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@arsenovic
Created January 26, 2021 16:08
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{
"cells": [
{
"cell_type": "markdown",
"id": "senior-traffic",
"metadata": {},
"source": [
"# The Three Planes\n",
"\n",
"Illustration of the rotations in three types of planes; euclidean, minkowskian, and null. In GA these are handled by rotating in bivectors $B$ of signature $B^2$ = -1,1, and 0 , resepectivly . Below shows how a rectangular grid of pints (blue) is transformed (orange). All are area preserving. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "failing-pulse",
"metadata": {
"code_folding": []
},
"outputs": [
{
"data": {
"image/png": 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gWsk5P6hzinchJVnvC2l5eLnc3ivnPw7gAIACAJ0gJWffq2OnmjH2BGNslKqNZ4yx0ZAqcwHADqtk8ZzzNwHMANAM4D7G2C/M9teg9DWPMMamKZMwjLFBkCLyRkO6VwRBEITEXyC16Z1gEAGMtneduxhjc2SHFuSVHK/DPN0JQfgScm4RqcJYxthxi3+lys6c8zcgzZwzAEshVYf6HMAhSDMcRpFQirNJieyaDeAYY+wkgM8ALATwKxgvr3DKbQAOQsp/8hqAM4yxJkgvOD1gklSSc/4qgDsgvXRcBSlh8FeMsUZIVaR2ytfTQ3Po8/K+6QBWysd8DuAIpOt+FMBuLy6OIAgi2eCcH4L00vEppNxXr8qVC8E5/wjSBME5SNFX++T2tQnA/0BKAL8JBjPrnPNTANTVGLfo7Ba2TFEnZyIglZRfCGA7pDb+M0iTJZUAhkFyit1pebGSptch9Z0tAO5njD1ucYjCLyAtsekG4GUAZxljpwDUQJqUuVvWQRAEQQDgnAcB/NRitz9Aass7APgjpHeHUwCqIS2bnxNNjQQRDci5RaQK7SDNXpv90+Y9+TcAD0NK/tsCqZT8SwDGyLPQhnDOlwP4FoDNkMqvp0NyEs3mnHtevYRzfgzS2vhfQXIupUFayrESQCGkFwOz458DcDmA3wD4ENL1dofkkNsM4McA+mmOaQbwTUjOvzpIUQItkGbZr+ec/wwEQRCEIXLU1WRIxT0mA1inzJ5zzl+DtBTvWUhLGDtDqhj4LqQI4Gvk5PFGbDX4v97f3tHZDkiTOUsgVWD8FEAXSBMhuyG1/UM458KTGJzzlyH1ra0AHmKMPSpwzElISyf/G1KkGyAtiXwZwETO+fOi5ycIgkgh1kI/JyOA0OqNKQCWQ+pjgpCiYJ8HMALhEyQEkRAw/Yk6giAIgiAIgiAIgiAIgvA/FLlFEARBEARBEARBEARBJCzk3CIIgiAIgiAIgiAIgiASFnJuEQRBEARBEARBEARBEAkLObcIgiAIgiAIgiAIgiCIhIWcWwRBEARBEARBEARBEETCQs4tgiAIgiAIgiAIgiAIImEh5xZBEARBEARBEARBEASRsJBziyAIgiAIgiAIgiAIgkhYyLlFEARBEARBEARBEARBJCzp8RaQaDDGDgHoBuBwnKUQBEH4jX4ATnPO+8dbSDyhfoIgCMKQfqB+gvoJgiAIY/rBYT9Bzi37dOvUqVNGfn5+RryFEARB+ImamhqcPXs23jL8APUTBEEQOlA/EYL6CYIgCB3c9BPk3LLP4fz8/Ixdu3bFWwdBEISvGDFiBKqqqg7HW4cPoH6CIAhCB+onQlA/QRAEoYObfoJybhEEQRAEQRAEQRAEQRAJCzm3CIIgCIIgCIIgCIIgiISFnFsEQRAEQRAEQRAEQRBEwkLOLYIgCIIgCIIgCIIgCCJhIecWQRAEQRAEQRAEQRAEkbBQtUSCIGJDQw1QtxX4ugno0BXInQhk5cdbFUEQBEEQolBfThAEQfgUcm4RBBFd6rYAW5cBR8oit+UUAxPnA7klsVZFEARBEIQo1JcTBEFEF5o8cA05twiCiB5Vq4DX5gE8qL/9SBmwejpw/QqgcFZstREEQRAEYQ315QRBENGDJg88g3JuEQQRHeq2mA+GFXgQeG2utD9BEARBEP4hgfpyxth3GGO/ZYxtY4ydZoxxxtifHdg5LB+r9+94NLQTBJGiVK2SJgf0HFtA2+RB1erY6kpQKHKLIIjosHWZ9WBYgQeBrctpVoIgCIIg/ERi9eU/AXAFgDMA6gEMcmHrFIDf6Pz9jAubBEEQbdidPOjRh96VLCDnFkEQ3tNQYzwDYcSRd6XjaG05QRAEQcSfxOvL/xOSU+sggIkANruw9QXnfJEXogiCIHRJrMmDhICWJRIE4T11W2N7HEEQBEEQ3pJgfTnnfDPnvJZzzuMigCAIQhQ3kweEIRS5RRCE93zdFNvjCIIgCILwltTuyzswxv4dQF8AXwLYDeAdznmrHSOMsV0Gm9wsmSQIItFxM3lAq1wMIecWQRDe06FrbI8jCIIgCMJbUrsv7wVAm8H5EGNsDuecwswJgnBHak8eRA1ybhEE4T25E2N7HEEQBEEQ3pK6fflzALYB+BBAE4BcAPcB+D6ANxhjV3LOPxAxxDkfofd3OaKr0Bu5BEEkHKk9eRA1yLlFEIT3ZOUDOcX21pLnjKMwW4IgCILwkoYaaRnL103SS1HuRPG+NkX7cs75Ys2fqgHczRg7A+B+AIsATI+1LoIgkojUnTyIKuTcIghCHzcDYgCYOB9YPV2sCggLABMfcK6VIAiCIIg26rZIlbj0HFM5xVIfLVJ1i/pyNc9Acm5NiLcQgiB8AE0e+A5ybhEEEY5XA+LcEuD6UuC1eeaDYhYArl9BpW0JgiAIwguqVpn3vUfKJIfV9SuAwlnmtqgvV9Mg/7wgrioIgogvNHngWwLxFkAQhI+oWiU1skazCMqAuEqbY9WAwtnArHXSTIMeOeOk7VaDa4IgCIIgrKnbYu2IAqTtr82V9reC+nKFK+WfdXFVQRBE/PDyXUmZPGAWLpnUmDzwBIrcIghCwu6AuEcf8Qiu3BL3yxwJgiAIgjBn6zKxKABA2m/r8pTsyxlj7QBcBuA85/wj1d+HADjGOT+p2T8HwFPyr3+OmVCCIPxDNN6VCmcDPfpKbfGRdyO354yTIrbIsSUEObcIgpCI1oBYISs/IQfAhD9gjH0HwEQAwwFcAaArgP/lnP+7TTuHAeQYbD7BOe/lQiZBEET8aKixl78FkF6mGmrs5YnxaV/OGLsRwI3yr0pbfiVj7Hn5/42c8x/L/+8NoAbAEQD9VGZuBrCAMbYZwCFI1RIvA3AdgI4AXgfwi6hcAEEQ/oYmD3wPObcIgojNgJgg3PETSE6tMwDqAQxyYesUgN/o/P2MC5sEQRDxpW6r8+OSoy8fDuA2zd9y5X+A5Mj6MczZDOByAN+AtAzxAgBfAHgXwGoAqznn3Bu5BEEkDCk+eZAokHOLIAgaEBOJwH9CcmodhBTBtdmFrS8454u8EEUQBOEbvm6K7XE+Q27XFwnuexgA0/n7VgAOB0UEQSQt9K6UEJBziyCIlB8QE/6Hcx5yZjEW8T5CEARBdOga2+MIgiBSBXpXSgjIuUUQBA2IiVSjA2Ps3wH0BfAlgN0A3uGct8ZXFkEQKY3bfCu5E52d1+lxBEEQqQK9KyUE5NwiCMJfA2JKpkhEn16QcqeoOcQYmyMvSRGCMbbLYJObfGAEQaQadVukRMV6+VxyioGJ88WSEmflS/vbyQuTM476WIIgCCv89K5EGELOLYJIJpw6hvwwIPZqcE8Q5jwHYBuADyFVwcoFcB+A7wN4gzF2Jef8gzjqIwgilahaZV5a/kgZsHo6cP0KoHCWtb2J86X9RSp6sYBUYl6BJpcIgkhm3LRxsXhXojbYNeTcIohkwAvHkJsBsVu8HtwThAGc88WaP1UDuJsxdgbA/ZCSEU8XtDVC7+9yRFehC5kEQaQCdVvM+z4FHgRemwv06GPdl+eWANeXWttlAalPzS2hySWCIJIbr9q4aL0rURvsGYF4CyAIwiVVq6SG1mgmQXEMVWlXYWlQBsTMollQD4i9wO7gvm6LN+cliHCekX9OiKsKgiBSh63LxF6SAGm/rcvF9i2cDcxaJ0UN6JEzTtpeOMu7MQRBEIQf8bKNi8a7ErXBnkKRWwSRyHg961s4G+jRVxpAH3k3cnvOOGkWwsvZAyeDe5q9ILynQf55QVxVEASRGjTU2FveAkj9ckON2DKV3BLpn9kyl2hEjhEEQfiFaLRxXr4rURvsOeTcIohEJhqOIZEBsVdEe3BPEOJcKf+si6sKgiBSgzrh2hWRx9np/7LyjfenySWCIJKZaLVxXr0rURvsOeTcIohEJdqOIbMBsVfEanBPpBSMsXYALgNwnnP+kervQwAc45yf1OyfA+Ap+dc/x0woQRCpy9dNsT1OC00uEQSRzMSijXPzrkRtcFQg5xZBJCrJ4BiK9+CeSBgYYzcCuFH+tZf880rG2PPy/xs55z+W/98bQA2AIwD6qczcDGABY2wzgEOQqiVeBuA6AB0BvA7gF1G5AIIgCDUdusb2OC3JMIYgCIIwwu9tnN/1JSjk3CKIRCUZHEPxHtwTicRwALdp/pYr/wMkR9aPYc5mAJcD+AakZYgXAPgCwLsAVgNYzTnn3sglCIIwIXdibI/TkgxjCIIgCCP83sb5XV+CQs4tgkhUksExFO/BPZEwcM4XAVgkuO9hAEzn71sBOJwqIwiC0OAm30pWvlTi3c6ylJxx3s3YJ8MYgiAIwgi/t3F+15egkHOLIBIVPzmGnA7w4z24JwiCIAi71G2REgHr9V05xcDE+WJJfyfOl0q8iyQUZgGpApeC20TGfhpDEARBeI3f2zi/60tQyLlFEImKHxxDXgzw3QzuCYIgCCKWVK0yL91+pEzq065fARTOMreVWwJcX2pdCp4FJHu5Jd451vwwhiAIgjDD79GxfteXgpBziyDijZuGMZ6OIa8G+E4G9wRBEAQRa+q2WPdVgLT9tblAjz7WfVbhbKBHX6nE+5F3I7fnjJP67twSbx1rAE0uEQThT/wQHZvI+lIYcm4RRLzwomGMl2PI6wG+ncE9QRAEQcSDrcvEXkIAab+ty8X6rdwS6Z/ZZFc0HGs0uUQQhN+Id3RsoutLcci5RRDxwMuGMR6OoWgM8EUG9wRBEAQRDxpq7C0fAaQ+uaHG3jIVo32j5VijySWCIPxCvKNjE10fQc4tgog50Zp9jZVjKNoDfLPBPUEQBEHEgzqHhVbrtrrv06Ld79LkEkEQfiCe0bHJoI8g5xZBxJxoNYxAbBxD8RzgEwRBEEQ8+LoptsepiVW/S5NLBEHEi3hHx1rhd30EACAQbwEEkVK4aRj9QjwH+ARBEAQRDzp0je1xaqjfJQgi2XHjxI8FftdHAKDILYKILckQ9RTPAT5BEARBOMHtco/cic7O6/Q4NdTvEgSR7Pjdie93fQQAcm4RRGxJhoYxngN8LbQ2nSAIgjDDq5LtWfnS/nair3PGedMn+anfJQiCiAZ+d+L7XR8BgJxbBIADJ5pQdrARZ861oEvHdBQPyMTAnu6/iGQ30u6ohmYUOTGi0zDG7T44HOAf4NkoKzvkjV6Tl5WvLhmDzlMecl1VJNGeM4IgCEKDl5WJAckRtnq6WN5MFpAqXCm4mYyJp2ONIAgiFvjdie93fQQAnzi3GGPfATARwHAAVwDoCuB/Oef/7sBWNoDHAEwFcBGAYwBeBrCYc/65R5KTgrKDjSjdVIvth05GbBvdPwPzJueheEAm2fXQbh7LxMYOAAfA7BhTNYye6dUMtKvSh2HpLiZm18YAnyOAnzVdhz/++h13ehVULyva+8g50PlYJYKrbsRHRUuQN/U/xO3KJNpzRhAEQegQrcrE15da22UByWGWW+Jd5Fi8HGsEQRB2cNrexMKJ7/dJBmqrXcM45/HWAMbY+5CcWmcA1AMYBAfOLcbYZQDKAWQBeAXAPgCjAUwCsB9AMef8M5dadxUWFhbu2rXLjZm4s2bHx1i4dg+CJh9/gAFLZwzDzFF9yK7WrkXjY2Z3TfvHMCawT1gjcsYBc/7hTq8ak4F2ZXAQSltmoDxYYG3XakYckmNrwfk7saa1xLlerXbBwX0rZ9hW9CxKvnWztV0Z3z1nCcaIESNQVVVVxTkfEW8t8SRZ+gmCSGieu9b+S4jc11pSt0WqZHzkXX07Ex+QHFYC/WTIESYSOWbXnleONQ+hfkKC+gki6fCivbExzgcLALPWibVhXrWFfteXJLjpJ/xSLfE/AQwE0A2A/VCLNp6G5Niayzm/kXO+gHN+FYBfA7gcwOOulSYBZQcbLV+0ASDIgQVrd6PsYCPZVezWbZEGzE8XAesfBDb/XPr5dJH097otlnZLW2aglQvGbalmXz25D1WrpEZZp/HkHBgT2IfV7Zbg5rQt1nYLZ0uNds44XR2nssZgVvMCU8eWpV4tW5eJdSgA0hhHx/d+mZjPGUEQBOGcaFcmzi2RHGH3VABTnwQm/UT6eU+F9HclYstO5FjdFuvzWvS7yBknbS+cZdrfA2hbklm12vq8BEEQZnjV3ijRsczCRaGOjo2VtkTQR/hjWSLnfLPyf8ZsLdYKwRjLBXA1gMMAfqfZ/CiA7wOYxRi7n3P+pTOlyUHpplrLF22FIAdWbKoVWi6V7Hb3vPZbFJ9eYZm7Y3e3eQjyUYa2yoMFWNhyJ5ak/wFpjBsvUdQ0jK7vg8VAW/nqpTGOpenP4ijPjIjgirCbWyL904lku2vdF9gejFyCJ6xXi/yyIrqkk3OgKFCD+9dvRPF9/2a5v1+eM1G7BEEQhAGxqkyclW+8v43JGPCgFAkm8iJk0u+GtERjSSZBEIQeXrc3hbOBHn3FomNjrS0R9KU4vnBuecRV8s83OQ9/QjjnTYyxMkjOryIAm2Itzi8cONGkm/PHjMpDJ3HgRJNp0utktzs2UI27vigFmIWXggfx/S9+g22BhbpL+xReaJ2Een4x5qavQ1FAZ6ZY0zB6ch9sRj3NTV+H8ubIa9C9v5oBvqS3zp1eLfLLiqj7W3HWdT1WjgMnvp0Qz5moXYIgCMKEeFcmdhM5Zif/S6wdawRBEFqi0d6IOPHjpS0R9KUwyeTculz+ecBgey0k59ZACDi3GGNGi+AH2ZfmH5wueSo72Gj6sp3sduelr0WalWNLxswxpKY8WIDy5gLksXr8bFgjii5tb9gwur4PNgfaStRTHqtHLc82tmtyXld69XD40tEFZxPmORO1SxAEQZgQ75LtsYoc0yMWjjWCIAgg+u2NmRM/3toA/+tLQZLJudVd/nnKYLvy9x7Rl+JfzpxricpxyWw3j9VjTGAfOG+LBjLDyjGkpZZnY0fWVSiamOeJXt3jbA60lessDlSjtjXyGuLyuTl86TiDTuiQAM+ZF8cRBEEkDW5mxONdsj2ekWPxdKwRBJFa+Lm98bM25TxOj6O22pBkcm5ZobglhMJvjLLzyxFdhV6JijVdOjr7yK2OS2a7xYFqAGKOLfV+Ro4hJ3pc3wcXUU9O9ETlc5NfOuw4GRkDyoIFuDUBnjMvjiMIgkh4vKgaFYuS7WbEM3Is3ksyCYJIHfzc3vhZm5vzUFttSjK9QSmRWd0NtnfT7JeSOE1UbXVcMts1cvB4eVzU74OLqCcnesy257F6FAeq0QVncQadUBYsCEW4mdrNysdXl4xB52OV1sIhObYqgvmo5dkJ8Zx5cRxBEERCU7XKPLmuUjXq+hVSRUAzJs63V7JdrkwMwH0elXhGjsV7SSZBEKmDn9sbP2tzcx5qq01JJufWfvnnQIPtypovo5xcKcHAnl0xun+GrSTXY/pnWOb/SWa7Rg4er46LyX2wOWBWRz15pXdsoBrz0tdiTGBfxP6VwUF4M/M2S7udpzyE4KobERAIwGzlDCtapifMc2bHLkEQRNLhddUopWS7lU11ZWIvosaA+EaOxXtJJkEQqYOf2xs/a3NzHmqrTUkm59Zm+efVjLGAumIiY6wrgGIAZwFUxEOcn5g3OQ+zVlYiKLBAM8CAuZONc0Glgl3FwcMhVqlP2U/PMaTFjt4FIzhe+2Q9LuCREU+Wdm0OtNVRT071qu/vzLTNWJL+B6QxHrGskHNgTGAfRp98GKjqaj4bn1uCj4qeQO57DxnaYkxybC1ouQsVvACrE+Q5s2uXIAgiqYhG1Sg7Jdu9jBoD4hc5Fu8lmQQhwIETTSg72Igz51rQpWM6igdkuprY89Ken7VFw97hmp04/v4G8HOnwTp2Q6/h16Bf/kixg6Pc3vhZWyLoS0USzrnFGGsH4DIA5znnHyl/55x/xBh7E1JFxHsB/FZ12GIAFwD4Pef8y1jq9SPFAzKxZMZQLFy7x/SFO8CApTOGCS+RSla7HyEbDRkjkXVyp5BdBqAhYyQ+Omaeb0tYrzyTXHikDIWab2xlcBBKW2agXOVIM7RrY6CtRD050iuj3N/X1v1fyLEFRObLUn5nEJuNz5t6DzbzTHR671coCtRE2KoI5mNFy3RU8IKEes7s2iUIgkgaolk1SqRku9dRY8p54xU55saxlsAwxr4DYCKA4QCuANAVwP9yzv/dga1sAI8BmArgIgDHALwMYDHn/HOPJKccZQcbUbqpVjeifXT/DMybnGdrHOSlPT9ri4a96m2vILBtOQY370E/9Yb9y7C3/VAExz+AgvHTrA1Fob3xs7ZE0JfKMM6F8qtHVwRjNwK4Uf61F4BrANQB2Cb/rZFz/mN5334ADgE4wjnvp7FzGYByAFkAXgFQA2AMgEmQliOO5Zx/5lLrrsLCwsJdu3a5MeMLyg42YsWmWlTqNJJj+mdgrs1G0td2TQa1QnYD1fYan1nrUBYscH8fTGaStVFKL7aWWNs1swfJMae2Z1uvDqeenoLuDdvFD8gZB8z5h+VuZQcbsXb9RnQ9Vh6Rvyvpnt8EYcSIEaiqqqoyKsiRKiRTP0EQMaHiGWD9g/aPm/okUHS3+/M/d6392XOBfgqA7LDyIHIMaHOEiUSOeW3PI6LZTzDG3ofk1DoDoB7AIDhwbum8T+wDMBrS+8R+AMX0PmGfNTs+Fp7omzmqT0zt+VlbNOxtf+k3GLF7keUqiKorFmPUjHkxtednbYlgLxlw00/4xbm1CMCjJruEHFlmzi15ex8Yz7SIJ74x1pp0nZHX4a2+smtjFtTSrsOBouP7ULdF2KEWRABHr/8L+oz4lphdk4H2J8Puw1vnBnnzuTXUAE8X2T/ungrhsFtfPGc+sOsHyLklkYz9BEFEla3Lgc0/t3/cpJ+4n8mOQT8VOo9Z5JjNCTShCC5Rx1oMibJzaxIkp9ZBSBFcm+HMubUB0kqQuZzz36r+/isA/wlpJYgrr2qq9RNlBxttpWhYfccY0wk/L+35WVs07FVvewX5b90WWlFhRitnqPnmn0yjkBR9Rawac9PXRayqAMJXVZjp87O2RNCXLLjpJ3yxLJFzvgjAIsF9D8Mk9RHn/BMAc7zQlSoM7Nk1Ki/XcbdrM3+GpV07uTuc6NViI/9IAEH02f0UIOLcslii0QcefoHqtjo/TvClIe7PmU/sEgRBJCzxrBoVg34KgLSv0f7RyDcGiC3JTCI450r+XTBtDgRBGGO5kBxbhwH8TrP5UQDfBzCLMXY/pToRp3RTrZBzBgCCHFixqdb0Jd5Le37WFg17gW3LhZwzAJDGONi25YCJg0bRV84LUN5cYFoVHTDX52dtiaCP8IlziyA8Jxr5M4DYDRSjmX9EwWyg7RVfN8X2OIIgCCLxiGfVqHj3U8nS3ycPV8k/31QXpwIAznkTY6wMkvOrCMCmWItLRA6caLJVNRoAKg+dxIETTbqTgV7a87O2aNg7XLMTg5v3RCx/M4JzYEjzHhyu2ambKF1PXy3PRm2rcd5hI31+1pYI+giJQLwFEERUcDILaoesfCnPx8QHpJ9eDxrdzCT7iXjOxhMEQRCxo6FGyp21dbn0syFyeYUhStUoO3hVNSre/VSy9PfJw+XyzwMG22vlnwNFjDHGdun9g5QPLCUoO9jo6XFe2vOztmjYO/7+BgBizhn1fspxouexQu84P2tTn8ev+ggJitwiko9YzIJGm3jPJHtFPGfj1aTIkgyCIIiY44cKf27a+Hj3U8nS3ycP3eWfpwy2K3/vEX0pycGZcy2eHuelPT9ri4Y9fu60I3tGx3mpz8/azM5jRaz0ERLk3CKSj1jlz4gm8Z5J9gplNt5uFSqvPgevXroIgvAML4sqeGWL7Di0YzO3pame3BLg+lKhwi3HJy7DG8dy0KPqf3Fl/Ur0+kInKbdAGy/p6YiruxWi9+kq4fuh7adc3edk6e9TByVuQyjxjlFCZDl6q9ArUX6mS0dnr5tGx3lpz8/aomGPdezmyJ7RcV7q87M2s/NYESt9hATdHSL5SIZZ0HjPJKtxG/XkZjbeDTZfugh/wxj7DqTqV8MhlXrvCgdVsGRb2TCuqvu5R5IJDWUHG1G6qVY3f8jo/hmYNzlPOFGqV7bIjnM7/+/SI3jk5MNgsM5tyV+di5+924Q/fppjrseicMuprDEobbkRf1x/KWam/Q5L0v+gWz4dgGkbr72ujYGpWN3un2KJglX9VNnBRry0fiO6HSsPJQB+NViAxTxb/D77qb8ngLbIrO4G27tp9iMscJoA2+g4L+35WVs07PUafg2wf5mtvFGMycdFWZ+ftSWCPkKCnFtE8pEMs6DxjngCvIt6sjEbj+tXeBNJFa2CAkQ8+Qkkp9YZSKXeHeUrYYxdBqAcQBaAVwDsAzAawDwAUxljxZzzzzxRTIRYs+NjLFy7x7Di0/ZDJzFrZSWWzhiGmaP6xMQW2XFn55rGP4EFxHJbMgRxdeMq/BGPWOsxKNzyxlcDce/GswhyYGygOuTYAkxeNHTaeL3rKg8WYGHLnebOMiCsn9r8xgvo/N4v8avAPqBd+G6VwUEoPTIDs1aetH6m/dDfE2r2yz+NcmrlyT+NcnIRGgb27IrR/TNsJUYf0z/DMPrRS3t+1mZkz6qinpm9fvkjsbf9UAxu3iOkjTHgw/ZDMUQnIbrX+vysLRH0ERLk3CI8XSLiC7sOZzMPdx+JzWWHvNXbUIOGDzag/ngDmngnnOxZhCHDi8Ts2oh4CiKAo8Pug/kroRgHTjShYeuzGLv3ZwggCI62GPwQdqOeCmfjE34x0t9djks+11s+Mk6aCXfgYNJ9Hjwoq55o34sU4D8hObUOQorg2my+uyFPQ3JszeWc/1b5I2PsV/I5HgdwtzuphJqyg42mThKFIAcWrN2N3hd2MpyZ9MoW2XFnJ4/VY0xgn60Z7KJADfJYfdhA3VSPqsJf2cFG3LuyMqRnXvpa4XLs6jbe7LpeaJ2Een4x5qavQ1FAJxm+qp+qXf80JlQ8hLRApCOMc2BMYB9Wt1uCBS13YcFamD7TAOKXb4zQQ+lbrmaMBdQVExljXQEUAzgLoCIe4hKVeZPzMEv1HTYjwIC5k/NM9/HSnp+1qe0VsWrMS1+LMYF9EftUBgehtGUGKniBpb3g+AfQ+tZtQm1oK2fg481XVHipz8/aEkEfQc6tlMbLJSK+sutgFvTD9kNx3Z9OADjhjd66LTi1/nF0b9iOLEhv0tLfgcqyQXgs8zZMvnamuV2LiCdlQN3KGRa03IkXXwxi9M73XN/f9CPvYHW7JQgoM+JGBwhGPbV9bkEA94fNSlx00UW4YsI0FI4c61iv9nnIY/XY2KFM3ylnhKqgQNyfX0IXznnImcVES9VoYIzlQirhfhjA7zSbHwXwfQCzGGP3c86/dKaU0FK6qVZokA9ITo4Vm2oNvwte2SI77uwUB6oB2K8aVRyoNixzLqrHrmMNQKiNL930hel1lQcLUN5cEOqn8i8Ebhk3JNxhVLcFl1U81NZHajQov6cxjqXpz+Lo+Uys2JThqr9vM66KcKackq5gjLUDcBmA85zzj5S/c84/Yoy9CamvuBfAb1WHLQZwAYDfUx9hj+IBmVgyY6il8z3AgKUzhlmOh7y052dtir2/jqzFiN1LdCNL1Q71qisWY9SA60ztFYyfhu0NizBi9yJDe8r7RdUVizFq/LSY6fOztkTQRwCBeAsg4sOaHR9j1spKw7BZZZnACzs+iZ9dVVnxqheW4LE/viRud+J8aRAoQCtnePzM9e71KlStAl81Hd0btoNrOjWlkXr4s4fw6nNPWtstnA3MWifNGGtgDKgI5mPW+YV4sbXEuV6Ef26OZsQF7CrU8mw83zoVT7VOx+KGCfjOS597+pyFXrpsWQRQtzUxvheEG66Sf76pno0HAM55E4AyAJ0BFMVaWLJy4ESTreUZAFB56CQOnIjMgeiVLbLj3k4XnLV1HtHjRPTYdawpNHywQfj+KP3Ug41TcaD/98Iiob7a+AQCYrnEkcY45qavM3ymwzDp7wFIf5+1ToqWrlolRXoZTeIp0dVVq4V0JguMsRsZY88zxp4HsED+85XK3xhjv1Dt3htADYBNOqbuAdAAYAVj7GXG2BLG2NuQonsPAHg4eleRvNwyqi9W3zEGY/pn6G4f0z8Dq+8YY7k0PRr2/KwNdVswunqx4TJstUN91J5FkuPbgtE3/Qg13/wTPmw/VNfeh+2Houabf8KoGfNirs/P2hJBX6pDkVspiJdLRKJiV2c2shDAhvZtoZnlwQILuyVCs6BS1NNduvaE9Wq081fnhRLsmjVST6Q/i9vWZaL3hXdYz+jmlqBqZzlee/n/cAHXX4ftSC/CPzc3M+LaZRDxes6cvnQdOXYcC7f7+HtBeMHl8k+jXCm1kGbrB0L/hScMudqVHo7ygSUjZQcbHR+nXa7rlS2y497OGXRydC6R46z0OG3j6483oC1dkjhhehpq0PlYpaPlmHrPdAQG+ca0kWOUU9KQ4QBu0/wtV/4HAEcA/NjKiBy9NRJthUeuhVR4ZAWkwiP2vMhEiOIBmSgekOlZigYv7flWmwepNvQoGD8NGD8Nh2t24vj7G8DPnQbr2A29hl9jmCcqVvr8rC0R9KUy5NxKQbxcIuK5XZMKd9o8Fkq0kqFdi6pLH7YfisfPXG/q2LLUq2XrMuvKUTJpjOO+9HX49aYJQvd36S6G7S1ThWw7/dyczoijbmuEcytez5nTl663D5317/eC8Iru8k+jKlfK33tEX0pqcOZci2fHeWWL7IQnrc39qArI+06oDRexUyb3m3arRpUJ9LdW1+W0jW/iDh1y6vPXbQXgbDnmmXNXme+sRpVvLAJ6GTKEc74IwCLBfQ/DLPMC558AmOOFLiKSgT27eppv1Et7vtLWUGOv2ARgOOlsRL/8kehnxyGjJsr6/KwN8L++VIScWymGm2ULZg2zJ3YtZiMj8ljwTF3HVJhdg1nQw91Hyjm2XOjVIjdSdmd0Tx7ejQMnCqJ/fwXsOp0Rx9feLY9xex/svnQp/OVfudY7qYjZ94KIJcoTI+SO5JyP0DUiRXQVeiUqkenS0dkwQ+84r2ylsp2xAZ2ktXUAnv5FKE9Tl445lnZqeTYqg4N0k9/qoSyj14s21mJ1XU7b+JM9i4C9zeIH6J3/a4ulhUY2cNbx5xwGvQwRRGohO9QdHReL77yf9flZm3Iep8dRe24I5dxKMdwsW4i6XRuzkUoeC2E9WflA0d1ShaGiu7H55EVO5Jpfp4sZ3ZjcX4HtTmfE0cG75UNutgNtL112XnqOXThC6KXLrp5o3QfCMUpkVneD7d00+xEucRqFqHecV7ZS1c7MtM1Y3W5JaOl5BHKepm+df0vo/KUtM9DKxRraVs6womV66Pc8Vo/b09bjvrR1uD1tPfJYveF1aH930sYjZxyGDHeWSi/s/B2cTTqcgUfLzd28DBEEkXg4dKg7Pi5W54mFPj9rc3OeWOlLUMi5lWJ4uUTEU7s2ZyPVeSyc6InKfXAxoxsXvTrb1TPitsidaOu8QnpUBQVQ8QzQUCNs185LF1gAFb3vcKA2Ts8Z4Yb98s+BBtuVhDxGObkImwzs2RWjDRLqGjGmf4Zu5KJXtlLRzthANZak/8EwaW0IHkSvrfPx/y49YqmhPFiAhS13Wra16tyWYwPVWNP+MWzsMB+L2q3Cj9u9iEXtVmFjh/lY0/4x3HHpEaHrstvGY+IDITtmjjUtEfdZ7utEu0ilL226ZKw30bj0MkQQqYVDh7rj42J1nljo87M2N+eJlb4EhZYlphheLhHx1K7NWUWrsuJR16uHixndi+KhV2e73aUmAKQKTprwWFd6Tcqb39xjBN4LXGOZJ0156VJe5jgMEmvIZdW/ODsWwF5nel1s9/o4wpLN8s+rGWMBdcVExlhXAMUAzgKoiIe4ZGXe5DzMWlkplHsuwIC5k42TfntlK9Xs2K2COy/9ZTzP5lnqeaF1Ej7lF+N32ZvQvaEyYvuprDG4t34y3g0WYGba5rY22aDc+eiTDwNVXaWKgCbXFdHGa+1BbvPlNh65JUDdFjzb+ji6d9geoVOvWI3ufc7KB3KKwQQn45TlmDOmThHa3xJ6GSKSBK+StkfDntfa9JKOC+dp0kweC2PjOD/r87O2RNCXitAbVIrh5RIRT+26iHpyoicq90GZ0XWQYPdWj/UqyYKvP/VPoCIzvNKShd3SlhlY3W6J2IuQPCPuVq/Ct85vBFY/aLg8tdcXu7C6XZVhQQE1L7ROQj2/GHPT16EoUBO5Q844SXtuCYqtSrQbEJfnjLCEMdYOwGUAznPOP1L+LlfAehNSRcR7AfxWddhiABcA+D3n/MtY6k12igdkYsmMoZZVQwMMWDpjmOnz75WtVLLjpApu94ZK/G5KJ9y70bzQRoABN0y/Fd1HPahb4a97Vj6u3/ExsO7/TCPHlN8Z9Cv86V2XWRvPgLA2XilW050HIyY79IrVmN7nifOB1dOF0ii0coZzV96PEsWOWRVEEehliEhwyg42onRTrW4+0tH9MzBvcp6tMZCX9rzWVr3tFQS2Lcfg5j3op96wfxn2th+K4PgHpKp7ZsgOdVu59nQmnRNNn5+1JYK+VIacWymGEpZvJ8m10RIRT+26iHoytWuAmV51Fakz6ISyYAFqeba1XYczuhn9hnl2fyOSBasnqOVkweoXBj27jmbEHepVc8elR9Br68OWLwxWBQXUlAcL0Np7AtZM72H6QuHb7wURgjF2I4Ab5V97yT+vZIw9L/+/kXOulHjvDaAGUtn3fhpT9wAoB7CCMTZZ3m8MgEmQliM+7L164pZRfZF9YWes2FSLSp3vw5j+GZgr+OLgla1UseO0Cu63Oh/A6ju+I67HoMLfLaP6YuqOt5DWIB45plfhT+/+lAcLUN5cgDxWj1svrsNV/Tsh55Je4W28pliN9jZoi9V069kfV1070/g+55YA15eGbOo5yxgDgmCou3IJSqbebBqRrNc3G0IvQ0QCs2bHx6YO/O2HTmLWykosnTEMM0f1iak9r7Vtf+k3GLF7kWGk6uDmPWh96zbs+NdijJoxz9zYxPngq6YLVWPnCIDpTDonkj4/a0sEfakOObdSEC+XiHhm1+asolFZcTd6datIyVQGB+GCwQ9ZG7XRSLVyhqdapnt2f82WfAAIJQvG9SvClnzo2bU1I+5Qr5oAg1QgwGZBgfJmc+dW6HnIyrQc3Pvye0GoGQ7gNs3fcuV/gOTI+jEskKO3RgJ4DMBUANcCOAZgBYDFnHN75S0JYYoHZKJ4QKYnSz68spUKds68WQZ8ZH1MBF83eaOnoQbdGyKXAppiUOHPWM8EYz02i9U80vUfwIB7zHcsnA306AtsXQ525N2wTYwBX11ahM7fXIg8VdSYoQaDvtkQG5FjRtHVBBFryg42WkamAkCQAwvW7kbvC82LMHhpz2tt1dteCTk/AONI1TTGUfjBo6i+uJ9plE9ZsACvnb8Dj5ss62ZMeq94qOVO3BAsQLHJdfhZn5+1JYI+gpxbKYmXS0S0dn83pRO2v70OF/DwqCdLuzZnI/XKijvRq9yH7wSsc4Hg7duBCywGn7klYDeUgr86DwxBi0bqLtww/VZHerWfm51kwdolH0Z21TPixYFqdGVncdWwy/CNkhuFZoHtPGdPT+mM7u+Iv/xwtBUUMKpy6OZ58Pp7EQ27qQbnfBGARYL7HoZBmjV5+ycA5nihi7DPwJ5dPYtO9MpWMttBXl9nzi1VRLUrPVEody6sx2axGgCGjrUIckukfzpLDTsbRI0ZotM3m55XFTlmiEl0NUHEmtJNtUKTfIDkRFqxqdZ0POSlPa+1BbYtF85xmMY42LblgIkDpHRTLba3TsLHRpPO8jvRipbpKA8W4HAC6/OztkTQR5BzK2XxcokIgFDI/beOlOFbmqdKnajV1K7NPBbqsuK29crcMqovhpz7JwZv+gMCMPfCCw8+C2eD9eiLU+ufiEiwqzRSGzNn4wazZQ8mevU+N7vJgrVLPsyeh1qejYy+wzB3ch6+4ZFehdDn1vg3W3aVj+TWi+uwuCHSueXmefD0exFluwRBEJbEO09TPCv8RcGxFoHBckwAtqLGjJZj6qKKHIMmcgyAUHQ1QcSKAyeabKVnAIDKQydx4ESTrhPbS3teaztcsxODm/fYyr87pHkPDtfs1E1ErtannXTWpk9JdH1+1pYI+ggJcm6lMJ4tETEJueeQop7+3H4pGkqWoVfJdcZ2BGcjOQvgvcE/xZUXfRtTPKhiUnDw9xAu7C06+MwtQfd7SoCGGjR8sAH1xxvQxDvhZM8iDBlehEdc6NV+bu0/248xVfuMKwLqoTMz7eWSITO9unaPOnuJmTMiE8WDJsRer4/sEgSRArhJRB7vPE3xrPAXT8daNKPGANPIMcqxRfiJsoONjo/TGx95ac9rbcff34B+EM9xqOx3/P0Nug4QPX21PFu3Unyi6/OztkTQR0iQc4twudxgi6kzSvn+BxBEr63zgb55llFPVrORbOIDGJdbgnHOFIcT7cFnVj6ypuQjy5k6U0KfW8UGADYcWwoGM9NeLhkStuvi5Scuen1olyASBT+WbPernR7HynFl/Ur0+mJX5E4CichDdrp+D9PwHgIC+SAj8jQZTNIIX1cUIseE73OMHGu6eg7FIGoMMI8cIwgfcOZci6fHeWnPa2383GlH9oyOSyV9ftZmdh4rYqWPkCDnFuGOaITcx3I2MhZLFqJNPGemvSLey2bU0Cw4QUQFP5Zs97Mdp0VC9PX0wHtpd7TZg8GEiDpPU90WnFr/OLo3bEcW0DZJUwdUlg3CY5m3YbLI8vqsfJzKGm0vqbxB5Jjt++ywWE1V+jAUCuxvpmdp5of4rq2zy/ipbyYID+jS0dnrptFxXtrzWhvr2M2RPaPjUkmfn7WZnceKWOkjJOjuEM6JQdRT1J0KyeAYiueSDy1OHUPxXjYDeFeqnSCICPxYst3PdtwUCTHSY1YFF0B4nqaqVeCvzkN3g8IoYwL7MPKzh/DQc4dw9Ma5ltf1Wv038ad2O8RyQ+pEjqFuK/bUfYK39p7G560FACKXbejeZ4fFam596XMs5Z+4+tz3fQ6gndBpw4lG30wQccRpPlGj47y057W2XsOvAfYvs5WXiTH5OBvnSUZ9ftaWCPoICXJuEc5JhqgnPzmGnOKHqCcvHEPxLG/udal2giBC+LFku9/tOC0SYqVHnbR2XFo1bh9xEXIu6RU+EVG3JVTxFzAvdf5E+rO4bV0mel94h8V1FWBhy52mVYkZAzgCYKrIMXW/MhTA0HQA6eGFatTo3mcHxWoUOwPYJyhs2R0xYSPyuZfJ2kRfhEJEIyKZIOLIwJ5dMbp/hq3E7WP6ZxguffbSnp4tq6TeZtr65Y/E3vZDMbh5j5AuxoAP2w/FEJ2cTKmmz8/aEkEfIUHOLcI5yRD15AfHkEKiRj155RiKV3nzaJRqJwgihB9LtvvZTh6rx5jAPntOETkqunTTF0J6ank2aluysbchA2umXxm+ceuykGPLijTGcV/6Ovx60wTL6zKLHFNXEn6kcJZ5oRo5cmx1uyVY0HIXXmwtCdsecZ81fYuRY62VMyxouQvlwQKMDVRjXvpaFP59X+RF5xRjU9O3EeQ5pvemlmejMjgIYwI6NozwOiKZIHzCvMl5mLWyUqh9CjBg7uS8mNlTbBUx6Xuv951VHOoVvMBSW3D8A2h96zahCYpWzsDHm0/WppI+P2tLBH0EEIi3ACKBSYaoJ8UxZIdoLId77lrg6SJg/YPA5p9LP58ukv5et8XaxsT5ktNHBC+jnuw6hqyupXA2MGuddI/1yBknbfcyespJ3jiCIIRwU2Y9Wrb8bqc4UA3AZrQPgIYPNrjXI6cb4KJBYxwoCtTg5OHdQvenPFiA7zY/gilfL8Oi87Pxi/M3Y9H52Zjy9TJ8t/kRrPw0B5/sesO8UI0qcmxp+rMYK98v0+sqnI1Pvv0XVATzdSPRKoL5mHV+IV5sLcHMtM1Y3W5JyMEYwZEyPPzZQ7g5bYvF3QFKW2aglYuW1tJZjlnxjNTnVDwj/U4QCUrxgEwsmTEUAYuvQ4ABS2cMs1x65aW94gGZ+OvIWsPvvdqhvmbUQUttBeOnYdewRaHvvp49QHJ+VF2xGAXjp5naSyV9ftaWCPoIitwi3JAMUU9AciyHi1fUU6IXFIh23jiCSHH8WLLd73a64Kwju/XHGwDYn9UN0yOnG7Bb6rw4UG3r/piVO2+3bblwv5LGOOamr0N5c0HENq2et84NwuLmR0yXfYjmOlMca0d5ZsTSSDXlwfDlmIZoEvlT/kciGbllVF9kX9gZKzbVolLHET+mfwbm2igs4pm9ui0YXb0YMPjeqx3qo/YsAoZfYfkdHH3Tj1Cd1R9s23IM0SxjU5ar8fEPYJSF8yMV9flZWyLoS3XIuUU4L10ep+Vwar15X+7ChGN/ROdjlTrnEhwEyo4h/to8MB4UqyLlUG/Y/XW5HC7S7nQMnNVXciAdeTfSjjpZsBO9Wmw6hjgAduRd/O+r69F80eXWz5lgQQHHzy8Ql7xxrvQSRILhx5LtfrdzBp0c2W3izo4LO7/DtAFdcNaT+5PH6tHri13C+yuRY3msPiwvid75ld/NHGt2cp2ZOdbUKMsxl128HtmnqiJ30CTyp/yPRDJTPCATxQMyPRsLeWIvGhO1kKJ8MH4aDtfsxPH3N4CfOw3WsRt6Db/GMA8T6fO/tkTQl8qQcyuFKTvYiJfWb0S3Y+WhGcxXgwVYzLPFS5fbTNT6eNN1mHyw0VFYpbbk9sy0zbjHrKy54CCw7GAjSnfkIf3rBWJVpBzqVTO6fwaebX0c3R00aNal0P+E4uv+ZTvqyXaJdZuOIeXzqa38B55vbTW2K4htvXrEMG+cJ3oJIsHwY8n2aNuxSghrZcdpIvKTPYuAvc3iB+id32HagDPohIs8uM/FOksMzVBHjmkdVnY/d7u5zswca1rKgwXYOHom5uSdM+6bKf8jkUIM7NnV04k9x/ZiEMHfL38k+tlxeKhJcX1+1gb4X18qQs6tFGXzGy+g83u/xK8C+yJKVVcGB6H0yAzMWnnSuiy7NlErwp1M2kStL36ag+cFy72r0Zbcjlg6YHSgxSAw3G5bFSn1i8l7vAB3FFyLmbnO9Wr5/PBudO+w3ThKTI8j7+KNt9/GvRvPipWcL7rbM726JdZdzPCb2o2WXj0cvsj980QLvmFjf8/0EkSC4ceS7dGyoyQhN0sIWx4ssLTjNBH5kOFFwOZ3xI/RO7+cNsBuqfOyYAFu9eA+O12SqXec3c/dbq4zM8earv0BmUBWV+OXEprBJ4jY4/fK76TPOX7WppzH6XHk3DKEEsqnILXrn8aEiu9bJq67KbAFC9buts4rIicBP5U1JsJRo03UCrSV6hbNV6JXcttRmXQBu4D0YvF861Q81Todz7dOxf5gtmu9WkKDaLErCLH97XXCJee91Ktr18UMv6ldCxzr1cNm/jfl+7Lg/Yz46CWIBEMpdW0Hq5Ltbm1Fw45ZEnJ1v/pgzx1CepwkIlfs5LF63J62HvelrcPtaeuRx+rFr0tON2DHwVMRzEdGv2Ge3OeLLrrI1v4K2n7FyefupWNNi2X5djcz+ARBOMfvld9Jn3P8rM3NeWKlL0Eh51aqUbcFl1U8ZJgsVVuFqIhVY8WmWmu7uSW4K22xYQUkbcJVpVS3CNpS6+qlA8LoDAKdlHAXQcSu00H0BVzsOK/16tp16Bgq00m+61av0cucpV2b1TKVF7n9wezo31+CSBLmTc6zrGilIFKy3QtbXtoZZ5GEXN2v3n2qVLdqrFaPkojcsCJTyHh4IvJnW3+KjR3mY1G7VfhxuxexqN0qbOwwH2vaPxZRVdDwuibOBxccHrZyhqdaprfZ0VT4WzCC27rPV0wQSMCrQq9fcfq5O811ZnWc1TMNwN0MPkEQzvF75XfS5xw/a3NznljpS1DIuZVifLXxCQQg9qatJEs1KsuuRin5rY16MstDYceuGqdl0tWDQC/L06sRtRutQbQaL/Xq2nXoGDJ6JpzoHRuoxpr2j5m+zFnanTgfnIm/yK1ome5YrwgidgkikfC6ZLsXtry086teG4QjiRn0I4n19LzQOgmzzi9ERTA/0mEGSLkgZ62TckpWrQJWT0f3hu0RPbw6cuzmtC3W15VbAnZDacjBZVbq/KGWu3DD9Fulfvm5a4Gni4D1DwKbfw6sfxCFf/8WKi75JcZZ5NJS9BSOHOuqX3HzuatznYmg7KY3YaMg8kwDoBl8gogXfqr87uV5SJ+/tbk5T6z0JSiUcyuVaKhB52OVjpKl6pVlV+NluXcru06jntSDwFjq1d3PZsJgJTeX2SDaSI+VXqvkx6Z2bRYUUBxDbvQqzEzbHIqW0N5H9cvcgpa7UHZwsLHd3BKU5T+CKz98zNCWOm+cOgoxXt8Lgkg0vCwB75UtT+w01CDr5C7b+RP1EsLq6SkPtuWCvPXiOlzVvxNyLullmohcLz0A0BaR3a1nf1x17Uzz6yqcDdajL06tfwLdG8KrESsOpY2Zs3HDtTNRfPp1YLVxIvSsk7uwuv0/8Uz3eXjyxKiI7RH32WG/MqZ/Bh4cwVHY8g9gq3ExFaPP3W6uMwbgVNYYZKQNA1w+0zSDT6QaXleO1qtaJ5ToOwaV3x1rI32+1pYI+lIRcm6lEnLkkpNkqWfOXWW6r5fl3q22O416Ug8CY6lXDyeDaLOoJ0d66rbg6srFmNMhsjS5OvmxqV1NQQEtZo4h23pV2yMKClgsr3312HAA/Q3t/vOi6/H0+fO61TKVF7kVLdMj9Hv1PHh1HEH4GS9LwHtly7UdpV+1pR6GCWGN9Uww1mMjEXka43ik6z+AAfdY75xbgu73lAANNWj4YAPqjzegiXfCyZ5FGDK8CI/07Cpc4Y8hiP84XYpv3/wXvHVukPl9tuhXFIIIYPPAhzGl3014suM+9Nn9M+DvOi8JOcWSw0yVfN3oPl/acRHw91vF7icLoPvUh7Am90ocONGED9+vQMaJCnRlZ5HdKwtZV1wDZAkm1acZfCJF8LpydPW2VxDYthyDm/egn3rD/mXY234oguMfQMF4i+XONhzqSo7DmGlLUX1+1pYI+lIZcm6lEi6q21mV0Pay3LvVdqdl0tWDQE/0NtRElPTu0rGjsK3SlhlY3W6J0HKWIAKWUU+WetVUrQJem4fePGgZ9aQUAjC0Wzgb6NFXWmpz5N2w/cwcQ7b0arbbKSiQxjiKjq4E8D1Tu+oICdFItnh9LwgikfGyBLxXthzbidJyMmE9sSglnpWPrCn5yNLbZrPCX5/dT2HOnH9Y72vSrwAAcsYhMPEBfDO3JNSfGeo4Uia9PFy/QlrCqSLyPvcHmLVjTZvrbODWZRio/hw+AlD2qK5jTReawSdSAK8rR29/6TcYsXuRYdT94OY9aH3rNuz412KMmjHP2FBuCbYXPGpqS5morRq2CKMEqpR6pi0F9flZWyLoS3XoDSqVcFHd7garEto2S34rDoTrT/0TqMjUXTpgZNdpmXS1fVel4Ou2SAN6nUHoLZeMwcbAZCFHjpIwWB2BpAsLoGHiMpSvv9SZXi3aJSwWUU9HeWbE9UTYzS2R/skOv8aTjXiq7ITQEkdLvZrt6oICostrL/l8l+nLnPq8tTxbqKy7qF4nOD2OIIgYE+/lZPEsJR5tx5qmX1FPJBktyTSEB4HX5gI9+lg7mgQca5j4gGTHhWMtAprBJ5IYu5Wje1/YyXQsVL3tlZBDADAfyxZ+8CiqL+5nGElTdrARs3bmoYgttIzgr9gxAKuHNcZMW6rp87O2RNBHkHMrtZAjl0RzgyjOg6ZLxlrOICsltq2SZ48NVGNe+to2x9R21UadGU4ju3ainvQGgaJ61Yzpn4GBR9eZDmQ7H6vEn9tvx4Pn9SOetLzQOglde+ZKy0RMBtG9ckswev979vXqfW42l7DMTV+H8uY255ZpSfOsfCArH5kA9n7yHmq90KtiYM+uuPXiOuC0/eW1Zi9zjp8Hj74Xdu0SBOET4r2cLJ6JyGPlWJP7FV1sRo5h63Jr5xYQH8ea4HLMsKgxgkgQnFSONnuJD2xbbiuCn21bDhg4GRRt5Vwsgj+W2lJNn5+1JYI+gpxbiYnZYMsMOeydCc60Kt7iGVOnCO0/b3IeZq2sNOy8zBKAAzCc4dSzq416MoziMRkEWulVE2DAI4MbhAayARhHPOnZveramVL+E4vP1a5e3dLjNmfa1UUFanm2WElzL/XqcFX/TsAHQruGY/EyFy290bJLEImKl4mEPbFlkFNKyE6UlpMJX1eMIsd09Th0kFXVfoyyL2tdffZKjqvpR8pcJfO3vM+xdqzZiRojiATBTeVovfbhcM1ODG7eYyuCf0jzHhyu2RmR7FtPm1UEf6y0pZo+P2tLBH2EhK+cW4yxbACPAZgK4CIAxwC8DGAx5/xzQRuHAeQYbD7BOe/lXmmcMFkOJ5zXwWYVonNX3o8SQQ+xUmJbL+zYKgF4CJ0ZTiO7L7ROQj2/WDeME4DlINBMrxqllHdB9Q9cRTwZ2Q154M0G0Q706i9JtDfTri4q8FEwW6ykuZd6dci5pJcz55bFy1y09EbLLkEkGl4mEvbEVt0WnFr/OLo3bEcW0JZTqg6oLBuExzJvw2SrqoIAMHE++KrpYHCwnEwzqVGVPgxLdzHx67IZAaYMyqvSh6FQYH+z+/xoViPm2Dq7xKv7mvD8hwdCv9v57NV6bk9bj+ntnCXzLzt9sbvnR54ocuNYM0QkaowgEgivK0cff38D+sF+BP/x9zdEOBn8rC3V9PlZWyLoIyR849xijF0GoBzS+PIVAPsAjAYwD8BUxlgx5/wzQXOnAPxG5+9nPJAaH7zK66AJe9cOzJSBbxAMdVcuQcnUm23JNCqxbScBuN4Mp5FdJQn4TdmncW+/o8jtym0NAoVLwXf7F/APe7lFigI1uCn7NF6q72Zs16Yjw3Xpeocz7fkXAqtvHBN7vXrYXF6rPc4M23oFXz6ich8IIoHwMpGwJ7aqVoG/Og/dYVxUY+RnD+Gh5w7h6I1zTTWt+SwX/zx/Bx43iCRWfucIgKmSkOtNVhUCuD84CKWByGq1utdlM3JMici+9aXPsZR/Yn5dFvf5L//KxZwO9lMdlIlcl4CeLjgrcNZI9tR9glmvGEfTCunxuEqmLhYTXgSRKHhdOZqfO+3Int5xftZmdh4rElGfn7WZnceKWOkjJHzj3ALwNCTH1lzO+W+VPzLGfgXgPwE8DuBuQVtfcM4Xea4wXnid10EV9s50qtt9dWkROn9zIfIchr1rS2y3/2w/xlTtcz3D6WUZeTO9unYr/ubI9i9HnsIPbv527PUa4XAJyy3jhgAukqN7+rnZXF4LwFZVKSG9DqIoo/X8EoTf8TKRsCe26raAvzovFGlllhD2ifRncdu6TPS+8A5dTW16JuFjg0hixaH0VMt0/Ee3b6HYZLLKqlqt7nXZjMhe0TI9ZGcA+wSFLbsjHPQi99lucRflPugVGbH67PX0nEEnofNqWbv3tOtn8cix44ZLBEzxItcZQSQYXleOZh0jJ41F0DvOz9rMzmNFIurzszaz81gRK32EhC/uDmMsF8DVAA4D+J1m86MAvg9gFmPsfs75lzGWF3+ikdfBJOy9s0czhaES2xUbAHg3w+llGXlhuy6S9sZFrxFxTH4cprehBqj7X2Cfw+UWMagqZXh/XUZRRut5IAi/4mUiYU9sbV0mtoQQkoPrvvR1+PWmCbqa1HqUSGKzhLCXv/4Cij9/2LD9EKlWG3Fd2ohsg8ixVs6woOUulAcLQsVdCv+u45jKKcampm8jyK3dN3aKuyiONQW9+7RiU4blfVZQIsBE858ovNtqXc0YMH8W3z501tGSTM+qZBJEAuF15ehew68B9i+zlfuIMfm4BNKWavr8rC0R9BESvnBuAbhK/vkm5+EjPs55E2OsDJLzqwjAJgF7HRhj/w6gL4AvAewG8A7nvNVDzbEh2qW2YxH2Hs9qTl4R73Lvatzk4YhS8mNhvMgbB8SvqlQ0ys4TRBLjZSJhT2wpuZJsDE6LAjU4eXg3DpwoCNNkpMcsIezVjX8CAu5zN0ZcV+FsfMIvxtFXFpuWEi8PFggVd3mYl6Mpzbrqr7a4ixYzx5pexFfl0UH4ZNci9BnxrdDfzO6zncgxwDhyzAi9Z/HAiaa2JZk2X3I8q5JJEAmEXuVoq6pwZpWj++WPxN72QzG4eY/Q+RkDPmw/FEN08h75WVuq6fOztkTQR0j4xbl1ufzzgMH2WkjOrYEQc271ArBa87dDjLE5nHOhjNqMsV0GmwaJHO8ZsSq1HU385BhySrzLvQPeOYZiEPWki1d54xTiUVUqWmXnCSJJ8TJhqie2lFxJNhPCFgeqIzTZ1ZPH6jEmIL5EX1utVotWz1vnBmFx8yOmg2PR4i5mkWNalOIuv+y5AZd8Hj50suNYU5ZkBl+7FWBt/YDZfbYTORZEwDJyTOQ+lx1sdLQk89iFI3CJX8ZlBBFjlMrRRczEuR0chNKWGajgBZaVo4PjH0DrW7cJR43y8cZjWT9rSzV9ftaWCPoI/zi3uss/TxlsV/7eQ8DWcwC2AfgQQBOAXAD3QVra+AZj7ErOuZNaa/EhGaKe/OAYUnAa9RTviCcvHUPxiHqKVsRTLKtKRTuKkiCSEC8Tpnpiy2Hf2AVnI85vV09xoBqA+BJ9tWNNLxLMSI9Z5Jid4i4iVX8VyoMF+FvBDPxwaEuoLd565Bx+XpMl7FhTfg8gvB8wu8/ayDHDSCoWwNsDHkb5nnzzyDH5JULt0DO6z3aXZFb0vgMh1xpVQowaVHndnxQPyMRfR9ZixO4lps7t1e2WoOqKxRg14DpTewXjp2F7wyKM2L3ItJBHK2eSvfHTElJbqunzs7ZE0Ef4x7llhfIxW44gOOeLNX+qBnA3Y+wMgPsBLALaxhcmdkboCpEiukQqaHtDMkQ9xdsxBHgT9RSviKdoOIZiHfUU7YinWCyvTYYoSoKIMV4mTPXElsO+8Qw64SLN+e3qcVrdz+g47fmt9IQix2wuyTSKHNPVk5UXau/qyg6hdu/e0HanVZOtrkuJHNNL5g8g1J99ciwHM/f+zjJyTJvM3+g+WznWtEsyB18y1rsIbEIXqrzuY+q2YHT1YsDCuZ3GOEbtWQQMv8LyuzD6ph+hOqs/2LblGKJZKqYsCePjH7B0MPhaWwrq87O2RNCX6vjFuaVEZnU32N5Ns58TnoHk3JrgwkbsSYaoJyB+jiHAu6ineOV5ipZjKFZRT8kS8ZQMUZQEEWO8TJjqiS25b7SbK6ksWIBbNee3q8dpdT+j47Tnt9ITihxzsCTTKBJMVI9dxxqAUD9QPMD63HrJ/GeXFCDrimtC/cg3P38DswUix7RLMs2uy8yxpl2SWXF+I7D6Qe+W5hN6UOV1vxKlsWzB+GnA+Gk4XLMTx9/fAH7uNFjHbug1/BrDXEcJpS1F9flZWyLoS2X84tzaL/8caLBdWWBqlJNLhAb55wUubMSeZIl6SpYE4LGOeIqFYyjaUU/JEvGUDFGUBBFj9BKmWmGUMNUTW3KfygTbVcVBkdFvWIQmu3rKLHJXaVE71rTo3SMrPV5HjtnRY9exFqJuKwYW3S18n5UlmWP6Z+DHU64M29Zn929Ds+NWKEsyW3tPsLzPIlUy77j0CHptNa6SGYKKkTiGKq/7mBiMZfvlj0Q/O06FRNAGpLw+P2sD/K8vFfGLc2uz/PNqxlhAXTGRMdYVQDGAswAqXJxDGeXUubDhHB9HPR040YSyg404c64FXTqmo3hAZttgzkXUU6Td6Rg4y71jyFSvFpse8WOvPYa/FfQ2t2sz4smWXi1xcAy50qtHlCOePNdrYHdSxkj0c2JIE0UZLb2pAOVSSUyUhKlBAb9CgME0YaontibOB181HQzWfUMrZ3iqZXqbHU27v2DEMHznMIT0fIRsnMoaje4N2613RptjTbsk0Owemd0fryPH7Ohx6lhT+gHXn7tSJRP2kvk/OEL/hHp6jHKdBRgwN30dzc5HH19WXvdNgap44udJTj9rU87j9LhU1+dnbcp5nB5Hzi1DfOHc4px/xBh7E1Kncy+A36o2L4YUbfV7ZaaFMdYOwGUAznPOP1J2ZIwNAXCMcx42vccYywHwlPzrn6N2IXr4OOqp7GAjSjfV6s6Gju6fgZ8ObkDB2/ajnqzszpv8JxRf9y/bzj5ru3nhywdsesQ5By75fBdefevt0MuErl0Fi4gn23r1iOFSOE/06lDXxJBr+yhYRjw50ivgkDSyuxjA693ESwADCIuijNb9TRUol0riUjwgE0tmDMXCtXtMnRMBBiydMcz0e+CJrdwSsBtKwV+dB4agaa6kh1ruwg3Tb5Uij56L7MsLAVRcMgL/dfwavGsSmaXo6X7Rw8KTVa2cRVT3G5dWjRmDu2No4ydAt8j2y+z+KBFgwksyITmCzCLOrD4zRc++V9Zbn1APuR9w/bkrVTIFT6vcn8KW3QDGRmy3o+fpKZ3R/R0xh2YImp13gu8qrxMyfk7r4Gdtbs5D+vytzc15KN2JKb5wbsncA+nFZQVjbDKAGgBjAEyC1FE9rNq3t7z9CBAWTHEzgAWMsc0ADkGqlngZgOsAdATwOoBfRPUq1HhZ4c7j5XBrdnxsOijbfugkvjz6BBCwN9O45rNcS7uzVlZi6YxhmFkkmvZATG/I7qg+0h9tesT18ovo2o2WXj0cLmn754kWfMPG/p7p1bH7x/Ku2NBe/IUqhEneONt6BZ3MVnZ/fuZ6rG5XLZYUWRVFGa37m2JQLpUE5pZRfZF9YWes2FSLSh0H75j+GZgr6OD1xFbhbLAefXFq/RPo3lAZtkmJmNqYORs3XDsTxadfB1Yb9+VZJ3dhdft/4pnu8/DkiVEWevqYTlYpDiUlCXl5sCCyut8BtL2+60ySGd2fWp6NyuAg3SqBejAAp7LGICNtGODiM7tlVF9UsX8D/r7KVT/g6nOPwkuEsJ7Gvzk7N83O20XJ22uUn1f5ew8BW8/Bo8rrvilQFU/8nNbBz9rcnIf0+Vubm/NQuhNTfOPckqO3RqJtycm1kJacrIC05EQkqcVmSDM334C0DPECAF8AeBfS7MtqzrlgqR6XRKPCnUcJwMsONlrONjpN/vrH2jcQtKiqFOTAgrW70fvCTkIvMiJ6de26KPkeF7162CwMoHxeC97PwE8LGz3VexnqUfPKehypvwg5l/SyfO7a7Np7oQJgmjfO7v39xmevIa/SJNeJ7GSuHfMEFm7ta2pXWx3LEFUUpafPQ4pCuVSSg+IBmSgekOnJ0lxPbOWWoPs9JUBDDRo+2ID64w1o4p1wsmcRhgwvwiM9uwr35QxB/MfpUnz75r/grXODzPWYTFYxAMgZh0+H3YfB5wZh5eG/YVLtUgSMllAaTJIZ3Z9LOy4C/n6rcJqD7lMfwprcK3HgRBM+fL8CGScq0JWdRXavLDlZu1hbVThyLLBHPNcZAN1+wPHnHqWXCCE9R2l23icoo9mYVV4nZPxUHMurc8RCm5vzkD5/a3NznljpS1B849wCAM75JwDmCOx3GDrR5XKYsD9ChaNZ/cBlAvDSTbWWL9pOk79eyaqxH9aVjYIcWLGpVuglXkSvrl0XJd9N7VrgWK8eNgsKKBEH+4PZnumNiBr4QP4HmC6tVdstbZmB1e2W2I54cqJXTRGrxmUVS2A5luVBXFaxEEVsIcq5edJnpTrWw11eiygBDCAiitLT5yF1oVwqScTAnl09yzPnia2sfGRNyUeW3jabfXmf3U9hzpx/WO9rMVnVB8Ccui3AW08AVrnBTCbJIu9Pf4DZTHNQtwUDty7DQHU/9BGAskfF0ysA7vKHau7TwNyJGFhsYxwU5ZcI0+eQZudjBVVe9ysxKI6lV7VOKNG3n7WRPl9rSwR9qYivnFtJg4+rHxw40SRUcSiaVZUUKg+dxIETTaYvJqJ6de06jHoyyi/iRq9ZFSVLuxPng6+eDmYzR4sX93dm2uZQlJJuFJ9B1IDWrjbiySjHDWcBMJO8cXafh3npaxGwnqQFAAQgVccqb7auaFYeLMB1pwuw5bae6Hdqp2EUpavnl5LMq6FcKkTsiXe12mhNktlJc+BlegUn+UO9yFsKxPclgmbnYwVVXvczUSqOVb3tFQS2Lcfg5j3hRX/2L8Pe9kMRHP8ACsZPS1xtKarPz9oSQV8qE4i3gKTETfWDKFN2sFFov2hVVdJipUdUr+5xymBWEKPKVHb0aLePDVRjTfvHsLHDfCxqtwo/bvciFrVbhY0d5mNN+8cwVo6QM7WbW4Ky/EfQyiVvkHZhrfK7OkeLU71a7erld4ZRfErUQN0WU7svtE7CrPMLURHMj7Cl3PsN3/hv0xckO8+DemmtCEp1rDxWL3yOzScvAoruljqbort1k9M7welxSYzXuVQmQ3JwXQBgKIDfQ8rf+AZj7ApRUZzzEXr/ICW7JxKdePblbhxrIuSWAHP+AdxTAUx9Epj0E+nnPRXS3xXHkp30Cqo+wJDC2cCsdZLjSI+ccdL2wlmSY231dOP7oDjWqrR+agMmzpdeDkTQixyreEZyCFY8I36fAdtjEQA0O++MzfLPqxkL/6CTpvJ6IpNbgu0FjwqNZXcMXSTktN7+0m+Q/9ZtGNy8R9fe4OY9yH/rNuxYW5q42lJQn5+1JYK+VIcit6KBj6sfnDnXIrRfNKoqOdFz5lyLadSTpV0bHnFtZSqnehXMop44B8YE9mF1uyVY0HIXzpwzmmiU+OdF1+Pp8+cxN30digLhg2rFMbSiZXqYY8uuXi3z0teKLSMEIqIGjOyWBwtQ3lxg+Jnef8FATHWoV4vdpbV6BQWscHN/o3FcCkO5VBIIL3JueW1L147DPrmq9mOUfVnrSk/DBxv0l0laoUlCbnl/Yhw5duBEE8qO5eBM398g+9LDKA58iKz25yMjX2041oKvzsVRnok+I75lvq9F5JgyjnESOWZ5n2l2PuokdeX1JKDsYCNm7cxDEVtoOZat2DEAq4eZ542t3vYKRuxeZDgBq/yexjgKP3gU1Rf3M4yk8bO2VNPnZ22JoI8g51Z08FN+BU2eiuyWy4QOc1JVySrqSY8uHU0ewbotuHnPY/hhh8i0NpXBQShtmRHhzImwazWY5W0l37VRT7b1qrZbRT2pG7+l6c9i45cj0BYxr2/XyjHkRq8WpwUFlOU4Vuet5dm6DiSnenX3jcHSWi/1enFcEkO5VJKAsoONKN1Uq7tUd3T/DMwTrJbopS0zO49mNVonAdXh1X1NeP7DtpVPTvSM/rgaP27n4OSyQ871/ZEjx0IOHxFMlmQa68lr06NOTm/DsRZAEEdfWYz7d/awvi55SaZulUxI45g3M2djcrdvoVhgSSZfNd2wSmbYfXayJJNwQvJVXk8SlPyj5VxsLGuVfzSwbbnwBGwa42DblgMGTgY/a0s1fX7Wlgj6CHJuRQc/5FcwmG2cDuDS9uaOIQU7ScA5C1hGPelh+AWVB5W9eNAy6unF1hJzu2aVqUyinmzp1Wy3E/WUxjgmHH8OwHeFzmvkGLI6zs52pwUFlKgBpw2vU716xGJprZd6vTguiaFcKgnOmh0fm1YN3X7oJGatrMTSGcMwc1Qf72zlnDGsLmxl5y//ysWcDhB28BjlbRS9NrWewWnO2i906OrNvZaXVtrtArSRY4CDz97mkkxlSfnnh3dj1sqT1vf5s1ws/GQeLoPBS8SnwIE/rsTY9kvBLJL5MwTx/S9+g22BhRFjiIjrspPrjHBE0lVeTxL08o9ajWXN8o8ertkZWhImtLqEA0Oa9+Bwzc6IZN9+1pZq+vysLRH0ERLk3IoG8a5+YDHbaOUYUlCSgC9t9wfzpNxyEvCWHQMAG8mzx/TP0P9yapYjWEU9HeWZYYNKXbs6lame29WIv/wrVzjazFCvioE9u2JG9mmMaRSPeuIAOn9aYZqEeGDPrhjdP8NWcnJRvXp2nUY9KVEDsdarR2hpLQRfTGFvaa0dvZ8f3i0cbSdiNwUJy6WirphIuVT8T9nBRlPnhkKQAwvW7kbvCzsZOnhFbRWxauS89higF32cU4zqAT/AwtfTTe3YjmA2ydtodW3a67KbGkChKn0YFr7k/l4fOXYcOeKnbUOzlNPRZ99oL2eZdkm56H2uhfFLxA/T11o6thTSmHExkoj7bFElk3BPUlVeTxLc5B/VGw8df38D+sF+2onj72+IcDL4WVuq6fOztkTQR0hQQvlo4SZxqRsE81QojiElobkRfwtOwt7JfxJK/jpvch4Cgl/4AAPmTjZYhmdjOYIyqBSyC0iDRzkB+MAbHsBHEHNsWdpVcV+/owBsNH7KfyySEHt2fwXsOo16Ui+tjaVePZQXU9H3QjtLa4X11m3Bs60/tSwoYNtuiiHnQ3kT0tKRezWblVwqq9S5VBhjgxhjYeuwGWNDGGMZWvuUSyW6KGH3IgS5FHbvxtbMtM1Y3W6JtLRab4cjZRi86TbcFNhiqae0ZUYo0asV2ryNeawet6etx31p63B72npchnrDa9NeV6j9shM6lTMOS3cxT+7124ccTnBo0is4+uwd5jpTJmXMrktEj9fFSHT1qMYiesVICCKZ8Dr/KD932pE9veP8rM3sPFYkoj4/azM7jxWx0kdIkHMrWij5FawcXF7nV3DhGNISYMDSGcOkRHhWVZUgLaVaMmOopeNBsas7M+9wOUIeqze3q4MnenXI7eowWt1iQB8tvXp21VEDtlAtrfVMr6ZKVXG3fwnbPXvlj205mc9e+V/e3V+50lf3hu0RL9jqpbU3p22xZzd1uQfS0sEVjLGXGWNLGGNvA/hPGOdS2aSxcTOATxljbzDGnmaMPckY+xuk6oYDQLlUPEcv7N4KJezeia2IfIcG+wUgNsGjRDAbObj0qtWaVcn9r6M/wie73hC6LjuONbAAPhl2X8iO1rFm5HjRu9cHTjThL//KDbs+K0L7qfoAp599Q7OTZGPhkzJG1yWix00xEiOMnmmCSAW8zj/KOnbT/bsVesf5WZvZeaxIRH1+1mZ2HitipY+QoLsTTWKdX8GuYwhtjiFttMqY/hmYq03MalZVSeaWUX2RfWFnrNhUi0qdQaSuXTU2S6grg8pbL67DwBtusu0YcK1XjygWFIiKXh27dpfjANBdWutKr0mVqltyijHk2h/gZ3uzrO32PCucxHdS4Uyszmt0f3+1S2u1p9Msre3Wsz+uunYmObZMoFwqiYmXYfcituzmOzRaTqbmhdZJqOcX45c9N+CSz8MLnGjzNopUyQ2+divAVgCFs0yvS3GsGdpDeHW/t84OwtjAC5iXvla37TYqxKK912UHGx0tyTx24QhcouoDHH/2wSG2ypUa5TrTuy4RolWMhJaSEKmK1/lHew2/Bti/zFbuI8bk4xJIW6rp87O2RNBHSJBzK9rEMr+CXceQ/PN/rzqLf3Qe7ElZdkD60hUPyHRWot3hcoQ5IzIBF42EY716RLmggC29Np47rd1Pj81FsPo+BETyjpgsrXV0fwWqVBV8/B7WXL8CB2680dyuTSezJ8+DzQjKR7r+Axhwj5jtFIZyqSQeXobdW9myW+VVHflrtRy5PFiAvxXMwA+HtoTa1K1HzuHnNVmhY0Wr5AYQBF6bC/ToA+SWmF6X4ljTLREOhLVfff93eagIjJ1CLNrzK7/bKSrTyhkqet/R5pRqqEHuR3/DfWlHLPMMaqlP72crb6lRrjOj67IiWsVIaCkJkaro5Uu1qgpnln+0X/5I7G0/FIOb9widnzHgw/ZDMUQn75GftaWaPj9rSwR9hAQ5t2KFQNSTaxw6hrLan8ec4v4ei5G+tLa/gFGMerIiQm9DDVDhwCEZo4ICpvfXJOoJOcVSTjiDiME2u/2B3FbPSpcLPw+CeePApRfEgbP6YGCx+bmdOJkdPb+A7QhKAJLTzaSgAEEkKl6G3VvZcrOcTKQCbZeO6UBWXuh7Wld2CLV794a224kaAw9KDvfcEsvrKg/qlwi/YsINmH7NFGmnui2YVPsEAhaONb1CLNrzK79bRo7JvytLMgdfMjas75kIYKJqhaFR5JiWLh3TpT5q9XShSQK9XGfFgWoUf1oGVPQNtfOiz6LdZP5GkWNaaCkJkcrMm5yHWSsrUcSqLaNLK3iBZf7R4PgH0PrWbcLOdz7eOLexn7Wlmj4/a0sEfQQ5t5KLODqGPCPKUU9CuHAMhbAxMPe0oAAgFPWE1dMlh5S8LMaQeJQutxH1pH5BFCIWTmabEZRhx5Fzi0gyvAy7t7IVreVkRudX/243agxAyKldPEAsoklbIvzN4UVtG7cuE4uyReRyTLPrMo0c0yzJrDi/EVj9oG77bRY5pkVaTt5fylsq92VWjjUl11nYy8FH8j8AyCnGN4f9EIsF7o+XVTIjrosgUpTiAZn468hajNhtHV1adcVijBpwnam9gvHTsL1hEUbsXmTpfK+6YjFGjZ+WkNpSTZ+ftSWCPoKcW8mFHxxDgLslmDGKejLEK8eQUlDAo6gnYWxGPSnLYkyJ5dLaZIh6chhB6fg4gvAxemH3VhiF3VvZitZyMiNNaj12o8ZC1G3FwKK73d0jF4VYMvoNM70uwDhyTL1c4o5Lj6DX1ocN+x6zyDHD61JNrjDN5IqdXGcAgCNl6PPxe3iw5zw8eWKU5T2yuyRTL3JMfZ/07jNBpBR1WzC6ejEgEF06as8iYPgVluPT0Tf9CNVZ/cG2LccQzVIxZUkYH/+ApYPB19pSUJ+ftSWCvlSHnFvJRLwdQ15EPAHxi3ry2jFEUU/2SYaop2SIoCQID1HC7oMCK/YCDKZh92a2orWczEyTosdp1Jji1HZ1jxwWYhmXVo1vTr5Jdx89PdrIsTA96etsV2rWJvLXvc/y5ErVznK89vL/4QIe6VizynUWggdx96lSlAUW4F2Lz7w8WICHW+7EknYrwXQi4pRk/qaRYypOtY4G6h6mlxIidYnS+LRg/DRg/DQcrtmJ4+9vAD93GqxjN/Qafo1hrqOE0pai+vysLRH0pTLk3PIbbqNj4uUY8nIpXLyinqLRwFDUkz2SIerJLxGUBOETigdkYsmMoVi4do+p8ybAgKUzhpku3zKzFY3lZFaaFD37XlkvdM4IZKe2q3vksP2bMbg7hlpcl4iep6d0Rvd3tgufVy+Rv9V9Lhw5FrU8W1ePnVxnDEH8qtebKDpWYHldhTfOA7vo27oTVAxAQ8ZI/Nfxq/GuVZVMAN0btouPgQgi2YjB+LRf/kj0s+NUSARtQMrr87M2wP/6UhFybvkFr6Ke4uEYisZSuFhHPUW7gaGoJzGSIeop3hGUBOFDbhnVF9kXdsaKTbWo1Fl+N6Z/BuZOzhPKS2Rmq7RlBv7cfgkCEHB2sAC6TFmIMXszUHnoZMRysqZLxmLG1CmWmm4Z1RdV7N+Av6+yl3MLCHNqO75HDtu/obnmOaKE9TT+zdZ5tYn8RT97PT1Ocp1lndyJv910IZ7cxQTucx/DCaqsrHz8x8FGXP76C3joM5Mqmcp/7IyBCCKZ8PP41M/alPM4PS7V9flZm3Iep8fRO4Mh5NzyA15GPQGxdwxFK6QyllFPydDAUNSTt7h57uJZUIAgfErxgEwUD8jEgRNNKDvYiDPnWtClYzqKB2TazkdkbGsCAkcvEZ7gKSichjW9t+CrjaXofKwyfJ/GVcC2YiBgPblUOHIssKcYzKVT29E9imK7KaTnqLM+5IZBXXHr1RNsffZaPbkfVQF19nOdFbbsxpof3C1+nw0mqIoHZKK469+Bk/arZBJEyuDn8amftbk5D+nztzY35/HTe5sPIedWvIlG1BNgyzHk6kUjFiGVmkHlgRNNKCs75OrFKIIoNjBevMiJ2L2uuR2ynBjSzPp7olfnuTvAs63tOoh6+urSIqyp7Ygze2q9ub9eRFFaRFAq+VqCCKBh4jL0ohcdIoUY2LOrZ8m1dW31tDHBI08udfZicsmNU1vTZg7MnYiBxf4pxGL6mTmMHCvM6ws4fA5Celo6AnUODMh9t+tnkZaVEIQ1fo7K97M2N+chff7W5uY8flqt4kPIuRVvop1IzmQ5XNnBRpRuqtWt0DS6fwbmiSwRiWHEkyd6Dewe2NWIObaPhGkDE029enb/wjphY4c2x4kw8uy9N8/DFkPH0OfBQdjYMiOsQpauXRsviEEw3Hn4KpTX7XWmV0vVKvBX54HBoPT8kTLwVdPBbhB40TWJoGRQVfpafylG73/P8fNAEIQOIhM8Xk8uOUkL4IdCLG6jo+MZcRvvl4NkiPomiGjjp6h8r84RqzyppM85ftbm5jyUo9cUcm7FkzjO+K3Z8bFpotjth05i1spKLJ0xDDNH9TE25DDiaU9dPYYWie/vmV4Du5chF3M6iFfZCmHQwDjWa/GSYWbXbjJlAKHZe0/ur8nyWs6BMYF9WN1uCRa03IUXW0uM7Qq+IKqrVDnSq6VuS8ixBRiX42UIgr86F0wkilJ+wX7j7bex/e11upW+HOslCMIas3yH0ZhcspMWIN6FWLxyrMUzz2C8Xw5oWQlBWBODNkKvap1Qom8/ayN9vtaWCPpSEXJuxZM4zfiVHWy0rIAEAEEOLFi7G70v7GQcUeJw9nPt3lM4fbBRKFLFU70Gdmvh3DHkid5AteVLRlmwwNJuacsMrG63RKxylDx778n9tYiAUBxDaYxjafqzOMozQ04pXbsWL4ihqCeTcu52n4dT6x9Hd52S77rXgyBOrX8C3e8psdy37GAj7t14FkE+1XQ/u3oJIlHxcqm2Y1tRmlw6cKIJZcdycKbvb5B96WEUBz5EVvvzrqLGgq/OxVGeiT4jvmW+r0W7eezCEWgZ9wD6FH7LtmPN8j7birgN4JWut+KLskOSHVZvO3KsTU86bu4xAr2+2GV53hCqvtv1sxjvyDGCSBSilIu0etsrCGxbjsHNe9BPvWH/MuxtPxTB8Q+gYPy0xNWWovr8rC0R9KUy5NyKJ3Ga8SvdVGvpyFAIcmDFplrjl22bs59KZNS7rQXYa2ZXhahepdJV/cvrgXFDLAfIWrtOHENu9ALS/d3z2m9RfHqF5UvG7m7zEOSjTO2VBwuwsOXOUElyU/3y7H3p799z/zzYiIBIYxxz09ehvLnNMaVr12BZ0X/t7I619d3c6dXSUIPuDduFI/c4B7o3VApFUXr6fSOIBMbLpdqubXk8uWSsJ69NT5ZKj402M4Agjr6yGPfv7GF9XXK7WbWzHB+88wo+++yztmjRY9nAi0H8v7Kn8cjJh0NRqoZwKUr1Z+824Y+f5kRsDrvPgnkGpYjbO/Hizh4YG3gBg9PXAnqTSgaRY3r3+b3ANVjdrsr2pE7pplp8fnh3qELmZ+iEvwQLcGG/YcLPYlX6MBTCu6hvgkhackuwveBRjNi9CGmM66d+YFIbUTVsEUYJRI1uf+k3pvYGN+9B61u3Yce/FmPUjHmJqS0F9flZWyLoS3UC8RaQ0sRhxu/AiSbdlwEzKg+dxIETBg41JaRSEMakqJtanm1uV0ZE79hANda0fwwbO8zHonarcMuZVcD6B4Gni4DnrpVmyAXsKo6hVi61KlwzTg79rl7W4UCvVvtdX5QKzd5//4vfYGyg2tLmC62TMOv8QlQEDZwuOeOAWetCs/GunwebERCcA0WBGuSxenO7Cln5QNHdwMQHcKD/94QdW5Z2VTR8sAGA+MuJsp9ynBGef98IIkFZs+NjzFpZafh9UJbmvrDjk9jY8nByybYeh23m54d3C92jNTs+xnde+hyLGybgqdbpeL51atgy6Gsa/2Tt2JJhCOLqxlW62yKuq3C21LfkjNOxI/X9s84vxIutJZiZthmr2y3BmMC+iL4WQFvkWNXqsOvSu88RfbfhxUh995rPcvHff1yJ+4/+KDRu+HG7F7Go3Sps7DAf9x/9Ef77jyuF73NlcJA9xxYtKyFSkLKDjfjuzrzQ+FQv9YPSRtyyYwDKDjaa2qve9krIIaAcr7UHSBOqhR88iuptrySktlTT52dtiaCPoMit+BKHXBFGXwol6qkL9HMClR1sNA7VnzgfwVXTERAYLLdyhhUt08XsmuhVmJm2ORSlpDtzapCzxMjuC62TUM8vxtz0dSgK1IRtY0xa1nHJ9T81zENit9GZl75WbLYZ+hFPRpQHC1DeXIBfT2qP6d0/Mlzu4bSRDPvcbEZAKJ9RcaAata3ZYdvcPg9mx5nZrT/e4KjSpNVx0dJLEImEl0vLvbJV18SQK3oBajSTS470NLprM82uy0pPHqsPOZREo1SVyQj1mEAh4j5rIm6PHDuO53d9hndb28YUYwPVYdHFhjpUifytluWb9d0AQrnOyoIF+OdzS/GndvrjBiU/5Mh2S/DQy43ofeGDlvfZq6hvgkhmlCj2ci6NT63eO6yi2APbltsaP7NtywGDZWJ+1pZq+vysLRH0EeTcii9xSCR35lxL2O9jA9WYl75WN9dUZXAQSuXqdtrjwsgtwea8h1By4HHLkEptAnBTuxbbnQyQFaeUmV3FMaTXwNxQcBV+mJvnSK8Wr18y9KhP7wcUTTHcbkev4XEOIyC64KxtPZ7o1aGJd3Jk1+o4J3rzWD1yP6qSStw7qVxGED7Dy6W5ii2rAaCVracO98avIL6cTFlWp51ccnRtg9y1mWbXZaWnWI7+tRulqjcZoaCrR07k/8Dv38P2lvBIKzuTOkoi/9Lmn1jeZ3XffevFdZgzIjOiDd204mk8bjJuUM+6P5H+LJ54vT+K594TcS71fdamAzAaA5lFfRNEMqMXxV7Lsw3bFKAtil1vou9wzU4Mbt5ja/w8pHkPDtfsjEj27WdtqabPz9oSQR8hQcsS483E+dKARwQPZvy6dGzzZ5otC1BXt7s5bUvYcXp83O87QiGVSpU8PT1WerU4GSCLnheQGpjnW6eGLetwo1eLm5cMUbzUa3icw2WyZxDpGIqJXh1O9pRKd+ouj9FB2U85zul51aiX106s+wWw+eeWy2sJwu94uTT3wIkmpB95J2wZuno52Zr2j0Us3dazdeBEE9bWd7O1nIwB+OrSojBHs9Nra2huZ+sYBXWbaXRdVnr0JhVEsDpOVI96UkeYI+/i88O7hXev5dlY3DABBwbdLS1pVyWPv6bxT7Zm3ac0rhK6LnU6AKMx0Cff/ot11UuCSELcRLHrcfx9Z6kklOMSRZvZeaxIRH1+1qY+j1/1ERIUuRVvnJTvdoEys2oV9aStbvdpx6sA9De1u9gk4sko0sgqtNJou92oJwBhla6chnQ61atHtF4y1Hip1/A4h0UFynQqHbrRa/bcWdkdMrwIlWXi1TKVl5Uhw82dW6L31+nyWoLwO14uzW3Y+mxo+ZfRcrLV7ZZgQctdYRMpWluKJjvLyVo5wzu95iBU87ShBiffXov70g5Z9nMR1xYcgunWu4UwajONrssMvUkFEUSOE9Fjd1JHfZzZbLaIng/fr8B0B9HS696vwMBr2iKgje6zWdR3Lc/Go+cGYY6tKyCI5MDrqHt+7rQje3rH+Vmb2XmsSER9ftZmdh4rYqWPkCDnlh+wKN+t5IrwIpR9YM+uUoWjo/ZyPfXZ/RRgUoZcsbv90EnLkEqFMf0zLMMq1XbVOB0gK5WujOxGS68e0XzJALzXa2jX5vJadVEBL/RaLa19M/M2IbuPZd6GkZ89JPyiuzFzNh7x4P66WV5LEH7Hs8Fb3RaM3fszBAQnZI7yzNASeK0t5XfR5WTKkvq+F4zA1LotUqXDI2UoAlCkCsJSL+U3oz69nydtptF1maE4yOw4eIwmI7SI6InFpI7R+TNOVACwP+suHdfm3LK6z0ZjIHohIVIVr6PuWUd7hYXMjvOzNrPzWJGI+vyszew8VsRKHyFByxL9Qm4JMOcfwD0VwNQngUk/kX7eUyH93cOX2QUjuK1lARxoi3oyYd7kPAQEB40BBsydbJy7ysqu0wGyOj9ULPXqEXrJEJMQ2k/kJcOu3ssD9bg9bT3uS1uH29PWR1QytLRrY3mttqiAE73K/RVZWvuTkw+HVdwyYvK1M/GwQLXMVs7wUMtduOrambb16m53sbyWIPyOZ4O3rcuEipYAbcU3jGypfxdZTqYsqf/GZ69JEZQ6TintUn7La3PRZuYxqb0u/vQ5oOKZUN8sutze1nJMA8eaHmb3WSHakzpm5+/KnI0btMfRCwlB2MPr1RK9hl8DwH4qCeW4RNFmdh4rElGfn7Wpz+NXfYQE9bR+Q07CGk0KW6TcFXZyjQAIRT0ZUTwgE0tmDLWsHBVgwNIZw4S/nHp2nQ6Q1fmhYqlXj4+QjYaMkcg6uVPILgPQkDESHx0zf8mwpbduC4q3LcOG9pEva9ooBFO7FstrzYoKOL2/r637P6GltQxiEU/FAzJRf+Nc3LbuYtxnUC2zIpiPp1qm44bpt3ryPLhdXksQfseTwVtDDXCkrC2puwXa4htaDdrfrZaTAVKEZXHNUsP0AWaRY7rX1rN/WJspUoglIkr1I/kfAOQU45vDfojFAvfH7nJMrWNNdPm3bpVBm5Fj2uPsoD1/dq+stvtlg+xe4TVx6YWEIOyhF8VulcLELJq/X/5I7G0/FIOb9widnzHgw/ZDMUQnqbeftaWaPj9rSwR9hAQ5t1IRh9XtRI67ZVRfZF/YGSs21aJSZynWmP4ZmDs5z/YgT2vX6QBZmx/KE71yyXN83RSqzHTLqHwhu1mBR6RIALN8awosgKxvP4LVwQJv7m/VKlNnlDp/zcd9Z1jbNVleqziGVrRMD3vhc/M8TN3xFtIabEY8WURASs/DHfj1pgk4eXh3RAeT0W+YJ8+vgtvltQThdzxZ+ly3FYCYYwsIL76R0XdYxEDQSJPZkvqfdHkNrNle5Fh5c6RDJuzaVG0ms2gzRfLy9fn4PTzYcx6ePDHKVJ92OaYRpo41FUbLv/XusxI5JprfEACQMw4XNg8DXKYRyLriGqDsUdtLMrOuCJ91j1ZaA4JIZuZNzsOslZUoYtZV2it4gWU0f3D8A2h96zZhJz0fb1yQy8/aUk2fn7Ulgj6CnFupicPqdqLHFQ/IRPGATBw40YSyg404c64FXTqmo3hApqvBndbu0cq/ovfpKnEDOeN0HQKO9apyr0SeqxjFE+ej+AclFnZLbBcUKJY1u7q/dVtMz6mOQljW/g9gU64DcgUcOrkl0j8dh18Gz8aUg4240ovnoaEG3Ru22ztGMOKp7XkoCN3fizqm41aPn98z51pQ/GmZo0gCxw5qgogDyuDNLJJVQXeJssPnvSs7azgQtKPp8kC98EwtEBk5pqB7bXKbWbWzHK+9/H+4gOtHjYnm5bv7VCnKAgvwrkWk0wutk/Apvxi/y96E7g2VEdtPZY3BvfWT8a6FY02ZCBl98mGgqmtEwQu9+2wnckypEj0vKNm5DNYFawyXuWfl41TWaOG+gzHpPnTX6TNcP9MEkWIUD8jEX0fWYsRu66IgVVcsxqgB15naKxg/DdsbFmHE7kWWOROrrliMUeOnJaS2VNPnZ22JoI8g51ZqYrO6ndPjBvbsau0M0HGCWDkfQnYvedRW1BMmmnvPhfQqmEQ9AQirbjewcJa5XYcFBWzp1bJ1mdh9A8AEo57C0FleOxDwbuZajuRwdJxgxJOr+ytqt6KvM+eWUwc1QcQB10vAHT7vVw27DN8wiLK0pWn4SWCv+HnVkWNKJJjV8uvCkWNRy7N19djJy8cQxK96vYmiYwWW13XD9FvRfdSDuv1w96x8XL/jY8Dl8m+9+2yVyL/NuGpSp24LKi75JbJO7orYTb2E3uo+d5/6MPiq6ZJeCzgC6D71obY/qO5TcYeu+N2Ugbh341lP0xoQRNJStwWjqxcDAkVBRu1ZBAy/wnLcOfqmH6E6qz/YtuUYopmAUJaE8fEPWDoYfK0tBfX5WVsi6Et1yLmVyDhwDAGwXd0OgGHUk2Msop4wcb71l9ciz1MI1QDZEyyinkLYqW5nEvHk+fIzOX+NLfyW5ymKS2tjSowczQQRb1wtAbf5vCu5ub5RcqMnmr5xdK8t55aCUvhEdPm1nh4nefmyTu7E3266EE/uYmL32iDXp1fLv/Wu64XWSajnF2OuTn5DAOGTOvJkUhYPRuRdU89q/0+PH2HY9feZ3+fcErAbSsFfnQcG41xnHAGwG+Rxg8F45VsA/tlnNFa0TMfKT3MiTuV02T1BJCU2JlVFU0kAUiQNxk/D4ZqdOP7+BvBzp8E6dkOv4dcY5jpKKG0pqs/P2hJBXypDzq1ExAvH0MT5nkY92cJG1JN2iUMEDqOeXBHNhigGBQViEfUUdaK8tDZm+MHRTBAxwvEScJvfEwYIf0+ENDU6azfGFfTHDVdNsBUBqtWT+1EVUGc/L19hy26s+cHd7pave7j8W/8+D0bGgHsAVm88qaOZTNLeBvWs9n+cLgUCJQBKzDUWzgYzyXWGnHFgGseaUZ/fvWE7HmE7cdfUZXij3Tc9S8NAEElFDCZV++WPRD87ToVE0AakvD4/awP8ry8VIedWouGVY4iinpyRDA1RMkQ9+Sniye1zF09HM0HEAUdLft18TwS+o6aaHLYbRZNnAFnOHBwhPS0dgToHBuT22tXy6ihMhOjrMZnUidZkksi4wcZ4pdfW+Zgzax3NqBOEHn6eVPWzNuU8To9LdX1+1qacx+lxfnmn9CHk3EokvHYMUdSTfZKhIUqGqCc/RDx5EUEJxM/RTBCJhJPviVff0Xi2N/Fsr+M9ERKLySSzcQMtFyEIb4h3WxKNc8Rqwpf0OcfP2tycx0/BBj6EnFuJRDQGWhT1ZI9kaIiSJeopWZbWAvFxNBNEomHne+L1dzTKkWOGxLO9jvdESDwnk5JhvEIQfiHebUk0zhGrCV/S5xw/a3NzHj8FG/gQcm4lCtEeaFHUkxjJ0BAlS9RTMi2tBWLraCaIRMXj5WS2lr/HI3Isnu11vCdC4jmZlAzjFYLwC/FuS6JxjlgV9iF9zvGzNjfnoaJSppBzK1GI4kDLVcJZG3avP9UIRzWDNAPVWOnVteuwQVl36jLUb6r1VK9ehQ7hpIY2ohA4C0jJdV2i3N++h/+GSbVPIGBUit1mQYFP+MVIf3c5Lvk8skS8m4gnw+fBZQSl5XMWC0czQcQRT9pw+XsSsrWnBV06HpJsOfiOHrhghLUmgcixT4bdh7fODkLf/13uqp1T36O8i2bjmo/fA3MQNeaqn4iCY83WZx+DySRDPQ4dZO/VHMK+1kOUUJ4g1MTASe+4rfOzNtLna22JoC8V8ZVzizGWDeAxAFMBXATgGICXASzmnH8eazu+IgozmGUHG1G6qRbbdUqFj+6fgXkOS1gb2T2SdgKL2tk2FxqoeqpXNetf18Tw1OHeWFvfzdqug4aoIpiP/9zcDOCAc70qqre9gsC25RjcvAf91Bv2L8Pe9kMRHP+AVKLWDIsoBKUceitnWHD+ThzZ2AHzJje6fh7GBqqxut0SBJhFaXmBiIo2u0EA9yOP1aM4UI0uOIuLLroIV0yYhsKRY13p1TIj+zR+1egsgrLs9MVR+b6lEtRHJDZetuFGtvJYPTZ2KANHZGU9PTgAduRd3Pubv6CWZ1trMogcq0ofhqW7GLa/eBJjAy84buf0r6srZqbdgaXt/oAATGyqosY86ScAVA/4AQYfKTc/r/r8BssxbfWzCjYnk0KfucBxVs/i0t4MubbOLrHh4Fd4fv/ekB1q12MP9RM+JUqpJDxp6/ysLUX1+VlbIuhLZQLxFqDAGLsMwC4AcwBsB/BrSDWC5gF4jzF2USzt+A6PZzDX7PgYs1ZW6g7sAGD7oZOYtbISL+z4xNbpzOyWBQsASI4TW+RO9E5v3RbguWuBp4uA9Q8Cm3+O3J0/w68a78aa9o9hbKDa2u7E+VIDI0ArZ1jRMt25Xu1xL/0G+W/dhsHNeyLuI+fA4OY9yH/rNuxYW2ptrHA2MGudNAuggTHJKTfr/EK82Fri2fMwL30t0qxe+BSUqCcBuwBQy7PxfOtUPNU6HYsbJuA7L33u6fMLAN2Olduyp1C15eWofN9SCeojEhsv+xwzW8VyGy7i2FLvV6xp+y01ZeUDRXcDEx/AmrRr8Z2XPnfdzpld1wutk/DvzQtRETSYsc0ZJ7XnhbM86yfW7PgYN7yejgXn70QrZ6HjtfYARC7HdNvPAm2TSYIwSP3WC0e6WF6X1bP4H+X2xlzKfVDGOYodatdjC/UTPia3BNsLHrVsS1o5w46hi4Qi7j0bE/tZWwrq87O2RNCX6vjGuQXgaQBZAOZyzm/knC/gnF8FqUO5HMDjMbbjLzxcl1t2sBEL1+5B0GLsHeTAgrW7UXawMXxDQw1Q8Yw0IK94RvpdwG4tz0ZlcBCY6FsHAOSMQ9npi93pVahaJXnHdaKuOAfGBPZhdbsluDlti7ldJerJwMGlyGzlDAta7kK5arBrS6+G6m2vYMTuRaGXJu19VH5PYxyFHzyK6m2vWBvNLUHZ+D/hmuZlWHR+Nn5x/mYsOj8bU75ehu82PxKm3a5e7fOQx+oxJrDPnnNTyRtnYtcIt3r16IKzQra0bN79ked6UxDqIxIUL7+zVracfkeNjrPS5FU7V7Wz3PIelQcL8N3mR3BN8zLUjXwEmPQTYOqTwD0VwJx/hCK2vOgn1Nf1QuskzDovOdb07FUE81F91fPS8kqv+lkFB5NJITs6YxXRZ3F/UBqviKLcB230H7XrMYf6CZ9SdrAR392ZZ9mWzDq/ELfsGGD5nfFyTOxnbammz8/aEkEf4ZNliYyxXABXAzgM4HeazY8C+D6AWYyx+znnX0bbji/xcF1u6aZay4GdQpADKzbVSmH1FslxNzV9G0GeY2qvtGUGVrdbIjarLYdflm50qFeNRYJhdWO0NP1ZHOWZEY6dMLsmuVeU2eMVLdMNHVuWenUIbFsuHA2QxjjYtuWAQEhs6aZa7A9mYz+yLfe1o1f7nIUiKuw4N4GIvHGOn18LROyeQSexE2to4mLH2dGbSlAfkdh4+Z21suX0O2p2nJkmr9q5D955BUE+QWjf/cFsLDyagTU/uDJim1f9hPa6yoMFKG8uCFv+fQadUBYsQC3Pxpi9GVjTe4u3/SwQmkwKvjoXAfDQknmFsCX08mTS2EA1LnxhCdC8J0LDhe2Hoohdj3Ju3jcD0njlz+2XCC3JNIrSNrwuwnOon/A3SptSzs3bEgWr74yXY2I/a0s1fX7Wlgj6CJ84twBcJf98k/PwURHnvIkxVgapoykCsCkGdvyJB+tyD5xoMgzFN6Ly0Ekc3/I/6LX1QdOy6g/zcjSl3YUXW0sMbZUHC7Cw5U4sSf8D0hg3zosiL3E4cMEIbD/0jm29B040hSdztZFgOI1xzE1fh/Lm8MFvhF2d3CsNze3wvbc7Rcze2tar4XDNzlD4q8hLE+fAkOY9OFyz0zSxodPnwUqvnl2nERXqvHGx1KuHemmt0OcA6fkus3ByqhHRCyDVqipSH5GgePmdFbFl+zsq72f1HdXT5GU799lnn9naX0+PV/2E2X2u5dmobY3s3yoPncRXG0vR2et+FsCB3tOxqPkY5qavQ1EgPJJXmdVWJpNmpm2WxhfNkeMLDmm5yOp21VjQYj5WAaTxyoLzd+LJ9it1k/nrOdaMEG7XCTdQP+FT9NoUo7ZEwew74+WY2M/aUk2fn7Ulgj5Cwi/LEi+Xfx4w2F4r/xwYIztgjO3S+wdAPE7dayyWw4VQ577Q4CSccWygGllbTBxbMspsrDafhpawJQ56O6hyhzgNvww7rqHGVsQb50BRoAZ5rN7croIq98o/Ok+z5dgytavi+PsbAIhHAyj7Kcc5Pa/T4/S2O42oUOeN80yvZrnKh+9XCNmxu7RWieKz+0yYXqdOPhusf1D6/blrpe3Jh+/6CMCn/YTPcPKdzWP1OPn2Ct2l71bY/o4aLCfTQ3t+L9s5J8dpz+9VP+H0M+t8rFJ4fzv9bNnBxtCSzClfGy+hHxuoDk2cAZETZ8rvomMVQBqvbPjGfwvlprSClpNEHeonfIrXY00vx8R+1mZ2HisSUZ+ftanP41d9hIRfIre6yz9PGWxX/t4jRnb8i0Apckx8wDDh3JlzLbZPOS99rXE5cw1Gs7FalCUOj49Nw/eyDhtGnzjRG3Fc3VZbxyqNUXGgOsJ7bqXHE7068HOnHdm1Oi5aevW2242oCKHKG+dar8HS2ukALm0/CKUtMyyXktpZWhtEwHCpipBeLVWrTJf94EiZFN15/Qop/03yQH1EgmLnOzs2UI156WsxJrAP2A/pn0JOMXp0/R5EPho731HtcjKzJQHaa/GynbMT3Wl0fq/6CSftrF5CfjPs9LPq381mte0k8hcdqwBA7QUjMPWG74aiZd+rOYQNB7+KWC5ihdP+ixCG+gmf4vVY08sxsZ+1mZ3HikTU52dtZuexIlb6CAm/OLesUIaIdlK0urLDOR+ha0CabSl0qcMdBqXIRZYldelo7yMPJceFYFl11WysyKCv+aLLgaKphtvt6tU9TrWszZYNneUlVno80asD6xhZPl0Eq+Oc6M1j9RjV8D6wtb3hc6dnV4moGBPYJ34yTd44V/fXxDHE0Zbo2Gq5inZprSEsgPL8n6K8SmhyN1KvFou8cSF4EHhtLtCjTypVVYl5HwH4vJ/wCaLf2dByMhaZVwkAcKQM0/AeytPuFFpOZrb8Xfldm6cp5FjTUBmUHN9dOg62vDYn7dyxC0eg9pj9iF/t+b3qJ5y0s14m8teeX0SPOpG/6HIR0bFK6PxZ+UBWPva1HsLz+/dan8TIDhEvqJ+IE16Pjb0cE/tZm9l5rEhEfX7WZnYeK2Klj5Dwy91RZkG6G2zvptkv2nYSA3mgZQe7Sehsl1U3mY11osdp0ryw4zo4W5est0wkJnp16DX8GmD/Mtt5ZHoNv8bVedVYRVVg4vyQM8UwGbSDggJO9ar5Zsd95omO5Z9GiY61vNA6CfX8Yvyh39vo/KnOkkY5gjLrghFAlb2ccYDBddrIGwcelKI7k8e5RX1EgiLynY1YTmbQxgUQFPp+Am3fUd08TTDI06TjWFNX+PvX+QwAd1lem912rmXcA8CLQctEslq05/eqn3DSznq5HFN7fhE9dhP52xmrONEjYofwHOonfIresy/S3hl9Z7wcE/tZW6rp87O2RNBHSPjFuaW8JhuFOOTJP43Wv3ttJ2kZ2LMrRvfPEE7w63VZdTVj+mdYJsSzq1fXrmpZmwhGCYa90KvXaGX0G2Zpt1/+SOxtPxSDdao/6cEY8GH7oRhikkxeRK9C2MsfdJydmuVwRnYjIiqMOgiDvHFOn4c+u3/muqCAltacCej8/QdNIygHAu6fX8B23jgA0rLlhppkSTJPfUSCIvKdjdZysvJgAVp7T8Ca6T0ivqO/WvcFth86aelYU1f467V1PtA3L9QuedXO9enRCa93+4lu+65EjWmdeXrthOt+Qm7LBn7dhEezGvGXf+UKL7trumQs0LhKaF/AXj8r8gxFa6ziVI+IHcJzqJ/wKervjEiUbHmwwPQ74+WY2M/aUk2fn7Ulgj5Cwi8J5TfLP69mLDxbOmOsK4BiAGcBWGV99spOUjNvch4CgrObX7LoJMcNMGDu5DzTfRTs6NW1m5UvRRYJopdg2K3esYFqrGn/GDZ2mI9F7Vbhx+1exKJ2q7Cxw3z8T+tPhZKAB8c/gFYudiNaOQMfH1ktU1SvVrtZkt4QynI4+VqM7IYVFNAzpioo4ESvmgADHhzBPSsooLYbeh5UBQVQdHeEM8n18wvYzhvn+jj/QX1EAmP2HVAvJxOBw/r7qRD6Pul8RxVNdhxroYhIFa7bOXBg9fRQBaaw06mixm5O2xJ5XTo46id0ilTMOf0MNnaYjzXtH7NMvB5gwIypU6Laz1q1o9FI5O9Gj6gdwlOon/Ax8ybn4btpm7G63RLdNl/d3t2StsXyO+PlmNjP2lJNn5+1JYI+wifOLc75RwDeBNAPwL2azYsBXABgFef8SwBgjLVjjA1ijF3mxk6qUjwgE0tmDLUcmAUYMOaqGbZsK99Js+S4AQYsnTFMOKxS0Xt5oB63p63HfWnrcHva+oiXG1O7E+dbV5mU0SYYdqpXub8zzRotAN0btktRT1WrTe0WjJ+GXcMWhRpVvQZQ0V91xWIUjJ/mSK8Wpy9/ZnbVla8Wt8zGnoE/BKY+CdxTAcz5h+lyOjvP79IZw1DYsltMu4x6uYqZXafPgxGmdh3mjXN8nM+gPiKxMfsO2F5OJv8cl2btcDH7nhYPyMTvpnSy5VgD0BYRqbLjuJ0DwpZLm0WNKdX9rK7Ldj9xwSmp/9GZAFDnIlQ719SE6XHRz14eqMdL39iN4qPPhVXIVLBqR9WJ/EVQ9jMaq4g8P67bdcJTqJ/wN8WBaixpt1IoSnZpuz9YFqnwckzsZ22pps/P2hJBH+GfZYkAcA+AcgArGGOTAdQAGANgEqTQ34dV+/aWtx+B1Pk4tZOy3DKqL7Iv7IwVm2pRqRNaP6Z/BuZOzpMGZEeKhSNfGIBTWWOQkTYMsLIrSt0W3FK9DLe0j9SghGq25kwwt5tbAlxfappQnCE8wbBjvWi7v2+//gIe+sxkyUtIgFgS8NE3/QjVWf3Bti3HEE1YrBL+ysc/gFGCji2tXu3zYLegAICw5XBWz1lGv2H45uSbMNTh/RV6frd6V1DA7fMgpFcPh3njHB/nT6iPSGCMvgNOl5PdPuIi7G3IcPZ9kvlWZ2lVka3qrYAUEamK0HTcztnIo5fGOB7u8hq+mHmH5XUJ9xO9u0uOLYe5CCPus4N+dmygGj/p8pq0zGMvpH8KmlyOZve5lmc7Wi5Sey5y2aXo8+O6XSeiAfUTfmXrMjDByusMYnlDPRsT+1lbCurzs7ZE0JfqMG5ryjK6MMb6AHgMwFQAFwE4BuBlAIs55ydV+/UDcAjAEc55P6d2HGrcVVhYWLhr1y43ZmKLRVXFAyeaUHawEWfOtaBLx3QUD8gMX89bt8V0ABwGC0hLLXJLrO2KYFHhjgHgLAAm53qypG6L1DAceTdi01eXFuGdXnNQe8EI53q1PHetvVxJOePaZvQtOFyzE8ff3wB+7jRYx27oNfwa9LPIsSWC+nMb1fACivYvs29k6pPS8h8Du57dXxG7Fc9IS21s0lC8GP/oPC32enXF1EhLhuxyT0VMc26NGDECVVVVVUbVodySCH2EbD/x+okY4mUb46pd2boc2Pxz++ee9JOIYhcKwnpsfqdDEww2v9Om/YTN/unYhSPwt4LfW99nwX72G5+9huKan4GZjS2U/Iua/l33Pn+5y/ZY5cAFI1B2sBHtP9uPy77chQHdOTIzMoWqT1vqobwoulA/EbKfOv1EDMYwjsfEftZG+nytLRH0JSpu+gk/RW6Bc/4JgDkC+x2GWeofQTtJT90WaWZYb/CqmhEd2LOr+SDMYjY2hCYJuKVdEf0CFe6YYNQTAGl7bomuw69zVj6mQhrFeEKUk4D3yx/piTNLS9jntrV9eFVEUXSWw7l+Hgywfn7tFRRQyLriGszJ6u9QlQENNRh4aCsGtjQBFyiOZoF7ouSNs+soTbLOj/qI5CDsO9swA3Di3JK/167alShERArrsZkPL/Qwa6LGrDDsJxz0T5d8vgs/HNoCZFnk/BDpZ+u2AO8KFPow6N/173OJ7bHKwLotGHjAepxkRbT6N8I+1E/4EDd5QwXbO8djYj9rU87j9Lgk0OdnbYD/9aUivnJuER5iEvEEIKK6nSWFs4EefQ1nY5EzTprJ9jJU0saSjVCuJ9HzZ+VHv2FIhkYrGZbD+cExJOhoNmXifHtRCQaRJQThK+L5/XTo+HZ8nJp459GLRf9k1s9Gq3+3M1bxepxEEIQ+8W7vonGOWOU0JX3O8bM2N+dJkny60YKcW8mIRcRTCDsRT4DpbKznzpgoRz3FhGRotOL58qfFzXMXT8eQVy9QDiMoCcL3uPl+umkX4ulYi/fEQTz7p2j37yJjlWiNkwiCiCTe7V00zhGrSVzS5xw/a3NzHj8FEPgQcm4lI9GMeAIo6kmUZGi0kiXqKV6OIa9foOIRQUkQHhOZn2gEBtr9fnrRLgCeO9YO8Gyx3Es2JwBCObdsHmeYC8phP7P1yDnUlR1ynFPqwIkmnHx7LRxkGQnr34VyXMUwcoxybhGECX6aKPXqHLHQ5uY8pM/f2tycJ1b6EhRybiUbyRDxBFDUk9eketQTkDxLa2MZQUkQHlJ2sBGlm2qxXaey3Oj+efjpVc+j4OD/CC0n46/OA0MQnIdXO+QcYEfKwFdNB7vBul0oCxZgd7e5+P4XpUhjPNIeZKeSoGPt8+AgbGyZEVZVcHT/DMzTVs2zOXHAIFVg+uL0xSjOst7f/F5nYMGIYSgUOrOEcl9+XpOF2r17Q3YirktAz31ph1DUzsbJFb5usrwuIT3yOMlpFWA1nughiGQnBhOljhN7+1kb6fO1tkTQl4qQcyvZSIaIJ4CinryCop7CSaaltbGIoCQIj1iz42MsXLsHQYMCzdsPncQNh9OxdMYzmHndGdPlZIpjCwh3RKl/ZwiCvzoXzKRdaNM0GtsCCzE3fR2KAjXh9gA0ZIxE1rcfsczTxDkwJrAPq9stwYKWu/Bia0no2matrMTSGcMwc1SftgNsTBy0cobHz1yPCsVOjvE9ErnX3zkMVFwyElknd1qeG5Dua0UwH7U8O8yO7nVp0Oo5g05C59RSdaIFs9ZXml6XiJ6qLS+jEDYcWwqacZLIfRbRQxApQZQmSqu3vYLAtuUY3LwH/dQb9i/D3vZDERz/AArGT0tcbSmqz8/aEkFfKhOItwDCY5Ih4gnwT9RTQw1Q8YwUUVPxjPS7HSbOlxojEaIR9bR6urGDRYl6qlptbatwNjBrneR80yNnnLTdy6S7TqKeRMnKB4rulu530d3RcRK5cTQTRBJRdrDR1AmgEOTAgrW7UXb6YsPv56n1j4ccW1YwBHFq/RNCmsqDBfhu8yOY8vUyLDo/G784fzMWnZ+NKV8vQ9Gx/0JZsMC6gq/sLUljHEvTn8XYQHXktR1sbDtAmTiQ+wiuuT/K762cYUHLXSgPFqCIVSPnte9I5cPXPwhs/rn08+ki4LlrUb3tFeF7/V/HrwYXHAa2coYVLdNDv+exetyeth73BNah5pVlqNpZrnuc3mdfJke1aa/XioXvZ4g/Q+r7rNGzefdH9k6soBon2X6mDfQQRMqQW4LtBY+ilUsNpVl7t2PoIqGJ0u0v/Qb5b92Gwc17dO0Nbt6D/Lduw461pYmrLQX1+VlbIuhLdShyK9lwGLlU8Wkzdmyq9TRXRKKFaqpzZuR9uQsTjv0RnY9V6pzHRj6X3BIcn/gksrY8iACCxssgHEQ9meb4cBH1ZGjXZdSTrZwkNqOeOAB25F2s27ARQ4YXefL8us6hkiyOZoJwSemmWksngEKQAys21eov5WqoQfeG7RFLB43gHOjeUKkbDWmkqZZno7Y1O+LvKzbVori9uMM9jXHMTV+H8ua25Ym61yYvl/7wrz/BkOY9YTaUaKkVLdNRHizAzLTNWJL+B2n5JHT6kiNlGHykHDcF2qLGzHg3WIDfd5+Lu0+vMIxEYyzcuTY2UI156WsxJrAvfOe/rwL2RPaNeve5lmejMjgo0oYJH7Yfiv3nIj8XPcyeodJNtRjMnUWOqcdXnj3TBJEilB1sxKydeShiBlGyqvauYscArB7WaPqdqd72CkbsXoQ0xkPHa+0BUltc+MGjqL64n2EkjZ+1pZo+P2tLBH0EObeSD4dJah/ZnYlafiD0dze5IuIRqhkEw94B30eB5Z6RaHNmzEzbjHssXiBE8jy12e2NsYEFuo0WANu5noRyfGyzH/VUFiwQyx1iczmco5wkNqOXlM/og3dexX9ubnb1/HqWQyUZltYShEsOnGjS/S6ZUXnoJA6caIpwJjd8sAFZEHNsQbVfwwcbkDWlrc1younk4d1ABxsOdw4UBWqQx+rDlvLpXduBC0bgutMLkcfqURyoRhecxRl0QlmwIHTs2EB1yLEFGC+pC0CKGjvKM8Pyfhmx9MRoXHfzX9Bn91MRuc5MnWsGuc7UfaPZfS5tmYHV7ZaErscMzgJ4/Mz1od/N7pOC7n2W9XzO2iLHhJykCE/m7+UzTRCpguIQLucFKG8usPweWzmEA9uWC7UfgORoYNuWAwbvHn7Wlmr6/KwtEfQR5NxKPhwkqdXm0QCc54rY/tJvQh5tvcHv4OY9aH3rNuz412KMmjHP3Jgm15PuYFo1q/zS6+lY2vETW3q1OTNEXyCs8jxp7ZYHIxutL1knjLlqBqZeNcmxXi3bD53EY398CRva28/19FjtS9gf1J8Zd/o8OM5J4jB6qQvOxkevHnYdzcrz7beCAgThAqfLscoONkY4AuqPN0Agl3oE2uOcaCpWLTEUQemrigPVEZFg2mtT9BhFjQHAvPS1tgbU2qgxM946Nwhz5vwj1E5U1X6MV/c1mTvXDGar1X1j2bEcw3OWBwuwsOVOQ2dZm+EAyvJ/ivKqgcZRYwAqg4NQqknkb3af7USOMSAsMtzLZ5ogUgE9h7BZeweYO4QP1+wMLQkTjeId0rwHh2t2Rqwg8bO2VNPnZ22JoI+QoJxbyYiNPE/aPBpq7OaKsB2que0Va6OFs1F91fOoCObr2qsI5mPW+YV4sbXEtl69nBl2XiCM8jyZ5eKo5dl4vnUqnmqdjudapuKejV+50qvHlczeS5jocV7cX2G7DqOX1ImKY6pXD8XRLIjyPJedvlj4GEvqtgDPXWuYnwd1W7w7F0HocOZci2fHNTlcTqY9zokmxXHuxXHa81vpyWP1GBPYJ5yjSh01JkLo/HIuwrJL5+D51qlhk15O+kar63qhdRJmnV+o278DCOVy/OdF38bMtM1Y3W6J7n1QJ/K/OW1L5HXp/F7aMiOU48SKIMLzYXr5TBNEKuDGIazH8fc3ALAfxasclyjazM5jRSLq87M29Xn8qo+QoMitZMSiup0SYq/Oo2GEnVwRXodqKjy2Nwvbmx8RWopgR682Z4b6BUK04dKrbhetXByidr18CdMSDb26dh1GPZVpnmUv9Bo9d0J2J85HcNWNCMD6RiiO5lavQo5NqroBEF5eSxBu6NKxbZgh0obrHadwsmcRUGdjOZm838meRZa2rXBa4U/vOO35rfQoUWN2B9R6UWN6WOlx2jdmX3rYcje9qOZxBf1RNHlGqF/Nq/5rKFUAYD5xpl6SaXZdVpFj6sjw94b8FONUEdpOnh83xxFEouO1Q5ifO+3Int5xftZmdh4rElGfn7WZnceKWOkjJKinTVbkJLXYujwyjwbC82hYIRIC6XWopoI6ZNMqVNOOXr1QULsvECFU5cGjlYvDjl0vX8L08Fqvrl27y2t1ytS71Wu5BObIDBw4UWBu94IR+MN5sReokKPZi5BjFwUFCMJLigdk2l5OphynZcjwIlSW2VhOJrcLQ4aHO7cc5eIT6CvVGDnc9c5vpSeaExYiepz2jcWBDwHkCe2r7t9vuGoCkNXW/k049kdHSzKtruuF1kmo5xdbJvFdNPFOUzuiUJ4UIlXx2iHMOnZzZE/vOD9rMzuPFYmoz8/azM5jRaz0ERK0LDGZyS0B5vwDuKcCmPokMOknqLh8PqZ8vQzfbX5EyLGlYBUC6XWopuh5nR6nt93pC4S2PLgTnOg13NdmmXVlPzsvbyJ6lVLx96Wtw+1p64WWyITZ9Wh5raheNaJLYBq2/sHSrtnSG+3SWlG9lmy1X1CAIKLBwKPr8Of29paTjemfoevcHdizKzZk3ia8nKyVM2zMnN1mq6EGqHgGA/c9g0ez3hFetgcAGf2GOVpmrHW4613bwJ5dMbp/hqGtaE5YiOhx2jdmtT9vel1Cehpq0PlYpUDsq4SyJPOm7NNC97k8WIDvNj+CKV8vw6Lzs/GL8zdj0fnZoXFSa84E25+X0HURRArhtUO41/BrANgf5yrHJYo2s/NYkYj6/KxNfR6/6iMkyPWXCqiq2+3YVBtWFVEUqxBIr0M1Rc/r9Di97U5fINT5oTzTq0kA3v6zfsK2bCfLNYl6Etarpm4Lrq5cjDkdqiI2GUVp6Nq1Wl6rF/XkRK9mu2ji5DTGMXbvY0DdNwyjnhS7ektvzJZluQo5bqgRjngLobO8liBcI0cQKstyRZaTVfACzJ1sHO0z+dqZePi5OjwuEA35UMtduOHamZKOrcvCvhdzAMzpYN0mAUCAQdIUEK/gq3W457F6jEurxu1ZFwEVH0QUdZg3OQ+zVlbqLo1WT1jYWY5pNWERui4d1Hrc9I1m1yWkR66cKxo0ptyfe/sd1d1upEcvMlz0/lhhZocgUgHFIayOkLcaD5k5hPvlj8Te9kMxuHmP0PkZAz5sPxRDdFaK+Flbqunzs7ZE0EdIkHMrxYhWCKTXoZqi53V6nN52uy8QIVT5oVzr1XkJA4DvARjQ3volTMFOmXWrqCdTvVrkPE+9DapbKlEaC1ruCotUMrRrtryWiS+vtfM82EmcHIAc9WTg3NKeV3RprauQY/ll0NFx5NwivMRGBKGynOzG6281nZUsHpCJ+hvn4rZ1F+M+k+VkT7VMxw3Tb0Xx6ddN809atUkBBiydMUzWVGLb4R6xJPMD+R8gRYJNnA/klqB4QCaWzBiqW9QiGhMW4dcViVqPm76xOMv4uoT0OKycm9tV/2Rm91lIj8d2CCJVUBzCRcx6mbrVJAcABMc/gNa3bhMe5/LxDxhu97O2VNPnZ22JoI8g51bKEa0QyF7DrwH2L7M9s2wUqil6Xj3yWD2u+6oW2HpeiqrSzJAb2bX7AgEgrDy4U72h40wSgIu8hKlRkuU+2X4lmMnLJWcBLDh/p60lqiG9WjR5nkST/lrazS2R/jXUoOGDDVi1pdoyGbWQXp3tdhMncwDMJOopLiHHDl8GHR9HEHrYjCDkkJaTFeWcsdz3llF9kX3hHfj1pgk4eXh3xCxnRr9hmDs5T8oVtdo495zyFTdqk8b0z5DsqL+PNhzuM9M2t+Xbg070kaaog3RdnbFiUy0qNTkAS1tm4M/tlwgVpwALoMuUhRizNwOVh05GzAQ3XTIWM6ZOsWxn2vRkoPKo877R7LoAg/us4LByrtlxrvREwQ5BpALFAzLx15G1GLF7iWHUrTLOrbpiMUYNuM7UXsH4adjesChUpd0sirfqisUYZVLAys/aUk2fn7Ulgj6CnFsph14IpBUiIZBeh2o60Rs2Q659p1LNkJvZtRPxBBZeHtyuXoUx/TMw8MtdpgnArV7C9DjS9yawKd/WfQkDAOSMA5v4AI5s7AB48Tw4iNIobw5/kTR9zrLykTUlH9vr3vP8+VU+t8EfrwdgI3ec8h+DqKdofd9MicLLIEHYxmYEodV3SUvxgEwUD8jEgRMFKDvYiDPnWnBRx3TcOiCz7fvznL026Zc9N+BvBTPQpWM6itV2tKgc7url48idiAyejSkHG3HzsXJMq17ZtiTT6MSaog5t19UUui5JzwQEjl5iXSiCBYDrV6CgcBrW9N6CrzaWovOxyvB9GlcB24qlZZYWhSQUPZ/sWoTga7dK0apWaPvGhhoUN25F8aAmNOS2Q1lwCOrT+1nfZ8B25VzR44zvs4WeKNkhiKSnbgtGVy8GBFI+jNqzCBh+hWX7NPqmH6E6qz/YtuUYonn/UN4z+PgHLB0MvtaWgvr8rC0R9KU65NxKQcxyRWhneN/jBZg7eYyQXa9DNUX0KtidITeya1UePIT8AqHXwDjKxbF1tivHkKHd3EzDlzDlBXLe5Eb3uUPsRmnISX/zWD1qebatnCTRynUyb3IeKp53X1RAz25Mc7NE6WWQIGwRowjCgT276jsRHOSeu+TzXfjh0BYgS/A7qMpnGdIja8Jz9wIijiCgraiDqj/Rva6exlFjAKRoqYkPSHbkSODORv2KTp9oRp8R3wKY8ZLMEOq+UWeZfRaA6UDbhFPP/uYntlk5F0BERLUZhs+PTbyyQxBJi5NCNwIv8QXjpwHjp+FwzU4cf38D+LnTYB27odfwaywn0BNCW4rq87O2RNCXypBzKwXRyxVhVqod214RmuH1OlTTTK+aiATgRoZ0Zsj17JqVBwcQ/gLhQK9CKBdHt3+5cgwZ2lUvhdB5CXOsV3dJos0oDflDKg5U46Ngtq2cJNHKdVI8IBOdhl0G7BXaPRyTqKeY52aJ8ssgQQgR7wjCeOaei2ZRB5OosdCxmiXihmj6REtMlmQC0HWuGWqw41ybKJ7IXy9qzPA+EQQRG2JQ6KZf/kj0s+NUSARtQMrr87M2wP/6UhFybqUo6lwROR+/ZB6pZGMQ6mmopoFebW4LOwnAtV5vI7tKdbubsk/j3n5HpeS0NgbGtnJxVDwjpl1G7RjSJid3muPDde4Qh1Ea+RcCq28cE3u9BhSW3AjsXaof/WeGRdSTbb1uX8jcvAwShBfEO4IwnrnnYuFYM5mwiOpMcDycaxaVc0NYRI2F0KQpIAgiyvi50I2ftSnncXpcquvzszblPE6PI+eWIeTcSmGKB2SiOFANvnolGNdf6xvCxgyvZ6Gaeno1uS2yWw5jzHs2ktwCEV7vaOXMELbr8GXqvuKeyOk+OPZ69XAYbXHLuCGAi6TrenonZXyGfqd2AkffBRptOobkqCcWhagnofvr1QuZk5dBgvCSGEUQGn6fHLZJW4+cQ13ZIcft6YETTThT+zEKnZxc1Rc47o+iNBMcqScbA4vu1t85Gs41i6ixry4tQudvLrQdNXag942e9PuUc4sgTPBzoRs/a3NzHtLnb21uzkMFoEwh51aqs3WZaTW9MGzO8LoK1TQhLLdFxSZnRnS83tHKmWFp1+FLWGZGJuYUWeQrcYCj+xDHKI2QXq8cQ1GOejK8v14u4wHsLSEiiGhg47sUBMPeAd9HKJOgRfRi2cFGlG6q1S3WMLp/BhaMGGbLwaRELf+8Jgu1e/eG7MwTjABV67k9rQmF7WycXKFDV8vrstTj8UywbT0O8i+yI++iamc5CkeONd85twRlwQK89OVGdDtWHlYhs7YuG6M3dsBPB7+CgrfFosaCr/4Qi5o/jSjO4vRz12LHDkEkNfFeph6Nc8SqCA/pc46ftbk5DxWAMoWcW6lMMqz1TQavd7yX76hxuhwu3nmevHQMxSPqKVo5ckSWEBFEtNB8l8zyMC5ouQsvvZ6OP555ESXHnzN1Uq/5LNc0h932QyfxncNAxSUjkXVyp5BUxoCKYH5YHsPth05i1spKLJ0xDDNH9TE8ds2Oj8P0lMnOEsOCJAa88dVA3GtSfEJIj4d9ova6hPQ4zL/42sv/h4O8j+B97gZgqq6eL48+AQTEJuwC0C/O4vRz19MjYocgkh4/jXO9OkesivCQPuf4WZub81ABKFPIuZXKJMNa32TwesfbMQR4E/UUrzxP0XAMxTrqKdrVUszy8xBENCmcjeovu+PMxiURBToUh9KKlukoDxZgZtpmjK/4Q6gkdgRHysBXTUfV+TsR5CWmpw1y4L+OX43V7avABKoWtnKGFS3TQ7+rKwfXvLIeVezfdCOLyg42Rjg4ank2KoOD9Au0GHAqawzu3XjWsqpqkAML1u5G7ws76UYE1TUx5AqfVYWmT9S7LiE9Dp1rF/CzptcloieP1WNMYJ+wU9GsOIvVfXZ8fwgiFYnBOFcvFYrQ6hE/ayN9/7+9cw+Tojrz//f0zACiXJzgAMp1Agg4IBmEGRmQQUIg7qIB42XdDIafumvcDexuVoWoEXIDZTcJmHXdVbxA4gajoDGJGkVBHBxuE4RRlMEBFOXiiFGI4jjT5/dHdfX0VNflVHV1d3XX9/M8PM10Vb31reruc6reei+B1pYL+sIInVthhlFP/pJKdEw2C4D7FfWUrTpP6XIMZSrqKR8iKAmx4YdvlGBryx0dHEbxdLKYU8HY9dYKgSh+Wng/3pW9ktLJjLwSLcP/9JiHGz9ZYTpGGCPHNkfLrDsH/34VsDvZ0b98faOpg2N562ysLlqi1uxERLC89RtxO3bnCdAcJivWN5o6S3554Bz8DOpRY/HmGYY50eq4zOigx+ODo5M4zfa4VPRURRoAqEfL2TVnAezPs+fzQ0hYSdN1bsOmpxDZtAwjW3ZjUOKCt+7GG51GITrpZq0WcK5qC6m+IGvLBX1hJpJtASSL5FPUkxvSEfX00CXAvZXAs7cCL/1Ye723Unu/aYOzDd0xJBx+kn47htxGPTkdS/kcoGaddo7NGDhRW65SM0qFVBxDqpSMACpv1CaUyhv9dyilEkFJSMDZe/REvB5Ro+yHh9tm4Jdts/Bw24wODhs3XW8LhJZOpsLSo+Px7t8+ajom6ZFjNV8sxG/bqnFlwUtYXbQkHv2TiJRod/TXr046NiObo2VY2Ho92qRo394MEcGRyXfjwfcHYkKkAWs6/RDPd74Fi4pW4d+LfotFRavwfOdbsKbTDzEh5rwBgC37j2Pv0Y4PmvYePYG1h7pjS3S4uoMHWjH2xHHN7risiOtx+eBIPy96KqfVcanoOQOfudq3ynap6HGyQ0ioKK3G1rI7LcdE/e82KbBt1CKl69ytT/wCI164FiNbdpvaG9myGyNeuBbb1i7PXW0h1BdkbbmgL+zQuRVmghb1VHefFlVTd58758PkW5ydQjrpiHpaPcvawWK4GbIl044hwFvUkxOl1cDcPwA31QEz7gKm3K693lSnve/nwJwPjqF8iKAkxILafc2O6ySmk6mQmE6mwgunhncYk+q//E9Y9MUcTPv8blzdckc8YisxcszoHIr/neDodzq2x9qmoOaLhaiLjjB3NsXG9GeKvuroWKuIvInVRUtwRcGG+PvG/et/L2+dHb9QdqJNCrzcZ277G8f24PiLK/DPBevw7YJnlc9xfP8uHziZ1TqzOi4nTuI05f262c6rHic7hISJ2n3NuHr7UMsxMfFhw1Xbhjj+Xho2PYWxuxY5jtkFQqL8tTvRsOmpnNQWNn1B1pYL+gjTEsNNmnN9lVpje6j1lGx3LIb5kA7nupW3i6in6O/m4ammCP7Sd4K9XRepcCm3Hk93OpyhztPeoydQW7vf31bpaXQMpau1u9Hu37QUocSLoXREULLwPPGZk6daHdfxO53MUkNsTKr9ayMefn1vh3XcRI7pjv6TA37huOrmaBk2t5R1SDUcd+5ATJ7xzfhvq2f9r5UcawVCYmnh/XgvlpJpPLf633rUmG7TqZD/gNPHYkbCXFwJoDKh2+OW6HAsb53tmAYa1+MizcKs1lnp2/VAa5f4GHTylNqlqttC/vp6tarHZfG3Kl63IyQf0FN5N8vkMdEs/doplTeyaZmraF+xaRlgkSYWZG1h0xdkbbmgj9C5FWpq9zVj/Ym/xW1ys3JdEJWoJ+XW2C5rPdnbHYofXPwwyvb9r+sC4J5bebuIeoogir677sG/bu/pbBewLQDuW+vxDDUUSFer9Np9zdi7oxlznVdNxsYxlE69ZnYfFafh+c4JtW9U8TOC0o+GAoSYcEYX58uMdKST2Wkw/u22EDkA4OAr6Hf2AcWVtZRM3RF355dHYnLJ4PiyCw+tdJ2SubmlzPa4HmubgkPyLMwrXOdYyP9XHz4NvPIjy7pketTYgtYb8Nu2aktt8f3H0uyjv5uPCJy7ZCbVOmuC9i/GFT3H4tXIdEfnmttC/mZRY7bHZfG3Kl63IyTXMUvlTRwTzdBTec0eKh7Ysz2eEqbqyD6vZTcO7NmeVOw7yNrCpi/I2nJBH9FgWmJIWbPtHdSs3IIH3x9oWxck/qdirSfdrlU9Cr019oZnfuuq1tNLzzzmaPfSPxbisbL7XKXDqep9bNu7HRe4jHoyptFY2nXAs14zMpAO56teE7uPfqD1BVNNZ4pj4RhKSa9Naq2dXf2GzJVjy8+6cX6m1hJiQMURnK50MisNSX+7jBxr3+51dxuY7f/YHvT5yw5PKZlOx7U5WoarW+7AtM/vxqIv5uA/vrjCNB2zao+5YwtIjhpLrPtle1zlc/DezEcd0yycap0BQJ+/7EhKybTCbUpmYtSYFU7nWRU+bSdhxe9U3iM7nwPgPtpX3y5XtNntx4lc1BdkbYn7Cao+osHHSCHE2MLa9gkvtBblPWZ839Gx5aY19mmv/gcQUa/1dNqrP0NU3uFod8HaXTjnugpUVd7oaDalVt4uo57M0mjctgj3vfW4x7Q21Vbz6WqVnmi3Ee6e1AOwdAx51usQ9dQw5B+x8I+FtnbddlbzrW6c24YCPftnLYJLCDEBwO0AKgF0AbAPwIMA7pFStinaGARgv80qa6SUV6colSQwrHc3jB9cbFuAO13pZABQMbg46QmnUZPXyLGSTl84Hpujnthc4vZi+ZqzmhyPS8fuSfDtZzwN0aI2FydGjRkxO8/9x34d39veEx8d2KXcJdPqPBhTMq3QUzKXFj2ACJLHUz1CNjFqzA6V748KZnYICQt+p/LKU594sme2XZC12e3HiVzUF2RtdvtxIlP6iAYjt0KIWQtruye8/1CwWOmGVrU1djwFRFGvhHrxYL3ltgpeWnnH8Rj1ZLyJypheM2LRS8qfQ2zF/zpwjtL6bvR+GYew93fLlBoKGO26eVJv5xjydH4Vop5Grr8Wl0c22NozdlazxO9umeloKJAGhBCXAXgZwEUA1gH4LwCdAPwcwG88mHwNwGKTf4/7oTeU2EQuzp86FBGbr3Y8etGFg0clnSwigHlTh5ouS9TkNXIMnbs5HpujHo9zycWDzTW70XNu5BBGtuxW3qdVIX+n8/w2Mtsl8/HoFLwx9RHzDpnoGDVmh+r3xwk7O4SEAb9TeUWX7p7smW0XZG12+3EiF/UFWZvdfpzIlD6iwbMTMpxaWJs+4VXI73XTGjueAqK0dvt6qsWDVfKRU2nlPax3N89RT2Y3URnRa0bJCHzatwJdD29RsqffUD5xqDv+0Se9HeqsfALgpYSFJrWezOyqFk+2cwx5Ob8FB1+GPLIUwsE5FIFaxIFdBCUA27pxnkh3QwGfEEJ0B3A/gDYA1VLK7bH37wDwIoBvCiGullK6cXLtlFIu8l1sGFGo11Y1pBpLZo+yjYx0E70oEcEvDUXIjZFBb6Mfls4ebRkNWjWkV1yT28ixOKWTUVXSy/HYAM3BYarH41wysG8f0/cTj8tRz5jjwBvq+zSLQLY8LgU9bmudJT7osnJs6nrKxvXXiviaNMk4ePB01K21d+qlclxu7BASBvxO5e0zZjrw1t2uo337jJmeU9rCpi/I2nJBH9GgcytkpJLfa+fMcGM33cWDAX/1mtp1WczbKY0mFb12nTWc7L7c9/9h2vtblW4oE+uT+HF+ryx4ydIhBSCpoYCdXafiyYfPHIu+M39g6Rjy8n2YX7jW0bGlY5fOk4jeWe3nUzphVo+309u1MEMNBXzgmwDOArBKd2wBgJTylBDidgDrAXwH3iK4SCq4aApy1bga9DuzK1asb8QWE0dy28CL0DSwG4Zuuc2x662YuQLf6f51nPvHx/C15kdM05I/LhmPHl+6DUB/S1NXjRsQ01SMLe95T29ut2N+bBWDizHPqhGF27kEsQc+Ntup6vnKe2+4cm7p6HOx7XEp6HHdJTP2es1ZTVh8LNm5ZarHpDnLVSXw/nkpHJdbO4TkO2apvE5d4exSeQeNuABvdBqlHHkqBPB6p1E4z6Sod5C1hU1fkLXlgj6iQedWyEhXfq8bu+kuHgyo63UaRCztlozQohIUI1+c0mi8nN8OUU8G9NbtJ08Ns7XbePpYvOiiZbweeZTq90G1zoqx1pOdXd0xZPaZXlp2Mb5bap0W4vZ3kZhaq3JflpjO45RKBQCHCgcBldNcaXJNBhoK+MTFsddnTZa9DOBTABOEEJ2llJ8r2jxbCPGPAL4E4EMAr0opd6UuNUR4qNdWNaQaVUN6Ye/RE6jd14yTp1pxRpdCVA3pFbtYuxAYNlJLbXToeltVvwpVH90GRKKmv8Mex7YmOcfNqBrSC1VDeuHdHYsQffoaRKDgsDamNx/bg6rmjagafgLHSotQGz0PhwoHGY7NArdzCaDUUEI/LutzDaDZ2wXyxLLBuPTii1xdYJvpqXq/Fnjb/f7nju2FquEXWR+XRz3ZtEP8gbUZg8v8qUNRs3ILKoXztWudLHNM5Y1OuhltL1yr/HBWTrKuVRpkbWHTF2RtuaCP0LkVOtKV3+vGbjqLB6vqGfrXHVjT6ee2g4hZClkHu5Nv0W6eFKJ3nLoyuT2/dlFPia3bX/2wE4B/tbXrpmW8V71G3NRZidd6Kq1W+p6Zpdb6+f0FPKTWmqTz+KnHEx7ToTxv551zY697jQuklK1CiP0AzgNQCsC6WFtHpsX+xRFCbABwrZTyHVVhQogdFouGq9rIWbzUa4tFTg7r3c36xr+0Wvtnkk4Wd+gYHGuWv0MXjRD6j/06IJY7O+wS05tNUjJLAMwC2tOqew+23S8AV3OJmWPN8jzB6Vy7ixrTqZw6GyjxNg500FM3wJNzC5272R+XVz0BsEO8E6vN+ASAUwDWADgOYCa02oxVAK5wafI1AE+avG/dMpRYUjWkF35zQSPG7lrieO1af/5ijBvyN7b2yiZdhq3HFmHsrkWOD2frz1+McZMuy0ltYdMXZG25oI/QuRU6fM3vTbio/puWIjwqTlOKStGLB6umgKgWD3bUq1O/CtP/PB8iErUdRBa03pBUcLaD3dJqYKb1zZBV1JNrvYblTlFPia3bq/b8EGj6iuWNnW7XLurJ7Ly70WvEbZ0VAPFaT1VD1L8DqnpUlhtJd2ptRtJYPN7Yet7OOz1irx9bLNff76lg61MAP4J2w9IUe280gEUApgBYL4QYI6X8qxehoSET9dpM0snipOBYs6V8DtBzgFLkmJuUTLvIMQCOc0kcB8dau87keoWmuIwa02w7R40pkztjEAk4rM2YAzRtwPiGxYDCteu43YuAMec7jmHjL/8XNJQMhti0DOcZUsX0lDA56WZHB0OgtYVQX5C15YK+sEPnVsjwpYW1xdPq5zvbRz0lsrx1Nn7VaYlpq24jUdhHPTnqTST2xF+vlWQ3iBiLgJvatbkZsop6cqU3RuLn5ibqSTjc2Bm/D3Yt473qNeK2zkqcpo0YVnljWlqwu/1dpDO1NmP59Bm8sRVCHAAw0MUmv5ZSfkvVfOzV8UchpTwG4AeGt18WQnwNwCsAKgBcD2C5yo6llGNNBWkRXeUqNnKSbNZrS7djzUPkmCUuIsey5lhLY9SYI9l2rpF8grUZg06aHkqUTboMmHQZDuzZjiM7n4M89QlEl+7oM2a6Za2jnNIWUn1B1pYL+sIMnVshRM/vtevwo5PUwtrmolrCPuopkTpZhrcrf6pUPPjtip+ibuMAZ7Fmeo24GEQSi4Db2jXcDB08fAQP7/gQr7TZ1+9S0pvA/KlD8cMHn/Ac9WR1Q5DS98FBr5ldr1FPeq2nTOs141WpniILqKfWemoZn8oNZio3tu54G1qqiCrvJ/xfj8zqYbYigO6G9VwTS298AJpz6yIoOrdCS4r12lKqT5Qmx1qypn4YVnmj+crpuhhNmEuOvfYcDh05hhPyNBzvXYnzxlRq58ilY+1d2QsvnBpufa4Vo8akiKB2xA/w5/3nYGjDb3DR4QfNO+06RI0Zz/NXR38X/d951fUYtPfoCby+sw7FR+vQTXyGfn1KUHL+dNeOL79qZbHmVtZhbcYgk4Fo30EjLsAgN06FXNAGhF5fkLUBwdcXRujcCiGeW1g7XFTrvhazqCczu0PH/Y1S8eChpdVY8qV3Um+57XIQ0YuAnxs5hOtmXeKcKhZLoxkIYHi/d/BIiq3GjVQN6YUlsdbtXqKerAbCdLU0t7LrNepJr/WUab1mdq+bdQnQ8JRvDQW86PUlLclLOpQHpJRTPW2o8RaACwAMA9ChxpUQohDAYACtaE8z9MoHsdfTU7ST/3isu9Z0QmDB/7xqGiE5fnAx5qt0lvO5EULtvmYsX9+orsnDPCIOvoL67ZtRfsEEx/U1PX/B1v1DAcQc3W+0AC+9jPGDi3F/20/Qw4Vj7b2nFmNxyx0d3k46Loeosdc7jcJPTs7E5vphuLLgf3CTXu8RJvXOLKLGrM7zYgC39p6HGz9eAWFXzD82BtVGy7B+xb2Y3vwIZiWWNngbQO2dWpfMGbc5jlWuP/c02yEpw9qMQSbI3ZmDrE3fj9ftwq4vyNr0/Xjdjs4tSwLj3GKHk8ziqYW1x6gnW7sqKSBe9RpxOYjoDqT/nnACpeOs28mbka4W4eW9Cz21bne6IUyXXjO7bhsKxEmos+KbXsP37qrSyeh3XYWa3S+5i3o6Y9pCVLxR7M/59TMtyU06VHZ4EcDfA5gB4P8Myy4C0BXAyy6exltRGXtN1UmW/3isefSdzd3wVtQ89Xfr/uOoWbkFS2ePxpV2462PjRDWbLN/aGKqyeM88vST/4d9sr/tsTnp+ejALvTovDXlLq2mx2UyF9cfbcXCncV465S2bVK9R8sdd0zHdDquu46OR21kAX7W508oOb49eYXYGLTmw1L8+aGl+EnhAyiImBfe7XFsK+SqWRCXWo99nj73NNohvsDajEEmyN2Zg6wtlf1QX7C1pbKfzHctzykC4dxih5Ps4KqFtYfQycrIHvx8Sie1luh2xYO96DXD42BQ2k2xq5+BtLQIT2OHO9d6FdPhku0Ow5HdY9HnL1YPM00wqbOS0vm1iXqqGliFqmm3YO/pDq3mXUY9lZVfhjWTfEhfSUe9H0Unc5Z4HMBdAK4WQtyTUCi4C4Afx9b578QNhBA9APQF8LGU8nDC+xUA/iylbDGsfzHa24r+Ki1HkU94qJVUFx2Bt6L2adpRCSxYuwvnnHmapaO3vnA0yuGi2y5iThiDQ652X7NjlKapJo/zyOnyM9tjU9HjZ5dWy3Mdm4tr9zWj5tmOadpeutzWRsuUzvMr0TJUHi7D45efifLWXUljUO2+Zjy9biUeKXJupiIQhfzdPAiTsc/z527ALzukHdZmzGOC3J05yNpS2Q/1BVtbKvvJfNfynCLrzi12OMk+Si2sPYZOzurxNlA5zXlFF3huuZ2lQcTXFuEZ6C7lqNdjOlwHu4N/4FutJ9fnVzHqadjMFRhW5X/UU8rfh3QWn1RwMmcaKeUnQogboDm5NgghfgPtAcil0FJRHof2UCSRWQAeAvAIgG8nvH8XgPNiqSWHYu+NRnu9ljuklJvTcBj5h4t6bcamIHZdWaMSWLG+0dIRsHSHwPfcdNsFTJ3jy9c3KtXXS9LkcT44idNsj01Fj99dWt3o8drl9om/Po+o7O68bkzPXTsE1vxjcq2z5esb8T03zVRgPvZ5/txN9Phhh3SAtRnzlSB3Rg2ytlT2Q33B1pbKftgx2JasO7fADie5QT6ETgZpEPEaIZPt7lJ+pcNlqNZTErke9RTS4pNSyieFEJMB3AbgcrSnrv8bgBVSStXwytXQHF/jAHwdQBGAowAeA/BLKeUmv7XnLS4Kkd/acj02R8swIdKA+YVrTR1TiZ12t+w/jr1HTyQ5gfcePYGt+49jeWQ2VhctUXJ0tEmB90f/M+JJYbFi7ePfacDIgo6ONTvimlzOB8ZmEmbHph+XE+no0qqqx2uX2+6HN0PLKFbDSs9HB3ahorO6c02vdZY49qmeZxU9ftghHWFtxjwmA9euZl3rlAp9B1kb9QVaWy7oCyNBcG4FssMJC0AayIfQySAMIn4UAc9ch7uO+O0Yykatp1yPegpx8UkpZS2ASxTXfRjAwybvrwSw0ldhYUbhN/zcl2rw283dcGXBS/F6TWa1koyddmv3NSc5Amr3NQMANkfLsLD1elt7QmiOrQWtN2DkqeGYmzD2lgD496L29RMda3bU7mvGsCp384hZMwnjsenH5YTbeoWqXVpV9PgdNeZWj1vnWny9hLFP9Tyr6PHDDvEV1mYMOmm6dm3Y9BQim5ZhZMtuDEpc8NbdeKPTKEQn3YyySZflrraQ6guytlzQF2Yi2RYAhw4n0ArEF0LrcKLKNAD3AfhJ7PU1IcRLQogBKWoNL0GJejq2B6i7T7uZqrtP+9sNk2/RBgcV/B5E6ldpA5jVTZEe9VS/2t6OHjHhdBx+Rz15cQw5UVoNzP0DcFMdMOMuYMrt2utNddr7fjq2Uol6Cgr5EEFJ8guH33Dj6WOTC5Fb1ErSO+1OiDTg5KnWpF0lvvdY2xTUfLEQddERpvbqoiNQ88VC/LatGgMOPG459iY61q4o2GB7qPH9u5hH2mRySmbp27/qMIeZHasZjbIftkSHu3LwOHVpBZC0f9Nzn4aoMTd6vDrXEsc+1fOsoscPO8RXHgfQDK02Yzxswqk2oxBiuBCir+H9CiFEJ+MOWJsxRUqrsbXsTrRJbQAzxlvrf7dJgW2jFild/2194hcY8cK1GNmy29TeyJbdGPHCtdi21iGDNMjaQqgvyNpyQV/YCULkViA7nLAApIFsRz35EfEE5E86XKajntKdDseoJzXyIYKS5CcWv+EzuhS6KkSud9rd0+VKU1uJbI6WYXNLmW0NrwmRBkxpXArAfOw1Otbek70sI7ji+4/NI9HfzUcEUcfIsaSUzCZ0iPu4oudYvBqZ7hg5BgDLW92lZKrUOjOeV+PfgPcut05RY2aY6fnQo3MtcewzOy6vevywQ/yDtRmDT+2+ZtRsH4pKsRDzCtehMtLxwaHujF/ROgt124Zg9ehm2zp1DZuewthdi5QempS/dicazhpkGUkTZG1h0xdkbbmgj/jk3MrXDifEQLZCJ/2q86STL+lwmaz1lA+OoXyIegpKBCUhikwp/hCDXBQil1LrtNun+ENoZXLasbqga5T9kroB6swvXIuIhWPLiO5Y29xi7pDpsP/yOXhPnoX3nlpsezG6OVpmm5IJAH3+sgOri+rjKZl2GFMyjTg61gxsiQ7H2V0WIfFcm51nPWpMtZA/AHx6diUam5zrmRkx7r9qSC886jElM3Hs83pDYKbHDzvEX1ibMdjoTRg2S+eHEoBzE4bIpmWuHpqITcsACydDkLWFTV+QteWCPuJf5BY7nISBbEQ9paMAOJBfRcAzEfWUD46hIEU95WpDAUJcMuhjrU+M21pJ2nYdi7IO690N4wcXKxfz1jv8qaI71oaKQ0mpfBWDi5PqJfUf+3V8b3tPfHRgl23kmF1Kpo5K5JjOY21T0K13Ke7o9oekBzRuHGt6SiZ+fw0g2h8OWZ1nN1FjEBF0/epCjH++M7buP+54wa5jdp6H9e6GMweNxpb3XHTJFEga+9x+f+z0+GGH+A9rMwYTsyYMdg8lAPsmDAf2bI+nhKk6u89r2Y0De7YnFfsOsraw6QuytlzQRzR8cW6xw0lus/foCdTua9bqWnQpRNWQXtY/GhdRT67sWpHOAuBAB8fQ3qMnUNvYjJO7G73rNeHYa8+hxMuGDlFPvpxfVbs+OIYyqtfMrtsuZ9DCRn99bBBaavf7o7dpAz59/qfoenhL8rKgNxQgxAs+O8bnTx2KmpVbEFXwr0wsaHC1S/1itSrS0OHiMiKAeVOH2ug5bhs55jYl0ypyLFHPxZdcCQy5KclRXl84Gtc88RGi0tmxFv/b5OGQ2Xl2KuTfbrj9AdcPRj6Fv773U8cOmfpx2Z3nex6cjQsUnWsSEQiTsc/N98f5c0/dDiFhwO8mDEd2PodBcP/Q5MjO55KcDEHWFjZ9QdaWC/qIRhAKALDDSZao3deM5esbTZ8+jh9cjPlTh5qHPjpEPdXua8by/3nVvV0jLiOeJJJbf6vg+Two2h3/TkOHzlzKWNzcpVuvmd3Z/XrgZ64tAiid7K/ehO9c0wmBXx44B2sPdU9azdSuy6gnAS0C4rbNbQDe8KY3gcZn78WX676PrjCJoAAgVNNrs1U3jhAv+BwxWTWkF5bMHoWFa3fbOhYiApg9sodJqxpnEouXRwSwdPZoy9+8nR49ckz5KS+sI8cs9Rgid8sBLJHvYOHa3a4ca8aHQ1bH9VjbFBySZ5nWBgHQMa2/fhXKXpwPRMzrkiV2yHwiWu14ng/N+jvc9uQH+IlDl0yJCMSl5mOfm++P18/djR1CwoDfTRjkqU882TPbLsja7PbjRC7qC7I2u/04kSl9RCMIzq3HoRVvvFoIcY+Ucjvg3OEEQF8AH0spDye8XwHgz1LKFsP67HBiYM22d2wvyrbuP46alVuwdPZoXDmuv/lKJulwvtjVcVnnKX6N66LOk696LeyOLEi9EG4m9Zqx9lB3XNXJXb0VDJyINQdPx8K11k+3lfWaNBQoBfAzAFd16vj039aui6gnYzFmV3oNvPTMY7io7vuIWEVQ6P8JakMBEl5STd1OQ524q8YNQL8zu2LF+kZsMXGaVwwuxrypQzGq+V1Pzi29w59ux8kxYaWnKqJFjik/5Y29XnNWExYfM0/ZU9UzVBxC+e/VHWsAktLhrY5LL+R/eb9P8E+D3kNpN5n83TCUFLAruntX0f24dupElDmMqZqeBfjpH0sxrXmVaa2zj0sq0GPG923HPtXvj9fP3a0dQvIdv5swiC7JDzVVMNsuyNrs9uNELuoLsja7/TiRKX1EI+tnhx1OMk/tvmbHp40AEJXAgrW7cM6ZpyldnPlu12M6y8HDR5S6G2TqPHjtMmW8uUtZr02knYpdt/VWGob8gz/n16ahgPHpf2IxZlO7DlFPZsWYXes1ULuvGV1f/U8URLxFUFiSybpxJHz41aE2TXXiqob0QtWQXvZpyd29pSKff9Gl+NOYSldh/2Z6qt6v1SqSumTu2F6oGn5RSmnc5a27ALicc4Ckh0NK59kMFyUFIpAo2/e/tkV3O+iZdxP2Hq3Bup11KD5ah27iM/TrU4KS86ejh+LY5/m40mSHkHzG7yYMfcZMB96623WDiT5jpueUtrDpC7K2XNBHNLLu3ALY4STT6J0ZVIhK9c4Mvtv1mM7y4v7PMFdhvUydBy9dpsxu7jzrdbhJXX/ibxGVzu5Avd7K0qIHELFrXhpLh/vhthJEpVrBXcvz69BQIPHpv1kxZlO7NlFPxmLMrvWa8MSzz+NnLlOTXKXXZqKhAAkXfneoTaVOnIPzdljvbtZOBA+pyBg4EbOmT1Na34wOeuoGeHJuoXM3++NSwedaZ670pLuJiq5n+jQA3j+ruB0fnFB+2SEkHzFrwuDUZMKuCcOgERfgjU6jMLJlt9L+hQBe7zQK55nUPQqytrDpC7K2TOlzgs1JnAmEcwtgh5NMYdaZwQmVzgxpsRuLXHLrIX/0g1JU+ax3qDiEEe88i+Y/rkev4l6W0TFWdt1GPRmLgHs9v0c2/C/6bLzV9ib1NrkZJwqcW9AD7fVWHhj0Irq+X5e8Qiwdbu/pY7H1sZdd6036Prh4+m9VjNnUriHqqfl4M35Ze9Syg5eyXgN7j55A98ObgSL3qUlu0msJ8Y10dKj1UifOr8ixNDrWHElDSqYy2ewO67KkQIftOOYRkpfoTRgqRQPmF661bTJRJ8scmzBEJ92MtheuVbqubpMCcpJ1c50gawubviBrS6c+Nifxj0i2BZDMkkpnhozbLRmBIz3HuupKURcdgUbZzze9EyINWNPph3i+8y1YVLQKvbYuA569Fbi3EnjoEu0GTMGuHvXUJrWDMcYixv+0KALu5fxOiDSgZIONYyuGHvU0IaLWWWxztAxrzrsPuKkOmHEXMOV27fWmOmDuH4DSan++D24bCsj2Ysy2dhMpGQFU3oine/w9Hm6boezYcrSbsDyxOLUrvEZeEJIKXjrUqlA+B6hZpznAzRg4UVteXqNFjq2eZf371yPH6lc771d3rAmHyx2jY+2hS7Rx/tlbgZd+bDvuW6JHjrlBISVTiWw61nyOGiOE5D5VQ3rhNxc0YnXRknijjUQSy0ysGbfPMTK+bNJl2DF6kfV1dezvNilQf/5ilNmkPQdZW9j0BVlbuvQtmT0KEYd7XTYnUScwkVskM6SrM4PdcrsQUCe7r/a7Dpd+VK/sIdcLgKeiV+fKgpfsW56bpObY2bXrMqWnw1gVAffyuc0vXIsIUot6suLkqVbbdDhfvmduGwrEPp+qSAMa2zo6qfz4PnjZ7uSp1nhxatf4EUFBiBvSnU4Wi5g8sGc7jux8DvLUJxBduqPPmOntbbJdRo69K3vhhVPD7WsdKTRgeHf0P+OFz4ZjwK+XYUrjT63HToeUTGPtpa+O/i76v/Oq68ixvUdP4HWTmlLKji+fa525qimVgagxv2pcBc0OIXlL0waMb1gMWDXWSSgzMW73ImDM+Y7RueMv/xc0lAyG2LQM5xlSxfSUMDnpZoxzqucXZG0h1Bdkbb7rA5uT+A2dWyEjXZ0ZzJZPiDiHgJ7RZaSt3b/0nYCFf77e0slkVQDci16jdn2fgE1KmSE1x8mu3mXK6PA7/6JLbeu8uP3c4i3okZDmZkNi1JNK9FKq51dpO49P8c0ipTKi12L571w2FIiv50cEBSFuSHM6We2+Zixf3xhLsR7TvuC1oxg/+FXMnzoUVZvcRY6999RiLG65o8Pb4wcXa7YSLwQtGjDUF47G0h0CW397HBMij2F10ZJ4V1O7/RpTMjseWzuLAdzaex5u/HgFhN3DhljkWG20DOtX3IvpzY9gVuLc+TaA2jvxccl49Jhxm+PFd+2+Zqw/8be4TW72lg4fO08HDx/Bi/s/w6MflCbNDabnGXA9dsXnKYXtrM6zrZ4csENI3uMlKlgh9bxs0mXApMtMH5pY1TrKKW0h1Rdkbb7qi8HmJP5B51bISFdnBuNyu6inxBDQD74oBnCDrd3FdhFPFgXA3eo1Mr9wrdoNAdBhMFQ9v42yX4fooj+NqbRd3+3nFm9Br7i+XdSTFz2+fM88Pv03i5TKiF6L5YtdNhQQAvj07Ep0Ze0ZkmnSmE62Zts7tt1Tt+4/jh8++ASe6+QtFTnR8bJ1/3HUrNyCpbNH48px/TtulBBxumbbO1j4RLsmr+O+07HddXQ8aiML8LM+f0LJ8e3JK8Sidtd8WIo/P7QUPyl8AAUR87mzx7GtkKtmQVxqXcy/Xc9AnCyweTiE2BxhU+tsIIC5AOZ2bn8opc+1lufZQyH/uugIvHPwDFxZYr2eynfI8nMPsB1C8p4MNJkYNOKC9gjgfNEGhF5fkLUBKeozgc1JUofOrZCRrs4MiXadop4SQ0D7bLwFGDDU0kuu29283zziyawAuFu9RuJRT4qRNgDig+Gw3iPSfn5V8FrnSWW7dOg1tev26X/s86o1dDn0Q6/Z96540Ghlu8sPqjcUiEKg61cXOq5HiO+kKZ2sdl+zrRNA50KhVvdPx84pH5XAgrW7cM6Zp5k6oY2avI779ds3Y+HajxyP7ZVoGSoPl+Hxy89EeeuupCL1tfua8fS6lXikyHnuFIhC/m4ehEkxf+NxOaXDf1xSgR4zvq/ZSeiSaYz6TXwotaC1vQGJ5Xl2UchfLylQ5+LzssLt555tO4SEgiA3mQiyNn0/XrcLu74gayNpgwXlQ8j8qUMdC9fpuOnMoNv19PRbwS6gRTw93DYDv2ybZVoA3IteI/GoJ9UbHJ3YIJru86vCX4W3Ok9O9aHSpdfUrstizIkNBWztWmCm19hQ4N+LfotFRavwfOdb8L9tP1AqLD1/6lDUSYeGAgkFKN+uXKLWBY4Qv0lTEfLl6xuVOgH57ZSPSmDF+kYlTV7H/ddefkrp2HQ9d+0QQOWNWgpg5Y3xC+jl6xvxXRdzp4D53Gl2rjdHy3B1yx2Y9vndWPTFHPzHF1dg0RdzMO3zu/EPBYvbI7YSap0ZT0PiQyljAxLT8xwr5B+F85inlxRw83nZkUt2CAkFQW4yEWRtqeyH+oKtjaQNOrdCSLo6M1QN6YX/mnaaaTcKW/QQ0CzoNbObane7TOs1s1tx8Wwlmzr6x2WMejLa9aL33MghfLvgWfxzwTp8u+DZpG6GtnYn3+Lc5SxGYkOBVPTq5/fKgpesu6tASw9S6dim2308OgU1XyxEXXSEaURGXXQENlXej6EzvqOklxDfSUN3v71HTyhHcHptvmC33Zb9x7H3aMcLVTNNXsf9Dz/80NX6Vno+OrDL1dwpJZLmTqdzbfZwKK7HRV0SvQGJ43GdMwvfarEf82q+WBiPArO04+I7lEt2CAkNGWgy4Zkga0tlP9QXbG0kbTAtMaSkqzPD17vuBeAx6snmBildes3s+tHdzje9huLHV5VORr/rKtTsHnRX8+TjkgoUF4wG/Dq/TRtwVcPduMqkho5eu6Vt4EX2dmNP/626p+mpM8aGAql+H17842P4/oc26UFxAcmFpe3srlhfjKv3J6fXnug7AbNnTEM101ZItnGRTmZVhDwx5a52XxflXdd6bL5g55QHtBSyxBTi2n3NSeukw7HmRo/byLH4eglzp9lxqfD6zjoMc1GXxKrWmdlxWTVRMSspYGfHC0G3Q0hoSFNUsC8EWVsq+6G+YGsjaYPOrRCTls4MaQwBTVcnCaPdTh8WAPWrlDsNxjEMhinpNRT17WB3YBWqpt2CvadfZG/X5U1qjxnfx5rSC/05vwm1W4xIaLVbft15KcS4s4EhF9rbKp8D9BygpeAcfKWjbGjF11/uMxcDTh+LO/36PnT7PXDcfWFpR7sdvg8X44wuhbiUnVBIkHBwKMexKUKeyNe6l+P5yIwODT+saPTQfMGYimzGyVOttn8D7h1rxu3cYKYn1YhhM7uqFB+tc7W+Va0zu/NsbKJih8rnlQ92CAkNLptMAHCMCjZi1rVOqdB3kLVRX6C1AfD9npTdElOHzi3ib2eGDISAKus1iSKwG7Da7Q4GPqyC8GkwdH1+bRxDALRBevUsDJu5AsOqzLtlAfB2k+pFrxFD7Zak3emvilFPALTlpdWmn2nXkhGYAWCGd8UdSXN3FXZCIYHHxqEMIN7dz1iE3IxzPqnH6qI/dyhCbsfyVvXmC8ZUZKvooDO6dLzUMf4NuHesAcDhM8ei8bCaw8Zu/2d0KcSHPkQMmx2XCt2EP7XOVM6zkt2Q2CEkVKQSFWxDw6anENm0DCNbdmNQ4oK37sYbnUYhOulmlE26LHe1hVRfkLUBWiTu8vWNpinq4wcXY77L7BG/7YUZzrTEX4IQAmoTRYCBVdpA5+RMSdNg6IiDYyiOqmPIzU2qX7io3aIa9RSnZAS7qxCSCWwcyvHvueJ4pRchf0/2cozg2hzVmi/c1Wml5gA3oEdWJaYiT4g0YH7hWlPH1JbocJzdZRGAwfH3rC4Q3TjWICJonXgz8FtNo5u0O+P+q4b0wqMeUzIT506vF779+pQAb7vfzpiSaXZcXgiLHUJCRWk1tpbdibG7FqFAyKSxLnFsrx+9COMUrgu3PvELW3sjW3aj7YVrse2DxRg3e35uaguhviBrA4A1296x7Za7df9x1KzcgqWzR+PKcf0zbi/ssKA88Zc0FCR2Rf0qzSllFXkTi3pyKgIej3pyKmZuiHpKGS+OISdKq4G5fwBuqgNm3AVMuV17valOe99Px1YqUU9Bgd1VCGmnZIRpdz8AKRcht+LggMshatZpc4MBYyFy28YPUkuB7v/7azqM+cN6d8P4wcVJtnXHmlVX03YR2rjff+zX8f/OPmjZUXVNpx926CoIaPUAjZGbw3p3w5mDRmNLdLi7mluGudPquOyoGFyMkvOnu9pGPy+JKZlWx+VFT1jsEBImavc14+rtQx0b69R8sRBXbRviWNuuYdNTcYeFvr3RHqDNPeWv3YmGTU/lpLaw6QuyNt2enSNKJyqBBWt3ZdweYeQWSQeMevJGmtPhGPWkCLurEOKMy/HKqgi5kYgA5k0dCpT2Mo0cqy8cjWue+AhRCUyINGBJoU3jB/1vkzF//tShqFm5JemC8rG2KTgkz8K8wnWojJg43Q0pmXccvw0iEjV9GlwReROri5bEUzLjx2bC/KlDcc+Ds3GBYuSYRATCpJj/spIjePjdD/FKm3XkmE5cT0kvV3VJjLXOnI7L7Dzb6gmRHULCwvL1jYhKYLNUazKxYn2jbbRjZNMytShbaI4QsWkZYJHGFmRtYdMXZG2J9lSIyszbI3RukXTgsdZTyqQjHU4lNccv8sExlA9RT0FIrSUk6Lgcr6yKkCcSEcDS2aM7XrgZnPLlAJZILYR/fuFa5Ytg45hfNaQXlsweZfrENLHD38SCBswe2QOjSvuZpmQKRDscn/F49ZTMw7IXLp11jeVFadWQXjg06+9w25Mf4Ccxh51V+oREBOJS82L+AwHcWQigsL0rrVkqaNK5dvFQKrHWmelnZjguq/NsqyckdggJA3uPnkiqJeTUZGLL/uPYe/SEacTjgT3bMbJlt6s07vNaduPAnu1JxciDrC1s+oKszcqeE5m0RzSYlkjSQ/kcwCKtBID2fs06oNymILob0p0OZ5ea4xf54BgKUtTTsT1A3X3aDW3dfe4+62ym1hKSC3gcd0acaf5+xeBirL6uQqmexFXjBuDxy880TUW0xTDmXzVuAFZfV4EKixSz4kGj8dVv34lR1/w45ZTM/+q33vHYrho3ADPnLsBPv/RTy/SJj0sqIObE5k6bNHy9K+3qoiW4omBDh2Wm59ohFV8/z4m1zlQ/M6fzHHY7hOQ7XlOprLY7svM5AOqdbfX19O1yRZvdfpzIRX1B1pYL9ogGI7dI+mDUkzuC5BjyShCinnK5oQAhuYLHceeqiefhK4MvSrnVdXnrLgDqF8FxDGN+1ZBeqBrSy137bQ8PU3oc26KUQl41pBeq5t2EvUdrsG5nHYqP1qGb+Az9+pSg5Pzp6KFYzF8/LQVC4q6iBzDhK2Pwl74T7I/LJhVfCK07ZN0512Fk3wn4k8vPzNN5DpEdQvKZk6dafd1OnvrEkz2z7YKszW4/TuSiviBrywV7RIPOLZK2i7J2u4U4o8t0VA33226CXh+intJ/HhzsunTwSGg3ML8+Nggttft91fu6yU2Vcl0vF7VbAKQc9ZR4fr/y4dOo2vMj0y5rANobCsxcYR81WFqNI5PvQsmGWxFBNH6uk/CQWsubIBIYUnnwkIIje1hJt9S/8z5Hug7r7UJTBh6mDOvdDcOmTwMwzXwFF5FjEUQx68SjwDf/3nllm4dSfUtGYJbSHq1xdZ5DaIeQfOSMLt5uN622E126e7Jntl2Qtdntx4lc1Bdkbblgj2jw7ISY2n3NWL6+0TTfd/zgYsyfOtRTnYhs2L2zpBlzXVsE0LlbcM6DS8eQgFbU97bNbQDe8EXv+j8+hunNj2BW5M32BW8DqL0TH5eMR48Zt/ka9RSFwBtD/gHJFWHU9Cae3wmRBtxUtATCqQaPQ0OBdrvnYEJkgVphaQ96E0nlcyPENX5EN2bBkd2BbEa6ZjuFPN3NR4DMNCAhhIQCs2sbp8LeVtsBQJ8x04G37nZVm0mI2HY5pC1s+jKhTQW7WotBtkc06NwKKWu2vWNbCHXr/uOoWbkFS2ePdlUvIlt2H/2gFHM7wzrCxoJnPh2Gf7LpeORJ77E9qN/wJOp2vY2R8jR8JJIHdUu7Hov6pqQX2vn985MrtELGEfNCxj2ObYVcNUsrZOwQ9ZTYUMCqKLJeu+WJPxZiaZd3U/4+pFJc2spuYmFpfaL+qzgNFRfPxoyLp6SkNxGvnxshrqlfZd/sQzW6EUgtfTfVdPVspkBnO4U8H9LwCSGhYVjvbhg/uBhb9x/HhEgD5heuRUXiQ9QYiU0wKgYXW0ZDDhpxAd7oNAojW3Yr7V8I4PVOo3CeSdHxIGsLm750alPF7twF3R7RoHMrhNTua3bs8ANoLUcXrN2Fc848TclLnE27jbIftkSHmw6oVnxcUoF/ev4z//QmREOUAyhP+HWZda0ytevQadLoGDLrguXl/D697v/wSNEDceeQVecvgSjk7+ZBWEQ9xSmfg4a/9sDJ55ckRT3pbeRXtM6K60/1+zBUHIoXl1auwWOIZLD7nhm7qzzy/KdYPaA5q78LQlzjUKcpjkN0YxwvnXGbNuDT53+Kroe3JK+nGjUG+B455ipdOAOONVs9HiPA6hvfwRmDvXVZ8iudmnYICSfzpw7F0w8tte0GqzfB+H7rDbh06q229qKTbkbbC9cqPdRskwJyknVt1CBrC5u+dGirsQliSCQigHlTh+a0PULnVihZvr5R6UcEaDfcK9Y3Kt1s+2LX5Gn+8vV/UbK7vHU2VhctUYveEREsb/2Gf+chIRrCGD2WOKgvaL0Bv22rtrfrUNTX6BjypDeB5esb8T0XUU8C5lFPRn74Rgm2ttyhFJ6c6vesKtKgaUuhuHSgfxchRghRBOAmAGMAfAXASABFAG6QUj7g0eYEALcDqATQBcA+AA8CuEdK2eaD7GDiok6TVXRjEjbjFYAO6buNz96LL9d9H11hcvELQLiIGqvd14z1J/4Wt8nNymO+WeTYwcNH8OL+z/DoB6VJ45JlurAHx9rHJRXtxeBtUEpf9hgB9rs3T+Dh1192lQbtVzo17RASbqoiDZhQtBIC9g9RC4TE0qIHICJ/A6Da0l7ZpMuw9dgijN21yNKhoj8Mrj9/McZNuiwntYVNn+/ahvTCktmjHB8yRwSwdPZox/E66PYInVuhY+/RE67CHwFgy/7j2HvU/mlvynZtasB8LzocyyOzbZ05gJZCtrD1eiwpfMD+ZkdEcGTy3Xjw2bO9603EEA1h9K90GNQL78d7sleHYzG1ayjq23y8Gb+sPWrqGHKtN4G9R0/gowO7UNFZPepJSkA41G9J/D4Yo55S1Wv2PTsDnzkLNyMWARHY3wUBgNMB/CL2/6MAjgDwnLsphLgMwBMATgFYA+A4gJkAfg6gCsAVKWgNLums06TQGfelZx7DRXXfR8QqOlT/j0LUWHua70CcLGgf800dZkBS5FjiXDMQwFwAczsnR9japgu7TCH/p0NTcem2WPq1xXlSTV++d9q5mOG414TzEDsvtSrHlYBf6dS0w3RzQrDxbu3hqAKqD1HHX/4vaCgZDLFpGc4zpLLpKWty0s2ODpBAawuhPl+1Abhq3AD0O7MrVqxvxBaTa/KKwcWY5+JBRNDthR06t0JG7b5mz9vZ3WynZPe9ddZpeLCOejLjsbYpOCTPwn/2fg59P9qRvEIsiuCZwwOhF2F3rdd4HlxEQxQIiXmF67C5paOjzvL8xor6Pl27Hw+3+aTXsNxt1FN8PZv6LZn+np3EaZ72p9fACeTvgs4tnU8BXAJgp5TysBBiEYA7vRgSQnQHcD+ANgDVUsrtsffvAPAigG8KIa6WUv7GF+VBIhN1miyKkNfua0bXV/8TBZHUauLpthIdCvqYb9b4QSAWMTXj+5otDxG2lunCsZRM+bv5Wrq2Q23BV6JlwLpHMX3bC+hxbGvScX1cMh5PH/oqotL+IU5UAjc9/yn+3H+8qR0z9IjfxAcjTmnQfqVT0w7TzQlJ58OVskmXAZMuw4E923Fk53OQpz6B6NIdfcZMt6zFlDPaQqzPF20JVA3phaohvXxLIQ+6vTBD51bIOHmqNS3bebXb8/Bm4HXrei36vYJV1JMZm6NleLxsNr47qtUyiuDk/kZPepOO0+WgLiVQGdmDoeJQhxuNdJ1fFbupRj152a/X7ayW6xEJrmpuAfEaOEH7XXjdLh+RUrYAeMYnc98EcBaAVbpjK7aPU0KI2wGsB/AdAPnn3Mpih78nnn0eP3NRE09LUTS/+DVL8zVr/KCnQBcXjMaa0gtTirC1TBcun4MfvXISX2te5Vhb8MqCl7QIs2Pm3pAex7bikaJtSg9xohJY0ToLd4jtnpuP2B4X/Eunph2mmxOSiYcrg0ZcgEEenB6B1qbvx+t2eaAvJW0mDOvdzVdnUdDthRE6t0LGGV28feRO23m1e+GhlSlHPVnqKRlqOXD6dh5cDur6DVRVpKFDql66zq+K3Q9TjHrysl+v21kt99JQILG4dNB+F163I45cHHt91mTZy9CixCYIITpLKT/PnKwMkKUOf3uPnkD3w5uBIhfRofp/DBe/Tmm+pinQeppvihG2ZunCe4+ewIPvD8SDsK8tOCHS4JwuD3cPcVa+PxA3zLgLfTbe6rn5iN1x+ZFOTTv2dggJDVl8uJK2fWRCWyr7oT4SUiLZFkAyi9cnhyoF8dwyVBxCn7+YpA5akBj15EQ69Jpu53FwNkZLZUyvyfLEqCcV4uvZdP7yqndK8YdA3X1aSlLdfVrkhqLd5a2z0SZV7547FpcO0u8ile2II+fGXvcaF0gpWwHsh/bQp1TFmBBih9k/AMN9U+wXGejwZ0btvmbfokO9pvm+vrPOc4St3f4T/26U/fBw2wz8sm0WHm6b0SEyd76Lhh26Y02FZ4qmATXrNEe9AT1yrOaLhY6RYHbH5QbacWeHkNCQpYcrad1HJrSlsh/qIyGFzq2QMax3N4wfXOxqm4rBxY5PG73YveasJlfrJ0Y92ZEuvaZ2PQ7OiTWiMqrXxO6Zg0ZjS3S4u5pbCVFPVnbd6J0QacAfuy/BoDVTgWdvBV76sfZ6byXw0CVaSpGDXb2hgO7gsnTWJRaX9qgXyO7nRjzTI/b6scVy/f2e6ZeSYfQOf25w+J2rcPJUa8o18RJteaH4aJ2r9a3mGuP+VfQMFYdQEUvJVMHNQ5yTp1q1cWzuH4Cb6rCx9N/xH19cgUVfzMG0z+/G1S13OEaAxe3Y/K0K7bizQ0hoyNLDlbTuIxPaUtkP9ZGQwtyXEDJ/6lDUrNyiVC8iIoB5U4emxe7Fg08DXlMy3QG7KIB06jW163JwNnat8lNvYlrMX8VpmDn275Tt3vPgbFxQtEQpukAiApEQ9eRVr068Fk2LxYoHa7WuZDNXAOU1tnbtiksDiDcUMCtUHZTfhardXEIIcQBaYzpVfi2l/Faa5Nihu3iVXBFSyrGmRrTorXK/RPmGiw5/xuhGu06IdpzRpRC/c1kTL76eYXz1mq7bTXiLHDPONcb9q+jx2rDDmLpuqi9x/yUj0PTlb+GXb7hvPOLluGgndTuEhAb94YqbwuMuH66YFR5XqtUUZG3U53uB9bDZCyOcaUNI1ZBeWDJ7lGOnn4gAls4erZwi5dbuwLZ3PTm3rKIA0q3X1K7LQT2xa5VfeidEGjC/cG1yvanfrwJ2V2k3tDYtd6uG9MKhWX+H2578AD+J1YWx6vwlEYG4dIVji2E7vYmo1qKBjAJPzwN69kfVkGpbu3px6XMjh7B0zHF8pXeh0s14UH4XeZqS+DaAUy7Wfz9NOvTIrB4Wy7sb1ssvYh3+rLrTxkmMbmzaoHWENRvjBqqNL4td1sQTAvj07Ep0Nfxevf42+vUp0b6BLjHONcb9q+jxmpKpsp0XPbQTHDuEhIpUHq7Y0LDpKUQ2LcPIlt0YlLjgrbvxRqdRiE66Weu8l6vaQqqvdl8zlq9vNK1vOH5wMeZPHepqTA2bvTDDtMSQctW4AVh9XQUqLFKmKgYXY/V1FbhyXP/02XUb9RR7rTVJs0hF7+OXn4k7S17GPxesw7cLnu2QDqJkd/It2mCtgN61yq/ze2XBS1hdtMQ67UWPeqpf7Wh35twF+OmXfoq66IikKAMhgI9LKiDmrAPKazzrNXL7GU8r16KBjGq1uBTsVgwuxg/+3+X4ypULtUm08kalp0SB+F3kIVLKqVLK4S7+3ZImKW/FXocZFwghCgEMBtAKwF3OdC5RPseyThMA7f2a2O+8fpU2flg57xXGFz01101NvCgEun51Yfsbx/YAdfdh2Jv34c6Sl5VS9nQqBhej5PzpyusD7SnNiXONWbqwStqx15RMp+286qGd4Ngh/iGEKBJCzBdCPCSE2CmEaBFCSCHE9SnYnCCE+KMQ4rgQ4lMhxC4hxL8IIQr81B4aSquxtexOy9IR+t9tUmDbqEVKD1G3PvELjHjhWoxs2W1qb2TLbox44VpsW7s8d7WFUN+abe+gZuUWy8YdW/cfR83KLXhs27vO2kJoL+wwcivEVA3phaohvXwPgVS26zbqCQAGTsR/XXKNP3pjEQnlB2u1/KGi9kVHeo7FF5NuRv+xFzrbcYiGkDHtUUTw6nk/wKLJ1/tyft/d8QzOeXolIjG3n2XaS0LUk1OERdW8m7D3aA3W7axD8dE6dBOfoV+fEpScPx09PNbesfo+TCn+EIPW7HZn7OAr2o1uyYjsf38DYpe44kUAfw9gBoD/Myy7CEBXAC/nXadEI6XV2j+7VMOmDc4RXoDS+KKl5h7Hwtbr45GaVtGhbVKg6cIlGGoRNTYXwNzOwJbocCxvnW1bUyqe5lvSy3OEbQc7lsdmnXZc6zEl0+whjk4qemgnWHaIb5wO4Bex/x8FcASA56dFQojLADwBLeJ4DYDjAGYC+DmAKgBXpKA1lNTua0bN9qGoFAtNS0fo4+6K1lmo2zYEq0c320aqNGx6CmN3LYo/IDV7KAtoTTrKX7sTDWcNsoxCCrK2sOmr3dfsmOkAAFEJLFi7C+eceZrtsYbNHqFzi0B7CpmOm2slux5CWX3RW7/K9satz192AL+/BhAr1CKVyucAPQdokUUHX+koGwAGTkRk8s2YqPA0RZX+u+4BoNbaPh71pLD/Yb27Ydj0aQCmpSLP3G7i51b3nDdDTRs7RGFl9fsbILukHSFEDwB9AXwspTycsOhxAHcBuFoIcY+Ucnts/S4Afhxb578zKjablIywjmjceLfauAw4ji/tqbnAoS/Ma+LpF7+nLvweqmdcYTtGSwAVkTexumgJFrTeYNoNMCnN18Vco0fY6nbundYVVc2PA+8lOwGd0o4bPaRkJjrWHI/LgF9p0LSTGTvENz4FcAmAnVLKw0KIRQDu9GJICNEdwP0A2gBUJ8wTd0B7QPJNIcTVUsrf+KI8JCxf34ioBDZLrXREYp3YkzgNtdGyDuPeivWNtr+byKZlrrrQik3LAAsHTZC1hU2fbkuFqHQ+1rDZI3RukWzjpQZMqvgYkdABlWgIvzi2x13xRqBD1FMg+PxEZrcjOYsQYgGA4bE/x8Re5woh9Ny6V6SUDyRsMgvAQwAeAfBt/U0p5SdCiBugObk2CCF+A+2J/KUAzo29vyZNh5E7pGF8uWrcAPQ7sytWrC/G1fuTL35P9J2A2TOmoXpIL8cxWn/IXCAklhbej/dkrw4RXBWDizHPWJ/CKcI2IXJsQesN2Bwtw3VnH8S8wnXo8fLWZBEJ9cbaj60RW0zSCv7U61qMP34bhMLDCIkInu81x7TqnOlxmeCkh3aCZYekjpSyBcAzPpn7JoCzAKzSHVuxfZwSQtwOYD2A7wCgc0uRvUdPJKVcNcp+tk0ztuw/jr1HT5g+DDywZ3s8nU41Iva8lt04sGd7UqH0IGsLmz4zW07YHWvY7BENOrdI9rGJegJg2+HOEz5GJJhiFw3hF00bvW8XFOdWZ48Ds9ftSC4zA4CxSN+E2D+dB6CAlPJJIcRkALcBuBxAFwD7APwbgBVSmlavCxdpGl+SU3MvxhldCnGpMTXXxRhdICT+s/dzeLxstnOar12ErQAOnzkWdedch5F9J6Dui+fRZ+Nt1joMXVwd047rz1B6iCNmrsAd5TW4KsX0Zb/SoGknM3ZIoLg49vqsybKXoUWJTRBCdFZJYY91zzVjuMX7eUftvmbP25n9jo7sfA6D4L4L7ZGdzyU5aIKsLWz6/D7WsNkjGnRukWCQqainfIh4AvIj6sllQ4GUtyM5i5Sy2uX6DwN42GZ5LbQUFmJGmscX29RcD2N034924LujWoEShbpGNnNN35IRmAVokWOrb/UU3Wt5bC4f4viVvkw7uWWHBIJzY697jQuklK1CiP0AzgNQCmCPcR2SzMlTrb5uJ0994sme2XZB1ma3HydyUZ/fxxo2e0SDzi0SLNId9ZQPEU9AfkQ9uWwoAEC7AQzS50BIPpLN8SVTY3SG6o11IJOp64QQr/SIvX5ssVx/v6eKMSnlWLP3YxFd5a6U5ShndPF2u2m1nejS3ZM9s+2CrM1uP07koj6/jzVs9ohGJNsCCMko+RDxBAQn6unYHqDuPu3mru4+7W83TL5Fq6emQqyhACEkzWRzfMn2GJ1KdK8qJSOAyhu18azyRjq2CAEghDgghJAu/v0qW1Jjr0xhV8Rr3Tmr7fqMmQ5Aqwelgr6evl2uaLPbjxO5qM/vYw2bPaJB1x8JF0GKeErl6X22o56aNmjRDWb7Tyi07Eg2GgoQEgZydXzJ9hidL9G9hOQebwM45WJ9k7YLvqBHZvWwWN7dsB5xYFjvbhg/uLhD8WynjnoVg4stU30HjbgAb3QahZEtu5X2LwTweqdROM+kZlSQteWqPies9PlpK4z2iAadWyRthVADaTcLEQlGvV/t8ib677onZcfQu6O/i3MOvoqIQgcuN1FPjue3fpW9M8pQaNnRbooNBQL5PcuCXUIA+Od4nnyL9jtWSc8zji+pONayHZWa7cgxQkKKlHJqtjXEeAvABQCGAehQDF4IUQhgMIBWAE2Zl5a7zJ86FDUrt6BSNGB+4VpURN5MWmdLdDiWt85GnSzDvKn2NRSjk25G2wvXokA4hyC1SQE5yfoaOMjacklfVCEaLCJgq89PW2G0R+jcCjW1+5qxfH2jqcd4/OBizPfYwjoTdvWnFp/jMzyK0/BJ3wm4fMY0Z7seIhI+LqlADw9P5M3Ow5UFL2FO4QOAkJBoj22PY+EYMrcbxZUF12FJ4QMoENK6ra9i1JPS5xZpcI6yAjoUWq6Nlil8H6pd16LJ5e+vn3YJiePR8WyKl6hKPxxr2Y5KzXbkGCEk27wI4O+hden9P8OyiwB0BfCySqdE0k7VkF74zQWNGLtriek1q5RAReRNrC5agvrzF2PckL+xtVc26TJsPbYIY3ctsrQnhOacqT9/McZNuiwnteWKviWzR2Hh2t22TpqIAJbOHm17reunrTDaI4DIdtdzIUQRgJsAjAHwFQAjARQBuEFKqdTa3cTmBAC3A6hEe5v3BwHcI6VsS1HvjvLy8vIdO6w6++YGa7a9o/xDunJc/8DYdXpq8dmF/47qr19hb6xpg3JEQpsUuPaLhbh01jUpn4cJkQasLlqi9KQEIgLUrEu6EbSyO69wHSojJjVfHKKe7OwaiQigru/PUHJ8u7P+GMeKL0Dl4X/Lue9ZrtgNGmPHjkV9fX29VQHdsJCVecLFuGY1vljaVYmqdHKs6ftVcaylciypFms/tge4t1J9fZ2b6piWSIgCmZgnhBCLANwJm3sJIUQPAH0BfCylPJzwfndoKZLdAVRJKbfH3u8CzfF1IYC/k1L+JkWNeXE/oUya5qiGTU9BbFqG80zS7F7vNApy0s0oc3DOBFpbLuiLUbuvGSvWN2KLyUPcisHFmOfiIa6ftsJoL9dJZZ4IgnOrJ4CPYn8eBdACoD88OreEEJcBeAJa3v4aAMcBzITW2vdxKaWD58PRfs5PRrX7ml2FQK6+rkLpB5Vuu9+MvGQZpZT4lKHpwiUYOuM79kbrV0H+bj4Eora2FrTegN+2VftyHtZ0+qGpU86SgROBuX9wtKuTmIP/V3EaZn7j71B+wQTPes3sP9/5FvOIMxP09aZ9fneHWgBmBOl7lit2gwidWxpZmSceusR9tFPC+OKIndMoHRfebp1lfqVjAuk/l4SEmHTNE0KIBQCGx/4cA+B8AJsBNMbeeyXxvkII8W0ADwF4REr5bYOtbwB4HNq9xG+g3Utciti9BIArZYo3UPlwP+GKNI+rB/Zsx5Gdz0Ge+gSiS3f0GTMdgyzqROWUtlzQZ8DP8ht+l/IIm71cJZV5IghpiZ8CuATATinl4YSnLa6JPW25H0AbgOqEpy13QHva8k0hxNWpPm3JdZavb1S60QaAqARWrG9UutlOp91K0RB3bAHJ6Xf63wVC4st1C4FhI+xvZMrn4EevnMTXmlclRTwJAdRFR2BF6yxsjpZ50ms8D0PFIVRE3rROHTRD78AVu4F0Or+Nsh8a29qdSG/sEFijMDepfm5VkQYAao6txPWqIg0ddJkRlO9ZLtklJE4qHf7cFJm3Wnfj3WqOLUBbb+MyZ0eTm1p8fqZjAqnVGyOEZIsZAIzF9ybE/ukoPTSXUj4phJgM4DYAl6M9C+TfAKxI1bEVOjIwRw0acYE3h0yQtQHB12fCsN7dfHPI+GkrjPbCSNadW1LKFgDP+GTumwDOArBKd2zF9nFKCHE7gPUAvgPtKUwo2Xv0hKuuDACwZf9x7D16wvbHlm67azqtVUvnAxCBxKcvLEHXf6i2tfvg+wPxIO5w7DriRa+RuGNI1TOkE+vAFYTP7Qx85mr/brcLwvcsV+wS0oFsdvhL54V3abVzLb6mDa7rADo61tjFlZCcQ0pZ7XL9hwE8bLO8FtrDd5IqQe5CG2Rt+n68bsdUeRJCsu7c8pmLY6/Pmix7GVqU2AQhRGenQpBCCKs44eEW7+cEtfuaPW9nd7OdTrtuo56kBLq+X2d785So1xjxlKpeM7w6hvQOXEH43E7iNE8a3GyXze9ZLtklpAPZ7PCXiQvvTEeNASl3cSWEEBIjyF1og6wtlf2wgy8JKfnm3Do39rrXuEBK2SqE2A/gPAClAEyqb+c/J0+1pmW7dNp1G/UUX8/m5inT58GrY0jvwBWEz602lqLpxskoRPt2KmTze5ZLdgnpQDY7/GXzwjvdAkBbEQAAFmFJREFU6RoqkWOEEELsCXIX2iBrS2U/7OBLQkq+Obd6xF4/tliuv9/TyZBVAbNYRFe5a2UB4Ywu3j5yp+3SaffzFKOevOzX63ZWy906huKUTlbarys9CTdq4461YKjo5VjwHdAi3LZEhysXxddrl6nYttXrYnlY7BLSgVJjmZk0b5dINi+8M5WuYRc5RgghxJ5szlHp2kcmtKWyn0zpIyRg+HIHJYQ4AGCgi01+LaX8lh/7donuVghtIUivhaqdtkun3UdTjHrysl+v21ktd+sYAqClvcRuqHzRa9JNrBLA852BLdHhWN46O15A34rlrbOxumiJUv2zNimwonWWd70elofFLiEdKBmhdQR0203JD4dNNi+8ma5BCCHBJxNzlNcI2yBry5Q+QvKIiE923gbwlot/7/u0XyN6ZFYPi+XdDeuFjmG9u2H84GJX21QMLnas/5NOu5/01RrdqPamia9mc/PkWa84BNTdp9VhqbtPm7AU7S5vnY02qZpb2bEDV8rnt36V1v3LZHKUACoib2J10RJcUbDB1ubmaBnu7zlf0+eg/397/oujs8xSrwW5+P1Nh11Ckph8i/PvUsfY4e/YHttxzRb9wtsNfl14M12DEEJyg1TmKDuaNgAPXQLcWwk8eyvw0o+113srtfebNuS2tnTqIyQP8cW5JaWcKqUc7uLfLX7s14S3Yq/DjAuEEIUABgNoBdCUpv3nBPOnDkVE0ccSEcC8qUOzavfyGdOwJTpcveYWoHTz5EbvxEgD/rftB0oTlJXdzdEyLGy9Pu7gsnTWWXTg8nx+HbqJ6SYLhMTSwvsxIVbjzMruqJnfBWrWaefYjIETgZp1GD3zn3Pqe5ZrdgnpgN7hT8HxHB9fgnDhnYpjjekahBCSG3iZo5yweXALQHt/9SygfnXuakuXPkLyFL8it4LCi7HXGSbLLgLQFcBmp06J+U7VkF5YMnuU4w13RABLZ49WTpFKp91PL/ye56gnO7sqeq8ueAmrOy1Fj2NbzVcwTFB2dh9rm4KaLxaiLjrC3FkXcwyhvMaz3qTz66KbWIGQmFe4ztluaTUw9w/ATXXAjLuAKbdrrzfVae+XVufk9yyX7BKSRPkcJcczymuyf+Hth2Mtm1FjhBBC3OFmjnLC4cFtHBkFnp7nPKcEWZvf+gjJY3KyarEQogeAvgA+llIeTlj0OIC7AFwthLhHSrk9tn4XAD+OrfPfGRUbUK4aNwD9zuyKFesbsWX/8aTlFYOLMW/qUNc32umyO+XrV6JRNOPLdd9HBDKpMLtELALJ5VMLJ73XnX0Qtx9fCQHFCapnf6C02tbu5mgZ2s65CLeOlShv3eUqB9/1+XXZTUwCqIzswVBxqEMheMvPzaHQcq59z3LNLiFJqHT4c3vhHRvXbCmfA/QcoEVgHXwlefnAidpDh9JqzbFmt3/dsTZzhfOF+uRbtHVVHPhM1yCEkOziVxdaFw9uIaPa3OQ0jwVZm5/6CMljhFQtZJROEUIsADA89ucYAOcD2AygMfbeK1LKBxLW/zaAhwA8IqX8tsHWN6A5uU4B+A2A4wAuBXBu7P0rZQoHLYTYUV5eXr5jxw6vJgLH3qMnULuvGSdPteKMLoWoGtLLl5o/abHbtAGfvrAEXd+vS16WePPkl94/XuW+iOPcPzjbzdT5rbtPi4ZwSd25t2BbyZXB/z7QbqAYO3Ys6uvr6626zYaFwM8TD12S8rhmi5NjzY0zqmad85ju5CzTbak4ywghaYXzhEbg54kgc2yPFuXrlpvq0u8ECrI2QnKEVOaJoERuzQBgLIIxIfZP5wEoIKV8UggxGcBtAC4H0AXAPgD/BmBFKo6tfGVY725publOi93SanT9h+q0PLVI0usy6gmAFrFwbE8HLVk9vx67glWe3QmVk/2t/ZRT37MctEuIEj6Na7bYRXSm44m2m6gxQgghuU3TRu/bpduBFGRthISAQDi3pJTVLtd/GMDDNstrAVySkigSbBzS4XwhHyYodhMjhCSSzXEtnY41pmsQQkg48Pjg1vN2mdhHJrQREgIC4dwiJJDkwwTFbmKEkESyOa5lwrGWiQcfhBBCskeQH9wGWRshISDfuiUS4h/5MEGxmxghJJFsjmv58MCAEEJIdgnyg9sgayMkBDByixArgjRBpZJqw25ihOQPqabdZXNcy4cHBoQQQlInlblMf3DrtjGKqv0gayOE2ELnFsl/vE5SQZigmjZoBZjNNAys0hxXKq2NZy5X7ybGosuEBA8/xgIgu+NakB4YEEIIyTx+zWXpeHAbZG2EECWYlkjyl6YNWsv7eyuBZ28FXvqx9npvpfZ+0wZnG5Nv0SYeFfyeoOpXaZOj1U3owVptef1qZ1vlc4CaddpNqhkDJ2rLy2u86yWEpAc/xwIgtXHt2B6g7j6tM2HdfdrfqjBNmhBCwoufc5n+4NZpLlN9cBtkbYQQZRi5RfKT+lX2kUr6JDVzhb1DJ1tRT00bnPcJaMufngf07K8WwcVuYoTkFukaC9yOa3yiTQghxCvpmMvK5wA9B2gPWw6+krx84ERtDnGyE2RthBBX0LlF8g+/J6lsTFAb71a7+QO09TYuU98/u4kRkjukayxwM6759bAAYJo0IYSEkXTNZX48uA2yNkKIK+jcIvlHOiapTE5Qx/a4q4cDaDenx/ZwsiQkn0j3WKAyrvGJNiGEkFTIxHWt1we3QdZGCHENnVskv0j3JJWJCappo/ftOHkSkj9kaiywG9f4RJsQQkgqBPm6NsjaCCGuoXOL5Bf5MEl9fiKz2xFCgkm2xwI+0SaEEJIq2Z7L0rEPXnMTEkjYLZHkF/kwSXXultntCCHBJNtjQSoPCwghhBAg+3NZOvbBa25CAgmdWyS/yIdJqnRyZrcjJMAIIYqEEPOFEA8JIXYKIVqEEFIIcb0HW4Ni21r9+006jsEz2R4L8uFhASGEkOyS7bksHfvgNTchgYRpiSS/CNIk5bWWTMkIYGCVu3SggROZ2kPyldMB/CL2/6MAjgDon6LN1wA8afJ+Q4p2/SXbY0E+PCwghBCSXTIxl/GamxACOrdIvhGESappg1aE2UzDwCpg8i3OBZcn3wKsnqVWyFlEtM5ihOQnnwK4BMBOKeVhIcQiAHemaHOnlHJRqsIyQipjQarF2oP0sIAQQkjukq7rWl5zE0ISYFoiyT8m36JNPir4PUnVr9ImSCvn2sFabXn9ans7pdXAzOXOxyEiwMwVat3JCMlBpJQtUspnpJSHs60lK3gZC5o2AA9dAtxbCTx7K/DSj7XXeyu195s2qO1bf1jgBj7RJoQQYiQd17W85iaEGKBzi+Qf2ZqkmjYAT893fvIjo8DT85xvMMvnADXrtJtFMwZO1JaX13hRS0iYOVsI8Y9CiO/HXkd7MSKE2GH2D8BwX9W6GQv8utjXyebDAkIIIfmDn9e1vOYmhJjAtESSn5TPAXoOADYu01rTGxk4UbsJ8/Ppy8a71UKaAW29jcuc919arf1LNb2IEJLItNi/OEKIDQCulVK+kxVFTqiMBW4v9nv2VxuDZi53tssn2oQQQpzw67qW19yEEBPo3CL5SyYnqWN73NX5AjSn27E96gUvObESkiqfAvgRtGLyTbH3RgNYBGAKgPVCiDFSyr+qGJNSjjV7Pxa9VZ6qWFPsxoJ0XOwD2XlYQAghJH9J5bqW19yEEAvo3CL5TyYmqaaN3rfjBEryHCHEAQADXWzyaynlt/zWIaU8BuAHhrdfFkJ8DcArACoAXA9gud/7TjvpvtjnE21CCCFBgNfchBAL6NwixA8+P5HZ7QjJLd4GcMrF+u+nS4gZUspWIcQD0JxbFyEXnVuZutjnE21CCCHZhNfchBAL6NwixA86d8vsdoTkEFLKqdnWoMAHsdfTs6rCK7zYJ4QQEgZ4zU0IsYDdEgnxg9LJmd2OEOI3lbHXJtu1ggov9gkhhIQBXnMTQixg5BYhflAyAhhY5a7mzcCJTO8hJA0IIXoA6AvgYynl4YT3KwD8WUrZYlj/YgD/GvvzVxkT6ie82CeEEJIrpFK/kdfchBAL6NwiRCfVQsmTbwFWz1LrViYiWncxQogjQogFAIbH/hwTe50rhJgY+/8rUsoHEjaZBeAhAI8A+HbC+3cBOE8IsQHAodh7owFcHPv/HVLKzb6KdwMv9gkhxDVCiCIAN0GbH74CYCSAIgA3GOYGFVuDAOy3WWWNlPJqb0oJmjZonX3N5qqBVdq1tErnXV5zE0JMoHOLEL8m2tJqYOZy4On59pOtiAAzV6jZJIQAwAwAxhCjCbF/Oio3MKuhOb7GAfg6tJufowAeA/BLKeWm1KV6gBf7hBCSCqcD+EXs/0cBHAHQP0WbrwF40uT9hhTthpf6VfbXyAdrtTls5gqgvMbeFq+5CSEm0LlFwo2fEy0AlM8Beg4ANi4DDr6SvHzgRO2GkpMsIcpIKatdrv8wgIdN3l8JYKUvovyCF/uEEJIqnwK4BMBOKeVhIcQiAHemaHOnlHJRqsJIjKYNznMToC1/eh7Qs7/zHMVrbkKIATq3SHhJx0QLaOuUVqee5kgIyW94sU8IISkTq6P4TLZ1EBs23q0WVQxo621cxmtuQohr6Nwi4SVdE61OyQhOrIQQa3ixTwghQeVsIcQ/AvgSgA8BvCql3JVlTbnJsT3u6kEC2sOZY3vc1Z3k/EZI6KFzi4STTEy0hBBiBS/2CSEkyEyL/YsTa0ZyrZTyHVUjQogdFouGW7yffzRt9L4d5zBCiAsi2RZASFZIZaIlhJBU4RhECCFB5FMAPwIwFsCZsX+TAbwEoBrAeiHE6VlTl4t8fiKz2xFCQgsjt0g44URLCMkmHIMIISSOEOIAgIEuNvm1lPJbfuuQUh4D8APD2y8LIb4G4BUAFQCuB7Bc0d5Ys/djEV3lKUjNHTp3y+x2hJDQQucWCSecaAkh2YRjECGEJPI2gFMu1n8/XULMkFK2CiEegObcugiKzi0Crd5jJrcjhIQWOrdIOOFESwjJJhyDCCEkjpRyarY1KPBB7JVpiW4oGQEMrHJXZ3LgRNbbIoS4hjW3SDjRJ1o3cKIlhPgFxyBCCMk1KmOvTVlVkYtMvgUQiredIgJMvjm9eggheQmdWyS8cKIlhGQTjkGEEJIVhBA9hBDDhRB9De9XCCE6max/MYB/jf35q0xozCtKq4GZy53nPBEBZq7Q1ieEEJfQuUXCCydaQkg24RhECCG+IIRYIIR4WAjxMIBvxN6eq78nhLjesMksAHsALDG8fxeA94QQvxVC/Dz2bz2A9QA6A7hDSrk5fUeSx5TPAWrWaVHIZgycqC0vr8msLkJI3sCaWyTclM8Beg4ANi4DDr6SvHzgRC1agjeVhJB0wDGIEEL8YAYAY1HCCbF/Og8o2FkNzfE1DsDXARQBOArgMQC/lFJuSl1qiCmt1v4d2wM0bdQ6AHfuptWTZNo9ISRF6NwihBMtISSbcAwihJCUkFJWu1z/YQAPm7y/EsBKX0QRa0pGcH4jhPgOnVuE6HCiJYRkE45BhBBCCCGEeII1twghhBBCCCGEEEJIzkLnFiGEEEIIIYQQQgjJWejcIoQQQgghhBBCCCE5C51bhBBCCCGEEEIIISRnEVLKbGvIKYQQH5522mnFI0aw6C8hhCSyZ88efPbZZ8ellF/KtpZswnmCEELM4TyhwXmCEELMSWWeoHPLJUKI/QC6AziQZSl+Mzz2+mZWVRC38HPLTfL1cxsE4BMp5eBsC8kmeTxP+Em+/gaCCM91ZuB5VmMQOE9wntDgbyY48LMIDvwsUpgn6NwiAAAhxA4AkFKOzbYWog4/t9yEnxsJO/wNZA6e68zA80yIO/ibCQ78LIIDP4vUYM0tQgghhBBCCCGEEJKz0LlFCCGEEEIIIYQQQnIWOrcIIYQQQgghhBBCSM5C5xYhhBBCCCGEEEIIyVno3CKEEEIIIYQQQgghOQu7JRJCCCGEEEIIIYSQnIWRW4QQQgghhBBCCCEkZ6FzixBCCCGEEEIIIYTkLHRuEUIIIYQQQgghhJCchc4tQgghhBBCCCGEEJKz0LlFCCGEEEIIIYQQQnIWOrcIIYQQQgghhBBCSM5C5xYhhBBCCCGEEEIIyVno3CKEEEIIIYQQQgghOQudWyQJIUSREGK+EOIhIcROIUSLEEIKIa7PtjaiIYToJ4R4UAjxvhDicyHEASHEL4QQZ2ZbGzFHCPFNIcQ9QohNQohPYr+pX2VbFyFBgPOO/3CeSD8c1wnxB84B2YHzRPbhPOIvhdkWQALJ6QB+Efv/UQBHAPTPmhrSASHElwFsBlAC4CkAbwIYD2A+gBlCiCop5YdZlEjMuR3A+QBOAjgEYHh25RASKDjv+AjniYzBcZ0Qf+AckGE4TwQGziM+wsgtYsanAC4BcLaUsg+AB7Osh3TkXmgT0Twp5TeklAuklBcD+DmAcwH8JKvqiBX/CmAYgO4AvpNlLYQEDc47/sJ5IjNwXCfEHzgHZB7OE8GA84iP0LlFkpBStkgpn5FSHs62FtIRIUQpgK8BOADgvwyL7wTwVwA1QojTMyyNOCClfElK2SillNnWQkjQ4LzjH5wnMgfHdUL8gXNAZuE8ERw4j/gLnVuE5BYXx17/JKWMJi6QUp4AUAugK4DKTAsjhBASCDhPEEIIsYPzBMlL6NwiJLc4N/a612J5Y+x1WAa0EEIICR6cJwghhNjBeYLkJXRuEZJb9Ii9fmyxXH+/Z/qlEEIICSCcJwghhNjBeYLkJXRu5SmxVq7SxT+2HM0PROyVeduEkIzCeSdn4DxBCPEdzgF5BecJkpMUZlsASRtvAzjlYv330yWE+Ir+JKWHxfLuhvUIISRTcN4JBpwnCCHZgHNA7sB5guQldG7lKVLKqdnWQNLCW7FXqxz4obFXqxx6QghJC5x3AgPnCUJIxuEckFNwniB5CdMSCcktXoq9fk0I0eH3K4ToBqAKwGcA6jItjBBCSCDgPEEIIcQOzhMkL6Fzi5AcQkr5NoA/ARgE4J8MixcDOB3AKinlXzMsjRBCSADgPEEIIcQOzhMkXxFSsk4cSUYIsQDA8NifYwCcD2Az2lvDviKlfCAL0kKPEOLL0D6LEgBPAdgDoALAFGjhwxOklB9mTyExQwjxDQDfiP3ZB8B0AE0ANsXea5ZS/nvmlRESDDjv+AfniczAcZ0Q/+AckFk4TwQDziP+QucWMUUIsQHAZJtVHpFSfjszaogRIUR/AD8EMAPAlwAcBvAkgMVSyuNZlEYsEEIsAnCnzSoHpZSDMqOGkODBecdfOE+kH47rhPgH54DMw3ki+3Ae8Rc6twghhBBCCCGEEEJIzsKaW4QQQgghhBBCCCEkZ6FzixBCCCGEEEIIIYTkLHRuEUIIIYQQQgghhJCchc4tQgghhBBCCCGEEJKz0LlFCCGEEEIIIYQQQnIWOrcIIYQQQgghhBBCSM5C5xYhhBBCCCGEEEIIyVno3CKEEEIIIYQQQgghOQudW4QQQgghhBBCCCEkZ6FzixBCCCGEEEIIIYTkLHRuEUIIIYQQQgghhJCchc4tQgghhBBCCCGEEJKz0LlFCCGEEEIIIYQQQnIWOrcIIYQQQgghhBBCSM5C5xYhhBBCCCGEEEIIyVno3CKEEEIIIYQQQgghOcv/B46ZnH9n84N4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x216 with 3 Axes>"
]
},
"metadata": {
"image/png": {
"height": 209,
"width": 603
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"from clifford import Cl,MVArray\n",
"from pylab import * \n",
"\n",
"def plot_ps(ps):\n",
" x = [p[e1] for p in ps]\n",
" y = [p[e2] for p in ps]\n",
" plot(x,y, marker='o',ls='')\n",
"\n",
"figure(figsize=(10,3))\n",
"figi=130\n",
"signame = {'Eudlidean':[1,1], 'Minkowskian':[1,-1],'Null':[1,0]}\n",
"\n",
"for name in signame:\n",
" sig = signame[name]\n",
" l,b = Cl(sig=sig)\n",
" \n",
" figi+=1\n",
" subplot(figi)\n",
" title(name)\n",
" locals().update(b)\n",
"\n",
" R = e**(-.25*(e12))\n",
"\n",
" ps,qs=[],[]\n",
" for x in linspace(-1,1,11):\n",
" for y in linspace(-1,1,11):\n",
" p = x*e1 + y*e2\n",
" q = R*p*~R\n",
" ps.append(p)\n",
" qs.append(q)\n",
"\n",
" plot_ps(ps)\n",
" plot_ps(qs)\n",
" axis('equal')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "regulation-company",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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