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@ChrisBeaumont
Last active December 11, 2015 04:09
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{
"metadata": {
"name": "midplane_fit"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Tracing the midplane of CO in the vicinity of Nessie"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Summary\n",
"=======\n",
"\n",
"Our simplified model is that there is a \"true\" centroid to the CO emission, and this emission is smooth on >1 degree angluar scales. In addition, there is *intrinsic* scatter of the CO around this centroid on ~<1 deg angular scales. We say that anything which diverges from the smoothed centroid by less than the unsmoothed centroid is colocated with CO.\n",
"\n",
"Under these assumptions, Nessie is not co-located with the CO gas, but is very slightly below it. Likewise, the true CO centroid is significantly curved in a way similar to Nessie\n",
"\n",
"\n",
"Important Caveat\n",
"----------------\n",
"\n",
"While Nessie's offset is significant, it is only ~1 pixel at the resolution of the CO data. In principle, the centroid is known to much better than 1 pixel, so we *should* be able to make statements like this. However, this depends on the mapping between pixel and world coordinates being accurate at the sub-pixel level. It is notoriously easy to get off-by-one errors when doing this conversion. I have double checked the obvious ways I might have messed this up, but I am ultimately trusting that the python wcs library (and the FITS header) are correct.\n",
"\n",
"Can we use the GRS survey to look at the arm at higher resolution?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from astropy.io import fits\n",
"import matplotlib.pyplot as plt\n",
"import aplpy\n",
"import numpy as np\n",
"from pywcs import WCS\n",
"from scipy import interpolate"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nessie_l = np.array([-17.6, -20, -22, -24, -26]) + 360\n",
"nessie_b = np.array([-0.157, -0.39, -0.513, -0.383, -0.242])\n",
"nessie = np.vstack((nessie_l, nessie_b))\n",
"\n",
"pth = '../../Wco_m50_m30.fits'\n",
"\n",
"def nessie_figure():\n",
" \n",
" fig = aplpy.FITSFigure(pth, figsize=(14, 8), dpi=500, convention='wells')\n",
" fig.show_colorscale(cmap='PuBu_r')\n",
" lines = fig.show_lines([nessie], color='r', linewidth=7, alpha = .8)\n",
" return fig"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = fits.getdata(pth)\n",
"hdr = fits.getheader(pth)\n",
"wcs = WCS(hdr)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's the CO data, with \"Nessie Optimistic\" traced in red"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nessie_figure()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Auto-setting vmin to -1.013e+01\n",
"Auto-setting vmax to 9.871e+01\n"
]
},
{
"output_type": "pyout",
"prompt_number": 4,
"text": [
"<aplpy.aplpy.FITSFigure at 0x1092e41d0>"
]
},
{
"output_type": "display_data",
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lZvURLAmsDgJAnbVRqy9ix2/Sd9OsHVjt0LRXEqx8Y/gxtfrI6klfgvopG6uu0T5i8ocx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\n",
"text": [
"<matplotlib.figure.Figure at 0x1092e4290>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's overplot the centroid of the CO emission"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y, x = np.ogrid[0:data.shape[0], 0:data.shape[1]]\n",
"\n",
"bad = data < 0\n",
"data[bad] = 0\n",
"\n",
"ys = np.sum(data * y, axis=0)\n",
"w = np.sum(data, axis=0)\n",
"ymean = ys / w\n",
"pix_scale = hdr.get('CDELT2')\n",
"\n",
"midplane = np.vstack((x.ravel(), ymean))\n",
"midplane = wcs.wcs_pix2sky(midplane.T, 0).T\n",
"\n",
"fig = nessie_figure()\n",
"lines = fig.show_lines([midplane], color='k', linewidth=5, alpha=.5)\n",
"\n",
"#lines = fig.show_lines([mid_hi], color='k', linewidth=5, linestyle='--', alpha=.5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Auto-setting vmin to -1.013e+01\n",
"Auto-setting vmax to 9.871e+01\n"
]
},
{
"output_type": "display_data",
"png": 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WN0UYqV6Ldq/C1ncx31RthBQFqQwCgCHVUVVbJJ2/SM+mpXqgqodKe6WAKt0krJhaLSR1\n3regVvJGVdbENiL/0yjrrrTPqbhntIClew+pwonttOqeRLBXWukn7HLZcAr1IGOlfChMh8o+USJ3\nSplS3g/xTRghhBBCCCGEFBUOwgghhBBCCCGkiHAQRgghhBBCCCFFhIMwQgghhBBCCCkiHIQRQggh\nhBBCSBHhIIwQQgghhBBCiggV9VaQ1JkqPaakulSpQyXNtqBxBgBDT8vHEwNZ8LGK16NQkWYEVae3\n1Hy7Sjcv4fKIuzRJua/SkAqKZU1VdSS1vhXlvkp7m0mZbtaEMiAq2AFRwa2WzUtpoCgDUnk/Vet6\n8tGktFHVN2nfLLrYvFDlp5BvmrQUAQDYzNNA1HwrUIUpaHoqy7SwT3WerHnZ1XRhuQ4ISmQA0C2o\n/aUwSjW3tMSHQn2sKgf5otS9S22RpHRXLR9gIW0ktb+qTAvlRrmMhbhUgaJvs6LNFiNQnHZFc1hQ\n1AvIaQa5jqryzUoa5KsUV+WZdH5V+ZR2KY3u+S9ZYqnNFbGQb8p70zzbaVUZEJbNUZYNqV1xecUg\nTruFJVOkOCiXDhLyTXEPnu/yMHwTRgghhBBCCCFFhIMwQgghhBBCCCkiHIQRQgghhBBCSBHhIIwQ\nQgghhBBCiggHYYQQQgghhBBSRGhHtILLZ77dijFFZXORTDMOhVkrJ9jCVKYwKQ66uX1vMowwfpcM\nhIDapGZGVmE+k9LAgm3IyCTEfZq9cDYqtblHKDtZlVVIMBpKx1LZsCwg2RaVaSYazmTjkiGVQ5WN\nSrDCiWkDyCY38SSKsiaktQGFvVSyoarsnZKJspDmN0Cuu6q2SLSVKcqhsM9SmbZkHhNQ5YFghFXn\nm4DCrGXFkimmj2TvVKSZaFdV1Rux31PkjRDG0BX9gZQ2KlOZaI5U5Jt4PCuavXzPIaeB0poopbXK\nvJun4Q2AnAcW8lpEWaelslZYK7FcRxRtrhW7rJQ2CpOwKgoi4n2rsF1VP9wW7sukfk9xL+l1madb\nLCXXA128L8m/P4JNFeaUdFPZF8E3YYQQQgghhBBSVDgII4QQQgghhJAiwkEYIYQQQgghhBQRDsII\nIYQQQgghpIhwEEYIIYQQQgghRYSDMEIIIYQQQggpIlTUW8HlNd+eScphdIWaWsIp6D6T8rE0V4np\ndiMzmvfptZJg3mGUOs6cR9guqNa9peKhNLuQNipFvqDtVmmZLal6JT24UmkuKeoV5UZSAksqZwua\nWKUC3GZBPy0pzdMW1PGaHDdDilshddoqxbN0HtVSEU6h7KrSU1IcWylrqrIunceu6ELEMq1QrUtx\nsFIPrWAhr6XlEJRIKn6Vhj5joQ8RNdfCEg5W2kLVkgNWkI6nShtxOQRVuZEU9QrPdy7f59aq8wvH\nUqWnkAaGoSifQt1VLkegatsKiXStVpbYsLAkhKj2V6rjLZR36b5IFWdpuSEr51elZ779gWpZEmn5\nJgvufElDDwAlbvN0iyblNiKq6qtEpHjnkQezLJXCN2GEEEIIIYQQUkQ4CCOEEEIIIYSQIsJBGCGE\nEEIIIYQUEQ7CCCGEEEIIIaSIcBBGCCGEEEIIIUWEdkQrpGLm2yXLDABkBdONXbDzqM6jQk+ZbtYU\npkHRAOOWTDcA/FXm21U2P+l60gnz7dGwfCyPUHTTcTGIIZxfU12naMdR2H5Eu5eifFgx1kkIZivN\npihrog3KiglKYZaSLE1OwZwJQJOsRqq0yQn7BKsSALkuSmZTqU4DgEOyYalMh8L5laYyycSpKp+S\nMU9lR5TsmYowkiFSZbkTTFKaUzDSqrBg2TMyQvupKYxgkmFNlTZCHmgKW5pht2ANlOJgSOXQQnuj\nqu8SmqItKiSSYRgKw67qekQbqbDdUNlYLZRPoc2xZOhU3HtokmVY0eYZUt+vMuzma6RVmCvFuqOy\n00l9i1Q2AEX7qchrySioNPYJeeBRtO1SObBimxTKp80n30tW+s2v0yX1hwCcdvN9PrdcpsuEftyu\nKB+jgm0xmZHbvLRgM06lFfe5p1psaUckhBBCCCGEkDMHDsIIIYQQQgghpIhwEEYIIYQQQgghRYSD\nMEIIIYQQQggpIhyEEUIIIYQQQkgRKeogLBwO4/rrr8fSpUtxww03YGxsbGr7Nddcg9LSUvz93/99\n3uEB4OGHH0ZbWxuWL1+OV155ZWr79u3bsWrVKrS1teHb3/721PZUKoUvfelLaGtrw4YNG9DZ2Tm1\n78EHH8SaNWvw2GOPFfLyCSGEEEIIIWT+FPVvvvkmNm/ejCeffHJq26ZNm3D99dfje9/7Hh555BFs\n2rQJmzZtgsfjwY9+9CPs2bMHe/bsEY8phd+3bx+effZZ7Nu3D6FQCNdddx06OjqgaRq++c1v4vHH\nH0d7eztuuukmvPzyy7jxxhvx+OOPo7KyEh0dHXj22Wdx33334ZlnnkEkEkFvby927tyJW2+9Fffc\nc8/MiEgadEk5q9qn0tBb0YZL2lmVclXSpKqUq+MD5ttVinoJSbvrLpHDCHE2knJ6aiUB8zCZpBxG\n1IuqlK9C/qiU6sI+Q6WflpDirNLhSkpiC3GGQrMtppuk8AUAu1AOVGVNF1TKLsVyBG5Bg56MCtsn\n5GNJ6am6TiuKZStLCEhtkar9ygnpmVXp0YV9qjBS+yWlm0q9LOnZM8KSGIDc5qnOIy79oEobKQ8U\nCm5BhW+kFecR81pSg6uWlxDKoVIBLiyXoQhjWFiWQ1S0q5aEEPtKhT5fVI1L9VpVp/Ivn5piCZa8\nUV2nU2i/hCUcAEWPaJPz05DaaUk1ripr0v2Sqj+SrlOVNlIbobpfEts14fyAuPSFQ7HsgoSy+RJ2\nSrr32nI5zvVl5kvNlDnldqVUUMfriqUNpBLlU6jwy7zm5UClqE9mzPM0HJWvJzxxShxOl6JeM8nY\nF198EXfffTcA4O6778YLL7wAAPD5fLjiiivgdisKpCL8b3/7W9xxxx1wOp1obW3FkiVLsG3bNvT1\n9WFiYgLt7e0AgLvuumsqzMnH+sIXvoDXXnsNAGCz2ZBMJqHrOnKqdV4IIYQQQgghxALzNggzTJ7A\nDQwMoLa2FgBQW1uLgYHpb1PMBm5zCd/b24umpqap3zU1NSEUCs3Y3tjYiFAoBAAIhUJobm4GADgc\nDpSXlyMcDsPv92Pt2rVob2/HX/7lX+Z72YQQQgghhBCipODTETds2IBUKoVoNIpwOIy1a9cCAB55\n5JFpv9M0bdZBl4pPGl7Fxo0bsXHjRnH/D/7iUtPtW/b34K39PfMSJ0IIIYQQQsiZw+ULg7h8YSUA\nIJGaPj283KuY2op5GIRt3boVALBlyxY89dRT074Jq62tRX9/P+rq6tDX14eampq8ji2Fb2xsRHd3\n99Tvenp60NTUhMbGRvT09MzY/nGYrq4uNDQ0QNd1jI+PIxgMzike//ybbeY7VN9UEEIIIYQQQs4Z\n/nQsjD8dCwMAwhPTv5u8akmVMmxRpyPecsst2Lx5MwBg8+bN+PznPz9rmLmEv+WWW/DMM88gnU7j\n2LFj6OjoQHt7O+rq6lBWVoZt27bBMAw8/fTT+PM///MZx3r++edx7bXXfrILJoQQQgghhJA5MG92\nRLPpgvfffz9uv/12PP7442htbcVzzz03ta+1tRUTExNIp9N44YUX8Oqrr2L58uW455578I1vfAPr\n168Xw69cuRK33347Vq5cCYfDgUcffXTq3I8++ii+8pWvIJFI4KabbsKNN94IAPja176GO++8E21t\nbaisrMQzzzyTz9WZb1ZYnUQDn9L2I5wnK1t4NJdgeIPCJCcZl0Q7I0TzmcrmpwkWMSMt2KAUaSNN\nRNVc5nYeAIBungaayhwppYHKWugQ4qCy+QlTa5Vx85aab5dsULpsthKtV6opv1J5V6WNdDyVA0e0\n7ClsVOKxBBsXAGSE8iY9HHIqyppUblT2OcFe6SuRLaHxiYj5DqGsT8ZBygMLdi+VeUyKg3IauZDW\nUvupqh+i4U22oUJqP1RxFgyAMBTpKbVtkqETkC2yinJoJASDp2Tgk9ouBZqqDEjXqXrgKhnzVNZE\nqd9TGoslQ6SiTxbbPCGvVXZGqaw7FWVAymuhbACQy67yobeFTz2kdFMYYTXJViv2IRbipbqPkfoQ\nVRmQ8lqVnirbooBNsCPqWbke+D3mddErGAgBwCOYCzPCeSQDIgBcUGGen62lcpickG6q0tkxbt5+\n1Smm/nVHze9x0i75TANx8z6sukyWCEYS08vubJ9NacZsr5/IDJx3/tx8h+Im5rQPwpQNkdDgFW0Q\nJgwCVYMwqTNSdXpiR6m4iSjWIEy8wVBU4DN1EKZUVguNpBUNu5VBmErvK+mCpcGEqgyIumSV/tp8\n3xk9CFOREOJmJd2kbsrKIEyKFwBDqKOa6vqlpTRUeSCltUpZLd1oK+po3oMwt2IJB4FCD8LEvlIx\nCBP7PWVbJMRbNQiS+hepXlvpj6wsf1LoQZiUbqoHGFJ5Vy2NIp2nWIMwcckUC4p6VXpKbYSifNo8\n5nUxp1C3F2MQtqhK7o9O9yBMpagXB2GK9JQGYWldbouODExfJul337wcVyqmJBZ1sWZCCCGEEEII\nOd/hIIwQQgghhBBCiggHYYQQQgghhBBSRDgII4QQQgghhJAiwkEYIYQQQgghhBSROSnqjx8/jsOH\nD+O6665DPB6HrusoKyub77iduQi2IUOlJBZsO1bMUkY2ZrodAIz4mPkOhfFJNEuprEbSsVQ2KknD\n7q80/73KxCSZiHKKZQIEu5amuk7JVpaS80C0sikV9UK6KaxsNr/54uI+wYQUHR+Xz5+yskyBZEdU\neI2k8q6qO6JZVKUNF9JNMoECcpmSzqMy2UnWLZUtTTD91Sh0uMcF+Z3SzCeVd1XaSNeqsoglxYUk\n5DBCmTJ08zKgKa2vgjFOkQcaFLZFMZBwPNVyBFIUJGU3INtNFYp6TUgDyUirXBJDqh9KDbuU1wrd\nvJRvqiVgDPPyqXTp5VvfAUX/IpkrVekpHMvjF4M4JG15WmG+la5HMuIC1my90nnEZXMgWyVVfaWE\nqv2SEJc/UVmBLZSbfK2vANyC6S+RktPGLdx7VJTI5bDEbR63WMq8T272y/3RknJFXgusqjQv7zuH\no2KYMuEep7FEjlsya57WusKOGM2Yp0GlR+73uoant62zGOpnfxP2y1/+Erfddhu+/vWvAwB6enrw\nF3/xF7MFI4QQQgghhBBiwqyDsH//93/H22+/PfXma+nSpRgcHJz3iBFCCCGEEELIucisgzC32w23\n+8QrPl3XZ10BmhBCCCGEEEKIObMOwq666ir8+Mc/Rjwex6uvvorbbrsNN998czHiRgghhBBCCCHn\nHLMOwjZt2oTq6mqsWrUK//Ef/4GbbroJP/rRj4oRN0IIIYQQQgg559AMQ6FnIaY4/+px8x0p2eYi\n2nEkOxAga1UkSxYg27VUU0iTgmLNUyqHkSxaLtnUBcHc6K+qM90eTSpsR5I9SWUtlAyACgOhaHZy\nyLahmspy0+2Do4ryIdmoVAYrycom2RlVx5LKgMJIZgkprXMKO6Jk83PLFjHROiVY4QDIVjKh7rg9\nsgmqzGse56ExRfmU8kdlzIuPmm9Xpadk05PqBwC4hThIZQ0AMkIdVeVBvkgmPUBu88pr5TAJSTep\nQLJ3qtoVqf2QbG2AbH9TtdNSOUgKbZFTYfOLC3ZVVRshlTWV+VboKw1Fv6cpTaUCUr3yV4lB3C7z\nep1KJoQQcr9bEzTPN6ddDmO3SWZmMQiCfvM8HY/Ldef4gJDXE8PyiaR7HEVf6S4zN/ymBCud8kIz\nQh6o7MdZ4TyJiBzGrrCeSjiEeqCq70J/5HTJ6VlVal4P9KxcRxsqzPsxoagpDYQXVZaYbrcr7j/T\ngp1wNCWXz84J87YgB7l81HrN080nWCgBoDtqfh5VGnRGp7dtD998IVY3mN8TAgpF/apVq8RAmqZh\n165d4n5CCCGEEEIIIeaIg7D//u//BgA8+uijAIA777wThmHgP//zP4sTM0IIIYQQQgg5BxEHYa2t\nrQCAV155BTt37pzavnr1aqxduxaPPPLIvEeOEEIIIYQQQs41ZhVzGIaBt99+e+r/f/zjH8HPyAgh\nhBBCCCGexEjCAAAgAElEQVTEGoovFid54okn8NWvfhXj45MfagYCATz55JPzHjFCCCGEEEIIOReZ\ndRC2fv167Nq1a2oQVl4uWz4IIYQQQgghpNAkJ8bQv/M9pCIjcJdXoWLhBaJl82xg1kHYD3/4Q2ia\nBsMwoJ2kmXzooYfmNWJnNFZ0uJJK2VCopCWtqU2eReoMVJtuz0jKV0DWGEvKWQCOkjLT7XpS1k9X\nNzSabi/zmqucq8vkaa92m7m+tXNYVuQbRqXpdn18UAwj4XDLenJRMawp1La6UD5Uyn0pfyQdrKT1\nB2SNsGppA0mZ7TbX1AIAdCEOKt28w7x8eD1yPUwkBAW2ou5WB83LdCZrXg6rSmVVcKnHvGkt98na\n8sPdgv45FhbDwGf+UKwuKKdnf1jQk6vyQCqHijbC6TdPT4+zQgwzEREU8dISCgr9tZQ2Sn2/hAWl\nuqqdFpX/qjZCWOJDVaaX1Jtr0A/3CmHSkmodsm5epQCXlP8qrb7QfmjRETmM37xtV8ZNWBKi1CeX\nqYoS8/o77jTPa5dCfy31E067HCaWMm9zVe1KWjfXk0vqegDoGzMvH66SZjHMRNS8jXColq2RkO6L\npH4SEPNatXyBYRP6sPSst8YmJ1L0lVI5FPo2APB5zdMtLpQBQO53VCwpN7+XGUqap/VgQs6DbYPm\n9V2ldD82Yd62pk/R6htZHZGjuzF+ZBfS+kflY3gIPUf2w13VCP/CC1FX3zRtnHIyoZh5fS9xym3u\nobD5/WyXoMgHgLbA9PRU6fmBOQzCSkpKpi4qkUjgpZdewsqVK2cLRgghhBBCCCGWSY70Ibz3Hegx\n8/XrUsMhpIZDyFXXIbB4NXw1zeJg7Exj1kHYd7/73Wn/37hxI2644YZ5ixAhhBBCCCHk/CWbTmLs\nwHuIhQ7P6fep0UEMvP972L0lsLu8sDkc0OwO2GwO2ByTf+xOD+xu79Qfp98Pu8sDm8N5WgZueb+7\njMViCIVC8xEXQgghhBBCyHlMvP84wnveQU41FVwgm4ghm5g+PVYaXw19NG3c6StFResKVLSugM1h\nYTqqRWY906pVq6b+ncvlMDg4eH5/D0YIIYQQQggpOBM9hzG8c4v8A02Dt2Ex0uG+GYMtq2TiExjc\n9y7CR/egatlaBJrbCnLc2Zh1EPbSSy9NrQvmcDhQW1sLp1P+mJAQQgghhBBC8iHaewzDu/4g7ncF\nalC2rB3O0iCMXA7JgeOIHtsDfWK0IOfXk3H0f/hHhA/vQrJ2Jdy1rfM6TXHWQdiDDz6Ip59+etq2\nO++8c8a284lli+qn/T/asQM2twcD/gXQNHOzkUewJ41PqOx35oNdv2ATBIBsztzk5laEgbfedLPP\nLRcP0RIVl41LDRXmFp5lgp2nyS8bdY4LRh27Ta4s4ai5mS/pMr9+QDbgHRuU8y3UO2S+w6Owz7lk\n26JIRjCZSYupq6xwXsEkp2h8JDuhW2EbkuxeNsV5Uknz6/S65PMk0kJ5T8v2zrG4ufUpkzIva9cu\nbhGPVSVYqvaOyucfrzTPA4ddtgk6hPLuV1iyllTXivskwgnzuAU8CitbztzK5nfI+ZaD+XlONWV9\nzJ5QRDyWQ7DMJdJyPbD7zK2FUvsNAOEJ8/Lp98rt11LBWtg9IpePIQTMdygMu9K1LqwzT+dYSm6j\noknzcqgyAI6FhRsjqY0C4PCaxyHnka2rOcGaV1kuhxmJmJdDQxE3yVwomQZjKTlvpDYvJdgMAdmC\nqIiyiEvRV0p5qqo7qxaam5m7R2TjpmRuXFJvXj6tHMsh2YoBZAyhLZLMqgCQFqbHORWmVsGgqtnk\ndrq23Lz9KBPqBwB4hXzbUGtuqgWAesEG2hU1v87dgjEQAIYEc+KxUTnfTu6rkoPdCO98HTCMGWVN\nc7jgXbQWtoY21FWdVK8XLoPRuhSJoR5Ej+9BYqTf9DzlLvO0lvoWJKJI7v8j9O598NS2wObxwe4u\ngd3jQ2jMBk0wW55arRO62sY76yBsz5490/6v6zq2b98+W7DzhkxkBPHOPYAB6MY+2Beth608/5sc\nQgghhBBCzjdSI70Y/fBN0ycKzmAjfMsvg01YGkjTNPhqmhGoX4BsOgk9mYCR1ZHL6ZN/Z3XUuezI\nZtLIpBLQU3FkkglkUgkYsRgyyZj4JEOPjiIanf4wKZ7IAHYnbKVBOBuWwV4pq/FnQxyE/eQnP8HD\nDz+MRCKB0tITT+2cTif++q//2tLJzjUMw0D04LvAR3lnJMah730dtqoW2FvXQHMJa8EQQgghhBBy\nnpMeHUB4x+swTGbrOIONKFl1FTTFmpQnY3d5YDdZm67Kb77uWjSTRTIyiv4D2zHee2zukc5mkBsb\nQGpsALbSSjhbL4I9UDf38B8hDsIeeOABPPDAA7j//vuxadOmvA98PpDqO4rM2MypZ7nhTuTCIdgb\nlk0ucKlp0B12QAOg2aA53bCV10JTLSRJCCGEEELIOUp6fBgj238PIzfzUwVHoBYlF1455wGYVTxl\nFWhtvw7x0SH0738PE4P5GeBzEyNI7X4dtvIapNdcClfF3GfDiaOAAwcOYPny5bjtttuwY8eOGfvX\nrVuXVyTPRfT4+OTAyuwtZk5Htmfv1H/Tp8y/1uwOOBdfDMNbc9YsKkcIIYQQQkg+GLkssrFx6NEx\nZGNjyEbHoMfG4NDNvzFzlFXBv+rqor6s8FVUY9HlNyE63Iv+fe8DoZ68wufGBzHy7stwVzWgbOVl\n4vetJyNe3b/+67/isccew7333ms6SHjjjTfyity5iH/JOrhrFiC6fxsykZG8whpZHelDW2GUVAOt\n66A5zV+VEkIIIYQQcrZh5HKIH9+DZNde5DKpmT8wkYk4S4NwrfgMNIdCdjKP+KsasPjTN2P8aCcy\n40PIJuPIpWKTfydjQHJcacNJjw3BNsfBo/irxx57DADw8ssvw+OZPkBIJvNfPO1cxVlWhUD7TUj2\nHsbYzq2Abm7gExkNwYiOAK3roVU0zE8kCSGEEEIIKRKZiTDG9vwR8bBgjDbBURJAcP31GM/M7xTE\n2dA0Da5ANVyBmdbPdDiO7GgvMsd3IRcNz9hf0rISNpPv0syYdah2+eWXz5iOaLbtfKK5zCRxy1fB\nV9eC6OGdSPQcnDFKlrSzBlwAckDne7AnF8O5aB00+6T6UtKjqzTsHkEP7lRoWqXpkCpVbyZrvq9E\nobWXFPE7BG35eNp8OwAIJn7zvJlD3CTWVporjt9UTCE90mt+nSptuKQeDo0o3MM2QQ0tPYFxysps\n6alOXVB+nS6VAWmZBACoKDEv04Pj8oOdUr95HozGzHW4AFAvLIfQpyjTZcIyDp4y83TzKdTcjSXm\nYbqjJk8CP6IpaB7nBaVymfYIyuy+uPwwqFKoB7oFz7Uiq1HnNc/r1UKdAoBYxlznGxW2S3plQE6b\nkCJtyoT2UzVj/PCoef7kFOmZFK6nqlSuo1I7XapoVz7VZK619wvKfV2RoSXC0gKjina6ytNouv33\nPfKaPpXCsgcXKcrNK93mx4srFPElbvNlAiTVOQAMCO2UpHSPJOS0kdr8hgq5vtcL7adXsexDjZCe\nx4RlXgC5LVIt1eAU+qNFNXK++YX6NizUUWlpHABIZoR7LEU99AttezQp51taNw+j6t+l46mWd1hX\nZ66Vl5Y/AYCIsISA6l5KSp9Sp/l5rhaWDwCAI5HJMpXLZTFw8AMMHtqJCsOAQ3HvlTxJEe/wlaLq\nkhtg93jR7JfLtNS2twnLHQHAh2HzZYUWKvpXn1A+/R4nUN8Co24BMkNdSB77ENn4OAAgBQc81W0Y\n++j+RBfukz5GTJm+vj709vYiHo9jx44dMAwDmqYhEokgHpfXCTifsTndKFtxKXzNy5Aa7EI2lQBg\nAIYBI6VP/p1OIhM2/+gvO3AEufEBuJZdAVtpZXEjTwghhBBCiEVio4Po3vEWknNdPFnT4PD44QrW\noWzpOtgFDf2ZiKZpcNW0wFnVjPTgcSSPfQh349K8plGKg7BXXnkFTz31FEKhEO69996p7aWlpfjJ\nT37yyWJ+juPwB+DwT38CqZ30RCw92In4oW0wTObHGskoUrtehattA1C6dN7jSgghhBBCiFWyega9\ne7Zi8PBu+UeaBm9lA1xlFXCVVsDlr0DcVQKbsPDx2YJms8FdtwiumhZzUZ8CcRB299134+6778bz\nzz+PL37xi580juQkXDUtcJRXI35gK5ID3TN/YOSQPvQnxBGHd9FFZ509UY+OIn7kA2Rj49AcTmhO\nz+T8WIcHmmvy33Z/AHZ/8Ky7NkIIIYQQMkm4vxsH39+CwbD89svpD6B69afgqaiZtj2pmCp5tmFF\npT/rRzJf/OIX8dJLL2Hfvn3ThBwPPfRQ3icjJ7C5fShZfQ2SR/chc+wDwGSRusTx3cjGx+FfcTm0\ns+BJgWEYSIYOIXboPdNF906demz3V8DTvAKupkXzvg4EIYQQQggpDOlkHId3/gkDnR3ibzRNQ6Bt\nDQKLV8/ZGHg+MWuKfP3rX0cikcDrr7+Oe+65B//1X/+FSy+9tBhxO+fRNA2O+qWwBeqQOfBH5GIz\nnyKkB7sQSUThX3017B75A9fTTU5PI7LvHURDR+ccJhsdRWz/n5A+vhPepmXwNi2ds1GGEEIIIYQU\nF8Mw0H/8IA7v/BP0tCyb8pZXYsG6qxB2zL5e1vmKZqjUMQBWrVqF3bt3Y/Xq1di1axei0ShuvPFG\nvP3228WK4xmH994X8w6jxyKm24NVQQCT64alDr2D7FDX1L6yk+xJNpcXwbWfgStQDa/CqCPZhpr9\nsnXLL5iVVLa0VztPaDn1yAgiu99CLjGBtMIEI1mnStyT59dsDrjrF8HbciHsXj+WVfrEY0kSr3RO\nNltVuM3fJqqMdS2CrUxlETsaMbdOqayWAZd5HvRE5LhlslJ6mj9biSRkm6BXOL8qzof6oqbb9VRC\nDFNTaW5WkmxcAHBLS9B0e4fCqBiKmadbUkgzAHAJxiXJzCeZMwFAOkuFS37uJdXrPaOyCKlJsKVJ\ndRqQ8zSpssIJZUdlAFxRYV5/lyoMVkNJ8/NsHZgw3a4onggIaa2ywvUKVjaVQUsyj4UF6yugNpxJ\n2GB+sVIbBQAbas0NaxIuRYImhPIxLOQZALQFzPM6JpjsALk9rhXspQDwxMEB0+2jijZPMlQeH5Lr\nm2QHdAv9rsoUK9XD1Y1ynklp4JJMuQAcwnniumyOlOxz0rEAiH1/UGHGcwrHk4ybqjYqLaS1ZFwF\n5P5gscKyvH/MvH9Tlc9RoS1YXy0PTtZVme87KJwfAEqEcuhW5Jtk3OyPm9edzNgg9u/cisH+mQsZ\nf1zebXY7lq26BEtWroXNblfGeULIH1U/sW/MvI7KtQAYFvJgsaJtHxHCqOrO60enK+t//X+04/KF\nsmhv1p7A651MCJ/Ph1AohMrKSvT3988WjOSJZnfAvfxTyPh2I9M588PGXDqBkfdeRnDtZ+Ctaz4N\nMZzJydMPoRj8zPl4OR3J0CGkBjpRtuYzQGVLAWJJCCGEEEKsYBgGBnqO4ej+DxAPmz/w+Jiq2kZc\ntOFq+MsqihS7s5tZB2E333wzRkdHsXHjRqxfvx4AcM8998x7xM5HNE2Dq2U1bN4ypA5tnbHfyGUR\n/uB1eC65Hp6q07uwczYxgdih95Aemvk05GNc9YvhrFsCI5OEkUkhF40BmSRyE8PITYyI4Qw9hYnd\nW6A33Q4HpycSQgghhBSEXC6HibERhAdCODw+gNjEOFxuD0rLAigtD6K0LICE0w+PrwS9nYdxbP8H\niEYmP5dxC29JXS43lq29HAsWr6BwLQ9mHYT94Ac/AAB84QtfwOc+9zkkk0kcOHBg3iN2PuOoaYXm\nLYX9+DvIpqa/djVyWQxtfw3VF18HT2V90eOWzaTRe3AnRt/bKr790uwOeJZeClftwmnb0yctWJiL\nDEPvPYDscNepwSf3p+Lo3/kWGi+5nhWaEEIIIcQChmFgYmwYIwO9GBnoQXiwF3p6cuq1/6RPEYYG\neqf+LU3DN6N54VKsuvhTsLnOnjW+zhTympju8Xjg8Xhw2223obvbRK1OCoa9tBJVGz6H8AevIxOZ\n/tbIyOkfDcSuhydYW5T4GIaB4c5D6N7zLjKpuDgAs/sr4F35adh96m8RbGVVcJV9CrlkFN7xY0iG\nOmBkp89Bjg10Y/ToHgQXryrYdRBCCCGEnMtk9QzCAyEMhY5jtK8TyXis4Oco8ZfhovarUNfUCgBI\nK765JubQF3kGY/eUoPLiz2Lk/VeQiQxP22dkMxh6/1XUtN8Ad6BGOMInxzAMTAz3o2v3VsRGB5W/\n9TQtA1rW5qWbt3n8KKm5GJ7mFRjb9hIMffpH2UP734c3WAtvxfxdYzHR4xOI9x5BNhmDs7QCroo6\nOP0BAFT0E0IIIcQa6VQCgz3HMNhzDOH+HmSzk7OPHAWeTVQeqETbhevQ1NIGm533Lp8ElUyk4ITD\nYVx//fVYunQpbrjhBoyNjU3te/jhh9HW1obly5fjlVdeKVj47du3Y9WqVWhra8O3v/3tqe2pVApf\n+tKX0NbWhg0bNqCzs3Nq34MPPog1a9bgscceK+TlW8LmdKHy4uvhLJ1pVzGyGQy++wpS48MmIa1j\nGAaio0Po3r0NH/7uGex/60XlAExzeVG66ir4l19qeb0vu6cEpSsvN4lMDr3b30BWoUE90zFyWST6\nj2P4vVcw8NavMHF4J+I9HRjf/y6G/vQi+l5/Bn3vvYrRI7uRHB00XWONEEIIIeRU0qkEDn/4Dt56\n4f/F3m1vYCh0fGoAVkiq6ppxxXV/js/cfAcWLFrOAVgBEBX1N998sxjotddeQzwua1wB4M0338Tm\nzZvx5JNPTm373ve+h6qqKnzve9/DI488gtHRUWzatAn79u3Dl7/8Zbz33nsIhUK47rrrcOjQIdhO\n0a7mE76jowOapqG9vR2/+MUv0N7ejptuugnf+ta3cOONN+LRRx/Fnj178Oijj+LZZ5/Fb37zGzzz\nzDOIRCL4h3/4BzzxxBO49dZb8etf/3rGtTn/+skZ2wDMXI142j7hNa2/SgwSOEkdamSSSO5+HUZs\ndIaCXHM44Wu9EO6aFqxpMRd2SAp0YFJzradTSETHMRQ6jsGuw0hEzZX6H9MdS0Gz2RFYdAGCSy6C\n7aPFpI+OyirSSMK8UThZ45s6sh2Z0OQ3h7mTttuDjXCtvHLq+7Da8vyFHasEHexAwlxLDQCVHnPt\nbKtC+f+x5jodn0D4+AGMdh2Cnkoodd4lJynF7U4nymuaEKhvga+mGQ63+bWq1L9mDCflRlma//1e\n73he5wCA1qC8tMC4oHxdoNBsS7rkP3WPmW4HgHFBr7u8oVQM878vMX/bKqmk7Yqni9uHzJXqdT5z\nHTAgL3sQVehwJQ27CqkUXlwjp01cKB99Mbnu1AjK5uUKtb+UpDsERf14Wk6bdwfNw0jLFwDyEh8q\ndbukxo4o4uYRliNYISjdAXlZDpXKuUvQvR8cN++/f3LZIvFYoQnzY71wTH4IuEEoU6rvTVLChV4Y\nlMvN6yHztuCVrrDpdgDQBaV6QKEa7xOWxUgJ6nTVCkDlPvPzqBcNMqdR0R82Cm2OtLQCAJQK7cpo\nSlb+r6syz2u74iWMtLyBtLxDnVduPyXdfFyhtW8Q9OxlQjsAAGuE+whVvu0eMZ8KeIGirywR7tmO\nn1QG06kkjuzfiSP7d0LXM6IKv8LkXsHhcCJY04ArVrahtrYB6XQSo6NhjI+PYmxsFAPDI0gk4nA4\nnGhesBCrLroYlVW12DVkvjSNdB4AcAp9OCC3uV2KpUTeEfqDbkXbLin/E4r+tanE/L5EtdTNf3UM\nTfv/k3esQ/sC2RQp9uD33nuvGOi73/2uuO9jzGQKL774IrZs2QIAuPvuu3H11Vdj06ZN+O1vf4s7\n7rgDTqcTra2tWLJkCd59911s2LDBcvht27ahpaUFExMTaG9vBwDcddddeOGFF3DjjTfixRdfxA9/\n+EMAk9KRv/u7vwMA2Gw2JJNJ6LqOXAG064VCc3rgufAzSO5+DchOrwSGnkHs8AeIHf4Ah4/Woqxh\nIcoaFsJTWoFcLgs9mUA0mkQmEUM6EUMmGZ/8+6P/H8mlkcvzqYm/rhVVKy6GsyS/dWhmw7VwDbKR\noRn2xGw4BL33IJyNywt6vvkgm0mjb/c7GO2WV5FXh88gHDqGcOgYsgD8wVqU1y1AeX0LvNS+EkII\nIeckmUwaoyNDiI0NYXx0BNA0+Hwl8PpK4PX6MKI74PZ40HO8A0f27UQmM7dZQppmQ2VNA2oaFqCq\nthGBYDVsdjvW1p0YPLe2nvj9eFKHrmdgtzsoR5tHxEHY1Vdf/YkObPYEaGBgALW1kyKJ2tpaDAxM\nrjfQ29s7bcDV1NSEUCj0icM7nU40NTVNbW9sbJw6bigUQnPz5HpbDocD5eXlCIfDCAaDWLt2Ldrb\n2/H973/f9Np+cPMa0+1bDvThrUPzt4aa5vLAs+ozsB96E9m4+ZuqZGQUycgoBg/sgN3lRjaTAgzA\no3gc5cnjabo/UIm2dVdgvyE/Nf8kaDY7PCs+hcT2/wXkpj9lzxzbCWg22IONgIU3YcUgER3H0T/8\nLyQnRgtzQMNAdKQf0ZF+hPa+i9LqBrSsuwrukvlJ/2JgGAb06Bg0mw12X9m8NPCGkYMRG4eRjEDz\nlsFWwsErIYSQ4pHJpNEX6sLevfswNtSHbC4Lt8cHl8cHt7cE2ZoKeLyTb3jDwwMYGR7A+NgIYABO\n4Z5tTLEI/Kk4XB4E6xdgTdtS1DQsgNMlzzgxDe+Q3wqTE7RWlaD1ozek1TXT37iVzjJjqeBijg0b\nNiCVSiEajSIcDmPt2rUAgEceeWTa7zRNU958zXZjNlv4T8LGjRuxceNGcf8///dO8x1W5hHkieby\nonz9DRjf/jtk4+avZD+mYN9RaUBFTSPqWpehtqVtcprogHq64ifB5vHDvewyxPdsmb7DyCFz5H1k\njryPcGUlXJWNcFU2whmogXYGzE0eG+jGoa2vITnLVF2XrwyldQuQmhhDPDyAXFae4nEqE0O92P/6\nr9Cy9tMILl72SaNcdDIToxjb/QdkJianCWl2J5xlQbjr6uEpr4KnvBIuf3neddvQM9Ajw8iOD0GP\nDCE1PACclK5aaRUcjStg1C2HZivqp7CEEELOE5KJOHq6jqKn6yj6ejuRy2YxcNL0+NRJlsJMb+EH\nOZrNjvpFK1HdvBhllbXQbDY0lp2ZD63PFY4Px3B8eDJfT52OeIliKiIwD4OwrVsnFxnesmULnnrq\nqWnfhNXW1qK/vx91dXXo6+tDTc3kNxiNjY3TlPc9PT1obGyccex8wjc1NaGxsRE9PT0ztn8cpqur\nCw0NDdB1HePj4wgGgwVMifnD7vahfP1nEd33DtIjM98YFgQNCFQ3oKZ5MaqbFsHtlecuzweOqmY4\nGpZC7z1kuj8bG0ciNo5E1z7AZocrWA9XVSNcVY2we8zn/s4XhmGgr2M3ju96R/yNpmkoq2tFRety\nlFQ1TA0yjFwOycgI3NFhTAz3ITLUh2xG/s4GmJzuePTd12CM9mPhmsthP0ueVkV7j2J4x1swciee\n5BnZDNKjAwjHTkw/tTmc8Nc2I9CyHL7KOvF4uXQSmcHjSA8cQ3YiPP0hSHb6PG9jYhiZA39A/+g+\n+FtWoqSpbeo7RkIIIcUlHhlF79EOTAz3Iqvr0ADAZoMGDbGsMfmg3e6AtzwIX7AOvooaAPI3Yaeb\n8MgQPnjvD+jv7Yb85e38YbPZ0bBkBZpXrIXbK38/Sc4s5k1RbzYd8ZZbbsHmzZtx3333YfPmzfj8\n5z8/tf3LX/4yvvOd7yAUCqGjo2PqO65PEl7TNJSVlWHbtm1ob2/H008/jW9961vTjrVhwwY8//zz\nuPbaa+crKeYFu9uH8rXXQo9FkBrsRHqwC/op31Hlg81uh9tbAm9pOaoaWj4aeJ3eiuxcuBa5yDBy\nUfnjagBALov0cA/Sw5MDbrs/AFdlE9zVjXCUVRfkzYeejCOX1WGzO2BzOGEYLmiahqyewdEdf8BQ\nl/n3Xza7A9VL16BiwVJoJgsZajYbvIFq1NQ3oK5tNXK5LKLD/Rjr78JYXydiE7IYo//YfkSG+7Fs\nw3UoCcy0Z54pGLkswgfeR+TYXhhz+M4yp2cQCR1FJHQULn8ZalqXI9DcBqfHN2nuHAphtPMgIgcP\niuvVSWTjUYzvfxeRwzvhq18ITbMhp2dgZDN4t8sLPZNGLpdFoLIWbasuOe11gBBCVBh6BvGBISSG\nQ0hFJvtKm8MJm9M1+be/BHaHEw63F76KarhLK07LNz6GYSA6NozhnmMY6jmKeGRUlGYkThIfRPqO\nA5h8kDlSXYeyqjqUVtahrLoeDtfpf8OT1XXs/vBd7P3wfRiSgG0e0TQbWpasxNJVF6MvyweLZxui\nHfFjrrvuOjz//PMIBAIAJjXxd9xxB373u98pD7xlyxZs3rwZTzzxxNS2cDiM22+/HV1dXWhtbcVz\nzz03ddyf/OQneOKJJ+BwOPCzn/0Mn/3sZwEA99xzD77xjW9g/fr1lsJv374dX/nKV5BIJHDTTTfh\n5z//OYBJRf2dd96JDz74AJWVlXjmmWfQevJXiQqcX/1/zHeoKqAmTJdzK94wSdPUXOZhjFQMNbYJ\nZAa7oEdOvBLVnG74/KWwub2we0om/3aXwObxweb2wVPih+ZwzWiYSxVGxe2d5jaqxLhiwGQXnmJl\nBKOirwJGKgbj4FtAYvr0xxKP+fODU69Bc7rhqlsMZ/0SVFWbD1TcJqYyI5tFarQfwfgQogPdSMVO\nOb/TPvUG6tQ3V7GPOhaXrxQt7dfDUz75hnVHvzx91KxPNAwDVbYk4gPdiHTuRzY53bA0ZVu02VGx\nvB3+BcugaRouqDAvH0nBBgYAAbd5XneMy7bL/YPmxqcNTeVT/84kYuh6/3XEw5Pfb0pWNK9giwMm\nLd0X/+4AACAASURBVISapsFf04RkJIxMYvK8B4fkxSclmd1ywWwFAGuqpg+43G4P2i+7GpesWm16\n0zIUl99YTgjz9vePylNVE4JxSWXmswk3Uy0Ke6dk0Lp2kTyQ14WbJV1hiVrcFDDdnhCMaABQLlgy\n3cJ3q8dC8kOK/9jRbbr9DYXx0ydaC+V2WjK8SemsYpnCjlgmpEFEYbnbP2Zef32CraxFYSmV0kAy\nMAJAmdCHuBS2tKRQ1i5UWDUzQjn8/w4PmW4HZOupqr6912s+DV8y30qWVgDwCd+K9CkMw8BHD7hj\no8B4P4zxfmBiGD6Xwj53Sl9pc7nhqqhFXV0TPJW1cJcGZzyobBSscCrDb/UpJmHDMJCYGEN6fAiR\nkQGE+7uRik3vA1NCn+QWvoc6uZ+w2exoXX4Rlqy6BHa7A0OC/Veq0wDgFcpho6L9PPm+aGigF1vf\n/j3Gx8JieQJkw69HqB/l5QE4fBWoqq6Fw+FEPB5DIh5DIhFDb3gcyeSktbC6rglLL1wPf+lknyst\nlrysUm6/GoT7BbuQB8NjsrWwJyLYQxX9RJVgvNwflvv3wYR5vVqqaD/rhTL9arf8/b5k+FX14x+e\nYsL8v29djXVCXwjM4U3Y8PDw1EAHAILB4JQQQ8VVV12Fq666atq2YDCI3//+96a/f+CBB/DAAw/M\n2H7yWl1Wwq9fvx67d++esd3tduO5555TXsPZhuYugaeuGZ7mlTD0NAw9A83pgWa3o9QrZ7VN0SGe\nbjR3CbDqs8DE8GSHM9YHxGU1+akYmRRS3fuQ6t4HW009vE1L4alZAM1+Ij0Mw0AunUQ2EUUmEkZy\nuAepkT4YWR2GoKiHYSinDZZU1WPBxdeKevm5oGkanP4Ayv0B+JuXYmTPHxHv75z5w1wWo/veQWKw\nC8ELLgOERrXYRIf70P3+69BT6puKuWAYBiYGzG+qRewuwOkGkupvJyVSqST+8ObLGO45giuvvB5+\n/9krQyGEnN0YRg4YPAYjtBdIn3oTOPc+PJdOITnQheHw5KcMNqcLvpomBJeug+sT2I5zuSzGBkKY\nGOnHxMgAoqNDyGbScCgGJ5+EXC6Lo/t2YLDnGFZddi1QUrzZIJlMGh9ufwcH9+1ULkMAAB6PD8sW\nL0Fr6xIEAkEkEnEkEjHE4zHYjTRi8Rj0TAYVwUrU1tShpqYWPl8JQsJgvEdYKoKcncw6CLPb7ejs\n7ERLSwsA4Pjx4zPW7yJnHprDBc1x5s6fzgdNswFlNdDKaoDm1TDSCXhyY9BHe6GHewFd/Q3Vx2RG\nB5AZHcCEwwVXZT1ymRRyyRi0dKKgCyRXLroA9RdcWlABhN3lRvXaaxDtOojw/ndN45scDqHvDy+g\nbv1lqFl84WkRUORSCYwcC2E8dAyxkT7xd766VlStuhzZVAKp8RG4E2NIjo8gOTacl6jkZDR3CbTS\nKmil1XAEqqH5ygFoMMYHoIf2wxg7EZ+V+96DLzaBtNuDtMuNlMuDkkgAWY8XObcHOY8XWY8Hht2B\nzs6jeOaZJ3H55VdjxYpV1PUSQoqKEQ3DOP4+MNvUfAvkMmlEQ0cR6+tEcOlaBBZdkF/cDANjoaPo\nPLRjxoyRYhCNjGLr736F4JLVaLngYtjs8/aVDfRMGoePH8XuD7YhplhL1e8vQ8vCNjS3LEZ1TT2C\nJ73tCQROiBoC/nPjHo1YZ9bS+uMf/xif/vSnceWVVwIA3nrrLfzyl7+c94gRIqG5vHAGgnDWLYJh\n5JCLjEAPh6CPhGDM4S2ZoaeRGjjxRkk1jSCveNlsWLTuShi18oKnn+j4mobSluVwB2sx9MEbSE3M\nvFYjp6N791aM9BxB69pPwxeQFwMvFLlUApnhLqQHO6GPDaK3TKHB1TRULL8YZa0XQNM02JxuOP2B\nqUWxc1kd0f4ujHYeQGy4d/aTO9ywVbfCXrsImu/EG3vbSXmqBergCtQhFxtDpWMA4a4O+GIT8MfG\ngdiJqWm+3pmD1pzTBc3rRc7jxftvv47+uga0Ni+Er7oWqfIquOsa4ahrgOEvAzQN2WwW6XQKkYkY\nMukU0ukUnE4nysor4XLnpwcmhJzfGHoKRvduYOAI5lv2YOSyGDnwPiZ6j6Di0mtQEqydNczEUAi9\ne95FfGwYJYppfxKllbUINi6Ev2JSsmYYORiGAb9Dg2HkkIxHMT7Uj/GhXqQS8vQ0Awa6D3yAkd7j\nWHrJNSirnD3uc8UwDAwNhHD88H70HD8MuyFP/9U0G1avuQSrLmqH3TF/g0Fy7jBrKbnxxhuxfft2\nbN26FZqm4ac//Smqqub/xo6QuaBpNtjLq2Evr4Z74RpomTj0kV5kRkKTb8kK+KGs01uCXFZHTtdx\naofo8Zdj8SXXoLSyVpyvXChcpRWov+IWDO3dili3uT0yPjqE/W+8gNq21ahfvm5eOoRsPILksQ+R\nHuzEXG4QHG4v6tZ/Gp6gbDy02R0oa1yEssZFSMciGOs6iInujhlTGktrmuAIVkOraIBmm9vyBLaS\nAJpXLkPdiotxw4dvI5vNwAUNLk2DU9NQ53HCqWnYkUhgf3pybrstk4amZ2CbmHzqOdh9HIPv/QnA\nie8jNABehxNJtxtJ1+RbtLTLg6zHg6zbi6zbg6zHC1cgiIi/Cr5AJUrKgygpq4CvNACXxyu+XTMM\nA8l4DJGRQUyMDsEwDJRWVKGyvgUOJz/CJqefXC6L4e4jGO4+AhgGSgKV8Adr4K+oBlzlsx+ATGEY\nBoysPvk9+FgfjK4PAX326WeaywtHRT3swXpoTg+QzUx+kpDNwO/RYGTSyEyEkRkfgpFVz/pIR0Zx\ncMuLqF50ARpWXgy7c+bbmsT4CHr3vodIvlPENRsCNQ2oalqIqsaFSNvNp+uf/C1h45ILAQDJ2AQQ\nGUJ4IITQsQPImUiZ4pFR7HztN6hsaIW/ogolgUpUV1bBU3JiPUrDMJBJJ5GIRjCWiCIRm4CeTkGz\n2SbFWzYbEn4vbDY7EokYOo/sR2zixFsv6VupyqpaXHHl9agIVueXJuS8Rrwz279/P1asWIHt27dD\n0zQ0NDQAALq6utDV1YV169YVLZKEzBWbuwSuhja4GtqQyySR6T+GdN9h5OLyx/jisZxuBBoXorS2\nGf6aRjjcJz76rHJPWvWymckBl8tbUtTpfza7A5UXXgFvdTNG925FNjXzKaFh5NB/aCdGQ0ew4KIr\n4K5uLsi59WQc4Y6diOzfPee18XzBWiy4+DMYNuY+cHCVlKFmxSVoWLEe0YFuxEYG4PT4UN64CE5v\nCXbtG7QUf7fThUtyOcAz/UP/qo/EBwucLqxIufG76ARicxjEGwDiegbQM3DFopPnEJKlzAB0lxsZ\ntwejbg8G3R5oXj/c5UHYKqrhCNbAVl2PMU3DeGQUE+Eh5Ey+qbPZ7QjWNaN2wRJUNbTkvQgnIZ+U\nTCaN7o69+GDXdqRPeksx2t819e9Svx9lwRqUBWtQWb8ApbxBBQAY6STSY4PQw33IxcZgfGRoNfQ0\nDIXwZxrlddAC9UB5HUpqq8UHOaWBEwMdI5dFJjKCdLgf3tgIEqMDMHSzNzsGho7uwVjvUbhLyiff\nUOVyyOWyk8uqRMfm9GLO5nCivKoGZZW1KA3WIFBdD+dJ/Wg6PffPADwlpQgGK9DQuhQLlq7C7q2v\nIzJqJl4xMNJ7DCO9xwAATpsGu8MFf3kQ2ayORDSC7EefMDiENOsTJDhmOBwOrF53GVavXs9PdUje\niCXt3/7t3/DYY4/h3nvvNa3cb7zxxrxGjJBPis3pgbt5BVxNy5GNDMEVPobkQCeQndnpaHYH7F4/\n7J4SuMor4a5qgqu8Cs0V5kYum80Om8t+2hW5vtoF8FTWYezgdkS7DsKsZ0zFJtDxp5dRUteCxlWX\nweWzJpjIZlIYPbIHY0f3TH6TNocBmKukDMGWZahcfCFsNjsw1xuMk7DZ7Cirb0VZfauFWM/EH519\nQL7M7cECpwuvxSawp1CLngPQDAPOVBLO1EyL1MmpGQRQ7nAi4/ZAd3uRcXum/uhuDzIuDyYioxjt\n7IDhciNY3wx/eRC5bBa5bBbDLhuyuSyyWR0Ohws1dU1oWLAYTtfZ9Q1CLpeDruvI6mnouo5cLoey\nsjLe7JxGEvEoOg/uQlfHHuiZDNIKO2M6Ecdw6DiGQ8dxdPe7KKusQVPbKjS2LoF9Hr/dOdOYnDY/\njNxoH7KjfchFw9AtTN8DAPjKobWun/xG+iPm+p2qZrPDFaiBK1CDWp8LOT2D8KEPMHZsj+mgKpOM\nI5M8IQGZyzO3QG0TKpsWo7SyFr7SALx5DGjmSllFFS674Qs4uv8DHNnznulbsZPJ6mmMj/QXPB51\n9c249FPXorQsUPg2yTDw/7N379F1lXX++N/77L3PPfe2Sdu0TWkDvTehpQVGBaYURMfKyIiiM3aA\nUZd88TazVHQcl+OMQ3GWusaFzKhflxZv4AxrKPpDfuggHVEoloZbW6DQpG0uTZqcnPv9nOf7x0kO\nuezPk+aQnhZ4v9bKarN39uXs/ezLc/az348rk4aZiMGKx2Am4jATMeBUCHYyjsSCRRjqvGRul0lV\nN2NEfTqdhtfrnXHYm4n9V99yHqE7ETrc+M9IiKLXfgUlhXHYmv1lOJ88li+W04a6B4R3r8K693iE\n7SNtN7/c07inxrmZy6ZlchRofySNYi6LfPgkitk0XB4/XN4AwnkbMG3HC9lWYX4nE3JlolaIHu6P\nyNGudX7nJ0TNwnAAcE856SdDgzj5zGOA8NTPdhlwmRYWrupE88r1k15gbvE7l5uj0TSKxQJGjh7C\n4EtdKEyokJwQ4mgNbxDuBctgL1gGM9g4abv6hSj8jgVyxVD6tvK/npcvqkuanKNqVzUFsKT/KD7x\ng3+eNk6KK34hncYjqTjiUy70ttAsBZDXuag92zqP1N1gmQagTGssSMSHorfUHNJXVwPl9UH5fFA+\nP5TPBzMQwIoV52P92nU4b/l5sKY0UTVQRDg8itBoCJlMttRZqlFafsDvHvvdQG1NLRobG+Hz+RDV\nxJNbwvZMOUS3FwoF9PX34tjxHvT0dCMUCiFfyJf7lfNMaJ7k8XhxYUcH3nLpW3DoeFxc/n8K8eR/\nOCm/UC91LbBCE30sNT/WHbstQixzSBNrn8o7PzXQTRO0nY+3GmF4yiEeXimFbCwMf3IYsVP9iJw8\nNqm/P1NTPqVo7pTLRlPbKsxbvhpu3+RuI6Z2u6CUQj6Tgj8bRyoeRjoRg2W7Eaifh2DjfNhu77R4\n9HHdMfmcK63b1IjpiaRuB1LCE53moBvR7oMIv/wMirnJx0pUmFdCiFqHaaG4aB2MlvZpTbAX1svX\nd0s4T02888tHR5B44QkUxoI/6oUuYHRdCwTq56Fl7RYE5y+eNLw1IH/xI3VZEhe6Kah1KLfJyAi6\nn3oURtw5ajxgyc3Vo8Lydd0ULG2owbLl52NF+xo0zW8pn599trBtlMI8lJq0m4k4XPEYzHgMZiKG\nmkIarlgURiwGVzxW+n+89H9EokB++rllfHnpP7kMkc9+adK4jPB5GjRdT0jTxDXdK0gGhHuCF0Ny\npHuDcL90SBMDHxWOt6WargWkXfqC0I0HAOSF6tEJzXWvf8q4//u+Tly0RL6XnfEriksvvRQHDhyY\ncRjR64HLdsM9f+mkYUZ89k9nzkX+xma0ve3dSPccxOBLXY4dIxcLefQd/CNGjr2EJRsvRe2CVu1N\nfmyoF33PPo5MXB94Yrh9cC88D+4Fy+AKNJ7TCYI1mlQrJ222G39lNeBYPouRQgHxYgHxYhE5FxAv\nFpGa0GTRAOAxXAiaLngMAx7DhUSxiNFCHmeqG0+jkIeZKF3UxzlVgJRh4LjXh+M+HzzBGpy/ZCms\n+nqMGAZGikXEDUB5SxU2TJne7XDz4/V64fPVoLGxEQ31DWhoaMSC+QvQ1NQE09S/p6eUQiwWRc+x\nbhw9ehQ9x3uQzWbEfs8mymTSeHzfE+h65hksWLIOq9dsnFahpNcmExtFcrgfqZGTSI6cRDGXFit0\nlchn0hh88WkMvfQMgvMWwmXZMFyu0ju+pgnD5UKxkEc6HkEmFkEhnxX7e/IG6rC4uQW1jfNR19SM\n+vkLz4nzjyoWMfzsY4j3HnnN83LNXwa7rRMZ15n58tuqbULt5muQ7j2M1NFnZjWt7Q9i/qrNmLdk\n5VnZ7v66Jqy+/Fqkjx3EiRee1nYdUzEDaJy/CMsWteHq85bCm03DGuyHdfQlWMk47FgUvnSi9NQq\nUXpqZY0/wUomYAnN2qUvqgB9n2wA4IpV1vUKnVvEK9fAwAD6+/uRTCZx4MABKKVgGAai0SiSSbmG\nSkRnj8u00LzqQtQtWo6+Z3+P+LBzTHw6HsGR3/8KvtoGzF++BvMuWANrwntF6UQMrzz9Bxx9xTn4\no8yy4V26Ft7WVTDGOq8+zdfEzpoXVqzDv/yfr6EmHkFtPIzaeAQ18TBWFFMIRMPwx0bhj4Xhj0dg\njD26sg0DK20PVk74wj0wdlOaUwppVYTbMOBG6WnR1G/Z80phtFDAYC6HkUIBw4U8QoU8wsUCcjNs\nLxeA+aaFhZYNBYUj2QySFWxkQykglQRSSWRDI3j+eM+k8RNvsZXXC4w9QYPPBwSDgN8H+Pylf/1+\npHM5RKJxnBycXMZcLhNNTU1oaW5G84Jm1NfXIxFPIBwJY3Q0hKHhECKRMLKv8WYpnU7hicf34uDz\nXdh80Z9gxcpV58TN9+tZPp3A4HOPIzEhPfa0GEDDwjbUNbciGRlBYvQUkuGRGSdTSiF2anLridnu\nwnQigpPH4zh5/GUAQG3jAmy4dDv8QmuJalCFPKLP7YU7WkETOMMFWDYM0w0jWA+zpR1m/ViYUe5M\nfZVTSvf1LV0L9/yl8PU9jdRQr/bvLY8PjSvXo6FtNVymdVaPPZfLxLI1m9B6/gbEwyNIhEcQDw8j\nEQkB8TAKE58oqSLsQgG1thvzbBu1LhM1RQUrHYeZTsGVTsKTScKVTsHKpNBSKGKtYaApm4ahFPzC\nkzVtyPIZ6CvNFWcl7I1ArIQ9/PDD+OEPf4i+vj783d/9XXl4TU0N/uVf/qUqK0dElfHWNuC8P3kn\nwn2vYOD5fZPa9U+Uio7i+DO/R/jF/Whe1o6F561GeKgfPQf3o6hpQmu4XPAsWQ3vsnVwneX34mar\naFoYrZ+H0Snx/WundHJtFArwJmMY6j+JmnikXGmriUdQEwvjvEISvugofNEwahyajUxkGQbmWxYa\npjQjUkohXiwiVCxgtJDHaKGAaLEAt2GgxbLRYllYYNmTmjduVwq9+RxezGbwSi6DxAzvQ1TCSKeB\ndBrGeAsf4SbCdpmA319u9oixf0d8PoT8fhwcr7RN6LQ8V5jb9Y3FovjtI7/Cc88+hS1b34pFi5ey\nMjZLSilEel/GiWf+gOJp9rsIlAJiFrRdgJaV6+Gtmdx0u1jIw0pGEBsZxGDPi4ifRqVsLkRDQ9j/\nyB5s3vZuANUPrCnmMog8/VvkI0Nwu+Wnh6a/Du6mxbCbFsL01cAwbRiWG4X4mU3XnYnpq8HCi65C\nPpNENhYuNUN2uQDDhRq3BYylCNr+mrN6nJn5HLypBHzJOLypOFqKGXiTcXiScXhSCXiScXiTcdRl\nkkhHQ0jGovCnEpiXzyFguGAYBrJC+3BNS/Nzhis6+7AxOveIlbCdO3di586duO+++3DddddVc52I\naA4YhoGG1pWobV6KwRcOINJzCEpoFlEs5DFw9DAGjh6eaaZoXNKO5lWbEAtV8J7j64gyTaRq6jHQ\n4oHT88SLxt9jUwp2Kgl/rFQh80VHsbKQhDsyCndkFPbYv+5ICIhPft/EMAzUmCZqTBNLhcj5qU30\nXIaBpbYbS2033uGqQW8+h/5cDgWUTuimYcBvm7BgwGUAx7JZHEqnkToTjyjzeSAahRGNTnvjc9Jq\nGy4of6mSZnjG31XzTa68eUtP2DDxXUfDgGVZ8Ho9sCwLqVQKBeHLgeHhITz4/92HhYtasWnzpTgb\nN+CvR7l0AgPP/B6xweMo6l9aLLPcXsw/bw3mn7cWAb/zu8su00JtUzNqm5qxqH09YiOD6H/5eZw6\n8cpcrr6jdDKO/Y88gAVb3g5PoLIgokoUMklEDvwGhYRz821/81L4FiyBb94iDOWkdwbPbiVsnOXx\nw/JM3rdeTaWyIkrBymXhS8VLFaqxShUScfiScfjSCfgn/FuTTcKXSsCbjMOe8iTdkr4omlpRPM0u\nTc51Bp+EvSHM2JB+//792LZtG+rrS99yjY6O4utf/zr++Z+nv9hOROce03Zj0fqLsei8C3D8mT+I\nTRRnEmhqweINl8JXNxbYEpq5Y+w3BcNAzh9AxB9ApLkVAOBvdE7VHAnH4ImG4YmMwhsdnfR/KxyC\nNzo2PBaFcRoZ0IZhYIntxpIpffl4J7y/s9brw9U1tTiazeL5dAovZTLIChWyWtNEk2mhZqw5pVKl\nuBDDVfo3N9asMpTP4/TDpQGoIoxE6ebKJXwst2FghceLFY1NWL54MfzzF8BomgfU1sG7cAFUUxOi\nXi8ePfISnu45BgjNggb6e/HLB36OPrsBS9dtQU3jAse/e7Mbf/p18rnHy5HdEsNloWbBItQ0LURw\n/kIEGuZPCvaZiWEYqJ3Xgtp5LVi+8RIcPPwchrsPi0/op3K5TATqGuGrqYc3UItsOoF46BSSsTCk\nQJt0IoYXfvdLrH7bu+D2Bx3/Zi7lE1FEun6NYtoh2MMw0LT2YtQuW/3qME1Q0+uOUvBkUvCn4qWK\nVCoBfyoBXzqBxYU0vKnS0ynf2FMqbyoBbzIGOxGH5fClSkE4P+lCYN5sjHQKyOUA9hf5ujZjOmJH\nRweefvrpScM6OzvR1dV1RlfsXGa996uOww23nKAlJRCqgnzxM1zSwaXbZcJJKtgoT2IJ3xhLwwFg\n1Lm9uErJoQeGx/nGVHyJSHeR9zpfVO1aOdEx5xALDgDzG+RvSt3Cy+BxKcEKgCl8I9cYlFOiEhnn\nW9omzTTvW+nc586IkLp1LJaGUgrR/m6Eug8iGRosj/MILwh7XC7YXh+Wrb8Y85a2T2p+MpR2/sY2\noklre1lIPGqtlZs01gnpSS9oUswiQrJTWvNOhU/4lnfFPOdv+pfXyOt82ULn91FejMhJTAsmJLwZ\nhQK88Qi80VFsNLOww6Gxn1HYkRCsyCjs8ChqkpHS06gp3FJSF0oVqZfSaQzm87ANA02miSbLQoNp\nTf/WeEx+ShPColKIFosYymRLlbJCAUP5PIby+XLfalLIxvjxYRnAPMvCCrcH7V4PWm23+G12esrx\nMZjP4X9yOezPFpAb63ct5/Yh5/Eg6/Yi5/GVo/zrlrWjbd0WBBtKzU/TmuaQUjOk50LOZU0phdDw\nEJIne5CLh2EH6uBrXgZPwwJs0SR+SuvwoiapKyJEwduaaOzOeYHyemaTcaSiISSjo1DxMBKRESQj\noUl/n5ywXrbHj/nnrUFw/iL4G+bjVNr5HLWxSTivQ07TezaUgCoWkAqPoJBNlTopHuuDqtZylbrA\nMAx4/DXwBOvg9gfR7JAomc9lER8dRj42guMvPI3slEpdLFeAN1hXqoj5Jq+nU9IeAPx+UL6Gje83\nVSwiFw8jFw0hGx1G+NQQCrFQab0nyBUUYLjgX/0nsBcsmzROSlSUhgPy9WhejXydkK5HTsPNQgGB\nTBIqEoU/m0ZNJolgJoGaTBI1mSRakEEwnUAgnUQwnSj/P5BJwBKaRRc0T1eldVPCPc7UROCJpMTP\nSqptKc05Qvo4uiaMUuVRuraNz09ZNgo1NSgGa1EI1qAYCMJuaoCqqUExWIPku98LeF69T0sISa0u\nzTtpSeFe5vylzol+I5prmLScx1+RmyIfFRJMf9PrnHYJACPCOm+eL3/ZsijgfD+r229PDjk/bZTu\nfQDg2PDkc9B/3bgFly6X70tn/CqrWCxOiqRPpVLIZt8YaXJEbzaGYaBu8XmoW3we0tEQRnteQLj3\nCKCcLvwGFravR+vqTZNCO+jMU6aJVF0jUnWNiGpu5ttbgjBiUbhGQ3CFRko/4VG4s3FgeBgYGQFG\nhkv/T5UuDrZhYK3Ph7VTlzmL1oouw0C9aSLg9mD5lHHxYqlCNlIsYiifQ7xYRNDlQr1pocE0Md9j\no9E0EXC5Kn6npNmy8QHLxqpcAv8bDWPIqe+/sX+LLhfybi9MfxDnNc7HwsZmIFiLjDeArNePjNeH\njC+AjNePvM+PjNePjM+PrDeAjNeHojX5yzClFDLhYcQGuhEf6EFyQrOgFHoR7T4I0+PD0QtWoWnx\nctTOW1iVjtyVUihm08gnY8gno8gno3jlaBbpeBTpeLjcsTygj+AGgIbWlViy4VJYnolfNMzq2eeM\nDJcJv8NTykbNjelUlu1G/YJFCCxegnkLl+KpR/YgN6Vz83Q8ghf+95dYddm74PZK3b7oqWIR2cgw\nooO9SA/3IRsNARMqXHkh5tswLfjXXQarYWFFy539iip48lkEM0n4MykEM0nU5lJj/08gkEkhkEki\nmE4ikEsjmEkiMP636QQ8Y038pGQ+6UsSALNPVHkTybvdSPtrSucZfxBpfxAZXwArljSjEAiiEKwp\n/QSCKARK//c2NkC5PdO2a70mbp5ef2Y8233wgx/Etm3bcNNNN0EphR/84Af40Ic+VI11I6IzyFvb\niIUbLkXzmouQHzqG4e7DSIZLfSsF5y3Ekg2Xonkem3Kd0wwDqrYOhdo6FJa9Wh2qd/pGMJkEQiNT\nKmdj/46MDxsBwq+tmWnQZSLoNnG+8BTErrSTWgdLbTc+aNl4KZfB46kkQsXpN8OuYhHudBKxdBLP\nhIbwHA7iPNuDNW4P2mz3pCd2TreReduNEdODIdPCM/kcXs5lEAFQY1nImzbSLgs5yy79mDbyloVc\nykboUBxDLz0Dly+AxkVtqGlcgED9fPjrGlDKvHxtVLGAbGQEqfAQMqGTyEROQU15T2ZE6P9PwLnC\nSwAAIABJREFUYnv8WNLxFtQvanvN61dtgbpGXHjFDhx4ZA9y2cnfrqfi4VJF7G1/dtoVsXw6idSp\nXqRO9SE90l/qY/I035kDAJftRWDt5TBr5G/BHacrFhDIZRDMplCbTSKYTZX/X59Pl38PZlOoGRvf\nVMyUKlbZJMwpx4BcNWKlabayHh8SXj9SviBSvsDYTxBpXwAqWIOUP4iUv/R72hdA2h9E2htAMOBc\n5oLL5RZKnjPQyTWde2bcy5/73OewYcMG/OY3v4FhGPjSl76Eq6++uhrrRkRV4LJszGtbhXltq5BN\nJaCKxaq+zE5V4veXflqXOI5W4zeYuRwQCr1aURsZRrr3JFyhEIzQCFyjI6V/w6PALJL0zhTDMHCB\n24t224MXsxk8nk4grEmMLAA4ksvgSC4Dv2FglduLNW4v5gt9jUXSSexLDOHFXAYKgH/sZ5x0X+4e\na+eiDBfylo2CZSNv2YjabgT8QdTU1MNX04CkZSNmGIgDQCqHhCr1PZe33VD+OqhADUxfEBnTA5fH\nCxSLyIwOIjs6BFXIz9l7MvOWrkT96ounPP16fQnWN6Hzih048Ns9yGcnd5qaio3i2YfuQXP7eixs\n3wDY02+Mi4UCEv1HET12GJnRoYrXw3b7sGj1pfAU8ggOHkUwk0IgW3oyFcwkEcim4EmWmvlNqlRl\nkvBmUzCEMiXtaqlDZnKW8weQ8dcg6w8g6w+WfgI1Y/8P4BXlLlekJlaqiqaFpNCR9Fz2o0dvHqdV\n1b7mmmtwzTXXnOl1IaKzbOp7E/QmZNtAc3PpZ0za6V2lYhGnegZghkuhIuZoqPRvOARrNAR/MlJu\nJmlkMtOnn2Muw8Bqjxfnuz04lE1jXyqJmJAGOi6pFA5kUjiQSWG+aWKN24tVbi8CLheG8nnsSyfw\nci6L3GvoBsBQRdi5DOzcq9tAjQwiAWD8TTMTQB2AgEMzMAUDectGxmUhZ1nImaWnbnnTQtayUbDc\nyI09lZs4PmfasGygYFlQwjvJAOCva8TStRehafFy8X3S15OahnnovPxd6PrtL4Dc5PczCoUc+l84\ngMFXnsfK1Z1Y1L4elu1GNp3CyaOH0P/KQZwaHi2l9hXysAo5uPM52PkcrHwOZi4Lq5AvDxv/cWWz\ncBdyCBbyWOUycallw//sb8UKOgAxiXIWD9ve1IqGgaQ3gKQvgKQ3gKZ5jcgEgsj6xitVQWR8Qaia\n2nLlKhuoQc7rhxrrTF6KRDgcZl+4VB0zVsIef/xxfOITn8Dhw4eRyWRQKBQQDAYRjcovrxIR0Ruc\ny4VCXQMKdQ3ILjtv2ujGurF3F5SCkUrCFQrBNTqCeYVkqRlkaATGyJTmkLHXfl0xDQPrPT6scXtx\nMJvGs5kUThVmfp/pVKGAvakEfpdKoMk0T2saoNSwcLFlY7FlYyCfR28+O6dvTxlQsPNZmCoLONRl\ndc9A7LF3eAqmBcPtRq0viKA/iPqaegRqG+Cra4ShgNzLzyPT141Tphdpnx8Zjw9prx9pb+kduYL1\n+kpgq21cgM63vgN/+NV/wkgnYOZzsHI5WPls+f/5F7swXFRY4nbj1Ogw/LksLshlsSKTgZXPweUQ\nDjHxnt1ruDDfNDHftNBkuDDPtFBr2eyjbpYKLhMJXwAJ7/iPHzGPH/EJv4//319fh4QviKQvgIzb\nCzXhXcsrFtU7zl8KhyE6F8xYCbv11ltxzz334Prrr8f+/ftx991348UXX6zGuhER0eudYUD5Ayj4\nAyi0LgHmvfq+2tTbXCOXLVXGQmPvp429vxZ/5QTM0RBcY0/ZXJEwjBmeTlmGgY0eHzZ6fBjK53Eo\nm8bhbBrJGRJIisCMFTADQKtlY6XtQZvphm/8ZtADZFQRPbkselUOPbkcCqfR1cBcsQwDtYYLdaaJ\nOpeJZttCvctEvctEjcsFQykgEYOZjAOD0xNupXee8raNiO1D2uNDyutHavxfrx9NjfVjASf+UvCA\nz4+cpxR2ogKlAIKC7Z59cMNYH1LedKlvqJZiFp50otQR79iPO5WEJ51AMJOEO5WEe3x4MgE7k8K7\ns1nsiUeQdtjn4+8CRgFMfIMyK5QrGwYWWTaWWjaWWG7UTQiWKZyBDtNfb3KmhYQvgLg3iITXX6pA\n+QIYMb2lipU3gLg3gLgnUP7drKtDxp4ePiE9eV44y3ccic51p9Ucsb29HYVCAaZp4sYbb0RHRwd2\n7dp1ptft3CV8K6hiw/I0XuEdG4cXycvzE758NEzNiUi6wdBEx6u80FRIdyNiCnGwQnS8djkCQxdR\nL3TYmouGHIfrxNNy1wIrW5w/jxSBDgCRuHOEaygSl1dC6EDyVFT+Bvq3fudxaxucmxQuDcqpSuuF\nfq1GNc2TAkIb+FeUHGFbL6xzXnNjXC+8oNys+Twnw86xt5GY3MzEVee8DRJC8tlAUn4f6pAQxV+v\nSX5bUe9cDqWbQgBIC3HWxwfk493vdV6HlzXTnIg6H7sezbsow8L2SaTkMpXNFQC4Ae9CYPFCYHFp\n+E8XDU76O6NQgDcZgxEaQSAWRjAWRmD8Jx5BMBbGvFQUvmgYZj6HhW4bC902LldB9OSyOJRJ4+Vc\nFsUpFSSpGI534eAzXNjs9WG9x4fAWMUrM6XiEoCJRreNjUWFrFLozWcxmM9jqJDHqUIecVWUe+XQ\nVFScxngNA0ttG62WG62WjSbTnBQ0IqUg5oXli2Utk0FtJovaeGTaKF1g3niaXtFlIjP2ZC3t82OT\ny4OU14+0x4e8acGXScKXTsGfTpQqXZkk/KnEpD6kpDhzYPp+y439LLRs/FVtI/6YTuLZTAoTP530\nWSdGqje4TLRZbiyxbLSYFsqtW4tAZsL0RSnSvKhp3mnOvgsaJVSSC5DfR5Lm5tQPoTIMJNxejJpe\nxNx+xG0vIh4/ou4Aom4f7MZ6xLx+xD0BxD1+xLx+xDwBxL1+ZIT7krRw/gQAd1IBmH6urvU5b5vn\nBuVr6IYm52u1Lrb8eaHriVpNKEZROe/TFzVNGE8mnM+FAU1IkXR9zWri8ytpTpwTylRbr3NA01ta\nnZ84AsAxIb5e6uIDKHVX4aQvJt8vHh923ta6SnpW+Jy1mg7IjwvrcOSkXA4zscnbLZfTd74+YyUs\nEAggk8lg48aN+OxnP4uWlhaxHS0REdGZpkwTqZp6xKUvtwAsC3oApeBOJeBOJWCPPSnxZ1NYmEyg\nORZBb18Pjg0cRygSgiufA7Kl5mpmLgszn4eZz8JQQNBwYYvPj/UeL9ya96umchsGzrM9OM+e0JdP\nsYjBfA6DhTwSxSI8hgG/y4WA4ULQNBEwXPC7XCgqhbgqIlEsIqGKiBYKSKgiikqh0bRKlS6X+bpo\nbuUqFuBLxuBLluL8mwq6e4i5vb8IuFy43B/EhV4fnkwncTCTnrGnzfMsN9a7vVhoWpOaF+aq+FSz\nUnmXiZin1KQvYXsRdfsQd/sRd/vG/l/6Pe0PIOEeq2x5SsOStgdFl4nRhPON45ImTV+o5/6mITrn\nzFgJu/vuu1EsFnHnnXfim9/8Jnp7e3HfffdVY92IiIgqZxjl9LNxUystrQDqI6Po634BR18+jEzy\n1W9mvf4gVqxcg8WtSzGSzeL3qSTssQqdnS5V6mLhSKl5XDoFdzoJz9iPKxGHN52EOaVFQcDlwjLb\njWX29G9tJ3VwbRjwwoV5Y1/UFvjl52tS6zJxpb8GF3n82Df2ZGwij2FgrduLVaYbNULLhGpJWh7E\nbB9ibi+iY0+kYm4fopa7VLGyxypUY8ONeQsQd/sQ8/iRMe1JzfumdrQ+Tur4mYiqZ8ZKWFtbGwDA\n5/Phy1/+8hleHSIiouoK1jXggo5L0LJ6M0aH+hALnYK/ph5NC5fCZZrIuC2nTAwAQE/cecxoJv/q\ne02ZFLzpBLypJDyZFPLxWKnZ3diPN5OEN51CXS4FbzoJT7r09550Cnbu7HcD8EZSZ5q4KlCD9bYH\nB7MZJFQRrZaN820PbMNATtPc63QVDQMxtw8xl4mo7S1VlmwvYpanXHmK1zWXKlZuP2JuH+K2D1GP\nHzGXiYJUCRS6hKhvkJuIEdG5S6yErV+/XpzIMAw8++yzZ2SFiIiIzgbDMNDY3IrG5ta5miHybg/i\nbg/iNa/eKIezzu9u1Dq8B2Lm8/BkkshGo2MVthS8mVS5Aje/mHm10pZKlipxmVJFrj6Xgp2W39F8\nM2swLbzFJ38PnbXcSLh9SHj8iHv9SHh8GFLuUvM9t69UcRr7GSq6SpWssSZ/SWssbCI+Ks7fqG9x\nHK4K+ndIiOiNQzwD/eIXv6jmehAREdEUBctC0qpF2KFzYQBY4JXDe9pqvDAKBdiZVOnduHQSdiqJ\ndDQ2ljRYajo53owyFgqXKniZVCkcY6zS55qhv7VzVbYcBhIoBYOMdbqb8frQrdxIevxIev1IegNI\neXxIev14JWch6fEiZ01vLioF/sQT7FeKiGZPrISNN0MkBxnhhBvQNAmQmpToYnuFF8CVJnHJMIRm\nDGISE+TkRM0L6IYhpNDo3lsQ0mkMj/PNhS45ErbXebhHTkJC0fkbxlR4RJzkpJAkl8lrbkrSQnKO\nbl/76hwHNwbltJ+BuHOZavA47+v1jcJ2BrBISBrUJQB6hWS8xQE5tTAmpPmFNKlO0lODU0LiFADk\nhBf/Lbdm3dLOyxkQbryaWuRjqk/YblJqIgC86NQhMoAlmhTIUWGdhzT7TdrXvUKzOkBOyezUJI9J\nqVtP909P2Bv3s5dPOQ6fL6SlZTUBD0Mp5+P9+VE5qctnOZ8/l9cI5xsAK2qdx+0/JSdorRSm6Zyn\nOX8JCprefVOFIgAbCHoBNAAoRfAPCvv6Jad0M6XgyabhSafgSyfGmlYmyz/WpGaVpSd04+OMZAKB\ndBLmlHN5UXOdsCakIBZcJlJeP5KeUgVq/P+p8YqT14+k14dTlhcJT2lcYjxC3+PDUEK+hjge77mx\nd6UKcEwHjgtlSnzi5Xc+r+tYDu8KjrO9zsduVnM9WtHsnPqqO6+cFD6nrqlmSji3DwnJqgCQETpx\nH/U5Hx9NmuuhlGL7zIh8vDuWd+gTCAeFbfNcn5wu6xMS+KRkQEDuLmJRQFM+XM73bKm8fByEhf3W\nHXO+7u0dkM/fp9LO20baNwDQIZzzYpry2bHAOZDpnUsbxWleENIrf3zopDhN/6jzNshHnK9TAICp\nX1jN1JWKdixe7az50KFDyGaz7KyZiIjozcIwkPH4kPH4EK2bfpMjRT8DwIl4BlAKdiEHfzoFfzYF\nfzoJKxGHP5OCL5uCXcgj5fYi7g0g6fHBXV839oQqgOyE/sWkuH1A/qIGc9ptNhHR3GJnzURERHRm\nGAZylhuRoBsRlJ4M6fqOmscOeYnoTeK0Mkqndtb80EMPnen1IiIiIiIiekNiZ81ERERERERVNOOT\nsImdNfv9fnbWTERERERE9Bqws2YiIiIiIqIqEith999/P3p7e3HrrbcCALZs2YJTp07BMAzccccd\neO9731u1lTznCNHthim/UKykeHZLjrlWeSEOV5MSJUbRZ+UOOw2vc9ynkqLrNSqaJi9E2Gpi9Q1p\nOQ59u5TlnONGxYh+AKeOCRGyHufYX+06aCL3XcI+HRqVY66HBp336Qv9tY7DR89vEuclxYnHNS/Q\nRzXjJHtfce4OIJWWY4w9Hueo2kxa2J8AAKHJtOYYlUhx988OxMRpaoSuDZbVy1Hnr0Sd9+fzmhhj\nKfr3gnqfOI0UfayLZR4WooePR+V9sFCIUn5ySN5uLwhx0kNCWENIE8UfErpwkKK0AaC5znn/6KK5\nvabz9SBoyw1NVtQ67x9L041FSlgH3fa874Uhx+ELhXK4tEaOhZai8PdrorkDHudobt0bDT1p5yjp\n0YTcibH0ioSh2Z61QkfNF8yXz+220C3HoHuR43BpOwNAz5Dzdsvn5O468qZwyybdKwBoWObcdc7q\nBrnLks3znffbYyflePLnI87n8IaAfB0/GXfeBsms83klV3C+tgHAPuE40B2HfTHndR6OyecV6TiI\nSd0XQC6fjxwNidMsqHU+Fp/TdH2Rl7pmEcotAHgdOogHAL8wPCJcCwD53CpdQwHgRaFbkCFNlynS\nLfBX9x8Tpzkx4nx9TY5q4ualeHnpXtLJDK9viaXza1/7Gnbs2FH+PZvNYv/+/Xj00Ufx7//+76e/\nAkRERERERFQmPgnLZrNYunRp+fe3vOUtaGpqQlNTExIJ+ZtZIiIiIiIikolPwkZHJ/cAf+edd5b/\nf+qU5vEdERERERERicRK2NatW/Hd73532vD/+I//wNatW8/oShEREREREb1Ric0Rv/nNb+Laa6/F\nT3/6U1x44YUAgAMHDiCdTuP++++v2goSERERERG9kYiVsObmZvzhD3/AI488goMHD8IwDPzZn/0Z\n/vRP/7Sa6/e6ogpyog6Uc8qKEoYDAEzn1BjDcB5eGik93JQTwVReSHopyilNKuucYCV9TgDyurmE\nzyN8/rEFOQ/WpECiIKX6aNJrpM+T1+xrKQVRs22KKWHb6JJ1XM6Hr8/tvN1OJuR17hp2Tlzq00wz\nLCRLmZr0TjEFMScnIWWk5C9N2mRFhHKYERII3ZacuhVLOx87x8KzSFU6DVKi4pAmwWrzvKDj8GeE\nZEIAyAvlsK1GTn/LCIlYF9TLqWy/tkYdh7885Fw+V7U4J7sCwEoh/W04I28bF5zLrk9I8AKAtJBa\nmNUkgh0Xkr+iWfmcawpJfz4hnREAOhY5b594znmdjwvHNABEhfS3obBcblxSmp9GUdiePo88L/G8\nUpC3p9uqcxxuac5fVyxrdBw+IhxvXQNycuTyZuekPymtrjTOeV+nhf0JAJGM8zbQFE/xePdrjoO4\ncM6TEiUBAG7h/CGc83MZuXxK5wgp8RQAek4538dk0pr7COEcId9fAPGc836Tcw6BkaiQKikl9gGA\ncI4wNEnT0vVaGp7Ny8tXGeG+UJMCLqXYZjT7+tiwc1puLqu5L5PuDXX3jNI9m+a84jAT7VjtGdIw\nDGzbtg3btm2bxQKJiIiIiIhIIn+FRkRERERERHOOlTAiIiIiIqIqYiWMiIiIiIioilgJIyIiIiIi\nqqKqV8I+8YlPoL29HRs3bkRXV1d5+E033YTm5masX7++oukfeughrFq1Cu3t7bjjjjvKw0OhELZv\n347zzz8fV111FcLhcHnc7bffjvb2dqxatQoPP/xwefgvfvELbNy4ER/+8Ifn4iMTERERERGVzT4/\n9jV48MEH8fLLL+PIkSPYt28fPvaxj+GJJ54AANx44434+Mc/jg996EOznr5QKODWW2/Fb37zGyxe\nvBgXXXQRduzYgdWrV2PXrl3Yvn07PvvZz+KOO+7Arl27sGvXLhw6dAj33nsvDh06hL6+Plx55ZU4\ncuQIDMPAT37yE3R1deHLX/4yDh48iLVr157eB8xp4jGF6FBdbLnhEmI9pUj30kTOi9FFx6fliGFR\nTojaFiPyAUBYB8P5cxpCBDsAObpdE3WOohwhK08jxKDnNcuphLQc3b4ONDgOlmKMh2Ny+YylnCNX\nTwxrykZ0yHm4Jo4WpnO0LHTdO0jdAVRwHIjHIQBYzuOSWed9Y2jmlc45b89RTeS/X+hawKOJrO6O\nOB+H8wPCdgawX+iO4FhMjs/fNN851t6jifPuEeb3lLB8QI4/bgw6f56FfvlzbmwKOA4/JUStA0B/\n0nn/eDUx8AmhCwMpuh6QuxZo1MSw17qdx7k163bRfOeI+qdOOe+Do5rj/eSoEOWccO5WABDP+BBj\nvgEx6juliQCHLcSQC+dIAFja5HMc7nbJ23PrAuftuaLeeV7/oeuuQyjry2vlSPXf9Ucch0vdBwBy\nfP0PTsn7Oifk1+viyfNCebc05dPncT5+U9L1XRMnHhp2viaHhsVJ5OuOrgua2Xa1A8j3C7oyLUTR\nKyV3zWII11dlyefJvHDvkRej1TXHrnifK8e0ZyqIgc9K+0fTrZHctZO8bkrTTZOoOGV+ui4FUOUn\nYQ888AB27twJANi6dSvC4TBOnjwJAHjrW9+Khgb5hKmb/sknn8TKlSvR1tYG27bx/ve/H3v27Jk2\nzc6dO8sdTe/Zswc33HADbNtGW1sbVq5ciX379gEAisUiMpkMkskk3G658BIREREREc1WVZ+E9fX1\nYcmSJeXfW1tb0dfXh5aWltc0fX9//7Th4xWqwcFBNDc3Ayh1QD04OAgA6O/vx8UXXzxtXgDwkY98\nBG9961uxbds2tLe3T1uPL11/meP67T10HHsPHjutz0JERERERK9fl61egsvWLC39MuWpX13Ao522\nqpUwAFBTVlDXpOd0ppf+xmm+hmFolzc+7sorr8T+/fvFv/vKz/cKM2DOCRERERHRm8Hewyew9/CJ\n0i9TmiOWK2eCM15ruOuuu9DZ2YnOzk4sXLgQJ06cKI/r7e3F4sWLT3teixcvnjZ9a2ur4/Dx+TY3\nN5ebPA4MDGDBggXivGazLkRERERERJU445WwW265BV1dXejq6sK1116Lu+++GwDwxBNPoL6+vtxU\n8HTs2LHDcfrNmzfjyJEj6OnpQTabxb333osdO3aUp9m9ezcAYPfu3bj22mvLw++55x5ks1l0d3fj\nyJEj2LJly1x+dCIiIiIiommq2hzxHe94Bx588EGsXLkSgUAAP/jBD8rjbrjhBuzduxcjIyNYsmQJ\nvvKVr+DGG2/Ed77zHQDARz/6UXF6y7Jw55134uqrr0ahUMDNN9+M1atXAwBuu+02XH/99fj+97+P\ntrY2/PznPwcArFmzBtdffz3WrFkDy7Jw1113nX7TSCkFR9dUUho3NUll0nKkaeR0HDFtsaCZZpZN\nQgEAUnKjLoVRIiQEKc3nNDzOyWcwNcl8UnNRTXrTrOcFAFKijm6/SSlJunSedMxxcEjaB6fRlHca\nTRqVmCqU1yU+CdtAlxIljdPtA7FMz/4YLQopTbHc3KYzxoRzgS6RLJlxXreBsJx02F8z+7Ch/z8R\nchz+R006oeT5vqg4rtbnfEmS0tpejsjlMyikSmY1qYWSY3F5e44kncun7rTqEkYGhYRMAKgVxuU1\n15CsMO64kHQ4FNWkvmaEND0pKbdS0nlKd44QUuEuXDFfnEQqH0OapEGp7MzzO193WjTHx74h5/N3\nk1e+hqWFJM6IUAYBIB46JcxMTimF1zkFUnt9Fa47eU1qoDhOuoboykAl1zcpCVO6vwDkpMOc5lop\nXfd09wRCCqGc8gf5/kt3jM76WqXZzuK5aPbXXV0KpPg5NddKZQjz092zSuNs+T0vwz3lGNGkrQJn\n4Z2wO++803H4z372M8fhH/3oR09r+muuuQbXXHPNtOGNjY34zW9+4zjNF77wBXzhC1/QrS4RERER\nEdGcYpIEERERERFRFbESRkREREREVEWshBEREREREVURK2FERERERERVxEoYERERERFRFVU9HfEN\nwSVsNl2cuBRFqonHVGLUuCZSU4oI1a2bGFFaQQS4qiC6XYxnlyNKle0c/WsoOTpU3G+aCF2ZLqa1\nkjhaaZwm51oJEcM5IUI3n5VnVXAeZ+giiaXtqds2QtQ4hBh4AFCa9Z4to5JuJCrpwkHabkKUNiBH\n4afymvIp7WtNJHE45J31NK7aeY7DBz1ypHksIkfRS5JJ4bMKn1OpJnFePsv5XCRFvQNAje1cpvsi\n8rbpHhh1HG5Y8rnIJ6yDNBwAvLbz50lk5PNKKus8LpMWPo8uyjqTdB6uO69U0GWKYQnHju56JJAi\n3QHgT5prHYc/PiSX218ed+6q4feDztN0x+TtORxzLtM/PxERp8lFhp1HSN0HAPK5VRedLe1TXfmQ\nru9SdzYAYM7yGlKsIE5cd931Bp2He/zyNMK2UbptI66bfD0SjwPxuitfx5GV182QPqt0DdPef+ru\ncYTZVdKtUiXd8CjhPrOCbpUMt08eOfW8P8N5i0/CiIiIiIiIqoiVMCIiIiIioipiJYyIiIiIiKiK\nWAkjIiIiIiKqIlbCiIiIiIiIqojpiHNJk1ojjjPlNCxDSFUR02QAfQqipJJ0QDFRsYLliGmCurRJ\nIQVHl6RnSok6mvQmaR10+0BIe1RSkh0gb0+XvEENKbVPTK6cfbKUkpIrARjCftOWT2mcLkFIc4xU\nh7A9deliFRzvyAvbOpuSp5H2j+44EJO65P1WTDknccZymmMnL5V3TYJVXtjWwnEYCsfEWXUJqYHz\nauSEynk1zomGwzHN9hRSA5VmeyaVc0JlMi0fb6KiZhopYUxKUdOklIo0CapiGqlLc46whP2jW7e8\nc/pbX0g+dh4XkijTOXndHulxTicsZoTlRIfEeYmfU5e8Jp0jdOdc4TylxOMTMKRrtS59TkxhrOR+\nRViObvliiq0uYVhK5tOlSTvPT5eGKt3jKKOC462CND/dMSqS7st0acHiPV4F9wQ64v2Cbl5zlwKu\nNPemxtSUzBk+H5+EERERERERVRErYURERERERFXEShgREREREVEVsRJGRERERERURayEERERERER\nVRErYURERERERFXEiPq5pIsTF+PrNXGfuihQiRgJrInG1kV0issRYjd1kfvCNhDjPguadZYi1TMJ\neflS9K85+9hdNTWGdCIp2lUT9y7uH81+U8J+E6PrtbH6wjoreZ2V9DkriZzVxPsatjSuguOjkmNK\niqJ3aWJ/K9ifKAox1xnnePjSNEL0sbZrASlKWrNuaSEKXnfu0MVJyxM5D5bKmqbbh0zMeV59qfni\nNOlcrePwWNw5hr60DtK5oILPrzuv6Lq4kIjnAmnddOsszEsXzS2dC3TnCOk8bWui25Nhx8GRgRPi\nJPvDdY7DDY9fnEa8viRGpSnkecVHnJfvlpcvxdprj3dd1zkSKVJcOg4BKKlbDM19UUX3HtKspBh2\n3eeXPqfUFQAgH1O2c7cTpfk5H7tGJddKzXlV7NZIdyslrIO41wzNzCrp2kDqbkinknK9qAyfAAAc\nEElEQVRTwaVfXI5mnVVhynVcc8wAfBJGRERERERUVayEERERERERVRErYURERERERFXEShgRERER\nEVEVsRJGRERERERURUxHrISQdKNLbFGGkLajS+6RUoV0aTJSOo0uTUZajjaBRkrBkdN+lJQ4JC3f\n0qTPiWl+muULqXC60BwpOUi7bQxhGl36nESXqCitg5BeJKZQVqqShCIpKUiXuiWtt2b5UkqUlHZZ\nWgdpv0nbWVcGpHGa0lYU9rVmneVkUU0ik5hupVs34ZynS70Sy6dmOdL8xONQd/QK47Jy0uFIRNg2\nmtRVSPugqDl/SZ9Hd4wWhPS5SraBqIJ0RG3ip7RtNOVT+JjaaaTzpC59Tkj8VDkhpRQQ0ytVVigf\nmmu14Q0KI3TXauf7BUOTWFfJ+VPab+I1HNDsA10y8yyPd931XVqE7hjQXV/FaaRzrlRwIafYaj6P\neA3TJW5Wcj2Y7VIquZfUqeQ+V/qcuutRJUmUEu02mN19Hp+EERERERERVRErYURERERERFXEShgR\nEREREVEVsRJGRERERERURayEERERERERVRErYURERERERFXEiPpKVBJrKsY1a+YlxdfrIomlaXTR\nocK66WJvpdhuJcX3A3K0v+VxXr4tF08x2lWXQirEtCptnLew33TbU0nTyJOIZaqCiHplCvtNF/la\nCakc6hZTQfQwxK4NNOXDJZWPOd4Gkkr2pylEmkvDgcqinIvO+83QnFeUFL+c08QyC+ttaLqeEI9r\nYbih7eJDOA6ymghyKQY9r4ufrqBMS8vRdUcgnD/15+kKusWQSOVDd0wJn0csTwAMcdtojh0pAlwX\nqa67VkmyzhH1UnS97thVFcWjC9P4asRJpGNE12WJygnbZq67CZCur5VEkM92GQAgbQLd55Ti+yvZ\nnxVE7mtJ9zJzuW6V7APLLY+zne//oDTrLK2DrouPuZxG93mmHfP62H4+CSMiIiIiIqoiVsKIiIiI\niIiqiJUwIiIiIiKiKmIljIiIiIiIqIpYCSMiIiIiIqoipiNWQpe2M1uVpHtp0sXkpCw50UZKJFNK\nl4QkpfBUkDQopflptrOY+OTSJPcIy9ElrIkJUrrULV0a1GxVUtakddPNq5Ll6BKkJFJamC7FTdo/\n2kTFCvaBlIRUyf6cy2m0CZn65KXZLb+S5DHN8is4rsVtICTwKTHeTJ6XIaUZAnI6oaasS+dJQxOo\nWFEKo7RtdOmIlWWsOZOSDqUkPUC8VhkuTeJnJWVaSvjVXCsrocSUYykpVlPWbCFhLZ2QpxGWY+gS\nVC2v8/BMTJ5mlssHIJ/DK0kJlZaj+5xSWrDmWm2Il37NcSOmd1ZwPdSREn4rUck5txKVJCpWkphc\nSdqjRHcPLtGUw2nnnBnOZ3wSRkREREREVEWshBEREREREVURK2FERERERERVxEoYERERERFRFVW9\nEvaJT3wC7e3t2LhxI7q6ugAAJ06cwBVXXIG1a9di3bp1+Na3vjWr6QHgoYcewqpVq9De3o477rij\nPDwUCmH79u04//zzcdVVVyEcDpfH3X777Whvb8eqVavw8MMPl4f/4he/wMaNG/HhD394Lj86ERER\nERFRdSthDz74IF5++WUcOXIE3/3ud/Gxj30MAGDbNr75zW/i4MGDeOKJJ/Dtb38bhw8fPu3pC4UC\nbr31Vjz00EM4dOgQfvazn5Wn37VrF7Zv346XXnoJ27Ztw65duwAAhw4dwr333otDhw7hoYcewi23\n3AI1luDyk5/8BF1dXVi4cCEOHjxYjU1DRERERERvElWNqH/ggQewc+dOAMDWrVsRDocxODiIlpYW\ntLS0AACCwSBWr16N/v5+rF69esbpT548ie7ubqxcuRJtbW0AgPe///3Ys2cPVq9ejQceeAB79+4F\nAOzcuROXX345du3ahT179uCGG26Abdtoa2vDypUrsW/fPlx88cUoFovIZDJIJpNwux1iZCuJ0JUi\nOnXzEuN9K4i118WJi9HYmmmk6PYKGFJ8qksXqzrLuHtoYnx1caM5IRq7mBankWem2dfiNtDMT4zz\nFv7e1MxM2m66qHcxMluzHKl8aqcRtptu3eYywlY6dnTHVCWfU4xr1nxOsdzoYssrIC5HPheJx7Wu\n6wkpZloJ+7OCrggqCm2vIL5fuTRlsCBE0VcUF13BJ6rk82SSziPSUXkiX50wvFazoDnsKqGSaG7d\n8is5riXJiPNwt1+eRrgnUHm5mwCxS4ZKypr2PC0ML1RwnraE+H5dRL14PZTvVZQ0yqW5vxG6y9De\nE1VwLpzTyHvdvccc9mJREXF7VnD/WUk3PLprpTSNruuLqdOcSxH1fX19WLJkSfn31tZW9Pb2Tvqb\nnp4edHV1YevWrac1fV9fH/r7+x2HA8Dg4CCam5sBAM3NzRgcHAQA9Pf3o7W11XGaj3zkI3jrW98K\n0zTR3t7+Wj82ERERERFRWdU7a1ZTvmUyJtQS4/E4/uIv/gL/9m//hmAweFrTS39jONQ+DcNwHD51\nXa688krs379f/Lsvve9yx+F7n+/B3oM9M64fERERERG9vl22egkuW7O09MuUJ2t1fo922jNeCbvr\nrrvwve99DwBw0UUX4cSJE+Vxvb29WLx4MQAgl8vhuuuuw1/+5V/i2muvdZzX4sWLp03f2tqKXC4n\nzre5uRknT55ES0sLBgYGsGDBAnFe49PM5Cv3Pnpaf0dERERERG9Mew+fwN7DpfqEYU5uSnvZ6lan\nScrOeHPEW265BV1dXejq6sK1116Lu+++GwDwxBNPoL6+Hs3NzVBK4eabb8aaNWvwqU99SpzXjh07\nHKffvHkzjhw5gp6eHmSzWdx7773YsWNHeZrdu3cDAHbv3l2u4O3YsQP33HMPstksuru7ceTIEWzZ\nsuVMbgoiIiIiIqLqNkd8xzvegQcffBArV65EIBDAD37wAwDA73//e/z4xz/Ghg0b0NnZCaAUH//2\nt78d3/nOdwAAH/3oR8XpLcvCnXfeiauvvhqFQgE333xzOdTjtttuw/XXX4/vf//7aGtrw89//nMA\nwJo1a3D99ddjzZo1sCwLd911l7apIhERERER0Vww1Om8ZEWTWNd9Ze5mpkv7kRLrtOliztMopUma\nkVJ4dOlJFaV4CaQUSFNISALEBCvd55S2jTaFUUjoUTk5jaoiUhLQXCZY6b5kkFLudIlPYpqfLqGo\ngi86pPnpto0uWWm2KklRq9YXOpWkbknrpktdFbeBZh9I85PSLgH5XDSX+7NaKknd0pG2tS4RVrdP\nZ7t46ZynSeaD5fw+hGHr35OoBlVJmc4LaX5zef7W3RNUUm4qOX9Wst7S+bCSa4i0DSpJfZ3r87Q0\nP902q2i/VWndxHlVcN2T6PZbJYneUqpmJde9SvbNLO7b/+cf3v/q+2IOqt5ZMxERERER0ZsZK2FE\nRERERERVxEoYERERERFRFbESRkREREREVEWshBEREREREVURK2FERERERERVVNV+wt7w5jqauyhF\ngcrRnUoJ0Z06cxk3XwkhlloVNdHHQiyzodkHYny9FItdWolZLR+AvN+0cd7C/NQcRp3romWlyFed\nimK2K4i31XWvIKlk3aoxL525PA618f3CuLkuA6/HWPm5jJKuVhcf2tPXLI83XfcBYpcpvtktA2eg\niw9xQVW6tokR3HMcqV7JuVBXQOaStK11x9RsD7e5PqdIm1p77FbSq5PUnYvmeJvL685cdjlQUXS+\nZvmFCtatkq4K5pKuHE79rDOUFz4JIyIiIiIiqiJWwoiIiIiIiKqIlTAiIiIiIqIqYiWMiIiIiIio\nilgJIyIiIiIiqiKmI1aLlJCiSzsy5jDR5pxWwecUNptyVTCv2SaIzaSiJCJhmtfj/qwoPamS1MSz\nnOqpS6862+tWreWf7c95ThDKQbW2jaE5dqRriFh25zj19Wyf1yo5F53tNFTdOley3SrZBhWp4Dio\n1raWVFI+Kzmu5/Jz6pIBq3Ed1S2jamVNUNF5Za7P07Pb13wSRkREREREVEWshBEREREREVURK2FE\nRERERERVxEoYERERERFRFbESRm9Yl61ecrZXgd4kLlu77GyvAr1JsKxRtVy2ZunZXgV6E7hsbdvZ\nXoWzhpUwesPiBYSqhTfGVC1v5hsWqi6e16gaLlvXdrZX4axhRH0lpLjRuY4kfh2mk1dG+i6gkrj5\nCfNSanKs8lzunznf1+fozp7ryFkxqlcXc12l+PrZxghPXIZSZy6SvGpx81Uqg2c74llrDruX0E7z\nGsq0KgCF3KvDdZHVLukSL6xzsYJuF4qablbECPBqlQHNNOdqfH1F2+YMfRbDmPx32rh5aR3msCuP\nal1357KbGaCyciNNo52XdLzNfvFyFwq6/SksaK7vI+b0nqCSY3oW3XLMsK58EkZERERERFRFrIQR\nERERERFVESthREREREREVcRKGBERERERURUZSp2riQDnrr0HjzmP4KaszJy+tPnqvOoCHkQSmQnj\nuH/eUM6h460u4EUkkT7bq/EanTvb8+yZ4xfIRZVv6+llTbPOsz636v6+kpfhz3KZmutAgDktH+f+\n8XbGz2tnu3zM5T7QfRaxHM7lsatR0Xaey32j/yyzL2dnu9yc/r5pqQ/igtZ58pxYCSMiIiIiIqoe\nNkckIiIiIiKqIlbCiIiIiIiIqoiVMDor0uk0tm7dio6ODqxZswaf//znJ43/+te/DpfLhVAoBADo\n6emBz+dDZ2cnOjs7ccsttzjONxQKYfv27Tj//PNx1VVXIRwOl8fdfvvtaG9vx6pVq/Dwww+Xhz/1\n1FNYv3492tvb8clPfrI8PJPJ4H3vex/a29tx8cUX49ixV98F/OIXv4iOjg5873vfm5PtQWfObMva\nr3/9a2zevBkbNmzA5s2b8dvf/tZxvixrNJFUzv7hH/4BGzduREdHB7Zt24YTJ04AALLZLG688UZs\n2LABHR0d2Lt3r+N8Wc5oqtmWNQB49tlncckll2DdunXYsGEDMpnMtPmyrNFUsy1rTz75ZPk+bcOG\nDbj33nsd58uyNkYRnSWJREIppVQul1Nbt25Vv/vd75RSSh0/flxdffXVqq2tTY2MjCillOru7lbr\n1q2bcZ6f+cxn1B133KGUUmrXrl3qc5/7nFJKqYMHD6qNGzeqbDaruru71YoVK1SxWFRKKXXRRRep\nffv2KaWUuuaaa9SvfvUrpZRS3/72t9XHPvYxpZRS99xzj3rf+96nlFIqEomoG2+8USml1J//+Z+/\n9g1BZ9xsylpXV5caGBhQSin1/PPPq8WLFzvOk2WNpnIqZ9FotDz+W9/6lrr55puVUkrdeeed6qab\nblJKKTU0NKQ2bdpULicTsZyRk9mUtVwupzZs2KCeffZZpZRSoVBIFQqFafNkWSMnsylryWSyXLYG\nBgZUU1OTyufz0+bJslbCJ2F01vj9fgClb4QLhQIaGxsBAH/7t3+Lr33taxXN84EHHsDOnTsBADt3\n7sT9998PANizZw9uuOEG2LaNtrY2rFy5Evv27cPAwABisRi2bNkCAPjQhz5UnmbivK677jr8z//8\nDwDA5XIhnU4jn8+jWCxW+OmpmmZT1jo6OtDS0gIAWLNmDVKpFHK53LR5sqzRVE7lrKampjw+Ho9j\n3rxSUtbhw4dxxRVXAADmz5+P+vp67N+/f9o8Wc7IyWzK2sMPP4wNGzZg/fr1AICGhga4XNNv/1jW\nyMlsyprP5yuXrVQqhbq6OpimOW2eLGslrITRWVMsFtHR0YHm5mZcccUVWLNmDfbs2YPW1lZs2LBh\n2t93d3ejs7MTl19+OR577DHHeQ4ODqK5uRkA0NzcjMHBQQBAf38/Wltby3/X2tqKvr6+acMXL16M\nvr4+AEBfXx+WLFkCALAsC3V1dQiFQggGg+js7MSWLVvwwQ9+cG42Bp1Rsy1r4+677z5s2rQJtm1P\nG8eyRlM5lTMA+Pu//3ssXboUP/zhD8vNeTZu3IgHHngAhUIB3d3deOqpp9Db2zttnixn5GQ2Ze3I\nkSMwDANvf/vbsWnTJvzrv/6r4zxZ1sjJTGVt9+7duO2228p//+STT2Lt2rVYu3YtvvGNbzjOk2Wt\nhJUwOmtcLheefvpp9Pb24n//93/x4IMP4vbbb8c//uM/lv9GjfWgsGjRIpw4cQJdXV34xje+gQ98\n4AOIxWLa+RuGAWPO+4kp+cxnPoMDBw7gve997xmZP82t2ZS1cQcPHsRtt92G73znOzPOn2WNgOnl\n7NFHHwUAfPWrX8Xx48dx44034lOf+hQA4KabbkJrays2b96MT3/607j00ksdvzGeiOWMxs2mrOVy\nOTz22GP46U9/isceewz//d//jUceeUQ7f5Y1GjdTWfvrv/5rfPrTny7//ZYtW3Dw4EEcOHAAn/zk\nJxGJRLTzfzOXNVbC6Kyrq6vDO9/5Thw4cADd3d3YuHEjli9fjt7eXmzatAlDQ0Nwu91oaGgAAFx4\n4YVYsWIFjhw5Mm1ezc3NOHnyJABgYGAACxYsAFD61mTiS8q9vb1obW3F4sWLJ337PD58fJrjx48D\nAPL5PCKRSLkZG70+nU5ZA0rl4D3veQ9+9KMfYfny5Y7zYlkjyXg5m9q88AMf+AD++Mc/AgBM08Q3\nvvENdHV14f7770c4HMb5558/bV4sZ6RzOmVtyZIleNvb3obGxkb4fD684x3vwIEDB6bNi2WNdE6n\nrE20atUqrFixAi+//PK0cSxrJayE0VkxPDxcTsNJpVL49a9/jUsuuQSDg4Po7u5Gd3c3WltbceDA\nASxYsADDw8MoFAoAgKNHj+LIkSM477zzps13x44d2L17NwBg9+7duPbaa8vD77nnHmSzWXR3d+PI\nkSPYsmULWlpaUFtbi3379kEphR/96Ed497vfPW1e//Vf/4Vt27ad8e1Cc2+2ZS0cDuOd73wn7rjj\nDlxyySXifFnWaCKnctbZ2TnpBmTPnj3o7Ows/00ikQBQSuS0bRurVq2aNl+WM5pqtmXtqquuwnPP\nPYdUKoV8Po+9e/di7dq10+bLskZTzbas9fT0IJ/PAwCOHTuGI0eOoL29fdp8WdbGnMVQEHoTe/bZ\nZ1VnZ6fauHGjWr9+vfra17427W+WL19eTqy777771Nq1a1VHR4e68MIL1S9/+cvy3/3N3/yN2r9/\nv1JKqZGREbVt2zbV3t6utm/frkZHR8t/99WvflWtWLFCXXDBBeqhhx4qD9+/f79at26dWrFihfr4\nxz9eHp5Op9V73/tetXLlSrV161bV3d0915uBquB0ytrEdMR/+qd/UoFAQHV0dJR/Tp06pZRiWSOZ\nVM6uu+46tW7dOrVx40b1nve8Rw0ODiqlSomvF1xwgVq9erXavn27On78eHleLGekM9uyppRSP/7x\nj9XatWvVunXrykl0SrGskd5sy9qPfvSj8r3aRRddVE4wVIplzYmh1JQXIYiIiIiIiOiMYXNEIiIi\nIiKiKmIljIiIiIiIqIpYCSMiIiIiIqoiVsKIiIiIiIiqiJUwIiI6pwwODuIDH/gAVqxYgc2bN+PS\nSy/F/fffr52mp6cH69evr2h5u3fvxsDAQPn3D3/4wzh8+PBpTfvoo4/iXe96V0XLPR39/f3ljkaf\neeYZ/OpXv5r1PL785S/j61//+lyvGhERvQashBER0TlDKYVrr70Wl19+OV555RXs378f99xzz6SO\nOufaD3/4Q/T395d//973vofVq1efseXNxqJFi/Cf//mfAICuri48+OCDs56HYRhzvVpERPQasRJG\nRETnjEceeQQejwcf+chHysOWLl2KW2+9FUDpidfb3vY2bNq0CZs2bcLjjz8+bR66v7njjjuwYcMG\ndHR04POf/zzuu+8+7N+/Hx/84Adx4YUXIp1O4/LLL8dTTz0FAHjooYewadMmdHR04Morrzztz/Gz\nn/0MGzZswPr163HbbbeVhweDQXzxi19ER0cHLrnkEgwNDQEAXnnlFVx88cXYsGEDvvjFL6Kmpqb8\nWdavX49cLocvfelLuPfee9HZ2Ymf//z/tXMvIVG1cRzHv6d0mKDboKAtpMvGRQOdyWPaopEJIiow\nUKikzdBiiGEoBEH3IhRBBhVEkVFRjG83k6iFRWgRMtNcFAospGzRJjRQzCEaz7t48VBN0yuRo4vf\nB2bxnPM//+d5ZvfnufyTs8Ll9Xr58OEDAB0dHVRWVrJjxw5GRkacmNHRUfbs2YNlWfj9/h/eiYhI\n4agIExGRJePVq1ds3bo17/uysjL6+vpIJBJEo1GOHTs275hHjx7R29tLLBYjnU7T2tpKY2MjlmVx\n8+ZNkskkbrcbwzAwDINPnz4RCoW4e/cu6XSa27dvz2sOHz9+pK2tjadPn5JOp4nH49y/fx+AL1++\nsH37dtLpNH6/n0uXLgFw/PhxmpubGR4epqKiIidncXEx7e3tHDp0iFQqxYEDB3JWuObaiUSC7u5u\nhoaGePjwIfF43HkXCoU4e/YsL1++5NSpU4TD4XnNSURE/q6ixR6AiIjInJ8Li0gkwvPnz3G5XMRi\nMb5+/UokEmFoaIjly5fz5s2bnBw/x7x9+xaAx48fc+TIEdxuNwBr1651vrFt+4cctm0zODiI3+9n\n/fr1OfG/E4/HCQQClJSUAHD48GEGBgbYv38/LpeLffv2AVBVVUVfXx8Ag4OD9Pb2AtDU1ERLS0tO\nXtu2c8b5q5hnz57R0NCA2+3G7XZTX18PwPT0NC9evHDOmM39VyIiUngqwkREZMnYvHkzd+7ccdrn\nzp1jfHwcy7IA6OzsZN26dVy/fp1sNusUVN/LF2MYRt4i5lfnpv70LNXP/di27eQqLi52ni9btoxv\n3779UR8ARUVFzM7OOu1MJpO3f4DZ2Vk8Hg+pVOqP+xQRkb9D2xFFRGTJ2LlzJ5lMhgsXLjjPpqen\nnSJmcnKS8vJyAK5du0Y2m83JkS9m165dXLlyhZmZGQA+f/4MwKpVq5icnPwhh2EY1NbWMjAwwPv3\n7wGYmJiY1xyqq6vp7+9nfHycbDZLNBqlrq7ut9/U1tY62x2j0egvY1avXs3U1JTT3rBhA8lkEoBk\nMsm7d+8wDAO/309PTw+ZTIapqSkePHjgzHPjxo1OP7ZtMzw8PK85iYjI36UiTERElpSenh76+/vZ\ntGkTNTU1BINBTp48CUA4HObq1auYpsnIyAgrV650vpsr1PLF7N69m/r6eizLwufzOZdaBINBjh49\n6lzMMae0tJSLFy/S0NCAaZo0NTXljNUwDJ48eUJFRYXzGxsb48SJEwQCAUzTxLIs5xr771fX5s6e\nAZw5c4bTp09jmiajo6OsWbMmZ16BQIDXr1/j8/m4desWjY2NTExM4PV6OX/+PJWVlQD4fD4OHjzI\nli1b2Lt3L9u2bXNy3bhxg8uXL2OaJl6v19kCKSIihWXY/7fBXERERBbUzMwMK1asAP5bCevu7ube\nvXuLPCoREVkoOhMmIiKyyBKJBJFIBNu28Xg8dHV1LfaQRERkAWklTEREREREpIB0JkxERERERKSA\nVISJiIiIiIgUkIowERERERGRAlIRJiIiIiIiUkAqwkRERERERApIRZiIiIiIiEgBqQgTEREREREp\noH8BzkL5yxzW1voAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1092360d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We would like to answer two questions quantitatively:\n",
" \n",
" * Is Nessie co-located with the centroid of CO?\n",
" * Is the apparent curve in CO significant?\n",
"\n",
"To answer these questions, let's fit a smooth function through the centroid"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from statsmodels.api import nonparametric\n",
"lowess = nonparametric.lowess\n",
"x, y = midplane\n",
"xy_smooth = lowess(y, x, frac=1./3)\n",
"\n",
"fig = nessie_figure()\n",
"fig.show_lines([midplane], color='k', linewidth=5, alpha=.5)\n",
"fig.show_lines([xy_smooth.T], color='g', linewidth=3, alpha=.8)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Auto-setting vmin to -1.013e+01\n",
"Auto-setting vmax to 9.871e+01\n"
]
},
{
"output_type": "display_data",
"png": 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TxSwVVKZDtwMEufHwHQbjk2iWMlmNpGOZbFSShr2+LfzvTSYmyUTkG5YJEOxa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\noRNaekG+plVtcEXrW+ZeOfJ/FKxxdbC2goMhdAyh6xEGAY7ngecRex6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pglGhjreZ0FWo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\n",
"text": [
"<matplotlib.figure.Figure at 0x114f26550>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So we see that the smoothed CO centroid (green) lies above Nessie (red), though the scatter of the midplane (black, due to a presumed intrinsic randomness in how CO is distributed relative to its 'true' centroid) is comparable to Nessie's offset\n",
"\n",
"Nevertheless, Nessie's offset **is** slightly significant. To see this, we treat deviations on the scale of the black line as 'uninteresting' scatter. Nessie deviates from the centroid by more than this. Looking at the distributions of deviations:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#deviations of un-smoothed co. xy_smooth is sorted in x\n",
"x, y = midplane\n",
"ind = np.argsort(x)\n",
"co_deviation = y[ind] - xy_smooth[:, 1]\n",
"\n",
"#sample nessie along midplane\n",
"nx, ny = nessie.copy()\n",
"nx -= 360\n",
"sample = np.linspace(-26, -17.6, 100)\n",
"ind = np.argsort(nx)\n",
"nessie_deviation = np.interp(sample, nx[ind], ny[ind]) - np.interp(sample, xy_smooth[:, 0], xy_smooth[:, 1])\n",
"\n",
"#plot it\n",
"bins = np.linspace(-.8, .5, 20)\n",
"plt.hist(co_deviation, fc='#aaaaaa', label='Un-smoothed CO', bins=bins, normed=True)\n",
"plt.xlabel('Deviation from Smoothed Centroid [deg]')\n",
"plt.ylabel('PDF')\n",
"plt.hist(nessie_deviation, fc='r', label='Nessie', bins=bins, normed=True, alpha=.5)\n",
"plt.legend(loc='best')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 7,
"text": [
"<matplotlib.legend.Legend at 0x114f8d490>"
]
},
{
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x113ef1490>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's interesting that the smoothed CO centroid curves in the same fashion as Nessie. \n",
"\n",
"We can show that this is significant in a smilar way. We fit a straight line through the un-smoothed CO centroid, and assess by how much this model deviates from the smoothed midplane."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"x, y = midplane\n",
"x = x.reshape(-1, 1)\n",
"\n",
"clf = LinearRegression()\n",
"clf.fit(x, y)\n",
"y_linear = clf.predict(x)\n",
"\n",
"xy_linear = np.vstack((x.ravel(), y_linear))\n",
"\n",
"fig = nessie_figure()\n",
"fig.show_lines([midplane], color='k', linewidth=5, alpha=.5)\n",
"fig.show_lines([xy_smooth.T], color='g', linewidth=3, alpha=.8)\n",
"fig.show_lines([xy_linear], color='y', linewidth=3, alpha=.8)\n",
"plt.show()\n",
"\n",
"#deviation between linear model and smoothed\n",
"ind = np.argsort(x.ravel())\n",
"lin_deviation = y_linear[ind] - xy_smooth[:, 1]\n",
"\n",
"#plot it\n",
"bins = np.linspace(-.8, .5, 20)\n",
"plt.hist(co_deviation, fc='#aaaaaa', label='Un-smoothed CO', bins=bins, normed=True)\n",
"plt.xlabel('Deviation from Smoothed Centroid [deg]')\n",
"plt.ylabel('PDF')\n",
"plt.hist(lin_deviation, fc='y', label='Linear CO fit', bins=bins, normed=True, alpha=.5)\n",
"plt.legend(loc='best')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Auto-setting vmin to -1.013e+01\n",
"Auto-setting vmax to 9.871e+01\n"
]
},
{
"output_type": "display_data",
"png": 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x8XTH7exFsA2FJiWxYNuJY5YKK9OR2wHC/Fj0DoPxSTRLmaxG0rFMNipJw17f\nFv33JhOTZCIKDMsECHYty3Sdkq2sJOeBaGUzKuqFdDNY2ez66MXF6wQT0tT4uHz+UpxlCiQ7osFr\nJJV3U90RzaImbbiQbpIJFOQyJZ3HZLKTrFsmW5pg+usw6HD7BPmd0cwnlXdT2kjXarKIFcWFJOQw\nQpkK/egyYBmtr4IxzpAHFgbbohhIOJ5pOQIpCpKyG2S7qUFRbwlpIBlpjUtiSPXDqGGX8tqgm5fy\nzbQETBhdPo0uvaXWdzDcXyRzpSk9hWOl68UgrqQtLxvMt9L1SEZciGfrlc4jLpuDbJU03SslTO2X\nhLj8ickKHKPcLNX6CqQE01+hJKdNSuh7tGTlcphNRcdtuhR9T15dL9+P1jcZ8lpgU1t0ed81PCWG\naRT6ON1ZOW7FSnRa+wY74pQXnQZtafm+d3B4ftu6iKF+8Tdh//iP/8gNN9zAJz7xCQAOHz7M7//+\n7y8WTFEURVEURVEURYlg0UHY3//93/PjH/949s3XRRddxNDQ0GmPmKIoiqIoiqIoyrnIooOwVCpF\nKnXiFZ/v+4uuAK0oiqIoiqIoiqJEs+gg7J3vfCd//dd/TT6f5/HHH+eGG27gfe97Xy3ipiiKoiiK\noiiKcs6x6CBs27ZtrFixgk2bNvEP//APXHfddXzjG9+oRdwURVEURVEURVHOOawwNOhZlEgSf3h3\n9I6SbHMR7TiSHQhkrYpkyQLZrmWaQloUFGvpBjmMZNFKyqYuBHNjfXtX5PaposF2JNmTTNZCyQBo\nMBCKZidXtg11tDVFbh8aNZQPyUZlMlhJVjbJzmg6llQGDEayWEhpHRjsiJLNLyVbxETrlGCFA2Qr\nmVB3UmnZBNWYiY7zsTFD+ZTyx2TMy49Gbzelp2TTk+oHQEqIg1TWADyhjpryYKlIJj2Q27ymTjlM\nQdJNGpDsnaZ2RWo/JFsbyPY3UzstlYOi0BYlDDa/vGBXNbURUlkzmW+Fe2VouO9ZRlOpgFSv6tvF\nIKlkdL0uFQtCCPm+29EanW8JRw7j2JKZWQxCa310no7n5brTNyjk9eSwfCKpj2O4V6Yaow2/JcFK\nZ7xQT8gDk/24IpynMCGHcQzWUwlXqAem+i7cjxJJOT3bG6LrgV+R6+iqluj7mFDUjAbCN7dlI7c7\nhv5nWbATjpbk8nlgMrotCJDLR2cmOt3qBAslwKGp6POY0uDA1Py27c73vYnLVkX3CcGgqN+0aZMY\nyLIsXnjJd1rZAAAgAElEQVThBXG/oiiKoiiKoiiKEo04CPv3f/93ALZv3w7AzTffTBiG/NM//VNt\nYqYoiqIoiqIoinIOIg7Cent7AXjsscfYtWvX7PbLLruMzZs3c9ddd532yCmKoiiKoiiKopxrLCrm\nCMOQH//4x7P//5Of/AT9jExRFEVRFEVRFCUehi8Wq9xzzz187GMfY3y8+qFmc3Mz995772mPmKIo\niqIoiqIoyrnIooOwK6+8khdeeGF2ENbUJFs+FEVRFEVRFEVRlpvi5BhHd/2c0sQIqaZ2Wtb9hmjZ\nfCOw6CDs61//OpZlEYYh1hzN5Ne+9rXTGrGzmjg6XEmlHBpU0pLW1JZnkSaaV0Ru9yTlK8gaY0k5\nC7jZxsjtflHWT69Y1R25vTETrXJe0ShPe3XsaH3rgWFZkR+GbZHb/fEhMYyEm5L15KJi2DKobX2h\nfJiU+1L+SDpYSesPskbYtLSBpMxORWtqAfCFOJh08250+cik5XpYKAgKbEPdXdEaXaa9SnQ5bG+Q\nVcEN6eimtalO1pa/dkjQP0/nxDDURT8U62qV0/NoTtCTm/JAKoeGNiJRH52e6USLGGZyQlDES0so\nGPTXUtoY9f0SMZTqpnZaVP6b2ghhiQ9TmV6/MlqD/tqAEKYsqdaRdfMmBbik/Ddp9YX2w5oakcPU\nR7ftxrgJS0I01MllqiUbXX/HE9F5nTTor6X7RMKRw0yXottcU7tS9qP15JK6HuDIWHT5SGZXi2Em\np6LbCNe0bI2E1C+S7pMg5rVp+YLQFu5h5UW7xhEnMtwrpXIo3NsA6jLR6ZYXygDI9x0T65ui+zLH\nitFpPVSQ8+CZoej6blK675+MblvLJ2n1w4rPxOsvMr7vBcr+TPkYPsbhfS+Tau+mft2b6FrZM2+c\nMpf+6ej6nk3Ibe6ruej+7EFBkQ+woXl+epr0/HAKg7BsNjt7UYVCgUceeYSNGzcuFkxRFEVRFEVR\nFCU2xZEj5F76Gf509Pp1peF+SsP9BCu6aL7wMuo6VouDsbONRQdhn//85+f9/+23384111xz2iKk\nKIqiKIqiKMr5S6VcZOyVnzPd/9op/X1pdIjBX/wnTiaLk8xguy6W42LbLrZb/XESaZxUZvYnUV+P\nk0xju4kzMnBb8rvL6elp+vv7T0dcFEVRFEVRFEU5j8kf7SO3+2cEpqngApXCNJXC/Omx0vjq2My0\n8URdAy29l9LSeym2u7ShkR+OUQz6KFT6mBzt583Nn8GxDFPl57DomTZt2jT77yAIGBoaOr+/B1MU\nRVEURVEUZdmZPPwaw7t2yn9gWWRWXUg5d2TBYCsuXn6SoT3Pknt9N+0Xb6Z59YbIvwvCAvnK4eqg\nK+ijGPThhye+102HNlP+IZoSF57SeRcdhD3yyCOz64K5rktnZyeJhPwxoaIoiqIoiqIoylKYGtjP\n8Av/Le5PNnfQePEWEg2thEFAcbCPqf278SdHl+X8fjHP0V/+hNxrL1DovAirI0E5PEA5PEApPIAX\nHsWS3SgAjHuvL98g7Ctf+Qr33XffvG0333zzgm3nExdfsHLe/0/tfR47lWawfg2WFW02Sgv2pPFJ\nk/0uerBbL9gEASpBtMktZQhDZmXk5rqUXDxES1RefgW7qiXawnOxYOfpqZeNOn2CUcex5Tm9ualo\nM18xGX39IBvw9g/J+dY/cCx6R9pgn0vKtkURTzCZSYupm6xwGcEkZ5gjLdkJUwbbkGT3sg3nKRWj\nrzOTlM9TKAvlvSzbO8fy0dYnrxRd1q66cK14rHbBUvXSqHz+8bboPHAd2SboCuW93mDJWr+iU9wn\nkStEx605bbCyBdFWtnpXzreA6POcbMo6zu7+CfFYrmCZK5TleuDURVsLpfYbIDcZXT7rM3L7dZFg\nLTw0IpePYzRH7zAYdqVrXdcVnc7TJbmNmipGl0OTAXAsJ3SMpDYKcDPRcQjSsnU1EKx5bU1ymJGJ\n6HIYGuImmQsl0+B0Sc4bqc0rCTZDkC2IhiiLJA33SilPTXVn07poM/OhEdm4KZkb16+MLp9xjuVK\ntmLAC4W2SDKrApSF6XEJw/QzwaBq2XI73dkU3X40CvUDICPk29bOaFMtwErBBnpwKvo6XxSMgQDH\nBHPi/lE53+beq4pDh8jtehLCcEFZs9wkmQs2Y6/aQFf7nHq97mLC3osoHDvMVN9uCiNHI8/TlIxO\n6+P3lpAQLzlFMT1KMT1KKT3GlPtPMG5hJ1Jg2Vi2DbZNVTZ+olxZJHFYgxuuoTW1gXx5Pa/N9M8K\nvtnGu+ggbPfu3fP+3/d9nnvuucWCnTd4EyPkD+yGEPxwD84FV2I3Lb2ToyiKoiiKoijnG6WRAUZ/\n+VTkE4VEazd1l7wNW1gayLIs6jpW07xyDZVyEb9YIKz4BIFf/V3x6Uo6VLwyXqmAV5pmunyM8eAQ\no+EA084gpdQogTP/IXEYhBBApXRi4GmFFuF0FjvfihP0kGr8TRLNb8a2qsOpRndpD9TFQdg3v/lN\n7rzzTgqFAg0NJ57aJRIJ/uiP/mhJJzlXCcOQqV89CzNlJiyM47/0JHb7Wpzey7GSwlowiqIoiqIo\ninKeUx4dJPf8k4QRs3USrd1kN70Ty7Am5VycZBrnpLXpvGACP3GEXPl1cuXXGS2/TimozqKohCFh\npYJVdMBbOFPHKdXhFppx8zM/hSam8ifeuvq8QtBwjETvm3Gau5Zy2YBhEPblL3+ZL3/5y9xxxx1s\n27ZtyQc+HygdeR1vbOHUs2D4AEGuH2fVxdUFLi0L33Wqby8tGyuRwm7qxDItJKkoiqIoiqIo5yjl\n8WFGnvtPwmDhAMht7iT7pt8+5QEYgB8UmKocYMrvY8rfz5S/n1JlhKRhEXTLcUhmG0hUOnDGUtij\nLqlCC5Nj9diVqOma86e+BpMjlF58Erupg/LlbyXZcuqz4cRRwCuvvMIll1zCDTfcwPPPP79g/xVX\nXHHKJzlX8fPj1YFV1HzswKdy+KXZ/y2fNP/aclwSF76FMNPxhllUTlEURVEURVGWQhhUqEyP40+N\nUZkeozI1hj89hutHf2PmNrZTv+ldxpcVlbBEvnKIab+P6UofhcoBCpWjRHfKTzq+laEl2UvWWUdz\n8gKaEutI261YPRZTwwMc3fMLpiuHl3SNwfgQI88+Sqp9FY0b3yZ+3zovHtKOv/3bv+W73/0un/vc\n5yIHCf/1X/+1pMidi9Svv4JUxxqmXn4Gb2JkSWHDik/51acJsyug9wqsRHrxQIqiKIqiKIryBiAM\nAvJ9uykefInAKy38gwiZSKKhleSlv4PlnngLFYYeHv14HOL16SMzg64BwjlvpaR3XZaVoDXZS2vy\nAlpmfhrcLizLZspbOAWyvn0VF/6v9zH++gG88WNUinmC0nT1d3EaiuNGG0557Bj2Kc50E//qu9/9\nLgCPPvoo6fT8AUKxuPTF085VEo3tNG+5juLAa4ztehr8aAOfyGg/4dQI9F6J1bLq9ERSURRFURRF\nUWqEN5ljbPdPyOcEY3QEbraZlivezbA3iBcexOMg5fAgPgOEVAdMhbI8tRDLoc5ZRb3bS4O7jnq3\nlzqnm3UNi7+VmncYyyLZvIJk80LrZzmXpzI6gNf3AsFUbsH+7NqN2MlTe7Gy6FDt7W9/+4LpiFHb\nzidWN0YkbtMm6rrWMvXaLgqHf7VglCxpZ0OSQAAHfo5TvJDEBVdgOVUNraRHN2nY04IePGHQtErT\nIU2qXq8SvS9r0NpLivjnBW35eFlejEEw8UfnzSnETWJzW7Ti+CnDFNJ9A9HXadKGS+rh/hHDa3Vb\naIikJzAJWZktPdXpapUbLqkMSMskALRko8v00Lj8YKehPjoPRqejdbgAK4XlEI4YynSjsIxDujE6\n3eoMau7ubHSYQ1MRTwJn6GmNjvOaBrlMp4V57kfy8sOgNqEe+DE814aspisTndeXCXUKYDriqSQQ\n+bQSZL0yyGnTb0ibRqH9NM0Yf200On8CQ3oWhetpb5DrqNRONxjald/qidba1wvKfd+QoVlhaYFR\nQzvdnu6O3P6fh+U1fdqEZQ/ebCg3jx2KPl7eoIjPpqKXCZBU5wCDQjslKd0nCnLaSG3+qha5vq8U\n2s+MYdmHDiE99wvLvIDcFpmWakgI96MLOuR8qxfq27BQR6WlcQCKntDHMtTDeqFtnyrK+Vb2o8OY\n7u/S8UzLO1zRFa2Vl5Y/AZgQlhAw9aWk9GlIRJ/nXcLyAQD7JqplKggqDP7qfxh6dRctYYhr6HsV\nAp9KahKvboygsYjTXUeu8jiWfeJaLKCa8/bMf0+0hRmna3aw9RvNF9OSXItrL8yjX+ailxVaZ7i/\n1gnlsz6dgJVrCbvW4B07SHH/L6nkxwEo4ZJesYGxmf6JL/STjiOmzJEjRxgYGCCfz/P8888ThiGW\nZTExMUE+L68TcD5jJ1I0XvpW6lZfTGnoIJVSAQghDAlLfvV3uYiX648MXxncRzA+SPLid2A3tNU2\n8oqiKIqiKIoSk+nRIQ49/yOKEYsnh1YFLzWJlxmjnB7Hy4xTSk1gOWA5CZx0Hd7MWrsWCx86pZwO\n6pxe2pLrqHfXUu+sxbVPPDBYkY6x3uqvgWVZJDvWkmhfTXmoj+L+X5LqvmjeNMrFEAdhjz32GN/7\n3vfo7+/nc5/73Oz2hoYGvvnNb/56MT+HmPT2MV05TNpppxw04FqtuPXNuPXzn0Bac56IlYcOkH/1\nGcKI+bFhcYrSC4+T3LAVGi467fFXFEVRFEVRlLhUfI+B3U8z9NqLAARWhVJqnFJqjInEKF56DC89\niZVwsWwH23GxHIeE1Rw51SBlt1PnrCXj9FLnrKXOWYNrV9+qSjMWzhSWbZPquoBkx9pTcYLMQxyE\n3Xrrrdx66608+OCDfOhDH/p143jOMlJ+joHiDwHwghCwcK0mXKuNhNVOwmrDtdrwwiYc2nBoIdmx\nFrdpBflXnqY4eGjhQcOA8qs/JU+ezAVvfsPZE/2pUfL7/ofK9DiWm8BKpKvzY900VrL6b6e+Gae+\n9Q13bYqiKIqiKEqVwSN72fXCwxwqHaLUNUYpNUY5OUloVUcklTDEsh0SmUYs96RhRxiStNpJ22vI\nOGtJ22tJO6tpSMjTHs9WlqLSP86iH8l86EMf4pFHHmHPnj3zhBxf+9rXlnyyc5FScLIVMcQPx/DD\nMYrsm91amZ13a+OETbiJVuxNbYQrywQDw1jFFFYpA+U0Vlh9HVvoe5FKfpz6S9+O5cpzoc8WwjCk\n2P8q06/+PHLRvZOnHjv1LaRXX0qy54JYhVdRFEVRFEWpDcXKJMOlPoZLfQxO7+XA0POMe0egWf6u\n2E3V4aQyYFmk7RXUOWvJumvJOmvxg1W41tKkGecSiw7CPvGJT1AoFHjyySe57bbb+Od//mfe+ta3\n1iJubwiaExtxrBTFYJjx8hB+OIr5fWRAhVEqjAL7qLSG0FwhLE5VBy4hWF4aq5Qh79dRLP+Kwr5f\nkl372yRTq3BpAU59vmmtCPwyE3t+xlT/66ccpjI1yvTLP6Xct4tMz8Vkei46ZaOMoiiKoiiKsvyE\nYUi+MspwaT+5Uh8jpT5Gyn1M+8MAeKUipfyUUXySCVvpbNuMndhAnbOG7JwphccxSUPOB6zQlILA\npk2bePHFF7nssst44YUXmJqa4tprr+XHP/5xreJ41pH53MPivhAfrHFCa4TQHiW0coT2KEHlKNhj\nhPbEvL93Z61GYXX9gTmK+3kWRMvGrWvAchKknGYSVitJu+3Ej1X93ZJagWMtNMOsrpetW/WCWclk\nS3v8wAktpz8xwsSLPyIoTFI2mGAk61Q2VT2/ZbukVl5AZu2bcDL1XNxWJx5LkniVA9ls1ZKKfpto\nMtatFWxlJovY6xPR1imT1bI5GZ0HhyfkuHkVKT2jn61MFGSbYEY4vynOrx6ZitzulwpimI626CkG\nko0L4Pq1rZHb9xqMiv3T0elWFNIMICnY9CQzn2TOBJDO0pKUn3tlBFPW7lFZhNQj2NKkOg1ynhZN\nVjih7JgMgJe2RNffi5rkvD5WjD7P04OTkdsNxZNmIa1NVrgBwcpmMmhJnYicYH0Fs+FMwo74UB3k\nNgpga2e0YU0iaUjQglA+hoU8A9jQHJ3X04LJDuT2uFOwlwLc86vByO2jhjZPMlT2HZPrm2QHTAnf\nqJhMsVI9vKxbzjMpDZKSKRdwhfPkfdkcKZlFpWMB4r2/1WDGSwjHk4ybpjaqLKS1ZFwF+X5wocGy\n/PJY9P3NVD5HhbbgyhXyG6Ar2qP3/Uo4P0BWKIcpQ76tzCYJwoCR0hH6868zkN9Pf+F1+ib3kfcn\nFvx9WPEp5Kfw/RN1ywot6vxGsuVm6sstNFba2HzRVWz8jbdhO44xzpNC/pjuE3vGouuoQVzPsJAH\nFxra9hEhjKnuPPn6fGX9v/5fW3j7Olm0t+idIJOpJkRdXR39/f20tbVx9OjRxYKdt1i4ELZhhW3z\nemL+dLUwh/hgj4EzTmiPkW4qEzBCYOWopHME5aOE5YgCGwb40+M4dY141hgeY+QrC9862dOQsBtI\n2W2k7HZSdisppw3XWUmd00bGbSdpy53HpTB3+iGGwc8pHy/wKfa/SmnwAI2X/w60rV2GWCqKoiiK\noih+UGa4dJihYh9DxT4mKwcYyPdRDub3O09egsbzSpQKefADsl4zDV4z9V4LDeUWsl4zDg6VIKS9\ns5s3b30X9Y0ttbysNyyLDsLe9773MTo6yu23386VV14JwG233XbaI3auYuFC0A5BOxZQF8x/yh86\nHuX8bkqHf0KmvkglWSBI5Ku/kwUq+UnsbAO2QYHpBZN4wSRT9M1u6y+eeEaQsDJk3DbqnHbqnHZa\nkh1k3Xbq3Xbq3DbSdtOiwoxKYZLpV39O+dhh8W+SKy8k0bWe0CsSeiWCqWnwigSTwwSTJ39LNycN\n/BKTL+7E77kRV6cnKoqiKIqiLIlSJc+xUh9jpQMMFvczVOxjuHSISlghqPj4Xpmw4hNUKli2heM4\nOI6LbTsElkParSPrt2ANgzuZor7cQnPQjB3xzimZTHHx5rez5sJLVbi2BBYdhH31q18F4IMf/CDv\nfe97KRaLvPLKK6c9YucrFglSbZtxk2vI9P2MyklTkUICnIxP45s3YTVYlIMRymGOcjBMOchRIUcY\nyq9KAbywgOcdZsKrDqDsk9awc60kdW4bGaeNrNtOndte/e20kQ6bGNt3kNGfPyu+/bIcl/RFbyXZ\nuW7e9vKcBQuDiWH8gVeoDB+MPEZQynN014/o/s33aIVWFEVRFEWJ4Pj3W0OlQxybecN1rLifMa86\nTdeC2UGX73n4fnnWlGbP9K+SXpp6r5kGr4UGrwWn0Ejar1+wXpcdMVV19bqL2PSW38JO1nadrnOB\nJU1MT6fTpNNpbrjhBg4dilCrK8uG09BG+9b3kvufJ/EmTrw1srBxSinyz+1nxVveQ2vr2+eFy7pQ\nDsYpBTlKwfDMT46kPUa+Mky+MkwllOfJA/hhmQnvCBPekdltIeCXi5QL0xCElC9JYpcz2F6m+nvm\nB7uTuvVX49a1G89hN7aTbPwtguIUmfH9FPv3Elbmx2t68BCjr++m9cJNp5hqiqIoiqIo5yZBGDDp\nDXGstJ+RGUvhcKmPQmV8dkAFQBjODLrK+F6JcM5D87RfT7bcTLbcwoqwlXqvmVSQmTfgmjJ893Sc\nbH0jb97yTrp6egEoG765VqJZ+tfBSs1w0lna3vK/GfnFY3gTw/P2hRWPY794nI4t15Bq7pjdblkO\nKaeVlNMKrJ/dflzMEYYhpWCCQmWYvD9CvjJCJRxh2h9h2h9m2h+mHJx4NRYCge9RLkxTmfMhZpgs\nUEkWmFtNrWQaknUUrJ9iU49DKw4tOLRi04JnN2GHLVhhCxZZLCzsdD3ZjreQXn0pY888QujP/yj7\n2Mu/INPaSaalg3MBPz9JfmAfleI0iYYWki1dJOqbAVX0K4qiKIpSJQgrDBX7GcjvY6Cwn4H867w2\n+RpeEC26CIMAzyvhl6uDLyu0yHgNtHids4OubLkJNzzxOUu9IOUy0dTcxoY3XUHP2g3YjvZdfh1q\nOgjL5XJ8+MMf5sCBA/T29vL973+f5uZmAO68807uueceHMfh29/+Ntdcc82yhH/uuef46Ec/SrFY\n5LrrruNb3/oWAKVSiVtuuYXnn3+etrY2HnjgAdaurYogvvKVr/DII4/w6U9/+ox//2YnkrS95T2M\n/PwxvJO+oworHkPPPkbHW68l1WR+83Qcy7JIO02knSZakhcCC01qpco0w7m9DBx9keHR18hXhkm6\nWbxEgbKbx3dOsotZNnY6i51IcvxbzoApAqbwODHdMHDnfuiZxA5bsMNmRiodOIkWnMvqKb46gFXO\nYHsz34KFAQPP/Re9v/1+nKRsATubCYMKxaFDFPv3UhoZWLDfcpMUV3SRbu0i09pJqqlN101TFEVR\nlPOEIPQZLR8mV+5jpLSfp0cOc6TQhx/MN7Z6EZ+BhEFApeiTnEzSVOwk6zWTLTeTKTdi4+Au0ycd\n7V2ruezNb6Fj5Wr9TGSZEBX173vf+8RATzzxBPm8rHEFeOqpp9ixYwf33nvv7LYvfOELtLe384Uv\nfIG77rqL0dFRtm3bxp49e/jIRz7Cz3/+c/r7+7n66qt59dVXsU/Sri4l/N69e7Esiy1btvCd73yH\nLVu2cN111/GZz3yGa6+9lu3bt7N79262b9/OAw88wL/9279x//33MzExwZ//+Z9zzz338IEPfIB/\n/dd/XXBtiT+6d8E2YOFqxPP2Ca9p6+XBU/Mc/XToFSm++CTh9OgCBbnlJqjrfROpjrVcvnZV9LEM\nTzt6skn8conC1DjH+vsYOvgahamFatLjBFaFvvIYlWSJ9Op2Eh2NlBmjFIwwWjo2s1bawlfZ0pvq\ncM66amEpT1ieGeSVU1jlDFY5je10kuh8y8xbtWY6G7qwqV9SQ7BJ0MEOFqK11ABt6WjtbK9B+X9c\nc13OT5Lre4XRg6/ilwpGnXd2zkDYSSRo6uiheeVa6jpW46ai5SQm9W8Uw0VZmS1p2H8+ML6kcwD0\ntspLC4wLytc1Bs22pEv+6aEx+Tz56Cm3l6xqEMP8n+uj37ZKKmnHUPaeOxatVO+qk4U60rIHpmkh\nkobdhFQK39Ihp01eKB9HpuW60yEomy8xqP2lJH1eUNSPl+W0eXYoOoy0fAFAvaB4NqnbJTX2hCFu\naWE5gksFpTvIy3KYVM4HBd37r8aj79/ffNsF4rH6J6OP9dD+4cjtAFuFMiW1NwAl4ULf1CqXmyf7\no9uCxw7mIrcD+IJSvdmgGj8iLItREtTpphWAmuqiz2NeNCia7iZZYNUttDmm9ZkahHZltCR/ynBF\ne3ReO4ZbtLS8gbS8Q1dGbj8l3XzeoLVfJSzx0Si0AwCXC/0IU769ODL/w/tK6JMrHSKV6OfQ9D4O\nT7/GQL4PPzxx3VKTU66E1LkNdGXWsSKxhmDIZ3LfKMlSirFS9LW2RPQVXDdBa8cq3rFxA52dqyiX\ni4yO5hgfH2VsbJTB4REKhTyum2D1mnVsevNbaGvv5IVj0UvTSOcBSAj3cJDb3IOGpUR+JtwPDhna\ndkn5XzDcX3uy0f0S01I3/7z32Lz/v/emK9iyRjZFinfwz33uc2Kgz3/+8+K+40R1jh9++GF27twJ\nwK233sq73vUutm3bxg9+8ANuuukmEokEvb29rF+/nmeffZatW7fGDv/MM8+wdu1aJicn2bJlCwC3\n3HILDz30ENdeey0PP/wwX//614GqdORP/uRPALBtm2KxiO/7BMugXV8urESa9Jt+h+KLT0BlfiUI\nfY/p1/6H6df+h9de76Rx1ToaV60j3dBCEFTwiwWmpop4hWnKhWm8Yr76e+b/9wVlgsqpL5hnhw4t\nrW+i/dK3kMjOX9Pk9dECYVihwgR+mMNnlEo4gh+Okg+GqTBKQI6Q6MpiJesIKz5UfMJkiTBZ/bsK\nR/HDvViJ6s2mWLaxSOBaLSd+aMWZ/XcLrtWMbdX+Q9GKV+bIiz9j9NDemOE9cv37yfXvpwLUt3bS\n1LWGppVryaj2VVEURVHeEEz7EwwUXmO01M+xUh9DxX0Mlw7gB17k2pBhGFDxfSqV6k+91cjK5Bq6\nM72srb+QpN1LW3Yl/QdeY9+eXXheiRTH+zlyn9WybNo6VtGxag3tnd00t67Adhw2d50YPPf2nvj7\n8aKP73s4jqtvvU4j4iDsXe9616914KgnQIODg3R2dgLQ2dnJ4GDV3DIwMDBvwNXT00N/f/+vHT6R\nSNDT0zO7vbu7e/a4/f39rF69GgDXdWlqaiKXy9Ha2srmzZvZsmULX/rSlyKv7avvuzxy+85XjvCj\nV0/fGmpWMk160+/gvPoUlXz0m6rixCjFiVGGXnkeJ5mi4pUghLThcVR6CU/T65vb2HDFO3g5lJ+a\nW5YzMwiaP2BIeNWBXkhISJ6AUSqM4oc5AsaoWDkCcgSpEfz8QU5+Zh+Wqk9vLScJjk2IhxcO4YVD\nYlxsK4NLM67Vgj3eSdppIe20kbJbSDvNpOwWwnD5GpnC1Div//f/R3FydFmORxgyNXKUqZGj9L/0\nLA0rVrH2ineSysrpf7YThiH+1BiWbePUNZ6WBj4MA8LpccLiBFamETurg1dFURRl+fGCMsPFQY4V\nBxgq9ld/Cv0czR9ktDDMdKFYXdw4DLFsG8u2sS0HEg7WzIyviu+TLKepK9TTWG6hNWijyWshFZ54\nyznAQcZKC9eHlXCTaVpXruHyDRfRsWoNiSV+0uG68lth5QS97Vl6Z96QruiY/8atYZEZS8v+TdjW\nrVsplUpMTU2Ry+XYvHkzAHfddde8v7Msy9j5Wqxjtlj4X4fbb7+d22+/Xdz/V/++K3pHnHkES8RK\nZmi68hrGn/shlXz0K9njVMryq9mlnRRaOrrp6r2YzrUbqtNEB+XpiosfzsIii00Wlx7c4+k2J/m8\nfL5Xj2MAACAASURBVB/5Vx8jTBUJk4WZ39UfkgUq2SJW0sJyk1iuW41kBEFYoEyBcniE/kL00gpB\nmCRhN5O0m0lYrSTsJhJWIwm7CdtuJ2U3kbSbcW3zmmVjg4d49eknKC4yVTdZ10hD1xpKk2Pkc4ME\nFbOtci6TxwZ4+cl/Ye3m/0XrhRefcrizBW9ylLEX/xtvsjpNyHISJBpbSXWtJN3UTrqpjWT94uvU\nnUzoe/gTw1TGj+FPHKM0PAhz0tVqaMftvpSw65LZm56iKIqinArloMCkd4wXRicZKR7lWHGAY8Uj\nHCsNMFoaJpj55CQMAsrlEuVyCc+rquC9uVNsZ2ZYpfw6GoNWmrxWGr1WGr0WkuGJQVLCNI/TgGU7\nrLxgIytWX0hjWyeWbdPdqOutnk76hqfpG65OOT15OuJvGqYiwmkYhD399NMA7Ny5k+9973vzvgnr\n7Ozk6NGjdHV1ceTIETo6qt9gdHd3z1PeHz58mO7u7gXHXkr4np4euru7OXz48ILtx8McPHiQVatW\n4fs+4+PjtLbOXzj5bMVJ1dF05f9mas/PKI8sfGO4LFjQvGIVHasvZEXPBaQy8nc+p4NEey+J3OX4\nA69G7q9Pu4S2R5AsEKTK2C1prOYE1EPFmaISjuKHY4QsPs0yoEQpGKQUDC7Yd7BwoiF0rCSunSVh\nZdk71UjSridpZ0nZWaaP5Rg7cBA7laRk2diVBE6QwA4S2JUENi6NXeto6b2EbPuq2UFGGAQUJ0ZI\nTQ0zOXyEiWNHqHjydzZQne74+rNPEI4eZd3lb8d5gzytmhp4neHnf0QYnMiTsOJRHh0kN31COmO7\nCeo7V9O89hLq2rrE4wXlIt5QH+XB/VQmc/MfglTmz/MOJ4fxXvlvjo7uoX7tRrI9G7DfIOmmKIpy\nrpGfGGXg9b1MDg9Q8f3qY1TbxsJiuhJWH7Q7LpmmVupau6hr6QDkb8J+XfygxLQ/xLQ/wqFwmGlv\niInKMFPeEJP+EEV/AouQbMIBq/rY1yLEAupdqHg+heIUFa9MCkhZYKfACR2ccpZMJUvab6Cu3EjW\na8QNE7RnXHBDcMGqm8RiEqzqfSzhgDXz79nfhGR8f/bflhXOxsW2LS5c0UPHmgtJpmxgPxb7gJCM\nlaA6VfH4cY7/O6RcSs18lz//J/C9mT8P5mwPaHaKWIQz8az+HD9enWWf9PfVn+pXX8FsvOf+jVth\nwd9DSLtbnjn23DhUj7GlpTRznGo8LAIsQjY1Vmb+XT2mZZ34d1vamXfu48etDp7DOfuq6W0RzHyP\nHszsq/69ZYUnhZmbBrBmY5kH+j7D4fwJO7mJ02ZHjJqOeP3117Njxw6++MUvsmPHDt7//vfPbv/I\nRz7CZz/7Wfr7+9m7d+/sd1y/TnjLsmhsbOSZZ55hy5Yt3HfffXzmM5+Zd6ytW7fy4IMPctVVV52u\npDgtOKk6mjZfhT89QWnoAOWhg/gn2ROXgu04pDJZMg1NtK9aOzPwkj+ErgWJdZsJJoYJpqI/rraC\nBE4xgVME5vgjEvWdJNt6SK5Yhd2QoWKN4zNGd0OBYiVHMchRqoxSDEYpVUbxw1N4YxgG+EGBSlCk\nRA4vsMGaUf7np/DLRVhR/dO533tbWLjpDG6yDtd5HtfK4OYyuFYGx87gWmkcO01ze5ZER4YsK/Cn\nChRHJygM5yhPl7ADd96PFTpYWBzd/zITw0e5eOvVZJvb4if0aSYMKuRe+QUT+1+at1aJROB7TPS/\nzkT/6yTrG+novYTm1RtIpOsIw5CpY/2MHvgVE7/6lbhguEQlP8X4y88y8dou6lauw7JsAt8jrHg8\nezCD75UJggrNbZ1s2PSbZ7wOKIoyh3BuB+5Ep9KmUO1UWeGcDibUORNUO2Ms6JxV7HC2s2UBllVt\nS5qSzmznqrr/eCcrxK4rVf/emjnOzL+9SmWmQ34ijDUz8d4mAIvZ39ZMuPq0MxP3YCbezHbkIMS2\njndag5njnug8z7uewKc+mMKfyuEVprGsEMexsRwX27FpDJI4jo3tuqTq6nHTaSwLin5lppN64vqO\nnz/tWsztNB9Pm6LvL0gTZtKuM5MgqmNqz6QVBPilPIXpSUr5cRrLJdo7Q6yu8ER6zqRPMNu5Pt4h\nrg400l6KRCpJIpkmkUxizdgrLCuYfRNlze00WwHhTIc5CH1CyoShR4BHGHpYlk+IX90WznlwZ3gJ\nZZ88SyMMq/6AoPq9vB3aODgz/3awAT+YBqaB+Z9OmKyF0q7Kgr61RTKVJp3J4vEK8J8LwqQMsz8K\nheh9klSm1ZXvuZKsyvROzwmj92Zt+Twdqeh9DYa41QkqfZMwLSFcj8HThGP5c+rx4iw6CLv66qt5\n8MEHZ1XwuVyOm266iR/+8IfGcFHTBe+44w5uvPFG7r777lnFPMDGjRu58cYb2bhxI67rsn379tmw\nt912G5/85Ce58sorY4Xfvn07H/3oRykUClx33XVce+21AHz84x/n5ptvZsOGDbS1tXH//fefcqLh\nCZ12yYAIYAm2naI8pXBsOnqa2tjYSW+lnC5Y2UXYOo1rT+INHcSfOPFK1EqkqKuvx05lcNLZ6u9U\nFjtdh52qI8jWV6f1zaTZfoCjRRqS8jS55w5E26gK47KNCkd4iuVFr3lBXQvh2rcS/upHUJg//dEV\nXtVblgVjOfJjOdj3AlYiRbLrQhIr1zOVqA5U3JmfrA2hFZJwi3jBGF44ih+OV38qYxQLA7iVYxTK\nw5SZIpzTKHjVO371f4RKbNs2yWwjtlOtZhPlSSA6vxdcTRrCHnAJCbwyQbkwczMBQgs7cCFwsCou\nP33hQdKNq0g1dOJYabrqGnCtFK6dqf620rhWioAUjpWe/X/HSuHaaRwrRWcmHTkF8JIV8iDk5aHp\nyO2dc+xiXmGag88/SSU3SDbhiGY+6YbjTU9wdM/PGXz5F9R39FCcqHY0APKCWQvkRvKE7TKEoflz\n6y03y/G9hf5xfjV8kC1vexe/uemyyLQ5ll+6GfDlUXmqakFouFcIhk6I6BDMsNZg7xwVzGMb2uW8\n9gXD2MWt87dXb9zVnwt7moBwthNU/Ro0oFgsV5+8hic6nOFM57Ix6554KhsGs/++tDex8FhhwOFZ\nS1YwcwxmjhtSKB+Z6cjN7RSG+JXJeR3mEx3QkLTDbJi5HfE1Mxa1aqf1RLwtAia8ymzH7/gTYouQ\naW9hh/Xk8zG7rdp57KxzZ/998nmqRsX5gwyLgFIl4PgT2uNpcbwT2uqWTzp/9ZjdK+af9/j+Xxyy\nF6TX8eupDk6q55obr3e1Bwvja1WPmZjtgM/ttIe0peb+//zjBfOeLJ+IY8KTez5Xr4jefnmDPBNC\nOpppJvS0ZHUUGraKpLSk+uYiCs9g85s9VVCVV1HxoOJX27vG6L9fYHf1LCw3QSKZxHZdLGdhNzAp\n2OxMX1wkTjpPSEhYqRBUfALfw/fKJIKAhHsiroGQcLaQO5Y1IyXzwPIskpkMqXQdAQHloDqQCkKf\ngOrvSuATzvw7jDiXFc499px/R58d106QsBM4VgLXdrECm3K+CJUQSyxRcnpK9ynHcbFsB9dNYFkW\nQVAhCAKCIMDzKwRhgGVZuIkk6XTd7FpdtpA/ko21eq7ofdLgwGQFLgvG0ai0P45pQCOREvp/TUn5\nXilN7zRZbKX7q8mO6NgWjWmH5rAaF3eRCxQV9ce5/PLL2bVr16LbzicSH/t/o3fEGYSlDNP8pG+F\nknKY1V3VKZWhXyb0PaxEGstxaMjI421JH9pg0NrXahAGVckCk8OE40dh7Ajkx8imo6/H9C1RY8dK\nMj0Xke5YM+/Gk3QsgnKRSmEKbyJHcfj/Z+/Ngyw56nvfT2btZ+l9pmefkTQDGonRxiKM2WyBMb62\nTDyHuSYcFwI7bIf9MP8QgR384XA4vIAjbN94j4e368AQzzb4XuKBcWAeVw8sXwMSljSgXUgazb70\n9Hr2WvP9UXVOn+6urFmQBi356Thx6mR1VWVtmfnL/OX3d5pw6RwqTZgpGsAKhRIpqRWRWRGum5DK\nmNSKSGVEasVkMiaVMQMRIWs23swUmYiIVY9MRfoKHH2DYHhvVJaR9Ltk48GsN725wnawgwaBpiBa\nf9PXexYhLwRtKXCEjyMdbOnhCA9HenQTicTFFvlHCgdLutjCYaGjkNhI8nSJjcDhNdsmsaVNuNbi\n4uMPoqKYfB6gop+mo17PYQ+pEHnP67C3F4rez6KGtOW4WwajBuaZ1nrvtyx6SxEghcKSCqSNsB1E\n0hv1qO4ppJzH9z9sHO9veqO8jf/Pzu3bOXToRjzPA7KRMdyJY9jU8M/JiEZqoxtdMxb7IZsbpBQ9\n5GmWscFVomjIWmM94Ft6msV4g5XRcr1osG9wpSj2F6cZbGrgIhRzNWeDkTOe92G6GjOcxq8FGxrn\nOZ6m/MgqGqa6BoGuHgsrKtCLmjAF7Yr3UHccXZgE0IcW2NpjfWm8iuPoGj9Vx9E1FnSNiyop/kCT\nN51EP+jlyavKaV3PdJmS3BDdJdBJncNLzwhTAEkIUX9LW0N3P0EfYmOULCTSdrD92ig+5dUYYbbM\nXeXTJDe60jQBlVUaJ1VGWF7n5h00SiiUyMup/HfxIUNJinBGuodNn2ex6ZcUNhIHx3Ly6QfCKTo0\nPSzhgJBYQuYeGa0WnU4HNRrJEaBGY62jdCltGvUG9VoDx/VJk4w0TUnSFKEUSZKSZQrX8wn8Gr4f\nYNsuvSiFUU0tgPwcO3FWLINCbli//rqvpysEs0HeKZe/d8NyOd9mInA37D9/AWTxfArEaF8ShKDb\nS0bHH6YNj7XST4t8bTxGkq3XNmzIs2DCdYrjbjyXk6OQGCI/TyVHv1fCbKwVI0bL+5pDlciNx1BI\ntm0+z+L738+1Nu2nuLZKMOe7m9Lze/rUarjhuKq49wrBw8s9MmUX9wb+z//tFu7YM4WOS46EWZbF\niRMnRoGMjx8/viV+l+GFYN3VIW+wjrk6WNb6cvFoS5H3hNZtGyEypDN85AcIoWg4drG/jT2wAoVj\niVEjbuieIIC6Izb0hI5v155sjVwsho1ZSUbkttaPMVpfnI9lI0cN3LHt0sHYPsbcObz6yKd3lCZc\nSKZo0iHrrqJ6K6Byf3IpFAiBKBrl+XEYLbvWEwjxdURfYtebiCxBJREyi/LKwgIxoxAzw2sOgSNH\n13+4PyEUjmQ9X2LMSEBhT0xRn96elyvF+SuVsjzoAwl5DLUYSBFi+DtBiLRYnyFIQGTYIivWp0CG\nymLI4mLfRXEhRsUUiCUsS2IV76gQm4opUVknlTyF+lq3tH2h8uutMoWaVnAgT84vjyhKYoEQFtJ2\nR+19ofJtyNTof/LthhXB2LZFgRfGGRvORkqw7Nz4smyQVr4+jVHxANJ41CMY9LvILENJQSYkSggc\n2wYpUEKCzNMQAikEFy9+g0ajie+vhzwQFQ0sW9Namapwl8g0fR5XU9raomIrUZ63NK2qDq7coDAY\nXhjGG5J5w0iNlofrJSAJs3jUGFZ57ZL/v8o9dYYNpUytN9rEqLRcb0zmjSxZGPZi1Mge1YxqfXyT\nsfQwVmP/W+ShyI9lWaiiYZkhimVBq5+Mjp+pPF1FfbLlM6iwXxwrbyQqlX87llWksZ6vYtm11z0Q\nsmx4/uBZ1sioypQAYdHYeR3B9n1Fo12Mzns974yumSryrIDOxXN0Tz9D1O+NzpXi2xJDgyQ/bkpG\nIiNiGdInJrVCYhkTy4jECollRGqHJCIiE2rsOufjY6NzGb8OgOUGOH4wur/DriRR5NW1atStOerO\nLA17lro1x4y3nYYzS9Oeo+lsyxULgd213GhJis+QJI5YOnOMR47eT3dTLNVxY7fRmGD/dYfYu/8G\ntm3fyYwmvtlUoyLu2Up553SrQnAt0rjn7/D1HfdTk+XrLE0PSpLp43clYfm6qGKAQtjl16CXlXva\nALQ0AxQJ+pBEQmpifmV6JeuE8g7tWOk9WlJ1+eGe4DKMsD/4gz/gLW95C29961sB+Ld/+zf+6q/+\n6ooO8nLm7lf/K3fsepKhq8eowSuGxgSbvsf8uQUIWRgNY73vQ19wbbdTRQPLccpvqa43LD9meXrV\nsPPbZ8p7BFVVvDHd/nQvqNQ/nvaop04VccViVBJBVjHadBX+yrqh5PJkgVdrgJMBW0cEa1Kft7Ej\nFt95wVQ2SpmlCUm/lcd2KxrUajhJVigsBVgS2/VAUriI5W4+oxGNofuWGrqC/QAoRiNBSimykuus\nRiNMCiEtlMhIGYw6qwSiaFepPE+ZWvdJ1z02nsp3LKziIxHIvPIXsjioBFvkH2Xn1yGOyWRh7Cqw\n8g5WrDJ3JyFy405Iup02sePguh7StlGWjXBchOMUBt+wUZCRpVl+LbLcbSR3L7kS8/elzLAxa4/1\nkhadAsgNL48YNqZF3mh2bIthw1qI9d5Hq7gHYvTA5MupStbTNvRWCtpJf8x0XG9Mn+4VoTKGDcNR\nQ1piy7HezbHG35znMNbVMUoHQTdeP0qGNeoN7xZF4cb9bTQExo8PgvnAhdH/bOzp9q11FVg1Mj5k\nHoy26KBQm4ySk52o9Hw8OfZ/So7ykAcTHzv+mHFyXbO25fggONuLR8YHo5os30fTsTb877BH2ZHr\naeP5Bhgk6w398XWvmWlo65BYM+L3/5y5WJoO+jqxajTwP86WqwLrRu90QeMBahrp6nNjjW+VhKhT\nj8CFZ4H9V7wvyEWsStPLguQ+meFOrHHLnT9GfWZ+y+rN59m+eIYzj95Hu30W1xOk0iGxwg2f1M6/\nY2tAYg1Ix+pBadlYrodVeKbke8/d/ZRSqCwjTWPSJCbLMu1ItZP6WC2fmjXFrl1HmJncR92aoWbP\nMOdvo2HP4JSoG+tGd8dRSnHxwhmOP/MEp48/g1XRyBZCcsttr+fIrW/Asl8wyQXDy4hLPiU/+ZM/\nyYMPPsh9992HEIL/+l//K3Nzc9ciby8JGl6PbbUfICaUGVX8AREIywHLQbg1UFnuipnGkMQ8nz34\nQuZuCGXGsZQWXr2JtB2te9LzhbRsnPp07p4Y5z1P44MblhCQgooyHL+G49dyv/JN2RofepfF+tw4\nU3kPLBn9JF1PV8O1ikwp+lFEFg/I0rhIzdfLYq5dpobuJGo0JR7LKQyk/GdW9I4O87Ohl1MpsjTN\nP+TdnhnkjT0piZQEaeW9uBQOcuM9u+T5Hg2uAZ5toTIXv91leCvzkUqwUFhKkiSKOFFYqUAkCpll\nWKlCpikySbDSATIFmYBMBDIR+MpCCZsMFyk9lHBB+CjHI7VdUtvDrjfp+ZO49Qm82gR+rYEXTGC7\necM3zNZbGKMeeCVQUUS3tUK3tYZSilpzmom5XVi2U7jtbG7kCnbV/LF7PD5yIFiL1JbjoCRv3pHP\nmRQbDKf8O0kUQqw3lIfrklQxbvisG09wg8YFo18xl2+yWd5b6WliGT53Zq00HeALJ06Vpn/jrH6b\nmsbl7fCUvid5UXM+url3Vby6oid3QnMNWpH+OMe65b3pNU3j03P0cwlDVX4NOnGPxVPPsnjqWVCK\n+tQsjZntNKa34U1Nlm4jK8Z3M12n0CsgYKxS652KrJ5Dnfxe7oJ4CYQbYE/vxJrZiXD8UaekSmMa\nvkDFEXF7mXjtIirVdwYqMvrd8zz8rb9jcv9eJg/sJ5UDoqxDlHUIszZR1qE3WKS1epJBskq6PYLt\nelfeze6ItuNgOx62663XC5sYGsierFO3Z6hZU7hZjSC2ydoJnXPLOLGHm9ZwUh857IwAOCVwdgW4\n03W8qQb+bB177LlWShFHA/qdFqv9Dv1umyQK89hdlo2Ukn4jQEqLfr/LiWefoNteN751I0Szc/P8\n6FvfyfSMZoKiwVCC1gh74oknOHz4MA8++CBCCHbt2gXAyZMnOXnyJHfcccc1y+SLmXV/4Bdg32O9\nlwCpyhuvSlhkjDVkx3oyPeGuuwOMbW9Ja73Hl40uE0IMXSHWe3iVEjhyvOeWwvUg3+ZiO9qQv+F3\nHIbFaIAsGteiaNDnIxbrvc5j32myvg1DNwuBcmtb9j88t3rgbfDFzob+wkVDUSmRjxitLhKtLpCF\nfVwpisb5mPuIojj/dR/urHDjkLbDtrmdBFPb8admsRx/dD0mHUmWZqRJ7rdtuzXo5cdeHuRp4/7C\nCskTi73ROeTXWo7d3/X7nA1HcxDM1b2N+xq7b0kGvYUzrD75AMmgP7p2c54zOjfI45LtveVNuHP7\nxhrlG5/bKa/cF+7pta2NuGTQY/np7/LME4+UGqR7NsUkUSiC2Vl23f4jXMwyMiIyFZKpiJSQTIXU\nnZRUDUhVuOGTqAFKDRh0lwijNbAyhGeTyZilXqc0z1VMBw4oxa5zWwVSxkc9B1nGWpYWzcGhY8sm\nBOAUn80U/24lAmcgcGJwzgrsWGBlRfgCXCQejqhR86bwgln85na8qd0MREC/FdJfXkOFmxtha0jr\nFDM79jK/7yBzu/ZvCcKZoG9Mx5qeXMvSK2xKjVLVUOjB8MojjiNOPf0YRx9+kKi/7jq0cv7kaLnZ\naDAxs52Jme3M7txH0zRQAVDRgGh1gWT5XO5WXyi0qiRCVQj+bGByB2JqJ0zuoD6/rSjSExR9Mvrk\nXVYJNDIUMULZWNkE8WCJuH+R1WSVKF4jEyGZFZNZEUrmZcNwjpk4JZHDUf5Rb5kiG3qc6KeN59sj\nsGyn+NhYtoNtuQTWFDVrCks08a1JAmsK35oiKJa3+TME1hS23OiqNlOM+LVWFnnkvq/TWikb6VQs\nnX2OpbPPAblgiGW7NCZnSNOEfqdFmuTXWKdOeE7T4VGGbdvccsePcMstrzVTdQxXjPZJ+9M//VP+\n+q//mo985COlblzf+MY3XtCMvVT45++/hXuevZMMWchvi/VeeFWIyCpBhj1mzKwbFJmbu3is+5XL\nkYGAzrXvMoQ5NvNSFuYoY/tUeY9xmYuJqivS9CLu8nMMLpzYcl0tmccjsYIGll/HnZzF27YHd3KO\niek6IaxPyypIRdHyHl6isfUXo/Ke8TMVwbV1nby5GEQ5SaYQs5NM3nmQ1acepHPyKUARWRutgqTd\n46lv3kN9x352H/kR3FpTu88q0jhk5dlHWT32KCpL9e6yY7j1CWb2v5rZG16DlBYtTQNjtkIB0JUC\nSh7rLz1+nnxuXYgSYfE9AEKkjFBigCLcsH5XYGMNVji8dJ6+ndG3FAM7o28rEkcNPcnwpcQVglaW\n0a8S3LkEqaVILcWguI35FUsAzTOfAIvF/wqBakqcmo2d2lipi6U8bOUjVcD55RpPrtSxHqkzM72P\nqcYOnMzHTl0WXYc0S0nTBNt22b5jD7v23YDjvnBxdl4IsiwjSRLSJCJJErIsY2JiwjR2foj0ex1O\nPPUwJ59+lCSOiSpG4qJ+j8Uzx1k8c5xjj3yHidnt7Dl0hN0HDo5c0F4JKJXl4VZWzpGunCPrLJPY\nEoUCmaKsBGSCChKUHYKVgJVu+s6XlW8hpmbAW0SJB4EBy1ZUlHVbR7l64aZ3xQaahZqhUmRhRBqW\nl0cqywrBoGqs1MXLPOzUo+7PMtncw0RjJxO1HUz5M/jWBIE1QWBN4craqE3Z1gjrNMtcJceYmJ7j\nR37i5zj2xFGeffQ/con4CtIkYm3p/CXP40rZsXMvd775LpoTU89/maQUMhxgddvYnTZWt4PVbcPF\nZZxeh+72XSzc/iPP7zEN15xLqiMOBgN8379k2isJ57/8H+UrqtwlquZK6dAaWxW3TDPJEafifmnm\nmF23W98z/ty5ciOM1bP642hcD7TXrcII85rlbi6v3a9XoTm7NiCLI5LV82TRAOnVkH6d1aRwZyzJ\nx52a/Z3v6nsrJzT++WfX9BNaJ2vlRsi8Jh3A3VTo95YvcP57/w69cncrRwqkZbPzxtuZP3hkJJ0P\nFHNBtnKsNSDLUpaOPc6F7x8lHZsUfKpVfj7Cb+Bu34+zfT9WY2bDda1pRtxu2643DHW9lf/jUX2l\nune23Ei/cbbO3rPH+PCnf3/LOt8SDCzFwMqNstxIy3gyC7k/7dG2UmIHksJgy9x8OXYUsa3GliFx\n8uXNPN+OqvmlESiZq1QpmYuK+HgEmY+Hjycb+LJOzZnkuvkbeM31r+Gm/TcxV59j2puh5uTljCBj\ndXWF5ZVlwjAqwozkI8X1mjsKOzLRnGBmZoYgCGh19K5StqZzp1/ippemKWfOnubEyeMcP/4cy8vL\nJGkyiis3rrToeT533HYbb37Tm3n8pH409L8/Uz4f6Fvny+f1ALQ1LoQ3aDp9ABb65Z0uVe/uDs1E\n/So1v35S3mCt2qZ03g/6Rm6/RJlPKUXUXqXWW6R98Sxr509siPdXNXdYpyrZlw6zB25k7rrDuEFj\nw7rNSn9KKZKwTy3q0O+sMui2sR2X+tQcjZltOK6vDePwXFtf5ury9r0lvSDAuIupUhkZIZnq0Y3a\nZMUIVKZ6xXefuhfTWz5Bb/VU/r8yQcl8TmosYrC2Sqdr7QkBOEFel2+65LqOVKholowdVqUJ2aCL\nSlNE6uAqD5k6xcfNP4mLp7zRbyvxsIplgaQ+NceOm99AY9vuDYfZU9d3/HQ0apMdjULkRMlz21tb\n4rkH/xXRKZ8WUrf1Bl1Lc/yqeYH7ppvsv+5V3HDoJma37RjVb7mIVwlKMUeMbLewuh1kp43VaWN1\n2zTTAbLdQrTbyE47X+7ky6y1iikVGxkeb/Cjb2Pto7+zYV2oOZ9pjZt31TadivmMOs5p2gRPLeuF\nLKY17aXHK8K56GTl91WEZtHd0idXNR2iQKIxj05V1HtnN637b//5dl6/V9+WvWRX1Jve9CYeeuih\nS6YZDC8FpOPibtu3IU10LtP940VObWaeA2/9WQbHH+PC94+WBkbO0oQzj/0HSye+z95b38TE9j2V\nctHthdOcefjbhB2N0V0g3AB35/W42/cj6zOV+/xh0+yUN8IFgiAVBKlkeuyROJh6vEs1OZFE4aWM\n6gAAIABJREFULKUpnSylk2XEEjqbRsoE4AlJw5K4AqQtWbUSLsqE0FGEtiIqDLTYWV+OXEXkZPlv\nN/8duvn6S6MQhXuQKOqmmAExm4zxvuDhzv/Hl56TCGnhu26htGrjph5O5uOLOoHdJKBGQECgAgJV\nY8KuExBgj1UZvu8TBE1mZmaYnppmenqG7du2Mzs7i6UJjDnKsVK02y2On3iOY8eOcfzkcaIorJTa\nHhKGA759/30c/d732L73NRy+6VZsMwn+eSVsr9BbPEt/6Ty9pfNk8UBr0F0NSTjgwlPfZeH736Mx\ntxNpOwgpEUJiWRZCSrI0YdBZI2yvkSaRdr6eX59k9/wOJma2MTk7z9S2nVdU/mQqIcw6RGmXMOuw\nEi2SqA6J6pKoHonqkKoeSdall3ZJVZdM9UjV0OVPoxSLYnWlR5oMoFGy9grmDgvHRbi1UtGjDf+H\njcBH4iMIkPhYIkAWy4IaUgRIaggVFMsB0qoh7IDwzDEGxx5hytWIlpQYe06twbYbX8fc3oM/lHK/\nNjnL4be/h8GJxzj15HdJ4xegPhcws20X+3cd4F3X78OPBtgXzmIf+z52r4PTbhEMuvmoVTcftbKH\nI1i9LrbGm0LXUQXVQYQBZFvvWWN46aCtuc6dO8fZs2fp9Xo89NBDKKUQQtBqtej19BaqwWD44SEt\nm/kb72By13WcefibdBbPlf7foLPG09/8F4KJabZddxNzr74pV1Mcru+2efa73+LYs9+vPqDt4O+7\nGX/PjQi7iKn2Ilczf/KG1/CH//sf0+ysMdFZZaKzRrOzyg1Zn3prlVp7hVp7lVpnbSRD7wjBQcfj\n4FiHe71olMZKMVAZrhC4xRzLzb3siVKspCkXujFLacpimrCcJqxmKevielsvXCYUqQuNQNIMLLpu\nyjMyouVmhF5G5OXG2sDLGPj5d+gqzaBzEQIgy1Ak9MdGNbf0/RcjahRy/aT5t4tLjRqBrBMMGjj9\nGsGSj69yg81XPjVRZ9fMLvbN72XH/A6mpqbodrqsrq2ysrLMwuIya2urRD9gY2kw6HPft+/lsUeP\n8rrX/yg3HLzxRW38vxRIBl0uPPJtuhdOXNmGAqZ3HmByfg+9tSW6KxfprS5dcjOlFO2LG70nrvQW\nDrprnD/Z4fzJZ8hICWYnuP61rwUfTvWWckGJdKOwRJi2SVSXMGsTZxvbM72KYMlVcb82nRlpr43I\nLj2aIDILkdmI1IbMhsgCXETmIewGsr4Lac8hMp84cUD5CDxQPuAhlM/8xCQSDyG2jgjaGiGJLeW0\nBbV9R/C2HSA48136C6cr8217ATMHjzB94DDSsn+o756UFvtvei17XnULndUluqtLdFYX6a4tQ2eV\ndHxESWU4acqE4zLnOExIi2amsAcdrEEfOejhhT3koI8d9tmRZtwsBLPRAKEUNc3IWqX47QugjCs7\nxgh7OaA1wr72ta/xt3/7t5w5c4aPfOQjo/Rms8kf/uEfXpPMGQyGq8OfmOb6H/1PrJ55lnOP3k88\nKO846bdWOPm9b7L61APM7z/EzusPs7pwluOPPZBL4GsQUuLtPYy//zVI96XlmpxZNitTc6xMbVR5\nvXl6o/uvSFP8XpuFs+dpdtZGRluzs0azvcr1aY+gtULQWqVZ4jYyji0E22ybabmxAldK0ckylrOU\nlTRhJU1pZSmuEOywHXbYNtttJ3fJjIE47yE9ncQ8FYU8G4d0N414ZkKRBoK+lzHwVP7tZ/Q9Rc/P\nGHgZ/eJ3389IZUnDMss2+kUVDayILhErbBgXLQw2NW64LUmsZZvgiRqeDPBlHR8fT3nYmYuvfDzL\nw1MeLh6ecnGVh5ebsZXXcjPtdotvfP1feOThB3nDnW9h1+59xhi7QpRSrJ1+hlPf+xZZcvnGsbQs\nth94NTsOHsFvbnTdztIEu7dGe+kCF44/RecyjLJRflBkMiGVEakVkVkRoZuQyJDUikhlRGJFJMV6\n7IhYRkXoCfi3pz9LvTlNXPEsPR/tYil8pAggC5Cilo82ZR7R2TPY3Rl84SIzG5E6yMxBpHb+O7Pp\nM4k3vR93djdWvYmwHITtstApKUuKEe5MYyBa4vkrg62gyc7X/wRJ2CNqr+ZuyMV73XRtKFQEnVrz\nh/qeWUmM3+8S9Dr4/Q47shC/18HrdfD6XbxeB7/XYTLsMWgt02u3qPW7zCUxdSERQmgDjeuCjL+Y\nkC29yqvhpYPWCPvABz7ABz7wAb7whS/wcz/3c9cyTwaD4XlACMH0noNMzO/jwpMPsXb88SJO2Fay\nNOHcsSc4d+yJS+2Umb2HmL/xtbSXr2Ke40sIZVn0m1Oc2+FRNp74+uE8NqVw+j1q7dwgC1orHEx7\nuGsruGsrOMW3u7YMnY1jTkIImpZF07LY55TPa9nsoieFYJ/jss9x+SnZ5HQSczaOSckLdEsIao6F\njUBGcKIT8fhgQL9kiFKRz2fr+blBNvAzemMGWs8vDDY/N+ayzd4zSkGaQppuae5mQJeVfJRtLN6a\nkmLrSFthxElh4eLh4uIqBwcPX3jUnRq+9BCxxMokrnKwcWi5KZaysZVDa2WVE//yLLt27OV1t7+Z\nTDWRwrgpXop40OXc975J+8JJsssc6bFdn23X38S262+mXts6dzmPF5hgT7o0mnM4++qsrZzm3OnH\nWVo6QScbkMmY1IrJZJR/WxGpXP9Wm4KKVxlNm+elqSyj217FqU8gZLUbpUDiyjqurONZTVrCwxZ1\nbNHAFjVsUceSdWxRoxf7WKKGFHUsAkQR3LdfzFFJwx5rD92D7ObvcmOTuFVtfh/B9r0Ec7tYiHVz\nBq98Ls4Lge3VsL2N99avEOu6KpTCjiOCfic3qAqjim6HoNchGHSpjX03ox5Bv4vf6+BsGknXxfR0\nNhuKl3geXioIMxL2suCSNdQDDzzAXXfdxdRU3su1srLCn/zJn/D7v791YrvBYHjxYTkuu468kV3X\nv5qT3/uW1kXxUtRnd7D7ljcRTBaCLcvV88ReMQhBXKuzVquzNr8HgNpMvfRfl1bbeK1VvLUV/NbK\nhmV7dRm/VaS3W2NR06oOLdjruOx1Nk5+98fm79zsB7yrOcGxKOLRQZ/vhyGRGgaxELiJwO3AdMdi\nwrKYtWyahTulKmKsCQkpipaTccaOOW9HdDxFz003jKoNxkbfEmt85n9hrLHVWBsiEXhS4Fk2nusi\nbRtsm9C2iR0HbIvUl7TDAb0wyq/7REmnQgSfuf//IhIWftDEdetYwkEKBwublRCEcJDY+RwaYRVz\naWzidBhkWiKwyINJW9DxgNxIFFjFNnn8tXasiv8TCIqA4QiUdEe/hzHW8n0KwB2lyeG2QtCK1ChO\n23A/w2DUYao2/B4yKOI+DUcQ1VhIBUsO7+Mw2ELKMDy7UhntCydYfOa7JGkIdUVCmq8VCiUylExR\nIgNLoaYmcOs17EYNfDjNfZzo3ItqRyRqQKJCkiwkVn2SbIAi2yraMQNqKqM/6JGEA22n0GYEAsuy\nkNJGWLkScZYkpFnKuBuvUAI787BTFzvzoFtn5/5bCLwZPNnEs5q4soErG0w4E3iygSvrxb3IqRLm\nUJm+4ynptlg7+j/JBiXbC8HszW9kYv/h9bQKoaaXHErhhX1q/U5uSPW71PpdgkGX3ekAv5+PTgXF\nKJXf7+L32jjdDnaJx0Wq8WmvEoF5pSEGfYhj0HTeGV4aXFId8bbbbuO73/3uhrTbb7+do0ePvqAZ\nezFj//wflKYLV6+gpVMgVKne9UNI3ctVdcs0hVSjXLoeAFujKKNLB1gp9xdXfb3ymPDKG6baSURV\nEsZ+yUxnwJnQKzrGYXmlt21ar8znaiaDdwb6yrhMJh9gpqFXieqG5Wo/sxXb/OeD5TF3ljRqaSfa\nA5RStM4+x/Jzj9FbvjBa5+mCt0qJ4wfsP/JG5vYd2uB+sqAJUrtWodb2jEbxaHNssXEmNepJT1Y0\nltY0yk6DWN/oCzS9vDfMlauUXtfU5/ltO8vVO58qibs2ZPuYwptIU/zOGn5rhVutCGd1ufis4Kwt\nY6+t4Kyu0OytQbL1ers6pS7yOWzfHwy4kCQ4QjBrWczaNtOWvbXXuCBJN7k8KkUry1gII1bSlOU0\nZSFJWEgSukXDOrUpjLLcMBvOXYt8xcBVRF4GPjieQHgQuYq+XV4WbBYxiJWipRQ9pVDF6JoScuOy\nlCghsFwfN6iPJNGrmv26Jp5OmVABaZKQxSEqSxHSQjgu0nKoV9wD3YDTIK2Yj6QpJ6vcN8fFLFRW\nBD5PE8jy73RTA3g8X0JIHC9AOg7SstFNlQo0ZSToR6/yeVeqyEtuNCoApYqGtsLCxbWa+M4UvjvF\ntDuJJxt4ViNX/LSa2Mon6yTIXsTC958h7ccbrkc7TvEbkxx+68/gBhvrnzKlPYBvXtDXYcP7o7KM\nuLNK3Fomai2yenGBtL2ch+4YI04VCEnt8I/ibN+/YV1fo/CmSwd9fTTX1NcTuvqoLN1KU+phD7XW\nohYNaIY9GmGXZtijGfbYQUhj0KU+6NEYdEfL9bCLrZF1rJpHp8vbZsXIIZsVgcfRKX5ejdnWr3gP\ndadT5cKoMx51ddtwf8p2SJtNssYEaaNJVm/gzE6jmk2yRpPez/48jIWx6WqUWmXFMHJP05Z51b5y\nRb+lijpMd5xvP6t3RT6mUTC953S52iXAkibPr9tW3i4E2FUvb89W3bfvLJSPNuraPgAnFje2cf7H\nB9/Am67Tt0svORKWZdkGSfp+v08UvTzU5AyGVxpCCCZ3X8/k7usZtJZZOf4kq6efBlVW8Qt2HjrC\nnsOv3SDaYXjhUZZFf3KG/uQMrQr5/kM7Goh2C7myjFxeyj+rK7hRBxYXYWkJlhbz5X5eOThCcHMQ\ncPPmY16BoIoUginLou56XLdpXSfLDbKlLGMhiel0Mxp9yZRlM21ZbPMcZiyLupRb5pQkUtG2U9p2\nSsfO6FgZHTtlJUvo2hkdO6NrZwysjJ6VcSKNeI4oDx9gZ3lcNluRWJDaedw3xdpovppnOTi2DdLK\njTQpyQqDLSv+Z/hbSYtMyC1KEYpc0juNQ7I4Iks3vTthH6TE9n1sx8OynatrCV4NKkNlKSpNUVlG\nKLKR8TXe33qpAQXb9XCDxoYRoisNsGBLF0/WcKSPK4PC3a+GK2ssDRxsEWDLAFvUcWR99L3Nn8CV\njS2upNt1sQQncpGcA7tu48Gvf4l4U8yrQWeNJ//tn7nxbT+D6+tjbFahsoxobZHWhdMMFs8QtZZh\nzOBKNDLfwrKpveZt2NM7r+q4V55RhZdENMIetbBPI+wxEfeL5S71sE897NEY9KjHAxphj/rwfwdd\nvMLFT6fMp3P5A65cUeUVROK6DGpNwqBOWGswqDUIgzo37J0nrTdIG838U2+Q1vNlf2Ya5XpbrutU\nhdy84aXHJY2wX/zFX+Suu+7il37pl1BK8elPf5r3v//91yJvBoPhBcSfmGHnLW9i/qbXkyycYPG5\nJ+it5rGVGnM72XvLm5if2/5DzqWhEiFQE5OkE5Ok+9fNoamyHsFeD5aXNhlnxffSMG0JVn8wN9OG\ntGi4Fq/SjK46FSMnjhLMxDYz8caqaaAZKV7sxyil+H4c8u1+j+WxhrEgFylJbEilIpO5YYaEnZ7F\nfs9hm2uTydz4SySkIiORabGsSIUicmzWLItVS3IiSzivYvoCEkuSWAGxlKSWJLUEiZRkxXLg2blh\n59j4jQkc38f2fCzPJVWK/C/NRSvJ3epWw7yHVRVKDIXjIABRloLKf6vh2jhExSFZNCBLwg3d9LkL\nnzuynYZujELlTpLrv2XxESjpMLFtH0FzFilsLOFg4SKFQzcWSOEgcLCEhyU8pHC5cWoSW/g40sMW\nHo4McGWAFHappDnAw8v6UWz/KoM41ydnuOPH7uahr3+JONrYu97vrOaG2Ft/+rINsWTQo3/xNP2L\nZxgsnc1jTF6BrLx0fOo3vx2rqe8FL90uS6nHIY2oz0TUoxH1R8tTyWD0uxH1aRbrZ7MwN6yiHtam\n0Ti9aWSMpisl8gK6fo1+0KAf1ItPg0FQRzWa9GsN+rX89yCoM6g1GPh1GvXyZ65xnd5DyXPNfNZX\nApe8y7/1W7/FLbfcwj333IMQgt/5nd/hXe9617XIm8FguAZI22HuwI3MHbiRqN9FZRleXT/6YniJ\nUqvlnz17S1ePXP7iGJaX1w21pUUGp88jl5cRy0vIlaX8e3UFrkBJ74VCCMGrXZ9DjsdTUci3B11W\nC9coqQRuDOMNTgV0yHiMkJqIuNH1ucn12Wbbpc3SpTThm90OS3HIbmD3pvW6drlb+LkoIUlsh9R2\nSGyHzHGp1xo0m1MEzWl6tkNbCDrAqX5MV+Wx5xLHRdUmUfUmVtAgtDyk50OWEa5cIFpZQKVJ5TwZ\nXRD2smC0c/sOMnX4jdheuZvthV75vd4VaNzMfwg0pma5/cfu5qFvfIkk2hg0td9e4eGvfo75Q0fY\neegWcLY2jLM0pXv2GK0TTxCuLFx1Phw3YNfhN+GlCY0Lx2iEfepRPjLVCHvUoz5eL3fz22BUhT38\nqI/QPFO6W62ToTeUE9fqhLUmUa1OVGvkn3qzWK7zrHJHhtS4UZVZtjaEwfMZR8/wyuGyTO13v/vd\nvPvd736h82IwGH7IbJ43YXgF4jgwP59/CgarJfMAsoyLx89hreaiItbKcv69uoy9skyttzZykxRh\nuHX75xkpBIc9n1e5Ho9HA+7v92hfQvihpxQPhX0eCvtssyxucn1udH3qUrKQJNw/6PJMHBFr5rtc\nDkJlOHGIE69fA7V0gS7r8dksYBKolypYChLbIZQ2sW0TWw6x7ZBYNpHtkNousW2TWM6G9bHlYDuQ\n2jZKMycZoDY5w76bX8/s7uu080lfSjSn57j97T/D0W98GeKN8zPSNObskw9x4dlHOXj4dnYdOoLt\nuESDPuePPc7ZZx/j4uJKrtqXJthpjJvEOEmMncRYcYSdJqO04UdGEW4a00gTbpQWb7Idag9/Q2ug\nA1olyisYbHtFkwlBz6/TC+r0/DqzczOE9QZRMDSqGoRBA9WcGBlXUb1J7NdQRTB5nSTCE6smFq7h\n2nBJI+zb3/42H/7wh3niiScIw5A0TWk0GrRa+smrBoPBYHiZIyXp5DTp5DTR/uu3rJ6ZLOYuKIXo\n95DLy8iVJebSXu4GubyEWNrkDtn+wesVSwiOeAE3uT6PRQMeDvtc3Dxvq4SLacq9/S7/q99l1rIu\naxsACey2HXbbDueShNNJxOVteXkIFE4SYakISmzZqjEQpxjxSi0b4bpMBA0atQZTzSnqE9MEkzMI\nBfEzjxKeeY6Lls8gqBF6AQO/xsCvEfo1UvulpcA2MbOd29/yU3zrX/47YtDFSmLsOMZOotFy8tRR\nFjPFXtfl4soitTji1XHEDWGIncTIkjlw4212X0i2WRbbLJtZIZmzbCZsx8Sou0JSadEN6nT94adG\n26vRGfs9XK5NTdINGvSCOqHr53M9C35s11Tp/nUusQbDi4FLGmEf+tCH+NznPsd73/teHnjgAT77\n2c/y1FNPXYu8GQwGg+GljhCoWp20Vifdsxfm1uerbW7mijjKjbHlYn5aMX+t8+wprJVlZDHKJtdW\nEZcYnbKF4FYv4FYvYCFJeDwa8EQ0oHcJBZIMLmmACWCP7XDQ8ThguQTDxqAHoco4HkecVjHH45j0\nCgUtfhBsIZgQkknLYlJazDs2U9JiSlo0pUQoBd02Vq8DF7Yq3OrmPCWOw5oTMPAC+n6N/vDbrzE7\nM0VUGGthUCcMasReQBjUUfVcgCB13CsXbihiSPmDPDbUjizCG3TzQLzFx+338AZdGmEPt9/DHab3\nujhhn5+NIr7UWWNQcs+H8fdawPgMykjzXDkIdtkO+2yHvbbL5JiwTPoDjJS+XIgtm25Qp+M36Pq1\n3IAK6ixZfm5Y+XU6fp2OVx/9tiYnCZ2t4hO6keedGvdag+GlymW5Ix46dIg0TbEsiw9+8IPcdttt\nfPzjH3+h8/biRdMrqNqL+m18zRybTF/ZK03no7AqCiJdA6NCOl4lGlehqoaIpZGD1UjHVx5Hg6ia\noF0SWwQgbi1f0TEAOgN9aIGDO8rPRyeBDrDWKZdwXV7r6DOhCSB5saXvgf5GrXzdzdPlLoX7GnpV\npSOauFYrFe5JdY0P/LNKL2E7pclzUtEwntJMUJ6vOJ/zq+Wyt2ttvZuJnCy/Bl2N8tk5zRwZgMc1\nUvxTFZLEN0yVP4e6RiHAQCNnffKc/n2v+eV5eKZim1Ot8nfXq5iLsqi5Pt2+/pmK4hRwwd8Ju3eO\nJmD9/a4LG/5PpCl+r41YXqLeXqXRXqU+/HTWaLRXmeu3CFqrWEnMTtdhp+vwdtXgeBzxeDjgmTgi\n22Qg6R7DYQiHQEhe5wcc8QLqheEVbjJc6ljMuA63ZopIKU4nEReShIU04WKa0FGZPipHhaFStsYX\ngn2Owx7bZY/tMGtZG4J7l839Akg0x9c+a2HIRBgx0VnbsqpKMG+oppdJi7AYWRsENV4rPfp+jYEX\nkFg2QdgjGPSpDbq50RX2qPW7G2JI6eTMYet9i4vPTtvhv0zM8B+DHg+H/Q3hCXTnOi6pPi0tDtgu\ne22HHZbNyLs1g3Bs+0wnaV4RVwzrykPQbA7VMMoz+vlIur2VxSFUQtB1fVYsn7Zbo+P4rHk1Wm6d\nlhvgzEzR9mt0vDodr0bbr9H26nT8GqGmXTLQlJ8Abk8BW8vqiaD82jxyQV+H3jJbXldXyZY/qhGI\nmagQxchU+T19qsKF8Xy3vCysV4gU6erXqEI+/2rciWPNM3XgdLlA05v3lI84ApzQyNc/UiHEoxPp\nOdPWtxdPLpZf6yojPdKc50RFAPKTmjw8fV7/HIbtjdctjquDr1/SCKvX64RhyK233spHP/pRduzY\nofWjNRgMBoPhhUZZFv3mFB1d5xawv+GBUrj9Lm6/i1OMlNSiPjt7Xebba5w+c5wT506yvLaMTGKI\ncnc1K46wkgQriRAKGkLyhqDGEc/HrZhftRlXCK53PK53xmL5ZBkXkpgLaUI3y/CEoCYldSFpWBZ1\nIalJSaYUHZXRzTK6KqOVpnRVRqYUM5adG13Sekm4W8ksJei1CXp53J3ZtKoN8fy2L+pS8vZagzv8\ngO8MejwWDi4ZafN62+WI67PTsje4F8bXcFTzakmkRdvLXfq6jk/LDei4NTpuUCznvwe1Ol23MLa8\nPK3neGTSYqVb3nDcO1sRC/XFf2kMhhcdlzTCPvvZz5JlGZ/85Cf5sz/7M06fPs0XvvCFa5E3g8Fg\nMBiuHiFG6mdDNhste4CptRXOPPckx555grC33jPr1xrccPAmdu/Zx1IU8c1+D6cw6JxBbtS1V9dy\n97hBH3fQwys+stvBH/SwNnkU1KVkv+Oy39naazs+ioUQ+Ejmio5aXbBmw+UxIS3eUWvyeq/G/cXI\n2DieENzs+txouTQ1ngnXip7t0XYC2q5PqxiRarsBLdvNDSunMKiKdDG3nY4b0PZqhJazwb1vc6D1\nIbrAzwaD4dpxSSPswIEDAARBwO/+7u++wNkxGAwGg+Ha0pic5tW3/Qg7Dr+OlYUztJcvUmtOMbtz\nH9KyCF27TBMDgOOd8jUrYbI+ryns4w+6+P0eXtgn6bRzt7vi44c9/EGfybiPP+jhDfL/9wZ9nPiH\nHwbg5cSkZfET9SZHHI/HopCuythjO7zK8XCEIK5w97pcMiFouwFtadFy/NxYcnzatjcynjqT87lh\n5dZouwEdJ6Dl1WhLi1RnBGpCQkxN613EDAbDixetEXbkyBHtRkIIHn744RckQwaDwWAw/DAQQjAz\nv4eZ+T3P1w5JXI+O69FprjeUV6PyuRsTJfNArCTBC3tErVZhsPXxw/7IgNuWhetGW7+XG3FhbshN\nxX2cgX6O5iuZacvmzYG+HzqyXbpuQNer0fFrdL2ABeXm7ntukBtOxWchk7mRVbj89exCbKKzot2/\nmNpRmq7S6jkkBoPh5YO2BPryl798LfNhMBgMBoNhE6lt07MnWC0JLgyw3deL9xxo+og0xQn7+dy4\nQQ+n32PQahdKg7nr5NCNsr28mht4YT8XxyiMPnmJeGsvVqKRGEg9FwYpgu6GfsBzyqXn1ej5NXp+\nnb4X0PNrPBvb9Dyf2N7qLqoT/Ol0TVwpg8Fw5WiNsKEboqGEUFPg1itcAnQuJVWyvZoJ4KpCcUkI\njRuDVokJvXJixQR0ITQqNFXzFjTqNMIrb1xUKUfi+OXpnl4Jiay8h7G/uqTd5LxGSS5MKholA41y\nTtW9DiZLk2caerWfc53yZ2raK7/XR2Y01xnYpVEarFIA9DXKeLvretXCtkbNb7lC1Uk3anBRozgF\nEGsm/ttuRd4G5cc5p2l4ze7Qv1NnNNdNp5oI8FRZQGRgb4UK5IomzwsV9013r09r3OpAr5J5e4Xy\nmE5167tntyrsDfmHZy6Wpm/TqKVFFQIPC/3y9/3RFb1SV2CXl5/XNTXlDXDDRPm6By7qFbQOara5\nfa6i/NKQVkT37acZ4EDDB6aBXIL/guZef79M3UwpvGiAN+gTDLqFa2Vv9LE3uFXmI3TDdaLXpT7o\nYW0qy7OKesIeU0FMpUXfr9HzcgNquNwfGk5+jZ4fcNH26Xr5uu5QQt8LWOjq65DS9z0u5kqllKoD\ndzTPlHbEq1Zerldhl8wVHOL45e9uVFEf3TBfrvpaVa6c15xnlatmX1O2L2iUVQFCTRD3laD8/Zit\nqA91KrbfW9K/76XPO9UKhBc01+aRM3p12UCjwKdTBgR9uIhd9YrnQ5a32fqJ/j1Y1dy359rl9d69\n5/Tl98VB+bXR3RuA2zRlXrvi+bxte7kg03/aN6Pd5kmNeuX//fh57TZnV8qvQbJWXk8BsLnD6lKh\nVCrXsh6s+fHHHyeKIhOs2WAwGAyGVwpCEHoBoRfQmtzayNFJPwOc6oSgFE4aUxv0qUVNrvtFAAAg\nAElEQVR9aoMedrdDLewTRH2cNKHv+nT8Oj0vwJ2aLEao6kRj8cV0cvug76jheQ2bbTAYDM8vJliz\nwWAwGAyGFwYhiG2XtYbLGvnIUFXsqDkTkNdgMLxCuCyN0s3Bmr/61a++0PkyGAwGg8FgMBgMhpcl\nJlizwWAwGAwGg8FgMFxDLjkSNh6suVarmWDNBoPBYDAYDAaDwfADYII1GwwGg8FgMBgMBsM1RGuE\nffGLX+T06dN86EMfAuANb3gDFy9eRAjBJz7xCX7+53/+mmXyRYdGul1Y+gnFSifPbutlrlWikcOt\nUInSStFH+oCdwi+X+1Q66foKrmqbRCNhWyGrL3THKYntMiIulxvVSvQDF09oJGS9ctnfyjxUSO5L\nzT1dWNHLXC9cKL+nT56dKE1fedWsdl86OfFOxQT6VsU6Hfc+Wx4OoD/Qyxh7XrlUbTjQ3E8ANC7T\nFe+oDp3c/cPn2tptmprQBvun9FLnz7bK7+ejFTLGOunfV08F2m100sdVssyLGunhky39PdipkVL+\nzoL+uj2pkZNe0Ig1LFdI8S9rQjjopLQB5ifL70+VNLdvldcHDUfvaHLDRPn9sSvCWPQ1eai6nl94\ncqE0fafmOdzX1MtC66TwH6iQ5q575dLcVTMajg/KpaRXuvogxropEqLiek5oAjW/epu+bHc0YTku\nuLtK03XXGeD4Qvl1S2J9uI7E0jTZdG0FYHp/eeicw9P6kCWv21Z+3/79vF6e/NG18jJ8uq6vx893\nyq9BLyovV+K0vG4DuF/zHlS9h2fa5XlebOvLFd170NaFL0D/fH792LJ2m+0T5e/iIxWhLxJdaBbN\ncwvglwSIB6hp0tc0dQHoy1ZdHQrwlCYsyEJFyBRdE/gPHjih3ebUUnn92lupkJvXycvr2pJlXGL6\nlvbp/OM//mPuvvvu0e8oinjggQf413/9V/78z//88jNgMBgMBoPBYDAYDIYR2pGwKIrYt2/f6Peb\n3/xmZmdnmZ2dpdvV98waDAaDwWAwGAwGg0GPdiRsZWVjBPhPfvKTo+WLFyuG7wwGg8FgMBgMBoPB\noEVrhN1555381V/91Zb0v/iLv+DOO+98QTNlMBgMBoPBYDAYDC9XtO6If/Znf8Z73vMe/v7v/547\n7rgDgIceeojBYMAXv/jFa5ZBg8FgMBgMBoPBYHg5oTXC5ufn+da3vsXXv/51HnvsMYQQ/PRP/zQ/\n/uM/fi3z95JCpXpFHVS5yorSpANglavGCFGenq/UDW7qFcFUolF6yfQqTSoqV7DSnSegz5vUnI/m\n/IsDlSdXqECS6lR9KtRrdOeTVNxrnQpixbXJ+pprU6WsI8tf38Atv27nu/o8H10sV1w6U7HNokZZ\nyqpQ79SqIMZ6JaRQp/xVoTZ5VWiew1CjQOjaetWt9qD83TmxegWqSpeBTlFxoULB6nVzjdL072mU\nCQESzXN4oKlXfws1ilivntKrsv1Pe6U0/ZmF8ufzxh3lyq4ABzXqb4uh/tpIyp/dQKPgBTDQqBZG\nFYpgJzXKX61IX+ZaGqW/QKPOCHDbrvLr04nL83xS804DtDTqbwur+udG6tT8Ksg01zPw9PvSliup\n/nq69mRpul1Rfv3Y/pnS9CXN+3b0nF458rr5cqU/nVpdvq78Xg809xNgLSy/BhWPp/Z9r1W8Bx1N\nmadTlATA1ZQfmjI/DvXPp66M0CmeAhy/WN6OCQcV7QhNGaFvX0AnLr9vep1DWGppVCV1in0AmjJC\nVChN6+prXXqU6I+vQk27sEIFXKdiG1bc6xOL5Wq5cVTRLtO1DavajLo2W0W5UrKTyrWVJaQQgrvu\nuou77rrrCg5oMBgMBoPBYDAYDAYd+i40g8FgMBgMBoPBYDA87xgjzGAwGAwGg8FgMBiuIcYIMxgM\nBoPBYDAYDIZriDHCDAaDwWAwGAwGg+Eacs2NsA9/+MMcOnSIW2+9laNHj47Sf+mXfon5+XmOHDly\nVdt/9atf5cYbb+TQoUN84hOfGKUvLy/zzne+k1e96lX8xE/8BKurq6N1f/RHf8ShQ4e48cYb+drX\nvjZK//KXv8ytt97Kr/zKrzwfp2wwGAwGg8FgMBgMI65cP/YH4Ctf+QrPPPMMTz/9NPfffz+//uu/\nzn333QfABz/4QX7zN3+T97///Ve8fZqmfOhDH+Kee+5h9+7dvP71r+fuu+/m8OHDfPzjH+ed73wn\nH/3oR/nEJz7Bxz/+cT7+8Y/z+OOP8/nPf57HH3+cM2fO8I53vIOnn34aIQR/93d/x9GjR/nd3/1d\nHnvsMW6++ebLO8G4Qh5TIx1aJVsupEbWUyfpnm9Ufpgq6fiBXmJYS6yR2tZK5ANo8iDKz1NoJNgB\nvXR7hdQ5mV5CVr+NRgY9qTjO1aA7TtW9rk+XJutkjBfb+uez3S+XXD21WPFstBbK0yvkaLHKpWWp\nCu+gCwdwFe+B9j0EsMvX9aLyeyMq9jWIy6/nSoXkf00TWsCrkKx+bq38PdxW11xn4AFNOIITbb18\n/mu3lcvaexVy3sc1+3tQc3zQyx/PNMrPZ2dNf563ztZL0y9qpNYBzvbK749fIQPf1YQw0EnXgz60\nwEyFDPuEW77Orcjb67eVS9Q/eLH8HhyreN/Pr2iknLvlYQVAW+KjlfkGrdR3v0ICHEcjQ64pIwH2\nzQal6a7UX887t5dfzxumyvf1F1XhOjTP+nUTekn1/3V2rTRdFz4A9PL1n76ov9exRr++Sp480Tzv\ndsXzGXjl729fV79XyIkvL5bXycuL2k309U5VCJorDbUD+vZC1TOtkaJXSh+aRWjqV2Xry8lE0/ZI\ntNLqFe+utp2rl2kPr0IGPtLdn4qwRvrQTvq8qYowTVqyTfurCinANR4J+6d/+ic+8IEPAHDnnXey\nurrK+fPnAXjLW97C9LS+wKza/jvf+Q4HDx7kwIEDOI7DL/zCL/ClL31pyzYf+MAHRoGmv/SlL/G+\n970Px3E4cOAABw8e5P777wcgyzLCMKTX6+G6+ofXYDAYDAaDwWAwGK6UazoSdubMGfbu3Tv6vWfP\nHs6cOcOOHTt+oO3Pnj27JX1oUF24cIH5+XkgD0B94cIFAM6ePcsb3/jGLfsC+NVf/VXe8pa3cNdd\nd3Ho0KEt+fid976tNH/3Pn6Sex87cVnnYjAYDAaDwWAwGF66vO3wXt520778x6ZRv8m6V7ntNTXC\nANSmDFa59FzO9rr/KduvEKLyeMN173jHO3jggQe0//d7/3ivZgdG58RgMBgMBoPBYHglcO8Tp7j3\niVP5j03uiCPjTMMLbjV86lOf4vbbb+f2229n586dnDp1arTu9OnT7N69+7L3tXv37i3b79mzpzR9\nuN/5+fmRy+O5c+fYvn27dl9XkheDwWAwGAwGg8FguBpecCPsN37jNzh69ChHjx7lPe95D5/97GcB\nuO+++5iamhq5Cl4Od999d+n2r3vd63j66ac5fvw4URTx+c9/nrvvvnu0zWc+8xkAPvOZz/Ce97xn\nlP65z32OKIp47rnnePrpp3nDG97wfJ66wWAwGAwGg8FgMGzhmroj/tRP/RRf+cpXOHjwIPV6nU9/\n+tOjde973/u49957WVpaYu/evfze7/0eH/zgB/nLv/xLAH7t135Nu71t23zyk5/kXe96F2ma8su/\n/MscPnwYgN/+7d/mve99L3/zN3/DgQMH+Md//EcAbrrpJt773vdy0003Yds2n/rUpy7fNVKnglPl\nKqlbt1lJZcNxdNvo1XG0aotpxTZX6BIKgE65sUqFUYdGIUhVnKfwypXPsCqU+XTuohXqTVe8LwCd\nok7VfdOpJFWp8wzapcnLuntwGa68W6hQo9KqCiVVik+aa1ClEqVbV3UPtM/0lb+jmUalqR0/v+qM\nbU1ZUKVI1gvL83ZuVa90eLZ55WJD/293uTT9PyrUCXU8eqalXTcRlFdJOrW2Z9b0z2dDoyoZVagW\n6jjR0V/PpV7581lVrErNyoZGIRNgQrMuqahDIs26kxqlw4VWheprqFHT0ynlXi26cqqqjNCowt1x\nwzbtJrrnY6FCaVD37MzVyuudHRXvx/0L5eX3rK+vwwYaJc41zTMI0Fm+qNmZXqUUv1wFsrJ+1dQ7\nSYVqoHadrg6pegaupn7TKWHq2hegVzqMK+pKXb1X1SbQqBDqVf7Qt7+q3tErrqsqrrO2LLryerdK\nBVJ7nhV1pRKa/VW1WXXrHP08L+Fuekcq1FbhhzAn7JOf/GRp+j/8wz+Upv/ar/3aZW3/7ne/m3e/\n+91b0mdmZrjnnntKt/nYxz7Gxz72sarsGgwGg8FgMBgMBsPzilGSMBgMBoPBYDAYDIZriDHCDAaD\nwWAwGAwGg+EaYowwg8FgMBgMBoPBYLiGGCPMYDAYDAaDwWAwGK4hxggzGAwGg8FgMBgMhmvINVdH\nfFkgNZetSk5cJ0VaIY+ptFLjFZKaOonQqrxpJUqvQgJcXYV0u1aeXS9Rqpxy6V+h9NKh2vtWIaGr\np0qm9WrkaHXrKnSulUZiONZI6CaRfldp+TpRJUmsu55V10YjNY5GBh5AVeT7ShFXE0biakI46K6b\nRkob9FL4/aTi+dTd6wpJ4tVl/4q3kRNzpekXPL2keXtNL0Wvo9fTnKvmPJWa1e4rsMvLIp3UO0DT\nKX+mz6zpr81z51ZK04WtL4sCTR506QC+U34+3VBfrvSj8nXhQHM+VVLWYa88vapcuYqQKcLWvDtV\n9ZEGnaQ7wI/OT5Smf3tB/9z+88nyUA3fvFC+zXNt/fVcbJc/0/94ak27Tby2WL5CFz4A9GVrlXS2\n7p5WPR+6+l0XzgbAusI6JLsKOfGqetdvlKd7Nf02mmujqq6NNm/6+kj7HmjrXX09TqTPm9Cdq64O\nq2x/VrVxNLu7mrBKVxOGR2namVcRVkm4gX7l5nL/EuWWGQkzGAwGg8FgMBgMhmuIMcIMBoPBYDAY\nDAaD4RpijDCDwWAwGAwGg8FguIYYI8xgMBgMBoPBYDAYriHGCDMYDAaDwWAwGAyGa4hRR3w+qVCt\n0a6z9GpYQqOqolWTgWoVRB1Xow6oVVS8iuNo1QSr1CY1KjhVSnqWTlGnQr1Jl4eqe/D/t3fvwVFW\n9xvAn80FQcGAWhIlscEQIPddEhJwxkCKAYVppFBBoFNulVaGinTqiFPaaX8OA+iIrQWnyliNeElU\nKkkdYKBegrTlkmSBNjAa6QbIhaDEQAwJSTbn90fKW8ju95A9bt5EfT4z/MG7e857+76Xk919XiHt\nUUlJdoC8PUPkDeqQUvvE5MrAk6WUlFwJwCHsN219Sq/pEoQ0x4g9hO2pSxczON7RIWzrtha5jbR/\ndMeBmNQl77fOFv9JnE3tmmOnQ6p3TYJVh7CtheOwobFJ7MotpAbeMkROqLxliP9Ew8+bNNtTSA1U\nmu15UflPqLzYKh9vok5NGylhTEpR06SUijQJqmIaaYjmHBEm7B/dsnX4T3+raZCPnX8KSZSt7fKy\nvV/lP52w85Iwnwtnxb7E9dQlr0nnCN05VzhPKfH4BBzStVqXPiemMJrcrwjz0c1fTLHVJQxLyXy6\nNGn//enSUKV7HOUwON4M0vx0x6hIui/TpQWL93gG9wQ64v2Crq/gpYArzb2po3tK5jXWj5+EERER\nERER2YiDMCIiIiIiIhtxEEZERERERGQjDsKIiIiIiIhsxEEYERERERGRjTgIIyIiIiIishEj6oNJ\nFycuxtdr4j51UaASMRJYE42ti+gU5yPEbuoi94VtIMZ9ejXLLEWqX2qW5y9F/4YGHruruseQXkmK\ndtXEvYv7R7PflLDfxOh6bay+sMxKXmYlradJ5Kwm3tcRLr1mcHyYHFNSFH2IJvbXYH+iU4i5vuQ/\nHr6rjRB9rH20gBQlrVm2ViEKXnfu0MVJy438T5ZqTfPYh0tN/vuqafmO2Ka1/Ua/05u+9B9D37UM\n0rnAYP115xXdIy4k4rlAWjbdMgt96aK5pXOB7hwhnafDNdHtFxv9Tj5fd1psUtoY4Xe647rrxTbi\n9aX5C6mF3NeX5/zPf4A8fynWXnu86x6dI5EixaXjEICSHouhuS8yuveQupJi2HXrL62n9CgAQD6m\nwv0/dqKrP//HrsPkWqk5r4qPNdLdSgnLIO41h6Yzk0cbSI8b0jGpG4NLvzgfzTIrb7fruOaYAfhJ\nGBERERERka04CCMiIiIiIrIRB2FEREREREQ24iCMiIiIiIjIRhyEERERERER2YjpiCaEpBtdYoty\nCGk7uuQeKVVIlyYjpdPo0mSk+WgTaKQUHDntR0mJQ9L8wzTpc2Kan2b+QiqcLjRHSg7SbhuH0EaX\nPifRJSpKyyCkF4kplKZMEoqkpCBd6pa03Jr5SylRUtpl1zJI+03azroakF7TVFunsK81yywni2oS\nmcR0K92yCec8XeqVWJ+a+Uj9iceh7ugVXmuTkw7PnRe2jSZ1FdI+6NScv6T10R2jXiF9zmQbiAzS\nEbWJn9K20dSnsJraNtJ5Upc+JyR+qnYhpRQQ0ytVm1Afmmu1Y+Bg4QXdtdr//YJDk1hncv6U9pt4\nDQc0+0CXzBzg8a67vkuz0B0Duuur2EY650qFCznFVrM+4jVMl7hpcj0IdC4m95I6Jve50nrqrkcm\nSZQS7TYI7D6Pn4QRERERERHZiIMwIiIiIiIiG3EQRkREREREZCMOwoiIiIiIiGzEQRgREREREZGN\nOAgjIiIiIiKyESPqTZjEmopxzZq+pPh6XSSx1EYXHSosmy72VortVlJ8PyBH+4dd53/+4XJ5itGu\nuhRSIaZVaeO8hf2m255KaiM3EWvKIKJehQr7TRf5akKqQ91sDKKHIT7aQFMfIVJ9BHkbSEz2Z6gQ\naS5NB8yinDv97zeH5ryipPjldk0ss7DcDs2jJ8TjWpju0D7iQzgO2jQR5FIMeocuftqgpqX56B5H\nIJw/9edpg8diSKT60B1TwvqI9QTAIW4bzbEjRYDrItV11ypJm/+Ieim6XnfsKqN4dKHNoCFiE+kY\n0T2yRLUL2ybYjwmQrq8mEeSBzgMApE2gW08pvt9kfxpE7mtJ9zLBXDaTfRA2QH4t3P/9H5RmmaVl\n0D3iI5htdOvjc8zrY/v5SRgREREREZGNOAgjIiIiIiKyEQdhRERERERENuIgjIiIiIiIyEYchBER\nEREREdmI6YgmdGk7gTJJ99Kki8lJWXKijZRIppQuCUlK4TFIGpTS/DTbWUx8CtEk9wjz0SWsiQlS\nutQtXRpUoExqTVo2XV8m89ElSEmktDBdipu0f7SJigb7QEpCMtmfwWyjTcjUJy8FNn+T5DHN/A2O\na3EbCAl8Sow3k/tySGmGgJxOqKl16Tzp0AQqGqUwSttGl45olrHmn5R0KCXpAeK1yhGiSfw0qWkp\n4VdzrTShxJRjKSlWU2vhQsJaa7PcRpiPQ5egGjbQ//RLTXKbAOcPQD6Hm6SESvPRraeUFqy5VjvE\nS7/muBHTOw2uhzpSwq8Jk3OuCZNERZPEZJO0R4nuHlyiqUOfc841zmf8JIyIiIiIiMhGHIQRERER\nERHZiIMwIiIiIiIiG3EQRkREREREZCPbB2EPP/ww4uPjkZaWBrfbDQA4ffo0cnJykJSUhOTkZDz7\n7LMBtQeAXbt2YezYsYiPj8eGDRus6Q0NDcjNzcXo0aMxdepUNDY2Wq+tW7cO8fHxGDt2LHbv3m1N\n/+tf/4q0tDQ8+OCDwVx1IiIiIiIiewdhO3bswKefforKykq88MILeOihhwAA4eHheOaZZ1BRUYH9\n+/dj8+bNOH78eI/be71erFixArt27cKxY8fwxhtvWO3Xr1+P3NxcfPLJJ5gyZQrWr18PADh27BgK\nCwtx7Ngx7Nq1C8uXL4f6b4LLa6+9BrfbjVtvvRUVFRV2bBoiIiIiIvqWsDWivri4GAsXLgQAZGVl\nobGxEfX19YiKikJUVBQAYPDgwUhISEBtbS0SEhKu2f7MmTPweDwYNWoUYmNjAQAPPPAAioqKkJCQ\ngOLiYpSUlAAAFi5ciMmTJ2P9+vUoKirCvHnzEB4ejtjYWIwaNQoHDhzAhAkT0NnZiUuXLuHixYsY\nMMBPjKxJhK4U0anrS4z3NYi118WJi9HYmjZSdLsBhxSfGqKLVQ0w7h6aGF9d3Gi7EI3d2Sq2kTvT\n7GtxG2j6E+O8hfeHajqTtpsu6l2MzNbMR6pPbRthu+mWLZgRttKxozumTNZTjGvWrKdYN7rYcgPi\nfORzkXhc6x49IcVMK2F/GjyKwCi03SC+X4VoatArRNEbxUUbrJHJ+ly66P+F1gtyo0ERwvQbNTMK\n4qMSTKK5dfM3Oa4lF8/7nz7germNcE+gOuTHBIiPZDCpNe15WpjuNThPhwnx/bqIevF6KN+rKOml\nEM39jfC4DO09kcG5MKiR97p7jyA+xcKIuD0N7j9NHsOju1ZKbXSPvujepj9F1NfU1CAmJsb6f3R0\nNKqrq696T1VVFdxuN7KysnrUvqamBrW1tX6nA0B9fT0iIyMBAJGRkaivrwcA1NbWIjo62m+bZcuW\n4a677kJoaCji4+O/6moTERERERFZbH9Ys+r2VybHFaPEL7/8Ej/84Q/xhz/8AYMHD+5Re+k9Dj+j\nT4fD4Xd692W5++67UVpaKr7vN3Mn+51e8u8qlFRUXXP5iIiIiIjo621SQgwmJd7e9Z9un6xFXH+d\ntm2vD8Kee+45bNmyBQAwfvx4nD592nqturoaI0aMAAC0t7dj9uzZ+NGPfoSZM2f67WvEiBE+7aOj\no9He3i72GxkZiTNnziAqKgp1dXUYPny42NflNtfyf4Uf9uh9RERERET0zVRy/DRKjneNJxyhV3+V\ndlJCtL8mll7/OuLy5cvhdrvhdrsxc+ZMvPLKKwCA/fv3Y+jQoYiMjIRSCkuXLkViYiIeeeQRsa+8\nvDy/7TMyMlBZWYmqqiq0tbWhsLAQeXl5Vpv8/HwAQH5+vjXAy8vLQ0FBAdra2uDxeFBZWYnMzMze\n3BRERERERET2fh1x+vTp2LFjB0aNGoUbbrgBL730EgDg73//O1599VWkpqbC5XIB6IqPv+eee/D8\n888DAH7605+K7cPCwrBp0yZMmzYNXq8XS5cutUI9Vq9ejTlz5uDFF19EbGws3nzzTQBAYmIi5syZ\ng8TERISFheG5557TflWRiIiIiIgoGByqJz+yoquEzf6/4HWmS/uREuu06WL+2yilSZqRUnh06UlG\nKV4CKQUyVEhIAsQEK916SttGm8IoJPSodjmNyoiUBBTMBCvdHxmklDtd4pOY5qdLKDL4Q4fUn27b\n6JKVAmWSombXH3RMUrekZdOlrorbQLMPpP6ktEtAPhcFc3/axSR1S0fa1rpEWN0+DXT20jlPk8yH\nMP+/h3CE638nYQdlUtMdQppfMM/funsCk7oxOX+aLLd0PjS5hkjbwCT1Ndjnaak/3TYz2m82LZvY\nl8F1T6LbbyaJ3lKqpsl1z2TfBHDf/t6vH/jf78X8sP1hzURERERERN9mHIQRERERERHZiIMwIiIi\nIiIiG3EQRkREREREZCMOwoiIiIiIiGzEQRgREREREZGNbH1O2DdesKO5O6UoUDm6UykhulMnmHHz\nJoRYatWpiT4WYpkdmn0gxtdLsdhdCxHQ/AHI+00b5y30p4IYda6LlpUiX3WMYrYN4m11j1eQmCyb\nHX3pBPM41Mb3C68Fuwa+jrHywYyStusRH9rTV4DHm+7xAeIjUwYFNg/0wiM+xBnZdG0TI7iDHKlu\nci7UFUgwSdtad0wFergF+5wibWrtsWvyVCfpcS6a4y2Y151gPnLAKDpfM3+vwbKZPKogmHR12H1d\nr1Ev/CSMiIiIiIjIRhyEERERERER2YiDMCIiIiIiIhtxEEZERERERGQjDsKIiIiIiIhsxHREu0gJ\nKbq0I0cQE236NYP1FDabCjHoK9AEsWsxSiIS2nwd96dRepJJamIfp3rq0qv6etnsmn9fr2e/INSB\nXdvGoTl2pGuIWLtBTn3t6/Oaybmor9NQdctsst1MtoERg+PArm0tMalPk+M6mOupSwa04zqqm4dt\ntSYwOq8E+zwd2L7mJ2FEREREREQ24iCMiIiIiIjIRhyEERERERER2YiDMCIiIiIiIhtxEEbfWJMS\nYvp6EehbYlLSd/t6EehbgrVGdpmUeHtfLwJ9C0xKiu3rRegzHITRNxYvIGQX3hiTXb7NNyxkL57X\nyA6TkmP7ehH6DCPqTUhxo8GOJP4appObkf4WYBI3f0VfSl0dqxzM/RP0fd1Pd3awI2fFqF5dzLVN\n8fWBxghfOQ+lei+S3La4eZtqsK8jnrWC+HgJbZuvUNPKC3jb/zddF1kdIl3ihWXuNHjsQqfmMSti\nBLhdNaBp01/j6422TS+ti8Nx9fu0cfPSMgTxUR52XXeD+ZgZwKxupDbavqTjLfDZy49Q0O1PYUbB\nvo8I6j2ByTEdwGM5rrGs/CSMiIiIiIjIRhyEERERERER2YiDMCIiIiIiIhtxEEZERERERGQjh1L9\nNRGg/yqpOOn/BW5KM0H90eb/+oq44Tqcb750xWvcP98o/eh4i7hhIM43t/b1YnxF/Wd79p0g/4Bc\nZL6tfWtNs8wBn1t17zf5MXwf11SwAwGCWh/9/3jr9fNaX9dHMPeBbl3EOgzmsathtJ2DuW/06xJ4\nnfV13fR830QNHYwx0bfIPXEQRkREREREZB9+HZGIiIiIiMhGHIQRERERERHZiIMw6hOtra3IysqC\n0+lEYmIiHn/88atef/rppxESEoKGhgYAQFVVFQYNGgSXywWXy4Xly5f77behoQG5ubkYPXo0pk6d\nisbGRuu1devWIT4+HmPHjsXu3but6WVlZUhJSUF8fDxWrlxpTb906RLmzp2L+Ph4TJgwASdP/u+3\ngGvWrIHT6cSWLVuCsj2o9wRaa3v27EFGRgZSU1ORkZGBDz74wG+/rDW6klRnv5Uo/BYAAA1ZSURB\nVP71r5GWlgan04kpU6bg9OnTAIC2tjYsXrwYqampcDqdKCkp8dsv64y6C7TWAODo0aOYOHEikpOT\nkZqaikuXLvn0y1qj7gKttYMHD1r3aampqSgsLPTbL2vtvxRRH2lublZKKdXe3q6ysrLURx99pJRS\n6tSpU2ratGkqNjZWnTt3TimllMfjUcnJydfs89FHH1UbNmxQSim1fv169dhjjymllKqoqFBpaWmq\nra1NeTweFRcXpzo7O5VSSo0fP14dOHBAKaXUvffeq3bu3KmUUmrz5s3qoYceUkopVVBQoObOnauU\nUur8+fNq8eLFSimlfvCDH3z1DUG9LpBac7vdqq6uTiml1L///W81YsQIv32y1qg7f3V24cIF6/Vn\nn31WLV26VCml1KZNm9SSJUuUUkqdPXtWpaenW3VyJdYZ+RNIrbW3t6vU1FR19OhRpZRSDQ0Nyuv1\n+vTJWiN/Aqm1ixcvWrVVV1enbr75ZtXR0eHTJ2utCz8Joz5z/fXXA+j6i7DX68VNN90EAPjFL36B\nJ5980qjP4uJiLFy4EACwcOFCbN++HQBQVFSEefPmITw8HLGxsRg1ahQOHDiAuro6NDU1ITMzEwDw\n4x//2GpzZV+zZ8/Ge++9BwAICQlBa2srOjo60NnZabj2ZKdAas3pdCIqKgoAkJiYiJaWFrS3t/v0\nyVqj7vzV2ZAhQ6zXv/zyS9xyS1dS1vHjx5GTkwMA+M53voOhQ4eitLTUp0/WGfkTSK3t3r0bqamp\nSElJAQAMGzYMISG+t3+sNfInkFobNGiQVVstLS2IiIhAaGioT5+stS4chFGf6ezshNPpRGRkJHJy\ncpCYmIiioiJER0cjNTXV5/0ejwculwuTJ0/Gvn37/PZZX1+PyMhIAEBkZCTq6+sBALW1tYiOjrbe\nFx0djZqaGp/pI0aMQE1NDQCgpqYGMTExAICwsDBERESgoaEBgwcPhsvlQmZmJhYsWBCcjUG9KtBa\nu2zbtm1IT09HeHi4z2usNerOX50BwK9+9SvcfvvtePnll62v86SlpaG4uBherxcejwdlZWWorq72\n6ZN1Rv4EUmuVlZVwOBy45557kJ6ejqeeespvn6w18udatZafn4/Vq1db7z948CCSkpKQlJSEjRs3\n+u2TtdaFgzDqMyEhITh8+DCqq6uxd+9e7NixA+vWrcPvfvc76z3qv09QuO2223D69Gm43W5s3LgR\n8+fPR1NTk7Z/h8MBR9CfE9Pl0UcfRXl5Oe6///5e6Z+CK5Bau6yiogKrV6/G888/f83+WWsE+NbZ\nhx9+CABYu3YtTp06hcWLF+ORRx4BACxZsgTR0dHIyMjAqlWrcOedd/r9i/GVWGd0WSC11t7ejn37\n9uH111/Hvn378M477+D999/X9s9ao8uuVWuLFi3CqlWrrPdnZmaioqIC5eXlWLlyJc6fP6/t/9tc\naxyEUZ+LiIjAjBkzUF5eDo/Hg7S0NIwcORLV1dVIT0/H2bNnMWDAAAwbNgwAMG7cOMTFxaGystKn\nr8jISJw5cwYAUFdXh+HDhwPo+qvJlT9Srq6uRnR0NEaMGHHVX58vT7/c5tSpUwCAjo4OnD9/3voa\nG3099aTWgK46mDVrFrZu3YqRI0f67Yu1RpLLddb964Xz58/HoUOHAAChoaHYuHEj3G43tm/fjsbG\nRowePdqnL9YZ6fSk1mJiYpCdnY2bbroJgwYNwvTp01FeXu7TF2uNdHpSa1caO3Ys4uLi8Omnn/q8\nxlrrwkEY9YnPP//cSsNpaWnBnj17MHHiRNTX18Pj8cDj8SA6Ohrl5eUYPnw4Pv/8c3i9XgDAf/7z\nH1RWVuKOO+7w6TcvLw/5+fkAgPz8fMycOdOaXlBQgLa2Nng8HlRWViIzMxNRUVG48cYbceDAASil\nsHXrVtx3330+fb399tuYMmVKr28XCr5Aa62xsREzZszAhg0bMHHiRLFf1hpdyV+duVyuq25AioqK\n4HK5rPc0NzcD6ErkDA8Px9ixY336ZZ1Rd4HW2tSpU/Gvf/0LLS0t6OjoQElJCZKSknz6Za1Rd4HW\nWlVVFTo6OgAAJ0+eRGVlJeLj4336Za39Vx+GgtC32NGjR5XL5VJpaWkqJSVFPfnkkz7vGTlypJVY\nt23bNpWUlKScTqcaN26cevfdd633/eQnP1GlpaVKKaXOnTunpkyZouLj41Vubq764osvrPetXbtW\nxcXFqTFjxqhdu3ZZ00tLS1VycrKKi4tTP//5z63pra2t6v7771ejRo1SWVlZyuPxBHszkA16UmtX\npiM+8cQT6oYbblBOp9P699lnnymlWGskk+ps9uzZKjk5WaWlpalZs2ap+vp6pVRX4uuYMWNUQkKC\nys3NVadOnbL6Yp2RTqC1ppRSr776qkpKSlLJyclWEp1SrDXSC7TWtm7dat2rjR8/3kowVIq15o9D\nqW4/hCAiIiIiIqJew68jEhERERER2YiDMCIiIiIiIhtxEEZERERERGQjDsKIiIiIiIhsxEEYERH1\nK/X19Zg/fz7i4uKQkZGBO++8E9u3b9e2qaqqQkpKitH88vPzUVdXZ/3/wQcfxPHjx3vU9sMPP8T3\nv/99o/n2RG1trfWg0SNHjmDnzp0B9/Hb3/4WTz/9dLAXjYiIvgIOwoiIqN9QSmHmzJmYPHkyTpw4\ngdLSUhQUFFz1oM5ge/nll1FbW2v9f8uWLUhISOi1+QXitttuw1tvvQUAcLvd2LFjR8B9OByOYC8W\nERF9RRyEERFRv/H+++/juuuuw7Jly6xpt99+O1asWAGg6xOv7OxspKenIz09Hf/85z99+tC9Z8OG\nDUhNTYXT6cTjjz+Obdu2obS0FAsWLMC4cePQ2tqKyZMno6ysDACwa9cupKenw+l04u677+7xerzx\nxhtITU1FSkoKVq9ebU0fPHgw1qxZA6fTiYkTJ+Ls2bMAgBMnTmDChAlITU3FmjVrMGTIEGtdUlJS\n0N7ejt/85jcoLCyEy+XCm2++6fMJV3JyMk6dOgUAWLt2LcaMGYO77roLH3/8sfWeEydO4N5770VG\nRgays7Oveo2IiOzDQRgREfUbFRUVGDdunPh6ZGQk9uzZg7KyMhQUFODhhx/u8Xt27tyJ4uJiHDx4\nEIcPH8Zjjz2G2bNnIyMjA6+//jrKy8sxcOBAOBwOOBwOfPbZZ1i2bBn+8pe/4PDhw3j77bd7tA61\ntbVYvXo1PvjgAxw+fBiHDh1CUVERAODixYuYOHEiDh8+jOzsbGzZsgUAsHLlSqxatQpHjx5FTEyM\nT5/h4eF44okn8MADD8DtdmPOnDk+n3Bd/n9ZWRkKCwtx5MgR7NixA4cOHbJeW7ZsGf74xz+itLQU\nTz31FJYvX96jdSIiouAK6+sFICIiuqz7wGLFihXYt28fBgwYgIMHD6KtrQ0rVqzAkSNHEBoaik8+\n+cSnj+7vqaysBAD87W9/w5IlSzBw4EAAwNChQ602Sqmr+lBKYf/+/cjOzsZ3v/tdn/frHDp0CDk5\nObj55psBAAsWLMDevXtx3333YcCAAZgxYwYAID09HXv27AEA7N+/H8XFxQCAefPm4Ze//KVPv0op\nn+X0956PPvoIs2bNwsCBAzFw4EDk5eUBAJqbm/GPf/zD+o3Z5W1FRET24yCMiIj6jaSkJGzbts36\n/6ZNm3Du3DlkZGQAAJ555hnceuut2Lp1K7xerzWgupL0HofDIQ5i/P1uyvS3VN3no5Sy+goPD7em\nh4SEoKOjw2geABAWFobOzk7r/62treL8AaCzsxPDhg2D2+02nicREQUHv45IRET9xve+9z20trbi\nT3/6kzWtubnZGsRcuHABUVFRAIBXXnkFXq/Xpw/pPbm5uXjppZfQ0tICAPjiiy8AAEOGDMGFCxeu\n6sPhcGDChAnYu3cvqqqqAAANDQ09Wofx48ejpKQE586dg9frRUFBASZNmqRtM2HCBOvrjgUFBX7f\nc+ONN6Kpqcn6f2xsLMrLywEA5eXl8Hg8cDgcyM7Oxvbt29Ha2oqmpia8++671nqOHDnSmo9SCkeP\nHu3ROhERUXBxEEZERP3K9u3bUVJSgjvuuANZWVlYtGgRNmzYAABYvnw58vPz4XQ68fHHH2Pw4MFW\nu8sDNek906ZNQ15eHjIyMuByuaxQi0WLFuFnP/uZFcxx2S233IIXXngBs2bNgtPpxLx583yW1eFw\n4L333kNMTIz17+TJk1i/fj1ycnLgdDqRkZFhxdhf+ena5d+eAcDvf/97bNy4EU6nEydOnEBERITP\neuXk5ODYsWNwuVx46623MHv2bDQ0NCA5ORmbN2/GmDFjAAAulwtz585FWloapk+fjszMTKuv1157\nDS+++CKcTieSk5Otr0ASEZG9HOpaXzAnIiKiXtXS0oJBgwYB6PokrLCwEO+8804fLxUREfUW/iaM\niIioj5WVlWHFihVQSmHYsGH485//3NeLREREvYifhBEREREREdmIvwkjIiIiIiKyEQdhRERERERE\nNuIgjIiIiIiIyEYchBEREREREdmIgzAiIiIiIiIbcRBGRERERERkIw7CiIiIiIiIbPT/nmvEmO1c\nDngAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1153ab910>"
]
},
{
"output_type": "display_data",
"png": 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7hUIBhUJh6nCJiNo0pVIJpVJpkrpMnhAkEkmDZfz9/aFSqSCVSpGUlIRx48Yh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\nEIiICAATAhER1WBCICIiAMD/A50M2bNfUX0OAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x113ed4810>"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
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