Search is not available for this dataset
input_ids
sequencelengths
512
512
attention_mask
sequencelengths
512
512
special_tokens_mask
sequencelengths
512
512
lda_lables
sequencelengths
50
50
[ 1024, 16351, 3207, 1998, 21500, 2072, 1012, 2119, 16351, 3207, 1998, 21500, 2072, 5452, 2012, 1996, 9785, 2504, 1012, 16351, 3207, 2001, 2517, 2011, 13433, 5313, 1030, 1011, 1030, 21863, 5582, 27829, 2361, 1998, 2003, 5500, 2104, 1996, 2048, 1030, 1011, 1030, 11075, 18667, 2094, 6105, 1012, 21500, 2072, 2003, 2019, 4522, 2000, 16351, 3207, 2008, 2001, 2517, 2011, 22195, 2884, 14855, 5283, 2497, 4830, 22517, 2243, 1998, 2034, 2596, 1999, 2489, 5910, 2094, 1020, 1030, 1012, 1030, 1014, 1012, 102, 101, 2013, 1021, 1030, 1012, 1030, 1014, 15834, 1010, 2489, 5910, 2094, 6753, 1996, 1062, 10343, 6764, 27268, 6633, 1012, 1062, 10343, 2001, 3130, 2019, 2330, 3120, 6764, 27268, 6633, 2008, 2001, 2034, 2764, 2011, 3103, 12702, 29390, 1010, 2021, 2043, 14721, 3734, 3103, 1010, 1062, 10343, 2150, 1037, 16350, 4031, 1012, 2174, 1010, 1996, 2489, 5910, 2094, 2622, 2003, 2145, 4975, 1998, 9229, 2049, 1062, 10343, 10408, 3258, 3081, 1996, 2330, 2480, 10343, 2622, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3036, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 3640, 2195, 3036, 1030, 1011, 1030, 3141, 2838, 2164, 3229, 2491, 7201, 1006, 9353, 4877, 1007, 1010, 3036, 2724, 15727, 2075, 1010, 3668, 5371, 2291, 12332, 1010, 10915, 3229, 7711, 1006, 6097, 1007, 1998, 2986, 1030, 1011, 1030, 8982, 2098, 9859, 1012, 2122, 3036, 22415, 2015, 2020, 2764, 2011, 1996, 9480, 5910, 2094, 2622, 1012, 1996, 2622, 2001, 2631, 2011, 2728, 7908, 2007, 1996, 3125, 1997, 14972, 8474, 2013, 1996, 2691, 9181, 2005, 2592, 2974, 3036, 9312, 1998, 1996, 4589, 2338, 1012, 2023, 2622, 2003, 7552, 1998, 2116, 1997, 2049, 14305, 2031, 2042, 6377, 2046, 2489, 5910, 2094, 1012, 1996, 2622, 2003, 3569, 2011, 1037, 3528, 1997, 4411, 1010, 2164, 1996, 18243, 4502, 1010, 23971, 1010, 2897, 9228, 12030, 1010, 3647, 6442, 2897, 2578, 1010, 1996, 2118, 1997, 3552, 1010, 20643, 999, 1010, 22432, 7959, 2063, 2470, 1010, 21251, 1010, 6207, 3274, 1010, 13316, 4313, 14321, 2897, 3036, 1010, 8224, 1010, 1996, 2118, 1997, 4729, 3274, 5911, 1010, 1998, 2500, 1012, 102, 101, 1996, 2622, 2038, 2036, 27650, 1996, 23971, 1005, 1055, 13109, 19895, 1013, 8915, 7375, 2013, 7367, 4115, 5602, 2000, 2489, 5910, 2094, 1012, 2060, 2147, 2950, 1996, 2458, 1997, 2330, 5910, 2213, 1010, 2019, 2330, 3120, 7375, 1997, 3103, 1005, 1055, 3937, 3036, 11336, 1006, 18667, 2213, 1007, 17928, 1998, 15727, 8833, 5371, 4289, 1010, 2029, 6753, 2019, 4866, 3036, 15727, 2291, 1012, 2023, 2001, 12057, 2004, 2112, 1997, 2489, 5910, 2094, 1020, 1030, 1012, 1030, 1016, 1012, 2060, 6502, 2147, 1999, 2489, 5910, 2094, 2864, 2004, 2112, 1997, 1996, 9480, 5910, 2094, 2622, 2038, 2443, 20248, 2213, 1998, 2330, 4502, 2213, 1012, 102, 101, 2087, 6177, 1997, 1996, 9480, 5910, 2094, 2622, 2024, 2776, 6999, 2046, 1996, 2364, 4216, 2005, 2489, 5910, 2094, 1012, 1999, 2804, 1010, 2116, 2838, 1010, 2320, 3929, 9677, 2094, 1010, 2424, 2037, 2126, 2046, 2060, 4082, 3001, 1012, 2005, 2742, 1010, 2330, 4502, 2213, 2038, 2042, 4233, 2011, 5658, 5910, 2094, 1012, 9308, 1010, 1996, 9480, 5910, 2094, 6097, 7705, 2038, 2042, 4233, 2011, 6207, 2005, 9808, 1060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07908344220534776, 0.00014264200016340017, 0.04194500537883008, 0.035242945301922256, 0.07880869220379258, 0.0001764793752730666, 0.0024644958829961195, 0.005844150261198398, 0.0005517574961165727, 0.0032548868718447637, 0.008666218823293723, 0.0016299045335254597, 0.015060224764803669, 0.028853591330326524, 0.027912372327831225, 0.20532027111704995, 0.05461797483423474, 0.025337197369003087, 0.003163296998876441, 0.0011303466461503216, 0.05768884070992295, 0.00406412961960232, 0.013755830260681766, 0.0004772377257862143, 0.00002347212011367732, 0.03425268325352852, 9.07013847380509e-9, 0.012325137486078552, 0.00007598758481685651, 0.0000017185505992307491, 0.0012098147496080024, 9.07013847380509e-9, 0.020353752909254032, 0.0008934750341282516, 0.02218488082702398, 0.000379580895479733, 0.00029016537796314917, 0.0037245664304837176, 0.10881052688734835, 0.050692000328411584, 0.0003435127260694776, 0.0012314283526819927, 0.005638728922728714, 0.00001043294094051198, 9.07013847380509e-9, 0.004365798803108322, 0.0002508784976510187, 0.018928854649322636, 0.007074561320362509, 0.011746080103308347 ]
[ 1012, 102, 101, 2489, 5910, 2094, 3719, 2007, 2093, 2367, 2543, 9628, 14555, 1024, 12997, 2546, 2860, 1010, 1052, 2546, 1998, 12997, 8873, 21928, 1012, 12997, 2546, 2860, 2003, 2489, 5910, 2094, 1005, 1055, 3128, 2543, 9628, 1012, 1052, 2546, 2001, 2579, 2013, 2330, 5910, 2094, 1998, 12997, 8873, 21928, 2001, 27650, 2000, 2489, 5910, 2094, 2011, 12270, 7305, 1012, 102, 101, 2579, 2013, 2330, 5910, 2094, 1010, 1996, 7480, 4095, 2565, 2001, 2443, 1999, 12398, 16500, 1012, 7480, 4095, 2003, 1037, 2489, 7375, 1997, 1996, 7020, 2232, 8778, 1998, 2003, 1037, 6110, 2005, 10093, 7159, 1012, 4406, 10093, 7159, 1010, 7480, 4095, 4372, 26775, 22571, 3215, 2035, 2592, 1006, 2164, 5310, 18442, 1998, 20786, 1007, 1012, 102, 101, 1999, 2281, 2262, 1010, 1996, 2489, 5910, 2094, 3036, 2136, 2623, 2008, 23307, 2015, 4227, 24641, 3229, 2006, 2048, 1997, 1996, 2622, 1005, 1055, 14903, 1012, 2122, 14903, 2020, 2357, 2125, 3202, 1012, 2062, 2470, 7645, 2008, 1996, 2034, 24641, 3229, 2011, 23307, 2015, 4158, 2006, 2539, 2244, 1012, 4593, 23307, 2015, 4227, 3229, 2000, 2122, 14903, 2011, 11065, 7020, 2232, 6309, 2013, 2028, 1997, 1996, 9797, 1010, 2025, 2011, 18077, 2075, 1037, 11829, 1999, 1996, 4082, 2291, 2993, 1012, 2122, 2048, 28719, 14903, 2020, 2112, 1997, 1996, 6502, 2109, 2000, 3857, 2353, 1030, 1011, 1030, 2283, 4007, 14555, 1012, 1996, 2489, 5910, 2094, 3036, 2136, 7039, 1996, 11109, 1997, 1996, 12441, 14555, 1998, 2623, 2008, 2053, 24641, 2689, 2001, 2081, 2000, 1996, 12441, 14555, 1010, 2021, 2027, 3090, 2008, 2027, 2064, 1005, 1056, 11302, 1996, 11109, 1997, 14555, 2008, 2020, 22817, 2090, 2539, 2244, 1998, 2340, 2281, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3417, 8010, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 2038, 2042, 27650, 2000, 1037, 3528, 1997, 13151, 4294, 2015, 1012, 1996, 2489, 5910, 2094, 2622, 22013, 4294, 2015, 2046, 7563, 2015, 2008, 2839, 4697, 1996, 2504, 1997, 2490, 3024, 1012, 7563, 1015, 4294, 2015, 2024, 9677, 1998, 3929, 3569, 1012, 7563, 1016, 4294, 2015, 2024, 14996, 2350, 2458, 1012, 7563, 1017, 4294, 2015, 2024, 6388, 2030, 2024, 2053, 2936, 2104, 3161, 2458, 1998, 7563, 1018, 4294, 2015, 2031, 2053, 2490, 2012, 2035, 1012, 102, 101, 2004, 1997, 2233, 2355, 1010, 2489, 5910, 2094, 2038, 2042, 27650, 2000, 1996, 2206, 4294, 2015, 1024, 102, 101, 1996, 2849, 1998, 2771, 4523, 2490, 2003, 3262, 6461, 2012, 11157, 3001, 1010, 2174, 2489, 5910, 2094, 1013, 2849, 3216, 2006, 1037, 2193, 1997, 2309, 1030, 1011, 1030, 2604, 7588, 1010, 2164, 1996, 26892, 9354, 14417, 2304, 1010, 20710, 2361, 9766, 14255, 1998, 23967, 6277, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2353, 1030, 1011, 1030, 2283, 4007, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 2038, 1037, 22409, 1997, 2058, 2484, 1030, 1010, 1030, 2199, 5097, 2008, 2024, 2764, 2011, 2353, 4243, 1012, 4973, 2421, 1024, 3332, 2075, 3001, 1010, 4773, 16602, 2015, 1010, 10373, 7846, 1010, 2436, 19796, 1998, 2061, 5743, 1012, 1999, 2236, 1010, 1996, 2622, 2993, 2515, 2025, 4503, 2023, 4007, 1010, 2069, 1996, 7705, 2000, 3499, 2122, 3454, 2000, 2022, 5361, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0003660697190000715, 0.04351219246566114, 0.0039118851685489234, 0.03530272747505918, 0.14901610813699392, 0.009150040479147005, 0.00001382593742033473, 5.51297708211469e-7, 0.015253325879047245, 0.0000031212751206245937, 0.00504819947599686, 0.003929171387615558, 9.154713529564728e-7, 0.0000028682048353452424, 0.00039663962053522846, 0.0013907725835230228, 0.002007545420159851, 0.0007274013197954807, 0.025300811707047854, 0.08560939778945253, 0.005270114429791024, 0.0000019409404171676726, 9.245267232139047e-9, 0.04186960620803755, 0.000016388320738099186, 0.016866916596450277, 0.00016008147953257046, 0.08742332607485777, 0.000006181178261906259, 0.000006345856372840947, 0.0004682969503514937, 0.0027952192335563525, 0.0034940638397804717, 7.490684964956307e-7, 0.03743298456875922, 0.05669086038721684, 0.0005339468999933898, 0.00005362055605117307, 0.007165694246288283, 0.0637962347799401, 0.03900005902375267, 9.245267232139047e-9, 0.05940757454595647, 0.005694266794234562, 0.00013455427095489657, 0.02241581259135151, 0.14172215525246987, 0.025409526894830562, 0.000003941986261321901, 0.0012159477207392803 ]
[ 2029, 2003, 2124, 2004, 1996, 8831, 3074, 1012, 5097, 2089, 2593, 2022, 9227, 2013, 3120, 1006, 1000, 8831, 1000, 1007, 1010, 3024, 2037, 13202, 3408, 3499, 2023, 1010, 2030, 22817, 2004, 3653, 1030, 1011, 1030, 9227, 8026, 12086, 1006, 1000, 14555, 1000, 1007, 1012, 1996, 8831, 3074, 6753, 1996, 2783, 1998, 6540, 5628, 1997, 2489, 5910, 2094, 1012, 3080, 7085, 2024, 2025, 3569, 1998, 2089, 2030, 2089, 2025, 2147, 11178, 2007, 2019, 2039, 1030, 1011, 1030, 2000, 1030, 1011, 1030, 3058, 8831, 3074, 1012, 102, 101, 8831, 2224, 2191, 8873, 2571, 2000, 8073, 18584, 1996, 9059, 4646, 1005, 1055, 3120, 3642, 1010, 2593, 2013, 1037, 2334, 2030, 6556, 22409, 1010, 4895, 23947, 2009, 2006, 1996, 2291, 1010, 6611, 13864, 2000, 2009, 1998, 4012, 22090, 2009, 1012, 5834, 2006, 1996, 2946, 1997, 1996, 3120, 3642, 1010, 21953, 2064, 2202, 1037, 2146, 2051, 1010, 2021, 2009, 3957, 1996, 5310, 2062, 2491, 2058, 1996, 2832, 1998, 2049, 2765, 1012, 2087, 8831, 2036, 2031, 7427, 14562, 1006, 1045, 1012, 1041, 1012, 3653, 1030, 1011, 1030, 9227, 8026, 12086, 1007, 1010, 3228, 1996, 5310, 1037, 3601, 1012, 2348, 2023, 4118, 2003, 5514, 1010, 1996, 5310, 2038, 8491, 7661, 6648, 7047, 1012, 102, 101, 2489, 5910, 2094, 2544, 2184, 1030, 1012, 1030, 1014, 3107, 1996, 7427, 3208, 1052, 2243, 2290, 2004, 1037, 6110, 2005, 1996, 3130, 2109, 7427, 5906, 1012, 2009, 2003, 8360, 2135, 2714, 2000, 26794, 1998, 9805, 2213, 1999, 11603, 20611, 1012, 2009, 4473, 2005, 8272, 1010, 25925, 1998, 8208, 1997, 2119, 8831, 1998, 14555, 1012, 1999, 2804, 2000, 1052, 2243, 2290, 1010, 7427, 23615, 2064, 2036, 2022, 2109, 2000, 3229, 1996, 8831, 3074, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 7173, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 2034, 3107, 1999, 2489, 5910, 2094, 2544, 1018, 1010, 7173, 2015, 2003, 1037, 3036, 7337, 1998, 2019, 7375, 1997, 4082, 1030, 1011, 1030, 2291, 1030, 1011, 1030, 2504, 7484, 3989, 2008, 12939, 1996, 5310, 2000, 2448, 3674, 12107, 1997, 1037, 4113, 4082, 2291, 2006, 2327, 1997, 1037, 2489, 5910, 2094, 3677, 1012, 2009, 2003, 2019, 9412, 2544, 1997, 1996, 3151, 10381, 3217, 4140, 7337, 1012, 1037, 2832, 2008, 3216, 2306, 2107, 1037, 7173, 2003, 4039, 2000, 3229, 1996, 4219, 2648, 1997, 2009, 1012, 2296, 7173, 2038, 2049, 2219, 3677, 18442, 1998, 12997, 4769, 1012, 2009, 2003, 2825, 2000, 2448, 3674, 7173, 2015, 2012, 1996, 2168, 2051, 1010, 2021, 1996, 16293, 2003, 4207, 2426, 2035, 1997, 2068, 1012, 6516, 2069, 4007, 3569, 2011, 1996, 2489, 5910, 2094, 16293, 2064, 2022, 2448, 2306, 1037, 7173, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 7484, 3989, 1027, 1027, 1027, 102, 101, 102, 101, 1038, 10536, 3726, 1010, 1037, 2047, 7484, 3989, 5576, 2001, 3107, 1999, 2489, 5910, 2094, 2184, 1030, 1012, 1030, 1014, 1030, 1012, 1030, 1038, 10536, 3726, 4473, 1037, 5310, 2000, 2448, 1037, 2193, 1997, 4113, 4082, 3001, 1006, 2489, 5910, 2094, 1010, 2330, 5910, 2094, 1010, 11603, 1010, 1998, 7513, 3645, 1007, 7453, 1012, 2060, 4082, 3001, 2107, 2004, 5665, 2819, 2891, 2024, 3740, 1012, 1038, 10536, 3726, 2001, 2517, 2011, 7663, 2140, 10079, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0039864997494035255, 0.003483870434811122, 0.04407569188768132, 0.02906815822519941, 0.012144256659997493, 0.003089786343706264, 0.000004448781199554288, 0.001546064886542383, 0.05511705309723408, 0.019328622081060398, 0.06102045503699343, 0.012707811468275277, 0.010854140165670366, 0.00008730008976971986, 0.015165778992466022, 0.020085349675426207, 0.0019429504387086134, 0.006406989251769104, 0.0006879255598476904, 0.00352503344021555, 3.09992260706166e-7, 0.007947710954758254, 0.04904321220991893, 0.000030085095243153707, 0.0004462405900635004, 0.000049823189567195966, 0.008372894184196443, 0.00416501342948219, 0.002126112313257842, 0.00022055419855098458, 0.005821952134912916, 0.03202496850118175, 0.00024360424471250112, 0.007350611852518543, 0.013057697305590898, 0.0056848555788384745, 0.08917241755918248, 0.005464272744247906, 0.1803970313560575, 0.02509080463882937, 0.10105647687937945, 0.029056211669970584, 0.011003728845592154, 0.01739530170338722, 0.011417884814491621, 0.04999706799060285, 0.026788879555528035, 0.00008313013717431176, 0.009739203452827487, 0.0024237566116972393 ]
[ 2848, 24665, 24660, 1998, 2001, 2623, 1999, 1996, 2249, 18667, 16409, 2319, 3034, 2005, 1996, 2034, 2051, 1012, 1996, 2364, 4489, 2090, 1038, 10536, 3726, 1998, 2489, 5910, 2094, 7173, 2015, 2003, 2008, 7173, 2015, 2024, 2019, 4082, 2291, 1030, 1011, 1030, 2504, 7484, 3989, 1998, 3568, 3132, 2000, 2069, 2489, 5910, 2094, 6368, 1025, 2021, 1038, 10536, 3726, 2003, 1037, 2828, 1016, 23760, 11365, 2953, 1998, 2003, 2025, 3132, 2000, 2069, 2489, 5910, 2094, 6368, 1012, 2005, 7831, 1010, 1038, 10536, 3726, 2003, 1037, 2714, 2974, 2000, 24888, 2213, 6168, 7173, 2015, 2024, 3553, 2000, 1048, 2595, 2278, 16143, 2030, 5943, 2483, 10019, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 9808, 21778, 9014, 1027, 1027, 1027, 102, 101, 102, 101, 2087, 4007, 2008, 3216, 2006, 11603, 2064, 2448, 2006, 2489, 5910, 2094, 2478, 2019, 11887, 2328, 1030, 1011, 1030, 1999, 21778, 6741, 1012, 6516, 1010, 2087, 11603, 8026, 12086, 2064, 2022, 2448, 2006, 2489, 5910, 2094, 1010, 2164, 2070, 16350, 5097, 5500, 2069, 1999, 12441, 2433, 1012, 2023, 21778, 6741, 2003, 2025, 2019, 7861, 9513, 1025, 11603, 1005, 1055, 2291, 2655, 8278, 2003, 7528, 1999, 1996, 2489, 5910, 2094, 1005, 1055, 16293, 1998, 6516, 1010, 11603, 4654, 8586, 23056, 4871, 1998, 4207, 8860, 2024, 5845, 1996, 2168, 2004, 2489, 5910, 2094, 1005, 1055, 3128, 4654, 8586, 23056, 4871, 1998, 4207, 8860, 1012, 5678, 1010, 2489, 5910, 2094, 3640, 21778, 9014, 2005, 2195, 2060, 19998, 1030, 1011, 1030, 2066, 4082, 3001, 1010, 1999, 2804, 2000, 11603, 1010, 2107, 2004, 18667, 2094, 1013, 9808, 1998, 17917, 2099, 2549, 1010, 2174, 1010, 2009, 2003, 2062, 2691, 2005, 5198, 2000, 4012, 22090, 2216, 3454, 3495, 2006, 2489, 5910, 2094, 1012, 102, 101, 2053, 17725, 2836, 6531, 2058, 3128, 2489, 5910, 2094, 3454, 2038, 2042, 3264, 2043, 2770, 11603, 8026, 12086, 1010, 1998, 1010, 1999, 2070, 3572, 1010, 2122, 2089, 2130, 4685, 2062, 15299, 2084, 2006, 11603, 1012, 2174, 1010, 1996, 6741, 2003, 2025, 10462, 25180, 3238, 1010, 1998, 2070, 11603, 8026, 12086, 2024, 4895, 10383, 3468, 2030, 2069, 6822, 24013, 2006, 2489, 5910, 2094, 1012, 2045, 2003, 2490, 2005, 2291, 4455, 2039, 2000, 2544, 1016, 1030, 1012, 1030, 1020, 1030, 1012, 1030, 2324, 1010, 2800, 2144, 2489, 5910, 2094, 1021, 1030, 1012, 1030, 1014, 1012, 2004, 1997, 2713, 2184, 1030, 1012, 1030, 1017, 1010, 2489, 5910, 2094, 2064, 2448, 4185, 1030, 1011, 1030, 2978, 11603, 8026, 12086, 1012, 102, 101, 2489, 5910, 2094, 2038, 7528, 1037, 2193, 1997, 7513, 3645, 3128, 1050, 10521, 16293, 19706, 2000, 3499, 2489, 5910, 2094, 2000, 2448, 3645, 1030, 1011, 1030, 2069, 2897, 6853, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 16293, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 1005, 1055, 16293, 3640, 2490, 2005, 2070, 6827, 8518, 2107, 2004, 6605, 6194, 1010, 4807, 1010, 9573, 2075, 1998, 6764, 27268, 6633, 2015, 1012, 2489, 5910, 2094, 2038, 1037, 18847, 28508, 16293, 1010, 2007, 19160, 2640, 1012, 2367, 3033, 1997, 1996, 16293, 2107, 2004, 6853, 1010, 2024, 2881, 2004, 14184, 1012, 1996, 5310, 2064, 7170, 1998, 4895, 11066, 2122, 14184, 2012, 2151, 2051, 1012, 17359, 2063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.03611514008682858, 0.004998769209571973, 0.06104969375919577, 0.00024455451714786735, 0.0003838293020158933, 0.0036567236165396286, 0.030020148732736847, 0.0020564198962515225, 0.000025187122778450023, 0.0012677678732283882, 0.00559420058464679, 0.0000020373263452065855, 0.1047171908731426, 0.005099919937390492, 0.01669841090600745, 0.0002913781191509503, 0.000023252454343165657, 0.02268267438317757, 0.00040797711798695426, 0.0000863729429091668, 0.000028463648594297294, 0.05930220395296729, 0.0023401695745774724, 0.012198941832660359, 0.03084943576717748, 0.042953237657294564, 0.0052181179406356965, 0.027901051904715438, 0.004019667661862392, 0.04442001733260654, 0.0006180199310084998, 0.0015142675987826733, 0.004089552200430749, 0.000016915980044137946, 0.01281161899002167, 0.017429298151848276, 0.07489631754369369, 0.03199218079073238, 0.04898491491423242, 0.02260337354118478, 0.0016170442244705723, 0.0000015415875325676638, 0.06503482283725161, 9.060252491117431e-9, 0.00006373984488735991, 0.021389004012245513, 0.002261642827230282, 0.00861403993399294, 0.003631821633692588, 0.157776918361978 ]
[ 2003, 1996, 12398, 6134, 2099, 1999, 2489, 5910, 2094, 2144, 2544, 1021, 1030, 1012, 1030, 1015, 1010, 2009, 6753, 15488, 2361, 1998, 15488, 2102, 1012, 1996, 2489, 5910, 2094, 16293, 2038, 2036, 1037, 26743, 3468, 2724, 26828, 8278, 1010, 2315, 1047, 4226, 5657, 1012, 2009, 2038, 2042, 27650, 2000, 2060, 18667, 2094, 1030, 1011, 1030, 16942, 2107, 2004, 2330, 5910, 2094, 1010, 5658, 5910, 2094, 1012, 16293, 11689, 2075, 2001, 3107, 1999, 2489, 5910, 2094, 1019, 1030, 1012, 1030, 1014, 1010, 2478, 2019, 1049, 1024, 1050, 11689, 2075, 2944, 1012, 2023, 2944, 2573, 2092, 1999, 3399, 1010, 2021, 2009, 2003, 2524, 2000, 10408, 1998, 2261, 4082, 3001, 2490, 2009, 1012, 2348, 2489, 5910, 2094, 1005, 1055, 7375, 1997, 2023, 2944, 2499, 1010, 2009, 2106, 2025, 4685, 2092, 1010, 2061, 2013, 2544, 1021, 1030, 1012, 1030, 1014, 15834, 1010, 2489, 5910, 2094, 2318, 2478, 1037, 1015, 1024, 1015, 11689, 2075, 2944, 1010, 2170, 5622, 19279, 8093, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 12653, 1998, 2490, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 1005, 1055, 12653, 3774, 1997, 2049, 14812, 2015, 1010, 6410, 5530, 1010, 5653, 2075, 2862, 8264, 1010, 6904, 4160, 2015, 1998, 1037, 3528, 1997, 4790, 1010, 3701, 5224, 2011, 1996, 2489, 5910, 2094, 12653, 2622, 1012, 2489, 5910, 2094, 1005, 1055, 12653, 2003, 5421, 2046, 2195, 4155, 1012, 2035, 2880, 12653, 2003, 2207, 2104, 1996, 2489, 5910, 2094, 12653, 6105, 1010, 1000, 1037, 2566, 27876, 2512, 1030, 1011, 1030, 6100, 2571, 6199, 2489, 12653, 6105, 2008, 2003, 11892, 2007, 1996, 27004, 1042, 19422, 1000, 1012, 2489, 5910, 2094, 1005, 1055, 12653, 2003, 2649, 2004, 1000, 2152, 1030, 1011, 1030, 3737, 1000, 1012, 102, 101, 1996, 2489, 5910, 2094, 2622, 9319, 1037, 3528, 1997, 5653, 2075, 7201, 1012, 2426, 1996, 2087, 2759, 5653, 2075, 7201, 2024, 2489, 5910, 2094, 1030, 1011, 1030, 3980, 1006, 2236, 3980, 1007, 1998, 2489, 5910, 2094, 1030, 1011, 1030, 23307, 2015, 1006, 1037, 2173, 2005, 4851, 2062, 4087, 3980, 1007, 1012, 102, 101, 2144, 2432, 1010, 1996, 2047, 2259, 2103, 18667, 2094, 5198, 2177, 7809, 3640, 1040, 7834, 2290, 2592, 2013, 1037, 3074, 1997, 7588, 1006, 12191, 2015, 1010, 2573, 12516, 2015, 1010, 2309, 1030, 1011, 1030, 2604, 7588, 1010, 11157, 3001, 1010, 7484, 6681, 1010, 4385, 1012, 1007, 2770, 2489, 5910, 2094, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 16500, 2545, 1027, 1027, 1027, 102, 101, 102, 101, 2013, 2544, 1016, 1030, 1012, 1030, 1014, 2000, 1023, 1030, 1012, 1030, 1014, 1010, 2489, 5910, 2094, 2109, 1996, 25353, 11493, 9153, 3363, 2565, 2004, 2049, 2364, 16500, 2121, 1012, 2009, 2001, 2517, 1999, 1039, 2011, 5207, 16580, 1012, 2009, 3594, 1037, 3793, 5310, 8278, 1010, 1998, 2003, 4055, 2046, 1037, 2193, 1997, 12183, 2015, 1998, 12117, 2008, 2064, 2022, 2109, 2000, 9530, 8873, 27390, 2063, 1998, 2491, 1996, 8272, 2832, 1012, 2009, 2064, 2036, 2022, 2109, 2000, 16500, 8831, 1998, 14555, 2004, 2019, 4522, 2000, 1996, 3094, 1030, 1011, 1030, 2240, 8278, 1012, 102, 101, 1996, 25353, 11493, 9153, 3363, 9710, 2003, 2085, 2641, 2139, 28139, 12921, 1999, 5684, 1997, 18667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0007650667442043752, 0.02934355321578285, 0.0000048020501531294724, 0.0012236605327245588, 0.024906485940939565, 0.0729268287456736, 0.020929786689293798, 0.000001033279717669016, 0.08749297000301902, 0.03807014950406624, 0.006914449964711658, 1.0248763102404209e-8, 0.01052547417478246, 0.01328148298671954, 0.08658300360934792, 0.0034736017773969647, 0.00034014119708521335, 0.13663585150114854, 0.005256582077641335, 0.000009364485385864127, 1.0248763102404209e-8, 0.06068086415841748, 0.0025824676509431047, 0.00405556939306089, 1.0248763102404209e-8, 0.012514097178470575, 0.0000690445441839546, 0.0005708724462789091, 0.00009576927551335274, 0.0016926532003258565, 0.08920566939753691, 0.000021258230243838117, 0.000013533766140201054, 0.0003621949165785374, 0.004429582731716628, 0.0026668318793700864, 0.003064120608745569, 0.0014505505539079576, 0.06556172872164065, 0.000004844889644994651, 0.000016584588767921186, 0.02052531362807916, 0.0008885284977557116, 0.000021659169269941244, 0.12712142833028744, 0.06312263621982168, 0.000002079997306171957, 1.0248763102404209e-8, 0.000015644280456974154, 0.0005601422706887741 ]
[ 8718, 9153, 3363, 1010, 1037, 2047, 16500, 2121, 2029, 2001, 3107, 1999, 2489, 5910, 2094, 1023, 1030, 1012, 1030, 1014, 1030, 1012, 1030, 18667, 8718, 9153, 3363, 2003, 1000, 1037, 12038, 6110, 2005, 25353, 11493, 9153, 3363, 1000, 2008, 2001, 2517, 1999, 14021, 1012, 2429, 2000, 9808, 2638, 9333, 1010, 1000, 2009, 2038, 2439, 2070, 2838, 2096, 8550, 2500, 1010, 2021, 2009, 2003, 1037, 2172, 2062, 12379, 2640, 1010, 1998, 2097, 4821, 2022, 3278, 7620, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 2458, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 2003, 2764, 2011, 1037, 6951, 2136, 2284, 2105, 1996, 2088, 1012, 1996, 9797, 2224, 1996, 4274, 2005, 2035, 4807, 1998, 2116, 2031, 2025, 2777, 2169, 2060, 1999, 2711, 1012, 1999, 2804, 2000, 2334, 5310, 2967, 6485, 1998, 3230, 2011, 5198, 1010, 2019, 3296, 3034, 1010, 2170, 18667, 16409, 2239, 1010, 2003, 2218, 2011, 2224, 3490, 2595, 1012, 18667, 16409, 2239, 2003, 2025, 2489, 5910, 2094, 1030, 1011, 1030, 3563, 2061, 2009, 9144, 2007, 1996, 4087, 5919, 1997, 2035, 18667, 2094, 4082, 3001, 1010, 2164, 2330, 5910, 2094, 1998, 5658, 5910, 2094, 1012, 1999, 2804, 2000, 18667, 16409, 2239, 1010, 2093, 2060, 3296, 9281, 1010, 9944, 5910, 16409, 2239, 1010, 4021, 5910, 16409, 2239, 1998, 18667, 16409, 2319, 2202, 2173, 1999, 2885, 1010, 2900, 1998, 2710, 4414, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10615, 3252, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2489, 5910, 2094, 2622, 2003, 2448, 2011, 2105, 3156, 10797, 7747, 1010, 2030, 9797, 2040, 2031, 10797, 3229, 2000, 1996, 3040, 3120, 3642, 16360, 20049, 29469, 2229, 1998, 2064, 4503, 1010, 2139, 8569, 2290, 2030, 11598, 2151, 2112, 1997, 1996, 2291, 1012, 2087, 1997, 1996, 9797, 2024, 7314, 1998, 2261, 9797, 2024, 3825, 2011, 2070, 3316, 1012, 2045, 2024, 2195, 7957, 1997, 10797, 7747, 1010, 2164, 3120, 10797, 7747, 1006, 2918, 4082, 2291, 1007, 1010, 9986, 10797, 7747, 1006, 12653, 1998, 4773, 2609, 6048, 1007, 1998, 8831, 1006, 2353, 2283, 4646, 3417, 2075, 1998, 6502, 1007, 1012, 2296, 2048, 2086, 1996, 2489, 5910, 2094, 10797, 7747, 7276, 1037, 1023, 1030, 1011, 1030, 2266, 2489, 5910, 2094, 4563, 2136, 2040, 2024, 3625, 2005, 3452, 2622, 3257, 1010, 4292, 1998, 27455, 2622, 3513, 1998, 10439, 22046, 2047, 10797, 2545, 1010, 2030, 1996, 15080, 1997, 17917, 2078, 10797, 3229, 1012, 1037, 2193, 1997, 10198, 2024, 3985, 4137, 2000, 2060, 2458, 2780, 2011, 1996, 2489, 5910, 2094, 4563, 2136, 1010, 2005, 2742, 1010, 5368, 2005, 6605, 1996, 8831, 3074, 2003, 11849, 2094, 2000, 1996, 8831, 2968, 2136, 1012, 102, 101, 1999, 2804, 2000, 9797, 1010, 2489, 5910, 2094, 2038, 5190, 1997, 1000, 16884, 1000, 1012, 16884, 2024, 2036, 7314, 2648, 1997, 1996, 2489, 5910, 2094, 2622, 2040, 12040, 13864, 2005, 9584, 2011, 10797, 7747, 1010, 2004, 2027, 2123, 1005, 1056, 2031, 3622, 3229, 2000, 2489, 5910, 2094, 1005, 1055, 3120, 3642, 22409, 1012, 10797, 7747, 2059, 16157, 16884, 27842, 1998, 5630, 2054, 2000, 5138, 1998, 2054, 2000, 15454, 1012, 1037, 12130, 2040, 12040, 2015, 2152, 1030, 1011, 1030, 3737, 13864, 2003, 2411, 2356, 2000, 2468, 1037, 10797, 3334, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.029570688236139626, 0.0121901791948456, 0.026769329795513254, 0.0621372708969557, 0.0003160767285622438, 0.0002644361110636664, 0.009205619895071458, 0.032112562505530545, 0.00009706609787758282, 2.2237445802256085e-8, 0.000039356368412542295, 0.00022460300250482125, 0.05911859462890508, 0.016521679850616023, 0.05266346131227468, 0.00011536002612173937, 0.0019054595384814849, 0.00011592039387978663, 0.09879376092415333, 0.00011778278515488786, 0.005832044744690502, 0.0015105595302043545, 0.020408062902415106, 0.040529437410424134, 0.025857503502360237, 0.000861988965200377, 0.08988658735270236, 0.00023459789974897041, 0.000016157560996486903, 0.007881285186523687, 0.000008280711750679506, 0.17082942663229278, 9.579704820556425e-9, 0.011265418208125887, 0.00017791729913800648, 0.027154252886372687, 0.0035302188480466055, 0.0008271018580601899, 0.024248748882582574, 0.025580935004513736, 0.024365891991121175, 0.08764810354682712, 0.011098802864264153, 0.0009977323174397159, 0.008085865231657653, 1.719733802679177e-8, 0.000009208582451187117, 0.008775915749050227, 0.0000973458152530737, 0.0000013512092334478263 ]
[ 102, 101, 102, 101, 1027, 1027, 1027, 5628, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 9797, 5441, 2012, 2560, 2048, 5628, 1997, 17424, 2458, 1012, 1996, 1011, 2783, 3589, 2467, 5836, 1996, 1000, 9524, 3341, 1000, 1997, 2489, 5910, 2094, 2458, 1012, 1037, 1011, 6540, 3589, 1997, 2489, 5910, 2094, 2003, 2580, 2005, 2169, 2350, 2544, 2193, 1010, 2013, 2029, 1011, 2713, 2024, 3013, 2055, 2320, 2296, 1018, 1516, 1020, 2706, 1012, 2065, 1037, 3444, 2003, 12949, 6540, 1998, 9677, 2009, 2097, 3497, 2022, 2067, 6442, 2098, 1006, 1049, 11329, 2030, 13590, 2013, 2783, 1999, 2489, 5910, 2094, 9722, 21435, 1007, 2000, 1996, 1011, 6540, 3589, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3192, 1027, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 2458, 2003, 3569, 1999, 2112, 2011, 1996, 2489, 5910, 2094, 3192, 1012, 1996, 3192, 2003, 1037, 2512, 1030, 1011, 1030, 5618, 3029, 2008, 13385, 11440, 2000, 4636, 2489, 5910, 2094, 2458, 1012, 2107, 4804, 2038, 2042, 2109, 2000, 10460, 9797, 2005, 3563, 3450, 1010, 5309, 8051, 1998, 2897, 6502, 1010, 3073, 3604, 8624, 2000, 9722, 6465, 2015, 1010, 1998, 3073, 3423, 2490, 2000, 1996, 2489, 5910, 2094, 2622, 1012, 102, 101, 1999, 2281, 2297, 1010, 1996, 2489, 5910, 2094, 3192, 2363, 1015, 2454, 13751, 13445, 2013, 5553, 12849, 2819, 1010, 2522, 1030, 1011, 1030, 3910, 1998, 5766, 1997, 2054, 3736, 9397, 1010, 1011, 1996, 2922, 2309, 13445, 2000, 1996, 3192, 2144, 2049, 12149, 1012, 5553, 12849, 2819, 2370, 2003, 1037, 2489, 5910, 2094, 5310, 2144, 1996, 2397, 4134, 1998, 2054, 3736, 9397, 3594, 2489, 5910, 2094, 2006, 2049, 14903, 1012, 102, 101, 102, 101, 1027, 1027, 6105, 1027, 1027, 102, 101, 102, 101, 2489, 5910, 2094, 2003, 2207, 2104, 1037, 3528, 1997, 2330, 3120, 15943, 1012, 1996, 16293, 3642, 1998, 2087, 4397, 2580, 3642, 2003, 2207, 2104, 1996, 2048, 1030, 1011, 1030, 11075, 18667, 2094, 6105, 2029, 4473, 3071, 2000, 2224, 1998, 2417, 2923, 3089, 8569, 2618, 2489, 5910, 2094, 2004, 2027, 4299, 1012, 2023, 6105, 2001, 4844, 2011, 2489, 4007, 3192, 1998, 2330, 3120, 6349, 2004, 1037, 2489, 4007, 1998, 2330, 3120, 6105, 4414, 1012, 2489, 4007, 3192, 2649, 2023, 6105, 2004, 1000, 1037, 27327, 1010, 2566, 27876, 2512, 1030, 1011, 1030, 6100, 2571, 6199, 2489, 4007, 6105, 1010, 11892, 2007, 1996, 27004, 14246, 2140, 1000, 1012, 2045, 2024, 3033, 2207, 2104, 2093, 1011, 1998, 2176, 1030, 1011, 1030, 11075, 18667, 2094, 15943, 1010, 2004, 2092, 2004, 5404, 8059, 6105, 1012, 2070, 5080, 6853, 2421, 1037, 12441, 1038, 4135, 2497, 1010, 2107, 2004, 1996, 2012, 5886, 2891, 11085, 1997, 2489, 5910, 2094, 4617, 2077, 1021, 1030, 1012, 1030, 1016, 1012, 2070, 1997, 1996, 3642, 5201, 2011, 2060, 3934, 2003, 7000, 2104, 14246, 2140, 1010, 1048, 21600, 2140, 1010, 3729, 19422, 1998, 2003, 2278, 1012, 2035, 1996, 3642, 7000, 2104, 14246, 2140, 1998, 3729, 19422, 2003, 4415, 5459, 2013, 1996, 3642, 2104, 4314, 15943, 1010, 2000, 2191, 2009, 3733, 2005, 5198, 2107, 2004, 11157, 5080, 8712, 2000, 2224, 2069, 2566, 27876, 2489, 4007, 15943, 1012, 6338, 18259, 16150, 8704, 2000, 5672, 2070, 14246, 2140 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.03894084350731138, 0.0528526557613533, 0.019167430568246407, 0.12095518516900679, 0.00006769184232028786, 0.04884537277603563, 0.0033755908770534216, 0.00016307058232255966, 0.0000032250442013289844, 0.0020642540253465, 0.06376681957451205, 0.011088554341323041, 0.00011062174269324203, 0.010603483763119141, 0.00003497859472196549, 0.015675953914818467, 0.003931952877869918, 0.0032356824804385485, 0.00038742262434978016, 0.028866759934166788, 0.000301383864900485, 0.005219871370475909, 0.000020574609919141186, 0.0001045834187054499, 0.003368380476248792, 0.004240700764787421, 0.00003558527025164511, 0.002435419135042673, 0.034139773558437184, 0.029390053621750973, 0.00002971921834367819, 0.2225392290627587, 0.0009786399880672768, 0.0018382340527211423, 0.00012470485305981626, 0.00987224896824508, 0.007632284616977486, 0.000751136510132193, 0.0002504465253923698, 0.04707252692053431, 0.05372918731459839, 0.03653788091584857, 0.006944363792284347, 0.006389156803196864, 0.05032184242793551, 0.00006736362814520408, 0.000003355436243548208, 0.002473736597437324, 0.04861613745749895, 0.00043392881884917893 ]
[ 12530, 15266, 1999, 1996, 2489, 5910, 2094, 2918, 2291, 2011, 6419, 1996, 27004, 21624, 3074, 2007, 1996, 18667, 2094, 1030, 1011, 1030, 7000, 2222, 2615, 2213, 1013, 6338, 2290, 21624, 1012, 6338, 18259, 16150, 2150, 2969, 1030, 1011, 1030, 9936, 2006, 2385, 2258, 2230, 1012, 102, 101, 102, 101, 1027, 1027, 8154, 1027, 1027, 102, 101, 102, 101, 2005, 2116, 2086, 2489, 5910, 2094, 1005, 1055, 8154, 2001, 1996, 12391, 18667, 2094, 12828, 1010, 2036, 2170, 6841, 2666, 1010, 1037, 19112, 15498, 1997, 18667, 2094, 1012, 2034, 6037, 1999, 3299, 2006, 19998, 1056, 1030, 1011, 1030, 11344, 4156, 2011, 4330, 13625, 1010, 1996, 2062, 2759, 4617, 1997, 1996, 18667, 2094, 12828, 2020, 4567, 2011, 7284, 2472, 2198, 27333, 15141, 2927, 1999, 3118, 1012, 2195, 2489, 5910, 2094, 1030, 1011, 1030, 3563, 4617, 2020, 2101, 4567, 2011, 11937, 10422, 4328, 7570, 6499, 13069, 1012, 102, 101, 2174, 1010, 6841, 2666, 2001, 2025, 4310, 2000, 2489, 5910, 2094, 1012, 1999, 5507, 25852, 20721, 3408, 1010, 1996, 27333, 15141, 8425, 2003, 2025, 2240, 2396, 1998, 2411, 5942, 1037, 12238, 1010, 2176, 3609, 6302, 16396, 8021, 2832, 2005, 11633, 14627, 2006, 3558, 9972, 2107, 2004, 3259, 1012, 2036, 1010, 1996, 18667, 2094, 12828, 2001, 2245, 2000, 2022, 2205, 20477, 2135, 6851, 2005, 5744, 2946, 25169, 1998, 12465, 3973, 2058, 1030, 1011, 1030, 7790, 2006, 3674, 3609, 24665, 8447, 9285, 1010, 2437, 2009, 2524, 2000, 2128, 6632, 6321, 21376, 2004, 1037, 3722, 1010, 16367, 8154, 1999, 2069, 2048, 2030, 2093, 6087, 1010, 2172, 2625, 1999, 18847, 20366, 1012, 2138, 1997, 2122, 15508, 1010, 1037, 2971, 2001, 2218, 1998, 1037, 2047, 8154, 2881, 2011, 9865, 1047, 1012, 19739, 7941, 1010, 2145, 17142, 1996, 18667, 2094, 12828, 1010, 2001, 2207, 2006, 1022, 2255, 2384, 1012, 2174, 1010, 2009, 2001, 2623, 2011, 2728, 7908, 2008, 1010, 1996, 2489, 5910, 2094, 2622, 2003, 1000, 6224, 1037, 2047, 8154, 1010, 2021, 2025, 1037, 2047, 13314, 1000, 1998, 2008, 1996, 2489, 5910, 2094, 2622, 2097, 3613, 2000, 2224, 6841, 2666, 2004, 2049, 13314, 1012, 102, 101, 1996, 2171, 1000, 2489, 5910, 2094, 1000, 2001, 13279, 2011, 2585, 2665, 2386, 2006, 2539, 2238, 2857, 1010, 2060, 4081, 3415, 2020, 1000, 18667, 20952, 9910, 20842, 1000, 1998, 1000, 2489, 20842, 5910, 2094, 1000, 1012, 2489, 5910, 2094, 1005, 1055, 14558, 1010, 1000, 1996, 2373, 2000, 3710, 1000, 1010, 2003, 1037, 11749, 1997, 1996, 2489, 5910, 2094, 3192, 1012, 102, 101, 102, 101, 1027, 1027, 16942, 1027, 1027, 102, 101, 102, 101, 2045, 2024, 1037, 2193, 1997, 4007, 20611, 2241, 2006, 2489, 5910, 2094, 2164, 1024, 102, 101, 7480, 2121, 6299, 2184, 1006, 8241, 1007, 102, 101, 7473, 1030, 1011, 1030, 18667, 2094, 1006, 6461, 2012, 2188, 5198, 1998, 2573, 12516, 2015, 1007, 102, 101, 15363, 5910, 2094, 1006, 15363, 1030, 1011, 1030, 8048, 4082, 2291, 1010, 2761, 2241, 2006, 1047, 3207, 1007, 102, 101, 5745, 5910, 2094, 1006, 6775, 1030, 1011, 1030, 2241, 4353, 1010, 2029, 2036, 4107, 2060, 15363, 10058, 1007, 102, 101, 2489, 19022, 2666, 1006, 2444, 3729, 1007, 102, 101, 21517, 1006, 2444, 3729, 1007, 102, 101, 15015, 5910, 2094, 1006, 18077 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.006367889265254419, 0.0015251204738505688, 0.0026303978927881533, 0.0005966457128395923, 0.0031212531186843584, 0.000046591335283905994, 0.00030459583003738237, 0.0002751697634901031, 0.000003708172453905278, 0.0034656823240512774, 0.00014331347907502103, 0.03178033282185238, 0.00029769993381043714, 0.14031206947933836, 0.0005298608708422324, 8.782009877127484e-9, 0.0007349679578648584, 0.029736076642260828, 0.0046359660041777545, 0.02909309982856448, 0.002672575521199172, 0.03479222286906836, 0.00006034479824282722, 0.000013095935440246259, 0.0000048852886128232265, 0.01291481911626403, 0.17731091849876052, 0.024877329122904183, 0.015877425837656712, 0.010758481836489584, 0.012284085511729909, 8.782009877127484e-9, 0.005985120723438295, 0.031389115970375435, 0.03349455931397487, 0.00019535801871633078, 0.05249514657981318, 0.020835396169386986, 0.06402738173657938, 0.03265724938902192, 0.03460071646414106, 0.0011033486339718165, 0.000014153376250198157, 8.782009877127484e-9, 0.00005055098212147567, 0.0063557053079573945, 0.1300424306647139, 0.018581274838092778, 0.019789776237868106, 0.0012160640046590785 ]
[ 10210, 13340, 3508, 1998, 28751, 2075, 2458, 1007, 102, 101, 1049, 2692, 2078, 2692, 9628, 1006, 2543, 9628, 1007, 102, 101, 1052, 10343, 16700, 1006, 2543, 9628, 1007, 102, 101, 2489, 11649, 1006, 2005, 2897, 1030, 1011, 1030, 4987, 5527, 5733, 1007, 102, 101, 17235, 2549, 23301, 1006, 2005, 2897, 1030, 1011, 1030, 4987, 5527, 5733, 1007, 102, 101, 8740, 26830, 2121, 2615, 1013, 1062, 4014, 5602, 1011, 1006, 2005, 2897, 14903, 1004, 5527, 1007, 102, 101, 2035, 2122, 20611, 2031, 2053, 2030, 2069, 3576, 3431, 2043, 4102, 2007, 1996, 2434, 2489, 5910, 2094, 2918, 2291, 1012, 1996, 2364, 4489, 2000, 1996, 2434, 2489, 5910, 2094, 2003, 2008, 2027, 2272, 2007, 3653, 1030, 1011, 1030, 5361, 1998, 3653, 1030, 1011, 1030, 26928, 4007, 2005, 3563, 2224, 3572, 1012, 2023, 2064, 2022, 4102, 2007, 11603, 20611, 1010, 2029, 2024, 2035, 12441, 11892, 2138, 2027, 2224, 1996, 2168, 16293, 1998, 2036, 2224, 1996, 2168, 3937, 5906, 1010, 21624, 2015, 1998, 8860, 1010, 2096, 2746, 2007, 2367, 5097, 1010, 22354, 1998, 16140, 1012, 102, 101, 4661, 2122, 20611, 1010, 2045, 2024, 2070, 2981, 4082, 3001, 2241, 2006, 2489, 5910, 2094, 1012, 5202, 14151, 18667, 2094, 2003, 1037, 9292, 2013, 2489, 5910, 2094, 1018, 1030, 1012, 1030, 1022, 13659, 2005, 1037, 2367, 4800, 21572, 9623, 21748, 26351, 8093, 10698, 9276, 5656, 2084, 1996, 2028, 4217, 2005, 2489, 5910, 2094, 1019, 1998, 2458, 1997, 2070, 12702, 5484, 11877, 2838, 1012, 2009, 2515, 2025, 6614, 2000, 2994, 11892, 2007, 2489, 5910, 2094, 1998, 2038, 4121, 5966, 1999, 1996, 16293, 1998, 3937, 5310, 3122, 1012, 7090, 5910, 2094, 2003, 1037, 9292, 1997, 2489, 5910, 2094, 1020, 1030, 1012, 1030, 1015, 23733, 4600, 2013, 2279, 13473, 2361, 1010, 3391, 1999, 1996, 5310, 8278, 2533, 1012, 102, 101, 11534, 1010, 1996, 4563, 1997, 6207, 9808, 1060, 1010, 2950, 1037, 7484, 5371, 2291, 1998, 2897, 9991, 5173, 2013, 1996, 2489, 5910, 2094, 7484, 5371, 2291, 1998, 2897, 9991, 1010, 1998, 6177, 1997, 2049, 5198, 15327, 2024, 2036, 2489, 5910, 2094, 1030, 1011, 1030, 5173, 1012, 102, 101, 2070, 15002, 2578, 2008, 2024, 3495, 2241, 2006, 2489, 5910, 2094, 2024, 1024, 102, 101, 2054, 3736, 9397, 1011, 6194, 1016, 2454, 16483, 22975, 2361, 7264, 2566, 8241, 1012, 102, 101, 11157, 5733, 1998, 11157, 5080, 4082, 3001, 2241, 2006, 2489, 5910, 2094, 2421, 1024, 102, 101, 5658, 29098, 1005, 1055, 2951, 2006, 2696, 2361, 1022, 1012, 1060, 1998, 1996, 2085, 19886, 2006, 2696, 2361, 1043, 2595, 1006, 2069, 2004, 1037, 7170, 2121, 2005, 16350, 16293, 1030, 1011, 1030, 2686, 11336, 1007, 102, 101, 20907, 1005, 1055, 2330, 7532, 10439, 15204, 3401, 2000, 5047, 4180, 6959, 1012, 102, 101, 1996, 9160, 1018, 1006, 1000, 19607, 2483, 9808, 1000, 1007, 102, 101, 3033, 1997, 2489, 5910, 2094, 2020, 2036, 2109, 1999, 9160, 1017, 1012, 102, 101, 102, 101, 1027, 1027, 2544, 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 19817, 15395, 2389, 20014, 19761, 3508, 1027, 102, 101, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 1010, 2788, 3432, 3615, 2000, 2004, 20014, 19761, 3508, 1010, 2003, 1996, 11073, 1997, 1037, 12379 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0005756680201298846, 0.02392345185191742, 0.08244579163217385, 0.005639389800046399, 0.042534517460492416, 0.0010806671171160354, 9.016169146940659e-9, 0.009608324437668136, 0.004894464822923822, 0.04345160026422751, 0.003838519087379422, 0.05610628390863417, 0.0018293135223004045, 9.016169146940659e-9, 0.000004985276033685298, 0.00029763048936677167, 0.15641036973022415, 0.011208946715347138, 9.016169146940659e-9, 0.0478462705597838, 0.00007412142814661711, 0.1584548941479649, 0.0005697701435652997, 0.08861537140228191, 0.000015224729645515057, 0.0294011090607329, 0.00017579738094416879, 0.00015182172112646256, 0.07776579563705896, 0.0010294253833503888, 0.00013060977134752284, 0.01188118761248948, 0.00989834731482708, 0.04941948574793876, 0.0006259274937851102, 0.051110698429832735, 0.00044550611086860816, 0.0000022988893992750146, 9.016169146940659e-9, 0.0004225952795010509, 0.000025760421687410146, 0.00009114196531991762, 0.0001874477081547047, 0.00010248256837156203, 0.00033502358037725043, 0.0015189745404008235, 0.02575693034542516, 0.00007874562105108779, 0.000006653205854537373, 0.000010621598109177156 ]
[ 6081, 7270, 2046, 1996, 19817, 15395, 2050, 1006, 3612, 24548, 1007, 2000, 5441, 2019, 2330, 2250, 4576, 2030, 2000, 3710, 2004, 1037, 9530, 8566, 4183, 2083, 2029, 2000, 21497, 3056, 5850, 1012, 2009, 2003, 4703, 2864, 1999, 11321, 5229, 1010, 5665, 1010, 2030, 2019, 4355, 27065, 3550, 5022, 2000, 10956, 19536, 1997, 1996, 8948, 1010, 2164, 6228, 19536, 1010, 1998, 2000, 4652, 1996, 6061, 1997, 2004, 21281, 14787, 3508, 2030, 2250, 4576, 27208, 1012, 102, 101, 1996, 2087, 4235, 2109, 2799, 2003, 20298, 6494, 5403, 2389, 1010, 1999, 2029, 2019, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 2979, 2083, 1996, 2677, 1998, 5554, 14709, 2046, 1996, 19817, 15395, 2050, 1012, 1999, 1037, 17235, 4140, 22648, 20192, 2140, 7709, 1010, 2019, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 2979, 2083, 1996, 4451, 1998, 5554, 14709, 2046, 1996, 19817, 15395, 2050, 1012, 2060, 4725, 1997, 20014, 19761, 3508, 9125, 5970, 1998, 2421, 1996, 13675, 11261, 16921, 21709, 16940, 1006, 2109, 2471, 7580, 1999, 5057, 6214, 1007, 1998, 1996, 19817, 15395, 11439, 8029, 1010, 2109, 3952, 1999, 8146, 2073, 1037, 15330, 2342, 2005, 2250, 4576, 2490, 2003, 11436, 1012, 102, 101, 2138, 2009, 2003, 2019, 17503, 1998, 8796, 2966, 7709, 1010, 20014, 19761, 3508, 2003, 2788, 2864, 2044, 3447, 1997, 2236, 2019, 25344, 1998, 1037, 11265, 10976, 7606, 15431, 1030, 1011, 1030, 10851, 4319, 1012, 2009, 2064, 2174, 2022, 2864, 1999, 1996, 8300, 5776, 2007, 2334, 2030, 25665, 2019, 25344, 2030, 1999, 2019, 5057, 2302, 2151, 2019, 25344, 2012, 2035, 1012, 20014, 19761, 3508, 2003, 5373, 19601, 2011, 2478, 1037, 7511, 2474, 18143, 12333, 16186, 1010, 12379, 11917, 7361, 4588, 22953, 12680, 2891, 16186, 1010, 2030, 2678, 2474, 18143, 12333, 16186, 2000, 6709, 1996, 5554, 24551, 1998, 3413, 1996, 7270, 2090, 2068, 2046, 1996, 19817, 15395, 2050, 2612, 1997, 2046, 1996, 9686, 7361, 3270, 12349, 1012, 2060, 5733, 1998, 5461, 2089, 2022, 2109, 14084, 1012, 102, 101, 2044, 1996, 19817, 15395, 2050, 2038, 2042, 20014, 19761, 3064, 1010, 1037, 13212, 26450, 2003, 4050, 29561, 2074, 2682, 1996, 2521, 2203, 1997, 1996, 7270, 2000, 2393, 5851, 2009, 1999, 2173, 1010, 2000, 4652, 17271, 4270, 1997, 16464, 15865, 1010, 1998, 2000, 4047, 1996, 19817, 15395, 16429, 4948, 20881, 2140, 3392, 2013, 4909, 6151, 2229, 7895, 3468, 3430, 2107, 2004, 4308, 5648, 1012, 1996, 7270, 2003, 2059, 7119, 2000, 1996, 2227, 2030, 3300, 1998, 4198, 2000, 1037, 1056, 1030, 1011, 1030, 3538, 1010, 2019, 25344, 5505, 4984, 1010, 4524, 10764, 7308, 5080, 1010, 2030, 1037, 6228, 18834, 11733, 4263, 1012, 2320, 2045, 2003, 2053, 2936, 1037, 2342, 2005, 18834, 11733, 7062, 5375, 1998, 1013, 2030, 3860, 1997, 1996, 2250, 4576, 1010, 1996, 19817, 15395, 2389, 7270, 2003, 3718, 1025, 2023, 2003, 3615, 2000, 2004, 4654, 28251, 3370, 1997, 1996, 19817, 15395, 2050, 1006, 2030, 11703, 11639, 9513, 1010, 1999, 1996, 2553, 1997, 1037, 11707, 2250, 4576, 2107, 2004, 1037, 13675, 11261, 16921, 21709, 16940, 2030, 1037, 19817, 15395, 11439, 8029, 1007, 1012, 102, 101, 2005, 4693, 1010, 19817, 15395, 11439, 8029, 2001, 2641, 1996, 2069, 10539, 4118, 2005, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 1012, 2174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.002210284782456231, 0.09199514305778136, 0.03684061158550281, 0.05748417261712474, 0.019898278059244323, 0.0035684656577694117, 0.010913300251946038, 1.4721842468980975e-7, 0.08875773298846606, 0.000032337629875492434, 0.0009030305318912773, 0.00021428479500089064, 0.00001726623455823359, 0.0011167172494585635, 0.09500885195801163, 0.057489531008720875, 0.0018867566930450476, 0.007620050427874151, 0.00004892172472079528, 0.005305970319969423, 0.005352759682940514, 0.02280275650677629, 0.00018957530640266706, 0.09760330374048945, 6.408908896078974e-9, 3.332595969621136e-7, 0.006833855698876809, 0.015702926479581037, 0.00003486151077692626, 0.000042068559720923714, 0.024291885389830552, 0.021049584330813165, 0.020690585929280657, 0.003690218266686244, 0.00013944377613916707, 0.009842974924994417, 0.0000024057586155770613, 0.03975813441862204, 0.03275519674921627, 0.02676391463657879, 0.0004985700619363028, 0.0003680660989131461, 0.004064234167136406, 0.000003621012565799751, 0.006750236118458701, 0.02720731798297041, 0.08648603211601667, 0.022019939178392973, 0.04364446109846492, 0.00009887603845535715 ]
[ 1010, 2138, 2069, 1037, 7162, 1997, 5022, 5175, 1996, 3169, 1010, 11572, 12543, 19817, 15395, 11439, 8029, 2069, 2004, 1037, 2197, 7001, 1010, 2006, 5022, 2040, 2020, 3053, 2757, 1012, 2009, 2001, 2025, 2127, 1996, 2397, 3708, 2301, 2174, 2008, 9849, 1999, 4824, 1997, 13336, 1998, 16127, 1010, 2004, 2092, 2019, 12284, 1997, 1996, 16216, 10867, 3399, 1997, 4295, 1010, 2018, 5301, 1996, 9560, 1997, 2023, 3169, 2000, 1996, 2391, 2008, 2009, 2071, 2022, 2641, 2019, 11701, 3949, 5724, 1012, 2036, 2012, 2008, 2051, 1010, 9849, 1999, 2203, 2891, 26461, 16015, 2018, 5301, 2000, 2107, 1037, 3014, 2008, 3622, 2474, 18143, 12333, 3597, 7685, 2018, 2468, 1037, 14874, 2965, 2000, 5851, 1996, 2250, 4576, 2011, 1996, 2512, 1030, 1011, 1030, 11707, 20298, 6494, 5403, 2389, 2799, 1012, 2011, 1996, 3054, 1030, 1011, 1030, 3983, 2301, 1010, 1996, 19817, 15395, 11439, 8029, 2004, 2092, 2004, 2203, 2891, 3597, 7685, 1998, 2512, 1030, 1011, 1030, 11707, 19817, 15395, 2389, 20014, 19761, 3508, 2018, 7964, 2013, 6524, 4846, 8853, 2000, 3352, 6827, 6177, 1997, 1996, 6078, 1997, 2019, 4355, 15689, 20569, 1010, 4187, 2729, 4200, 1010, 5057, 4200, 1010, 1998, 2474, 18143, 24141, 15707, 1012, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 2064, 2022, 3378, 2007, 3576, 12763, 2107, 2004, 3714, 4091, 2030, 12922, 28893, 1997, 1996, 14095, 1997, 1996, 3356, 2250, 4576, 1012, 2009, 2064, 2036, 2022, 3378, 2007, 9280, 10611, 12763, 2107, 2004, 21908, 2004, 16781, 1997, 4308, 8417, 2029, 2064, 2765, 1999, 1037, 5729, 1998, 2823, 10611, 5072, 2004, 16781, 1052, 2638, 2819, 10698, 7315, 1010, 2030, 4895, 2890, 3597, 29076, 5422, 20014, 19761, 3508, 1997, 1996, 9686, 7361, 3270, 12349, 2029, 2064, 2599, 2000, 9280, 10611, 2019, 11636, 2401, 1012, 2138, 1997, 2023, 1010, 1996, 4022, 2005, 7669, 2030, 12763, 2349, 2000, 1996, 3739, 1997, 5866, 2250, 4576, 13336, 2030, 2060, 4895, 8663, 13181, 11001, 10857, 2003, 5362, 16330, 2077, 18457, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 4522, 9942, 2005, 12329, 1996, 2250, 4576, 2442, 2467, 2022, 12192, 2800, 1012, 102, 101, 102, 101, 1027, 1027, 24936, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 5393, 1999, 1037, 3528, 1997, 8146, 2043, 7355, 2030, 1037, 2966, 7709, 16263, 1037, 2711, 2013, 8498, 1037, 3154, 2250, 4576, 1010, 5505, 1010, 1998, 7722, 5844, 1996, 2668, 1012, 1999, 2122, 6214, 1010, 7722, 12448, 3370, 2478, 1037, 3722, 2227, 7308, 2003, 14710, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 14777, 2504, 1997, 8298, 1027, 1027, 1027, 102, 101, 102, 101, 3383, 1996, 2087, 2691, 12407, 2005, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 2005, 1996, 11073, 1997, 1037, 9530, 8566, 4183, 2083, 2029, 9152, 13181, 2271, 15772, 2030, 20606, 2019, 4355, 20086, 2015, 2089, 2022, 8564, 1012, 2236, 2019, 4355, 20086, 6074, 1010, 6728, 3695, 9821, 1010, 1998, 11265, 10976, 7606, 15431, 1030, 1011, 1030, 10851, 5850, 2089, 11737, 5498, 4095, 2030, 2130, 11113, 20872, 2232, 1996, 16464, 3298, 1012, 2348, 2009, 2003, 2025, 1996, 2069, 2965, 2000, 5441, 1037, 7353, 2250, 4576, 2076, 2236, 2019, 25344, 1010, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 6.430022784870232e-7, 0.0007875934036210918, 0.005865638514803833, 0.08991195160201859, 0.013551917581177908, 0.018156063407922134, 0.00009033936991375482, 0.06417307548326491, 0.0030448299924323236, 0.01073502962374441, 0.14061137216072642, 0.0003553059241406346, 0.056638727236719026, 0.011844276689108313, 0.002459298478744867, 0.00043392378971768004, 0.01104821739941011, 0.009570677358768657, 0.0014639113490420778, 0.035465097540284894, 0.00002191909752779104, 0.004454518160737393, 0.01576438819445152, 0.12504488917784537, 0.00021582945829219598, 0.029764158594708212, 0.015047574992552227, 0.0004878258710616122, 0.00008723149950760153, 0.0002663991460012253, 0.0007295233844951112, 0.00589056324900102, 0.00007874391006617474, 0.08315562217205867, 0.00369505536719456, 0.0018474218060642036, 0.0011170206835796647, 0.020316289774490758, 0.0010466967603986108, 0.0012667650886207824, 0.0009036889948442342, 0.002301757634795759, 0.11039590680004381, 0.0016725856430797913, 0.030589024189252655, 0.0016775989649932311, 0.0009260801999181635, 0.0018829325541423784, 0.06260329196205593, 0.0005408067603792215 ]
[ 3640, 1996, 2087, 10539, 2965, 1997, 7722, 3370, 1998, 19536, 1998, 1996, 4602, 3014, 1997, 3860, 2114, 19723, 12514, 18557, 1998, 21908, 2004, 16781, 1012, 102, 101, 4053, 2000, 1996, 4167, 1006, 2107, 2004, 2013, 1037, 5294, 6909, 1010, 2512, 1030, 1011, 1030, 22391, 2132, 4544, 1010, 2046, 9048, 10719, 2030, 16149, 1007, 2089, 2765, 1999, 1037, 14777, 2504, 1997, 8298, 1012, 2043, 2023, 4150, 5729, 2000, 1996, 2391, 1997, 24646, 17822, 2030, 16571, 1006, 4225, 2004, 1037, 3556, 2006, 1996, 6785, 16571, 4094, 1997, 2625, 2084, 1022, 1007, 1010, 8790, 7859, 1997, 1996, 4654, 18886, 3619, 2594, 6650, 1997, 1996, 2250, 4576, 2064, 27885, 3367, 6820, 6593, 1996, 2250, 4576, 1010, 17727, 17819, 1996, 2489, 4834, 1997, 2250, 2046, 1996, 8948, 1012, 7297, 1010, 9474, 2250, 4576, 22259, 2229, 2107, 2004, 21454, 1998, 18468, 2089, 2022, 15911, 2030, 9962, 1012, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 2411, 3223, 2000, 9239, 6986, 11916, 1006, 1996, 5816, 6438, 1997, 3796, 4270, 1007, 1997, 1996, 2250, 4576, 1998, 4047, 1996, 19817, 15395, 16429, 4948, 20881, 2140, 3392, 2013, 21908, 2004, 16781, 1997, 3806, 12412, 8417, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1044, 22571, 11636, 17577, 1027, 1027, 1027, 102, 101, 102, 101, 20014, 19761, 3508, 2089, 2022, 4072, 2005, 1037, 5776, 2007, 10548, 7722, 4180, 1998, 7722, 2938, 18924, 1997, 1996, 2668, 3303, 2043, 2037, 5505, 2003, 14710, 1006, 1044, 22571, 25592, 26065, 3508, 1007, 1010, 6731, 1006, 9706, 22084, 1007, 1010, 2030, 2043, 1996, 8948, 2024, 4039, 2000, 12949, 4651, 3806, 8583, 2000, 1996, 2668, 1012, 2107, 5022, 1010, 2040, 2089, 2022, 8300, 1998, 9499, 1010, 2024, 4050, 11321, 5665, 2007, 1037, 4800, 6508, 13473, 2213, 4295, 2030, 3674, 5729, 6441, 1012, 4973, 1997, 2107, 3785, 2421, 28711, 8560, 4544, 1010, 3674, 19395, 28929, 1010, 5729, 18583, 1010, 11325, 16464, 12893, 8715, 1006, 12098, 5104, 1007, 1010, 2030, 2379, 1030, 1011, 1030, 14759, 1012, 4919, 1010, 20014, 19761, 3508, 2003, 2641, 2065, 1996, 25543, 7704, 3778, 1997, 7722, 1006, 6643, 2080, 2475, 1007, 2003, 2625, 2084, 3438, 4971, 28136, 1997, 8714, 1006, 3461, 1044, 2290, 1007, 2096, 5505, 2019, 4427, 1051, 2475, 6693, 1006, 10882, 2080, 2475, 1007, 1997, 2753, 1003, 2030, 3618, 1012, 1999, 5022, 2007, 8319, 25543, 6351, 14384, 1010, 2019, 25543, 7704, 3778, 1997, 2522, 2475, 1006, 14397, 2080, 2475, 1007, 3618, 2084, 3429, 3461, 1044, 2290, 1999, 1996, 4292, 1997, 5648, 17577, 2052, 25732, 20014, 19761, 3508, 1010, 2926, 2065, 1037, 2186, 1997, 11702, 10580, 1037, 4788, 5582, 16464, 5648, 12650, 1012, 7539, 1997, 1996, 5911, 5300, 1010, 2122, 11594, 2024, 2467, 10009, 1999, 1996, 6612, 6123, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2250, 4576, 27208, 1027, 1027, 1027, 102, 101, 102, 101, 5025, 2030, 17945, 2250, 4576, 27208, 2003, 1037, 2691, 12407, 2005, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 1012, 2166, 1030, 1011, 1030, 8701, 2250, 4576, 27208, 2089, 5258, 2043, 1037, 3097, 2303, 4150, 20451, 1999, 1996, 2250, 4576, 1025, 2023, 2003, 2926, 2691, 1999, 16725, 1998, 6927, 12910, 1012, 5729, 14969, 2030, 22391, 4544, 2000, 1996, 2227, 2030, 3300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.036971716717233385, 0.00001742610240117939, 0.08995815652754977, 0.0002868425882232112, 0.10669302092677706, 0.0001855071376361483, 6.946692471314403e-9, 0.00012391532438605209, 0.028561885660671096, 0.07263657983658948, 0.00013839245414735531, 0.02537925736709159, 6.9558335477174136e-9, 0.019851879599882636, 0.02225618778210192, 6.946692471314403e-9, 0.003817197281514581, 0.020454099706570646, 0.06826845200307764, 0.005052717322556569, 0.00021470927445101212, 0.02878471181776315, 0.02363626993037718, 0.0006500463892170003, 0.00002485313513041456, 0.003901228451511949, 0.006647244090808887, 0.0000650879373226773, 0.01515464592555221, 3.517210852093397e-7, 0.00014081111354999866, 0.004272842401262669, 0.00046330157480418255, 0.0013905954640934576, 0.07182261756070525, 0.00017289715397079546, 0.002022659016055604, 0.0001697414190526717, 0.00668330087863103, 0.10451122952999795, 0.0000011503175710936985, 0.08620478859543389, 0.006645648770680787, 0.00003530217322109671, 0.0000040940735658010035, 0.04173680215192434, 0.004081419635722105, 0.00031364442729271734, 0.026174522237773952, 0.06342022764384227 ]
[ 2089, 2022, 5642, 2011, 18348, 1998, 2019, 9186, 19610, 10610, 2863, 1010, 2030, 4544, 2000, 1996, 2474, 18143, 2595, 1010, 19817, 15395, 2050, 2030, 22953, 12680, 2072, 1012, 2250, 4576, 27208, 2003, 2036, 2691, 1999, 2111, 2040, 2031, 4265, 5610, 1999, 19531, 3508, 2030, 7641, 2306, 2030, 2379, 1996, 2250, 4576, 2030, 4958, 8004, 10994, 3775, 7315, 1012, 8760, 18960, 18634, 4023, 1998, 17076, 3695, 14728, 2863, 2024, 2060, 2691, 5320, 1997, 2166, 1030, 1011, 1030, 8701, 2250, 4576, 27208, 2029, 2089, 5478, 19817, 15395, 2389, 20014, 19761, 3508, 2000, 5851, 1996, 2250, 4576, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 16924, 1997, 1996, 2250, 4576, 1027, 1027, 1027, 102, 101, 102, 101, 16474, 2030, 17261, 16924, 1997, 1996, 2250, 4576, 1006, 2107, 2004, 22953, 12680, 2891, 3597, 7685, 1010, 9138, 7242, 2030, 26261, 24360, 1997, 1996, 22953, 12680, 2072, 1007, 2089, 23852, 2135, 15115, 2007, 1996, 3754, 2000, 7200, 1025, 20014, 19761, 3508, 2089, 2022, 4072, 1999, 2107, 8146, 1012, 102, 101, 102, 101, 1027, 1027, 3941, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2474, 18143, 12333, 16186, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 6565, 3484, 1997, 19817, 15395, 2389, 20014, 19761, 9285, 9125, 1996, 2224, 1997, 1037, 10523, 6602, 1997, 2028, 2828, 2030, 2178, 1012, 1996, 2715, 7511, 2474, 18143, 12333, 16186, 3774, 1997, 1037, 5047, 4820, 10274, 2008, 2373, 1037, 2422, 1998, 1037, 2275, 1997, 8989, 3085, 10491, 1010, 2029, 2024, 2593, 3442, 2030, 9203, 1012, 2023, 5080, 2003, 2881, 2000, 3499, 1996, 2474, 18143, 12333, 3597, 18136, 2102, 2000, 3495, 3193, 1996, 2474, 18143, 2595, 1012, 2349, 2000, 1996, 6923, 11343, 1997, 2107, 5733, 1010, 1996, 6028, 1997, 6397, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 2003, 6524, 9051, 2651, 1010, 2348, 2009, 2089, 2145, 2022, 6179, 1999, 3056, 5057, 8146, 1010, 2107, 2004, 3019, 2030, 2158, 1030, 1011, 1030, 2081, 18665, 1012, 1999, 1996, 3653, 15006, 23270, 2389, 5057, 4292, 1010, 3617, 20014, 19761, 3508, 2089, 2022, 29611, 2065, 1996, 5776, 2003, 1999, 1037, 2597, 2008, 3084, 3622, 2474, 18143, 12333, 3597, 7685, 5263, 1012, 2005, 2742, 1010, 3617, 20014, 19761, 3508, 2089, 2022, 2109, 2011, 1037, 11498, 7583, 2594, 2065, 1996, 5776, 2003, 4372, 6494, 11469, 1999, 2019, 20037, 2597, 1999, 1037, 4316, 2044, 1037, 5013, 4316, 12365, 2007, 1037, 15330, 4654, 12412, 3370, 2051, 1012, 102, 101, 1996, 3247, 2000, 2224, 1037, 3442, 2030, 9203, 2474, 18143, 12333, 16186, 6085, 9041, 6576, 2006, 1996, 3563, 28141, 2838, 1997, 1996, 2250, 4576, 1010, 1998, 6576, 2006, 1996, 3167, 3325, 1998, 12157, 1997, 1996, 2474, 18143, 12333, 3597, 18136, 2102, 1012, 1996, 22228, 6085, 2003, 1996, 2087, 4235, 2109, 9203, 2474, 18143, 12333, 16186, 6085, 1010, 2096, 1996, 4679, 6085, 2003, 1996, 2087, 2759, 2806, 1997, 3442, 6085, 1012, 2119, 4679, 1998, 22228, 2474, 18143, 12333, 16186, 10491, 2024, 2800, 1999, 10826, 1014, 1006, 10527, 1007, 2083, 1018, 1006, 2312, 4639, 1007, 1012, 2045, 2024, 2116, 2060, 6782, 1997, 3442, 1998, 9203, 10491, 1010, 2007, 16611, 2107, 2004, 13536, 2005, 4372, 8017, 4726, 1996, 2492, 1997, 3193, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0012254055384471384, 0.01590149587616955, 0.04000184912989434, 0.000042865650979329555, 0.004621903977120444, 0.03579777240883676, 0.07874868309283843, 0.0000027125384739878915, 0.027324796322731545, 0.0005950757579141926, 0.0005070825607783705, 0.007864218615510954, 0.12181787579028819, 0.007667374881461812, 0.004379107690415986, 0.06833895007444431, 0.00010450535827010341, 0.002567033054235532, 0.00011142534899452436, 0.0020267791724504322, 0.03832509325198214, 0.0004393239975977398, 0.10103620409540605, 0.0017271748521711882, 0.03932189046409777, 0.06271759466345331, 0.005234463382315632, 0.008733064289011452, 0.0004267696570863419, 0.015027694105297787, 0.0010407241056982319, 0.00030132285307336843, 0.043277690366453556, 0.0003270268127767401, 0.0018653034230124061, 0.0012140865324331246, 0.0038204480797025243, 0.000003786155525789242, 0.006407791318327281, 7.2411715636304296e-9, 0.0005576563748625969, 0.013662130674838407, 0.08538368267966596, 0.04907812368725462, 0.0000015130422195315294, 0.0007965253273117796, 0.04736567117916361, 0.001340826782859774, 0.043649515793520305, 0.007269981971453584 ]
[ 2130, 8831, 2005, 1996, 3447, 1997, 7722, 1012, 2122, 12233, 10491, 2024, 3952, 2881, 2005, 2224, 2011, 2019, 4355, 27065, 5130, 1998, 27178, 19478, 6038, 24141, 22522, 2015, 1010, 2087, 4141, 1999, 1996, 4082, 2282, 1012, 102, 101, 11917, 7361, 4588, 3913, 16656, 26127, 2015, 2031, 2468, 6233, 2800, 2144, 1996, 4134, 1012, 1999, 5688, 2000, 1996, 7511, 2474, 18143, 12333, 16186, 1010, 2122, 5733, 3499, 1996, 2474, 18143, 12333, 3597, 18136, 2102, 2000, 17351, 3193, 1996, 2474, 18143, 2595, 1012, 2023, 3640, 1037, 3278, 5056, 1999, 8146, 2073, 1996, 6872, 3791, 2000, 2156, 2105, 2019, 11325, 8815, 1999, 2344, 2000, 5107, 4697, 1996, 1043, 10994, 7315, 1010, 1998, 3066, 2007, 4728, 3697, 20014, 19761, 9285, 1012, 2678, 2474, 18143, 12333, 16186, 2015, 2024, 7772, 11917, 7361, 4588, 3913, 16656, 26127, 2015, 2008, 2224, 1037, 3617, 2678, 4950, 13617, 2000, 3499, 1996, 6872, 2000, 3193, 1996, 1043, 10994, 7315, 1998, 2474, 18143, 2595, 2006, 1037, 2678, 8080, 1012, 2060, 1000, 2512, 2378, 12044, 3512, 1000, 5733, 2029, 2064, 2022, 4846, 2000, 6509, 1999, 19817, 15395, 2389, 20014, 19761, 3508, 2024, 1996, 2474, 18143, 3351, 2389, 7308, 2250, 4576, 1006, 2109, 2004, 1037, 9530, 8566, 4183, 2005, 2203, 4140, 22648, 20192, 2140, 7270, 11073, 1007, 1998, 1996, 2250, 6494, 4160, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2806, 3215, 1027, 1027, 1027, 102, 101, 102, 101, 2019, 20014, 19761, 3436, 2806, 2102, 2003, 1037, 6670, 5243, 3468, 3384, 7318, 2881, 2000, 2022, 12889, 2046, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2000, 2191, 1996, 7270, 23758, 2488, 2000, 1996, 3356, 2250, 4576, 13336, 1997, 1996, 3563, 3265, 1012, 2023, 4681, 2003, 4141, 2109, 2007, 1037, 3697, 2474, 18143, 12333, 3597, 7685, 1012, 2074, 2004, 2007, 2474, 18143, 12333, 16186, 10491, 1010, 2045, 2024, 2036, 2195, 4127, 1997, 2800, 2806, 3215, 1010, 2107, 2004, 1996, 12297, 2705, 2239, 2806, 2102, 1010, 2029, 2003, 4919, 2881, 2000, 3582, 1996, 3438, 1080, 6085, 6466, 1997, 1996, 21096, 26127, 2678, 2474, 18143, 12333, 16186, 1012, 102, 101, 1996, 9686, 19944, 2078, 19817, 15395, 2389, 7270, 8970, 2099, 1006, 2411, 19721, 3615, 2000, 2004, 1037, 1000, 16031, 21274, 8945, 15916, 2666, 1000, 1007, 2003, 7772, 2828, 1997, 2806, 2102, 2109, 2000, 10956, 3697, 20014, 19761, 3508, 1012, 2023, 12379, 5080, 2003, 3438, 4642, 1006, 2484, 1999, 1007, 1999, 3091, 1010, 2321, 2413, 1006, 1019, 3461, 6705, 1007, 2007, 1037, 2235, 1000, 3873, 1030, 1011, 1030, 6293, 1000, 6466, 2012, 1996, 2521, 2203, 1012, 4406, 1037, 3151, 20014, 19761, 3436, 2806, 2102, 1010, 1996, 9686, 19944, 2078, 19817, 15395, 2389, 7270, 8970, 2099, 2003, 4050, 12889, 3495, 2046, 1996, 19817, 15395, 2050, 1998, 2059, 2109, 2004, 1037, 5009, 2058, 2029, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2064, 2022, 2979, 1006, 1999, 1037, 5450, 19639, 2000, 1996, 7367, 24573, 2121, 6028, 1007, 1012, 2004, 1996, 9686, 19944, 2078, 19817, 15395, 2389, 7270, 8970, 2099, 2003, 9839, 2625, 11841, 2084, 1037, 7511, 2806, 2102, 1010, 2023, 6028, 2003, 2641, 2000, 2022, 1037, 4659, 2012, 2527, 25360, 2965, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 102, 101, 1996, 19817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0.07118678489449745, 0.003281878961874468, 0.015615553136296721, 0.025891892525725855, 0.12220928559723696, 0.008819092140363837, 0.04513826531999306, 0.016495250163575614, 0.0059745269031442495, 5.22566152451464e-7, 0.002376957091152002, 0.00354305430523192, 0.0020167102183378744, 0.000005298356109494046, 0.0009130650761541531, 0.011780603874490978, 0.0007254778588070666, 0.04733250361858764, 0.01750182133177106, 0.000019906296465197954, 0.005011645106949944, 0.039141200142521114, 0.0005235380422711356, 0.0006643577950248745, 0.00009096817845928183, 0.06674190914538522, 0.0012484398412748018, 0.010725755793617151, 0.03144390880951552, 7.023561943251809e-9, 0.0020419056579887135, 0.000037613707116832184, 0.0032046256349499208, 8.565690836998535e-7, 0.005254886610575124, 0.0008520306284791145, 0.0066424866797534215, 0.0024799036271931536, 0.00032530829592780457, 0.007623551378301074, 0.00018084399828510218, 0.00004169682938167035, 0.02149553454328578, 0.04804131001317289, 0.04656616743345756, 0.06597914341187745, 0.022706689464391167, 0.1063448120991834, 0.05838189996764283, 0.04537855333540451 ]
[ 15395, 2389, 7270, 3863, 2099, 2003, 1037, 8892, 4937, 27065, 2121, 1010, 5179, 2000, 6282, 4642, 1006, 2570, 1030, 1012, 1030, 1014, 2000, 2861, 1030, 1012, 1030, 1023, 1999, 1007, 1999, 3091, 1010, 2008, 2064, 2022, 2109, 2005, 8208, 1998, 6110, 1997, 19817, 15395, 2389, 10868, 2302, 1996, 2342, 2005, 2474, 18143, 12333, 3597, 7685, 1012, 1996, 5660, 2250, 4576, 3863, 4937, 27065, 2121, 1006, 6187, 8586, 1007, 2003, 2178, 2742, 1997, 2023, 2828, 1997, 4937, 27065, 2121, 1025, 2023, 5080, 2038, 1037, 2430, 11320, 3549, 1006, 8892, 3149, 1007, 2083, 2029, 7722, 2064, 2022, 8564, 1012, 102, 101, 1996, 26390, 2806, 2102, 2003, 1037, 5080, 2008, 13495, 1996, 6958, 1997, 9099, 8591, 12717, 9323, 2000, 10956, 6397, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 1006, 2019, 20014, 19761, 3508, 6028, 1999, 2029, 1996, 2474, 18143, 12333, 3597, 18136, 2102, 2515, 2025, 3193, 1996, 1043, 10994, 7315, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 19817, 15395, 2389, 10868, 1027, 1027, 1027, 102, 101, 102, 101, 1037, 19817, 15395, 2389, 7270, 2003, 1037, 4937, 27065, 2121, 2008, 2003, 12889, 2046, 1996, 19817, 15395, 2050, 2005, 1996, 3078, 3800, 1997, 7411, 1998, 8498, 1037, 7353, 1006, 2330, 1998, 27776, 5910, 18300, 2098, 1007, 2250, 4576, 1012, 19817, 15395, 2389, 10868, 2024, 4703, 2109, 2005, 2250, 4576, 2968, 1999, 1996, 10906, 1997, 2236, 2019, 25344, 1010, 4187, 2729, 1010, 6228, 19536, 1998, 5057, 4200, 1012, 2116, 2367, 4127, 1997, 19817, 15395, 2389, 10868, 2024, 2800, 1010, 10897, 2005, 2367, 3563, 5097, 1012, 2019, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 1037, 3563, 2828, 1997, 19817, 15395, 2389, 7270, 2008, 2003, 3053, 2467, 12889, 2083, 1996, 2677, 1006, 20298, 6494, 5403, 2389, 1007, 2030, 4451, 1006, 17235, 4140, 22648, 20192, 2140, 1007, 1012, 2009, 2003, 1037, 5505, 9530, 8566, 4183, 2881, 2000, 2022, 2872, 2046, 1996, 2250, 4576, 1997, 11321, 5229, 1010, 5665, 2030, 2019, 4355, 27065, 3550, 5022, 1999, 2344, 2000, 4685, 6228, 3893, 3778, 19536, 1997, 1996, 8948, 1998, 2000, 4652, 1996, 6061, 1997, 2004, 16781, 2030, 2250, 4576, 27208, 1012, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2038, 1037, 11414, 2881, 2000, 2022, 4198, 2000, 1037, 3120, 1997, 2811, 28405, 3806, 2107, 2004, 7722, 1012, 2012, 1996, 2060, 2203, 2003, 2019, 2030, 23664, 2083, 2029, 2107, 15865, 2024, 2856, 2046, 1996, 8948, 1998, 2089, 2036, 2421, 1037, 13212, 1006, 3615, 2000, 2004, 1037, 26450, 1007, 1012, 1996, 5955, 1997, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 10959, 2682, 1996, 2482, 3981, 1006, 2077, 1996, 19817, 15395, 2050, 20487, 2000, 2169, 11192, 1007, 1998, 10203, 2306, 1996, 19817, 15395, 2050, 2061, 2008, 1996, 8948, 2064, 2022, 18834, 11733, 3064, 8053, 1012, 1037, 19817, 15395, 14122, 16940, 7270, 2003, 2178, 2828, 1997, 19817, 15395, 2389, 7270, 1025, 2023, 1016, 1516, 1017, 1030, 1011, 1030, 4960, 1030, 1011, 1030, 2146, 1006, 4868, 1516, 6146, 3461, 1007, 9203, 3384, 2030, 6081, 7270, 2003, 12889, 2046, 1037, 19817, 15395, 14122, 16940, 2358, 9626, 2030, 1037, 13675, 11261, 16921, 21709, 16940, 4297, 19969, 1012, 102, 101, 19817, 15395, 2389, 10868, 2064, 2022, 2109, 2000, 5676, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.05970788368559431, 0.035776481057260855, 0.000018240757405940488, 0.00015482760807626375, 0.08985199254631995, 0.017120023232795815, 0.014454733416289793, 0.040308967975868595, 0.025197400460641794, 0.016562922870065833, 0.000008047749467256345, 0.000034115732135741424, 0.011910217442022447, 0.00013222492953013072, 0.014289802503355849, 0.0059065142905898645, 0.0008820256366317273, 0.0428659999432815, 0.03350001072412779, 0.000572985031160055, 0.01516834809365962, 6.907422578154805e-9, 0.005568327844723014, 0.0003734304979190372, 0.00003958697280671829, 0.048351396609109844, 0.00040592375535321307, 0.008756473843480089, 0.007175724034166127, 0.0007288709921651282, 0.08252258964160897, 0.00756014580852412, 0.0008797999851444611, 0.002355951800297811, 0.12349069392987377, 0.014185547694799655, 0.00012558112252557645, 0.04909321433338246, 0.000011566110916039007, 0.005798462874510431, 0.0000036634728399518944, 0.0055332618015399146, 0.12324187795817526, 0.00013726309036699255, 0.015918948985340315, 0.0007073299103420642, 0.020692093409371528, 0.03207502381950735, 0.019419717289405045, 0.0004237598181015923 ]
[ 11706, 3863, 1997, 7722, 1998, 6351, 14384, 1010, 2000, 8116, 7722, 1999, 3020, 14061, 2084, 2179, 1999, 2250, 1010, 2030, 2000, 21497, 2060, 15865, 2107, 2004, 22764, 1010, 9152, 12412, 15772, 1010, 9152, 13181, 2271, 15772, 1010, 1060, 16515, 2078, 1010, 2030, 3056, 20606, 2019, 4355, 20086, 6074, 2107, 2004, 4078, 10258, 4648, 2638, 1010, 11163, 10258, 4648, 2638, 1010, 2030, 7367, 6767, 10258, 4648, 2638, 1012, 2027, 2089, 2036, 2022, 2109, 2004, 1037, 2799, 2005, 3447, 1997, 3056, 20992, 2107, 2004, 22953, 12680, 7716, 11733, 6591, 1010, 15938, 2522, 28228, 13186, 3334, 17086, 1010, 1998, 5850, 2109, 1999, 12318, 15050, 6545, 2107, 2004, 2012, 18981, 3170, 1010, 4958, 3170, 8458, 11467, 1010, 11876, 24755, 3170, 1998, 12436, 28793, 8303, 2378, 1012, 102, 101, 2761, 2081, 2013, 2397, 2595, 8903, 1010, 2087, 2715, 2203, 4140, 22648, 20192, 2140, 10868, 2651, 2024, 3833, 1997, 26572, 6371, 8516, 19057, 1012, 10868, 3833, 1997, 13773, 2063, 8903, 1010, 7318, 1030, 1011, 1030, 11013, 13773, 2063, 8903, 2030, 18676, 3886, 2024, 2036, 2800, 2005, 2569, 5097, 1012, 2005, 2529, 2224, 1010, 10868, 2846, 1999, 2946, 2013, 1016, 2000, 2184, 1030, 1012, 1030, 1019, 3461, 1006, 1014, 1030, 1012, 1030, 1015, 2000, 1014, 1030, 1012, 1030, 1018, 1999, 1007, 1999, 4722, 6705, 1012, 1996, 2946, 2003, 4217, 2241, 2006, 1996, 5776, 1005, 1055, 2303, 2946, 1010, 2007, 1996, 3760, 10826, 2108, 2109, 2005, 16725, 1998, 2336, 1012, 2087, 2203, 4140, 22648, 20192, 2140, 10868, 2031, 2019, 1999, 10258, 27892, 26450, 2000, 7744, 1996, 19817, 15395, 16429, 4948, 20881, 2140, 3392, 2114, 17271, 4270, 1997, 16464, 15865, 1998, 21908, 2004, 16781, 1997, 3806, 12412, 8417, 1010, 2668, 1010, 3595, 8496, 1998, 2060, 20989, 1012, 4895, 10841, 15388, 10868, 2024, 2036, 2800, 1010, 2295, 2037, 2224, 2003, 3132, 3262, 2000, 2336, 1006, 1999, 2235, 2336, 1010, 1996, 13675, 11261, 3593, 11122, 11733, 3351, 2003, 1996, 4867, 4355, 4664, 1997, 1996, 2250, 4576, 1998, 2788, 3640, 2019, 11706, 7744, 2005, 6228, 19536, 1007, 1012, 102, 101, 1999, 2804, 2000, 26450, 2098, 2030, 4895, 10841, 15388, 1010, 3653, 29021, 2203, 4140, 22648, 20192, 2140, 10868, 2024, 2036, 2800, 1012, 1996, 8700, 1998, 19077, 14786, 10868, 1006, 2315, 2044, 1996, 12235, 2015, 3614, 1010, 15262, 4313, 1998, 3449, 11761, 1007, 2024, 1996, 2087, 4235, 2109, 1997, 1996, 3653, 29021, 10868, 1012, 102, 101, 2045, 2024, 1037, 2193, 1997, 2367, 4127, 1997, 3313, 1030, 1011, 1030, 11320, 3549, 2203, 2080, 1030, 1011, 1030, 22953, 12680, 4818, 10868, 2008, 2031, 2203, 16429, 4948, 20881, 2140, 2004, 2092, 2004, 2203, 4140, 22648, 20192, 2140, 6833, 1006, 5529, 6132, 1010, 2317, 1998, 7031, 14238, 10868, 1007, 1012, 2122, 10868, 2024, 4050, 28155, 14787, 2140, 1010, 2007, 2048, 3584, 6833, 1998, 2048, 3584, 16556, 1012, 2027, 13265, 2019, 2203, 4140, 22648, 20192, 2140, 11320, 3549, 2029, 28790, 1999, 1996, 19817, 15395, 2050, 1998, 2019, 2203, 16429, 4948, 20881, 2140, 11320, 3549, 1010, 1996, 29333, 5955, 1997, 2029, 2003, 10959, 1015, 1516, 1016, 4642, 2046, 1996, 2157, 2030, 2187, 2364, 13473, 2213, 22953, 12680, 2271, 1012, 2045, 2003, 2036, 1996, 4895, 3512, 3372, 7270, 1010, 2029, 2038, 1037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0008388054328602698, 0.008212279515579141, 0.00012312956480264658, 0.00002049516433592279, 0.049733294810090804, 0.000024691286903791568, 0.04689413308188879, 0.029065865197886506, 0.0039287279775271355, 0.0017696337790992654, 0.001270386905147846, 0.000690089909973466, 0.00862082391295092, 0.0001332230770742789, 0.0768740907527972, 0.0007099730096703448, 6.698545042524787e-9, 0.014399916854775822, 0.014804948862023349, 0.000012963493138491636, 0.012362317487676168, 0.0690378876899966, 0.061113042589496194, 0.0015557527654608953, 0.000018243319618607833, 0.013787712596517857, 0.04152154034634361, 6.698545042524787e-9, 0.007361564319077255, 0.03533478651409463, 0.0398149504619933, 0.10622257511200354, 0.00036540626224125397, 0.034304080494686334, 0.002307366771852806, 0.001476848912071604, 0.023545418519270812, 0.001288352036816162, 0.03102813709439531, 0.004654228125007051, 0.07655541805727963, 0.0014614545502411118, 0.000030190296310575073, 0.009410551326527655, 0.001426542685989512, 0.0023553164031732943, 0.0503667845332363, 0.015340351237214842, 0.0911495902915781, 0.006676103214212983 ]
[ 2309, 19817, 15395, 2389, 11320, 3549, 1998, 2019, 6377, 2203, 16429, 4948, 20881, 2140, 3796, 2121, 1012, 2122, 10868, 9585, 2028, 2000, 18834, 11733, 2618, 2119, 8948, 1010, 2030, 2593, 11192, 9174, 1012, 2309, 1030, 1011, 1030, 11192, 19536, 1006, 4352, 1996, 11192, 2006, 1996, 12160, 2217, 2000, 7859, 1007, 2064, 2022, 6179, 2076, 15321, 6305, 2594, 5970, 1010, 2004, 2009, 2064, 10956, 1996, 9431, 1005, 1055, 3193, 1998, 3229, 2000, 2060, 7882, 5090, 2306, 1996, 15321, 6305, 2594, 17790, 1012, 102, 101, 1996, 1000, 10612, 1000, 2203, 4140, 22648, 20192, 2140, 10868, 2024, 26450, 2098, 1010, 7318, 1030, 1011, 1030, 11013, 13773, 2063, 8903, 10868, 1012, 2027, 2024, 2172, 2062, 12379, 2084, 26572, 6371, 8516, 19057, 10868, 1010, 2664, 2027, 2024, 3697, 2000, 4012, 20110, 2030, 12631, 2243, 1012, 2023, 2064, 2191, 2068, 6179, 2005, 8146, 1999, 2029, 1996, 19817, 15395, 2050, 2003, 11436, 2000, 3961, 20014, 19761, 3064, 2005, 1037, 15330, 9367, 1010, 2030, 2065, 1996, 3300, 2003, 2000, 3961, 24244, 2076, 5970, 1012, 2087, 10612, 10868, 2031, 1037, 23848, 8591, 7774, 1010, 2021, 3653, 29021, 10612, 14786, 10868, 2024, 2036, 2800, 1012, 2178, 2828, 1997, 2203, 4140, 22648, 20192, 2140, 7270, 2038, 2176, 2235, 16556, 2074, 2682, 1996, 1999, 10258, 27892, 26450, 1010, 2029, 2064, 2022, 2109, 2005, 10514, 7542, 1997, 1996, 19817, 15395, 2050, 2030, 3447, 1997, 26721, 6494, 5403, 2389, 20992, 2065, 4072, 1012, 2060, 10868, 1006, 2107, 2004, 1996, 12170, 17789, 2050, 1042, 8462, 1030, 1011, 1030, 12731, 2546, 7270, 1007, 2024, 2881, 4919, 2005, 2224, 1999, 9138, 5970, 1999, 1998, 2105, 1996, 2250, 4576, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 4725, 2000, 12210, 7270, 11073, 1027, 1027, 1027, 102, 101, 102, 101, 2053, 2309, 4118, 2005, 19195, 19817, 15395, 2389, 7270, 11073, 2038, 2042, 3491, 2000, 2022, 2531, 1003, 10539, 1012, 11914, 1010, 1996, 2224, 1997, 3674, 4725, 2005, 13964, 1997, 6149, 7270, 11073, 2003, 2085, 4235, 2641, 2000, 2022, 1996, 3115, 1997, 2729, 1012, 2107, 4725, 2421, 3622, 5107, 3989, 2004, 1996, 5955, 1997, 1996, 7270, 5235, 2083, 1996, 1043, 10994, 7315, 1010, 2030, 14958, 5107, 3989, 1997, 1996, 19817, 15395, 2389, 7270, 2306, 1996, 19817, 15395, 2050, 2478, 1037, 5080, 2107, 2004, 1037, 22953, 12680, 2891, 16186, 1012, 2007, 1037, 7919, 10959, 19817, 15395, 2389, 7270, 1010, 5020, 17758, 3052, 4165, 2097, 2022, 2657, 2588, 5962, 2000, 1996, 3108, 2007, 1037, 26261, 2705, 2891, 16186, 1010, 1998, 2053, 2614, 2588, 5962, 2000, 1996, 2181, 2058, 1996, 4308, 1012, 5020, 17758, 4125, 1998, 2991, 1997, 1996, 3108, 2813, 2097, 2022, 10358, 2007, 18834, 11733, 7062, 26144, 2015, 1012, 1037, 2235, 3815, 1997, 2300, 20064, 2097, 2036, 2022, 10358, 2306, 1996, 11320, 3549, 1997, 1996, 7270, 2007, 2169, 4654, 19531, 3508, 1998, 2045, 2097, 2022, 2053, 3806, 12412, 8417, 1999, 1996, 19817, 15395, 2389, 7270, 2012, 2151, 2051, 1012, 102, 101, 28946, 1010, 2012, 2560, 2028, 1997, 1996, 4725, 12550, 2005, 19195, 19817, 15395, 2389, 7270, 11073, 2097, 2022, 1037, 9854, 6602, 1012, 4400, 14192, 6178, 3630, 12565, 2038, 6003, 2004, 1996, 2751, 3115, 2005, 1996, 13964, 1997, 7270, 11073, 2306, 1996, 19817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0012349789011551855, 0.002967867051084523, 0.09021680644163836, 0.005818852477621668, 0.0942466673270978, 0.0008327222548605181, 0.08466973030203163, 0.017673717099072582, 0.000029846825686591445, 0.03654234552893025, 0.006683709149507155, 0.0008276616028436594, 0.00004418824622298822, 0.0005361630925956767, 0.00046819598424206364, 0.02077970315494479, 0.000367705453999449, 0.026271207599797106, 0.01959293092824706, 0.0009692725778479524, 0.005568394050735508, 0.09157244428329088, 0.0021970926235929866, 0.0003182670909400438, 0.0029974599233804984, 0.00030876205056462944, 0.001958171219911481, 0.023596378927789687, 0.010614883890077281, 0.000002513832135701234, 0.04790154253477692, 0.1471602998834442, 0.0014120120183419049, 0.07795101063002174, 0.000001956110529144853, 0.04238696357129096, 0.0034379837922595058, 6.935036393338004e-9, 0.00010979525396760372, 0.0021688935247885723, 0.05301855559541717, 9.322345370126537e-7, 0.00045181352114308964, 0.00000355777139534735, 0.002267659617745783, 0.00011878634635051124, 0.023981127555326553, 0.04617088762518725, 0.00003151296626320242, 0.0015160626203314037 ]
[ 15395, 2050, 1012, 2060, 4725, 18345, 2006, 5693, 2421, 1996, 2224, 1997, 1037, 3609, 14428, 12412, 2203, 1030, 1011, 1030, 15065, 6351, 14384, 19034, 1010, 1037, 2969, 1030, 1011, 1030, 1999, 10258, 5844, 9686, 7361, 3270, 3351, 2389, 20581, 1010, 2030, 2019, 9686, 7361, 3270, 3351, 2389, 10788, 5080, 1012, 1996, 29333, 5955, 1997, 1037, 7919, 10959, 19817, 15395, 2389, 7270, 2097, 2022, 2284, 1999, 1996, 3054, 1030, 1011, 1030, 19817, 15395, 2050, 1010, 5560, 1016, 4642, 1006, 1015, 1999, 1007, 2682, 1996, 12170, 27942, 10719, 1997, 1996, 2482, 3981, 1025, 2023, 2064, 2022, 4484, 2011, 3108, 1060, 1030, 1011, 1030, 4097, 1012, 2065, 2009, 2003, 12889, 2205, 2521, 2046, 1996, 19817, 15395, 2050, 1006, 3458, 1996, 2482, 3981, 1007, 1010, 1996, 5955, 1997, 1996, 19817, 15395, 2389, 7270, 2003, 3497, 2000, 2022, 2306, 1996, 2157, 2364, 22953, 12680, 2271, 1517, 1037, 3663, 2411, 3615, 2000, 2004, 1037, 1000, 2157, 2364, 13473, 2213, 20014, 19761, 3508, 1000, 1012, 1999, 2023, 3663, 1010, 1996, 2187, 11192, 2089, 2022, 4039, 2000, 5589, 1999, 19536, 1010, 2029, 2064, 2599, 2000, 10548, 7722, 4180, 2349, 2000, 19536, 1013, 2566, 20523, 28616, 18900, 2818, 1012, 102, 101, 102, 101, 1027, 1027, 2569, 8146, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 26360, 1027, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 1999, 1996, 5057, 4292, 2064, 2022, 3697, 2007, 1996, 11917, 7361, 4588, 22953, 12680, 2891, 16186, 2349, 2000, 2668, 1010, 23251, 1010, 2030, 3595, 8496, 1999, 1996, 2250, 4576, 1998, 3532, 5776, 6792, 1012, 2138, 1997, 2023, 1010, 5022, 2007, 5294, 13268, 4544, 1010, 3143, 3356, 2250, 4576, 27208, 1010, 8949, 15911, 19536, 1010, 2030, 11268, 8557, 3356, 2250, 4576, 9524, 2024, 3532, 5347, 2005, 11917, 7361, 4588, 20014, 19761, 3508, 1012, 11917, 7361, 4588, 20014, 19761, 3508, 2104, 2236, 2019, 25344, 4050, 5942, 2048, 10571, 3633, 1012, 3112, 6165, 1997, 2069, 6640, 1516, 6584, 1003, 2031, 2042, 2988, 2478, 11917, 7361, 4588, 5461, 1999, 1996, 5057, 2533, 1010, 2007, 3278, 19077, 9524, 10066, 1999, 2039, 2000, 2570, 1003, 1997, 5022, 1012, 2122, 4009, 12221, 5787, 1996, 2224, 1997, 11917, 7361, 4588, 22953, 12680, 2891, 3597, 7685, 5399, 1999, 13661, 1998, 5057, 8146, 1012, 102, 101, 5073, 5281, 1999, 3622, 2474, 18143, 12333, 3597, 7685, 2024, 2025, 2467, 3202, 2800, 1999, 3056, 10906, 2008, 5478, 5057, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 2005, 2023, 3114, 1010, 7772, 5733, 2031, 2042, 2881, 2000, 2552, 2004, 7346, 2000, 1037, 15764, 2250, 4576, 1012, 2107, 5733, 2421, 1996, 2474, 18143, 3351, 2389, 7308, 2250, 4576, 1010, 26450, 2098, 20298, 21890, 18143, 3351, 2389, 2250, 4576, 1998, 1996, 9686, 7361, 3270, 3351, 2389, 1030, 1011, 1030, 19817, 15395, 2389, 22863, 4183, 12083, 2063, 1006, 22863, 4183, 12083, 2063, 1007, 1012, 2060, 5733, 2107, 2004, 11841, 2806, 3215, 1010, 1996, 2422, 7447, 2094, 1006, 1037, 6397, 6028, 1007, 1998, 14958, 11917, 7361, 4588, 11841, 2806, 3215, 1010, 2107, 2004, 1996, 7087, 4232, 9531, 1010, 11139, 5886, 9531, 1998, 1996, 8814, 26127, 2064, 2036, 2022, 2109, 2004, 15955, 2000, 3622, 2474, 18143, 12333, 3597 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00003271848061322236, 0.004250237026637554, 0.12622339577186328, 0.0013414293891879376, 0.0050986220091731715, 0.0141182492057878, 0.04186527549152562, 0.008209531980302354, 0.013735610779658637, 0.00003732223240900308, 0.03322111898710062, 0.0001752397335798754, 0.014274194404456798, 0.004905777704525877, 0.004551046104555161, 0.005697635450622166, 0.05256347259220965, 0.004771069762428758, 0.09713704033947866, 0.001673329192653216, 0.06146013964178602, 0.0012326843805070358, 0.00008785243761765094, 0.0019349575708946876, 0.07102230282535271, 0.01050618279981105, 0.035546663542466043, 0.0013438141038692377, 0.011546605277233998, 0.06353139510297862, 0.0011075874686011775, 0.004248048658167246, 0.010729053947346415, 0.001230647246016564, 0.00007891640433442091, 0.000029567559056483693, 0.000025475465438851417, 0.0015372710196994677, 7.087980981530223e-9, 0.00044922078610589464, 0.09147047799134127, 0.0689052413100036, 0.02171007758714481, 0.0004315420215158637, 0.059173312131711606, 0.00617808010975438, 5.186309495931696e-7, 0.0027444757599203733, 0.0265824970694178, 0.011273067424206914 ]
[ 7685, 1012, 2169, 1997, 2122, 5733, 2031, 2049, 2219, 4310, 2275, 1997, 6666, 1998, 4009, 12221, 1010, 1998, 3904, 1997, 2068, 2003, 4621, 2104, 2035, 6214, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 5915, 1030, 1011, 1030, 5537, 15946, 1998, 20014, 19761, 3508, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 5915, 5537, 15946, 1998, 20014, 19761, 3508, 1006, 12667, 2072, 1007, 2003, 1037, 3327, 4118, 1997, 15946, 1997, 2236, 2019, 25344, 1010, 4141, 4846, 1999, 5057, 3136, 1998, 2060, 8146, 2073, 5022, 2024, 5071, 2000, 2031, 1037, 1000, 2440, 4308, 1000, 1012, 1996, 7863, 1997, 12667, 2072, 2003, 2000, 18478, 1996, 6061, 1997, 19723, 12514, 18557, 1998, 21908, 2004, 16781, 1997, 3806, 12412, 8417, 2076, 1996, 15946, 1997, 2236, 2019, 25344, 1998, 4745, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 12667, 2072, 6964, 7336, 3653, 11636, 2100, 6914, 5844, 1996, 8948, 2007, 1037, 7371, 11414, 7722, 7308, 1010, 2628, 2011, 1996, 25582, 3447, 1997, 2019, 26721, 8159, 3560, 3637, 1030, 1011, 1030, 29290, 4005, 1998, 1037, 5901, 3772, 11265, 10976, 7606, 15431, 1030, 1011, 1030, 10851, 4319, 1010, 2107, 2004, 21326, 21017, 5007, 1010, 10514, 14693, 4890, 29358, 18861, 2063, 1010, 2030, 20199, 4017, 22648, 9496, 2819, 2022, 27572, 3686, 1010, 2077, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 1012, 102, 101, 2028, 2590, 4489, 2090, 12667, 2072, 1998, 9410, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 2008, 1996, 18742, 2515, 2025, 21118, 6509, 1996, 19536, 1997, 1996, 8948, 2044, 1996, 14447, 1997, 2236, 2019, 25344, 1998, 8292, 11488, 3508, 1997, 5505, 1010, 2127, 1996, 19817, 15395, 2050, 2038, 2042, 20014, 19761, 3064, 1998, 1996, 26450, 2038, 2042, 29561, 1012, 2178, 3145, 3444, 1997, 12667, 2072, 2003, 1996, 4646, 1997, 6410, 1005, 13675, 11261, 3593, 3778, 1005, 2000, 1996, 13675, 11261, 3593, 11122, 11733, 3351, 1010, 2411, 3615, 2000, 2004, 1996, 1000, 5271, 6799, 17519, 1000, 1010, 3188, 2000, 16015, 1997, 1996, 2250, 4576, 1998, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 1012, 102, 101, 2144, 1996, 4955, 1997, 12667, 2072, 1010, 2045, 2038, 2042, 6704, 4953, 8990, 2296, 7814, 1997, 2023, 6028, 1010, 2164, 1024, 102, 101, 3601, 1997, 15946, 4319, 1010, 13004, 1998, 4118, 1997, 3447, 1012, 102, 101, 24685, 1997, 6410, 19536, 2077, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 102, 101, 15502, 2597, 1998, 3251, 1996, 2132, 1030, 1011, 1030, 2039, 1010, 2132, 1030, 1011, 1030, 2091, 1010, 2030, 9876, 10514, 19265, 2597, 2003, 1996, 3647, 3367, 2005, 15946, 1997, 2019, 25344, 1999, 2440, 1030, 1011, 1030, 4308, 5022, 1012, 102, 101, 4646, 1997, 13675, 11261, 3593, 3778, 1006, 1996, 5271, 6799, 17519, 1007, 1012, 102, 101, 2315, 2005, 2329, 2019, 4355, 27065, 2923, 4422, 4300, 5271, 6799, 1006, 4271, 1516, 2727, 1007, 2040, 2034, 2649, 1996, 7709, 1999, 3777, 1010, 1996, 3125, 1997, 13675, 11261, 3593, 3778, 2003, 2000, 18478, 1996, 6061, 1997, 19723, 12514, 18557, 1998, 21908, 2004, 16781, 1997, 3806, 12412, 8417, 1012, 13675, 11261, 3593, 3778, 2038, 2042, 4235, 2109, 2076, 12667, 2072, 2005, 3053, 5595, 2086, 1010, 2750, 1037, 3768, 1997, 17075, 3350, 2000, 2490, 2023, 3218, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07797714725326982, 0.000005038385275609071, 0.01414339956451755, 0.00006273136813129654, 6.70766840775454e-9, 0.000001596646423686356, 0.046250801362096, 0.0298496200436245, 0.028102671119277105, 0.05025507746383564, 0.0027576718376190333, 0.05130074121847963, 0.000032865006189341565, 0.021505304332596342, 0.0031603722790642225, 0.00001275543067460725, 0.05851302478972168, 0.018233043500306523, 0.013102611010708268, 0.09145940258848052, 0.0009569329967098369, 0.001285429639414708, 0.03958995419028198, 0.003073239527681711, 0.0007920951832612303, 0.0002939449147761954, 0.0163997780698682, 0.07569122444696356, 0.001969827231011474, 5.346953126231347e-7, 0.11015314525733937, 0.000005027681715432214, 0.0017498533107793163, 0.08212499044388902, 0.0037331752804356465, 6.70766840775454e-9, 0.00008688235689318932, 0.0038541728021727695, 0.006178124982749554, 0.0014254578709283242, 0.007628781530709213, 0.008789671383019865, 5.585158889985171e-7, 0.05639720595834111, 0.009247274675537539, 0.00033731761406180196, 0.05692037706274273, 3.062830461698003e-8, 0.0001630324320216176, 0.004426070701560252 ]
[ 101, 1996, 25551, 4118, 2000, 4685, 2023, 6028, 2003, 1996, 12201, 13675, 11261, 16921, 21709, 16940, 1006, 2036, 3615, 2000, 2004, 1037, 2566, 12690, 17191, 29454, 3370, 2389, 13675, 11261, 16921, 21709, 16940, 1007, 1010, 1999, 2029, 1037, 2312, 1030, 1011, 1030, 8501, 1006, 2260, 1516, 2403, 7633, 1007, 26721, 8159, 3560, 4937, 27065, 2121, 2003, 2109, 2000, 26136, 14890, 1996, 13675, 11261, 16921, 22943, 10804, 1012, 7722, 2064, 2059, 2022, 8564, 2083, 2023, 4937, 27065, 2121, 3081, 6892, 16021, 16093, 10258, 3370, 1012, 2174, 1010, 2096, 12201, 13675, 11261, 16921, 21709, 16940, 2089, 2022, 2166, 1030, 1011, 1030, 7494, 1999, 6034, 6214, 1010, 2023, 6028, 2003, 2069, 3832, 2000, 2022, 1037, 13657, 21885, 2075, 5468, 2127, 1037, 15764, 2250, 4576, 2064, 2022, 2511, 1012, 2096, 12201, 13675, 11261, 16921, 21709, 16940, 2064, 3073, 11706, 7722, 3370, 1010, 1996, 2235, 6705, 1997, 1996, 13675, 11261, 16921, 21709, 16940, 4937, 27065, 2121, 2003, 13990, 2005, 9614, 1997, 6351, 14384, 1006, 19536, 1007, 1012, 2044, 2028, 3178, 1997, 9706, 2638, 2594, 7722, 3370, 2083, 1037, 12201, 13675, 11261, 16921, 21709, 16940, 1010, 2028, 2064, 5987, 1037, 14397, 2080, 2475, 1997, 3618, 2084, 5539, 3461, 1044, 2290, 1998, 2019, 25543, 6887, 1997, 2625, 2084, 1020, 1030, 1012, 1030, 5824, 1010, 2750, 2019, 7722, 2938, 18924, 1997, 5818, 1003, 2030, 3618, 1012, 1037, 2062, 15764, 2250, 4576, 2064, 2022, 2511, 2011, 4488, 1037, 11707, 13675, 11261, 16921, 21709, 16940, 1010, 1999, 2029, 1037, 1019, 2000, 1020, 3461, 1006, 1014, 1030, 1012, 1030, 2322, 2000, 1014, 1030, 1012, 1030, 2484, 1999, 1007, 2203, 4140, 22648, 20192, 2140, 7270, 2030, 19817, 15395, 14122, 16940, 7270, 2064, 2022, 12889, 2083, 1037, 3469, 4297, 19969, 1012, 102, 101, 2195, 8712, 3006, 17463, 8684, 18655, 13675, 11261, 16921, 21709, 16940, 18628, 1010, 2029, 9585, 2028, 2000, 2224, 2593, 1037, 7318, 1030, 1011, 1030, 8546, 2566, 12690, 17191, 29454, 3370, 2389, 1006, 7367, 24573, 2121, 1007, 6028, 1010, 2030, 1996, 4438, 11707, 6028, 2000, 19274, 1037, 26572, 6371, 8516, 2818, 10626, 5178, 4937, 27065, 2121, 2083, 1996, 13675, 11261, 16921, 22943, 10804, 1012, 1996, 18628, 2089, 2022, 24802, 1999, 2902, 5057, 7640, 1998, 4082, 19796, 1010, 2004, 2092, 2004, 10771, 2015, 1998, 2060, 3479, 3653, 1030, 1011, 1030, 2902, 10906, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 19817, 15395, 11439, 8029, 1027, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 11439, 8029, 3774, 1997, 2437, 2019, 4297, 19969, 2006, 1996, 2392, 1997, 1996, 3300, 1998, 3098, 1037, 3622, 2250, 4576, 2083, 2019, 4297, 19969, 1999, 1996, 19817, 15395, 2050, 1012, 1996, 4525, 3098, 2064, 3710, 9174, 2004, 2019, 2250, 4576, 2030, 2004, 1037, 2609, 2005, 1037, 19817, 15395, 14122, 16940, 7270, 2000, 2022, 12889, 1025, 2023, 7270, 4473, 1037, 2711, 2000, 7200, 2302, 1996, 2224, 1997, 2010, 4451, 2030, 2677, 1012, 1996, 3098, 2089, 2022, 2081, 2011, 1037, 21065, 2884, 2030, 1037, 12201, 1006, 3615, 2000, 2004, 11707, 1998, 2566, 12690, 17191, 5461, 4414, 1007, 1998, 2119, 5461, 2024, 4235, 2109, 1999, 2783, 3218, 1012, 1999, 2344, 2000, 5787, 1996, 3891, 1997, 4053, 2000, 1996, 28667, 29264, 2474, 18143, 3351, 2389 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00009099689463285705, 0.06177165964477965, 0.00006367238297961759, 6.222773421664219e-9, 0.03481409855431979, 0.008533402267876118, 0.037882081416986894, 0.02994013239574218, 0.04737680543733702, 0.0031196966306181627, 0.06991326766417646, 0.057936241261116475, 0.03185625380646911, 0.0004221878765970687, 0.0000071468057492258795, 0.011002123541488251, 0.04538616947398729, 0.08797968170132935, 0.06541139641227559, 0.00009032921558277473, 0.0000015981442698544049, 0.06785357358811041, 0.000008050511331856264, 0.005256113530633955, 0.020096652518713648, 0.000004132008052393215, 0.00016283246633331093, 0.006349840123370861, 0.013346129679074758, 0.00004431521597841324, 0.0000020372170701675423, 0.02220951498974, 0.00007595499537500545, 0.002482827394054522, 0.00434071726477058, 0.0010288469177622895, 0.0012357310120372602, 0.00034451146517268795, 0.10028065989669947, 0.00016950671905010956, 0.0000895627730020623, 0.0013568506674004638, 0.0003719833116383782, 0.029735406080913566, 6.222773421664219e-9, 0.0011952418968322037, 0.06738434305004519, 0.029557875131851638, 0.010288647577140025, 0.021129188023984145 ]
[ 10627, 1006, 1996, 10627, 2008, 2491, 1996, 2376, 8758, 1007, 1010, 1996, 19817, 15395, 11439, 8029, 2003, 2864, 2004, 2152, 1999, 1996, 19817, 15395, 2050, 2004, 2825, 1012, 2065, 2069, 2028, 1997, 2122, 10627, 2003, 5591, 1010, 1996, 5776, 1005, 1055, 2376, 2089, 2022, 18234, 1006, 1040, 7274, 20846, 2401, 1007, 1025, 2065, 2119, 1997, 1996, 10627, 2024, 5591, 1010, 1996, 5776, 2097, 2022, 4039, 2000, 3713, 1006, 9706, 8747, 2401, 1007, 1012, 1999, 1996, 11325, 4292, 1010, 24936, 2005, 19817, 15395, 11439, 8029, 2024, 2714, 2000, 2216, 2005, 13675, 11261, 16921, 21709, 16940, 1012, 1999, 1996, 11888, 4292, 1010, 24936, 2005, 19817, 15395, 11439, 8029, 2421, 1996, 2342, 2005, 2146, 1030, 1011, 1030, 2744, 6228, 19536, 1998, 8208, 1997, 19817, 15395, 2389, 3595, 8496, 1006, 1041, 1012, 1043, 1012, 1010, 16571, 22282, 5022, 1010, 2030, 4866, 5970, 5994, 1996, 2132, 1998, 3300, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2336, 1027, 1027, 1027, 102, 101, 102, 101, 2045, 2024, 3278, 5966, 1999, 2250, 4576, 13336, 1998, 16464, 16127, 2090, 2336, 1998, 6001, 1010, 1998, 2122, 2024, 2579, 2046, 6176, 9584, 2077, 4488, 19817, 15395, 2389, 20014, 19761, 3508, 1997, 2151, 23614, 5776, 1012, 1996, 5966, 1010, 2029, 2024, 3243, 3278, 1999, 16725, 1010, 6360, 10436, 2004, 1996, 2529, 2303, 8107, 1037, 9677, 2287, 1998, 2303, 3742, 5950, 1012, 102, 101, 2005, 16725, 1998, 2402, 2336, 1010, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 2003, 6082, 2084, 1996, 17235, 4140, 22648, 20192, 2140, 2799, 1012, 17235, 4140, 22648, 20192, 2140, 20014, 19761, 3508, 7883, 1037, 3891, 1997, 4487, 14540, 7716, 20511, 1997, 16298, 17086, 1998, 19077, 9524, 1012, 2750, 1996, 3618, 7669, 1010, 17235, 4140, 22648, 20192, 2140, 20014, 19761, 3508, 2799, 2003, 9544, 3085, 2000, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 1999, 2336, 14996, 11806, 2729, 1998, 9034, 15330, 20014, 19761, 3508, 2138, 2023, 2799, 4473, 1037, 2062, 5851, 8081, 3370, 1997, 1996, 7270, 1012, 2004, 2007, 6001, 1010, 2045, 2024, 1037, 2193, 1997, 5733, 11974, 2881, 2005, 5375, 2007, 3697, 19817, 15395, 2389, 20014, 19761, 3508, 1999, 2336, 1012, 13964, 1997, 5372, 2597, 1997, 1996, 19817, 15395, 2389, 7270, 2003, 8885, 2004, 2007, 4639, 5022, 1012, 102, 101, 2138, 1996, 2250, 4576, 1997, 1037, 2775, 2003, 4867, 1010, 1037, 2235, 3815, 1997, 1043, 10994, 4588, 2030, 19817, 15395, 2389, 18348, 2064, 3965, 4187, 27208, 1012, 19274, 2075, 1037, 7270, 2008, 2003, 2205, 2312, 5816, 2000, 1996, 6705, 1997, 1996, 19817, 15395, 2050, 2064, 3426, 18348, 1012, 18868, 1010, 19274, 2075, 1037, 7270, 2008, 2003, 2205, 2235, 2064, 2765, 1999, 13720, 2000, 6162, 4621, 3893, 3778, 19536, 2349, 2000, 22307, 24170, 4019, 1997, 3806, 2083, 1996, 1043, 10994, 7315, 1998, 2041, 1996, 2677, 1998, 4451, 1006, 2411, 3615, 2000, 2004, 1037, 1000, 17271, 1000, 2105, 1996, 7270, 1007, 1012, 2019, 11664, 17271, 2064, 2788, 2022, 13371, 2011, 19274, 2075, 1037, 3469, 7270, 2030, 1037, 26450, 2098, 7270, 1012, 102, 101, 1996, 5955, 1997, 1037, 11178, 10959, 19817, 15395, 2389, 7270, 2097, 2022, 1999, 1996, 3054, 1030, 1011, 1030, 19817, 15395, 2050, 1010, 2090, 1996, 29600, 2015, 2006, 2019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000047435063079812196, 0.11995834248674554, 0.00009757766068835418, 0.025779080052201524, 0.07128954130037451, 0.003511241188726436, 0.01924820880547791, 0.001991263892197627, 0.014949517164649985, 0.0014188204208026409, 0.047278131149216904, 0.001967927749445799, 0.000054895602910970195, 0.0029156191784721177, 0.013448450984350591, 0.010017555697153843, 0.07085195320063628, 0.012422784527217056, 0.012614136193448536, 8.660330099168798e-7, 0.00991323983805451, 0.0007489072426251275, 0.036147782649857706, 0.050193563259866784, 0.00031573874434380353, 0.015199959263053089, 0.08616934039576056, 0.00011849949652772186, 0.0000015780976501660997, 0.0003663170705891328, 0.01719744485461241, 0.11946998514206268, 0.004166545732691936, 0.010744438322635082, 0.0007767644928755541, 0.0002659411131635235, 0.06446826991400295, 0.011178813368192939, 0.002894845559213694, 0.0004137408991108953, 0.06575029617018692, 0.00022975120721446574, 0.000058794698345145566, 0.00019876371496185387, 0.000003962670356584799, 0.000004232080934724533, 0.00008274811174610841, 0.01441952707512625, 0.0077663715005962955, 0.050870488962835025 ]
[ 14405, 10624, 19894, 11124, 2953, 3108, 2557, 14413, 1012, 1996, 6149, 6705, 1997, 1996, 7270, 2003, 2008, 2029, 3463, 1999, 1037, 2235, 17271, 2012, 1037, 3778, 1997, 2055, 2423, 4642, 1006, 2184, 1999, 1007, 1997, 2300, 1012, 1996, 6413, 5110, 6705, 2005, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 4358, 2000, 2022, 5560, 1996, 2168, 6705, 2004, 1996, 2775, 1005, 1055, 2210, 4344, 1012, 1996, 6413, 3091, 2005, 1996, 2203, 4140, 22648, 20192, 2140, 7270, 2064, 2022, 4358, 2011, 19383, 1996, 3292, 2013, 1996, 3420, 1997, 1996, 2775, 1005, 1055, 2677, 2000, 1996, 4540, 5033, 1012, 2005, 21371, 16725, 1016, 1030, 1012, 1030, 1019, 3461, 1006, 1014, 1030, 1012, 1030, 1015, 1999, 1007, 4722, 6705, 2003, 2019, 6413, 2946, 2005, 1996, 19817, 15395, 2389, 7270, 1012, 2005, 16725, 1997, 3671, 16216, 20100, 2389, 2287, 1010, 1017, 3461, 1006, 1014, 1030, 1012, 1030, 2260, 1999, 1007, 4722, 6705, 2003, 2019, 6413, 2946, 1012, 2005, 5373, 2053, 9496, 14740, 2336, 1015, 2095, 1997, 2287, 1998, 3080, 1010, 2048, 5675, 2063, 2024, 2109, 2000, 10197, 1996, 6413, 6705, 1998, 5995, 2005, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 1996, 4722, 6705, 1997, 1996, 7270, 1999, 3461, 2003, 1006, 5776, 1005, 1055, 2287, 1999, 2086, 1009, 2385, 1007, 1013, 1018, 1010, 2096, 1996, 6413, 5995, 1997, 23851, 4642, 2003, 2260, 1009, 1006, 5776, 1005, 1055, 2287, 1999, 2086, 1013, 1016, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 20662, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 20662, 2015, 2489, 4834, 7722, 2109, 2000, 2022, 6749, 2076, 20014, 19761, 3508, 2174, 2004, 2045, 2003, 2053, 3350, 1997, 5770, 1996, 2249, 17212, 2361, 11594, 2053, 2936, 2079, 1012, 102, 101, 102, 101, 1027, 1027, 29458, 7669, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 2025, 1037, 3722, 7709, 1998, 1996, 8465, 1997, 4945, 2024, 6542, 1012, 3568, 1010, 1996, 5776, 2003, 5362, 16330, 2005, 4022, 7669, 2030, 12763, 25828, 1012, 2023, 7336, 2635, 1996, 2966, 2381, 1997, 1996, 5776, 1998, 4488, 1037, 3558, 7749, 1010, 1996, 3463, 1997, 2029, 2064, 2022, 3195, 2114, 2028, 1997, 2195, 5579, 3001, 1012, 1996, 3818, 11707, 7709, 1006, 1041, 1012, 1043, 1012, 1010, 5970, 5994, 1996, 2132, 1998, 3300, 1010, 2030, 22466, 4017, 7277, 5970, 1007, 2089, 2599, 2028, 2000, 3424, 6895, 17585, 8190, 2007, 20014, 19761, 3508, 1012, 2116, 3633, 2031, 5866, 2250, 4576, 13336, 1010, 2107, 2004, 2216, 2040, 2031, 3132, 2929, 1997, 2037, 3300, 2030, 5730, 1010, 2030, 2216, 2040, 2031, 21434, 1010, 2784, 18348, 2349, 2000, 4544, 2030, 2000, 2035, 24395, 1010, 13908, 28828, 1997, 1996, 5730, 1010, 2030, 9987, 19101, 8153, 1997, 1996, 2227, 1998, 3300, 1012, 2478, 7511, 2474, 18143, 12333, 26461, 5461, 1010, 20014, 19761, 3508, 1997, 1996, 19817, 15395, 2050, 2064, 2022, 3697, 2030, 2130, 5263, 1999, 2107, 5022, 1012, 2023, 2003, 2339, 2035, 5381, 4488, 19817, 15395, 2389, 20014, 19761, 3508, 2442, 2022, 5220, 2007, 4522, 5461, 1997, 12329, 1996, 2250, 4576, 1012, 2224, 1997, 1996, 12379, 11917, 7361, 4588, 22953, 12680, 2891, 16186, 1998, 2714, 5733, 2038, 2468, 2426, 1996, 6871, 5461, 1999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.041498034969010285, 0.032050841853785685, 0.001203209292445785, 0.00004775772931329854, 0.0008320996621857824, 0.04008486711213018, 0.0037238178772935836, 0.00021810651761533108, 0.07138784855684235, 0.0005356878603813516, 0.009349455402416414, 0.00001265728042911399, 0.025089044598106812, 0.028237969837151294, 0.00015619359050144348, 0.0008081511452157796, 0.11815038340525695, 0.021893086004512452, 0.0005291798685373281, 0.06020973158183985, 0.0030351655455538723, 0.0000050933384443220785, 0.0030052207162635904, 0.06282907019769303, 0.0042331224716923195, 0.013779891376214173, 1.2778804233238722e-7, 0.00547329941570843, 0.0045933268282892115, 0.00003187996386834546, 0.014237647725205478, 0.10323204933706788, 8.206788080626041e-9, 0.00001866730681733578, 0.004171550945029982, 0.000060939572319842946, 0.0043140219516115946, 0.09042819676334211, 0.020712943851172668, 0.0027996624970875587, 0.020342691169431, 0.032673181516870826, 0.0005581195176838065, 0.00002804423800384998, 0.09076800529953034, 0.003272158453701093, 0.0009402790693234568, 0.03596884893384921, 0.022465549587984284, 0.000003112270438750339 ]
[ 1996, 2968, 1997, 2107, 3572, 1012, 2174, 1010, 2122, 5733, 5478, 1037, 2367, 8066, 2275, 2084, 2008, 4846, 2005, 7511, 2474, 18143, 12333, 3597, 7685, 1998, 2024, 6450, 2000, 5309, 1010, 5441, 1998, 7192, 1012, 102, 101, 2043, 2635, 1996, 5776, 1005, 1055, 2966, 2381, 1010, 1996, 3395, 2003, 8781, 2055, 2151, 3278, 5751, 2030, 8030, 1010, 2107, 2004, 7669, 1999, 4092, 2030, 7669, 1999, 5505, 1012, 2122, 2089, 6592, 27885, 3367, 6820, 11873, 22520, 1999, 2536, 5269, 2306, 1996, 3356, 2250, 4576, 1010, 2474, 18143, 2595, 1010, 2030, 19817, 15395, 16429, 4948, 20881, 2140, 3392, 1012, 1037, 2381, 1997, 3025, 5970, 1006, 1041, 1012, 1043, 1012, 1010, 3025, 28711, 10077, 1007, 1010, 4544, 1010, 8249, 7242, 1010, 2030, 21434, 5994, 1996, 2132, 1010, 3300, 1998, 3356, 3108, 2064, 2036, 3073, 15774, 2000, 1037, 9280, 3697, 20014, 19761, 3508, 1012, 3025, 6322, 2007, 19817, 15395, 2389, 20014, 19761, 3508, 1010, 2926, 3697, 20014, 19761, 3508, 1010, 20014, 19761, 3508, 2005, 15330, 9367, 1006, 1041, 1012, 1043, 1012, 1010, 11806, 2729, 3131, 1007, 2030, 3188, 19817, 15395, 11439, 8029, 2024, 2036, 3264, 1012, 102, 101, 1037, 6851, 3558, 7749, 1997, 1996, 2250, 4576, 2003, 2590, 1010, 3391, 1024, 102, 101, 1996, 2846, 1997, 4367, 1997, 1996, 28711, 8560, 1024, 1996, 3395, 2323, 2022, 2583, 2000, 17010, 1996, 2132, 2067, 1998, 2059, 2830, 2061, 2008, 1996, 5413, 12817, 1996, 3108, 1012, 102, 101, 1996, 2846, 1997, 4367, 1997, 1996, 5730, 1006, 1996, 13657, 21716, 5685, 12322, 7934, 4101, 1007, 1024, 2093, 1997, 1996, 3395, 1005, 1055, 3093, 2323, 2022, 2583, 2000, 4906, 2090, 1996, 3356, 1998, 2896, 4297, 19565, 2869, 1012, 102, 101, 1996, 2946, 1998, 4338, 1997, 1996, 3356, 5730, 1998, 2896, 5730, 1010, 2559, 2926, 2005, 3471, 2107, 2004, 21510, 24435, 1044, 22571, 7361, 8523, 2401, 1006, 2019, 2104, 24844, 18349, 5669, 3356, 5730, 1007, 1010, 12702, 16989, 15222, 2050, 1006, 2019, 19470, 2135, 2235, 5730, 1007, 1010, 2030, 22307, 16989, 15222, 2050, 1006, 28616, 11475, 16206, 3672, 1997, 1996, 3356, 1998, 2896, 5730, 1007, 1012, 102, 101, 1996, 15177, 21716, 21050, 3292, 1024, 2093, 1997, 1996, 3395, 1005, 1055, 3093, 2323, 2022, 2583, 2000, 4906, 2090, 1996, 4205, 1005, 1055, 6207, 1998, 1996, 5413, 1012, 102, 101, 1996, 2946, 1998, 4338, 1997, 1996, 4416, 1998, 14412, 3686, 5816, 2000, 1996, 2946, 1997, 1996, 2677, 1012, 102, 101, 1996, 4091, 1010, 2926, 9073, 1996, 3739, 1997, 4069, 21510, 24435, 4297, 19565, 2869, 1010, 2151, 6065, 2030, 5591, 4091, 1010, 2030, 24364, 1012, 102, 101, 2116, 5579, 3001, 2031, 2042, 2764, 1999, 2019, 3947, 2000, 16014, 7669, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1010, 2164, 1996, 2522, 17830, 3600, 1030, 1011, 1030, 3393, 28006, 5579, 2291, 1010, 1996, 20014, 19761, 3508, 7669, 4094, 1006, 8909, 2015, 1007, 1010, 1998, 1996, 6670, 16613, 10450, 3556, 1012, 1996, 6670, 16613, 10450, 3556, 2003, 4567, 2013, 1996, 8089, 2008, 1996, 2946, 1997, 1996, 2918, 1997, 1996, 4416, 8092, 1996, 7669, 1997, 20014, 19761, 3508, 1012, 2009, 2003, 4340, 2011, 2559, 2012, 1996, 13336, 1997, 1996, 2677, 1010, 1998, 1999, 3327, 1996, 16476, 1997, 1996, 2918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0024714776982823917, 0.003909773871638803, 0.001341564191184874, 0.000307306227308667, 0.06673784293075018, 0.06607736897355089, 0.011100175376279919, 0.06601560825920741, 0.0002788073518639219, 0.0312714178753506, 0.09952850937066027, 0.011228846030237013, 0.000052541657952229047, 0.008296569681088257, 0.015440216874472945, 0.000018123010458293962, 0.022998158521672824, 0.000017607131243044545, 0.00040355013306123984, 0.000009474064767173008, 0.00006856610366107412, 0.09337662177145782, 0.019931994479848936, 0.0037642291884093576, 0.028579351336295564, 7.68241805644896e-9, 0.003274247748691644, 0.005366822829033707, 9.057985720040053e-7, 0.015413190312144222, 0.02091155517499016, 0.00018414806506424262, 0.016593592292693044, 0.009431833952375884, 0.12604315453478404, 0.008959101990295553, 0.0005793045783042219, 0.00020689084480741808, 0.002413086506506468, 0.0009957602638681802, 0.029053117107994752, 0.04188818212908881, 0.00496791085496296, 0.00003494752024214409, 0.000003841876575696971, 0.07372003533518563, 0.06285771108590729, 0.004554057852554552, 0.019315941821867546, 0.000004949730368245222 ]
[ 1997, 22202, 23068, 7068, 1010, 6904, 14194, 4818, 13766, 1998, 1996, 3730, 14412, 3686, 1012, 2348, 2107, 2966, 4577, 3001, 2089, 4681, 1999, 1996, 9312, 1997, 5022, 1010, 2053, 2309, 3556, 2030, 5257, 1997, 7644, 2064, 2022, 9480, 2000, 4919, 11487, 2035, 1998, 2069, 2216, 5022, 2040, 2024, 3697, 2000, 20014, 19761, 2618, 1012, 7297, 1010, 2028, 2817, 1997, 5281, 2019, 4355, 15689, 20282, 22522, 2015, 1010, 2006, 1996, 4235, 2109, 2522, 17830, 3600, 1516, 3393, 28006, 5579, 2291, 1010, 2179, 2027, 2106, 2025, 3556, 1996, 2168, 5022, 10862, 2058, 2051, 1010, 1998, 2008, 2069, 2423, 1003, 2071, 11178, 9375, 2035, 2176, 7022, 1997, 1996, 4235, 2109, 2522, 17830, 3600, 1516, 3393, 28006, 5579, 2291, 1012, 2104, 3056, 5057, 6214, 1006, 1041, 1012, 1043, 1012, 1010, 5729, 2132, 12603, 2030, 6878, 28711, 8560, 4544, 1007, 1010, 2009, 2089, 2022, 5263, 2000, 3929, 16462, 2122, 1996, 3558, 7749, 1998, 1996, 2536, 5579, 3001, 2000, 16014, 1996, 7669, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 1999, 2107, 3572, 1010, 4522, 5461, 1997, 12329, 1996, 2250, 4576, 2442, 2022, 12192, 2800, 1012, 102, 101, 102, 101, 1027, 1027, 12763, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 3227, 2641, 1996, 2190, 4118, 2005, 2250, 4576, 2968, 2104, 1037, 2898, 3528, 1997, 6214, 1010, 2004, 2009, 3640, 1996, 2087, 10539, 2965, 1997, 7722, 3370, 1998, 19536, 1998, 1996, 4602, 3014, 1997, 3860, 2114, 19723, 12514, 18557, 1998, 21908, 2004, 16781, 1012, 2174, 1010, 19817, 15395, 2389, 20014, 19761, 3508, 5942, 1037, 2307, 3066, 1997, 6612, 3325, 2000, 3040, 1998, 3809, 12763, 2089, 2765, 2130, 2043, 7919, 2864, 1012, 102, 101, 2176, 9617, 20389, 2594, 2838, 2442, 2022, 2556, 2005, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 2000, 2022, 19647, 1024, 11706, 2677, 3098, 1006, 2440, 2846, 1997, 4367, 1997, 1996, 13657, 21716, 5685, 12322, 7934, 4101, 1007, 1010, 7182, 6887, 5649, 15465, 2389, 2686, 1006, 4340, 2011, 12843, 1996, 2067, 1997, 1996, 2677, 1007, 1010, 7182, 4942, 2386, 4305, 28808, 2686, 1006, 3292, 2090, 1996, 29610, 11122, 11733, 3351, 1998, 1996, 5413, 1010, 1996, 2686, 2046, 2029, 1996, 4416, 2442, 2022, 12936, 1999, 2344, 2005, 1996, 2474, 2854, 12333, 3597, 18136, 2102, 2000, 3193, 1996, 1043, 10994, 7315, 1007, 1010, 1998, 11706, 5331, 1997, 1996, 28711, 8560, 2012, 1996, 2012, 5802, 3406, 1030, 1011, 1030, 1051, 14693, 23270, 2389, 4101, 1012, 2065, 2151, 1997, 2122, 10857, 2003, 1999, 2151, 2126, 20419, 1010, 20014, 19761, 3508, 2323, 2022, 3517, 2000, 2022, 3697, 1012, 102, 101, 3576, 12763, 2024, 2691, 2044, 2474, 18143, 12333, 3597, 7685, 1998, 23851, 1997, 2019, 20298, 6494, 5403, 2389, 7270, 1012, 2122, 2024, 4050, 1997, 2460, 9367, 1010, 2107, 2004, 14699, 3759, 1010, 12922, 28893, 1997, 1996, 2970, 2030, 16031, 2015, 2030, 2060, 5090, 2306, 1996, 3356, 2250, 4576, 1010, 9090, 5669, 1010, 21726, 2030, 4487, 14540, 7716, 5999, 4091, 1010, 1998, 19077, 4544, 1012, 2060, 12763, 2029, 2024, 2691, 2021, 9280, 2062, 3809, 2421, 14613, 2030, 12052, 12251, 1010, 2152, 2668, 3778, 1010, 8319, 26721, 26775, 27532, 1998, 17174, 15431, 3778, 1010, 1998, 22953, 12680, 2891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00005675849427530508, 0.00005920299310800795, 0.04127835150683391, 0.03615371455649754, 0.0003664836878263042, 0.0020608914475857207, 0.01163183900877217, 0.0008699972533669927, 8.530302718364934e-7, 0.01209788233729699, 0.0010594752955649669, 7.003948826349072e-9, 0.043559351154868114, 0.04230951131206688, 0.09272201113862406, 0.000019446853346586925, 0.00032507492407033334, 0.006995101115671317, 0.00003939555814391514, 0.041187685147094893, 0.002285986061593293, 0.01206133135799823, 0.043874824043029954, 0.11378941412740547, 0.00007992828021384137, 0.007885253635258018, 0.0824433428434833, 0.023315182426788966, 0.047775176627376764, 0.03498932918604889, 0.008939957266355285, 0.08137680554420254, 0.0011735074017272453, 7.003948826349072e-9, 0.0037813313940279684, 0.00034087387351759105, 0.0036246991672021665, 0.0002780741650759645, 0.00010846291814883732, 0.0018185054158534027, 0.00484390223939995, 0.0005042452905887738, 0.0076928586521798105, 0.00010442997662618666, 0.11634040293866527, 0.06477590316484902, 0.000021089083503191592, 0.0006045206549550904, 0.000004644338498709007, 0.002372977102242697 ]
[ 19707, 2213, 1012, 102, 101, 2062, 3809, 12763, 2421, 2474, 18143, 12333, 19707, 2213, 1010, 2566, 29278, 3370, 1997, 1996, 19817, 15395, 2050, 2030, 9686, 7361, 3270, 12349, 1010, 21908, 2004, 16781, 1997, 3806, 12412, 8417, 2030, 2060, 3097, 4230, 1010, 19583, 2030, 4487, 14540, 23909, 1997, 1996, 28711, 8560, 1010, 13657, 21716, 5685, 12322, 7934, 4101, 2030, 12098, 17250, 3630, 3593, 11122, 11733, 8449, 1010, 10548, 7722, 4180, 1010, 8319, 25543, 6351, 14384, 1010, 1998, 5554, 11601, 11251, 1012, 1999, 2804, 2000, 2122, 12763, 1010, 19817, 15395, 2389, 20014, 19761, 3508, 3081, 1996, 19077, 2799, 7883, 1037, 3891, 1997, 4487, 14540, 7716, 20511, 1997, 16298, 17086, 1998, 9280, 5729, 19077, 9524, 1012, 10947, 6786, 2107, 2004, 12379, 11917, 7361, 4588, 2474, 18143, 12333, 3597, 7685, 2031, 13258, 2094, 2488, 1999, 8161, 1996, 18949, 1997, 2070, 1997, 2122, 12763, 1010, 2295, 1996, 2087, 6976, 3426, 1997, 20014, 19761, 3508, 12603, 3464, 1037, 3768, 1997, 8066, 2006, 1996, 2112, 1997, 1996, 2474, 18143, 12333, 3597, 18136, 2102, 1012, 102, 101, 12763, 2089, 2036, 2022, 5729, 1998, 2146, 1030, 1011, 1030, 9879, 2030, 4568, 1010, 2107, 2004, 5554, 11601, 4053, 1010, 9686, 7361, 3270, 3351, 2389, 2566, 29278, 3370, 1998, 22307, 21890, 18143, 3351, 2389, 14689, 9623, 2015, 1010, 22953, 12680, 4818, 20014, 19761, 3508, 1010, 2030, 9113, 4544, 1012, 2027, 2089, 2130, 2022, 3202, 2166, 1030, 1011, 1030, 8701, 1010, 2107, 2004, 2474, 18143, 12333, 19707, 2213, 1998, 4997, 3778, 21908, 3968, 14545, 1006, 8331, 1999, 1996, 8948, 1007, 1010, 2004, 16781, 1010, 4895, 2890, 3597, 29076, 5422, 9686, 7361, 3270, 3351, 2389, 20014, 19761, 3508, 1010, 2030, 17128, 12532, 10087, 7542, 2030, 4487, 14540, 7716, 20511, 1997, 1996, 19817, 15395, 2389, 7270, 1012, 9280, 10611, 12763, 2062, 2411, 3378, 2007, 15330, 20014, 19761, 3508, 1998, 1013, 2030, 19817, 15395, 11439, 8029, 2421, 19470, 4807, 2090, 1996, 19817, 15395, 2050, 1998, 3518, 5090, 2107, 2004, 1996, 7601, 20936, 12556, 16749, 1006, 19817, 15395, 28765, 3630, 19269, 7345, 7068, 1007, 2030, 9686, 7361, 3270, 12349, 1006, 19817, 15395, 22504, 7361, 3270, 3351, 2389, 7345, 7068, 1007, 1012, 2060, 3278, 12763, 2421, 2250, 4576, 27208, 2349, 2000, 3279, 1997, 19817, 15395, 2389, 11841, 3012, 1010, 18834, 11733, 4263, 1030, 1011, 1030, 3378, 18583, 1998, 21978, 1997, 1996, 1043, 10994, 7315, 2030, 19817, 15395, 2050, 1012, 1996, 26450, 3778, 2003, 17785, 5362, 1999, 2344, 2000, 4468, 12763, 2013, 2058, 1030, 1011, 1030, 14200, 1010, 2116, 1997, 2029, 2064, 2022, 9551, 2000, 11664, 26450, 3778, 26996, 1996, 2668, 4425, 2000, 1996, 19817, 15395, 2389, 14163, 13186, 2050, 1012, 1037, 2456, 3009, 2817, 1997, 19475, 2566, 12690, 17191, 19817, 15395, 11439, 8029, 2988, 3452, 4012, 21557, 6165, 1997, 2184, 1516, 2321, 1003, 1998, 24508, 13356, 1997, 1014, 1003, 1010, 2029, 2003, 12435, 2000, 2216, 1997, 2060, 2186, 2988, 1999, 1996, 3906, 2013, 1996, 4549, 1998, 1996, 2142, 2163, 1012, 102, 101, 13720, 2000, 5851, 1996, 2250, 4576, 1010, 2007, 4745, 4945, 1997, 7722, 3370, 1998, 19536, 2003, 1037, 2166, 1030, 1011, 1030, 8701, 4012, 21557, 2029, 2065, 2025, 3202, 13371, 5260, 2000, 10548, 7722, 4180, 1010, 4167, 4053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.010034633198888358, 0.00948339473280299, 0.000030367220124087593, 0.01526683187037955, 0.0015746472936914227, 0.027333272906552953, 0.000388766079374488, 0.006844656538409322, 0.05092431951206007, 0.006015859489730642, 0.056002926433678726, 0.0003481459475178815, 0.005050257694733702, 0.10560377677904635, 0.003176793614487013, 0.0013174406852163637, 0.00004351136857154757, 0.005534598487905355, 0.0608461705126615, 0.03218327278822905, 0.015212301846197073, 0.0002533243434755395, 0.00025036418550366613, 0.0000632788194449209, 0.00048243399813320125, 0.03343681681319097, 0.00003231865424477232, 0.00013359190719805319, 0.07824596534705341, 0.003616538381126977, 0.000008951755338743758, 0.014149287849974167, 0.08985248269307496, 0.0003880013613336523, 0.0027707475498333833, 0.0007498121896125919, 0.00008908929939006663, 0.08499542475544095, 0.05124738234936955, 0.003252422667676776, 0.0009323900245144273, 0.010048839762776434, 0.0022884623798932495, 0.002334237432835586, 0.000005339087058764829, 0.015397463473300321, 0.03624757872485687, 0.11117410788052788, 0.04231578589868661, 0.0020216154148749096 ]
[ 1010, 22935, 7859, 1010, 1998, 2331, 1012, 2043, 2864, 24156, 2135, 1010, 1996, 3378, 12763, 1006, 1041, 1012, 1043, 1012, 1010, 4895, 2890, 3597, 29076, 5422, 9686, 7361, 3270, 3351, 2389, 20014, 19761, 3508, 1007, 2089, 2022, 5901, 10611, 1012, 2302, 11706, 2731, 1998, 3325, 1010, 1996, 18949, 1997, 2107, 12763, 2003, 2152, 1012, 1996, 2553, 1997, 4080, 4482, 8099, 1010, 2013, 14110, 8842, 1010, 13316, 2003, 1037, 4235, 2124, 2553, 1999, 2029, 1996, 5776, 2001, 24156, 2135, 20014, 19761, 3064, 1998, 1010, 2349, 2000, 1996, 3768, 1997, 7722, 1010, 4265, 5729, 4167, 4053, 1998, 2351, 1012, 2005, 2742, 1010, 2426, 11498, 7583, 6558, 1999, 2195, 2142, 2163, 3923, 4279, 1010, 4895, 2890, 3597, 29076, 5422, 9686, 7361, 3270, 3351, 2389, 2030, 1044, 22571, 7361, 8167, 6038, 3351, 2389, 20014, 19761, 3508, 2038, 2042, 2988, 2000, 2022, 1020, 1003, 2000, 2423, 1003, 1012, 2348, 2025, 2691, 1010, 2073, 3937, 5057, 2966, 20202, 2024, 7936, 2000, 20014, 19761, 2618, 1010, 2988, 3112, 6165, 2024, 2004, 2659, 2004, 4868, 1003, 1012, 1999, 2028, 2817, 1010, 3053, 2431, 1997, 5022, 2007, 28616, 22829, 19817, 15395, 2389, 10868, 2351, 1999, 1996, 5057, 2282, 1012, 2138, 1997, 2023, 1010, 3522, 6572, 1997, 1996, 2137, 2540, 2523, 1005, 1055, 11594, 2005, 4003, 3695, 14289, 13728, 7856, 2854, 24501, 2271, 26243, 3370, 2031, 2139, 1030, 1011, 1030, 13155, 1996, 2535, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1999, 5684, 1997, 2060, 2250, 4576, 2968, 5461, 2107, 2004, 4524, 1030, 1011, 1030, 10764, 1030, 1011, 1030, 7308, 19536, 1010, 1996, 2474, 18143, 3351, 2389, 7308, 2250, 4576, 1998, 1996, 22863, 4183, 12083, 2063, 1012, 102, 101, 2028, 4012, 21557, 1517, 4895, 18447, 4765, 19301, 1998, 4895, 2890, 3597, 29076, 5422, 20014, 19761, 3508, 1997, 1996, 9686, 7361, 3270, 12349, 1517, 2003, 2119, 2691, 1006, 2004, 6976, 2004, 2423, 1003, 1999, 1996, 2398, 1997, 26252, 5073, 1007, 1998, 3497, 2000, 2765, 1999, 1037, 3972, 15141, 6313, 2030, 2130, 10611, 9560, 1012, 1999, 2107, 3572, 1010, 7722, 2003, 21089, 8564, 2000, 1996, 4308, 1010, 2013, 2073, 2009, 3685, 2022, 2579, 2039, 2011, 1996, 25022, 11890, 20350, 2100, 2291, 1010, 2612, 1997, 1996, 8948, 1012, 2065, 2023, 3663, 2003, 2025, 3202, 4453, 1998, 13371, 1010, 2331, 2097, 4372, 6342, 2063, 2013, 18439, 1998, 15050, 2019, 11636, 2401, 1012, 102, 101, 1997, 1018, 1030, 1010, 1030, 17267, 4447, 1999, 1996, 2137, 2554, 1997, 2019, 4355, 15689, 20282, 22522, 2015, 1006, 17306, 1007, 2701, 4447, 2622, 7809, 1010, 25162, 1006, 3155, 1020, 1003, 1007, 2020, 2005, 2250, 4576, 4544, 1012, 1997, 2122, 25162, 3572, 1010, 6584, 1003, 1997, 1996, 6441, 2020, 5741, 1010, 1019, 1003, 2020, 4568, 2030, 4487, 3736, 9709, 1010, 1998, 1022, 1003, 4504, 1999, 2331, 1012, 3697, 20014, 19761, 3508, 1010, 2287, 3080, 2084, 3438, 2086, 1010, 1998, 2931, 5907, 2020, 3378, 2007, 4447, 2005, 2566, 29278, 3370, 1997, 1996, 9686, 7361, 3270, 12349, 2030, 6887, 5649, 26807, 1012, 2220, 5751, 1997, 2566, 29278, 3370, 2020, 2556, 1999, 2069, 4868, 1003, 1997, 2566, 29278, 3370, 4447, 1010, 6168, 2397, 8297, 6679, 4158, 1999, 3515, 1003, 1012, 102, 101, 102, 101, 1027, 1027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ]
[ 0.02369855786142453, 0.00028162872444175563, 0.03713999417470283, 2.607931822989351e-7, 0.03176704034416043, 0.0036056483508958436, 0.0044143417580441695, 0.000515488494311157, 0.0008720122959121412, 0.05883608925881972, 0.0003229975162387774, 7.504912903610363e-9, 0.036089811355879825, 0.010418511589194733, 0.012203620986841269, 0.00195322069059512, 0.0017621767008688853, 0.00042775206263975064, 0.000028423883205124184, 4.518066318161505e-8, 0.000028574166415963334, 0.027403687262023326, 0.06151014724465688, 0.05648922423419768, 0.03711795741818168, 0.0013784539600544294, 0.01578889567469305, 0.00002073248478215488, 0.01080731447720196, 0.024495066127387895, 0.001933696979422106, 0.007664097882473054, 0.020460222152906854, 0.06563571328327945, 0.00007776963699038422, 0.03619405675155702, 0.14935123448888937, 0.007901872551105788, 0.01295221227645453, 0.0072229294506435185, 0.007562619117254865, 0.00024529042977447285, 0.01762140840446075, 0.0452164093563424, 0.03370316283761332, 0.0000061081019862412776, 0.08154022473290069, 0.00005915285292696718, 0.015764842778045924, 0.02950929335844266 ]
[ 15955, 1027, 1027, 102, 101, 102, 101, 2348, 2009, 4107, 1996, 4602, 3014, 1997, 3860, 2114, 19723, 12514, 18557, 1998, 21908, 2004, 16781, 1010, 19817, 15395, 2389, 20014, 19761, 3508, 2003, 2025, 1996, 2069, 2965, 2000, 5441, 1037, 7353, 2250, 4576, 1012, 4522, 5461, 2005, 2250, 4576, 2968, 1998, 6959, 1997, 7722, 1010, 20606, 2019, 4355, 20086, 2015, 2030, 2060, 5505, 15865, 2421, 1996, 2474, 18143, 3351, 2389, 7308, 2250, 4576, 1010, 1045, 1030, 1011, 1030, 21500, 1010, 26450, 2098, 20298, 21890, 18143, 3351, 2389, 2250, 4576, 1010, 7142, 3893, 2250, 4576, 3778, 1006, 18133, 9331, 7308, 1007, 1010, 19077, 12170, 4502, 2361, 7308, 1010, 3722, 2227, 7308, 1010, 1998, 19077, 2064, 11231, 2721, 1012, 102, 101, 2236, 2019, 25344, 2003, 2411, 8564, 2302, 19817, 15395, 2389, 20014, 19761, 3508, 1999, 3479, 3572, 2073, 1996, 7709, 2003, 4766, 1999, 9367, 1010, 2030, 8853, 2073, 1996, 5995, 1997, 2019, 25344, 2003, 2025, 7182, 2000, 3426, 3278, 12014, 1999, 18834, 11733, 7062, 3853, 1012, 2130, 2005, 2936, 9367, 2030, 2062, 17503, 8853, 1010, 1037, 2236, 2019, 4355, 20086, 2089, 2022, 8564, 2302, 20014, 19761, 3436, 1996, 19817, 15395, 2050, 1010, 3024, 2008, 5022, 2024, 5362, 3479, 1010, 1998, 1996, 3891, 1030, 1011, 1030, 5770, 6463, 2003, 11119, 1006, 1045, 1012, 1041, 1012, 1010, 1996, 10831, 3378, 2007, 2019, 4895, 21572, 26557, 3064, 2250, 4576, 2024, 3373, 2000, 2022, 2625, 2084, 1996, 10831, 1997, 20014, 19761, 3436, 1996, 19817, 15395, 2050, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 19817, 15395, 11439, 8029, 102, 101, 1996, 5700, 2124, 15921, 1997, 1037, 19817, 15395, 11439, 8029, 2003, 2179, 2006, 2048, 6811, 17596, 5306, 2067, 2000, 2105, 9475, 2692, 4647, 1012, 1996, 7287, 1030, 1011, 1030, 3931, 1041, 17198, 29575, 1010, 2019, 6811, 2966, 29575, 2029, 5246, 2000, 5560, 26245, 4647, 1010, 2036, 3084, 4431, 2000, 1996, 19817, 15395, 11439, 8029, 1012, 19817, 15395, 11439, 8029, 2001, 2649, 1999, 1996, 19838, 28614, 1010, 1037, 11353, 3793, 1997, 1037, 10513, 2099, 7178, 2594, 4200, 2517, 2105, 2456, 4647, 1999, 3418, 2634, 1012, 1996, 10514, 4095, 22134, 2050, 3520, 23935, 2013, 2105, 4278, 4647, 2003, 2178, 3793, 2013, 1996, 2796, 26125, 2006, 1037, 10513, 2099, 7178, 2594, 4200, 1998, 5970, 2008, 9704, 19817, 15395, 11439, 8029, 1012, 2004, 14321, 19312, 6155, 1997, 2978, 10536, 6200, 1006, 1039, 1012, 13412, 1516, 2871, 4647, 1007, 2003, 2411, 5827, 2004, 2108, 1996, 2034, 7522, 2000, 4685, 1037, 2512, 1030, 1011, 1030, 5057, 19817, 15395, 11439, 8029, 1012, 21062, 1997, 2566, 22864, 2239, 1006, 4748, 14378, 1516, 20713, 1007, 20485, 1996, 13336, 1997, 1996, 19817, 15395, 2050, 1998, 2001, 1996, 2034, 2000, 10580, 2008, 1996, 2474, 18143, 2595, 19421, 1996, 2376, 1012, 1999, 2028, 1997, 2010, 7885, 1010, 21062, 2109, 4330, 15568, 2000, 1999, 10258, 3686, 1996, 8948, 1997, 1037, 2757, 4111, 1012, 7839, 8254, 2050, 1006, 25195, 1516, 9800, 2581, 1007, 2649, 1996, 2224, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 2000, 10956, 5505, 1999, 9402, 2629, 1999, 2010, 2403, 1030, 1011, 1030, 3872, 2966, 12204, 1010, 1996, 9330, 1997, 4200, 1012, 1999, 1996, 5940 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0029804717650336616, 0.00008371948482640093, 0.05198694157909263, 0.01584003732309882, 0.0066863213125315625, 0.003550353654102397, 0.05963836219260036, 0.019815458580713898, 0.0014558746513563764, 0.00017072977768748022, 0.00003753563403840755, 0.03465866699968868, 0.000008636580759628012, 6.572066155733064e-9, 6.572066155733064e-9, 0.012422407823696243, 0.00408367476120527, 0.0039680962985604385, 0.0014158965637221035, 0.07220103888284336, 0.0006590693245682696, 0.00040709296871719295, 2.8893494901179533e-8, 0.009887302814487586, 0.00000863506071954332, 0.01022185914178608, 0.00007613409015912923, 0.00010233697843275081, 0.08593952692070743, 0.012338204352125048, 0.00004007572437027749, 0.00020486067985230297, 0.026517137986995405, 0.004759945983248972, 0.057691794251997074, 0.053397787018052964, 0.03229612702122844, 0.027018565507164173, 0.004989475715865973, 0.004476066913905938, 0.000008864785821747807, 0.043444581171977234, 0.11449477575452668, 0.000003280002453775389, 0.0003246028766342387, 0.00003399240312867709, 0.0006674314099616984, 0.05692506257631311, 0.038318848879702036, 0.12374229578191129 ]
[ 2301, 2966, 16432, 2632, 1030, 1011, 1030, 13843, 29481, 1010, 7839, 16950, 8093, 1006, 11518, 2475, 1516, 12904, 2475, 1007, 1517, 2036, 2124, 2004, 13642, 25650, 2906, 1517, 1997, 2632, 1030, 1011, 1030, 1998, 2389, 2271, 3024, 1037, 6149, 6412, 1997, 1996, 19817, 15395, 11439, 8029, 3169, 1012, 102, 101, 1996, 2034, 6851, 13271, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1998, 4745, 7976, 24501, 16781, 1997, 4176, 2020, 2013, 12460, 2310, 12002, 4173, 1006, 16528, 2549, 1516, 16734, 2549, 1007, 1997, 9371, 1012, 1999, 2010, 8637, 2338, 2405, 1999, 16666, 2509, 1010, 2139, 2529, 2072, 13058, 21239, 8313, 2050, 1010, 2002, 2649, 2019, 7551, 1999, 2029, 2002, 2979, 1037, 7305, 2046, 1996, 19817, 15395, 2050, 1997, 1037, 5996, 4111, 3005, 15321, 8528, 2018, 2042, 2441, 1998, 5224, 19536, 2011, 11221, 2046, 1996, 7305, 23852, 2135, 1012, 4980, 23154, 8782, 11431, 6030, 1006, 17332, 2692, 1516, 14168, 2549, 1007, 1997, 28635, 5147, 5845, 1037, 5776, 6114, 2013, 2566, 9956, 3619, 9386, 2099, 14689, 9623, 2015, 2011, 19817, 15395, 11439, 8029, 1012, 8782, 11431, 6030, 2405, 2010, 4070, 1999, 16666, 2575, 1025, 2023, 3169, 2038, 2042, 4453, 2004, 1996, 2034, 2680, 3144, 19817, 15395, 11439, 8029, 1010, 2750, 1996, 2116, 3025, 7604, 2000, 2023, 3169, 1012, 2875, 1996, 2203, 1997, 1996, 5767, 2301, 1010, 7632, 26534, 24335, 2271, 8313, 4173, 1006, 16710, 2509, 1516, 17365, 2683, 1007, 2649, 1037, 6179, 6028, 2005, 19817, 15395, 11439, 8029, 1999, 2010, 7896, 1010, 2348, 2002, 2018, 2196, 2941, 2864, 1996, 3169, 2370, 1012, 8313, 4173, 2001, 1996, 2034, 2000, 8970, 1996, 2801, 1997, 1037, 19817, 15395, 14122, 16940, 7270, 1012, 1999, 24259, 1996, 2413, 9431, 6141, 5292, 13592, 4140, 1006, 26245, 1516, 28531, 1007, 2405, 1037, 3189, 1997, 2176, 3144, 19817, 15395, 11439, 28397, 1012, 1999, 25241, 1010, 9617, 20389, 2923, 12062, 20010, 11783, 2075, 1006, 16785, 2487, 1516, 24522, 1007, 1997, 1996, 2118, 1997, 20996, 14758, 2864, 1037, 19817, 15395, 11439, 8029, 2006, 1037, 14759, 6778, 1012, 102, 101, 2750, 1996, 2116, 2680, 12107, 1997, 2049, 2224, 2144, 16433, 1010, 2009, 2001, 2025, 2127, 1996, 2220, 3708, 2301, 2008, 1996, 19817, 15395, 11439, 8029, 2633, 2211, 2000, 2022, 3858, 2004, 1037, 11476, 2965, 1997, 12318, 5729, 2250, 4576, 27208, 1012, 1999, 8784, 1010, 2413, 7522, 20371, 19817, 3560, 17310, 2226, 1006, 12410, 1516, 7517, 1007, 3591, 1037, 2186, 1997, 18582, 19817, 15395, 11439, 28397, 2000, 1996, 19669, 4461, 2063, 2139, 19960, 28191, 2063, 1012, 17696, 1997, 2122, 2020, 2864, 2005, 1996, 3949, 1997, 13675, 7140, 2361, 1010, 1998, 2340, 2020, 2864, 2005, 1000, 11888, 28935, 18389, 1997, 1996, 2474, 18143, 2595, 1000, 1012, 2090, 9500, 1998, 8492, 1010, 2062, 2084, 8698, 19817, 15395, 11439, 28397, 2020, 2864, 1999, 3000, 1010, 2087, 1997, 2068, 2012, 1996, 6154, 18400, 4078, 4372, 15143, 3215, 28935, 6155, 1010, 1037, 2270, 2902, 1010, 2007, 2019, 3452, 7691, 3446, 1997, 2069, 2322, 1516, 2423, 1003, 1012, 2023, 22963, 2007, 5388, 1003, 1997, 1996, 2484, 5022, 1999, 19817, 3560, 17310, 2226, 1005, 1055, 2797, 3218, 1010, 2040, 13258, 2094, 2488, 2349, 2000, 3618, 2695, 25918, 8082, 2729, 1012, 102, 101, 1999, 7428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0.0002835857991576592, 0.01582958523990574, 0.000046976460653718836, 0.132832211510272, 0.05940670214243275, 0.023355329025193574, 0.00002648273083273131, 0.025615994472917847, 0.01947395063937506, 0.06244290897159633, 0.00005677257623268666, 0.00003055299510491582, 0.002779859001718934, 0.04244191407117586, 0.04657185177688583, 0.0072493684904153186, 0.011798217773196677, 0.004870271389601565, 0.048240908534238694, 0.00889020804974136, 0.022012508346740588, 0.0016755431395849437, 0.0002562564239916457, 0.09321759216611725, 0.04390598462515439, 0.00905392034788703, 0.06880673972823546, 0.0000045545415111610266, 0.021491927155149942, 0.000010656069388700216, 0.000281628132089831, 0.007766877694937869, 0.01378242962215049, 0.011299789943677026, 0.00041492015720192833, 0.004277047990008346, 6.220948172037285e-9, 0.023826554479708845, 0.016562400049047087, 0.00043788739307999794, 0.0002575117291251542, 0.047459069577903364, 0.0008056725597503111, 0.0009454891766212957, 0.003102595671850394, 0.000016278372815911683, 0.018329143238136166, 0.017364818394703444, 0.01211346509255848, 0.048277080309275654 ]
[ 1010, 1996, 2446, 9431, 8896, 9874, 12260, 22642, 1006, 9730, 1516, 4814, 1007, 2405, 1037, 3259, 7851, 1996, 2034, 3144, 11322, 3512, 2529, 19817, 15395, 11439, 8029, 2000, 2022, 2864, 2005, 1996, 3800, 1997, 3447, 1997, 2236, 2019, 25344, 1012, 1999, 6690, 1010, 2909, 2062, 3363, 11407, 1006, 9713, 1516, 6527, 1007, 2405, 1037, 2338, 10537, 1996, 24936, 2005, 19817, 15395, 11439, 8029, 1012, 1999, 1996, 2220, 3983, 2301, 1010, 19817, 15395, 11439, 8029, 2150, 1037, 2166, 1030, 1011, 1030, 7494, 3949, 2005, 5022, 21358, 29301, 2098, 2007, 11498, 2135, 4588, 14955, 18994, 6672, 15909, 2483, 2040, 3223, 6228, 19536, 1012, 1999, 5556, 1010, 4407, 2474, 18143, 24141, 22522, 22019, 4027, 1006, 6725, 1516, 3845, 1007, 2649, 1037, 6028, 2005, 19817, 15395, 11439, 8029, 2008, 2003, 2109, 2000, 2023, 2154, 1012, 102, 101, 2474, 18143, 12333, 3597, 7685, 1998, 2512, 1030, 1011, 1030, 11707, 5461, 102, 101, 1999, 8421, 1010, 1037, 3009, 4823, 3836, 2315, 7762, 7439, 1006, 13126, 1516, 5518, 1007, 2150, 1996, 2034, 2158, 2000, 3193, 1996, 12285, 1043, 10994, 7315, 1999, 1037, 2542, 2529, 1012, 1999, 8517, 1010, 2413, 23614, 2937, 8207, 8945, 10875, 4904, 1006, 12094, 1516, 6607, 1007, 2764, 1037, 2047, 6028, 2005, 2512, 1030, 1011, 1030, 11707, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 2000, 11826, 2474, 18143, 3351, 2389, 27208, 4525, 2013, 1037, 16510, 11039, 5886, 2401, 1030, 1011, 1030, 3141, 18404, 4168, 14905, 18053, 1012, 1999, 6756, 1010, 4104, 9431, 2520, 19382, 12449, 1006, 7993, 1516, 4814, 1007, 2988, 2006, 2010, 2224, 1997, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 2004, 2019, 4522, 2000, 19817, 15395, 11439, 8029, 2000, 3499, 1037, 5776, 2007, 1043, 10994, 4588, 3968, 14545, 2000, 7200, 1010, 2004, 2092, 2004, 1999, 1996, 4292, 1997, 2236, 2019, 25344, 2007, 10381, 10626, 11253, 2953, 2213, 1012, 1999, 6301, 1010, 6152, 11382, 12096, 12377, 1006, 6899, 1516, 4798, 1007, 1997, 4068, 2034, 2649, 3622, 5107, 3989, 1997, 1996, 5554, 24551, 1010, 2478, 2019, 9686, 7361, 3270, 12333, 16186, 2002, 2018, 6310, 2005, 2023, 3800, 1025, 2002, 2170, 2023, 5080, 2019, 8285, 26127, 1012, 102, 101, 1999, 5124, 1010, 22019, 4027, 2001, 1996, 2034, 2000, 3189, 1037, 2152, 3446, 1997, 3112, 2005, 1996, 2224, 1997, 3622, 2474, 18143, 12333, 3597, 7685, 2004, 1037, 2965, 2000, 20014, 19761, 2618, 1996, 19817, 15395, 2050, 1012, 4027, 3107, 1037, 2047, 2474, 18143, 12333, 16186, 6085, 2008, 5100, 1037, 6922, 2008, 1996, 6872, 2071, 7358, 2041, 2000, 3499, 2282, 2005, 6019, 1997, 2019, 2203, 4140, 22648, 20192, 2140, 7270, 2030, 22953, 12680, 2891, 16186, 1012, 2036, 1999, 5124, 1010, 2047, 2259, 9431, 2888, 1044, 1012, 4869, 4576, 1006, 7612, 1516, 4885, 1007, 2405, 3463, 2002, 2018, 4719, 2478, 1037, 2474, 18143, 12333, 16186, 2002, 2018, 3728, 2764, 1012, 2178, 7156, 1999, 2023, 2492, 2001, 2909, 7332, 12461, 5178, 23848, 8591, 1006, 6690, 1516, 3069, 1007, 1010, 2040, 2764, 1996, 6028, 1997, 8300, 6397, 17235, 4140, 22648, 20192, 2140, 20014, 19761, 3508, 1010, 1996, 23848, 8591, 2486, 4523, 1010, 1996, 23848, 8591, 2474, 18143, 12333, 16186, 6085, 1010, 1998, 2195, 10439, 25879, 2072, 2005, 1996, 3447, 1997, 20606, 2019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.033938922033190023, 0.0041246655990967145, 0.00042801046022616375, 0.04260318894905169, 0.023520872707040924, 0.010374613480326656, 0.00010034178079880625, 0.0008844837250297635, 0.08290548718067371, 0.022491750726856972, 0.000025587846143754137, 0.00009825001776456971, 0.0010500706324326444, 0.06263551996223339, 0.00032553634336233777, 0.002059770855319073, 0.0875610378968152, 0.001042331332003613, 0.0014152572550392272, 0.0344225606591565, 0.04658148685595902, 0.028482255292637572, 0.0002485691712937444, 0.002106303513923096, 0.000049557283578909846, 0.045652206114168564, 0.01944629814943184, 0.00007011890784271559, 0.02112907202217278, 3.8725423382603297e-7, 0.06476834785968887, 0.06100639956378846, 0.05327738181703751, 0.000005878763224916003, 0.0005325158969430219, 0.04891324235313483, 0.0002524958429062362, 0.000022456098620778763, 0.000005610816682999949, 0.00032266647404048427, 0.00009131365063830004, 0.003474248847890057, 0.08047250915879786, 0.0001949191536783892, 0.0032178364420222144, 0.0636298811308876, 0.008000513142426374, 0.03595227251221261, 0.00007582268834635705, 0.000009173779228171822 ]
[ 4355, 20086, 6074, 1012, 1996, 23848, 8591, 7774, 1997, 2019, 2203, 4140, 22648, 20192, 2140, 7270, 2003, 2036, 2315, 2005, 23848, 8591, 1012, 2909, 2728, 9579, 22228, 1006, 6347, 1516, 2960, 1007, 3107, 1037, 9203, 2474, 18143, 12333, 16186, 6085, 1999, 3826, 1025, 1996, 22228, 6085, 3464, 2000, 2023, 2154, 1996, 2087, 4235, 2109, 2474, 18143, 12333, 16186, 6085, 2005, 20298, 6494, 5403, 2389, 20014, 19761, 3508, 1012, 102, 101, 2090, 3386, 1998, 3999, 1010, 9380, 6145, 2328, 2588, 1996, 3041, 2147, 1997, 18466, 8040, 10606, 21222, 1006, 6690, 1516, 3380, 1007, 1010, 4975, 1996, 2034, 3806, 13181, 28727, 6906, 1012, 1999, 3546, 1010, 9380, 11917, 2974, 2001, 4162, 2000, 2028, 1997, 2122, 2220, 3806, 13181, 28727, 24140, 2000, 3965, 1996, 2034, 12379, 11917, 7361, 4588, 2203, 2891, 16186, 1012, 3322, 2109, 1999, 3356, 21025, 2203, 2891, 3597, 7685, 1010, 2023, 5080, 2001, 2034, 2109, 2005, 2474, 18143, 12333, 3597, 7685, 1998, 19817, 15395, 2389, 20014, 19761, 3508, 2011, 2848, 7104, 1010, 2019, 2394, 2019, 4355, 27065, 2923, 1010, 1999, 3476, 1012, 1996, 4145, 1997, 2478, 1037, 2806, 2102, 2005, 6419, 2030, 25620, 20298, 6494, 5403, 2389, 10868, 2001, 3107, 2011, 10346, 18100, 2638, 1998, 13970, 4523, 4048, 2243, 1999, 3301, 1010, 2478, 1037, 2430, 2310, 18674, 4937, 27065, 2121, 1012, 102, 101, 2011, 1996, 3054, 1030, 1011, 1030, 3865, 1010, 1996, 12379, 11917, 7361, 4588, 22953, 12680, 2891, 16186, 2018, 2468, 2019, 27427, 2483, 11837, 19150, 6602, 2306, 1996, 16405, 13728, 17175, 6483, 1998, 2019, 25344, 4279, 1012, 1996, 3617, 4329, 1997, 1996, 7398, 2301, 2038, 2716, 10947, 2974, 2000, 1996, 2396, 1998, 2671, 1997, 19817, 15395, 2389, 20014, 19761, 3508, 1012, 2195, 8712, 2031, 2764, 2678, 2474, 18143, 12333, 16186, 2015, 2029, 12666, 3617, 2974, 2107, 2004, 1996, 4642, 2891, 3161, 22138, 13617, 1006, 4642, 2891, 9706, 2015, 1007, 2000, 9699, 1037, 3193, 1997, 1996, 1043, 10994, 7315, 2061, 2008, 1996, 19817, 15395, 2050, 2089, 2022, 20014, 19761, 3064, 1012, 102, 101, 102, 101, 102, 101, 1027, 5374, 2799, 3963, 2549, 1027, 102, 101, 102, 101, 5374, 2799, 3963, 2549, 1006, 9108, 3963, 2549, 1007, 2003, 1037, 2110, 3307, 1999, 1996, 1057, 1012, 1055, 1012, 2110, 1997, 5374, 1012, 2124, 2004, 3235, 9678, 2332, 3781, 1012, 3307, 1010, 1996, 3307, 3216, 1020, 1030, 1012, 1030, 5187, 2661, 1006, 2184, 1030, 1012, 1030, 4868, 2463, 1007, 2013, 2789, 3927, 2012, 1996, 2212, 1997, 3996, 6192, 1999, 2835, 8242, 2264, 2000, 9108, 10332, 1999, 17595, 3511, 1012, 9108, 3963, 2549, 2003, 1037, 2176, 1011, 2000, 2416, 1030, 1011, 1030, 4644, 4055, 3307, 2008, 8539, 1996, 2642, 3159, 2577, 1005, 1055, 2221, 4279, 1997, 2835, 8242, 1010, 2455, 7840, 1010, 8904, 4232, 2368, 1010, 1998, 17595, 3511, 1012, 1996, 3307, 2001, 3833, 2247, 1996, 2157, 1997, 2126, 1997, 1996, 4704, 2899, 1010, 6222, 1998, 24889, 3751, 2737, 1006, 25610, 1004, 1037, 1007, 1999, 1996, 2220, 7675, 1012, 1999, 1996, 2397, 4856, 1998, 2220, 4120, 1010, 9108, 3963, 2549, 2366, 2004, 1037, 5741, 16972, 1997, 1057, 1012, 1055, 1012, 2799, 2753, 1006, 2149, 2753, 1007, 2096, 1996, 1057, 1012, 1055, 1012, 3307, 1005, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000001340690261727032, 0.0004428936685669141, 0.05077685006062808, 0.000023469440863922122, 0.00048601374293640823, 0.000020928755335276517, 0.00006179636378787586, 0.05534730865370381, 0.01460204597817513, 0.00556242062426736, 0.01830204468583013, 0.007565654335174684, 0.006702676722443651, 0.03209272292625479, 0.1524203468426899, 0.00315726147553144, 0.0444720581844902, 0.0018145493767101034, 0.000008976827155423946, 0.000007300995964420265, 0.12077088552275236, 0.03416174599690548, 0.008267882419041233, 0.000010861930271392728, 0.000013543782380803992, 8.860408142416183e-7, 0.0797075878398995, 0.0000513094743140594, 0.0008007960494827776, 0.017228759209143237, 0.08540042045533205, 0.00003406016620145887, 0.1319016099360232, 0.007302063494147799, 0.002944514546452977, 0.018190193388435087, 0.0001295500016971413, 0.00019857794404086032, 0.015317074762875183, 0.001452422477503209, 0.0013047335308681088, 0.00003571239109628932, 0.013297787338488009, 7.615792411777603e-9, 0.004915965846842455, 0.007202692037987819, 0.051742443857686345, 0.000035734129533254295, 0.0026046826033527624, 0.0011068348598673907 ]
[ 10846, 2001, 2104, 2810, 2013, 2899, 2000, 17595, 3511, 1012, 1996, 2799, 2001, 4423, 2000, 1037, 4055, 3307, 2090, 2835, 8242, 1998, 2149, 2753, 1999, 1996, 2397, 4120, 1998, 2220, 3955, 1012, 9108, 3963, 2549, 2001, 2949, 2004, 1037, 4055, 3307, 2043, 1996, 4664, 2264, 1997, 2149, 2753, 2001, 4423, 1999, 1996, 2397, 4134, 1012, 102, 101, 102, 101, 1027, 1027, 2799, 6412, 1027, 1027, 102, 101, 102, 101, 9108, 3963, 2549, 4269, 2012, 2019, 6840, 2007, 2789, 3927, 2379, 1996, 2789, 3420, 1997, 1996, 2212, 1997, 3996, 1012, 1996, 3307, 4247, 2148, 2004, 6191, 4103, 2395, 1010, 2029, 4641, 2148, 2646, 2670, 3927, 1998, 2264, 9424, 2395, 1012, 9108, 3963, 2549, 4641, 4794, 2004, 1037, 2416, 1030, 1011, 1030, 4644, 4055, 3307, 2083, 1996, 2103, 1997, 2835, 8242, 1010, 2073, 1996, 3307, 17349, 18403, 2346, 2012, 14648, 26540, 1012, 18403, 2346, 5260, 2000, 2358, 1012, 5487, 1005, 1055, 2277, 1010, 2029, 2003, 2036, 2124, 2004, 1996, 18403, 4970, 1012, 2044, 2975, 1996, 2103, 1010, 1996, 2110, 3307, 7821, 6644, 3589, 1998, 17349, 6458, 2346, 2012, 2019, 20658, 6466, 1012, 9108, 3963, 2549, 5235, 2083, 2455, 7840, 1010, 2073, 1996, 3307, 20811, 2015, 4937, 14162, 3589, 1998, 6010, 9108, 16798, 1006, 2455, 7840, 2346, 1007, 2012, 1037, 2440, 25133, 19213, 8989, 1012, 1996, 3307, 4247, 2083, 1996, 2103, 1997, 8904, 4232, 2368, 1010, 2073, 1996, 3307, 17349, 12098, 2094, 7184, 12098, 22117, 5686, 2346, 1998, 7821, 2058, 7553, 5345, 1998, 1045, 1030, 1011, 1030, 29302, 1006, 3007, 5583, 4576, 1007, 2302, 3229, 1012, 9108, 3963, 2549, 9010, 2000, 2176, 10914, 2153, 2090, 12098, 2094, 7184, 12098, 22117, 5686, 2346, 1998, 1996, 2274, 1030, 1011, 1030, 13276, 7704, 25133, 19213, 8989, 2012, 2149, 2753, 1006, 2198, 17179, 3307, 1007, 1010, 2029, 2003, 2036, 27121, 1045, 1030, 1011, 1030, 5354, 2629, 1012, 1996, 8989, 2950, 1037, 3622, 13276, 2000, 20055, 1045, 1030, 1011, 1030, 5345, 1998, 1045, 1030, 1011, 1030, 29302, 2646, 6222, 1025, 1996, 13276, 2000, 24717, 2149, 2753, 2003, 2109, 2000, 3229, 19751, 1045, 1030, 1011, 1030, 5345, 1998, 1045, 1030, 1011, 1030, 29302, 2646, 6713, 1012, 9108, 3963, 2549, 4247, 4794, 2004, 1037, 2416, 1030, 1011, 1030, 4644, 3307, 2408, 13852, 2940, 3589, 1998, 2310, 2545, 2264, 2077, 4285, 2049, 2789, 7342, 2012, 9108, 10332, 1006, 24889, 2346, 1007, 1999, 17595, 3511, 1012, 102, 101, 9108, 3963, 2549, 2003, 1037, 2112, 1997, 1996, 2120, 3307, 2291, 2004, 1037, 4054, 25543, 2013, 2149, 2753, 2000, 9108, 10332, 1999, 17595, 3511, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 9108, 3963, 2549, 4076, 1996, 4704, 2157, 1997, 2126, 1997, 1996, 11984, 25610, 1004, 1037, 2737, 1010, 2019, 6970, 3126, 8193, 4296, 2008, 2443, 1037, 2167, 1516, 2148, 2240, 2090, 2899, 1998, 6222, 1998, 1037, 3589, 2000, 24889, 2013, 3987, 2914, 5098, 1999, 24040, 15104, 1012, 2810, 2006, 1996, 3751, 2737, 2211, 1999, 5774, 1998, 2326, 2211, 2090, 1996, 2093, 3655, 1999, 5316, 1012, 1996, 25610, 1004, 1037, 2253, 2046, 19278, 5605, 1999, 4739, 1998, 3844, 2091, 1999, 4437, 1012, 1996, 5374, 2110, 4925, 3222, 4991, 1996, 4704 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0028568922866455343, 0.00001781839486977111, 0.0005770435825578398, 0.028283021370728866, 0.00004663320706881026, 0.10168795800798007, 0.00034883374261804117, 0.007168564911290267, 0.01311228541733252, 0.08983466600709812, 0.00001074089718393572, 0.1265866547266744, 0.00005649726425927033, 0.06805215441108133, 0.00021685959152347966, 0.04510266218643661, 0.00008206806904581906, 8.257136812569091e-7, 0.0003015476013866762, 0.00029558563176053365, 8.984076174186064e-9, 0.00010213236552631592, 0.003916194928034717, 0.0000028347099211781366, 0.0023600244577659996, 0.005806177524053518, 0.014969040516467361, 0.012442974735905929, 0.004334425776896613, 0.13385517793174526, 0.00047320972963155536, 0.03057123206165163, 0.048182410958775075, 0.005918230888856525, 0.0009026723074932262, 0.0033639325675671305, 0.00957334902084718, 0.0003763056457656752, 0.0017042224331230412, 0.0059266905566294865, 0.006743875362542875, 0.004036080460032254, 0.09243314134273783, 0.000008160739802289314, 0.1223472343664245, 0.00145271046212815, 0.0021287210573706365, 0.0005406662104082203, 0.00011990705871322023, 0.0007689418178833141 ]
[ 4296, 2157, 1997, 2126, 2046, 1037, 2048, 1030, 1011, 1030, 4644, 3307, 2013, 1996, 2212, 1997, 3996, 2240, 2000, 2149, 2753, 1006, 2085, 9108, 10332, 1007, 2379, 17595, 3511, 2090, 3758, 1998, 3646, 1012, 1996, 25610, 1004, 1037, 2018, 1037, 3940, 1997, 7227, 7346, 2408, 2049, 2157, 1997, 2126, 1012, 1996, 4970, 2346, 2958, 1999, 2835, 8242, 1010, 2029, 3344, 2054, 2001, 2059, 9108, 4229, 2683, 1998, 2003, 2085, 18403, 2346, 2408, 1996, 4296, 1010, 2001, 3718, 1025, 1996, 5098, 2001, 19723, 13662, 2094, 2004, 2019, 6840, 2007, 1996, 2047, 3307, 1012, 1999, 3646, 1010, 1996, 2162, 2537, 2604, 9362, 1996, 6110, 1997, 9108, 16798, 1005, 1055, 2958, 2408, 1996, 4704, 4296, 2004, 2028, 1997, 1996, 2261, 2512, 1516, 2162, 1030, 1011, 1030, 3947, 3307, 3934, 20892, 6787, 2076, 2088, 2162, 2462, 1012, 2810, 2006, 1996, 2047, 3886, 1030, 1011, 1030, 1998, 1030, 1011, 1030, 5509, 2958, 2211, 1999, 2397, 3646, 1998, 2001, 2949, 2011, 3918, 1012, 3229, 2090, 1996, 3694, 1030, 1011, 1030, 5459, 10292, 2012, 1996, 9108, 16798, 1516, 9108, 3963, 2549, 5098, 2001, 3081, 1037, 3940, 1997, 2048, 1030, 1011, 1030, 2126, 24943, 1012, 102, 101, 9108, 3963, 2549, 2001, 2315, 2005, 2577, 1050, 1012, 8809, 1010, 1037, 13448, 1998, 2451, 3003, 1999, 2835, 8242, 1010, 2011, 4131, 1012, 2198, 17179, 3307, 2001, 3833, 2013, 2149, 19123, 1999, 14598, 2225, 2000, 9108, 3963, 2549, 2090, 4051, 1998, 3890, 1012, 9108, 3963, 2549, 2001, 4423, 2000, 1037, 4055, 3307, 2083, 1996, 3307, 1005, 1055, 8989, 2007, 1996, 10846, 2004, 2112, 1997, 1996, 2810, 1012, 1999, 2804, 2000, 1996, 2783, 2275, 1997, 24943, 1010, 1996, 8989, 2443, 7077, 24943, 2013, 24717, 9108, 3963, 2549, 2000, 1996, 24773, 10846, 1998, 2013, 1996, 24717, 10846, 2000, 24717, 9108, 3963, 2549, 1012, 2011, 3845, 1010, 1996, 4664, 1997, 9108, 3963, 2549, 2148, 1997, 1996, 10846, 2001, 4417, 2004, 5741, 2149, 2753, 1012, 2023, 5741, 2799, 3668, 2225, 2046, 2899, 2247, 4397, 2949, 2264, 9424, 2395, 1998, 1996, 3940, 1997, 4336, 3927, 1998, 4552, 3927, 2000, 28667, 18256, 6593, 2007, 2149, 2753, 2012, 3416, 2395, 1999, 9424, 2940, 1012, 2149, 2753, 2815, 2247, 3639, 3307, 1006, 2085, 9108, 10332, 1007, 2013, 14598, 2000, 6085, 3619, 4645, 1998, 2006, 6085, 3619, 4645, 2346, 1998, 5374, 3927, 2306, 1996, 2103, 2127, 3705, 1010, 2043, 1996, 1057, 1012, 1055, 1012, 3307, 2001, 2872, 2247, 1996, 4397, 2949, 2198, 17179, 3307, 2013, 14598, 2000, 2899, 1998, 5741, 2149, 2753, 2001, 3718, 2013, 9108, 3963, 2549, 1012, 102, 101, 9108, 3963, 2549, 2001, 4423, 2000, 1037, 4055, 3307, 2013, 1996, 2212, 1997, 3996, 6192, 2000, 18403, 2346, 1999, 2835, 8242, 1999, 3705, 1012, 1996, 6903, 1997, 4055, 3307, 2012, 1996, 2149, 2753, 8989, 2001, 3668, 2225, 2000, 12098, 2094, 7184, 12098, 22117, 5686, 2346, 1999, 8904, 4232, 2368, 1999, 3440, 1012, 9108, 3963, 2549, 1005, 1055, 2715, 25133, 19213, 8989, 2007, 9108, 16798, 2001, 2949, 1999, 3411, 1010, 1996, 2168, 2095, 1996, 2280, 3307, 2001, 4423, 2000, 1037, 4055, 3307, 2013, 2835, 8242, 2000, 2074, 2167, 1997, 1996, 3732, 3307, 1012, 1996, 4055, 3307, 2001, 3668, 4943, 2083, 8904, 4232 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000009445102310054946, 0.00002329073757547766, 0.0050775523519015165, 0.00006345081733601149, 0.0001331570769770049, 0.00032120722055981054, 0.19924639948897277, 0.0008592821324581073, 0.00007097408863078103, 0.024942102732537153, 0.0009447059825605218, 0.0000031128052503500743, 0.008315306873115248, 1.6189885754808736e-8, 0.005581284717759674, 0.000014249943322237984, 0.000029386722675294477, 0.10811973594927254, 0.00024403259264299884, 0.000022803786387491717, 0.00003180164212355043, 9.662204499593078e-9, 0.012371181555549235, 0.010846891209668327, 0.03598333575415692, 2.659725739779188e-7, 0.000321869795244078, 0.06968751615098812, 0.022228559627235994, 0.053697723054681644, 0.000040033354454790424, 0.00001364282156760135, 5.7638370653611546e-8, 0.00005802208006875458, 0.00008235712441840612, 0.0693496898583255, 0.0994875938364643, 0.017784662813564146, 0.04289051837000684, 0.0015704203692388416, 0.03674854077291876, 0.03030196746491268, 0.05732317012116464, 0.00006615647332809756, 0.00026809486874386246, 0.0000019610285133364977, 0.03682471960294494, 0.005750546011301384, 0.042230340673831385, 0.000016852979304041218 ]
[ 2368, 2013, 12098, 2094, 7184, 12098, 22117, 5686, 2346, 2000, 8904, 4232, 2368, 12602, 1999, 3285, 1998, 2000, 9108, 16798, 1999, 3381, 1012, 9108, 3963, 2549, 2001, 4096, 2005, 3235, 9678, 2332, 1010, 3781, 1012, 1010, 1999, 3055, 1012, 1996, 3307, 1005, 1055, 8989, 2007, 2149, 2753, 2001, 7183, 1999, 2889, 1999, 9595, 2007, 1996, 18181, 1997, 1996, 2149, 2753, 1516, 3007, 5583, 4576, 8989, 3202, 2000, 1996, 2225, 1025, 2048, 1997, 1996, 8989, 1005, 1055, 7077, 24943, 2007, 24717, 9108, 3963, 2549, 2020, 3718, 1012, 1996, 9108, 3963, 2549, 4055, 3307, 2001, 3668, 2264, 2013, 1996, 2149, 2753, 8989, 2000, 10822, 8459, 1999, 2722, 1998, 2843, 3215, 3877, 13005, 2346, 1999, 2639, 1012, 9108, 3963, 2549, 1998, 9108, 10332, 2020, 7448, 2012, 2037, 5098, 2000, 2191, 9108, 3963, 2549, 2112, 1997, 1996, 2264, 1516, 2225, 8123, 1997, 1037, 2062, 28721, 6840, 1999, 2456, 1012, 2023, 2622, 2001, 2112, 1997, 1996, 4935, 1997, 1996, 2345, 6903, 1997, 9108, 3963, 2549, 1998, 1996, 5516, 4664, 1997, 9108, 10332, 2000, 1037, 4055, 3307, 1012, 102, 101, 102, 101, 1027, 1027, 5098, 2862, 1027, 1027, 102, 101, 102, 101, 1996, 2972, 2799, 2003, 1999, 3159, 2577, 1005, 1055, 2221, 1012, 102, 101, 102, 101, 1027, 1027, 9830, 2799, 1027, 1027, 102, 101, 102, 101, 9108, 3963, 2549, 2050, 2001, 1996, 8259, 2005, 2019, 13294, 1014, 1030, 1012, 1030, 2321, 1030, 1011, 1030, 3542, 1006, 1014, 1030, 1012, 1030, 2484, 2463, 1007, 6903, 1997, 2214, 12139, 1997, 9108, 3963, 2549, 2012, 2049, 5098, 2007, 9108, 10332, 1012, 1996, 8259, 2001, 4137, 1999, 2456, 2043, 9108, 3963, 2549, 1998, 9108, 10332, 2020, 7448, 1012, 1996, 9108, 3963, 2549, 2050, 8259, 1998, 1996, 2346, 2993, 2020, 3718, 1999, 2432, 1025, 1996, 13005, 5822, 6023, 2415, 2085, 7719, 2006, 1996, 3307, 1005, 1055, 2236, 3295, 1012, 102, 101, 102, 101, 102, 101, 1027, 20277, 2102, 14115, 7054, 1027, 102, 101, 102, 101, 20277, 2102, 14115, 7054, 1006, 18388, 1024, 1317, 29878, 29859, 1333, 29876, 29867, 29876, 29868, 29858, 1010, 2394, 1024, 1996, 14115, 16811, 1999, 2774, 1007, 2003, 1037, 3074, 1997, 5179, 18388, 2653, 2774, 23472, 2135, 7851, 2824, 2013, 1996, 2796, 7560, 8680, 1010, 1996, 14115, 16811, 1012, 2009, 2001, 3743, 2011, 2035, 2634, 2557, 1010, 16920, 1999, 3982, 1516, 3838, 1010, 2176, 2086, 2077, 2547, 2001, 3107, 1999, 2634, 1012, 2517, 2011, 1043, 1012, 1040, 1012, 5506, 24848, 6673, 1998, 1996, 2774, 2108, 3605, 2011, 19219, 11961, 6887, 4215, 3489, 1010, 20277, 2102, 14115, 7054, 2001, 10251, 2005, 2049, 4581, 1010, 2189, 1998, 4823, 1012, 2009, 2003, 2641, 1037, 1000, 19199, 1997, 18388, 2422, 2189, 1000, 1998, 1996, 1000, 2087, 2759, 1000, 18388, 2544, 1997, 14115, 16811, 1012, 102, 101, 1996, 2136, 1997, 5506, 24848, 6673, 1998, 6887, 4215, 3489, 3591, 1037, 2047, 2299, 2296, 2733, 2005, 1037, 2095, 2007, 2296, 2299, 2108, 4836, 2034, 2006, 1037, 5958, 2851, 1998, 2059, 2153, 2006, 5095, 1998, 4465, 2851, 1010, 2090, 1022, 1024, 3429, 2572, 1998, 1023, 1024, 4002, 2572, 21541, 1012, 1996, 2565, 1005, 1055, 2034, 2299, 1000, 13970, 3736, 13697, 14115, 7054, 11721, 3775, 1000, 2001, 4836 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.008061849718021392, 0.002397122531172502, 0.008710553017682482, 0.00019353434516451642, 0.015435936481268458, 0.06399484621842359, 0.023484594634873183, 0.000016935645624878903, 0.0000011820509660287005, 0.02576459072703022, 0.008687466757972055, 0.02298963976391451, 0.00217993418354471, 0.0010997734921519393, 0.01526173119424632, 0.011936347838076974, 0.000009904857344748979, 0.04462010373644523, 0.03159674671141797, 0.030625771041240573, 0.0021747800075693356, 0.1885453554245629, 0.00003066855124036585, 0.08732269122950868, 0.037384410034919095, 0.021226569792551192, 8.893058745323794e-9, 0.0462024970375521, 0.01224047190887021, 0.014634823449620091, 0.002688876738635286, 0.0000309421201707557, 0.004740719849984259, 0.09743506287746875, 8.893058745323794e-9, 0.0000010793544815126605, 0.0011126103623569702, 0.018325962654493155, 0.0016582811067681557, 0.000608186272691823, 0.06071621292920515, 0.07733502054483693, 0.0002830107789337967, 0.000005492652281927601, 0.0000021306788105574677, 0.003439378433232031, 0.0008247807376861632, 0.0013774521381684412, 0.00003526655640958298, 0.002548683044290967 ]
[ 2006, 1015, 2258, 3982, 1012, 2295, 20277, 2102, 14115, 7054, 2003, 2241, 2006, 10878, 11748, 4328, 3211, 1005, 1055, 8680, 14115, 16811, 1010, 5506, 24848, 6673, 4900, 1037, 2367, 7984, 4289, 1998, 2001, 5868, 2005, 1996, 4581, 1010, 1998, 2001, 2170, 4748, 17157, 5480, 11748, 4328, 3211, 1006, 1996, 2715, 11748, 4328, 3211, 1007, 1012, 1996, 20277, 2102, 14115, 7054, 2003, 2641, 2004, 1000, 1996, 13675, 2229, 23865, 2080, 1997, 5506, 24848, 6673, 1005, 1055, 4706, 6819, 3995, 3126, 1000, 1012, 6887, 4215, 3489, 3701, 2109, 17768, 3022, 1997, 18221, 17681, 4556, 2189, 2000, 17202, 1996, 2774, 1012, 2002, 2036, 3479, 1996, 17768, 2050, 1998, 1996, 21368, 2050, 1997, 1037, 2299, 2000, 4848, 1996, 2051, 1997, 1996, 5043, 1998, 1996, 7984, 6888, 1012, 1996, 4802, 1998, 4543, 2020, 5868, 2005, 2037, 6691, 2000, 1996, 2186, 1012, 102, 101, 1996, 2186, 22443, 1037, 2561, 1997, 3590, 2536, 3494, 2013, 14115, 16811, 1012, 14115, 1006, 22128, 1997, 17647, 1998, 5394, 1997, 1996, 14115, 16811, 1007, 2108, 1996, 2599, 2839, 1997, 1996, 2186, 2001, 2445, 4555, 2193, 1997, 2774, 1006, 2184, 1007, 1010, 2628, 2011, 2809, 2774, 2005, 4133, 2050, 1006, 14115, 1005, 1055, 2564, 1998, 22128, 1997, 1996, 7560, 7804, 21352, 1007, 1012, 5506, 24848, 6673, 5228, 2037, 2536, 27824, 1010, 7478, 2013, 2037, 16968, 2000, 1996, 2529, 21775, 1012, 5043, 3973, 1010, 1996, 2430, 17379, 1997, 1996, 14115, 16811, 1998, 20277, 2102, 14115, 7054, 1010, 1996, 5698, 1030, 1011, 1030, 2332, 10958, 27313, 1010, 2001, 2025, 2445, 2151, 2299, 1012, 1996, 2186, 2003, 17356, 2011, 13970, 7377, 1998, 13697, 1010, 5519, 4124, 1997, 14115, 1998, 4133, 2050, 1010, 1998, 1996, 3213, 1997, 14115, 16811, 1006, 11748, 4328, 3211, 1007, 2001, 2036, 2445, 2028, 2299, 1999, 1996, 2186, 1012, 102, 101, 2007, 4852, 6217, 2144, 2049, 2713, 1010, 20277, 2102, 14115, 7054, 2038, 2042, 5421, 2046, 3157, 2060, 4155, 1024, 2274, 9269, 11913, 1998, 2028, 2169, 1999, 11267, 1010, 2394, 1010, 26428, 1010, 13873, 1010, 12849, 25804, 3490, 1010, 11353, 1010, 20284, 2072, 1998, 12180, 1012, 2009, 2038, 2036, 2042, 28468, 16848, 2046, 11655, 10484, 1012, 102, 101, 102, 101, 1027, 1027, 4145, 1027, 1027, 102, 101, 102, 101, 20277, 2102, 14115, 7054, 2001, 17158, 3550, 1999, 3982, 1010, 2176, 2086, 2077, 1996, 4955, 1997, 2547, 1999, 2634, 1999, 3851, 1012, 2076, 1996, 2220, 2420, 1997, 2035, 2634, 2557, 1010, 16920, 1006, 2036, 2124, 2004, 9779, 13716, 18663, 3490, 16920, 1007, 1010, 2276, 2472, 4133, 11905, 3372, 14804, 2359, 2000, 4088, 1037, 2557, 4746, 2029, 2052, 2022, 14036, 1998, 3073, 7191, 2495, 1012, 2002, 6516, 14801, 2010, 2933, 2000, 4802, 1998, 3213, 1043, 1012, 1040, 1012, 5506, 24848, 6673, 1006, 16071, 2124, 2004, 1000, 11721, 1030, 1011, 1030, 4487, 1030, 1011, 1030, 5003, 1000, 1007, 1012, 2144, 1996, 14115, 16811, 1006, 2517, 2011, 11748, 4328, 3211, 1007, 2003, 2019, 2796, 8680, 1010, 14804, 1998, 5506, 24848, 6673, 2234, 2039, 2007, 2019, 2801, 1997, 1037, 2544, 1999, 6170, 3085, 7893, 1012, 5506, 24848, 6673, 3970, 1996, 4119, 1010, 28845, 2075, 2010, 2189, 1030, 1011, 1030, 2472, 2767, 19219, 11961, 6887, 4215, 3489, 1006, 16071, 2124 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.007579681167461307, 0.000281453898793074, 0.09824121451452096, 0.0000036757595140171845, 0.0012538222472999886, 0.04315902552087071, 0.0026242401985055418, 0.0000019978281633447233, 0.0034509255128797687, 0.000053780862013594284, 0.06077261435868985, 0.10395721726928892, 0.0007372907813384281, 0.010872697976014976, 0.00008661412477445162, 0.0004253627265643512, 7.611850433229312e-9, 0.008404441360844945, 0.009217121100536272, 0.000046061703232061055, 0.0074546926278163846, 0.0006415726409455978, 0.0003216148185063094, 0.11863610161045517, 0.05080138983938355, 0.017123680181578248, 0.0859976641026225, 0.00121346646495102, 0.0006998808285812307, 0.016835056431831155, 0.00023946721347557282, 0.0003133162394808675, 0.05634630545429761, 0.010394923718509152, 0.00015531550959502248, 0.017912468393940898, 0.07799666142955446, 0.03544777871923322, 0.0040305737264836475, 0.0000027622376673287906, 0.0067959274874099355, 0.001743382620857844, 0.05821584862315219, 0.0002773537653335643, 0.0007311940850110774, 0.05434902627643538, 0.0000010852525008806592, 0.00004044123649071399, 0.0012546982806937758, 0.02285710366004866 ]
[ 2004, 1000, 20948, 4478, 1000, 1007, 2005, 1996, 5792, 1012, 102, 101, 1996, 2136, 1997, 5506, 24848, 6673, 1998, 6887, 4215, 3489, 2052, 2556, 1037, 2047, 2299, 2296, 2733, 2005, 1037, 2095, 1012, 2296, 2299, 2052, 2022, 4836, 2034, 2006, 1037, 5958, 2851, 1998, 2059, 2153, 2006, 5095, 1998, 4465, 2851, 1010, 2090, 1022, 1024, 3429, 2572, 1998, 1023, 1024, 4002, 3286, 21541, 1012, 1996, 4746, 2001, 3322, 3740, 2005, 1037, 2095, 1006, 2007, 4720, 2774, 1007, 2007, 1996, 16228, 2299, 13012, 10755, 24120, 3900, 3148, 6673, 14115, 2073, 14115, 4150, 1996, 2332, 1010, 2021, 3982, 1999, 1996, 7560, 8094, 2018, 2019, 4469, 3204, 1006, 4748, 4048, 22287, 3022, 1007, 1025, 3568, 1010, 2176, 2774, 2020, 2794, 2000, 7949, 1996, 2186, 2000, 1037, 2561, 1997, 5595, 1030, 1011, 1030, 2416, 1012, 1996, 2186, 3092, 2007, 1996, 2299, 1000, 11721, 21451, 3630, 1010, 14880, 14672, 7054, 1000, 2073, 1996, 2112, 2695, 4410, 5103, 2001, 2794, 1012, 4237, 2013, 1996, 2193, 1997, 2774, 1010, 5506, 24848, 6673, 1998, 6887, 4215, 3489, 2187, 2189, 1010, 4581, 1998, 3601, 1997, 8453, 4748, 5622, 16313, 2819, 1012, 5506, 24848, 6673, 2001, 2445, 6018, 7044, 2005, 1996, 3601, 1997, 1996, 5563, 2005, 1996, 2299, 1010, 7781, 1997, 1996, 2466, 2240, 1010, 1998, 1996, 4471, 2002, 2071, 16636, 2083, 2009, 1012, 102, 101, 3322, 1010, 1996, 4746, 2001, 5115, 2000, 4088, 2006, 1996, 6686, 1997, 19739, 4305, 11687, 4213, 1010, 2927, 1997, 1996, 2047, 2095, 2429, 2000, 1996, 11320, 8977, 19478, 7560, 8094, 2021, 2101, 23575, 2000, 2022, 14115, 6583, 3567, 4328, 1010, 3151, 5798, 1997, 14115, 1012, 1996, 2565, 1005, 1055, 2034, 2299, 1000, 13970, 3736, 13697, 14115, 7054, 11721, 3775, 1000, 2001, 4836, 2006, 1015, 2258, 3982, 2012, 1022, 1024, 3429, 2572, 21541, 1012, 6819, 25838, 5506, 24848, 6673, 1010, 1996, 4802, 1005, 1055, 2564, 1010, 7383, 1999, 2019, 4357, 2008, 5506, 24848, 6673, 2626, 1996, 2034, 2299, 1998, 2435, 2009, 2000, 6887, 4215, 3489, 1996, 2154, 2077, 1996, 3405, 1025, 2174, 1010, 6887, 4215, 3489, 2439, 1996, 4581, 1012, 2007, 1996, 3743, 2525, 5115, 1010, 2276, 2472, 4133, 11905, 3372, 14804, 7303, 5506, 24848, 6673, 2000, 2128, 1030, 1011, 1030, 4339, 1996, 2299, 2029, 2001, 12192, 6430, 2011, 2019, 18748, 4802, 1012, 14804, 2059, 2787, 2000, 5843, 1996, 4802, 1999, 2028, 1997, 3405, 4734, 6055, 2007, 2035, 1996, 3223, 3015, 3430, 1998, 3530, 2000, 19829, 1996, 2341, 2069, 2043, 5506, 24848, 6673, 2003, 3201, 2007, 1996, 4581, 1012, 5506, 24848, 6673, 2059, 2128, 13088, 12184, 1996, 4581, 2013, 3638, 1999, 5417, 2781, 2061, 6887, 4215, 3489, 2071, 17202, 1996, 2189, 1012, 102, 101, 102, 101, 1027, 1027, 4581, 1027, 1027, 102, 101, 102, 101, 2295, 11748, 4328, 3211, 2001, 1996, 2364, 7780, 2005, 1996, 20277, 2102, 14115, 7054, 1010, 5506, 24848, 6673, 4900, 1037, 2367, 7984, 4289, 1012, 2002, 2109, 1037, 3722, 16376, 4289, 2007, 1037, 12379, 2193, 1997, 29509, 2015, 1006, 2013, 2274, 2000, 5408, 29509, 2015, 1010, 2007, 2093, 2030, 2176, 3210, 1997, 9671, 3091, 1007, 1012, 1996, 7924, 2109, 2001, 2714, 2000, 1038, 3270, 3567, 18372, 2618, 1010, 2007, 5560, 1996, 2168, 2193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 8.810172930480345e-9, 0.000017991234147932733, 0.036369007838020585, 0.029884358603909634, 0.006704028315614702, 0.029396342082483012, 0.05311685326197483, 0.00006724742852461167, 0.0005578632780634657, 0.004465033530621525, 0.034332104164468816, 0.0001778051020765119, 0.00003364487634975289, 0.000030017805609191533, 0.1167381578857619, 0.030351979499446246, 0.06406747396334879, 0.11594972036470551, 0.0033627996182977004, 0.00007451493157289224, 0.01598463591126228, 0.0010040852503512404, 0.1410079448337112, 0.00012879090255461415, 0.0011537060808585404, 0.00001530707984673289, 0.03537106442978357, 0.004303502209161656, 0.004189903720525456, 0.0005946479040952166, 0.0019720207959112897, 0.031053337577530246, 0.0010639614800600843, 0.03358103595018792, 0.00006818450237444399, 0.0000026062835256281014, 0.05249717542910446, 0.00003321832357895143, 0.0004951241301423091, 0.05369103432072679, 0.04024548585991982, 0.001557638662973696, 0.002789517499711083, 0.007086641879130136, 0.0028696035846220765, 0.002139402783680561, 0.00902367793229432, 0.000006516818035626487, 0.03028186674070916, 0.0000914085284602438 ]
[ 1997, 13523, 8180, 1999, 2169, 2240, 1012, 1996, 7924, 2001, 2036, 10897, 2000, 1996, 21283, 1998, 1996, 3494, 2040, 6369, 1996, 2299, 1012, 5506, 24848, 6673, 2109, 2536, 11630, 1010, 2164, 7984, 1010, 22726, 1998, 15029, 2774, 1012, 2002, 2001, 5868, 2005, 2010, 4581, 1010, 1998, 2001, 2170, 1000, 4748, 17157, 5480, 11748, 4328, 3211, 1000, 1006, 1996, 2715, 11748, 4328, 3211, 1007, 1025, 1998, 1996, 20277, 2102, 14115, 7054, 2003, 2641, 1000, 1996, 13675, 2229, 23865, 2080, 1997, 5506, 24848, 6673, 1005, 1055, 4706, 6819, 3995, 3126, 1000, 1012, 102, 101, 5506, 24848, 6673, 1005, 1055, 7984, 4289, 2001, 2367, 2013, 2008, 1997, 11748, 4328, 3211, 1005, 1055, 2073, 2002, 2106, 2025, 2203, 1996, 2186, 2007, 1996, 12773, 1997, 14115, 1998, 4133, 2050, 1010, 2021, 2443, 4133, 2050, 1005, 1055, 22290, 2011, 14115, 1010, 1998, 2014, 3228, 4182, 2000, 1996, 8178, 1010, 13697, 1998, 13970, 7377, 1012, 2174, 1010, 2002, 4900, 2025, 2000, 2421, 1996, 2197, 2792, 1997, 4133, 2050, 1005, 1055, 2345, 13111, 1999, 14115, 1005, 1055, 2457, 1998, 2014, 5738, 1996, 3011, 1012, 5506, 24848, 6673, 3092, 1996, 2186, 2007, 1996, 2299, 1000, 11721, 21451, 3630, 1010, 14880, 14672, 7054, 1000, 2029, 2001, 6126, 2011, 11748, 4328, 3211, 2073, 2002, 4136, 2010, 17102, 1010, 13697, 1998, 13970, 7377, 1010, 2129, 2027, 2323, 28667, 4221, 1996, 14115, 16811, 1999, 2392, 1997, 14115, 1012, 15329, 1010, 2023, 2036, 28123, 1996, 5402, 1997, 2774, 2073, 2009, 2018, 5625, 1010, 2007, 13697, 1998, 13970, 7377, 4823, 1999, 14115, 1005, 1055, 2457, 1012, 102, 101, 5506, 24848, 6673, 2106, 2025, 2191, 2151, 3535, 2000, 3073, 2047, 7613, 2030, 3574, 2000, 1996, 14115, 16811, 2021, 2409, 1996, 2168, 2466, 1999, 1996, 16325, 1998, 13805, 4289, 1012, 2007, 10502, 1997, 3494, 2066, 6289, 20766, 2050, 1998, 21146, 25990, 1010, 2002, 2443, 1996, 23541, 1997, 3412, 13347, 1006, 1038, 20459, 3775, 1007, 1998, 2036, 2435, 7746, 3543, 2000, 1996, 2466, 2096, 7851, 1996, 3510, 1997, 4133, 2050, 1998, 14115, 2004, 1037, 2586, 1997, 9815, 1998, 11655, 13890, 1012, 2002, 3605, 2774, 2006, 2035, 2698, 9159, 2030, 22827, 2850, 1997, 14115, 16811, 1012, 2041, 1997, 5179, 2774, 1010, 4802, 3605, 4376, 2774, 2006, 21451, 9126, 2850, 1010, 2698, 2006, 1037, 7677, 16425, 3148, 22827, 2850, 1010, 7426, 2006, 19027, 17238, 22827, 2850, 1010, 2093, 2006, 11382, 4095, 18824, 3270, 22827, 2850, 1010, 2176, 2006, 3103, 25329, 22827, 2850, 1010, 4376, 2006, 9805, 14141, 3270, 22827, 2850, 1998, 2093, 2006, 14940, 2050, 22827, 2850, 1012, 102, 101, 2004, 1996, 2186, 2150, 2759, 1010, 1996, 3679, 6399, 1999, 16920, 2211, 2000, 6140, 1996, 3793, 1997, 1996, 2047, 2299, 2296, 2733, 2044, 2049, 2034, 10499, 1012, 1996, 2034, 2880, 3179, 1997, 1996, 3793, 1997, 2122, 5595, 1030, 1011, 1030, 2416, 5878, 1998, 2037, 12388, 21283, 2015, 2234, 2041, 2006, 1996, 6686, 1997, 17027, 8447, 21010, 2072, 1010, 1017, 2255, 3890, 1010, 2405, 2005, 9875, 4095, 29092, 2011, 1996, 2472, 1997, 1996, 5523, 2407, 1010, 6768, 1010, 1999, 4979, 8654, 2946, 1012, 102, 101, 102, 101, 1027, 1027, 2189, 1998, 4823, 1027, 1027, 102, 101, 102, 101, 3315, 2472, 19219, 11961, 6887 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.07200076586728751, 0.05136561340618899, 0.06249238575360714, 0.028588540368727898, 0.01022223951572996, 0.000010003249618535905, 0.005793155510091025, 0.000001990411785421534, 0.010319040289078754, 0.0017669838611575567, 0.019537473273905342, 0.0030933437497902903, 0.004229752184724562, 0.0003567650133853677, 0.0002920456420674805, 0.035620137029054554, 0.06015772605871292, 8.3115631337633e-7, 0.0653200146128294, 0.016634586731388474, 0.01787136512725505, 0.0011111918884740579, 0.030184699286316605, 0.10111050317998672, 0.018457812881416114, 0.01583761089044537, 0.008462711097939033, 0.000058163979079737876, 0.000053384195063181044, 0.0000032374171473021762, 0.012716525141039891, 0.03716334814371739, 0.005924367962106171, 0.10386004064954052, 0.0000021853366901054094, 7.612093790130854e-9, 0.004222300026490308, 0.04011491518511121, 0.0017213192315608556, 0.06648724165366134, 0.010760518934328184, 0.020461541709114215, 0.02094712678958722, 0.006634325870065237, 0.0000187161002570728, 0.00007073387968500315, 0.0019353295623646394, 0.0000719342656456286, 7.612093790130854e-9, 0.025933440706279676 ]
[ 4215, 3489, 3605, 1996, 2774, 2241, 2006, 1996, 17768, 3022, 1997, 18221, 17681, 4556, 2189, 1010, 2164, 1038, 18471, 11475, 1010, 1038, 14341, 19636, 5332, 1998, 5506, 6979, 18941, 2072, 1012, 1996, 17768, 2050, 1998, 21368, 2050, 1997, 1037, 2299, 2001, 3479, 2000, 4848, 1996, 2051, 1997, 1996, 5043, 1998, 1996, 7984, 6888, 1012, 2005, 2742, 1010, 1996, 2299, 1000, 10250, 2050, 17768, 3270, 3567, 10250, 2050, 1000, 2003, 3605, 2004, 1037, 12170, 22655, 2015, 1006, 2851, 1007, 17768, 2050, 1010, 1998, 1996, 2299, 5577, 2019, 2724, 2635, 2173, 1999, 1996, 2851, 1012, 1996, 2774, 1000, 19128, 2771, 20066, 12274, 25572, 14855, 15238, 1000, 1998, 1000, 8038, 3600, 2050, 1010, 22794, 14905, 2226, 17823, 2080, 18243, 6790, 1000, 2024, 2025, 2241, 2006, 1037, 3563, 17768, 2050, 1010, 2021, 2421, 2195, 17768, 3022, 1999, 2169, 2299, 1012, 102, 101, 1996, 8453, 1010, 2029, 2443, 12436, 22341, 25667, 4078, 22269, 5685, 2063, 1010, 23624, 2243, 13075, 2863, 1010, 2469, 4095, 11085, 7847, 6673, 1010, 8223, 6887, 6790, 2243, 1998, 2474, 2696, 2158, 8449, 2232, 6673, 1010, 2020, 5220, 2007, 1996, 5554, 2806, 1997, 2796, 4556, 2189, 1012, 6887, 4215, 3489, 6126, 2035, 1996, 2774, 2005, 14115, 1010, 1998, 2092, 1030, 1011, 1030, 2124, 22403, 2050, 1043, 11077, 2532, 3220, 23624, 2243, 13075, 2863, 6126, 1996, 2839, 1997, 4133, 2050, 1012, 2474, 2696, 2158, 8449, 2232, 6673, 6369, 2028, 2299, 2005, 4133, 2050, 1010, 1000, 16686, 6369, 2474, 5705, 24805, 1000, 1010, 1999, 2029, 4133, 2050, 3980, 14115, 2055, 2014, 22290, 2021, 2014, 3160, 3464, 14477, 3619, 13777, 2098, 1012, 102, 101, 102, 101, 1027, 1027, 3494, 1027, 1027, 102, 101, 102, 101, 1037, 2561, 1997, 3590, 3494, 2013, 1996, 14115, 16811, 2020, 6126, 1999, 1996, 20277, 2102, 14115, 7054, 1012, 5506, 24848, 6673, 5228, 1996, 6699, 1997, 3494, 2107, 2004, 14115, 1010, 4133, 2050, 1010, 7658, 19042, 1516, 1996, 10608, 1006, 3158, 5400, 1007, 2643, 1998, 23313, 2063, 1997, 14115, 1516, 1998, 2474, 5705, 13890, 2050, 1006, 14115, 1005, 1055, 2567, 1007, 1025, 2002, 2036, 4692, 2000, 2507, 2376, 2000, 1996, 15716, 3367, 3494, 1999, 1996, 8680, 1012, 1996, 3158, 5400, 2024, 2445, 1037, 2299, 1006, 1000, 2275, 2226, 2316, 3270, 2128, 12312, 3089, 1000, 1007, 7851, 1037, 2958, 5716, 2058, 1996, 4153, 2061, 14115, 1998, 2010, 2390, 2071, 2892, 2000, 7252, 1012, 1996, 4802, 3264, 2008, 1996, 2299, 2649, 1996, 8688, 1997, 4101, 4428, 1998, 2001, 2019, 2742, 1997, 1996, 6958, 1010, 1000, 2586, 2003, 3997, 1000, 1012, 9152, 7377, 7265, 3501, 19739, 3270, 1006, 2332, 1997, 17710, 20203, 1010, 2983, 2284, 2011, 1996, 5085, 1997, 6080, 2229, 2314, 1007, 1998, 1996, 4049, 3549, 2040, 3271, 14115, 1999, 5153, 1996, 6080, 2229, 2314, 5228, 3209, 1999, 1000, 17823, 2891, 6583, 15851, 11498, 2102, 13569, 6820, 1000, 1012, 1996, 3166, 1997, 1996, 14115, 16811, 1010, 11748, 4328, 3211, 1010, 2001, 2036, 2445, 1037, 2299, 1006, 1996, 2345, 2299, 1010, 1000, 11721, 21451, 3630, 1010, 14880, 14672, 7054, 1000, 1007, 2007, 2010, 6040, 2000, 14115, 1005, 1055, 4124, 13970, 7377, 1998, 13697, 2077, 2027, 3711, 2077, 14115, 1012, 102, 101, 2108, 5394, 1997, 1996, 14115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.0917203075612517, 0.011549916385796099, 0.013589947494451894, 0.000044988643244759165, 0.11162044376413037, 0.03453852983858741, 0.000001674634483581724, 0.006476471681907267, 0.00179273967397819, 0.0014356860164249667, 0.00023529081124847197, 0.017184571203030033, 0.007092486819172917, 0.001986376960608959, 0.02437365277691525, 0.0013368839541368755, 0.022961327853543642, 0.000506031943858429, 0.0010298734089873084, 0.028975057003967047, 0.01581388758123023, 0.00007525669196344653, 0.05391746898975321, 7.974577048370683e-9, 0.000027972806042467864, 0.00008554376276468539, 0.00014312337238313788, 0.12109777729833915, 0.09436802102798925, 0.000031876637772113954, 0.03168922008470894, 0.0000068315130868012745, 0.000006895205490331851, 0.003886888527408421, 0.00222008991213172, 0.00354890511459208, 0.045059084736448776, 0.021652100363535338, 0.00023958072893875713, 0.004767154189566977, 0.00014932666291034112, 0.0000947583053127214, 0.0019569030569583463, 0.0005844854557539443, 0.013590525768052268, 0.01777050121172454, 0.019159310673112405, 0.04505087913569834, 0.00000386237554718929, 0.12454950240648165 ]
[ 16811, 1998, 20277, 2102, 14115, 7054, 1010, 5506, 24848, 6673, 5228, 1996, 9426, 27824, 1997, 14115, 1025, 2002, 2001, 1996, 2087, 1030, 1011, 1030, 6126, 2839, 1999, 1996, 20277, 2102, 14115, 7054, 2007, 2702, 2774, 1010, 2628, 2011, 4133, 2050, 2007, 2809, 1012, 2002, 6791, 14115, 2004, 1037, 3375, 2839, 2440, 1997, 6699, 1998, 25289, 1010, 2007, 2070, 1997, 1996, 21068, 15616, 1010, 2664, 5391, 2011, 1037, 3151, 11870, 1998, 1996, 2624, 6593, 3012, 1997, 1037, 4872, 1012, 5506, 24848, 6673, 6126, 14115, 1005, 1055, 3167, 12962, 21883, 2015, 1006, 1999, 1000, 11748, 11444, 16425, 6583, 1010, 1047, 8865, 3490, 7265, 5802, 1000, 1998, 1000, 27022, 2618, 1010, 2482, 10421, 1010, 2609, 1000, 1007, 2247, 2007, 2010, 8424, 1006, 1999, 1000, 6583, 22655, 1038, 9072, 19496, 23233, 15775, 13837, 2063, 1000, 1007, 1010, 1998, 26261, 4215, 24333, 2791, 1006, 1999, 1000, 27022, 2618, 1010, 2482, 10421, 1010, 2609, 1000, 1007, 1012, 2002, 2001, 3491, 2000, 2022, 5776, 2007, 2010, 3428, 1998, 10756, 1006, 1999, 1000, 11498, 19114, 2078, 6289, 2063, 14855, 20697, 2072, 2404, 2527, 24951, 24887, 3270, 1000, 1007, 1010, 15578, 10265, 3372, 1997, 2269, 1998, 10878, 2015, 1006, 1999, 1000, 10250, 2050, 17768, 3270, 3567, 10250, 2050, 1000, 1007, 1010, 14779, 2006, 1996, 11686, 1010, 1998, 8041, 2043, 7149, 2007, 1996, 10608, 2332, 1010, 11748, 2072, 1006, 1999, 1000, 11748, 11444, 16425, 6583, 1010, 1047, 8865, 3490, 7265, 5802, 1000, 1007, 1012, 5506, 24848, 6673, 2003, 2056, 2000, 2031, 5147, 3491, 14115, 1005, 1055, 16968, 4077, 2010, 2529, 21775, 1012, 2002, 2001, 3491, 2000, 2022, 11116, 2012, 1996, 3279, 4133, 2050, 1006, 1999, 1000, 12849, 10760, 4133, 2050, 23341, 9126, 5685, 5498, 1029, 1000, 1007, 1010, 1998, 23701, 3709, 1999, 2474, 5705, 13890, 2050, 1005, 1055, 3739, 1006, 1999, 1000, 7632, 14841, 5666, 2050, 2310, 3490, 3775, 2140, 6887, 9307, 1000, 1007, 1012, 1999, 2178, 3663, 1010, 2002, 20947, 2070, 2540, 1030, 1011, 1030, 16255, 8450, 2616, 2000, 4133, 2050, 1010, 1999, 2392, 1997, 2010, 2390, 2007, 24114, 2014, 2005, 2035, 1996, 6230, 2015, 1006, 1999, 1000, 27022, 2618, 1010, 2482, 10421, 1010, 2609, 1000, 1007, 1010, 1998, 2059, 2002, 2001, 2036, 3491, 2000, 4863, 2010, 5248, 2007, 11292, 2015, 1998, 21444, 1997, 9721, 2000, 4133, 2050, 1006, 1999, 1000, 13660, 16782, 5705, 2050, 18454, 14141, 4048, 1046, 8865, 2072, 1000, 1007, 1012, 102, 101, 14115, 1005, 1055, 2388, 1010, 10556, 10383, 2135, 2050, 1010, 6369, 2093, 2774, 1025, 2010, 2567, 1038, 28074, 2050, 1010, 2010, 2269, 11454, 25879, 3270, 1010, 7658, 19042, 1010, 2474, 5705, 13890, 2050, 1010, 1996, 5698, 7505, 9739, 27573, 2050, 1006, 2905, 1997, 10958, 27313, 1007, 1010, 14115, 1005, 1055, 11972, 1030, 1011, 1030, 10878, 25292, 2232, 3567, 22930, 2527, 1998, 13970, 7377, 1030, 1011, 1030, 13697, 2031, 2048, 2774, 2169, 1012, 1996, 2430, 17379, 1997, 1996, 14115, 16811, 1010, 1996, 5698, 1030, 1011, 1030, 2332, 10958, 27313, 1010, 2001, 2025, 2445, 1037, 2299, 1025, 2010, 28558, 3739, 2001, 5228, 1999, 12388, 21283, 1010, 13805, 13271, 1998, 2774, 7042, 2011, 1996, 2060, 3494, 1006, 2107, 2004, 10958, 27313, 1005, 1055, 5698, 2567, 13970, 14905, 20459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.16163467052087724, 0.0041123742635768385, 0.1197911291961708, 0.00273359093460796, 0.00006302715313330612, 0.0016711654788205328, 0.0018763259571638264, 0.010705142192313914, 0.0015644004078718369, 0.03881623074112144, 0.002338030361383708, 0.06646411729555039, 0.011436388666477393, 0.0005382655886668072, 0.060084897161069635, 0.0003663759008701679, 0.06149209033981815, 0.013345398215921987, 0.000017304046193973657, 0.027911363217623938, 0.00002678093691581557, 0.00015180181261136981, 0.0005412218385777764, 6.964476988672358e-9, 0.04943243348853851, 0.00013787703751574757, 0.004548564184946525, 0.00027705054851937655, 0.00380128882914274, 0.03381370338766732, 0.013328851065387514, 0.042328994239708435, 0.00015100133229853103, 0.022046573143767886, 0.03512558754966124, 0.0005268169471229882, 0.018856982907704857, 0.000002936721812086046, 0.00010803479981540786, 0.016699672157232823, 0.051023067089807236, 0.030118683781619228, 0.000024646310601106603, 0.000012965326999971972, 0.000016427075132196777, 0.015023617739383615, 0.00019535601567198123, 0.03866385286377954, 0.03526118368262621, 0.0007917325817213781 ]
[ 2906, 2532, 1999, 1000, 17595, 3489, 10755, 10556, 2140, 10645, 10606, 21862, 1000, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 2862, 1997, 2774, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 4616, 1027, 1027, 102, 101, 102, 101, 2044, 20277, 2102, 14115, 7054, 1005, 1055, 2434, 3743, 2001, 2058, 1999, 2233, 1997, 3838, 1010, 11186, 1997, 2128, 1030, 1011, 1030, 3743, 2020, 9451, 1996, 2557, 2276, 1012, 2035, 1030, 1011, 1030, 2634, 2557, 5567, 1996, 2972, 2186, 1997, 5595, 1030, 1011, 1030, 2416, 4882, 2774, 2349, 2000, 2759, 5157, 1012, 2044, 1996, 3743, 1010, 6887, 4215, 3489, 2550, 2270, 6759, 1997, 3479, 2774, 1012, 1996, 2034, 2270, 2836, 2001, 2218, 1999, 1996, 5506, 24848, 6673, 2015, 1005, 27563, 1010, 1000, 6090, 7507, 20203, 1000, 2012, 11333, 2243, 3207, 26016, 2072, 1010, 16920, 2006, 2654, 2089, 3845, 1012, 1999, 3245, 1010, 1037, 3165, 13078, 7401, 1997, 1996, 4746, 2165, 2173, 2012, 1996, 2047, 2394, 2082, 1999, 16920, 2005, 2809, 6385, 1012, 29533, 2140, 16178, 2072, 12436, 3501, 4502, 6672, 2063, 1010, 1996, 2059, 2704, 1997, 6327, 3821, 1010, 3230, 1996, 2265, 2004, 1996, 4113, 1997, 6225, 2247, 2007, 1996, 2059, 4112, 3539, 2704, 1997, 2634, 8038, 4095, 7447, 6494, 2080, 15775, 6212, 1010, 16046, 2143, 2472, 19021, 2226, 1038, 12707, 2696, 7507, 20444, 1010, 3364, 3611, 2050, 12849, 4859, 3489, 1010, 1998, 6334, 4556, 8453, 2107, 2004, 1038, 14341, 5054, 26645, 1998, 11382, 22231, 3089, 2572, 2239, 6673, 1012, 12436, 3501, 4502, 6672, 2063, 2036, 3230, 1996, 3585, 13078, 7401, 2007, 21146, 12173, 22195, 2906, 1998, 28352, 22794, 9102, 4710, 1012, 2120, 2400, 1030, 1011, 1030, 3045, 2396, 2472, 9152, 7629, 16469, 9126, 2102, 4078, 4886, 2881, 1996, 2754, 10775, 5019, 2013, 1996, 14115, 16811, 1012, 1996, 2724, 2956, 2035, 1996, 2774, 2013, 1996, 2434, 20277, 2102, 14115, 7054, 2085, 5554, 3550, 2011, 5506, 24848, 6673, 1005, 1055, 2365, 18887, 5506, 24848, 6673, 1010, 14880, 25632, 6887, 4215, 3489, 1010, 2469, 4095, 11333, 2094, 6673, 1010, 2039, 19524, 1038, 12707, 1010, 23731, 3900, 6887, 8189, 4890, 8183, 9354, 6673, 1998, 2500, 1012, 102, 101, 102, 101, 1027, 1027, 7684, 1027, 1027, 102, 101, 102, 101, 2004, 1996, 2557, 4746, 2150, 2759, 1010, 3679, 6399, 1999, 16920, 2211, 8021, 1996, 4581, 1997, 1996, 2047, 2774, 2169, 2733, 1012, 1996, 4772, 2533, 1997, 2035, 2634, 2557, 2036, 9227, 1996, 4581, 1998, 24962, 2013, 1996, 23889, 7928, 1999, 1037, 2338, 2433, 1012, 1996, 20311, 1030, 1011, 1030, 3931, 3872, 1010, 2059, 21125, 2012, 1576, 1016, 1010, 2001, 3390, 2006, 1017, 2255, 3890, 2006, 1996, 6686, 1997, 17027, 8447, 21010, 2072, 1012, 1999, 3551, 1010, 1996, 20287, 2615, 2207, 2702, 6948, 2015, 3794, 1996, 2376, 1997, 19219, 11961, 6887, 4215, 3489, 1012, 1999, 3380, 1010, 1996, 13250, 25232, 2194, 1997, 2634, 2207, 1037, 2184, 1030, 1011, 1030, 13903, 2275, 1010, 2153, 3794, 6887, 4215, 3489, 1005, 1055, 2376, 1010, 1998, 2753, 1030, 1010, 1030, 2199, 2636, 2020, 2853, 1012, 5506, 24848, 6673, 1005, 1055, 2365, 1010, 18887, 1010, 2550, 1037, 13762, 2544, 27696, 3174, 1030, 1011, 1030, 2809, 4178, 1997, 1996, 20277, 2102, 14115 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00002178335478961642, 0.000016493606618751466, 0.05177074634833002, 0.04805665533933876, 0.00008684471433554977, 0.10975587231106708, 0.02569106904325581, 0.005916025935577644, 0.06704755696378335, 0.058276876455214795, 0.0005063666105927305, 0.0000676554919328866, 0.00010597820703308097, 0.007173036844437223, 0.0027701728025154087, 0.00022507194710396175, 0.002329325244666899, 0.00018654141386644302, 0.08241858224709106, 0.0010443683424355673, 0.0007594717334337609, 0.09050354510633819, 0.014584536331591841, 0.01700974346335287, 0.0013207894174727575, 0.06088955146171849, 0.00020030541209110214, 0.0001660350157930909, 0.07090664345222662, 0.0050207333993439384, 0.08503919527234803, 0.006345614280162069, 0.01419616224813704, 2.1640226570607424e-7, 0.00018745821042151403, 0.00006843016695605833, 0.004867567151839871, 0.09137722808707935, 0.004734004586969714, 0.00003312315237271101, 0.007755774574466125, 0.00003016286099051374, 0.024872183927559754, 0.0008413702244282796, 0.00020285393951373595, 0.0007414111345769246, 0.006373786756072579, 0.00036257135085188385, 0.0002728243692778938, 0.026869683286360774 ]
[ 7054, 2006, 23727, 18388, 2029, 2001, 2092, 2363, 2011, 1996, 4378, 1012, 2002, 2038, 2036, 2517, 1037, 2338, 1010, 20277, 2102, 14115, 16811, 5403, 14115, 7054, 1010, 7851, 1996, 4182, 1997, 2169, 20277, 2102, 14115, 16811, 2299, 1012, 2023, 2338, 2001, 5186, 2092, 2363, 1998, 2003, 2092, 2046, 2049, 2117, 3179, 2525, 1012, 2002, 2036, 2106, 1037, 2557, 2565, 2011, 1996, 2168, 2171, 1012, 2444, 3065, 1997, 20277, 2102, 14115, 7054, 2024, 2145, 2550, 2006, 6686, 1997, 14115, 6583, 3567, 4328, 1012, 18887, 5506, 24848, 6673, 2370, 2038, 3412, 2135, 2042, 4488, 1005, 20277, 2102, 14115, 16811, 1005, 6759, 1999, 2634, 1010, 3915, 1010, 2660, 1010, 2710, 1010, 2885, 1998, 17641, 2005, 1996, 2197, 2382, 2086, 1012, 102, 101, 102, 101, 1027, 1027, 2060, 4155, 1027, 1027, 102, 101, 102, 101, 20277, 2102, 14115, 7054, 2038, 2042, 5421, 2046, 3157, 2060, 4155, 2164, 11267, 1010, 2394, 1010, 19739, 22734, 8609, 2072, 1010, 13873, 1010, 9269, 1010, 12849, 25804, 3490, 1010, 11353, 1010, 20284, 2072, 1998, 12180, 1012, 2009, 2003, 2036, 28468, 16848, 2046, 11655, 10484, 1012, 2023, 2003, 1996, 2034, 1998, 2069, 3074, 1997, 18388, 2653, 2774, 2288, 5421, 1999, 2061, 2116, 4155, 1012, 1996, 5449, 2003, 2589, 1999, 2107, 1037, 2126, 2008, 1996, 3937, 1996, 3937, 3091, 1998, 2060, 12827, 1997, 5961, 2024, 15704, 1012, 1996, 11913, 2024, 1024, 102, 101, 102, 101, 102, 101, 1027, 18603, 2154, 2082, 1027, 102, 101, 102, 101, 1996, 18603, 2154, 2082, 2001, 1037, 2797, 2082, 1999, 18603, 1030, 1011, 1030, 2006, 1030, 1011, 1030, 6842, 1010, 1999, 7987, 2401, 11890, 3669, 4246, 6952, 1010, 2047, 2259, 1012, 3581, 1998, 6583, 11890, 21205, 3158, 4063, 15000, 2511, 1996, 2082, 1999, 5124, 2012, 2037, 3776, 1010, 21760, 3702, 1012, 1996, 2082, 1010, 1037, 2512, 3366, 25572, 6862, 14495, 2267, 13485, 2154, 2082, 1010, 4036, 2493, 2012, 3653, 1030, 1011, 1030, 11793, 2000, 11313, 3694, 3798, 1998, 2018, 2235, 2465, 10826, 1010, 2007, 2561, 10316, 6524, 17003, 5018, 2493, 1012, 2144, 3150, 1010, 1996, 3121, 1998, 3200, 2031, 2042, 3079, 2011, 1996, 3154, 3193, 2082, 1010, 2029, 3216, 1037, 2154, 3949, 2565, 2005, 6640, 2493, 1012, 1996, 2783, 2082, 2145, 3594, 1996, 18603, 2082, 1005, 1055, 4258, 1010, 2029, 2001, 2441, 1999, 4585, 1012, 1996, 2082, 3721, 2003, 1037, 8020, 3200, 2000, 1996, 18603, 3181, 2212, 1012, 102, 101, 1996, 18603, 2154, 2082, 2001, 11459, 2011, 1996, 2690, 2163, 2523, 1997, 6667, 1998, 3905, 2816, 1998, 1996, 2604, 1997, 22832, 1997, 1996, 2118, 1997, 1996, 2110, 1997, 2047, 2259, 1012, 1996, 2082, 2036, 2001, 1037, 2266, 1997, 1996, 13988, 21602, 2554, 1998, 1996, 2120, 2523, 1997, 2981, 2816, 1012, 2049, 7744, 4809, 2008, 1997, 18603, 1010, 2167, 7018, 1025, 18603, 1030, 1011, 1030, 2006, 1030, 1011, 1030, 6842, 1005, 1055, 17283, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 1996, 18603, 2082, 2001, 2631, 1999, 5124, 2011, 3581, 1998, 6583, 11890, 21205, 3158, 4063, 15000, 2005, 2037, 2416, 2336, 1998, 1996, 2336, 1997, 2814, 1998, 10638, 1012, 2383, 2777, 11490, 3814, 10125, 24137, 3089, 2076, 2037, 2647, 7930, 1010, 1996, 3158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.002081557722368236, 0.0002745317467458117, 0.00015980550172712152, 0.00002404570203979425, 0.005360984335676803, 0.005446827381808936, 0.000013210091116108655, 0.004000366849270054, 0.014934296604414607, 0.009312010426307759, 0.0353379283770454, 0.00707093468377224, 0.000004464956682580321, 0.010654412367218534, 0.000014207609349650627, 0.0000363454643915646, 0.05240899754842509, 0.1031221337443238, 9.017014655805768e-9, 0.0007151151452053387, 0.10102725982104817, 0.018161237202931984, 0.055778851702444225, 0.06841052077026942, 0.0052971480632936, 0.037650078485570414, 0.006797539157472526, 0.00248940114154752, 0.006851835958314672, 0.000005162516729802285, 0.0012205592041029645, 0.051913705263521515, 5.1307211968388484e-8, 0.0003780783376877472, 9.017014655805768e-9, 0.023758154636954184, 9.017014655805768e-9, 0.0778643476255912, 0.043609492203290905, 0.0000014149412734753095, 0.010596336442006783, 0.00041718644262912107, 0.004637066434555494, 9.017014655805768e-9, 0.003332452325990557, 0.02396106408595323, 0.1492919099646666, 0.00023923922564962039, 0.04572383242077482, 0.009613861992569214 ]
[ 4063, 15000, 2015, 16193, 1996, 10125, 24137, 3089, 4118, 2012, 1996, 3487, 28751, 7330, 1999, 3518, 17056, 8892, 2011, 4526, 1996, 2034, 10125, 24137, 3089, 2082, 1999, 1996, 2142, 2163, 1010, 1999, 4878, 1012, 3581, 3158, 4063, 15000, 1005, 1055, 2905, 7920, 2001, 2496, 2000, 28751, 1025, 1996, 2945, 5224, 2485, 7208, 1012, 2044, 1037, 2095, 4493, 1999, 2048, 4734, 1997, 1996, 28751, 5039, 1010, 1996, 2082, 2333, 2000, 1996, 2314, 4796, 2160, 2012, 1996, 2167, 2203, 1997, 2314, 2346, 1998, 1996, 21760, 3702, 3776, 1012, 102, 101, 1996, 2082, 2333, 2000, 2049, 2345, 3295, 1999, 4585, 1010, 2012, 3158, 4063, 15000, 2534, 1010, 1037, 2311, 3158, 4063, 15000, 3833, 1999, 4947, 18299, 10283, 2695, 2346, 1006, 2783, 1057, 1012, 1055, 1012, 2799, 1023, 1007, 1012, 1996, 2311, 2001, 2881, 2005, 4280, 1997, 2702, 1010, 2000, 8752, 6036, 2336, 2561, 1012, 2009, 2001, 4350, 2006, 21760, 3702, 1005, 1055, 3770, 1030, 1011, 1030, 7456, 1006, 13710, 1030, 1010, 1030, 2199, 25525, 1007, 2380, 3122, 2881, 2011, 5406, 2375, 19330, 5244, 3064, 2005, 1996, 3158, 4063, 15000, 2015, 1012, 2802, 1996, 2082, 1005, 1055, 2381, 1010, 2493, 2020, 2330, 2000, 17677, 1996, 19268, 1998, 5822, 1010, 16462, 1996, 10168, 2015, 1998, 5093, 5434, 1010, 1998, 9880, 1999, 1996, 4386, 1030, 1011, 1030, 7451, 4770, 1012, 2045, 2020, 2467, 3888, 4176, 3518, 2005, 1996, 2336, 2000, 2156, 1998, 2377, 2007, 1998, 1037, 9661, 27628, 2000, 4536, 2006, 1012, 1996, 2082, 2018, 1037, 11288, 2465, 1010, 5515, 4258, 2177, 1010, 5154, 4823, 1010, 1037, 5742, 4770, 1010, 1998, 2019, 3171, 7057, 1012, 3581, 3158, 4063, 15000, 2018, 2985, 2055, 1002, 3156, 1030, 1010, 1030, 2199, 2006, 1996, 2082, 1006, 1002, 1023, 1030, 1010, 1030, 17825, 1030, 1010, 1030, 2531, 1999, 2325, 1007, 1012, 3180, 2396, 10637, 2020, 2218, 2012, 1996, 18603, 2082, 1010, 2164, 1037, 6743, 4538, 1999, 1996, 3059, 3871, 2012, 21760, 3702, 1010, 2029, 2443, 2573, 2011, 4560, 2139, 27831, 6199, 1010, 4463, 7367, 3051, 1006, 1037, 11155, 2934, 1997, 6743, 2012, 10921, 1007, 1010, 1998, 2957, 9761, 28563, 1012, 102, 101, 2220, 2006, 1999, 1996, 2082, 1005, 1055, 2381, 1010, 1996, 3158, 4063, 15000, 2015, 2787, 2000, 2689, 1996, 2082, 1005, 1055, 2291, 2013, 1996, 10125, 24137, 3089, 4118, 2000, 1037, 2062, 5337, 3921, 2007, 2062, 9009, 1010, 2348, 2493, 2145, 2018, 2062, 4071, 2084, 1996, 2779, 2082, 1012, 1999, 1996, 5687, 1010, 1996, 2082, 2001, 2641, 6555, 1024, 2493, 2020, 2025, 21976, 1998, 2020, 10290, 2000, 2147, 2012, 2037, 2219, 3177, 1012, 2004, 10316, 3473, 1010, 2178, 2311, 2001, 2328, 2005, 3920, 2336, 1010, 2029, 11060, 2091, 1999, 3851, 1012, 1999, 2804, 1010, 1037, 6265, 9954, 1010, 4497, 1010, 1998, 2996, 2020, 2328, 2220, 1999, 1996, 2082, 1005, 1055, 2381, 1012, 3581, 3158, 4063, 15000, 5632, 4252, 11038, 2576, 4610, 2012, 1996, 2082, 1025, 2002, 2052, 2552, 2041, 5364, 2155, 6157, 2006, 2019, 15344, 2479, 2007, 2493, 2000, 10580, 1996, 2458, 1997, 16498, 1012, 6583, 11890, 21205, 3158, 4063, 15000, 2743, 1996, 2082, 6265, 9954, 1010, 1998, 2009, 2003, 2680, 2008, 2016, 2366, 2204, 3722, 2833, 1012, 2016, 2315, 2070, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00005172795103549625, 6.882581946394783e-7, 0.0009483460598224504, 0.036228884224106195, 0.08806416687780222, 0.053595427097174915, 0.01663912717412203, 9.723289758411356e-9, 0.000002644300869004017, 0.04649914579290376, 0.000003817874654584679, 0.00009839594415600068, 0.006585410127315395, 0.0648475299647307, 0.00005007159670672105, 0.018496520243878538, 0.0011266747389042252, 0.0000030814717771630734, 0.06747114647483357, 0.000013282402855805653, 0.002085848880529577, 3.007275481950289e-7, 0.000530080087215213, 0.027551940042612893, 3.964929420409308e-7, 0.03938111898333648, 0.10658741469433657, 0.012005254854169442, 0.00001682144767570853, 0.000012049874656217024, 0.019425846836027855, 0.00021482248013072298, 0.07102624972894098, 0.00014780444307003278, 0.053887647600340975, 0.10860043393587265, 0.0006549668454384199, 0.0018984002949171887, 0.00014846190295907024, 0.00733322707637975, 0.005212993118950097, 0.00001929743495096113, 0.014119589601894468, 0.0009575136549914289, 0.015032149414740126, 0.000002631535312072045, 0.00005214478572145319, 0.0018073543136138694, 0.07563913655199601, 0.03492200405959637 ]
[ 2014, 9440, 6018, 3973, 1006, 5785, 29593, 2007, 15547, 11493, 2015, 2001, 2170, 6655, 2063, 15587, 2063, 1037, 2474, 24477, 1007, 1012, 102, 101, 2372, 1997, 1996, 3158, 4063, 15000, 2155, 1010, 3391, 3448, 3158, 4063, 15000, 8040, 6806, 23266, 1010, 2506, 2000, 21497, 1996, 2082, 2005, 8442, 2086, 1012, 1037, 3851, 2458, 2933, 2081, 2126, 2005, 1037, 2047, 3078, 2082, 1999, 3777, 1010, 2047, 2671, 4128, 1999, 3705, 1010, 4935, 1997, 1996, 3075, 1999, 3699, 1010, 1998, 1996, 4325, 1997, 2019, 3029, 2005, 9441, 1010, 1997, 3183, 2045, 2020, 2062, 2084, 1037, 4595, 2542, 1999, 3355, 1012, 1996, 2082, 2001, 4039, 2000, 6855, 7182, 4804, 1998, 2701, 1999, 3301, 1012, 1999, 3150, 1010, 1996, 3121, 1998, 3200, 2020, 2579, 2058, 2011, 1996, 3154, 3193, 2082, 1010, 2029, 2441, 1999, 2244, 3261, 2044, 2350, 15576, 1012, 1996, 2082, 3216, 1037, 2154, 3949, 2565, 2005, 6640, 2493, 2013, 13640, 2082, 2287, 2000, 2538, 1010, 1998, 2003, 6485, 2011, 1996, 2523, 2005, 10597, 5665, 2336, 1997, 25489, 1025, 2049, 2565, 7336, 2495, 1010, 3949, 1010, 1998, 5325, 8830, 1998, 6687, 6624, 1012, 102, 101, 102, 101, 1027, 1027, 3721, 1027, 1027, 102, 101, 102, 101, 1996, 2364, 18603, 2082, 2311, 1010, 3158, 4063, 15000, 2534, 1010, 2001, 2881, 2011, 2520, 1059, 1012, 8945, 12255, 1010, 2124, 2005, 28404, 18712, 5283, 4183, 1998, 16487, 18346, 1012, 1996, 2082, 2311, 2001, 3833, 1999, 1037, 5729, 1010, 2035, 1030, 1011, 1030, 2317, 22657, 2806, 1010, 1998, 2001, 2949, 2220, 1999, 4585, 1012, 1999, 2804, 2000, 1037, 2882, 23104, 2098, 4443, 1010, 2045, 2020, 2048, 4777, 2008, 7431, 4280, 1010, 1037, 3075, 1010, 16673, 1998, 11288, 1010, 8102, 2671, 13625, 1010, 1998, 2019, 2396, 2282, 9854, 1015, 1030, 1010, 1030, 2199, 2675, 2519, 1006, 6109, 25525, 1007, 1010, 3614, 2098, 2006, 2093, 3903, 2007, 2413, 3645, 1012, 1999, 1996, 4120, 1010, 2019, 3176, 19770, 3252, 2001, 2328, 2408, 1037, 5460, 2008, 2052, 4821, 2160, 1996, 2082, 1005, 1055, 2896, 7022, 1012, 102, 101, 3123, 9629, 1010, 2019, 3776, 1998, 1996, 14508, 1997, 2198, 2773, 2368, 1010, 2001, 2101, 2109, 2011, 3158, 4063, 15000, 2004, 1037, 21538, 2005, 18603, 2082, 9405, 2493, 1012, 3123, 9629, 2768, 4500, 1996, 21760, 3702, 3776, 1010, 2012, 1996, 3420, 1997, 2799, 1023, 1998, 18603, 2346, 1012, 2178, 3721, 2311, 2001, 5032, 23201, 4630, 2534, 1010, 2029, 2001, 2761, 9957, 3762, 2160, 1010, 2188, 2000, 2852, 1012, 11312, 5879, 9957, 3762, 1012, 3158, 4063, 15000, 2328, 1996, 2160, 2005, 2032, 1998, 2010, 2564, 1025, 1996, 2160, 2001, 2101, 2445, 2000, 1996, 18603, 2082, 1998, 2366, 2004, 1037, 3057, 1005, 21538, 1999, 1996, 7675, 1998, 2004, 1037, 16296, 1005, 1055, 5039, 2055, 4228, 2086, 2101, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 4258, 1027, 1027, 1027, 102, 101, 102, 101, 21760, 3702, 4258, 1010, 1037, 15059, 1997, 1996, 2210, 4258, 2006, 5934, 1010, 2001, 2443, 1999, 7051, 8945, 12255, 1005, 1055, 2640, 1997, 1996, 3078, 2082, 2311, 2138, 3158, 4063, 15000, 3391, 2359, 2010, 2219, 4258, 1012, 21760, 3702, 4258, 1010, 2007, 17273, 2751, 10966, 4272, 1010, 2001, 2881, 2011, 28974, 19900, 2105, 4585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.12739648615211682, 0.0300467843987113, 0.0003276872417377933, 0.03363183459374022, 0.049762307372599346, 0.00020930163313069306, 0.020063078218758416, 0.00007051589672048561, 0.000028904676997460926, 0.0000011386225313944085, 0.00006331316950527004, 0.0386193332820005, 0.028306856922410983, 0.09306420064832005, 0.009367814679742292, 0.0000032663250430549587, 0.03879783050296427, 0.008090212451354353, 0.00019179870647470417, 0.00001712924408484402, 0.027680560427548177, 0.05657998960984614, 0.00035039302608796003, 0.0000018386278713176791, 0.007757555597844552, 0.02211901489374909, 0.024105057233218957, 0.07645878313651987, 0.0000788053332192597, 0.03430884025001939, 0.00926837869385224, 0.0013976307002082089, 0.00015230393584289882, 0.0010822319779171012, 0.002669232453630124, 0.008148606071170484, 0.0002898652431995225, 0.0001048803516896944, 0.05990897290078534, 0.0379474110077063, 0.00047283179570287707, 0.025236727091424528, 0.0010176441674850623, 0.0023177601051599744, 0.011197400220646117, 0.03750847038036494, 0.005228924341084788, 0.06568294111053365, 0.0007358466530626134, 0.0021313079236645314 ]
[ 1012, 4751, 2020, 4876, 8920, 2588, 2810, 1025, 1996, 7497, 3941, 1010, 1996, 3496, 19459, 2015, 1998, 4875, 3916, 1010, 1998, 1996, 11225, 4734, 2020, 2092, 1030, 1011, 1030, 2881, 1998, 2110, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 1996, 1030, 1011, 1030, 2396, 1012, 1996, 2754, 2723, 2001, 2881, 2926, 2005, 5613, 1010, 1998, 1996, 6490, 2015, 1998, 4258, 19173, 2081, 9903, 1997, 5453, 2825, 1012, 102, 101, 1996, 4258, 2001, 2109, 2005, 17720, 1010, 3248, 1010, 6759, 1010, 1998, 8921, 1012, 2009, 2001, 2036, 2188, 2000, 1996, 21760, 3702, 2867, 1010, 2019, 4639, 4488, 2840, 2177, 2029, 2018, 2049, 7321, 1999, 4529, 1012, 1996, 2867, 2404, 2006, 2195, 3248, 1037, 2095, 1010, 2621, 1998, 3467, 1010, 2416, 3248, 1037, 2095, 1998, 2093, 1030, 1011, 1030, 2305, 3216, 1012, 2027, 2018, 2318, 2007, 2093, 2028, 1030, 1011, 1030, 2552, 3248, 2021, 2018, 3852, 2000, 2440, 1030, 1011, 1030, 3091, 16547, 1012, 2013, 2049, 2034, 2086, 1010, 5934, 5889, 2109, 1996, 4258, 2043, 2025, 4728, 5117, 1012, 2426, 2068, 2020, 13378, 11430, 1010, 21360, 13465, 2618, 4202, 1010, 9399, 15489, 20147, 1010, 2508, 4670, 1010, 18414, 25112, 21039, 2063, 1010, 1998, 6262, 21713, 9091, 2100, 1012, 9162, 2015, 1998, 9567, 1999, 1996, 21760, 3702, 4258, 2443, 4532, 21432, 2102, 1010, 2728, 10097, 1010, 2198, 16137, 12879, 12891, 1010, 12436, 15721, 12110, 1010, 10508, 8573, 1010, 1044, 1012, 1043, 1012, 7051, 1010, 4459, 6320, 3841, 3388, 1010, 1998, 1037, 2332, 1997, 25583, 1012, 2060, 3862, 3922, 2012, 1996, 4258, 2443, 2798, 2522, 8022, 1998, 18061, 24562, 7343, 1012, 9501, 2031, 2443, 5951, 1040, 1012, 8573, 1010, 2198, 1040, 1012, 16696, 3781, 1012, 1010, 2888, 4811, 1998, 1996, 2197, 2332, 1997, 3735, 1012, 102, 101, 1996, 4258, 2001, 2441, 1998, 4056, 2006, 2254, 1016, 1010, 4585, 1012, 1996, 2034, 4164, 2165, 2173, 2006, 2251, 2382, 1010, 4947, 1010, 1998, 2001, 2011, 16270, 15719, 5553, 11687, 7869, 10344, 1012, 2076, 2010, 2836, 1010, 1996, 2304, 3419, 7738, 2165, 2173, 2012, 1037, 21061, 2573, 1999, 2047, 3933, 1010, 2062, 2084, 2382, 2661, 1006, 4466, 2463, 1007, 2013, 18603, 1012, 3581, 3158, 4063, 15000, 3781, 1012, 1010, 2702, 2086, 2214, 2012, 1996, 2051, 1010, 2101, 7383, 2008, 2002, 2387, 1996, 20010, 7856, 3508, 6073, 1996, 21601, 4258, 2311, 1010, 1998, 2008, 11687, 7869, 10344, 2018, 2209, 2006, 2004, 2065, 2498, 2018, 3047, 1012, 1996, 6882, 2543, 4303, 2012, 1996, 2327, 1997, 1996, 4258, 2018, 22057, 2330, 1010, 1998, 2048, 2273, 2020, 2741, 2632, 15794, 2000, 4133, 2006, 2068, 2127, 1996, 2203, 1997, 1996, 2836, 2000, 4652, 1037, 3147, 4433, 2013, 5738, 1996, 2282, 1012, 102, 101, 2206, 1996, 18603, 2082, 1005, 1055, 5494, 1010, 1996, 21760, 3702, 4258, 2018, 2768, 4064, 2005, 2116, 2086, 1010, 1998, 2001, 5854, 1999, 3172, 2011, 1996, 3618, 9808, 11493, 2075, 2181, 2451, 4258, 1012, 2006, 2233, 2459, 1010, 3118, 1010, 1996, 3154, 3193, 2082, 3591, 1037, 3948, 2836, 1997, 20667, 2099, 4330, 1010, 25325, 10179, 2890, 1006, 1037, 3689, 3775, 9276, 1997, 5904, 22953, 10111, 1005, 1055, 2166, 1007, 2864, 2011, 7628, 5671, 1012, 1996, 2836, 2001, 1037, 1002, 2531, 1030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.002930950536986342, 9.632120424623465e-9, 0.019909694497718143, 0.033436994362985764, 0.06010637857544847, 0.0004473642835471175, 0.00004362769096229031, 0.04612637390407339, 0.002385790753692134, 0.06037855641978684, 0.0630148047975746, 0.000283205357587578, 0.0026701482786638028, 0.00002175276341958839, 0.0004988266259339817, 0.017509914307444356, 0.0281262537021221, 0.000003930965414084453, 0.0004141226014907065, 0.005218280589167, 0.00005182859623772222, 0.08819081243684454, 0.0002572776420771225, 0.00039065646973120643, 0.00002721684968343814, 0.03177452148063029, 0.02499387073148014, 0.0012893469332015905, 0.00018889166972525307, 0.0595068764893369, 0.0010079095689503352, 0.05752026397412808, 0.000035589018909971544, 0.0016905497572251814, 0.00001752078216583123, 0.000016948834770960148, 0.025860339485459734, 0.000006732711798866277, 0.0066598280961239955, 0.11807820598929702, 0.001460089899557246, 0.02699828024188715, 0.11755368828809308, 0.0005223456379111557, 0.0021443347994360754, 0.00003363027790147999, 0.000020644800389121453, 9.632120424623465e-9, 0.00020920241696754978, 0.08996560584181981 ]
[ 1011, 1030, 1037, 1030, 1011, 1030, 7281, 5770, 2005, 1996, 2082, 1012, 2036, 2006, 2008, 2154, 1010, 1996, 4258, 2001, 2417, 2098, 17872, 2004, 1996, 7628, 5671, 4258, 1012, 7987, 2401, 11890, 3669, 4246, 2152, 2082, 2109, 1996, 4258, 2127, 2049, 2219, 2001, 3833, 1999, 2687, 1012, 102, 101, 102, 101, 1027, 1027, 9441, 1027, 1027, 102, 101, 102, 101, 3862, 9441, 1997, 1996, 18603, 2082, 2421, 3187, 1997, 1996, 2390, 4459, 9932, 4244, 1010, 6425, 18178, 22507, 1010, 1037, 3213, 1025, 1998, 3817, 1998, 5545, 4830, 11183, 1010, 2336, 1997, 9808, 11493, 2075, 6319, 4922, 4830, 11183, 1006, 3364, 1999, 1996, 3315, 13963, 1998, 1996, 2143, 1997, 1996, 2168, 2171, 1007, 1012, 2957, 13433, 8557, 4674, 1030, 1011, 1030, 14957, 1010, 2019, 10061, 3670, 2923, 3063, 1010, 3852, 2013, 1996, 2082, 1999, 4437, 1012, 4698, 8573, 11085, 14701, 2973, 2007, 9195, 14068, 17488, 2140, 2006, 3518, 17056, 8892, 2346, 1025, 2037, 2336, 10508, 1000, 24761, 9515, 1000, 1998, 9195, 1000, 12610, 2666, 1000, 1006, 13628, 1997, 2343, 1998, 3680, 1012, 8573, 1007, 3230, 1996, 18603, 2082, 1012, 2060, 3862, 9441, 2421, 2928, 2393, 6657, 1010, 1037, 3213, 2040, 3852, 1999, 3551, 1025, 1996, 2093, 2336, 1997, 20779, 7445, 19361, 1010, 3781, 1012, 1025, 2198, 24810, 12849, 9050, 2818, 1010, 1037, 1057, 1012, 1055, 1012, 3212, 2961, 2076, 1996, 4759, 2162, 1998, 1996, 2034, 7739, 4405, 2000, 4374, 1996, 3101, 1997, 3932, 1010, 2040, 2036, 2973, 1999, 18603, 1025, 3315, 4258, 4543, 2888, 1047, 7373, 4590, 1998, 2010, 2905, 2973, 1999, 9808, 11493, 2075, 1998, 3230, 1996, 2082, 2362, 1012, 11958, 8227, 1010, 2019, 3883, 1998, 3220, 1025, 6798, 1046, 1012, 2273, 8663, 2072, 1010, 1037, 3101, 10415, 10160, 1025, 6335, 16303, 4430, 21146, 3676, 13213, 1010, 2019, 3166, 1998, 1037, 2684, 1997, 8861, 1060, 1025, 1998, 2957, 20356, 1010, 1037, 3213, 2040, 3230, 2013, 4347, 2000, 3912, 2096, 2010, 2388, 4036, 6743, 2045, 1012, 102, 101, 102, 101, 1027, 1027, 16296, 2015, 1027, 1027, 102, 101, 102, 101, 16296, 2015, 2443, 1024, 102, 101, 102, 101, 1027, 1027, 3916, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 3487, 2056, 1027, 102, 101, 102, 101, 3487, 28380, 2063, 2056, 1006, 5640, 15498, 1024, 1031, 100, 100, 1033, 5640, 1024, 1270, 15394, 29836, 25573, 17149, 15394, 1298, 15394, 14498, 29830, 1282, 29830, 14498, 15394, 1010, 8909, 7652, 28380, 29714, 7842, 29714, 3593, 1025, 1015, 2281, 4437, 1516, 2423, 2244, 2494, 1007, 2001, 1037, 9302, 1030, 1011, 1030, 2137, 4706, 14833, 13465, 24108, 2078, 1010, 2934, 1997, 2394, 1010, 2381, 1998, 12596, 3906, 2012, 3996, 2118, 1010, 1998, 1037, 2270, 7789, 2040, 2001, 1037, 3910, 1997, 2695, 1030, 1011, 1030, 5336, 2913, 1012, 1037, 9302, 5424, 2141, 1999, 6744, 1999, 1996, 2420, 1997, 10915, 8976, 1010, 3487, 1059, 1012, 2056, 2001, 2019, 2137, 6926, 2011, 2126, 1997, 2010, 2269, 1010, 28380, 2099, 2056, 1010, 1037, 1057, 1012, 1055, 1012, 2390, 8003, 1997, 1996, 2034, 2088, 2162, 1025, 2383, 2333, 2013, 6744, 2004, 1037, 2402, 2879, 1010, 2056, 2052, 2101, 8175, 2005, 1996, 2576, 1998, 2529, 2916, 1997, 1996, 9302, 2111, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0011442827617261485, 0.03868748799545878, 0.000028008238044316602, 0.0001731784918920881, 0.06594840709852463, 0.02143607856367415, 0.000002099166659662624, 0.02294304180765323, 0.00009457440621506796, 0.000045264482430418583, 0.011540546917820783, 0.0028914545070630473, 8.451887508270856e-8, 0.008628936245433243, 0.001103429603110388, 0.022605507879650207, 0.012733459967844526, 0.0008158440712745581, 9.102618368174608e-9, 0.007710938743211219, 0.01814825536737549, 0.000010382234344754215, 0.036047029655656926, 0.000004290633788614955, 0.15003112757665815, 0.00004633519026060451, 0.0009882796334518816, 0.0017347907958056305, 0.003273159154522718, 9.102618368174608e-9, 0.0739510982896886, 0.19548675341762942, 0.0007763848582170661, 0.04310613033779946, 0.0336622545738088, 0.000009844993808253997, 0.00006288708243233802, 0.0007125642987156471, 0.056407155307238645, 9.102618368174608e-9, 0.009388122318500598, 0.003189187043820002, 0.000025012856461408786, 0.0068519444220942645, 1.948864935917329e-8, 0.009203892475296354, 0.13807647431595146, 0.000013615420881708792, 0.0002603463801068758, 9.102618368174659e-9 ]
[ 102, 101, 2004, 1037, 3451, 6232, 1010, 2056, 2003, 2124, 2005, 2010, 3301, 2338, 11481, 2964, 1010, 1037, 4187, 4106, 1997, 2054, 2002, 3373, 2000, 2022, 1996, 20547, 24949, 15066, 2008, 2024, 1996, 7888, 1997, 11481, 2964, 1517, 1996, 2530, 2817, 1997, 1996, 2789, 2088, 2008, 7534, 2129, 2530, 2545, 23084, 1998, 5050, 11481, 2015, 1012, 2056, 5275, 2008, 2138, 11481, 2923, 6566, 2001, 1998, 3464, 1999, 10288, 12412, 8231, 5079, 2000, 1996, 4461, 2923, 8384, 2008, 2550, 2009, 1010, 2172, 1997, 1996, 2147, 2003, 26096, 2576, 1998, 14262, 14762, 2063, 2000, 2373, 1010, 1998, 2061, 2003, 7789, 2135, 8343, 1012, 1996, 9459, 1997, 11481, 2964, 2003, 2008, 11481, 2964, 2003, 4225, 2011, 1996, 3653, 6342, 9397, 19234, 2015, 1997, 1996, 2576, 3226, 2041, 1997, 2029, 2009, 18653, 1010, 1998, 2008, 2009, 10466, 2008, 2576, 3226, 1999, 2049, 2735, 1012, 1999, 2010, 2338, 1010, 2056, 3065, 2129, 2647, 4461, 5130, 2245, 2055, 2111, 1999, 2037, 5701, 1010, 1998, 2011, 2725, 2061, 1010, 2002, 3065, 2129, 1996, 2576, 3226, 1997, 4461, 5130, 10466, 2008, 1997, 1996, 5701, 1012, 102, 101, 1996, 17826, 2944, 1997, 11481, 2964, 2172, 5105, 1996, 11406, 1006, 1041, 1012, 1043, 1012, 1010, 4706, 3399, 1998, 4706, 6256, 1007, 1998, 2926, 1996, 2492, 1997, 2690, 2789, 2913, 1010, 2073, 2009, 8590, 1996, 3834, 15152, 1997, 1996, 6950, 1517, 2129, 2027, 11628, 1010, 6235, 1998, 9375, 1996, 8578, 1997, 1996, 2690, 2264, 1012, 2070, 3834, 7862, 18335, 2007, 2010, 9459, 1010, 2926, 1996, 7819, 1516, 2137, 11481, 2923, 1998, 5272, 6795, 4572, 1012, 11481, 2964, 5173, 2013, 2056, 1005, 1055, 3716, 1997, 5336, 3906, 1006, 2107, 2004, 2008, 1997, 3312, 10931, 1007, 1010, 1996, 4706, 8106, 1997, 1054, 1012, 1052, 1012, 2304, 20136, 1998, 7638, 3766, 1010, 1996, 2695, 1030, 1011, 1030, 8332, 2923, 8106, 1997, 8709, 1042, 7140, 3540, 11314, 1998, 7445, 4315, 14615, 2050, 1010, 1998, 1996, 4187, 2573, 1997, 27699, 11201, 6916, 9153, 10967, 2080, 1010, 4980, 20372, 6895, 1998, 21448, 4748, 26295, 1012, 5161, 1999, 1996, 2530, 9330, 2012, 1037, 2329, 2082, 1999, 5279, 1998, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2056, 2626, 1999, 2010, 10828, 2041, 1997, 2173, 1006, 2639, 1007, 2008, 2002, 4162, 2010, 2495, 1998, 3451, 4348, 2015, 2000, 21978, 1996, 2566, 3401, 13876, 8787, 16680, 1997, 2576, 1998, 3451, 4824, 2090, 1996, 2225, 1998, 1996, 2690, 2264, 1010, 9229, 2530, 4824, 1997, 1996, 5611, 1516, 9302, 4736, 1998, 4129, 1997, 2129, 1037, 5476, 1030, 1011, 1030, 2146, 5779, 1999, 1996, 9302, 2120, 2473, 2081, 2032, 1037, 6801, 2270, 7789, 1012, 102, 101, 5059, 2013, 1996, 6322, 1997, 2010, 2155, 2004, 9302, 8135, 1999, 1996, 2690, 2264, 2012, 1996, 2051, 1997, 1996, 5069, 1997, 1996, 2110, 1997, 3956, 1010, 2056, 5275, 2005, 1996, 5069, 1997, 1037, 9302, 2110, 2000, 5676, 5020, 2576, 1998, 2529, 2916, 2005, 1996, 21524, 1999, 3956, 1010, 2164, 1996, 2157, 1997, 2709, 1010, 2011, 2126, 1997, 1057, 1012, 1055, 1012, 2576, 3778, 2588, 3956, 2000, 6807, 1010, 3946, 1998, 4847, 2529, 2916, 1012, 1999, 2008, 12818, 1010, 2056, 2036, 6367, 1996, 2576, 1998, 3451, 6043, 1997, 1996, 5424, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.003065427337401428, 0.011213366499066076, 0.006331022148430875, 0.06385484756943162, 0.033120884747105624, 0.09060957904264866, 9.958225245097938e-9, 0.0072529586294411644, 0.01932579409221081, 0.0003400048484426803, 0.1678257498350564, 0.02177763634756745, 0.006715147534614768, 0.0030137331048754614, 0.0001157507313921764, 0.0580039891850044, 0.02870419064915804, 0.0011038828021558728, 0.01014494141070338, 0.03823111963297166, 0.013774822359147655, 0.0005677067274419686, 0.059241839554024824, 0.0028700021387833333, 0.0012406354577147963, 0.012662767379478858, 0.00017883935858449223, 0.01866017176679164, 0.010552015081582823, 0.020237808620871326, 0.024352892858954398, 0.0010383428907691972, 0.03514925932501081, 0.00010106855667255803, 0.004207942237647421, 0.022602848542572655, 0.003780750233370512, 0.06671444610188006, 0.06289422845094425, 0.00025166941678952715, 0.000005312393835917227, 0.01265531957920294, 0.0014885870846892038, 0.00035186140082695797, 0.0003048938866301699, 0.000013757001602770138, 0.0010757426820775656, 0.039772561993941115, 0.0024106028307372407, 0.01009126798151934 ]
[ 5152, 25228, 2040, 6051, 2114, 1996, 2120, 5426, 1997, 2037, 7243, 1012, 2056, 2815, 7789, 2135, 3161, 2397, 1999, 2166, 1010, 2077, 5996, 1997, 25468, 1999, 2244, 2494, 1012, 1999, 1037, 2541, 4357, 1010, 2056, 22539, 2010, 4559, 2389, 2535, 2000, 1996, 3570, 22035, 1010, 1996, 2128, 22930, 1997, 2029, 2003, 1000, 2000, 9033, 6199, 1010, 2000, 3648, 1010, 2000, 6232, 4697, 1010, 2000, 5454, 1010, 2061, 2008, 3601, 1998, 4034, 2709, 2000, 1996, 3265, 1012, 1000, 2002, 3090, 2010, 7812, 2451, 2515, 2025, 4654, 2389, 2102, 1000, 4012, 5302, 4305, 10451, 5426, 1998, 15282, 3293, 3289, 1000, 1010, 2021, 5300, 1000, 7505, 5737, 3567, 8553, 1998, 15169, 1999, 1037, 2529, 1998, 11519, 2126, 1000, 1010, 2096, 21894, 2008, 1000, 2216, 2024, 3697, 3289, 2000, 6162, 1012, 2021, 1045, 2228, 2027, 2024, 9353, 4048, 13331, 3468, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 8308, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2220, 2166, 1027, 1027, 1027, 102, 101, 102, 101, 3487, 1059, 1012, 2056, 2001, 2141, 2006, 1015, 2281, 4437, 1010, 2000, 21589, 2056, 1998, 28380, 2099, 2056, 1010, 1037, 6883, 1010, 1999, 6744, 1999, 1996, 2329, 11405, 1997, 8976, 1012, 28380, 2099, 2056, 1010, 1037, 3128, 9302, 1010, 2001, 2019, 5424, 3017, 2158, 2040, 5268, 2098, 1999, 1996, 1057, 1012, 1055, 1012, 2390, 6922, 1997, 1996, 2137, 15372, 2749, 1006, 4585, 1516, 2539, 1007, 1010, 6311, 2011, 2236, 2198, 1046, 1012, 2566, 12227, 1010, 1999, 1996, 2034, 2088, 2162, 1025, 2008, 2162, 1030, 1011, 1030, 2051, 2510, 2326, 4379, 2056, 23976, 1057, 1012, 1055, 1012, 9068, 2000, 2032, 1998, 2000, 2155, 1012, 2010, 2388, 21589, 2001, 2141, 2000, 1037, 12592, 2388, 1998, 2992, 1999, 27192, 1012, 102, 101, 1999, 4529, 1010, 2044, 1996, 2162, 2018, 3092, 1010, 28380, 2099, 2056, 2511, 1037, 2276, 7301, 2449, 1999, 11096, 1010, 1999, 5386, 2007, 1037, 5542, 1012, 2066, 2014, 3129, 1010, 21589, 2056, 2001, 2019, 5424, 3017, 1012, 2348, 1996, 2056, 2155, 9051, 1996, 6744, 4221, 3528, 1997, 3306, 6244, 7988, 1010, 3487, 2001, 12943, 28199, 1025, 2010, 2905, 3123, 7849, 2666, 2056, 23564, 7317, 2319, 1006, 4347, 1516, 2294, 1007, 9505, 2019, 3834, 2476, 1010, 2172, 2066, 2014, 2567, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2495, 1027, 1027, 1027, 102, 101, 102, 101, 2056, 2649, 2010, 2220, 2166, 2004, 1037, 2879, 1005, 1055, 2166, 2973, 1000, 2090, 8484, 1000, 1010, 1999, 11096, 1998, 1999, 6744, 1010, 2127, 2002, 2001, 1037, 2402, 2158, 1997, 4376, 2086, 1012, 1999, 4006, 1010, 2056, 8302, 1999, 1996, 9437, 2358, 1012, 2577, 1005, 1055, 2082, 1010, 6744, 1025, 2002, 2052, 2101, 6235, 1996, 3325, 1024, 102, 101, 2007, 2019, 16655, 2595, 24422, 3973, 5424, 2155, 2171, 2066, 1000, 2056, 1000, 1010, 4198, 2000, 2019, 17727, 3217, 3676, 6321, 2329, 2034, 2171, 1006, 2026, 2388, 2172, 12749, 1031, 3487, 9937, 1033, 1996, 3159, 1997, 3575, 1999, 4437, 1010, 1996, 2095, 1997, 2026, 4182, 1007, 1010, 1045, 2001, 2019, 22502, 2019, 9626, 15534, 3076, 2035, 2083, 2026, 2220, 2086, 1024, 1037, 9302, 2183, 2000, 2082, 1999, 5279, 1010, 2007, 2019, 2394, 2034, 2171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.013644534514552763, 0.00010280193014828754, 0.06169960412198542, 1.092715846893147e-8, 0.000115956498914086, 1.092715846893147e-8, 0.0476461891335503, 0.0009720475940959341, 0.00720672468609166, 0.002167968176505738, 0.00007700165858946321, 0.2094464651464721, 0.005202649267845354, 0.0001697604041678894, 0.00002445019633438766, 0.07428097826940054, 0.08382260749968812, 0.02952704733807245, 0.002179173246699189, 0.00010949585329908178, 0.0012099180725947073, 0.013515280042752688, 0.000030876606546940434, 0.02789950399201362, 0.004806593410725037, 0.01667311898085464, 0.10577903333574531, 0.0019131569557026156, 1.0927160229648447e-8, 0.03866693972529526, 1.092715846893147e-8, 0.00010228983421894667, 0.009438774147972492, 1.092715846893147e-8, 0.05144492113500613, 0.0008196081798834252, 0.000003107440788873971, 0.13077045122797343, 0.0011806293129869657, 0.0015892050616778625, 0.0019910444426710252, 1.092715846893147e-8, 0.04673348272396966, 0.000005453625971596877, 0.0013320020000494688, 0.0006008393761792952, 0.00003683048758102325, 0.0025995622662910818, 0.0024573571677470275, 0.000004499347435473006 ]
[ 1010, 2019, 2137, 12293, 1010, 1998, 2053, 3056, 4767, 1010, 2012, 2035, 1012, 2000, 2191, 5609, 4788, 1010, 5640, 1010, 2026, 3128, 2653, 1010, 1998, 2394, 1010, 2026, 2082, 2653, 1010, 2020, 1999, 10288, 12412, 8231, 3816, 1024, 1045, 2031, 2196, 2124, 2029, 2001, 2026, 2034, 2653, 1010, 1998, 2031, 2371, 3929, 2012, 2188, 1999, 4445, 1010, 2348, 1045, 3959, 1999, 2119, 1012, 2296, 2051, 1045, 3713, 2019, 2394, 6251, 1010, 1045, 2424, 2870, 17142, 2009, 1999, 5640, 1010, 1998, 3580, 18601, 1012, 102, 101, 1999, 1996, 2397, 7675, 1010, 2010, 3732, 2082, 2420, 2443, 1996, 6811, 3589, 1997, 3848, 2267, 1006, 18315, 1007, 1010, 2073, 2028, 23175, 2001, 8709, 21146, 23743, 2497, 1006, 2101, 1996, 3364, 13192, 20351, 1007, 3183, 2002, 4622, 2004, 1037, 6517, 6553, 1998, 8186, 20676, 2132, 2879, 1025, 2060, 19846, 2443, 2332, 16543, 1997, 5207, 1010, 1998, 6811, 1010, 9042, 1010, 26276, 1010, 1998, 8174, 13771, 3337, 3005, 3834, 10922, 12506, 2000, 2037, 3352, 7767, 1010, 3539, 7767, 1010, 1998, 2877, 17353, 1999, 2037, 7972, 3032, 1012, 1999, 2008, 5336, 2051, 1010, 1996, 18315, 2082, 5161, 1037, 4989, 1997, 5424, 1998, 24485, 3170, 2402, 2273, 2000, 2468, 1996, 17076, 10415, 3550, 6996, 1030, 1011, 1030, 2465, 2040, 1010, 1999, 2349, 2607, 1997, 2037, 10922, 1010, 2020, 2000, 3627, 2037, 7972, 3032, 1010, 2588, 2329, 21933, 7811, 3989, 1012, 18315, 2052, 2022, 1996, 2197, 2082, 3487, 2056, 3230, 2077, 2108, 2741, 2000, 2082, 1999, 1996, 1057, 1012, 1055, 1012, 1024, 102, 101, 1996, 2617, 2028, 2150, 1037, 3076, 2012, 1031, 3848, 2267, 1033, 1010, 2028, 2001, 2445, 1996, 3076, 14812, 1010, 1037, 2186, 1997, 7040, 8677, 2296, 7814, 1997, 2082, 2166, 1517, 1996, 2785, 1997, 6375, 2057, 2020, 2000, 4929, 1010, 2054, 3941, 2001, 2734, 2005, 2998, 1010, 1996, 5246, 1997, 2082, 11938, 1010, 3902, 20283, 1010, 1998, 2061, 2006, 1012, 2021, 1996, 2082, 1005, 1055, 2034, 3627, 1010, 7861, 28522, 15975, 2094, 2006, 1996, 3098, 3931, 1997, 1996, 14812, 1010, 3191, 1024, 1000, 2394, 2003, 1996, 2653, 1997, 1996, 2082, 1025, 2493, 3236, 4092, 2151, 2060, 2653, 2097, 2022, 14248, 1012, 1000, 2664, 1010, 2045, 2020, 2053, 3128, 7492, 1997, 2394, 2426, 1996, 2493, 1012, 6168, 1996, 5972, 2020, 2035, 2329, 1010, 2057, 2020, 1037, 9587, 18492, 3626, 1997, 14560, 1997, 2536, 7957, 1010, 20337, 1010, 13176, 1010, 16773, 1010, 5181, 1010, 1998, 12896, 1010, 2169, 1997, 3183, 2018, 1037, 3128, 2653, 2008, 1996, 2082, 2018, 12045, 29131, 1012, 2664, 2035, 1010, 2030, 3053, 2035, 1010, 1997, 2149, 3764, 5640, 1517, 2116, 3764, 5640, 1998, 2413, 1517, 1998, 2061, 2057, 2020, 2583, 2000, 2202, 9277, 1999, 1037, 2691, 2653, 1010, 1999, 19674, 1997, 2054, 2057, 8690, 2004, 2019, 4895, 29427, 5336, 9384, 5397, 1012, 102, 101, 2750, 2152, 4454, 1998, 3834, 10106, 1010, 2056, 4928, 1037, 13460, 8462, 3076, 1998, 2001, 10016, 2013, 3848, 2267, 1999, 4131, 1010, 1998, 2001, 2741, 2013, 5279, 2000, 1996, 2789, 1057, 1012, 1055, 1012, 1010, 2073, 2002, 3230, 2167, 3790, 4057, 2014, 8202, 2082, 1010, 4404, 1010, 2019, 7069, 2267, 1030, 1011, 1030, 17463, 9405, 1030, 1011, 1030, 2082, 2073, 2002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.009277212923216068, 0.00015610867441454024, 0.000490422549277, 9.549715319914683e-7, 0.000006627032964464271, 0.0002744031862649622, 0.01843574301152337, 0.00013694032965212903, 9.957580706192732e-9, 0.002049455259381706, 9.957580706192732e-9, 0.11143994478243556, 0.0009656768809219972, 0.0343980873983985, 0.007554693794245732, 0.03826100791560749, 0.001126043271161809, 0.000057115465489724895, 0.00647324724246198, 0.004770540639850903, 0.000005829529319751156, 0.005599534783162503, 0.0014777195493713435, 0.0024294065272357375, 0.0027168623066388506, 0.04384585248048181, 0.015002652216977556, 0.00026686539992138114, 0.00021451039443771912, 0.000783505470508296, 0.009777796403337837, 0.01566045567658459, 0.03146048505379109, 0.04728353293229987, 0.004187712431254617, 0.00018383438287019417, 0.12969221264485065, 0.07146255961821747, 0.013480151283008092, 0.00453934894428306, 0.000009167927838431758, 0.01726955920761642, 0.05280386350009539, 0.07153857411872727, 0.0024218373144566114, 0.04863786263320784, 0.020905599163016028, 1.9498147008609905e-7, 0.050593291295759825, 0.09987497658529815 ]
[ 16753, 1037, 8317, 2135, 3697, 2095, 1997, 2591, 7344, 3370, 1012, 9690, 1010, 2056, 23081, 3834, 3973, 1010, 1998, 4719, 1996, 4635, 1997, 2593, 2034, 1006, 10380, 29201, 11069, 2078, 1007, 2030, 2117, 1006, 16183, 13210, 29469, 2319, 1007, 1999, 1037, 2465, 1997, 2028, 3634, 8442, 2493, 1012, 102, 101, 2002, 2052, 2101, 2360, 2008, 1010, 1999, 22307, 13102, 22471, 1010, 2010, 3008, 1005, 3247, 2000, 4604, 2032, 2061, 2521, 2013, 1996, 2690, 2264, 2001, 2172, 5105, 2011, 1000, 1996, 16746, 1997, 4315, 6305, 15833, 2111, 1010, 2066, 2149, 1010, 2108, 2061, 9662, 2008, 2009, 2052, 2022, 2190, 2000, 4604, 2033, 2004, 2521, 2185, 2004, 2825, 1000, 1012, 1996, 22213, 1997, 1037, 2566, 11514, 3686, 4588, 2166, 1517, 1997, 6970, 12155, 8159, 8578, 1010, 1997, 3110, 2041, 1997, 2173, 1010, 1998, 1997, 2108, 2521, 2013, 2188, 1517, 5360, 1996, 2082, 11097, 2056, 2000, 1996, 3014, 2008, 1010, 1999, 4639, 2166, 1010, 1996, 6991, 1997, 4487, 7092, 6651, 14678, 10375, 1999, 1996, 3834, 1010, 2576, 1010, 1998, 7789, 2573, 2626, 1012, 2056, 9677, 2094, 2004, 2019, 7789, 1517, 1037, 26572, 23296, 4140, 2402, 2158, 1010, 19376, 1999, 2394, 1010, 2413, 1998, 5640, 1010, 7414, 2010, 5065, 1997, 2840, 1998, 3040, 1997, 2840, 5445, 2013, 9173, 2118, 1999, 3890, 1998, 3624, 4414, 1010, 2628, 2011, 1037, 3460, 1997, 4695, 1999, 2394, 3906, 2013, 5765, 2118, 1999, 3546, 1012, 2750, 2010, 2116, 7789, 10106, 1010, 2056, 1005, 1055, 2645, 2007, 2010, 4767, 2004, 2009, 3141, 2000, 2653, 1006, 5640, 1998, 2394, 4919, 1007, 2506, 2802, 2010, 4639, 2166, 1012, 2002, 15841, 1996, 2645, 2007, 2653, 1999, 2119, 2041, 1997, 2173, 1006, 2639, 1007, 1998, 16055, 2006, 8340, 1006, 2526, 1007, 2011, 2009, 7851, 2004, 2242, 2002, 2018, 2000, 4287, 2007, 2032, 2802, 2010, 2166, 1998, 2476, 1012, 2116, 1997, 2010, 12746, 2036, 8920, 2023, 3327, 7814, 1997, 2010, 4767, 2004, 7789, 8716, 1006, 1997, 2653, 1010, 21793, 2015, 1010, 2426, 2060, 2477, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2476, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 3699, 1010, 2056, 2587, 3996, 2118, 1010, 2004, 1037, 2266, 1997, 1996, 2394, 1998, 12596, 3906, 18658, 1010, 2073, 2002, 4036, 1998, 2499, 2127, 2494, 1012, 1999, 3326, 1010, 2002, 2001, 5873, 2934, 1997, 12596, 3906, 2012, 5765, 1025, 2076, 3339, 1516, 6146, 1010, 2002, 2001, 1037, 3507, 1997, 1996, 2415, 2005, 3935, 2817, 1999, 14260, 2671, 1010, 2012, 8422, 2118, 1012, 1999, 3355, 1010, 2002, 2150, 1996, 11968, 2099, 2934, 1997, 2394, 1998, 12596, 3906, 2012, 3996, 2118, 1010, 1998, 3525, 2001, 1996, 2214, 13738, 3192, 2934, 1999, 1996, 11406, 1010, 1998, 2059, 1999, 3245, 2001, 5873, 2934, 1997, 11406, 2012, 11545, 10239, 2118, 1012, 2056, 2036, 2499, 2004, 1037, 5873, 2934, 2012, 7996, 2118, 1010, 1998, 19206, 2012, 2060, 5534, 1012, 2056, 19206, 2012, 2058, 3263, 5534, 1999, 1996, 2690, 2264, 1010, 2710, 1010, 2142, 2163, 1010, 1998, 2885, 1012, 2002, 2038, 2405, 2062, 3174, 2808, 1999, 2010, 6480, 1012, 1999, 2826, 1010, 2056, 2001, 3755, 2000, 1000, 2934, 1000, 1010, 1996, 3284, 1030, 1011, 1030, 4635, 3834, 3105, 2012, 3996, 2118, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1.0809829161461133e-8, 0.08425979549739347, 0.00003749777243414189, 0.000060418344324106665, 0.002679821393437896, 0.005669963580993129, 1.0809829161461133e-8, 0.023060082495384753, 0.0570066022209228, 0.00006445472275430464, 0.0005268375091075329, 0.0005717394018731724, 0.09047691035761889, 0.000744048286716023, 0.02666450884412624, 0.0031081276777678844, 0.00011539115429787742, 0.041331386794355454, 0.0007242075353469946, 0.037864360042959976, 0.057461989880822524, 0.0034206323550749814, 0.009180089385076577, 0.0035523830198165548, 0.0016554479001031877, 0.00009834898556490759, 0.03406381060677128, 0.03224231627118662, 0.008838476743455658, 0.00024272546406132407, 0.01990995277854974, 0.002512236909533574, 0.0002357591510101133, 0.10247334439080079, 0.03334180536704973, 0.072221503890542, 0.0010361105389861218, 0.013400438154815486, 2.1168459897840895e-7, 0.0004925928013432448, 0.08120147783072161, 0.000015038421251790065, 0.000013770053227820962, 0.0000033331732650794572, 0.07988074583203429, 0.00019351679839062647, 0.0071417106443350115, 0.05067184587055804, 0.00949492970236167, 0.000037280143217678563 ]
[ 8368, 2135, 1010, 11268, 1012, 2056, 2366, 2004, 2343, 1997, 1996, 2715, 2653, 2523, 1010, 3559, 1997, 1996, 5424, 2913, 12174, 1999, 1996, 2137, 2914, 1997, 2840, 1998, 4163, 1010, 2006, 1996, 3237, 2604, 1997, 2248, 7279, 1010, 1998, 2001, 1037, 2266, 1999, 1996, 2137, 2914, 1997, 2840, 1998, 4144, 1010, 1996, 2548, 2554, 1997, 3906, 1010, 1996, 2473, 1997, 3097, 4262, 1996, 2137, 9569, 2554, 1012, 1999, 2857, 1010, 2056, 3591, 1996, 4035, 1005, 1055, 3296, 24964, 2705, 8921, 1010, 1037, 2416, 1030, 1011, 1030, 8835, 2186, 4159, 6630, 1997, 1996, 7789, 1010, 16726, 2002, 8920, 1996, 2535, 1997, 1996, 2270, 7789, 1999, 3824, 2554, 1010, 2029, 1996, 4035, 2405, 1999, 2249, 1012, 102, 101, 102, 101, 1027, 1027, 4706, 2537, 1027, 1027, 102, 101, 102, 101, 2056, 1005, 1055, 2034, 2405, 2338, 1010, 3312, 10931, 1998, 1996, 4349, 1997, 10828, 1006, 3547, 1007, 1010, 2001, 2019, 4935, 1997, 1996, 14481, 2002, 3591, 2000, 7796, 2010, 8065, 1025, 2101, 1010, 1999, 3487, 2056, 1024, 6256, 1998, 2554, 1006, 2230, 1007, 1010, 19935, 7895, 13890, 16543, 2052, 17674, 2008, 10931, 1005, 1055, 20674, 2540, 1997, 4768, 1006, 6166, 1007, 2001, 1000, 3192, 2389, 2000, 2056, 1005, 1055, 2972, 2476, 1998, 2622, 1000, 1012, 5728, 1010, 2056, 2417, 18908, 2098, 4784, 1043, 20898, 2098, 2013, 1996, 2573, 1997, 1996, 5550, 1030, 1011, 1030, 2301, 9667, 27699, 11201, 6916, 9153, 10967, 2080, 1010, 1998, 2060, 17412, 1010, 1999, 1996, 2338, 16508, 1024, 6808, 1998, 4118, 1006, 3326, 1007, 1010, 2055, 1996, 9373, 7888, 1997, 4706, 6256, 1012, 2056, 1005, 1055, 2101, 2573, 2421, 1996, 2088, 1010, 1996, 3793, 1010, 1998, 1996, 6232, 1006, 3172, 1007, 1010, 14594, 1010, 5336, 2964, 1010, 1998, 3906, 1024, 6300, 11149, 1998, 21933, 7811, 3989, 1006, 2997, 1007, 1010, 3226, 1998, 28087, 1006, 2857, 1007, 1010, 15066, 1997, 1996, 7789, 1024, 1996, 2857, 24964, 2705, 8921, 1006, 2807, 1007, 1010, 2529, 2964, 1998, 3537, 6256, 1006, 2432, 1007, 1010, 1998, 2006, 2397, 2806, 1006, 2294, 1007, 1012, 102, 101, 2066, 2010, 2695, 1030, 1011, 1030, 2715, 7789, 10779, 2015, 1010, 1996, 17586, 7445, 4315, 14615, 2050, 1998, 8709, 1042, 7140, 3540, 11314, 1010, 2056, 2001, 15677, 2011, 2129, 1996, 2111, 1997, 1996, 2530, 2088, 23084, 1996, 7243, 1997, 1998, 1996, 2477, 2013, 1037, 2367, 3226, 1010, 2004, 2092, 2004, 1996, 3896, 1997, 2554, 1010, 4331, 1010, 1998, 2373, 2588, 3906, 1025, 2122, 3653, 10085, 15569, 10708, 2419, 2032, 2000, 2468, 1037, 4889, 7789, 1997, 2695, 1030, 1011, 1030, 5336, 6256, 1012, 2096, 11481, 2964, 3464, 2010, 4054, 3451, 6691, 1010, 2056, 1005, 1055, 6383, 4187, 15931, 1997, 1996, 2573, 1997, 3312, 10931, 1010, 4869, 24177, 1010, 18254, 4232, 11382, 14353, 1010, 2520, 7055, 6300, 11149, 1998, 2500, 2582, 8945, 29576, 2098, 2010, 7789, 5891, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 11481, 2964, 1027, 1027, 1027, 102, 101, 102, 101, 3487, 2056, 1005, 1055, 2025, 8010, 2004, 3451, 6232, 2001, 2511, 2007, 2010, 16218, 1006, 6412, 1998, 16478, 1007, 1997, 11481, 2964, 2004, 1996, 3120, 1997, 1996, 24949, 3451, 15066, 2008, 2024, 1996, 3192, 1997, 2530, 2245, 2875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0028700068184954056, 0.0027880405279004407, 0.00003754074843236349, 1.0040140481646736e-8, 0.0009323668079051629, 0.0022137129854726133, 0.002449385473844234, 0.0002784950016757488, 0.00030874609726479186, 0.12098901783002361, 0.026281427899755877, 0.026327055454483567, 0.025514260451056384, 1.0040140481646736e-8, 0.009140909850094315, 0.00003149187330449218, 0.06201398613462176, 0.0011873734610584115, 0.0022747268030126546, 8.023036452874446e-7, 0.00001842506068676952, 0.1085598740243822, 0.06730342104950215, 0.0001992876472212718, 0.0024355193712525566, 0.03231222417471826, 0.007644864664745323, 0.0015981753752355595, 0.07777682252451334, 0.016917713544307215, 0.052908344703804025, 0.005890833156041747, 1.0040140481646736e-8, 0.013875576940443616, 0.05944603205619018, 0.08099448435466913, 0.04403976824596747, 0.04544143910162268, 0.0016277818742957478, 0.00017044127659470202, 0.00009140369061070135, 0.003388042483480762, 0.0063327571972226285, 0.0004125637449218102, 0.05856156334784659, 0.00048740026066459286, 0.00019508278555051224, 0.0017144916569353393, 0.01711903713490372, 0.0068972519092008145 ]
[ 1996, 2690, 2264, 1010, 1997, 2129, 1996, 2225, 23084, 2015, 1998, 5836, 1996, 2264, 1012, 1996, 9459, 1997, 11481, 2964, 1006, 3301, 1007, 17146, 1996, 4598, 1997, 1037, 1000, 11259, 1998, 14516, 9944, 22461, 18024, 2114, 5424, 2080, 1516, 5499, 7243, 1998, 2037, 3226, 1000, 1010, 2029, 12153, 2013, 2530, 3226, 1005, 1055, 2146, 4535, 1997, 6270, 1998, 6298, 3550, 4871, 1997, 4021, 1010, 1999, 2236, 1010, 1998, 1996, 2690, 2264, 1010, 1999, 3327, 1012, 2056, 5275, 2008, 2107, 23271, 1998, 9530, 3366, 15417, 3451, 15066, 2031, 2366, 1010, 1998, 3613, 2000, 3710, 1010, 2004, 24655, 19777, 2015, 2005, 1996, 5336, 1998, 4461, 2923, 19509, 1997, 1996, 2647, 4204, 1998, 1997, 1996, 1057, 1012, 1055, 1012, 10655, 1010, 2056, 2036, 6367, 1998, 17787, 1996, 2576, 1998, 1996, 3451, 15451, 18098, 28804, 2229, 1997, 1996, 25228, 1997, 1996, 6996, 5424, 27021, 2040, 2031, 4722, 3550, 1996, 6270, 1010, 6298, 3550, 15066, 1997, 5640, 3226, 2008, 2020, 2580, 2011, 7819, 1516, 2137, 11481, 5130, 1012, 102, 101, 2061, 2521, 2004, 1996, 2142, 2163, 3849, 2000, 2022, 4986, 1010, 2009, 2003, 2069, 1037, 7263, 15849, 12259, 3672, 2000, 2360, 2008, 9587, 25016, 5244, 1998, 14560, 2024, 7687, 2464, 2004, 2593, 3514, 20141, 2030, 4022, 15554, 1012, 2200, 2210, 1997, 1996, 6987, 1010, 1996, 2529, 4304, 1010, 1996, 6896, 1997, 5424, 1516, 9587, 25016, 2213, 2166, 2038, 3133, 1996, 7073, 1997, 2130, 2216, 2111, 3005, 9518, 2009, 2003, 2000, 3189, 1996, 5424, 2088, 1012, 2054, 2057, 2031, 1010, 2612, 1010, 2003, 1037, 2186, 1997, 13587, 1010, 6827, 3550, 2482, 5555, 22662, 1997, 1996, 5499, 2088, 1010, 3591, 1999, 2107, 1037, 2126, 2004, 2000, 2191, 2008, 2088, 8211, 2000, 2510, 14974, 1012, 102, 101, 1999, 11481, 2964, 1010, 2056, 27481, 2098, 2008, 2172, 2530, 2817, 1997, 5499, 10585, 2001, 2576, 7789, 2964, 3214, 2005, 2969, 1030, 1011, 1030, 21358, 27972, 3370, 1010, 2738, 2084, 2005, 7863, 7789, 9934, 1998, 3834, 2817, 1012, 2947, 1010, 11481, 2913, 20903, 2004, 1037, 6742, 4118, 1997, 3451, 9147, 1998, 4461, 2923, 17882, 1025, 1045, 1012, 1041, 1012, 1010, 1996, 2530, 11481, 2923, 4282, 2062, 2055, 1996, 16865, 2084, 2079, 1996, 11481, 2015, 1012, 2004, 2107, 1010, 11481, 2964, 2038, 4654, 28728, 2172, 4254, 2588, 1996, 4249, 1997, 4706, 3399, 1998, 3451, 2913, 1010, 2529, 10505, 1998, 2381, 1010, 1998, 11481, 2913, 1012, 20254, 2013, 1996, 9569, 2573, 1997, 7445, 4315, 14615, 2050, 1998, 8709, 1042, 7140, 3540, 11314, 1010, 1998, 1996, 2573, 1997, 1996, 2220, 2530, 4401, 1997, 11481, 2964, 1517, 2107, 2004, 10298, 2474, 3775, 2546, 14841, 3676, 9148, 1010, 2019, 7140, 2906, 19935, 2884, 1030, 1011, 1030, 3287, 2243, 1010, 20446, 2063, 8473, 7076, 2239, 1010, 1998, 2957, 2520, 2670, 1006, 2530, 5328, 1997, 7025, 1999, 1996, 2690, 5535, 1010, 3301, 1007, 1517, 2056, 5275, 2008, 1000, 11481, 2964, 1000, 1998, 1996, 5173, 23271, 1997, 1000, 1996, 2264, 1000, 2011, 1000, 1996, 2225, 1000, 16405, 2099, 12417, 2098, 1999, 2068, 2024, 7789, 2135, 8343, 1010, 1998, 3685, 2022, 3970, 2012, 2037, 2227, 3643, 2004, 11633, 1010, 2995, 1010, 1998, 8321, 15066, 1997, 11481, 7243, 1998, 2477, 1012, 2056, 3818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.09528016514533992, 0.000012870229315994167, 0.024717299134905363, 0.060532352538465735, 0.011499945166202034, 9.597733859458222e-8, 8.594746117646696e-9, 0.015862917515152716, 0.000013208665599005682, 0.00019143829485571603, 0.033630448527597896, 0.03524124015588245, 0.03185773804505848, 0.005511774066907924, 0.0013272871824161058, 0.10231408723659126, 0.000015943131728065904, 0.00001908066951028396, 0.014129024476074694, 0.0013149341728721053, 0.001518794300831564, 0.00014388045528015633, 0.04502096128651576, 0.006542158113839233, 0.011027353964127816, 0.01245716834354178, 0.04279022115924537, 0.03453400257321546, 0.00005383920330006055, 0.0301648351393409, 8.594746117646696e-9, 8.594746117646696e-9, 0.04825239117444547, 0.004205584556091468, 0.00007908647145870848, 0.002016687043253989, 0.14844871685963196, 0.000453094548608036, 0.016052975842676228, 0.0001598755036379695, 2.5122298959283946e-7, 0.00006235152209213341, 0.006260450628989676, 0.07229933215056053, 0.0019688496807825076, 0.020277623113302334, 0.00553779878070932, 0.024330380883268794, 0.017407645208490804, 0.014461814153719584 ]
[ 2008, 1996, 2381, 1997, 2647, 5336, 3627, 1010, 1998, 2049, 9530, 3366, 15417, 2576, 17882, 1997, 1996, 2789, 24784, 1010, 4487, 23809, 3215, 1996, 3015, 1997, 2130, 1996, 2087, 3716, 3085, 1010, 2092, 1030, 1011, 1030, 3574, 1010, 1998, 20547, 13026, 2530, 11481, 5130, 1010, 17903, 1000, 11481, 2964, 1000, 2046, 1037, 21877, 5558, 18514, 2744, 1012, 102, 101, 1045, 4797, 2065, 2009, 2003, 6801, 1010, 2005, 2742, 1010, 2000, 2360, 2008, 2019, 25244, 1999, 2634, 1010, 2030, 5279, 1010, 1999, 1996, 2101, 9137, 2301, 1010, 2165, 2019, 3037, 1999, 2216, 3032, 1010, 2029, 2001, 2196, 2521, 2013, 2037, 3570, 1010, 1999, 2010, 2568, 1010, 2004, 2329, 8355, 1012, 2000, 2360, 2023, 2089, 4025, 3243, 2367, 2013, 3038, 2008, 2035, 3834, 3716, 2055, 2634, 1998, 5279, 2003, 5064, 22683, 1998, 7622, 2007, 1010, 14424, 2011, 1010, 1996, 7977, 2576, 2755, 1517, 1998, 2664, 2008, 2003, 2054, 1045, 2572, 3038, 1999, 2023, 2817, 1997, 11481, 2964, 1012, 102, 101, 2005, 2056, 1010, 1000, 1996, 16865, 1000, 2038, 2042, 3421, 2144, 16433, 1999, 1996, 2530, 3906, 1010, 4169, 1998, 6743, 1999, 1996, 2433, 1997, 22807, 1012, 2004, 2019, 2742, 1010, 2002, 17248, 1996, 3306, 10576, 1996, 27229, 1006, 4700, 2475, 4647, 1007, 1010, 2011, 29347, 11624, 18871, 1010, 2073, 1996, 10191, 11896, 1998, 4212, 2138, 2002, 28616, 4842, 3401, 3512, 2094, 1996, 2995, 3267, 1997, 1996, 2264, 1012, 9530, 18532, 17822, 8486, 2135, 1010, 2885, 2038, 10317, 6817, 4021, 2000, 1996, 3014, 2008, 2130, 1996, 2087, 15436, 2135, 7863, 2530, 6981, 2055, 1000, 1996, 16865, 1000, 2024, 20547, 25352, 2000, 1037, 3014, 4895, 2890, 3597, 29076, 5422, 2011, 2530, 5784, 1010, 2040, 29223, 2005, 3209, 1996, 7789, 8518, 1997, 5702, 1010, 11131, 1998, 25455, 1996, 4155, 1010, 15215, 1998, 8578, 1997, 1996, 16865, 1025, 8558, 20242, 2008, 2107, 1006, 4942, 2389, 16451, 1007, 7243, 2020, 19907, 1997, 4092, 2005, 3209, 1010, 1998, 2172, 2625, 5214, 1997, 16572, 2037, 2219, 3451, 1998, 3439, 22143, 1012, 2530, 11481, 5130, 2031, 2517, 4021, 1005, 1055, 2627, 1517, 2045, 2378, 15696, 1996, 2715, 15702, 1997, 4021, 1517, 2013, 1037, 7339, 2008, 21009, 1000, 1996, 2225, 1000, 2004, 1996, 3451, 13373, 2000, 7861, 9869, 1010, 2013, 2029, 1996, 1000, 12564, 1998, 16021, 26775, 23056, 1000, 11481, 2015, 14386, 3686, 1012, 102, 101, 11481, 2964, 5531, 2008, 2530, 3015, 2055, 1000, 1996, 16865, 1000, 11230, 1996, 11481, 3226, 2004, 2019, 23179, 1010, 5410, 1998, 10768, 25300, 5422, 1000, 2060, 1000, 1010, 2019, 25953, 4818, 4650, 6551, 22085, 2007, 1996, 11581, 1010, 2844, 1998, 14818, 3226, 1997, 1996, 1000, 2225, 1012, 1000, 2056, 2758, 2023, 7976, 12441, 1030, 1011, 1030, 7189, 12153, 2013, 1996, 2647, 8317, 2342, 2000, 3443, 1037, 1000, 4489, 1000, 1997, 3451, 16440, 2090, 1000, 1996, 2225, 1000, 1998, 1000, 1996, 2264, 1000, 1025, 2023, 16440, 2003, 7108, 2000, 10047, 28120, 3085, 3451, 1000, 11305, 2015, 1000, 16112, 2000, 1000, 11481, 1000, 7243, 1998, 2477, 1012, 1999, 3301, 1010, 1996, 7789, 1010, 3451, 1998, 3293, 3112, 1997, 1996, 2338, 11481, 2964, 5071, 3439, 17011, 1999, 1996, 5256, 1997, 1996, 3381, 10930, 2213, 11382, 9397, 3126, 2162, 1998, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.06981909599333246, 0.009667370108375716, 0.07008080175722824, 0.0030764354166397953, 0.013648437629260627, 0.06440254565620893, 0.0032266279421497295, 0.0068291192223410395, 0.0006786318876251504, 0.09340337614856067, 0.03437260479381263, 0.000005035716768456186, 9.644274211248964e-7, 0.0001058004960624772, 0.0022772533204745296, 0.0066400474660238155, 0.021421831817590744, 0.00240122849210597, 0.10110157314180696, 0.01770333809182117, 0.0000028034472442128234, 7.949940812691527e-9, 0.0329225927421291, 7.949940812691527e-9, 7.949940812691527e-9, 0.1190952089264687, 0.0005219609458767347, 0.0027820240810590537, 2.723528539295947e-7, 0.028049548577915535, 0.00027967849294470394, 0.005695840361826214, 0.07192169801494769, 0.025482222617643626, 0.00003280385931147009, 0.0349371006835593, 0.0001928658779828435, 0.0004979065918046724, 0.0019378701901971317, 0.0000018467245971419992, 0.0022261075605931875, 0.041195652124663806, 0.0882958409465042, 0.00437181260869519, 0.010476150482866384, 0.00003763080604729102, 7.949940812691527e-9, 0.0080989053693676, 0.00003549970839165787, 0.00004600457913502919 ]
[ 6728, 8586, 11540, 7861, 8237, 3995, 1012, 2122, 3522, 2824, 2018, 4527, 2530, 3032, 1024, 2885, 1998, 1996, 1057, 1012, 1055, 1012, 2106, 2025, 5987, 4013, 1030, 1011, 1030, 3161, 1010, 13079, 1998, 15764, 4506, 2013, 2512, 1516, 2530, 7243, 1010, 3183, 1996, 13165, 1997, 11481, 2964, 2018, 4225, 2004, 5410, 8384, 1998, 17727, 12184, 3372, 3032, 1012, 2005, 2056, 1010, 1996, 20248, 18155, 26116, 4507, 1997, 5611, 2510, 1998, 5424, 3171, 8309, 7645, 1996, 7214, 3267, 1997, 11481, 2923, 15066, 1998, 2530, 23271, 1997, 1996, 2512, 1516, 2530, 1000, 2060, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 6256, 1997, 11481, 2964, 1027, 1027, 1027, 102, 101, 102, 101, 11481, 2964, 1006, 3301, 1007, 19157, 2172, 2658, 1998, 3167, 6256, 1012, 3151, 11481, 5130, 1010, 2107, 2004, 4789, 3178, 7088, 1010, 2728, 5846, 17514, 1010, 14470, 16135, 10265, 1010, 6795, 4572, 1998, 22827, 2319, 5003, 3211, 3148, 1010, 22667, 2054, 1996, 5272, 14470, 16135, 10265, 2056, 2020, 15140, 2658, 8465, 1997, 11481, 2964, 2588, 1996, 2270, 1005, 1055, 10617, 1997, 1996, 7789, 3737, 1997, 2037, 11481, 2923, 6566, 1012, 102, 101, 14470, 16135, 10265, 2038, 3090, 2008, 2056, 1005, 1055, 2147, 2006, 11481, 2964, 1010, 5059, 2006, 4187, 3399, 1010, 2018, 3303, 1024, 102, 101, 2070, 15140, 8465, 1012, 1012, 1012, 1045, 2228, 2008, 2045, 2038, 2042, 1037, 11765, 1999, 1996, 2690, 2264, 1031, 2913, 1033, 2492, 2000, 11092, 1996, 2773, 1000, 11481, 2964, 1000, 2004, 1037, 18960, 8415, 1030, 1011, 1030, 2773, 1010, 7687, 7727, 2000, 2111, 2040, 2202, 1996, 1000, 3308, 1000, 2597, 2006, 1996, 5424, 1516, 5611, 7593, 1010, 2030, 2000, 2111, 2040, 2024, 13224, 1000, 2205, 4603, 1000, 1012, 2009, 2038, 2498, 2000, 2079, 2007, 3251, 2027, 2024, 2204, 2030, 2025, 2204, 1999, 2037, 12736, 1012, 2061, 1010, 1000, 11481, 2964, 1000, 1010, 2005, 2116, 2111, 1010, 2003, 1037, 2773, 2008, 29200, 2005, 2245, 1010, 1998, 12939, 2111, 2000, 19776, 3056, 5784, 1998, 2037, 2573, 1012, 1045, 2228, 2008, 2003, 2205, 2919, 1012, 2009, 2089, 2025, 2031, 2042, 2054, 3487, 2056, 3214, 1010, 2012, 2035, 1010, 2021, 1996, 2744, 2038, 2468, 1037, 2785, 1997, 14558, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 3439, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 1000, 1996, 2453, 3771, 7279, 1029, 3487, 2056, 1998, 1996, 3313, 4781, 1997, 2503, 1030, 1011, 1030, 2041, 5336, 2964, 1000, 1006, 2857, 1007, 1010, 1996, 2591, 21571, 8471, 21500, 19666, 2121, 2056, 2008, 2056, 1005, 1055, 18974, 2015, 2008, 1996, 2225, 6817, 1996, 2264, 2005, 2048, 27620, 2020, 4895, 6342, 9397, 11589, 3085, 1010, 2138, 1996, 6188, 3400, 2018, 2042, 1037, 2576, 1998, 2510, 5081, 2000, 2885, 2127, 1996, 2397, 5550, 2301, 1012, 1999, 1000, 4487, 21338, 21147, 2072, 2004, 2019, 11481, 2923, 1024, 1996, 6536, 7712, 2389, 10697, 1997, 3487, 2056, 1000, 1006, 2384, 1007, 1010, 2928, 7098, 2386, 2988, 2008, 2056, 19721, 2649, 1996, 2329, 3400, 2004, 8402, 2013, 5279, 2000, 2634, 1999, 1996, 2397, 3708, 2301, 1010, 2004, 1996, 6188, 3400, 1998, 1996, 4723, 3400, 2020, 7453, 3161, 1999, 2008, 20248, 18155, 26116, 2555, 1012, 102, 101, 1999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
[ 0.00035904931850688364, 0.02052411789579884, 0.004807678315527789, 0.00035707746119009845, 0.04660168941140294, 0.06018969102379189, 0.01769780881979644, 0.03381570926371766, 0.000024100684424463396, 0.0008736724988621237, 0.00007020401278181365, 0.02293385719063377, 0.07922500971939479, 0.053443483105085086, 0.19019980892920046, 0.017459917940942832, 0.000004778425099289418, 0.13836220284138556, 0.000002188833503779111, 0.0018819284392729474, 0.0000043199655241421914, 0.00041923021715514633, 0.00021295119853435325, 0.0014948887251382747, 0.00003744635795691713, 0.0017310822030003762, 0.002454922723112342, 0.00008340597451900318, 0.036396134525835795, 0.0006944091183507591, 0.0067703932625029955, 0.000049151935696446924, 0.0009603456548562737, 0.0028563379684448417, 0.000019629364688689432, 0.0002232789523858658, 0.015751739574409607, 0.024358803817838757, 0.009869367369827351, 0.05821637110345418, 0.000029961230254521267, 0.0000568787352555485, 0.0010260852392512867, 0.0006569853860883975, 0.0026242212135142986, 0.00003463142381652984, 0.04812486165199661, 0.00033231566818951253, 0.050892214347528185, 0.04478366096055354 ]
[ 3400, 1998, 2592, 1024, 4454, 7215, 1998, 2591, 4807, 1999, 2634, 1010, 15051, 1516, 6940, 1006, 2727, 1007, 1010, 5696, 5070, 3016, 2135, 2056, 2008, 1010, 2012, 1996, 4578, 1997, 2647, 28087, 1010, 2647, 2373, 1999, 1996, 16865, 2001, 2025, 7619, 1010, 1998, 2172, 17292, 2588, 2334, 21315, 1010, 2040, 2411, 4942, 26686, 1996, 20248, 18155, 26116, 9942, 1997, 1996, 2647, 4204, 2007, 3183, 2027, 8678, 2114, 2037, 2219, 7243, 1012, 1999, 2005, 11516, 1997, 4209, 1024, 1996, 11481, 5130, 1998, 2037, 6716, 1006, 2294, 1007, 1010, 2728, 5846, 17514, 2056, 2008, 8976, 1998, 5279, 2020, 3532, 3439, 4973, 1997, 11481, 2964, 1010, 2138, 2027, 2020, 2104, 2647, 2002, 3351, 8202, 2594, 2491, 2069, 2005, 2460, 6993, 1999, 1996, 2397, 3708, 1998, 2220, 3983, 4693, 1012, 2002, 3373, 2008, 2056, 6439, 2488, 4973, 1997, 11481, 2964, 1998, 28087, 1010, 8419, 1996, 2329, 11948, 1006, 8517, 1516, 4006, 1007, 1999, 2634, 1998, 3607, 1005, 1055, 4004, 13738, 2015, 1010, 2138, 2056, 4912, 2000, 3556, 2576, 2685, 2114, 1996, 2225, 1005, 1055, 4506, 1999, 1996, 2690, 2264, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 17859, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 1996, 2162, 1997, 4784, 2008, 12591, 2013, 1996, 2338, 1010, 7819, 1030, 1011, 1030, 2137, 11481, 2923, 6795, 4572, 2150, 1037, 3327, 7789, 21363, 1997, 2056, 1998, 2010, 9459, 1999, 11481, 2964, 1025, 2056, 2018, 4453, 4572, 1999, 1996, 2338, 2004, 1024, 102, 101, 1037, 3819, 4654, 6633, 24759, 9031, 1031, 1997, 2019, 1033, 5069, 11481, 2923, 1031, 3005, 2147, 1033, 16405, 14536, 11589, 2015, 2000, 2022, 7863, 1010, 4314, 6566, 1010, 2021, 2003, 1010, 1999, 4507, 1010, 2200, 2485, 2000, 2108, 10398, 2114, 2010, 3395, 3430, 1012, 102, 101, 2005, 11591, 18235, 27822, 2015, 3424, 1030, 1011, 1030, 7789, 2964, 1010, 16591, 27361, 2030, 16655, 12273, 29440, 2098, 2011, 1996, 15989, 7637, 1997, 4187, 2969, 1030, 1011, 1030, 8298, 1010, 2053, 2028, 1010, 1999, 2026, 3325, 1010, 2038, 4719, 1996, 28341, 7023, 1997, 6795, 4572, 1010, 3005, 2471, 11850, 2576, 20397, 5478, 2062, 2051, 2000, 5254, 2084, 2027, 2024, 4276, 1012, 1999, 1037, 2186, 1997, 4790, 1010, 1998, 2028, 3391, 5410, 2338, 1517, 1996, 5152, 5456, 1997, 2885, 1006, 3196, 1007, 1517, 4572, 2038, 2042, 5697, 14120, 2000, 2026, 6685, 1010, 22604, 2008, 1996, 2530, 8795, 2005, 3716, 2055, 2060, 8384, 2003, 4310, 1010, 2008, 2009, 2003, 12774, 2011, 5760, 10628, 1010, 1998, 2008, 1010, 1999, 5688, 1010, 7486, 4445, 2020, 2583, 4496, 4699, 1999, 2893, 3716, 2055, 2885, 1010, 2004, 2065, 3716, 2055, 2885, 2020, 1996, 2069, 11701, 19229, 2005, 2995, 3716, 1012, 102, 101, 4572, 1005, 1055, 9918, 2024, 3591, 2004, 7861, 5162, 3436, 7580, 2013, 1996, 6288, 1005, 1055, 9706, 10893, 14656, 17727, 8445, 4818, 3012, 1010, 6168, 1010, 2012, 1996, 2168, 2051, 1010, 2002, 2038, 2468, 2019, 3691, 4567, 2006, 2005, 3424, 1516, 5499, 1010, 3424, 1516, 5424, 1010, 21379, 1010, 1998, 3147, 2162, 16282, 2015, 1010, 2035, 1997, 2068, 2104, 15773, 2011, 1037, 27838, 23067, 11129, 1010, 3139, 2007, 1037, 2310, 19755, 1997, 3923, 3012, 1010, 2008, 2038, 2200, 2210, 1999, 2691 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.022136902647220253, 0.0013888619500650452, 0.006155653787088014, 0.00007307404530692245, 0.0013890385654240114, 0.01251887437845947, 0.0038449289373054234, 0.010665020965942087, 0.12169509301704316, 0.00008055940738320844, 0.04088577230454796, 0.002802429275371886, 0.022933761174341677, 0.0014606708756440849, 0.021806440767238602, 0.0017078277420634125, 0.052328474919024474, 0.153806211032458, 0.05344155549981465, 0.04365221287341452, 0.001125599349036054, 0.000497645159603408, 0.000006433914993125721, 0.018981704933623937, 0.0005065919286601624, 0.04707141790348542, 0.000003051181388012228, 0.008647800783875483, 0.0002949627191252054, 0.000028278423836097345, 0.00007565524840587014, 0.0022385907984078628, 0.00022750068259379426, 0.03539276667419627, 0.00006791130461281997, 0.007822356822065026, 0.0433813356051168, 0.004701273368139384, 0.000008555743227919442, 9.0257758105608e-9, 0.059892043718739414, 0.00010121094242114068, 0.050043979219797405, 0.000013310255416860706, 0.08710558269445237, 9.0257758105608e-9, 0.004328344800731229, 0.000004777876786532286, 0.02030632391287551, 0.032351611817678566 ]
[ 2007, 1996, 1000, 2671, 1000, 1998, 4083, 4572, 16405, 14536, 11589, 2015, 2000, 2022, 27329, 2075, 1012, 102, 101, 6795, 4572, 3880, 2000, 2056, 1005, 1055, 23191, 2015, 1010, 2119, 1997, 2010, 1006, 4572, 1005, 1055, 1007, 2573, 2004, 2576, 10398, 1998, 1997, 2032, 2004, 2019, 3424, 1030, 1011, 1030, 7789, 1010, 2007, 8927, 4187, 1997, 2056, 1998, 2010, 2573, 1025, 4572, 2101, 2001, 2587, 2011, 1996, 15032, 20446, 2063, 8473, 7076, 2239, 1010, 7445, 2022, 2099, 4226, 1010, 8861, 1044, 1012, 14884, 1010, 9932, 3900, 2480, 10781, 1998, 2520, 8482, 15231, 1010, 2040, 2056, 2008, 11481, 2964, 5836, 1037, 25077, 4070, 1997, 11481, 2923, 6566, 1012, 2056, 2370, 1010, 1999, 1996, 1000, 2044, 18351, 1000, 2000, 1996, 2786, 3179, 1997, 11481, 2964, 1010, 4660, 6795, 4572, 1005, 1055, 19628, 2114, 1996, 2034, 3179, 1997, 1996, 2338, 1012, 4401, 5275, 2008, 2056, 1998, 2010, 8771, 3478, 2000, 11321, 10782, 2426, 1996, 9903, 1997, 11481, 2964, 2956, 1999, 2530, 2759, 3226, 1998, 3742, 1030, 1011, 1030, 4806, 2865, 1006, 1041, 1012, 1043, 1012, 1010, 5242, 3557, 1998, 1996, 3379, 1997, 12677, 1010, 3118, 1007, 1010, 1998, 11481, 2913, 1997, 1996, 4155, 1010, 3906, 2015, 1010, 15215, 1998, 8578, 1997, 1996, 2789, 2088, 1012, 102, 101, 1999, 1996, 23983, 2554, 1997, 8191, 1998, 1996, 5456, 1997, 2634, 1005, 1055, 2627, 1010, 1051, 1012, 1052, 1012, 17710, 16084, 2072, 13476, 2056, 2008, 2056, 1005, 1055, 4559, 2000, 1996, 18847, 28508, 11481, 2964, 1997, 2530, 15152, 9469, 2032, 2000, 3443, 1037, 18847, 28508, 1051, 14693, 16454, 13911, 2213, 1010, 7989, 2000, 10782, 2426, 1996, 20680, 2015, 1997, 6298, 2964, 1998, 1996, 10644, 7789, 7443, 1997, 1996, 2287, 1997, 16724, 1012, 17710, 16084, 2072, 13476, 3090, 2008, 2056, 6439, 1996, 2898, 2846, 1998, 8050, 5966, 1997, 5448, 2426, 11481, 5130, 2055, 1996, 3267, 1997, 11481, 7243, 1998, 2477, 1010, 3478, 2000, 13399, 2008, 2070, 11481, 5130, 1010, 2107, 2004, 1996, 6316, 8662, 2520, 3557, 1010, 4912, 2000, 5323, 1000, 3451, 27866, 1000, 2738, 2084, 1000, 3451, 4489, 1000, 2090, 1996, 2264, 1998, 1996, 2225, 1010, 1998, 2008, 2122, 5784, 2411, 2081, 15636, 2008, 2101, 3024, 10100, 2005, 3424, 1030, 1011, 1030, 4461, 14594, 1012, 102, 101, 2728, 17514, 2038, 2056, 1999, 1996, 2335, 4706, 12448, 2008, 1996, 9373, 28450, 1997, 11481, 2964, 2003, 2049, 4945, 2000, 10782, 2090, 1996, 3365, 11481, 2923, 4898, 1010, 2040, 2218, 2367, 3451, 15251, 2006, 1998, 6322, 1997, 1996, 16865, 1517, 1996, 2446, 4802, 8968, 13865, 3854, 23173, 1006, 2040, 2196, 6158, 2000, 1996, 2264, 1007, 1010, 1996, 2413, 9974, 27973, 13109, 4887, 8296, 1006, 2040, 7255, 5279, 1007, 1010, 1996, 2413, 20248, 18657, 3312, 1030, 1011, 1030, 8471, 14916, 2319, 1006, 2040, 3935, 16939, 8106, 1997, 14092, 3012, 1997, 1000, 20604, 7243, 1000, 1007, 1010, 1998, 1996, 2329, 11403, 1998, 16105, 3597, 18657, 3487, 2520, 4644, 1006, 2040, 2001, 19376, 1999, 5640, 1007, 1012, 102, 101, 1999, 6984, 1996, 2225, 1024, 1037, 16218, 1997, 3487, 2056, 1005, 1055, 11481, 2964, 1006, 2289, 1007, 1010, 7839, 2162, 2527, 4160, 2056, 2008, 1996, 9426, 7321, 1998, 3451, 13818, 1997, 2647, 11481, 5130, 2058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.008739327137608433, 0.0004439424518415829, 0.015247232314380459, 0.00010553974395315863, 0.025150537481854265, 0.0010922240355030661, 0.03361142898468139, 0.003973009650048501, 0.05440117406618294, 0.0009904734131398866, 0.007825157624082648, 0.006336015208344794, 0.0008691098901676248, 0.00040561789512154827, 0.06045472432205804, 0.0005867534147693165, 0.050447037614150175, 0.03501788676705925, 0.011216432834157944, 0.000013061425324041389, 0.024491833044058327, 0.009030958150060546, 0.0015957778271237146, 0.031274665485687796, 0.04142750414444793, 0.024711265207676605, 0.0024249569053640713, 0.000014845230043856464, 0.0604581906422257, 0.014654020562186976, 0.04550267990718488, 0.0025151254851400622, 0.026298489951596737, 0.022030939736850837, 0.00018242587165899856, 0.001295563145427466, 0.0043867081941976315, 0.06819905999098205, 0.05433114855278064, 0.02815544192591947, 0.0001829941024920229, 0.021099469541456188, 0.0020373711729191946, 0.07473391640426633, 0.0014113531521184868, 0.0015597963165414775, 0.040746718798583506, 0.0028917443279430238, 0.07542425441135982, 0.000004095537276657052 ]
[ 1030, 1011, 1030, 8469, 25854, 1998, 3439, 16852, 1010, 2029, 2056, 6439, 1999, 2344, 2000, 9570, 1037, 12991, 13874, 1997, 13481, 2022, 8873, 13027, 2010, 9459, 2055, 1996, 3267, 1997, 11481, 2964, 1012, 1999, 2005, 11516, 1997, 4209, 1024, 1996, 11481, 5130, 1998, 2037, 6716, 1010, 2728, 17514, 2056, 2008, 2056, 6439, 1996, 17882, 1997, 3708, 1030, 1011, 1030, 2301, 11481, 2913, 2011, 2446, 1998, 5588, 11481, 5130, 1010, 5784, 2013, 3032, 2302, 4461, 8355, 1999, 1996, 16865, 1012, 3041, 4401, 2056, 2008, 1996, 4766, 5002, 1997, 2446, 11481, 2923, 6566, 3132, 1996, 2338, 1010, 2877, 2056, 2000, 4675, 1999, 1000, 11481, 2964, 28667, 5644, 18688, 2098, 1000, 1006, 3106, 1007, 2008, 2053, 2028, 2018, 7645, 2008, 1996, 4766, 5002, 1997, 2446, 11481, 2964, 6537, 1996, 12683, 3643, 1998, 4646, 1997, 1996, 9459, 1997, 11481, 2964, 1517, 1996, 4331, 1997, 15152, 4162, 2000, 1996, 2789, 2088, 1999, 4559, 2000, 1996, 2530, 2088, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 3167, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 1996, 3720, 1000, 2040, 2003, 4452, 1997, 3487, 2056, 1029, 1000, 1010, 20377, 4213, 5302, 2100, 6986, 2072, 2056, 2008, 1999, 7411, 18240, 1998, 3451, 4281, 2004, 5852, 1997, 3691, 1998, 4874, 7730, 1999, 5702, 1996, 16865, 1010, 3487, 2056, 3881, 3086, 2000, 2010, 2219, 5636, 1998, 3451, 15702, 2004, 1037, 9302, 2158, 1998, 2004, 1037, 5336, 4942, 2389, 16451, 2013, 1996, 11405, 1997, 8976, 1010, 1996, 2329, 2690, 2264, 1012, 1999, 1996, 3720, 1000, 16865, 2015, 1998, 1051, 14693, 28986, 1024, 5336, 15152, 3399, 1998, 1996, 2010, 29469, 9888, 1997, 1996, 2329, 3400, 1000, 1010, 1040, 1012, 1037, 1012, 9378, 9697, 2056, 2008, 2056, 1005, 1055, 7819, 9864, 2495, 1006, 2329, 1998, 2137, 1007, 14209, 2032, 2013, 3015, 2055, 1996, 16865, 2011, 11870, 1997, 2010, 2219, 9918, 1999, 11481, 2964, 1025, 2056, 2018, 2973, 2087, 1997, 2010, 4639, 2166, 1999, 1996, 1057, 1012, 1055, 1012, 2004, 1037, 2118, 2934, 1010, 2021, 5275, 2008, 1024, 1000, 2151, 1998, 2035, 15066, 1012, 1012, 1012, 2024, 11157, 1010, 2034, 1010, 1999, 1996, 2653, 1010, 1998, 2059, 1999, 1996, 3226, 1010, 4896, 1010, 1998, 2576, 2572, 11283, 5897, 1997, 1996, 5050, 2121, 1012, 1012, 1012, 1031, 1998, 2024, 1033, 6970, 12155, 8159, 2007, 1037, 2307, 2116, 2060, 2477, 4661, 1005, 1996, 3606, 1005, 1010, 2029, 2003, 1010, 2993, 1010, 1037, 6630, 1000, 1012, 2008, 11664, 3451, 2128, 20051, 22486, 2018, 7567, 1996, 3834, 2056, 1010, 1998, 2010, 2695, 1030, 1011, 1030, 5336, 24241, 8771, 1010, 1999, 1037, 1000, 4773, 1997, 14017, 11514, 6190, 2213, 1000, 1010, 2029, 6537, 2032, 1998, 2068, 2000, 3713, 2069, 1997, 3451, 1000, 15066, 1000, 1010, 5819, 7453, 4352, 2056, 1998, 2522, 27794, 2000, 9772, 1996, 4598, 1997, 2151, 7863, 3606, 2055, 1996, 16865, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3747, 1997, 11481, 2964, 1027, 1027, 1027, 102, 101, 102, 101, 2144, 11481, 2964, 1005, 1055, 4772, 1999, 3301, 1010, 2056, 2038, 2042, 5868, 2004, 2019, 1000, 7789, 18795, 1000, 2005, 2010, 2846, 1997, 9934, 1010, 5059, 2006, 4706, 3399, 1010, 12596, 3906, 1010, 2381, 1010, 2576, 8570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00039094801268931245, 0.0737326310572353, 0.12135045118264466, 0.03484855187491857, 0.01232848978000285, 0.000020713856537126643, 0.03723406848144498, 0.04921108089289212, 0.04491535239953771, 0.00009918748758816361, 0.006922119608939771, 0.0010694551890407854, 0.015106811484372661, 0.06139288364483009, 0.02423914350968366, 0.02793794961568103, 0.04294671920378722, 0.005252048274794656, 0.0032836909894250694, 0.0002825834078646244, 0.01710607747021308, 0.008155357247485406, 0.09352201629317397, 0.001849782859042843, 0.030565177366481743, 0.0164071843892608, 0.00005847121987672675, 0.00012420887345557005, 0.0007930751186045759, 0.000002035647042380124, 0.07245167695643184, 0.000020941317554612466, 0.00007856807642037938, 0.00006773220399877175, 0.00010793121591696612, 0.0001388072767234796, 0.1011328995974989, 0.012501064799704205, 0.000028245771886289164, 0.0009946399999455763, 0.007999343918562454, 0.00013410538381428163, 0.03037673001985954, 0.03181121459809372, 0.0001656352571765199, 0.000007594239944707496, 0.003087033067447519, 0.006186294124554746, 0.0006645090280637337, 0.0008967667078543639 ]
[ 1010, 3451, 6256, 1998, 2189, 6256, 1012, 11481, 2964, 2150, 1037, 3192, 2389, 3793, 1999, 1996, 2492, 1997, 2695, 1030, 1011, 1030, 5336, 2913, 2005, 2054, 6609, 6755, 2669, 2170, 2049, 1000, 2430, 3606, 1012, 1012, 1012, 2008, 17183, 11219, 2075, 4871, 1997, 1996, 2264, 1998, 4461, 2923, 4297, 9236, 8496, 2046, 2049, 9291, 2031, 7145, 2908, 2192, 1999, 2192, 1012, 1000, 2028, 1997, 1996, 2087, 6383, 2338, 1999, 2023, 2181, 2003, 2695, 25778, 12488, 2140, 3399, 2517, 2011, 3389, 2721, 12338, 1010, 2073, 1996, 3166, 7607, 2013, 3937, 4955, 2055, 2695, 25778, 12488, 2140, 1030, 1011, 1030, 2003, 2213, 2000, 2129, 2009, 2064, 2022, 2081, 1998, 5044, 1999, 1996, 2613, 2381, 2007, 7289, 9569, 1998, 7789, 6123, 1997, 2009, 1012, 102, 101, 2056, 1005, 1055, 3834, 2814, 1998, 22277, 2015, 8969, 1996, 10938, 8082, 3747, 1997, 11481, 2964, 2588, 6566, 1999, 1996, 11406, 1025, 4401, 5275, 2008, 1996, 9459, 2003, 2019, 7789, 2135, 14879, 3747, 2588, 5784, 1010, 5819, 6793, 2056, 1996, 9459, 2003, 7789, 2135, 5622, 5677, 5844, 1012, 1996, 4249, 1997, 2695, 1030, 1011, 1030, 5336, 1998, 3451, 2913, 3535, 2000, 4863, 1996, 1000, 2695, 1030, 1011, 1030, 5336, 2088, 1010, 2049, 7243, 1010, 1998, 2037, 27648, 2015, 1000, 1025, 2005, 2023, 1010, 1996, 4812, 2389, 16406, 1998, 17826, 21150, 1997, 1996, 14848, 2015, 1999, 11481, 2964, 3613, 2000, 24501, 21149, 1010, 2926, 1999, 1996, 2492, 1997, 2690, 2789, 2913, 1012, 102, 101, 1996, 17826, 6566, 1997, 11481, 2964, 2003, 2926, 12711, 2000, 4706, 6256, 1998, 3451, 2913, 1010, 2164, 4391, 1997, 1996, 2695, 1030, 1011, 1030, 5336, 2381, 1997, 2634, 2011, 1043, 7054, 22233, 1010, 6141, 17594, 2015, 1998, 8923, 27427, 2368, 1010, 2715, 12899, 2011, 4079, 17481, 1010, 1998, 1996, 4706, 8106, 1997, 7570, 4328, 1047, 1012, 1038, 25459, 3270, 1010, 5637, 4017, 3089, 15775, 22272, 14550, 3723, 11867, 11444, 2243, 1998, 24811, 4830, 22083, 4048, 1006, 4238, 1024, 1037, 2111, 7153, 1010, 2289, 1007, 1012, 102, 101, 1999, 2789, 2885, 1010, 23689, 5555, 8670, 29493, 1516, 13872, 2764, 1996, 4145, 1997, 21016, 11481, 22556, 1006, 2826, 1007, 1010, 5173, 2013, 1996, 4784, 1997, 1996, 5272, 6554, 23498, 1006, 1999, 26703, 2789, 2885, 1024, 1996, 4949, 1997, 10585, 2006, 1996, 2568, 1997, 1996, 16724, 1010, 2807, 1007, 1998, 2056, 1005, 1055, 4784, 1999, 11481, 2964, 1006, 3301, 1007, 1012, 1996, 7643, 5272, 3814, 28681, 14604, 3567, 1006, 16603, 1996, 19733, 1010, 2722, 1007, 3591, 1996, 3802, 7295, 12898, 12863, 4145, 1997, 21016, 17581, 22556, 1006, 3802, 7295, 12898, 10440, 17581, 5555, 1010, 2722, 1007, 1010, 2029, 2003, 5173, 2013, 23689, 5555, 8670, 29493, 1516, 13872, 1005, 1055, 4145, 1997, 21016, 11481, 22556, 1012, 102, 101, 12484, 27829, 2884, 1010, 1037, 2690, 2789, 5272, 1010, 3591, 1996, 4145, 1997, 1005, 10213, 11481, 2964, 1005, 2083, 2010, 3439, 4106, 1997, 1996, 21934, 24759, 9031, 2015, 1997, 1996, 3375, 2334, 9302, 4507, 2029, 4158, 2083, 1996, 20400, 2039, 2000, 1996, 2220, 3983, 2301, 1012, 2002, 3964, 2008, 13228, 8192, 1998, 21934, 24759, 9031, 1997, 4676, 1999, 8455, 1996, 1005, 4151, 2455, 1005, 2580, 1037, 3193, 2008, 1996, 1005, 4151, 2455 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.03696060665108775, 0.04858663499932948, 0.0042733913861880074, 0.054869465212951815, 0.006424487160592756, 0.019768743135039818, 0.014775866349049307, 0.003170817678795918, 0.001967902911378711, 0.0001395219112590108, 0.00005774683457573269, 0.006308385245613097, 0.0018411876324370769, 0.06464080958870279, 0.00007881941127853229, 0.07512147647054895, 0.08152674077044827, 0.000014393276232479359, 0.006093081345137485, 0.0001527668326649168, 7.641196901801155e-9, 0.005318613865260681, 0.0003339901794521391, 0.09013283845137879, 0.0060160781287144395, 0.00003200387679393409, 0.005000952925306515, 0.0024649835983372396, 0.0026712590911555792, 0.07885267345966297, 0.000022376211361002906, 0.07461932345626769, 0.0013623925591635972, 0.002533988372090316, 0.0000018997297283794613, 0.07673840179709229, 0.01663710681967134, 0.035254963555539066, 0.0007663653500730256, 0.000007702038355587258, 0.043367980275290104, 0.000027468200027564924, 0.011413616891684034, 0.08316686849964132, 0.02082950923934274, 0.0009209986841333329, 0.01300858048250485, 0.0001799528228021261, 0.0015314568753208564, 0.000012802119339461116 ]
[ 1005, 2003, 22808, 1997, 2151, 2381, 2021, 2069, 10213, 4138, 2791, 1012, 102, 101, 2009, 2036, 14670, 2006, 9208, 2913, 1012, 2056, 1005, 1055, 2695, 1030, 1011, 1030, 5336, 15152, 4254, 2006, 3311, 1997, 2695, 1030, 1011, 1030, 5336, 8006, 1998, 2695, 1030, 1011, 1030, 5336, 10213, 6256, 1010, 1999, 2029, 1996, 8068, 3921, 1996, 18919, 2007, 1037, 7339, 1997, 5336, 8068, 1012, 2005, 2062, 2592, 1010, 2156, 1996, 2338, 2315, 1000, 1996, 6331, 1998, 19999, 2964, 1024, 8826, 7443, 1010, 12009, 1998, 2695, 1030, 1011, 1030, 5336, 2964, 1999, 8976, 1030, 1011, 1030, 3956, 1000, 102, 101, 102, 101, 1027, 1027, 4331, 1027, 1027, 102, 101, 102, 101, 2044, 1996, 3476, 2416, 2154, 2162, 1010, 2056, 3133, 1996, 2270, 10336, 2000, 4675, 2054, 2002, 8690, 2004, 1996, 12991, 13874, 2094, 28616, 2890, 28994, 19304, 2015, 1999, 2029, 1996, 1057, 1012, 1055, 1012, 2739, 2865, 4541, 1996, 5424, 1516, 5611, 5233, 1025, 2002, 3555, 2023, 3189, 4270, 2001, 9196, 2013, 1996, 3439, 22213, 1997, 1996, 2690, 2264, 1010, 1999, 2236, 1010, 1998, 8976, 1998, 3956, 1010, 1999, 3327, 1012, 2000, 4769, 1010, 4863, 1010, 1998, 6149, 1996, 3277, 1010, 2056, 2405, 1000, 1996, 5424, 6791, 1000, 1999, 3380, 1010, 1037, 22726, 9491, 2055, 4871, 1997, 1000, 1996, 5424, 1000, 2008, 2024, 3214, 2000, 26399, 3563, 6594, 1997, 1996, 3439, 1998, 3451, 22213, 1997, 1996, 7243, 2040, 2444, 1999, 1996, 2690, 2264, 1010, 2956, 1999, 8083, 1998, 6566, 1012, 102, 101, 1999, 1996, 9491, 1000, 19999, 2964, 2013, 1996, 3233, 8400, 1997, 2049, 5694, 1000, 1006, 3245, 1007, 1010, 2056, 5275, 1999, 7927, 1997, 1996, 2576, 22568, 1998, 6316, 19137, 17926, 21452, 1997, 1996, 21379, 4447, 1998, 2157, 2000, 1037, 3644, 10759, 1025, 1998, 2005, 1996, 16112, 2157, 1997, 2120, 2969, 1030, 1011, 1030, 9128, 1997, 1996, 9302, 2111, 1012, 2056, 1005, 1055, 2808, 2055, 3956, 1998, 8976, 2421, 1996, 3160, 1997, 8976, 1006, 3245, 1007, 1010, 1996, 4331, 1997, 4487, 13102, 15094, 7971, 3258, 1006, 2807, 1007, 1010, 1998, 1996, 2203, 1997, 1996, 3521, 2832, 1006, 2456, 1007, 1012, 102, 101, 1999, 3106, 1010, 2056, 4265, 3167, 8465, 2005, 2010, 2576, 16841, 2043, 1996, 3644, 3639, 2223, 1006, 26219, 2140, 1007, 19817, 4215, 18796, 2094, 2056, 1005, 1055, 2270, 8635, 2055, 1996, 2110, 1998, 3267, 1997, 5424, 1516, 5611, 4262, 1010, 1998, 3985, 2056, 2008, 2056, 2001, 1037, 6394, 1010, 2138, 1997, 2010, 3424, 1516, 19999, 2964, 8635, 1010, 2029, 1996, 26219, 2140, 7021, 2004, 3424, 1030, 1011, 1030, 4100, 17456, 1025, 2019, 24912, 2923, 2275, 2543, 2000, 2010, 2436, 2012, 3996, 2118, 1010, 1998, 2002, 1998, 2010, 2155, 2020, 14678, 13532, 2000, 28973, 2015, 1998, 1000, 7601, 17897, 16670, 2331, 8767, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 9302, 2120, 2473, 1027, 1027, 1027, 102, 101, 102, 101, 2013, 3355, 2127, 2889, 1010, 2056, 2001, 2019, 2981, 2266, 1997, 1996, 9302, 2120, 2473, 1006, 1052, 12273, 1007, 1012, 1999, 2997, 1010, 2002, 2001, 1037, 22488, 1997, 1996, 2048, 1030, 1011, 1030, 2110, 5576, 2000, 1996, 5611, 1516, 9302, 4736, 1006, 3882, 1007, 1010, 1998, 5444, 2005, 1996, 5069, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000016245540005622833, 0.024177515542459598, 0.01656724133671661, 0.0022746777240741757, 9.910925556561503e-9, 9.910925556561503e-9, 0.000012011347570761356, 0.0014971949635892799, 0.00000857886644318022, 0.03154856966946316, 0.005407336405346785, 0.006591241222806412, 0.0000344588195772221, 0.00001087526075773611, 0.09773371229616647, 0.00007791287333946681, 0.04456138485703023, 0.001712373142683098, 0.010121696247264401, 0.03707844859305497, 9.910925556561503e-9, 0.007680639785876971, 0.07836825335061294, 0.0012216836674212184, 0.05587805288442471, 0.0020645987361942097, 9.910925556561503e-9, 0.019784597300089288, 0.00911299403988747, 0.00003356419664043849, 0.04215451490330871, 0.00034128126239353987, 5.27089250843588e-7, 0.014698815331277116, 0.000014460645107855334, 1.0500246446896282e-8, 0.10566504877349826, 0.021477890321578038, 0.0779500065049193, 9.910925556561503e-9, 0.00000854542359414175, 0.12003400657555027, 9.910925556561503e-9, 0.040543201915028144, 0.0003049235657335147, 0.0000395424903154546, 0.047394794413354695, 0.04841333740183376, 0.000016092454320871286, 0.027367082293639308 ]
[ 1996, 2110, 1997, 8976, 2012, 1037, 3116, 1997, 1996, 9302, 2120, 2473, 3116, 1999, 22947, 1012, 1999, 2857, 1010, 2056, 8046, 2010, 5779, 2000, 1996, 9302, 2120, 2473, 1010, 2000, 6186, 1996, 4722, 4331, 2008, 2599, 2000, 1996, 6608, 1997, 1996, 9977, 15802, 2015, 1006, 8170, 1997, 6481, 2006, 9455, 2969, 1030, 1011, 1030, 2231, 7565, 1010, 2857, 1007, 1010, 2138, 2002, 2245, 1996, 15802, 3408, 21873, 1010, 1998, 2138, 2027, 2018, 2042, 5837, 2011, 1996, 6921, 3034, 1997, 2889, 1012, 102, 101, 2056, 2001, 4487, 13102, 19738, 6924, 2008, 1996, 9977, 15802, 2015, 2052, 2025, 3965, 2019, 2981, 8976, 1010, 1998, 2008, 2027, 2020, 10317, 14092, 2000, 1037, 2933, 2008, 8038, 18116, 19027, 27753, 2018, 5837, 1517, 1037, 2933, 2029, 2056, 2018, 3591, 2000, 19027, 27753, 2006, 6852, 1997, 1996, 1057, 1012, 1055, 1012, 2231, 1999, 1996, 2397, 3955, 1012, 2926, 13460, 8462, 2000, 2056, 2001, 2010, 6772, 2008, 8038, 29481, 19027, 27753, 2018, 12056, 1996, 2157, 1997, 2709, 1997, 1996, 9302, 8711, 2000, 2037, 3506, 1998, 5144, 1999, 1996, 2665, 2240, 6500, 1997, 3653, 1516, 3476, 3956, 1010, 1998, 2008, 19027, 27753, 6439, 1996, 3652, 2576, 5081, 1997, 1996, 5611, 7617, 1999, 1996, 4548, 6500, 2008, 2018, 2042, 2511, 2144, 1996, 9187, 1997, 8976, 1999, 3476, 1012, 2011, 2786, 1010, 1999, 3433, 2000, 2056, 1005, 1055, 2576, 19628, 1010, 1996, 9302, 3691, 1006, 6643, 1007, 7917, 1996, 5096, 1997, 2056, 1005, 1055, 2808, 1025, 2174, 1010, 1996, 6643, 4196, 1996, 2338, 1030, 1011, 1030, 7221, 2043, 2056, 7271, 5868, 8038, 29481, 19027, 27753, 2005, 21936, 3539, 2704, 15501, 6784, 27739, 1005, 1055, 4107, 2012, 1996, 2690, 2264, 3521, 6465, 2012, 3409, 2585, 1006, 2456, 1007, 1999, 1996, 1057, 1012, 1055, 1012, 102, 101, 1999, 1996, 3054, 1030, 1011, 1030, 4134, 1010, 2056, 2626, 1996, 23059, 2000, 1996, 2381, 2338, 3644, 2381, 1010, 3644, 4676, 1024, 1996, 3635, 1997, 2093, 4595, 2086, 1006, 2807, 1007, 1010, 2011, 3956, 7890, 4817, 1010, 2029, 7534, 1996, 3451, 14848, 2008, 3956, 1005, 1055, 11094, 16416, 21181, 1997, 1996, 21524, 2003, 15685, 1999, 1037, 18414, 21351, 2278, 9095, 1006, 1997, 6656, 1007, 2005, 5181, 2000, 10797, 6997, 1010, 2164, 4028, 1010, 2114, 8991, 15286, 2015, 1006, 2512, 1030, 1011, 1030, 5181, 1007, 1012, 1999, 2010, 23059, 1010, 2056, 2056, 2008, 3644, 2381, 1010, 3644, 4676, 2003, 1000, 2498, 2625, 2084, 1037, 9530, 18380, 2381, 1997, 4438, 1998, 2715, 13725, 1010, 16021, 11253, 2906, 2004, 2122, 2024, 7882, 2000, 1996, 4824, 1997, 2715, 3956, 1000, 1025, 1998, 5868, 1996, 5272, 7890, 4817, 2005, 7851, 3824, 3956, 2004, 1037, 3842, 4942, 23545, 2094, 1999, 1037, 1000, 12582, 2080, 1516, 6394, 1000, 3451, 2572, 11283, 5897, 2008, 3039, 1996, 2139, 28600, 7088, 9276, 1997, 1996, 9302, 2060, 1024, 102, 101, 1999, 2035, 2026, 2573, 1010, 1045, 2815, 24670, 4187, 1997, 1037, 1043, 4135, 5844, 1998, 4895, 26775, 26116, 14594, 1012, 1012, 1012, 1012, 2026, 3193, 1997, 8976, 1012, 1012, 1012, 3464, 1996, 2168, 2651, 1024, 1045, 5228, 2035, 11901, 1997, 17829, 2055, 1996, 16021, 7140, 14483, 2102, 14085, 22486, 1010, 1998, 16830, 23689, 6590, 6935, 2213, 1997, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.006364359032517663, 0.09854499033813899, 0.1440166905579035, 0.009230042334988487, 0.00040461482550114755, 0.07386874375672374, 0.1275315278677443, 0.0006009954442324274, 0.00008262536679081907, 0.005131144867597803, 0.002642681105543289, 0.00023990607574832793, 0.002469081075309598, 8.136931538706865e-9, 0.0029641076305847933, 0.009176645571031912, 8.136931538706865e-9, 0.0009439103295738075, 0.05490043710944484, 0.0033956482788575124, 0.00007224763808196807, 0.0027340204707207356, 0.0000012664637916251371, 0.012421008891598029, 0.027787615417090437, 0.010560996433141035, 0.00003775188125748974, 0.0026451156140493075, 0.007445556586644823, 0.027803679008939822, 0.0940974414390911, 0.0019187863506553073, 8.136931538706865e-9, 0.0004584632723588093, 0.00017382197524213857, 0.00015817729358628355, 0.008919055997447101, 0.00104477454108289, 0.0014110224870103518, 0.00007356023141213512, 0.00010168832636263667, 0.03483252695012927, 0.0496910303373938, 0.00001970681582382495, 0.045682374639351125, 0.04491859731892123, 0.08239036274352173, 0.00004240318538139348, 0.000006888127566191969, 0.00004188358332014155 ]
[ 8986, 10465, 1025, 1045, 4081, 1010, 2612, 1010, 1037, 4187, 2298, 2012, 1996, 5424, 4044, 1010, 9302, 2381, 1010, 1998, 1996, 5611, 22213, 1010, 2007, 1996, 13216, 7091, 2008, 2069, 1037, 13630, 4093, 1010, 2090, 1996, 2048, 4279, 1997, 6114, 1010, 5424, 1998, 3644, 1010, 2052, 3073, 24501, 23270, 2063, 2013, 1996, 16655, 15683, 2162, 1012, 102, 101, 1999, 2687, 1010, 2056, 2081, 1999, 3945, 1997, 8976, 1006, 2687, 1007, 1010, 1037, 4035, 4516, 2143, 2055, 8976, 2627, 1998, 8976, 2556, 1010, 1999, 2029, 2002, 2513, 2000, 1996, 2406, 2013, 2029, 2002, 2018, 11367, 2000, 1996, 1057, 1012, 1055, 1012, 1999, 4006, 1012, 1999, 1996, 2194, 1997, 2010, 2365, 1010, 28380, 2063, 1010, 2056, 24354, 2010, 3182, 1997, 2879, 9021, 1010, 1998, 12892, 1996, 5611, 21321, 2015, 1006, 2591, 1998, 3451, 1007, 2777, 2098, 2041, 2000, 6623, 21524, 1999, 1996, 3824, 2225, 2924, 1012, 2750, 1996, 2591, 1998, 3451, 14653, 5156, 2000, 4035, 5988, 3688, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 1996, 4516, 2001, 2196, 3743, 2011, 2151, 2137, 2547, 2194, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1999, 8976, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 1017, 2251, 2456, 1010, 5819, 6828, 1996, 2690, 2264, 2007, 2010, 2365, 1010, 28380, 2063, 1010, 2056, 2001, 16164, 6886, 1037, 2962, 2408, 1996, 2630, 2240, 12592, 1516, 3956, 3675, 1010, 2029, 3746, 12005, 17847, 2094, 2172, 2576, 6256, 2055, 2010, 2895, 14313, 2019, 16112, 1010, 3167, 11883, 2007, 10130, 1025, 1998, 1010, 1999, 8570, 2932, 1010, 1996, 4988, 3487, 3656, 18251, 2056, 2004, 1996, 2934, 1997, 7404, 1010, 2005, 14974, 2114, 3956, 1012, 2056, 4541, 1996, 2962, 1030, 1011, 1030, 6886, 2004, 1037, 2048, 1030, 1011, 1030, 10671, 2895, 1010, 3167, 1998, 2576, 1025, 1037, 2158, 1030, 1011, 1030, 2000, 1030, 1011, 1030, 2158, 5049, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 8066, 1010, 2090, 1037, 2269, 1998, 2010, 2365, 1010, 1998, 2019, 5424, 2158, 1005, 1055, 9218, 1997, 6569, 2012, 1996, 2203, 1997, 1996, 5611, 6139, 1997, 2670, 8341, 1006, 3106, 1516, 2456, 1007, 1024, 102, 101, 2009, 2001, 1037, 21877, 11362, 1025, 2045, 2001, 6343, 2045, 1012, 1996, 3457, 4580, 2001, 2012, 2560, 2431, 1037, 3542, 2185, 1012, 102, 101, 2750, 2383, 6380, 2008, 2002, 6461, 1996, 2962, 2012, 2019, 5611, 3457, 4580, 1010, 1996, 15335, 3780, 2004, 1030, 1011, 1030, 7842, 8873, 2099, 1006, 1996, 6059, 1007, 2988, 2008, 1037, 12592, 2334, 6319, 2988, 2008, 2056, 2001, 2012, 2625, 2084, 2702, 3620, 1006, 6187, 1012, 2382, 3027, 1012, 1007, 3292, 2013, 1996, 5611, 3639, 2486, 1006, 24011, 1007, 3548, 11956, 1996, 2048, 1030, 1011, 1030, 11676, 3457, 4580, 1010, 2043, 2056, 6461, 1998, 4711, 1996, 2962, 2058, 1996, 3675, 8638, 1025, 1996, 2962, 1005, 1055, 25921, 4130, 2001, 28409, 2043, 2009, 4930, 1996, 25007, 7318, 10234, 1996, 3675, 8638, 1012, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2750, 17304, 2011, 2070, 3076, 2967, 2012, 3996, 2118, 1998, 1996, 3424, 1030, 1011, 1030, 27652, 2223, 1997, 1038, 1005, 6583, 2072, 1038, 1005, 15544, 2705, 2248, 1006, 4124, 1997, 1996, 16077, 1007, 1010, 1996, 2118, 18523, 2405, 1037, 2274, 1030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0002278939077873737, 0.03778663156862814, 0.0018690778330882323, 0.024910568956303503, 0.0849927253806403, 0.00040268530226982284, 0.0009341280266759178, 0.000001326830314752674, 0.00001659427571001802, 0.1690364303365976, 0.00023037907187461738, 0.003239460677513227, 0.006621170132062554, 0.0036418963706230123, 0.012975106410241221, 0.13521766398553595, 0.000020311890859604496, 0.0000976668116662809, 0.000008106170701500676, 0.009982632813239268, 0.0025966924749430543, 0.00016444793394153887, 0.0005652811842598469, 0.002966412728769962, 0.0020350235946990534, 0.00005389663476543984, 0.001522177898427775, 0.06061538177439328, 0.03833884534907612, 0.027393558388282425, 0.118871145630086, 0.031668117278717614, 0.0075110463330087815, 0.0064987829584538265, 0.002921481926968028, 0.014016672871363326, 0.04515371055491767, 0.000079588964033252, 0.029241392455666874, 0.00040731720151833585, 0.00008353617538955895, 0.0012025629234612622, 0.021559491442381354, 0.000763650378118117, 0.002574231086736683, 0.026014861963626512, 0.03902733548896184, 0.016022429932086812, 0.006462587049325566, 0.0014558826712872083 ]
[ 1011, 1030, 3931, 3661, 6984, 2056, 1005, 1055, 2895, 2004, 3834, 4071, 1997, 3670, 1024, 102, 101, 2000, 2026, 3716, 1010, 1996, 2962, 2001, 2856, 2012, 2053, 1030, 1011, 1030, 2028, 1025, 2053, 2375, 2001, 3714, 1025, 2053, 24265, 2001, 2081, 1025, 2053, 4735, 2030, 2942, 2895, 2038, 2042, 2579, 2114, 2934, 2056, 1012, 102, 101, 2056, 2145, 16753, 2576, 16360, 2121, 7874, 27466, 1010, 2107, 2004, 1996, 16990, 1997, 1037, 2337, 2541, 8468, 2000, 5118, 2000, 2507, 1037, 8835, 2000, 1996, 19338, 2554, 1012, 1996, 2343, 1997, 1996, 19338, 2554, 15123, 21779, 1996, 8468, 2011, 9990, 2000, 2056, 2008, 1000, 1996, 2576, 3663, 1999, 1996, 2690, 2264, 1010, 1998, 2049, 8465, 1000, 2018, 10155, 2019, 19238, 1997, 3424, 1030, 1011, 1030, 4100, 17456, 1037, 2200, 3809, 3043, 1010, 1998, 2008, 2151, 2107, 19238, 1000, 2038, 2468, 2062, 4795, 1000, 1999, 1996, 4331, 1997, 5118, 1025, 2947, 1010, 1996, 19338, 2554, 8014, 2037, 8468, 2000, 2056, 1999, 2344, 2000, 1000, 2000, 4468, 2019, 4722, 13249, 1000, 1997, 10740, 1010, 2055, 2032, 1010, 2008, 2453, 17859, 2135, 11443, 1996, 19338, 2554, 1012, 1999, 3226, 1998, 5012, 1024, 11450, 2007, 3487, 2056, 1010, 2056, 28834, 2010, 2576, 3663, 2000, 1996, 3663, 2008, 2053, 3286, 16480, 5244, 4801, 2038, 16753, 2004, 1037, 2270, 7789, 1024, 102, 101, 2009, 1005, 1055, 2200, 2714, 2000, 2010, 1012, 2002, 1005, 1055, 1037, 2092, 1030, 1011, 1030, 2124, 1010, 2307, 22978, 1012, 2002, 1005, 1055, 2042, 6334, 1998, 8686, 2005, 2008, 1010, 2021, 2002, 1005, 1055, 2036, 6819, 3669, 10451, 2004, 2019, 3424, 1516, 4100, 2618, 1998, 2004, 1037, 8042, 7425, 2121, 1012, 1012, 1012, 1012, 2005, 3087, 2000, 9772, 1996, 7570, 14343, 15482, 2271, 3325, 1997, 3424, 1030, 1011, 1030, 4100, 17456, 1998, 1996, 11513, 2003, 21873, 1012, 2057, 2123, 1005, 1056, 2215, 10334, 1005, 1055, 2381, 1997, 6114, 2000, 2175, 4895, 2890, 27108, 5732, 1998, 14477, 3600, 19779, 3709, 5999, 1012, 2006, 1996, 2060, 2192, 1010, 2045, 1005, 1055, 1037, 2307, 4489, 1010, 2090, 21894, 3644, 20489, 1998, 2478, 2008, 2004, 1037, 3104, 2005, 1996, 20489, 1997, 2178, 2111, 1012, 102, 101, 2104, 9867, 102, 101, 1999, 2494, 1010, 15030, 7662, 19935, 2884, 1030, 1011, 1030, 21146, 8873, 1010, 13477, 4830, 2912, 2243, 1010, 19683, 3347, 5603, 5833, 2072, 1010, 1998, 2056, 2511, 2632, 1030, 1011, 1030, 14163, 9024, 5400, 1006, 1996, 9302, 2120, 6349, 1007, 1010, 3753, 2011, 2852, 1012, 19683, 3347, 5603, 5833, 2072, 1010, 1037, 2353, 1030, 1011, 1030, 2283, 5290, 2923, 1010, 3537, 2283, 3214, 2000, 2022, 2019, 4522, 2000, 1996, 5156, 2048, 1030, 1011, 1030, 2283, 4331, 1997, 8976, 1012, 2004, 1037, 2576, 2283, 1010, 1996, 13165, 1997, 2632, 1030, 1011, 1030, 14163, 9024, 5400, 2003, 4919, 2019, 4522, 2000, 1996, 4654, 7913, 23738, 4331, 1997, 1996, 2591, 1030, 1011, 1030, 3537, 6638, 4430, 1998, 1996, 27256, 22129, 1006, 5499, 5012, 2929, 1007, 1012, 2056, 1005, 1055, 4889, 1997, 1996, 2177, 1010, 2004, 2092, 2004, 2010, 2060, 2248, 2576, 3450, 7175, 8976, 1010, 2020, 4384, 2011, 1996, 1057, 1012, 1055, 1012, 2231, 1025, 1999, 2294, 1010, 1996, 21571, 2585, 3976, 4663, 16471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.13972607137460752, 0.010003510318672667, 0.0073477212009930605, 0.0003075920256412285, 0.004003153458896196, 0.006852408327906751, 0.02917678583797808, 0.09733851665793083, 0.01087380475742949, 0.03549930375401674, 0.04502884081679224, 0.004235994255145921, 0.09218821413568581, 0.00008513866364782267, 0.00023957605824668736, 0.06925073582622737, 0.0008554132059885776, 0.000014841744775325827, 0.0024837527098619944, 0.0018764764277790094, 0.00003223461551836158, 0.01862422792135447, 0.06540880874222023, 0.009965815236642701, 0.002444169568186234, 0.003936907809497482, 0.053017101354009354, 0.012964944719708812, 0.00004964935302310733, 0.00011489971723324342, 0.000026945306883727296, 0.00002123403485052296, 0.005456095897961131, 0.000024668632418780892, 0.0259176491806986, 0.00035765948792002277, 9.586202004284182e-9, 0.000026736890090134976, 0.008017764984238973, 0.00975867256301092, 0.03471069406847549, 0.018272928069180468, 0.00002141377538819968, 0.000017019503171377808, 0.000003639478184757265, 0.026367522143562833, 0.059340387381898355, 0.000006642016693254184, 0.07914174992953606, 0.008563956474017127 ]
[ 5530, 1997, 1996, 25504, 1030, 1011, 1030, 3931, 2576, 9998, 20236, 2008, 1996, 8495, 2018, 9227, 2006, 2056, 1010, 5625, 1999, 3411, 1010, 2176, 2086, 2046, 2010, 2476, 2004, 1037, 2270, 7789, 3161, 1999, 1057, 1012, 1055, 1012, 4331, 1012, 102, 101, 102, 101, 1027, 1027, 2189, 1027, 1027, 102, 101, 102, 101, 4661, 2383, 2042, 1037, 2270, 7789, 1010, 3487, 2056, 2001, 2019, 8885, 9066, 1010, 2499, 2004, 1996, 2189, 6232, 2005, 1996, 3842, 2932, 1010, 1998, 2626, 2176, 2808, 2055, 2189, 1024, 3315, 3449, 7875, 21223, 2015, 1006, 2889, 1007, 1025, 18588, 1998, 20506, 2229, 1024, 8993, 2015, 1999, 2189, 1998, 2554, 1006, 2526, 1007, 1010, 2007, 3817, 6436, 27698, 10448, 2213, 2004, 2522, 1030, 1011, 1030, 3166, 1025, 2006, 2397, 2806, 1024, 2189, 1998, 3906, 2114, 1996, 8982, 1006, 2294, 1007, 1025, 1998, 2189, 2012, 1996, 6537, 1006, 2289, 1007, 1999, 2029, 2345, 21269, 2002, 3764, 1997, 4531, 3315, 16055, 1997, 2010, 4706, 1998, 3439, 4784, 1999, 7782, 9265, 1998, 2844, 4616, 1012, 102, 101, 6974, 1999, 1996, 3315, 2088, 1010, 1996, 4543, 12619, 4189, 7140, 2480, 8969, 1996, 2784, 3747, 1997, 3487, 2056, 2588, 2010, 2573, 1025, 5512, 3973, 1010, 4189, 7140, 2480, 1005, 1055, 2034, 6189, 23539, 3973, 2035, 22087, 2000, 1996, 9491, 1000, 14822, 2000, 1037, 7579, 1030, 1011, 1030, 8033, 1000, 1006, 2901, 1007, 1010, 2055, 11937, 12995, 2482, 3695, 3540, 1010, 1996, 6811, 28774, 4523, 7033, 5686, 2319, 1010, 3883, 1010, 1998, 2576, 16830, 1025, 1998, 1037, 3682, 14681, 4159, 16055, 2006, 8340, 1006, 3118, 1007, 1010, 2029, 23539, 3973, 5218, 2000, 1996, 6699, 16112, 2000, 2108, 2019, 8340, 1012, 102, 101, 1999, 2639, 1010, 3487, 1059, 1012, 2056, 1998, 3817, 6436, 27698, 10448, 2213, 2522, 1030, 1011, 1030, 2631, 1996, 2225, 1030, 1011, 1030, 2789, 25992, 2078, 4032, 1010, 2029, 2003, 3605, 1997, 2402, 5611, 1010, 9302, 1010, 1998, 5424, 5389, 1012, 2027, 2036, 2511, 1996, 6436, 27698, 10448, 2213, 1516, 2056, 3192, 1999, 18983, 1010, 2000, 4503, 2495, 1030, 1011, 1030, 2083, 1030, 1011, 1030, 2189, 3934, 1012, 4661, 6605, 1996, 2225, 1516, 2789, 25992, 2078, 4032, 1010, 1996, 6436, 27698, 10448, 2213, 1516, 2056, 3192, 8456, 2007, 1996, 3447, 1997, 1996, 2914, 1997, 13533, 2913, 1010, 1996, 3315, 2495, 1999, 8976, 2622, 1010, 1998, 1996, 2220, 5593, 3315, 2495, 2622, 1010, 1999, 18983, 1012, 102, 101, 102, 101, 1027, 1027, 2982, 1027, 1027, 102, 101, 102, 101, 4661, 7836, 1010, 5779, 2015, 1010, 1998, 14739, 2015, 2000, 8919, 4411, 2088, 1030, 1011, 1030, 2898, 1010, 3487, 2056, 2001, 3018, 2070, 3174, 5756, 2118, 5445, 1999, 1996, 2607, 1997, 2010, 2658, 2166, 2004, 2019, 3834, 1010, 6232, 1010, 1998, 2158, 1997, 4144, 1012, 2426, 1996, 7836, 17398, 2000, 2032, 2001, 1996, 6812, 3527, 2378, 3396, 2011, 5765, 2118, 1012, 2002, 3807, 2363, 1996, 14377, 13012, 13112, 2338, 2400, 1025, 1996, 2034, 6686, 2001, 1996, 7725, 2190, 14138, 1997, 2056, 4706, 2400, 1999, 3299, 1010, 2005, 16508, 1024, 6808, 1998, 4118, 1006, 3326, 1007, 1012, 2002, 2036, 2363, 1996, 2092, 5937, 3396, 1997, 1996, 2137, 12596, 3906, 2523, 1010, 1998, 2001, 3018, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07861461885296389, 2.5444814371481364e-7, 0.0016420915900220436, 0.00024042543959662825, 0.00006532153655408631, 0.010413947869820328, 0.003027173086064657, 0.0002281581846076321, 0.00004532717712992395, 0.0014472571451401596, 0.012124785481383493, 0.005428829517705723, 0.010884251056660174, 0.0011788679417893014, 0.03484801467872823, 0.0012805618562392643, 0.039181275052233865, 1.0101081522799765e-8, 1.0101081522799765e-8, 0.0001915155127498639, 0.003160339161602247, 0.0018323832291262314, 0.005673343172543288, 0.000029521719619073444, 0.000018417158645568115, 0.16348857517111684, 0.05070338317026867, 0.08418367577684471, 0.02272055401128296, 0.00031430479712014415, 0.00684309362723611, 0.00531528866792415, 0.06334777697433827, 0.00514987642670936, 0.0002569980255916786, 0.000011008168971871341, 0.0001843629677014681, 0.0007963370718306269, 0.00019246236896682006, 0.18107186787881557, 0.0013473029068161164, 0.0002860209680222637, 0.0014896795197325962, 0.00005878732278042121, 0.0022436589139267827, 0.1239856274574487, 0.000003897015113234586, 0.07309931859663225, 0.0012112556830441176, 0.00013818544053191496 ]
[ 7725, 6714, 25036, 10014, 3396, 1012, 1999, 2541, 1010, 2056, 2001, 3018, 1996, 17595, 7229, 4706, 2400, 2005, 6480, 6344, 1010, 1998, 1999, 2526, 1010, 2002, 2363, 1996, 3159, 1997, 26798, 2400, 2005, 16557, 1012, 2002, 2001, 1996, 2034, 1057, 1012, 1055, 1012, 6926, 2000, 4374, 1996, 7544, 27593, 15593, 3396, 1006, 2005, 3451, 1004, 4045, 10106, 1010, 2727, 1516, 2722, 1007, 1012, 1996, 10828, 2041, 1997, 2173, 1006, 2639, 1007, 2001, 17398, 2093, 2982, 1010, 1996, 2639, 2047, 19095, 2338, 2400, 2005, 2512, 1030, 1011, 1030, 4349, 1025, 1996, 2456, 2019, 2483, 3790, 1030, 1011, 1030, 4702, 2338, 2400, 2005, 2512, 1030, 1011, 1030, 4349, 1025, 1998, 1996, 11164, 4830, 25974, 2368, 23564, 8671, 2400, 1999, 3906, 1012, 102, 101, 102, 101, 1027, 1027, 2331, 1998, 8027, 1027, 1027, 102, 101, 102, 101, 2006, 2423, 2244, 2494, 1010, 2044, 16762, 1037, 4376, 1030, 1011, 1030, 2095, 15556, 2007, 11888, 1048, 24335, 8458, 10085, 21252, 25468, 1010, 3487, 1059, 1012, 2056, 2351, 1010, 2012, 6163, 2086, 1997, 2287, 1010, 1999, 2047, 2259, 2103, 1012, 2002, 2001, 5175, 2011, 2010, 2564, 1010, 3814, 2213, 1039, 1012, 2056, 1010, 2010, 2365, 1010, 28380, 2063, 2056, 1010, 1998, 2010, 2684, 1010, 6583, 3501, 2721, 2056, 1012, 1996, 7327, 18738, 2443, 3656, 10338, 8022, 1006, 1000, 1037, 10478, 1998, 13459, 2540, 1000, 1007, 1025, 24993, 4670, 2063, 1006, 1000, 1037, 2397, 2806, 1997, 2529, 2964, 1000, 1007, 1025, 5696, 27738, 6132, 1006, 1000, 1037, 10380, 29201, 3258, 2005, 3487, 2056, 1000, 1007, 1025, 4116, 18414, 11927, 1006, 1000, 1996, 7117, 3238, 24686, 1000, 1007, 1025, 2745, 3536, 1006, 1000, 2006, 3487, 2056, 1000, 1007, 1025, 1998, 16985, 18515, 4862, 1006, 1000, 10397, 3487, 2056, 1010, 4437, 1516, 2494, 1000, 1007, 1012, 1999, 2281, 2432, 1010, 1999, 8976, 1010, 12170, 15378, 20175, 2118, 4096, 2037, 2189, 2082, 1996, 3487, 2056, 2120, 11879, 1997, 2189, 1012, 102, 101, 1996, 7050, 2015, 2000, 3487, 2056, 2421, 2808, 1998, 2816, 1025, 2107, 2004, 3403, 2005, 1996, 28056, 1024, 1037, 7050, 2000, 3487, 1059, 1012, 2056, 1006, 2263, 1007, 2838, 8927, 2011, 17712, 4402, 2140, 12170, 2140, 13113, 2072, 1010, 22080, 21828, 2072, 1010, 1998, 14579, 1047, 6806, 13098, 1025, 3487, 2056, 1024, 1996, 25869, 2964, 2050, 1997, 6256, 1006, 2230, 1007, 1010, 2011, 7157, 19027, 2213, 2310, 6810, 2099, 1010, 1037, 4187, 8308, 1025, 1998, 3487, 2056, 1024, 1037, 8027, 1997, 22656, 1998, 15066, 1006, 2230, 1007, 1010, 8927, 2011, 3312, 3742, 4215, 1010, 6335, 2319, 6643, 21512, 1010, 11713, 26822, 12707, 1010, 1043, 16102, 2050, 10556, 28550, 1010, 2053, 3286, 16480, 5244, 4801, 1010, 5637, 4017, 3089, 15775, 22272, 14550, 3723, 11867, 11444, 2243, 1010, 1998, 3817, 6436, 27698, 10448, 2213, 1025, 1998, 1996, 6436, 27698, 10448, 2213, 1516, 2056, 2914, 1006, 4068, 1007, 2001, 2511, 1999, 2262, 1012, 102, 101, 102, 101, 102, 101, 1027, 7570, 28875, 2099, 1043, 22153, 18009, 1027, 102, 101, 102, 101, 7570, 28875, 2099, 1043, 22153, 18009, 1006, 2141, 2423, 2255, 3999, 1007, 2003, 1037, 2446, 13204, 3455, 2873, 1010, 2040, 8868, 24575, 17917, 1012, 2002, 2001, 3353, 2873, 1997, 1996, 2446, 2308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00016762028202726002, 0.015040554078913129, 0.013192370595976026, 0.00025858376923781754, 0.001317040996347368, 0.000503172147873872, 0.10900395871165328, 0.000016230233909621238, 0.0000036293873594160384, 0.06797013777982834, 8.147429363825166e-9, 0.014353603792194131, 0.00017487899044505258, 0.02138636937637288, 0.00023086954500428988, 8.147429363825166e-9, 0.0013528299558314039, 0.0032600052966814076, 0.003809170894053527, 0.00009350742844923938, 0.0000041903304884196565, 0.15089917237090636, 8.147429363825166e-9, 8.147429363825166e-9, 0.11703989779360352, 0.029049451631319452, 8.147429363825166e-9, 0.00015625237681666078, 8.29575965701251e-7, 0.0621372844325569, 0.00006933890430269916, 0.03799070907201233, 0.021202414847076592, 0.11020216217246205, 8.147429363825166e-9, 0.0000021409300580274368, 0.010680390776161367, 0.000011539743279985238, 0.0002749636155619576, 0.0005209200750132474, 0.027456251649448035, 0.02978010824748018, 0.00015859068309563636, 0.0000020843087973503868, 0.05269021860508799, 0.00017445407287756858, 0.001651088442360992, 0.09518050904754245, 0.0005303735643126879, 8.058467764022874e-8 ]
[ 1005, 1055, 2120, 2136, 2013, 2494, 2000, 2384, 1012, 2002, 2038, 2042, 2873, 1997, 1996, 2136, 2144, 2294, 1010, 2076, 2029, 2051, 2009, 2038, 2180, 2274, 2647, 3219, 1010, 1037, 3165, 3101, 2012, 1996, 2263, 2621, 15600, 1999, 7211, 1998, 1037, 2751, 3101, 2012, 1996, 2262, 2621, 15600, 1999, 2414, 1012, 102, 101, 102, 101, 1027, 1027, 8308, 1027, 1027, 102, 101, 102, 101, 7570, 28875, 2099, 1043, 22153, 18009, 2001, 2141, 1999, 8719, 2006, 2423, 2255, 3999, 1012, 2002, 2001, 11498, 2135, 6924, 2206, 1037, 9055, 4926, 1999, 3285, 2008, 3631, 2010, 2959, 15321, 6305, 2594, 2310, 19731, 10024, 1012, 2002, 2150, 2920, 1999, 11980, 2998, 1010, 2652, 13204, 3455, 2005, 12667, 2278, 8719, 1010, 2040, 2020, 1996, 2446, 2120, 3966, 1999, 3172, 1010, 1998, 2209, 1037, 2561, 1997, 13138, 2248, 2399, 1012, 2002, 2150, 3353, 2873, 1997, 1996, 2446, 2308, 1005, 1055, 2120, 13204, 3455, 2136, 1999, 2494, 1010, 1998, 2059, 2873, 1999, 2294, 1012, 1996, 2136, 2180, 2274, 5486, 2647, 3219, 1010, 1999, 2494, 1010, 2384, 1010, 2289, 1010, 2268, 1998, 2249, 1010, 1998, 1037, 3165, 3101, 2012, 1996, 2263, 2621, 15600, 1999, 7211, 1012, 102, 101, 1996, 2446, 2136, 2318, 2125, 4030, 1999, 2049, 2399, 2114, 1996, 2142, 2163, 1998, 2859, 2012, 1996, 2262, 2621, 15600, 1010, 3045, 2122, 2399, 2011, 11754, 2416, 1030, 1011, 1030, 2391, 17034, 1012, 9985, 9587, 7295, 2368, 2245, 2008, 2027, 2209, 2037, 2190, 3455, 2069, 1999, 1996, 2345, 2781, 1997, 1037, 2208, 1012, 2027, 3249, 1996, 2660, 2308, 1005, 1055, 2120, 13204, 3455, 2136, 2012, 1996, 2262, 2621, 15600, 2011, 4008, 1516, 5388, 1999, 2392, 1997, 1037, 4306, 1997, 2058, 2260, 1030, 1010, 1030, 2199, 2012, 1996, 2167, 13861, 5196, 2000, 2663, 1996, 2751, 3101, 1012, 2009, 2001, 1996, 2034, 2751, 3101, 2008, 2762, 2018, 2180, 1999, 2308, 1005, 1055, 13204, 3455, 2012, 1996, 15600, 2144, 3118, 1012, 2027, 2020, 3018, 1996, 3165, 11893, 7053, 2011, 2343, 17286, 11721, 12722, 1999, 2281, 2262, 1010, 1998, 2020, 2315, 2136, 1997, 1996, 2095, 2005, 2262, 1012, 1043, 22153, 18009, 6334, 2011, 29059, 2125, 17154, 16435, 2046, 2414, 1005, 1055, 2314, 11076, 1012, 2002, 2001, 2315, 8719, 1005, 1055, 2873, 1997, 1996, 2095, 2005, 2262, 1012, 102, 101, 1043, 22153, 18009, 2001, 9569, 2055, 1996, 2663, 1010, 9073, 1999, 2285, 2262, 2008, 2045, 2020, 2116, 2982, 1998, 10912, 1010, 2021, 2008, 1996, 3638, 1997, 2414, 2001, 14059, 2058, 2051, 1012, 2002, 2513, 2000, 7748, 2010, 2252, 2136, 1010, 24575, 17917, 1006, 2085, 4096, 1038, 2290, 25946, 8719, 1007, 1010, 2029, 2443, 2120, 2136, 2372, 11941, 17339, 4748, 18689, 2078, 1998, 3968, 3981, 12304, 1006, 1998, 2660, 1005, 1055, 7987, 28173, 2063, 17710, 2319, 1007, 1012, 2009, 2253, 2006, 2000, 2663, 1996, 2120, 2528, 2005, 1996, 5964, 2051, 1999, 2286, 1012, 1996, 2120, 2136, 2001, 2025, 2061, 19590, 1010, 3974, 1996, 2647, 2528, 2000, 1996, 4549, 2011, 1037, 2391, 1010, 5179, 1516, 5401, 1010, 2077, 1037, 2188, 2237, 4306, 1999, 9780, 1999, 2251, 2286, 1012, 102, 101, 1999, 2258, 2297, 1010, 1043, 22153, 18009, 8868, 1038, 2290, 25946, 8719, 2000, 1037, 2663, 1999, 1996, 2345, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.01965409101681773, 0.00006501103222032899, 0.0000020184951681978424, 0.0035851059478977584, 0.0013108228160539257, 0.06490063596117346, 0.0002859074554076459, 0.00048818826875129565, 0.09846269815885045, 0.00001925546146451698, 0.003043002056202915, 0.04405539657524126, 0.012249738133653919, 0.008136638032338763, 1.0319438209784998e-8, 0.07472813821215638, 0.000017701829035709645, 0.09693815920148097, 0.03737327728641907, 0.000019696220619648607, 0.04375891861604714, 0.00008581158081439544, 0.01966512270905859, 0.00040663833277409465, 0.08694587789542275, 0.00024231227490076102, 0.0001519257334432051, 0.00008252245606358903, 0.007531761470068539, 0.0000013340551571668851, 0.0001307231592085876, 0.00009453582394033642, 0.0028594170337164766, 9.940089653398533e-7, 0.000001176200952322422, 0.000004436627004170612, 0.06923782816242964, 0.0074010024472579965, 0.00009506985589482158, 0.1112437219463907, 1.0319438209784998e-8, 0.14383363756645354, 0.000266666425454334, 0.0023879752584280737, 0.00033855934137027807, 0.03178676101423371, 0.00518794417265202, 0.000275663117759478, 0.000008530432041447671, 0.0006376294822662467 ]
[ 1996, 2248, 13204, 3455, 4657, 9944, 2223, 4119, 2452, 1010, 2049, 2034, 2248, 2516, 1010, 2007, 1037, 5786, 1516, 5139, 2058, 1996, 9780, 2364, 12707, 6528, 3712, 22920, 2545, 1012, 1996, 2136, 2036, 2180, 1996, 4189, 2377, 2400, 1997, 1996, 2248, 13204, 3455, 4657, 2885, 1012, 102, 101, 102, 101, 1027, 1027, 10106, 1027, 1027, 102, 101, 102, 101, 2494, 1024, 2751, 2647, 3219, 1006, 8719, 1010, 2762, 1007, 102, 101, 2384, 1024, 2751, 2647, 3219, 1006, 20184, 28104, 1040, 1005, 2004, 2278, 4160, 1010, 2605, 1007, 102, 101, 2289, 1024, 2751, 2647, 3219, 1006, 4954, 2480, 8017, 1010, 2762, 1007, 102, 101, 2263, 1024, 3165, 17029, 2399, 1006, 7211, 1010, 2859, 1007, 102, 101, 2268, 1024, 2751, 2647, 3219, 1006, 13299, 2158, 24844, 10484, 1010, 2307, 3725, 1007, 102, 101, 2230, 1024, 3165, 2088, 3219, 1006, 6484, 1010, 2307, 3725, 1007, 102, 101, 2249, 1024, 2751, 2647, 3219, 1006, 27192, 1010, 3956, 1007, 102, 101, 2262, 1024, 2751, 17029, 2399, 1006, 2414, 1010, 2307, 3725, 1007, 102, 101, 2262, 1024, 8719, 2873, 1997, 1996, 2095, 2005, 2262, 1012, 102, 101, 2286, 1024, 3165, 2647, 3219, 1006, 9780, 1010, 2762, 1007, 102, 101, 2297, 1024, 3165, 2012, 1996, 2088, 3219, 1006, 4361, 1010, 2710, 1007, 102, 101, 102, 101, 102, 101, 1027, 2502, 2158, 2006, 5099, 6873, 26468, 2271, 1027, 102, 101, 102, 101, 1000, 2502, 2158, 2006, 5099, 6873, 26468, 2271, 1000, 2003, 1996, 7891, 2792, 1997, 1996, 5964, 2161, 1997, 1996, 4419, 6579, 4038, 2155, 3124, 1012, 2009, 2761, 4836, 2006, 4419, 1999, 1996, 2142, 2163, 2006, 2254, 1017, 1010, 2230, 1012, 1996, 2792, 2838, 2848, 2044, 2002, 3402, 4269, 6114, 2013, 29222, 1010, 1998, 2064, 2053, 2936, 3342, 2505, 2055, 2010, 2166, 1010, 2164, 2010, 2219, 2155, 1998, 2814, 1012, 2010, 2564, 1010, 15815, 1010, 2059, 4740, 2000, 27788, 13181, 8566, 3401, 2848, 2000, 2010, 11301, 1010, 2021, 2002, 2574, 9418, 2283, 2075, 1010, 1998, 2383, 3348, 2007, 2060, 2308, 2003, 2172, 2062, 14036, 1012, 10206, 1010, 15815, 7288, 2000, 2681, 2014, 3129, 1010, 4786, 2014, 11429, 1010, 24209, 8490, 14503, 2063, 1010, 2000, 3535, 2000, 2663, 2014, 2058, 1012, 102, 101, 1996, 2792, 2001, 2517, 2011, 4422, 25686, 1998, 2856, 2011, 11282, 12170, 2319, 5428, 1012, 2009, 2363, 3227, 4997, 4391, 2013, 4401, 1010, 2005, 2049, 1000, 10015, 2707, 1010, 1000, 2004, 2092, 2004, 2049, 2116, 3451, 7604, 1012, 2429, 2000, 1996, 13188, 8599, 1010, 2009, 2001, 7021, 1999, 1022, 1030, 1012, 1030, 1015, 2454, 5014, 1999, 2049, 2434, 10499, 1012, 1996, 2792, 2956, 4113, 4616, 2011, 1040, 4576, 2638, 3779, 1010, 7918, 2638, 28619, 18009, 1010, 1998, 6174, 14674, 26426, 5643, 1010, 2247, 2007, 2195, 10694, 4113, 2376, 5889, 2005, 1996, 2186, 1012, 1000, 2502, 2158, 2006, 5099, 6873, 26468, 2271, 1000, 2001, 2207, 2006, 4966, 2247, 2007, 2702, 2060, 4178, 2013, 1996, 2161, 2006, 2285, 2410, 1010, 2249, 1012, 102, 101, 102, 101, 1027, 1027, 5436, 1027, 1027, 102, 101, 102, 101, 1996, 2792, 7480, 2007, 1996, 9258, 2155, 3666, 2547, 1012, 1037, 3293, 2005, 2334, 21732, 1997, 1996, 13889, 2208, 2265, 2155, 13552, 2003, 3491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.015119575483986713, 0.00012322860855897938, 0.003260517162193346, 0.02911147994339856, 0.03199911025096983, 0.0062309184190002045, 0.00011485050413511567, 0.01206024192013061, 0.047609102573631525, 0.000032969966585905705, 0.05579616501463938, 0.0008277362116728738, 0.012637562887891904, 0.0005805120661902732, 0.0021608547473702796, 0.0005280991003448732, 0.00003617687547876859, 0.001363351020398563, 0.001195195305896004, 0.00007040037407840847, 0.01865571892548864, 0.015932847312919527, 0.035498173092158275, 0.06269494025916167, 0.01010278770202678, 0.0028445875361685193, 0.00001751974372526634, 0.026790793244421678, 0.0038547401803470786, 0.10841345546902482, 0.0006990153797764708, 0.0015347407514254608, 0.0026793008754390233, 0.010253374394017148, 0.03905284140863341, 0.15942287731161098, 0.012377384349473353, 0.042945203889164264, 1.1159813090382454e-8, 0.000032733284268149066, 0.017920961629439867, 0.007614564629753817, 0.034519589723753935, 0.00028951889406717647, 8.343294052325245e-7, 0.0684480735776257, 0.020855365763533314, 0.006420407995488641, 0.00004880630582271943, 0.0692207824454938 ]
[ 1010, 15870, 2068, 2000, 3046, 2041, 1996, 2279, 2154, 1012, 1996, 9258, 2015, 2024, 4217, 2005, 1996, 2265, 1998, 3362, 1996, 2345, 2461, 1012, 2076, 1037, 2954, 2007, 2957, 11026, 2055, 17939, 2075, 2006, 1996, 3396, 2769, 1010, 2848, 4978, 2010, 2132, 1012, 2023, 5320, 2032, 2000, 5293, 2673, 2055, 2010, 2166, 1010, 2164, 2010, 2155, 1998, 2814, 1012, 15815, 5363, 2000, 8183, 2290, 2010, 3638, 2011, 27788, 13181, 8566, 6129, 2032, 2000, 2010, 2214, 2969, 1010, 2164, 2010, 2336, 1998, 2010, 3348, 2166, 1012, 6854, 1010, 2023, 5320, 2848, 2000, 2903, 2008, 2002, 1005, 1055, 2489, 2000, 2031, 4424, 4262, 2007, 2500, 1999, 2010, 27608, 1000, 5065, 9021, 1012, 1000, 15815, 2018, 3041, 2409, 2032, 2008, 2009, 2003, 15884, 2000, 2031, 3348, 2007, 2010, 2336, 1011, 1999, 3433, 1010, 12669, 4740, 2019, 4297, 4355, 8257, 1006, 1000, 2092, 1010, 1045, 4299, 2017, 2052, 1005, 2310, 2409, 2032, 2008, 2077, 2002, 2439, 2010, 3638, 999, 1000, 1007, 1012, 2087, 1997, 1996, 2155, 12559, 14083, 2063, 2014, 2005, 2023, 1998, 3782, 14590, 2014, 2041, 1997, 1996, 2282, 1012, 6171, 18748, 1010, 15815, 7288, 2000, 2693, 2041, 1010, 2635, 1996, 4268, 1012, 2043, 24209, 8490, 14503, 2063, 4858, 2041, 1010, 2002, 14523, 2006, 1996, 4495, 2000, 7323, 1037, 3276, 2007, 15815, 1012, 102, 101, 2043, 4422, 5651, 2188, 2000, 11582, 2848, 2055, 1996, 8465, 1997, 2023, 2458, 1010, 2848, 7657, 2008, 2002, 2018, 11842, 2010, 3638, 2044, 14637, 1996, 5016, 7975, 2718, 2032, 2006, 1996, 2132, 2007, 1000, 2019, 5976, 2193, 1997, 5200, 1000, 3041, 2008, 2154, 1012, 22333, 2011, 4422, 1005, 1055, 16234, 1010, 2848, 18545, 2000, 24104, 15815, 1010, 2074, 2004, 24209, 8490, 14503, 2063, 1005, 1055, 3488, 2018, 2042, 8394, 2011, 8056, 1030, 1011, 1030, 10572, 17727, 12184, 5897, 2043, 15815, 14312, 2008, 2016, 1000, 20278, 1000, 2032, 1012, 2848, 2059, 11268, 26636, 2010, 2293, 2005, 2014, 1010, 1998, 4792, 2000, 2022, 2007, 2014, 2005, 1996, 2717, 1997, 2010, 2166, 1010, 4786, 15815, 2000, 2293, 2032, 2153, 1012, 1996, 2048, 3328, 2188, 1010, 3407, 1999, 2037, 10301, 1010, 2975, 24209, 8490, 14503, 2063, 2004, 2002, 10206, 2135, 4740, 6233, 23956, 5761, 2000, 1000, 24501, 2271, 26243, 3686, 1000, 2010, 8991, 18400, 2401, 2478, 1024, 1037, 19085, 10216, 1010, 26721, 8159, 3560, 7242, 1010, 1998, 1037, 5823, 11122, 2007, 1037, 13366, 12322, 24714, 8844, 1999, 2010, 9346, 1012, 102, 101, 102, 101, 1027, 1027, 2537, 1998, 2458, 1027, 1027, 102, 101, 102, 101, 2023, 2792, 2001, 2517, 2011, 4422, 25686, 1010, 3080, 2567, 1997, 2146, 1030, 1011, 1030, 2051, 19047, 3213, 1998, 3135, 3505, 25686, 1012, 2023, 2001, 2010, 2117, 2155, 3124, 2792, 1010, 1996, 2034, 2108, 1000, 1045, 3959, 1997, 4441, 1000, 2013, 1996, 5066, 2161, 1012, 2186, 3180, 11282, 12170, 2319, 5428, 2856, 1996, 2792, 1010, 2077, 1996, 7091, 1997, 1996, 5964, 2537, 2161, 1012, 102, 101, 1000, 2502, 2158, 2006, 5099, 6873, 26468, 2271, 1000, 1010, 2247, 2007, 1996, 5408, 2060, 4178, 2013, 2155, 3124, 1005, 1055, 5964, 2161, 1010, 2001, 2207, 2006, 1037, 2093, 1030, 1011, 1030, 5860, 4966, 2275, 1999, 1996, 2142, 2163, 2006, 2285, 2410, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.03525186673480721, 0.0000283035808457631, 0.00005629392394006894, 0.023920141628190176, 0.0022651876065299904, 0.00015374934940954446, 0.10619794123464629, 0.0017533000199042247, 0.10724924708590132, 0.053956901216968896, 0.0007864914480839169, 0.0000025254551722722125, 0.000921423377847036, 0.03438988295779569, 0.00018897334824430703, 0.04320059615857085, 0.03156719843653119, 0.022296177179545188, 0.0001167093441273619, 0.005849295398007252, 0.00005784321652958156, 0.09095364427530594, 0.021146568956541104, 0.00035395308242040617, 0.0012835213938251501, 0.011742466801952043, 0.00001189865058111246, 0.00007067967101387469, 0.002422243987144377, 0.004080351294961657, 0.00011827209326413384, 0.005758889641813894, 0.0026298223138276977, 0.0009509829060419006, 0.04663516448132891, 0.0008181092180572622, 0.000005229740369923062, 0.00029607743802234404, 0.08326726180690441, 0.026243090188236236, 0.050214804035846605, 0.024206654628130014, 0.004907081954326235, 0.00027421936398810124, 0.027470017967798313, 0.026926270064329818, 0.001370549953529475, 0.009074854872430182, 0.00006680605147525694, 0.0864904644649354 ]
[ 2249, 1012, 1996, 4520, 2421, 4766, 5746, 21241, 2011, 2536, 3626, 1998, 3459, 2372, 2005, 2195, 4178, 1010, 1037, 3074, 1997, 17159, 5019, 1998, 2019, 9581, 14606, 1010, 1037, 2569, 7163, 1030, 1011, 1030, 3444, 2029, 6936, 1996, 2832, 2369, 2019, 22835, 1000, 1998, 2059, 2045, 2020, 8491, 1000, 1010, 1037, 7163, 1030, 1011, 1030, 3444, 4709, 1000, 1996, 29257, 7357, 1997, 2155, 3124, 1516, 4422, 1004, 20717, 2666, 1024, 1996, 2439, 3042, 2655, 1000, 1010, 1998, 8333, 1997, 1996, 2155, 3124, 5997, 2012, 1996, 2230, 2624, 5277, 5021, 1030, 1011, 1030, 9530, 2248, 1012, 102, 101, 1999, 2804, 2000, 1996, 3180, 3459, 1010, 3364, 1040, 4576, 2638, 3779, 2081, 1037, 4766, 2444, 1030, 1011, 1030, 2895, 3311, 1999, 1996, 2792, 1010, 6037, 2004, 2370, 1010, 2247, 2007, 2048, 2895, 4481, 1997, 2848, 1998, 15815, 1010, 2029, 2002, 10951, 2000, 9748, 2006, 2327, 1997, 2169, 2060, 1999, 2344, 2000, 19141, 1037, 8292, 29577, 2098, 3348, 3496, 1012, 15591, 2006, 2010, 3311, 1999, 1996, 2792, 1010, 3779, 3090, 2008, 2002, 2001, 1037, 1000, 2502, 5470, 1000, 1997, 2155, 3124, 1010, 2383, 2855, 23386, 2265, 8543, 6662, 6097, 23511, 2044, 2002, 2018, 1999, 1037, 3576, 2535, 1999, 3779, 1005, 1055, 2230, 2143, 11868, 8867, 1012, 2096, 7467, 1996, 3185, 1010, 3779, 2018, 2584, 2041, 2000, 6097, 23511, 1010, 3038, 2008, 2002, 2052, 2293, 2000, 1000, 2709, 1996, 5684, 1000, 2011, 6037, 2006, 2155, 3124, 1010, 2029, 2776, 2419, 2000, 2010, 2535, 1999, 2023, 2792, 1012, 3883, 7918, 2638, 28619, 18009, 1998, 2376, 3364, 6174, 14674, 26426, 5643, 2036, 4113, 5652, 1999, 1996, 2792, 1012, 10694, 4113, 2376, 5889, 10481, 7987, 11012, 2368, 9438, 1010, 3213, 3889, 2655, 26685, 1010, 2376, 3364, 6798, 11721, 14515, 1010, 3213, 2928, 21863, 18532, 11639, 1010, 3213, 6266, 3044, 1010, 3213, 9752, 21396, 4939, 1998, 3213, 2198, 20098, 3678, 2036, 2081, 3576, 3922, 1012, 5889, 4754, 2162, 8569, 11715, 1998, 4205, 2225, 2081, 1037, 2261, 3922, 2004, 2092, 1012, 102, 101, 102, 101, 1027, 1027, 3451, 7604, 1027, 1027, 102, 101, 102, 101, 1996, 2792, 3397, 3365, 1999, 1030, 1011, 1030, 13198, 1998, 7604, 2000, 2060, 2824, 1012, 2004, 1996, 2792, 7480, 1010, 1996, 2155, 5927, 2019, 8874, 2055, 21732, 2005, 1996, 2208, 2265, 2155, 13552, 1012, 10561, 2000, 3046, 2041, 1010, 1996, 2155, 2003, 2855, 4217, 1010, 2247, 2007, 1996, 2155, 1997, 2265, 3213, 3889, 2655, 26685, 1012, 1996, 6903, 2838, 1037, 2128, 1030, 1011, 1030, 4325, 1997, 1996, 2208, 2265, 1005, 1055, 2434, 3299, 2275, 1998, 3513, 1010, 2164, 3677, 2957, 11026, 1005, 1055, 3218, 1997, 7618, 1996, 2931, 10584, 1012, 2004, 2019, 3437, 2000, 2028, 1997, 1996, 3980, 1010, 2848, 6067, 1000, 1996, 8928, 2008, 2952, 27263, 4232, 2209, 1010, 2034, 1999, 2010, 9647, 1010, 1998, 2059, 1999, 2613, 2166, 1010, 1999, 1996, 2792, 1000, 1996, 5110, 2422, 1000, 2013, 2732, 10313, 1024, 1996, 2279, 4245, 1012, 1000, 2059, 1010, 2076, 1996, 3435, 2769, 2461, 1010, 2043, 15815, 2001, 2356, 2000, 2171, 1037, 5440, 6209, 1010, 20717, 2666, 4660, 1023, 1013, 2340, 1012, 102, 101, 2043, 2848, 2003, 3107, 2000, 12669, 1010, 2002, 4654, 25154, 2015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0037549501977374067, 0.000008393628156921878, 0.02916428911429448, 0.050672048290266496, 0.013092513877470869, 0.0017458379515447923, 0.0015215570920603869, 0.0008600897516702362, 0.08855211866465933, 0.15681354090825778, 0.00003754703112516807, 0.004756733134401812, 0.004997446183079112, 0.06820882823732734, 0.018080830205391068, 0.0010973267131961406, 0.03240601968436886, 0.004898594093370215, 9.825011630358613e-9, 0.00010490126890160505, 0.0003070405435732276, 0.0002765632908079009, 0.005185011405981215, 0.002296151972715349, 0.006324388842963354, 0.0021994360739903875, 0.05187493331401729, 0.07879868459499216, 0.029321881026242017, 0.000013058093525241297, 0.0003721145611185971, 0.00001895601872637477, 0.10096579003098403, 0.0003128418556701632, 0.0015618937642588894, 0.03568046143125564, 0.0006609782773335852, 0.002540243763347865, 0.000049198524374035274, 0.000024420244355398512, 0.005596042037411693, 0.02488834767922427, 0.02423770290816615, 0.08098886821130138, 0.00022836882607889177, 0.017472460664469402, 0.0037169885655795537, 0.0010229313207145388, 0.04211616211142915, 0.00017450419310052916 ]
[ 1000, 1040, 1005, 2821, 999, 1000, 1010, 2000, 2029, 15815, 14054, 1000, 2053, 1010, 2848, 1010, 2008, 1005, 1055, 2025, 2115, 4608, 8458, 23797, 1000, 1010, 2019, 2035, 14499, 2000, 11525, 9304, 1999, 1996, 19047, 1012, 1999, 1037, 2582, 3535, 2000, 9239, 2848, 1005, 1055, 3638, 1010, 15815, 7288, 2000, 2265, 2848, 8333, 1997, 2037, 19227, 1010, 2029, 2003, 14563, 1997, 1996, 21887, 12698, 2007, 2049, 3496, 1997, 1037, 5835, 1997, 5404, 2872, 2090, 1996, 3232, 1010, 2004, 2027, 2024, 2119, 3564, 2006, 1037, 3509, 1012, 2183, 2006, 2000, 6570, 2848, 2129, 2000, 3298, 1010, 15815, 3957, 2032, 1037, 6100, 1997, 1996, 2678, 2208, 2882, 11933, 8285, 1012, 2004, 1037, 2765, 1010, 2002, 8563, 1037, 19215, 2007, 1037, 3598, 7151, 1010, 15539, 2014, 2769, 2059, 15539, 1037, 2482, 1010, 1999, 1037, 12354, 1997, 1996, 4506, 1996, 2447, 2003, 3039, 2000, 4685, 1999, 1996, 2208, 2993, 1012, 2848, 2036, 2417, 2483, 3597, 14028, 1000, 14175, 2378, 1005, 4743, 1000, 2011, 1996, 11669, 3549, 1998, 10955, 2000, 2009, 2096, 5613, 1010, 15703, 1996, 2155, 1012, 1996, 9258, 2015, 2018, 2042, 3130, 29026, 2011, 2009, 1999, 1996, 5066, 2161, 2792, 1000, 1045, 3959, 1997, 4441, 1000, 1010, 2029, 1996, 3213, 1997, 1996, 2792, 1010, 4422, 25686, 1010, 2036, 2626, 1012, 2012, 1996, 2203, 1997, 1996, 2034, 2552, 1010, 2043, 4422, 2758, 1000, 2821, 2053, 1000, 1010, 1006, 1999, 2173, 1997, 1996, 3293, 25347, 2013, 2305, 7945, 1007, 1037, 2186, 1997, 2317, 2006, 2304, 3793, 2003, 3491, 1010, 1999, 1037, 12354, 1997, 1996, 9476, 2897, 3796, 4639, 9880, 1012, 1996, 4639, 9880, 3743, 2036, 2838, 1996, 7284, 17882, 8389, 7427, 2109, 2011, 4419, 1010, 2021, 20736, 4419, 2007, 4639, 9880, 1012, 102, 101, 2703, 14851, 2013, 1000, 21843, 1000, 14252, 3084, 2019, 3311, 2043, 15815, 2003, 4252, 2848, 2129, 2000, 2224, 3165, 8059, 1012, 2016, 2758, 1000, 2023, 2003, 1037, 5442, 1000, 3038, 2010, 24532, 12870, 2003, 1037, 5442, 1010, 28789, 1037, 3297, 3496, 2013, 1996, 2143, 1012, 102, 101, 4192, 2188, 2013, 1037, 2305, 2041, 1010, 2848, 7545, 2188, 14841, 20961, 3490, 16215, 3111, 5054, 2013, 5552, 2011, 1996, 4330, 1010, 15743, 2135, 3241, 2002, 2003, 3039, 2000, 2031, 3348, 2007, 2014, 1012, 1996, 4431, 2003, 2081, 3154, 2043, 2848, 5176, 2014, 2065, 2016, 4149, 1037, 13016, 2478, 2014, 2769, 2013, 1996, 2265, 1012, 14841, 20961, 3490, 2036, 4136, 2848, 2002, 2342, 2025, 4737, 2055, 2014, 9530, 3401, 14966, 1010, 2004, 2016, 2003, 1000, 2525, 6875, 1012, 1000, 1999, 2613, 2166, 1010, 16215, 3111, 5054, 2001, 8074, 2014, 2034, 2775, 2012, 1996, 2051, 1012, 2044, 15815, 7288, 2000, 2681, 2848, 1010, 2016, 2003, 3491, 6023, 2005, 26298, 2012, 1996, 24209, 4430, 8649, 3006, 1012, 24209, 8490, 14503, 2063, 20727, 2135, 8107, 2014, 2013, 2369, 1010, 3038, 2010, 1000, 15453, 23806, 2100, 1000, 4608, 8458, 23797, 2000, 1996, 11420, 16226, 3605, 2011, 2198, 3766, 2005, 1996, 3339, 2143, 16113, 1012, 102, 101, 1996, 2516, 2003, 1037, 26136, 2006, 1996, 2691, 7655, 2502, 2158, 2006, 3721, 1010, 2021, 2007, 3721, 2904, 2000, 5099, 6873, 26468, 2271, 1010, 1037, 4431, 2000, 2848, 1005, 1055, 29222, 1999, 1996, 2792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00011261705018250863, 0.02250014975170855, 0.028150977527352097, 0.008138446605465787, 0.09690586608025255, 0.028009069840707033, 0.00024072040377978374, 5.207347337997433e-8, 0.003779569112428258, 0.0009123910738702565, 0.002251451669126737, 0.000005323458968972795, 0.06389682774602365, 8.855254663842232e-9, 0.010789626322178893, 0.0887837365221263, 0.03786376222928148, 0.0002848527746180385, 0.01704816404190964, 0.00014928728704682393, 0.0005907870381167266, 0.005023607252530789, 0.06777080123621684, 0.0006156189561790596, 0.03676355509574129, 0.000028779845507159332, 0.09486536103952144, 0.00003448264462447011, 0.00037501600355508796, 0.000052926249710650494, 0.06748566282968275, 0.004793626209619034, 0.0000037501258260766694, 0.05734024173293639, 0.005862531049047263, 8.855254663842232e-9, 0.043466705726965614, 0.010278199793707352, 0.0002180849342358995, 0.04979898783816301, 0.000014135300949932116, 0.03629484106725412, 0.04452390442334067, 0.00037531034685285325, 0.0008985794197624754, 0.002712582800422805, 0.00008163019831836057, 0.03772127712719654, 0.022186095577750635, 8.855254663842232e-9 ]
[ 1012, 102, 101, 102, 101, 1027, 1027, 7684, 1027, 1027, 102, 101, 102, 101, 1996, 2792, 2001, 7021, 1999, 1022, 1030, 1012, 1030, 1015, 2454, 5014, 1010, 1998, 2363, 1037, 13188, 5790, 1997, 1017, 1030, 1012, 1030, 1023, 1013, 1023, 1999, 1996, 2324, 1516, 4749, 15982, 1012, 1999, 2804, 1010, 2009, 2001, 2036, 1996, 2117, 2087, 7021, 1998, 2117, 3284, 6758, 2265, 2006, 4419, 1005, 1055, 7284, 17882, 10515, 1010, 3974, 3621, 2000, 1996, 19047, 1010, 2021, 2506, 2049, 2599, 2058, 2119, 1996, 6044, 2265, 1998, 2137, 3611, 999, 1999, 2561, 7193, 5605, 1998, 8599, 1012, 102, 101, 4391, 1997, 1996, 2792, 2020, 4997, 1010, 8951, 1996, 9994, 2004, 1000, 3647, 1010, 1000, 2302, 2151, 5805, 13198, 2005, 1996, 8739, 1997, 2108, 5805, 1012, 1000, 6289, 8791, 5292, 4226, 1997, 16270, 5868, 1996, 1000, 2522, 21579, 2466, 1000, 2004, 1000, 1031, 13034, 1033, 2006, 2049, 17839, 1010, 1000, 2021, 6367, 1996, 2186, 2005, 5719, 2000, 3743, 1999, 1996, 1018, 1024, 1017, 4289, 1010, 2004, 4941, 2000, 2898, 18182, 2066, 6097, 23511, 1005, 1055, 2060, 2048, 3065, 1012, 6927, 3158, 4063, 13777, 4246, 1997, 1996, 1037, 1012, 1058, 1012, 2252, 8182, 1996, 2792, 2062, 19762, 1010, 2174, 1010, 21289, 1996, 4898, 2005, 2478, 1000, 22628, 2004, 1037, 4857, 8560, 2000, 6865, 13198, 2006, 1010, 1000, 3228, 1996, 2792, 1037, 1040, 5790, 1012, 4463, 8099, 1997, 2694, 4686, 22429, 1996, 2444, 1030, 1011, 1030, 2895, 5537, 3794, 3779, 1010, 2004, 2092, 2004, 1996, 27891, 1997, 12669, 1005, 1055, 6180, 2000, 3443, 2019, 9596, 3663, 2007, 1996, 2155, 1012, 2750, 1996, 5399, 4997, 6256, 1010, 1996, 2792, 2145, 3092, 2039, 2006, 1996, 2087, 22817, 4178, 2862, 2006, 11943, 2230, 2128, 11101, 1012, 102, 101, 2827, 3149, 1021, 8585, 2363, 6256, 2005, 10499, 1996, 2792, 2006, 2260, 2257, 2297, 1010, 2403, 2847, 2044, 1996, 5920, 1997, 5863, 3766, 1010, 2040, 2838, 1999, 1037, 3013, 9497, 20242, 2008, 2002, 2003, 2058, 9250, 1012, 1037, 15974, 2005, 1996, 3149, 3525, 3090, 1000, 2009, 2001, 1037, 16507, 1000, 1012, 102, 101, 102, 101, 102, 101, 1027, 24951, 3736, 1027, 102, 101, 102, 101, 24951, 3736, 1010, 2036, 16042, 2050, 14386, 1010, 2003, 1037, 7560, 5154, 7804, 1997, 12971, 1010, 22876, 3701, 1999, 8191, 1998, 2060, 3033, 1997, 2167, 1998, 8763, 2634, 1010, 15897, 2005, 1996, 9740, 1998, 9526, 1997, 7488, 16313, 2063, 1998, 2036, 2005, 17376, 1998, 14165, 1012, 24951, 3736, 2003, 1996, 2905, 1997, 12436, 6342, 3211, 1010, 2332, 1997, 26539, 2015, 1006, 12971, 1007, 1998, 2564, 1997, 10878, 14855, 20697, 6673, 2226, 1006, 15723, 4017, 6673, 2226, 1007, 1012, 2016, 2003, 2036, 2124, 2004, 25292, 3270, 11077, 1006, 1996, 9799, 1997, 9947, 1007, 1010, 9152, 21426, 1006, 10721, 1007, 1998, 23731, 20203, 1012, 102, 101, 2014, 17218, 17902, 2014, 2919, 12178, 1998, 4895, 3270, 9397, 9961, 1010, 2349, 2000, 13893, 2011, 2014, 2269, 12535, 1998, 2014, 3129, 1010, 1998, 1996, 11150, 1997, 2014, 26959, 1010, 9212, 4305, 1006, 12535, 1005, 1055, 2564, 1010, 4453, 2007, 11968, 20203, 1999, 2023, 6123, 1007, 1012, 1999, 2070, 22481, 1010, 10878, 10556, 4095, 3148, 4502, 2003, 2641, 2000, 2022, 2014, 2269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.09712654331086405, 0.0126733897881058, 0.0873264222592877, 0.0788874959439346, 0.000022564867989410588, 0.00006883012358897924, 0.044954648307589336, 0.039236780437724945, 0.0032126937972494552, 0.0712157723644469, 0.00007359883267418626, 0.00285345472211735, 0.0003642081423934029, 0.000531976076384677, 0.016807116170523443, 0.011717550520558982, 0.0009428109609091674, 0.00015881978965420746, 0.00006004715484680535, 0.00672875741548221, 0.000024732751851416523, 0.0017866628832308763, 0.012694859478129376, 0.009855579543013323, 0.0657347414608227, 8.79528361711414e-9, 0.001420824120270474, 0.0009231485101817418, 0.0004190167196929944, 0.000060719913569699124, 0.0007867257858581945, 0.1063522150091908, 0.07309487888034902, 0.0008757756328407172, 0.00015353028046586077, 0.02550485120060996, 0.019501996781369303, 0.02454013948495199, 0.0006285658514028282, 0.00018220222177094456, 0.020632617444631175, 0.024949627003017245, 0.017171909974513132, 0.015836855383223318, 0.008240851636034533, 0.010375237397867134, 8.79528361711414e-9, 0.000265745459762437, 0.0016941493080451688, 0.08132834130644077 ]
[ 1010, 2738, 2084, 12535, 1012, 24951, 3736, 2003, 8212, 2004, 2785, 2000, 2014, 22707, 1010, 2021, 8401, 2000, 2111, 2040, 4188, 2000, 7425, 2014, 1012, 6380, 2440, 2643, 4974, 2011, 2014, 3816, 6687, 4270, 1010, 24951, 3736, 1521, 1055, 6614, 2001, 2000, 3929, 5323, 2014, 3691, 2004, 1037, 7804, 1998, 2000, 9878, 26261, 4215, 24333, 2529, 22707, 1012, 102, 101, 102, 101, 1027, 1027, 7321, 1027, 1027, 102, 101, 102, 101, 24951, 3736, 2034, 3544, 1999, 1996, 7560, 3793, 2012, 8167, 3567, 2310, 2850, 2004, 1037, 7488, 7804, 1012, 1999, 1996, 16405, 16737, 2015, 1010, 2016, 2001, 3858, 2004, 1037, 2684, 1997, 10878, 10556, 4095, 3148, 4502, 1998, 10556, 13626, 2226, 1010, 1996, 2388, 1997, 2035, 26539, 2015, 1012, 2011, 1996, 6400, 2301, 1010, 24951, 3736, 2001, 4453, 2004, 1996, 7804, 1997, 17376, 1998, 3510, 17105, 1998, 2001, 4632, 27605, 13776, 2046, 1996, 21146, 11444, 24152, 2004, 1037, 5816, 1997, 12535, 1012, 17218, 1043, 10626, 7810, 2014, 2011, 7851, 2008, 2016, 5552, 12535, 2044, 2002, 10749, 9947, 1010, 1998, 2310, 3678, 4383, 2014, 2004, 1996, 1000, 6366, 2099, 1997, 9947, 1000, 1012, 2014, 6217, 3473, 1998, 3659, 2000, 2670, 2634, 1010, 1998, 2014, 8754, 2211, 2000, 6538, 21146, 22486, 2993, 1012, 2004, 1037, 9509, 1010, 3441, 2012, 18886, 8569, 3436, 24951, 3736, 1005, 1055, 4182, 2000, 12535, 6003, 1998, 4821, 21146, 22486, 4233, 2023, 6284, 7804, 2046, 1996, 11655, 13890, 7476, 4535, 1997, 7731, 19632, 1012, 102, 101, 102, 101, 1027, 1027, 12696, 9888, 1027, 1027, 102, 101, 102, 101, 24951, 3736, 2003, 8212, 2004, 1037, 2450, 3139, 2007, 12971, 1010, 3564, 2006, 1037, 13030, 2030, 3061, 2588, 1037, 7488, 1012, 2016, 2003, 18304, 2011, 1996, 14582, 1997, 1996, 7415, 2015, 1997, 2698, 16604, 2015, 1012, 2823, 1010, 2016, 2003, 8212, 2007, 1037, 2775, 2006, 2014, 5001, 1012, 1996, 2775, 2003, 5071, 2000, 2022, 2014, 2365, 1010, 2004, 3775, 2912, 1012, 2016, 2003, 2411, 2170, 1000, 1996, 2028, 1030, 1011, 1030, 7168, 7804, 1000, 1998, 2426, 1996, 5292, 21958, 5917, 1997, 8763, 2634, 2016, 2003, 2170, 22827, 2072, 4487, 3148, 29698, 1006, 6397, 7804, 1007, 1010, 2004, 2028, 1997, 2014, 2159, 2001, 11060, 2011, 2014, 26959, 9212, 4305, 1012, 102, 101, 102, 101, 1027, 1027, 9489, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 24404, 22655, 14660, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 24404, 22655, 14660, 4136, 1996, 2466, 1997, 24951, 3736, 1005, 1055, 3510, 1012, 10878, 14855, 20697, 6673, 2226, 9051, 5729, 17151, 3334, 6447, 1998, 2018, 2787, 2000, 14689, 18249, 2013, 3510, 1012, 2320, 2002, 2234, 2408, 1037, 2177, 1997, 2273, 5689, 2013, 1037, 3392, 14961, 2091, 1012, 2122, 2273, 2020, 2010, 10748, 1010, 2040, 2020, 20076, 2000, 14624, 2004, 2037, 2336, 2018, 2025, 2864, 2037, 2197, 17105, 1012, 2061, 2027, 9449, 14855, 20697, 6673, 2226, 2000, 5914, 1998, 2031, 1037, 2365, 2040, 2071, 2489, 2068, 1997, 2216, 28616, 28077, 2011, 4488, 1996, 10912, 1012, 12436, 6342, 3211, 3253, 2010, 2905, 24951, 3736, 1005, 1055, 2192, 2000, 14855, 20697, 6673, 2226, 1012, 24951, 3736, 2388, 2098, 1037, 2365, 1010, 2004, 3775, 2912, 1010, 2040, 10650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.018722104519259004, 0.04713261140957547, 0.0003921951292904239, 0.010854002921801274, 0.00006155400713233486, 0.0007528728161128393, 0.04004202622226436, 0.0018025278281250108, 0.000025142527867003215, 0.000314877699677999, 0.003504312822902187, 0.000024262869418300255, 0.004581189294485171, 0.012149839049446047, 0.005122004173532151, 0.000010260306738105319, 0.00032216781216663683, 0.0014870822301312852, 0.025777537269814594, 0.040120110103805305, 0.0003222932853674337, 0.13226159320669903, 0.013630454478507897, 0.0003660982388594609, 0.0001188534572930758, 0.013698734495106727, 0.000518765306058734, 0.004504974032606432, 0.00005348483784311378, 0.0565265941582105, 0.000027576868544954292, 0.09702988005665361, 0.023453432697373103, 0.07882367061064208, 0.05718360921207233, 0.07767545726183002, 0.06453800818598138, 0.0007182911174484408, 0.00013270170481079888, 0.000036751534522954105, 0.07314080175008757, 0.000014058565096154964, 0.00001691450210070188, 0.009110340816099013, 0.007109261665526943, 0.012807093678835053, 0.016385859790601705, 0.001342644185565612, 0.000028942806479990085, 0.045224176479629806 ]
[ 2010, 10748, 1012, 2004, 3775, 2912, 2036, 3271, 1999, 7494, 1996, 26539, 2679, 2013, 6215, 2043, 2332, 23341, 4168, 3900, 3148, 2787, 2000, 4654, 3334, 19269, 2068, 2011, 17266, 3089, 8873, 6129, 2068, 1999, 2010, 8038, 22895, 2050, 1010, 2543, 5378, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 16405, 16737, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 16405, 16737, 2015, 2024, 1996, 2034, 22481, 2000, 3713, 2055, 2014, 4182, 1012, 2027, 13520, 2008, 10878, 10556, 4095, 3148, 4502, 2003, 2014, 2269, 1010, 2025, 12535, 2004, 2649, 1999, 1996, 8952, 26518, 10736, 3022, 1012, 2320, 1010, 2043, 16517, 2015, 1998, 20978, 2018, 2580, 8488, 2006, 1996, 3011, 1010, 10878, 10556, 4095, 3148, 4502, 2580, 7804, 24951, 3736, 2013, 2010, 2568, 1006, 24951, 1007, 1012, 1996, 8543, 2643, 11655, 22444, 2081, 2014, 1996, 18131, 12764, 1997, 12971, 1998, 20978, 1012, 24951, 3736, 4227, 2491, 2058, 1996, 3011, 1010, 2011, 1996, 2373, 1997, 25951, 2015, 2016, 16883, 2098, 1012, 24951, 3736, 2059, 17678, 29050, 3064, 1996, 2643, 1010, 12535, 1010, 2040, 2409, 2014, 2000, 3531, 10871, 1012, 2588, 2108, 7537, 1010, 10871, 4379, 2014, 7746, 15765, 19114, 4204, 1998, 8887, 2135, 22876, 2014, 1010, 2437, 2014, 2019, 2511, 7804, 1012, 102, 101, 10556, 4095, 3148, 4502, 2496, 24951, 3736, 2000, 10878, 15723, 4017, 6673, 2226, 1010, 2040, 3530, 2000, 5914, 2014, 2006, 1996, 4650, 2008, 2002, 2052, 2681, 2014, 2065, 2016, 4487, 6499, 19182, 2098, 2032, 1012, 2320, 1010, 2043, 15723, 4017, 6673, 2226, 2001, 20256, 2011, 24951, 3736, 1010, 2002, 2150, 6314, 2007, 2014, 2138, 2016, 20256, 2032, 2205, 2397, 2005, 7425, 1010, 1998, 2061, 2002, 12768, 2014, 1012, 2006, 1996, 5227, 1997, 1996, 2307, 7560, 5932, 1010, 15723, 4017, 6673, 2226, 2513, 2000, 24951, 3736, 1998, 2016, 2435, 4182, 2000, 2004, 3775, 2912, 1010, 2037, 2365, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 8952, 26518, 10736, 3022, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 8952, 26518, 10736, 3022, 2020, 13347, 2389, 6643, 11219, 2015, 2000, 2334, 17091, 2107, 2004, 24951, 3736, 1010, 3605, 1999, 8191, 2090, 1996, 6122, 1998, 1996, 4985, 4693, 1012, 1996, 24951, 3736, 8952, 26518, 10736, 2050, 2011, 12170, 3900, 2100, 20512, 1998, 24951, 3736, 17027, 2050, 1006, 17332, 2629, 1007, 2011, 12170, 18098, 8447, 2015, 28315, 11733, 2072, 7637, 1996, 4761, 1998, 17218, 1997, 1996, 7804, 1012, 102, 101, 2429, 2000, 24951, 3736, 17027, 2050, 1010, 24951, 3736, 2001, 2141, 2043, 1037, 6231, 1997, 2611, 2008, 2018, 2042, 19921, 2011, 12436, 6342, 3211, 1005, 1055, 2388, 2001, 5028, 2011, 12535, 1005, 1055, 7367, 3549, 1012, 12436, 6342, 3211, 3970, 24951, 3736, 2004, 2010, 2905, 1010, 1998, 4379, 2014, 3715, 1997, 1996, 9947, 2008, 2001, 2550, 2043, 2332, 26927, 2705, 2226, 6501, 2098, 1996, 3011, 2004, 1037, 11190, 1012, 2043, 12535, 2387, 24951, 3736, 1010, 2002, 2001, 12581, 6296, 2000, 2014, 1010, 2021, 2016, 4928, 2000, 2032, 2008, 2002, 2001, 2014, 2269, 1012, 12535, 2165, 24951, 3736, 2000, 2010, 2188, 2073, 2010, 2564, 1010, 9212, 4305, 1010, 6878, 24951, 3736, 1997, 2108, 12535, 1005, 1055, 9530, 10841, 16765, 2030, 2522, 1030, 1011, 1030, 2564, 1010, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.023622219283349156, 0.051443848872943065, 0.00010343498432042004, 0.004415572679036962, 0.002666449306438781, 0.027782860124314076, 0.002044663658845405, 0.0001958494893112615, 0.0001452960314822301, 0.000030551062824343234, 0.009388361296510257, 0.0023572622861242867, 0.015882131270495908, 0.000038756879604758455, 0.0062935312207552455, 0.00013316603592748402, 0.0002850040353434392, 0.000006260041703746271, 0.008534813135679645, 0.10404374356127755, 0.002217570474407789, 0.002080737155404459, 0.0004812364843362019, 0.06716628531811929, 0.08669647965470383, 0.0012768332051862725, 0.00040101088343901713, 0.024328328075193178, 0.022326238860939002, 0.08398826661056052, 0.005979793576206244, 0.011204697578573342, 0.10184321369190573, 0.00038964016639331077, 0.000028427021108322922, 0.000412248946654954, 0.000004381112601658496, 0.0014508585861768065, 0.00017639517247788563, 0.0009462849068997801, 0.007528891970406258, 0.0011734663355837999, 0.00009653300827718057, 0.05416746725525247, 0.10542165057146807, 0.044377736153486703, 0.06330606993640173, 0.04040920475692893, 0.007853105462053292, 0.0028531718125659055 ]
[ 23637, 24951, 3736, 1998, 11060, 2028, 1997, 2014, 2159, 1010, 2975, 24951, 3736, 2431, 1030, 1011, 1030, 6397, 1012, 2101, 1010, 2043, 12535, 2001, 5996, 1997, 9947, 1010, 24951, 3736, 21391, 2032, 1012, 2006, 2028, 6686, 1010, 2043, 9212, 4305, 6476, 2014, 1010, 24951, 3736, 10155, 2014, 3168, 3238, 2007, 1037, 6054, 1997, 2014, 9947, 3239, 1012, 2633, 1010, 5458, 1997, 26260, 2015, 2090, 24951, 3736, 1998, 9212, 4305, 1010, 12535, 12768, 24951, 3736, 2104, 1037, 3392, 1010, 2021, 2580, 1037, 7452, 2005, 2014, 2013, 2010, 4000, 1997, 23124, 1010, 2170, 5658, 2080, 2030, 5658, 2050, 1012, 102, 101, 2101, 1010, 1996, 10878, 15723, 4017, 6673, 2226, 2496, 24951, 3736, 1010, 2021, 9212, 4305, 9868, 24951, 3736, 1005, 1055, 5030, 2305, 1012, 9212, 4305, 9449, 24951, 3736, 2000, 4929, 7488, 24005, 1998, 2059, 4711, 1037, 10729, 1999, 1996, 7987, 16975, 4574, 2029, 3303, 1996, 12971, 2000, 2448, 2105, 1996, 4574, 1012, 2004, 1037, 9509, 1010, 1996, 10215, 15723, 4017, 6673, 2226, 2743, 2185, 2013, 1996, 2160, 1012, 2044, 2261, 2420, 1010, 2002, 2513, 1998, 2004, 3775, 2912, 1010, 2037, 2365, 1010, 2001, 2141, 1012, 102, 101, 5642, 2011, 2014, 11747, 1010, 5658, 2080, 1010, 24951, 3736, 9287, 2000, 3011, 2000, 6855, 2529, 22707, 1012, 2016, 2001, 3322, 24195, 2011, 1996, 2111, 2021, 2059, 24951, 3736, 3140, 2068, 2000, 7425, 2014, 2011, 24057, 10250, 10631, 3723, 2006, 2216, 2040, 6380, 2014, 2373, 1012, 2016, 3266, 2000, 10463, 2111, 2013, 2367, 7365, 1997, 2166, 1010, 2164, 1996, 5152, 7786, 17000, 1010, 2021, 3478, 2000, 10463, 9212, 2094, 6517, 16098, 2099, 1012, 24951, 3736, 2359, 2000, 2468, 1037, 7804, 2066, 21352, 2030, 7354, 26760, 10450, 1012, 1999, 2344, 2000, 2131, 2045, 2016, 2018, 2000, 6162, 1996, 7425, 9212, 2094, 6517, 16098, 2099, 2040, 2001, 5186, 29502, 1998, 2165, 11292, 2025, 2000, 7425, 24951, 3736, 1012, 2947, 2000, 5114, 2010, 3571, 1998, 16021, 8586, 25137, 24951, 3736, 2028, 2011, 2028, 2730, 2010, 2416, 4124, 1012, 2012, 2197, 24951, 3736, 9530, 13102, 27559, 2114, 2048, 10487, 1997, 27427, 8180, 2457, 2040, 3866, 2169, 2060, 1010, 2019, 4313, 6784, 3270, 1998, 2149, 3270, 1012, 2019, 4313, 6784, 2232, 2018, 2000, 2202, 4182, 2004, 2474, 10023, 22254, 2121, 1010, 9212, 2094, 1998, 2624, 11905, 1005, 1055, 5066, 2365, 1012, 2149, 3270, 2165, 4182, 2004, 2022, 21886, 2050, 1998, 2496, 2032, 1012, 24951, 3736, 2730, 2032, 2021, 2022, 21886, 2050, 13715, 2006, 2300, 2005, 3157, 2706, 2007, 1996, 2757, 2303, 1997, 2014, 3129, 1998, 2633, 2716, 2067, 1996, 3268, 1997, 1996, 2698, 4124, 1998, 1996, 2439, 14165, 1997, 9212, 2094, 1012, 2012, 2197, 1010, 2002, 17544, 2011, 5378, 1037, 6546, 2000, 1996, 7804, 2007, 2010, 2187, 2192, 2302, 2130, 2559, 2012, 2014, 1012, 2023, 9218, 2081, 24951, 3736, 2061, 3407, 2008, 2016, 23053, 2035, 1997, 9212, 2094, 1005, 1055, 4124, 1998, 5854, 2010, 4476, 1998, 18023, 1012, 1996, 8952, 2140, 10556, 10736, 3022, 2360, 2008, 2044, 2023, 1010, 1996, 7425, 1997, 24951, 3736, 2001, 2759, 5091, 2062, 1012, 102, 101, 24951, 3736, 8952, 26518, 10736, 2050, 12332, 24951, 3736, 1005, 1055, 7669, 1999, 15411, 22707, 2000, 2019, 4895, 29427, 8364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.009923797821586224, 0.000007668287464717366, 0.1813020437024862, 0.12675373725813266, 0.008173099024480688, 0.04817143668475243, 0.006937378712347481, 0.007863850987848107, 0.0010592462700857092, 0.11228885076022636, 0.000059754786739330764, 0.011601106572816555, 0.0008575571066186161, 0.015331674173562095, 0.0004170894594156128, 0.00039009247841556056, 0.00016844169862797494, 0.1092428875826708, 0.000010869468510352264, 0.0022655761865922326, 7.25720740481981e-9, 0.0010539316195952314, 0.0010818357868388306, 0.0011022554435021934, 7.25720740481981e-9, 0.053990217560114274, 0.00018946459401546792, 0.0034596681507815816, 0.02173413131202706, 0.09482232071608386, 0.018079649464579614, 0.01815722882142428, 0.000704108760668423, 0.00007394832551160959, 0.008384973689334036, 0.018570999916172958, 0.051952700781458486, 2.1097672386651738e-7, 0.002461834720016967, 0.0000871255215098651, 0.0038863183170157302, 0.0001253631859558284, 0.0014848668706507917, 0.049298711873121515, 0.0000064287012603417285, 0.0016751295169964192, 0.002802299241883676, 0.00032056730722819325, 0.0009008860668910459, 0.0007666492208434427 ]
[ 2016, 2435, 2000, 9212, 2094, 1999, 2010, 3025, 2166, 1012, 9212, 2094, 2059, 2128, 9080, 15070, 2007, 1037, 4675, 1030, 1011, 1030, 8364, 2008, 7425, 4691, 2014, 2052, 2025, 2022, 2759, 2006, 3011, 4983, 2002, 22876, 2014, 2036, 1012, 102, 101, 1999, 2116, 19187, 2015, 1997, 1996, 10661, 1010, 24951, 3736, 2003, 8212, 2004, 2108, 3243, 7790, 2006, 5658, 2050, 1006, 6964, 8078, 2004, 1037, 9378, 2121, 10169, 1007, 2005, 4784, 1998, 7191, 2490, 1012, 1999, 2755, 1010, 1997, 1996, 2048, 1010, 24951, 3736, 2003, 2411, 1996, 5236, 2121, 2028, 1011, 1037, 8025, 6013, 1997, 14405, 8093, 7361, 19506, 14536, 23108, 1012, 102, 101, 18887, 2050, 1047, 1012, 2522, 9626, 8180, 4213, 8029, 1998, 2905, 9152, 7178, 6590, 2360, 1010, 1000, 1031, 1996, 1033, 5722, 1997, 1031, 9212, 2094, 6517, 16098, 2099, 1998, 1033, 24951, 3736, 14386, 1010, 1031, 1012, 1012, 1012, 1033, 2040, 2442, 2022, 2004, 2214, 2004, 1996, 2026, 7520, 11219, 2358, 8609, 2819, 1999, 23983, 2554, 1010, 11138, 1996, 4736, 2090, 1996, 4676, 1997, 12535, 1998, 2008, 1997, 2931, 2334, 17091, 1999, 8191, 1012, 5728, 24951, 3736, 2030, 23731, 2001, 3858, 2004, 1037, 2433, 1997, 21146, 22462, 1010, 1031, 1012, 1012, 1012, 1033, 1998, 2014, 7425, 3970, 2011, 21146, 11444, 2015, 1012, 2016, 2003, 1037, 4403, 1997, 1996, 2388, 1030, 1011, 1030, 16968, 2040, 2005, 2061, 2116, 7425, 7347, 2003, 20388, 1998, 6203, 2121, 2084, 1996, 2521, 1030, 1011, 1030, 2125, 1998, 17727, 18617, 2389, 12535, 1012, 1012, 1012, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 7425, 1027, 1027, 102, 101, 102, 101, 3227, 1010, 24951, 3736, 2003, 22876, 2302, 2019, 3746, 1012, 1037, 3589, 1997, 1037, 3392, 1010, 2019, 3011, 2368, 8962, 2030, 2019, 3011, 2368, 7488, 3746, 2003, 22876, 2004, 1996, 7804, 1010, 2295, 4871, 1997, 24951, 3736, 2024, 22876, 2205, 1012, 2016, 2003, 22876, 2005, 3860, 2013, 1998, 9526, 1997, 7488, 15424, 1998, 16514, 7870, 2066, 25765, 1998, 7975, 13433, 2595, 1012, 102, 101, 1996, 8754, 1997, 24951, 3736, 2003, 2087, 6923, 1999, 8191, 1010, 2073, 2016, 2003, 8887, 2135, 22876, 1999, 8436, 1012, 1996, 7804, 2003, 4235, 22876, 1999, 1996, 16373, 2161, 1010, 2043, 1996, 12971, 2024, 2087, 3161, 1012, 24951, 3736, 2003, 2036, 1037, 2200, 2590, 17376, 12764, 1010, 2926, 2426, 1996, 2896, 26254, 1010, 1998, 2014, 24618, 2024, 24959, 2076, 3510, 2030, 2005, 26983, 2791, 1012, 2016, 2003, 2788, 22876, 1998, 3855, 2247, 2007, 5658, 2080, 1010, 2040, 2003, 2170, 5658, 2050, 1010, 5658, 3593, 18471, 7088, 1010, 5658, 7911, 25168, 10050, 1010, 4385, 1012, 1999, 2536, 3033, 1997, 8191, 1012, 102, 101, 1999, 2167, 8191, 1010, 2426, 1996, 11948, 8193, 6182, 2015, 1010, 24951, 3736, 1006, 2170, 20377, 6806, 16977, 1010, 20377, 6806, 16368, 2072, 2030, 23731, 20203, 1007, 2003, 2028, 1997, 1996, 2087, 2590, 7804, 2229, 1010, 1998, 2014, 22794, 2319, 1006, 9571, 1007, 2089, 2022, 2179, 1999, 1996, 10119, 1997, 2471, 2296, 23226, 4398, 1012, 2426, 1996, 2896, 1030, 1011, 1030, 14542, 18221, 1997, 2264, 8191, 1006, 2556, 1030, 1011, 1030, 2154, 7269, 1007, 2205, 1010, 2016, 2003, 22876, 2007, 2307, 13433, 8737, 1012, 102, 101, 24951, 3736, 2003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ]
[ 0.05352130842506018, 0.0000493154317593195, 0.004041013812635196, 0.08103332559807269, 0.029226275773698504, 0.000015610169076136475, 0.021347119046689907, 0.005507294664943242, 7.604250471844574e-9, 0.0006211149601862469, 7.604250471844574e-9, 0.14317412222846976, 0.00010153899161095713, 8.946909305720325e-7, 7.604250471844574e-9, 0.0000013165775200243704, 0.000006402981721589392, 0.000005004257301268493, 0.03645741328559505, 0.00040093485694634855, 0.02876221855554883, 0.0006225525972232335, 0.0000040469788842063, 0.00010016403852510972, 7.030925772533753e-8, 0.013303176937814189, 0.049739168113399686, 0.041712980097535636, 0.000007387013627212568, 0.000056656797378463456, 0.0027507130774386663, 0.07598918944499637, 0.0000016503869025950616, 0.0014651571106655578, 0.024584364562577857, 0.0000347753124339714, 0.0016224042109183735, 0.036233059252901496, 0.00003991673724782069, 0.005667581444867759, 0.00018469988757229588, 0.059206027651408824, 0.000046572793314325304, 0.0011776768021030072, 0.10126083491879571, 0.00004863304101163948, 0.0002146959016160449, 0.0008069305243938091, 0.178836841759461, 0.000009825175210139742 ]
[ 2019, 2926, 2590, 12764, 1999, 8191, 2005, 1996, 25420, 26254, 1012, 2023, 2003, 2138, 9212, 3527, 1997, 1996, 24951, 21559, 18222, 2140, 2001, 1996, 2034, 2000, 17820, 2014, 7425, 1010, 1998, 2022, 21886, 2050, 1010, 1996, 18869, 1997, 1996, 24951, 21559, 18222, 2140, 2001, 1037, 2684, 1997, 1996, 7842, 3270, 6338, 1006, 1037, 3928, 6202, 2451, 1007, 1012, 102, 101, 24951, 3736, 2003, 2036, 22876, 8077, 1999, 15181, 1010, 1998, 1037, 2785, 1997, 1051, 3900, 1030, 1011, 1030, 28619, 1006, 3315, 5154, 3004, 1007, 2003, 4056, 4498, 2000, 2014, 10661, 1012, 102, 101, 24951, 3736, 2003, 12961, 2135, 22876, 2006, 6583, 2290, 6090, 7507, 4328, 1011, 1037, 2782, 1997, 7488, 7425, 1999, 1996, 7560, 3204, 1997, 14021, 2527, 6212, 1006, 2251, 1516, 2257, 1007, 1012, 11267, 2308, 11949, 1037, 3435, 1006, 27830, 6790, 1007, 2006, 2023, 2154, 1998, 3749, 6501, 2012, 7488, 8198, 1012, 102, 101, 102, 101, 1027, 1027, 3862, 8436, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 13164, 2273, 3527, 13159, 1027, 102, 101, 102, 101, 13164, 2273, 3527, 13159, 1006, 1031, 1049, 29681, 29715, 3654, 1049, 29681, 2078, 29715, 2094, 29698, 29673, 1033, 1025, 3819, 2098, 11379, 1024, 13164, 2273, 27584, 2290, 1007, 2003, 1037, 2304, 1030, 1011, 1030, 1998, 1030, 1011, 1030, 2317, 3689, 2143, 2013, 1996, 3803, 2264, 9429, 1006, 2085, 6239, 1007, 2856, 2011, 8945, 2368, 12631, 15125, 1998, 2550, 2011, 17076, 21929, 2243, 4682, 2213, 2005, 2586, 3152, 1012, 4626, 16428, 2061, 19025, 19139, 1010, 1051, 2098, 8405, 2290, 1010, 8945, 2368, 8755, 3775, 1010, 1998, 2061, 11106, 6679, 2532, 1010, 2009, 4076, 2048, 2402, 10205, 2040, 2024, 5459, 2011, 3658, 2021, 4821, 25372, 2012, 1996, 2352, 1997, 13164, 2273, 3527, 13159, 1999, 22132, 2953, 1012, 2023, 2143, 1010, 2586, 1005, 1055, 5066, 1998, 2345, 2537, 1010, 2001, 2915, 15442, 2007, 2061, 14644, 2050, 2022, 15185, 14268, 1998, 2949, 2058, 1037, 2558, 1997, 2093, 2706, 1012, 2009, 2001, 2207, 1999, 2220, 3758, 1998, 12238, 2004, 2397, 2004, 2251, 1997, 2008, 2095, 1010, 2021, 2089, 2085, 2022, 2439, 1012, 102, 101, 102, 101, 1027, 1027, 5436, 1027, 1027, 102, 101, 102, 101, 2663, 26802, 1005, 1055, 2269, 1010, 10958, 4181, 12849, 2229, 8913, 2863, 1010, 4136, 2032, 2008, 2002, 2323, 8179, 2010, 2564, 1010, 2128, 2102, 7229, 8613, 19190, 1010, 2000, 5914, 2010, 5542, 27596, 2232, 1010, 2006, 5081, 1997, 2108, 4487, 6499, 7962, 2098, 1012, 2000, 8622, 2014, 3129, 2013, 2023, 6580, 1010, 2128, 2102, 7229, 8613, 19190, 7288, 2000, 10824, 2032, 1998, 5829, 2013, 2316, 5575, 2000, 28917, 1006, 2085, 14426, 1007, 1010, 2073, 2016, 3268, 1037, 2166, 1997, 5635, 1012, 4242, 2000, 2014, 1010, 2023, 3247, 2003, 2109, 2011, 10958, 4181, 12849, 2229, 8913, 2863, 2004, 6947, 1997, 2014, 2008, 2016, 2001, 2025, 3404, 13966, 1012, 2663, 26802, 4212, 2046, 13905, 1010, 2021, 2776, 19941, 27596, 2232, 1012, 102, 101, 7763, 2086, 2101, 1010, 2663, 26802, 1998, 27596, 2232, 2031, 2018, 1037, 2684, 2315, 12849, 4355, 5498, 1006, 8945, 2368, 8755, 3775, 1007, 1010, 2040, 2003, 5702, 1999, 28917, 1012, 5161, 1010, 19415, 1010, 1998, 3376, 1010, 2016, 2003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000030387085901532777, 0.0005057818115812294, 0.020020688441436004, 7.748943528412556e-9, 0.00010399447290525018, 0.005473257746938459, 0.0002216566949398198, 0.0021367044936341888, 0.004483629955952422, 0.00041412801200954423, 0.03912541116167914, 0.001243854852555923, 0.02131248399680336, 0.06205965364259954, 0.1768054391859297, 0.000046261833187022105, 0.000011118350096020682, 0.015128972834847161, 0.001918083187791965, 0.001976100342601211, 0.011898183493631953, 0.04318811518940214, 0.000026634984227850468, 0.00489182882732996, 0.00031405940441315904, 0.03008789589324769, 0.001152657633404737, 0.00004419692101369901, 0.12457742456415251, 0.00003185521163181517, 0.029707879309875666, 0.12333289549874785, 0.022613944024912933, 0.0007644760972982476, 0.028207545843061527, 0.008167997191963207, 0.008915366958166453, 0.001199461063543814, 0.0001289416332918267, 0.008668657017325566, 0.014345836998837526, 0.0005633669380653805, 0.0007472321645125129, 0.014708549296549755, 0.10010949430960776, 0.00015735558508114727, 0.00039828290719457133, 0.000013499659725093136, 0.000007328927086155923, 0.06801142060036455 ]
[ 2759, 2007, 2402, 2273, 2021, 2069, 5651, 1996, 12242, 2015, 1997, 2061, 2098, 14339, 2080, 1006, 16428, 2061, 19025, 19139, 1007, 1010, 1037, 2402, 3353, 6887, 27292, 6305, 2923, 2040, 2003, 13205, 1998, 15514, 1012, 2028, 1997, 2014, 12996, 7228, 4848, 5668, 1010, 2061, 19025, 29418, 1010, 7288, 2000, 10083, 2037, 3276, 2011, 4129, 2663, 26802, 2008, 12849, 4355, 5498, 2038, 2985, 2035, 1997, 2014, 2051, 11777, 3337, 2738, 2084, 5702, 1012, 8929, 2122, 3658, 1010, 2663, 26802, 17722, 12849, 4355, 5498, 2000, 2316, 5575, 1012, 102, 101, 12849, 4355, 5498, 4212, 5665, 1010, 1998, 2014, 2331, 2003, 2988, 1012, 5533, 5506, 2011, 1996, 2739, 1010, 2061, 2098, 14339, 2080, 4269, 13071, 6614, 10895, 1012, 4821, 1010, 2004, 2065, 8546, 2011, 2070, 16100, 2486, 1010, 2002, 9418, 12849, 4355, 5498, 4142, 1999, 1037, 2352, 2170, 13164, 2273, 3527, 13159, 1010, 2379, 22132, 2953, 1012, 2023, 5456, 7545, 2032, 2067, 2000, 2010, 9456, 1010, 1998, 1996, 2048, 2024, 2583, 2000, 2444, 11361, 2362, 1012, 102, 101, 102, 101, 1027, 1027, 2537, 1027, 1027, 102, 101, 102, 101, 13164, 2273, 3527, 13159, 2001, 2856, 2011, 8945, 2368, 12631, 15125, 2005, 2586, 3152, 1010, 1037, 2537, 2160, 2241, 2041, 1997, 28917, 1006, 2085, 14426, 1007, 2029, 2001, 2448, 2011, 1056, 5558, 2050, 5003, 1056, 5558, 2368, 1998, 13790, 2011, 17076, 21929, 2243, 4682, 2213, 1012, 1037, 2614, 16661, 2011, 2731, 1010, 13164, 2273, 3527, 13159, 2001, 8945, 2368, 1005, 1055, 2069, 2440, 21635, 4923, 1012, 4682, 2213, 2366, 2004, 3135, 1012, 1996, 2143, 2001, 2623, 1999, 2244, 3874, 1998, 2550, 15442, 2007, 2061, 14644, 2050, 2022, 15185, 14268, 1006, 15779, 3560, 2376, 1007, 1010, 1037, 2143, 2006, 2029, 8945, 2368, 6051, 2004, 3353, 2472, 1012, 13164, 2273, 3527, 13159, 2001, 2949, 2011, 2285, 3874, 1010, 2044, 2061, 14644, 2050, 2022, 15185, 14268, 1012, 102, 101, 1996, 2304, 1030, 1011, 1030, 1998, 1030, 1011, 1030, 2317, 2143, 5652, 16428, 2061, 19025, 19139, 1010, 1051, 2098, 8405, 2290, 1010, 8945, 2368, 8755, 3775, 1010, 1998, 2061, 11106, 6679, 2532, 1025, 2009, 2036, 2956, 9350, 2532, 6520, 8913, 9148, 2696, 1010, 9350, 11649, 19190, 1010, 11721, 7849, 2072, 6904, 2094, 16084, 1010, 1998, 22078, 3736, 1012, 1051, 2098, 8405, 2290, 2018, 6051, 2005, 2586, 2144, 2049, 2034, 2143, 1010, 16135, 6559, 17710, 2696, 4213, 1006, 1996, 5870, 7308, 1025, 3878, 1007, 1010, 2096, 2061, 19025, 19139, 1998, 2061, 11106, 6679, 2532, 2018, 2081, 2037, 26740, 1999, 2061, 14644, 2050, 2022, 15185, 14268, 1012, 8755, 3775, 1010, 1037, 2754, 3883, 2040, 3498, 2014, 2219, 16017, 1010, 2001, 1037, 16866, 2000, 5988, 1012, 2023, 3459, 2001, 1997, 2536, 17522, 1030, 1011, 1030, 3171, 15406, 1010, 2164, 7015, 3549, 1998, 2754, 5889, 1012, 2348, 2586, 3090, 2008, 1996, 2143, 2001, 2081, 2247, 2613, 2923, 3210, 1998, 6461, 2012, 5161, 7193, 1010, 11427, 2000, 1996, 10502, 1997, 2754, 5889, 1516, 2111, 2040, 2788, 21474, 2896, 2465, 9501, 1516, 1996, 9003, 2143, 5272, 28616, 7693, 9805, 3736, 12170, 5521, 6083, 2008, 2023, 2001, 4895, 16344, 5657, 1012, 102, 101, 102, 101, 1027, 1027, 2713, 1998, 8027, 1027, 1027, 102, 101, 102, 101, 13164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ]
[ 0.007229826078912779, 0.005033617119986097, 0.0025083042373609137, 0.005547816180398984, 0.00009961533555966964, 0.000039506025134899144, 9.591160538590544e-7, 0.00029885807815156285, 0.03457301327222997, 0.0010930436074121596, 0.0037628264294868687, 0.00001832637960290399, 0.009740039153216255, 0.007939141854686162, 0.11761831392328344, 0.007831241231040707, 0.07467660940504495, 0.0002925780035842042, 0.04387680535058032, 0.0024427682523789442, 0.005983838554263363, 8.051283455096469e-9, 0.000026690714093419186, 0.032148855299008246, 0.06837937895719252, 0.0000025765441421009846, 0.019750684148678376, 0.00020715446819270905, 0.15568088427490726, 0.006810420425137639, 0.00047337825553893603, 0.0036309139299137197, 0.011239137665217929, 0.03564166817253312, 0.0000037440415709513297, 0.003843859137273018, 0.01884703743051308, 0.001504982329402239, 0.03688874132294551, 0.05747506432777045, 0.000505443540775912, 0.000010139685167883866, 0.1513406719675439, 0.01435471962014661, 0.00003506176630127029, 0.015278441008912416, 8.051283455096469e-9, 0.00009366606577181396, 0.000029041178170555988, 0.03519058003224244 ]
[ 2273, 3527, 13159, 2001, 2207, 1999, 2220, 3758, 1010, 1996, 5066, 1998, 2345, 2143, 2949, 2011, 2586, 1012, 2007, 1037, 2887, 5274, 23430, 1010, 1996, 2337, 3758, 3179, 1997, 1996, 2143, 2932, 2566, 2102, 3900, 3406, 23169, 18629, 6200, 4907, 2143, 2988, 2008, 2195, 4835, 2052, 2693, 2185, 2013, 1996, 5336, 3007, 1997, 28917, 2030, 2175, 2006, 1037, 2537, 14221, 1012, 2586, 1010, 2295, 2525, 2927, 2537, 1997, 1037, 2143, 2275, 1999, 1996, 16686, 22068, 16584, 3690, 4159, 5477, 2906, 24185, 10581, 2078, 1010, 2001, 3140, 2000, 2485, 4497, 1025, 2009, 2196, 11882, 1012, 2061, 19025, 19139, 2513, 2000, 1996, 2143, 3068, 1999, 1996, 4856, 1998, 2001, 3161, 2127, 1996, 3955, 1010, 3262, 5827, 2004, 14916, 7265, 10556, 19139, 1012, 102, 101, 13164, 2273, 3527, 13159, 2001, 12238, 2004, 2397, 2004, 2251, 3758, 1010, 2021, 2089, 2085, 2022, 2439, 1012, 5691, 1999, 1996, 9429, 2020, 2680, 2006, 3811, 13109, 3286, 24088, 29607, 2143, 1010, 1998, 2044, 1037, 2543, 3908, 2172, 1997, 4013, 28351, 5332, 2143, 11265, 24864, 1005, 1055, 9746, 1999, 3999, 1010, 2214, 3152, 2915, 2006, 29607, 2020, 9969, 3908, 1012, 2004, 2107, 1010, 1996, 2137, 5107, 21571, 6382, 1043, 1012, 2002, 18688, 6083, 2008, 2035, 9003, 3152, 2013, 2077, 3925, 2024, 2439, 1012, 2174, 1010, 1046, 1012, 1038, 1012, 19031, 5794, 3406, 1005, 1055, 29354, 21197, 2143, 6239, 2636, 2195, 2004, 2383, 5175, 2012, 8254, 14545, 23125, 6239, 1005, 1055, 8264, 1010, 1998, 12170, 5521, 7009, 2008, 2195, 2887, 10398, 3152, 2031, 5175, 2012, 1996, 4549, 2231, 2592, 2326, 1012, 102, 101, 102, 101, 1027, 1027, 4654, 24759, 5162, 7062, 3964, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 4202, 1058, 1012, 10272, 3511, 1027, 102, 101, 102, 101, 4202, 1058, 1012, 10272, 3511, 1010, 19289, 1057, 1012, 1055, 1012, 5139, 2620, 1006, 5141, 1007, 1010, 2001, 1037, 2553, 2657, 2077, 1996, 4259, 2457, 1997, 1996, 2142, 2163, 2006, 2258, 2382, 1998, 2089, 1015, 1010, 5141, 1010, 2000, 5630, 1996, 9560, 1997, 1996, 11621, 5612, 19100, 2602, 1997, 6166, 1012, 1996, 5507, 10762, 3215, 2020, 3951, 19100, 4018, 2520, 1055, 1012, 4202, 1998, 3537, 3812, 19100, 4018, 1046, 1012, 1039, 1012, 1059, 1012, 10272, 3511, 1012, 1999, 1996, 2281, 1021, 1010, 6166, 1010, 2602, 1010, 4202, 2363, 19984, 1030, 1010, 1030, 6390, 2549, 4494, 2000, 7672, 2520, 2175, 15878, 2884, 1005, 1055, 19871, 1030, 1010, 1030, 27533, 1012, 2023, 2765, 2001, 7378, 2011, 1037, 1016, 1516, 1015, 3247, 1997, 1996, 2110, 1005, 1055, 2604, 1997, 3864, 1012, 2175, 15878, 2884, 8315, 1996, 2602, 3463, 2006, 1996, 3978, 1997, 6884, 6830, 28868, 1010, 1998, 1996, 7672, 1030, 1011, 1030, 4758, 5612, 2236, 3320, 2719, 1037, 2837, 2000, 8556, 2175, 15878, 2884, 1005, 1055, 4447, 1012, 2175, 15878, 2884, 2001, 2915, 2006, 2254, 2382, 1010, 5141, 1010, 2028, 2154, 2077, 1996, 2236, 3320, 4844, 1996, 2837, 1005, 1055, 3189, 13752, 2438, 4202, 4494, 19528, 2000, 7370, 1996, 2602, 2000, 2175, 15878, 2884, 1012, 2004, 2002, 3913, 5996, 1997, 2010, 8710, 1010, 2175, 15878, 2884, 2001, 10741, 2046, 2436, 2006, 2254, 2861, 1010, 5141, 1012, 2002, 2351, 2006, 2337, 1017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.039098218335801925, 0.044020460577389495, 0.1194039056751672, 0.01514018526648969, 0.026679595703905965, 0.006278803364492281, 0.0008455178176069885, 0.0007944204508468762, 0.00001578110204150677, 0.00020554982177177156, 0.01647785718039149, 0.12605711337689124, 0.0665442625319606, 0.004528191994365961, 0.01481018573919992, 0.1099054324158532, 0.00002045043300601214, 0.0019683381375974387, 0.0000652494421941855, 0.0069464598824580965, 0.00012396801911911768, 0.08792812534279737, 0.005369553330506752, 0.000296897127301591, 0.00030059949031949423, 8.988012687479708e-9, 0.0006583767699886585, 0.0012250341767298415, 0.00009406212143592991, 0.009715646754664386, 0.018142556795599722, 0.07519263218984981, 0.003735569153267677, 0.024830666312519012, 0.02106477884326958, 0.04102476382216684, 0.02083828577792445, 0.00001773615625404137, 0.0004798799422384044, 0.026908360164901723, 8.988012687479708e-9, 3.448842807651442e-8, 0.007013711878675134, 0.00021918061590776796, 0.002244742091465532, 0.00010095174133860041, 0.0023313663609994505, 0.003306879415138076, 0.03246753564326588, 0.014562108248469813 ]
[ 1010, 5141, 1010, 1998, 10272, 3511, 19644, 2000, 1996, 11141, 5605, 1012, 102, 101, 6815, 1996, 2236, 3320, 1005, 1055, 3247, 2001, 19528, 1010, 4202, 12923, 2000, 4652, 10272, 3511, 2013, 28428, 1996, 3691, 1997, 1996, 3099, 1005, 1055, 2436, 1012, 10272, 3511, 24094, 5657, 2094, 4202, 2005, 6664, 1997, 1996, 2110, 9424, 1998, 3099, 1005, 1055, 7330, 1012, 1996, 11072, 2020, 10495, 1998, 2657, 1999, 7625, 2221, 4984, 2457, 1010, 2029, 3555, 2009, 2018, 2053, 3691, 2000, 15115, 2007, 1996, 4118, 1997, 10561, 7259, 3864, 16250, 2011, 1996, 2110, 4552, 1010, 2019, 9560, 2008, 12287, 10272, 3511, 1012, 1996, 5612, 2457, 1997, 9023, 16813, 1996, 4984, 2457, 1005, 1055, 3247, 2006, 5574, 1998, 5837, 4202, 1005, 1055, 4366, 2008, 2002, 2018, 2042, 17676, 1997, 3200, 2302, 2349, 2832, 2011, 5517, 2008, 2019, 11322, 3512, 2436, 2001, 2025, 3200, 1998, 2947, 2025, 5123, 2011, 1996, 15276, 7450, 1012, 102, 101, 1996, 13341, 1997, 4202, 1005, 1055, 4366, 2104, 1996, 15276, 7450, 2435, 2032, 5286, 2000, 5574, 1996, 3247, 2000, 1996, 1057, 1012, 1055, 1012, 4259, 2457, 1012, 1999, 1037, 3484, 5448, 5359, 2011, 2708, 3425, 20154, 12548, 1010, 1996, 4259, 2457, 2036, 5837, 4202, 1005, 1055, 4366, 2000, 3279, 1997, 3200, 2302, 2349, 2832, 1998, 2947, 4188, 2000, 18793, 2006, 4202, 1005, 1055, 6852, 1010, 6815, 2008, 2053, 2976, 3314, 2020, 1999, 3160, 1998, 1996, 2457, 10858, 7360, 1012, 19867, 3897, 1010, 2317, 1010, 11895, 8180, 1010, 1998, 18082, 3511, 9530, 10841, 20529, 2007, 1996, 3484, 5448, 1012, 3425, 3312, 21749, 9530, 10841, 20529, 2007, 1996, 3247, 2000, 19776, 1010, 2021, 5228, 17829, 2055, 1996, 9128, 2008, 2019, 2700, 2436, 2001, 2025, 3200, 1012, 3425, 2585, 1046, 1012, 18710, 1010, 2587, 2011, 3425, 2888, 1038, 1012, 2829, 1010, 27481, 2098, 2008, 1996, 4259, 2457, 2106, 2031, 7360, 1010, 2021, 9530, 10841, 20529, 2007, 1996, 2765, 1999, 5684, 1997, 10272, 3511, 1012, 5982, 12722, 2937, 2198, 5832, 24276, 8786, 1996, 10459, 24116, 2013, 1996, 3484, 5448, 1010, 6815, 2008, 1996, 2457, 2106, 2031, 7360, 1998, 2323, 2031, 2179, 1999, 5684, 1997, 4202, 2241, 2006, 2010, 4366, 1997, 3279, 1997, 3200, 2302, 2349, 2832, 1012, 2002, 2582, 5275, 2008, 11322, 3512, 2436, 3062, 2104, 1996, 6210, 1997, 1000, 7044, 1000, 2004, 2109, 1999, 1996, 15276, 7450, 1998, 2001, 5123, 2011, 2349, 2832, 1012, 102, 101, 102, 101, 1027, 1027, 4281, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2381, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 6068, 1010, 1996, 5612, 2236, 3320, 11955, 1037, 2375, 2029, 2580, 1037, 2604, 1997, 2602, 12396, 1010, 2805, 2011, 1996, 2236, 3320, 1010, 2040, 2020, 3625, 2005, 10549, 2602, 12396, 1999, 2035, 1997, 5612, 1005, 1055, 5721, 1012, 1996, 2604, 2001, 26480, 2000, 11628, 2602, 5651, 1998, 8292, 28228, 12031, 1996, 3463, 1012, 1996, 2373, 2000, 5630, 1996, 9560, 1997, 11621, 3864, 2815, 2007, 1996, 2236, 3320, 2104, 2930, 16710, 1997, 1996, 2110, 4552, 1012, 1996, 2375, 2001, 4141, 3615, 2000, 2004, 1996, 2175, 15878, 2884, 2602, 2375, 1010, 1037, 4431, 2000, 2049, 10460, 1010, 2343, 4013, 13657, 2890, 1997, 1996, 5612, 4001, 2520 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.007449491395337708, 0.025952303805714075, 0.05410581040129222, 0.013993551436730383, 0.0695652881590447, 0.00045715580673419214, 0.009279109532125004, 0.08067797767140605, 0.1517606982382074, 0.0017571990676460462, 0.026137592662048945, 0.0007362046817504501, 0.0000147768939521374, 0.0035730294550686036, 0.008301063159801704, 9.276545414488676e-9, 0.06636391062578233, 0.0005615082370601169, 0.00005022541526294255, 0.000043847540580790725, 0.021148356601591634, 0.0006203850008013404, 0.000030012337391474354, 0.06873970821803141, 2.2841307950036583e-7, 0.000030005048210208122, 0.06561613505060694, 0.048132100579618545, 0.000010936406473002555, 0.0029108177016765277, 0.018859500043859185, 9.276545414488676e-9, 0.007435492164758141, 0.0001239570472649593, 0.0004628184717226159, 0.00007420892278446679, 0.026686156323348715, 0.013274449680620823, 0.0030208225048865625, 0.0002857585803708357, 0.03965457315882865, 0.0002980896377964309, 0.00003461517303713234, 0.00007434715910560372, 0.02089629053384239, 0.006062882662004491, 0.06914754846513127, 0.0002513331873811676, 0.011853573110008193, 0.05348413507713119 ]
[ 2175, 15878, 2884, 1012, 2138, 1996, 2236, 3320, 2001, 4600, 3537, 1998, 2175, 15878, 2884, 2001, 2641, 1037, 3497, 3537, 2004, 8197, 17884, 2005, 1996, 11141, 5605, 1999, 1996, 6166, 2602, 1010, 1996, 2375, 2001, 4457, 2004, 1038, 20051, 15706, 14254, 1998, 2969, 1030, 1011, 1030, 3529, 1012, 10643, 4114, 1037, 3231, 2553, 2114, 1996, 2375, 1010, 2021, 1996, 5612, 2457, 1997, 9023, 16813, 2009, 2004, 6543, 1012, 102, 101, 2175, 15878, 2884, 7119, 1996, 3537, 6488, 2005, 3099, 2012, 1037, 29308, 2053, 27932, 4680, 1012, 2750, 1996, 9930, 1997, 2048, 3576, 2283, 5347, 1516, 2164, 2008, 1997, 2280, 3099, 2198, 1061, 1012, 2829, 2011, 1037, 4487, 18719, 16454, 10233, 1997, 8037, 1516, 1996, 2679, 8857, 2006, 2175, 15878, 2884, 1998, 2010, 3951, 7116, 1010, 4905, 2236, 2520, 1055, 1012, 4202, 1012, 1996, 3463, 1997, 1996, 2602, 2020, 2205, 2485, 2000, 2655, 2005, 2195, 2420, 1012, 2077, 1996, 2880, 3463, 2071, 2022, 2623, 1010, 5571, 1997, 6830, 28868, 2211, 1012, 1999, 5912, 2221, 1010, 1015, 1030, 1010, 1030, 3263, 17069, 3205, 1996, 3951, 4018, 2004, 1000, 1059, 1012, 1052, 1012, 4202, 1000, 2612, 1997, 1000, 1059, 1012, 1055, 1012, 4202, 1000, 1025, 8037, 3555, 2122, 4494, 2323, 2022, 19528, 4383, 1012, 1999, 11994, 1998, 3779, 5721, 1010, 7206, 10865, 1997, 1000, 4857, 8153, 17069, 1000, 2008, 3039, 1996, 14303, 1005, 1055, 9804, 2000, 2022, 2464, 2083, 2068, 1012, 1999, 1996, 2103, 1997, 11577, 1010, 8037, 5338, 2008, 1996, 8396, 2018, 28028, 7206, 2045, 1998, 2008, 1996, 2972, 2103, 1005, 1055, 3789, 2323, 2022, 19528, 4383, 1012, 102, 101, 2043, 1996, 2880, 19552, 2001, 2623, 1010, 4202, 2018, 2180, 2011, 1037, 3789, 1997, 19984, 1030, 1010, 1030, 6390, 2549, 2000, 19871, 1030, 1010, 1030, 27533, 1012, 2295, 1996, 2604, 1997, 3864, 2001, 2245, 2000, 2022, 4758, 2011, 2175, 15878, 2884, 6956, 1010, 2009, 5444, 1016, 1516, 1015, 2000, 8292, 28228, 12031, 1996, 2623, 3789, 19552, 1012, 1996, 2604, 1005, 1055, 3484, 5448, 3555, 2008, 2027, 2106, 2025, 2031, 2151, 8268, 2373, 1998, 2020, 2947, 4039, 2000, 2963, 6947, 2030, 8415, 9390, 1012, 4202, 2001, 11070, 2006, 2285, 2260, 1010, 6166, 1012, 2175, 15878, 2884, 2623, 2010, 3247, 2000, 5049, 1996, 2604, 1005, 1055, 3247, 2000, 1996, 2236, 3320, 1012, 1996, 3320, 2805, 1037, 2837, 2000, 8556, 1996, 9989, 4838, 1999, 1996, 7860, 1012, 1996, 2372, 1997, 1996, 2837, 2020, 4567, 2012, 6721, 1010, 2295, 1996, 5059, 2001, 3497, 25216, 1516, 2069, 2028, 3951, 2587, 2702, 8037, 2006, 1996, 2837, 1012, 1006, 3382, 23826, 2008, 1996, 2837, 2323, 2031, 4838, 2176, 2030, 2274, 10643, 1012, 1007, 2426, 1996, 3513, 1996, 2236, 3320, 4233, 2005, 1996, 5049, 2837, 2020, 1024, 2008, 1996, 2837, 3189, 2012, 1996, 5165, 1997, 1996, 2236, 3320, 1010, 2008, 5981, 2022, 3132, 2320, 1996, 9556, 2020, 3591, 1010, 1998, 2008, 1996, 3189, 2022, 5444, 2006, 1999, 1037, 4101, 5219, 1997, 1996, 3320, 1012, 1996, 3513, 2582, 3024, 2008, 1996, 5882, 1997, 1996, 2160, 3653, 7363, 2058, 1996, 4101, 5219, 2612, 1997, 1996, 3812, 3099, 1010, 2004, 2001, 16120, 1012, 1996, 3951, 7162, 4061, 1996, 8910, 1010, 2021, 1996, 3537, 3484, 2979 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.042737448519823175, 0.047698247863994174, 0.029378063994619827, 0.022404298088252027, 0.07817277268586587, 0.006599301246779177, 0.0016080955550275978, 0.004911882571630541, 0.000030136177332012167, 0.00010625215208665966, 0.000030330946204415857, 0.007960614233348387, 0.05300676315003427, 0.029416744652479572, 0.0013074421616101567, 0.000029764759989938452, 0.034658530612511146, 0.003675817049254947, 0.013949904793176555, 0.000009010180176469849, 0.008262435680114645, 0.0009891871724838164, 0.1150457699415239, 0.000035676927769588926, 9.95835912133525e-9, 4.831444536796261e-7, 0.0027823215509541087, 0.06993963969372467, 0.05518495067732276, 0.028275923146415617, 0.03314088350249365, 0.000018192506411941306, 0.0008421581269361932, 0.00019464146870382663, 0.013186874078170943, 0.009652450327671631, 0.07872051423476908, 0.007923172201710274, 0.014222130289446319, 0.00006567758244845062, 0.00032455978676787246, 0.000010130129269034807, 0.0031160646097387703, 0.007067947690591215, 0.009523884836026503, 0.011059248304948819, 0.0029054319869626136, 0.03725038403099786, 0.09546773223076116, 0.01710010278785487 ]
[ 2068, 2750, 1996, 4559, 1012, 102, 101, 10643, 2105, 1996, 2110, 3517, 1996, 2837, 2000, 16755, 27782, 1997, 2438, 17069, 2000, 2191, 2175, 15878, 2884, 3099, 1012, 4273, 2273, 2013, 4600, 3951, 2789, 5612, 3561, 1996, 3007, 1012, 2006, 1996, 2851, 1997, 2254, 2382, 1010, 5141, 1010, 2004, 2175, 15878, 2884, 1998, 2048, 2814, 2939, 2646, 1996, 9424, 2311, 1010, 7171, 2020, 5045, 1010, 1998, 2175, 15878, 2884, 3062, 5303, 1012, 2044, 2108, 6380, 4211, 2000, 1996, 2110, 9424, 2011, 4273, 2273, 1010, 1996, 5049, 2837, 2777, 1999, 3581, 13028, 1005, 1055, 2103, 2534, 1998, 1010, 2011, 1037, 9384, 2283, 1030, 1011, 1030, 2240, 3789, 1010, 4233, 1037, 3484, 3189, 2008, 3555, 2175, 15878, 2884, 1998, 10272, 3511, 2018, 2363, 1996, 2087, 11476, 4494, 1998, 2323, 2022, 5361, 1999, 2037, 7972, 4822, 1012, 2043, 3537, 22680, 4692, 2000, 9530, 8159, 2063, 2000, 14300, 1996, 2837, 1005, 1055, 3189, 1010, 2027, 2179, 1996, 4303, 2000, 1996, 2110, 9424, 1998, 2060, 2270, 5269, 1999, 3581, 13028, 8534, 2011, 4273, 4480, 1012, 2006, 2254, 2861, 1010, 5141, 1010, 2027, 19596, 10082, 1999, 1037, 3581, 13028, 3309, 1010, 2007, 2053, 10643, 2556, 1010, 1998, 5444, 2000, 8292, 28228, 12031, 1996, 9556, 1997, 1996, 5049, 2837, 1010, 19528, 5844, 2438, 4494, 2000, 2191, 2175, 15878, 2884, 3099, 1012, 2145, 4688, 2006, 2010, 5305, 2793, 1010, 2175, 15878, 2884, 2165, 1996, 11292, 1997, 2436, 1012, 102, 101, 2175, 15878, 2884, 2351, 1997, 2010, 8710, 2006, 2337, 1017, 1010, 5141, 1012, 4177, 2013, 2119, 4243, 7462, 2019, 3820, 13557, 4202, 1998, 2010, 3812, 3099, 1010, 2198, 5832, 1010, 2052, 3357, 2091, 2013, 2037, 7972, 4822, 1010, 4352, 2175, 15878, 2884, 1005, 1055, 3812, 3099, 1010, 1046, 1012, 1039, 1012, 1059, 1012, 10272, 3511, 1010, 2000, 7868, 1996, 11141, 5605, 1025, 1999, 3863, 1010, 4202, 1998, 5832, 2052, 4374, 15403, 2013, 11537, 1999, 2151, 4506, 2027, 2089, 2031, 2579, 2007, 7634, 2000, 2175, 15878, 2884, 1005, 1055, 10102, 1012, 1996, 8396, 2052, 10632, 2013, 3581, 13028, 1010, 1998, 1996, 2175, 15878, 2884, 2602, 2375, 2052, 2022, 21492, 1998, 2999, 2007, 1037, 4189, 2121, 2602, 2375, 1012, 2750, 2010, 6956, 1005, 20616, 1010, 4202, 4188, 2000, 3696, 1996, 3820, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2896, 2457, 6567, 1027, 1027, 1027, 102, 101, 102, 101, 2004, 7776, 2005, 1037, 9379, 5813, 1997, 1996, 3864, 2005, 3099, 1998, 3812, 3099, 2020, 7552, 1010, 1996, 3951, 5347, 2005, 1996, 2110, 1005, 1055, 3576, 4822, 6406, 4848, 1999, 2976, 2457, 1999, 7797, 1010, 4058, 1010, 2000, 4652, 2037, 8208, 2013, 2436, 1012, 1996, 2553, 2071, 2031, 2042, 6406, 1999, 1996, 2976, 2457, 2012, 11577, 1010, 5612, 1010, 2021, 3648, 4787, 6473, 2356, 2000, 2022, 28512, 2013, 4748, 9103, 14808, 5844, 1996, 2553, 1012, 1996, 3951, 3738, 1010, 3421, 2011, 4654, 1030, 1011, 1030, 3099, 2520, 1051, 1005, 17199, 8981, 1998, 2925, 3099, 11668, 1041, 1012, 17234, 2239, 2426, 2500, 1010, 5275, 2008, 1996, 2175, 15878, 2884, 2602, 2375, 17676, 4480, 1997, 2037, 2157, 2000, 3789, 1012, 1996, 2157, 2000, 3789, 1010, 2027, 3555, 1010, 2001, 16112, 1999, 1996, 15276, 7450, 1005, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.014138157774919209, 0.05498444784135352, 0.03484592100815741, 0.00012936127192331092, 0.012569585770410641, 0.060862810088256634, 0.044641079184481944, 0.026788842749621622, 0.010151037915464026, 0.0007505937544305348, 0.01051028267707542, 0.027067573445481996, 0.0000747276761541104, 0.027272586205539122, 0.10205350810033458, 0.10444711181694354, 0.011786710593210525, 0.00043332993940923615, 0.00014424893432275266, 0.0003650817291361537, 0.011097593515912009, 0.00026689975818409403, 0.0003249446555560661, 0.00011648804674544217, 0.026967338664270438, 0.0021649304955537888, 0.018066939569720435, 0.00003063014831391766, 0.002200263255920081, 0.059215457222021366, 0.005042092582909615, 0.00003618443747830816, 0.0005832447815045164, 0.000009143496196247241, 0.0002532960920545906, 9.919970636888018e-9, 0.029162321532028117, 0.09684290178316252, 0.01098210181309475, 0.06303936270417676, 0.0312617256816015, 0.0004107660589979248, 0.022198827008315523, 0.004346767526185145, 0.000021499636890783624, 0.0002574451651496615, 0.0002875180479394769, 9.919970636888018e-9, 0.025447622382975474, 0.04534867562057388 ]
[ 11302, 1997, 1000, 7044, 1000, 1010, 1998, 2071, 2025, 2022, 2579, 2013, 2151, 6926, 2302, 2349, 2832, 1012, 102, 101, 1996, 2553, 2001, 5275, 2077, 3648, 1006, 1998, 2101, 2343, 1007, 2520, 4922, 19911, 1010, 2040, 2218, 2008, 1996, 2976, 2457, 2071, 2025, 4652, 1996, 8208, 1997, 3738, 2011, 22928, 1012, 2002, 9449, 1996, 10643, 2000, 6148, 19519, 22035, 10943, 2080, 1999, 1996, 2110, 5434, 1012, 19911, 2582, 26084, 2008, 1010, 2323, 2151, 2976, 3160, 2022, 2992, 1999, 2107, 8931, 1010, 1996, 3738, 2071, 6148, 19519, 1999, 1037, 2976, 2457, 2006, 5574, 1012, 1996, 10643, 2020, 6628, 2011, 19911, 1005, 1055, 3247, 1010, 2029, 5985, 1996, 2126, 2005, 2019, 5574, 2035, 1996, 2126, 2000, 1996, 2976, 4259, 2457, 2065, 1037, 2976, 3160, 2071, 2022, 2992, 1012, 102, 101, 1996, 3951, 3576, 2436, 17794, 2513, 2000, 1996, 2110, 5434, 2007, 2037, 2553, 1012, 5951, 2221, 4984, 2457, 3425, 2508, 1041, 1012, 2064, 18886, 3363, 5451, 2114, 2068, 1010, 1998, 1996, 5612, 2457, 1997, 9023, 1010, 2059, 1996, 2110, 1005, 1055, 2457, 1997, 2197, 7001, 1010, 8760, 2064, 18886, 3363, 1005, 1055, 6996, 2011, 1037, 3789, 1997, 1018, 1516, 1017, 1012, 3951, 4905, 2236, 16271, 1046, 1012, 13208, 2506, 2007, 3423, 7860, 1998, 2633, 2001, 3039, 2000, 3710, 2041, 2010, 2744, 1012, 2295, 2064, 18886, 3363, 1005, 1055, 3247, 2001, 2241, 2006, 1996, 19528, 3370, 1997, 11577, 1005, 1055, 3789, 1998, 1996, 4494, 1997, 2176, 5721, 1999, 2789, 5612, 1010, 3904, 1997, 1996, 22680, 2013, 2216, 2752, 2020, 4895, 17310, 3064, 1012, 102, 101, 19911, 1005, 1055, 6996, 2018, 2053, 7682, 2006, 1996, 3572, 1997, 3099, 4202, 1998, 3812, 3099, 5832, 3272, 2000, 6297, 2041, 1037, 2965, 2005, 2068, 2000, 2202, 2037, 3572, 2000, 1996, 2976, 5434, 1010, 2065, 4072, 1012, 2006, 1996, 2168, 2154, 2008, 19911, 1005, 1055, 6996, 2001, 3843, 1010, 4202, 6406, 4848, 1999, 7625, 2221, 4984, 2457, 2114, 10272, 3511, 1998, 20690, 2236, 2198, 7987, 11012, 2378, 9438, 3317, 2386, 2000, 4652, 2068, 2013, 28428, 2151, 3691, 2349, 1996, 4822, 2027, 3555, 1012, 11499, 1997, 4202, 1005, 1055, 4848, 1010, 10272, 3511, 6406, 4848, 2114, 4202, 2005, 6664, 1997, 1996, 9424, 1998, 3237, 2311, 1999, 5951, 2221, 4984, 2457, 1516, 1037, 2457, 3373, 2000, 2022, 11119, 2000, 1996, 3537, 3426, 1012, 5832, 2036, 6406, 4848, 2114, 10272, 3511, 1998, 2110, 5205, 1048, 1012, 1044, 1012, 5708, 2000, 4652, 2068, 2013, 28428, 2151, 3691, 1999, 1996, 2110, 4001, 1010, 2073, 1996, 3812, 3099, 2001, 1996, 18131, 2961, 1012, 102, 101, 10643, 3555, 2008, 4202, 1005, 1055, 4848, 1010, 2011, 11870, 1997, 2383, 2042, 6406, 2048, 2847, 2077, 10272, 3511, 1005, 1055, 1010, 2435, 1996, 2553, 23359, 1999, 11577, 1012, 2011, 8203, 9619, 1010, 1996, 4243, 10495, 1996, 11072, 1010, 2029, 2020, 2657, 2077, 3648, 7861, 11368, 2492, 1999, 7625, 2221, 4984, 2457, 1012, 2119, 3903, 2354, 2008, 2492, 1005, 1055, 3247, 1010, 3649, 2009, 2453, 2022, 1010, 2052, 2022, 12068, 1010, 2021, 2119, 3530, 2000, 11113, 5178, 2011, 1996, 9560, 1997, 1996, 2345, 2457, 1005, 1055, 3247, 1012, 1996, 2553, 2001, 2657, 2006, 2233, 1015, 1998, 1016, 1010, 5141, 1012, 4202 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.025236621959025173, 0.0814922956022697, 0.0045027050805506365, 0.0991940665977198, 0.0006081147880841229, 0.08603725008812847, 0.009515542589768977, 0.00022212681355190334, 0.09504482505487585, 0.00000944659716883403, 0.001346333105921975, 0.003373336490812284, 0.012770670667944928, 0.034950124019564315, 0.00021239178071289237, 0.06516491857122142, 0.024253077745296954, 0.035802170848442526, 0.019379856027722953, 0.09374476602682717, 0.0515048744102181, 0.006555473536786885, 0.004956434394631245, 0.022529824294592524, 0.005789983665555979, 0.06639651041102917, 0.008377313834947758, 0.0010259687291946395, 0.003791119742117841, 0.0010591519518254368, 0.034295508385977086, 0.0018401149169816763, 0.031152676716186264, 0.001162170030074399, 0.0061489476556290225, 1.0108709057202274e-8, 0.015671737615683624, 0.0006496111265787632, 0.005892397296499238, 0.001044705921202267, 0.004181997397011786, 0.0033913757521573207, 0.005817619520400403, 0.018738234260395566, 1.0108709057202401e-8, 0.0013726051504673836, 0.000050403554415171004, 0.00022658646389204262, 0.0014609792301133596, 0.002055013362405964 ]
[ 1005, 1055, 4905, 1005, 1055, 27481, 2098, 2008, 1996, 2236, 3320, 2018, 6051, 1999, 1037, 17982, 1030, 1011, 1030, 8268, 5450, 1010, 20084, 1996, 6958, 1997, 8745, 1997, 4204, 1012, 2582, 1010, 2138, 1996, 5049, 2837, 1005, 1055, 3189, 2106, 2025, 20648, 2129, 2116, 4494, 2020, 19528, 1010, 10643, 5275, 2008, 2035, 5018, 1030, 1010, 1030, 2199, 4494, 3459, 1999, 1996, 7259, 5721, 2018, 2042, 19528, 4383, 2011, 1996, 2236, 3320, 1005, 1055, 3789, 1010, 1998, 8821, 1010, 1996, 7206, 1997, 2216, 5721, 2018, 2042, 17800, 4487, 5054, 27843, 12680, 5084, 1012, 1996, 2087, 1996, 3320, 2323, 2031, 2042, 2583, 2000, 2079, 1010, 2027, 3555, 1010, 2001, 2000, 19528, 3686, 1996, 2972, 2602, 1012, 2633, 1010, 2027, 27481, 2098, 2008, 1996, 6884, 6206, 3450, 1997, 1996, 2236, 3320, 2018, 17676, 4202, 1998, 5832, 1997, 2037, 3200, 2916, 1516, 1996, 1000, 3200, 1000, 1999, 3160, 2108, 1996, 4822, 2027, 3555, 1516, 1998, 2037, 7044, 2000, 2907, 2019, 2700, 2436, 1012, 16214, 2005, 10272, 3511, 27481, 2098, 2008, 4884, 4506, 7145, 2018, 2025, 2042, 3395, 2000, 8268, 3319, 1010, 1998, 5262, 2020, 2025, 3395, 2000, 2107, 2104, 2151, 9347, 1997, 1996, 2110, 4552, 1012, 102, 101, 2006, 2233, 2184, 1010, 5141, 1010, 2492, 11536, 2007, 1996, 8037, 1012, 1999, 2010, 6996, 1010, 2002, 26084, 2008, 4884, 4506, 1000, 2442, 2022, 2579, 2004, 7619, 1000, 1998, 2008, 1996, 2457, 2106, 2025, 2031, 1996, 3691, 2000, 25022, 11890, 2819, 15338, 1996, 4884, 2501, 1012, 10643, 12068, 1996, 3247, 2000, 1996, 5612, 2457, 1997, 9023, 1012, 1999, 2037, 5574, 1010, 2027, 2020, 6176, 2000, 5333, 1037, 2976, 3277, 1012, 2065, 3648, 2492, 1005, 1055, 6996, 2001, 6149, 1010, 1998, 1996, 2604, 1997, 3864, 1010, 1996, 2236, 3320, 1010, 2030, 2119, 2018, 1996, 2157, 2104, 1996, 2110, 4552, 2000, 2019, 7619, 3319, 1997, 2035, 3864, 1010, 2059, 1996, 3320, 2018, 2042, 2445, 7619, 15275, 2373, 2058, 3864, 1010, 1999, 4736, 2007, 1996, 2976, 4552, 1012, 102, 101, 2006, 2258, 1020, 1010, 5141, 1010, 1996, 2457, 1997, 9023, 16813, 3648, 2492, 1005, 1055, 3247, 2011, 1037, 3789, 1997, 1020, 1516, 1015, 1012, 1996, 3484, 5448, 2218, 2008, 2019, 2700, 2436, 2003, 2025, 3200, 1998, 2947, 2025, 3395, 2000, 1996, 28548, 12361, 1999, 1996, 15276, 7450, 1012, 2004, 1037, 4325, 1997, 1996, 5612, 4552, 1010, 1996, 2457, 2218, 1010, 2151, 11322, 3512, 2436, 2003, 15186, 1998, 2218, 2069, 3395, 2000, 1996, 8910, 1997, 2008, 4552, 1012, 2023, 2404, 1996, 3043, 3458, 1996, 3362, 1997, 2151, 8268, 3319, 1010, 2429, 2000, 1996, 2457, 1012, 102, 101, 1996, 2176, 3537, 6794, 9530, 10841, 20529, 2006, 1996, 3484, 5448, 1012, 2048, 3951, 6794, 1010, 1999, 1037, 3584, 5448, 1010, 9530, 10841, 20529, 2007, 1996, 3484, 5448, 1010, 2021, 4161, 2008, 4202, 1998, 5832, 2018, 2042, 2589, 2019, 20868, 2890, 28689, 3468, 21321, 1012, 1996, 10459, 24116, 1010, 8786, 2011, 1996, 2457, 1005, 1055, 2353, 3951, 1010, 2218, 2008, 1996, 5049, 2604, 2018, 6051, 2648, 2049, 3423, 3691, 1012, 10643, 2357, 2000, 1996, 4259, 2457, 1997, 1996, 2142, 2163, 2004, 2037, 2345, 5724, 1012, 102, 101, 102, 101, 1027, 1027, 4259, 2457, 1027, 1027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0.000005708624664111218, 0.0008028236026421067, 0.000002063794929917223, 0.0005744220726142588, 0.08737400209346713, 0.04718841485254608, 0.0005064091688128492, 0.0035650223472551883, 0.000014942592650534427, 0.0004594954843863422, 0.12019721981765479, 0.009615746627265205, 0.0012478651987037261, 0.002543832102252312, 0.0020939535808337513, 0.0002556632439452803, 0.0013749890876248064, 0.0048205350311617485, 0.00011355124781868213, 1.006549111796011e-8, 0.00004316039067824422, 0.002522779890394641, 0.0008469141110447121, 0.05442475046325821, 0.038158872476324955, 1.006549111796011e-8, 0.023557208097968754, 0.0372007674319171, 0.1243231220731175, 0.019341157303171288, 0.02750313594319553, 0.020413285268721555, 0.13745904579121548, 0.000016022403978716036, 0.00013999907184139852, 1.490326666678855e-8, 1.006549111796011e-8, 0.003433729693171296, 0.00006398594830623496, 0.00001794745282263967, 0.0003853522931039046, 0.0060725135630848885, 1.006549111796011e-8, 0.09105583218574782, 0.027521561661369636, 0.03331662358278162, 0.03669308189715703, 0.0000486306442068168, 0.032633525381024826, 0.000050279243935107754 ]
[ 102, 101, 102, 101, 11577, 4905, 16254, 5503, 2441, 1996, 10643, 1005, 2553, 2077, 1996, 4259, 2457, 2006, 2258, 1015, 1010, 5141, 1012, 2002, 5224, 2008, 1010, 2044, 4202, 1005, 1055, 2602, 2018, 2042, 7378, 2011, 1996, 2604, 1997, 3864, 1010, 2002, 2001, 10142, 1996, 3099, 1997, 5612, 1010, 1998, 1996, 3535, 2011, 1996, 6372, 2000, 15068, 3367, 2032, 2013, 2436, 18779, 2000, 2019, 15275, 1998, 4078, 11008, 2594, 2224, 1997, 2373, 1010, 2025, 1037, 2349, 2832, 1010, 2004, 1996, 2976, 4552, 3223, 1012, 1999, 12786, 1996, 10821, 2588, 2029, 1996, 15322, 1997, 17069, 2001, 15123, 1516, 8419, 1010, 1996, 28973, 1997, 7206, 1999, 7625, 2221, 2011, 1996, 2110, 8396, 1998, 1996, 2224, 1997, 1000, 4857, 17069, 1000, 1999, 5659, 5612, 5721, 1516, 5503, 5224, 2008, 2130, 2065, 1996, 9989, 2020, 2995, 1010, 2119, 2020, 1996, 6346, 1997, 1996, 2110, 1010, 2025, 4202, 1998, 5832, 1010, 1998, 2020, 2025, 7182, 5286, 2588, 2029, 2000, 9772, 2068, 2037, 2157, 2000, 1996, 4822, 2027, 3555, 1012, 102, 101, 5503, 2001, 2628, 2011, 5623, 1050, 1012, 10691, 1010, 9517, 2005, 10272, 3511, 1012, 10691, 28960, 2008, 1996, 2236, 3320, 2018, 6051, 2306, 2049, 4372, 17897, 9250, 4204, 2104, 1996, 2110, 4552, 1999, 10561, 1996, 9560, 1997, 1996, 11621, 2602, 1012, 2002, 3555, 2008, 1996, 3247, 1997, 1996, 2110, 2457, 1997, 9023, 2081, 2009, 3154, 2008, 4202, 2018, 2025, 2042, 10142, 2700, 3099, 1010, 1998, 3568, 2196, 8679, 1996, 3200, 2002, 2001, 2085, 6815, 2018, 2042, 2579, 2013, 2032, 2302, 2349, 2832, 1012, 10691, 2582, 13647, 2008, 2023, 21866, 1997, 2151, 2976, 3980, 2007, 7634, 2000, 1996, 2553, 1010, 1998, 2008, 1996, 4259, 2457, 2071, 4366, 2053, 7360, 1012, 1996, 3247, 1997, 1996, 2110, 2457, 1997, 9023, 2323, 2022, 3039, 2000, 3233, 1010, 2002, 5531, 1012, 4572, 11338, 28940, 12384, 2582, 5275, 2006, 6852, 1997, 10272, 3511, 2008, 1010, 2130, 2065, 4202, 1005, 1055, 4366, 2000, 1996, 11141, 5605, 2020, 11476, 1010, 1996, 4812, 1998, 3247, 2011, 1996, 2236, 3320, 1005, 1055, 5049, 2837, 3421, 7182, 2349, 2832, 1012, 2002, 8969, 2008, 1996, 2175, 15878, 2884, 2602, 2375, 1005, 1055, 9347, 2008, 1996, 6372, 2022, 1996, 12098, 16313, 2121, 1997, 2151, 7259, 19100, 2602, 19541, 2210, 2065, 2012, 2035, 2013, 8910, 1999, 2004, 2116, 2004, 3174, 2060, 2163, 1012, 2065, 1996, 2175, 15878, 2884, 2602, 2375, 2001, 6543, 1010, 2004, 2009, 2018, 2077, 2042, 4161, 1010, 2059, 1996, 4259, 2457, 2018, 2053, 7360, 4953, 2129, 2009, 2018, 2042, 8564, 1012, 102, 101, 2043, 10691, 5531, 2010, 6685, 1010, 4654, 1030, 1011, 1030, 3099, 8981, 3764, 2006, 4202, 1005, 1055, 6852, 1012, 2044, 24964, 14621, 3436, 4202, 1005, 1055, 3423, 4366, 2000, 1996, 2436, 1997, 3099, 1010, 2002, 4660, 1996, 3160, 1997, 7360, 2011, 8951, 25563, 1058, 1012, 12164, 1010, 1037, 2714, 2553, 1999, 2029, 1996, 2457, 2018, 5071, 7360, 1012, 2002, 2582, 9339, 4614, 2040, 26084, 2008, 2019, 2700, 2436, 2001, 3200, 1010, 2478, 2023, 2000, 27481, 2008, 4202, 1005, 1055, 2916, 2104, 1996, 15276, 7450, 2018, 2042, 14424, 1010, 2947, 3228, 1996, 2457, 7360, 1012, 2036, 1010, 8981, 13647, 1010, 1996, 2602, 1997, 2070, 2372 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.01671407073225817, 0.0016698651526674032, 0.003715906423442735, 0.00001581207923037508, 0.0038554016856162925, 0.004864342498849518, 0.0005375712125437453, 0.02882131156650447, 0.0006538911062714909, 0.04216396524109889, 9.751160144279253e-9, 0.015866263256154426, 0.00026503596580011577, 0.0001244717759280374, 0.016962320391735453, 0.06537297068762038, 0.13533047783792104, 0.0026596356374209706, 0.004031561624657775, 0.01848866419503766, 0.02455741966929051, 0.18245735562886428, 0.004700981100831599, 0.0987136326565414, 0.000023320443780528422, 0.00005299508357305461, 0.0062709796111462875, 0.023663451682997497, 0.0003097245860929034, 0.008432191891345501, 0.008472015126329103, 0.026856041389896907, 0.021801793453568554, 9.751160144279253e-9, 0.044488929965212885, 0.00035956464989258337, 0.01583855120210347, 9.751160144282943e-9, 0.032047353896554526, 0.0013036946608375648, 0.005402432197680788, 0.020591043779578037, 0.05684071664765699, 0.0279076675041316, 0.0002771155576208497, 0.0030954496278778392, 0.00004364484338482278, 0.00365190759045203, 0.018744448286304727, 0.0009820089422137319 ]
[ 1997, 1996, 3320, 1005, 1055, 5049, 2837, 2052, 7632, 15465, 2006, 1996, 3247, 1997, 2008, 2200, 2837, 1012, 2012, 2560, 2028, 2266, 1997, 1996, 2837, 2001, 2124, 2000, 2031, 11897, 5596, 2006, 1996, 2602, 1005, 1055, 9560, 1012, 2122, 8866, 2323, 2031, 19701, 7810, 1996, 3247, 1997, 1996, 2837, 1998, 1996, 3320, 2006, 1996, 5286, 2008, 2009, 2018, 2187, 2070, 2372, 2004, 6794, 1997, 2037, 2219, 3572, 1012, 2633, 1010, 8981, 6563, 28868, 1999, 1996, 8931, 1997, 1996, 5049, 2837, 1010, 2164, 13990, 2051, 2445, 2005, 1996, 3319, 1997, 10896, 3024, 1999, 2517, 2433, 2011, 4202, 1998, 5832, 1005, 1055, 3423, 6630, 1012, 2206, 8981, 1005, 1055, 6685, 1010, 1996, 2457, 28290, 2098, 2127, 2089, 2403, 1010, 5141, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5448, 1997, 1996, 2457, 1027, 1027, 1027, 102, 101, 102, 101, 2708, 3425, 20154, 12548, 5359, 1996, 5448, 1997, 1996, 2457, 2006, 2089, 2538, 1010, 5141, 1012, 2023, 5448, 2218, 2008, 2045, 2020, 2053, 2976, 3314, 1999, 3160, 1999, 1996, 2553, 1010, 1998, 2008, 1996, 2457, 10858, 7360, 1012, 1996, 5448, 19768, 1996, 2110, 2457, 1997, 9023, 1005, 23617, 2008, 2019, 11322, 3512, 2436, 2001, 2025, 3200, 1012, 19867, 3897, 1010, 2317, 1010, 11895, 8180, 1010, 1998, 18082, 3511, 9530, 10841, 20529, 2007, 1996, 3484, 5448, 1012, 102, 101, 1999, 2010, 4976, 2338, 1010, 1996, 6543, 2375, 1997, 1996, 2142, 2163, 1010, 2225, 2884, 1059, 1012, 24919, 3264, 2008, 1996, 2457, 1005, 1055, 6996, 2008, 2019, 11322, 3512, 2436, 2001, 2025, 3200, 2001, 2012, 10238, 2007, 3025, 6567, 1999, 2029, 2009, 2018, 5071, 7360, 1999, 3572, 2090, 2048, 10584, 2005, 2019, 2436, 2000, 5646, 2065, 2349, 2832, 2001, 4379, 1012, 2011, 10262, 7360, 1999, 2122, 3572, 1010, 24919, 3555, 1010, 1996, 2457, 2018, 2445, 11322, 3512, 4822, 3061, 2004, 3200, 1012, 11914, 1010, 3425, 3312, 21749, 3843, 1037, 3584, 9530, 10841, 18807, 5448, 1999, 2029, 2002, 3090, 1024, 1000, 1045, 5993, 3929, 2007, 2216, 6567, 2029, 2024, 3615, 2000, 1031, 1999, 1996, 3484, 5448, 1033, 1010, 1998, 2029, 2907, 2008, 2004, 2090, 1996, 2110, 1998, 1996, 2436, 9111, 2045, 2003, 2053, 3206, 2157, 2593, 2000, 1996, 2744, 1997, 2436, 2030, 2000, 1996, 3815, 1997, 10300, 1010, 1998, 2008, 1996, 6372, 2089, 1010, 2065, 2025, 19868, 2011, 6543, 8910, 1010, 11113, 20872, 2232, 1996, 2436, 2030, 5547, 1996, 10300, 1012, 2021, 2043, 1996, 2436, 2003, 2025, 12491, 1010, 2043, 1996, 10300, 2003, 2025, 2904, 1010, 1998, 2043, 1010, 2104, 1996, 4552, 1997, 1996, 2110, 1010, 4445, 2064, 2022, 2011, 1996, 6372, 1010, 1998, 1996, 3160, 2003, 3432, 3251, 2028, 4618, 2022, 17676, 1997, 2008, 2436, 1998, 2049, 10300, 1010, 1998, 2119, 2445, 2000, 2178, 1010, 1037, 2367, 3160, 2003, 3591, 1010, 1998, 1999, 2107, 1037, 2553, 2000, 2907, 2008, 1996, 7703, 2038, 2053, 3200, 1999, 1996, 2436, 1010, 2007, 2049, 10860, 10300, 1010, 2515, 2025, 4012, 3549, 2094, 2993, 2000, 2026, 8689, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 24116, 1997, 3425, 18710, 1027, 1027, 1027, 102, 101, 102, 101, 3425, 2585, 1046, 1012, 18710, 3843, 1037, 24116, 5517, 2008, 2002, 3373, 2008, 2349, 2832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.04298647550846887, 0.013426492750876368, 0.046186123839487586, 0.0006279773029135304, 0.0017293656033317713, 0.02269084340545893, 0.00010858950019204176, 0.00003672762116102457, 0.01708699634648619, 0.00054307141627041, 0.011941554863552774, 0.000042985902149348914, 0.0002532574488629322, 0.06312065221551434, 0.06882859854401545, 0.000009069286040348536, 0.0005399229976719654, 0.000005706056243477778, 0.06886352197974582, 0.016269923791577507, 0.01603000400050971, 0.00018968101376608991, 0.048518035125892076, 0.00001084533961717689, 0.002412807577552751, 0.00008563190746056627, 0.002672254481187, 0.003019851872527904, 0.07495178479907219, 0.019759318451986894, 0.016322660692808105, 0.0034570918974693205, 0.0002426520570605707, 0.006891943922498624, 0.0001692522170850705, 0.00007119878064497884, 0.05799993623593369, 0.0058755029842685776, 0.11375642888945525, 0.00022088894857555836, 0.022655807777000395, 0.06989995095375989, 1.0579866619622704e-8, 0.0051350882363847905, 0.0890192332659621, 1.0579866619698924e-8, 0.01949684532200482, 0.00028771204898259324, 0.04072086267047727, 0.004828850990302142 ]
[ 2018, 2042, 5159, 1998, 2008, 1996, 3484, 5448, 2323, 2031, 19768, 1996, 2896, 2457, 6996, 2015, 2738, 2084, 28913, 1996, 2553, 1012, 1999, 2010, 5448, 1010, 18710, 3090, 1024, 1000, 1031, 1037, 1033, 1055, 1045, 3305, 1996, 2375, 1010, 2023, 2457, 2038, 7360, 2000, 3319, 1037, 8689, 1997, 1996, 3284, 2457, 1997, 1037, 2110, 15068, 16643, 3070, 2028, 2013, 2010, 2436, 1998, 3228, 2009, 2000, 2178, 1010, 1998, 1037, 2157, 2000, 1999, 15549, 2890, 3251, 2008, 8689, 2003, 2157, 2030, 3308, 1999, 4847, 2000, 2151, 2976, 3160, 2107, 2004, 2349, 2832, 1997, 2375, 1010, 1045, 2228, 1996, 25697, 1997, 7561, 2323, 2025, 2022, 7219, 1010, 2021, 2008, 1996, 8689, 1997, 1996, 2457, 1997, 9023, 1997, 5612, 2323, 2022, 19768, 1012, 1000, 3425, 2888, 1038, 1012, 2829, 9530, 10841, 20529, 2007, 18710, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 24116, 1997, 3425, 24276, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2069, 24116, 2234, 2013, 5982, 12722, 2937, 2198, 5832, 24276, 1012, 24276, 26084, 2008, 2025, 2069, 2106, 1996, 2457, 2031, 7360, 1010, 2009, 2323, 2031, 8760, 1996, 25697, 1997, 7561, 2006, 1996, 5286, 2008, 1996, 2236, 3320, 1005, 1055, 4506, 2018, 17676, 4202, 1998, 5832, 1997, 3200, 2302, 2349, 2832, 1010, 1999, 11371, 1997, 1996, 15276, 7450, 1012, 2183, 3458, 1996, 4366, 2008, 2019, 11322, 3512, 2436, 2003, 3200, 1010, 24276, 2626, 2008, 1996, 2157, 2000, 2907, 2436, 3062, 2306, 1996, 6210, 1997, 1000, 7044, 1000, 2004, 2109, 1999, 1996, 15276, 7450, 1012, 16114, 2075, 2023, 4366, 1010, 24276, 2626, 1024, 1000, 2054, 2062, 3495, 7336, 1996, 7044, 1997, 1996, 6926, 2084, 2000, 2022, 2583, 2000, 4607, 2588, 1996, 11889, 1997, 1996, 5704, 1997, 2019, 2436, 2000, 2029, 2002, 2038, 2042, 26410, 2135, 2700, 2011, 2010, 3507, 4480, 1029, 1000, 102, 101, 6168, 1996, 3484, 5448, 12590, 6439, 1996, 8931, 1997, 1996, 2236, 3320, 2004, 22537, 1006, 1996, 2457, 11158, 7360, 1007, 1998, 18710, 1998, 2829, 19768, 2068, 1010, 24276, 4654, 27108, 15070, 1996, 6372, 1999, 2010, 24116, 1012, 1000, 2559, 2046, 1996, 2501, 2077, 2149, 1010, 1045, 2424, 2107, 2895, 2579, 2011, 1996, 2303, 6815, 2000, 2022, 4114, 2004, 1996, 26410, 6372, 1997, 5612, 2004, 2001, 5860, 5596, 6590, 3468, 1999, 1996, 2197, 3014, 1998, 4895, 13966, 1997, 1996, 2489, 2111, 3183, 2009, 11268, 23656, 2000, 5050, 1012, 1012, 1012, 1012, 2216, 2040, 3605, 2008, 2303, 2790, 2000, 2031, 3844, 2037, 2159, 2114, 1996, 6947, 2005, 3571, 2008, 2009, 2052, 4012, 11880, 2068, 2000, 4847, 1996, 2759, 2097, 2004, 5228, 2012, 1996, 14592, 1012, 1000, 2002, 2036, 5228, 12537, 2012, 1996, 3484, 5448, 1024, 1000, 1031, 1056, 1033, 2002, 2058, 22299, 2075, 1997, 1996, 2270, 2097, 1010, 2004, 5228, 2012, 1996, 10428, 3482, 1010, 2302, 3350, 2030, 2114, 3350, 1010, 1999, 2344, 2000, 14570, 14254, 4515, 1010, 2003, 1037, 4126, 2114, 2489, 2231, 1010, 1998, 17210, 1996, 4654, 8586, 8156, 1997, 2035, 10205, 1997, 7044, 1012, 1012, 1012, 1012, 1045, 3685, 2903, 2008, 1996, 14814, 2003, 13346, 1999, 1996, 3739, 1997, 2107, 1037, 4126, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 4745, 8973, 1027, 1027, 102, 101, 102, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ]
[ 0.00003741600646598645, 0.000017329774522752316, 0.04767428089151839, 0.014601644101084372, 9.31342371700706e-9, 0.03559135097077259, 0.014353308453070224, 9.31342371700706e-9, 0.00045470067861175473, 4.931447293155454e-7, 0.037816672446384016, 9.31342371700706e-9, 9.31342371700706e-9, 0.022193978515020883, 0.03971829947173225, 0.00011635226361292859, 0.0021071906989143423, 0.0160628557414484, 0.016990658898332296, 0.020419278097006263, 0.05031269336723837, 0.10911018199563044, 0.11805986792938584, 0.000029502499962683426, 0.004847962969071764, 0.024976417747286747, 0.09810597709928578, 9.31342371700706e-9, 0.045080299889330724, 0.00000386849523027976, 0.00253933155397202, 0.0001441262879331439, 0.0019213869493537304, 0.010273550727512765, 0.021377906474312543, 9.31342371700706e-9, 0.058510576769456056, 0.09955285273913356, 0.0239727037235078, 0.00025225943194508225, 0.021449040634153097, 0.00003010525284911784, 0.002364221367959086, 0.0039315058865036865, 0.00004727175633240074, 0.00004619327769011879, 0.0002733297782286865, 0.004894670216001676, 0.002140680686301272, 0.027595648460662384 ]
[ 4202, 1058, 1012, 10272, 3511, 2511, 2004, 1037, 8268, 6958, 2008, 2270, 4822, 2024, 8210, 6736, 2030, 20278, 1010, 1998, 2025, 3200, 5123, 2011, 1996, 15276, 7450, 1012, 1996, 1057, 1012, 1055, 1012, 2457, 1997, 9023, 2005, 1996, 2117, 4984, 1999, 2384, 3090, 2008, 1996, 4259, 2457, 3525, 2018, 4233, 1037, 2062, 25145, 3921, 2000, 12151, 1000, 3200, 1000, 2306, 1996, 3574, 1997, 1996, 15276, 7450, 1010, 2021, 2008, 2009, 2003, 1996, 4259, 2457, 1005, 1055, 3653, 3217, 26792, 2894, 2000, 2058, 6820, 2571, 2028, 1997, 2049, 20056, 2015, 1012, 102, 101, 102, 101, 102, 101, 1027, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1027, 102, 101, 102, 101, 1000, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1000, 2003, 1996, 2117, 2792, 1997, 1996, 3174, 1030, 1011, 1030, 2353, 2161, 1997, 1996, 2137, 6579, 13130, 1996, 19047, 1012, 2009, 2761, 4836, 2006, 1996, 4419, 2897, 1999, 1996, 2142, 2163, 2006, 2255, 1016, 1010, 2249, 1012, 1996, 2792, 2001, 1996, 2034, 2000, 3444, 9133, 29069, 2004, 1996, 2430, 2839, 1998, 29069, 1005, 28945, 7604, 1996, 3152, 1996, 6350, 2252, 1998, 2954, 2252, 1012, 1999, 1996, 2792, 1010, 4054, 17451, 7860, 9133, 29069, 2000, 2202, 2058, 12075, 1005, 1055, 2495, 2044, 2028, 1997, 2010, 26418, 2015, 1012, 29069, 13385, 1998, 4627, 4252, 12075, 2055, 10117, 8573, 1998, 2158, 20942, 1012, 2044, 2002, 3138, 12075, 1998, 2010, 2814, 2006, 2019, 24641, 2492, 4440, 2029, 3463, 1999, 2028, 1997, 1996, 2336, 4911, 2019, 2849, 1010, 29069, 2003, 5045, 1012, 12075, 1998, 2010, 2814, 2059, 2202, 2058, 1996, 2082, 1999, 2019, 3947, 2000, 3828, 2010, 3105, 1012, 102, 101, 1996, 2792, 2001, 2517, 2011, 5199, 2146, 1010, 2856, 2011, 7112, 4670, 5405, 1010, 1998, 2838, 1996, 2376, 1997, 10117, 8573, 2083, 8756, 5633, 1012, 1996, 3098, 5537, 2001, 4113, 2856, 2011, 3010, 25132, 2198, 1047, 7277, 7011, 7393, 2072, 1010, 2040, 3130, 2580, 1996, 6579, 2547, 2265, 1010, 1996, 14916, 1004, 2358, 5714, 7685, 2265, 1012, 1999, 2049, 2434, 2137, 3743, 1010, 2009, 2001, 7021, 2011, 3155, 1020, 1030, 1012, 1030, 2539, 2454, 2111, 1012, 1996, 2265, 3452, 2363, 3893, 4391, 2005, 1996, 2466, 1012, 2569, 8489, 2001, 2445, 2000, 1996, 4113, 2856, 3098, 5537, 2011, 1047, 7277, 7011, 7393, 2072, 1012, 102, 101, 102, 101, 1027, 1027, 5436, 1027, 1027, 102, 101, 102, 101, 10493, 4732, 2082, 2003, 9936, 1037, 28536, 10470, 1998, 18675, 2035, 1996, 2945, 2007, 2336, 1999, 2037, 4280, 1010, 2164, 1996, 9304, 2155, 1012, 2296, 8875, 1999, 1996, 10470, 2003, 2853, 2000, 2019, 2394, 7794, 2315, 13257, 14161, 6799, 8743, 9148, 3367, 1010, 2040, 2003, 17534, 2058, 1996, 3042, 1012, 2043, 1996, 10470, 2003, 2058, 1010, 12075, 7657, 2008, 2002, 2001, 1996, 2613, 3680, 1012, 14161, 6799, 8743, 9148, 3367, 1998, 2008, 2045, 2003, 2053, 2769, 2005, 1996, 2082, 1012, 10206, 2058, 12075, 1005, 1055, 6745, 26418, 1998, 25227, 2011, 2010, 12366, 9133, 29069, 1010, 4054, 17451, 7860, 29069, 2000, 2202, 2058, 12075, 1005, 1055, 2495, 1012, 29069, 13385, 1998, 3202, 3957, 12075, 2010, 2219, 10800, 2933, 1010, 2029, 3952, 3774, 1997, 2280, 1057, 1012, 1055, 1012, 2343, 10117, 8573, 1012, 2002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.021671802459254694, 0.000029280945595577298, 0.00011988783308796223, 0.0060145760379777735, 0.0008810074761090956, 0.1187419264763196, 0.007047088197757385, 0.00031395378081416767, 0.06273480784823039, 0.02484204079187329, 0.01081915755338521, 0.0001669119086112059, 0.03687540689369369, 8.924105391900848e-9, 0.10055227639255078, 0.004191432339574584, 0.08469432788724739, 0.00019990204653990516, 0.016993323864154444, 0.02076252002825739, 0.01641521964368023, 0.00000545078502487357, 0.00017368760451704336, 0.0003501295004333821, 0.0002689425157964632, 0.007946243406265915, 0.00003285014501700038, 0.013651547297417277, 0.041782433268634615, 0.000020226210524813788, 0.03322536758477065, 0.06939516548925075, 0.06984416821365708, 0.0026455367019594367, 0.00014823575309365984, 0.005652034834581675, 0.000566057568425143, 0.0005262272533671614, 0.00003722454333565254, 0.0011752282389132522, 0.000888021306892144, 0.0000010984710842348438, 0.0002582672120627252, 0.0007425647991052156, 0.0000036995668333689023, 0.03976270947685587, 0.00008166389213349573, 0.042794984315689684, 0.046837214784033604, 0.08711615993150372 ]
[ 3084, 12075, 4699, 1999, 1996, 3395, 2011, 3331, 2055, 8573, 1005, 1055, 14779, 1998, 22614, 3267, 1012, 19846, 23689, 4580, 1010, 5912, 1010, 3958, 5092, 1010, 17710, 25831, 1998, 2079, 14277, 2232, 2574, 3693, 12075, 1999, 2010, 2495, 1012, 102, 101, 2007, 1996, 3112, 1997, 2010, 8220, 1010, 29069, 3488, 2000, 2202, 2068, 2035, 2006, 1037, 2492, 4440, 2000, 10493, 3224, 1010, 1999, 2029, 8573, 2187, 2028, 1997, 2010, 21177, 2015, 1012, 1996, 2492, 4440, 2515, 2025, 2175, 2092, 1010, 2174, 1010, 2004, 5912, 7807, 2010, 2849, 2043, 2002, 5363, 2000, 3362, 2005, 1996, 21177, 2015, 1012, 2144, 2009, 2001, 2019, 24641, 2492, 4440, 1010, 5912, 1005, 1055, 2388, 17016, 2000, 9790, 1996, 2082, 2005, 2966, 11727, 1010, 2029, 5260, 2000, 29069, 2893, 5045, 1012, 1999, 2344, 2000, 3828, 29069, 1005, 3105, 1010, 12075, 1998, 2010, 2814, 1010, 2040, 2085, 2175, 2011, 1996, 2171, 1000, 1996, 12865, 1997, 1996, 21177, 2015, 1000, 1010, 2202, 2058, 1996, 2082, 1999, 1037, 13446, 3663, 1998, 3233, 2039, 2005, 1996, 3836, 2040, 2081, 1037, 15902, 4254, 2000, 2068, 1012, 2027, 5843, 2035, 1997, 1996, 5089, 2041, 1997, 1996, 2082, 1998, 5157, 2008, 29069, 2131, 18671, 1012, 1037, 25414, 2136, 20776, 2000, 4040, 1996, 2082, 1010, 2077, 29069, 7365, 2039, 2000, 8054, 12075, 2000, 2644, 1012, 15798, 1010, 2708, 24405, 22850, 9554, 9010, 2010, 3282, 1010, 6181, 1030, 1011, 1030, 6178, 4691, 1996, 2082, 4387, 2110, 4012, 13876, 26611, 21087, 1010, 2040, 6920, 10217, 2000, 19222, 12259, 29069, 2138, 2027, 2064, 8980, 1996, 2769, 2439, 1999, 1996, 3025, 9870, 2007, 1037, 2047, 9870, 2114, 1996, 2610, 2533, 1012, 102, 101, 102, 101, 1027, 1027, 2537, 1027, 1027, 102, 101, 102, 101, 1000, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1000, 2001, 2517, 2011, 5199, 2146, 1998, 2856, 2011, 7112, 4670, 5405, 1012, 1996, 2792, 2838, 2280, 2137, 2343, 10117, 8573, 2007, 1996, 2224, 1997, 22796, 5746, 5633, 1012, 1996, 2224, 1997, 8573, 1005, 1055, 2376, 2001, 2034, 2623, 2012, 1996, 2624, 5277, 5021, 1030, 1011, 1030, 9530, 2248, 1999, 2624, 5277, 1010, 2662, 1010, 2006, 2251, 2603, 1010, 2249, 1012, 2265, 23195, 2632, 3744, 3936, 2000, 1996, 2811, 2008, 1000, 2057, 1031, 1996, 3095, 1033, 2031, 5025, 5746, 1997, 8573, 1006, 2579, 2013, 1037, 4613, 12800, 4271, 1007, 1999, 1996, 2265, 1012, 1045, 2245, 1010, 1005, 2633, 999, 2057, 2064, 2404, 1037, 2343, 1999, 1996, 2265, 1012, 1005, 1998, 1037, 2204, 2028, 2205, 1012, 2057, 1005, 2128, 2183, 2000, 2507, 2032, 1037, 2210, 4923, 2012, 1996, 2203, 1012, 1000, 102, 101, 2130, 2295, 9133, 29069, 2001, 2034, 3107, 1999, 1996, 2161, 2176, 2792, 1000, 1059, 3270, 23177, 2154, 1000, 1010, 1996, 2839, 2018, 2196, 2042, 1037, 2430, 2112, 2000, 2019, 2792, 1012, 2023, 2792, 6017, 1996, 2034, 2051, 1999, 2029, 1996, 2972, 2792, 4076, 29069, 1012, 1999, 29069, 1005, 21907, 2013, 2010, 4252, 2420, 1010, 1996, 3496, 3504, 2066, 1996, 3075, 1997, 2016, 10867, 2121, 2152, 2082, 2013, 1996, 2143, 1996, 6350, 2252, 2013, 3106, 1012, 1996, 2493, 2174, 6523, 2000, 1996, 2252, 2004, 2954, 2252, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3098, 5537, 1027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0.000041693793723585496, 0.0047821067066728005, 0.03491390676374601, 0.04242586528893508, 0.000027176545894105187, 0.01437407788176223, 0.000018094528846567246, 0.00003522613563964833, 0.02318094015141084, 0.04566085520027832, 0.09959919230895829, 0.05161760516105079, 0.004151233438551678, 0.07274272381474926, 0.06123898161320918, 0.0000022191495402325556, 0.005592885922983747, 0.01579656148957052, 0.00005361938104368437, 0.002270121389679134, 0.011115172203528638, 0.0000206899506733156, 9.357675141758118e-9, 0.0001531143359154716, 9.357675141758118e-9, 0.000014687936362767142, 0.00040995764357627264, 0.00008367485026663597, 0.021936225120213922, 0.00009251965924374763, 0.006092709119059602, 0.00003627992953465916, 0.11488981516502829, 0.0011784186716101755, 0.0075460080611381534, 0.0690189238981618, 0.00004111487066750074, 0.00003137123507406997, 0.00025955582102632073, 0.00487203249133073, 0.00001255309118909872, 0.04621681196479477, 0.0004552022400440872, 0.1262846757628585, 0.0009506264716277794, 0.06451377336989561, 0.01801901441315542, 0.00034544318704901367, 0.000617691468822475, 0.02626683168655522 ]
[ 1027, 1027, 102, 101, 102, 101, 3010, 25132, 1998, 8543, 1997, 1996, 14916, 1004, 2358, 5714, 7685, 2265, 1010, 2198, 1047, 7277, 7011, 7393, 2072, 1010, 4113, 6579, 1996, 6411, 18201, 2005, 1996, 2792, 1012, 2023, 2001, 1996, 2117, 2051, 1996, 19047, 2018, 4217, 1037, 4113, 2472, 2005, 2049, 3098, 5537, 1010, 2206, 1996, 3025, 2161, 1005, 1055, 2792, 1000, 2769, 8237, 2102, 1000, 1010, 2029, 2001, 4113, 2856, 2011, 2329, 17990, 3063, 1998, 2576, 7423, 5085, 2100, 1012, 3130, 1010, 1047, 7277, 7011, 7393, 2072, 2018, 6367, 1996, 19047, 3095, 1999, 1996, 2265, 1005, 1055, 2220, 2086, 2011, 3038, 2008, 1000, 1996, 2265, 4594, 2750, 1996, 3015, 1000, 1998, 6660, 4315, 18170, 7062, 7928, 1012, 1996, 6443, 5838, 2007, 1996, 2959, 2161, 2792, 1000, 1996, 2392, 1000, 1006, 2857, 1007, 1010, 1999, 2029, 1996, 14916, 1004, 2358, 5714, 7685, 2265, 2003, 4222, 2005, 1037, 9476, 2400, 1012, 2076, 1996, 2400, 5103, 1010, 1996, 12528, 2013, 1996, 4222, 2792, 2003, 6414, 1037, 2304, 3898, 2007, 1996, 3793, 1000, 12528, 2025, 2589, 2664, 1000, 1010, 1037, 7615, 2006, 1996, 4030, 2537, 2051, 1997, 1996, 2265, 1012, 1996, 2265, 2001, 3855, 2153, 1999, 1996, 2161, 2416, 2792, 1000, 2178, 19047, 12528, 2265, 1000, 1006, 2807, 1007, 1010, 2043, 7059, 4447, 2008, 14916, 1004, 2358, 5714, 7685, 28667, 2100, 18954, 7284, 2000, 2191, 2047, 4178, 1010, 2096, 28789, 2009, 11714, 1004, 11969, 2100, 1005, 1055, 10427, 1997, 2725, 1996, 2168, 1012, 2750, 2023, 1010, 1047, 7277, 7011, 7393, 2072, 2904, 2010, 4309, 1999, 2019, 4357, 2007, 7158, 9304, 1999, 2289, 1998, 3555, 2008, 1996, 19047, 2081, 2009, 6082, 2000, 2079, 2062, 3968, 6292, 2147, 1024, 1000, 2092, 2009, 2318, 2007, 8670, 27488, 1521, 1055, 10478, 8000, 1024, 1996, 2047, 7357, 1998, 21392, 16776, 11458, 1012, 2216, 2020, 4845, 3065, 1010, 2021, 2007, 9014, 1997, 2566, 27774, 1999, 2068, 1012, 2059, 1996, 19047, 2234, 2247, 1998, 2106, 3968, 6292, 3430, 1999, 3539, 2051, 13941, 1012, 1000, 102, 101, 2044, 1996, 3893, 3433, 2000, 1996, 3098, 5537, 2011, 5085, 2100, 1010, 8543, 4717, 24665, 8913, 5582, 1998, 3744, 2234, 2000, 1047, 7277, 7011, 7393, 2072, 1998, 2356, 2032, 2065, 2002, 2071, 2079, 2242, 2714, 1012, 2761, 1010, 2027, 2069, 2359, 2032, 2000, 2079, 1996, 2466, 15271, 1998, 2059, 2292, 2037, 3180, 3626, 2019, 21499, 2009, 1010, 2021, 1047, 7277, 7011, 7393, 2072, 7278, 2006, 2725, 1996, 7284, 2370, 1010, 9990, 2008, 1000, 2065, 2057, 2018, 2589, 2009, 2008, 2126, 1010, 2053, 2028, 2052, 2130, 2031, 2124, 2008, 1045, 2018, 2505, 2000, 2079, 2007, 2009, 2138, 2009, 2052, 2031, 3092, 2039, 2006, 2944, 1998, 2035, 13382, 2000, 13382, 1000, 1012, 2006, 1996, 19047, 1010, 1996, 25132, 2015, 4009, 3145, 22382, 1998, 2059, 2292, 1056, 28394, 16912, 6970, 18155, 3686, 2090, 2216, 22382, 1012, 1996, 6970, 18155, 3370, 2174, 1010, 2003, 1037, 3442, 1037, 2000, 1038, 7284, 1012, 2008, 2126, 1996, 7284, 4515, 2039, 2383, 1996, 3494, 2074, 2183, 2013, 13382, 2000, 13382, 1012, 1047, 7277, 7011, 7393, 2072, 7607, 2008, 2006, 1996, 19047, 2002, 1000, 2359, 2000, 3046, 3048, 1996, 3494, 1999, 4689, 4569, 3971, 1010, 2025, 2074 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00017963518365538567, 0.003610365887609972, 0.017735345832924035, 9.50224846954516e-9, 0.037388935876216785, 0.007203512898537867, 0.028153536561963392, 0.012000640148339334, 0.004638122740852621, 0.04677695875134234, 0.022770707875411623, 0.0027373852421084684, 9.50224846954516e-9, 0.059692150821458255, 0.00004876671289213181, 0.018782986564068824, 0.055745785854934185, 0.00009985420835282097, 0.00592549013770155, 0.000024913066773010705, 0.016727082096631627, 0.00004850048903215787, 0.000010561934166602966, 0.0006773776123068063, 0.00001747568780646383, 9.50224846954516e-9, 0.0006788823864416159, 0.0486813358516458, 0.005923600089685401, 0.004212084975755393, 0.00002006507021461899, 0.03855133471063281, 9.50224846954516e-9, 0.0028901279719128325, 0.16974571025383436, 0.028710606115449545, 0.07135165110546307, 0.18050893503172927, 0.003942580082392128, 0.0055652878663967845, 0.0019454897224762946, 0.027890450460538597, 0.01268650710278787, 0.01985221971000923, 0.023860886636044545, 9.50224846954516e-9, 0.0001010715156317652, 0.00014388557738030566, 0.009663785518707488, 0.002077362548541649 ]
[ 2559, 6057, 2169, 2051, 2027, 2272, 2000, 1037, 2644, 1000, 1010, 1998, 2582, 25187, 1000, 2008, 1996, 2126, 2477, 3047, 2001, 2130, 2062, 2590, 2084, 2054, 2001, 6230, 1999, 2026, 2147, 1012, 2017, 2064, 1521, 1056, 4339, 5107, 2836, 1012, 2017, 2031, 2000, 2941, 4009, 2009, 1012, 1000, 102, 101, 2002, 3662, 24665, 8913, 5582, 1998, 3744, 2010, 4639, 9880, 9132, 1998, 24665, 8913, 5582, 5838, 2011, 3228, 2032, 2489, 2398, 2000, 2079, 1996, 3486, 1030, 1011, 1030, 2117, 1030, 1011, 1030, 2146, 6903, 1012, 24665, 8913, 5582, 2409, 2032, 2000, 3338, 2035, 1996, 19047, 3513, 1010, 2021, 1047, 7277, 7011, 7393, 2072, 7607, 2008, 2002, 1000, 2699, 2025, 2000, 3338, 2151, 3513, 1999, 1996, 3494, 1521, 12857, 1010, 2074, 1999, 1996, 7781, 1997, 1996, 26749, 1012, 1045, 2134, 1521, 1056, 3582, 2151, 4275, 1517, 2025, 2130, 2026, 2219, 1000, 1012, 1996, 2062, 3513, 2002, 3631, 1010, 1996, 2062, 7537, 24665, 8913, 5582, 1998, 3744, 2020, 2007, 1996, 2765, 1012, 10043, 2000, 5085, 2100, 1010, 2040, 3268, 1037, 2166, 1999, 20259, 1010, 1047, 7277, 7011, 7393, 2072, 2001, 2920, 1999, 2296, 6987, 1998, 2130, 14105, 1996, 12931, 10472, 1997, 1996, 2345, 6050, 1012, 2096, 1047, 7277, 7011, 7393, 2072, 6579, 1996, 14134, 3033, 1010, 2002, 2018, 2198, 16135, 14272, 2000, 2393, 2032, 2007, 1996, 3274, 8389, 1998, 4532, 5292, 25074, 2100, 1998, 6838, 12780, 2000, 2079, 1996, 3353, 7284, 1012, 102, 101, 1999, 2019, 4357, 2011, 6606, 8076, 2013, 3617, 2840, 2932, 1010, 1047, 7277, 7011, 7393, 2072, 3936, 2008, 2002, 2052, 2031, 2579, 1037, 2367, 3921, 2000, 1996, 7284, 2065, 2002, 2020, 2000, 2019, 21499, 1996, 2972, 2792, 1012, 3952, 1010, 1996, 7284, 2052, 2022, 12430, 13823, 2084, 2009, 2001, 1999, 1996, 3486, 1030, 1011, 1030, 2117, 1030, 1011, 1030, 2146, 6903, 1012, 1996, 6411, 18201, 2001, 2589, 2012, 1037, 5514, 6393, 2061, 2002, 2001, 2583, 2000, 2421, 2035, 1997, 2010, 4784, 1012, 1047, 7277, 7011, 7393, 2072, 7607, 2008, 1000, 1031, 2065, 1045, 2106, 1037, 2878, 2792, 1033, 1010, 1045, 2052, 5791, 2562, 2006, 23781, 2007, 1996, 2126, 2027, 2693, 1998, 1996, 3772, 1012, 1045, 1005, 1049, 2469, 1045, 2052, 2079, 1997, 2026, 11749, 2146, 5019, 1997, 2048, 3494, 21935, 2007, 2169, 2060, 2302, 1037, 3013, 1012, 1045, 2052, 1031, 2036, 1033, 2215, 2000, 2079, 2062, 4933, 2007, 25532, 1012, 1045, 3866, 2019, 22835, 2014, 1998, 2001, 4427, 2011, 1996, 2126, 1996, 13109, 17580, 21844, 6579, 9724, 1051, 8516, 1012, 1045, 2481, 1005, 1056, 2019, 21499, 1037, 2878, 2431, 3178, 2870, 1010, 2061, 1045, 2052, 10887, 2060, 25132, 2015, 1006, 1998, 11216, 1010, 12499, 1010, 4385, 1012, 1007, 2007, 2844, 6782, 1998, 3459, 2068, 2429, 2000, 2029, 3033, 1997, 1996, 2466, 2052, 2190, 2202, 5056, 1997, 2037, 3265, 5848, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 2713, 1027, 1027, 102, 101, 102, 101, 1996, 2792, 2761, 4836, 2006, 1996, 4419, 2897, 1999, 1996, 2142, 2163, 2006, 2255, 1016, 1010, 2249, 1012, 2009, 2001, 3427, 2011, 3155, 1020, 1030, 1012, 1030, 2539, 2454, 2111, 2076, 2023, 3743, 1012, 1996, 2265, 2363, 1037, 1017, 1030, 1012, 1030, 1014, 13188, 5790, 1999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0002598758580926617, 0.0001267949071946535, 0.12449343008624149, 0.00013496608222458232, 0.06994807711070898, 0.00005023339572473588, 0.006969500425484119, 0.008977891866771661, 0.00029689260035540026, 0.0006401989029357159, 0.000004498078291148631, 0.02540296875834783, 0.024544940204664193, 0.0001599552429104556, 0.06544504894918167, 0.0007954985158733639, 0.00019352940056579157, 0.000037420651639475904, 0.04054091241850834, 0.11652276431944335, 0.0027560090817337225, 0.0006776424226266247, 0.15302607986779168, 0.000004773827252868494, 0.016087476854962545, 0.005663799851194818, 0.01615324775223744, 0.07227764737129218, 0.020863874066312516, 0.0020164793140823064, 0.0012371062546289464, 0.01371208841619025, 0.05178901776481925, 0.004765765183211366, 0.013649425993762166, 0.004177289064836457, 0.004203603920640886, 0.0034073135345073667, 0.000022763888516588533, 0.0057790895147057176, 0.025791946724466143, 0.0013085107609565963, 0.0047954096457954575, 0.0005311661348602161, 0.028722416995846555, 0.000044658142514523394, 0.0449171244745348, 0.01054258244171044, 0.0023461953357446423, 0.003184097623105388 ]
[ 1996, 15982, 2005, 6001, 4793, 2324, 1516, 4749, 1010, 2029, 2001, 1037, 2603, 1003, 4530, 2013, 1996, 2161, 6765, 2792, 1010, 1998, 2019, 2809, 3867, 4378, 3745, 1012, 1996, 19047, 2150, 1996, 2117, 3284, 1030, 1011, 1030, 6758, 2565, 1999, 4419, 1005, 1055, 7284, 17882, 10515, 2008, 2305, 1999, 3408, 1997, 2561, 7193, 1998, 1999, 1996, 2324, 1516, 4749, 15982, 1010, 5131, 2007, 1037, 3020, 5790, 2084, 1996, 6044, 2265, 1998, 2137, 3611, 999, 1010, 2021, 1037, 2896, 5790, 2084, 2155, 3124, 1012, 2122, 2093, 2060, 6579, 3065, 2020, 2112, 1997, 1037, 16335, 2724, 1010, 2170, 2305, 1997, 1996, 7064, 1010, 1999, 2029, 2027, 4207, 1996, 2168, 9994, 1012, 2005, 1996, 2733, 1997, 2244, 2656, 1516, 2255, 1016, 1010, 2249, 1010, 1000, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1000, 5079, 2005, 16318, 2173, 1999, 1996, 8599, 2426, 2035, 2897, 3539, 1030, 1011, 1030, 2051, 8960, 1999, 1996, 2324, 1516, 4749, 15982, 1012, 102, 101, 2144, 10499, 1010, 1000, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1000, 2038, 2042, 2092, 2363, 2011, 2547, 4401, 1012, 13872, 2775, 2015, 1997, 1996, 1037, 1012, 1058, 1012, 2252, 2435, 2023, 2792, 1037, 1000, 1038, 1000, 5790, 1998, 7034, 2008, 1000, 1996, 19047, 4178, 2008, 29453, 2000, 2031, 1037, 2210, 2540, 2302, 2183, 27089, 2024, 3227, 2183, 2000, 2147, 2488, 2084, 1996, 6721, 1030, 1011, 1030, 18201, 4178, 1010, 2012, 2560, 2012, 2023, 2391, 1999, 1996, 2358, 10050, 2098, 2381, 1997, 1996, 19047, 1010, 1998, 1005, 12075, 6762, 2000, 5437, 1996, 8573, 2015, 1005, 2038, 2438, 16776, 2210, 2540, 2000, 2156, 2023, 2792, 2083, 1000, 1010, 2021, 2582, 2626, 2008, 1000, 2045, 2020, 1037, 2193, 1997, 13198, 2008, 2134, 1005, 1056, 2147, 1010, 23689, 4580, 1005, 1055, 2345, 3496, 1999, 3327, 1010, 2021, 1996, 2792, 2018, 1037, 6706, 5460, 1997, 18201, 2015, 2000, 5245, 2083, 1996, 8155, 2335, 1012, 1998, 2008, 1005, 1055, 2035, 2057, 2064, 3198, 2005, 1012, 1000, 19330, 15707, 1005, 1055, 6498, 6676, 2001, 2036, 3893, 1998, 2435, 1996, 2792, 1037, 5790, 1997, 2698, 2041, 1997, 2702, 1010, 2096, 15591, 2008, 2002, 1000, 2245, 2023, 2001, 1037, 15298, 2091, 24170, 2013, 1996, 2161, 6765, 1999, 3408, 1997, 11591, 21699, 3643, 1010, 2021, 1996, 23997, 1997, 12075, 1005, 1055, 4547, 3325, 1010, 4117, 2007, 1996, 12024, 1997, 2010, 5506, 8795, 2005, 3425, 1010, 5791, 2081, 2023, 2028, 1037, 3453, 1012, 1000, 102, 101, 1996, 6411, 18201, 2005, 1996, 2792, 2001, 11321, 10251, 2011, 2547, 4401, 1012, 13463, 13463, 2072, 1997, 9476, 24702, 2170, 1996, 3098, 6208, 1998, 4541, 2008, 1000, 1999, 3486, 2460, 1998, 4086, 3823, 1010, 2002, 5622, 5677, 8520, 1996, 7284, 1997, 1996, 19047, 2013, 2086, 1997, 8425, 7221, 23732, 1012, 1000, 2002, 2506, 1024, 1000, 1996, 5107, 2298, 1997, 1996, 2265, 1010, 2029, 2038, 2042, 2061, 5362, 4758, 2011, 2049, 6443, 1010, 4150, 1037, 21025, 14968, 1998, 16591, 27361, 14705, 2005, 8425, 2377, 1010, 1998, 1996, 5703, 1997, 5541, 3691, 2003, 5429, 2013, 1996, 4898, 1005, 2282, 2000, 1996, 25132, 2015, 1999, 2028, 3062, 25430, 18589, 1012, 1000, 2043, 13599, 1996, 6903, 2000, 5085, 2100, 1005, 1055, 1010, 13463, 2072, 5531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0010562970773036965, 0.032515880951443, 0.0025254197168870446, 0.0009040454351211438, 0.000515465923038914, 0.00006165176834364475, 0.1449424166782382, 0.0887250506190726, 0.00019523892365543884, 0.0021583970767985253, 0.00015886716681975038, 0.00019915859041957598, 0.061026345794740415, 0.00006032798064877235, 0.000043642562498474496, 0.00013390442582890736, 0.015316895286895494, 0.00017487999855895486, 0.000273709960079568, 0.0021248750307451803, 0.000053292700895687935, 0.0012950240966203316, 0.000007622693631583412, 0.0913130185564723, 0.06392888161869732, 0.002820019272814319, 0.004941256714006307, 0.08523249760506016, 0.00017121696925698665, 0.00016374433203721644, 0.0010725949345182584, 0.018573689339362043, 0.011656632867984648, 0.000008702087388902105, 0.04945559165725097, 0.0001669539471369718, 0.0005911296135739836, 0.04401093042857849, 0.047341074403469845, 0.11654197146370474, 0.002072649310176897, 0.013538157669888142, 0.029797679424146406, 0.000021136723203597928, 0.0031369552832871865, 0.000004792816939931482, 0.0037138875898859395, 0.00008769953814391627, 0.021131390257501027, 0.034037335117228534 ]
[ 2008, 2009, 2003, 1000, 1999, 2755, 1010, 2521, 2062, 4942, 14028, 3512, 2138, 2002, 7679, 2471, 7580, 2006, 2437, 1037, 28304, 4861, 1010, 2128, 23115, 5844, 1996, 2265, 1005, 1055, 7444, 4706, 3787, 2000, 1996, 2067, 2835, 1012, 1000, 6660, 1010, 2547, 12586, 1005, 1055, 5736, 2100, 4138, 2626, 2008, 2016, 9120, 2015, 1000, 1996, 19047, 2467, 2108, 5627, 2000, 5245, 1996, 11255, 1999, 2367, 3971, 1000, 1010, 2021, 4914, 2008, 2009, 2052, 2202, 2014, 1000, 2070, 2051, 2000, 2131, 1996, 6080, 2135, 1030, 1011, 1030, 15817, 25532, 9304, 1998, 1996, 3389, 4892, 11525, 9304, 2041, 1997, 1031, 2014, 1033, 4167, 1012, 1000, 102, 101, 102, 101, 102, 101, 1027, 22434, 17666, 12059, 1027, 102, 101, 102, 101, 22434, 17666, 12059, 2001, 1037, 2645, 26775, 27020, 2121, 1997, 1996, 2446, 15676, 27412, 3884, 1006, 4461, 3212, 1007, 1010, 1996, 2353, 2911, 1997, 1996, 4315, 4246, 23101, 2465, 1010, 2328, 2000, 1037, 3621, 6310, 2640, 1012, 2016, 3344, 1996, 2168, 6046, 1997, 2809, 2382, 1030, 1012, 1030, 1019, 4642, 1006, 2260, 1030, 1012, 1030, 1014, 1999, 1007, 4409, 1010, 2021, 1999, 5301, 21088, 2008, 3039, 2068, 2000, 2543, 2582, 1012, 1996, 2911, 2001, 2036, 3621, 3469, 1998, 5514, 2084, 2014, 2048, 2905, 3719, 1012, 2016, 2001, 2315, 1999, 3932, 1997, 2492, 8610, 2703, 3854, 17666, 12059, 1010, 1996, 5125, 1997, 1996, 2645, 1997, 9092, 10224, 4059, 1998, 1996, 2645, 1997, 1996, 16137, 29091, 6597, 1010, 2004, 2092, 2004, 4259, 3474, 1997, 1996, 2446, 8749, 2013, 4947, 1012, 1996, 2911, 2001, 1996, 2197, 3007, 2911, 1997, 2151, 2828, 2328, 2011, 1996, 2446, 3212, 2076, 2088, 2162, 1045, 1012, 102, 101, 17666, 12059, 2001, 4837, 2397, 1999, 1996, 2162, 1998, 2004, 1037, 2765, 2018, 1037, 4766, 2326, 2476, 1012, 1996, 2911, 2165, 2112, 1999, 1037, 9210, 1997, 2460, 4170, 3136, 2004, 1996, 10565, 1997, 1996, 1045, 14299, 2177, 1999, 4585, 1516, 2324, 1010, 2295, 2387, 2053, 2350, 2895, 1012, 1996, 3818, 2345, 4066, 2666, 1997, 1996, 4170, 1999, 1996, 2197, 3134, 1997, 1996, 2162, 2234, 2000, 2498, 2043, 1996, 10604, 1997, 1996, 3007, 3719, 14163, 7629, 6340, 1012, 17666, 12059, 2001, 3525, 26345, 2007, 1996, 2717, 1997, 1996, 2446, 2645, 26775, 27020, 2545, 2012, 8040, 22068, 4834, 1999, 2281, 4271, 1012, 4373, 5902, 10302, 3854, 2128, 19901, 3641, 1996, 3719, 2022, 8040, 4904, 14782, 2006, 2538, 2238, 4529, 1012, 17666, 12059, 2001, 1996, 2197, 1997, 1996, 3719, 2000, 7752, 1012, 2016, 2001, 2992, 1999, 4479, 1998, 3714, 2039, 2005, 15121, 2058, 1996, 2206, 2048, 2086, 1012, 102, 101, 102, 101, 1027, 1027, 2640, 1027, 1027, 102, 101, 102, 101, 17666, 12059, 1005, 1055, 3078, 14410, 2001, 2809, 2382, 1030, 1012, 1030, 1019, 4642, 1006, 2260, 1999, 1007, 4409, 1999, 2176, 5519, 21088, 1010, 1996, 2168, 2004, 1999, 2014, 2048, 5208, 1012, 2174, 1010, 1996, 3282, 21088, 2020, 2852, 2232, 29215, 1013, 5124, 19363, 1010, 2029, 2020, 2019, 5301, 2544, 1996, 2852, 2232, 29215, 1013, 4878, 2828, 19363, 2006, 4315, 4246, 23101, 1998, 11320, 5753, 5004, 1517, 1996, 3282, 3506, 2006, 17666, 12059, 3039, 3282, 6678, 2000, 2385, 1080, 1010, 2004, 4941, 2000, 2410, 1030, 1012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.019420038240001224, 0.000001561722856176625, 0.02968383821448777, 0.005796613765143148, 0.004607537954307165, 0.01833596725456514, 0.0385507188814079, 0.00009815513857433842, 9.191244053266116e-9, 0.012449383359544883, 0.00009265898166421393, 0.0013988259383333152, 0.0029787994844599633, 0.00022482264072787346, 0.019313040067763642, 0.0004554033189360285, 0.03837984609175224, 0.004503744343921622, 0.0655172597639403, 0.000030340284305968725, 9.191244053266116e-9, 0.0028700827908154087, 0.00005509130248454318, 0.10394321123075667, 0.000026217001044271515, 0.00003876434282078984, 0.000020605663351709378, 0.00011560024883211009, 0.10049322331676265, 0.013826897921854181, 0.0005577805100836558, 0.00004481274060176441, 0.13650744580259153, 0.00009509097412216877, 0.002341362012266903, 0.001477965067410081, 0.090067803337172, 0.000018517023993265866, 0.007555762975302636, 0.014992881530286441, 0.001323004005248192, 0.016379728390227936, 0.056463375202695405, 0.00018218202567849795, 0.03215736764609603, 0.050154884672835916, 0.0000023183033254227893, 0.005036520942480155, 0.0007419040830117655, 0.10067102510666681 ]
[ 1030, 1019, 1080, 1999, 1996, 3041, 2944, 1012, 2023, 2435, 1996, 4409, 5614, 1999, 1996, 2852, 2232, 29215, 1013, 5124, 21088, 2019, 5056, 1997, 2070, 1016, 1030, 1010, 1030, 2199, 1049, 1006, 1016, 1030, 1010, 1030, 3263, 21076, 1007, 2058, 2216, 1999, 1996, 3080, 14493, 1012, 2066, 2014, 2905, 2911, 1010, 1996, 11320, 5753, 5004, 1010, 2016, 2001, 4273, 2007, 7426, 2321, 4642, 1006, 1019, 1030, 1012, 1030, 1023, 1999, 1007, 15315, 1048, 1013, 3429, 4409, 1998, 2176, 3438, 4642, 1006, 2603, 1030, 1012, 1030, 1020, 1999, 1007, 9862, 10868, 2612, 1997, 1996, 3115, 4376, 2321, 4642, 4409, 1998, 2176, 2753, 4642, 1006, 2539, 1030, 1012, 1030, 1021, 1999, 1007, 10868, 5614, 2006, 4315, 4246, 23101, 1012, 2096, 1016, 1030, 1012, 1030, 1019, 1049, 1006, 1022, 1030, 1012, 1030, 1016, 3027, 1007, 2936, 1998, 3998, 12046, 6197, 1006, 3998, 2146, 6197, 1025, 14210, 2460, 6197, 1007, 11907, 2084, 2014, 5208, 1010, 17666, 12059, 2001, 2036, 5514, 1010, 5214, 1997, 19986, 2012, 2656, 1030, 1012, 1030, 1020, 9439, 1006, 4749, 1030, 1012, 1030, 1017, 2463, 1013, 1044, 1025, 2382, 1030, 1012, 1030, 1020, 5601, 1007, 2076, 7012, 1010, 4102, 2007, 2423, 1030, 1012, 1030, 1019, 9439, 1006, 4700, 1030, 1012, 1030, 1016, 2463, 1013, 1044, 1025, 2756, 1030, 1012, 1030, 1017, 5601, 1007, 2005, 4315, 4246, 23101, 1012, 102, 101, 102, 101, 1027, 1027, 2326, 2381, 1027, 1027, 102, 101, 102, 101, 2328, 2011, 1996, 15676, 27412, 2057, 12881, 2102, 2012, 2037, 13858, 1999, 9070, 7377, 8159, 1010, 17666, 12059, 2001, 1996, 2353, 1998, 2345, 2911, 1997, 2014, 2465, 1025, 2014, 2905, 3719, 2020, 4315, 4246, 23101, 1998, 11320, 5753, 5004, 1012, 2881, 2004, 1037, 6110, 2005, 1996, 9750, 5123, 10844, 2014, 8322, 1010, 17666, 12059, 1005, 1055, 19602, 2001, 4201, 2091, 2006, 2382, 2238, 5124, 1012, 2016, 2001, 3390, 2006, 1015, 2257, 4936, 1010, 2021, 2349, 2000, 9564, 2810, 18402, 1999, 2051, 1997, 2162, 1010, 2016, 2001, 2025, 2949, 2127, 2184, 2089, 4585, 1010, 2011, 2029, 2051, 2009, 2001, 2205, 2397, 2005, 2014, 2000, 2156, 2151, 3278, 3136, 1999, 2088, 2162, 1045, 1012, 2012, 1996, 2051, 1010, 2329, 3987, 4454, 3373, 1996, 2911, 2001, 4837, 2061, 2397, 2138, 2016, 2018, 2018, 3033, 3718, 2000, 7192, 4315, 4246, 23101, 2044, 1996, 2645, 1997, 18414, 19270, 1999, 2238, 4947, 1012, 1999, 5025, 3012, 1010, 2810, 8979, 3254, 2138, 1997, 4450, 22623, 1012, 102, 101, 22434, 17666, 12059, 2001, 1996, 2197, 2645, 26775, 27020, 2121, 2949, 2005, 1996, 4461, 2446, 3212, 1010, 1998, 2004, 2107, 2018, 1037, 2200, 2460, 2476, 1012, 2016, 2001, 3929, 6515, 2011, 2322, 2255, 4585, 1010, 2021, 2023, 2001, 2205, 2397, 2000, 2156, 2151, 2350, 3169, 1999, 2088, 2162, 1045, 1012, 2006, 2459, 2281, 17666, 12059, 1998, 9587, 7096, 3489, 1010, 2247, 2007, 1996, 2422, 16722, 1997, 1996, 2462, 14299, 2177, 1010, 2020, 3772, 2004, 6802, 2490, 2005, 2446, 7134, 28394, 7347, 2125, 1996, 2446, 3023, 2043, 1996, 7134, 28394, 7347, 2020, 4457, 2011, 2329, 15964, 1012, 1996, 2329, 10642, 2443, 1996, 2047, 2645, 26775, 27020, 2545, 16360, 28426, 2063, 1010, 26103, 1010, 1998, 14013, 1012, 2174, 1010, 1996, 8118, 2001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.013755186139658168, 0.000004905151271538465, 0.11679701471043867, 0.08530290460381026, 0.017415068867747067, 0.05205913008436474, 0.03176309788428066, 0.000003265505449228196, 0.00032117497402105546, 0.000016041707012105936, 0.03888137384153337, 0.053407797399753196, 0.0013501882969569857, 0.000003845392779495436, 0.00016384770968810373, 0.011771268947543202, 0.00007670693343341161, 0.053468316287018924, 0.001127272023515998, 9.61619829370284e-9, 0.001387753464380308, 0.007212604251198908, 0.04406492658021573, 0.013928448303791299, 0.05152340139553986, 0.00010011494553110153, 0.0005100565758352904, 0.009718959385659951, 0.00044189499119799637, 0.00017400953665711695, 0.07929472946714093, 0.004293539880867533, 0.00040788945904281476, 0.000011023436553679371, 0.000021391794497072338, 0.04894282595722537, 0.0003489579855827852, 0.000004588082252180349, 0.009171650273989142, 0.025982500913194217, 0.001220310328358756, 0.029252819631075996, 0.04580514200965685, 0.00004497497088085526, 0.060152677271708255, 0.04715996216398026, 0.04092728288630236, 0.00005771278544003911, 9.61619829370284e-9, 0.00014942557957048702 ]
[ 4766, 1025, 2011, 1996, 2051, 17666, 12059, 1998, 9587, 7096, 3489, 3369, 2006, 1996, 3496, 1010, 1996, 2329, 3719, 2018, 3714, 2125, 1996, 2886, 1998, 9633, 1012, 2006, 2603, 2281, 1010, 17666, 12059, 2999, 7367, 25688, 24725, 2004, 10565, 1997, 1996, 1045, 14299, 2177, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5083, 1997, 2603, 2258, 4271, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 2397, 4585, 1010, 2422, 2749, 1997, 1996, 2152, 11915, 4170, 2211, 6970, 29201, 2075, 2329, 23083, 2000, 5120, 1012, 2006, 2459, 2255, 1996, 2422, 16722, 7987, 2819, 5017, 1998, 7987, 6633, 3366, 16618, 2028, 1997, 1996, 23083, 1010, 10186, 3157, 1997, 1996, 4376, 6636, 3719, 1998, 1996, 2048, 23831, 13242, 1517, 2984, 3123, 1998, 2844, 18912, 1517, 2077, 3810, 2067, 2000, 2762, 1012, 2006, 2260, 2285, 1010, 2176, 2446, 13242, 22168, 1037, 2117, 2329, 9549, 1997, 2274, 6636, 6470, 1998, 2048, 2329, 13242, 1012, 2035, 2274, 19003, 2020, 10417, 1010, 2004, 2001, 2028, 1997, 1996, 13242, 1012, 2206, 2122, 2048, 11217, 1010, 5902, 2585, 27305, 1010, 1996, 3474, 1997, 1996, 2882, 4170, 1010, 12230, 21327, 2013, 1996, 2645, 4170, 2000, 4047, 1996, 23083, 1012, 1996, 2446, 3212, 2001, 2085, 3591, 2007, 2019, 4495, 2005, 2029, 2009, 2018, 2042, 3403, 1996, 2972, 2162, 1024, 1037, 4664, 1997, 1996, 15973, 2135, 6428, 2882, 4170, 2001, 5459, 1998, 2071, 2022, 7275, 1998, 3908, 1012, 3580, 5902, 8965, 3854, 5099, 4842, 3740, 1996, 3169, 1024, 1996, 2645, 26775, 27020, 2545, 1997, 1996, 1045, 14299, 2177, 1010, 2247, 2007, 2422, 16722, 1998, 13242, 1010, 2052, 2886, 2028, 1997, 1996, 2312, 23083, 1010, 2096, 1996, 2717, 1997, 1996, 2152, 11915, 4170, 2052, 3233, 2011, 1010, 3201, 2000, 2886, 1996, 2329, 14436, 3630, 18533, 17224, 3704, 1012, 102, 101, 2012, 5709, 1024, 4002, 2006, 2603, 2258, 4271, 1010, 1996, 2446, 4170, 1010, 2007, 17666, 12059, 1999, 1996, 2599, 1010, 7745, 2013, 1996, 8040, 7100, 8004, 4925, 14565, 1012, 5099, 4842, 3641, 9949, 21670, 2022, 2921, 2000, 1037, 6263, 1010, 2000, 4652, 2329, 4454, 2013, 4909, 2557, 19115, 2015, 1012, 2012, 5757, 1024, 2184, 1996, 2446, 2645, 26775, 27020, 2545, 2018, 2584, 1037, 2597, 3155, 3438, 7338, 4943, 1997, 12674, 1010, 2043, 9587, 7096, 3489, 2439, 2014, 5110, 25211, 15692, 1012, 2302, 5012, 2013, 1996, 2300, 1010, 1996, 15692, 1030, 1011, 1030, 2625, 9093, 2211, 9419, 5514, 1998, 5514, 1010, 2127, 2028, 1997, 1996, 3194, 19456, 5520, 4237, 1012, 14021, 2527, 2361, 11877, 2013, 1996, 3714, 10394, 5591, 2195, 20412, 1998, 9538, 1037, 4920, 1999, 1996, 6738, 1025, 1996, 2911, 2001, 2757, 1999, 1996, 2300, 1012, 1996, 2911, 1005, 1055, 3626, 3466, 2098, 5741, 10315, 1010, 2029, 3039, 1996, 2911, 2000, 5492, 2012, 1018, 9439, 1006, 1021, 1030, 1012, 1030, 1018, 2463, 1013, 1044, 1025, 1018, 1030, 1012, 1030, 1020, 5601, 1007, 1012, 2174, 1010, 2009, 2001, 2787, 2000, 2202, 1996, 2911, 2104, 15805, 2011, 1996, 17224, 2214, 12059, 1012, 2750, 2023, 2275, 5963, 1010, 5099, 4842, 2506, 17192, 1012, 2011, 2403, 1024, 4002, 1010, 5099, 4842, 1005, 1055, 2486, 2018, 4625, 1996, 9549, 2799, 2195, 2335, 2021, 2018, 2179, 2498, 1012, 2012, 2403, 1024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.013115014663204303, 0.0005039709938578099, 0.00025940755499295347, 0.02595422509026609, 0.00003418730721264461, 0.00001377975633581174, 0.06155743176678116, 0.030973068882512198, 0.0000811045946072962, 0.0029333037951186293, 0.10009023032778355, 0.010051252342529413, 0.001785176164019556, 0.012290258546959448, 0.0012354751325973086, 1.3536169361413924e-8, 0.0012937709147194147, 0.002383294830599692, 0.04882578382874565, 0.06714946712942783, 0.04727293465662668, 0.0023294498208521735, 0.043412162539270834, 0.00001425141637133405, 0.00779928827587096, 0.010033705234079348, 0.03339656766771432, 0.00001666369000191304, 0.00021253277777635906, 0.004867303010774486, 0.04525085304650182, 0.0012770355003532837, 0.008475787462191336, 0.07702127535442918, 0.004732685567124559, 0.002944671046820177, 0.0001052166679827213, 0.004230819238831768, 0.09180722770521574, 0.03566849514398074, 0.021275045126558874, 0.019220940093776024, 0.00015998984708821107, 0.00010679382181685329, 0.0011570761478383704, 0.008087483814250472, 0.0518184666985981, 0.0044026559254512114, 0.09229907883577237, 0.0000733267076396201 ]
[ 2184, 1010, 5099, 4842, 2357, 2010, 3719, 22161, 1012, 2011, 2324, 1024, 4261, 1010, 1996, 2446, 4170, 2018, 2081, 2009, 2067, 2000, 1996, 5600, 3067, 15155, 4193, 2037, 7888, 1012, 2009, 2001, 2101, 3603, 2008, 1996, 9549, 2018, 2187, 3417, 1037, 2154, 2101, 2084, 3517, 2011, 1996, 2446, 4041, 3095, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2101, 3740, 3136, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 2340, 2257, 4271, 1010, 5099, 4842, 2001, 3755, 2000, 5902, 1998, 2445, 3094, 1997, 1996, 2972, 2152, 11915, 4170, 1012, 4373, 5902, 10302, 3854, 2128, 19901, 2999, 5099, 4842, 2004, 1996, 3474, 1997, 1996, 1045, 14299, 2177, 1025, 2002, 2992, 2010, 5210, 2006, 17666, 12059, 1996, 2206, 2154, 1012, 102, 101, 17666, 12059, 2001, 2000, 2031, 2579, 2112, 1999, 2054, 2052, 2031, 18779, 2000, 1996, 1000, 2331, 4536, 1000, 1997, 1996, 2152, 11915, 4170, 3859, 2077, 1996, 2203, 1997, 2088, 2162, 1045, 1012, 1996, 9625, 1997, 1996, 2152, 11915, 4170, 2001, 2000, 2031, 4066, 6340, 2013, 2037, 2918, 1999, 9070, 7377, 8159, 2000, 8526, 1996, 2329, 2882, 4170, 1025, 5902, 27788, 11783, 8040, 21030, 2099, 3832, 2000, 1999, 29301, 2004, 2172, 4053, 2004, 2825, 2006, 1996, 2329, 3212, 1010, 2000, 6162, 1037, 2488, 21990, 2597, 2005, 2762, 3649, 1996, 3465, 2000, 1996, 4170, 1012, 1996, 2933, 2920, 2048, 17424, 4491, 2011, 2422, 16722, 1998, 13242, 1010, 2028, 2006, 13998, 1998, 2178, 2006, 7829, 1999, 1996, 11076, 18056, 1025, 17666, 12059, 1998, 1996, 2060, 2176, 2645, 26775, 27020, 2545, 2020, 2000, 2490, 1996, 11076, 2886, 1012, 2044, 2119, 9326, 1010, 1996, 4170, 2001, 2000, 10152, 2125, 1996, 3803, 3023, 1010, 2073, 2009, 2052, 3113, 1996, 2882, 4170, 1999, 2645, 1012, 2096, 1996, 4170, 2001, 9530, 19454, 8524, 3436, 1999, 9070, 7377, 8159, 1010, 2162, 1030, 1011, 1030, 16040, 11279, 2211, 5532, 2075, 4372, 3742, 2063, 1012, 2004, 3854, 4315, 9092, 2078, 1998, 4315, 4246, 23101, 2979, 2083, 1996, 11223, 2008, 5459, 9070, 7377, 8159, 1005, 1055, 5110, 6496, 1998, 4925, 14565, 1010, 2070, 3998, 2273, 2013, 2119, 3719, 6589, 2058, 1996, 2217, 1998, 5419, 16145, 1012, 102, 101, 2006, 2484, 2255, 4271, 1010, 1996, 2344, 2001, 2445, 2000, 9498, 2013, 9070, 7377, 8159, 1012, 3225, 2006, 1996, 2305, 1997, 2756, 2255, 1010, 11279, 2006, 2195, 21327, 14163, 7629, 6340, 1025, 2093, 3719, 2013, 1996, 3523, 3704, 4188, 2000, 17042, 24674, 1010, 1998, 4490, 1997, 20223, 2020, 5462, 2006, 2604, 1996, 21327, 16215, 12228, 2368, 1998, 2002, 2140, 24141, 5685, 1012, 1999, 1996, 2227, 1997, 2330, 7417, 1010, 1996, 2344, 2000, 9498, 2001, 24501, 15459, 5732, 1998, 1996, 3740, 3169, 2001, 4704, 1012, 1999, 2019, 3535, 2000, 16081, 1996, 19306, 1010, 1996, 2152, 11915, 4170, 11435, 2020, 15484, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 6580, 1027, 1027, 1027, 102, 101, 102, 101, 2104, 1996, 3408, 1997, 1996, 19125, 2090, 2762, 1998, 1996, 6956, 2008, 3092, 2088, 2162, 1045, 1010, 1996, 3484, 1997, 1996, 2446, 4170, 2001, 2000, 2022, 26345, 2012, 8040, 22068, 4834, 1025, 2023, 2443, 17666, 12059, 1998, 1996, 2717, 1997, 1996, 2645, 26775, 27020, 2545, 1012, 2006, 2538, 2281, 4271, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.04125443826719829, 0.00003973490244814747, 0.009456454691863205, 0.00006611431866343632, 0.012660373253225611, 0.013030207793227576, 0.003933149750248297, 0.05481806927493364, 0.00022336834532435987, 0.0018538160950275378, 0.021784410577677594, 0.08026082628175771, 0.0023776130291086246, 0.04292727567860943, 0.00002246612832638863, 0.07710908957170447, 0.002357447632667003, 0.0015391288980533978, 0.0003254279884832918, 0.00003336296935230199, 0.0004921420275920581, 0.04932529570555568, 0.10236657936906923, 0.1178752147719178, 0.002516429640716646, 0.0024699347605318376, 0.0007155400295255521, 0.0008161399990869034, 0.0011794268914675009, 0.00009188521234501171, 0.09935782833143952, 0.00008766799195962409, 0.0021401882450330697, 0.00006798029130869683, 0.00010102160879761449, 0.011369765542774279, 0.00009075992061608741, 0.00004477761398323976, 0.0000797845893733292, 0.13568998219528017, 0.00003560578077581254, 0.0765433838266112, 0.0008239260338589097, 0.008169017753086488, 0.0004443284083013573, 0.00018143049183966673, 0.000041391860366825144, 0.0001943790872663002, 0.0015869011203033577, 0.019028515451315918 ]
[ 1996, 3719, 2000, 2022, 26345, 1517, 2403, 3007, 3719, 1010, 2698, 2422, 16722, 1010, 1998, 2753, 1997, 1996, 2087, 2715, 9862, 6242, 1517, 7745, 2446, 5380, 2005, 2054, 2052, 6011, 2000, 2022, 1996, 2197, 2051, 1012, 3188, 2000, 1996, 6712, 1997, 1996, 2446, 4170, 1010, 5902, 12500, 3854, 19817, 14573, 2050, 2081, 3154, 2000, 4373, 5902, 10302, 3854, 2128, 19901, 1010, 2040, 2001, 2445, 3094, 1997, 1996, 3719, 2000, 2022, 26345, 1010, 2008, 2002, 2071, 2025, 3499, 1996, 6956, 2000, 15126, 1996, 3719, 1010, 2104, 2151, 3785, 1012, 1996, 4170, 20558, 2098, 2007, 1996, 2329, 2422, 10844, 10149, 1010, 2029, 2419, 1996, 3719, 2000, 1996, 6035, 4170, 2008, 2001, 2000, 8620, 1996, 7074, 2000, 8040, 22068, 4834, 1012, 1996, 5294, 17150, 5031, 1997, 2070, 16444, 2329, 1010, 2137, 1010, 1998, 2413, 15964, 1012, 102, 101, 1996, 4170, 2815, 1999, 16187, 2076, 1996, 7776, 1999, 18346, 2008, 4821, 2550, 1996, 5036, 2008, 3092, 1996, 2162, 1012, 1037, 6100, 1997, 1996, 2335, 6727, 3854, 2128, 19901, 2008, 1996, 19125, 2001, 2000, 4654, 20781, 2012, 11501, 2006, 2538, 2238, 4529, 1010, 1996, 15117, 2011, 2029, 2762, 2001, 2000, 2031, 2772, 1996, 3521, 5036, 1012, 4373, 5902, 3854, 2128, 19901, 2234, 2000, 1996, 7091, 2008, 1996, 2329, 3832, 2000, 15126, 1996, 2446, 3719, 2044, 1996, 19125, 13735, 1012, 2000, 4652, 2023, 1010, 2002, 2787, 2000, 8040, 4904, 9286, 2010, 3719, 2012, 1996, 2034, 4495, 1012, 2006, 1996, 2851, 1997, 2538, 2238, 1010, 1996, 2329, 4170, 2187, 8040, 22068, 4834, 2000, 6204, 2731, 23802, 1025, 2012, 2340, 1024, 2322, 2128, 19901, 11860, 1996, 2344, 2000, 2010, 3719, 1012, 17666, 12059, 2001, 1996, 2197, 2911, 2000, 7752, 1010, 2012, 2459, 1024, 4002, 1012, 2014, 2952, 2018, 9969, 5412, 2008, 1996, 2911, 7569, 2006, 2019, 2130, 19602, 2000, 2191, 2009, 6082, 2005, 2014, 3626, 2000, 4019, 1012, 2044, 2195, 7736, 4740, 1010, 2016, 2001, 2992, 2006, 2603, 2251, 4479, 1010, 2069, 2000, 2022, 14553, 2012, 26851, 2705, 2090, 4479, 1998, 4673, 1012, 2014, 4330, 2001, 3591, 2000, 1996, 21122, 6155, 21966, 1006, 2976, 3212, 1007, 2006, 2654, 2089, 3851, 1012, 102, 101, 102, 101, 102, 101, 1027, 12022, 16098, 25032, 3481, 1027, 102, 101, 102, 101, 12022, 16098, 25032, 3481, 1006, 16815, 2072, 1024, 1319, 29863, 29876, 29853, 1325, 1315, 1341, 29870, 29876, 1007, 2003, 1037, 3481, 1999, 1996, 2103, 1997, 12170, 9126, 2121, 1010, 16815, 1010, 2634, 1012, 1996, 3481, 2001, 2761, 2170, 5413, 28282, 3490, 1998, 2001, 4096, 12022, 16098, 25032, 2030, 1000, 2214, 3481, 1000, 1999, 1996, 2220, 3983, 2301, 2043, 1996, 6996, 2155, 2333, 2000, 21348, 13484, 4186, 2648, 1996, 3481, 6537, 1012, 2009, 2003, 2028, 1997, 1996, 2261, 2350, 15421, 1999, 16815, 2029, 2003, 2025, 2328, 2006, 1037, 25566, 1012, 1996, 2715, 2103, 1997, 12170, 9126, 2121, 2038, 2764, 2105, 1996, 3481, 1012, 102, 101, 1996, 3481, 3375, 2001, 2328, 2104, 1996, 10429, 1997, 13173, 2078, 9212, 2094, 1010, 1996, 3539, 2704, 1997, 10164, 15547, 5960, 1010, 1996, 4369, 7786, 1997, 12170, 9126, 2121, 1010, 2040, 5451, 2013, 17403, 2487, 2000, 28769, 4748, 1012, 2810, 1997, 1996, 3681, 1998, 3378, 25266, 8420, 1999, 17696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.001482193284273084, 0.0758862893978561, 0.0028019427831813535, 0.0007878027291950602, 0.004654282172142838, 0.033341767614144084, 0.0007903264437472176, 0.03265589006694894, 0.0006229533019034765, 0.0008528656979012377, 0.05396662664597944, 0.0002508879810495213, 0.000025746321565384018, 0.06306843464421727, 0.00003438024328958347, 0.00419023007993363, 0.0374919822550244, 0.021462506380636338, 0.018986167687982895, 0.06248439778264357, 0.009321503304868512, 0.011688128231594916, 0.00007875014757633417, 0.01780835726742006, 0.0037754423320055185, 0.05467531946859142, 0.013616143982222346, 0.001642642349592945, 0.000907586531813418, 0.00032512846425126454, 0.09124802526802925, 0.003270796321847222, 0.0018018329338767404, 0.0059220725642073506, 0.0008028032079945962, 8.015148630913318e-9, 0.000020396259420876226, 0.007827108318197308, 0.0008909251148079592, 0.012611405972477223, 0.038116187464362586, 0.13259112285332844, 0.10070630296538967, 0.000002915693400426009, 0.000027356291403031662, 0.016358225806803257, 0.0011342970204149838, 0.052677288272687264, 0.00002455797240627723, 0.004289696090244551 ]
[ 2683, 1998, 2001, 2949, 1999, 18914, 2549, 1012, 2009, 2001, 2328, 2648, 1996, 2434, 3481, 1997, 1996, 2103, 1010, 2055, 1015, 1030, 1012, 1030, 1019, 3717, 1006, 1014, 1030, 1012, 1030, 6109, 2771, 1007, 2013, 1996, 2103, 2803, 1012, 2070, 11270, 1997, 1996, 2214, 3481, 2024, 6560, 2379, 1996, 21352, 24331, 3379, 1012, 102, 101, 3439, 2636, 7487, 2008, 2750, 1996, 5567, 4491, 2011, 6716, 2000, 5425, 1996, 3481, 1010, 2009, 2001, 2025, 2579, 1010, 3272, 2005, 1037, 10459, 2028, 1030, 1011, 1030, 2154, 6139, 2011, 27829, 5521, 18366, 1012, 27829, 5521, 2001, 1996, 2117, 2365, 1997, 1996, 17877, 3750, 20948, 2099, 2040, 4457, 12170, 9126, 2121, 1999, 16710, 2549, 1010, 2029, 2001, 2059, 5451, 2011, 10546, 17410, 2102, 5960, 1012, 102, 101, 1996, 1019, 1030, 1012, 1030, 2654, 9076, 2312, 3481, 18761, 2003, 16054, 5732, 2007, 22763, 1010, 8436, 1998, 10531, 2015, 1012, 2122, 3121, 17120, 1037, 12490, 3226, 1010, 19676, 1999, 1996, 4666, 1997, 6549, 6782, 1012, 102, 101, 102, 101, 1027, 1027, 10505, 1027, 1027, 102, 101, 102, 101, 12022, 16098, 25032, 3481, 2003, 2284, 1999, 1996, 17511, 2555, 1997, 1996, 22794, 2099, 5532, 1997, 16815, 11356, 2006, 1996, 4514, 2011, 1996, 19027, 10175, 3669, 2846, 1010, 1037, 2846, 1997, 4020, 1999, 2530, 2634, 1012, 2112, 1997, 1996, 5532, 2181, 2003, 1999, 12170, 9126, 2121, 2103, 1010, 2029, 2003, 2028, 1997, 1996, 2093, 5532, 9546, 3655, 1025, 1996, 2060, 2048, 3655, 2024, 17410, 12002, 5017, 1998, 8183, 16425, 5311, 1012, 1996, 2171, 1997, 1996, 2173, 2073, 12170, 9126, 2121, 2103, 2007, 2049, 15421, 2001, 2511, 2001, 2059, 2124, 2004, 11810, 27266, 9953, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 2077, 1996, 2556, 12022, 16098, 25032, 3481, 2001, 2328, 1010, 2019, 2214, 2962, 3481, 5839, 1999, 1996, 2103, 1012, 2023, 3481, 2001, 2328, 1999, 16471, 2620, 2011, 10546, 12170, 2912, 2040, 2511, 1996, 2103, 1997, 12170, 9126, 2121, 1999, 16471, 2475, 1012, 10546, 12170, 2912, 2001, 1996, 2117, 2365, 1997, 21609, 10546, 8183, 17516, 1997, 1996, 9350, 16368, 6338, 1010, 1996, 3910, 1997, 8183, 16425, 5311, 2103, 1012, 2002, 11438, 1996, 2312, 17511, 4915, 2000, 1996, 2642, 2555, 1997, 16815, 2000, 2275, 2039, 2010, 5884, 1012, 2004, 1996, 2117, 2365, 1997, 8183, 17516, 2002, 2018, 2053, 3382, 1997, 22490, 2075, 2010, 2269, 1521, 1055, 3700, 1997, 8183, 16425, 5311, 2030, 2000, 1996, 2516, 1997, 21609, 1012, 2002, 1010, 3568, 1010, 28348, 1998, 2787, 2000, 3857, 2010, 2219, 2983, 2012, 12170, 9126, 2121, 2012, 1996, 2173, 2059, 2170, 1000, 11810, 27266, 9953, 1000, 1012, 12170, 9126, 2121, 1010, 2295, 1037, 6576, 1997, 1996, 22794, 2099, 5532, 1010, 2001, 2641, 2019, 18128, 2006, 1996, 3119, 2799, 2090, 2430, 4021, 1998, 1996, 14288, 3023, 2144, 2009, 2018, 11706, 3500, 2300, 4216, 1012, 12170, 2912, 1521, 1055, 2171, 2001, 2947, 26610, 2000, 1996, 12170, 9126, 2121, 2103, 2004, 2092, 2004, 2000, 1996, 2059, 2110, 1997, 12170, 9126, 2121, 1006, 1523, 1996, 4093, 1997, 12170, 2912, 1524, 1007, 2008, 2002, 2511, 1012, 1996, 2381, 1997, 12170, 9126, 2121, 1998, 1996, 3481, 2306, 2009, 2947, 2707, 2007, 12170, 2912 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0000020494747423951062, 0.004279336533761982, 0.00003557736051044664, 0.0035989873393113088, 0.0042701366414124, 7.810649567214012e-7, 0.010002227268885847, 0.0007831343641657037, 0.0002518025036175262, 0.0004222015948812855, 0.023592513942515686, 0.000025588604971108097, 0.0007249336354873245, 0.04383219978202462, 0.00010133104081276502, 0.00020438735569426494, 0.012077232702672663, 0.0005690863232534299, 0.021565389051731523, 0.0003363054429628165, 0.02839113391803909, 0.010770022441120254, 0.01822648098397822, 0.03745176658556461, 0.04218148829614718, 0.03100753632328196, 0.000014682420725378665, 0.0016653025414101307, 0.05303729747015415, 0.16344957595709905, 0.03761799347390578, 0.005205028580108794, 0.0007776590420725683, 0.018187512965045585, 0.00007257063674345301, 0.00002222545430621953, 0.00027278950467981563, 0.008480234606722523, 0.000020330516050274504, 0.1495547494688864, 0.00001372202892765731, 0.06417079864754718, 0.027831342975504752, 0.030913291758730848, 0.00009059714895760917, 0.00013099072395120456, 0.057141734796348966, 0.058325075072777254, 0.00001817895619361844, 0.02828268467664769 ]
[ 1012, 2009, 2001, 2069, 2055, 2531, 2086, 2101, 2008, 12170, 9126, 2121, 1521, 1055, 18023, 17893, 2104, 10164, 15547, 5960, 4478, 1010, 1996, 4369, 7786, 1997, 12170, 9126, 2121, 1010, 2040, 5451, 2013, 17403, 2487, 2000, 28769, 1012, 2076, 1996, 17877, 3400, 1521, 1055, 3627, 1999, 1996, 2406, 1010, 2002, 3970, 1996, 10514, 6290, 22325, 2100, 1997, 1996, 17877, 2015, 1998, 2218, 1037, 2152, 2597, 1997, 2019, 2390, 2236, 1999, 1996, 2457, 1997, 3750, 20730, 1998, 2010, 2365, 3750, 14855, 18003, 4313, 1012, 2010, 3144, 2162, 20397, 2011, 2126, 1997, 3045, 2431, 1997, 2033, 9028, 2983, 2180, 2032, 27447, 1998, 19054, 2013, 1996, 17877, 19655, 1012, 2002, 2001, 12785, 1996, 14855, 5856, 2869, 1006, 4915, 1007, 1997, 14288, 1998, 20934, 25032, 2319, 5311, 1012, 2007, 1996, 2312, 6599, 3687, 2013, 2122, 14855, 5856, 2869, 1010, 2002, 2328, 1996, 12022, 16098, 25032, 3481, 2006, 1037, 5810, 2455, 1010, 2029, 2038, 2019, 2779, 6678, 1997, 24643, 2519, 1006, 11816, 1049, 1007, 1012, 1996, 5337, 3192, 5103, 2005, 1996, 3481, 2001, 2218, 2006, 2459, 2337, 17696, 2683, 1998, 1996, 3481, 2001, 2949, 2006, 2459, 2254, 18914, 2549, 1012, 10164, 15547, 5960, 4478, 1010, 2001, 2019, 6739, 1999, 2840, 1998, 4294, 1998, 1996, 3716, 2008, 2002, 3734, 2076, 2010, 2195, 2061, 23099, 6826, 2015, 2000, 2195, 3032, 2024, 23713, 2135, 7686, 1999, 1996, 3365, 10490, 2002, 2328, 1999, 1996, 12022, 16098, 25032, 3481, 1012, 2947, 1996, 3481, 1010, 1037, 12490, 3252, 1010, 2150, 2019, 5151, 2742, 1997, 4294, 1998, 1037, 4310, 2803, 1997, 2396, 1010, 17171, 1996, 22794, 2099, 5532, 1012, 102, 101, 13173, 2078, 5960, 2040, 5451, 2013, 17867, 2487, 2000, 17867, 2683, 1010, 2104, 1996, 10514, 6290, 22325, 2100, 1997, 1996, 17877, 2015, 1010, 2328, 1996, 13173, 2078, 27913, 4186, 1012, 2101, 11117, 2794, 2062, 8158, 1998, 14529, 2000, 2023, 27913, 1012, 2019, 6279, 5960, 1010, 2040, 5451, 2013, 18610, 2683, 1516, 5818, 1010, 2081, 6937, 13134, 2000, 1996, 3481, 3375, 1010, 2007, 2047, 22763, 1998, 1996, 16729, 5162, 4284, 1006, 2548, 13160, 2005, 3801, 1007, 1012, 2002, 18662, 1996, 13173, 2078, 27913, 2007, 1037, 4487, 7447, 1030, 1011, 1030, 1045, 1030, 1011, 1030, 2572, 1006, 2270, 4378, 2534, 1007, 1998, 2170, 2009, 1996, 2019, 6279, 27913, 1012, 11721, 3501, 5960, 2040, 5451, 2013, 24507, 2000, 16057, 18662, 1996, 16469, 27913, 1006, 1996, 4231, 4186, 1007, 1012, 2206, 2032, 1010, 7505, 4017, 5960, 5451, 2013, 16057, 2000, 11517, 1998, 2002, 22689, 2135, 7429, 1996, 4378, 2534, 1006, 2156, 3861, 1999, 18558, 3482, 1007, 2007, 3221, 1998, 17133, 6773, 6198, 1012, 29328, 2906, 5960, 2040, 21236, 2013, 7572, 2000, 6837, 2328, 1996, 2919, 2389, 27913, 1006, 1996, 4633, 4186, 1007, 2315, 2061, 1999, 3193, 1997, 1037, 4169, 1997, 4634, 4542, 1998, 8044, 1006, 1037, 4678, 2724, 1999, 17511, 12170, 9126, 2121, 1007, 1012, 28646, 5960, 2040, 5451, 2013, 6837, 2000, 3826, 2328, 1996, 28646, 9152, 17311, 4186, 1010, 2029, 2038, 7626, 2012, 1996, 4211, 19404, 1012, 2023, 4186, 2001, 2881, 2011, 2909, 5212, 25430, 27028, 6213, 1012, 28646, 5960, 1521, 1055, 2365, 6517, 5313, 5960, 4594, 2010, 2269, 1999, 3826, 2021, 16222, 19082, 2000, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00013805961195452254, 0.005718285308794095, 0.00009288298606137675, 0.004935307399037344, 0.0011192754029753017, 0.012462430361198361, 0.03500855570747228, 0.0006575934271308044, 0.0004775457485996048, 0.028364922901042474, 0.09507858664903436, 0.02108205326635984, 0.0004449574930525775, 0.0003498217249173609, 0.011846417759629824, 0.0012573418097048116, 0.0029711325895806708, 0.0020610703914690476, 0.04721646458831506, 0.00014145324999427378, 0.040125803315786315, 0.050127146355684125, 0.0003609714329414533, 0.10325360734257186, 0.03527244296457414, 0.00006274095732981857, 0.01589299363023916, 0.000010755084799250202, 0.04694228057028126, 0.015552684825493998, 0.003936813036450374, 0.10678245773368064, 0.02457443234136271, 0.00347324297844328, 0.0020175537792216742, 0.0020377460086012855, 0.053935631987213434, 0.07409108747893918, 0.014381417936868913, 0.000043965926903663466, 0.0007322388165142421, 0.0804899286426791, 0.000965081696152486, 0.04603090357378118, 0.004522159588887161, 0.00006511781346297678, 0.0021616127224182847, 0.0004487767222622501, 7.0615833623454615e-9, 0.00028423929854856503 ]
[ 2586, 1997, 2634, 1999, 4085, 1012, 2002, 2351, 1999, 3925, 1012, 102, 101, 12170, 9126, 2121, 2234, 2104, 1996, 10514, 6290, 22325, 2100, 1997, 1996, 2329, 11948, 2104, 1037, 5036, 1997, 11734, 5666, 2772, 1999, 12094, 1010, 2073, 2044, 1996, 21609, 2015, 1997, 12170, 9126, 2121, 11241, 4600, 2006, 25416, 3126, 18477, 12053, 2037, 12022, 16098, 25032, 3481, 1012, 2174, 1010, 2076, 1996, 4985, 2301, 1010, 2077, 2023, 5036, 2001, 2772, 1010, 2045, 2001, 25204, 28191, 2063, 2162, 2090, 11117, 1997, 12170, 9126, 2121, 1998, 8183, 16425, 5311, 1998, 2036, 5921, 2060, 22794, 18569, 1010, 2029, 2001, 2404, 2091, 2011, 1996, 2329, 3629, 1012, 2009, 2003, 2988, 2008, 2076, 1996, 2886, 2011, 8183, 16425, 5311, 2390, 1010, 1997, 1996, 2048, 18084, 2000, 1996, 3481, 1006, 2028, 1999, 1996, 2264, 1998, 1996, 2060, 1999, 1996, 2225, 1007, 1010, 1996, 2789, 4211, 1998, 1996, 2670, 13276, 8445, 2020, 5591, 1025, 6017, 1997, 8854, 18510, 5045, 2024, 2464, 2006, 1996, 2670, 8508, 1997, 1996, 3481, 1012, 102, 101, 28646, 5960, 2001, 1996, 2190, 1030, 1011, 1030, 2124, 2332, 2426, 1996, 16815, 12000, 1012, 1037, 8837, 1997, 1996, 2329, 11948, 1010, 2002, 3687, 1996, 2516, 1997, 5000, 3474, 1997, 1996, 2732, 1997, 2634, 1012, 2002, 2366, 2004, 1037, 2266, 1997, 1996, 4461, 2162, 5239, 1010, 3421, 1996, 2406, 2012, 1996, 4461, 2034, 2088, 2162, 9281, 1998, 1996, 2329, 3400, 2012, 1996, 18346, 3521, 3034, 1998, 2001, 5204, 1997, 1996, 5670, 1997, 18023, 1999, 1996, 2088, 2162, 2462, 2021, 2351, 1999, 3826, 1010, 2077, 1996, 2162, 2001, 2180, 2011, 1996, 6956, 1012, 2010, 6691, 2000, 1996, 2311, 4023, 1999, 12022, 16098, 25032, 2920, 3584, 9873, 2005, 2270, 1998, 2797, 4378, 1999, 1996, 28646, 27913, 1998, 1037, 4241, 28483, 2099, 2534, 2005, 5337, 4972, 1012, 1996, 2534, 2073, 2002, 2218, 2010, 3585, 13078, 2004, 1037, 7786, 1997, 12170, 9126, 2121, 2003, 2085, 1037, 2688, 1012, 2002, 2036, 2288, 1037, 2047, 4186, 1011, 2167, 1997, 12022, 16098, 25032, 3481, 1011, 2881, 1998, 2328, 2011, 25430, 27028, 1010, 1996, 2353, 1997, 1996, 2047, 22763, 2328, 1999, 12170, 9126, 2121, 1998, 2315, 2009, 21348, 13484, 4186, 1999, 1996, 2171, 1997, 2010, 2269, 1998, 5429, 2010, 5039, 2013, 12022, 16098, 25032, 3481, 2000, 2023, 4186, 1999, 5774, 1012, 1996, 2548, 2155, 2145, 3268, 1999, 1037, 2569, 7621, 1999, 1996, 21348, 13484, 4186, 1010, 2029, 2027, 2031, 4991, 2046, 1037, 4348, 3309, 1012, 102, 101, 102, 101, 1027, 1027, 5090, 1027, 1027, 102, 101, 102, 101, 1996, 5090, 2328, 2306, 1996, 12022, 16098, 25032, 3481, 2024, 1996, 22763, 1998, 8436, 1010, 2029, 2024, 2081, 1997, 2417, 11694, 1006, 4241, 23398, 2050, 1007, 1998, 7720, 1012, 1996, 22763, 2024, 2649, 2004, 23273, 2007, 2037, 26285, 1997, 10119, 2015, 1010, 28352, 8663, 3111, 1010, 11382, 2891, 5705, 1998, 3645, 1012, 1996, 3481, 1010, 1996, 8436, 1998, 1996, 22763, 2024, 6560, 2004, 9941, 1998, 3073, 12369, 2046, 1996, 2882, 10735, 2063, 2542, 2806, 1997, 1996, 2627, 24404, 16737, 2015, 1997, 16815, 1012, 1996, 3481, 2003, 2170, 1523, 1037, 20506, 2090, 5781, 2510, 4294, 1998, 3376, 4592, 11446, 1524, 1012, 102, 101, 102, 101, 1027, 1027, 1027 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0 ]
[ 0.0001939904516137868, 0.14964313855489217, 0.00020084867791533747, 8.095986010137073e-9, 0.006139901365651096, 0.00008443808990748014, 0.009555879032940537, 0.009596291443751216, 0.018819709114387875, 0.015843325314288177, 0.0015031170346091374, 0.0005064529579493946, 0.022036328015598697, 0.00005452554234420826, 0.008239537474403319, 8.095986010137073e-9, 0.043502965913561696, 0.016274416449101946, 0.023784054095603534, 0.039025011977528785, 0.000053734389097165414, 0.0388928248398649, 0.001887276565094335, 0.008039084222738857, 0.0015123196111286672, 0.0015902023364404733, 8.095986010137073e-9, 0.00000890847253228915, 0.02595916885993777, 0.0021452335421734037, 0.023166649789766083, 0.00007972183211423795, 0.09912583868147855, 0.011028243235523594, 0.017187334043089066, 0.000293561747782016, 0.14372821956954165, 0.07018788310004197, 0.04747340188201666, 0.00002378997530483561, 0.007137834217720368, 0.0002287660958913965, 0.0019157789642506033, 0.003040429931346787, 0.029442612803010162, 0.005532725777996035, 0.0003710939884493299, 0.0005355424166029495, 0.09440785521907338, 8.095986010137073e-9 ]
[ 19184, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 5294, 3481, 2328, 1999, 1996, 8575, 1997, 12170, 9126, 2121, 2038, 1037, 10806, 1006, 17718, 24388, 7934, 1007, 9621, 2007, 1037, 15965, 3091, 1997, 1015, 1030, 1010, 1030, 5718, 2620, 4210, 1006, 5818, 2575, 1049, 1007, 1012, 1996, 3481, 3681, 2024, 2403, 1030, 1012, 1030, 1019, 2519, 1006, 1018, 1030, 1012, 1030, 1018, 1049, 1007, 2898, 1998, 2871, 2519, 1006, 2260, 1049, 1007, 1999, 4578, 1012, 2009, 13974, 2019, 2181, 1997, 6191, 1030, 1010, 1030, 13285, 2675, 4210, 1006, 1019, 1030, 1012, 1030, 2654, 5292, 1007, 1012, 2009, 2001, 5129, 2011, 1037, 25266, 2029, 2001, 2322, 1516, 2423, 2519, 1006, 1020, 1030, 1012, 1030, 1015, 1516, 1021, 1030, 1012, 1030, 1020, 1049, 1007, 2784, 2007, 1037, 2918, 9381, 1997, 2321, 2519, 1006, 1018, 1030, 1012, 1030, 1020, 1049, 1007, 1998, 2327, 9381, 1997, 2382, 2519, 1006, 1023, 1030, 1012, 1030, 1015, 1049, 1007, 1012, 2174, 1010, 1996, 25266, 2053, 2936, 6526, 1012, 1996, 3481, 2003, 2092, 13313, 2007, 4261, 26829, 2015, 1006, 1520, 20934, 2099, 3501, 1521, 1999, 2334, 2653, 1007, 1998, 2698, 6733, 1006, 2048, 2024, 2364, 6733, 1007, 2000, 4675, 4099, 4491, 1012, 1996, 3481, 2001, 2328, 2004, 1037, 1523, 2047, 16995, 1524, 2648, 1997, 1996, 8435, 1997, 2019, 2214, 3481, 2328, 2011, 10546, 12170, 2912, 1998, 2006, 1996, 23275, 1997, 1996, 12170, 9126, 2121, 2103, 3681, 1006, 1015, 1030, 1012, 1030, 1019, 3717, 1006, 1014, 1030, 1012, 1030, 6109, 2771, 1007, 2013, 1996, 2103, 2803, 1007, 1025, 1996, 2214, 3481, 2001, 7002, 1037, 2301, 2044, 2009, 2001, 2328, 1012, 102, 101, 1996, 3481, 2007, 2698, 6733, 3397, 2195, 22763, 1010, 10531, 2015, 1998, 2116, 8436, 1997, 7560, 1998, 17136, 11822, 1011, 1996, 5700, 6052, 2000, 1996, 5767, 2301, 1012, 1037, 2350, 3444, 1997, 1996, 3481, 2003, 1996, 2962, 18441, 2589, 1999, 2417, 1998, 2751, 11401, 11694, 2015, 1012, 1996, 20769, 1997, 1996, 22763, 2024, 7429, 1998, 4993, 1999, 3151, 16815, 2072, 2806, 1012, 1996, 12022, 16098, 25032, 22763, 2031, 1037, 2312, 2193, 1997, 4734, 1010, 2004, 2296, 2332, 2328, 2010, 2219, 3584, 2275, 1997, 4734, 1010, 2025, 5782, 2000, 2444, 1999, 2010, 16372, 1521, 4734, 1012, 2122, 5090, 2020, 2641, 2004, 1523, 2012, 11968, 2007, 2216, 1997, 3434, 1521, 1055, 2605, 2030, 1997, 4461, 3607, 1524, 1012, 2195, 4127, 1997, 6549, 2806, 2024, 5860, 11795, 2098, 1999, 1996, 3481, 3375, 1998, 6516, 2009, 2003, 2170, 1037, 2995, 15921, 1997, 12490, 3226, 1012, 1996, 5700, 2806, 2003, 1997, 11948, 18780, 4294, 1010, 4225, 2011, 26428, 1998, 17877, 6549, 3747, 10842, 1996, 2523, 2007, 17877, 11117, 1010, 1996, 2117, 2828, 2003, 1997, 4100, 1030, 1011, 1030, 2530, 4294, 10842, 2329, 3747, 1010, 1998, 2633, 1996, 6308, 5130, 11948, 18780, 4294, 2008, 7964, 3391, 2076, 1996, 3627, 1997, 21609, 28646, 5960, 1012, 2069, 1996, 2087, 4387, 1997, 2035, 2122, 6549, 6782, 2024, 2006, 4653, 2005, 5731, 1012, 2947, 1010, 1996, 4310, 10490, 2006, 4653, 1999, 1996, 12022, 16098, 25032, 3481, 5050, 7032, 11165, 8213, 1997, 1996, 11117, 1997, 12170, 9126, 2121, 1010, 3225, 2013, 1996, 2203, 1997, 1996, 5767, 2301, 1012, 102, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0.00003742415213500022, 0.0010675739633831738, 0.0981665036030097, 0.08440249281083016, 0.002744490412025978, 0.03887473004458117, 0.012201219816817556, 0.000016825276542410806, 0.00021538439903598204, 0.023569899631390757, 0.0013638152084311233, 0.000015500689606075193, 0.000008373178311226122, 0.00007431891316434728, 0.00003838588578222799, 0.03702139753962168, 0.021088793629801414, 0.000007274644319469205, 0.00003918997146291102, 0.00001075035992334009, 0.041036326287332905, 0.04656672284778642, 0.00012372311221517485, 0.06636176042303885, 0.026551005356259788, 0.000007699982237685351, 0.00001814346263341237, 0.000052022523313496165, 0.014735667631701624, 0.0010477599183696467, 0.05957597393700148, 0.00621774301683727, 0.0004781488747243191, 0.0016763870632529787, 9.753984990568974e-9, 0.14212503384622693, 0.024125754231974054, 0.005908028269462471, 9.753984990568974e-9, 0.00907155522753621, 0.007770483662138999, 0.01755847041312715, 0.0014721695152148603, 0.007223954611242995, 0.00033911762483443327, 0.00003795158223237591, 0.0011459194471011229, 0.13892662982956155, 0.05888147391051117, 9.753984990568974e-9 ]
[ 6733, 102, 101, 2096, 1996, 2364, 4443, 4796, 2001, 13173, 2078, 14955, 2030, 17393, 1010, 5307, 2264, 1010, 1996, 2783, 4796, 1997, 4443, 2003, 2170, 7505, 13006, 14955, 1006, 3574, 1996, 3103, 4796, 1007, 1010, 1005, 14955, 1005, 2036, 23992, 11867, 20042, 4013, 2140, 1010, 2328, 1999, 2751, 11401, 2030, 3756, 11694, 1010, 4406, 1996, 2060, 6733, 1998, 3121, 2328, 1999, 2417, 11694, 1012, 2009, 2003, 1996, 2264, 5307, 4796, 24523, 1996, 4803, 3103, 1521, 1055, 9938, 2000, 2991, 2006, 1996, 4796, 1010, 2029, 2003, 2641, 1037, 2204, 18168, 2368, 1012, 1996, 4303, 1997, 2023, 4796, 2024, 13949, 2007, 3707, 19547, 1998, 16054, 2015, 2000, 4652, 8223, 6562, 2011, 16825, 2076, 2019, 2886, 1012, 2012, 1996, 4211, 2000, 1996, 4796, 1010, 2048, 2417, 2962, 11342, 1997, 16825, 2007, 5003, 6806, 16446, 3233, 2004, 16074, 2015, 1012, 1996, 4796, 2001, 2036, 1996, 3295, 2005, 13856, 1996, 5508, 1998, 6712, 1997, 16664, 2011, 5389, 2652, 1996, 9368, 2013, 1037, 3916, 1999, 1996, 4796, 1012, 1996, 2060, 6733, 2024, 13173, 2078, 14955, 1010, 4830, 7068, 2102, 14955, 1010, 9212, 2094, 14955, 1006, 1037, 3313, 4796, 1007, 1998, 6580, 2232, 14955, 1025, 2122, 3024, 3229, 2000, 2536, 10490, 1999, 1996, 3481, 1012, 1996, 13173, 2078, 14955, 4796, 2003, 2036, 15515, 2007, 3707, 19547, 2000, 4652, 23801, 2075, 1997, 1996, 4796, 2011, 16825, 1012, 2000, 1996, 2157, 1997, 2023, 4796, 2003, 4830, 7068, 2102, 14955, 1012, 5659, 1030, 1011, 1030, 2028, 2192, 15738, 2015, 2024, 2464, 2006, 1996, 4830, 7068, 2102, 14955, 4796, 2813, 1010, 1999, 2417, 6120, 1010, 1997, 1996, 10403, 1997, 1996, 21609, 2015, 1997, 12170, 9126, 2121, 1010, 2040, 5462, 2938, 2072, 1006, 2969, 10047, 5302, 13490, 1007, 2006, 1996, 6715, 1052, 16363, 2015, 1997, 2037, 19089, 2040, 2351, 1999, 2645, 1012, 102, 101, 2090, 1996, 2364, 4796, 1998, 1996, 4186, 1010, 2045, 2003, 1037, 17718, 21476, 1010, 1998, 2059, 2178, 4796, 2170, 1996, 21841, 2050, 4796, 1006, 6420, 11909, 1007, 2077, 3229, 2075, 1996, 2548, 8477, 1012, 2279, 2000, 2023, 4796, 2003, 1037, 2235, 3379, 2170, 1996, 5292, 2099, 22700, 1010, 2073, 1996, 2548, 2155, 2109, 2000, 3749, 7425, 1012, 1999, 1996, 17718, 21476, 1010, 2029, 3506, 1037, 2312, 10531, 2007, 1037, 2300, 4770, 2328, 1999, 12385, 5400, 3059, 7720, 1012, 1996, 13173, 2078, 27913, 1010, 2073, 2270, 4378, 2001, 2218, 1999, 1996, 4487, 7447, 1030, 1011, 1030, 1045, 1030, 1011, 1030, 2572, 2011, 13173, 2078, 5960, 1006, 17867, 2487, 1516, 4464, 1007, 1998, 2010, 18530, 6229, 1996, 3983, 2301, 1010, 2064, 2036, 2022, 2464, 1999, 1996, 2168, 17718, 21476, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 8436, 1027, 1027, 1027, 102, 101, 102, 101, 5292, 2099, 22700, 3379, 2001, 1996, 2548, 4970, 1011, 2797, 3379, 1997, 1996, 2548, 2155, 1012, 1996, 2548, 2155, 6334, 1996, 7560, 2782, 1997, 4241, 18116, 2050, 1998, 28646, 3126, 2182, 1010, 4237, 2013, 12964, 2060, 2155, 4972, 2107, 2004, 5798, 2015, 1998, 12743, 1012, 1999, 1996, 4241, 18116, 2050, 12035, 1010, 4255, 1998, 5194, 2020, 22876, 2182, 1012, 1996, 2364, 17091, 22876, 1999, 2023, 3379, 2024, 1996, 7560, 17091, 21352, 24331, 1010, 1037, 4117, 6630, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.059604674406627416, 0.00006130539037314171, 0.00039177712286754524, 0.0488120274127902, 0.03129125861451891, 0.0004285704020995581, 0.015298798014171175, 0.09332311982046548, 0.000009322634123781676, 0.00009184845756109821, 0.0016387266149487769, 0.06381346437874971, 0.000009513567734845549, 0.02416468204786445, 0.010449076123287972, 0.025186469709926745, 0.00006908222609841125, 0.008364349710691823, 0.0022621241569433428, 0.00005970487876301327, 0.020280739822360876, 0.00028611294257470106, 0.00011281576281993512, 8.314822459833057e-9, 0.04901105953913479, 0.00003107856215547924, 0.008007743898084695, 0.05932212136565063, 0.09175567144086609, 0.0002406119669156621, 0.029044973619631115, 0.010019589354540677, 0.0016843571895545607, 0.06464754025769688, 0.002332265608737479, 0.06702203213580807, 0.013803035028816968, 0.004369142048853953, 0.0012066964362908628, 0.00010827997309590321, 0.0006185907084901607, 0.013795472428894166, 0.05512110109339782, 0.05219440560029658, 0.016190175042298038, 0.00023404253163033042, 0.008657849548261333, 0.04325263233898493, 8.314822459846284e-9, 0.0013199514339049857 ]
[ 2643, 17647, 1998, 2010, 13440, 21352, 1012, 102, 101, 1996, 9350, 2319, 2022, 18428, 3379, 2284, 2379, 1996, 12022, 16098, 25032, 3481, 1010, 2001, 2328, 1999, 9244, 2011, 1996, 4985, 7786, 1997, 12170, 9126, 2121, 1012, 2009, 2001, 2328, 1999, 11424, 1030, 1011, 1030, 17877, 6549, 2806, 2478, 2317, 7720, 1012, 1996, 7560, 2643, 10871, 2003, 14866, 10451, 1999, 2023, 3379, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 22763, 1027, 1027, 1027, 102, 101, 102, 101, 13173, 2078, 27913, 1006, 2270, 4378, 2534, 1007, 2001, 2328, 2011, 13173, 2078, 5960, 1999, 1039, 1012, 24621, 2000, 2928, 2010, 3377, 2058, 1996, 17877, 3750, 15240, 3070, 4371, 2497, 1012, 2009, 2003, 2641, 2004, 2028, 1997, 1996, 2087, 19401, 22763, 2328, 2007, 5822, 1010, 2029, 8834, 1996, 12465, 12411, 5332, 14680, 1997, 1996, 16664, 1997, 16815, 1012, 2009, 2038, 9702, 3221, 3645, 1998, 17796, 2135, 7844, 28352, 8663, 3111, 2328, 1999, 2962, 1998, 3536, 8928, 2094, 7753, 1012, 2101, 10164, 2015, 1010, 2019, 6279, 5960, 1998, 7505, 4017, 5960, 1010, 2036, 2794, 2843, 1997, 27566, 2000, 2023, 4186, 2007, 1999, 24393, 26572, 20366, 3221, 1010, 17796, 5259, 7060, 1010, 1998, 2417, 1998, 2751, 6773, 1012, 1999, 1996, 12773, 4574, 1010, 2045, 2003, 1037, 5370, 2094, 2039, 2632, 3597, 3726, 1010, 2029, 2001, 2109, 2004, 1037, 6106, 1012, 102, 101, 6887, 13669, 27913, 1006, 1000, 6546, 4186, 1000, 1007, 2003, 1996, 4587, 2112, 1997, 1996, 4186, 1998, 2001, 2328, 2011, 2332, 10164, 15547, 5960, 1997, 12170, 9126, 2121, 1010, 2040, 5451, 2090, 17403, 2487, 1030, 1011, 1030, 18610, 2620, 1012, 102, 101, 2019, 6279, 27913, 2003, 1037, 4800, 1030, 1011, 1030, 11676, 3252, 1010, 2029, 20903, 2004, 1996, 3831, 4075, 1997, 1996, 2983, 1012, 2009, 2038, 18099, 4799, 21098, 2007, 1999, 24393, 13536, 1010, 3059, 13262, 1010, 1998, 2986, 17779, 3645, 1998, 28352, 8663, 3111, 1012, 2009, 2038, 2070, 2751, 7053, 5265, 1012, 2009, 2003, 2641, 2004, 2028, 1997, 1996, 1523, 9026, 3367, 2810, 1524, 1012, 102, 101, 16469, 27913, 2038, 1996, 2087, 20783, 2282, 1999, 1996, 4186, 1010, 2029, 3506, 2751, 5127, 2094, 17091, 1998, 5265, 1999, 24393, 2007, 9062, 6386, 1012, 1999, 1996, 2548, 5010, 1010, 13536, 2031, 2042, 23972, 2872, 2061, 2008, 1996, 21609, 2071, 2156, 2013, 2010, 2793, 1010, 2151, 22841, 5738, 2010, 2282, 1012, 102, 101, 28646, 27913, 2001, 2328, 1999, 1996, 3983, 2301, 2011, 28646, 5960, 2040, 21236, 2005, 5179, 2086, 2013, 6837, 2000, 3826, 1010, 2038, 1037, 2312, 4241, 28483, 2099, 2534, 2124, 2004, 1996, 28646, 5960, 2534, 2008, 3506, 1996, 2688, 1012, 1996, 2688, 2038, 10637, 1997, 2162, 22711, 1998, 2036, 1037, 2088, 2162, 1045, 18440, 11751, 1006, 28686, 1007, 1010, 2029, 2003, 3090, 2000, 2022, 2092, 5224, 1012, 102, 101, 2919, 2389, 27913, 1006, 1996, 4633, 4186, 1007, 2003, 2112, 1997, 1996, 2019, 6279, 27913, 14305, 1012, 2009, 2038, 5265, 1997, 2016, 15256, 24281, 2072, 24654, 19422, 7716, 9058, 7079, 17475, 2000, 1996, 21609, 1997, 12170, 9126, 2121, 1999, 2367, 4127, 1997, 10722, 28483, 3619, 1012, 7760, 1997, 2111, 3061, 2006, 10063, 1010, 3536, 1010, 10689, 1998, 2387, 2015, 2024, 2036, 8212, 2182, 1516, 1037, 4653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0017721823397663468, 0.000029997292441080938, 0.005762249780967705, 7.185916179162928e-9, 1.4378507579804045e-7, 0.13037010450156594, 0.08917200147827527, 0.000022439669835517968, 0.00016463002757881464, 0.0021785495751973707, 0.00018990974805402371, 0.016603963500506882, 0.0002110107108785746, 0.0023720871880679784, 0.00008332032172480032, 7.185916179162928e-9, 0.04572204387935699, 0.01163736672287448, 0.015302479073547804, 0.000041889425984548964, 7.185916179162928e-9, 0.055259708990195215, 0.011766629638541226, 0.03203977577629204, 0.027976566637680885, 0.00000990410113486334, 3.9911945276986477e-8, 0.021921931319642703, 0.0716768705984722, 0.00008709027525241608, 0.0000049055144964360415, 0.08112677645682485, 0.0002658601694652556, 0.12933606007496948, 0.0015382016411846027, 0.0018217806665764991, 0.0006093603463191654, 7.1859161791663036e-9, 0.000480319119380975, 0.000018662970398021075, 0.024607295940474484, 0.0002572924747349481, 0.10077077439261864, 0.0007522701478755221, 0.08465440690006681, 0.000027123174110331575, 0.00043345535856032094, 0.0020828813306094504, 0.0010107970528662816, 0.027826861253946435 ]
[ 1997, 4752, 1998, 14280, 1012, 1996, 3681, 1999, 2023, 4186, 17120, 26991, 5265, 1997, 1996, 7560, 2643, 10871, 1998, 2010, 13440, 26498, 17171, 1996, 4542, 8044, 1012, 102, 101, 12170, 9126, 11124, 2031, 11983, 2284, 2119, 2306, 1998, 2648, 1996, 3481, 1999, 1996, 12170, 9126, 2121, 2103, 1521, 1055, 2011, 10914, 2024, 2036, 1997, 4310, 6549, 2806, 1999, 2188, 4294, 1012, 28163, 2271, 15876, 20959, 2040, 4716, 2122, 2031, 6856, 7283, 2056, 1523, 2027, 2024, 1996, 6620, 1997, 12170, 9126, 2121, 1012, 1524, 102, 101, 102, 101, 1027, 1027, 3481, 2688, 1027, 1027, 102, 101, 102, 101, 1996, 2688, 2306, 1996, 3481, 2170, 1996, 12022, 16098, 25032, 3481, 2688, 2001, 2511, 1999, 3777, 2011, 21609, 2852, 1012, 10556, 6826, 2072, 5960, 4478, 2104, 1996, 2491, 1997, 1000, 21609, 15547, 5960, 4478, 3404, 1000, 1012, 1996, 2688, 10637, 11353, 1998, 4723, 10485, 1010, 12973, 5265, 1010, 15565, 1010, 2548, 12703, 1010, 3888, 6962, 1006, 2548, 4449, 1007, 1010, 6533, 11726, 1010, 12703, 1010, 2132, 3351, 2906, 1998, 14464, 1997, 5932, 1521, 24438, 1010, 29484, 8059, 1010, 3165, 1010, 14412, 2319, 12519, 2015, 1010, 2129, 18417, 2015, 1998, 2162, 3846, 1012, 1996, 2688, 2036, 8834, 12371, 2100, 2008, 3774, 1997, 2028, 1997, 1996, 4632, 15613, 3074, 1997, 2695, 5781, 2608, 1012, 102, 101, 21609, 15547, 5960, 4478, 3404, 102, 101, 21609, 15547, 5960, 4478, 3404, 2038, 2042, 2275, 2039, 2011, 1996, 1005, 2548, 2155, 1997, 12170, 9126, 2121, 1005, 2007, 1996, 3937, 7863, 2000, 13398, 1996, 3481, 2007, 2658, 20407, 1999, 2536, 2752, 1998, 2000, 5335, 1996, 3325, 2005, 5731, 1012, 2178, 7863, 2003, 2000, 5326, 2495, 1998, 2470, 15691, 1010, 3451, 3450, 1010, 4292, 2039, 1997, 8860, 1998, 8346, 2007, 2060, 2107, 20278, 1012, 102, 101, 102, 101, 102, 101, 1027, 2645, 1997, 25527, 1030, 1011, 1030, 15544, 27087, 2015, 1027, 102, 101, 102, 101, 1996, 2645, 1997, 25527, 1030, 1011, 1030, 15544, 27087, 2015, 1006, 2093, 5485, 1999, 2394, 1007, 2001, 4061, 2006, 2238, 1022, 1010, 13963, 1010, 2076, 1996, 2137, 6208, 2162, 1012, 1037, 2329, 2390, 2104, 5447, 3099, 3124, 22273, 3249, 2019, 3535, 2011, 3197, 2013, 1996, 6803, 2390, 2104, 1996, 3094, 1997, 9900, 2236, 2520, 5953, 2000, 2644, 1037, 2329, 5083, 2039, 1996, 3002, 5623, 2314, 3028, 1012, 1996, 2645, 4158, 2004, 1037, 2112, 1997, 1996, 2137, 15526, 1005, 5274, 1997, 5447, 1010, 2029, 2018, 5625, 1999, 2244, 14276, 2007, 1996, 3125, 1997, 9268, 1996, 2874, 2013, 2329, 3627, 1012, 102, 101, 1996, 5153, 1997, 1996, 3002, 5623, 2011, 1996, 2137, 3629, 2001, 5159, 2011, 5447, 8396, 1010, 2040, 22333, 2329, 3629, 2012, 25527, 1030, 1011, 1030, 15544, 27087, 2015, 1012, 1037, 2334, 7500, 2419, 1996, 4841, 2046, 1037, 11963, 1010, 12067, 1996, 2329, 2000, 2455, 3176, 2749, 1999, 1996, 2352, 1010, 1998, 2000, 5323, 4460, 2369, 1996, 2137, 2390, 1012, 2044, 1037, 4766, 3863, 2090, 2019, 2511, 2329, 2240, 1998, 2137, 3629, 8361, 2013, 1996, 11963, 1010, 1996, 4841, 3631, 2046, 1037, 5399, 4487, 21748, 5289, 3550, 7822, 1012, 2004, 2070, 20859, 1997, 7822, 2020, 3013, 2125, 1010, 1996, 2329, 2165, 1037, 25908, 2193, 1997, 5895, 1010, 2164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.042404636823887135, 0.000025073595488637884, 0.006580131776909077, 0.04072884459344873, 0.0742666363528772, 0.022195213376518304, 0.0009716482886830839, 0.10829682749951183, 0.0000030987512877382624, 0.013759604956935737, 0.013505930969258612, 0.0012045567322326606, 0.07677866825566664, 0.0009624735594239225, 0.0007018286224244771, 0.00007187103925838539, 0.018361148248576566, 0.12072842495079548, 8.523100158360147e-9, 0.0022221215138453422, 8.523100158360147e-9, 0.026903145152588778, 0.0033247745626513625, 0.000019010024051617227, 0.000010816048927936312, 0.016991524960379097, 0.050422997126891855, 0.010736520719545886, 0.000032004764550068065, 0.00010398397118046156, 0.002457276446870296, 0.0035963640779723732, 0.002021235134371243, 0.0020963256432521824, 0.00008856961458549895, 0.00002473382372944469, 8.523100158360147e-9, 0.00003222003539269548, 0.03657442897841476, 0.0008634189862474001, 0.01873042425920377, 0.006888361438448351, 0.00035169994365975653, 0.010085569396597965, 0.000007372340472300044, 0.0010145630512456043, 0.07257539724225896, 0.08143796783076941, 0.0001174283987783279, 0.10872310055063263 ]