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
[ 2063, 1000, 16112, 1999, 1996, 2299, 1005, 1055, 2516, 1010, 2083, 1996, 10502, 1997, 2019, 4654, 20464, 8067, 3508, 2928, 1010, 2003, 2445, 4469, 7902, 2006, 2023, 2201, 3104, 1012, 1996, 2299, 2038, 2956, 1516, 2411, 2007, 1996, 2440, 2516, 1000, 7107, 19902, 999, 1006, 2057, 2035, 12342, 2006, 1007, 1000, 1516, 2006, 3365, 19086, 22754, 1010, 2164, 1996, 2198, 14294, 3074, 1006, 3196, 1007, 1010, 1996, 14294, 3482, 2275, 1006, 2901, 1007, 1010, 14294, 5722, 1006, 2722, 1007, 1010, 2551, 2465, 5394, 1024, 1996, 15764, 14294, 1006, 2384, 1007, 1998, 2373, 2000, 1996, 2111, 1024, 1996, 4978, 1006, 2230, 1007, 1012, 1000, 2040, 2038, 2464, 1996, 3612, 1029, 1000, 2596, 2004, 1037, 6781, 2650, 2006, 1996, 2722, 29431, 3683, 10521, 2278, 17173, 1997, 1996, 3232, 1005, 1055, 2353, 2201, 1997, 6388, 2189, 1010, 5030, 2201, 1006, 3440, 1007, 1012, 102, 101, 14294, 2209, 1000, 7107, 19902, 999, 1000, 2012, 2010, 2197, 2440, 1030, 1011, 1030, 3091, 4164, 2836, 1516, 1996, 2028, 2000, 2028, 5770, 3065, 2218, 2012, 7063, 2675, 3871, 1010, 2047, 2259, 1010, 2006, 2382, 2257, 3285, 1012, 2010, 5150, 2316, 11539, 1996, 2177, 10777, 1005, 1055, 3638, 1010, 1999, 2804, 2000, 21058, 1998, 7101, 3958, 17710, 7096, 3678, 1012, 1996, 3069, 2201, 1998, 2678, 2444, 1999, 2047, 2259, 2103, 3397, 1996, 5027, 2836, 1997, 1996, 2299, 1012, 102, 101, 1999, 2251, 2826, 1010, 1000, 7107, 19902, 999, 1000, 2001, 2128, 1030, 1011, 1030, 2207, 2004, 1037, 2309, 1999, 1996, 4549, 1010, 6153, 2011, 1000, 2821, 2026, 2293, 1000, 1012, 2761, 1010, 4809, 1997, 2009, 2020, 2445, 2185, 2007, 2220, 6572, 1997, 1996, 2198, 14294, 2678, 3074, 1012, 2043, 2207, 1999, 1996, 2717, 1997, 2885, 1006, 19820, 2075, 1996, 2866, 1007, 1010, 2023, 2309, 17173, 4227, 2048, 4469, 1038, 1030, 1011, 1030, 3903, 1024, 1000, 2388, 1000, 1998, 1000, 19994, 2017, 1000, 1012, 102, 101, 1997, 1996, 2048, 3359, 2327, 1997, 1996, 16949, 4616, 1010, 1996, 1000, 16091, 4003, 1000, 2544, 2596, 2006, 1996, 2198, 14294, 2678, 3074, 1999, 2255, 2826, 1010, 2096, 1996, 1000, 26098, 1000, 2836, 2001, 17574, 1998, 3668, 2005, 2713, 2006, 1996, 14294, 5722, 4966, 1006, 2494, 1007, 1012, 1996, 1000, 26098, 1000, 2544, 2001, 2036, 2443, 2006, 1996, 2494, 2866, 2309, 1000, 3407, 1060, 9335, 1006, 2162, 2003, 2058, 1007, 1000, 1010, 2207, 2006, 1022, 2285, 2008, 2095, 1012, 102, 101, 102, 101, 1027, 1027, 3104, 4617, 1998, 3451, 7604, 1027, 1027, 102, 101, 102, 101, 3324, 2040, 2031, 3139, 1000, 7107, 19902, 999, 1000, 2421, 21344, 1996, 4954, 11867, 16901, 3388, 1010, 2703, 2092, 2121, 1010, 22959, 22959, 1010, 9902, 2099, 2000, 5753, 2007, 24188, 2666, 20667, 1998, 2000, 3211, 2080, 3309, 1012, 1999, 2289, 1010, 1996, 2299, 3024, 1996, 2516, 2005, 16154, 2248, 1005, 1055, 4800, 1030, 1011, 1030, 3063, 6268, 1997, 14294, 9265, 1010, 7107, 19902, 1024, 1996, 16154, 2248, 3049, 2000, 3828, 18243, 27942, 1010, 2005, 2029, 23343, 2680, 1037, 3104, 2544, 1012, 102, 101, 1996, 2516, 1997, 4459, 2332, 1005, 1055, 5469, 3117, 1996, 9716, 1006, 3355, 1007, 2234, 2013, 14294, 1005, 1055, 2240, 1000, 2057, 2035, 12342, 2006, 1529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.004328612437649648, 0.00921619820653733, 0.00007012499757254444, 0.02047443077845354, 0.00032728989370258956, 0.00121216064676846, 0.01680116917270973, 0.001608382552713534, 0.035039252128335856, 0.000009020268996524677, 0.0003285298040060885, 0.002315227244119065, 0.022445229525452585, 0.00003373395960889912, 0.09817129213745532, 0.008220442336608926, 0.0015422003714434798, 0.15388470967188247, 0.06726004952811863, 0.00039299421062587966, 0.00641718713304439, 0.0000485095613984529, 0.07037286669249321, 0.023602862472655962, 0.00226973705749982, 0.0008190929260956283, 0.00010580892012404864, 0.0011031662420372143, 0.011035772109958, 0.05147855039422278, 0.0003982699357650546, 0.0002283010880009967, 0.023277268869998022, 0.008647829979025932, 0.0005130576691313622, 0.07949081084694323, 0.05108901027850435, 0.016660281877202535, 0.0000037461016483916804, 0.0294148803790066, 0.00021869818825615386, 0.0019228608554657251, 0.05380871350524962, 0.011225277421021803, 0.0465439203474436, 0.023673732946081067, 0.00004246378618849448, 0.024376996912663956, 0.017137896701370503, 0.00039137892874203337 ]
[ 1000, 2332, 2038, 2056, 2008, 2002, 2001, 2183, 2000, 2655, 1996, 2338, 1996, 12342, 1010, 2077, 27504, 2008, 1000, 12342, 1000, 2018, 2042, 2109, 2004, 1037, 4315, 18170, 7062, 2744, 2005, 2304, 2111, 1012, 102, 101, 1999, 2997, 1010, 21058, 3039, 1996, 3329, 16689, 1998, 26278, 2194, 18368, 2000, 3444, 1000, 7107, 19902, 999, 1000, 1999, 2019, 6475, 3049, 1010, 2044, 1037, 2270, 2041, 26775, 2100, 1996, 3025, 2095, 2018, 3140, 2014, 2000, 10632, 6656, 2005, 1996, 2224, 1997, 14294, 1005, 1055, 11555, 5512, 1000, 4329, 1000, 1012, 7107, 19902, 2636, 2001, 2315, 2044, 1996, 2299, 1010, 1998, 1996, 19091, 2970, 2680, 2037, 2650, 1000, 1045, 2123, 1005, 1056, 3305, 19902, 1000, 1999, 2268, 2004, 1037, 7514, 2000, 1000, 7107, 19902, 999, 1000, 102, 101, 102, 101, 1027, 1027, 5073, 1027, 1027, 102, 101, 102, 101, 1996, 2206, 5389, 5201, 2000, 1996, 3405, 1997, 1000, 7107, 19902, 999, 1000, 1024, 102, 101, 2198, 14294, 1516, 2599, 2955, 1010, 6490, 2858, 1010, 3682, 1010, 5150, 2955, 102, 101, 2577, 6676, 1516, 3751, 2858, 1010, 3682, 1010, 5150, 2955, 102, 101, 16536, 29536, 2953, 5804, 1516, 3321, 2858, 1010, 3751, 3682, 1010, 5150, 2955, 102, 101, 5070, 2317, 1516, 3846, 1010, 3682, 1010, 5150, 2955, 102, 101, 5006, 8475, 1516, 5812, 1010, 5150, 2955, 102, 101, 28758, 21058, 1516, 5150, 2955, 102, 101, 15451, 6473, 1516, 9610, 7834, 1010, 2192, 20464, 9331, 2015, 1010, 5150, 2955, 102, 101, 8104, 1516, 17214, 25127, 3170, 102, 101, 5297, 12555, 1998, 2195, 6474, 7065, 24038, 2015, 2013, 2414, 1005, 1055, 11300, 6582, 2252, 1516, 5150, 2955, 102, 101, 102, 101, 1027, 1027, 6093, 1998, 10618, 2015, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 2084, 3900, 19722, 2099, 1027, 102, 101, 102, 101, 2084, 3900, 19722, 2099, 1010, 3839, 9092, 5558, 2890, 1010, 2003, 1037, 2103, 1999, 1996, 2148, 2796, 2110, 1997, 6008, 10703, 1012, 2084, 3900, 19722, 2099, 2003, 2019, 2590, 2415, 1997, 2148, 2796, 4676, 1010, 2396, 1010, 1998, 4294, 1012, 2087, 1997, 1996, 2307, 2542, 16480, 2721, 8436, 1010, 2029, 2024, 12239, 2088, 4348, 10490, 1010, 2024, 2284, 1999, 1998, 2105, 2084, 3900, 19722, 2099, 1012, 1996, 16097, 2426, 2122, 1010, 1996, 7987, 19190, 9648, 2229, 11872, 3379, 1010, 2003, 2284, 1999, 1996, 2803, 1997, 1996, 2103, 1012, 2084, 3900, 19722, 2099, 2003, 2036, 2188, 2000, 9092, 5558, 2890, 4169, 1010, 1037, 4169, 2806, 4310, 2000, 1996, 2555, 1012, 102, 101, 2084, 3900, 19722, 2099, 2003, 1996, 4075, 1997, 1996, 2084, 3900, 19722, 2099, 2212, 1012, 1996, 2103, 2003, 2019, 2590, 4910, 2803, 2284, 1999, 1996, 6187, 22909, 2854, 7160, 1998, 2003, 2124, 2004, 1996, 1000, 5785, 4605, 1997, 6008, 10703, 1000, 1012, 2084, 3900, 19722, 2099, 2003, 8564, 2011, 1037, 4546, 3840, 5266, 2019, 2181, 1997, 4029, 1030, 1012, 1030, 3943, 2463, 2475, 1006, 2403, 1030, 1012, 1030, 6021, 5490, 2771, 1007, 1998, 2018, 1037, 2313, 1997, 19015, 1030, 1010, 1030, 6365, 2509, 1999, 2249, 1012, 18799, 2015, 2024, 1996, 2350, 2965, 1997, 5193, 1010, 2096, 1996, 2103, 2036, 2038, 4334, 20831, 1012, 1996, 7205, 3199, 2003, 14841, 6820, 5428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 1, 1, 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, 1, 1, 1, 1, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.012698029856150954, 0.000152038654635535, 9.66535169556955e-9, 0.04254994081290757, 0.0011286956645914987, 0.000361342298833726, 0.0015462341688674461, 0.000023284733022074984, 0.000028403891366417687, 0.05435841931136427, 0.22640419226822223, 0.053714296869458104, 0.00011119306683751997, 0.00009745032239124177, 0.00006922533094976373, 0.04676790727859314, 0.039076886079829884, 0.022137161155200487, 0.027481844099094165, 0.08903454908556684, 0.0000014282445570845137, 0.000019664194497504253, 0.0008523033970117655, 0.0000017616125803355243, 0.009228609666254087, 0.07780187097650416, 9.66535169556955e-9, 0.031859073160444895, 0.02077371468759276, 0.001678696061063772, 0.0000075978966511162175, 0.0006575229861428565, 0.0002712659226676437, 0.01161066345447779, 0.0027118211621586278, 0.02294135111421169, 0.01575051148045448, 0.046899490738197866, 0.00005128009959585059, 0.001047863444058218, 0.0001561207359102198, 0.000470500944379827, 9.66535169556955e-9, 0.03660334893808342, 0.00004372667558314478, 0.05998761102048697, 0.000035668319392496356, 9.66535169556955e-9, 0.022164054805065454, 0.018631344652686316 ]
[ 2527, 12952, 3669, 2248, 3199, 1010, 2284, 5354, 1030, 1012, 1030, 1020, 2463, 1006, 4261, 1030, 1012, 1030, 1014, 2771, 1007, 2185, 2013, 1996, 2103, 1012, 1996, 7205, 2712, 6442, 2003, 13173, 7556, 2140, 3417, 1010, 2029, 2003, 6365, 2463, 1006, 5388, 2771, 1007, 2185, 2013, 2084, 3900, 19722, 2099, 1012, 102, 101, 5784, 2903, 1996, 2171, 2084, 3900, 19722, 2099, 2003, 5173, 2013, 9092, 8405, 1010, 1037, 8987, 5698, 1999, 7560, 11327, 1012, 2096, 1996, 2220, 2381, 1997, 2084, 3900, 19722, 2099, 3464, 10599, 1010, 1996, 2103, 2034, 3123, 2000, 12144, 2076, 1996, 5853, 1997, 5781, 16480, 8523, 2043, 2009, 2366, 2004, 1996, 3007, 1997, 1996, 3400, 1012, 2044, 1996, 2991, 1997, 16480, 8523, 1010, 1996, 2103, 2001, 5451, 2011, 2536, 23014, 2066, 6090, 25838, 2015, 1010, 17027, 5162, 6843, 3400, 1010, 5506, 24804, 29349, 29243, 1010, 2084, 3900, 19722, 2099, 29349, 29243, 1010, 2084, 3900, 19722, 2099, 13955, 8322, 2015, 1998, 1996, 2329, 3400, 1012, 2009, 2038, 2042, 1037, 2112, 1997, 2981, 2634, 2144, 4006, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 2429, 2000, 2334, 5722, 1010, 1996, 2773, 2084, 3900, 19722, 2099, 2003, 5173, 2013, 1000, 9092, 8405, 1000, 1010, 2019, 2004, 4648, 1006, 5016, 1007, 1999, 7560, 11327, 2040, 2001, 2730, 1999, 2054, 2003, 2085, 2084, 3900, 19722, 2099, 2011, 1996, 7560, 2643, 7663, 10278, 13910, 3270, 7304, 9067, 1010, 1037, 2433, 1997, 17647, 1012, 1996, 2773, 2084, 3900, 19722, 2099, 2003, 5262, 1037, 6008, 2171, 1012, 1000, 2084, 1000, 1011, 3147, 1010, 1000, 18178, 2072, 1000, 1011, 16439, 1010, 1000, 24471, 1000, 1011, 2103, 1010, 1037, 2103, 5129, 2011, 3147, 16439, 2015, 1012, 1996, 2773, 1000, 2084, 5403, 17922, 2099, 1000, 2038, 2468, 1000, 2084, 3900, 19722, 2099, 1000, 102, 101, 2045, 2024, 2053, 7604, 2000, 2084, 3900, 19722, 2099, 1999, 2151, 1997, 1996, 6369, 3286, 2558, 1006, 2353, 2301, 4647, 2000, 2959, 2301, 4748, 1007, 6008, 2636, 1010, 2295, 2070, 5784, 2903, 2008, 1996, 2103, 2038, 5839, 2144, 2008, 2051, 1012, 12849, 14762, 2310, 23500, 1010, 4350, 2321, 2661, 1006, 2484, 2463, 1007, 2000, 1996, 2264, 1997, 1996, 2103, 1010, 2001, 1996, 2609, 1997, 1996, 2645, 1997, 2310, 23500, 2090, 1996, 16480, 2721, 2332, 27356, 26907, 1998, 1037, 18179, 1997, 1996, 24188, 3022, 1998, 1996, 6090, 25838, 2015, 1012, 1996, 16480, 8523, 2790, 2000, 2031, 4320, 2019, 5274, 1997, 1996, 26209, 23706, 8180, 1999, 1996, 2353, 2301, 4748, 2044, 2029, 1996, 2983, 8105, 2046, 27885, 28817, 15780, 1012, 1996, 2555, 2105, 2556, 2154, 2084, 3900, 19722, 2099, 2001, 11438, 2011, 1996, 14163, 8322, 29539, 2869, 2076, 4369, 2301, 1010, 2040, 5451, 2009, 2039, 2000, 6391, 2683, 1012, 102, 101, 1996, 16480, 8523, 2234, 2000, 12144, 2320, 2062, 2083, 1996, 4125, 1997, 1996, 5781, 16480, 2721, 11590, 17027, 7911, 3148, 1006, 6391, 2487, 1516, 6584, 2620, 1007, 1999, 2055, 15678, 1012, 17027, 7911, 3148, 11438, 2084, 3900, 19722, 2099, 2013, 1996, 14163, 8322, 29539, 2099, 2332, 3449, 23422, 14163, 8322, 29539, 2099, 1998, 2328, 1037, 3379, 4056, 2000, 7560, 7804, 9152, 17421, 22655, 6342, 7847, 2072, 1012, 2010, 2365, 27133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.09164953094416282, 0.0013800922495195887, 0.0030357581328662024, 0.020212810616063673, 0.04267126027410167, 0.012307509680599812, 0.045662347695836804, 0.03695889060291539, 0.00010486095277688958, 0.010160877506284242, 7.698075327207548e-9, 0.0011597037910312613, 0.00017807101118266788, 0.013213231244671317, 0.0021108493371118876, 0.0011011217840524216, 0.05139049387153637, 0.0018308565004973223, 0.005233098209216024, 0.0016752997421095516, 0.05398746694151689, 0.0005313864820375128, 0.0028242426730450223, 0.07335365055017094, 0.06309624611344677, 0.04728804205562019, 0.01791793824331263, 0.0000020053607647452296, 0.009777472606041926, 0.000025241939498814802, 0.001993871043174888, 0.0007464993418775091, 0.00007804549327318062, 0.12441973279796731, 0.005653096395338332, 0.000005660365965924461, 0.046811551845263574, 0.00002801076360739567, 0.0005275272803949128, 6.827410563049697e-8, 6.366797962377706e-7, 0.0010886164868319957, 0.00006293830001463919, 0.003429445830071405, 0.1277471951859769, 6.444882693288282e-7, 0.015216381546979818, 0.00010030505823894432, 0.03951429088732123, 0.02173511712546435 ]
[ 21426, 1045, 1006, 6584, 2487, 1516, 3938, 2487, 1007, 10495, 1996, 2907, 2058, 1996, 2103, 1012, 1996, 23438, 6494, 5283, 2696, 2332, 10871, 2462, 1006, 6584, 2620, 1516, 6205, 2549, 1007, 1010, 1037, 3824, 1997, 1996, 16480, 2721, 2332, 11498, 12380, 2912, 1045, 1006, 3938, 2581, 1516, 20317, 1007, 1010, 4447, 2000, 2031, 11438, 2084, 3900, 19722, 2099, 1010, 2021, 2045, 2024, 2053, 2636, 2000, 2490, 1996, 4366, 1012, 6360, 1010, 2084, 3900, 19722, 2099, 2150, 1996, 2087, 2590, 2103, 1999, 1996, 16480, 2721, 3400, 1998, 2815, 2049, 3007, 6229, 1996, 14053, 1997, 28646, 12676, 8943, 16480, 2721, 17809, 1999, 2055, 9402, 2629, 1012, 2076, 1996, 2034, 5476, 1997, 1996, 11911, 2301, 1010, 1996, 16480, 2721, 2332, 10164, 10164, 16480, 2721, 1045, 1006, 5818, 2629, 1516, 7886, 2549, 1007, 3833, 1996, 7987, 19190, 9648, 2229, 11872, 2099, 3379, 2012, 2084, 3900, 19722, 2099, 1012, 1996, 3379, 2003, 2641, 2000, 2022, 2028, 1997, 1996, 2190, 9908, 1997, 2148, 2796, 3379, 4294, 1012, 102, 101, 2043, 1996, 16480, 2721, 3400, 2211, 2000, 6689, 1999, 1996, 6122, 2301, 1010, 1996, 6090, 25838, 2015, 2013, 1996, 2148, 10836, 1998, 4110, 2084, 3900, 19722, 2099, 3807, 1010, 2034, 2076, 12606, 2620, 1516, 2539, 1998, 2059, 2076, 13138, 2692, 1012, 2076, 1996, 2117, 5274, 1010, 1996, 16480, 2721, 2332, 10164, 14220, 2050, 3523, 1006, 12606, 2575, 1516, 5179, 1007, 2001, 2275, 1999, 8340, 1998, 2002, 4912, 1996, 2393, 1997, 1996, 7570, 7274, 7911, 2332, 6819, 2527, 27544, 5332, 2213, 3270, 2462, 1006, 13092, 2692, 1516, 3486, 1007, 2000, 12452, 2084, 3900, 19722, 2099, 1012, 2084, 3900, 19722, 2099, 2001, 2776, 13291, 2247, 2007, 1996, 2717, 1997, 1996, 16480, 2721, 2983, 2011, 1996, 6090, 25838, 2332, 13955, 10755, 2386, 13970, 25002, 16566, 6090, 25838, 2078, 1045, 1006, 14010, 2620, 1516, 7558, 2620, 1007, 1999, 13029, 2683, 1998, 1996, 16480, 2721, 5465, 2020, 3140, 2000, 5138, 1996, 10514, 6290, 22325, 2100, 1997, 1996, 6090, 25838, 2015, 1012, 1996, 6090, 25838, 2015, 5451, 2084, 3900, 19722, 2099, 2013, 13029, 2683, 2000, 14677, 2487, 2043, 2037, 2983, 2001, 18784, 1998, 13291, 2011, 1996, 2749, 1997, 14360, 10556, 27942, 1006, 14378, 2575, 1516, 7558, 2575, 1007, 1998, 6768, 21308, 1012, 1996, 21308, 3668, 2049, 3691, 3495, 2058, 1996, 11438, 4655, 2013, 14677, 2487, 2000, 14506, 2629, 1998, 2059, 2083, 1996, 4100, 1030, 1011, 1030, 2981, 5003, 1005, 3347, 21308, 2013, 14506, 2629, 2000, 14989, 2620, 1012, 3225, 2013, 1996, 11502, 16223, 1010, 1996, 5003, 1005, 3347, 21308, 2001, 11328, 9063, 2046, 1996, 4803, 17027, 5162, 6843, 3400, 1012, 102, 101, 2084, 3900, 19722, 2099, 2003, 3373, 2000, 2031, 2042, 11438, 2011, 27829, 9739, 2532, 20904, 12186, 2099, 2076, 2010, 5274, 1997, 5185, 24388, 3286, 2090, 15407, 2629, 1998, 14989, 2487, 1012, 16475, 2050, 4097, 2050, 1005, 1055, 9315, 6052, 14748, 2509, 1010, 16215, 4313, 12248, 2721, 1005, 1055, 9315, 6052, 13741, 2629, 1998, 9353, 6979, 2696, 16475, 2050, 1005, 1055, 2455, 8624, 6052, 16710, 2475, 1998, 16710, 2683, 2012, 22199, 17027, 5162, 6843, 1005, 1055, 13811, 2058, 2084, 3900, 19722, 2099, 1012, 7367, 3567, 13944, 29349, 4817, 1006, 16710, 2475, 1516, 3770, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.08277014337771284, 0.0000034283371559262437, 0.000027374929784499632, 0.0346317309469352, 0.0026423339196044947, 0.0745159432189382, 0.07438869635052767, 0.00007572945079600945, 0.008470813889410516, 0.05525742709120139, 0.016534147867510996, 0.005661840122074933, 0.002418810043983924, 0.00022249767289828743, 0.01342094229411459, 0.0013460587360235182, 0.03830215640495034, 0.004887463274049818, 0.000853180818850953, 0.0016084170716718848, 0.014157740966890773, 0.0054586605417907726, 0.021919709145773802, 0.0975366854283201, 0.003732726564536027, 0.049222509425599914, 7.018410694935737e-9, 0.028114910050723158, 0.0001919953014564017, 0.017379632565038685, 0.014016041490263306, 0.0014758570006274893, 0.000022615134133295565, 0.007705678294952419, 0.000024583172707464756, 0.03705060063474744, 0.010725533961641645, 0.030819575861607433, 0.021641058179254505, 0.0020937266901240783, 0.000057293130259903174, 0.08161413529229715, 0.00013079851463443197, 0.0030827997233584853, 0.016098770768288015, 0.0002551126987397328, 0.02704889072288549, 0.000013301318637250059, 0.06960963253826369, 0.02076028204584045 ]
[ 1010, 1996, 17027, 5162, 6843, 19007, 1997, 8115, 4140, 1010, 2511, 2370, 2004, 2019, 2981, 11590, 1999, 16710, 2475, 1006, 16666, 2683, 1010, 2429, 2000, 2070, 4216, 1007, 1998, 2631, 1996, 2084, 3900, 19722, 2099, 29349, 4817, 2983, 1012, 9353, 6979, 8322, 13944, 29349, 4817, 1006, 29185, 1516, 17365, 2549, 1007, 1010, 17768, 17157, 8988, 2050, 29349, 4817, 1006, 14883, 1516, 4090, 1007, 1998, 17027, 2050, 17768, 3270, 3567, 29349, 4817, 1006, 28502, 1516, 6421, 1007, 2024, 2070, 1997, 1996, 2590, 11117, 1997, 1996, 29349, 4817, 5321, 2040, 5451, 2084, 3900, 19722, 2099, 1012, 2084, 3900, 19722, 2099, 29349, 29243, 2020, 3862, 2005, 2037, 15694, 1997, 3906, 1998, 2840, 1012, 1996, 3627, 1997, 1996, 5321, 2234, 2000, 2019, 2203, 2043, 2084, 3900, 19722, 2099, 3062, 2000, 1996, 5506, 24804, 29349, 4817, 2332, 16480, 15714, 16207, 2050, 29349, 4817, 1006, 25909, 1516, 6445, 1007, 1999, 16785, 2509, 1012, 17027, 2050, 17768, 17157, 8988, 2050, 29349, 4817, 1010, 1996, 2365, 1997, 16480, 15714, 16207, 2050, 1010, 2001, 2730, 1999, 1037, 2645, 1998, 16480, 15714, 16207, 2050, 1005, 1055, 2567, 21862, 23243, 29349, 4817, 1006, 16785, 2509, 1516, 4293, 1007, 2001, 10249, 2004, 1996, 7786, 1997, 1996, 3400, 1012, 102, 101, 2084, 3900, 19722, 2099, 2001, 5147, 11438, 1999, 16785, 2549, 2011, 23969, 29147, 2072, 1045, 1006, 27194, 1516, 6391, 1007, 1010, 1996, 13955, 8322, 13552, 14049, 1997, 1996, 7544, 1997, 12170, 3900, 5311, 1998, 2431, 1030, 1011, 1030, 2567, 1997, 12535, 4478, 1006, 17832, 2581, 1013, 2382, 1030, 1011, 1030, 3770, 1007, 1997, 1996, 1038, 8747, 25016, 5321, 1012, 23969, 29147, 2072, 2631, 1996, 2084, 3900, 19722, 2099, 13955, 8322, 2983, 2029, 5451, 2084, 3900, 19722, 2099, 6229, 8492, 1012, 1996, 13955, 8322, 2015, 17747, 2037, 12601, 2058, 2084, 3900, 19722, 2099, 2802, 1996, 2197, 4284, 1997, 1996, 5550, 1998, 1996, 2878, 1997, 1996, 4985, 2301, 1012, 1996, 13955, 8322, 11117, 9161, 3550, 2482, 19833, 2594, 2189, 1012, 1999, 16057, 1010, 23204, 5960, 1010, 1996, 11315, 1997, 2084, 3900, 19722, 2099, 1010, 18298, 1996, 3576, 10164, 1010, 2010, 7833, 14262, 14876, 4478, 2462, 1006, 16057, 1516, 6109, 1007, 1998, 4110, 1996, 6106, 1012, 14262, 14876, 4478, 2462, 2001, 5854, 1999, 13839, 2007, 1996, 5375, 1997, 1996, 2329, 1010, 2040, 10572, 2032, 2000, 2128, 4115, 15549, 4095, 1996, 3447, 1997, 1996, 2983, 1998, 2187, 2032, 1999, 3715, 1997, 2084, 3900, 19722, 2099, 3481, 1998, 4193, 2752, 1012, 1996, 2983, 2001, 2776, 9063, 2046, 2329, 2634, 1999, 8492, 2011, 1996, 8998, 1997, 10876, 2063, 2043, 12535, 4478, 2462, 1006, 10212, 1516, 4583, 1007, 1010, 1996, 2197, 2084, 3900, 19722, 2099, 13955, 8322, 7786, 1010, 2351, 2302, 1037, 11476, 3287, 8215, 1012, 1996, 2329, 3615, 2000, 1996, 2103, 2004, 9092, 5558, 2890, 1999, 2037, 2636, 1012, 2274, 2086, 2044, 2049, 18985, 1010, 1996, 2329, 2999, 11265, 3654, 4502, 15464, 1006, 2715, 1030, 1011, 1030, 2154, 26539, 4502, 6916, 13129, 1007, 2007, 2084, 3900, 19722, 2099, 2004, 1996, 2835, 1997, 1996, 2212, 3447, 1012, 2104, 1996, 2329, 1010, 2084, 3900, 19722, 2099, 6003, 2004, 2019, 2590, 3164, 2803, 1012, 1996, 7428, 2634, 2883, 2680, 1037, 2313, 1997, 4720 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0001297992593527772, 0.027091952727977337, 0.000332918330054263, 0.0008564492822374217, 0.00029427206321052833, 0.0002094607185238339, 0.012343973206655702, 0.06384967916800391, 0.11030684121412426, 0.002360768409844005, 0.000002165761267419111, 0.06875221620999626, 0.0018172887422979707, 0.07648099787157994, 0.0328870501129557, 0.00012662685797827107, 0.0008354638601755861, 0.0748269331829709, 0.004715855010242988, 0.07086762738770351, 0.0807221018845504, 0.03925583617991237, 0.0008458200177304547, 0.012655248036338369, 6.551624508055623e-9, 0.0007492033282069632, 0.0301338343436685, 0.00001088383894461015, 0.0012680390853217268, 0.0000180722473732089, 0.00005353725767026129, 0.0018160067879698157, 0.00003253832170980464, 0.0006704135142207525, 0.00007675646707932365, 0.0003274751977591823, 0.0003912011356376109, 0.002130452103970849, 0.007271621621217145, 0.00926408745376712, 0.0002941763682954848, 0.0000613086487188184, 0.05405520913960929, 0.0964456758183287, 0.0003989449697657646, 0.015157751959434364, 0.07788407287351912, 0.007929221886469277, 0.00006990139106043404, 0.010922262192973299 ]
[ 1030, 1010, 1030, 18225, 1010, 2437, 2084, 3900, 19722, 2099, 1996, 2353, 2922, 2103, 1999, 1996, 12993, 8798, 1012, 2044, 2634, 1005, 1055, 4336, 1010, 2084, 3900, 19722, 2099, 2506, 2004, 1996, 2212, 4075, 1012, 102, 101, 102, 101, 1027, 1027, 10505, 1998, 4785, 1027, 1027, 102, 101, 102, 101, 2084, 3900, 19722, 2099, 2003, 2284, 2012, 2184, 1030, 1012, 1030, 1022, 1080, 1050, 6535, 1030, 1012, 1030, 2321, 1080, 1041, 1013, 2184, 1030, 1012, 1030, 1022, 1025, 6535, 1030, 1012, 1030, 2321, 1996, 15777, 1997, 2314, 6187, 22909, 2854, 1010, 8419, 1010, 1996, 2882, 9617, 2594, 4904, 5033, 1006, 16405, 17516, 15728, 1007, 1010, 12436, 29045, 26526, 2226, 1998, 2310, 9516, 15728, 5485, 4834, 2083, 1996, 2103, 1012, 2084, 3900, 19722, 2099, 2003, 4350, 1999, 1996, 6187, 22909, 2854, 7160, 1010, 2012, 1037, 3292, 1997, 26257, 2463, 1006, 17317, 2771, 1007, 2148, 1030, 1011, 1030, 2225, 1997, 12249, 1998, 5179, 2463, 1006, 3486, 2771, 1007, 2264, 1997, 14841, 6820, 5428, 2527, 13944, 6894, 1012, 2096, 1996, 8575, 3202, 13562, 1996, 6187, 22909, 2854, 2314, 2031, 2042, 2104, 13142, 2013, 2051, 10047, 4168, 24610, 2389, 1010, 2087, 1997, 2084, 3900, 19722, 2099, 2103, 1998, 1996, 4193, 2752, 4682, 1999, 1996, 1000, 2047, 7160, 1000, 1516, 1037, 4318, 1010, 20225, 25770, 12859, 2029, 2038, 2042, 2716, 2104, 12442, 2076, 1996, 2220, 3708, 2301, 1012, 2000, 1996, 2148, 1997, 2084, 3900, 19722, 2099, 2103, 1010, 2003, 1996, 11748, 10278, 2795, 3122, 1010, 1037, 2235, 9814, 16021, 7747, 7347, 2098, 2012, 3180, 14025, 2011, 16386, 1997, 11694, 1012, 1996, 7205, 2712, 6442, 2003, 26539, 4502, 6916, 13129, 2029, 2003, 6391, 2463, 1006, 4720, 2771, 1007, 2264, 1997, 2084, 3900, 19722, 2099, 1012, 1996, 7205, 3199, 2003, 14841, 6820, 5428, 2527, 12952, 3669, 2248, 3199, 1010, 2284, 2012, 1037, 3292, 1997, 5179, 2463, 1006, 3486, 2771, 1007, 1012, 1996, 2103, 2038, 2019, 6678, 1997, 5401, 1049, 1006, 19446, 3027, 1007, 2682, 2812, 2712, 2504, 1012, 1996, 2561, 2181, 1997, 1996, 2103, 2003, 4029, 1030, 1012, 1030, 3943, 2463, 2475, 1006, 2403, 1030, 1012, 1030, 6021, 5490, 2771, 1007, 1012, 102, 101, 1996, 2558, 2013, 2281, 2000, 2337, 1999, 2084, 3900, 19722, 2099, 2003, 8242, 1010, 2007, 1037, 4785, 2440, 1997, 4010, 2420, 1998, 4658, 6385, 1012, 1996, 14447, 1997, 2621, 2003, 2013, 2233, 1010, 2007, 1996, 8714, 4285, 2049, 4672, 2011, 1996, 2203, 1997, 2089, 1998, 2238, 1012, 1996, 2779, 7715, 2846, 2013, 6282, 1080, 1042, 1006, 2676, 1080, 1039, 1007, 1999, 2254, 2000, 5989, 1080, 1042, 1006, 4029, 1080, 1039, 1007, 1999, 2089, 1998, 2238, 1012, 2621, 15811, 2024, 20288, 1998, 1996, 2034, 19183, 1010, 1996, 2148, 1030, 1011, 1030, 2225, 19183, 1010, 4520, 1999, 2238, 1998, 4247, 6229, 2244, 1012, 2167, 1030, 1011, 1030, 2264, 19183, 4520, 1999, 2255, 1998, 4247, 6229, 2254, 1012, 1996, 10101, 2076, 2148, 1030, 1011, 1030, 2225, 19183, 2558, 2003, 2172, 2896, 2084, 2008, 1997, 2167, 1030, 1011, 1030, 2264, 19183, 1012, 2167, 1030, 1011, 1030, 2264, 19183, 2003, 15189, 2000, 1996, 2212, 2012, 2312, 2138, 1997, 1996, 3082, 10101, 1998, 1996, 2530, 1043, 12707, 2015, 8521, 1996, 2314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.04286257686699706, 0.0000027909335480459375, 0.0071757879033123645, 0.00015599205240236785, 0.000027282850873171445, 0.01100168480914327, 0.02028126649728196, 0.000021398060173569846, 0.005644658170092348, 0.05627843278597414, 0.025471994351243876, 0.000336618087944226, 0.0007032544918329867, 0.0007156197719357709, 0.07892583583865839, 0.000019325535720384895, 0.00784171769504751, 0.0055241269196320076, 9.411738131563972e-9, 0.06985885793493254, 0.07648950356289833, 0.012731932566838747, 0.06616749839072762, 0.02619661206340306, 9.411738131563972e-9, 0.02936951716568012, 0.04379137315223118, 0.004073880455976396, 0.01208635736305318, 0.0005825196055577928, 0.04002554262059549, 0.00015888118034956133, 0.004762356782623973, 0.027819880243067016, 0.00040489121971620535, 0.005943599811650576, 0.00014605612652241872, 9.411738131563972e-9, 0.08846403870141523, 0.038889533453236445, 0.05906275600090904, 0.020878028183783214, 0.0004023401936492469, 0.013368597137615462, 0.030448548837968208, 0.008364111511029837, 0.04194165789802604, 0.00323510991512574, 0.00024391783963862365, 0.011101708224750937 ]
[ 6187, 22909, 2854, 1012, 1996, 2779, 10101, 2003, 4261, 5282, 1006, 6365, 2692, 3461, 1007, 1010, 2087, 1997, 2029, 2003, 5201, 2011, 1996, 2167, 1030, 1011, 1030, 2264, 19183, 1012, 102, 101, 102, 101, 1027, 1027, 6813, 1998, 3226, 1027, 1027, 102, 101, 102, 101, 2084, 3900, 19722, 2099, 2003, 2019, 2590, 21214, 2803, 1998, 1037, 2350, 7538, 7688, 1997, 6008, 10703, 1012, 2148, 4224, 3226, 2803, 1999, 2084, 3900, 19722, 2099, 2003, 2028, 1997, 1996, 3164, 3451, 8941, 2511, 2011, 1996, 2231, 1997, 2634, 2000, 7969, 1998, 5326, 3451, 4348, 1997, 2634, 1012, 2045, 2020, 1016, 1030, 1010, 1030, 4002, 2475, 1030, 1010, 1030, 14993, 2796, 1998, 6282, 1030, 1010, 1030, 24125, 3097, 7538, 25470, 1999, 2268, 2000, 2084, 3900, 19722, 2099, 1012, 1996, 2087, 4716, 6104, 1999, 2084, 3900, 19722, 2099, 2003, 1996, 7987, 19190, 9648, 2229, 11872, 2099, 3379, 1010, 3005, 2810, 1010, 1996, 5272, 11312, 2829, 2649, 2004, 1000, 1037, 8637, 1999, 1996, 6622, 1997, 2311, 2396, 1999, 2148, 2634, 1000, 1012, 2328, 1999, 1996, 6252, 2301, 2011, 1996, 16480, 2721, 2332, 10164, 10164, 16480, 2721, 1045, 1006, 5818, 2629, 1516, 7886, 2549, 1007, 1010, 1996, 3379, 2003, 4056, 2000, 1996, 7560, 2643, 12535, 1012, 1996, 3681, 1997, 1996, 2624, 27272, 2024, 3139, 2007, 2813, 5265, 2013, 1996, 16480, 2721, 1998, 29349, 4817, 6993, 1012, 1996, 3379, 2001, 4351, 2019, 12239, 2088, 4348, 2609, 1999, 3055, 1012, 2009, 2003, 28024, 2094, 1999, 1996, 28646, 12676, 8943, 16480, 4244, 24516, 2099, 3379, 3833, 2011, 10164, 10164, 1005, 1055, 2365, 11948, 19524, 16480, 2721, 1045, 1006, 7886, 2475, 1516, 4008, 1007, 1012, 102, 101, 1996, 2084, 3900, 19722, 2099, 13955, 8322, 4186, 2001, 1996, 2880, 5039, 1997, 1996, 1038, 8747, 25016, 2155, 2040, 5451, 2058, 1996, 2084, 3900, 19722, 2099, 2555, 2013, 16785, 2549, 2000, 8492, 1012, 2009, 2001, 2761, 3833, 2011, 1996, 11117, 1997, 2084, 3900, 19722, 2099, 29349, 4817, 2983, 1998, 2044, 2037, 2991, 1010, 2009, 2366, 2004, 1996, 2880, 5039, 1997, 1996, 2084, 3900, 19722, 2099, 13955, 8322, 2015, 1012, 2043, 2087, 1997, 1996, 2084, 3900, 19722, 2099, 13955, 8322, 2983, 2001, 13291, 2011, 1996, 2329, 3400, 1999, 13839, 1010, 1996, 2084, 3900, 19722, 2099, 13955, 8322, 2015, 2506, 2000, 2907, 17812, 2058, 1996, 4186, 1998, 1996, 4193, 3481, 1012, 1996, 2670, 2217, 1997, 1996, 2353, 17718, 21476, 1997, 1996, 4186, 2038, 11827, 3027, 1006, 5388, 1049, 1007, 3578, 2066, 2311, 1010, 2170, 1996, 2204, 23692, 17809, 1012, 102, 101, 1996, 7354, 26760, 25457, 27913, 3075, 1010, 2511, 2105, 16601, 1998, 2284, 1999, 1996, 10345, 1997, 1996, 4186, 1010, 3397, 2058, 2382, 1030, 1010, 1030, 2199, 2796, 1998, 2647, 10485, 2517, 2006, 5340, 7053, 1998, 3259, 1012, 2058, 12021, 2566, 9358, 1997, 2049, 10485, 2024, 1999, 11353, 1998, 2116, 1997, 2068, 2024, 2006, 5340, 3727, 1012, 1996, 6008, 2573, 2421, 15326, 2006, 4200, 1010, 1998, 21241, 2006, 6369, 3286, 3906, 1012, 1996, 10164, 14220, 2050, 16480, 2721, 2396, 3916, 2003, 2284, 2503, 1996, 4186, 1516, 2009, 2038, 1037, 2312, 3074, 1997, 2962, 1998, 4421, 4871, 2013, 1996, 6619, 2000, 5940, 4693, 1012, 2087, 1997, 1996, 24438, 2556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.000012168401125094067, 0.0000072928654599266475, 0.07617842121922275, 0.14012055695916542, 0.0750430123321661, 0.0000054156850369622786, 0.031866870593536385, 0.057860635428588915, 0.0002547456622593546, 0.007682659700429131, 0.024468048885110977, 0.029370613149920132, 0.00003415706572559182, 0.002697080647405821, 0.0016673101456963332, 0.0013085190992819411, 0.0020171441209379205, 0.001748733070737299, 0.003627902609166, 0.002925192823300084, 0.00001917312257724347, 0.006728735354237524, 0.021953524251261153, 0.02304409122472541, 0.01154199846573036, 0.014232282888641281, 0.03522613820371604, 0.00006838731949736426, 0.015363980764930453, 0.045726870429299245, 0.10900288008801348, 0.05473311658381378, 0.00005784753177550332, 0.00044647302310785934, 0.010824613901922202, 0.0008905302639004171, 0.045068121197818216, 0.00004862502893913009, 0.04573098413222209, 0.011977943230726257, 0.000025926788712498573, 0.021784011338890453, 0.007385437367514734, 0.039020942764728214, 0.001805280742360891, 0.000663002199089366, 0.0014343537140251777, 0.00037515104264413036, 0.001378671240882133, 0.01454442533002527 ]
[ 1999, 1996, 3916, 2020, 5067, 2013, 2536, 8436, 1999, 1996, 2084, 3900, 19722, 2099, 2212, 1012, 1996, 9033, 3567, 24930, 2050, 2380, 2003, 4350, 2000, 1996, 2264, 1997, 1996, 7987, 19190, 9648, 2229, 11872, 2099, 3379, 1998, 13974, 1996, 9033, 3567, 24930, 2050, 4951, 3373, 2000, 2031, 2042, 2328, 2011, 1996, 2332, 10164, 10164, 16480, 2721, 1012, 2009, 2001, 2580, 2004, 1037, 2111, 1005, 1055, 2380, 2011, 1996, 9092, 5558, 2890, 3250, 1999, 7428, 1516, 5824, 1012, 2009, 2038, 1037, 3074, 1997, 4264, 1010, 4176, 1998, 5055, 1998, 4240, 2004, 1037, 9201, 2005, 2336, 2306, 1996, 2103, 1012, 102, 101, 16756, 2277, 1010, 1037, 3181, 6104, 2284, 1999, 1996, 4186, 3871, 1010, 2001, 2328, 1999, 17616, 2011, 14262, 14876, 4478, 2462, 2004, 1037, 19204, 1997, 12242, 2005, 7065, 1012, 1039, 1012, 1058, 1012, 16756, 1997, 1996, 5695, 3260, 1012, 2045, 2024, 2274, 9941, 1999, 1996, 2103, 8419, 23005, 2688, 1010, 6008, 2118, 2688, 2284, 2007, 1996, 6008, 2118, 10345, 1010, 1996, 7354, 26760, 25457, 27913, 3075, 2688, 2284, 2503, 1996, 7354, 26760, 25457, 27913, 1010, 29349, 4817, 4241, 28483, 2099, 2534, 2396, 2688, 1998, 10164, 14220, 2050, 16480, 2721, 2688, 1012, 10164, 10164, 2078, 23624, 2386, 2850, 4502, 2213, 2003, 2028, 1997, 1996, 7538, 13051, 1999, 2084, 3900, 19722, 2099, 1010, 2328, 2076, 1996, 2084, 3900, 19722, 2099, 6008, 3034, 1999, 2889, 1012, 1000, 6369, 15558, 3270, 27913, 1000, 2038, 1037, 4568, 2192, 2594, 27528, 3215, 4538, 2803, 1012, 2084, 3900, 19722, 2099, 2003, 1996, 18293, 2005, 2116, 1997, 1996, 2840, 1998, 14030, 1999, 2148, 2634, 1012, 2482, 19833, 2594, 2189, 2001, 19429, 7810, 1999, 2084, 3900, 19722, 2099, 1998, 1996, 2396, 17893, 2076, 1996, 29349, 4817, 3627, 1999, 1996, 5767, 2301, 1012, 1038, 28074, 15788, 21426, 2213, 1010, 1037, 4556, 3153, 2433, 1997, 2148, 2634, 1010, 2018, 2049, 2350, 6782, 2764, 1999, 2084, 3900, 19722, 2099, 1012, 102, 101, 2938, 26115, 16215, 4313, 2226, 5737, 27922, 2050, 2003, 1996, 3296, 5798, 2782, 1997, 10164, 10164, 16480, 2721, 2218, 2076, 2255, 2296, 2095, 1012, 2084, 3900, 19722, 2099, 2003, 1996, 2918, 2005, 1996, 5939, 16098, 14220, 2050, 19027, 17516, 2532, 1010, 1037, 2482, 19833, 2594, 2189, 2782, 2218, 6604, 2076, 2254, 1516, 2337, 2012, 16215, 4313, 2226, 3567, 8717, 6820, 1010, 2284, 2410, 2463, 1006, 1022, 1030, 1012, 1030, 1015, 2771, 1007, 2185, 2013, 1996, 2103, 1012, 2084, 3900, 19722, 2099, 4169, 2003, 1037, 2350, 2433, 1997, 4556, 2148, 2796, 4169, 2013, 2084, 3900, 19722, 2099, 1012, 2009, 5246, 2067, 2000, 2055, 14883, 2015, 1010, 1996, 2558, 1997, 29349, 11905, 2015, 1997, 2084, 3900, 19722, 2099, 1010, 2040, 6628, 2396, 1010, 4556, 3153, 1010, 2189, 3906, 1010, 2119, 1999, 12180, 1998, 6008, 1012, 1996, 2396, 2003, 2788, 1037, 5257, 1997, 2992, 1998, 4993, 9972, 1010, 2007, 1996, 7560, 2643, 10871, 2108, 1996, 2087, 2759, 3746, 8212, 1012, 1999, 2715, 2335, 1010, 2122, 5265, 2031, 2468, 2061, 27346, 18894, 1997, 17037, 3512, 6642, 1999, 2148, 2634, 1010, 2813, 25545, 2015, 1010, 1998, 14256, 1005, 5167, 2005, 2396, 10205, 1012, 102, 101, 102, 101, 1027, 1027, 4610, 1027, 1027, 102, 101, 102, 101, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ]
[ 0.003691010150797144, 0.00000879291314606424, 0.0007550770006265787, 0.0356085102252244, 0.0005884610212944091, 0.10581360549439299, 0.00021870815429867493, 0.08905405799612873, 0.0948268735292837, 0.07187074679733806, 0.01660994795880298, 7.710736352190281e-9, 0.000040179539018101145, 0.03019762340937451, 0.01709632054940957, 0.0000872753767509981, 0.000009183336919026615, 7.116347539992171e-7, 0.05325328822406673, 0.006756118105095722, 0.000011785837157938539, 0.02131945665717544, 0.013346932234863865, 0.001473160525098479, 0.0008988269608929714, 0.012086508923084589, 0.07275221175547257, 0.0002996449363386674, 0.012511033135365234, 0.012931600394298942, 0.1671915196766154, 0.0021134384798660653, 0.01493687108395903, 0.0000037262450173851795, 0.06329318110791901, 0.00011426372720569104, 0.000003038637720943225, 0.000017983180715456353, 0.011103500464023303, 0.05462147195082985, 0.0005047914887607853, 0.000004344606257519691, 0.0015278298944350717, 0.0009123585675442729, 0.0038888193431101557, 0.003375235110188026, 0.0009995094011669627, 0.00009679016193152105, 0.00004469000043712167, 0.0011289763850891566 ]
[ 2350, 6139, 1997, 1996, 4864, 1997, 1996, 2103, 2003, 6813, 1998, 2326, 1030, 1011, 1030, 8048, 3068, 1010, 2096, 1996, 3151, 6139, 2003, 5237, 1012, 102, 101, 2084, 3900, 19722, 2099, 2003, 2124, 2004, 1996, 1000, 5785, 4605, 1997, 6008, 10703, 1000, 1012, 16063, 2003, 1996, 8765, 1998, 1996, 2060, 8765, 4961, 2024, 2304, 13113, 1010, 15212, 1010, 16027, 1010, 18353, 12439, 2135, 1010, 17768, 2072, 1010, 2417, 13250, 1010, 2665, 13250, 1010, 28910, 1998, 21154, 1012, 1996, 2561, 7017, 1997, 2455, 4906, 2005, 13142, 2003, 5388, 1003, 1012, 2045, 2024, 2093, 3692, 2005, 5237, 1999, 2084, 3900, 19722, 2099, 1516, 13970, 6820, 3567, 2072, 1006, 2238, 2000, 2244, 1007, 1010, 29086, 1006, 2257, 2000, 2254, 1007, 1998, 22794, 27266, 2072, 1006, 2244, 1010, 2255, 2000, 2337, 1010, 2233, 1007, 1012, 1996, 2561, 5785, 2537, 2038, 2042, 5224, 2012, 2184, 1030, 1012, 1030, 6079, 2629, 1048, 1012, 1049, 1012, 1056, 1998, 1021, 1030, 1012, 1030, 5718, 2581, 1048, 1012, 1049, 1012, 1056, 1012, 1996, 2103, 4490, 2004, 1037, 15918, 2391, 2005, 2833, 17588, 9687, 2013, 1996, 13562, 2752, 1997, 1996, 6187, 22909, 2854, 7160, 1012, 7554, 7876, 2003, 6360, 2108, 2124, 2000, 1996, 6617, 1997, 2084, 3900, 19722, 2099, 1012, 2000, 20446, 5562, 4910, 3965, 7554, 7876, 2003, 2108, 7528, 1012, 2295, 5237, 2003, 1996, 2364, 3171, 4023, 1010, 2069, 1021, 1003, 1997, 1996, 2313, 2003, 2920, 1999, 2009, 1012, 2045, 2003, 1037, 2843, 1997, 4910, 3141, 6202, 2008, 3596, 1996, 3145, 3171, 4023, 1999, 1996, 2103, 1012, 102, 101, 2084, 3900, 19722, 2099, 2003, 2019, 2590, 2803, 1997, 6953, 15360, 1999, 6008, 10703, 1012, 2045, 2020, 3263, 6953, 15360, 3197, 1999, 1996, 2103, 1999, 2889, 2007, 2105, 3770, 1030, 1010, 1030, 2199, 2111, 2551, 1999, 2068, 1012, 1996, 18906, 10285, 2550, 1999, 1996, 4731, 4193, 2084, 3900, 19722, 2099, 2024, 2853, 1999, 2084, 3900, 19722, 2099, 1998, 9632, 4865, 1012, 4852, 2537, 5366, 1998, 2971, 2013, 2312, 1030, 1011, 1030, 4094, 6443, 2031, 4359, 1996, 2193, 1997, 2111, 2920, 1999, 1996, 2537, 1012, 1996, 2103, 7137, 4330, 3384, 7477, 2066, 2084, 3900, 19722, 2099, 3384, 7766, 1010, 4421, 4871, 15220, 1010, 20619, 2015, 1998, 9898, 8378, 2081, 1997, 6967, 1998, 4421, 1012, 1996, 2103, 2003, 1037, 2350, 7751, 1997, 6770, 2232, 2573, 5398, 1997, 4275, 1997, 7560, 24438, 1010, 21922, 1010, 17017, 2015, 1998, 2060, 4743, 20965, 9496, 5267, 1012, 9922, 1997, 3315, 5693, 2066, 2310, 8189, 1010, 17214, 8569, 2527, 1010, 6710, 1010, 27011, 22536, 22864, 1010, 22794, 14762, 1998, 22827, 4478, 2527, 2003, 2178, 3171, 4023, 1999, 1996, 2103, 1012, 102, 101, 2035, 2350, 2120, 5084, 5085, 2107, 2004, 2110, 2924, 1997, 2634, 1010, 2796, 2924, 1010, 2430, 2924, 1997, 2634, 1010, 9213, 2120, 2924, 1010, 2796, 6931, 2924, 1998, 2797, 5085, 2066, 24582, 28775, 2924, 1010, 2103, 2586, 2924, 2031, 2037, 5628, 1999, 2084, 3900, 19722, 2099, 1012, 2035, 2122, 5085, 2031, 2037, 12978, 21322, 6681, 2284, 1999, 2536, 3033, 1997, 1996, 2103, 1012, 102, 101, 102, 101, 1027, 1027, 28321, 1027, 1027, 102, 101, 102, 101, 2429, 2000, 2249, 2883, 1010, 2084, 3900, 19722, 2099, 2018, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.04417310313465321, 0.09973227524855373, 0.017809566511575302, 0.0007765635014551905, 0.05052912017677589, 0.0003279246367226993, 0.05196870479399868, 0.009179978635417132, 0.00043845326206270476, 0.000004385409314113567, 0.000006066824327172887, 0.03045197043841173, 0.029704171321037653, 0.00009984000260912526, 0.00003797472512986086, 0.000019949857939135552, 0.00008416709461904372, 0.03711723313285831, 0.002160392268402541, 0.05507901005485203, 0.06356092581412279, 0.00236453126569574, 0.00003136278239683161, 0.014664242835962774, 0.014327660357326681, 0.004214318233736611, 0.027357502392552198, 0.08290270270206296, 0.000032926050677308334, 0.04053947996624099, 0.002002063821053813, 0.09897524606233271, 8.82213084455252e-9, 0.00003264107740315716, 0.0027968292600533467, 0.012646617085661371, 0.00010363670464778939, 0.005558941682577869, 0.12034455495852112, 0.04227746531509771, 0.009065789736601609, 0.0014361350041440064, 0.018599920034647055, 0.0008778936054823362, 0.0001529798466150278, 8.822284302451402e-9, 0.000021810385586914265, 0.0018820813305916457, 0.001185356727772263, 0.0023435162853050486 ]
[ 2313, 1997, 19015, 1030, 1010, 1030, 6365, 2509, 2007, 1037, 3348, 1030, 1011, 1030, 6463, 1997, 1015, 1030, 1010, 1030, 5840, 2475, 3801, 2005, 2296, 1015, 1030, 1010, 1030, 2199, 3767, 1010, 2172, 2682, 1996, 2120, 2779, 1997, 6227, 2683, 1012, 1037, 2561, 1997, 2539, 1030, 1010, 1030, 6564, 2692, 2020, 2104, 1996, 2287, 1997, 2416, 1010, 9530, 21532, 2184, 1030, 1010, 1030, 23297, 3767, 1998, 1023, 1030, 1010, 1030, 5786, 2509, 3801, 1012, 5115, 26254, 1998, 5115, 6946, 14729, 2005, 1023, 1030, 1012, 1030, 2570, 1003, 1998, 1012, 2538, 1003, 1997, 1996, 2313, 4414, 1012, 1996, 2779, 8433, 1997, 1996, 2103, 2001, 6640, 1030, 1012, 1030, 2403, 1003, 1010, 4102, 2000, 1996, 2120, 2779, 1997, 5824, 1030, 1012, 1030, 5585, 1003, 1012, 2045, 2020, 1037, 2561, 1997, 6275, 1030, 1010, 1030, 4002, 2629, 3667, 1010, 9605, 3770, 2509, 8754, 11444, 6591, 1010, 1016, 1030, 1010, 1030, 27533, 2364, 4910, 24043, 1010, 1016, 1030, 1010, 1030, 6356, 2575, 1999, 2160, 2907, 6088, 1010, 3515, 1030, 1010, 1030, 19235, 2060, 3667, 1010, 1020, 1030, 1010, 1030, 6205, 2549, 14785, 3667, 1010, 7287, 14785, 8754, 11444, 6591, 1010, 17825, 14785, 4910, 24043, 1010, 23768, 14785, 3667, 1999, 4398, 6088, 1998, 1020, 1030, 1010, 1030, 23380, 2060, 14785, 3667, 1012, 2004, 2566, 1996, 3412, 2883, 1997, 2249, 1010, 2084, 3900, 19722, 2099, 1006, 1049, 1007, 2018, 6445, 1030, 1012, 1030, 6584, 1003, 18221, 1010, 1022, 1030, 1012, 1030, 4090, 1003, 7486, 1010, 1022, 1030, 1012, 1030, 5388, 1003, 8135, 1010, 1014, 1030, 1012, 1030, 5890, 1003, 26697, 1010, 1014, 1030, 1012, 1030, 5890, 1003, 7992, 2015, 1010, 1014, 1030, 1012, 1030, 5757, 1003, 17136, 2015, 1010, 1014, 1030, 1012, 1030, 2340, 1003, 2206, 2060, 11822, 1998, 1014, 1030, 1012, 1030, 5890, 1003, 2206, 2053, 4676, 2030, 2106, 2025, 5769, 2151, 3412, 12157, 1012, 102, 101, 2004, 1997, 2263, 1010, 1037, 2561, 1016, 1030, 1010, 1030, 5890, 2509, 1030, 1012, 1030, 4090, 5292, 1006, 1018, 1030, 1010, 1030, 5989, 2629, 1030, 1012, 1030, 1015, 4631, 1007, 1006, 4583, 1030, 1012, 1030, 1018, 1003, 1007, 1997, 1996, 2455, 2001, 2109, 2005, 5647, 1010, 2340, 1030, 1012, 1030, 3590, 5292, 1006, 2654, 1030, 1012, 1030, 1014, 4631, 1007, 1006, 1017, 1030, 1012, 1030, 5757, 1003, 1007, 2005, 3293, 1010, 6445, 1030, 1012, 1030, 6273, 5292, 1006, 19627, 1030, 1012, 1030, 1017, 4631, 1007, 1006, 1016, 1030, 1012, 1030, 2654, 1003, 1007, 2005, 3919, 1010, 13710, 1030, 1012, 1030, 1016, 5292, 1006, 6535, 2487, 4631, 1007, 1006, 1022, 1030, 1012, 1030, 6282, 1003, 1007, 2005, 2270, 1004, 4100, 2270, 1010, 10715, 1030, 1012, 1030, 2340, 5292, 1006, 25491, 1030, 1012, 1030, 1015, 4631, 1007, 1006, 1016, 1030, 1012, 1030, 5818, 1003, 1007, 2005, 4547, 1998, 5585, 2575, 1030, 1012, 1030, 5594, 5292, 1006, 1016, 1030, 1010, 1030, 4805, 2509, 1030, 1012, 1030, 1017, 4631, 1007, 1006, 2676, 1030, 1012, 1030, 4700, 1003, 1007, 2005, 5237, 1012, 6008, 2003, 1996, 4235, 5287, 2653, 1010, 2007, 1996, 3115, 9329, 2108, 2430, 6008, 9329, 1012, 12180, 1010, 2084, 3900, 19722, 2099, 18388, 1998, 7842, 4648, 4095, 6494, 2024, 2060, 4155, 5287, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0004608806321481947, 0.07713338876674873, 0.07254145348331976, 0.00000941413461618986, 1.1788087901415156e-8, 0.0582953352147124, 1.1788087901415156e-8, 0.001000135999075601, 0.0018148056166680216, 0.036105300359352235, 0.0011775890596680946, 0.00005135251106124667, 0.1445173893270189, 0.0004314705529088765, 0.04866902376773759, 0.00452014874018331, 0.00030080617342007147, 0.015341310847831286, 0.000012497105024665416, 0.00011107550202003127, 0.0005656892130865294, 0.00005833213242238283, 0.00025693457156770994, 0.0035267284138930047, 0.002309396301112637, 0.0000038117996769913514, 0.11336895346730558, 0.00006152281693825278, 0.0006284883657138012, 1.1788087901415156e-8, 0.0005170511062892637, 0.0039114713969068135, 0.00001561302061801494, 0.12547617687725587, 0.008242189485514029, 0.00003309016398588896, 0.00016437370416330264, 1.1788087901415156e-8, 0.0001051860382203665, 0.000006947158894621241, 0.00763350421248935, 0.000009851299550597557, 0.10236516409788664, 7.583029738513453e-7, 0.10440113297554182, 0.000014028294567560396, 0.0516204809830651, 0.00001674229891405818, 5.51746238116956e-7, 0.012192404809340978 ]
[ 1996, 2103, 1012, 2084, 3900, 19722, 2099, 2003, 1996, 3451, 1998, 2576, 2415, 1997, 1996, 2084, 3900, 19722, 2099, 18388, 2111, 1012, 2096, 18221, 2433, 1996, 3484, 1010, 1996, 2103, 2036, 2038, 1037, 6937, 2313, 1997, 7486, 1998, 8135, 1012, 3142, 10774, 1999, 2084, 3900, 19722, 2099, 2024, 6989, 2000, 1996, 3142, 3234, 5801, 1997, 9092, 5558, 2890, 1998, 19592, 2024, 6989, 2000, 1996, 13012, 11714, 1516, 9092, 5558, 2890, 5801, 1997, 1996, 2277, 1997, 2148, 2634, 1012, 1996, 14877, 2003, 9197, 2920, 1999, 2326, 3068, 5994, 3119, 1998, 6236, 1012, 2007, 1996, 4935, 1997, 1996, 2103, 2181, 1010, 1996, 6695, 2005, 5237, 2003, 3132, 1998, 2069, 1021, 1003, 1997, 2313, 2003, 2920, 1999, 2009, 1012, 102, 101, 102, 101, 1027, 1027, 3665, 1027, 1027, 102, 101, 102, 101, 1996, 2120, 10292, 6163, 1010, 3429, 2278, 1010, 21035, 1998, 21035, 4654, 2102, 2078, 3413, 2083, 2084, 3900, 19722, 2099, 1012, 1996, 2103, 2003, 4198, 2007, 12249, 1010, 2522, 5714, 14479, 5686, 1010, 9413, 10244, 1010, 10556, 6820, 2099, 1010, 14841, 21531, 3126, 1010, 2310, 7174, 2890, 1010, 2566, 3286, 10264, 3126, 1010, 10488, 21095, 3126, 1010, 2026, 26210, 2226, 1010, 10389, 1010, 12731, 25062, 20186, 1010, 6819, 7630, 9397, 27618, 1010, 14841, 6820, 5428, 2527, 13944, 6894, 1010, 5506, 24804, 1010, 13970, 11201, 19648, 3286, 1010, 2089, 11733, 8566, 2705, 24804, 1010, 13173, 7556, 2140, 1010, 10856, 2906, 12193, 4305, 1010, 6986, 8525, 22426, 5946, 2072, 1010, 11586, 4305, 24848, 1010, 16405, 28351, 23342, 15444, 1010, 13173, 5480, 21041, 1010, 14841, 15532, 2884, 15985, 2072, 1010, 8191, 14129, 1010, 9413, 2532, 28871, 1010, 6583, 4590, 3597, 4014, 1010, 14841, 21531, 25457, 1010, 13012, 6212, 21884, 1998, 1051, 4140, 2100, 2083, 3180, 3902, 2578, 1012, 2084, 3900, 19722, 2099, 2018, 1037, 2309, 3902, 7342, 2284, 2012, 1996, 2540, 1997, 1996, 2103, 1012, 2019, 6377, 3902, 7342, 1010, 2170, 2047, 3902, 3233, 2001, 3833, 1999, 2722, 2379, 10164, 14262, 14876, 4478, 2267, 2000, 5047, 1996, 4628, 4026, 1012, 2084, 3900, 19722, 2099, 2038, 1037, 2092, 1030, 1011, 1030, 5224, 4942, 1030, 1011, 1030, 3923, 2270, 3665, 2291, 1012, 2231, 1998, 2797, 7793, 5452, 4703, 2090, 1996, 2048, 3902, 2744, 5498, 1998, 2060, 4865, 1998, 4731, 2066, 11748, 10278, 1010, 13007, 2389, 3126, 1010, 14467, 21122, 4063, 1010, 10703, 15714, 27900, 1010, 17357, 4886, 13380, 4502, 6916, 1010, 11748, 10278, 16405, 24979, 13462, 4048, 1010, 12411, 5856, 4502, 6916, 1010, 12436, 23597, 18569, 2167, 1998, 13970, 6820, 3567, 4305, 4502, 6916, 1012, 102, 101, 1996, 2737, 2240, 7176, 14841, 6820, 5428, 2527, 13944, 6894, 5098, 2737, 2276, 2000, 12249, 1041, 21693, 5686, 3081, 2084, 3900, 19722, 2099, 1010, 1996, 2364, 2240, 2003, 1037, 3439, 2240, 2511, 2011, 2148, 2796, 2737, 2194, 1999, 7449, 1012, 1996, 2307, 2148, 2796, 2737, 2194, 1006, 28177, 4313, 1007, 3498, 1037, 5041, 7633, 4334, 2326, 2090, 26539, 4502, 6916, 13129, 1998, 14841, 6820, 5428, 2527, 12952, 3669, 3081, 2084, 3900, 19722, 2099, 2090, 6863, 1998, 7466, 1012, 2076, 7466, 2009, 2001, 4991, 2000, 1037, 8316, 7633, 2240, 1006, 11460, 2240, 1007, 1012, 2715, 2154, 2084, 3900, 19722, 2099, 2737, 5098 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0006969254081965587, 0.0012098956054591677, 0.06255284952889059, 0.07819969724589482, 0.0015515573155963872, 0.0027769414134505193, 0.0018552236579063666, 6.9561346151178485e-9, 0.02318132523385781, 0.007000898012604433, 0.05034306500296167, 6.9561346151178485e-9, 0.0008609944563866763, 0.0011787863680928336, 0.042665011578261476, 0.0026537899730501584, 0.022754486174014786, 9.206976791470881e-7, 0.00013084115179932775, 0.010907003436526095, 0.000034926779025165445, 0.042871626357424475, 0.00001650222203283001, 0.022575085971270222, 0.0009463402247709541, 0.000035186035462861236, 0.011112801450961433, 0.06258535630413946, 0.07801040888817307, 0.0195972758079411, 0.015900417345777577, 0.07561957153684311, 0.024406196982565423, 0.025783692726669527, 0.0001178713708275745, 0.0019366724119671873, 0.04486064952853563, 0.00039998973211907333, 0.028501151961598102, 0.02683415910495953, 0.05640032637222504, 0.0010778941370286805, 0.05923207352520485, 0.005078637796781361, 0.00006911982690051342, 0.0000050367041969184336, 0.04634476039985312, 0.0005055294720804728, 0.015348049669358483, 0.023272463180408313 ]
[ 2038, 2093, 4334, 4641, 2877, 2000, 14841, 6820, 5428, 2527, 12952, 3669, 1010, 13970, 11201, 19648, 3286, 1998, 16215, 4313, 2226, 10755, 3126, 1012, 2084, 3900, 19722, 2099, 2003, 4198, 2011, 4334, 2007, 2087, 2590, 3655, 1998, 4865, 1999, 2634, 1012, 2045, 2024, 3679, 4671, 4499, 2000, 12249, 1010, 20761, 1010, 9413, 2532, 28871, 1010, 16215, 6935, 26210, 1010, 14412, 4817, 2912, 2094, 1010, 2522, 5714, 14479, 5686, 1010, 9413, 10244, 1010, 14841, 21531, 5311, 1010, 14841, 6820, 5428, 2527, 12952, 3669, 1010, 10389, 1010, 10556, 6820, 2099, 1010, 5506, 24804, 1010, 14841, 15532, 2884, 15985, 2072, 1010, 8223, 2229, 11872, 2213, 1010, 14841, 6820, 8661, 24979, 1010, 12731, 25062, 20186, 1010, 20669, 24661, 1010, 6819, 7630, 9397, 27618, 1010, 15898, 2389, 4502, 4779, 2226, 1010, 10856, 2906, 12193, 4305, 1010, 8191, 14129, 1010, 11586, 4305, 24848, 1010, 13173, 5480, 21041, 1010, 24951, 25666, 24804, 1998, 4882, 4499, 2000, 14841, 21531, 10450, 1010, 20970, 5686, 1010, 2009, 11650, 2072, 1010, 9425, 15256, 4502, 2102, 13129, 1010, 9594, 3669, 1010, 12436, 9363, 4830, 11721, 2863, 1010, 15244, 1010, 17027, 10830, 2850, 1010, 6583, 25758, 1010, 14855, 10264, 5311, 1010, 2938, 2532, 1010, 10645, 3490, 1010, 16455, 10542, 1010, 13075, 5162, 5332, 1998, 1038, 6979, 27543, 26760, 2906, 1012, 2045, 2024, 6976, 4628, 4499, 2013, 1996, 2103, 2000, 4865, 2066, 16215, 4313, 2226, 10755, 3126, 1010, 26539, 4502, 6916, 13129, 1010, 13173, 7556, 2140, 1010, 14841, 6820, 5428, 2527, 12952, 3669, 1010, 13970, 11201, 19648, 3286, 1010, 2089, 11733, 8566, 2705, 24804, 1998, 6583, 20255, 2063, 1012, 102, 101, 1999, 1996, 2220, 4134, 1010, 2084, 3900, 19722, 2099, 2001, 4198, 2007, 12249, 3081, 1996, 12436, 10513, 3527, 4140, 3462, 2326, 1010, 2029, 2001, 3030, 2349, 2000, 3532, 15694, 1012, 1037, 2440, 1030, 1011, 1030, 26712, 2250, 2486, 2276, 2003, 6515, 2012, 2084, 3900, 19722, 2099, 1012, 2084, 3900, 19722, 2099, 2250, 2486, 2276, 2001, 2000, 2468, 1037, 2350, 2250, 2918, 2011, 2262, 1010, 2000, 5047, 4959, 1010, 3665, 2948, 1998, 2036, 25416, 16284, 2989, 2948, 1012, 2174, 1010, 1996, 5069, 1998, 13791, 1997, 2250, 2918, 2038, 2042, 8394, 2004, 1997, 2233, 2286, 1012, 1996, 24264, 2546, 2097, 2918, 1037, 3704, 1997, 2049, 10514, 10023, 10448, 10514, 1030, 1011, 1030, 2382, 10646, 13765, 26061, 8553, 4959, 2948, 2012, 2084, 3900, 19722, 2099, 1010, 2437, 2009, 1996, 2034, 4959, 3704, 1999, 6008, 10703, 1012, 1996, 7205, 3199, 2003, 14841, 6820, 5428, 2527, 12952, 3669, 2248, 3199, 1012, 1996, 7205, 2712, 6442, 2003, 2284, 2012, 26539, 4502, 6916, 13129, 1012, 102, 101, 102, 101, 1027, 1027, 3447, 1998, 4331, 1027, 1027, 102, 101, 102, 101, 1996, 3250, 1997, 9092, 5558, 2890, 2001, 2580, 1999, 7647, 2004, 1037, 2353, 3694, 3250, 2004, 2566, 2237, 8377, 2552, 6725, 1998, 3322, 5031, 1997, 2260, 2372, 1012, 1996, 2193, 2001, 3445, 2000, 2324, 1999, 7449, 1998, 2484, 1999, 7257, 1012, 1999, 6347, 1010, 1996, 2372, 2020, 26480, 2000, 11322, 1037, 4546, 19072, 2000, 2599, 2068, 1012, 9092, 5558, 2890, 2001, 9725, 2000, 1037, 2117, 3694, 3250, 1999, 4537, 1998, 2034, 3694, 1999, 3826, 1012, 2144, 3172, 1010, 2084, 3900, 19722, 2099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.021290942186648, 0.023142253599700385, 0.0033085233563173813, 0.0035107319791292347, 0.00018645009357395943, 6.644125364015754e-9, 0.000028470969065982197, 0.0007784353349310029, 0.05209971268402728, 0.0000026449159308954454, 0.0001070895022084381, 0.018032556692923783, 0.000007707461381340911, 0.03175630821184222, 0.19549739190360335, 0.02695453443107461, 0.003908629448617762, 0.024557603551461634, 0.0010029143082441918, 0.04698282858035686, 0.0009437134504979292, 0.02051794432694348, 0.041553711327349, 0.05172133739768521, 0.0007960883462779229, 0.0000021952241133293784, 0.0470239644221031, 0.000021817531757580353, 0.000010928371840350597, 0.00008571952858267371, 0.007172348849475703, 0.0003783179711684289, 0.019563346665764116, 0.09220981207139269, 0.048928699222834535, 0.000007198511738816744, 0.012594072437110027, 0.000020555822781750506, 0.006716367070056955, 0.0002797246502706871, 0.0002613825026037925, 0.000881852768220101, 0.000005162628578721465, 0.00017264426403943082, 0.019206318813661267, 0.04371833636581751, 0.02358610497274381, 0.001016213986512192, 0.00011469471596986431, 0.10733368992694534 ]
[ 2038, 2042, 1037, 2569, 3694, 3250, 1012, 1037, 2004, 1997, 2263, 1010, 1996, 3250, 4472, 2019, 2181, 1997, 4029, 1030, 1012, 1030, 3943, 2463, 2475, 1006, 2403, 1030, 1012, 1030, 6021, 5490, 2771, 1007, 1998, 2038, 1037, 2561, 1997, 4868, 2372, 1012, 1996, 4972, 1997, 1996, 3250, 2024, 16475, 16116, 2046, 2416, 7640, 1024, 2236, 1010, 3330, 1010, 6599, 1010, 2270, 2740, 1010, 2237, 4041, 1998, 1996, 3274, 3358, 1012, 2035, 2122, 7640, 2024, 2104, 1996, 2491, 1997, 1037, 4546, 5849, 2040, 2003, 1996, 4259, 3237, 2132, 1012, 1996, 4884, 4204, 2024, 26003, 1999, 1037, 2303, 1997, 5786, 2372, 1010, 2028, 2169, 2013, 1996, 5786, 11682, 1012, 1996, 4884, 2303, 2003, 3753, 2011, 2019, 2700, 19072, 7197, 2011, 1037, 4112, 19072, 1012, 102, 101, 2006, 2184, 2258, 2286, 1010, 1996, 2110, 2231, 2623, 1999, 1996, 3320, 2008, 2084, 3900, 19722, 2099, 3250, 2097, 2022, 9725, 2000, 1037, 4546, 3840, 1012, 2084, 3900, 19722, 2099, 2103, 3840, 2003, 3497, 2000, 2031, 2019, 2181, 1997, 7287, 1030, 1012, 1030, 2676, 2463, 2475, 1006, 4413, 1030, 1012, 1030, 5388, 5490, 2771, 1007, 1997, 2181, 1010, 2007, 1037, 2313, 1997, 1017, 1030, 1010, 1030, 2322, 1030, 1010, 1030, 6445, 2620, 1998, 2019, 3318, 1997, 1576, 27517, 1030, 1012, 1030, 1022, 2454, 1006, 2149, 1002, 1020, 1030, 1012, 1030, 1015, 2454, 1007, 1012, 1996, 4731, 16405, 8566, 4502, 6916, 13129, 1010, 16660, 4478, 23342, 15444, 1010, 7663, 17802, 15735, 1010, 11463, 10696, 3669, 1010, 17357, 4886, 13380, 4502, 6916, 1010, 14115, 16207, 9331, 27618, 1010, 14412, 14355, 2072, 1010, 23840, 2099, 1998, 27118, 2705, 15750, 16275, 19321, 2072, 2024, 3497, 2000, 2022, 2794, 2000, 1996, 4546, 3840, 6537, 1012, 2084, 3900, 19722, 2099, 2150, 2103, 3840, 2006, 2337, 2539, 1010, 2297, 1012, 102, 101, 2084, 3900, 19722, 2099, 3310, 2104, 1996, 2084, 3900, 19722, 2099, 2110, 3320, 5540, 1998, 2009, 27161, 1037, 2266, 2000, 1996, 6008, 10703, 4884, 3320, 2320, 2296, 2274, 2086, 1012, 2013, 1996, 3355, 3864, 1010, 1996, 3320, 2835, 2001, 2180, 2011, 2852, 18891, 2850, 14163, 10087, 6494, 10556, 27922, 16098, 2213, 1006, 1040, 2213, 2243, 1007, 2416, 2335, 2076, 1996, 3355, 1010, 3150, 1010, 2960, 1010, 2727, 1010, 2541, 1998, 2294, 3864, 1010, 1996, 2796, 2120, 3519, 2283, 2320, 2076, 1996, 3118, 3864, 1998, 1996, 2035, 2634, 4698, 2852, 18891, 2850, 14163, 10087, 6494, 10556, 27922, 16098, 2213, 1006, 9932, 4215, 2213, 2243, 1007, 3807, 2076, 1996, 2889, 1998, 2249, 3864, 1012, 1996, 2783, 18619, 1997, 1996, 5540, 2003, 1049, 1012, 14916, 12617, 24079, 2013, 9932, 4215, 2213, 2243, 1012, 1049, 1012, 10556, 26605, 3490, 19114, 1010, 2040, 2366, 2004, 1996, 2708, 2704, 1997, 6008, 10703, 2005, 1037, 2501, 2274, 3408, 1010, 2001, 2700, 2013, 1996, 2084, 3900, 19722, 2099, 3320, 5540, 1999, 1996, 3705, 3864, 1012, 102, 101, 2084, 3900, 19722, 2099, 2003, 2036, 1037, 2112, 1997, 1996, 2084, 3900, 19722, 2099, 13660, 11200, 5540, 1998, 27161, 1037, 2266, 2000, 1996, 13660, 11200, 1010, 1996, 2896, 2160, 1997, 1996, 3323, 1997, 2634, 1010, 2320, 2296, 2274, 2086, 1012, 1996, 13660, 11200, 2835, 2038, 2042, 2218, 2011, 1996, 2796, 2120, 3519, 2005, 2698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00002864534995871755, 0.05773046283291971, 0.0040338629011913785, 0.022534099431522445, 1.3424743515778338e-7, 0.00010241090735383771, 0.020689875051306206, 0.0037542151674649945, 0.0003736629280439379, 0.0002240730125246964, 0.19553739213484983, 0.000012237643996775456, 8.93747698599775e-9, 0.0017240832920669322, 0.0009749611941421219, 8.93747698599775e-9, 0.0007675772924792497, 0.005249143670001543, 0.07559774926815692, 8.93747698599775e-9, 0.0115100924689645, 0.000001778226871010654, 0.0028053081455195533, 0.00014613521654998707, 0.011323141443093201, 0.02310688340971496, 0.0004387182048575978, 0.08791134897974635, 0.003046692423696387, 0.0003584959671589166, 0.05082720099175613, 0.23505917755661415, 0.00033474910436706064, 0.045884847430659195, 0.008043738579490662, 0.00004619905921519883, 0.0037494106923638775, 0.009713885334438394, 0.038187044240185625, 0.0072677867478294226, 0.013396534248090985, 0.00017331176626783528, 0.019884077777587883, 0.00015388371985669327, 0.00000406151567777924, 0.0007793817087154698, 0.0006304557559027818, 0.0000028477152440760234, 0.0358781894942421, 8.93747698599775e-9 ]
[ 3408, 2076, 4131, 1516, 5179, 1010, 3890, 1516, 5786, 1010, 3705, 1516, 3476, 1010, 3150, 1516, 6391, 1010, 3118, 1516, 2960, 1010, 2960, 1516, 6205, 1998, 2889, 1516, 5986, 1010, 2852, 18891, 2850, 14163, 10087, 6494, 10556, 27922, 16098, 2213, 2005, 2698, 3408, 2076, 3476, 1516, 6390, 1010, 3411, 1516, 6255, 1010, 2727, 1516, 5818, 1010, 2687, 1516, 5585, 1010, 2639, 1030, 1011, 1030, 5840, 1010, 2432, 1516, 5641, 1998, 2268, 1516, 2556, 1998, 2035, 2634, 4698, 2852, 18891, 2850, 14163, 10087, 6494, 10556, 27922, 16098, 2213, 2005, 2028, 2744, 2076, 3355, 1516, 3770, 1012, 1054, 1012, 2310, 25804, 27115, 2386, 1010, 2040, 2366, 2004, 1996, 2343, 1997, 2634, 2013, 3055, 2000, 2826, 1010, 2001, 2700, 2013, 1996, 2084, 3900, 19722, 2099, 13660, 11200, 5540, 1999, 1996, 4131, 3864, 1012, 102, 101, 2375, 1998, 2344, 1999, 1996, 2103, 2003, 5224, 2011, 1996, 2084, 3900, 19722, 2099, 4942, 2407, 1997, 1996, 6008, 10703, 2610, 1010, 3753, 2011, 1037, 4112, 9133, 1006, 16233, 2361, 1007, 1012, 1996, 2084, 3900, 19722, 2099, 2212, 2504, 2610, 3447, 2003, 3753, 2011, 1037, 4112, 7742, 2236, 1997, 2610, 1010, 3005, 2436, 2003, 2284, 1999, 1996, 2103, 1012, 2045, 2024, 2416, 2610, 3703, 1999, 1996, 2103, 1010, 2028, 1997, 2068, 2108, 2019, 2035, 1030, 1011, 1030, 2308, 2610, 2276, 1012, 2045, 2024, 2569, 3197, 2066, 13574, 7285, 1010, 2212, 4126, 1010, 2591, 3425, 1998, 2529, 2916, 1010, 2212, 4126, 2636, 1998, 2569, 3589, 2008, 5452, 2012, 1996, 2212, 2504, 2610, 2407, 3753, 2011, 1037, 9133, 1997, 2610, 1006, 11867, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 2495, 1027, 1027, 102, 101, 102, 101, 2084, 3900, 19722, 2099, 2038, 1037, 2561, 1997, 2176, 5534, 1010, 8419, 1996, 6008, 2118, 1010, 21871, 6494, 2118, 1010, 26927, 3367, 2118, 1998, 2566, 8717, 2099, 29310, 14760, 2072, 2118, 1012, 1996, 6008, 2118, 2003, 1037, 2110, 2448, 2820, 1010, 2318, 2076, 3261, 1998, 4663, 2049, 15201, 5038, 2013, 1996, 2118, 8624, 3222, 1999, 3172, 1012, 2009, 2003, 1996, 2069, 2028, 1997, 2049, 2785, 2005, 1996, 6008, 2653, 2725, 3020, 2470, 1999, 6008, 6779, 1998, 3935, 2817, 1999, 2536, 6035, 5628, 2066, 15397, 1010, 5449, 1010, 16105, 3597, 12565, 1010, 2189, 1010, 3689, 1998, 8356, 6779, 1012, 102, 101, 2084, 3900, 19722, 2099, 2038, 1037, 2561, 1997, 2321, 2840, 1010, 2671, 1004, 2968, 6667, 1998, 3157, 3330, 6667, 1012, 1996, 2084, 3900, 19722, 2099, 2966, 2267, 2001, 2511, 1999, 3777, 1998, 2003, 2028, 1997, 1996, 4587, 2966, 6667, 1999, 6008, 10703, 1012, 1996, 16063, 6364, 2470, 2803, 1006, 4903, 11890, 1007, 1010, 2029, 2101, 2150, 1996, 2796, 2820, 1997, 10416, 6364, 2974, 1006, 2462, 21906, 2102, 1007, 1999, 2263, 1010, 2003, 1037, 9594, 2005, 2833, 6364, 2470, 1012, 1996, 7354, 26760, 10450, 27913, 3075, 2029, 5246, 2067, 2000, 1996, 2203, 1997, 1996, 5767, 2301, 1998, 1996, 2430, 3075, 1010, 3266, 2011, 1996, 2212, 3447, 2024, 1996, 2048, 2087, 4069, 8860, 1999, 1996, 2103, 1012, 102, 101, 2045, 2024, 2322, 5068, 2816, 1999, 2084, 3900, 19722, 2099, 1010, 18640, 2000, 1996, 3078, 1010, 3905, 1998, 3020, 3905, 4547, 3791, 1997, 1996, 2103, 1012, 2358, 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, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00013752268372334056, 0.0362866401586065, 0.0026849472270717386, 0.005013203389261976, 1.0069200580993997e-8, 0.002544408660450626, 0.0009112893908485686, 0.0467731516017052, 0.003262494042378252, 0.00020975255890965676, 0.001636929428686577, 0.00031243287495407953, 0.05773214709747921, 0.007721060275435285, 0.0008167095310997548, 0.015652803832179332, 0.02728607844051695, 0.019293414873287316, 0.0017395334492933696, 0.08688202769761869, 0.13022947230760137, 0.0011906876096950518, 0.05986983392238676, 0.0003591311170392041, 0.000006559373216071121, 1.0069200580993997e-8, 0.09435968699928364, 0.0013464793383078143, 0.01082760205103175, 0.04063188183117562, 0.000008537708831727712, 0.0015251848728252966, 0.005736846363710861, 0.0002987136388140949, 0.02890469605110751, 0.015008066172580693, 0.050160225303715576, 0.0013128885526476133, 0.002182135699519624, 0.0010532249583648143, 0.0019713609464022154, 0.08015460695085198, 0.00011399194197316885, 0.005242305054520774, 0.00461801772879863, 0.00023278908126535408, 0.000034130978454791765, 0.00018542421686884404, 0.033712040671976744, 0.11182691120512482 ]
[ 2848, 1005, 1055, 3020, 3905, 2082, 2012, 2084, 3900, 19722, 2099, 2001, 2511, 2011, 7065, 1012, 1039, 1042, 16756, 2076, 16496, 1012, 2761, 2511, 2004, 1037, 2267, 1010, 2009, 2001, 1996, 2034, 2082, 1999, 2148, 2634, 2029, 4036, 2394, 2000, 1996, 2334, 22508, 1012, 2358, 1012, 16262, 1005, 1055, 3020, 3905, 2082, 1010, 2511, 1999, 6571, 2011, 1996, 5801, 1997, 2084, 3900, 19722, 2099, 1010, 2003, 2028, 1997, 1996, 4587, 2816, 1999, 2084, 3900, 19722, 2099, 2212, 1012, 3017, 11743, 2209, 1037, 4069, 2535, 1999, 7694, 2394, 2495, 1999, 2084, 3900, 19722, 2099, 1012, 10556, 2135, 5162, 25168, 5400, 2213, 3020, 3905, 2082, 1010, 2511, 1999, 6607, 1010, 2003, 2028, 1997, 1996, 4587, 2816, 1999, 1996, 2103, 1012, 102, 101, 102, 101, 1027, 1027, 9710, 2578, 1027, 1027, 102, 101, 102, 101, 6451, 4425, 2000, 2084, 3900, 19722, 2099, 2003, 12222, 1998, 5500, 2011, 1996, 6008, 10703, 6451, 2604, 1006, 28286, 15878, 1007, 1012, 1996, 2103, 2247, 2007, 2049, 9435, 2003, 1037, 2112, 1997, 13012, 11714, 6451, 4353, 4418, 1012, 2300, 4425, 2003, 3024, 2011, 1996, 2084, 3900, 19722, 2099, 3840, 2013, 1996, 12436, 29045, 2906, 5033, 1010, 8127, 2083, 8964, 7286, 2284, 1999, 2536, 3033, 1997, 1996, 2103, 1012, 2076, 1996, 2456, 1516, 5890, 2558, 1010, 1037, 2561, 1997, 2861, 2454, 25783, 1997, 2300, 2001, 8127, 10126, 2005, 3911, 1999, 1996, 2103, 1012, 102, 101, 2055, 7287, 12046, 11000, 1997, 5024, 5949, 2024, 5067, 2013, 2084, 3900, 19722, 2099, 2296, 2154, 2011, 2341, 1030, 1011, 1030, 2000, 1030, 1011, 1030, 2341, 3074, 1998, 3525, 1996, 3120, 18771, 1998, 23642, 2003, 3344, 2041, 2011, 1996, 25480, 2533, 1997, 1996, 2084, 3900, 19722, 2099, 3840, 1012, 1996, 6325, 1997, 5024, 5949, 2968, 2018, 2019, 8122, 1997, 2531, 1003, 2004, 1997, 2541, 1012, 1996, 5230, 11987, 2291, 4472, 3963, 1003, 1997, 1996, 2103, 1998, 1996, 3588, 22365, 4270, 2291, 2005, 13148, 1997, 21396, 20679, 2003, 2083, 17419, 2594, 7286, 1010, 2330, 18916, 1998, 2270, 15106, 2015, 1012, 1996, 3840, 9319, 1037, 2561, 1997, 14168, 2463, 1006, 5986, 2771, 1007, 1997, 4040, 2300, 18916, 1024, 5187, 1030, 1012, 1030, 2676, 2463, 1006, 3943, 1030, 1012, 1030, 2184, 2771, 1007, 15791, 18916, 1998, 7886, 1030, 1012, 1030, 6421, 2463, 1006, 6191, 1030, 1012, 1030, 2538, 2771, 1007, 4895, 18194, 18916, 1012, 102, 101, 2045, 2024, 4261, 8323, 1998, 2698, 6612, 13625, 1999, 2084, 3900, 19722, 2099, 2008, 2202, 2729, 1997, 1996, 2740, 2729, 3791, 1997, 1996, 4480, 1012, 2045, 2024, 1037, 2561, 1997, 1023, 1030, 1010, 1030, 6356, 2629, 2395, 14186, 1024, 4749, 2475, 13365, 14186, 1010, 1016, 1030, 1010, 1030, 5757, 2487, 8714, 12436, 27757, 14186, 1010, 1021, 1030, 1010, 1030, 8380, 7270, 4597, 1998, 4376, 2152, 15429, 7504, 14186, 1012, 1996, 3840, 5748, 2093, 6089, 1010, 8419, 1996, 14262, 14876, 4478, 3006, 1010, 28599, 2099, 20087, 16207, 2319, 3006, 1998, 27829, 5400, 3501, 3006, 1998, 2178, 3006, 1010, 1996, 4942, 14672, 3490, 3148, 20087, 12849, 4014, 3006, 1010, 2003, 5224, 2011, 1996, 4942, 14672, 6200, 20087, 3379, 3691, 1012, 2084, 3900, 19722, 2099, 3310, 2104, 1996, 2084, 3900, 19722, 2099, 18126, 4418, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.007185642117679331, 0.0012408102537470606, 0.000009693329560465203, 0.06000074172260618, 0.005848643220874862, 0.0007093489532331387, 0.005432134946989366, 0.00004331246432396733, 0.00003715335153146341, 0.0020883040503251846, 0.0008930628555438875, 0.00014873771583153133, 0.0000029504337921268897, 2.3845924350069916e-7, 0.09640295542997289, 0.004971414180470782, 0.044767922570313125, 0.004820375243793249, 0.02956172616417524, 0.0010744327975208757, 0.05790720898083111, 0.018735803237282023, 0.006243716608671345, 0.10830144386202571, 0.00000769611912128519, 0.0002497944084845686, 0.003357756064164368, 0.012537191209772347, 0.012029244357332694, 0.00014789977159108053, 0.0810558265560507, 0.04691332337975488, 0.012610064711892986, 0.059984202231077456, 0.0000013130867906392243, 8.416112816310013e-9, 0.00002441025720122315, 0.04855255320789289, 0.000004648918894250907, 0.00029305524490210914, 0.000852684544600816, 0.16435582171859253, 0.05140918917444159, 0.00007159025278551021, 0.023478280328054595, 0.0012244679946734444, 0.014191326737942597, 0.002188634178104877, 0.007867117813913683, 0.00016412636551568606 ]
[ 1038, 28074, 2624, 7507, 2099, 9152, 22864, 3132, 1006, 18667, 20554, 1007, 1010, 2634, 1005, 1055, 2110, 1030, 1011, 1030, 3079, 18126, 1998, 4274, 2578, 10802, 1012, 4237, 2013, 18126, 1010, 18667, 20554, 2036, 3640, 19595, 4274, 2326, 1012, 1996, 3164, 12293, 2436, 13012, 11714, 5748, 1037, 12293, 7367, 3567, 13812, 1006, 8827, 2243, 1007, 1999, 2084, 3900, 19722, 2099, 1012, 2084, 3900, 19722, 2099, 8827, 2243, 4472, 1996, 26539, 13944, 6916, 13129, 1010, 16215, 4313, 2226, 10755, 3126, 1010, 2084, 3900, 19722, 2099, 1010, 16405, 28351, 23342, 15444, 1010, 1998, 10488, 21095, 3126, 6599, 4733, 1012, 102, 101, 102, 101, 102, 101, 1027, 2344, 1997, 2358, 4754, 1027, 102, 101, 102, 101, 1996, 2087, 26150, 2344, 1997, 3002, 4754, 2003, 1037, 22170, 2329, 2344, 1997, 9610, 10175, 2854, 3378, 2007, 3163, 1012, 1996, 2344, 2001, 2580, 1999, 15331, 2011, 2577, 3523, 2012, 1996, 5227, 1997, 1996, 2059, 2935, 1030, 1011, 1030, 3812, 1010, 2935, 17836, 1012, 1996, 3180, 4325, 1997, 7307, 1997, 3002, 4754, 6354, 2127, 4798, 1010, 2043, 2087, 1997, 3163, 2150, 2981, 2004, 1996, 3493, 2489, 2110, 1012, 2096, 1996, 2344, 10892, 2145, 6526, 1010, 2053, 5000, 1997, 2358, 4754, 2038, 2042, 2580, 2144, 4266, 1010, 1998, 1996, 2197, 6405, 5000, 1010, 3159, 2888, 1010, 3804, 1997, 13370, 1010, 2351, 1999, 3326, 1012, 1996, 3035, 1010, 2174, 1010, 3464, 1996, 11074, 1997, 1996, 2344, 1010, 1998, 2028, 2961, 1010, 1996, 11059, 2332, 1997, 2608, 1006, 2085, 4117, 2007, 4496, 13238, 2332, 1997, 2608, 1007, 1010, 2036, 13655, 1012, 2358, 4754, 2003, 9161, 1997, 1996, 2344, 1025, 2049, 12652, 2003, 21864, 2015, 19802, 5400, 16313, 1029, 1010, 3763, 2005, 1000, 2040, 2097, 3584, 1031, 2149, 1033, 1029, 1000, 1024, 2019, 2035, 14499, 2000, 1996, 24728, 27887, 2618, 5449, 1997, 10900, 1022, 1024, 3486, 1010, 1000, 2040, 4618, 3584, 2149, 2013, 1996, 2293, 1997, 4828, 1029, 1000, 102, 101, 2087, 2329, 4449, 1997, 9610, 10175, 2854, 3104, 1996, 2972, 2983, 1010, 2021, 1996, 2093, 2087, 4654, 2389, 3064, 3924, 2169, 2566, 18249, 2000, 2028, 13794, 3842, 2069, 1012, 1996, 2344, 1997, 2358, 4754, 1010, 2029, 2566, 18249, 2015, 2000, 3163, 1010, 2003, 1996, 2087, 3502, 1997, 2122, 2093, 1999, 23359, 1998, 2287, 1012, 2049, 5662, 1999, 2563, 1010, 1996, 2087, 7015, 2344, 1997, 1996, 11721, 19418, 1010, 2003, 1996, 4587, 2344, 1997, 9610, 10175, 2854, 1999, 1996, 2142, 2983, 1010, 5306, 2000, 1996, 2690, 15276, 2301, 1012, 1996, 4104, 5662, 2003, 1996, 2087, 3418, 1998, 2087, 7015, 2344, 1997, 1996, 24328, 1010, 5306, 1999, 2049, 2715, 2433, 2000, 16923, 2581, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2220, 2381, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2344, 2001, 2631, 1999, 15331, 1010, 1037, 2095, 2044, 1996, 3946, 1997, 6937, 12645, 2000, 3163, 1010, 2004, 1037, 2965, 1997, 10377, 2075, 1006, 2030, 11381, 1007, 2576, 2490, 1999, 1996, 3493, 3323, 1012, 1996, 2344, 1997, 1996, 7198, 1010, 2631, 1999, 25651, 1010, 2001, 14948, 2005, 2714, 4436, 1012, 1996, 18574, 1997, 1996, 2344, 7775, 5779, 2000, 2273, 2040, 2020, 2119 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.005007194570529943, 0.05109111489563918, 0.0008381268671477051, 0.000007638625533163139, 0.05792969231333294, 0.0018875299368119906, 0.038400369146165854, 0.005164251046821452, 0.045191932874609396, 0.00007334670442437655, 0.00021597655010522772, 0.0005767676829415859, 0.08926735361746863, 0.034369445527704164, 0.05676531804443407, 0.0007540920451586631, 4.104734229103528e-8, 0.1382646747770647, 0.001787936982853135, 0.026854573776206113, 8.336629062952123e-7, 0.0006365456790047278, 0.0018849101372028026, 9.172612048043486e-9, 0.0008807271753911242, 0.00003928766568525743, 0.0003509889557583196, 9.172612048043486e-9, 0.07441068956198817, 0.04231795346717445, 0.043718704523500816, 0.000008753627025272723, 0.041298076112292394, 0.00001468200229308017, 0.00016687800120185518, 0.016624975468800558, 0.006373325796428204, 0.0022021029579282277, 0.06903339239041037, 9.172612048043486e-9, 0.0002832265899928907, 9.172612048043486e-9, 0.0006186728990843107, 0.00003323838630436305, 0.03438285381924096, 0.01628908407816492, 0.002428876105008528, 0.021013426844191836, 0.07053776618666135, 0.0000026141836162800716 ]
[ 7307, 1998, 11218, 1010, 1996, 3732, 2108, 4225, 2004, 2383, 2093, 8213, 1997, 1000, 13969, 3366, 1000, 1006, 1045, 1012, 1041, 1012, 10748, 7682, 15695, 1997, 2608, 1007, 2006, 2119, 2037, 2269, 1005, 1055, 1998, 2388, 1005, 1055, 2217, 1012, 1999, 3218, 1010, 2174, 1010, 2069, 3493, 12746, 1006, 1998, 8138, 3097, 12000, 2007, 2702, 8918, 2030, 2053, 3493, 7264, 1007, 2020, 2412, 2805, 2000, 1996, 2344, 1012, 1996, 2892, 1997, 2358, 4754, 1006, 1037, 2417, 5474, 7442, 2006, 1037, 2317, 4281, 1007, 2001, 4217, 2004, 2028, 1997, 1996, 9255, 1997, 1996, 2344, 1012, 1037, 5210, 1997, 2023, 2640, 2001, 2101, 5100, 2046, 1996, 2586, 5210, 1012, 2049, 2523, 2007, 2358, 1012, 4754, 2030, 2007, 3163, 3188, 2000, 1996, 3192, 1997, 1996, 2344, 2003, 10599, 1010, 2174, 1012, 2028, 1997, 1996, 2034, 7307, 2001, 1996, 3416, 3804, 1997, 15684, 1010, 3005, 2608, 4287, 1996, 2168, 2892, 1012, 102, 101, 1996, 2344, 1997, 2358, 4754, 3687, 2248, 6325, 2043, 1010, 1999, 5528, 1010, 2049, 16751, 1010, 2124, 3227, 2004, 1996, 3493, 4410, 15565, 1010, 2020, 7376, 2013, 1996, 12003, 3578, 1999, 5772, 3317, 3859, 2077, 1037, 3942, 2011, 1996, 2344, 1005, 1055, 11074, 1010, 2332, 3487, 8890, 1012, 2037, 18913, 3961, 1037, 6547, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2695, 1030, 1011, 1030, 4798, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2197, 2512, 1030, 1011, 1030, 2548, 2805, 2000, 1996, 2344, 2001, 2508, 5226, 1010, 3822, 3804, 1997, 14863, 29566, 6826, 1999, 4798, 1010, 2040, 2366, 2004, 1996, 2034, 3099, 1997, 2642, 3163, 1012, 2043, 1996, 3493, 2489, 2110, 2187, 1996, 2142, 2983, 2008, 2168, 2095, 1010, 1996, 3493, 3237, 2473, 2104, 1059, 1012, 1056, 1012, 2522, 28745, 22401, 4900, 2000, 2191, 2053, 2582, 14651, 2000, 1996, 2344, 1012, 1996, 2329, 2231, 2506, 2000, 20432, 8069, 2005, 1996, 2344, 1005, 1055, 6308, 2004, 1037, 6090, 1030, 1011, 1030, 3493, 5145, 1012, 3568, 1010, 2096, 2045, 2001, 2053, 3423, 2030, 6543, 3347, 2000, 1996, 2329, 2231, 5719, 2000, 2191, 14651, 2013, 2426, 2329, 5739, 6319, 1999, 2642, 3163, 1010, 2009, 4900, 2025, 2000, 2079, 2061, 1012, 102, 101, 2144, 2059, 1010, 2069, 2093, 2111, 2031, 2042, 2805, 2000, 1996, 2344, 1010, 2035, 2372, 1997, 1996, 2329, 2548, 2155, 1012, 1996, 2059, 1030, 1011, 1030, 3159, 1997, 3575, 1006, 1996, 2925, 2332, 3487, 9937, 1998, 2101, 3804, 1997, 10064, 1007, 2001, 2805, 1999, 4764, 1998, 2010, 3920, 3428, 1010, 3159, 2888, 1010, 3804, 1997, 13370, 1010, 1999, 4579, 1998, 3159, 4789, 1010, 3804, 1997, 2259, 1006, 2101, 2332, 2577, 6819, 1007, 1010, 1999, 4266, 1012, 102, 101, 2009, 2003, 3497, 2008, 2122, 14651, 2020, 2641, 2825, 2138, 1996, 3493, 2489, 2110, 2506, 2000, 17614, 1996, 2329, 11590, 2004, 2049, 2880, 2132, 1997, 2110, 1012, 1999, 4347, 1010, 2174, 1010, 1996, 3493, 2489, 2110, 4233, 1037, 2047, 4552, 1010, 14259, 1996, 4410, 1005, 1055, 2597, 1999, 3493, 3821, 20080, 1012, 1996, 27637, 2001, 10395, 2260, 2086, 2101, 2043, 1996, 3493, 2489, 2110, 6246, 4161, 2993, 1037, 3072, 1998, 2187, 1996, 2329, 5663, 1012, 1996, 3978, 2005, 2107, 14651, 2947, 7024, 1998, 2053, 2582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.006078787007036794, 0.018312023934490326, 0.009384149002228242, 0.013861227793356506, 0.06786900268522082, 0.0436633212865014, 0.02881336890229788, 0.00006094423491089776, 0.002475581508934942, 0.01709110565125576, 0.07804150230875315, 0.0015746174005595406, 0.00004085361335095017, 0.040290191773629636, 0.04772024659866437, 0.00006134618706356843, 0.06907101255593015, 0.08909506919964624, 0.0026115623053133384, 0.003637284944220996, 0.012790270082201093, 0.00027040926289981085, 0.0035633862715704714, 0.11143930033281044, 0.008475706627963087, 2.3482330065016218e-7, 0.0020641180454339936, 0.03040849191939509, 0.0006086002032269339, 0.006852426023261483, 0.02282265349933732, 0.050016366784269996, 0.014431989772245968, 0.034342657305651315, 0.07360528524368763, 0.0036884969203846625, 0.0004026810790601146, 0.01659962073413958, 0.0010419055095513719, 0.017679346340760745, 0.011600413898204683, 0.0008614215568570401, 0.031128765718996775, 0.0002589374677536738, 0.00027342234874317393, 0.0026337783902250244, 0.00028857208227876183, 0.0020482227805737286, 3.4354458902336873e-7, 0.00004897653726067311 ]
[ 3924, 2031, 2042, 2081, 1012, 102, 101, 1996, 3804, 1997, 13370, 2012, 2010, 2331, 1999, 3326, 2001, 1996, 2197, 6405, 2266, 1997, 1996, 2344, 1012, 1996, 2197, 2542, 2512, 1030, 1011, 1030, 2548, 2266, 1997, 1996, 2344, 1010, 1996, 6280, 4656, 1997, 9093, 2229, 4917, 1010, 2351, 1999, 3777, 1012, 1996, 2344, 2038, 1010, 2174, 1010, 2196, 2941, 2042, 8961, 1998, 2049, 15218, 2038, 2042, 6936, 1999, 3493, 2231, 7925, 2006, 1037, 2193, 1997, 6642, 1998, 2196, 9505, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2825, 6308, 1027, 1027, 1027, 102, 101, 102, 101, 3539, 2704, 10180, 10888, 4081, 7065, 14966, 1996, 2344, 1999, 3826, 2000, 17614, 1996, 2578, 1997, 2236, 1996, 10189, 1012, 2909, 7157, 3656, 1999, 13437, 1010, 2021, 1996, 5448, 1997, 1996, 2060, 7767, 1998, 2942, 8858, 2001, 2008, 2009, 2052, 6314, 1996, 8041, 5703, 2090, 2414, 1998, 5772, 1012, 20216, 5562, 6776, 5977, 3393, 9335, 2015, 2641, 7065, 14966, 1996, 2344, 2076, 1996, 4120, 1010, 2021, 2106, 2025, 2202, 1037, 3247, 1012, 102, 101, 1996, 4552, 1997, 3163, 3640, 1010, 1000, 4486, 1997, 11760, 4618, 2025, 2022, 15186, 2011, 1996, 2110, 1000, 1006, 3720, 2871, 1030, 1012, 1030, 1016, 1030, 1012, 1030, 1015, 1080, 1007, 1998, 1000, 2053, 2516, 1997, 11760, 2030, 1997, 6225, 2089, 2022, 3970, 2011, 2151, 6926, 3272, 2007, 1996, 3188, 6226, 1997, 1996, 2231, 1000, 1006, 3720, 2871, 1030, 1012, 1030, 1016, 1030, 1012, 1030, 1016, 1080, 1007, 1012, 3423, 8519, 2024, 4055, 2006, 3251, 2023, 11075, 25822, 1996, 21467, 1997, 5779, 1997, 1996, 2344, 1997, 2358, 4754, 2000, 3493, 4480, 1010, 2021, 2070, 6592, 2008, 1996, 7655, 1000, 4486, 1997, 11760, 1000, 12748, 14800, 18760, 2015, 1998, 2060, 7015, 4486, 1010, 2025, 6480, 8762, 2107, 2004, 5000, 9021, 2015, 1012, 1999, 2151, 2553, 1010, 2019, 3493, 6926, 2052, 5478, 1996, 6226, 1997, 1996, 2231, 1997, 3163, 2000, 4374, 2019, 2400, 2013, 1037, 16323, 11590, 1997, 1996, 2142, 2983, 1999, 2023, 5450, 1012, 102, 101, 102, 101, 1027, 1027, 5512, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2372, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2329, 11590, 2003, 11074, 1997, 1996, 2344, 1997, 2358, 4754, 1012, 1996, 2935, 3812, 1997, 3163, 1010, 1996, 11590, 1005, 1055, 4387, 1999, 3163, 1010, 2366, 2004, 1996, 2882, 3040, 1012, 1996, 2436, 1997, 2935, 3812, 2001, 8961, 1999, 4798, 1025, 1996, 2197, 2935, 3812, 1998, 2882, 3040, 2001, 1996, 3083, 12182, 27706, 7911, 2078, 1997, 4315, 12449, 2102, 1012, 2738, 15056, 1010, 1996, 18574, 1997, 1996, 2344, 2106, 2025, 3073, 2008, 1996, 2882, 3040, 2022, 4914, 2000, 1996, 2344, 2004, 1037, 3043, 1997, 2157, 1012, 2096, 2070, 8140, 3812, 2020, 1999, 2755, 2805, 2000, 1996, 2344, 1010, 2023, 3849, 2000, 2031, 2042, 1996, 6453, 2738, 2084, 1996, 3627, 1012, 102, 101, 1996, 2344, 2761, 5031, 1997, 5417, 7307, 1999, 2804, 2000, 1996, 11074, 1012, 1999, 11723, 1010, 2174, 1010, 2577, 4921, 2805, 2416, 3176, 7307, 1025, 2002, 2106, 2025, 3277, 1037, 2548, 10943, 3166, 9355, 1996, 2689, 2127, 9500, 1012, 2520, 4921, 6246, 2904, 1996, 18574, 1999, 11040, 1010, 4852, 1996, 5787 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.003847976502605299, 0.0011390237456488372, 0.055820294648689865, 0.006867535877371446, 0.042857104662843204, 0.0037820377487120605, 0.004726455677977078, 0.09175139374821968, 0.005060797778012037, 0.0074648896720517985, 0.001010384760674599, 0.015032192040922486, 0.01138072165387977, 0.00027007971938278273, 0.04135008695636706, 0.009474167625366934, 0.0012273079214348863, 0.08259370297811318, 0.039549951616380925, 0.009468754776731581, 0.053830298255522414, 0.10494553367047155, 0.08982570957491481, 0.0000015677682131640686, 0.03294261593667756, 0.00007789325694021514, 0.00034035562913230905, 0.0430968831488739, 0.015347676712291662, 1.1546444128201463e-8, 0.01955016758008513, 0.0295801844434375, 0.0004984071904001986, 0.00033184076475059073, 0.00041885216904863375, 0.008416764851736662, 0.0005117824985525642, 0.00016144336030639964, 0.007243183715483588, 0.0019545137955520047, 0.001898893416802707, 0.006489785692096464, 0.06296886010841857, 0.006473865249758752, 0.03573086122382551, 0.00017715747480135033, 0.0021926888731944563, 0.021744678320105224, 0.003267392774917563, 0.01530527088585881 ]
[ 2000, 3174, 1030, 1011, 1030, 2048, 7307, 1012, 102, 101, 1996, 2434, 18574, 1010, 2241, 4600, 2006, 2216, 1997, 1996, 2344, 1997, 1996, 11721, 19418, 1010, 16250, 2008, 2151, 15619, 2323, 2022, 3561, 2011, 1996, 11074, 2588, 1996, 6488, 1997, 1996, 2372, 1012, 2169, 5000, 2001, 2000, 16599, 3157, 5347, 1010, 1997, 3183, 2093, 2018, 2000, 2031, 1996, 4635, 1997, 4656, 2030, 3020, 1010, 2093, 1996, 4635, 1997, 5797, 2030, 3020, 1010, 1998, 2093, 1996, 4635, 1997, 5000, 2030, 3020, 1010, 1998, 1037, 3789, 2579, 1012, 1999, 3218, 2023, 2291, 2001, 2196, 2109, 1025, 1996, 2882, 3040, 2052, 23388, 1037, 8152, 1010, 1996, 11074, 2052, 2788, 27195, 1010, 1998, 1037, 3127, 3116, 2218, 2012, 2029, 1996, 7307, 1000, 2700, 1000, 1996, 2047, 2266, 1012, 1996, 2344, 1997, 2358, 4754, 19541, 2013, 2049, 2394, 1998, 4104, 14562, 1010, 1996, 4449, 1997, 1996, 11721, 19418, 1998, 1996, 24328, 1010, 1999, 2069, 2412, 28050, 12746, 1998, 12000, 1012, 2308, 2020, 2196, 4914, 2000, 1996, 2344, 1997, 2358, 4754, 1025, 2027, 2020, 2025, 7792, 2000, 2468, 2372, 1997, 1996, 2060, 2048, 4449, 2127, 3055, 1012, 1996, 2069, 2450, 2000, 2022, 2112, 1997, 1996, 2344, 2001, 3035, 3848, 1010, 1999, 2014, 3977, 2004, 11074, 1997, 1996, 2344, 1012, 2348, 2009, 2001, 3378, 2007, 1996, 2511, 2277, 1997, 3163, 2127, 7428, 1010, 2195, 3142, 10774, 2020, 2805, 2000, 1996, 2344, 2802, 2049, 2381, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3738, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2344, 1997, 2358, 4754, 3322, 2018, 7093, 3738, 1024, 1996, 26595, 1010, 1996, 7306, 1010, 1996, 24580, 1010, 1996, 20774, 1010, 1996, 3187, 1010, 1996, 4962, 23067, 24063, 1010, 1996, 2332, 1997, 2608, 1010, 2048, 9536, 2015, 1998, 2176, 16405, 2869, 10179, 18941, 2015, 1012, 2116, 1997, 2122, 4822, 2020, 2218, 2011, 11646, 3549, 1997, 1996, 2277, 1997, 3163, 1010, 1996, 2059, 1030, 1011, 1030, 2511, 2277, 1012, 2044, 1996, 4487, 8583, 2696, 16558, 21808, 1997, 1996, 2277, 1999, 7428, 1010, 1996, 14925, 18954, 7951, 14606, 2020, 3039, 2000, 3961, 1999, 2436, 2127, 2037, 6677, 1010, 2043, 1996, 4822, 2020, 2593, 8961, 2030, 18026, 2000, 3913, 4584, 1012, 2035, 4822, 3272, 2008, 1997, 24580, 1998, 2332, 1997, 2608, 2024, 2085, 10030, 1012, 102, 101, 1996, 2436, 1997, 26595, 2001, 2218, 2011, 1996, 2935, 6507, 1997, 24678, 1010, 1996, 2087, 3026, 22232, 1999, 1996, 2277, 1997, 3163, 1012, 1996, 26595, 2001, 2025, 3855, 1999, 1996, 2434, 18574, 1010, 2021, 2580, 2011, 1037, 10943, 3859, 5728, 1010, 4593, 2138, 1996, 6507, 2012, 1996, 2051, 2018, 2356, 2000, 2022, 2805, 2000, 1996, 2695, 1012, 2144, 1996, 2331, 1997, 1996, 2197, 9111, 1999, 6571, 1010, 1996, 2436, 1997, 26595, 2038, 2815, 10030, 1012, 102, 101, 1996, 2277, 1997, 3163, 1005, 1055, 2117, 3284, 29307, 1010, 1996, 2935, 6507, 1997, 5772, 1010, 2761, 2366, 2004, 1996, 7306, 1997, 1996, 2344, 1012, 2013, 6929, 9921, 1010, 1996, 2436, 2001, 2218, 2612, 2011, 1996, 2708, 3187, 2005, 3163, 1012, 2144, 1996, 15766, 1997, 1996, 2597, 1997, 2708, 3187, 1999, 4798, 1010, 1996, 2436, 1997, 7306, 2038, 2815, 10030, 1012, 1996, 4670, 1997, 2358, 4754, 1005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00018729488080256385, 0.00004930659138078944, 0.030200745376379755, 0.0003557870251047498, 0.003102520036280637, 0.04539983777751014, 0.00030362025170216307, 0.00002703982372133619, 0.0000406490950234025, 0.0075686355302024945, 9.996071543884349e-9, 0.00012088370883297786, 0.000012558810605858586, 0.0000011512609255832132, 0.02860604349515665, 0.0005543371525538621, 0.000006831014668427237, 0.00013555041598905488, 0.03232235695569754, 0.000011157452341680885, 0.027231163532052228, 0.000024929280100334817, 0.0007977875423264865, 0.06907606862122263, 0.001218788390790582, 9.996071543884349e-9, 0.00011596849016051822, 0.000037671370423354695, 0.08414908190669904, 0.000044941522961189655, 0.000007087904963754748, 0.0004921563700260611, 0.000022169195242697912, 0.11922676590473699, 9.996071543884349e-9, 0.00015007628333591012, 0.000021436879205698343, 0.016560735103751847, 0.10027192947195486, 0.005693401846222362, 0.004287180967561363, 0.0881035350426105, 0.19928494055716064, 0.05334126711354041, 0.0022901531106266295, 0.003447966723762345, 0.0000019002203688354718, 0.000018977876343300388, 0.000026384883210903027, 0.07504919724554411 ]
[ 1055, 5040, 2001, 2761, 1996, 24580, 1997, 1996, 2344, 1012, 1999, 6193, 1010, 2006, 1996, 2331, 1997, 1996, 4670, 2040, 2018, 2218, 1996, 2695, 1999, 2012, 1996, 2051, 1997, 4487, 8583, 2696, 16558, 21808, 1010, 1996, 2436, 2001, 4987, 2000, 2008, 1997, 1996, 2332, 1997, 2608, 1997, 1996, 2344, 1012, 2023, 2597, 2001, 2218, 2011, 11059, 2332, 1997, 2608, 1010, 3163, 1005, 1055, 2708, 28867, 2880, 1010, 1037, 2695, 2029, 2018, 2042, 2580, 1999, 14168, 2475, 1012, 1999, 3826, 1010, 2023, 2695, 2001, 1999, 3466, 4055, 1999, 2048, 1010, 10842, 1996, 13571, 1997, 3163, 1999, 1996, 2231, 1997, 3163, 2552, 1010, 4444, 1012, 1996, 2597, 1010, 16021, 11253, 2906, 2004, 2009, 3141, 2000, 2642, 3163, 1010, 2001, 4117, 2007, 2008, 1997, 4496, 13238, 2332, 1997, 2608, 1006, 2040, 2018, 28867, 7360, 1999, 1996, 2167, 1997, 2563, 1007, 1012, 1996, 2695, 1997, 4496, 13238, 1998, 11059, 2332, 1997, 2608, 2145, 6526, 1010, 1998, 2947, 4247, 2000, 2907, 1996, 4822, 1997, 24580, 1998, 2332, 1997, 2608, 1997, 1996, 2344, 1997, 2358, 4754, 1012, 1996, 2436, 1997, 11059, 2332, 1997, 2608, 1010, 16021, 11253, 2906, 2004, 2009, 3141, 2000, 1996, 3493, 2489, 2110, 1006, 2085, 3985, 2170, 3163, 1007, 1010, 2150, 1996, 2597, 1997, 2708, 9536, 1997, 3163, 1012, 102, 101, 1996, 2344, 1997, 2358, 4754, 2018, 2416, 2060, 28867, 3738, 1010, 2116, 2062, 2084, 2151, 2060, 2329, 2344, 1012, 1996, 2048, 9536, 2015, 2020, 2124, 2004, 8513, 9536, 1998, 5772, 9536, 1012, 2093, 1997, 1996, 2176, 16405, 2869, 10179, 6212, 9243, 2020, 24819, 1010, 1996, 2959, 2001, 2218, 2011, 2012, 7317, 5643, 16405, 2869, 10179, 18941, 1010, 2019, 2436, 2631, 1999, 14168, 2475, 1012, 102, 101, 1996, 20774, 1997, 1996, 2344, 2001, 1000, 1996, 20774, 2012, 2608, 2315, 1996, 2304, 8473, 1000, 1012, 1996, 10170, 20774, 1997, 1996, 2304, 8473, 1999, 3163, 2001, 5664, 2013, 1996, 2394, 2961, 1997, 1996, 2168, 2171, 1010, 2295, 2066, 2010, 13637, 2002, 2018, 2070, 5704, 1999, 1996, 3493, 2160, 1997, 8140, 1012, 1006, 1996, 3732, 4247, 2000, 3710, 2004, 20774, 2000, 1996, 2344, 1997, 1996, 11721, 19418, 1998, 2004, 14262, 27687, 2102, 1030, 1011, 1030, 2012, 1030, 1011, 1030, 2608, 1997, 1996, 2160, 1997, 8140, 1012, 1007, 1996, 3493, 2695, 2038, 2042, 10030, 2144, 4537, 1012, 102, 101, 1996, 4822, 1997, 3187, 1998, 4962, 23067, 24063, 2020, 2761, 2218, 2011, 2372, 1997, 1996, 3493, 2160, 1997, 7674, 1012, 1996, 2436, 1997, 3187, 2038, 2042, 10030, 2144, 4881, 1012, 1996, 2597, 1997, 4962, 23067, 24063, 2001, 2187, 10030, 1999, 6571, 1010, 5854, 1999, 6478, 1010, 2021, 2187, 10030, 2153, 1999, 4479, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2783, 3738, 1998, 2372, 1027, 1027, 1027, 102, 101, 102, 101, 11074, 1024, 3870, 2462, 102, 101, 3738, 1024, 24580, 1998, 2332, 1997, 2608, 1024, 10805, 3804, 1006, 4496, 13238, 1998, 11059, 2332, 1997, 2608, 1007, 102, 101, 2372, 1024, 3904, 102, 101, 102, 101, 1027, 1027, 17447, 8163, 1998, 16222, 5833, 28578, 11187, 1027, 1027, 102, 101, 102, 101, 2005, 2590, 6642, 1010, 2107, 2004, 12773, 2015, 1998, 15697, 4183, 14900, 1997, 2047, 2372, 1997, 1996, 2344, 1010, 7307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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 ]
[ 0.010858867381587804, 0.00032179208965828036, 0.00003417614978493867, 0.00006610140639032306, 0.0008352725691246635, 7.473912793192266e-7, 0.0013181335870681558, 0.000529953857279414, 0.00003737334475431589, 0.0000010293313909357634, 0.043956306012241514, 0.00000545422559619882, 0.016183294541982387, 0.0009543503194605539, 0.0006894153227211468, 0.0000280653221735034, 0.08684500459738922, 0.022399317941742554, 0.007426977171180468, 9.861582823490591e-9, 0.000657687446358851, 0.09829098606686205, 0.032852000925257696, 0.000008128239697743127, 9.861582823490591e-9, 0.003174793420334054, 0.05868453986711676, 0.0017151216000022937, 0.004479680948985206, 0.021681009193851356, 0.00030315660830300764, 0.08720283863203131, 0.0033468841031578413, 0.0006176771083831873, 0.0021941689330498976, 0.0020182984348107204, 0.000055787458188225364, 0.00025930380348698534, 0.10100495448069265, 0.00158128944768136, 0.00016824878306091715, 0.000011752282429648647, 0.13888616965430425, 0.09504671507707328, 0.06542467751586267, 0.03243303941453482, 0.054603311971287594, 0.00013679237904569766, 0.000664549953333305, 0.000004783964845329435 ]
[ 1997, 2358, 4754, 5078, 9603, 17447, 8163, 1024, 102, 101, 1996, 16019, 2001, 1037, 17617, 2630, 11111, 7732, 2007, 2317, 6953, 1012, 1996, 2732, 1997, 1996, 2344, 1006, 2156, 2917, 1007, 2001, 8212, 2006, 1996, 2187, 1997, 1996, 16019, 1012, 1037, 2630, 7415, 2001, 4987, 2000, 1996, 16019, 1012, 102, 101, 1996, 6045, 1997, 1996, 2344, 2001, 2761, 1997, 2317, 19412, 1010, 7732, 2007, 2630, 1010, 2021, 2001, 2904, 2000, 2304, 10966, 2011, 2577, 4921, 1012, 2009, 2001, 26888, 2094, 2007, 2093, 4212, 1997, 12261, 1010, 2028, 2417, 1010, 2028, 2317, 1998, 2028, 2630, 1012, 102, 101, 1996, 9127, 2001, 2081, 1997, 2751, 1010, 5398, 1997, 15588, 10529, 1998, 14601, 2015, 4987, 2007, 9439, 1012, 1996, 2048, 10529, 2029, 15821, 1996, 15588, 3123, 2020, 23554, 29484, 3709, 2317, 2306, 2417, 1010, 1998, 2417, 2306, 2317, 1012, 1996, 2430, 14601, 1010, 2013, 2029, 1996, 10780, 1997, 1996, 2344, 2001, 6731, 1010, 2001, 7505, 27632, 2011, 1037, 4410, 1012, 102, 101, 2006, 3056, 1000, 9127, 2420, 1000, 4351, 2011, 1996, 11074, 1010, 2372, 7052, 5337, 2824, 5078, 1996, 2344, 1005, 1055, 9127, 2058, 2037, 2510, 6375, 1010, 5337, 2154, 4377, 1010, 2030, 3944, 4929, 1012, 2043, 9127, 2015, 2020, 6247, 1006, 2593, 2006, 9127, 2420, 2030, 2006, 5337, 6642, 2107, 2004, 12773, 2015, 1007, 1010, 1996, 10780, 2001, 6731, 2013, 1996, 9127, 1012, 102, 101, 4998, 2013, 2122, 2569, 6642, 1010, 2174, 1010, 2172, 16325, 16222, 5833, 28578, 11187, 2020, 2109, 1024, 102, 101, 1996, 2732, 1997, 1996, 2344, 2001, 2019, 2809, 1030, 1011, 1030, 4197, 3275, 1010, 2007, 1996, 2176, 7185, 2685, 2936, 2084, 1996, 7783, 2685, 1012, 2169, 2391, 2001, 3491, 2004, 1037, 9324, 1997, 9938, 1012, 1999, 1996, 2803, 2001, 1996, 2168, 12652, 1010, 2095, 1998, 2640, 2008, 2596, 2006, 1996, 10780, 1012, 1996, 2732, 2001, 6247, 11807, 2000, 1996, 2187, 7388, 1012, 102, 101, 1996, 5041, 19395, 5685, 2001, 1037, 17617, 2630, 24511, 6247, 2408, 1996, 2303, 1010, 2013, 1996, 2157, 3244, 2000, 1996, 2187, 5099, 1012, 102, 101, 1996, 10780, 2001, 11807, 2000, 1996, 19395, 5685, 2012, 1996, 2187, 5099, 1012, 2081, 1997, 2751, 1010, 2009, 8212, 1037, 28782, 7682, 2093, 24364, 1010, 2006, 2327, 1997, 1037, 2892, 1997, 2358, 4754, 1998, 5129, 2011, 1037, 2630, 4418, 7682, 1996, 12652, 1999, 16686, 2271, 21225, 2015, 1010, 2004, 2092, 2004, 1996, 3058, 1997, 1996, 2344, 1005, 1055, 3192, 1999, 3142, 16371, 28990, 2015, 1006, 1000, 9108, 9468, 2140, 20348, 9048, 6137, 1000, 1007, 1012, 102, 101, 1996, 2882, 3040, 1005, 1055, 16751, 2020, 1997, 1996, 2168, 2433, 1998, 2640, 2004, 2216, 1997, 1996, 7307, 1012, 1999, 10937, 1010, 2174, 1010, 2520, 4921, 3591, 1996, 2882, 3040, 2007, 1037, 2732, 1998, 10780, 1010, 2169, 3605, 1997, 14548, 3111, 1010, 14110, 2015, 1998, 6142, 11719, 1012, 2122, 2048, 16751, 2020, 4351, 1000, 4410, 15565, 1000, 1999, 1996, 2344, 1005, 1055, 5497, 18574, 1010, 1998, 1996, 8259, 1000, 3493, 4410, 15565, 1000, 2001, 7902, 2098, 2011, 6399, 2043, 2027, 2020, 7376, 1999, 5528, 1010, 2247, 2007, 1996, 9127, 2015, 1997, 2274, 7307, 1025, 2027, 2031, 2025, 2144, 2042, 6757, 1012, 102, 101, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0 ]
[ 0.006646900467855014, 9.402349082895916e-9, 0.1307893307233332, 0.005472080337996249, 0.000012780366603820412, 0.0022163934611451747, 0.00039819669477953254, 0.05330046798808741, 0.0011205334370153173, 0.000013600116469438334, 0.000007242765580062118, 0.03215978679064804, 0.00025202206442801324, 9.402349082895916e-9, 0.002766812479744469, 0.03450084061060742, 0.00005401949287974165, 0.007971501512962992, 0.011494867871500957, 0.000022572376495474174, 0.03741876492820874, 0.0003872582073015427, 0.002218297909892545, 9.402349082895916e-9, 0.10946427252804551, 0.005162703432546765, 0.0035438312233894045, 0.04924844906895749, 0.01875485916005607, 0.055472669077867034, 0.027406555032253685, 0.00004998684877825625, 0.00883983810469623, 0.00022853312582548466, 0.022077297996327225, 0.013380676163439355, 0.0000012243499441196398, 0.0034417364821913406, 0.0030348764637541303, 0.000057716129458357596, 0.0000012031327099063038, 0.00046169940148463524, 0.005442060540633295, 0.0012616962218408205, 0.013410098388196718, 0.11544179929883876, 0.001160439026529512, 0.10779662206246883, 0.04090876548537676, 0.06472609244380792 ]
[ 2193, 1997, 5167, 20246, 2000, 1996, 2344, 1997, 2358, 4754, 2024, 2218, 1999, 9941, 1999, 2119, 1996, 3072, 1997, 3163, 1998, 2642, 3163, 1012, 1996, 17925, 1997, 1996, 4343, 5797, 18856, 2239, 12618, 3600, 1010, 1996, 13092, 4859, 5000, 1997, 1996, 2344, 1010, 2024, 2006, 4653, 1999, 1996, 2120, 2688, 1997, 3163, 1010, 5772, 1025, 1996, 11111, 7495, 2000, 1996, 3822, 4656, 1997, 11382, 13728, 5686, 2100, 2003, 2218, 2011, 1996, 2047, 2854, 2688, 1025, 1996, 2120, 3916, 1998, 29606, 2688, 1999, 5772, 2119, 2031, 3340, 1997, 1996, 2344, 1025, 1998, 1996, 11059, 2688, 1006, 2112, 1997, 1996, 2120, 9941, 1998, 11726, 1997, 2642, 3163, 1007, 1999, 2358, 5521, 19912, 2483, 2038, 1037, 2312, 3074, 2006, 4653, 1998, 2048, 16019, 2015, 1999, 5527, 1012, 1996, 3493, 4932, 2202, 2037, 9700, 7559, 1998, 12652, 2013, 1996, 2344, 1012, 102, 101, 102, 101, 1027, 1027, 4970, 1998, 3382, 2854, 1027, 1027, 102, 101, 102, 101, 1996, 4970, 1997, 1996, 2344, 2001, 2761, 1999, 2358, 4754, 1005, 1055, 5040, 1999, 2430, 5772, 1012, 2169, 2266, 1997, 1996, 2344, 1010, 2164, 1996, 11074, 1010, 2001, 23932, 1037, 13498, 1999, 1996, 6596, 1997, 1996, 4970, 1010, 2682, 2029, 2010, 1006, 2030, 2014, 1010, 1999, 1996, 2553, 1997, 3035, 3848, 1007, 28867, 5733, 2020, 6913, 1012, 17335, 2006, 1996, 26007, 1997, 1037, 5000, 1005, 1055, 13498, 2001, 1037, 16254, 1010, 7429, 2007, 2158, 15073, 1998, 9370, 2011, 2010, 11146, 1012, 2682, 1996, 11146, 1010, 1996, 5000, 1005, 1055, 28867, 9484, 2001, 5112, 1010, 7861, 28522, 15975, 2094, 2007, 2010, 5435, 1997, 2608, 1012, 2012, 1037, 9839, 3760, 4094, 1010, 2000, 1996, 2067, 1997, 1996, 13498, 2001, 21358, 23901, 1037, 3538, 1997, 8782, 1006, 1037, 1000, 13498, 5127, 1000, 1007, 14962, 2049, 1051, 9468, 6279, 4630, 1005, 1055, 2171, 1010, 2608, 1998, 3058, 1997, 9634, 2046, 1996, 2344, 1012, 2588, 1996, 2331, 1997, 1037, 5000, 1010, 1996, 9484, 1998, 11146, 2020, 2579, 2091, 1998, 2999, 2007, 2216, 1997, 2010, 6332, 1012, 2044, 1996, 4487, 8583, 2696, 16558, 21808, 1997, 1996, 2277, 1997, 3163, 1999, 7428, 1010, 1996, 4970, 7024, 2000, 2022, 2109, 1025, 1996, 28867, 5733, 1997, 1996, 7307, 2012, 1996, 2051, 2020, 2187, 1999, 2173, 2012, 1996, 5227, 1997, 3035, 3848, 1012, 102, 101, 1996, 2344, 2001, 2302, 1037, 12961, 2188, 2127, 7005, 2043, 7565, 2020, 2081, 2000, 4653, 23562, 1010, 16254, 2015, 1998, 11300, 3672, 7766, 1006, 1996, 5662, 1997, 13498, 7766, 1010, 1999, 1996, 6438, 1997, 19753, 1007, 1999, 1996, 2307, 2534, 1010, 3985, 2170, 2358, 1012, 4754, 1005, 1055, 2534, 1010, 1999, 5772, 3317, 1012, 2006, 1996, 5069, 1997, 1996, 3493, 2489, 2110, 1996, 23562, 1997, 1996, 2542, 7307, 2020, 3718, 1012, 2043, 1996, 2534, 2001, 2417, 8586, 6525, 3064, 1999, 3705, 2009, 2001, 2787, 2008, 2009, 2323, 2022, 5112, 2007, 1996, 23562, 1997, 1996, 2372, 1997, 1996, 2344, 1999, 4798, 1012, 1996, 4493, 23562, 2020, 13671, 2030, 2047, 3924, 2081, 1025, 2009, 2003, 2122, 23562, 2029, 2064, 2022, 2464, 2651, 1012, 1996, 2534, 1010, 2029, 2001, 4096, 2358, 4754, 1005, 1055, 2534, 2013, 2049, 2523, 2007, 1996, 2344, 1010, 2036, 2366, 2004, 1996, 3382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.12180588431472514, 0.008069947958305594, 0.05635397581322737, 0.0027217407903445557, 0.00021019563726958431, 0.005343238436477369, 0.01985065038448105, 0.03751942436390979, 0.000024755152926624566, 0.009132115894957552, 0.04731374801290574, 0.0007505024903022841, 0.03790790918335651, 0.000008549278648618672, 0.008607113509404789, 0.03934998175944856, 0.10037486592376549, 0.00007777918157745772, 0.007965139494448726, 0.0016127361143141884, 0.00026634005647996345, 0.003006668404692044, 0.06696529767854355, 0.0456746361268516, 0.09038981996618, 0.0445374070414021, 0.0006462229309732763, 0.00036274792929969814, 0.00010028750604089999, 0.00005374111780930907, 0.01315178701998622, 0.016286820318298468, 0.0615753509184528, 0.0027709651804067306, 0.0016511947630439801, 0.01111078627084265, 0.023733801531353432, 0.00005001682960878246, 0.017306592038998602, 0.0018220380249254976, 0.017949572641027277, 0.009546158130543856, 0.0004032427122725728, 0.03864503667232993, 0.010974607735484372, 9.62759963241932e-9, 0.008335907898609869, 0.0034729848584961255, 0.003642217112548537, 0.0005674872621011234 ]
[ 2854, 1997, 1996, 2344, 1012, 8272, 10912, 1010, 1998, 2101, 15697, 4183, 14900, 1010, 2020, 2218, 2182, 1010, 2411, 2006, 2358, 4754, 1005, 1055, 2154, 1010, 2127, 2027, 2020, 8944, 1012, 1037, 19032, 2005, 1996, 7307, 2001, 2411, 2218, 1999, 1996, 2534, 2006, 1996, 6686, 1997, 2019, 8272, 1012, 2358, 4754, 1005, 1055, 2534, 2085, 4240, 2004, 1996, 3295, 2005, 1996, 17331, 1997, 1996, 2343, 1997, 3163, 1012, 102, 101, 4406, 2116, 1997, 1996, 2060, 2329, 4449, 1010, 1996, 13498, 7766, 1006, 2030, 11300, 3672, 7766, 1007, 2079, 2025, 2433, 1037, 7142, 2501, 1997, 1996, 7307, 1997, 1996, 2344, 1012, 2045, 2024, 2069, 4090, 13498, 7766, 2005, 1996, 3770, 2030, 2061, 7307, 2805, 2077, 7428, 1010, 1006, 2348, 2500, 2020, 3908, 1999, 1037, 2543, 1999, 3878, 1007, 1010, 1998, 2871, 11300, 8163, 7766, 2005, 1996, 3438, 7307, 2805, 3525, 1012, 1999, 1996, 2553, 1997, 1996, 13498, 7766, 2023, 2001, 3383, 2349, 2000, 2037, 2946, 1010, 2382, 2595, 21619, 4642, 1006, 2260, 2595, 16932, 1999, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 23359, 1998, 14310, 1027, 1027, 102, 101, 102, 101, 2144, 1996, 2372, 1997, 1996, 2344, 2020, 3223, 2000, 2022, 7307, 1010, 1998, 1999, 3218, 2018, 3020, 4635, 1010, 2116, 1997, 1996, 14310, 1997, 5779, 2020, 10155, 9587, 4140, 1012, 2004, 7307, 2027, 2071, 17576, 1000, 2909, 1000, 2000, 2037, 18921, 18442, 2015, 1010, 2021, 1996, 2433, 2001, 2196, 2109, 1999, 4613, 1010, 2004, 2027, 2020, 3615, 2000, 2011, 2037, 18760, 10667, 3490, 7368, 1012, 2027, 2020, 4137, 4460, 1999, 1996, 2344, 1997, 23359, 1010, 2021, 2018, 3020, 4460, 2011, 11870, 1997, 2037, 18760, 10667, 3490, 7368, 1012, 102, 101, 7307, 2109, 1996, 2695, 1030, 1011, 1030, 15087, 4144, 1000, 1047, 2361, 1000, 1012, 2043, 2019, 3265, 2001, 4709, 2000, 2224, 3674, 2695, 1030, 1011, 1030, 15087, 4144, 1010, 1047, 2361, 2596, 2077, 2035, 2500, 1010, 3272, 1000, 18411, 1000, 1998, 1000, 18411, 4757, 1000, 1006, 8693, 1998, 8693, 7971, 1007, 1010, 1000, 18315, 1000, 1006, 3848, 2892, 1007, 1010, 1000, 1043, 2278, 1000, 1006, 2577, 2892, 1007, 1010, 1000, 4705, 1000, 1006, 5000, 1997, 1996, 11721, 19418, 1007, 1998, 1000, 1047, 2102, 1000, 1006, 5000, 1997, 1996, 24328, 1007, 1012, 102, 101, 7307, 2071, 4372, 6895, 21769, 2037, 2608, 2007, 1037, 15921, 1997, 1996, 4418, 2102, 1006, 1037, 2630, 4418, 7682, 1996, 12652, 1007, 1998, 1996, 9127, 1025, 1996, 2280, 2003, 3491, 2593, 2648, 2030, 2006, 2327, 1997, 1996, 3732, 1012, 1996, 10780, 2003, 8212, 6731, 2013, 1996, 9127, 1012, 2027, 2020, 2036, 4709, 2000, 4374, 28867, 6793, 1012, 2023, 2152, 14293, 2001, 1010, 1998, 2003, 1010, 2069, 4207, 2011, 2372, 1997, 1996, 2548, 2155, 1010, 12746, 1010, 7307, 1998, 6456, 1997, 1996, 11721, 19418, 1010, 7307, 1998, 6456, 1997, 1996, 24328, 1010, 1998, 7307, 1998, 8214, 2015, 2882, 2892, 1997, 1996, 3502, 4449, 1012, 1006, 1997, 2607, 1010, 7307, 1997, 2358, 4754, 1010, 5373, 2035, 2108, 2372, 1997, 1996, 2329, 2548, 2155, 2030, 12746, 1010, 2020, 3262, 4709, 2000, 6793, 1999, 2151, 2724, 1012, 1007, 102, 101, 102, 101, 102, 101, 1027, 21000, 2391, 2110, 2380, 1027, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0.10804850860721131, 0.0025009315715406786, 0.07263572437219147, 0.004129928859053631, 0.030712236937642128, 0.00007093428512858298, 0.0011333795469288994, 0.0012978663453360288, 0.004427407733607779, 0.10767985063729386, 0.00005895494636458517, 0.0013151624582062975, 0.0004976337362493274, 0.00005755124015396214, 0.06141507853062904, 0.000033199873282428106, 0.0025891482272625225, 0.00007538692602169015, 0.0018380718241249574, 0.0271646337802603, 0.011422013921186571, 0.015539707534774462, 0.07462533189798447, 0.007997035997895256, 0.014770501943793743, 0.000037664023753839225, 7.25041498602372e-7, 0.0008537865117616984, 0.0306472839594406, 0.0001941136010843425, 0.05864172592771116, 0.00026475408007004653, 0.004017293536981679, 0.0024812897513196187, 0.008020040754067401, 1.0472125296885921e-8, 0.009689653732345286, 0.0002193426166522342, 0.021472313549121075, 0.008604151771809256, 0.003684628491304812, 0.04415543310843537, 0.09595752563842262, 0.02637203876090599, 0.002367039486449238, 0.0009319784805028108, 0.005341872357389915, 0.10963030081218454, 0.013893105471626501, 0.0004857463289121525 ]
[ 102, 101, 21000, 2391, 2110, 2380, 2003, 1037, 4029, 2620, 1030, 1011, 1030, 7456, 1006, 17332, 5292, 1007, 3552, 2110, 2380, 1999, 14841, 18170, 2221, 1010, 3552, 1010, 1999, 1996, 2142, 2163, 1012, 2009, 2003, 2006, 1996, 2225, 2217, 1997, 1996, 7222, 3636, 14980, 1010, 2036, 2124, 2004, 1996, 2882, 8399, 1997, 3552, 1010, 2029, 2003, 5385, 2519, 1006, 11212, 1049, 1007, 2784, 1998, 3053, 1018, 1030, 1010, 1030, 2199, 2519, 1006, 1015, 1030, 1010, 1030, 3263, 1049, 1007, 2408, 2012, 2023, 3295, 1012, 1996, 2380, 8908, 2013, 1996, 3636, 1999, 1996, 3953, 1997, 1996, 14980, 2039, 2000, 1996, 11418, 1998, 2408, 2112, 1997, 1996, 9814, 2000, 1996, 2225, 1012, 21000, 2391, 2110, 2380, 2003, 2124, 2005, 2049, 5328, 1997, 1996, 7222, 3636, 14980, 1010, 1998, 4107, 6695, 2005, 12695, 6834, 1010, 13039, 1010, 5645, 1998, 5933, 1010, 2317, 5880, 23639, 1010, 1998, 13215, 1012, 21000, 2391, 2003, 5129, 2011, 14841, 18170, 2110, 3224, 1998, 2049, 2905, 2380, 1010, 7723, 6676, 2110, 2380, 1010, 2006, 1996, 2264, 11418, 1012, 1996, 2380, 2003, 2006, 1037, 2110, 3224, 2346, 1999, 2911, 11837, 3545, 1019, 2661, 1006, 1022, 2463, 1007, 2148, 1997, 1057, 1012, 1055, 1012, 2799, 1020, 1012, 102, 101, 7222, 3636, 6223, 2083, 1996, 2380, 1998, 2038, 7844, 1996, 14980, 2083, 2274, 2350, 2600, 13197, 2013, 1996, 7614, 2937, 1998, 6351, 23930, 6993, 1012, 3128, 4841, 2320, 2109, 1996, 7222, 3636, 4130, 2247, 1996, 3636, 1012, 1996, 4130, 2001, 2101, 2109, 2011, 13891, 3549, 1010, 1998, 2059, 2150, 1996, 2607, 1997, 1037, 4296, 2013, 7257, 2000, 2997, 1012, 2144, 2727, 1010, 1996, 5786, 1030, 1011, 1030, 3542, 1006, 2531, 2463, 1007, 7222, 3636, 4334, 4446, 2038, 2628, 1996, 3636, 2083, 1996, 14980, 1012, 1996, 7222, 3636, 14980, 2001, 2315, 1037, 2120, 3019, 8637, 1999, 3380, 1998, 2003, 2036, 5123, 2004, 1037, 3552, 2110, 3019, 2181, 1998, 2590, 4743, 2181, 1010, 2096, 7222, 3636, 2003, 1037, 3552, 12916, 1998, 3748, 2314, 1012, 1996, 14980, 2003, 2188, 2000, 2116, 2427, 1997, 4264, 1998, 4176, 1010, 2070, 1997, 2029, 2031, 2042, 28263, 2000, 1996, 2181, 1012, 102, 101, 1996, 2380, 2003, 2315, 2005, 2888, 21000, 1010, 1037, 3766, 6442, 13891, 2386, 2040, 3013, 7227, 2045, 3225, 1999, 7449, 1012, 2348, 1996, 7222, 3636, 14980, 2001, 3154, 12690, 1999, 1996, 3708, 1998, 2220, 3983, 4693, 1010, 2009, 2003, 2085, 3139, 2011, 2117, 1030, 1011, 1030, 3930, 3224, 1010, 4283, 1999, 2112, 2000, 1996, 5680, 4073, 1997, 1996, 6831, 5680, 3650, 1006, 10507, 2278, 1007, 1999, 1996, 5687, 1012, 1996, 10507, 2278, 2328, 1996, 4128, 2012, 21000, 2391, 2077, 1998, 3859, 2044, 1996, 2380, 1005, 1055, 4266, 3098, 1012, 2087, 1997, 1996, 10507, 2278, 1030, 1011, 1030, 2328, 4128, 3961, 1999, 2224, 1010, 1998, 2031, 2419, 2000, 1996, 2380, 1005, 1055, 10328, 2004, 1037, 3181, 2212, 2006, 1996, 2120, 4236, 1997, 3181, 3182, 1012, 2144, 1037, 3144, 11845, 3049, 1999, 4266, 1010, 1996, 2380, 1998, 14980, 2031, 2042, 1037, 2759, 7538, 7688, 1010, 15411, 5606, 1997, 5190, 1997, 5731, 2169, 2095, 1012, 21000, 2391, 2110, 2380, 2001, 4217, 2011, 1996, 3552, 2533, 1997, 5680, 1998, 3019, 4219, 1006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.017076354530669795, 0.0005203691554931226, 0.04509657747878878, 0.03145865819222449, 0.06556389148849777, 0.002178785515533255, 0.00002011457884478095, 0.0007350839226108569, 0.023312848559984417, 0.009637805616528114, 0.016688189441660548, 0.06937452527374827, 0.00003071210066003236, 0.000005475730764343037, 0.006621463640878106, 0.0014349610337757454, 0.0027577655148100467, 0.05300323259081855, 0.006096101155803032, 0.000016602321183279654, 0.00021127916754243325, 0.0006295548103391598, 0.01561196793968342, 0.0026329994927423556, 0.002215828421825787, 0.008531638936723403, 0.029305693931662654, 0.00008090609534415544, 0.038230834763276676, 1.0816528954226737e-8, 0.0048718406295039885, 0.000030523451702412466, 0.0005741931743756675, 0.12195071611049421, 0.005558794089824879, 0.000039656302790023104, 0.011234549466736856, 0.03409271255557812, 0.00012608276889625097, 0.04291186222824761, 0.06653303524792373, 0.008289160329503113, 0.04832857383849431, 0.05546202774594239, 0.03130787573669595, 0.010081620836389811, 0.0007776786872325086, 0.00002070853791556264, 0.00010105002308856687, 0.10862710601971762 ]
[ 5887, 16118, 1007, 4879, 1997, 6328, 2005, 2049, 1000, 2423, 2442, 1030, 1011, 1030, 2156, 3552, 2110, 6328, 1000, 2862, 1010, 2029, 5868, 2049, 1000, 12656, 13005, 2015, 1998, 1037, 18783, 3193, 1997, 7222, 3636, 14980, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 3128, 4841, 1027, 1027, 1027, 102, 101, 102, 101, 4286, 2031, 2973, 1999, 2054, 2003, 2085, 3552, 2144, 2012, 2560, 2184, 1030, 1010, 1030, 2199, 4647, 1012, 1996, 2034, 7322, 2020, 5122, 2080, 1030, 1011, 1030, 2796, 21702, 9624, 2124, 2013, 2037, 2962, 5906, 1012, 1996, 4477, 1030, 1011, 1030, 8587, 2545, 1997, 1996, 19261, 2558, 1010, 2029, 6354, 7246, 2013, 6352, 2692, 2000, 6694, 4647, 1010, 2109, 1037, 3618, 3528, 1997, 2062, 12138, 2962, 10471, 1012, 1996, 11051, 2558, 4417, 1996, 16612, 6653, 2000, 4100, 1030, 1011, 1030, 4568, 4731, 1998, 7570, 28228, 14561, 1010, 2090, 6694, 4647, 1998, 10347, 4748, 1012, 23005, 3350, 2179, 1999, 1996, 2110, 2013, 2023, 2051, 2950, 1037, 2846, 1997, 11378, 4127, 1998, 6782, 1010, 8940, 19503, 1010, 12432, 1010, 21207, 1998, 12563, 1010, 1998, 24005, 1012, 102, 101, 21000, 2391, 2110, 2380, 2003, 1999, 1996, 2225, 3589, 26361, 2314, 11987, 6403, 1010, 1996, 5700, 2680, 4864, 1997, 2029, 2020, 1996, 20868, 2080, 28940, 25463, 2078, 1030, 1011, 1030, 4092, 10514, 17729, 4819, 18057, 2015, 1012, 2027, 2020, 1037, 13523, 4360, 11140, 2389, 2554, 2008, 2973, 1999, 4518, 9648, 2094, 4731, 1997, 2312, 2146, 3506, 1010, 1998, 1000, 5681, 9613, 1000, 1996, 4020, 4193, 1996, 7222, 3636, 14980, 1012, 2037, 3616, 2020, 6551, 4359, 2011, 4295, 1998, 8309, 2007, 1996, 2274, 3741, 1997, 1996, 23015, 1010, 1998, 2011, 27194, 2027, 2018, 2351, 2041, 1010, 2333, 2185, 1010, 2030, 2042, 4632, 27605, 13776, 2046, 2060, 6946, 1012, 102, 101, 2044, 2023, 1010, 1996, 4915, 1997, 1996, 2225, 3589, 26361, 2314, 3028, 2020, 2104, 1996, 15087, 2491, 1997, 1996, 23015, 1012, 1996, 23015, 2973, 1999, 2146, 3506, 1010, 3952, 1999, 2054, 2003, 2085, 2047, 2259, 1010, 1998, 2018, 1037, 2844, 18179, 2029, 2435, 2068, 2373, 3458, 2037, 3616, 1012, 2027, 1998, 2060, 6946, 2109, 1996, 7222, 3636, 4130, 2083, 1996, 14980, 1010, 7118, 2090, 1037, 4130, 2006, 1996, 9165, 4402, 2314, 1999, 2715, 2047, 2259, 1999, 1996, 2167, 1010, 1998, 1996, 2307, 25850, 23212, 2078, 4130, 2247, 1996, 2225, 3589, 26361, 2314, 1999, 1996, 2148, 1012, 1996, 21224, 5917, 1997, 1996, 23015, 3373, 2008, 7222, 3636, 14980, 2001, 6730, 2455, 1998, 2196, 2511, 1037, 4568, 4093, 2045, 1012, 2027, 2109, 1996, 4130, 2083, 1996, 14980, 1998, 2018, 12348, 5933, 7958, 2247, 2009, 1010, 2164, 2028, 2074, 2167, 1997, 1996, 2380, 2379, 2054, 2052, 2101, 2022, 1996, 2352, 1997, 25435, 2401, 1012, 2000, 6039, 1996, 11675, 2187, 2011, 1996, 13614, 1997, 1996, 10514, 17729, 4819, 18057, 2015, 1010, 1996, 23015, 6628, 12936, 6946, 2013, 1996, 2264, 2000, 7392, 1999, 1996, 2225, 3589, 12547, 1010, 2164, 1996, 13218, 4402, 1998, 14229, 5051, 1006, 2030, 8452, 1007, 1012, 102, 101, 1996, 2413, 1998, 2796, 2162, 1006, 22593, 1516, 6191, 1007, 2419, 2000, 1996, 9230, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.048396426045404735, 0.000003829036198492282, 0.0484412947974672, 0.017723050146880227, 0.00001899187254483048, 0.035933791972703015, 0.05091094567173852, 0.00002620369630960796, 0.00008425908629562468, 0.04698791032173086, 0.00011310720290174343, 0.0050996984293785385, 8.717016444216637e-9, 0.00008084672671417823, 0.003493231379259496, 0.000007299236915508654, 0.0295027471835886, 1.3165148640076026e-8, 8.717016444216637e-9, 0.00017303585720728133, 0.0006443126209294491, 0.054862734358944905, 0.09487988061042577, 0.000006424514460179706, 0.000049957910626105984, 0.002962201439591228, 0.006385999574785045, 0.006969428278387802, 0.000057846796237202184, 0.0009107591575063244, 0.00953318255606828, 0.039035117649893696, 0.017503006813392463, 0.00030750816825515396, 0.022785064341877315, 0.05925463996567246, 0.034656702753876084, 0.05222309276771827, 0.000004585521266060212, 0.002124694345794885, 0.0046099859587301175, 0.00034625423348689035, 0.012378591698490676, 0.07532993711259242, 0.01320318894673411, 0.09564300483315138, 0.10164760616511431, 0.000025207070463119322, 0.0034631235295014507, 0.0011992610436071052 ]
[ 2116, 3128, 4841, 15165, 2000, 1996, 4058, 2314, 6403, 1012, 2006, 2281, 1019, 1010, 19793, 1010, 1996, 2329, 3734, 1996, 2047, 5309, 2013, 1996, 23015, 1999, 1996, 5036, 1997, 3481, 9761, 9148, 2595, 1010, 2164, 2054, 2003, 2085, 1996, 7222, 3636, 14980, 2264, 1997, 1996, 3636, 1012, 1996, 5309, 2240, 2511, 2011, 2023, 5036, 2001, 11621, 1010, 2004, 2009, 2001, 10599, 3251, 1996, 3675, 2247, 1000, 27339, 2850, 21763, 3636, 1000, 3615, 2000, 7222, 3636, 2030, 2000, 1048, 2100, 18935, 3636, 1010, 2582, 2000, 1996, 2264, 1012, 2004, 1037, 2765, 1010, 1996, 2455, 2090, 2068, 2001, 11621, 3700, 2127, 16496, 1998, 1996, 2117, 5036, 1997, 3481, 9761, 9148, 2595, 1012, 2044, 1996, 2137, 6208, 2162, 1010, 3128, 4841, 2471, 4498, 2187, 3552, 1025, 2070, 7275, 4996, 1997, 12493, 2815, 1999, 7222, 3636, 14980, 2127, 1996, 2162, 1997, 9842, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 13891, 3690, 1027, 1027, 1027, 102, 101, 102, 101, 3188, 2000, 1996, 5508, 1997, 2520, 9502, 1998, 2010, 18844, 15526, 1999, 29478, 1010, 2039, 2000, 3938, 3867, 1997, 2054, 2003, 2085, 3552, 2001, 3139, 2007, 5249, 1024, 2062, 2084, 2861, 1030, 1010, 1030, 2199, 2675, 2661, 1006, 3770, 1030, 1010, 1030, 2199, 2463, 2475, 1007, 1997, 2789, 2317, 7222, 1010, 2789, 19610, 7878, 1010, 1998, 1037, 4666, 1997, 23165, 2015, 1012, 1996, 6138, 2379, 1996, 2093, 2434, 5721, 1010, 4407, 1010, 14189, 1010, 1998, 8812, 1010, 2020, 1996, 2034, 2000, 2022, 22629, 1010, 2004, 1996, 2220, 7322, 2109, 1996, 12192, 2800, 7227, 1998, 5985, 2455, 2005, 5237, 1012, 2011, 1996, 2051, 1997, 1996, 2137, 4329, 1010, 15899, 2018, 2584, 1996, 4592, 1998, 14897, 4655, 1010, 1998, 2150, 1037, 2877, 3068, 1999, 3552, 1012, 3628, 19851, 4762, 2000, 3684, 5014, 1010, 9092, 11483, 2005, 1996, 2110, 1005, 1055, 2116, 12780, 3111, 1010, 1998, 3536, 2005, 2810, 1010, 7390, 1010, 1998, 8460, 2437, 1012, 2312, 2752, 1997, 3224, 2020, 22629, 2011, 20466, 2015, 2000, 2543, 3707, 17533, 2015, 1012, 5883, 15768, 1998, 12277, 17125, 2020, 2081, 2013, 3552, 7227, 1010, 2004, 2020, 1037, 2898, 3528, 1997, 4398, 21183, 6132, 12146, 1010, 1998, 1996, 2034, 23825, 3406, 3654, 14525, 1012, 102, 101, 2011, 1996, 2220, 3708, 2301, 1996, 5157, 2005, 13891, 2584, 1996, 7222, 3636, 14980, 1010, 2073, 1996, 4193, 4020, 8621, 2020, 3139, 2007, 2789, 2317, 7222, 1017, 2000, 1020, 2519, 1006, 1015, 2000, 1016, 1049, 1007, 1999, 6705, 1998, 5018, 2519, 1006, 2753, 1049, 1007, 2030, 2062, 4206, 1010, 2789, 19610, 7878, 1023, 2519, 1006, 1017, 1049, 1007, 1999, 25022, 11890, 2819, 25523, 1010, 1998, 4121, 23165, 2015, 1012, 2169, 7456, 1006, 1014, 1030, 1012, 1030, 1018, 5292, 1007, 1997, 2122, 6261, 6138, 2550, 2531, 1030, 1010, 1030, 2199, 2604, 2519, 1006, 3263, 29061, 1007, 1997, 2317, 7222, 1998, 3263, 1030, 1010, 1030, 2199, 2604, 2519, 1006, 3156, 29061, 1007, 1997, 19610, 7878, 1998, 23165, 2015, 1012, 2005, 7831, 1010, 1996, 2168, 2181, 1997, 3224, 2651, 7137, 1037, 2561, 1997, 2069, 1019, 1030, 1010, 1030, 2199, 2604, 2519, 1006, 2184, 29061, 1007, 2006, 2779, 1012, 2429, 2000, 7112, 1041, 1012, 13547, 6582, 1010, 4483, 5160, 1998, 3166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.07161830064047513, 0.05985657433709988, 0.0003292077998695859, 0.00020810795340541797, 0.0004142089995412034, 0.007695927698979237, 0.05263579514999694, 0.002920340381721248, 0.0155365851053451, 0.00144861550358044, 0.07806719199120435, 0.021608790029097887, 0.10082941532830911, 0.0005920754900903908, 0.000911899321556374, 0.02204143139315947, 0.0010181830328424958, 0.01863566690502491, 0.00036629587652013706, 0.016011256054311914, 0.0006042315291432597, 0.000008625608939364735, 0.06812768752611524, 0.04706943914316537, 0.0013202789225325643, 0.027886365333739678, 0.021722238199876166, 0.00007585180500037426, 0.019418950342801472, 0.0315864379350215, 0.0005961553837716022, 0.00012757917307776163, 0.0043563882239568, 0.000024321392954254344, 0.0002442973771739012, 0.0017905866907020078, 0.0766663581184842, 0.031032023166420897, 0.005955849584813936, 0.041124096994805466, 0.014972787718000168, 0.036543349451858644, 0.0034242260046326925, 0.048289178957975014, 9.41933119922791e-9, 0.009499078970841865, 0.00008873649131619088, 0.034613067748858355, 0.00001621946245243379, 0.00006971433010612228 ]
[ 1010, 2911, 8569, 23891, 2869, 2641, 7222, 2013, 7222, 3636, 1996, 1000, 2190, 7227, 1999, 1996, 2088, 2005, 2437, 2986, 2911, 15429, 2015, 1000, 1010, 2061, 2009, 2001, 1996, 2034, 13891, 2000, 2022, 22629, 2006, 1037, 2312, 4094, 1012, 1996, 2434, 2516, 2000, 1996, 2455, 2008, 2150, 21000, 2391, 2110, 2380, 2001, 2853, 2000, 1996, 9070, 22745, 2194, 1999, 13414, 1012, 7222, 3636, 2001, 4161, 1037, 2270, 3307, 2011, 1996, 3552, 2236, 3320, 2006, 2233, 2385, 1010, 13036, 1010, 1998, 21298, 2015, 1997, 12403, 2869, 2020, 13715, 2091, 1996, 3636, 2000, 1996, 26361, 2314, 1010, 2059, 2000, 1996, 20867, 3016, 1998, 1996, 2911, 8569, 23891, 2869, 2012, 6222, 1012, 1996, 13891, 3549, 2052, 2059, 3328, 2188, 1010, 2206, 1996, 2214, 7222, 3636, 4130, 2012, 1996, 2203, 1997, 2037, 4990, 1012, 102, 101, 2004, 1996, 3708, 2301, 12506, 1010, 8491, 17527, 2020, 2187, 1998, 2062, 19610, 7878, 2015, 1998, 23165, 2015, 2020, 3013, 1998, 13995, 7246, 1012, 2011, 11786, 2045, 2020, 2340, 24744, 2015, 1999, 1996, 7222, 3636, 12547, 1010, 1998, 2011, 8905, 2045, 2020, 13741, 1010, 2750, 1037, 7186, 1999, 10212, 2029, 8342, 2041, 3053, 2035, 1996, 6341, 2247, 1996, 3636, 1012, 13228, 21534, 1997, 17527, 2001, 2999, 2011, 3154, 12690, 3436, 1997, 2035, 13891, 1999, 1037, 12859, 1012, 1996, 2034, 13891, 2075, 4023, 2485, 2000, 2054, 2003, 2085, 21000, 2391, 2001, 1999, 9931, 2043, 2520, 11898, 1998, 5826, 2328, 1037, 4093, 2012, 2502, 13524, 1998, 2719, 1996, 3552, 4101, 2455, 1998, 13891, 2194, 1012, 11898, 1005, 1055, 2194, 4156, 5190, 1997, 4631, 1997, 2455, 1999, 1996, 2181, 1010, 2164, 2054, 2003, 2085, 21000, 2391, 2110, 2380, 1012, 1999, 6725, 1996, 2197, 7222, 12403, 2099, 21298, 13715, 2091, 1996, 3636, 1010, 1998, 2006, 2233, 2654, 1010, 7428, 1996, 2236, 3320, 2979, 1037, 2375, 2029, 3039, 2810, 1997, 17624, 17278, 1998, 3039, 24974, 2000, 2022, 5985, 2000, 3499, 6065, 15664, 2000, 14257, 2488, 1012, 1996, 5700, 3500, 8833, 9297, 13715, 2039, 2000, 2322, 1030, 1010, 1030, 2199, 1030, 1010, 1030, 2199, 2604, 2519, 1006, 2753, 1030, 1010, 1030, 2199, 29061, 1007, 1997, 15664, 1999, 7222, 3636, 2012, 2028, 2051, 1012, 2122, 15664, 13715, 2000, 1996, 2225, 3589, 26361, 2314, 1998, 2000, 24744, 2015, 2379, 1996, 26361, 8797, 2012, 3766, 6442, 1012, 8833, 9297, 2071, 2022, 4795, 1024, 2074, 2167, 1997, 1996, 2380, 2003, 3347, 25127, 2600, 1010, 2315, 2005, 5212, 3347, 25127, 1010, 2040, 2439, 2010, 2166, 2006, 7222, 3636, 2045, 2044, 4911, 2039, 1037, 8833, 9389, 1012, 19610, 7878, 3536, 2001, 2025, 4235, 2109, 2127, 1996, 13896, 1997, 7318, 10063, 1010, 2021, 1996, 11286, 2001, 2109, 2000, 9092, 5898, 1012, 2044, 6940, 1996, 2922, 12780, 3111, 1999, 1996, 2088, 2020, 1999, 1996, 7222, 3636, 12547, 1010, 1998, 3223, 1016, 1030, 1010, 1030, 2199, 7038, 1006, 7706, 4705, 1007, 1997, 11286, 2000, 3965, 5018, 7038, 1006, 3963, 4705, 1007, 1997, 3737, 7082, 5898, 1012, 102, 101, 1999, 7449, 2888, 21000, 1010, 2040, 2499, 2005, 1996, 3766, 6442, 13891, 2194, 1010, 13588, 1996, 6276, 1997, 2317, 7222, 2006, 1996, 2455, 3079, 2011, 18553, 26124, 1025, 2023, 2455, 2052, 2101, 2468, 1996, 2380, 1012, 21000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.06510813141440171, 0.025552846410811462, 0.0003124455821221149, 0.01507643137349734, 0.0363204015483348, 0.03775534782673615, 0.014351442990132036, 0.012783840004189393, 0.0000075608164390074985, 0.0003852948084141519, 0.029350730685341685, 0.01004212412760997, 0.00012192096164444455, 0.061301189766937915, 0.003915872237583199, 0.0007205957543160106, 0.000008368116721988883, 0.00017104055529346574, 0.013395956311419925, 0.06010887041743213, 0.009732615619998683, 0.01903034696861391, 0.034744489533228576, 0.00001501211873047879, 0.00006039867486598486, 0.03908522893589766, 0.11956754041935855, 0.03272597444813839, 0.002006173934338428, 0.007018831018456183, 0.0020741267835292865, 0.02764832088537809, 0.006212859927234884, 0.0007667353475840403, 0.0005394031426208261, 0.0010050986482675163, 0.00312433280933998, 0.03551761263920308, 0.00006687381770024093, 0.0001791314289976653, 0.0008606156440976364, 0.019111690275158928, 0.03467740208743828, 0.006975839101708868, 0.07504701660165397, 0.09510296340831521, 0.002822324723749577, 0.024146958920670685, 0.0008370222673276246, 0.01250664815901777 ]
[ 2435, 2010, 2171, 2000, 1996, 21000, 2391, 27590, 2006, 1996, 2225, 11418, 1997, 1996, 7222, 3636, 14980, 1012, 2757, 2386, 8892, 2346, 1999, 1996, 2380, 2003, 2315, 2005, 1037, 8132, 4842, 3005, 21933, 8737, 24768, 2303, 2001, 2179, 1999, 2010, 2219, 4562, 8132, 2045, 1999, 1996, 2220, 3983, 2301, 1012, 2176, 4328, 2571, 2448, 6223, 2083, 1996, 2380, 1024, 2049, 1051, 1005, 6720, 3589, 2003, 2315, 2005, 1996, 2757, 8132, 4842, 1005, 1055, 3428, 1010, 2040, 2020, 8833, 15776, 1999, 1996, 2181, 1012, 102, 101, 1999, 7257, 1996, 3933, 5370, 1010, 7222, 3636, 1998, 6901, 2737, 2441, 1010, 2206, 1996, 3636, 2083, 1996, 14980, 1012, 1996, 2047, 4296, 2109, 1996, 4659, 2504, 2799, 2247, 7222, 3636, 2000, 4957, 1996, 2047, 2259, 2430, 4296, 1006, 16392, 1007, 2000, 1996, 2167, 2007, 1996, 3154, 3790, 5317, 3790, 2000, 1996, 4943, 1010, 1998, 2007, 16392, 1030, 1011, 1030, 6035, 3210, 1999, 3766, 6442, 2000, 1996, 4643, 1012, 2011, 6306, 1996, 4334, 2240, 1005, 1055, 3679, 4026, 2443, 2093, 4628, 4499, 1998, 1021, 1030, 1010, 1030, 2199, 1030, 1010, 1030, 2199, 2460, 6197, 1006, 1020, 1030, 1010, 1030, 4278, 1030, 1010, 1030, 2199, 1056, 1007, 1997, 8441, 1012, 1999, 1996, 4193, 6138, 1010, 8833, 9297, 2435, 2126, 2000, 15899, 16197, 1010, 2029, 9687, 13891, 2000, 2334, 24744, 2015, 1012, 2045, 2020, 2410, 3316, 4082, 15899, 16197, 2247, 7222, 3636, 1998, 2049, 15777, 2090, 6929, 1998, 4885, 1010, 2096, 1996, 2197, 8833, 3298, 1999, 1996, 7222, 3636, 12547, 2318, 2006, 2210, 7222, 3636, 1999, 5497, 1012, 2011, 5141, 1996, 3389, 2669, 2401, 15899, 4296, 2001, 3668, 2000, 1996, 25345, 1997, 2176, 4328, 2571, 2448, 1010, 2029, 2038, 2195, 2152, 24236, 2008, 8729, 15664, 2013, 2108, 13715, 2091, 2009, 1012, 1999, 5778, 1996, 2240, 2584, 21000, 2391, 1998, 4562, 2448, 1010, 2029, 2003, 1996, 2642, 3675, 1997, 1996, 2380, 2651, 1012, 13891, 2006, 2176, 4328, 2571, 2448, 2008, 2018, 2042, 3130, 29104, 2001, 22629, 1998, 9687, 2011, 3345, 1010, 3322, 2000, 7723, 6676, 1005, 1055, 4971, 2012, 27339, 2850, 21763, 1012, 2043, 2008, 4971, 5296, 1999, 5497, 1010, 1996, 13891, 2253, 2000, 1996, 3389, 2669, 2401, 4971, 2006, 11354, 2448, 1999, 18995, 3545, 1012, 102, 101, 1996, 2214, 1030, 1011, 1030, 3930, 6138, 2020, 3154, 12690, 2011, 1996, 2220, 3983, 2301, 1998, 1996, 14980, 2001, 10040, 6436, 1012, 2498, 2001, 2187, 3272, 1996, 9550, 1030, 1011, 1030, 2041, 3392, 13284, 1010, 2029, 2150, 1037, 2543, 15559, 1012, 2004, 1037, 2765, 1010, 2172, 1997, 1996, 2455, 5296, 1998, 2001, 2187, 20225, 1012, 2006, 2089, 1020, 1010, 5778, 1010, 1996, 7051, 12691, 3780, 2018, 1996, 17653, 1000, 3748, 4915, 10028, 14074, 1000, 1998, 2988, 20148, 2015, 2083, 1996, 14980, 1012, 1996, 5800, 2001, 22595, 1997, 20435, 1010, 8769, 17776, 1996, 2598, 2524, 1010, 1998, 8894, 2015, 1997, 2630, 20968, 1010, 2304, 20968, 1010, 1998, 3137, 11893, 3139, 1996, 3154, 12690, 2455, 1010, 2029, 2150, 2124, 2004, 1996, 1000, 3552, 5532, 1000, 1012, 14295, 7260, 1996, 2181, 18043, 1998, 2172, 1997, 1996, 6870, 2001, 8342, 2041, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5680, 1027, 1027, 1027, 102, 101, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ]
[ 0.00265807723709979, 0.00008457018892290561, 0.00000908584511796533, 0.0003032540535701426, 0.015534835398241307, 0.014001020464026254, 0.004690136351508881, 0.00002006616924574867, 0.00116135328171272, 0.0005434529428939676, 0.0026499789445419246, 0.00020212053884449013, 0.03217757311292172, 0.11537090994536524, 0.0009058461893780746, 0.09371507297085692, 0.000321976833314538, 0.008989431385591547, 0.011107336560408689, 0.00002946666428314587, 9.234714584986028e-9, 0.000004316503006499656, 0.0008793874750200982, 0.00030084627452247643, 0.06678646976042431, 0.0010655084946185932, 0.0005543231555422529, 0.00012948072793729853, 0.00017444133094203382, 0.06888835665846882, 0.012563171077587318, 0.0070212916458889845, 0.001075142932541959, 0.027542920023899693, 0.0001919447014920507, 0.000023831136070005445, 0.0000030340101924426677, 0.07920344504839577, 0.0036220730908416493, 0.08747956632536476, 0.08771630715141579, 0.06107280452423738, 0.12243992981527446, 0.0014264805654222341, 9.234714584986028e-9, 0.01226921009362378, 0.011446638903759175, 0.0012213069825362805, 0.025009428235435775, 0.01541275980826299 ]
[ 101, 2577, 2899, 18493, 1010, 2019, 2220, 5680, 2923, 2040, 2626, 2104, 1996, 7279, 2171, 1000, 23384, 12274, 2243, 1000, 1010, 2001, 2028, 1997, 1996, 2034, 2000, 6232, 4697, 1996, 3552, 13891, 3068, 1998, 2049, 6215, 1997, 6138, 1998, 24974, 1012, 1999, 2010, 6988, 2338, 3536, 10419, 2002, 2626, 1997, 1996, 7222, 3636, 12547, 2073, 102, 101, 1037, 4121, 12780, 2100, 1012, 1012, 1012, 9947, 2015, 1998, 2304, 6132, 1996, 5460, 2007, 12141, 1010, 11286, 1998, 1051, 18153, 2063, 1012, 1012, 1012, 1012, 1996, 2320, 2986, 4472, 1998, 4317, 8454, 2024, 4991, 2046, 4249, 4317, 2135, 20384, 2007, 25788, 22475, 2015, 1012, 1998, 1010, 2000, 4410, 1996, 4078, 6030, 3508, 1010, 3082, 14887, 4499, 1997, 1005, 1996, 7222, 3636, 1998, 3933, 5370, 1054, 1012, 1054, 1012, 1005, 2175, 8505, 2075, 1031, 2011, 1033, 2471, 21462, 1012, 1012, 1012, 1997, 2607, 1010, 2023, 2003, 5082, 1025, 2021, 1010, 3251, 8848, 2030, 2830, 1010, 2018, 2488, 2022, 2787, 8442, 2086, 6516, 1012, 102, 101, 23384, 12274, 2243, 1005, 1055, 2616, 2253, 3262, 4895, 21030, 5732, 1999, 2010, 6480, 1998, 2106, 2025, 4652, 1996, 3154, 12690, 3436, 1997, 2471, 2035, 1996, 6261, 6138, 1999, 3552, 1012, 102, 101, 18493, 2973, 1999, 7051, 12691, 2013, 9730, 2127, 2010, 2331, 1999, 6193, 1010, 1998, 2001, 1996, 2034, 2000, 6235, 1996, 7222, 3636, 14980, 1012, 2002, 2036, 2649, 1037, 4440, 2000, 2054, 2150, 7723, 6676, 2110, 2380, 1998, 1996, 3193, 2225, 2408, 1996, 14980, 2000, 2054, 2150, 21000, 2391, 2110, 2380, 1024, 2044, 1037, 1020, 1030, 1011, 1030, 3542, 1006, 2184, 2463, 1007, 11829, 6292, 4536, 1010, 2002, 2018, 2000, 21857, 1021, 2661, 1006, 2340, 2463, 1007, 2083, 24453, 2015, 1997, 5357, 3628, 1998, 5628, 1010, 2091, 23188, 2015, 1010, 1998, 2058, 5085, 2005, 2274, 2847, 1012, 2012, 2197, 2002, 2584, 1000, 1996, 2391, 1000, 1010, 2029, 2002, 2626, 2001, 1000, 1996, 18414, 13027, 7342, 1997, 1037, 2152, 5526, 2029, 2025, 2069, 10954, 1037, 3007, 3193, 1997, 1996, 4500, 3137, 1010, 2021, 2036, 1997, 1996, 7222, 3636, 3028, 1010, 2039, 1998, 2091, 2005, 2661, 1000, 1012, 102, 101, 1996, 2455, 2006, 2029, 21000, 2391, 2110, 2380, 7719, 2001, 2853, 2000, 1996, 5663, 1999, 1996, 2397, 3708, 2301, 2005, 1002, 1016, 1030, 1012, 1030, 2753, 2566, 7456, 1006, 1002, 1020, 1030, 1012, 1030, 2423, 2566, 5292, 1007, 2011, 1996, 3552, 4101, 2455, 1998, 13891, 2194, 1010, 2029, 2018, 2053, 2582, 2224, 2005, 2009, 1012, 6974, 1999, 1996, 14980, 1996, 2110, 4149, 2455, 4704, 2011, 13891, 3316, 1010, 2823, 2005, 2625, 2084, 1002, 1016, 2566, 7456, 1006, 1002, 1019, 2566, 5292, 1007, 1012, 2122, 17402, 2150, 1996, 14841, 18170, 2110, 3224, 1010, 2029, 2001, 3985, 2511, 1999, 4849, 1012, 2004, 1997, 2325, 1996, 2110, 3224, 13974, 13913, 1030, 1010, 1030, 5709, 2475, 4631, 1006, 5764, 1030, 1010, 1030, 6535, 2549, 5292, 1007, 1010, 3262, 1999, 14841, 18170, 2221, 1010, 1998, 20626, 21000, 2391, 2110, 2380, 2000, 1996, 2167, 1010, 2225, 1010, 1998, 2148, 1012, 7723, 6676, 2110, 2380, 2003, 2006, 1996, 2789, 3675, 1997, 21000, 2391, 1012, 1999, 4798, 1010, 7051, 12691, 13891, 5797, 7723, 6676, 6955, 2010, 12695, 5286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.000017640782985915217, 0.0007182274360795637, 0.006536140566257249, 0.001772710666306234, 0.0005673886334954632, 0.048475798118461, 0.0004986781879004533, 0.006834433580481472, 0.09023719617305868, 0.0008887195038959008, 0.001598003203386268, 0.07464800623487718, 0.00564550960659584, 0.11634323564193039, 0.005910880038064899, 0.027919306284755602, 0.0002102584479595887, 0.008693403445180062, 0.00017070293274959713, 0.09829110988024434, 0.03013715840679823, 0.00012550543164394835, 0.0024099532245052072, 0.001457296873569892, 0.00002703554097517924, 0.034704586569665845, 0.0008955466488881971, 0.08311911064419457, 0.007903448688816473, 0.0012835370478942309, 0.00006161925270941224, 0.04663109110230696, 0.036118916000782486, 0.00004364977244698301, 0.016449268694235977, 0.022675160347330282, 0.00044836808509535767, 0.0006496784338079012, 0.007260403600287858, 0.0009545290642430101, 0.0032628220883325967, 0.010230299008692238, 0.0797911547441935, 0.0028855530519144032, 0.026628996700181765, 0.003031446183237037, 0.004135402492159358, 0.027739664981170094, 0.024043008485168788, 0.028918439470086554 ]
[ 2006, 1996, 2789, 11418, 1997, 1996, 14980, 2000, 1996, 5663, 1997, 3552, 1010, 2029, 2315, 2009, 1000, 7723, 6676, 2110, 3224, 2380, 1000, 1012, 102, 101, 6676, 2036, 2328, 2048, 20321, 1010, 2315, 1000, 4954, 2819, 2912, 1000, 1998, 1000, 9808, 24163, 6508, 1000, 1010, 2006, 1996, 2225, 2217, 1997, 7222, 3636, 1010, 2074, 2167, 1997, 1996, 2677, 1997, 2176, 4328, 2571, 2448, 1012, 8811, 2044, 5778, 1010, 2280, 3552, 3099, 2520, 1037, 1012, 2962, 2328, 1037, 6644, 2315, 1000, 2540, 1005, 1055, 1030, 1011, 1030, 7496, 1000, 2074, 2148, 1997, 1996, 2677, 1997, 2176, 4328, 2571, 2448, 1012, 1999, 3547, 2122, 20321, 2020, 2145, 3061, 1998, 2020, 2093, 1997, 1000, 2069, 2176, 2158, 1030, 1011, 1030, 2081, 5090, 2503, 1996, 8399, 5372, 1000, 1010, 2021, 2011, 2857, 2069, 2962, 1005, 1055, 6644, 1998, 2028, 1997, 6676, 1005, 1055, 20321, 2815, 1012, 2004, 1997, 2432, 1010, 2122, 5144, 2020, 2145, 3079, 2011, 1996, 2962, 2155, 1010, 1998, 2024, 2112, 1997, 1037, 2235, 20463, 1997, 2797, 2455, 2306, 1996, 2380, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2715, 3690, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 6831, 5680, 3650, 1006, 10507, 2278, 1007, 2318, 2147, 2006, 1996, 2380, 1999, 2238, 4437, 1010, 1998, 2009, 2441, 2004, 1000, 21000, 2391, 2110, 3224, 2380, 1000, 1999, 4266, 1012, 1996, 10507, 2278, 1010, 2631, 2011, 2142, 2163, 2343, 5951, 1040, 1012, 8573, 2076, 1996, 2307, 6245, 1010, 2580, 5841, 2005, 18787, 2402, 2273, 2013, 2802, 1996, 2142, 2163, 1012, 2172, 1997, 1996, 2147, 1997, 1996, 10507, 2278, 2012, 21000, 2391, 2003, 2145, 5710, 2004, 1997, 2325, 1010, 1998, 2003, 2028, 1997, 2116, 4973, 1997, 1996, 2147, 1997, 1996, 10507, 2278, 2802, 2167, 13013, 7941, 3552, 1012, 102, 101, 1999, 4266, 1010, 1996, 2095, 1996, 2380, 2441, 1010, 6554, 3536, 2378, 1997, 7051, 12691, 1998, 2060, 14841, 18170, 2221, 2449, 5608, 2211, 1037, 6813, 3049, 2000, 5326, 1996, 7222, 3636, 14980, 2004, 1000, 1996, 2882, 8399, 1997, 3552, 1000, 1012, 21220, 3902, 3210, 2956, 1037, 3193, 1997, 1996, 8399, 2013, 1037, 7723, 6676, 19052, 2006, 1996, 2067, 3104, 1997, 2049, 4448, 3023, 23839, 1012, 1996, 3902, 2240, 1005, 1055, 3190, 2000, 2047, 2259, 2103, 2778, 2018, 2019, 11585, 2994, 1999, 7051, 12691, 1998, 1037, 2851, 3942, 2000, 1996, 8399, 2005, 1002, 1017, 1012, 2062, 2084, 3998, 1030, 1010, 1030, 2199, 9045, 4716, 1996, 8399, 2011, 1996, 7114, 1997, 4266, 1010, 1998, 2321, 1030, 1010, 1030, 2199, 4716, 7723, 6676, 2058, 3986, 2154, 5353, 1999, 4347, 1012, 2008, 2095, 2062, 5731, 2234, 2000, 1996, 7222, 3636, 14980, 2084, 2000, 29231, 2120, 2380, 1012, 1999, 3433, 2000, 1996, 3082, 2224, 1997, 1996, 2334, 4925, 1010, 1996, 10507, 2278, 8723, 1996, 10292, 1999, 1996, 2181, 1010, 1998, 12468, 2013, 1996, 10507, 2278, 2435, 7562, 1997, 1996, 8399, 1012, 102, 101, 21000, 2391, 2761, 2441, 2007, 2069, 1000, 3132, 4128, 1000, 1010, 2021, 1996, 3112, 1997, 1996, 6813, 3049, 2419, 2000, 1996, 2380, 1005, 1055, 4935, 2011, 1996, 10507, 2278, 1012, 2047, 4128, 2020, 2794, 1999, 4260, 1010, 1998, 2443, 3121, 2107, 2004, 12695, 10531, 2015, 1010, 2474, 18886 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00001705486128228663, 0.01674878042734999, 0.00033571160517434156, 0.07674225547097212, 0.00044813036534100466, 0.0008939285393991764, 0.00012265678609220415, 0.00015057169165472886, 0.0003964331606347197, 0.003947934789673726, 0.021095549566958024, 0.002338083355169055, 0.0540050553501174, 0.00001011580001652828, 0.027207634141480603, 0.040451188671560875, 0.0008323729627209226, 0.05552877939398713, 0.022773839089422012, 0.00245930044176985, 0.00006055279869244713, 0.07801082407044124, 0.043428010148136686, 0.049893324540700605, 0.017786084657549564, 0.03767373882525563, 0.000038343637261274256, 0.02257635989009003, 0.03183932344666346, 0.03088743730365713, 0.0008148502951893045, 0.0019772193836195637, 0.0012234690416823345, 0.06248612245849952, 0.002067565317580839, 0.0032925380223634733, 0.00011454491475499832, 0.08013153331857578, 0.01114680447580505, 0.049348570548463935, 0.0002976675992462352, 0.005206487313666587, 0.0015571990234171148, 0.10393884731712373, 0.0073618415408676485, 0.0013074199273059063, 0.00003228785942556196, 0.01624926033372087, 0.0012646010454590252, 0.011481794474007755 ]
[ 5267, 1010, 1998, 1037, 16427, 3233, 1010, 2004, 2092, 2004, 1000, 2962, 5660, 16247, 2015, 1010, 7251, 1010, 1998, 2764, 9612, 1998, 27590, 2015, 1012, 1012, 1012, 2019, 6429, 3815, 1997, 2147, 1999, 2028, 2095, 1000, 1012, 1996, 10507, 2278, 2036, 2328, 1996, 2346, 2000, 1996, 2380, 1998, 8461, 4832, 1997, 2474, 11140, 1010, 19893, 1998, 2317, 7222, 2005, 25416, 25794, 1012, 2006, 2337, 2260, 1010, 3055, 1010, 1996, 2972, 4029, 2620, 1030, 1011, 1030, 7456, 1006, 17332, 5292, 1007, 2380, 2001, 3205, 1999, 1996, 2120, 4236, 1997, 3181, 3182, 1006, 22424, 1007, 1010, 2164, 1000, 2809, 3121, 1998, 3157, 5090, 1000, 1012, 102, 101, 1996, 2380, 2038, 2274, 10507, 2278, 1030, 1011, 1030, 2328, 12695, 17177, 1024, 10531, 2015, 1015, 1010, 1017, 1010, 1998, 1018, 2024, 2081, 1997, 2962, 1998, 7227, 2007, 2962, 13788, 2015, 1010, 2096, 10531, 2015, 1016, 1998, 1019, 2169, 2038, 8833, 7753, 2008, 2490, 1037, 11918, 2389, 4412, 1012, 1996, 10507, 2278, 2036, 2328, 2416, 27471, 2474, 18886, 5267, 2007, 28618, 6277, 17326, 1998, 13733, 15753, 1010, 1998, 2019, 5230, 8071, 2008, 2003, 3139, 2007, 1037, 2659, 5099, 5669, 4412, 1012, 3176, 5090, 3833, 2011, 1996, 10507, 2278, 2421, 2093, 27590, 2015, 1998, 1037, 10806, 13733, 1030, 1011, 1030, 26080, 6032, 2311, 2007, 14071, 2063, 3341, 17326, 1998, 6086, 21298, 2545, 2081, 1997, 15664, 1012, 1996, 5090, 2328, 2011, 1996, 10507, 2278, 2024, 19144, 1999, 2008, 2027, 4654, 6633, 28250, 1996, 27471, 2806, 1997, 2810, 2008, 2001, 15157, 2012, 2120, 1998, 2110, 6328, 2328, 2076, 1996, 2307, 6245, 1012, 3667, 2109, 7246, 2179, 1010, 3019, 4475, 1999, 2810, 2008, 19803, 2007, 1996, 3019, 11301, 1012, 2025, 2035, 1997, 1996, 10507, 2278, 1005, 1055, 2147, 2038, 5175, 1012, 1037, 16427, 3233, 2001, 2328, 2011, 1996, 10507, 2278, 1998, 2853, 2833, 1998, 2061, 27346, 18894, 2013, 1996, 2397, 5687, 2000, 2012, 2560, 4052, 1010, 2021, 2001, 2025, 3205, 2006, 1996, 3069, 22424, 6488, 2433, 1012, 1996, 10507, 2278, 2036, 2328, 1037, 5318, 1998, 2962, 4297, 26455, 8844, 1010, 2021, 2009, 2003, 1999, 8435, 2085, 1012, 102, 101, 1996, 3552, 9183, 2604, 3333, 1996, 2773, 1000, 3224, 1000, 1998, 3985, 2315, 2009, 1000, 21000, 2391, 2110, 2380, 1000, 2006, 2281, 2340, 1010, 4051, 1012, 1996, 2034, 2350, 2689, 1999, 1996, 2380, 2001, 1999, 3359, 1010, 2043, 1037, 13215, 2181, 2001, 2511, 1012, 2008, 2168, 5476, 2387, 1996, 6503, 1997, 1037, 2047, 2300, 2291, 1999, 3381, 1010, 1998, 1037, 3173, 4951, 15653, 2276, 2001, 2794, 2000, 1996, 13215, 2181, 1999, 3355, 1012, 1037, 2380, 2436, 2001, 2328, 1999, 3172, 1010, 2021, 2004, 1997, 2268, 1996, 2380, 4075, 2024, 1999, 1996, 13562, 7723, 6676, 2110, 2380, 1998, 1996, 21000, 2391, 2436, 2515, 2025, 3711, 2006, 1996, 2880, 2380, 4949, 1012, 7222, 3636, 2001, 2315, 1037, 2110, 12916, 2314, 2006, 2285, 1018, 1010, 2826, 1010, 2029, 16316, 2582, 3860, 1997, 7222, 3636, 14980, 1999, 2049, 3019, 2110, 1012, 1999, 2722, 1996, 2380, 1005, 1055, 2590, 4743, 2181, 1006, 21307, 2050, 1007, 2001, 2028, 1997, 1996, 2034, 6421, 21307, 3022, 2511, 1999, 3552, 1012, 1999, 2456, 1996, 2380, 2150, 2112, 1997, 1996, 4564, 3636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 9.249115206517579e-9, 0.0007200452825014973, 0.00019561112051885994, 0.0001193802693326992, 0.09233303522673027, 0.01045781351142281, 0.015119556512118073, 0.0027178386821172327, 0.028975026003994292, 0.07872753506072075, 0.000030821359049452633, 0.002990574234432131, 0.013321521147011421, 0.05449153606379495, 0.000026194850183285897, 0.0020853482122097666, 0.0006869267471420138, 0.00041000813601669927, 0.004467032114874611, 0.00294714940455491, 0.00029466144647956083, 0.08672057558979747, 0.15038776221408073, 0.00018457641918595013, 9.254411058954827e-9, 0.0007977712963233067, 0.08405981597399777, 0.0003626988779631157, 0.000015198256731163148, 0.0033716822537542077, 0.1026211255434364, 9.249115206517579e-9, 0.0035487113445947373, 0.0022039117061956317, 0.003983771878191535, 0.00004554774995045553, 0.000004907921219213428, 0.000042785381455577796, 0.00028824357341914613, 0.00006206362833188933, 0.06907200542825356, 0.040479939601216965, 0.0012207702671529614, 0.0015331850198322201, 9.249115206517579e-9, 0.00001995248368266209, 0.024438047463550418, 0.000007243791902064326, 0.013235656145257008, 0.10017439780356183 ]
[ 2110, 2380, 3375, 1010, 2019, 3831, 19765, 1997, 2809, 2110, 6328, 1999, 10693, 1998, 14841, 18170, 5721, 1012, 2004, 1997, 2432, 1010, 1996, 2380, 2515, 2025, 2031, 7026, 2030, 5992, 3210, 1010, 2348, 2009, 3594, 5943, 4442, 2005, 3132, 6451, 3791, 1012, 102, 101, 1996, 2117, 2431, 1997, 1996, 3983, 2301, 2036, 2387, 3278, 3431, 2000, 1996, 4334, 2240, 2083, 1996, 7222, 3636, 14980, 1012, 3180, 4628, 2326, 2006, 1996, 8399, 2240, 3092, 2044, 1996, 2117, 2088, 2162, 1010, 1998, 1999, 3624, 1996, 2117, 2275, 1997, 3345, 3162, 2001, 3718, 1012, 9530, 15118, 4704, 1996, 2930, 1997, 1996, 4296, 2008, 2979, 2083, 1996, 14980, 2006, 2244, 2538, 1010, 2997, 1012, 1996, 2157, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 2126, 2776, 2150, 1996, 7222, 3636, 4334, 4446, 1010, 2029, 4076, 1996, 4130, 1997, 1996, 2280, 7222, 3636, 4130, 1012, 1996, 2034, 2930, 1997, 1996, 4334, 4446, 2441, 1999, 2727, 1998, 2443, 1996, 1015, 1030, 1011, 1030, 3542, 1006, 1015, 1030, 1012, 1030, 1020, 2463, 1007, 2930, 1999, 1996, 2380, 1024, 2004, 1997, 2325, 1996, 7222, 3636, 4334, 4446, 2003, 5786, 2661, 1006, 2531, 2463, 1007, 2146, 1012, 102, 101, 21000, 2391, 2110, 2380, 2506, 2000, 9958, 2120, 3086, 1999, 1996, 2695, 1030, 1011, 1030, 2162, 3690, 1012, 1996, 2047, 2259, 2335, 2956, 1996, 2380, 1998, 2049, 1000, 3052, 1030, 1011, 1030, 2635, 5328, 1997, 1996, 14980, 1000, 2004, 2092, 2004, 2049, 9612, 1998, 3295, 1999, 1996, 3748, 2015, 1997, 1996, 2110, 3224, 1999, 1037, 3925, 3720, 1010, 1998, 1999, 3547, 5868, 1996, 2317, 5880, 23639, 2006, 7222, 3636, 1998, 1996, 2380, 1005, 1055, 1000, 5151, 2298, 1030, 1011, 1030, 2041, 2685, 1000, 1012, 1996, 7222, 3636, 14980, 1010, 2164, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1998, 1037, 2260, 1030, 1011, 1030, 3542, 1006, 2539, 2463, 1007, 2930, 1997, 14841, 18170, 2110, 3224, 1010, 2001, 2315, 1037, 2120, 3019, 8637, 1006, 1050, 20554, 1007, 1999, 2258, 3380, 1012, 1037, 3381, 2047, 2259, 2335, 3720, 2006, 2317, 5880, 14347, 2075, 3264, 1996, 4053, 2247, 7222, 3636, 2589, 2011, 7064, 11166, 1996, 2095, 2077, 1012, 2178, 2335, 2466, 1999, 2526, 3264, 1996, 2380, 2005, 2049, 5053, 1998, 6870, 1010, 1998, 6563, 2009, 2004, 1037, 3225, 2391, 2005, 13039, 1996, 2225, 11418, 4446, 1012, 102, 101, 1999, 1996, 2047, 10144, 1010, 1996, 2048, 2110, 6328, 2006, 2593, 2217, 1997, 1996, 7222, 3636, 14980, 2024, 4703, 5845, 2004, 2028, 1012, 1037, 2526, 2047, 2259, 2335, 3720, 2170, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1000, 2048, 2110, 6328, 1010, 4055, 2011, 1037, 8399, 1000, 1998, 3264, 2037, 1000, 27590, 2015, 3749, 1996, 2087, 12656, 5328, 1000, 1012, 21000, 2391, 1998, 7723, 6676, 2020, 2169, 2443, 1999, 1996, 2862, 1997, 2110, 6328, 4217, 2011, 1996, 5887, 16118, 3552, 4879, 1997, 6328, 2005, 2049, 1000, 2423, 2442, 1030, 1011, 1030, 2156, 3552, 2110, 6328, 1000, 2862, 1012, 1996, 5887, 16118, 5577, 2129, 2027, 1000, 3749, 12656, 13005, 2015, 1998, 1037, 18783, 3193, 1997, 7222, 3636, 14980, 1010, 2036, 2124, 2004, 3552, 1005, 1055, 2882, 8399, 1000, 1012, 2009, 3632, 2006, 2000, 8489, 2037, 10502, 1999, 1037, 2120, 3019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0007678112755042032, 0.06778047024394539, 0.013682988264376972, 0.0036563767327300488, 0.01721897764923794, 0.06866591208017475, 0.013931318023851183, 0.13059899262190042, 0.009611487792043932, 0.00017588250245658316, 0.00003405728481648223, 0.08139802785350242, 0.07283596703307503, 0.04680015675714346, 0.00032089529068600356, 0.008820907769258278, 0.00021296937335205866, 0.0005068031951112668, 0.041435256381660936, 1.1184537600459365e-8, 0.0013802866613858186, 0.004829858413701537, 0.0025037645857888947, 0.04422570782351411, 0.00894715942386477, 0.0004574654467959114, 0.00011471799399249573, 0.000047572841621892374, 0.007493297409876045, 0.001401309316561365, 0.01772934391658423, 0.010122582226657208, 0.00027996178322600506, 0.0037698784838035657, 0.0001361102434113052, 0.10179136847859993, 0.000054792613967654996, 0.004815604955185386, 0.012403309159863941, 0.024368185333713478, 0.0382404677257124, 0.0017028421486855558, 0.06949075021780671, 0.012377622846137302, 0.014502235613909844, 0.00014097609492672638, 1.6003470950204955e-7, 0.03374248984559517, 0.004474897866498623, 1.1184537600459365e-8 ]
[ 8637, 1998, 2110, 2380, 3019, 2181, 1010, 13039, 1998, 9612, 1010, 1998, 1996, 7222, 3636, 4334, 4446, 1998, 12170, 5666, 20464, 2075, 1012, 102, 101, 102, 101, 1027, 1027, 7222, 3636, 14980, 1027, 1027, 102, 101, 102, 101, 21000, 2391, 2110, 2380, 3658, 2006, 1996, 2225, 2217, 1997, 1996, 7222, 3636, 14980, 1010, 2036, 2124, 2004, 1996, 2882, 8399, 1997, 3552, 1012, 1037, 2905, 2380, 1010, 7723, 6676, 2110, 2380, 1010, 2003, 2006, 1996, 2264, 2217, 1010, 1998, 1996, 2048, 6328, 4117, 2433, 7687, 2028, 2312, 2380, 2008, 2950, 3033, 1997, 1996, 14980, 1998, 3636, 1998, 3033, 1997, 1996, 9814, 4487, 11393, 10985, 2011, 1996, 14980, 1012, 7222, 3636, 2038, 7844, 1996, 14980, 3053, 4700, 2661, 1006, 6146, 2463, 1007, 2083, 1996, 4487, 11393, 10985, 21192, 9814, 1999, 2167, 13013, 7941, 3552, 1012, 1996, 8399, 4269, 1999, 8772, 14841, 18170, 2221, 1010, 2074, 2148, 1997, 1996, 2352, 1997, 25435, 2401, 1010, 1998, 4247, 2148, 2000, 2379, 1996, 2352, 1997, 2300, 3077, 1999, 1048, 2100, 18935, 2221, 1012, 1996, 5995, 1997, 1996, 14980, 1999, 21000, 2391, 2110, 2380, 2003, 2055, 5385, 2519, 1006, 11212, 1049, 1007, 1998, 2009, 5761, 3053, 1018, 1030, 1010, 1030, 2199, 2519, 1006, 1015, 1030, 1010, 1030, 3263, 1049, 1007, 2408, 1012, 102, 101, 1996, 7222, 3636, 14980, 2120, 3019, 8637, 2950, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1998, 3033, 1997, 1996, 14841, 18170, 2110, 3224, 2247, 2260, 2661, 1006, 2539, 2463, 1007, 1997, 7222, 3636, 2090, 25435, 2401, 1998, 18776, 1012, 2023, 2976, 2565, 2515, 2025, 3073, 2151, 4469, 3860, 3458, 2008, 3253, 2011, 1996, 2455, 3954, 1012, 1996, 2120, 2380, 2326, 1005, 1055, 8259, 1997, 1996, 14980, 2004, 1037, 2120, 3019, 8637, 3964, 2008, 2009, 1000, 3397, 3565, 26255, 17363, 1010, 9843, 1998, 12231, 3643, 1010, 1998, 2003, 2028, 1997, 1996, 10418, 4973, 1997, 1037, 2784, 14980, 1999, 1996, 2789, 2142, 2163, 1012, 1000, 102, 101, 1996, 14980, 2003, 2036, 5123, 2011, 1996, 2110, 1997, 3552, 2004, 1996, 2260, 1030, 1010, 1030, 17867, 1030, 1011, 1030, 7456, 1006, 1018, 1030, 1010, 1030, 6227, 2475, 5292, 1007, 7222, 3636, 14980, 3019, 2181, 1010, 2029, 2003, 1996, 2117, 2922, 2110, 3019, 2181, 1999, 3552, 1012, 2306, 2023, 2181, 1010, 6353, 2683, 4631, 1006, 25504, 5292, 1007, 1997, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 2024, 4351, 1037, 2110, 2380, 3019, 2181, 1012, 1996, 2110, 3019, 2181, 3216, 2247, 7222, 3636, 2013, 9548, 2448, 1999, 1996, 2167, 1006, 2074, 2917, 25435, 2401, 1007, 2000, 6128, 2448, 1999, 1996, 2148, 1006, 2074, 2682, 18776, 1007, 1012, 2009, 2003, 3155, 2260, 2661, 1006, 2539, 2463, 1007, 2146, 1998, 1016, 2661, 1006, 1017, 2463, 1007, 2898, 1010, 2007, 2110, 3224, 4925, 4346, 2035, 1997, 1996, 2530, 3675, 1998, 2112, 1997, 1996, 2789, 3675, 1012, 102, 101, 2306, 1996, 2380, 1010, 7222, 3636, 1998, 1996, 3681, 1997, 1996, 14980, 1000, 5710, 2013, 1996, 4500, 17721, 1000, 2024, 2036, 5123, 2011, 1996, 2110, 2004, 1037, 3552, 12916, 2314, 1012, 1999, 3380, 7222, 3636, 2001, 2028, 1997, 2069, 2676, 5485, 2761, 4351, 2004, 7792, 2000, 2022, 2443, 1999, 1996, 2120, 3748, 1998, 12916, 5485, 2291 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.002265626959531378, 0.043937920766246356, 0.08872054904834538, 0.00006663194706948506, 0.015938546784390915, 0.000004699750238908794, 0.0007515759718328294, 0.0011000472935981049, 0.020125308704408405, 0.0009646974094975364, 0.021248765236376314, 0.001425960079876072, 0.00016243092226358622, 0.07589698698323076, 0.05663381742408177, 0.000009640061430162524, 0.0010532542090070812, 0.0035147973069547486, 0.03399230585490839, 0.021936582204173802, 0.0013393571285678237, 0.05595041868226448, 0.02750263320275396, 0.0000010859126849143961, 0.01941820102952504, 0.0069564518105472845, 0.0001690558313515063, 0.0000011236488512057242, 0.034869946415070144, 0.012332847656248142, 0.0005729683684407116, 0.0006593487594529402, 0.000479817696033048, 0.04694424761936889, 0.010959233495648304, 0.06932388977316682, 0.04427743877642448, 0.0013507323573400097, 0.03356114936259331, 0.09885349691226539, 0.00019784465473784372, 0.000036323798682725815, 0.06481391497962159, 0.06283066988594437, 0.0028168883018019394, 0.0038213852416906042, 0.0011247532393408994, 1.0050630048872307e-8, 0.00003132041803438954, 0.009053300073455102 ]
[ 1010, 1998, 2028, 1997, 2069, 2809, 4919, 3855, 1999, 1996, 2375, 7411, 1996, 2565, 1012, 2077, 7222, 3636, 2071, 2022, 2443, 1999, 1996, 2976, 2565, 1010, 1996, 2110, 11955, 2049, 2110, 12916, 5485, 2552, 1010, 2059, 2356, 2008, 7222, 3636, 2022, 9633, 2013, 1996, 2120, 8259, 1012, 2045, 2001, 2172, 2334, 4559, 2000, 2049, 10502, 1010, 2241, 2012, 2560, 6576, 2006, 13534, 10069, 2008, 3860, 2052, 9125, 18634, 1997, 2797, 3200, 1998, 7775, 3229, 1012, 2776, 2023, 4559, 2001, 9462, 1010, 2021, 3552, 2106, 2025, 3985, 2421, 2009, 2004, 2028, 1997, 2049, 2219, 2110, 12916, 1998, 3748, 5485, 2127, 2281, 2423, 1010, 2826, 1012, 1996, 2110, 5845, 7222, 3636, 2004, 1037, 2110, 12916, 2314, 2090, 3380, 1998, 2826, 1012, 2009, 5123, 1996, 3636, 2013, 5477, 1030, 1011, 1030, 2311, 1998, 2300, 10534, 2015, 2005, 2373, 4264, 1010, 1998, 2794, 2270, 3229, 2685, 2000, 5547, 24403, 15194, 2075, 2006, 2797, 3200, 2011, 5731, 2000, 1996, 3636, 1012, 102, 101, 102, 101, 1027, 1027, 13404, 1998, 4785, 1027, 1027, 102, 101, 102, 101, 2348, 1996, 2600, 13197, 6086, 1999, 21000, 2391, 2110, 2380, 1998, 1996, 7222, 3636, 14980, 2024, 2012, 2560, 3998, 2454, 2086, 2214, 1010, 1996, 14980, 2993, 2719, 2055, 2322, 1030, 1010, 1030, 2199, 2086, 3283, 1010, 1999, 1996, 2197, 3256, 2287, 1012, 7222, 3636, 2018, 13230, 4794, 12561, 2127, 2059, 1010, 2021, 2001, 5477, 7583, 2011, 5749, 1010, 5800, 1010, 3256, 1010, 1998, 2060, 11385, 14140, 2011, 1996, 28667, 17819, 14718, 5178, 6803, 10046, 1012, 1996, 5477, 7583, 3636, 2719, 1037, 2697, 2379, 2054, 2052, 2101, 2022, 1996, 2352, 1997, 25435, 2401, 1010, 1998, 1996, 2697, 1005, 1055, 17381, 14899, 5880, 2058, 12314, 2098, 1996, 11385, 5477, 1010, 7065, 2545, 2075, 1996, 4834, 1997, 7222, 3636, 1012, 1996, 3636, 10361, 2000, 1996, 2148, 1998, 2855, 7844, 1037, 2784, 3149, 2006, 2049, 2126, 2000, 1996, 2225, 3589, 26361, 2314, 1012, 102, 101, 1996, 2380, 2003, 2012, 2019, 6678, 1997, 1015, 1030, 1010, 1030, 6191, 2581, 2519, 1006, 4749, 2683, 1049, 1007, 2006, 1996, 21192, 9814, 1010, 2029, 2719, 1999, 1996, 2035, 13910, 10222, 2937, 20298, 17487, 2070, 3998, 2454, 2086, 3283, 1010, 2043, 2175, 4859, 21761, 1006, 4919, 2054, 2150, 3088, 1007, 1998, 2054, 2150, 2167, 2637, 17745, 1010, 5716, 20657, 21996, 1012, 2348, 1996, 14980, 1998, 2049, 11301, 4025, 2000, 2022, 14897, 1010, 1996, 2181, 2003, 1037, 4487, 11393, 10985, 9814, 1012, 2086, 1997, 14173, 2031, 3013, 2185, 1996, 3730, 5749, 1010, 5716, 1996, 12467, 1010, 1998, 2187, 1996, 18263, 1997, 1996, 3418, 5749, 4659, 22154, 2006, 1996, 2327, 1997, 4629, 16386, 1010, 3228, 2068, 1996, 3311, 1997, 1000, 4020, 1000, 1012, 102, 101, 1996, 2455, 2006, 2029, 21000, 2391, 2110, 2380, 7719, 2001, 2320, 2112, 1997, 1996, 15458, 1997, 1037, 8467, 2712, 2008, 3139, 1037, 2307, 4664, 1997, 2054, 2003, 2085, 2167, 2637, 1012, 1996, 2152, 4020, 2000, 1996, 2264, 1997, 1996, 2712, 6360, 23300, 1010, 4786, 1037, 3857, 6279, 1997, 19671, 2081, 2039, 3952, 1997, 5726, 1010, 5472, 1998, 11127, 1012, 14388, 3778, 2006, 1996, 19671, 3303, 1996, 4195, 1997, 1996, 5749, 2008, 2024, 2179, 2651, 1999, 1996, 7222 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0011499877982885803, 0.021970439575432463, 0.11461059231587296, 0.00006770228305807054, 0.0003585762425890034, 0.010024791854941697, 0.03812073615039681, 0.016820424098032343, 0.000015441297273880103, 0.04609479351366902, 0.0014251133617857327, 0.0011527780961212903, 0.006293455724726286, 0.053397789725885124, 0.0343578966127601, 0.0031829725418219337, 0.00245977805150501, 0.0017577966913634253, 0.000024413991968520968, 0.00038442983561848536, 0.011215066826972106, 0.00010317493304062845, 0.004229039402240133, 0.0076881252218234325, 0.00033303269584149015, 0.00034934198898513535, 9.68748852664327e-9, 0.026611566318391087, 0.005511143967559241, 0.0029350069664019103, 0.06548660880348735, 0.106265813880971, 0.000005055963947481397, 0.1231268117641633, 0.020547377791554976, 0.009892925551977287, 0.021768235552029887, 0.024500423507372946, 0.03237459027458371, 0.0004836002147105524, 0.08286520360776613, 0.011401494580895503, 0.0007606191446663132, 0.002711450936877932, 0.002735051900423089, 0.000147049901784212, 0.00016627961741524268, 0.018030231491336493, 0.00045042086285277674, 0.06363533687932939 ]
[ 3636, 11987, 6403, 1024, 11694, 1010, 18488, 1010, 22453, 2015, 1010, 9771, 1010, 1998, 5317, 1012, 102, 101, 2274, 2350, 2600, 13197, 2556, 1999, 21000, 2391, 2110, 2380, 2024, 2013, 1996, 7614, 2937, 1998, 6351, 23930, 6993, 1012, 1996, 6587, 1997, 2122, 1010, 2029, 3596, 1996, 3284, 2685, 1999, 1996, 2380, 1998, 2247, 1996, 14980, 1010, 2003, 1996, 2220, 3552, 2078, 8962, 3215, 3077, 4195, 1010, 1037, 3897, 22453, 2008, 2089, 5383, 11694, 1010, 9033, 21593, 5524, 1010, 1998, 18488, 1010, 2004, 2092, 2004, 14405, 13492, 17847, 5317, 1012, 2659, 1030, 1011, 1030, 17864, 5317, 2001, 2320, 21846, 2012, 2093, 5269, 2306, 1996, 7222, 3636, 12547, 1012, 2917, 2023, 2003, 1996, 2397, 5900, 2319, 5003, 10875, 20000, 4195, 1010, 2029, 2003, 2719, 2007, 3897, 4509, 1030, 1011, 1030, 2417, 18488, 1010, 9033, 21593, 5524, 1010, 11694, 1010, 1998, 22453, 1012, 6341, 11115, 2020, 2320, 7844, 2013, 1996, 6086, 5433, 1997, 2023, 22453, 1012, 2362, 1996, 8962, 3215, 3077, 1998, 5003, 10875, 20000, 13197, 2024, 2070, 3998, 2519, 1006, 6205, 1049, 1007, 4317, 1012, 102, 101, 2279, 2917, 2122, 2003, 1996, 2397, 7614, 2937, 1998, 2220, 5900, 2319, 5690, 3051, 3137, 4195, 1010, 2029, 2003, 2081, 1997, 4659, 3730, 3897, 4509, 1030, 1011, 1030, 2417, 18488, 1998, 9724, 1030, 1011, 1030, 3897, 11694, 1012, 2023, 2003, 4659, 2524, 2600, 1998, 3596, 2116, 1997, 1996, 16386, 1012, 2917, 2023, 2003, 1996, 2417, 18488, 1998, 9033, 21593, 5524, 1997, 1996, 8870, 15872, 4195, 1010, 2055, 24643, 2519, 1006, 11816, 1049, 1007, 4317, 1998, 2070, 18034, 2454, 2086, 2214, 1012, 2023, 6741, 2003, 4659, 3730, 1998, 4089, 23300, 1010, 2029, 3271, 2000, 2433, 1996, 7222, 3636, 14980, 1012, 13333, 2719, 2011, 1996, 5690, 3051, 3137, 1998, 8870, 15872, 13197, 2024, 5710, 2167, 1997, 1996, 2380, 2012, 3347, 25127, 2600, 1012, 1996, 7290, 1998, 4587, 6741, 2003, 1996, 5843, 4033, 4195, 1010, 2029, 2003, 3897, 2000, 2665, 1030, 1011, 1030, 2829, 9033, 21593, 5524, 1998, 18488, 2058, 4278, 2454, 2086, 2214, 1012, 2009, 3596, 1996, 2918, 1997, 1996, 14980, 1010, 3397, 3884, 11954, 1010, 1998, 2003, 2039, 2000, 5174, 2519, 1006, 8380, 1049, 1007, 4317, 1012, 102, 101, 1996, 21192, 9814, 2038, 1037, 6803, 4785, 1010, 2007, 8138, 5729, 2659, 7715, 1999, 3467, 1998, 2779, 3679, 4860, 8483, 1997, 2322, 1080, 1042, 1006, 2340, 1080, 1039, 1007, 1999, 3467, 1998, 2656, 1080, 1042, 1006, 2403, 1080, 1039, 1007, 1999, 2621, 1012, 1996, 2812, 3296, 13511, 2005, 1996, 7222, 3636, 12547, 2003, 4029, 2000, 4413, 5282, 1006, 6205, 2549, 2000, 1015, 1030, 1010, 1030, 5718, 2692, 3461, 1007, 1012, 1996, 3284, 2680, 4860, 2012, 1996, 2380, 2001, 9645, 1080, 1042, 1006, 2871, 1080, 1039, 1007, 1999, 4266, 1010, 1998, 1996, 2501, 2659, 2001, 1597, 2382, 1080, 1042, 1006, 1597, 4090, 1080, 1039, 1007, 1999, 4579, 1012, 102, 101, 102, 101, 1027, 1027, 13517, 1027, 1027, 102, 101, 102, 101, 13271, 2013, 2220, 19264, 1998, 7322, 2507, 2070, 2801, 1997, 2054, 1996, 7222, 3636, 14980, 2001, 2066, 2077, 2009, 2001, 3154, 12690, 1012, 1996, 3224, 2001, 2039, 2000, 5594, 3867, 19610, 7878, 1998, 2317, 7222, 1025, 23165, 2015, 2081 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0005047322189509642, 0.027598119019543642, 0.027405044591645337, 0.006890001245386597, 0.00120181945643989, 0.0001340509741008654, 8.99645045047576e-9, 0.006832217485092808, 0.00403360770855397, 0.00005581883312791063, 0.02987509604770083, 0.00046495431606707264, 0.0003598198619901653, 0.011093351589955947, 0.0013877381422167832, 8.99645045047576e-9, 0.0879853368705812, 0.007845741905304904, 0.0027202263144380135, 0.00007594985399849252, 0.10532981136915219, 0.000011506974279891504, 0.1083835610951203, 0.00041829298312158155, 0.000003912409486399677, 0.000011909181235806018, 0.07061522215248936, 8.99645045047576e-9, 0.025604847477471812, 0.00011181871880928334, 0.006419304610604457, 0.000010857499223050409, 0.11241443081271556, 0.0005336663225358327, 0.00010577107861919792, 0.022645453907835653, 0.000005343991318971895, 2.8750802808964886e-7, 0.0003056398264313161, 0.011941291230819282, 0.129437138517715, 0.00002431535942294025, 0.08779154031886874, 0.048586272854595464, 0.001285402840260031, 0.037542042623595374, 0.00689473159452872, 0.000001245583124326829, 0.0016568054587104137, 0.005443922275434386 ]
[ 2039, 1996, 2717, 1997, 1996, 3224, 1012, 1996, 2181, 2001, 9613, 2011, 1037, 2312, 2193, 1997, 4111, 2427, 1010, 2116, 1997, 2029, 2031, 9955, 2011, 1996, 2203, 1997, 1996, 3983, 2301, 1012, 1037, 14906, 1997, 2260, 1030, 1010, 1030, 2199, 2137, 22285, 13447, 2247, 1996, 2225, 3589, 26361, 2314, 1999, 19916, 1012, 7222, 3636, 2001, 2188, 2000, 2312, 12630, 2107, 2004, 8588, 1010, 22636, 1010, 22162, 2015, 1010, 12915, 1010, 8731, 2015, 1010, 3960, 19588, 1998, 24623, 1025, 2035, 2024, 7246, 8548, 3272, 2005, 1996, 2197, 2093, 2004, 1997, 2289, 1012, 1996, 2181, 2018, 28822, 1997, 18995, 1998, 8448, 1010, 1998, 2312, 3616, 1997, 2304, 6468, 1010, 2314, 22279, 2015, 1010, 1998, 13570, 2015, 1012, 1999, 13199, 1010, 2048, 1997, 1996, 5700, 2317, 19264, 2000, 3604, 2039, 7222, 3636, 2179, 2061, 2116, 23114, 2015, 2532, 9681, 2006, 2049, 5085, 2008, 2027, 2018, 2000, 3637, 1999, 2037, 14347, 1012, 2582, 13909, 1010, 9728, 3140, 2068, 2000, 2079, 1996, 2168, 1012, 102, 101, 1996, 6261, 6138, 12981, 1996, 2455, 1998, 9199, 1012, 1996, 24974, 1998, 3216, 13230, 2062, 18030, 2095, 1030, 1011, 1030, 2461, 1010, 2144, 4693, 1997, 14830, 7554, 3043, 1999, 1996, 3224, 5800, 3303, 4030, 2566, 26289, 3508, 1997, 10101, 2046, 2068, 1012, 7222, 3636, 2001, 2188, 2000, 2312, 3616, 1997, 3869, 1010, 2164, 13452, 1010, 2021, 17278, 13248, 2006, 1996, 26361, 2314, 2031, 5892, 1996, 21146, 2094, 1010, 11840, 1010, 1998, 29317, 2320, 2179, 2182, 2011, 10851, 2037, 9230, 2015, 1012, 6552, 2005, 2455, 4176, 2001, 3908, 2011, 1996, 3154, 12690, 3436, 1997, 6138, 1010, 2021, 2045, 2001, 2036, 1037, 2307, 3066, 1997, 5933, 1010, 2007, 8945, 16671, 3111, 3825, 2005, 2312, 12630, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2110, 3019, 2181, 1998, 6870, 1027, 1027, 1027, 102, 101, 102, 101, 2096, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1998, 3033, 1997, 1996, 4193, 14841, 18170, 2110, 3224, 2024, 2085, 1996, 7222, 3636, 14980, 2120, 3019, 8637, 1010, 2009, 2003, 2037, 3570, 2004, 2112, 1997, 1037, 3552, 2110, 3019, 2181, 2008, 3640, 1996, 10473, 3860, 2005, 2068, 1012, 2306, 2023, 3019, 2181, 1010, 15899, 1010, 5471, 1010, 1998, 15827, 2005, 3514, 1998, 3806, 2024, 10890, 1012, 7297, 1010, 2069, 3329, 4446, 3229, 2003, 3039, 1012, 1999, 2997, 1996, 3552, 2533, 1997, 4483, 4219, 1010, 14988, 2000, 1996, 5887, 16118, 1010, 2649, 2009, 2004, 102, 101, 2055, 5345, 1003, 2110, 3079, 1010, 4895, 3217, 9648, 2094, 1010, 1998, 4351, 1996, 7222, 3636, 14980, 3019, 2181, 1012, 2009, 2003, 1037, 2173, 1997, 4310, 22125, 2381, 1998, 3397, 2070, 4678, 3269, 4279, 1010, 2019, 2214, 3930, 19610, 7878, 3233, 1010, 1012, 1012, 1012, 3161, 13852, 6755, 9089, 1031, 1055, 1033, 1012, 1012, 1012, 1998, 2003, 1037, 2350, 2609, 1997, 2314, 22279, 27788, 13181, 16256, 1012, 28912, 3343, 2003, 3860, 1997, 1996, 3019, 5300, 1997, 1996, 8399, 2013, 2458, 1998, 2058, 8557, 1010, 1998, 6418, 1997, 1996, 2181, 2000, 2004, 2379, 1037, 3019, 4650, 2004, 2825, 1012, 102, 101, 1996, 14980, 2038, 2058, 14993, 2427, 1997, 3748, 14156, 2015, 1010, 4264, 1998, 3628, 1010, 2007, 7932, 4832, 1997, 2214, 3930, 3224, 2006, 2070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00003801461721543015, 0.000006917787497306298, 0.0003753179764468983, 0.039225026760028585, 0.000005862707801253468, 0.017411793093288393, 0.00008125994075383585, 0.0021703905879161363, 0.08276339542483646, 0.006463118031893061, 0.000022858299019968122, 0.02675787304293212, 0.1051021045105018, 0.0039052503461171743, 0.04682397762511737, 0.0011503437671010967, 0.000037319022827971196, 0.00000323281736473396, 0.08188728770951169, 0.039040334566281476, 0.0019468471278656732, 0.03301403530715367, 0.012454333912632799, 0.0054304111622124115, 0.004274667007143022, 8.862580810120636e-9, 0.00019011649051166364, 0.023816226146398344, 0.026690717440325164, 0.021400431267352468, 0.00010989888468980198, 0.07330534414115365, 0.0004649422471422781, 0.000023910524170803303, 0.000022644929701248836, 0.00035288588979089824, 0.051630196258896394, 0.028180726806559503, 0.06165557573586597, 0.02703090473821639, 0.00003910349264667045, 0.000019394159126622504, 0.006818611917673817, 0.04631628648734985, 0.004038218864917631, 0.0033828417149336385, 0.00011818922939660726, 0.03692978995685681, 0.029734090641958894, 0.047336970020323804 ]
[ 1997, 2049, 9561, 4355, 3681, 1012, 1996, 2717, 1997, 1996, 14980, 2003, 3139, 2007, 20319, 2117, 3930, 3224, 2008, 2064, 2022, 2058, 2028, 3634, 2086, 2214, 1012, 2144, 3154, 12690, 3436, 1010, 3053, 3938, 3867, 1997, 1996, 3224, 2455, 2038, 11060, 2012, 2560, 2320, 1012, 5171, 2148, 1030, 1011, 1030, 5307, 10314, 2182, 2031, 3137, 11893, 2917, 6116, 1998, 28158, 3628, 1010, 2096, 2167, 1030, 1011, 1030, 5307, 10314, 7166, 2000, 2031, 25715, 2917, 19610, 7878, 2015, 1998, 23165, 2015, 1012, 2312, 15655, 2015, 1998, 2304, 9115, 2064, 2036, 2022, 2179, 1012, 102, 101, 1996, 2882, 8399, 1997, 3552, 2003, 2124, 2005, 2049, 2991, 19624, 1010, 1998, 21000, 2391, 2110, 2380, 2003, 1037, 2759, 2173, 2000, 11949, 1996, 6087, 1010, 2007, 1996, 2034, 2093, 3134, 1997, 2255, 2004, 1996, 2190, 2051, 2000, 2156, 1996, 3727, 1999, 2037, 2440, 3609, 1012, 2417, 3727, 2024, 2179, 2006, 2417, 11035, 1010, 2304, 9115, 1010, 1998, 2417, 6116, 1010, 2096, 4589, 1998, 3756, 3727, 2024, 2006, 2304, 18489, 1010, 5699, 11035, 1010, 10722, 15000, 3769, 8017, 1010, 15655, 6116, 1010, 18567, 1998, 16421, 1010, 1998, 2829, 3727, 2024, 2013, 21760, 1010, 2317, 6116, 1010, 1998, 2789, 2304, 6116, 3628, 1012, 2750, 1996, 15899, 1010, 2045, 2024, 2070, 2214, 1030, 1011, 1030, 3930, 23165, 2015, 1998, 19610, 7878, 2015, 2006, 2176, 4328, 2571, 2448, 1012, 4264, 1997, 1000, 2569, 5142, 1000, 1999, 3552, 2008, 2024, 2179, 1999, 1996, 14980, 2421, 6213, 1005, 1055, 10535, 1010, 3748, 26034, 1010, 1998, 19610, 7878, 11968, 8002, 1012, 102, 101, 2045, 2024, 2058, 2871, 2427, 1997, 11993, 1999, 1996, 7222, 3636, 14980, 1012, 21000, 2391, 2110, 2380, 1005, 1055, 4866, 3224, 3104, 3084, 2009, 1037, 6552, 2005, 1000, 2502, 5249, 1000, 6870, 1010, 2164, 2317, 1030, 1011, 1030, 14578, 8448, 1010, 2304, 4562, 1010, 3748, 4977, 1010, 2417, 1998, 3897, 29384, 1012, 2625, 2691, 7329, 2421, 3960, 19588, 1010, 20457, 1010, 8731, 2015, 1010, 2314, 22279, 2015, 1010, 1998, 7227, 23114, 2015, 2532, 9681, 1012, 2045, 2024, 2058, 2656, 2427, 1997, 3869, 1999, 7222, 3636, 1010, 2164, 13452, 1010, 26476, 2015, 1010, 2991, 7529, 1010, 1998, 2600, 3321, 1012, 2060, 13582, 2427, 2421, 13675, 4710, 7529, 1998, 17582, 1012, 102, 101, 2195, 2427, 2031, 2042, 28263, 2000, 1996, 14980, 1012, 2317, 1030, 1011, 1030, 14578, 8448, 2020, 10964, 2013, 4174, 1998, 2207, 2802, 3552, 2000, 22131, 2696, 16558, 4509, 2054, 2018, 2320, 2042, 1037, 20319, 2313, 1012, 1996, 2783, 2313, 1997, 8448, 1999, 3552, 2024, 9287, 2013, 1996, 2434, 4518, 3107, 2144, 5518, 1010, 2044, 1996, 13891, 3549, 2018, 2333, 2041, 1997, 1996, 2181, 1012, 1996, 8448, 2313, 2038, 4961, 2061, 2172, 2008, 2651, 2027, 13467, 2037, 4755, 3977, 1999, 2116, 2752, 1012, 2314, 22279, 2015, 2020, 5147, 28263, 1999, 3172, 1998, 2085, 8843, 1999, 1996, 14980, 1012, 2750, 1996, 22279, 2015, 1005, 8738, 1997, 1019, 3867, 13452, 1010, 2070, 6466, 2869, 3571, 1996, 4176, 2052, 2139, 10814, 2618, 1996, 2208, 3869, 1999, 1996, 14980, 1012, 102, 101, 8731, 2015, 1010, 5396, 1030, 1011, 1030, 7451, 29268, 2015, 1010, 2020, 28263, 2000, 7222, 3636, 14980, 2004, 2112, 1997, 2019, 3947, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00006530722112064358, 0.0005816863438974049, 0.012430981809518082, 0.004155596135676166, 0.008778961030117438, 0.037552525891197806, 0.00004645161463341744, 0.0032112630749474087, 0.02874614946686452, 8.521694743521367e-9, 0.05058024987822108, 0.0038870007242945074, 0.0004303388505652227, 0.05918086166267068, 0.00028860327875999487, 0.0006877242981098928, 0.0000790082299562871, 0.00019100524390694228, 0.00014854353679455063, 0.0017821299299671245, 8.521694743521367e-9, 0.0398172991760571, 0.000003903837734550798, 0.0036385245346470113, 0.000008891533519782959, 0.00012166930445937217, 0.0002039701055679017, 0.11480934149363974, 0.0437075055681136, 0.0014154713590649659, 0.00003556980464179428, 0.05356570311793257, 0.0029587592595782426, 0.00010062490358711876, 0.0000039700909431764854, 0.00010542080718342752, 0.0442296017756996, 0.020701228218991497, 0.10586173870969252, 0.0007660160314041453, 0.009511239306805709, 0.0028062418667306565, 0.0000022577036243242015, 0.0001277975809475067, 0.09925181345415166, 0.0002734995513175892, 0.00034655252077704543, 0.10540183764433442, 0.08261488916735968, 0.054784256306884764 ]
[ 5323, 1037, 7965, 2313, 1997, 8731, 2015, 1999, 3552, 1012, 3188, 2000, 1996, 13891, 3690, 1010, 8731, 2015, 2020, 3365, 2802, 1996, 6138, 1997, 3552, 1012, 2027, 2024, 18960, 12630, 1998, 2097, 5690, 2151, 3760, 7329, 1999, 2037, 3700, 1010, 2164, 18499, 15569, 10586, 1012, 18995, 2031, 2042, 28263, 2225, 1997, 1996, 14980, 1999, 7207, 2221, 1998, 5681, 17677, 2379, 1996, 2225, 11418, 1997, 1996, 8399, 1012, 26880, 2031, 2272, 2067, 2006, 2037, 2219, 1012, 17503, 14211, 2427, 1999, 1996, 14980, 2421, 16006, 5820, 9673, 1010, 2029, 4521, 2035, 1996, 3727, 2125, 3628, 1010, 2926, 13396, 1010, 1998, 19610, 7878, 12121, 2135, 4748, 2884, 5856, 5104, 1010, 2029, 23021, 1998, 3102, 19610, 7878, 2015, 1012, 17503, 3269, 2427, 2421, 6379, 6065, 3367, 3089, 7959, 1998, 2887, 12226, 18041, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2590, 4743, 2181, 1027, 1027, 1027, 102, 101, 102, 101, 21000, 2391, 2110, 2380, 2003, 2112, 1997, 2590, 4743, 2181, 1001, 2654, 1010, 2029, 13974, 2861, 1030, 1010, 1030, 6535, 2692, 4631, 1006, 2260, 1030, 1010, 1030, 6564, 2692, 5292, 1007, 1997, 2119, 7271, 1998, 2797, 2218, 2455, 1012, 2110, 3266, 7456, 4270, 6115, 2005, 6273, 3867, 1997, 1996, 2561, 2181, 1998, 2950, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1998, 1996, 4193, 14841, 18170, 2110, 3224, 4915, 1012, 1996, 3552, 8740, 8566, 11735, 2554, 2038, 4351, 2035, 4029, 2620, 4631, 1006, 17332, 5292, 1007, 1997, 21000, 2391, 2110, 2380, 2004, 2112, 1997, 1996, 21307, 2050, 1010, 2029, 2003, 2019, 2181, 4351, 2004, 1037, 16452, 2590, 6552, 2005, 1996, 5680, 1997, 4743, 7080, 1012, 102, 101, 2030, 3490, 2705, 16886, 1998, 4743, 3422, 2545, 2031, 2680, 1037, 2561, 1997, 11899, 2427, 1997, 5055, 1999, 1996, 21307, 2050, 1012, 2195, 5876, 9002, 2000, 1996, 2152, 2561, 1997, 4743, 2427, 5159, 1024, 2045, 2003, 1037, 2312, 2181, 1997, 3224, 1999, 1996, 21307, 2050, 1010, 2004, 2092, 2004, 2307, 6552, 8906, 1010, 2007, 27810, 4631, 1006, 16621, 5292, 1007, 1997, 2330, 2300, 2008, 2003, 2109, 2011, 2116, 1997, 1996, 5055, 1010, 2926, 13852, 8125, 1012, 1996, 3295, 1997, 1996, 21307, 2050, 2247, 1996, 7222, 3636, 14980, 2036, 16605, 2000, 1996, 7578, 4743, 7080, 1012, 102, 101, 1999, 2804, 2000, 13852, 8125, 1010, 2029, 2444, 1999, 1996, 21307, 2050, 2095, 2461, 1998, 2031, 5147, 2511, 1037, 8119, 2313, 2045, 1010, 1996, 21307, 2050, 2003, 2188, 2000, 5583, 2098, 2332, 7529, 2545, 1010, 11862, 9092, 17325, 2015, 1010, 2304, 1030, 1011, 1030, 3759, 2098, 2630, 2162, 16213, 2015, 1010, 2691, 21442, 5289, 8043, 2015, 1010, 2630, 1998, 2665, 22914, 2015, 1010, 24308, 27046, 4095, 2229, 1010, 1998, 3536, 14875, 1012, 2312, 3616, 1997, 9808, 28139, 7274, 2224, 1996, 14980, 2076, 3500, 1998, 2991, 9230, 6993, 1012, 1996, 19268, 2024, 9613, 2011, 3748, 4977, 2015, 1998, 3552, 1005, 1055, 2110, 4743, 1996, 21766, 15388, 24665, 15441, 1012, 25430, 28247, 2239, 1005, 1055, 27046, 4095, 15910, 1999, 1996, 21307, 2050, 1998, 1996, 2642, 5292, 27051, 15910, 1998, 2058, 10105, 7747, 1999, 7222, 3636, 14980, 1012, 102, 101, 1037, 3528, 1997, 2162, 16213, 2015, 2003, 2179, 1999, 21000, 2391, 2110, 2380, 1012, 1996, 3552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.031242453274933576, 0.08676897694551414, 0.00002529955247896802, 0.07255307012753236, 0.08852356305339801, 0.000035689964544281004, 0.003199241768993482, 0.019781443877558702, 0.00031439917228765364, 0.02131612817451194, 0.0000027952326112558893, 0.0000675535430435998, 0.00025411532653769875, 5.095992858361736e-7, 0.00012026634040785612, 0.023772275098784476, 0.0013612863865358586, 0.018131157408225074, 0.0073948560720387265, 0.016245008728892747, 0.024067865926109468, 7.750006490631296e-9, 0.010882715921353082, 0.011540023557542326, 0.022391781081469827, 0.001746420794555185, 0.013422208400080612, 0.00001959680550743587, 0.03325902102132113, 0.001738675777919749, 0.08898445293571919, 0.0015590204814336186, 0.06906089996610586, 0.000048253299771251266, 0.013111003217009594, 0.000028420272454031865, 0.05344741805454541, 0.0022470052340012813, 0.03291366460205097, 0.07826637056910074, 0.00847629633100562, 0.00048812261575464645, 0.0031423844182190868, 0.00003073704351033081, 0.020709743863938902, 0.08031897724388996, 7.750006490631296e-9, 0.000014460271668341225, 0.036684301327325426, 0.0002900538185076351 ]
[ 8740, 8566, 11735, 2554, 2163, 2008, 7222, 3636, 14980, 2003, 1000, 2926, 4138, 1999, 2162, 16213, 2427, 1010, 2164, 7222, 1010, 2304, 1030, 1011, 1030, 3759, 2098, 2630, 1010, 2304, 1030, 1011, 1030, 3759, 2098, 2665, 1010, 13934, 2937, 1010, 1998, 2304, 1030, 1011, 1030, 1998, 1030, 1011, 1030, 2317, 1012, 1000, 2116, 1997, 2122, 3760, 5055, 2024, 2062, 2411, 2657, 2084, 2464, 2004, 2027, 2562, 2185, 2013, 1996, 9612, 1998, 27590, 2015, 1012, 102, 101, 102, 101, 1027, 1027, 8640, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 9612, 1027, 1027, 1027, 102, 101, 102, 101, 21000, 2391, 2110, 2380, 2038, 2070, 10368, 21857, 2015, 1999, 1998, 2105, 1996, 2882, 8399, 1997, 3552, 1010, 2007, 1018, 1030, 1012, 1030, 1014, 2661, 1006, 1020, 1030, 1012, 1030, 1018, 2463, 1007, 1997, 9612, 2008, 3444, 2200, 17638, 9291, 1010, 3413, 2485, 2000, 9561, 13333, 1010, 1998, 2064, 2022, 2200, 13554, 1999, 2070, 2752, 1012, 3099, 2728, 1052, 1012, 9036, 2165, 1037, 13039, 2778, 1997, 1996, 2380, 1999, 2251, 2901, 1010, 1998, 1999, 2494, 1996, 5887, 16118, 2988, 2008, 2324, 1030, 1010, 1030, 23688, 2111, 2109, 1996, 9612, 1999, 1996, 2380, 1012, 102, 101, 11418, 4446, 2003, 1037, 4659, 4257, 1015, 1030, 1011, 1030, 3542, 1006, 1015, 1030, 1012, 1030, 1020, 2463, 1007, 7077, 4446, 1010, 2029, 4076, 1996, 13443, 1997, 21000, 2391, 1998, 6971, 2035, 1997, 1996, 8399, 10523, 2752, 1012, 102, 101, 4977, 4130, 2003, 1037, 3697, 4446, 1010, 1017, 2661, 1006, 1019, 2463, 1007, 2146, 1006, 2091, 1998, 2067, 2306, 1996, 2380, 1007, 1010, 2008, 4076, 2176, 3542, 2448, 2091, 1996, 2217, 1997, 1996, 8399, 1010, 15127, 2058, 5385, 2519, 1006, 11212, 1049, 1007, 2000, 7222, 3636, 1998, 1996, 4334, 4446, 2012, 1996, 3953, 1997, 1996, 14980, 1012, 2009, 2001, 2761, 1037, 20568, 8011, 2109, 2000, 14655, 7227, 2000, 1996, 3636, 1012, 2045, 2003, 1037, 3963, 1030, 1011, 1030, 3329, 1030, 1011, 1030, 4206, 1006, 2538, 1049, 1007, 25222, 3540, 4667, 14297, 2055, 1014, 1030, 1012, 1030, 1019, 2661, 1006, 1014, 1030, 1012, 1030, 3770, 2463, 1007, 2091, 1996, 4446, 1012, 1996, 2380, 4037, 2465, 14144, 2009, 2004, 1037, 1000, 2091, 1998, 2067, 4446, 1000, 2144, 2045, 2003, 2053, 2958, 2408, 7222, 3636, 1012, 1996, 4977, 4130, 4247, 1999, 7723, 6676, 2110, 2380, 1010, 2183, 2013, 1037, 2391, 2006, 7222, 3636, 2074, 13248, 1997, 1996, 2203, 1997, 1996, 4446, 1999, 21000, 2391, 2039, 2000, 1996, 6688, 2319, 4103, 6676, 27590, 2006, 1996, 2264, 11418, 1997, 1996, 14980, 1012, 2429, 2000, 13547, 6582, 1010, 1996, 3636, 2064, 2022, 4811, 2098, 2007, 2729, 2043, 1996, 2300, 2003, 2659, 1010, 1998, 1996, 4977, 4130, 8539, 1996, 2048, 6328, 1012, 102, 101, 7222, 3636, 4334, 4446, 2003, 1037, 5786, 1030, 1011, 1030, 3542, 1030, 1011, 1030, 2146, 1006, 2531, 2463, 1007, 4334, 4446, 2013, 7051, 12691, 5098, 1010, 2074, 2167, 1997, 7051, 12691, 1010, 2148, 2083, 1996, 7222, 3636, 14980, 2000, 3933, 5370, 1024, 1015, 3542, 1006, 1015, 1030, 1012, 1030, 1020, 2463, 1007, 1997, 2023, 4446, 2003, 1999, 21000, 2391, 1998, 7723, 6676, 2110, 6328, 1012, 1037, 2541, 3720, 1999, 3915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0012545110925858847, 0.015004442009858314, 0.12357023613973328, 0.00042993567365361715, 0.0004212475379902342, 0.017550665116055852, 0.0015942550600667783, 0.00002250989636147977, 0.005627692352941813, 0.0009112315612413071, 0.000022071269376960116, 0.02038293280526058, 0.009371109952324368, 0.05643273895799872, 0.000019868317252721737, 0.00820694814211482, 0.0012182481492177192, 0.11765182410810168, 0.02045601583953849, 0.000009984282788608603, 1.1441084706360113e-8, 1.1441084706360113e-8, 0.0011214537694356453, 0.00006892210381132449, 0.00700506153164588, 0.0019468461014084085, 0.06341302749003955, 0.001366491074041572, 0.0006728967151911527, 0.006926801971448232, 0.01888016861452276, 0.0010144797924715122, 0.000014497024573907611, 0.07189512933469454, 0.0009645355864036671, 0.03217322606858844, 0.036620200302732164, 0.06905639690089518, 0.006369117878701321, 0.010848805674424016, 0.00012373335942551174, 0.021625570392256616, 0.000015211457986073538, 1.1441084706360113e-8, 0.09571085374806655, 0.05546878873211108, 0.06706531287420812, 0.0025864733264725826, 0.00001908277664053722, 0.02686841281008639 ]
[ 2651, 2056, 1996, 12916, 5053, 1997, 1996, 2882, 8399, 1997, 3552, 2081, 1996, 4446, 2028, 1997, 1000, 2184, 2307, 3182, 2000, 2202, 1037, 7997, 2778, 1000, 1999, 1996, 2088, 1012, 102, 101, 2225, 11418, 4446, 2003, 1037, 2382, 1030, 1012, 1030, 1019, 1030, 1011, 1030, 3542, 1030, 1011, 1030, 2146, 1006, 4749, 1030, 1012, 1030, 1015, 2463, 1007, 13039, 4446, 2008, 3216, 2247, 1996, 2225, 11418, 1997, 1996, 7222, 3636, 14980, 2013, 2379, 1996, 2352, 1997, 25435, 2401, 1999, 1996, 2167, 2000, 23114, 2015, 2532, 3489, 2600, 2379, 1996, 2352, 1997, 18776, 1999, 1996, 2148, 1012, 2009, 2003, 3262, 2006, 14841, 18170, 2110, 3224, 2455, 1010, 2021, 5235, 2083, 1996, 6034, 2167, 1997, 1996, 2380, 1998, 2059, 3596, 1996, 2530, 3675, 1997, 1996, 2380, 1999, 1996, 2148, 1012, 2043, 1996, 2225, 11418, 4446, 2441, 1999, 3196, 1010, 2009, 2001, 2538, 2661, 1006, 4090, 2463, 1007, 2146, 1998, 3092, 2074, 2148, 1997, 1996, 2380, 1010, 2021, 2009, 2001, 3668, 1023, 2661, 1006, 2403, 2463, 1007, 2167, 1999, 3106, 1010, 4458, 2083, 21000, 2391, 1012, 2009, 2001, 4217, 2011, 2648, 2932, 2004, 2049, 1000, 2190, 21857, 1999, 3552, 1000, 1999, 2258, 2727, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 13215, 1998, 12695, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 13215, 2003, 1037, 2759, 2627, 14428, 2012, 21000, 2391, 2110, 2380, 1025, 1015, 1030, 1010, 1030, 5818, 2683, 5381, 2031, 2109, 1996, 13215, 4128, 1999, 2494, 1012, 2007, 2053, 2715, 19870, 2066, 13862, 21674, 2030, 23442, 1010, 1996, 7958, 7616, 2202, 2006, 1037, 27471, 3267, 1012, 2045, 2024, 2041, 15666, 1010, 2543, 7635, 1010, 1037, 25480, 15653, 2276, 1998, 12695, 7251, 2012, 1996, 29144, 1012, 2019, 4114, 2177, 9311, 2075, 2181, 1010, 3832, 2005, 4114, 3360, 2030, 4639, 2967, 1010, 2064, 8752, 2039, 2000, 3938, 3409, 2545, 1012, 1015, 1030, 1010, 1030, 22288, 3409, 2545, 2109, 1996, 2181, 1999, 2494, 1012, 1996, 2380, 2036, 2038, 3155, 2531, 12695, 7251, 1998, 2274, 10507, 2278, 1030, 1011, 1030, 2328, 12695, 17177, 2029, 2064, 2022, 9235, 1012, 2122, 4128, 2020, 2109, 2011, 2321, 1030, 1010, 1030, 4261, 2683, 12695, 11451, 1999, 2494, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5933, 1010, 5645, 1010, 1998, 2317, 5880, 1027, 1027, 1027, 102, 101, 102, 101, 5933, 2003, 7936, 1999, 2531, 4631, 1006, 2871, 5292, 1007, 1997, 21000, 2391, 2110, 2380, 1010, 1998, 2003, 12222, 2011, 1996, 3552, 2208, 3222, 1012, 1996, 2691, 2208, 2427, 2024, 21766, 15388, 24665, 15441, 1010, 2789, 3897, 29384, 1010, 3748, 4977, 1010, 2317, 1030, 1011, 1030, 14578, 8448, 1010, 1998, 2304, 6468, 1012, 1996, 5933, 1997, 2598, 25852, 2015, 2003, 10890, 1012, 2062, 4631, 1997, 15205, 19268, 2024, 2800, 2005, 5933, 2006, 1996, 5286, 1997, 1996, 5516, 14841, 18170, 2110, 3224, 1012, 102, 101, 5645, 2003, 7936, 2012, 21000, 2391, 2110, 2380, 1012, 6466, 2869, 2442, 18855, 1996, 4977, 4130, 2000, 3362, 7222, 3636, 1012, 1996, 2427, 1997, 3869, 2179, 1999, 7222, 3636, 2024, 13452, 1010, 2235, 14359, 3321, 1010, 1998, 2070, 6090, 7529, 1012, 2045, 2024, 2195, 2235, 13452, 9199, 2008, 2024, 7801, 2013, 2306, 1996, 2380, 1012, 7145, 1010, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.014246957487062383, 0.00992137163059074, 0.013412267737142073, 0.015172143489629301, 0.03486850613862473, 0.028850142598955308, 0.00014665217869446135, 0.0000062059720063360085, 0.06907752473799712, 0.006695851981789827, 0.0005435149689636743, 0.025308211321488156, 0.003408083180797134, 0.05105576186472354, 9.757887300305927e-9, 0.010023049001356183, 0.0014224729236813254, 0.000122438670682821, 0.00022478463951738735, 0.007520230029534947, 0.0031986708200748186, 0.002076160104533094, 0.031230771889586246, 0.04561360718947753, 0.010879623256871335, 0.010503566003599292, 0.00009669580601003308, 0.011017337327563402, 0.07892114825187574, 0.02586001099259565, 0.16991964925383268, 0.046890047904544485, 0.024515149402785374, 0.0024404662063183306, 0.007514904129733948, 0.00003872157720688984, 0.030452380887798145, 0.0016993675862780467, 0.011840455895254983, 0.004730302143353694, 0.0000129574761633619, 0.05226739338873851, 0.0015178386811454097, 0.003043748723706275, 0.0003916350145460911, 0.0009648916194528207, 0.000022135485510018196, 0.0064384226578294975, 0.12377100700551046, 0.00010475300697909058 ]
[ 7683, 1997, 7222, 3636, 1999, 1996, 2380, 2038, 2042, 26281, 2011, 3862, 6466, 2869, 1010, 2164, 2343, 10117, 8573, 1998, 3552, 3099, 2520, 1037, 1012, 2962, 1012, 102, 101, 3487, 16216, 5339, 3917, 7009, 1999, 22271, 14347, 2075, 2008, 7222, 3636, 1000, 2003, 4298, 3552, 1005, 1055, 2087, 3297, 14347, 5460, 1000, 1998, 12332, 2023, 6576, 2000, 1996, 5190, 2040, 5630, 2000, 4049, 2006, 2009, 2044, 2027, 1000, 8152, 2046, 7222, 3636, 1005, 1055, 12656, 22159, 2013, 1996, 27590, 2015, 1997, 7723, 6676, 1998, 21000, 2391, 2110, 6328, 1000, 1012, 1996, 2380, 3397, 1015, 3542, 1006, 1015, 1030, 1012, 1030, 1020, 2463, 1007, 1997, 7222, 3636, 1010, 2029, 2003, 6219, 2004, 2465, 1015, 2000, 2465, 1016, 2317, 5880, 1012, 4049, 2545, 2079, 2025, 5373, 2707, 2030, 2203, 2037, 2448, 1999, 1996, 2380, 1024, 2009, 2003, 2112, 1997, 1996, 2385, 1030, 1012, 1030, 1022, 1030, 1011, 1030, 3542, 1006, 2676, 1030, 1012, 1030, 1014, 2463, 1007, 4440, 2013, 25435, 2401, 1006, 9409, 3636, 1007, 2148, 2000, 18776, 1006, 8670, 10322, 3636, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 3518, 2110, 6328, 1027, 1027, 102, 101, 102, 101, 21000, 2391, 2110, 2380, 2003, 1999, 2911, 11837, 3545, 1010, 1998, 2003, 1019, 2661, 1006, 1022, 2463, 1007, 2148, 1997, 1057, 1012, 1055, 1012, 2799, 1020, 1998, 1996, 2352, 1997, 25435, 2401, 2006, 21000, 2346, 1012, 1996, 2206, 2110, 6328, 2024, 2306, 2382, 2661, 1006, 2753, 2463, 1007, 1997, 21000, 2391, 2110, 2380, 1024, 102, 101, 102, 101, 102, 101, 1027, 2655, 1996, 7171, 1027, 102, 101, 102, 101, 1000, 2655, 1996, 7171, 1000, 2003, 1037, 2299, 2011, 2329, 2611, 2177, 3057, 12575, 2013, 2037, 2959, 2996, 2201, 1010, 14170, 2039, 1006, 2289, 1007, 1012, 1996, 2299, 2001, 2517, 2011, 9392, 6201, 1010, 2007, 7780, 2013, 2019, 3720, 2055, 1996, 5083, 1997, 2308, 1999, 2449, 1010, 1998, 4422, 13466, 1010, 5199, 8997, 1010, 7059, 11190, 2989, 1010, 1998, 21025, 19358, 27209, 2036, 2363, 14029, 6495, 1012, 26572, 7983, 2636, 2761, 3832, 2000, 2713, 2009, 2004, 1037, 2309, 2005, 1996, 2614, 1997, 3057, 12575, 1024, 1996, 4602, 4978, 1006, 2294, 1007, 1025, 2174, 1010, 1000, 2242, 17704, 1051, 9541, 11631, 1000, 2001, 3479, 2612, 1012, 1999, 2244, 2289, 1010, 1000, 2655, 1996, 7171, 1000, 15748, 3784, 1010, 1998, 2006, 2656, 2281, 1997, 1996, 2168, 2095, 1010, 2009, 2001, 2207, 2004, 1996, 2117, 2309, 2013, 14170, 2039, 2083, 18987, 2636, 1010, 1037, 2733, 2044, 1996, 2201, 1005, 1055, 2713, 1012, 102, 101, 2550, 2011, 1060, 16515, 27010, 1010, 1996, 3153, 1030, 1011, 1030, 3769, 1998, 3769, 2600, 2299, 27397, 1037, 2062, 9677, 2217, 2013, 3057, 12575, 1010, 1998, 2363, 3893, 4391, 2013, 2189, 4401, 1010, 2007, 2028, 9266, 6562, 2009, 2004, 1996, 1000, 4602, 3769, 2299, 1997, 1996, 7398, 2301, 1000, 1012, 1999, 2263, 1010, 1996, 2299, 2180, 1996, 2400, 2005, 1996, 3769, 29427, 6610, 1069, 2322, 2189, 3396, 1010, 2019, 3296, 3396, 3018, 2011, 1037, 5997, 1997, 6794, 7362, 2011, 2189, 4037, 3769, 29427, 6610, 2000, 1996, 3220, 1006, 1055, 1007, 1997, 1996, 2190, 2329, 3769, 2309, 1997, 1996, 2627, 2095, 1012, 1000, 2655, 1996, 7171 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 6.739105865717987e-7, 0.11295526599769942, 1.0514849069857615e-8, 0.04564299544353257, 0.000014913382512789671, 0.1088191332690701, 0.00008769226981130892, 0.0004078443539858142, 0.0016362940675771626, 0.022529070289300793, 0.0015800780206434303, 0.000058470129533135304, 0.0001198920015919085, 0.006731932402157604, 0.05597793074347929, 0.03115105862899668, 0.006907920418248673, 0.07149300843234144, 0.0037246561553518276, 0.011036443786797195, 0.060559697306512665, 0.000048742754144319084, 1.0514849069857615e-8, 0.00980980353670601, 0.04077306035299766, 0.025884068277145175, 0.002623401229285619, 0.00001613650380294062, 0.0009484836653568823, 0.00028808090227915896, 0.000022637726206181355, 0.00014114473769312347, 0.00001353367621778442, 0.00004235596269930067, 0.000024745247036498267, 0.004383191194270895, 0.046212519920136114, 0.0782514809796086, 0.004929830680902617, 3.448625434426278e-7, 0.03352711848238078, 0.006879836566512814, 0.0037810762227194357, 0.00005585654683956781, 0.00146697579350835, 0.0002842351469435843, 0.00012435156553942177, 0.00014784609642694722, 0.08525368941659062, 0.11263045991407766 ]
[ 1000, 4928, 2000, 2022, 11088, 3144, 2588, 2049, 2713, 1010, 17918, 2012, 2193, 2093, 2006, 1996, 2866, 3895, 3673, 1010, 5719, 1996, 2316, 1005, 1055, 5164, 1997, 4978, 2011, 3352, 2037, 14683, 5486, 2309, 2000, 3673, 2306, 1996, 2327, 2702, 1010, 1998, 2108, 2101, 7378, 3165, 2011, 1996, 2329, 6887, 17175, 14773, 3068, 1012, 1996, 2299, 2036, 6601, 2012, 2193, 3157, 2006, 1996, 3493, 3895, 3673, 1012, 102, 101, 1996, 10860, 2189, 2678, 2001, 2856, 2011, 5977, 2139, 8622, 16656, 1010, 1998, 2838, 1996, 3057, 1999, 6379, 14464, 4488, 2006, 29047, 3509, 2012, 2305, 2007, 7311, 1998, 2317, 8313, 4193, 2068, 1012, 2169, 2266, 1997, 1996, 2316, 2003, 2036, 3491, 2060, 5269, 1010, 2206, 2195, 2466, 3210, 1012, 1000, 2655, 1996, 7171, 1000, 2001, 3755, 2083, 3365, 2444, 3922, 1010, 2164, 1037, 2152, 1030, 1011, 1030, 6337, 2836, 2006, 1996, 1060, 5387, 1010, 1998, 2038, 2144, 2042, 2864, 2006, 2093, 1997, 3057, 12575, 1005, 1055, 4745, 4164, 7562, 1012, 2195, 3324, 1998, 4996, 2164, 3147, 13068, 1998, 2928, 6384, 2015, 2031, 3139, 1996, 2299, 1012, 102, 101, 102, 101, 1027, 1027, 4281, 1998, 2713, 1027, 1027, 102, 101, 102, 101, 1996, 2034, 2112, 1997, 1000, 2655, 1996, 7171, 1000, 2000, 2022, 3605, 2001, 1996, 16015, 1010, 2029, 2001, 2589, 2011, 1060, 16515, 27010, 1999, 2384, 1012, 1996, 4581, 1997, 1996, 2299, 2020, 2517, 1999, 2294, 1010, 2043, 6009, 9392, 6201, 2001, 1000, 4427, 2011, 2019, 3720, 2016, 3191, 2006, 2242, 2170, 1006, 27542, 1007, 1996, 9392, 3375, 1010, 2315, 2044, 1996, 12479, 5160, 1999, 3348, 1998, 1996, 2103, 1010, 2055, 2129, 2308, 2024, 7414, 2062, 2084, 2273, 1998, 6183, 3805, 1012, 1000, 26572, 7983, 2636, 2761, 3832, 2000, 2713, 2009, 2004, 1037, 2309, 2005, 1996, 2614, 1997, 3057, 12575, 1024, 1996, 4602, 4978, 1006, 2294, 1007, 1996, 2168, 2095, 1010, 2021, 2001, 8357, 1000, 2205, 2091, 19442, 1010, 2043, 1037, 4602, 4978, 2309, 3791, 2000, 2022, 1037, 7401, 1012, 1000, 17388, 7031, 1010, 19431, 5624, 1010, 4532, 15456, 1998, 25004, 11019, 2680, 2955, 2005, 1996, 2299, 1999, 2414, 1010, 2563, 1010, 2096, 23233, 3170, 2522, 12844, 2680, 2014, 2955, 1999, 3050, 3349, 1012, 5624, 8357, 1996, 2299, 2014, 8837, 2013, 14170, 2039, 1010, 5815, 2008, 2009, 2435, 2014, 1000, 13020, 8569, 25370, 1000, 1012, 2019, 2220, 2544, 1997, 1000, 2655, 1996, 7171, 1000, 15748, 3784, 1999, 2244, 2289, 1012, 2006, 2385, 2281, 2289, 1010, 14170, 2039, 2001, 2207, 1010, 2007, 1000, 2655, 1996, 7171, 1000, 2108, 2207, 2005, 3617, 8816, 2006, 2656, 2281, 2289, 1010, 2083, 26572, 7983, 2636, 1010, 2096, 2009, 2001, 2036, 2081, 2800, 2006, 2048, 2367, 3729, 2309, 11630, 1996, 2168, 2154, 1012, 1996, 2034, 5860, 2443, 1037, 2444, 3104, 2544, 1997, 6864, 4511, 4580, 1005, 1055, 2289, 2309, 1000, 24497, 1000, 1010, 2004, 2864, 2006, 1996, 4035, 2557, 1015, 4746, 8183, 2096, 2100, 1005, 1055, 2444, 11549, 1012, 1996, 2117, 3729, 4289, 2956, 2019, 2434, 5512, 4709, 1000, 6271, 2115, 3104, 1000, 1010, 2522, 1030, 1011, 1030, 2517, 2011, 3057, 12575, 2007, 1060, 16515, 27010, 1012, 1996, 4116, 20342, 16786, 6136, 1997, 1000, 2655, 1996, 7171, 1000, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.026146974323829102, 0.0003637918105709124, 0.00007594079695502162, 0.059362730199032286, 0.001313619817274166, 0.035455860968882556, 0.031007933875188395, 0.0003209646854563235, 1.0367394544159773e-8, 0.000013549339830047501, 0.04168570525392899, 1.0367394544159773e-8, 0.0001383031222085044, 0.019277750798816683, 4.1928500665853723e-7, 0.05793078819083023, 0.08379033577934471, 0.0001482449034987935, 0.0038955804996090933, 0.003116277845927866, 0.007542035052394615, 0.139607000315413, 0.015355483440334798, 0.027533890699257785, 0.0025444150685558454, 0.010294754512939031, 0.0003710432465184598, 0.0013057728113700456, 0.09759458623674375, 0.003037453089299571, 0.000577708251547023, 0.00014338419669878607, 0.0006364190965538286, 0.07919335297686496, 0.0051319763506863835, 0.01266578006846909, 0.00002943178820182283, 0.000011763448292682236, 0.00036862302449478516, 0.0002948656868291037, 0.00014825148347355567, 0.08078246274583728, 0.003555113205187495, 0.000092741012758041, 0.003813696859470334, 0.0009597690076410254, 0.0004688211132673899, 0.06546844823208968, 0.00983408144960877, 0.06659208329822158 ]
[ 2108, 2443, 2006, 1996, 3729, 2309, 2036, 2012, 2034, 1010, 2174, 1010, 1996, 1060, 16515, 27010, 2252, 4666, 2001, 3479, 2612, 1012, 1996, 4116, 20342, 16786, 6136, 2001, 2059, 2443, 2006, 1996, 3895, 3482, 2275, 1010, 2207, 1999, 2268, 1012, 102, 101, 102, 101, 1027, 1027, 5512, 1027, 1027, 102, 101, 102, 101, 1000, 2655, 1996, 7171, 1000, 2003, 1037, 3153, 1030, 1011, 1030, 3769, 1998, 3769, 2600, 2650, 2517, 1999, 1996, 3145, 1997, 1040, 2350, 1998, 2007, 1037, 8777, 13657, 1997, 14010, 10299, 2566, 3371, 1012, 4406, 3025, 3895, 2207, 2011, 1996, 2316, 1010, 1996, 2299, 4076, 1996, 7893, 1516, 7165, 2433, 1012, 1996, 4581, 2024, 4986, 2007, 1996, 4566, 1997, 1037, 3276, 1010, 1998, 7480, 2007, 1037, 23563, 8531, 2628, 2011, 2522, 12844, 4823, 1010, 1000, 10763, 4309, 2006, 1996, 3042, 1010, 1045, 1005, 2222, 2022, 4911, 2153, 1013, 2442, 2022, 2242, 2488, 11561, 1000, 1012, 2004, 1996, 7165, 4269, 1010, 1996, 2274, 2372, 1997, 1996, 2177, 3119, 3210, 1998, 6170, 1010, 1000, 2074, 1005, 3426, 2017, 1005, 2128, 6274, 1996, 6655, 1998, 2655, 1996, 7171, 2085, 2006, 2033, 1013, 2009, 2428, 2987, 1005, 1056, 6904, 4371, 2033, 2129, 2017, 5247, 2115, 2051, 1000, 1010, 2007, 13573, 9004, 14615, 2483, 1997, 1996, 6697, 5517, 2008, 1000, 2069, 14405, 10624, 24170, 29222, 2071, 13387, 1031, 2023, 2112, 1033, 2013, 2115, 4167, 1000, 1012, 2076, 1996, 2690, 1030, 1011, 1030, 2809, 1010, 7031, 10955, 4581, 2008, 2020, 1996, 7780, 2005, 3057, 12575, 1005, 1055, 10828, 5544, 2008, 27566, 1516, 2256, 2466, 1010, 2207, 1999, 2263, 1024, 1000, 1045, 1005, 2310, 2464, 2166, 6402, 4408, 1010, 2464, 2009, 11895, 15810, 1013, 2059, 12985, 2066, 2732, 7138, 2000, 1037, 1043, 17960, 5017, 1010, 2821, 2053, 1013, 1045, 1005, 2310, 2464, 2166, 4834, 2011, 2066, 1037, 2314, 1013, 2061, 2440, 1997, 13132, 1010, 5544, 2008, 27566, 1000, 1012, 4074, 10589, 1997, 3617, 8645, 2056, 2008, 1996, 16015, 1997, 1000, 2655, 1996, 7171, 1000, 2001, 2241, 2006, 4134, 3153, 5453, 1010, 1998, 2794, 2008, 2009, 5100, 1000, 1051, 11631, 2015, 1000, 1998, 1000, 6289, 6289, 6289, 2015, 1000, 2008, 1000, 7065, 2121, 5677, 3686, 2105, 2019, 16514, 7165, 1010, 1000, 2096, 2198, 6326, 1997, 10477, 2626, 2008, 1996, 2299, 22443, 1037, 2062, 9677, 2217, 2013, 3057, 12575, 1012, 102, 101, 102, 101, 1027, 1027, 7684, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 4187, 3433, 1027, 1027, 1027, 102, 101, 102, 101, 1000, 2655, 1996, 7171, 1000, 2363, 3893, 4391, 2013, 2189, 4401, 1012, 4074, 10589, 1997, 3617, 8645, 6758, 1996, 2299, 2176, 2041, 1997, 2274, 3340, 1010, 3015, 2008, 2009, 2003, 1000, 2062, 5510, 3993, 1000, 2084, 2261, 1997, 3057, 12575, 1005, 1055, 3025, 7085, 1012, 3679, 2732, 4988, 5035, 11026, 2056, 1000, 2655, 1996, 7171, 1000, 2003, 2028, 1997, 1996, 2316, 1005, 1055, 2190, 3895, 1010, 2096, 2178, 12027, 2005, 1996, 2168, 3780, 8357, 1996, 2299, 1000, 2465, 2100, 4816, 9944, 1030, 1011, 1030, 3769, 2007, 2613, 3341, 1012, 1000, 27557, 11338, 11231, 24228, 1997, 5032, 6249, 2056, 2008, 1996, 2299, 1000, 2038, 1037, 6919, 2135, 17093, 2514, 1010, 17142, 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, 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, 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 ]
[ 0.01357156541974926, 0.009061340581995578, 0.002818048857730174, 0.16055420553723, 0.000043535423986595896, 0.000029345295707528137, 0.04517070302265377, 0.0010729457894125727, 0.012621717678260204, 0.0002676772884796945, 0.05425922339386058, 0.10542514409153009, 0.00046439107481128583, 0.00009446602374315561, 0.007240963981327346, 0.049717250578439495, 0.049416370358043846, 0.001077592847301308, 0.001259513902474625, 0.005969318247713731, 0.0028432765087585666, 0.06369916303777357, 0.010415053433691899, 0.0004997304872971954, 0.0007026710691689394, 0.00010162945329136581, 0.0005115774923621927, 0.0635032235160809, 0.07804502616672954, 0.0003590259323528406, 0.00017253958846959595, 0.0050353430308286975, 0.00007125097247435527, 0.013192841619566478, 0.11328572719629024, 0.0019870461312418855, 0.0019777306540378807, 0.024360158505681264, 0.007712209689560735, 0.0009017520045673421, 0.00023785969566521135, 0.00451363489309358, 0.0288579866643667, 0.02111968360559169, 0.00007578335627121669, 0.0034984990299953603, 0.00010615222115708766, 0.00013912768171931325, 0.031203088023184673, 0.0007358889442788532 ]
[ 2396, 2100, 16175, 2316, 1000, 1010, 2096, 13573, 9004, 14615, 2483, 1997, 1996, 6697, 2626, 2008, 14170, 2039, 1000, 4269, 15640, 2135, 1000, 2007, 1000, 2655, 1996, 7171, 1000, 2004, 1996, 3098, 2650, 2138, 1996, 2299, 1005, 1055, 3252, 2003, 1000, 1037, 2978, 27550, 1000, 4102, 2000, 3057, 12575, 1005, 1055, 3025, 3895, 2107, 2004, 1000, 7366, 1000, 1006, 2384, 1007, 1012, 2006, 1996, 18144, 1997, 1996, 2327, 3895, 1997, 2289, 1010, 3617, 8645, 2872, 1000, 2655, 1996, 7171, 1000, 2012, 2193, 2459, 1010, 15591, 2008, 1996, 2316, 2018, 2025, 2439, 1000, 2037, 14161, 8684, 2005, 2437, 4259, 2135, 4608, 2100, 3769, 4978, 1012, 1000, 1999, 2263, 1010, 1996, 2299, 2180, 1996, 3769, 29427, 6610, 1069, 2322, 2189, 3396, 1516, 3057, 12575, 1005, 1055, 2959, 2663, 1012, 3769, 29427, 6610, 3213, 2848, 6157, 8357, 2009, 2004, 1996, 1000, 4602, 3769, 2299, 1997, 1996, 7398, 2301, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 3673, 2836, 1027, 1027, 1027, 102, 101, 102, 101, 2206, 1996, 11343, 1997, 1000, 2655, 1996, 7171, 1000, 2349, 2000, 1996, 2713, 1997, 14170, 2039, 1010, 1996, 2299, 3133, 1996, 2866, 3895, 3673, 2012, 2193, 3157, 1012, 1996, 2206, 2733, 1010, 1000, 2655, 1996, 7171, 1000, 3123, 2416, 3182, 2000, 4672, 2012, 2193, 2093, 1012, 2009, 3266, 2000, 2994, 2012, 2193, 2093, 1996, 2206, 2733, 1010, 2021, 5707, 2000, 2193, 2274, 1999, 2049, 2959, 2733, 1012, 2083, 1996, 4234, 2733, 3673, 1010, 1996, 2309, 3266, 2000, 2994, 1999, 1996, 2327, 2702, 1010, 4192, 2000, 2049, 2834, 2597, 1997, 2193, 3157, 1012, 1000, 2655, 1996, 7171, 1000, 2001, 7378, 3165, 2011, 1996, 2329, 6887, 17175, 14773, 3068, 1012, 2006, 1996, 3673, 3277, 1997, 2570, 2281, 2289, 1010, 1996, 2299, 6006, 2012, 2193, 4008, 1999, 3163, 1010, 4285, 1037, 2047, 4672, 2012, 2193, 1023, 1996, 2206, 2733, 1012, 2009, 12754, 1996, 2168, 4672, 2006, 1996, 2647, 2980, 2531, 3895, 3673, 1012, 102, 101, 102, 101, 1027, 1027, 2189, 2678, 1027, 1027, 102, 101, 102, 101, 1996, 10860, 2189, 2678, 2005, 1000, 2655, 1996, 7171, 1000, 2001, 2856, 2011, 5977, 2139, 8622, 16656, 1010, 1998, 6361, 1999, 2255, 2289, 1999, 29047, 1010, 2662, 1010, 2096, 3057, 12575, 2020, 7467, 1996, 25289, 1997, 3057, 12575, 1012, 1996, 2678, 2838, 1996, 3057, 1999, 6379, 14464, 4488, 2006, 29047, 3509, 2012, 2305, 2007, 7311, 1998, 2317, 8313, 4193, 2068, 1012, 1996, 3057, 2024, 2036, 3491, 1999, 2367, 5269, 2007, 3265, 2466, 3210, 1012, 5624, 2003, 3432, 2464, 2559, 2041, 1997, 1037, 11559, 3332, 1012, 11019, 2003, 2938, 1999, 2392, 1997, 1037, 5259, 1010, 5128, 2006, 2191, 1030, 1011, 1030, 2039, 1025, 2014, 7214, 6898, 3310, 2000, 2131, 2014, 1998, 2027, 8549, 1010, 2295, 2016, 3544, 2000, 2022, 6517, 1012, 2522, 12844, 2003, 8901, 2006, 1037, 6411, 1010, 18497, 2083, 7008, 3794, 2014, 1998, 1037, 2158, 1012, 2016, 3138, 1037, 9442, 2000, 1996, 7760, 1998, 4520, 2068, 4862, 13900, 1012, 7031, 2003, 4688, 2091, 2011, 1037, 5742, 4770, 1010, 2770, 2014, 3093, 2083, 1996, 2300, 1012, 1037, 2402, 2158, 7365, 2039, 2000, 2014, 2007, 1037, 26700, 1997, 4870, 1998, 10055, 2229, 2068, 2046, 1996, 2300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.14255893685679702, 0.007374608469635347, 0.0029449874476284166, 0.012867973718055849, 0.0010068611877993023, 1.1249859376759047e-8, 0.021141094266318373, 0.01122322349263221, 0.0011828271783154286, 0.0009408760963466742, 0.00000884026229448548, 0.0006931877486443786, 0.0014879076806475016, 0.03832906001192517, 0.002536335836900257, 0.007461084161765485, 0.00045748331682039523, 0.12395280133982847, 0.00926141952829871, 0.0018828681888324625, 0.06563422191604414, 0.10062400428852537, 0.0005883152623145801, 0.011962117801508538, 0.0001607144438499765, 0.00018809909669068985, 1.1249859376759047e-8, 0.0034070616544577413, 0.0011951763735328466, 0.027326667931839594, 0.005415228764614271, 0.004793361391576732, 0.0016970507030226534, 0.017834457603261623, 0.015853797675816784, 0.000006503515573066278, 0.0057885954610842295, 0.022252246525030415, 0.14839752910062215, 0.0000027546091064912245, 0.0003231775683593892, 0.021112082281559273, 0.00009264203080568819, 0.02125391398832791, 0.00037708169628183165, 0.00015132876558120433, 0.005091012248488347, 0.11707229588001765, 0.0002904403438273173, 0.013795721789074787 ]
[ 1012, 15456, 12197, 2014, 6898, 1999, 1996, 6457, 1998, 3632, 2083, 2010, 3042, 1012, 1996, 2678, 5885, 2006, 2459, 2255, 2289, 1012, 102, 101, 102, 101, 1027, 1027, 2444, 4616, 1998, 4472, 1027, 1027, 102, 101, 102, 101, 3057, 12575, 2034, 2864, 1000, 2655, 1996, 7171, 1000, 2012, 1037, 5952, 3608, 1999, 4681, 1997, 2336, 1005, 1055, 5952, 29073, 2006, 2184, 2281, 2289, 1012, 1996, 2316, 2036, 2864, 1996, 2299, 2006, 1996, 1060, 5387, 2006, 2459, 2281, 2289, 1010, 2006, 1996, 2703, 1051, 1005, 19011, 2265, 2006, 2538, 2281, 2289, 1010, 2006, 2023, 2851, 2006, 2676, 2281, 2289, 1010, 1998, 2006, 2327, 1997, 1996, 16949, 2006, 2423, 2285, 2289, 1012, 1000, 2655, 1996, 7171, 1000, 2001, 2864, 2006, 2263, 1005, 1055, 14170, 2039, 2778, 1010, 1998, 1010, 2101, 2008, 2095, 1010, 2012, 1996, 3057, 12575, 2283, 2694, 2569, 2218, 2011, 11858, 2487, 1010, 1998, 2012, 1996, 1058, 2782, 1012, 2005, 2268, 1005, 1055, 2041, 1997, 2491, 2778, 1010, 1996, 2316, 2211, 1996, 2836, 2006, 1037, 3760, 1010, 11974, 1030, 1011, 1030, 3833, 2754, 1999, 1996, 2803, 1997, 1996, 5196, 1010, 1998, 5520, 2067, 2000, 1996, 2364, 2754, 2077, 2009, 3092, 1012, 1996, 2168, 2095, 1010, 15984, 2283, 3139, 1996, 2299, 2005, 4035, 2557, 1015, 1005, 1055, 2444, 11549, 1012, 1999, 2286, 1010, 1996, 2299, 2001, 2864, 2076, 1996, 2117, 2552, 1997, 1996, 2702, 1024, 1996, 4978, 2778, 1012, 1000, 2655, 1996, 7171, 1000, 2001, 2036, 3139, 2011, 2195, 3324, 1998, 4996, 2107, 2004, 3147, 13068, 1010, 2585, 5207, 1010, 1042, 2100, 7959, 5473, 3790, 1010, 8861, 17756, 1010, 1998, 2928, 6384, 2015, 1012, 102, 101, 102, 101, 1027, 1027, 11630, 1998, 2650, 26213, 1027, 1027, 102, 101, 102, 101, 2122, 2024, 1996, 11630, 1998, 2650, 26213, 1997, 2350, 2309, 7085, 1997, 1000, 2655, 1996, 7171, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 6495, 1998, 5073, 1027, 1027, 102, 101, 102, 101, 2858, 1516, 4172, 5624, 2099, 1010, 7291, 6262, 102, 101, 9019, 1516, 9392, 6201, 1010, 4422, 13466, 1010, 4717, 3897, 1010, 5199, 8997, 1010, 11291, 3660, 102, 101, 11495, 1516, 5980, 10506, 22536, 2005, 9475, 11495, 102, 101, 6809, 1516, 7441, 10500, 3051, 102, 101, 2537, 1516, 4422, 13466, 1010, 1060, 16515, 27010, 102, 101, 4730, 1516, 9392, 6201, 1010, 4422, 13466, 1010, 4717, 3897, 1010, 5199, 8997, 1010, 11291, 3660, 102, 101, 14029, 1516, 9392, 6201, 1010, 4422, 13466, 1010, 5199, 8997, 1010, 7059, 11190, 2989, 1010, 21025, 19358, 27209, 102, 101, 2955, 1516, 3057, 12575, 102, 101, 2405, 2011, 6654, 1013, 15775, 27877, 2140, 2189, 1998, 1060, 16515, 27010, 2189, 102, 101, 6495, 5967, 2013, 1996, 11197, 3964, 1997, 14170, 2039, 1012, 102, 101, 102, 101, 1027, 1027, 6093, 1998, 10618, 2015, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 2713, 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 102, 101, 1027, 12098, 15455, 1027, 102, 101, 102, 101, 12098, 15455, 1006, 5588, 15498, 1024, 1031, 1149, 2050, 23432, 14536, 2050, 23432, 2094, 1033, 1025, 1039, 1012, 6391, 2629, 1516, 1039, 1012, 3938, 2581, 1007, 2001, 1996, 2132, 1997, 1996, 11078, 1997, 1996, 5588, 6946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 1, 1, 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, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 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 ]
[ 0.08253543886762774, 0.00014267351902270137, 0.00006810501460048994, 0.0031673842832589624, 0.005002453163017785, 1.0638880747191048e-8, 0.14746085916413393, 0.009345341780569841, 1.0638880747191048e-8, 0.0362537971329165, 0.008895265814423469, 0.04332321670430906, 0.00004379908853203763, 0.05412748074484976, 1.0638880747191048e-8, 0.0043970783790914314, 0.008375860674929661, 0.0075774988782849485, 0.0598375487485151, 0.0014854442070476725, 0.06449715031292247, 0.023419423630821296, 0.051690675214402945, 0.088382255952345, 0.04251418448588391, 0.05602833253320489, 0.0028439587227182097, 0.0013376935468768477, 0.008784235799083847, 0.018056836569827768, 0.06738494501033929, 0.03013131380396548, 0.00007694690192367811, 0.00005855717044844287, 0.000046694279750063396, 0.011007077046868818, 0.000009319411178933909, 0.0106643988495637, 0.02782048160846773, 0.00038811780756083954, 0.00026242809696330077, 0.003610694194660231, 0.00023645635728484617, 0.009728030037815754, 0.000023299986476427914, 0.000014050773438121314, 1.063888098898573e-8, 0.008941701250575513, 1.0638880747191048e-8, 0.0000014412850964804115 ]
[ 2012, 1996, 2735, 1997, 1996, 6280, 1998, 6049, 4693, 1012, 2002, 2089, 2031, 2042, 2593, 1996, 6730, 7786, 2030, 6358, 3207, 1997, 1996, 24027, 1010, 2030, 2037, 2510, 3003, 2030, 1043, 10513, 2721, 1010, 2348, 2087, 4751, 1997, 2010, 2166, 2024, 15268, 2011, 7862, 1010, 2138, 2367, 4216, 5383, 27894, 2592, 1012, 2750, 2023, 1010, 2116, 24027, 6523, 2000, 2032, 2004, 1996, 1000, 3910, 1997, 2256, 2406, 1000, 1010, 1998, 12098, 15455, 1005, 1055, 3653, 23238, 21576, 2535, 1999, 1996, 5588, 9187, 1997, 1996, 26349, 6403, 2038, 2042, 13155, 2011, 2070, 2101, 11906, 1012, 1996, 5321, 15127, 2013, 12098, 15455, 5451, 1996, 2983, 1997, 5872, 2127, 7558, 2487, 1012, 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, 12098, 15455, 2001, 1996, 2365, 1997, 2632, 15530, 2040, 2003, 3855, 2004, 1996, 2034, 2132, 1997, 1996, 11078, 1997, 1996, 5588, 6946, 2011, 2035, 5588, 11906, 1012, 2010, 2388, 1005, 1055, 2171, 1998, 2155, 2024, 4242, 1012, 2429, 2000, 5272, 1043, 10513, 2721, 19031, 3406, 1010, 12098, 15455, 2001, 2141, 2105, 6391, 2629, 1012, 2010, 2171, 5173, 2013, 1996, 5588, 2773, 2005, 21569, 1006, 12098, 4502, 1007, 1012, 102, 101, 1996, 8734, 3750, 12790, 18499, 21281, 22991, 4183, 2271, 1006, 1054, 1012, 6205, 2509, 1516, 5345, 2683, 1007, 2163, 2008, 1996, 24027, 1000, 2018, 2196, 2012, 2151, 2051, 2018, 2151, 2060, 3159, 1000, 2077, 12098, 15455, 1010, 2029, 2003, 1999, 4629, 5688, 2000, 1996, 5588, 11906, 1005, 3189, 1997, 1996, 2597, 1997, 12098, 15455, 1005, 1055, 2269, 1012, 1999, 18499, 21281, 22991, 4183, 2271, 1005, 1055, 21283, 1010, 1996, 1047, 3270, 9057, 1047, 3270, 5289, 7531, 1996, 2430, 3989, 1997, 1996, 3094, 1997, 1996, 5588, 6946, 1999, 2344, 2000, 12919, 2010, 2219, 10514, 6290, 22325, 2100, 2058, 2068, 1012, 1996, 1047, 3270, 5289, 3322, 2359, 2000, 16823, 1037, 26625, 2315, 23310, 2098, 2072, 2000, 2599, 1996, 24027, 1012, 2174, 1010, 23310, 2098, 2072, 2106, 2025, 5138, 2023, 3749, 1998, 4081, 2008, 2593, 2632, 15530, 2030, 12098, 15455, 2323, 2022, 3755, 2612, 1997, 2032, 1012, 1996, 1047, 3270, 5289, 5411, 1996, 24027, 2007, 2023, 2047, 6378, 1012, 2027, 6871, 12098, 15455, 2000, 2010, 2269, 1010, 2138, 2002, 2001, 1000, 6551, 12749, 2005, 9866, 1998, 9517, 1998, 11748, 8162, 1010, 1998, 5214, 1997, 2023, 3627, 1000, 1012, 6920, 1010, 12098, 15455, 2001, 2081, 1000, 3159, 2429, 2000, 1996, 7661, 1012, 1012, 1012, 1997, 1996, 15775, 9057, 2015, 1010, 2011, 8783, 2032, 2588, 1037, 6099, 1012, 1000, 12790, 18499, 21281, 22991, 4183, 2271, 5218, 2000, 12098, 15455, 2004, 1000, 2307, 3159, 1997, 5872, 1000, 1006, 3306, 1024, 1166, 29723, 29721, 14608, 19579, 1174, 26789, 29732, 29737, 27432, 19579, 1155, 29732, 29737, 29739, 29735, 1007, 1012, 102, 101, 1996, 15258, 1997, 1996, 8734, 3750, 1005, 1055, 3189, 1997, 12098, 15455, 1005, 1055, 2602, 2003, 15268, 2011, 2715, 7862, 1024, 2005, 6013, 1010, 5125, 8560, 2072, 2163, 2008, 2009, 2003, 1000, 2738, 13727, 1998, 20071, 23411, 1000, 1010, 2021, 1998, 8180, 6902, 2050, 1030, 1011, 1030, 11937, 2015, 7009, 2008, 2049 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.04132989743768717, 0.10136750297780446, 0.000021217622245070665, 0.000026222368956793934, 0.0024514002109633755, 0.05301028473543856, 0.03814220317355383, 0.06167310061099644, 0.004663875917011762, 0.045942744316828786, 0.0003528852308210672, 0.0073908040570675616, 0.008271589661114355, 0.004204929882696452, 0.000047487574674337944, 0.0008496742660970589, 0.00010163051740370908, 0.005473980500811674, 0.02183710273213176, 0.026479552721763583, 0.045545018077672736, 0.00012133165164933828, 0.0027992030108580177, 0.001477220965527021, 0.012275010389207407, 7.498359733809061e-9, 0.0000025592161681553054, 0.03405672150730552, 0.009538249982859955, 0.0050719301817508805, 0.028968837609052795, 0.055202920197432455, 0.000018023912758220484, 0.00008651323106403308, 0.010141975624224312, 7.498359733809061e-9, 0.011085923405732953, 0.18455899610120624, 0.0000014666515546875166, 0.00003577368594810079, 0.000015337335590283192, 0.027578994517958984, 0.03233451803439166, 0.006570808662819432, 0.02039858027124322, 0.03423620059015652, 0.00013936049263553647, 0.000006733538130551042, 0.05409049847579765, 0.0000031911665160569762 ]
[ 4563, 2003, 10539, 1012, 1996, 3732, 5272, 9909, 2008, 12098, 15455, 1005, 1055, 2602, 2001, 3755, 2011, 2632, 15530, 2040, 3140, 23310, 2098, 2072, 6358, 3207, 2000, 17738, 17457, 1012, 11914, 1010, 1999, 6902, 2050, 1030, 1011, 1030, 11937, 2015, 1005, 1055, 3193, 1010, 12098, 15455, 4594, 23310, 2098, 2072, 2004, 6730, 7786, 2030, 6358, 3207, 1010, 2029, 9124, 2010, 2269, 2000, 7969, 2010, 2219, 2597, 1997, 1996, 5025, 3003, 1997, 1996, 24027, 2030, 1043, 10513, 2721, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2875, 1996, 5588, 9187, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 5700, 10539, 3120, 1997, 12098, 15455, 1005, 1055, 2166, 2003, 2019, 2220, 6049, 1030, 1011, 1030, 2301, 6254, 1010, 1996, 13633, 1997, 1996, 9519, 2011, 2577, 1996, 8284, 1012, 2009, 6583, 11335, 4570, 2008, 1996, 8734, 3750, 6688, 6819, 1996, 7968, 1006, 1054, 1012, 6070, 2575, 1516, 6205, 2475, 1007, 2741, 2010, 19918, 3835, 10230, 8040, 3917, 2271, 2000, 1996, 24027, 1999, 6486, 2549, 2030, 6486, 2629, 1000, 2000, 2507, 7534, 1000, 1998, 4297, 4221, 2068, 2114, 1996, 7643, 3400, 1012, 8040, 3917, 2271, 2777, 2007, 2037, 2048, 4177, 1010, 12098, 15455, 1998, 13970, 2869, 13471, 1010, 2012, 1996, 2896, 16212, 1012, 8040, 3917, 2271, 1005, 1055, 3260, 4594, 1024, 1037, 5588, 2390, 2574, 4625, 1996, 16212, 2006, 8734, 3719, 2114, 8063, 1012, 2019, 6970, 18155, 3370, 1999, 18499, 21281, 22991, 4183, 2271, 1005, 1055, 3793, 6083, 2008, 1996, 17657, 24027, 2020, 2104, 1996, 3094, 1997, 12098, 15455, 1005, 1055, 2365, 1010, 8607, 16778, 2912, 1012, 102, 101, 1996, 4460, 2218, 2011, 12098, 15455, 1998, 13970, 2869, 13471, 2012, 1996, 2051, 1997, 2037, 7776, 2007, 8040, 3917, 2271, 2024, 15268, 2011, 7862, 1012, 8560, 2072, 2626, 2008, 12098, 15455, 2001, 1996, 1043, 10513, 2721, 1010, 1998, 13970, 2869, 13471, 2001, 1996, 6358, 3207, 1012, 1999, 5688, 1010, 19031, 3406, 2056, 2008, 13970, 2869, 13471, 2001, 1996, 1043, 10513, 2721, 1998, 12098, 15455, 3421, 2010, 2269, 1010, 2632, 15530, 6358, 3207, 1012, 102, 101, 2012, 2008, 2051, 1010, 1996, 7643, 2015, 2018, 27770, 2098, 1996, 3521, 5036, 1998, 2020, 23530, 2083, 1996, 16215, 22648, 2937, 10833, 1012, 3425, 9505, 2068, 2005, 4911, 2037, 11292, 2000, 4828, 2256, 2643, 1010, 1996, 3750, 1997, 2035, 1010, 1998, 2027, 2855, 2777, 2039, 2007, 2037, 7750, 1012, 2096, 2256, 2749, 2020, 5117, 2114, 1996, 7354, 19023, 1010, 7746, 11293, 2419, 1996, 1031, 24027, 1033, 1010, 1999, 2173, 1997, 1996, 10900, 1010, 2000, 3049, 2114, 1996, 7643, 2015, 1012, 2256, 9995, 1005, 1055, 4170, 1997, 3719, 3569, 2068, 1998, 10768, 22155, 2094, 2068, 2408, 1996, 16212, 1012, 1031, 11293, 1033, 2741, 2068, 2041, 2114, 1996, 2390, 1997, 1996, 7643, 2015, 2008, 2018, 2061, 10433, 2135, 2579, 2039, 2608, 2114, 8135, 1998, 1010, 2004, 2295, 2027, 2020, 2270, 7781, 2545, 1010, 2027, 13079, 2135, 3249, 2068, 1999, 2093, 20583, 1010, 2061, 2008, 1996, 3017, 10900, 2453, 2025, 18110, 21101, 3209, 2007, 1996, 2668, 1997, 1996, 3017, 7643, 2015, 1012, 102, 101, 1996, 5588, 2390, 3249, 1996, 7643, 2015, 1010, 2021, 1996, 3732, 5086, 1996, 21877, 8661, 13910, 2015, 2114, 2068, 1012, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 8.310893919750934e-9, 0.006482417244174789, 0.06533756142044747, 0.051917103274826785, 0.05082104613353608, 0.0017201274817453872, 0.0062677483588106115, 0.00020249273104238898, 0.002306851606209932, 0.06951082050414592, 0.036351515301780137, 0.05275087706484275, 0.00012810661683570972, 0.04285127926771682, 0.04311500680631714, 0.011149968613944282, 0.020565688011957503, 0.002003676654510131, 0.0016590460570289763, 0.004102374913172046, 0.0004144872403114026, 0.000978723471310211, 0.004145040276335234, 0.037922354083247026, 0.00000264999546520366, 0.00010612207701710809, 0.01908368388626062, 0.024188018634544613, 0.0017851291248841873, 0.000041937383750294185, 8.310893919750934e-9, 0.0022310979672132505, 0.00002046205596847853, 0.03294608584062124, 0.027939633805749937, 0.05066086144104562, 1.6137667890742896e-7, 0.10115759274103174, 0.0047175644254545575, 0.002888714389162724, 0.034887243873616025, 0.00007231128540176393, 0.035233909717884315, 0.008822194803669234, 0.010954602700795546, 0.0624611548288509, 0.0002578637440003117, 0.06257234894061231, 0.002078185486752387, 0.0021861397175318596 ]
[ 7643, 2015, 1998, 21877, 8661, 13910, 2015, 7453, 10836, 1996, 24027, 1005, 6500, 1999, 1996, 2530, 4655, 1997, 1996, 21179, 2594, 29096, 2015, 1999, 6486, 2629, 2030, 6486, 2575, 1012, 1996, 6215, 1997, 2037, 13160, 3182, 2011, 1996, 21877, 8661, 13910, 2015, 3140, 1996, 24027, 2000, 2681, 2005, 1037, 2047, 10759, 2408, 1996, 26349, 4020, 2875, 1996, 6090, 8540, 2937, 5810, 1012, 102, 101, 1996, 14640, 9519, 2758, 2008, 12098, 15455, 1005, 1055, 2269, 2632, 15530, 1000, 2071, 2025, 4607, 6090, 8540, 2401, 1010, 2005, 2002, 2001, 2730, 1999, 9413, 9247, 2860, 1000, 2030, 20816, 1012, 25540, 2884, 1010, 19031, 3406, 1998, 9587, 19666, 2906, 1010, 2040, 5138, 1996, 15258, 1997, 2023, 3189, 1010, 2626, 2008, 2632, 15530, 1005, 1055, 2331, 2001, 1037, 8887, 4028, 1010, 2714, 2000, 1996, 8688, 1997, 1996, 1047, 3270, 9057, 1047, 3270, 5289, 2015, 1999, 2553, 1997, 1037, 7071, 12473, 2037, 2111, 1012, 1999, 5688, 2007, 2068, 1010, 6902, 2050, 1030, 1011, 1030, 11937, 2015, 2163, 2008, 2130, 2065, 1996, 3189, 2006, 2632, 15530, 1005, 1055, 4028, 1000, 11138, 2995, 2724, 1010, 1996, 2069, 2825, 7526, 2052, 2022, 2008, 12098, 15455, 2030, 2619, 1999, 2010, 25342, 1000, 2730, 1996, 4793, 3159, 1012, 8560, 2072, 19164, 1996, 14640, 9519, 1005, 1055, 3189, 2006, 2632, 15530, 1005, 1055, 4028, 1999, 20816, 1010, 2138, 1996, 2197, 5254, 1997, 2632, 15530, 1999, 1996, 22133, 21283, 1997, 1996, 16216, 9153, 5112, 10464, 6824, 2003, 4198, 2000, 1037, 6859, 1997, 4895, 2290, 10755, 1006, 1057, 27922, 16368, 7716, 1010, 5924, 1007, 2011, 1996, 24027, 1012, 1996, 3732, 9519, 2758, 2008, 2632, 15530, 2805, 12098, 15455, 1000, 2004, 3003, 1998, 3040, 1000, 1997, 1996, 24027, 2006, 2023, 6686, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5853, 1027, 1027, 1027, 102, 101, 102, 101, 12098, 15455, 1005, 1055, 2171, 1000, 2003, 3294, 4242, 1000, 2000, 2035, 4216, 2517, 1999, 2264, 23151, 7405, 1010, 2029, 2001, 2028, 1997, 1996, 2364, 4204, 1997, 1996, 26349, 6403, 2012, 1996, 2735, 1997, 1996, 6280, 1998, 6049, 4693, 1012, 2122, 4216, 1010, 2164, 1996, 4698, 4244, 26234, 11639, 28775, 1998, 1996, 4698, 4244, 1041, 2483, 3490, 10362, 12325, 2015, 1010, 2069, 5254, 2019, 2060, 5588, 3003, 1010, 13970, 2869, 13471, 1012, 2429, 2000, 19031, 3406, 1998, 2060, 7862, 1010, 2122, 4216, 6592, 2008, 13970, 2869, 13471, 2442, 2031, 2042, 1996, 1043, 10513, 2721, 7991, 1996, 5588, 2749, 1010, 2096, 12098, 15455, 4594, 2010, 7129, 2269, 2004, 1996, 6730, 6358, 3207, 1012, 21991, 1037, 22133, 3399, 1010, 1996, 7056, 5272, 20099, 2050, 2626, 2008, 13970, 2869, 13471, 2001, 1996, 6358, 3207, 1998, 12098, 15455, 1043, 10513, 2721, 2069, 4594, 2032, 2043, 13970, 2869, 13471, 2001, 7129, 2011, 15097, 2015, 1999, 3938, 2475, 2030, 3938, 2549, 1012, 102, 101, 1999, 5688, 2000, 3053, 9530, 18532, 17822, 17191, 4216, 1010, 5588, 11906, 2517, 4693, 2044, 1996, 2824, 1517, 2005, 6013, 1010, 1996, 16216, 9153, 5112, 10464, 6824, 1998, 1996, 14640, 9519, 1517, 17902, 12098, 15455, 1005, 1055, 3653, 1030, 1011, 1030, 14953, 2535, 1999, 1996, 9187, 1997, 1996, 26349, 6403, 1012, 1996, 16216, 9153, 5112, 10464, 6824, 2036, 11637, 12098, 15455, 1005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0000037851255446333014, 0.04062359937295768, 0.0006339234607833879, 0.02085370973668873, 0.01722300621249432, 0.00018813955802981494, 0.00966482381522669, 0.0006179869321460667, 0.000014456302295956896, 0.0005090456797400728, 0.03601696202689385, 0.04084708187425844, 0.009011768801328783, 0.056303397728540094, 7.311355156023304e-9, 0.07084783339890983, 0.04896799810969124, 0.022016883914704202, 1.1017375605388968e-7, 0.021808228567085888, 9.723542093881732e-7, 0.07245761816615709, 0.040269368715158564, 0.0011951906176554921, 0.02535941162338699, 0.049625558160382575, 0.015957424392538756, 0.06738212781143033, 0.0009555901585191608, 0.0004861746614741736, 0.0002609222428832396, 0.03570322566775173, 0.06420111416087161, 0.00002985632105877529, 0.000021204834960108522, 0.04196975868784975, 0.06284600288481665, 0.028169930262994778, 0.02660976487094551, 0.0001636575828767571, 7.311355156023304e-9, 0.004306559608224537, 0.01839300680085904, 0.015259001202438598, 0.000168514619543159, 0.010159475360257632, 0.00010346653908838465, 0.02176423341485929, 0.000016580441239781827, 0.000011532421782180997 ]
[ 1055, 2510, 4813, 1998, 2010, 26161, 1012, 2023, 9519, 2036, 20618, 2008, 8915, 6528, 2100, 1010, 2028, 1997, 1996, 4641, 1997, 1996, 2698, 5588, 6946, 1010, 3734, 1000, 1996, 2455, 1997, 20816, 2005, 2370, 1998, 2010, 13082, 3012, 1000, 2069, 2044, 12098, 15455, 2018, 9362, 2032, 2000, 16152, 2009, 1012, 102, 101, 2383, 4625, 1996, 16212, 1010, 2027, 4372, 26468, 2098, 3875, 1996, 16212, 2004, 2521, 2004, 13007, 10354, 2884, 5369, 5737, 2480, 1012, 4994, 2023, 1010, 2035, 1996, 10900, 2542, 2802, 1996, 2455, 1997, 6090, 8540, 2401, 1010, 5552, 2037, 3268, 2011, 3462, 1012, 2279, 2154, 1010, 3159, 12098, 15455, 1998, 2035, 2010, 2877, 2273, 2007, 2035, 1996, 6424, 1997, 5872, 3133, 1996, 2103, 1997, 2332, 2012, 26065, 1998, 2027, 2387, 2035, 1996, 2548, 22763, 1010, 2070, 9868, 2000, 1996, 10100, 1010, 2500, 2025, 1010, 1998, 2027, 12749, 3458, 5468, 1996, 2962, 3121, 1998, 2020, 19366, 2084, 2064, 2022, 2409, 2008, 2027, 2018, 10849, 2000, 2202, 2302, 3554, 1996, 2103, 1997, 2332, 2012, 26065, 1010, 1997, 3005, 2240, 3159, 12098, 15455, 9287, 1012, 2027, 9831, 2098, 2296, 2154, 2007, 2307, 6569, 1999, 1996, 4186, 1997, 2332, 2012, 26065, 1010, 3564, 4077, 2028, 2178, 1010, 1998, 2035, 1996, 16106, 1998, 4086, 4165, 1997, 1062, 8939, 2545, 1998, 12432, 2247, 2007, 2035, 1996, 2774, 1997, 8117, 26877, 2015, 2020, 3591, 2000, 2068, 1012, 1012, 1012, 3159, 12098, 15455, 2435, 2307, 4915, 1998, 5144, 2000, 1996, 6368, 6595, 2007, 2068, 1010, 1998, 1010, 2043, 2027, 2657, 2023, 1010, 2116, 6368, 16215, 17583, 2098, 2000, 2032, 1998, 24986, 4370, 2007, 2032, 1012, 102, 101, 1996, 16216, 9153, 5112, 10464, 6824, 2758, 2008, 12098, 15455, 2165, 1000, 2019, 11292, 1997, 1996, 2877, 2273, 1998, 6424, 1997, 5872, 1010, 1000, 1998, 1000, 2018, 2010, 2365, 1010, 3159, 1062, 27914, 2319, 8319, 1000, 2000, 3159, 1999, 2010, 2166, 1012, 2174, 1010, 1996, 15258, 1997, 2023, 3189, 1998, 1996, 2862, 1997, 1996, 2882, 12000, 1999, 1996, 16216, 9153, 5112, 10464, 6824, 2003, 22917, 1012, 2005, 6013, 1010, 2009, 26663, 6904, 22578, 2480, 1010, 2040, 5451, 2043, 12790, 8890, 18499, 21281, 22991, 4183, 2271, 2001, 7678, 2010, 2139, 4748, 25300, 20528, 15482, 17727, 11124, 2080, 2105, 20317, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2331, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 3058, 1997, 12098, 15455, 1005, 1055, 2331, 2003, 15268, 1012, 1996, 16216, 9153, 5112, 10464, 6824, 2163, 2008, 2002, 2351, 1999, 3938, 2581, 1012, 2174, 1010, 19031, 3406, 2626, 2008, 2002, 2941, 2351, 1999, 7706, 2030, 2101, 2138, 1996, 16216, 9153, 2758, 3938, 2509, 2003, 1996, 3225, 3058, 1997, 1996, 5588, 1000, 2455, 1030, 1011, 1030, 2635, 1000, 2612, 1997, 2049, 5025, 3058, 2105, 6486, 2629, 1012, 2065, 1996, 16216, 9153, 1005, 1055, 3189, 2006, 2010, 6715, 2003, 10539, 1010, 12098, 15455, 2001, 3950, 1000, 2012, 1996, 2132, 1997, 1037, 2235, 2314, 2008, 6223, 2083, 1037, 2962, 12731, 26229, 2102, 2000, 1996, 2103, 1997, 2332, 2012, 26065, 1000, 2073, 1037, 2352, 1010, 10768, 5886, 13910, 2100, 3270, 4143, 1010, 2764, 2379, 13007, 2050, 1037, 2301, 2101, 1012, 102, 101, 102, 101, 1027, 1027, 8027, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.000009968539749980149, 8.404961112347104e-9, 0.06856867595316433, 0.000017272941621217468, 0.005733652665764902, 0.0000018532006731445238, 0.03330573261488608, 0.00018794694670669216, 0.0008004961385679967, 0.000560943242521972, 0.1029154731989964, 0.00003351316179950186, 0.07751376156981751, 0.0004161939788227056, 0.025279898436286318, 0.001966160262914118, 0.09428410194159886, 0.00018653030404159953, 0.02331544356413801, 0.019497852089073314, 0.0005013155571755279, 0.020099485277219317, 0.0034586988312851606, 0.054408992549019736, 0.000008771046459465777, 0.004138147525388572, 0.005031822668839635, 0.000014532666348702532, 0.0056693089661109105, 0.0636214141412041, 0.000005557055230769515, 0.01608742560332328, 0.0011496840419776082, 0.004912585476907998, 0.007811305539936629, 0.003429131819178368, 0.00003892052725196715, 0.05734434743519357, 0.003946948789387115, 0.0014808631996730296, 0.012356444719759482, 0.00009259578330045121, 0.08408715453521537, 0.020560862199291915, 8.404961112347104e-9, 0.00001637728459577277, 0.000487885982410808, 0.17190575225724186, 0.000039372838013253654, 0.0026988081219926014 ]
[ 102, 101, 102, 101, 1996, 24027, 3369, 1999, 2037, 2047, 10759, 2306, 1996, 26349, 2015, 2104, 12098, 15455, 1012, 12098, 15455, 2003, 1996, 4054, 3364, 1999, 1996, 16216, 9153, 5112, 10464, 6824, 1010, 2029, 12332, 1000, 2471, 2035, 13432, 2824, 1000, 1997, 1996, 1000, 5588, 2455, 1030, 1011, 1030, 2635, 1000, 2000, 2032, 1012, 7297, 1010, 2127, 1996, 14446, 1997, 1996, 3287, 2240, 1997, 2010, 5321, 1999, 7558, 2487, 1010, 5872, 2001, 5451, 2011, 1000, 1037, 2309, 2240, 1997, 12000, 1000, 1010, 2035, 15127, 2013, 12098, 15455, 1012, 12098, 15455, 2003, 2145, 15607, 2426, 1996, 24027, 2004, 10189, 7911, 23270, 2080, 2030, 1996, 1000, 3910, 1997, 2256, 2406, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 2155, 1027, 1027, 102, 101, 102, 101, 18499, 21281, 22991, 4183, 2271, 2758, 12098, 15455, 1000, 2018, 2176, 4124, 1024, 2034, 1010, 16985, 24498, 6844, 2271, 1025, 2117, 1010, 29464, 2571, 2818, 1025, 2353, 1010, 22834, 16161, 5753, 3022, 1025, 2959, 1010, 23564, 24458, 2015, 1000, 1012, 2174, 1010, 2002, 2036, 5218, 2000, 2028, 1000, 8607, 16778, 13716, 1010, 2365, 1997, 1000, 12098, 15455, 1025, 19031, 3406, 2626, 2008, 8607, 16778, 13716, 1006, 8607, 16778, 2912, 1007, 2001, 2019, 4522, 2171, 1997, 16985, 24498, 6844, 2271, 1006, 16985, 15006, 1007, 1012, 1996, 2171, 1998, 2155, 1997, 1996, 2388, 1997, 12098, 15455, 1005, 1055, 4124, 2024, 4242, 1012, 1996, 2206, 2003, 1037, 2155, 3392, 10886, 12098, 15455, 1005, 1055, 10748, 1998, 2010, 8481, 2000, 1996, 2203, 1997, 1996, 6049, 2301, 1024, 102, 101, 1008, 8607, 16778, 2912, 1998, 16985, 24498, 9759, 2015, 2024, 4011, 2000, 2031, 2042, 7235, 1012, 1008, 1008, 1996, 2269, 1997, 11937, 2015, 2001, 2028, 1997, 12098, 15455, 1005, 1055, 2176, 2030, 2274, 4124, 1010, 2021, 2010, 2171, 2003, 4242, 1012, 1008, 1008, 1008, 2035, 2101, 2882, 12000, 1998, 5465, 1997, 5872, 9287, 2013, 27006, 3385, 2100, 1012, 102, 101, 102, 101, 102, 101, 1027, 2508, 1038, 1012, 2146, 6305, 2890, 1027, 102, 101, 102, 101, 2508, 12975, 2146, 6305, 2890, 1006, 2257, 2340, 1010, 13199, 1516, 2254, 1015, 1010, 7845, 1007, 2001, 2019, 2137, 6533, 2923, 1998, 27771, 1010, 1998, 2013, 9730, 2127, 2010, 2331, 1996, 2959, 2708, 27771, 1997, 1996, 2142, 2163, 12927, 1012, 2146, 6305, 2890, 2003, 2190, 2124, 2005, 12697, 1996, 2796, 2132, 9358, 1010, 2029, 3133, 6236, 1999, 8165, 1010, 1998, 2005, 1996, 5617, 1997, 1996, 6099, 15519, 1010, 3909, 6755, 9358, 1998, 2060, 7824, 1997, 1996, 3054, 1030, 1011, 1030, 3708, 2301, 1012, 102, 101, 2146, 6305, 2890, 2001, 2141, 1999, 8452, 2221, 1010, 3552, 1999, 13199, 1012, 2002, 2743, 2185, 2000, 4407, 2012, 2287, 2260, 1010, 3352, 2019, 13357, 1999, 1037, 21785, 1012, 2010, 6018, 5848, 2764, 1998, 2002, 2001, 2207, 2000, 13357, 1999, 2019, 23501, 3813, 1012, 2002, 4930, 2041, 2006, 2010, 2219, 1999, 12552, 1010, 2437, 1037, 2171, 4346, 11249, 2005, 2759, 16747, 2808, 1012, 2002, 6791, 1996, 2877, 2273, 1997, 2010, 2154, 1025, 2490, 2013, 2070, 1997, 2068, 1010, 2107, 2004, 2148, 3792, 5205, 2198, 1039, 1012, 22982, 1010, 2419, 2000, 2010, 6098, 2004, 2708, 27771, 2044, 1996, 2331, 1997, 3017, 2175, 13578, 10143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0007181451446463458, 0.0006885699502833569, 0.04689302344613554, 0.00006854120728108888, 0.0001547086071316478, 0.00013748526892083722, 0.005343914381044302, 0.006969943117795086, 0.06780706527515344, 0.00002847835177798405, 0.005618846716597323, 0.00033782870902296223, 0.07341771287340583, 0.00006669931021996059, 0.0000822612551675214, 0.01252963067985014, 8.45618049548237e-9, 0.0000016801027940634754, 8.45618049548237e-9, 0.07745645286192898, 0.026762161737418484, 0.04629320518639875, 0.000001556290441504484, 0.0001766358427171379, 0.010003051955301481, 0.004921699296534027, 0.006236998602803254, 0.004770793610303542, 0.00040464728610536846, 0.000008192398254545451, 8.45618049548237e-9, 0.0000704506910267201, 0.1280844682646003, 0.03370980700738184, 0.01926167179692011, 0.09823155269421491, 0.000013061220033699888, 0.004101749665292615, 8.45618049548237e-9, 0.0000043488717621332, 0.007007123425273425, 0.00004480040691551806, 0.09788349735759938, 0.09951621563815181, 0.00002364346554732408, 0.0006045180405663197, 0.07150063778591498, 0.0002775307745445648, 0.00354086902435954, 0.038224090579738274 ]
[ 1999, 9730, 1012, 102, 101, 1999, 2146, 6305, 2890, 1005, 1055, 2034, 2086, 2004, 1037, 2708, 27771, 1010, 1996, 4407, 12927, 2001, 6817, 2011, 12927, 2472, 2728, 1049, 1012, 12424, 1998, 2708, 9226, 2121, 5951, 26034, 2571, 1012, 4736, 2090, 2146, 6305, 2890, 1998, 1996, 2048, 2273, 2764, 2044, 3519, 3641, 1037, 2047, 2751, 7922, 1998, 3313, 6755, 1010, 2007, 2119, 2000, 2022, 2881, 2011, 2146, 6305, 2890, 1012, 26034, 2571, 1998, 12424, 3053, 2018, 2146, 6305, 2890, 5045, 1010, 2021, 1996, 2708, 27771, 2001, 2583, 2000, 8054, 9837, 3187, 2520, 1049, 1012, 10635, 2008, 2002, 2323, 2022, 6025, 1012, 2119, 12424, 1998, 26034, 2571, 2187, 1996, 12927, 1999, 1996, 2220, 16488, 1010, 4566, 1996, 4736, 1012, 102, 101, 1999, 8708, 1010, 2146, 6305, 2890, 2881, 1996, 3909, 6755, 9358, 1012, 2043, 2008, 2640, 4928, 3697, 2000, 4894, 1010, 2146, 6305, 2890, 2001, 3625, 2005, 1996, 6110, 1010, 1996, 2796, 2132, 9358, 1010, 3843, 2927, 1999, 8165, 1012, 2060, 7824, 2881, 2011, 2146, 6305, 2890, 2421, 1996, 3165, 1998, 15519, 2093, 1030, 1011, 1030, 9358, 4109, 1010, 1996, 6099, 15519, 1010, 1998, 1996, 2048, 1030, 1011, 1030, 9358, 3538, 1012, 1999, 7647, 1516, 7517, 1010, 2002, 17051, 1996, 7824, 1997, 7029, 1012, 2146, 6305, 2890, 2351, 3402, 2006, 2047, 2095, 1005, 1055, 2154, 7845, 1025, 2002, 2001, 4594, 2011, 2520, 13362, 1012, 2146, 6305, 2890, 1005, 1055, 7824, 2024, 3227, 2092, 1030, 1011, 1030, 5240, 2651, 1010, 2348, 2027, 2031, 2042, 6367, 2005, 3768, 1997, 6018, 12607, 1012, 102, 101, 102, 101, 1027, 1027, 2220, 2166, 1025, 2797, 4753, 2476, 1027, 1027, 102, 101, 102, 101, 2508, 12975, 2146, 6305, 2890, 2001, 2141, 2006, 1037, 3888, 1999, 8452, 2221, 1010, 3552, 2006, 2257, 2340, 1010, 13199, 1012, 2010, 2388, 4532, 1006, 12975, 1007, 2146, 6305, 2890, 2351, 2220, 1999, 2010, 2166, 1025, 2010, 2269, 1010, 2848, 2146, 6305, 2890, 1010, 2001, 1996, 18855, 4765, 1997, 2220, 4467, 7322, 1997, 2167, 2637, 1012, 2043, 2848, 2146, 6305, 2890, 19316, 1010, 2010, 2365, 2179, 1996, 2188, 2166, 2046, 3917, 3085, 1010, 1998, 2508, 2146, 6305, 2890, 2187, 2188, 2012, 1996, 2287, 1997, 2260, 1010, 6224, 2147, 1999, 1996, 3518, 2103, 1997, 4407, 1012, 2002, 13357, 2094, 2370, 2012, 1037, 21785, 1025, 1996, 3954, 1010, 2198, 1041, 1012, 7908, 1010, 2165, 1996, 2879, 2046, 2010, 2155, 1012, 2058, 1996, 2206, 2086, 1010, 2146, 6305, 2890, 2499, 1999, 1996, 21785, 1010, 2021, 7908, 3651, 2008, 1996, 2879, 1005, 1055, 8066, 2001, 1999, 6533, 5397, 1012, 7908, 4379, 2146, 6305, 2890, 1037, 2713, 2013, 2010, 20448, 1999, 12169, 2061, 2008, 2002, 2071, 3582, 2019, 6018, 18437, 1010, 2021, 1996, 2048, 2815, 2485, 1010, 1998, 7908, 2052, 2411, 5271, 2146, 6305, 2890, 1005, 1055, 2573, 1012, 102, 101, 2146, 6305, 2890, 2150, 13357, 2094, 2000, 2577, 6264, 1010, 4054, 1999, 1996, 23501, 3813, 6264, 1010, 23641, 1010, 4189, 2386, 1004, 2522, 1012, 2012, 4700, 20344, 5358, 2395, 1999, 4407, 1012, 2023, 2449, 5173, 2013, 1996, 3813, 2511, 2011, 1996, 4407, 12927, 1005, 1055, 2034, 2708, 27771, 1010, 2728, 8040, 4140, 1012, 2146, 6305, 2890, 2815, 2012, 1996, 6264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00003467776633492719, 0.007506472542147516, 0.0004420787518975898, 0.00024705571360573986, 0.002845298050259103, 0.04105051729664789, 0.082005196132604, 0.08048909131006227, 0.00855704890280067, 0.016581719401866406, 0.0001972486919554908, 0.006842368462021737, 0.030653386633521674, 0.04310912134226345, 0.0451933185833976, 0.0277169647656265, 0.0002319477459112047, 0.16138259926317433, 0.002352218483970467, 0.0008568254632863867, 0.006618723769824733, 0.0002734498110673001, 6.77508571370751e-7, 0.023262763197517387, 0.000005264129140335346, 0.00003515849916271755, 0.045908864048207834, 0.00027327566515690846, 0.010601141809109892, 0.00003878534156077094, 9.992307424484717e-8, 0.00021961039389869013, 0.001410857467272216, 0.0021870761691601746, 0.010415855880245779, 0.00000465174649693255, 0.09724406464226307, 0.001674601366021074, 0.04544142947848316, 0.07597723335020834, 0.011715719229515835, 0.0010343902291562119, 0.004056920651377845, 0.045202382874190664, 0.0010071064572027943, 0.05080112505134321, 0.0022544079403021304, 0.000011905799899515172, 0.0034995261288698937, 0.0005277761383440922 ]
[ 3813, 2127, 12552, 1025, 2010, 2350, 2147, 2045, 2001, 9668, 1997, 2577, 2899, 1010, 2726, 7625, 1010, 1998, 2198, 13849, 2029, 2020, 2872, 2006, 1037, 6904, 6169, 27605, 2571, 1997, 1996, 8170, 1997, 4336, 2011, 6674, 2198, 8026, 3619, 1025, 1996, 2147, 3465, 8026, 3619, 1037, 2561, 1997, 1002, 1023, 1030, 1010, 1030, 2199, 1006, 5020, 2000, 1002, 16621, 1030, 1010, 1030, 11899, 2651, 1007, 1012, 2036, 4846, 2012, 1996, 6264, 3813, 2013, 12357, 2001, 1996, 2158, 2040, 2052, 2022, 2146, 6305, 2890, 1005, 1055, 8646, 2004, 2708, 27771, 1010, 3017, 2175, 13578, 10143, 1012, 2146, 6305, 2890, 1005, 1055, 2147, 2012, 1996, 2194, 2435, 2032, 1037, 2204, 5891, 2004, 2019, 27771, 10571, 1999, 14259, 2060, 3324, 1005, 5265, 2004, 1037, 6267, 23501, 1010, 1998, 1999, 12552, 1010, 2002, 2275, 2039, 2010, 2219, 2449, 2012, 11816, 7222, 2395, 1999, 4407, 1012, 102, 101, 2146, 6305, 2890, 1005, 1055, 2034, 2590, 3222, 2020, 7766, 2005, 1055, 1012, 1042, 1012, 9999, 1005, 1055, 12204, 1999, 11102, 1025, 2019, 23501, 1997, 2236, 4080, 4027, 2011, 2146, 6305, 2890, 2241, 2006, 1037, 6533, 2011, 2726, 21396, 2135, 4719, 2898, 4341, 1012, 2146, 6305, 2890, 2059, 3530, 2000, 25540, 22401, 11249, 2005, 3312, 1998, 2198, 12055, 2239, 1005, 1055, 22056, 1997, 1996, 3696, 2545, 1997, 1996, 8170, 1997, 4336, 1010, 2405, 1999, 3157, 6702, 2090, 11102, 1998, 12309, 1012, 2348, 1996, 6957, 2001, 4417, 2011, 6256, 1997, 1996, 3015, 1010, 4341, 2020, 2204, 2438, 2008, 1996, 2622, 2001, 2949, 1012, 16371, 26725, 12070, 3213, 2957, 4586, 6083, 2008, 1996, 2808, 2853, 2006, 1996, 3997, 1997, 1996, 3737, 1997, 2146, 6305, 2890, 1005, 1055, 11249, 1012, 2146, 6305, 2890, 2036, 2949, 1037, 2186, 1997, 2913, 1997, 5889, 1999, 2037, 4395, 1999, 11931, 2005, 1996, 2137, 3004, 1012, 102, 101, 2007, 8220, 4342, 2013, 1996, 12055, 2239, 2186, 1010, 2146, 6305, 2890, 3818, 2000, 3277, 2010, 2219, 2275, 1997, 22056, 7203, 2007, 7766, 1997, 1996, 5739, 1012, 2002, 2001, 2006, 1996, 2391, 1997, 12106, 2023, 2622, 1010, 2383, 11241, 1002, 1015, 1030, 1010, 1030, 2199, 1997, 2010, 2219, 2769, 1006, 5020, 2000, 1002, 2603, 1030, 1010, 1030, 3963, 2509, 2651, 1007, 1999, 7547, 1010, 2043, 2002, 4342, 2008, 2508, 22103, 1997, 2047, 2259, 2103, 2001, 4041, 1037, 2714, 2186, 1012, 1999, 2255, 10937, 1010, 2002, 2626, 2000, 22103, 1010, 1998, 1996, 2048, 2273, 3530, 2000, 2147, 2362, 2006, 1996, 2137, 6533, 3916, 1006, 2101, 2170, 1996, 2120, 6533, 3916, 1997, 5182, 4841, 1007, 1010, 2405, 1999, 2176, 6702, 2090, 10700, 1998, 10011, 1012, 22103, 2001, 2019, 3063, 1010, 2021, 2172, 1997, 1996, 2147, 1997, 28252, 3062, 2000, 2146, 6305, 2890, 1010, 2040, 7837, 4235, 1999, 1996, 2142, 2163, 2000, 11080, 5739, 2013, 2166, 1012, 2002, 2153, 11080, 2098, 4027, 1010, 2040, 2001, 2011, 2085, 2343, 1010, 2004, 2092, 2004, 2280, 2343, 2508, 7063, 1010, 2119, 1999, 2251, 11040, 1012, 2002, 2777, 2116, 1997, 1996, 2576, 4177, 1997, 1996, 2154, 1010, 2040, 2020, 7622, 2011, 2010, 9668, 1012, 2426, 2122, 13010, 2001, 1996, 2280, 3580, 2343, 1010, 2148, 3792, 5205, 2198, 1039, 1012, 22982, 1012, 1999, 2251, 10212, 1010, 15179 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.028714246330150642, 0.003572934649190826, 0.0048639185523951835, 0.00569280256125423, 0.00004103067156910722, 0.14645162348984722, 0.0004074639035388997, 0.11937628970490845, 0.00013196144572188398, 0.005445973590110568, 0.00980970802575351, 0.005166488080674667, 0.00010119602998766635, 0.08663322539510358, 0.14222224018207535, 0.00008390709386920029, 0.011573158596901568, 0.001723222455751228, 1.004411879179407e-8, 0.03315058703659319, 0.000037626172752778515, 0.03596481256574603, 0.03109703294181288, 0.000008442664539511305, 0.0665018565783064, 0.0007255395050877836, 0.0017953589940136753, 0.07752217422142306, 0.026383678528827025, 0.021389287254944715, 0.00027997744401863067, 0.0007269913416394988, 0.0060486674588501104, 0.000007995339612755046, 0.0009601657362309377, 0.03300889256007817, 0.03792830699468224, 0.00034213402132379, 0.00017236840464564013, 0.005075296035243424, 0.01344242046456385, 0.0008318005299397881, 0.00001139056554951359, 1.004411879179407e-8, 0.011480787067378867, 0.0000188994428306264, 0.0147974435643166, 0.00008878182003652638, 0.0033760966287092018, 0.004813777269261514 ]
[ 2015, 1005, 4236, 2649, 1037, 2146, 6305, 2890, 23501, 1010, 1000, 2028, 1997, 1996, 10418, 9908, 1997, 2137, 12607, 1999, 1996, 2396, 1000, 1012, 102, 101, 2146, 6305, 2890, 2018, 2496, 13234, 25931, 2229, 1999, 12309, 1025, 2090, 11517, 1010, 2043, 2037, 2684, 4532, 2001, 2141, 1010, 1998, 8905, 1010, 2027, 2018, 2093, 3337, 1998, 2048, 3057, 1012, 4341, 1997, 1996, 3916, 2474, 15567, 2349, 2000, 1996, 6634, 1997, 9713, 1025, 2146, 6305, 2890, 2001, 3140, 2000, 13520, 10528, 1998, 3604, 2083, 1996, 2670, 1998, 13608, 11795, 2163, 1010, 21877, 21814, 2010, 2808, 2013, 2237, 2000, 2237, 1010, 2007, 2010, 2564, 1998, 6422, 2684, 6605, 7829, 1998, 16156, 2012, 2188, 1012, 2101, 1999, 9713, 1010, 2002, 2001, 2583, 2000, 2709, 2000, 4407, 1998, 2330, 1037, 2924, 22074, 23501, 3813, 2007, 5826, 1010, 2327, 9739, 1010, 23641, 1010, 2146, 6305, 2890, 1004, 2522, 1012, 2007, 2307, 5157, 2005, 23501, 2005, 3964, 2108, 3843, 2011, 2110, 5085, 1010, 1996, 3813, 4013, 17668, 2098, 1010, 1998, 2018, 4822, 2012, 3438, 18489, 2395, 1999, 4407, 1998, 1037, 3589, 2012, 1015, 2813, 2395, 1999, 2047, 2259, 1012, 2429, 2000, 4586, 1010, 2146, 6305, 2890, 2001, 2124, 2004, 1996, 2190, 27771, 1999, 1996, 2406, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2146, 6305, 2890, 28611, 1010, 12552, 1516, 9730, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 2708, 27771, 1006, 9730, 1516, 7845, 1007, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 6098, 1027, 1027, 1027, 102, 101, 102, 101, 2175, 13578, 10143, 1005, 1055, 2331, 1999, 2251, 9730, 2187, 1996, 2142, 2163, 4879, 1997, 1996, 12927, 1006, 3227, 1010, 1000, 12927, 1000, 1007, 2302, 1037, 2708, 27771, 1012, 2426, 2216, 2040, 5113, 2005, 6098, 2020, 4407, 2924, 22074, 27771, 2798, 6124, 1010, 1998, 5297, 7723, 1010, 2040, 2018, 14440, 1996, 12927, 1005, 1055, 3101, 2005, 2280, 2343, 2198, 16141, 5922, 1012, 2083, 1996, 3747, 1997, 5205, 22982, 1010, 2174, 1010, 2146, 6305, 2890, 7119, 1996, 6098, 1012, 2429, 2000, 9226, 5272, 2123, 23726, 2100, 1010, 2146, 6305, 2890, 2106, 2025, 3535, 2000, 5114, 1996, 2490, 1997, 12927, 2472, 2728, 1049, 1012, 12424, 1999, 6224, 1996, 6098, 2013, 2343, 2198, 7482, 1010, 1998, 1000, 2065, 12424, 27188, 1996, 7263, 1010, 2174, 1010, 2002, 2001, 2062, 11654, 2011, 7723, 1005, 1055, 12324, 19496, 7368, 1012, 1000, 102, 101, 2146, 6305, 2890, 2001, 4837, 2011, 2343, 7482, 2006, 2244, 2385, 1010, 9730, 1025, 2010, 2001, 1037, 28290, 6098, 2004, 1996, 2695, 1997, 2708, 27771, 3223, 4001, 13964, 1010, 1998, 2008, 2303, 2001, 2025, 2059, 3564, 1012, 7482, 11860, 2146, 6305, 2890, 1005, 1055, 6488, 2000, 1996, 4001, 2006, 2285, 2459, 1010, 9730, 1010, 2029, 4484, 2146, 6305, 2890, 2302, 2680, 4559, 2006, 2254, 1021, 1010, 9512, 1012, 2429, 2000, 16371, 26725, 10450, 3367, 2585, 21395, 1010, 2146, 6305, 2890, 2001, 5580, 2000, 2131, 1996, 2597, 2138, 27771, 2015, 2020, 4909, 2625, 2147, 2349, 2000, 1996, 13896, 1997, 4830, 9077, 18933, 13874, 5855, 1012, 102, 101, 2429, 2000, 9226, 11033, 1998, 3166, 1053, 1012, 2585, 6812, 2545, 1010, 2588, 6098, 2004, 2708, 27771, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.06783920650933471, 0.018017701950002192, 0.0009070219557836285, 0.006480279173370676, 0.011371920906576018, 0.01672085943085823, 0.08886050742484722, 0.0001926356782646492, 0.05039130835080974, 0.021018370551960597, 0.03231464684706298, 0.02099669971002929, 0.08264710611989248, 0.052803448316680206, 0.00040172917452132765, 0.000050644632145906894, 0.0012433069942591661, 0.009977151118362051, 0.0051195687010674494, 0.0019241330855558532, 0.0013823792229857028, 0.0017143458347076799, 0.00022722548694243744, 0.0038047935542891566, 0.12227871523864425, 0.01695560040710112, 0.0006538392779716763, 0.0001748002724433949, 0.0000805106181710263, 0.0037036723486699092, 0.0004974193086712869, 0.040672489875262736, 0.001961777979443149, 0.0004954930715164878, 0.011688886800769956, 0.023596767399269195, 0.004738747167137158, 0.002005644065851787, 0.001976400470236241, 0.07087758267604548, 0.018735848796495615, 0.06470861063906824, 0.010711208240164086, 0.0011402755676328082, 0.004061766915030245, 0.02504442376423072, 0.06538972779625199, 0.00002525299761665845, 0.0008469963926967123, 0.010570551183298721 ]
[ 2146, 6305, 2890, 1000, 2179, 2008, 2002, 2018, 3133, 1037, 26795, 1005, 1055, 9089, 1997, 20014, 27611, 1010, 4331, 1010, 1998, 1999, 22158, 1010, 6817, 2011, 5951, 26034, 2571, 1010, 2708, 9226, 2121, 2144, 10011, 1000, 1012, 26034, 2571, 2741, 12927, 5073, 2000, 2147, 2006, 2010, 2797, 5039, 1010, 1998, 1999, 2804, 2000, 2010, 2880, 5704, 1517, 3262, 2864, 2011, 2010, 8646, 1010, 4205, 14925, 2243, 8151, 2102, 1010, 2040, 2506, 1999, 2010, 2147, 2302, 3477, 2750, 2010, 5075, 1517, 2002, 2018, 1037, 20319, 2217, 2449, 8225, 8289, 2005, 2797, 6665, 2478, 2231, 4219, 1012, 26034, 2571, 4758, 3229, 2000, 8289, 1998, 4475, 1010, 1998, 2001, 2485, 2000, 2472, 12424, 1025, 1996, 2048, 2273, 2101, 4928, 2000, 2031, 2042, 8301, 25057, 3384, 2013, 7087, 3258, 10042, 1012, 1996, 3588, 12927, 3738, 2020, 13675, 10698, 2229, 1997, 12424, 1010, 1998, 2146, 6305, 2890, 2179, 2370, 1037, 10459, 2099, 2426, 2068, 1012, 4787, 21986, 2078, 1010, 1999, 2010, 7721, 3872, 2006, 1057, 1012, 1055, 1012, 7824, 1010, 6083, 2008, 12424, 27188, 2146, 6305, 2890, 2138, 1997, 1996, 27771, 1005, 1055, 12026, 2011, 22982, 1010, 3183, 1996, 2472, 18966, 2004, 1037, 2670, 2121, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 12424, 1013, 26034, 2571, 2086, 1006, 9730, 1516, 8933, 1007, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 2146, 6305, 2890, 1005, 1055, 2034, 2086, 2004, 2708, 27771, 1010, 2053, 2434, 5617, 2020, 3223, 2005, 7824, 1012, 2175, 13578, 10143, 2018, 17051, 2296, 18683, 1997, 1057, 1012, 1055, 1012, 25396, 2090, 10150, 1998, 10008, 1010, 1998, 2010, 6332, 2018, 2051, 2000, 4553, 2840, 4072, 2005, 9226, 2537, 2008, 2002, 2018, 2025, 2734, 2004, 1037, 9338, 1997, 6140, 28611, 1012, 2122, 2840, 2443, 9226, 2640, 1010, 2437, 1997, 17957, 2005, 2640, 3787, 1010, 1998, 3280, 10186, 1012, 2146, 6305, 2890, 1005, 1055, 2147, 1999, 1996, 2797, 4753, 2018, 2920, 6276, 3210, 2046, 1037, 6967, 5127, 2029, 2001, 2059, 2109, 2000, 6140, 14627, 2015, 1012, 12424, 2626, 1999, 2257, 9512, 2000, 9837, 3187, 2728, 1046, 1012, 5232, 2008, 2146, 6305, 2890, 1000, 2003, 1037, 10170, 1997, 6581, 2839, 1010, 3811, 5240, 1999, 2023, 2451, 1010, 1998, 2038, 3734, 2070, 8958, 2004, 2019, 27771, 1997, 6967, 1025, 2021, 2002, 2003, 2025, 1037, 3280, 1030, 1011, 1030, 7752, 2121, 1012, 5262, 1045, 2079, 2025, 2113, 2008, 2002, 2038, 2412, 2081, 2019, 3535, 1999, 2023, 2396, 1012, 1000, 2011, 2285, 1997, 2008, 2095, 1010, 1996, 12927, 2472, 2018, 2517, 2000, 5232, 1999, 8489, 1997, 2146, 6305, 2890, 1010, 5517, 2008, 1996, 27771, 2018, 1000, 2062, 5510, 1998, 8689, 1999, 2437, 5733, 2005, 2019, 5301, 25396, 2182, 2084, 2031, 2042, 8176, 2011, 2151, 1997, 2010, 16372, 1012, 2002, 2038, 3491, 2205, 2008, 2002, 2003, 3243, 17824, 2000, 2191, 1996, 3223, 2944, 2013, 2010, 9254, 1012, 1000, 23726, 2100, 7108, 12424, 1005, 1055, 22689, 8489, 1997, 2146, 6305, 2890, 2000, 2506, 4740, 2011, 7723, 2000, 5114, 1996, 2695, 1997, 2708, 27771, 1012, 102, 101, 1037, 2193, 1997, 14154, 11563, 2015, 2064, 2022, 2464, 2426, 1996, 2220, 7824, 2550, 2012, 1996, 12927, 2104, 2146, 6305, 2890, 1010, 2295, 2009, 2003, 9662, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 1.1864665896816847e-7, 0.030373982239766572, 0.03575266741442738, 0.01566327701763529, 0.014673387582076116, 0.05588636785071258, 0.00004325712819192072, 0.0009731055972395787, 0.0014803544033151804, 0.00022201863355753083, 0.018976829154485272, 0.04282743743942826, 0.003485566417549285, 8.87479571329716e-9, 0.10051329434109439, 0.0008937881443455229, 0.006473008349713935, 0.0006434865070826137, 8.87479571329716e-9, 0.000018433209834610548, 0.0016242731121140575, 0.02754969840011818, 0.004425667172935514, 0.00000417873728203625, 8.87479571329716e-9, 0.0015459987678434275, 0.011016801648151253, 0.0021927488919342986, 0.07299555946578502, 0.024360449641872357, 0.0011358262706700304, 0.00021089033421963733, 0.047848641105121464, 0.019435067113204904, 0.0756596860660159, 0.152179434605493, 0.011798208600042015, 0.00005904735357078059, 8.87479571329716e-9, 0.00004821272883736003, 0.0059323300324618305, 0.0019096642004066047, 0.000008561944591304573, 0.03591358625788249, 0.09343607472328003, 0.0001396610954268697, 0.000690265229948833, 0.036311968755415036, 0.03986587088829167, 0.0028012112807861865 ]
[ 3183, 2122, 10697, 2323, 2022, 7108, 1012, 2122, 2421, 1996, 9730, 2431, 7922, 4930, 2012, 1996, 2047, 5979, 12927, 1006, 9730, 1030, 1011, 1030, 1051, 1007, 2007, 1037, 11515, 3058, 1010, 1998, 1996, 9244, 2431, 7922, 2007, 1996, 1020, 15241, 2075, 2019, 7235, 15340, 1010, 2021, 2028, 2029, 2018, 2042, 2872, 23190, 1012, 6812, 2545, 7127, 2008, 2146, 6305, 2890, 3497, 11849, 2094, 2107, 2147, 1010, 2348, 1999, 9037, 2002, 2626, 2008, 2010, 3679, 2147, 2001, 19477, 5246, 2046, 2551, 8289, 1012, 3419, 3972, 5686, 2100, 1010, 1999, 2010, 2494, 3720, 2006, 2146, 6305, 2890, 1010, 3964, 2008, 26034, 2571, 1998, 2010, 3095, 2411, 2081, 17957, 2302, 10552, 1996, 27771, 1005, 1055, 2533, 1006, 3753, 2011, 2146, 6305, 2890, 1007, 1010, 1998, 7164, 1996, 2708, 9226, 2121, 2062, 3497, 2000, 2022, 3625, 1012, 102, 101, 2750, 1996, 5338, 7224, 2012, 1996, 4407, 12927, 1010, 2146, 6305, 2890, 9511, 4736, 2007, 12424, 1998, 26034, 2571, 2127, 2233, 9037, 1010, 2043, 3519, 9362, 1037, 2751, 7922, 1998, 3313, 6755, 2030, 3174, 1030, 1011, 1030, 7922, 2751, 3538, 1010, 2119, 2047, 7824, 1012, 2011, 2059, 1010, 12424, 2018, 2272, 2000, 4792, 2146, 6305, 2890, 1005, 1055, 6712, 2004, 2002, 2001, 8357, 1037, 5081, 2000, 26034, 2571, 1005, 1055, 3101, 2449, 1010, 1998, 4941, 2047, 7824, 2029, 2052, 5478, 1996, 2708, 27771, 1005, 1055, 4813, 1012, 2429, 2000, 2957, 4586, 1999, 2010, 2338, 2006, 3909, 6755, 1998, 2796, 2132, 16653, 1010, 1000, 2383, 2019, 12962, 2708, 27771, 5561, 2037, 2217, 4179, 1012, 1000, 1996, 4736, 2234, 2058, 1996, 2224, 1997, 1996, 9530, 15464, 2378, 6533, 2474, 10760, 1010, 4072, 1999, 1996, 2437, 1997, 8289, 2119, 2005, 2146, 6305, 2890, 1999, 5155, 1996, 2047, 7824, 1998, 26034, 2571, 1999, 2010, 3101, 2449, 1012, 2043, 2146, 6305, 2890, 10865, 2008, 26034, 2571, 2001, 18847, 18155, 6026, 1996, 5080, 1010, 26034, 2571, 2787, 2000, 20223, 2146, 6305, 2890, 1005, 1055, 9226, 2147, 1998, 2031, 2032, 3718, 2013, 2010, 2597, 1012, 102, 101, 1999, 2220, 9037, 1010, 2429, 2000, 1037, 3661, 2517, 2011, 2146, 6305, 2890, 1996, 2206, 2095, 1010, 1996, 2708, 27771, 2001, 5411, 2011, 1037, 2266, 1997, 1996, 12927, 3095, 1010, 5432, 2032, 2008, 2178, 2961, 1006, 24250, 26034, 2571, 1007, 4912, 2000, 2031, 1996, 23501, 2147, 2589, 2648, 1997, 1996, 12927, 1010, 2437, 2146, 6305, 2890, 21707, 1012, 1996, 2648, 27771, 1999, 3160, 2001, 26529, 3434, 8945, 22909, 2102, 1010, 3183, 12424, 2018, 7374, 1037, 2640, 2005, 1996, 2431, 6755, 1010, 2295, 2009, 2001, 2025, 4233, 1012, 2146, 6305, 2890, 1005, 1055, 3433, 2000, 1996, 2592, 2001, 2000, 5247, 2172, 1997, 2233, 9037, 8225, 1996, 8289, 2005, 1996, 2751, 7922, 1010, 2012, 2070, 3465, 2000, 2010, 2740, 1010, 2004, 2002, 2101, 3141, 1012, 2002, 6303, 2008, 12424, 10887, 5375, 2005, 2032, 1010, 2021, 2179, 1996, 2472, 5627, 2069, 2000, 2031, 2147, 11016, 2041, 1012, 2146, 6305, 2890, 2001, 15175, 2000, 9619, 2000, 2023, 1010, 2004, 2002, 2071, 2025, 28589, 2147, 2589, 2648, 1996, 12927, 1006, 2002, 2106, 2131, 2393, 2306, 1996, 12927, 2013, 3353, 27771, 2848, 10882, 20051, 2890, 2226, 2892, 1010, 2040, 2499, 2006, 1996, 7901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000025965707838706702, 0.000008112891499555484, 0.0040307429758311124, 0.020334415256923068, 8.78830653815337e-9, 0.0021217845695608475, 0.030994267725567196, 0.00024171758227253115, 0.027563877263182393, 0.038812203617669704, 0.0006963168768530942, 8.788168665869026e-9, 0.0035124148488130807, 0.0025615601476905547, 0.058762635228181474, 0.001602544779936068, 0.08463838126410328, 0.005543090513242252, 0.12549362677193965, 0.00003362799113668781, 0.043313406988852915, 0.005732515971174134, 0.015187801903608045, 0.00011249931009245948, 0.001386912674703262, 0.0008311309459923133, 0.029784518105855383, 0.08476097498461702, 0.0000010417080473785682, 0.014687654959932695, 0.07083791794442777, 0.056735404174057674, 0.1281359439044733, 0.0009058454578409528, 0.006343579884149054, 0.002804311472098979, 0.000020909920551686273, 0.000583067483928931, 0.02927996557669005, 0.0014180949458700864, 0.01721957182910748, 0.0004678107445975743, 0.0029704090603674084, 0.0000050148581681986495, 0.02252850341088416, 0.04377967059848012, 0.0014911816806348376, 0.011154152391292225, 0.00038158308274351154, 0.0001613004380438875 ]
[ 1997, 1996, 2751, 7922, 1007, 1012, 2146, 6305, 2890, 8979, 2007, 2147, 2006, 1996, 3313, 6755, 2083, 2397, 9037, 1010, 1998, 2649, 1996, 15314, 2275, 1999, 2010, 4130, 2011, 26034, 2571, 1024, 102, 101, 1996, 2933, 1997, 3169, 3479, 2005, 2033, 2001, 2000, 2031, 2019, 16175, 13874, 9587, 21285, 2081, 2013, 2026, 2944, 1010, 1999, 6967, 1010, 2000, 3710, 2004, 1037, 5418, 2005, 1037, 3459, 1999, 3707, 1012, 1996, 3136, 1997, 1996, 14891, 27760, 2278, 6046, 2005, 2023, 3800, 2020, 4146, 1999, 1996, 9620, 1997, 1996, 2708, 9226, 2121, 1012, 1996, 14891, 27760, 2278, 2832, 3478, 1010, 2026, 2944, 2001, 3908, 1999, 1996, 3169, 1012, 1045, 2018, 1010, 2174, 1010, 2579, 1996, 3653, 3540, 13700, 2000, 2191, 1037, 3459, 1999, 15673, 1012, 1012, 1012, 2013, 2023, 3459, 1010, 2004, 1996, 2069, 4522, 1010, 1045, 4013, 10841, 20529, 1031, 14387, 1033, 1037, 12392, 2028, 2029, 1010, 2174, 1010, 2001, 2025, 3819, 1025, 2021, 1045, 2245, 1045, 2323, 2022, 2583, 2000, 6149, 1996, 29238, 8496, 1999, 1996, 23501, 1997, 1996, 3280, 1012, 1012, 1012, 2023, 2001, 1037, 4450, 6313, 4708, 1010, 2021, 2161, 8231, 2949, 1010, 4498, 2011, 2026, 2219, 2192, 1012, 1996, 3280, 2059, 2018, 2000, 2022, 15015, 1999, 1996, 9226, 2075, 2533, 1025, 2009, 4895, 7630, 18009, 2135, 3975, 1999, 1996, 2832, 1012, 102, 101, 2043, 2146, 6305, 2890, 2949, 1996, 3313, 6755, 8289, 1010, 2027, 2020, 5837, 2011, 26034, 2571, 1010, 2040, 3090, 2008, 1996, 2640, 2001, 16328, 2205, 6171, 2000, 3929, 17894, 1996, 9226, 1010, 1998, 1996, 4109, 2052, 2025, 9991, 7919, 1012, 23726, 2100, 1010, 2174, 1010, 3264, 2008, 1996, 2028, 6405, 9037, 3313, 6755, 8834, 2053, 2107, 3471, 1010, 1998, 2011, 3311, 2052, 2022, 2504, 1999, 1037, 9991, 1012, 26034, 2571, 10865, 2000, 12424, 1010, 2040, 2626, 2000, 9837, 3187, 2520, 1049, 1012, 10635, 4851, 2005, 2146, 6305, 2890, 1005, 1055, 8208, 2006, 2285, 2423, 1010, 9037, 2006, 1996, 2598, 2002, 2071, 2025, 2191, 5372, 8289, 1012, 12424, 2008, 2154, 5763, 1996, 2597, 2000, 27771, 2798, 12731, 12227, 6119, 1010, 4621, 2043, 2146, 6305, 2890, 2001, 28368, 1012, 10635, 8781, 3251, 1037, 17824, 6110, 2071, 2022, 2179, 1025, 12424, 8916, 2032, 2008, 2028, 2071, 1012, 2146, 6305, 2890, 15959, 2000, 12424, 2008, 26034, 2571, 2001, 29391, 9920, 1997, 8001, 3313, 6755, 8289, 1010, 1996, 2472, 2106, 2025, 7514, 1999, 3015, 1010, 2021, 2777, 2007, 2146, 6305, 2890, 1010, 2409, 2032, 1996, 3447, 2018, 2787, 2000, 20320, 2032, 1010, 1998, 2008, 2002, 2323, 4604, 1999, 2010, 8172, 2302, 8536, 1012, 2146, 6305, 2890, 1010, 2044, 3241, 1996, 3043, 2058, 1010, 2106, 2025, 2079, 2061, 1010, 2021, 2612, 2253, 2000, 2899, 2006, 2337, 2260, 1010, 7973, 2000, 3113, 2007, 10635, 1012, 2002, 2179, 2008, 1996, 3187, 2018, 2042, 9828, 2000, 2055, 1037, 2193, 1997, 5609, 1012, 2429, 2000, 4586, 1010, 2146, 6305, 2890, 2106, 2025, 6148, 25928, 1010, 4180, 2000, 2022, 3039, 2000, 3613, 2010, 2147, 1999, 3521, 1012, 1996, 3313, 6755, 2253, 2046, 2537, 1999, 2233, 7973, 1010, 2295, 12424, 10865, 2008, 1996, 7824, 2106, 2025, 4894, 2092, 1012, 1996, 3313, 6755, 2855, 2150, 1996, 12287, 2126, 2000, 2907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.046033997517081544, 0.10495982098660984, 9.370314842579754e-9, 0.01778901774786489, 0.025092241320976004, 0.03081853579501215, 0.0025480649826278966, 0.0020352493245409803, 0.002549176249159415, 0.0009710802710792839, 0.0019472608458191744, 0.00009574105921765012, 9.370314842579754e-9, 0.01363690357141881, 0.06755548111230397, 0.00359700411939649, 0.004564090492563649, 0.0001654293910291498, 0.019564783034677003, 0.026004068184599733, 0.00007462227209271883, 0.1447087921014104, 0.07068132536396339, 0.00023646678489033833, 0.00007675066698704987, 0.07240728395538502, 0.005507197313264979, 0.0000837028315153885, 0.001790803157399164, 0.00813188352253286, 0.00840679785175191, 0.0000895444472557643, 0.03522037015714234, 0.004522426444337103, 0.0017666299968541659, 0.0012171613939130764, 0.0000553296914100503, 0.002387873007391328, 0.0946719900796924, 0.008264780999644216, 0.03954091822208799, 0.04811615193090706, 0.003162120401021945, 9.370314842579754e-9, 9.370314842579754e-9, 0.04990247582369652, 0.028076615651637323, 9.370314842579754e-9, 0.00002371697562408955, 0.000948276098639678 ]
[ 2751, 1010, 1998, 1999, 1996, 2086, 2000, 2272, 2062, 2751, 2052, 2022, 4930, 2046, 3313, 8125, 2084, 2046, 2035, 2060, 17384, 4117, 1012, 102, 101, 12424, 2626, 2153, 2000, 5227, 2146, 6305, 2890, 1005, 1055, 15068, 6238, 2006, 2258, 1015, 1010, 7973, 1010, 23294, 2008, 2343, 19474, 4202, 2018, 2787, 2008, 2146, 6305, 2890, 2022, 7219, 1012, 2750, 2122, 4740, 1010, 2146, 6305, 2890, 2815, 1999, 2010, 2597, 1012, 2036, 1999, 7973, 1010, 2146, 6305, 2890, 1005, 1055, 2564, 3870, 1006, 3227, 13234, 1007, 2351, 1012, 1996, 12927, 4584, 22600, 2153, 1999, 8792, 1010, 2044, 3519, 9362, 1037, 3165, 2093, 1030, 1011, 1030, 9358, 3538, 1012, 2146, 6305, 2890, 4810, 1037, 2640, 4760, 1037, 2732, 2006, 2028, 2217, 1998, 1996, 3142, 16371, 28990, 3523, 2006, 1996, 2060, 1010, 2029, 3322, 2180, 12424, 1005, 1055, 6226, 1012, 26034, 2571, 1010, 2174, 1010, 11766, 12424, 2000, 2689, 2010, 2568, 1998, 3166, 4697, 1996, 2708, 9226, 2121, 2000, 16599, 1037, 2544, 2370, 1010, 24731, 2640, 3787, 2175, 13578, 10143, 2018, 2109, 1999, 10081, 1012, 1996, 3277, 2001, 7864, 2000, 1996, 2047, 9837, 3187, 1010, 2726, 2522, 27349, 1010, 2040, 3479, 2146, 6305, 2890, 1005, 1055, 6378, 1517, 2146, 6305, 2890, 2018, 2579, 1996, 3653, 3540, 13700, 1997, 6016, 1996, 3187, 1037, 3661, 9990, 2010, 13425, 1012, 102, 101, 1999, 2251, 8792, 1010, 12424, 3394, 1998, 2343, 6039, 5974, 2999, 2032, 2007, 2726, 14925, 5484, 2102, 1012, 26034, 2571, 1005, 1055, 3101, 2449, 4265, 1037, 2275, 5963, 2043, 4205, 14925, 2243, 8151, 2102, 1010, 2040, 2001, 2145, 4488, 1996, 5704, 1997, 2708, 9226, 2121, 1010, 2351, 1999, 8784, 1012, 1999, 8421, 1010, 12927, 2472, 2508, 5811, 4586, 4181, 5045, 26034, 2571, 2044, 1996, 6698, 2000, 2029, 2002, 2018, 2109, 12927, 4450, 2005, 2797, 5114, 2150, 2270, 1012, 6600, 1010, 1996, 7493, 3303, 6196, 2811, 3086, 1010, 1037, 4001, 4812, 1010, 1998, 1037, 2312, 5157, 2005, 9430, 2011, 26034, 2571, 1012, 2007, 2010, 6716, 2908, 1010, 2166, 2012, 1996, 12927, 5301, 2005, 2146, 6305, 2890, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 2220, 7824, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 12807, 5859, 1006, 8933, 1516, 6899, 1007, 1027, 1027, 1027, 102, 101, 102, 101, 4320, 2007, 1037, 4125, 1999, 3165, 7597, 1010, 3519, 10548, 1996, 3165, 4180, 1997, 1996, 2431, 27211, 1010, 27211, 1010, 4284, 1998, 2431, 7922, 1999, 8933, 1012, 2146, 6305, 2890, 2001, 2356, 2000, 11477, 2175, 13578, 10143, 1005, 1055, 5617, 2061, 2047, 7824, 2071, 2022, 5182, 2013, 2214, 1012, 2002, 3818, 6885, 9938, 2105, 1996, 28867, 6755, 2006, 1996, 7901, 2015, 1997, 1996, 4284, 1998, 2431, 7922, 1010, 1998, 12563, 2011, 1996, 3058, 2005, 2035, 1997, 1996, 5360, 17384, 1012, 2004, 1996, 2552, 9034, 1996, 7312, 1999, 3635, 3039, 1996, 12927, 2000, 10887, 2648, 3324, 2000, 2079, 1996, 2147, 1010, 4586, 4181, 3039, 2005, 2270, 5617, 2005, 1996, 2047, 4109, 1012, 2053, 2270, 4443, 2001, 2179, 7218, 1010, 1998, 2146, 6305, 2890, 1005, 1055, 6378, 2001, 4233, 1012, 1996, 9938, 11121, 2000, 2460, 2368, 3280, 2166, 1998, 2020, 3333, 2306, 1037, 2095, 1025, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1, 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 ]
[ 0.010046128134722854, 0.006428152479471113, 9.712773851659831e-9, 0.007379519314155196, 0.001598902568374589, 0.013589002352729052, 0.0000026632085229978166, 0.002955651823415838, 0.015251739672502646, 0.0011549513042213358, 0.07338242397948518, 0.013680997643996898, 0.00005669481826291746, 0.011443934978849716, 0.056907729716402206, 0.0014350411959795464, 0.01259539364078418, 0.1588388960673583, 0.0007551573124065074, 0.00008450021350090338, 0.00003612341003856347, 0.0069483767685416, 0.022979957659070082, 0.0002558237917341613, 0.06501925828658034, 0.005862170834241541, 0.16308772429035043, 0.00582503413909517, 0.046217156573810196, 0.000011116952370346248, 0.021399345666465956, 0.008726993181087293, 0.0016124506073368382, 0.09316128031740938, 0.00007239258979405034, 0.000019611316019180617, 0.00027621865084938654, 0.00005737634726912275, 0.007551850034587855, 0.000504734611513225, 0.005918695450619404, 9.712773851659831e-9, 0.01611612219317489, 0.00034362194766909094, 0.019240928925360112, 0.004033179604879641, 0.010474845666577047, 0.00000662307738000706, 0.1061231733592052, 0.0005303138962803131 ]
[ 12563, 2020, 4487, 13102, 16700, 2094, 2007, 2044, 8492, 1012, 102, 101, 1999, 8933, 1010, 3519, 9362, 1037, 2093, 1030, 1011, 1030, 7922, 3538, 1012, 1999, 1037, 3602, 2179, 2426, 2010, 4981, 1010, 2146, 6305, 2890, 2626, 2008, 2010, 4708, 2001, 2000, 2191, 1996, 9226, 2004, 3733, 2004, 2825, 2000, 10782, 2013, 1996, 4284, 6755, 1010, 2029, 2012, 1002, 1016, 1030, 1012, 1030, 2753, 2001, 2485, 1999, 3643, 1012, 2146, 6305, 2890, 2550, 1037, 2640, 2005, 2019, 3128, 2137, 4615, 1010, 2029, 2002, 2081, 2367, 2013, 2175, 13578, 10143, 1005, 1055, 7044, 2640, 2006, 1996, 4284, 6755, 2007, 1037, 23082, 1998, 7289, 2933, 20318, 1012, 2012, 1996, 2051, 1010, 1037, 2931, 3128, 2137, 2001, 2411, 2109, 2000, 5050, 2637, 1999, 2396, 1010, 1998, 1037, 15921, 1997, 7044, 2004, 2019, 2796, 4615, 2001, 1999, 15802, 2007, 3824, 6078, 1012, 1996, 2708, 27771, 2626, 2000, 12927, 2472, 4586, 4181, 2008, 1996, 2093, 1030, 1011, 1030, 7922, 3538, 1010, 2029, 2253, 2046, 2537, 1999, 8421, 1010, 2001, 1996, 2034, 2051, 2002, 2018, 2042, 3039, 6018, 4071, 1999, 12697, 1037, 9226, 1012, 1996, 2751, 7922, 2001, 8776, 1996, 2168, 2095, 2000, 2191, 1996, 2933, 20318, 2119, 23082, 1998, 7289, 1025, 2146, 6305, 2890, 6310, 2010, 4615, 2640, 2005, 1996, 2751, 7922, 1012, 2005, 1996, 7901, 1997, 1996, 7824, 1010, 2146, 6305, 2890, 2580, 1037, 29586, 1997, 10500, 1010, 9781, 1010, 9098, 1010, 1998, 6557, 1010, 23293, 1996, 4910, 3688, 1997, 1996, 2167, 1998, 1996, 2148, 1012, 2023, 29586, 2052, 2036, 2022, 2109, 2006, 1996, 7901, 1997, 1996, 3909, 6755, 9358, 1999, 8708, 1025, 26513, 2006, 1996, 27211, 2927, 1999, 7313, 1010, 1996, 1000, 20943, 29586, 1000, 2052, 2022, 2146, 6305, 2890, 1005, 1055, 2197, 6405, 2640, 2006, 25396, 1010, 3588, 2007, 12719, 2127, 1996, 4947, 22290, 1997, 1996, 13362, 27211, 1012, 102, 101, 1999, 1996, 3054, 1030, 1011, 1030, 16488, 1010, 2146, 6305, 2890, 2001, 5117, 2011, 1996, 3212, 2533, 2000, 2640, 1037, 3101, 2000, 2022, 3591, 2000, 2952, 7343, 13749, 10404, 3286, 1012, 2146, 6305, 2890, 2550, 1996, 13425, 2109, 2005, 1996, 7901, 1025, 1996, 27885, 16070, 2001, 2011, 3353, 27771, 2892, 1012, 2348, 6812, 2545, 5577, 2146, 6305, 2890, 2004, 2383, 2042, 1000, 9975, 12962, 1999, 1996, 5704, 1997, 2010, 2436, 1000, 1010, 2043, 1996, 9837, 2533, 4342, 2008, 2146, 6305, 2890, 3970, 1037, 1002, 1016, 1030, 1010, 1030, 3263, 7909, 2013, 1996, 3212, 2005, 2010, 2147, 1010, 2027, 3223, 2008, 2002, 24565, 1996, 2769, 2104, 1037, 2976, 2375, 19820, 2075, 9430, 1997, 2023, 2785, 1012, 2060, 2084, 2010, 2640, 2005, 1996, 7517, 4632, 4710, 3222, 3101, 1010, 1998, 2010, 2714, 1010, 29586, 2098, 7901, 2015, 2005, 1996, 3222, 6665, 1999, 7313, 1010, 6863, 1010, 1998, 7582, 1010, 1996, 13749, 10404, 3286, 2147, 2001, 2146, 6305, 2890, 1005, 1055, 2069, 3101, 2081, 2005, 1996, 2231, 1012, 102, 101, 2044, 1037, 4125, 1999, 19502, 7597, 1010, 1996, 12927, 2000, 4912, 2000, 5672, 1996, 2312, 6967, 9358, 2007, 1037, 3760, 2544, 1012, 2927, 1999, 7973, 1010, 1037, 2193, 1997, 5418, 7824, 2020, 4930, 1999, 4740, 2000, 2424, 1037, 6110, 9226, 1012, 5617, 1998, 11630, 9426, 1025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 9.188642837453923e-9, 0.0003925588188398373, 0.10577406022431333, 0.000014539394097325975, 0.000003840500415979661, 0.03331479884340752, 0.08048181358562463, 0.0004925922291150595, 0.000224798103138523, 0.13924965789979826, 0.00017016793123617578, 0.041180851151197094, 2.9798818640812935e-7, 0.0001076954092459768, 9.188642837453923e-9, 0.07752285861945371, 0.009211452112473198, 0.0025233858092067996, 0.00017262188597813572, 0.00027119359341624114, 0.000008903078576337442, 0.003386554092323131, 0.028194002895329882, 0.0034732765436638817, 0.00023443168229844212, 0.07300083754468396, 0.09316581342472133, 0.006568064184189539, 0.004729063076140156, 0.049485947849365566, 9.188642837453923e-9, 0.0008289374854958069, 0.06668784732431374, 0.08898680475729528, 9.188642837453923e-9, 0.000054894875012701734, 0.0010282896832371547, 0.00035887590947696166, 0.0005780399743355329, 0.004192390613644697, 0.059368026961504734, 0.007734298417797668, 0.00001379490331735351, 0.00029993110972093766, 0.0006233504467340049, 9.188642837453923e-9, 7.038889363488937e-7, 0.003987807098674692, 0.009540514232863425, 0.0023593679039884572 ]
[ 2012, 2034, 1010, 12927, 4614, 2641, 2019, 5754, 7934, 1010, 2030, 4920, 2094, 1010, 9358, 1012, 1999, 8421, 1998, 8492, 1010, 2172, 21470, 2001, 2589, 1010, 2070, 2007, 1037, 7044, 2132, 2640, 2004, 2956, 2006, 1996, 2312, 9358, 1025, 2500, 2007, 1037, 3909, 6755, 2640, 5967, 2011, 2146, 6305, 2890, 2013, 1996, 2175, 13578, 10143, 7922, 1997, 10081, 1012, 2175, 13578, 10143, 1005, 1055, 2640, 2056, 2000, 2031, 2042, 14440, 2006, 2848, 1996, 6755, 1010, 1037, 24763, 4743, 2029, 24832, 1996, 4407, 12927, 1999, 1996, 20400, 2127, 2009, 2001, 3236, 2039, 1999, 10394, 1998, 2730, 1025, 2848, 1010, 1999, 11812, 2433, 1010, 2001, 3525, 2872, 2006, 8327, 2012, 1996, 4407, 12927, 1012, 102, 101, 1996, 3909, 6755, 2640, 2001, 4233, 2005, 1037, 2312, 3277, 1997, 6388, 7060, 2445, 2000, 2231, 4584, 1998, 2500, 1999, 8708, 1025, 2008, 9226, 2001, 2059, 2109, 2005, 1996, 3180, 3277, 2013, 8204, 1012, 1996, 7901, 2956, 2146, 6305, 2890, 1005, 1055, 20943, 29586, 1010, 2029, 2419, 2000, 8190, 1999, 9226, 2075, 1025, 1996, 2132, 1998, 5725, 1997, 1996, 6755, 2006, 1996, 27885, 16070, 4941, 1996, 29586, 1010, 2437, 2216, 2640, 2685, 3391, 2524, 2000, 4894, 1999, 1996, 7823, 6967, 1030, 1011, 1030, 15519, 17564, 2029, 2001, 2109, 1012, 2927, 1999, 8165, 1010, 1996, 9358, 2956, 1037, 2146, 6305, 2890, 2640, 1997, 7044, 4147, 1037, 3128, 2137, 2132, 16200, 4757, 1012, 2054, 2003, 2170, 1996, 1000, 11893, 29586, 1000, 1010, 2295, 2941, 9724, 1010, 19189, 1996, 7901, 1997, 1996, 9358, 1999, 8165, 1025, 2927, 1999, 7313, 1010, 1037, 7901, 2007, 2019, 6116, 29586, 1998, 6099, 2001, 2872, 2006, 1996, 9358, 1012, 1996, 6110, 1997, 1996, 29586, 2003, 2005, 4436, 4242, 1025, 1996, 6099, 2001, 2794, 2138, 1997, 4586, 4181, 1005, 1055, 4792, 2000, 2507, 1996, 9226, 1037, 1000, 2062, 2120, 2839, 1000, 1012, 2023, 7901, 2003, 3227, 5827, 2000, 2146, 6305, 2890, 1025, 4586, 28699, 18969, 2008, 2009, 2089, 2031, 2042, 2580, 2011, 3353, 27771, 4938, 1039, 1012, 6643, 12647, 1012, 102, 101, 2011, 16371, 26725, 12070, 5722, 1010, 2146, 6305, 2890, 1005, 1055, 2796, 2132, 9358, 2640, 2001, 2241, 2006, 1996, 2838, 1997, 2010, 2684, 4532, 1025, 1996, 6925, 3216, 2008, 2016, 2001, 2012, 1996, 12927, 2028, 2154, 2043, 2016, 2699, 2006, 1996, 2132, 16200, 4757, 1997, 2028, 1997, 1037, 2193, 1997, 3128, 4841, 2040, 2020, 5873, 1998, 2014, 2269, 11080, 2098, 2014, 1012, 2174, 1010, 4532, 2146, 6305, 2890, 2001, 2382, 2086, 2214, 1998, 2496, 1010, 2025, 2260, 2004, 1999, 1996, 6925, 1010, 1999, 8517, 1998, 2146, 6305, 2890, 2370, 3090, 2008, 1996, 2227, 2001, 2241, 2006, 1037, 6231, 1997, 11691, 1999, 4407, 2006, 5414, 2013, 1996, 12111, 1012, 2508, 2146, 6305, 2890, 2106, 2411, 11080, 2010, 6422, 2684, 1010, 1998, 2045, 2024, 14062, 2015, 2090, 1996, 15921, 1997, 4532, 2146, 6305, 2890, 1998, 1996, 2536, 15066, 1997, 7044, 2006, 2146, 6305, 2890, 1005, 1055, 7824, 1997, 1996, 16488, 1012, 2122, 7122, 2020, 4593, 12905, 2012, 1996, 2051, 1010, 2004, 4586, 4181, 1010, 1999, 3015, 2000, 9837, 3187, 18473, 17176, 1999, 2281, 8517, 1010, 6380, 2008, 1996, 9226, 2001, 2241, 1000, 2006, 2151, 2529, 2838, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0000948213284536283, 0.0021328884352638674, 0.016704953202846887, 0.01795150330339944, 0.04200952785984838, 0.007589925260833339, 0.00033525697125822584, 0.00025605082721213133, 0.015013819472345017, 0.0010448684831197918, 0.0006970712389639501, 0.013989603754828326, 0.010010690691263716, 0.00006856977257068177, 0.00010895945724684768, 0.02024821369907472, 0.0015654609212194417, 0.0041250758050522685, 0.0000024328460917757727, 0.01819863031421305, 0.00001158127427461398, 0.03102328092792232, 0.0045982651622337185, 0.08040687957961568, 0.05457887430909348, 0.05649008309333657, 0.0005240352506101092, 0.061618599467365316, 9.064781917211452e-9, 0.00024031308340364678, 0.00462682791074914, 0.004458667036250229, 0.08958486999710989, 0.0012743206218657867, 0.004828624598446375, 0.0032758737965125993, 0.003683919831745376, 0.00006621326244385472, 0.10315613671473174, 0.006832371493247712, 0.03760362570120959, 0.0010418984340751297, 0.07232646207848753, 9.064781917211452e-9, 0.0006528624558973397, 0.08798186637729655, 0.028142017150977135, 0.00017804895437706673, 0.0528458402680558, 0.03579929939399646 ]
[ 1996, 2146, 6305, 2890, 2155, 1000, 1012, 3389, 1042, 1012, 18506, 1010, 1999, 2010, 2889, 3720, 2006, 2146, 6305, 2890, 1010, 3964, 2008, 2151, 3063, 2064, 2022, 5105, 2011, 2116, 2477, 1010, 2021, 4455, 1996, 2466, 1000, 7687, 6270, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 3054, 1030, 1011, 1030, 7470, 5617, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2942, 2162, 3314, 1998, 2101, 2476, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2942, 2162, 2716, 3171, 24535, 2029, 4504, 1999, 1996, 8208, 1997, 2070, 7824, 1010, 2164, 1996, 2918, 1030, 1011, 1030, 3384, 9358, 1010, 2013, 9141, 1012, 3259, 9598, 1006, 11126, 2004, 2659, 2004, 2093, 16653, 1007, 1010, 22981, 12133, 1010, 1998, 2797, 19204, 2015, 1010, 3561, 1996, 6578, 1012, 2116, 1997, 1996, 19204, 2015, 2020, 9358, 1030, 1011, 1030, 7451, 1010, 2021, 23082, 1998, 2081, 1997, 4421, 1012, 12927, 4614, 2165, 5060, 2008, 2122, 3384, 4109, 2020, 5147, 22458, 1010, 1998, 4663, 6094, 2005, 1037, 4421, 9358, 1012, 2146, 6305, 2890, 1005, 1055, 2796, 2132, 2640, 2506, 1999, 2049, 2173, 2007, 1996, 2047, 3384, 1025, 2101, 1999, 6717, 2002, 16328, 2010, 3988, 1000, 1048, 1000, 1999, 1996, 2132, 16200, 4757, 1012, 1996, 2552, 2029, 9362, 1996, 4421, 9358, 2036, 3843, 1037, 2048, 1030, 1011, 1030, 9358, 3538, 1025, 2146, 6305, 2890, 19851, 1037, 2640, 1010, 2029, 21395, 4455, 1037, 1000, 3391, 8702, 5512, 1000, 2007, 12563, 1998, 1037, 11893, 29586, 24958, 1037, 6099, 1012, 2174, 1010, 2396, 5272, 17354, 2310, 10867, 13765, 2571, 3090, 2008, 3787, 1997, 1996, 2640, 1000, 2342, 2069, 24958, 8854, 2000, 2022, 1996, 9530, 17421, 8585, 11423, 1997, 2942, 2162, 9536, 2854, 1012, 1000, 9837, 3187, 11840, 1052, 1012, 5252, 12287, 6885, 2019, 3670, 1997, 1996, 3842, 1005, 1055, 4752, 1999, 2643, 1999, 1037, 2051, 1997, 2162, 2006, 1996, 25396, 1010, 1998, 2626, 2000, 12927, 2472, 25218, 1010, 1000, 2017, 2097, 3426, 1037, 5080, 2000, 2022, 4810, 2302, 14203, 8536, 2007, 1037, 12652, 14026, 1999, 1996, 2261, 4355, 28774, 8583, 2102, 3408, 2825, 2023, 2120, 5038, 1012, 1000, 2195, 12652, 2015, 2020, 2641, 2011, 25218, 1010, 2164, 1000, 2643, 2256, 3404, 1000, 1998, 1000, 2643, 1998, 2256, 2406, 1000, 1012, 2146, 6305, 2890, 1005, 1055, 2048, 1030, 1011, 1030, 9358, 3538, 2001, 1996, 2034, 9226, 14551, 2007, 1000, 1999, 2643, 2057, 3404, 1000, 1012, 102, 101, 15519, 2018, 2042, 3718, 2013, 1996, 9358, 2058, 1996, 22224, 1997, 3552, 21691, 3312, 24249, 1010, 2040, 2018, 2312, 5426, 1999, 1996, 3384, 1025, 2010, 12295, 1010, 22794, 14141, 10600, 8799, 1010, 2018, 4061, 2114, 1996, 2552, 1012, 1999, 6717, 1010, 24249, 2405, 1037, 19899, 9177, 2005, 1037, 25396, 1999, 2029, 2035, 7824, 2625, 2084, 2702, 16653, 2052, 2022, 2081, 1997, 1037, 6967, 1030, 1011, 1030, 15519, 17564, 2007, 2423, 1003, 15519, 1010, 2074, 2058, 3807, 1996, 7017, 2029, 1996, 9358, 2018, 4838, 1012, 1999, 2233, 6725, 1010, 3519, 2979, 6094, 2005, 1037, 2093, 1030, 1011, 1030, 9358, 9226, 1997, 2008, 17564, 1010, 3832, 2000, 11036, 12884, 2389, 9598, 1997, 2008, 18683, 1012, 2146, 6305, 2890, 19851, 1037, 2132, 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, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0030838112013686935, 0.0004122960770145698, 0.010255074313495245, 0.0003737822377571273, 0.0002602323226826087, 0.027793664669124984, 0.030675359829456395, 0.09453723624848655, 0.0049020647594966585, 0.00007147273676740534, 0.0010244556272993401, 0.0019414736794628018, 8.973003820706025e-9, 0.00001238362143490583, 0.01966447258348841, 0.18115497628688948, 0.00045271440095230847, 0.05620620393461411, 0.0000016172126129968874, 0.000007121966433758642, 0.00003217181409997773, 0.01714426537265134, 0.024111770332490574, 0.016010057656784402, 0.00007042658033832515, 0.013433294186969761, 0.09286624623567973, 0.00930366160792512, 0.005053045703994161, 0.000028635059297082936, 0.0032172226901304693, 0.005744930374194786, 0.09975281053277325, 0.01420410087864975, 0.011054277410579868, 0.07805733712167164, 0.002055788174053787, 0.004404717988731942, 0.0001290901284765066, 0.00009203140134599466, 0.00000939293095858171, 0.07178753177042432, 0.013450168572863838, 0.009734401938786904, 0.00137454118290551, 0.0016225926111962691, 0.0003155049614241435, 0.0661155144976527, 0.001318484530401994, 0.004675563070704927 ]
[ 7044, 2005, 1996, 9226, 15525, 2010, 2060, 20818, 1997, 1996, 7804, 2029, 2002, 2018, 2081, 1999, 1996, 2627, 2385, 2086, 1025, 2005, 1996, 7901, 2002, 2109, 1996, 1000, 11893, 1000, 29586, 2013, 1996, 8165, 9358, 4193, 1996, 3142, 16371, 28990, 3523, 11780, 2013, 1996, 3165, 2093, 1030, 1011, 1030, 9358, 3538, 1012, 102, 101, 24249, 1998, 2500, 6224, 2000, 5326, 1996, 2224, 1997, 15519, 2815, 3928, 1999, 3519, 1010, 1998, 1999, 7647, 7119, 20104, 2005, 1037, 2274, 1030, 1011, 1030, 9358, 9226, 1997, 6967, 15519, 1012, 2146, 6305, 2890, 4810, 1037, 2193, 1997, 5617, 1025, 25218, 3479, 2146, 6305, 2890, 1005, 1055, 2640, 1997, 1037, 6099, 1006, 2714, 2000, 1996, 2048, 1030, 1011, 1030, 9358, 3538, 1007, 1998, 1037, 14330, 2100, 4418, 2005, 1996, 7901, 1010, 1998, 1996, 6099, 15519, 2211, 2000, 2022, 4930, 2008, 2095, 1012, 12927, 4632, 4710, 2121, 2520, 26258, 2626, 2000, 2146, 6305, 2890, 1010, 1000, 2009, 2003, 5621, 24820, 2000, 2156, 1037, 2158, 3413, 1996, 2166, 1997, 2093, 3556, 1998, 2702, 1998, 2664, 2022, 2583, 2000, 3965, 1996, 2168, 6018, 2573, 2004, 1999, 3041, 2420, 1012, 1000, 102, 101, 1999, 6725, 3519, 3223, 1996, 2224, 1997, 1000, 1999, 2643, 2057, 3404, 1000, 2006, 2035, 7824, 2312, 2438, 2000, 4562, 1996, 9315, 1025, 1999, 7647, 1010, 2146, 6305, 2890, 2794, 1996, 12652, 2000, 2035, 3165, 7824, 3469, 2084, 1996, 27211, 1998, 2035, 2751, 7824, 3469, 2084, 1996, 2093, 1030, 1011, 1030, 7922, 3538, 1012, 2002, 2036, 1999, 7517, 2081, 12719, 2000, 1996, 2640, 1997, 1996, 6967, 1030, 1011, 1030, 15519, 2274, 1030, 1011, 1030, 9358, 3538, 1010, 2030, 15519, 2004, 2009, 2001, 2746, 2000, 2022, 2124, 1012, 1999, 6725, 1010, 2146, 6305, 2890, 5117, 2329, 1030, 1011, 1030, 2141, 27771, 2520, 13362, 2004, 3353, 1025, 2520, 1044, 1012, 3145, 2001, 2036, 2081, 2019, 3353, 1999, 6717, 1998, 2815, 2012, 1996, 12927, 2627, 2146, 6305, 2890, 1005, 1055, 2331, 1012, 102, 101, 2070, 1997, 1996, 25396, 2029, 2018, 9955, 2013, 9141, 2076, 1996, 2942, 2162, 1998, 2018, 2042, 15612, 2000, 2148, 2637, 2506, 2000, 2022, 2109, 1999, 12091, 3119, 2004, 10342, 2179, 2037, 2334, 25396, 11126, 9996, 2007, 1996, 2137, 4109, 1012, 1999, 7647, 1010, 1996, 12091, 2231, 10290, 2049, 4387, 1999, 2899, 2000, 3921, 1996, 1057, 1012, 1055, 1012, 2110, 2533, 2005, 6656, 2000, 2031, 2037, 25396, 8289, 2081, 1999, 2637, 1012, 1996, 4080, 3779, 3447, 2001, 3407, 2000, 27885, 3669, 3351, 1025, 9837, 3187, 6621, 23680, 18083, 11663, 2435, 1996, 12091, 2015, 1037, 3661, 1997, 4955, 2000, 2146, 6305, 2890, 1999, 4407, 1012, 2146, 6305, 2890, 2001, 5117, 2011, 1996, 12091, 2015, 2000, 25136, 2274, 3165, 1998, 2176, 2751, 7824, 1010, 1998, 2002, 3530, 1010, 2061, 2146, 2004, 6656, 2013, 23680, 18083, 11663, 2001, 4663, 2005, 2032, 2000, 5138, 2019, 2648, 7408, 1012, 23680, 18083, 11663, 2001, 3322, 5993, 3085, 1010, 2021, 12927, 2472, 25218, 2992, 22224, 2006, 1996, 2598, 2008, 2231, 3200, 2323, 2025, 2022, 2109, 2000, 9585, 2797, 5114, 1012, 2776, 1010, 2035, 4243, 2584, 3820, 2008, 2146, 6305, 2890, 2071, 2079, 1996, 2147, 2012, 1037, 2561, 3465, 1997, 1002, 2184, 1030, 1010, 1030, 2199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.03954495192859425, 0.000012440046585498349, 0.00031419346591164335, 0.0003997054196163746, 0.0018701236335076509, 0.001450138747510807, 0.10771339230293318, 9.098502206004293e-9, 0.00006910437118859066, 0.014382243939700163, 0.002830861625902792, 0.08009580752104756, 0.10828161517410176, 0.08781905955133242, 0.000028393715438172966, 0.003954409438681696, 0.000004041063725882303, 0.0000012125175523221761, 0.03949358625205056, 0.0046945808736075, 0.030461643618485777, 0.004000922041138754, 0.058521330733396146, 0.0001283697144754145, 0.1738692074027339, 0.012579096534607632, 0.019334296476307373, 0.00010662876783887222, 9.098502204568093e-9, 0.01609962704779924, 0.0006416300031574026, 0.00002963943320618004, 0.000013676203827798846, 0.000025203080243928123, 0.013211431804096476, 0.0005504531670256194, 0.0037155853377773213, 0.000011654702782262167, 2.3663955678991292e-7, 0.00647733018703441, 0.023627024436372716, 0.00004445330556644495, 0.007431068142391572, 0.07717871059604124, 0.008105254727664912, 0.0027835276198310997, 0.003977219842258219, 0.004029428497182734, 0.03990948897758109, 0.0001759811736253567 ]
[ 3024, 2008, 2002, 2716, 1999, 2019, 2648, 27771, 2000, 2079, 2070, 1997, 1996, 2147, 2104, 2146, 6305, 2890, 1005, 1055, 10429, 1025, 1996, 2708, 27771, 3479, 4938, 1039, 1012, 6643, 12647, 1010, 2028, 1997, 2010, 2280, 16838, 1012, 5012, 2012, 1996, 12927, 8314, 2007, 25218, 1005, 1055, 8172, 2058, 2343, 3779, 1005, 1055, 8735, 6043, 1010, 1998, 1996, 8289, 1998, 9594, 2015, 1006, 2013, 2029, 2062, 8289, 2071, 2022, 2081, 1007, 2020, 2580, 2927, 1999, 2281, 7647, 1010, 2763, 1999, 1030, 1011, 1030, 2160, 2012, 1996, 4407, 12927, 1012, 2146, 6305, 2890, 1005, 1055, 5617, 2005, 7029, 2020, 2109, 2127, 2047, 3924, 2020, 4233, 1999, 1996, 13678, 1012, 102, 101, 1999, 7517, 1010, 2146, 6305, 2890, 3818, 1996, 2224, 1997, 13061, 1999, 7824, 1025, 2023, 2001, 5837, 2004, 1996, 4425, 1998, 3976, 1997, 1996, 3384, 19857, 25638, 9839, 1010, 1998, 2009, 2059, 2018, 1037, 2152, 23807, 3643, 1012, 1999, 7582, 1010, 24249, 1005, 1055, 5426, 3818, 2437, 1996, 27211, 2046, 1037, 6967, 1030, 1011, 1030, 15519, 3538, 1998, 2000, 19933, 1996, 9358, 1010, 2093, 1030, 1011, 1030, 9358, 3538, 1010, 1998, 15519, 1012, 1996, 2622, 2001, 4704, 2043, 2009, 2150, 3154, 1996, 2918, 1030, 1011, 1030, 3384, 27211, 2052, 2022, 2205, 2312, 2000, 2022, 6464, 4930, 1999, 1996, 7823, 6967, 1030, 1011, 1030, 15519, 17564, 1010, 2021, 2146, 6305, 2890, 4810, 1037, 2193, 1997, 2431, 7922, 1030, 1011, 1030, 2946, 7060, 1012, 2002, 2036, 2211, 2147, 2006, 2128, 1030, 1011, 1030, 23501, 1996, 5617, 1997, 1996, 2751, 4109, 1010, 1998, 2949, 1996, 1002, 2184, 3538, 2011, 2095, 1005, 1055, 2203, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 2101, 5617, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 2331, 1998, 7667, 1027, 1027, 102, 101, 102, 101, 2508, 2146, 6305, 2890, 2351, 3402, 2012, 2010, 2188, 1999, 4407, 2006, 2254, 1015, 1010, 7845, 1012, 1037, 3986, 3116, 2001, 2218, 2012, 1996, 4407, 12927, 2006, 2254, 1019, 1010, 3230, 2011, 1996, 4322, 1005, 1055, 5126, 1012, 1996, 2472, 1997, 1996, 12927, 1010, 2888, 11409, 4063, 2386, 1010, 5359, 1037, 4613, 1999, 8489, 1997, 2146, 6305, 2890, 3188, 2000, 1996, 5337, 7327, 6483, 1010, 2029, 2001, 2445, 2011, 2146, 6305, 2890, 1005, 1055, 3353, 1010, 2520, 13362, 1010, 2040, 2052, 2022, 2805, 2004, 2146, 6305, 2890, 1005, 1055, 6332, 1012, 2066, 2169, 1997, 2010, 16372, 1010, 2146, 6305, 2890, 2351, 1999, 2436, 1012, 102, 101, 2146, 6305, 2890, 2001, 3858, 1999, 2019, 8327, 1997, 2531, 3862, 2137, 27771, 2015, 6485, 2011, 1996, 2047, 2259, 2270, 3075, 1999, 4662, 1012, 1999, 3359, 1010, 2396, 5272, 17354, 2310, 10867, 13765, 2571, 1010, 1999, 2010, 3872, 2006, 1057, 1012, 1055, 1012, 7824, 1010, 7021, 2146, 6305, 2890, 1998, 2010, 2573, 2625, 27597, 1010, 1000, 6375, 1999, 2037, 10634, 2791, 1010, 3768, 1997, 7780, 1010, 1998, 2130, 24209, 22325, 2791, 1010, 2146, 6305, 2890, 1005, 1055, 5857, 2000, 7060, 1998, 3180, 25396, 2020, 1037, 2787, 3357, 11043, 2013, 1996, 2396, 1997, 1031, 2726, 1033, 21396, 2135, 1010, 1031, 14841, 10772, 1033, 26034, 2571, 1010, 1031, 2728, 1033, 8099, 1010, 1998, 2175, 13578, 10143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0003756803915624127, 0.0022730429293943543, 0.053298944698069714, 0.003823642299947985, 0.0000862107113890256, 0.031280311986802, 6.996340674669101e-7, 0.0183129339184351, 1.0073181664795845e-8, 0.09198782537713898, 1.0073181664795845e-8, 0.014263166239000157, 0.0040679788532984726, 0.07279081458954391, 0.06043474799833224, 0.030134173433507435, 0.00006504106034928094, 0.03438918947487862, 0.0218460263409057, 0.0665279010659348, 0.000018589111775307107, 0.017984759638200246, 1.0073181664795845e-8, 0.000985357023707012, 0.0037412481584272687, 0.000040743751375279784, 0.0020859092712809924, 0.00048591587017954237, 0.04081677437416747, 0.03295043811067899, 1.0073181664795845e-8, 0.03353244000437275, 0.00008180286969861994, 0.0012004480775593008, 0.000946962763610048, 0.0001456399137403473, 0.000008261275264866727, 0.000003712735221853487, 0.0029144072751105406, 0.00030029421090466433, 0.03644350352123187, 0.000021326933482861195, 0.07470889676682639, 0.009774766904847755, 0.00011791106182580015, 0.08943080142399726, 0.0009268086640362596, 0.02069456591246878, 0.0645363678609387, 0.05914297521978482 ]
[ 1000, 1998, 1000, 3649, 2010, 3025, 11647, 2004, 2019, 27771, 1997, 9668, 1010, 2002, 3849, 2025, 2000, 2031, 2716, 2172, 9647, 2000, 2010, 2590, 2695, 2012, 1996, 4407, 12927, 1012, 1000, 2174, 1010, 2310, 10867, 13765, 2571, 2641, 1996, 3909, 6755, 9358, 2062, 1997, 1037, 2147, 1997, 2396, 1010, 2521, 2682, 1996, 24684, 1012, 102, 101, 1999, 2010, 2889, 3720, 1010, 18506, 3964, 2310, 10867, 13765, 2571, 1005, 1055, 5936, 1010, 2021, 10592, 2146, 6305, 2890, 1005, 1055, 2147, 2590, 2005, 2049, 2224, 1997, 2137, 9255, 1010, 2164, 1996, 15066, 1997, 3128, 4841, 1012, 2002, 7164, 2146, 6305, 2890, 1005, 1055, 2224, 1997, 2107, 9255, 5105, 2101, 9226, 11216, 1010, 2107, 2004, 2577, 1056, 1012, 5253, 1010, 5125, 1040, 1012, 7987, 24336, 2099, 1010, 1998, 11668, 3002, 1030, 1011, 1030, 11721, 12672, 3619, 1012, 2002, 3391, 27128, 1996, 18099, 17186, 2006, 1996, 7901, 1997, 1996, 3313, 6755, 1010, 4214, 2009, 1000, 4310, 1999, 2137, 16371, 26725, 12070, 2396, 1998, 11598, 2015, 1996, 27745, 1997, 1037, 2640, 2022, 8873, 13027, 1996, 3284, 1030, 1011, 1030, 18683, 1057, 1012, 1055, 1012, 9226, 1000, 1010, 1998, 10439, 17298, 5104, 1000, 1996, 10990, 8144, 1999, 22050, 1998, 3670, 1997, 2120, 15792, 2008, 2002, 2716, 2000, 1057, 1012, 1055, 1012, 16371, 26725, 12070, 2396, 1000, 1012, 102, 101, 2429, 2000, 6812, 2545, 1010, 1000, 2651, 1010, 2146, 6305, 2890, 2003, 4235, 12749, 2011, 16371, 26725, 10450, 12837, 1012, 1000, 21395, 3964, 2008, 2146, 6305, 2890, 1005, 1055, 1000, 6018, 4432, 4519, 2094, 3438, 2086, 1997, 2137, 7824, 1000, 1012, 4586, 7009, 1010, 102, 101, 1999, 3193, 1997, 1996, 17005, 2008, 3002, 1030, 1011, 1030, 11721, 12672, 3619, 1010, 2310, 10867, 13765, 2571, 1010, 1998, 2500, 2018, 2005, 2146, 6305, 2890, 1005, 1055, 1000, 22207, 1000, 2640, 11780, 2013, 2175, 13578, 10143, 1010, 1998, 1996, 12024, 14256, 2031, 2005, 3909, 6755, 16653, 2651, 1010, 3383, 2009, 2003, 2035, 2005, 1996, 2190, 2008, 2070, 2060, 16226, 2001, 2025, 2580, 1999, 1996, 16488, 2012, 1996, 12927, 2043, 7885, 2000, 11027, 1996, 13988, 17198, 8462, 2312, 6967, 9358, 2020, 4146, 1012, 102, 101, 102, 101, 1027, 1027, 1057, 1012, 1055, 1012, 7824, 2881, 2011, 2146, 6305, 2890, 1027, 1027, 102, 101, 102, 101, 3909, 6755, 9358, 1006, 8708, 1516, 8517, 1007, 102, 101, 2796, 2132, 9358, 1006, 8165, 1516, 5556, 1007, 102, 101, 2048, 1030, 1011, 1030, 9358, 3538, 1006, 6717, 1516, 7612, 1007, 102, 101, 2093, 1030, 1011, 1030, 9358, 3538, 1999, 3165, 1006, 8792, 1516, 7612, 1007, 1998, 15519, 1006, 6725, 1516, 6478, 1007, 102, 101, 6099, 15519, 1006, 7647, 1516, 7257, 1007, 102, 101, 7044, 8901, 2431, 27211, 7901, 1006, 7313, 1516, 7612, 1007, 102, 101, 7044, 8901, 27211, 7901, 1006, 7313, 1516, 6607, 1007, 1010, 26513, 2007, 7263, 14080, 2004, 7901, 1997, 13362, 27211, 1006, 6527, 1516, 4947, 1007, 102, 101, 7044, 2132, 2751, 7922, 1006, 9037, 1516, 6478, 1007, 102, 101, 2093, 1030, 1011, 1030, 7922, 3538, 1006, 8421, 1516, 6478, 1007, 102, 101, 7044, 2132, 3313, 6755, 1006, 9037, 1030, 1011, 1030, 5528, 1007, 102, 101, 102, 101, 1027, 1027, 1027, 2808, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 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, 1, 1, 0, 0, 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, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 9.945060546309499e-8, 0.030483342605546512, 0.013681718168579991, 0.0026198723144979143, 0.007484123287296563, 0.005372379323350663, 0.020330416452907063, 0.014168732630185737, 0.00007022184714145634, 0.02966681704527224, 0.0651497543412619, 0.005270267881588518, 0.044165977962827806, 0.002463789333570418, 0.06447872736368877, 0.0011799718581091254, 0.038998232339077, 0.00017029542365188744, 0.0006263752055542796, 0.026855719791624065, 0.020277262071430668, 0.057025673971317505, 0.004640930463326578, 0.06498666465324544, 0.028432771994185133, 0.026035859564526847, 0.031244154179109713, 0.0000019685888007343646, 0.0000012723005112335743, 0.007598467627981221, 0.00022075878621739104, 0.000006304675270387098, 0.03949443196157277, 0.0067654600273713, 0.015793940887554862, 0.028723806623087017, 0.0004871904735864816, 0.05085748305493965, 0.00012834534977012324, 0.01659261675445997, 0.005491349994423161, 0.051239848955316025, 0.030725859346584276, 0.004971178155136039, 0.00002894154677228654, 0.0012030971901249268, 0.082561894549732, 0.014554504651207561, 0.03205955042479383, 0.0046115765513075595 ]
[ 102, 101, 102, 101, 6812, 2545, 1010, 1053, 1012, 2585, 1006, 2541, 1007, 1012, 1996, 4302, 1059, 1012, 3321, 1010, 3781, 1012, 2688, 25353, 7174, 3351, 1012, 5759, 1010, 16060, 1012, 1024, 4302, 1059, 1012, 3321, 1010, 3781, 1012, 3192, 1012, 3175, 1014, 1030, 1011, 1030, 6365, 21486, 2575, 2487, 1030, 1011, 1030, 6070, 1030, 1011, 1030, 1020, 1012, 102, 101, 6812, 2545, 1010, 1053, 1012, 2585, 1006, 2294, 1007, 1012, 1037, 5009, 2338, 1997, 6099, 1998, 7044, 2132, 15519, 2015, 1012, 5865, 1010, 11721, 1012, 1024, 21311, 4640, 1012, 3175, 1014, 1030, 1011, 1030, 6535, 18139, 1030, 1011, 1030, 4885, 1030, 1011, 1030, 1018, 1012, 102, 101, 21986, 2078, 1010, 4787, 1006, 2997, 1007, 1012, 4787, 21986, 2078, 1005, 1055, 3143, 12204, 1997, 1057, 1012, 1055, 1012, 1998, 5336, 7824, 1012, 2047, 2259, 1024, 11515, 4710, 1012, 3175, 4891, 1030, 1011, 1030, 1014, 1030, 1011, 1030, 24429, 1030, 1011, 1030, 16087, 2692, 2581, 1030, 1011, 1030, 1020, 1012, 102, 101, 9226, 2088, 11346, 18357, 1006, 3822, 3968, 1012, 1007, 1012, 11430, 1010, 4058, 1024, 13744, 2811, 1012, 3355, 1012, 2004, 2378, 1038, 8889, 2549, 7875, 2581, 2278, 2683, 2213, 1012, 102, 101, 6473, 1010, 2577, 1043, 1012, 1006, 6571, 1007, 1012, 7203, 2381, 1997, 1996, 2142, 2163, 12927, 1006, 8001, 3968, 1012, 1007, 1012, 4407, 1024, 2577, 1043, 1012, 6473, 1012, 5140, 2254, 2403, 1010, 2286, 1012, 102, 101, 9674, 1010, 5076, 1025, 9535, 2232, 1010, 6902, 1006, 2263, 1007, 1012, 12204, 1997, 1057, 1012, 1055, 1012, 2751, 7824, 1010, 13397, 1516, 4537, 1006, 2117, 3968, 1012, 1007, 1012, 5865, 1010, 11721, 1012, 1024, 21311, 4640, 1012, 3175, 4891, 1030, 1011, 1030, 1014, 1030, 1011, 1030, 6535, 18139, 1030, 1011, 1030, 14993, 2549, 1030, 1011, 1030, 1019, 1012, 102, 101, 3485, 1997, 1996, 3237, 8931, 1997, 1996, 4001, 1997, 1996, 2142, 2163, 1997, 2637, 6819, 1012, 2899, 1010, 1040, 1012, 1039, 1012, 1024, 2142, 2163, 2231, 8021, 2436, 1012, 6837, 1012, 102, 101, 21395, 1010, 2585, 1059, 1012, 1006, 2294, 1007, 1012, 2381, 1997, 1996, 2142, 2163, 12927, 1998, 2049, 25396, 1012, 5865, 1010, 11721, 1012, 1024, 21311, 4640, 1012, 3175, 1014, 1030, 1011, 1030, 6535, 18139, 1030, 1011, 1030, 3285, 1030, 1011, 1030, 1023, 1012, 102, 101, 21877, 24137, 5802, 2080, 1030, 1011, 1030, 10882, 10483, 1010, 4557, 1006, 3172, 1007, 1012, 5545, 1049, 1012, 11019, 1010, 3968, 1012, 1996, 4632, 4710, 6665, 1998, 1996, 4632, 4710, 13239, 1010, 9840, 1516, 3355, 1012, 2047, 2259, 1024, 9413, 2891, 4640, 2194, 1012, 3175, 4891, 1030, 1011, 1030, 1014, 1030, 1011, 1030, 19989, 28311, 2487, 1030, 1011, 1030, 5890, 1030, 1011, 1030, 1015, 1012, 102, 101, 4586, 1010, 2957, 1006, 2268, 1007, 1012, 1037, 5009, 2338, 1997, 3909, 6755, 1998, 2796, 2132, 16653, 1012, 5865, 1012, 11721, 1012, 1024, 21311, 4640, 1012, 3175, 4891, 1030, 1011, 1030, 1014, 1030, 1011, 1030, 6535, 18139, 1030, 1011, 1030, 25504, 2487, 1030, 1011, 1030, 1022, 1012, 102, 101, 23726, 2100, 1010, 2123, 1006, 3172, 1007, 1012, 1996, 1057, 1012, 1055, 1012, 12927, 1998, 25396, 1006, 25364, 1997, 3547, 3968, 1012, 1007, 1012, 2047, 2259, 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 ]
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.1371508757718774, 0.00023602125552738023, 0.023001362579116353, 0.0592859492966439, 0.020683975240324136, 0.06723268499005869, 0.000016227101773599892, 0.000012310504187276135, 0.000333851972310987, 0.00092869222004839, 0.00019822403217414864, 0.012443196434682129, 1.0940248737496501e-8, 0.000028926237876302068, 1.0940248737496501e-8, 0.009986136705624584, 1.0940248737496501e-8, 0.04105192711810004, 0.00018639755600057193, 1.0940248737496501e-8, 0.018181557295435524, 0.007115220277131486, 0.000014411290108208349, 0.014904392122353295, 0.025339781273027016, 0.0031140909223494116, 0.004550670629489317, 1.0940248737496501e-8, 0.02370674092976569, 0.0004812414970024403, 1.0940248737496501e-8, 0.0038899796309984067, 1.0940248737496501e-8, 0.0025541169540886323, 0.04124815049389498, 1.0940248737496501e-8, 0.00040941899528327267, 0.005456125655608981, 0.11225847060541377, 0.0773992162905185, 0.00029714540560823815, 0.13202491183187137, 0.0004117616928453472, 0.003737375514917815, 0.07958468100434031, 0.043250488615193476, 0.010250959204601584, 0.000005487270445609563, 0.017036747119142843, 1.0940248737496501e-8 ]
[ 21153, 1046, 1012, 4241, 12096, 16371, 26725, 12070, 5523, 1012, 3175, 1014, 1030, 1011, 1030, 6205, 25746, 2575, 2475, 1030, 1011, 1030, 6273, 1030, 1011, 1030, 1015, 1012, 102, 101, 2310, 10867, 13765, 2571, 1010, 17354, 1006, 3411, 1007, 1012, 16371, 26725, 12070, 2396, 1999, 2637, 1012, 4729, 1010, 3742, 1012, 1024, 1996, 19337, 2243, 2532, 2361, 2811, 1997, 5765, 2118, 2811, 1012, 3175, 4891, 1030, 1011, 1030, 1014, 1030, 1011, 1030, 6163, 2549, 1030, 1011, 1030, 5786, 2620, 12740, 1030, 1011, 1030, 1017, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2060, 4216, 1027, 1027, 1027, 102, 101, 102, 101, 1000, 2137, 3485, 1997, 16371, 26725, 17592, 1000, 1017, 1006, 1023, 1007, 1012, 2047, 2259, 1024, 2137, 16371, 26725, 12070, 1998, 7611, 2554, 1012, 2254, 7845, 1012, 102, 101, 1000, 7029, 5176, 2146, 6305, 2890, 2005, 8289, 1999, 7647, 1000, 1012, 22834, 2721, 1010, 15536, 11020, 1012, 1024, 1047, 25965, 2063, 5523, 1012, 5140, 2233, 1018, 1010, 2297, 1012, 102, 101, 3972, 5686, 2100, 1010, 3419, 1006, 2255, 3106, 1007, 1012, 1000, 2146, 6305, 2890, 1024, 4895, 19729, 2290, 27771, 1997, 1996, 1057, 1012, 1055, 1012, 12927, 1000, 1012, 1996, 16371, 26725, 10450, 3367, 1006, 5169, 6076, 1010, 2522, 1012, 1024, 2137, 16371, 26725, 12070, 2523, 1007, 1024, 3359, 1516, 3301, 1012, 102, 101, 10905, 1010, 6174, 1006, 2258, 2384, 1007, 1012, 1000, 1996, 9487, 25396, 1997, 2508, 1038, 1012, 2146, 6305, 2890, 1000, 1012, 1996, 16371, 26725, 10450, 3367, 1006, 5169, 6076, 1010, 2522, 1012, 1024, 2137, 16371, 26725, 12070, 2523, 1007, 1024, 4029, 1516, 4261, 1010, 2871, 1516, 4601, 1012, 102, 101, 18506, 1010, 3389, 1042, 1012, 1006, 2285, 2889, 1007, 1012, 1000, 2146, 6305, 2890, 1005, 1055, 3747, 2006, 16371, 26725, 12070, 2396, 1000, 1012, 1996, 16371, 26725, 10450, 3367, 1006, 5169, 6076, 1010, 2522, 1012, 1024, 2137, 16371, 26725, 12070, 2523, 1007, 1024, 4798, 1516, 4814, 1010, 3245, 1516, 3150, 1012, 102, 101, 3044, 1010, 6969, 1006, 2262, 1007, 1012, 1000, 2137, 16371, 26725, 12070, 22056, 1000, 1006, 11135, 1007, 1012, 1996, 16371, 26725, 12070, 12170, 16558, 18994, 13241, 2554, 1012, 5140, 2255, 2321, 1010, 2297, 1012, 102, 101, 102, 101, 1027, 5170, 3044, 1006, 4735, 1007, 1027, 102, 101, 102, 101, 5170, 2198, 3044, 1006, 2141, 2184, 2251, 3551, 1999, 13370, 1010, 2563, 1007, 2003, 1037, 2329, 11867, 9910, 6359, 3529, 1037, 2166, 6251, 2005, 1996, 9916, 1997, 2093, 2308, 1999, 6484, 1012, 1037, 2280, 4189, 16365, 7309, 4846, 2012, 1996, 10098, 2270, 2160, 1999, 1996, 10667, 20915, 2232, 2181, 1997, 1996, 2103, 1010, 3044, 2730, 2010, 5694, 2058, 1037, 2176, 1030, 1011, 1030, 2154, 2558, 1999, 2281, 2456, 1010, 2022, 19699, 9013, 4667, 2048, 1997, 2068, 2012, 1996, 10098, 2077, 4755, 2041, 1996, 6997, 1012, 2035, 2093, 5694, 2020, 14163, 26065, 3064, 2471, 3458, 5038, 1010, 2021, 3044, 2001, 2855, 4453, 2004, 1996, 6359, 2138, 1997, 1996, 10827, 3350, 11383, 2032, 2000, 1996, 6677, 1012, 102, 101, 3044, 1005, 1055, 2034, 6778, 2001, 8183, 10265, 11804, 1010, 1037, 13400, 2021, 7231, 3806, 26855, 3183, 2002, 2777, 2012, 1996, 10098, 2077, 4288, 2014, 2847, 2101, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0016804366828710733, 8.467755422433965e-9, 0.00009411251470240591, 0.002259835780748826, 0.0017318426018111718, 8.467755422433965e-9, 0.03343343204993661, 0.0003125760811747704, 0.004461297473381278, 0.04331583899069432, 0.05438509076784944, 0.004592285520533358, 0.021275823061093338, 0.03291891877692667, 0.044330072745541294, 0.22862691950897815, 0.0000017981220744234297, 0.005308803814874524, 0.00022845681364069376, 8.467755422433965e-9, 8.467755422433965e-9, 0.1301240841117021, 0.04236029305557629, 0.016869474596175563, 0.018839925208029136, 0.0028452985932023254, 0.019600823982531056, 0.00014651551802280483, 0.00014056368926057897, 0.012001894558313443, 0.00003171771156087958, 0.001059017340365484, 8.467755422433965e-9, 0.0003980482861723259, 0.10232752990808557, 0.00017242834003530216, 0.0008393957446356058, 0.015752200040111845, 0.000005571485824761046, 0.0006641009356644589, 0.0004966188130117598, 0.02291447897004455, 0.0013471940499175015, 0.017898073571524727, 0.00006845295150465896, 0.07814290270770008, 0.000007899876905563864, 8.467755422433965e-9, 0.0016580981165549443, 0.03432980572420172 ]
[ 2002, 2003, 2245, 2000, 2031, 21384, 2014, 2077, 4292, 2014, 2303, 2006, 2543, 2379, 1037, 8640, 2598, 1012, 2093, 2420, 2101, 1010, 2002, 2777, 2388, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 2093, 18040, 2522, 29566, 5521, 2012, 1996, 2168, 2270, 2160, 1998, 5225, 2014, 2000, 1037, 3541, 3295, 1010, 2073, 2002, 14154, 11818, 17799, 2014, 2000, 2331, 1998, 5225, 2058, 1996, 2303, 1012, 2059, 1010, 2004, 2002, 5225, 2188, 1010, 2002, 2718, 2729, 7309, 8594, 5207, 2007, 2010, 2482, 1998, 1010, 14892, 5425, 1010, 3786, 2014, 2000, 2331, 1012, 2035, 2093, 4230, 2020, 3603, 2574, 2044, 1996, 9916, 2020, 3344, 2041, 1012, 102, 101, 3044, 2001, 10439, 2890, 22342, 2098, 2044, 2002, 11925, 2225, 13256, 2610, 3038, 2008, 2002, 6257, 2000, 2191, 1037, 4861, 2055, 2522, 29566, 5521, 1005, 1055, 13406, 1012, 2012, 1996, 2051, 1010, 2174, 1010, 2014, 2303, 2018, 2025, 2042, 13567, 4453, 1010, 1998, 27050, 2855, 2511, 2008, 2070, 5919, 1997, 2010, 4070, 2020, 6270, 1012, 1996, 4028, 9934, 1010, 2315, 3169, 2665, 1010, 14486, 1037, 2312, 11712, 1997, 2844, 3350, 4297, 20026, 19185, 3044, 1010, 2021, 2012, 2034, 2002, 6380, 5368, 1012, 2002, 5224, 2010, 12660, 2004, 2010, 3979, 2211, 1999, 2251, 2541, 1010, 2021, 2101, 1999, 1996, 8931, 2002, 2904, 2010, 14865, 2000, 5905, 1998, 2001, 7331, 2000, 2166, 10219, 1012, 1996, 15793, 2005, 2010, 6997, 2001, 10599, 1010, 2021, 2610, 2040, 4727, 2032, 3373, 2008, 1037, 1000, 3768, 1997, 4568, 4424, 4262, 1000, 2001, 1037, 8020, 5387, 1012, 102, 101, 18145, 2036, 10847, 1996, 2331, 1997, 1037, 2450, 2040, 2018, 2042, 1037, 11729, 1997, 3044, 2012, 1996, 10098, 1012, 10717, 1048, 6038, 14517, 1010, 1037, 9196, 2388, 1997, 2048, 2013, 3163, 2040, 2018, 2333, 2000, 6484, 1010, 2018, 2042, 2179, 2757, 1999, 2014, 4257, 1999, 2255, 2456, 1012, 2610, 2018, 2025, 5845, 1996, 2331, 2004, 10027, 1010, 2021, 2044, 2027, 3603, 2014, 4434, 2000, 3044, 1010, 2014, 2303, 2001, 4654, 28600, 2098, 2005, 1037, 2117, 2695, 22294, 6633, 1012, 2023, 4928, 2000, 2022, 4297, 2239, 23633, 1010, 1998, 1999, 2254, 2494, 1037, 22896, 1005, 1055, 6467, 1999, 6484, 2680, 2019, 2330, 14392, 2044, 4994, 2008, 1996, 3426, 1997, 2014, 2331, 2071, 2025, 2022, 4340, 1012, 102, 101, 102, 101, 1027, 1027, 4281, 1027, 1027, 102, 101, 102, 101, 5170, 2198, 3044, 2001, 2141, 1999, 3551, 2012, 1996, 2103, 23676, 2902, 1999, 13370, 1998, 3473, 2039, 1999, 1996, 2103, 1012, 1996, 2365, 1997, 24744, 4428, 2121, 2888, 2198, 3044, 1998, 2010, 2564, 3123, 3044, 1006, 7663, 6735, 7076, 1007, 1010, 2002, 2001, 1996, 4587, 1997, 2274, 9504, 1012, 1996, 2155, 2973, 1999, 12240, 2346, 1010, 2073, 2027, 2020, 14754, 1997, 7642, 15978, 5965, 1998, 18040, 2225, 1010, 2077, 3048, 2000, 16889, 2229, 2346, 2006, 1996, 13171, 2100, 2940, 3776, 1999, 3411, 1012, 2002, 3230, 13171, 2100, 2940, 16725, 1998, 3502, 2082, 1998, 2101, 2253, 2000, 1037, 2569, 2082, 2005, 2336, 2007, 4083, 8190, 1012, 1996, 2155, 2018, 1037, 10754, 3318, 1010, 1998, 2037, 3663, 2150, 4788, 2043, 3044, 1005, 1055, 2269, 2001, 5229, 1999, 1037, 5013, 2075, 4926, 1012, 3044, 2187, 2082, 2012, 2403, 2000, 3693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.003725118401010785, 0.020136435293507338, 0.00003890397849189953, 0.012948635684969156, 0.0008400084313766302, 0.0004867501793155195, 0.0002592528208103305, 0.0011219534289738664, 0.00998047340077546, 0.0002230276322531947, 0.0000394580551757433, 0.01443685641652819, 0.005225675194538898, 0.00012943105339427045, 0.023149222386295427, 0.07614905121407031, 1.0216367335618511e-8, 0.02925882400123657, 3.1026872369109155e-7, 0.059394786819589054, 0.00008359141494915702, 0.000013954298630945887, 0.002077180265601786, 0.025445861828668963, 0.0026749022948124434, 0.007710005271693692, 0.0021952222619570465, 0.0003827557609637421, 0.00002744187070187525, 0.08477867361497468, 0.0660837621151465, 0.0037017220466028684, 0.0033104361293736393, 0.0009253385812890822, 0.05555100943843973, 0.03363129951576657, 0.00002702749349317904, 0.0018612568619826603, 0.03559501125671095, 0.1948115581338951, 0.004860089877239006, 0.001992008390368882, 0.047812010428544466, 0.00024781601804495414, 0.008193787531769966, 0.03927764291294653, 0.0036395067667476287, 0.0014778370199189112, 0.06819658830703991, 0.04587051741432139 ]
[ 5006, 9649, 2099, 1005, 1055, 4569, 7011, 4313, 1010, 2029, 7255, 8077, 2802, 1996, 2142, 2983, 1998, 2036, 4846, 2010, 2269, 1012, 2002, 2499, 2041, 1997, 2161, 2004, 1037, 3888, 11774, 1010, 4428, 2121, 1998, 3036, 3457, 1012, 102, 101, 3044, 2333, 2013, 13370, 2000, 8915, 26291, 2229, 4917, 1998, 2059, 5811, 1030, 1011, 1030, 2006, 1030, 1011, 1030, 1059, 6672, 1010, 2073, 2002, 2973, 2007, 1037, 2931, 4256, 1012, 2027, 2018, 1037, 2365, 1999, 2901, 1998, 2048, 2062, 2336, 1999, 2826, 1010, 2021, 3044, 2187, 1996, 2155, 1998, 2333, 2000, 10149, 2043, 1996, 3276, 2150, 3697, 1012, 2002, 2059, 2985, 1037, 2095, 1999, 3163, 26859, 2007, 1037, 8932, 2155, 2040, 2165, 12063, 2006, 2032, 2096, 2002, 2001, 27738, 4048, 6834, 1999, 2012, 7317, 5643, 1010, 2221, 2225, 4168, 8988, 1010, 3163, 1012, 2002, 2409, 2068, 2002, 2001, 2019, 2394, 16006, 5873, 3163, 1010, 1998, 2027, 3039, 2032, 2000, 2444, 9278, 1030, 1011, 1030, 2489, 1999, 1037, 8622, 17184, 1010, 2096, 2002, 5201, 1037, 4664, 1997, 2010, 12163, 5770, 2875, 2833, 1012, 2027, 2356, 2032, 2000, 2681, 2138, 2027, 2020, 8796, 2055, 4424, 12629, 2002, 2018, 2081, 2000, 2402, 2931, 2372, 1997, 1996, 2155, 1012, 2002, 2333, 2000, 6484, 2875, 1996, 2203, 1997, 2639, 1998, 4370, 4780, 2012, 1996, 7124, 2803, 1010, 1037, 21071, 2005, 1996, 11573, 1999, 10667, 20915, 2232, 1010, 2077, 3048, 2000, 1037, 3200, 3266, 2011, 1037, 3847, 2523, 1999, 11655, 8939, 29601, 2346, 1999, 1996, 12125, 9697, 2212, 1997, 6484, 1012, 2002, 2150, 2092, 1030, 1011, 1030, 2124, 7246, 1998, 2001, 1037, 3180, 9161, 1997, 1996, 28782, 7668, 2006, 17723, 2346, 1998, 1997, 1996, 10098, 9047, 1999, 10667, 20915, 2232, 1010, 2073, 2002, 2001, 4846, 2006, 1037, 10017, 3978, 2004, 2019, 5976, 1030, 1011, 1030, 3105, 5677, 1998, 2366, 2004, 2019, 11982, 10095, 4062, 2005, 4392, 2545, 1012, 102, 101, 3044, 2363, 2058, 2382, 4735, 20488, 2005, 3576, 18421, 1010, 2927, 1999, 2089, 3118, 2043, 2002, 2001, 16981, 1069, 2531, 2005, 11933, 1012, 2010, 2501, 2036, 2443, 8304, 7376, 5350, 1010, 20934, 10623, 28221, 1998, 4439, 2302, 1037, 11172, 1010, 2021, 2053, 4808, 1012, 2012, 1020, 3027, 1018, 1999, 1998, 15243, 2570, 2962, 1010, 2007, 1037, 9841, 18697, 11001, 3311, 1998, 1037, 3730, 2225, 2406, 9669, 1010, 2002, 2001, 2641, 7132, 2011, 2216, 2002, 2777, 1012, 1999, 2019, 4357, 2007, 1996, 6484, 3944, 5653, 2206, 3044, 1005, 1055, 3979, 1999, 2251, 2541, 1010, 3958, 3044, 1010, 21584, 1997, 1996, 28782, 7668, 1010, 2056, 1010, 1000, 2002, 2001, 1037, 7132, 5016, 2040, 2057, 2315, 1005, 2502, 13064, 1005, 2138, 2010, 6879, 2467, 2109, 2000, 2681, 2304, 6017, 2006, 1996, 2723, 1012, 13568, 1030, 1011, 1030, 3157, 2566, 9358, 1997, 1996, 2051, 2002, 2018, 1037, 6530, 3311, 1998, 2246, 2066, 2002, 2018, 2042, 2551, 2006, 1037, 2482, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 4028, 11867, 9910, 1027, 1027, 102, 101, 102, 101, 2006, 1022, 2281, 2456, 1010, 3044, 2777, 2538, 1030, 1011, 1030, 2095, 1030, 1011, 1030, 2214, 8183, 10265, 11804, 1010, 1037, 13400, 2021, 7231, 3806, 26855, 2013, 2632, 2819, 2600, 1010, 6484, 1010, 2012, 1996, 10098 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.006283061081586699, 0.00004239732242538114, 0.016562283825164153, 0.013086886123849393, 0.00017623215195205325, 0.00008046452432758303, 0.025023333727698646, 0.0797122683651361, 0.01398769584262787, 0.04579605258820478, 0.005085479408777444, 0.0928829316953615, 0.000006569057279528525, 0.0002996515711716519, 0.00004945605283660771, 0.000016906227269851024, 0.0014360147996386532, 0.0014812459532479903, 0.06443744947467817, 0.02860603226615982, 0.0002619978073941424, 0.049945200932415834, 0.0036417719720496177, 0.00000710934046587015, 0.003159060192451213, 0.00009355454352278744, 0.004139008702633327, 0.011852637720783021, 0.00040457737156204907, 0.017397662933426677, 0.006748237911596888, 0.000044899646915956816, 0.016208867753201746, 0.03814162689771232, 0.00037755086397842986, 0.004461601153444967, 0.000028015815404226533, 0.00222580489657571, 0.10239018530148779, 0.047608040156678036, 0.005962442145660251, 0.010131920974713925, 0.037974646877103474, 0.025821956226038088, 0.13062274984669142, 0.0008063997609616171, 0.000053356313049097084, 0.0059894334530944515, 0.010916438156075113, 0.06753083227351801 ]
[ 2270, 2160, 1010, 1998, 2027, 2020, 2464, 2975, 2362, 1012, 2002, 2165, 2014, 2000, 1037, 2902, 6098, 1998, 2101, 2730, 2014, 1012, 19608, 3373, 2008, 2002, 21384, 2014, 2012, 2010, 4257, 1998, 14019, 2014, 2303, 2379, 1037, 8640, 2598, 2379, 3585, 2940, 7432, 2346, 1999, 12125, 9697, 1010, 2073, 2002, 2275, 2009, 4862, 13900, 1012, 1996, 2145, 1030, 1011, 1030, 15488, 7140, 16502, 2075, 3464, 2020, 3603, 2012, 1020, 1024, 2321, 2572, 2279, 2851, 1006, 1023, 2281, 1007, 2011, 2048, 24248, 2610, 3738, 1012, 1996, 2303, 2001, 4510, 28667, 8649, 8977, 3085, 1998, 2018, 2000, 2022, 4453, 2478, 27556, 1012, 1037, 4745, 2695, 22294, 6633, 5531, 2008, 2016, 2018, 2042, 21384, 2077, 2108, 4565, 2039, 1999, 1037, 10135, 1998, 2275, 2006, 2543, 1012, 102, 101, 2093, 2420, 2101, 1010, 3044, 2777, 18040, 2522, 29566, 5521, 1010, 1037, 2423, 1030, 1011, 1030, 2095, 1030, 1011, 1030, 2214, 2388, 1997, 2093, 2013, 3317, 10380, 2012, 1996, 2168, 2270, 2160, 1010, 1998, 2153, 2027, 2020, 2464, 2975, 2362, 1012, 2002, 5225, 2014, 2000, 20218, 2077, 14154, 11818, 13369, 2014, 2000, 2331, 1998, 2770, 2058, 2014, 2303, 2379, 2852, 28100, 12414, 12403, 1012, 2016, 2001, 2179, 2012, 1022, 1024, 2382, 2572, 2006, 2260, 2281, 2011, 1037, 2158, 3788, 2010, 3899, 1999, 1037, 4644, 2379, 5098, 1019, 1997, 1996, 1049, 2629, 13119, 1012, 102, 101, 3044, 1005, 1055, 2353, 6778, 2001, 8594, 5207, 1010, 1037, 4464, 1030, 1011, 1030, 2095, 1030, 1011, 1030, 2214, 2729, 2188, 7309, 1998, 2388, 1997, 2416, 2013, 28352, 12002, 2140, 9895, 1010, 2040, 2001, 2730, 2004, 2016, 2939, 2000, 2147, 1012, 3044, 2718, 2014, 2013, 2369, 2007, 2010, 2482, 2096, 4439, 2067, 2013, 20218, 1010, 25312, 19159, 2014, 5099, 1012, 14892, 2008, 2002, 2052, 2022, 3236, 1010, 3044, 2333, 2014, 2000, 2178, 3295, 1998, 3786, 2014, 2061, 2172, 2008, 11394, 2636, 2020, 3223, 2000, 6709, 2014, 11547, 1012, 1996, 2303, 2001, 3603, 2012, 1022, 1024, 2753, 2572, 2006, 2260, 2281, 2006, 2380, 3122, 2279, 2000, 4330, 8659, 2346, 1010, 3389, 2924, 1012, 102, 101, 102, 101, 1027, 1027, 4812, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 3988, 4861, 1027, 1027, 1027, 102, 101, 102, 101, 2043, 3095, 2012, 1996, 10098, 2409, 2032, 1997, 2522, 29566, 5521, 1005, 1055, 13406, 2006, 2410, 2281, 1010, 3044, 7026, 2094, 1996, 2610, 2276, 2012, 3317, 10380, 3038, 2008, 2002, 6257, 2000, 2507, 1037, 4861, 1012, 6022, 1010, 2010, 2655, 2234, 2012, 1018, 1024, 4002, 7610, 1010, 2077, 1996, 2303, 2179, 1999, 20218, 2018, 2042, 13567, 4453, 2004, 2522, 29566, 5521, 1005, 1055, 1010, 1998, 2306, 2019, 3178, 3044, 2018, 3591, 2370, 2012, 3317, 10380, 1012, 6317, 12294, 7920, 22745, 2101, 7383, 3044, 1005, 1055, 3042, 2655, 1024, 1000, 2002, 2056, 2002, 2052, 2066, 2000, 2272, 2000, 1996, 2610, 2276, 2000, 2393, 2007, 1996, 9934, 1998, 2008, 2002, 2018, 2464, 1031, 2522, 29566, 5521, 1033, 2006, 5095, 2305, 2681, 1996, 9047, 2007, 2019, 4242, 2158, 1012, 2002, 7278, 2002, 2052, 2066, 2000, 2272, 2058, 2000, 1996, 2610, 2276, 1012, 2002, 2056, 2002, 2018, 2042, 2356, 2000, 3967, 1996, 2610, 2011, 2619, 2842, 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, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.006267390355845402, 0.012912132871489018, 0.008137636451482341, 0.005954969520661376, 0.07316492012064096, 0.1212478767329956, 1.0538784835954438e-8, 0.0004717410113887998, 0.0024495914076893815, 0.015176179140916308, 0.08730512496324527, 0.008047562527670572, 0.0001223117460643856, 0.0008091798552640633, 0.00021707360599457188, 0.0441464827667311, 0.000029145071746056192, 0.000047290471701933064, 0.000028670811731938612, 0.06716999627072784, 0.018803000470701867, 0.05062610044714078, 0.00047242834520953234, 0.00008779264228234716, 0.004637997979059516, 1.0538784835954438e-8, 0.031699225933865885, 0.00006276482297509198, 0.10961011969375954, 1.0538784835954438e-8, 0.000026761959711929952, 0.003553896083982399, 0.020666158793794822, 0.00023677494100232696, 0.00017107062870018414, 0.007197737687928515, 0.08711607795372854, 0.0000238477642397171, 0.000003854984593883348, 0.003002541785815844, 0.000010710079739323198, 0.0872433182863176, 1.0538784835954438e-8, 0.004175810608661749, 0.009552262331551733, 0.00006614006294169165, 0.10443361513211422, 0.0027349235739478586, 0.000019713881734006632, 0.000060035265372850705 ]
[ 2435, 2010, 4684, 2193, 1012, 1000, 102, 101, 1999, 2010, 4745, 4861, 3044, 4914, 2000, 2108, 2012, 1996, 10098, 2007, 2522, 29566, 5521, 1998, 1037, 3287, 2767, 1010, 2021, 3555, 2027, 2020, 2101, 5459, 2043, 2027, 2253, 2000, 2178, 2270, 2160, 1010, 1996, 11260, 2386, 1010, 1998, 1996, 3287, 2767, 2001, 22607, 1012, 3044, 2056, 2008, 2002, 1998, 2522, 29566, 5521, 2059, 2253, 2000, 10125, 9758, 1005, 1055, 1010, 1037, 15479, 1999, 2398, 5172, 1010, 1998, 2008, 2043, 2027, 2187, 2070, 2051, 2101, 1010, 2522, 29566, 5521, 2001, 12892, 2011, 1037, 2158, 2002, 2649, 2004, 1037, 11389, 2879, 1010, 2007, 3183, 2016, 2018, 5275, 2012, 1996, 11260, 2386, 1012, 3044, 2056, 2008, 1996, 2158, 2150, 9376, 1010, 2061, 2002, 2356, 2522, 29566, 5521, 2065, 2016, 2359, 2000, 2175, 2188, 1012, 6815, 2008, 2016, 2409, 2032, 2016, 2106, 2025, 1010, 2002, 2056, 2002, 2059, 2187, 2014, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3350, 1998, 4028, 3715, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 4028, 4812, 1010, 2315, 3169, 2665, 1010, 2001, 2419, 2011, 2909, 3487, 22188, 1010, 2708, 12294, 1997, 2225, 13256, 2610, 1010, 1998, 2443, 2531, 2610, 3738, 1998, 2753, 2490, 3095, 2013, 1996, 2225, 13256, 1998, 2225, 21442, 7405, 2749, 1012, 18145, 7021, 5606, 1997, 2847, 1997, 10507, 9189, 8333, 1010, 5935, 2062, 2084, 2531, 3584, 10637, 1998, 10263, 9390, 1012, 3350, 2001, 20302, 23274, 2094, 2011, 6529, 2013, 1996, 15359, 2671, 2326, 1006, 1042, 4757, 1007, 1999, 6484, 1012, 3235, 1059, 16584, 15166, 2099, 1010, 1996, 7155, 2040, 3753, 1996, 1042, 4757, 2136, 1010, 3764, 1997, 1996, 4121, 3872, 1997, 3350, 1024, 1000, 1996, 2136, 2766, 2362, 2296, 11226, 1997, 15359, 3350, 2000, 3443, 1037, 2785, 1997, 1005, 6804, 1005, 1055, 4773, 1005, 1998, 1999, 1996, 2803, 1997, 2009, 2035, 1012, 1012, 1012, 2001, 5170, 3044, 1012, 1999, 2322, 2086, 1997, 2551, 2005, 1996, 1042, 4757, 1010, 1045, 2031, 2196, 2018, 2000, 3066, 2007, 2061, 2172, 3350, 1999, 7189, 2000, 2028, 8343, 1012, 2009, 2001, 3243, 10827, 1012, 1000, 102, 101, 2348, 3044, 5224, 2010, 12660, 1010, 18145, 2855, 5935, 3350, 11383, 2032, 2000, 2522, 29566, 5521, 1005, 1055, 2331, 1998, 2216, 1997, 1996, 2060, 2048, 2308, 1012, 9390, 2018, 2464, 2032, 2975, 1996, 10098, 2007, 2119, 2522, 29566, 5521, 1998, 11804, 1010, 1998, 2002, 2001, 1996, 2197, 2711, 2000, 2156, 2068, 2119, 4142, 1012, 10507, 9189, 8333, 2013, 2105, 6484, 3662, 2010, 8200, 2482, 5873, 3145, 5269, 5799, 2000, 1996, 4812, 1010, 1998, 2130, 4110, 11804, 2893, 2041, 2012, 2028, 2391, 2000, 3942, 1037, 15535, 1012, 3044, 2001, 2464, 9343, 17141, 2013, 1037, 8110, 2276, 1998, 4439, 2379, 1996, 2181, 2073, 11804, 1005, 1055, 2303, 2001, 2101, 3603, 1012, 2522, 29566, 5521, 2001, 2464, 2006, 4950, 8084, 2007, 3044, 2648, 10125, 9758, 1005, 1055, 1012, 10507, 9189, 8333, 3662, 2032, 4439, 2105, 22953, 5244, 21525, 1010, 1037, 2237, 2485, 2000, 2852, 28100, 12414, 1010, 2044, 4288, 2522, 29566, 5521, 1010, 1998, 2101, 2143, 3662, 2032, 4192, 2000, 6484, 1012, 2012, 2560, 2048, 9390, 7383, 3773, 3044, 2007, 2668, 2006, 2032, 1024, 1037, 5013, 2923, 2040, 2387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.08364149086371121, 0.054315199154049865, 0.0013754349365901531, 0.04979286181781938, 0.07233741860915097, 0.0014905662266106968, 0.09454656501649197, 0.00021547999589159117, 0.0000028539234601533497, 0.04975975310184307, 0.07870552679842416, 0.021850187390321258, 0.015747027469160776, 0.00010235522658564148, 9.743393126914134e-9, 0.02592572855821634, 0.013796791274948353, 0.0006142432602618213, 0.0005248326794434963, 0.0007838483701157645, 0.00008574918443637844, 0.011108987500898615, 0.000005958855181299509, 0.03788934348933274, 0.0000932257856804285, 0.0008038128293164621, 0.024507788223617346, 0.10084780534501772, 0.00010021610221755463, 0.000005155692672942126, 0.015836263839772557, 0.026406061609618198, 0.0959893442097217, 0.0000584733337490406, 0.0032898510252597495, 0.00009011671901867991, 0.0013292880595856813, 0.0001100648333154822, 0.0007632517996159457, 0.0007650942478403446, 9.743393126914134e-9, 0.0008882726405140934, 0.010626611038144674, 0.0010817009880359613, 0.00021748019406389357, 0.02558127003488371, 0.00000818325974452675, 0.07045288927363343, 0.0054898022823269615, 0.000039753442900934214 ]
[ 2032, 9343, 17141, 1010, 1998, 2178, 2040, 3764, 2007, 3044, 2055, 2010, 3311, 1012, 3044, 2409, 1996, 3732, 2008, 2002, 2018, 2042, 1999, 1037, 2954, 1010, 2348, 2002, 2018, 2053, 5710, 5751, 1997, 4544, 1012, 102, 101, 1999, 2804, 2000, 1996, 3350, 1997, 9390, 1998, 10507, 9189, 8629, 1010, 2045, 2001, 6937, 15359, 3350, 11383, 2032, 2000, 1996, 9916, 1012, 14766, 2179, 2058, 1037, 6474, 2668, 9153, 7076, 2006, 2010, 2482, 1010, 2006, 2010, 5929, 1998, 1999, 2010, 4257, 1010, 2035, 9844, 1996, 5694, 1012, 2045, 2020, 2668, 9153, 7076, 2006, 1996, 6879, 2007, 2029, 2002, 2018, 6476, 2119, 2522, 29566, 5521, 1998, 5207, 1010, 2029, 2002, 2001, 2145, 4147, 2012, 1996, 2051, 1997, 2010, 6545, 1012, 3044, 2018, 2699, 2000, 4550, 2010, 4253, 1999, 1996, 7198, 1997, 2010, 4257, 2247, 2007, 1037, 3940, 1997, 15292, 7495, 2000, 2522, 29566, 5521, 1010, 1998, 1037, 4524, 4820, 5167, 7495, 2000, 11804, 2001, 3603, 2648, 1012, 18145, 10349, 1996, 21904, 6017, 2013, 2010, 2482, 1010, 2029, 2018, 2176, 2367, 4127, 1997, 21904, 1010, 2000, 1996, 20218, 4028, 3496, 1998, 2000, 2522, 29566, 5521, 1005, 1055, 2303, 1010, 2058, 2029, 2002, 2018, 5533, 1012, 6773, 6198, 1998, 10341, 1997, 3221, 2179, 2006, 5207, 1005, 1055, 2303, 10349, 2216, 2013, 3044, 1005, 1055, 2482, 1010, 2164, 1037, 3714, 2422, 9324, 2029, 2002, 2018, 6908, 2046, 1996, 2482, 1005, 1055, 9573, 1012, 102, 101, 3044, 2001, 5338, 2007, 2522, 29566, 5521, 1005, 1055, 4028, 2006, 2459, 2281, 2456, 1998, 2128, 2386, 5732, 1999, 9968, 1996, 2206, 2154, 1012, 2011, 2023, 2051, 2014, 2331, 2018, 2042, 5799, 2000, 1996, 4288, 1997, 11804, 1012, 2610, 10263, 3044, 1999, 4434, 2007, 1996, 6677, 1997, 11804, 1998, 5207, 2006, 2654, 2281, 1998, 5338, 2032, 2007, 2037, 9916, 2048, 2420, 2101, 1012, 2096, 15497, 3979, 3044, 2001, 2218, 2004, 1037, 4696, 1037, 7267, 1999, 1996, 2152, 1030, 1011, 1030, 3036, 3536, 7100, 3827, 1999, 21712, 1012, 102, 101, 102, 101, 1027, 1027, 3979, 1998, 6251, 1027, 1027, 102, 101, 102, 101, 3044, 1005, 1055, 3979, 2211, 2012, 11258, 4410, 2457, 2006, 1017, 2251, 2541, 1010, 2073, 2002, 12254, 2025, 5905, 2000, 1996, 2093, 4028, 5571, 1012, 1996, 2553, 2001, 21651, 2011, 5199, 17768, 20697, 2102, 1010, 25196, 1010, 1998, 3044, 2001, 8047, 2011, 5586, 4435, 1010, 25196, 1012, 2006, 1996, 3098, 2154, 1997, 1996, 3979, 17768, 20697, 2102, 2409, 1996, 2457, 2045, 2001, 1000, 3928, 1998, 17075, 1000, 4045, 3350, 11383, 3044, 2000, 1996, 16431, 1012, 3044, 1005, 1055, 4721, 2001, 2008, 10279, 1997, 2668, 2179, 2006, 2010, 4253, 2020, 2045, 2138, 2610, 2018, 17214, 4842, 2098, 2007, 3350, 1010, 2096, 1996, 15292, 7495, 2000, 18040, 2522, 29566, 5521, 2179, 2012, 2010, 4257, 2018, 2042, 2426, 1037, 4524, 1997, 4253, 3044, 2018, 7376, 2013, 2648, 2019, 23060, 7011, 2213, 4497, 1012, 102, 101, 2006, 2459, 2251, 3044, 10865, 1997, 3110, 4895, 4381, 2007, 3108, 1998, 3239, 3255, 2096, 2104, 2892, 1030, 1011, 1030, 7749, 1010, 1998, 8931, 2020, 4780, 12705, 2096, 2002, 2001, 5845, 2005, 1996, 8030, 1997, 1037, 6634, 2886, 1012, 2043, 3044, 2513, 2000, 1996, 7409, 3233, 1010, 2002, 2056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0034120799272704203, 0.013068361576014296, 0.0012333740036495292, 0.0005121812521992873, 0.015111610742858422, 0.006750631005621142, 0.0015425927953121, 0.006404358457047261, 0.004046197949437205, 0.014735026037244785, 0.028760299892277883, 0.037428570732371685, 0.00018768875933374615, 0.017947598631685734, 0.00031519214454241704, 0.010977857907810092, 0.08622372859128351, 0.035088941278489126, 0.01631792386724065, 0.08568702100868615, 0.018292981804364374, 0.005969846320906801, 0.034351635048745006, 0.00005274563125582968, 0.034036595061264066, 0.0012867524887387098, 0.09383544520460138, 0.00007989269931928849, 0.00031379154860209626, 0.000048196163234132195, 0.007662764526543187, 0.005262460153269539, 0.05728254106866953, 0.03680952338926688, 0.008192113102914912, 0.00013115094900401333, 0.04238904913984808, 0.000810720840955644, 0.029916164765581833, 0.029056930011075413, 0.00007176591479520145, 0.03232790606363146, 0.00041822434838642515, 0.003908973150983125, 0.0051791935866884785, 9.737226341340536e-9, 0.014555947654559339, 0.00007879604902984772, 0.12320399578221071, 0.028722651233952876 ]
[ 2002, 6257, 2000, 3713, 2000, 2010, 19805, 1012, 18131, 3648, 7148, 7512, 3723, 2409, 2032, 2008, 2002, 2442, 3437, 3980, 1010, 2000, 2029, 3044, 3880, 1024, 1000, 1045, 2215, 2000, 2689, 2026, 14865, 1012, 1045, 1005, 1049, 7349, 2039, 2007, 2023, 1012, 1045, 2215, 2000, 2689, 2026, 14865, 1012, 1000, 1996, 5571, 2020, 3191, 2000, 2032, 2153, 1996, 2206, 2154, 1010, 1998, 2002, 12254, 5905, 1012, 2006, 2324, 2251, 2541, 3044, 2001, 7331, 2000, 2166, 10219, 1012, 1999, 2254, 2384, 6484, 1005, 1055, 4465, 8714, 3780, 2988, 2008, 3044, 2018, 2787, 2000, 2689, 2010, 14865, 2044, 2610, 3530, 2000, 2709, 1069, 4278, 17182, 2013, 2032, 2076, 1037, 8118, 2006, 2010, 4257, 2044, 2010, 6545, 1010, 1998, 2008, 2002, 2359, 1996, 2769, 2000, 4965, 7733, 6963, 1999, 3827, 1012, 102, 101, 4458, 6251, 1010, 7148, 7512, 3723, 2056, 1024, 1000, 2017, 20114, 2093, 7036, 6456, 1997, 2037, 3268, 1012, 1045, 8343, 2008, 2037, 2945, 2097, 9015, 1996, 2062, 2004, 2027, 3432, 2123, 1005, 1056, 3305, 2339, 2017, 2106, 1012, 1996, 24083, 1997, 2122, 6456, 1005, 6677, 1010, 2881, 2011, 2017, 2000, 26399, 5456, 1010, 4760, 1996, 3147, 2791, 2007, 2029, 2017, 14501, 2068, 1010, 2003, 10439, 8095, 2075, 1012, 2017, 2323, 4415, 2031, 4320, 2039, 2066, 1037, 2158, 2012, 1996, 10827, 3267, 1997, 1996, 4410, 1005, 1055, 2553, 2114, 2017, 2021, 2017, 4900, 2000, 2404, 1996, 5694, 1005, 2945, 2083, 14624, 2029, 2017, 7328, 2098, 2011, 2023, 3979, 1012, 1000, 1996, 15793, 2005, 3044, 1005, 1055, 4506, 2815, 10599, 2044, 1996, 3979, 1010, 2021, 2610, 3373, 1037, 1000, 3768, 1997, 4568, 4424, 4262, 1000, 2018, 2042, 1037, 8020, 5387, 1012, 102, 101, 102, 101, 1027, 1027, 2582, 27050, 1027, 1027, 102, 101, 102, 101, 2004, 1037, 2765, 1997, 2037, 27050, 2046, 3044, 1005, 1055, 4281, 1010, 2610, 3390, 2019, 4812, 2046, 1996, 2331, 1997, 1037, 2959, 2450, 2040, 2001, 3603, 2000, 2031, 2018, 6971, 2000, 2032, 1012, 10717, 1048, 6038, 14517, 1010, 1037, 4700, 1030, 1011, 1030, 2095, 1030, 1011, 1030, 2214, 9196, 2388, 1997, 2048, 1010, 2018, 2333, 2000, 6484, 2013, 2012, 7317, 5643, 2076, 1996, 3054, 1030, 1011, 1030, 4134, 1012, 2006, 2603, 2255, 2456, 1010, 2096, 2016, 2001, 4846, 2012, 1996, 10098, 2004, 1037, 20133, 1998, 2000, 2298, 2044, 1996, 6105, 2063, 1005, 1055, 2336, 1010, 2016, 2001, 2179, 2757, 1999, 1996, 5010, 1997, 2014, 4257, 2006, 4098, 16033, 3489, 2395, 1010, 8945, 26371, 3051, 2665, 1012, 2610, 3373, 2012, 2034, 2008, 2016, 2018, 2351, 1997, 3019, 5320, 1012, 2019, 24534, 3478, 2000, 5323, 1037, 3426, 1997, 2331, 1010, 1998, 2014, 2303, 2001, 2513, 2000, 3163, 2005, 8940, 1012, 102, 101, 2138, 1048, 6038, 14517, 2018, 2499, 4077, 3044, 2012, 1996, 10098, 9047, 1010, 2225, 13256, 2610, 6257, 2000, 2128, 1030, 1011, 1030, 11628, 1996, 3426, 1997, 2014, 2331, 1012, 1999, 2220, 2541, 1010, 14766, 2356, 1996, 3493, 4614, 2005, 1037, 2047, 2695, 22294, 6633, 1010, 1998, 2006, 1022, 2233, 1048, 6038, 14517, 1005, 1055, 2303, 2001, 4654, 28600, 2098, 2011, 11721, 13639, 2072, 2013, 1037, 4528, 1999, 2012, 7317, 5643, 1998, 2579, 2000, 5772, 2103, 22822, 9077, 2005, 2582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.027828753235102074, 0.06807925819938603, 0.000019827036670391457, 0.0000041714456078498616, 0.0006890344136190921, 0.05742231542747972, 0.04167647328319463, 0.023936851611103017, 0.0042399536292496535, 0.0010156477681335853, 0.000012722671645342409, 0.01898814885345705, 0.07100666778610422, 0.025507663425118295, 0.010438773265309752, 0.025114874427105943, 0.09501791618088891, 0.01344692990392251, 0.000012342254199941959, 0.00017482233485610876, 0.02797056968314131, 0.010056528452518193, 0.00011397803139677812, 0.07236249542522016, 0.001981758814666448, 0.00013213344794926266, 0.0000035774307991643048, 0.027287520939419895, 0.0005568516212435842, 0.003033075050036856, 0.0000036111507371134505, 0.0002255438015756663, 0.02209443385842172, 0.06584511557340406, 0.00512638348469004, 0.0022899920629293803, 0.10906756325840739, 0.00784851028313804, 0.010573232002890093, 0.00011569585288409193, 0.0005293665372082273, 0.00004745166161535626, 0.005070542586160572, 0.000035545763168868764, 0.02506620996343458, 0.00006320727680280895, 0.0036954275760002547, 0.02019669653978693, 0.09390914415932455, 0.0000646905588744857 ]
[ 7749, 2011, 3163, 1005, 1055, 2110, 4130, 8662, 1010, 2852, 2198, 5292, 15185, 10929, 1012, 2174, 1010, 1996, 3463, 1997, 2023, 24534, 2036, 4928, 4297, 2239, 23633, 1012, 102, 101, 2019, 1999, 15500, 2046, 1048, 6038, 14517, 1005, 1055, 2331, 2001, 2218, 2012, 6484, 22896, 1005, 1055, 2457, 1999, 2254, 2494, 1012, 1996, 4994, 2001, 2409, 2008, 6017, 2179, 2006, 2014, 2067, 1998, 2019, 2849, 2089, 2031, 2042, 7987, 28580, 1010, 2021, 1996, 4130, 8662, 2040, 4146, 1996, 2434, 2695, 22294, 6633, 2071, 2025, 2022, 2469, 2129, 2016, 2018, 2351, 1010, 2138, 2014, 2303, 2018, 21110, 2078, 6151, 2483, 3597, 25896, 2005, 2039, 2000, 2698, 2420, 1012, 2009, 2001, 2036, 2056, 2008, 1010, 2750, 2014, 4434, 2007, 3044, 1010, 2610, 1998, 2176, 4130, 16886, 2018, 3478, 2000, 5323, 2008, 1048, 6038, 14517, 2018, 2042, 7129, 1012, 1996, 1999, 15500, 6467, 2513, 2019, 2330, 14392, 1012, 102, 101, 2610, 2036, 4146, 1037, 9410, 2128, 1030, 1011, 1030, 7749, 1997, 2060, 4895, 19454, 7178, 4028, 3572, 5306, 2067, 2322, 2086, 1999, 2752, 2073, 3044, 2018, 2973, 1012, 3738, 2013, 2225, 13256, 2610, 2218, 1037, 3034, 1999, 2255, 2541, 2007, 4505, 2013, 2195, 2060, 2749, 1010, 2164, 15905, 1998, 2225, 21442, 7405, 1010, 2000, 3745, 2592, 2055, 4895, 19454, 7178, 4028, 3572, 1999, 2037, 2752, 1012, 18145, 10263, 3044, 2093, 2335, 1010, 2021, 2002, 4188, 2000, 3437, 2037, 3980, 1010, 1998, 2053, 2582, 5571, 2020, 2716, 1012, 102, 101, 102, 101, 102, 101, 1027, 2796, 2820, 1997, 2968, 23571, 1027, 102, 101, 102, 101, 1996, 2796, 2820, 1997, 2968, 23571, 1006, 12066, 2462, 2213, 23571, 2030, 2462, 2213, 1030, 1011, 1030, 1048, 1007, 2003, 2019, 8392, 2270, 2449, 2082, 2284, 1999, 23571, 1010, 14940, 7970, 1010, 2634, 1012, 2009, 2001, 2511, 1999, 3118, 2004, 1996, 2959, 2796, 2820, 1997, 2968, 1006, 2462, 2213, 1007, 2011, 1996, 2231, 1997, 2634, 1012, 2462, 2213, 23571, 4107, 2695, 1030, 1011, 1030, 4619, 9827, 1010, 7881, 1998, 3237, 3454, 1999, 2968, 1012, 2009, 2003, 7843, 2004, 2019, 1000, 5145, 1997, 8012, 1000, 2011, 1996, 2634, 1005, 1055, 3757, 1997, 2529, 7692, 2458, 1012, 2009, 2003, 4396, 2426, 1996, 2327, 1019, 1038, 1030, 1011, 1030, 2816, 1999, 2634, 1012, 2462, 2213, 23571, 2036, 4240, 2004, 1996, 10779, 5145, 2005, 1996, 4397, 2511, 2462, 2213, 20996, 22893, 2243, 1998, 2462, 2213, 10556, 9650, 3126, 1012, 102, 101, 1996, 2820, 2003, 4350, 1999, 1037, 3263, 1030, 1011, 1030, 7456, 2609, 1999, 1996, 2642, 12730, 1997, 23571, 1012, 2009, 2038, 1037, 5871, 3721, 2012, 2053, 8524, 7580, 2005, 3237, 2495, 1012, 1996, 9634, 2005, 1996, 2695, 4619, 1998, 7881, 8497, 2003, 2589, 2083, 2691, 9634, 3231, 1006, 4937, 1007, 1010, 2096, 20917, 2102, 3556, 2003, 2109, 2005, 1996, 3237, 15038, 2565, 1012, 1996, 3454, 2024, 11459, 2011, 1996, 3795, 14893, 2303, 2572, 3676, 1012, 1996, 2820, 2038, 5495, 11139, 2007, 2484, 2877, 1038, 1030, 1011, 1030, 2816, 2408, 1996, 2088, 2005, 3076, 3863, 1012, 2116, 2968, 2824, 1010, 6479, 1010, 3451, 1998, 2998, 2824, 2024, 7362, 2011, 2536, 9528, 2802, 1996, 2095, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.057227599603991194, 0.005079732232558762, 0.037169482257973244, 0.00003871482839435036, 0.019592438575465488, 0.019705876036634127, 0.00001554959924415186, 0.027233040962712313, 0.13893795629413447, 0.028324384523151405, 0.0006924493754025203, 0.001726466756213904, 0.006631932525353585, 0.05562735265244541, 0.0002646760866893317, 0.001382771657446548, 0.0000997323813258465, 0.058996495946289945, 0.000004116490325951188, 0.0018347761436899388, 0.011560952706468734, 0.00003284306806127394, 0.039453409403221194, 0.039479436394508016, 0.03289848187733882, 0.0009579253758622909, 0.06090121093924907, 0.0028759172205214257, 0.015301042860008282, 0.0215836154559026, 0.00009748446366172667, 0.02611929067695176, 0.1176714543039569, 0.03472537983546653, 0.02136674794740764, 0.0028703021621687623, 0.04280423855569028, 0.00041552700037670903, 0.00021681777208908685, 0.02221561589680217, 0.00017859726112698355, 0.0012670605864153139, 0.0025840751289650924, 0.00004448649511184407, 0.008285385045500035, 0.00022960241613628944, 0.009942547570936607, 0.0064196912877773, 0.016914136345882087, 0.0000011790169926813998 ]
[ 101, 102, 101, 2462, 2213, 23571, 2001, 2511, 1999, 3118, 1998, 2003, 2747, 1037, 25497, 6787, 5145, 1012, 2009, 2003, 1996, 2959, 2796, 2820, 1997, 2968, 2000, 2022, 2511, 1999, 2634, 2044, 2462, 2213, 13419, 1010, 2462, 2213, 27249, 1010, 1998, 2462, 2213, 14022, 1012, 3264, 3834, 2937, 2003, 18663, 2099, 2154, 2389, 2209, 1037, 3278, 2535, 1999, 4292, 2039, 1996, 5145, 1010, 2040, 2036, 2366, 2004, 1996, 4889, 2472, 1997, 2462, 2213, 23571, 2005, 1037, 2558, 1997, 2176, 2086, 1012, 21691, 21291, 17429, 5960, 13241, 1010, 2165, 2058, 2004, 1996, 3472, 1997, 2604, 1997, 11141, 1999, 2826, 1010, 2366, 2005, 1037, 2558, 1997, 2321, 2086, 6229, 2289, 1012, 102, 101, 1996, 2695, 4619, 4746, 1006, 18720, 2361, 1007, 2001, 2318, 1999, 3106, 1516, 6564, 2007, 1037, 3997, 1997, 2382, 2493, 1012, 2043, 1996, 2820, 2001, 2511, 1010, 4280, 2020, 2218, 1999, 12524, 4734, 2012, 7055, 4186, 1998, 3525, 2333, 2000, 21025, 3089, 2820, 1997, 13908, 2913, 1012, 1996, 2783, 3721, 2001, 2328, 1999, 2826, 1999, 1996, 12730, 1997, 23571, 1012, 102, 101, 1996, 2820, 3216, 2007, 1996, 3260, 2000, 2393, 5335, 2968, 3001, 2007, 7634, 2000, 2449, 1010, 3068, 1998, 2270, 2578, 2083, 8463, 1997, 8012, 1999, 2968, 2495, 1010, 2470, 1010, 24853, 1998, 2731, 1012, 102, 101, 5495, 11139, 2020, 2081, 2007, 2093, 3097, 5534, 1999, 2541, 2000, 2707, 1996, 3076, 3863, 2565, 1012, 1996, 12943, 3089, 8286, 9961, 2607, 2001, 2318, 1999, 2432, 2007, 1037, 3997, 1997, 2410, 2493, 1012, 1999, 2384, 1010, 2462, 2213, 23571, 2511, 1037, 2117, 3721, 2012, 2053, 8524, 15929, 16594, 2049, 3295, 2389, 5056, 1997, 2379, 2791, 2000, 6768, 1012, 1996, 2053, 8524, 3721, 2001, 2511, 7580, 2005, 3237, 2495, 1012, 2462, 2213, 23571, 2003, 1996, 2034, 2462, 2213, 1999, 1996, 2406, 2000, 2707, 2019, 3176, 3721, 1012, 102, 101, 102, 101, 1027, 1027, 3721, 1027, 1027, 102, 101, 102, 101, 2462, 2213, 23571, 2364, 3721, 14798, 3263, 4631, 1006, 6282, 5292, 1007, 1998, 2003, 2284, 1999, 10975, 19736, 4859, 2232, 16395, 2006, 1996, 12730, 1997, 23571, 1010, 14940, 7970, 1010, 2634, 1012, 2009, 2003, 2284, 2012, 2538, 3717, 1006, 2410, 2771, 1007, 2185, 2013, 23571, 2737, 2276, 1998, 2861, 3717, 1006, 2539, 2771, 1007, 2013, 23571, 3199, 1012, 2462, 2213, 23571, 2036, 2038, 1037, 2103, 2436, 2012, 4862, 22738, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3834, 6502, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 3834, 3121, 2024, 3833, 1999, 5781, 2796, 6549, 2806, 2007, 2417, 5318, 2813, 14902, 1012, 2035, 1996, 2350, 3121, 1999, 1996, 3721, 2024, 2315, 1999, 11353, 6454, 9355, 1996, 3450, 4146, 1999, 2068, 1012, 1996, 3834, 5991, 1006, 8945, 19114, 16523, 19190, 1030, 1011, 1030, 1045, 1998, 2462, 1007, 3506, 12463, 1998, 18014, 9873, 1012, 1996, 4513, 3796, 1006, 5413, 5794, 1007, 3506, 4513, 4734, 1998, 7881, 12463, 1012, 1996, 3075, 1006, 1043, 7054, 13390, 3148, 1007, 13912, 2382, 1030, 1010, 1030, 2199, 5490, 1012, 3027, 2038, 2274, 3752, 9873, 2007, 1037, 2561, 10747, 3977, 2005, 5539, 2111, 1012, 1996, 3075, 3506, 1037, 3074, 1997, 2871, 1030, 1010, 1030, 2199, 2808, 1010, 3156, 21855, 1998, 3784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.07575780817188486, 0.00023882488600036498, 0.0053085880429442145, 0.038321399651389206, 0.003059568765373567, 0.08291900872261715, 0.007666846386046869, 0.0048559108555419235, 0.002070052277138854, 0.0015638401299676228, 0.04668460545608079, 0.01757741816967134, 0.000199307668517366, 0.000014714809848530691, 0.03319920951686187, 0.011302785529482688, 0.00002939255920007718, 0.00035734797052937355, 0.1163979524108844, 9.819714943495995e-9, 0.012406545742960177, 0.000045601250550359606, 0.0006654578502092001, 0.0033512543659940434, 0.00001568379599904391, 0.03993803759460288, 0.017368124101045084, 0.0016030598222575676, 0.0015020705040761637, 0.039578401199434926, 0.00006389606509827848, 0.04420733872119736, 0.09353890146496316, 0.00006538051493344804, 0.002529185664065225, 0.00011862724189476518, 0.09463948543310204, 0.000012166761407019267, 0.000008515815573455768, 0.000076095747132779, 0.050445946374365135, 0.015682133951227827, 0.0002046903770365907, 0.00002288869585818173, 0.0002614788736815345, 0.03802814431501574, 0.0009787114572125596, 0.00011006423227351735, 0.09497809943542398, 0.000029420831711979628 ]
[ 15002, 2000, 14883, 1041, 1030, 1011, 1030, 9263, 1998, 4090, 1041, 1030, 1011, 1030, 17881, 1012, 1996, 3075, 2311, 2036, 3506, 1996, 3274, 2803, 1010, 5746, 5107, 6845, 1010, 6960, 7692, 4041, 6845, 1998, 1037, 2678, 8663, 7512, 2368, 6129, 2534, 1012, 1996, 2321, 1030, 1010, 1030, 2199, 5490, 1012, 3027, 3274, 2803, 2038, 1037, 20962, 22816, 21505, 2897, 1998, 3640, 9949, 20831, 2000, 2035, 1996, 3121, 1999, 1996, 3721, 1012, 1996, 2968, 2458, 3796, 1006, 2158, 21604, 1007, 18640, 2000, 1996, 2460, 2744, 3237, 3454, 2038, 7262, 3075, 1010, 3274, 2803, 1998, 4113, 2160, 1006, 6986, 2319, 28948, 1007, 2005, 1996, 6818, 1012, 1996, 2803, 2005, 2833, 1998, 12943, 3089, 8286, 9961, 2968, 16617, 2015, 12943, 3089, 8286, 9961, 2470, 1998, 24853, 3934, 1998, 2036, 4107, 1996, 12943, 3089, 8286, 9961, 2968, 2607, 1012, 1996, 2820, 2038, 2019, 4297, 19761, 3508, 2803, 1006, 11113, 4048, 7054, 1007, 2005, 4637, 1996, 10670, 4818, 3488, 1997, 2049, 2493, 1998, 9441, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2591, 6502, 1027, 1027, 1027, 102, 101, 102, 101, 2004, 1037, 3929, 5647, 9234, 2291, 1010, 1996, 2820, 3640, 3847, 2000, 2049, 2493, 1010, 4513, 1998, 2470, 5784, 1012, 2096, 1996, 3721, 2038, 3584, 2998, 4249, 2005, 2374, 1010, 4533, 1010, 3455, 1010, 7454, 1010, 5093, 1010, 14618, 1010, 2087, 1997, 1996, 21071, 2015, 2031, 2037, 2219, 2795, 5093, 1998, 14618, 2457, 1012, 1037, 10516, 1998, 8640, 2803, 1006, 8529, 5654, 1007, 2001, 2275, 2039, 1999, 2230, 1010, 2029, 3506, 11288, 1010, 5742, 4770, 1010, 18794, 1998, 3021, 14619, 2015, 1012, 1996, 4800, 5311, 20688, 9710, 2534, 1006, 3520, 2319, 17386, 3148, 1007, 2003, 2109, 2000, 3677, 2087, 1997, 1996, 3451, 3450, 1999, 1996, 3721, 1012, 102, 101, 1996, 3721, 2038, 1037, 2740, 2803, 2007, 5647, 1998, 5873, 7435, 2800, 2461, 1996, 5119, 1012, 1996, 2803, 2036, 2038, 2019, 10771, 2000, 3362, 3378, 8323, 1012, 1996, 2048, 4113, 3506, 9212, 4817, 3148, 1998, 6986, 2319, 28948, 2038, 1037, 2561, 1997, 11899, 22858, 4734, 1012, 1996, 3721, 2038, 1037, 2493, 3450, 3375, 2029, 3506, 2048, 5085, 1010, 1037, 2966, 4497, 1010, 1037, 3604, 4034, 1010, 1037, 3565, 3006, 1010, 1037, 2695, 2436, 1010, 1037, 17078, 1010, 1037, 4157, 4497, 1010, 2019, 3256, 16748, 3286, 11968, 23743, 2099, 1998, 2093, 7884, 1012, 1037, 2430, 2082, 1006, 6358, 13626, 8717, 6819, 25838, 22923, 1007, 2001, 2511, 4500, 1996, 3721, 2004, 1037, 2451, 2082, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 4483, 5368, 1027, 1027, 1027, 102, 101, 102, 101, 3392, 10065, 3049, 2003, 10607, 2296, 2095, 2006, 1996, 3192, 2154, 1998, 1996, 3721, 1010, 2029, 2001, 2318, 1999, 20225, 4915, 1010, 2038, 2042, 4991, 2046, 1037, 3019, 16927, 5398, 1997, 18931, 2015, 1010, 8080, 23898, 1010, 12971, 1010, 18499, 15569, 10586, 1010, 17059, 1010, 2307, 2796, 26808, 13547, 1998, 1037, 3528, 1997, 2060, 5055, 1012, 1996, 2267, 3774, 1997, 2330, 10168, 2015, 1998, 3392, 7732, 16910, 1012, 2417, 13355, 3205, 2462, 2213, 23571, 2004, 2028, 1997, 1996, 3376, 1038, 1030, 1011, 1030, 2082, 13696, 1999, 2634, 1012, 102, 101, 102, 101, 1027, 1027, 5502, 1027, 1027, 102 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1 ]
[ 0.0028218145525296372, 0.0014884055856334683, 0.0006613057450521226, 0.00001847722714863783, 0.011073191921629177, 0.00021493507371335278, 0.0012386069354695286, 0.000763795489754154, 0.0012230015606711053, 0.029403186138401892, 0.01890967188876495, 8.042378973288818e-7, 0.0004722410174048645, 0.008581837161209025, 0.030863398261377722, 0.000257786260560389, 0.01822872266051004, 0.0006662383352233543, 0.00004626810671890403, 0.06238511456158468, 0.044457879240304456, 0.032412829149254654, 0.00041604077462783877, 0.04233542064018359, 0.0002062488966437459, 0.03344524340872163, 8.091546778742341e-7, 0.021395864281296688, 0.0024539688697602126, 0.001657964451557242, 0.10277801579243868, 0.003456256291738417, 0.014395923588798355, 0.1630996942009582, 0.0568694976881295, 0.07734172319357169, 0.05959542706383379, 0.06189704960352307, 0.019363385220457125, 0.0025590776523471957, 0.000033562583683977265, 0.0039668474926923105, 0.00018058383195250472, 0.004283107707016848, 0.0034232581540818386, 0.0278418148934593, 0.01997974446169783, 9.130006267750322e-9, 0.005413167149776808, 0.005420782711554125 ]
[ 101, 102, 101, 102, 101, 1027, 1027, 1027, 10615, 1027, 1027, 1027, 102, 101, 102, 101, 2462, 2213, 23571, 2003, 2019, 8392, 5145, 2511, 2004, 1037, 5068, 2554, 2104, 1996, 2586, 3757, 1997, 2529, 7692, 2458, 1010, 22410, 1012, 1997, 2634, 1012, 1996, 2462, 2213, 2473, 4490, 2004, 2019, 19642, 2303, 2000, 10956, 12016, 2426, 1996, 2367, 2462, 5244, 1012, 1996, 2604, 1997, 11141, 1997, 2462, 2213, 23571, 2003, 12282, 2011, 9389, 14740, 1046, 1012, 4238, 2072, 1010, 1996, 2280, 6605, 2472, 1997, 23236, 3886, 1012, 1996, 2604, 3774, 1997, 2184, 21691, 2015, 1010, 2176, 2231, 4505, 1998, 2093, 3834, 7066, 1999, 2804, 2000, 1996, 2472, 1998, 2048, 4670, 2015, 1997, 1996, 5145, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3447, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2472, 1997, 2462, 2213, 23571, 1010, 1996, 2132, 1997, 1996, 5145, 1010, 2003, 3479, 1998, 2805, 2011, 1996, 14651, 2837, 1997, 1996, 5239, 1997, 3757, 1997, 2529, 7692, 2458, 1012, 1996, 2820, 2038, 2093, 3584, 4670, 2015, 2005, 3834, 3821, 1010, 4041, 1998, 2458, 1998, 2053, 8524, 3721, 1012, 2169, 1997, 1996, 3834, 8497, 2003, 22485, 2011, 1037, 3584, 4513, 19072, 1012, 1996, 2512, 1030, 1011, 1030, 3834, 4972, 2107, 2004, 11073, 2015, 1010, 5971, 1998, 2865, 4262, 1010, 9441, 3821, 1010, 20247, 1998, 3076, 3821, 2024, 2036, 12282, 2011, 4513, 1998, 7197, 2011, 3076, 9528, 1012, 1996, 2436, 3447, 2003, 3344, 2041, 10329, 2302, 1996, 6624, 1997, 4513, 1998, 2003, 3753, 2011, 1996, 2708, 3831, 2961, 1012, 1996, 2700, 2303, 1997, 2493, 1005, 2473, 12093, 2035, 1996, 3076, 3450, 1999, 1996, 3721, 1012, 2462, 2213, 23571, 2038, 4719, 2531, 1003, 2621, 11073, 2015, 1999, 1018, 2420, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 6704, 2006, 2472, 14651, 1027, 1027, 1027, 102, 101, 102, 101, 1049, 8093, 2094, 3843, 1037, 3661, 2006, 2244, 1010, 2297, 1006, 2079, 1018, 1013, 1018, 1013, 2286, 1030, 1011, 1030, 24529, 1012, 1058, 1007, 1007, 8280, 2000, 9389, 14740, 1046, 4238, 2072, 1010, 3472, 1010, 2604, 1997, 11141, 1010, 2462, 2213, 1030, 1011, 1030, 1048, 1012, 2009, 9631, 1024, 1523, 17824, 3691, 2031, 2856, 2000, 23911, 3176, 3715, 1997, 2472, 2462, 2213, 1030, 1011, 1030, 1048, 2000, 11268, 5185, 12044, 2696, 3567, 2005, 1037, 2558, 1997, 2416, 2706, 2007, 3466, 2013, 5641, 1030, 1011, 1030, 5641, 1030, 1011, 1030, 2297, 2030, 6229, 6098, 1997, 3180, 2472, 2030, 2127, 2582, 2344, 1010, 29221, 2003, 5700, 1012, 1524, 1996, 2820, 2106, 2025, 15389, 1996, 2344, 1998, 7703, 2472, 14386, 5960, 2040, 2949, 2010, 2416, 2706, 1997, 5331, 2558, 1010, 2006, 2244, 1022, 2106, 2025, 2681, 2436, 2130, 2044, 4909, 1996, 3661, 1012, 2004, 1037, 2765, 1010, 2045, 2001, 3143, 6724, 2012, 2462, 2213, 1030, 1011, 1030, 1048, 3721, 2005, 2471, 1037, 2733, 1012, 1996, 9989, 2114, 14386, 5960, 1010, 2040, 2366, 2048, 2744, 2004, 2472, 1997, 2462, 2213, 1030, 1011, 1030, 1048, 1010, 8483, 2013, 11265, 11008, 2964, 2000, 28616, 24805, 20511, 1997, 6115, 1012, 1996, 2430, 6819, 20142, 6651, 3222, 2036, 2356, 1996, 17850, 2094, 3757, 2000, 1036, 2128, 8556, 1005, 9989, 1997, 7897, 2114, 14386, 5960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.04403889062960068, 0.00023937176559808766, 0.00011017876450712692, 0.021967574229411247, 0.06667644042212607, 0.04638819571027399, 0.00022449798435061755, 0.00019053374294197023, 0.018904629519478994, 0.0002613333251915108, 0.004929385275169212, 0.0010677509537178448, 0.047237837752414656, 0.006702811138705034, 0.0002467706572246579, 0.005427401257130158, 0.03700093130817831, 0.07453023688745551, 0.041382935515085595, 0.023651303037387238, 0.004299618423581361, 0.000002574881432336175, 0.00003365227146091386, 0.0010614171849942528, 0.000038520891819195854, 0.03921524820012158, 1.0567691081028419e-8, 0.04060287049537607, 0.01139839957517961, 0.025771529813854808, 0.000013450687475011629, 0.00019347666679208738, 0.03681986728336046, 0.000013537915408438092, 0.000992382872622829, 0.0565947636958184, 0.0011012803004853593, 0.00002825923632819782, 0.01846428701182574, 0.022877126872355224, 0.0017036252893767193, 0.022625182674313692, 0.1104665537139133, 0.000018560733026711232, 0.013281806690799324, 0.0000017317070792856848, 0.002338974803396152, 0.09905879514163561, 0.00702260762038761, 0.04278087690214008 ]
[ 1012, 1999, 1037, 3661, 2000, 1996, 3020, 2495, 3187, 1010, 26226, 2278, 3187, 29535, 14115, 6342, 22414, 2078, 2038, 2356, 1996, 3757, 2004, 2000, 2339, 1996, 2553, 2114, 5960, 2003, 2108, 2701, 2043, 3563, 9989, 2031, 2025, 2042, 4660, 1012, 1996, 26226, 2278, 2038, 2579, 6453, 2000, 1996, 2755, 2008, 1996, 2553, 2003, 2108, 2701, 2006, 1996, 3978, 1997, 2019, 1000, 6832, 7514, 1000, 2011, 5960, 1012, 26226, 2278, 4216, 2056, 1996, 3757, 2018, 2579, 5960, 1005, 1055, 7514, 2004, 2345, 1012, 1000, 2302, 4812, 2129, 2064, 2236, 7928, 2022, 2579, 2004, 1996, 2345, 2773, 1029, 1000, 1037, 26226, 2278, 2880, 2356, 1012, 26226, 2278, 4216, 2036, 2056, 2008, 1996, 2820, 1005, 1055, 2604, 1997, 11141, 2018, 5837, 9989, 2114, 5960, 1012, 1000, 2023, 2003, 2025, 2129, 2019, 4812, 2003, 4146, 1010, 1000, 1996, 26226, 2278, 2880, 2056, 1010, 5815, 2008, 1996, 17850, 2094, 3757, 2001, 2000, 2022, 11248, 2005, 2025, 2206, 1996, 7709, 1012, 102, 101, 102, 101, 1027, 1027, 15032, 1027, 1027, 102, 101, 102, 101, 2462, 2213, 23571, 17976, 3180, 2048, 1030, 1011, 1030, 2095, 9827, 2565, 1999, 2968, 1010, 2028, 2095, 3237, 15038, 2565, 1010, 7881, 2565, 1998, 1037, 2193, 1997, 2460, 2744, 9108, 2361, 3454, 1012, 1996, 2968, 8497, 1997, 2462, 2213, 23571, 2024, 11459, 2011, 2414, 1030, 1011, 1030, 2241, 2572, 3676, 2523, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2695, 4619, 2495, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 3252, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2695, 4619, 4746, 1999, 2968, 1006, 18720, 2361, 1007, 1998, 2695, 4619, 4746, 1999, 12943, 3089, 8286, 9961, 2968, 1006, 18720, 4502, 25526, 1007, 2024, 2440, 1030, 1011, 1030, 2051, 5647, 9827, 5352, 1012, 2122, 2024, 2048, 1030, 1011, 1030, 2095, 3454, 1010, 2007, 1996, 2034, 2095, 10917, 2013, 2238, 2000, 2233, 1999, 2093, 2702, 1030, 1011, 1030, 2733, 12241, 20367, 2015, 1010, 2044, 2029, 2493, 13595, 1037, 2048, 1030, 1011, 1030, 3204, 2621, 6970, 9650, 2007, 1037, 2194, 2030, 5502, 1012, 1996, 2569, 6648, 2015, 3253, 1999, 1996, 2117, 2095, 2024, 5446, 1010, 5821, 1010, 3136, 1010, 2529, 4219, 1010, 3001, 1010, 5656, 1998, 5543, 1025, 2096, 1996, 18720, 4502, 25526, 2607, 2493, 2569, 5562, 1999, 12943, 3089, 8286, 9961, 1012, 2607, 1997, 2981, 2817, 1998, 14481, 2024, 2036, 2800, 2241, 2006, 7857, 1012, 102, 101, 2004, 1037, 2112, 1997, 3076, 3863, 2565, 1010, 2493, 5247, 2093, 1030, 1011, 1030, 3204, 2744, 1999, 1037, 3097, 2118, 2076, 1996, 2558, 1997, 2255, 2000, 2285, 1999, 2037, 2117, 2095, 1012, 2296, 2095, 2105, 2753, 2493, 1997, 2462, 2213, 23571, 2024, 3479, 2005, 1996, 3076, 3863, 3454, 2241, 2006, 7857, 1010, 2096, 2105, 2382, 3097, 2493, 2272, 2000, 2462, 2213, 23571, 1012, 2462, 2213, 23571, 2038, 2081, 3076, 3863, 6550, 2007, 2484, 2877, 1038, 2816, 1999, 2885, 1010, 3915, 1010, 2710, 1010, 5264, 1998, 2859, 1012, 1996, 2783, 4256, 4896, 2024, 9686, 3366, 2278, 2449, 2082, 1010, 12431, 2139, 2968, 1010, 3744, 9587, 18639, 2118, 1010, 24964, 5244, 2082, 1997, 2968, 1010, 2647, 2082, 1997, 2968, 1010, 17209, 2449, 2082, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0018827984763604446, 0.04722006964882977, 0.02161331138378411, 0.00033225688869956854, 0.010527580054354425, 0.05181607904159513, 0.0007747661582313899, 0.13825782778867587, 0.0049953625039946626, 0.000011135981543974636, 0.00047464089086313486, 0.0027991627194401325, 0.003277643627119672, 0.00013048554639343279, 0.004892174399542802, 0.008059734056813102, 0.03622477105869457, 0.0004982802011217587, 0.017284494414118154, 0.000014503729465352909, 0.06662492390259984, 0.03974099031916599, 0.0036570247022474803, 0.00008429190528761437, 0.0009741682026166051, 0.005295152997310389, 0.02815100282817216, 0.0004595410337132824, 0.040788797305870476, 0.000035445346224070894, 0.008870474312790522, 0.0005624868452274639, 0.08941875664431617, 0.026541040557924438, 0.000004643139544538172, 0.0001416179982722803, 0.0016640222352459204, 0.053178537680459013, 0.00007772939120946576, 0.0002134824777775093, 0.00019198376457320958, 0.024437762797554784, 0.000015428877969002433, 0.10535249159647754, 0.013522540696468837, 0.0017905434384007405, 0.006396666804196995, 0.06725976034322052, 1.053147621281914e-8, 0.06346160275404548 ]
[ 2820, 2120, 4078, 12108, 1010, 9686, 2278, 25626, 25440, 22451, 1010, 2647, 2449, 2082, 1010, 11222, 2082, 1997, 2968, 1010, 2577, 6701, 2118, 1010, 2118, 1997, 6117, 1010, 11338, 8706, 2118, 1010, 13899, 2118, 1010, 22273, 2118, 1010, 10223, 3567, 2378, 3234, 2118, 1010, 9664, 2449, 2082, 1010, 28776, 3207, 2449, 2082, 1010, 6285, 3683, 4691, 2248, 2449, 2082, 1010, 2118, 1997, 2358, 1012, 26033, 2368, 1010, 8945, 21408, 3490, 2118, 1010, 2771, 2361, 13205, 2278, 8713, 2080, 4487, 21613, 1010, 7571, 2118, 1997, 5543, 1998, 2449, 1010, 2120, 2118, 1997, 5264, 1010, 22883, 2226, 2082, 1997, 5543, 1010, 2118, 1997, 7598, 1010, 7211, 25871, 25862, 2290, 2118, 1012, 102, 101, 1996, 7037, 3014, 2565, 1010, 3253, 1999, 2523, 2007, 1996, 9686, 21906, 2885, 2449, 2082, 1999, 2605, 1010, 2982, 5445, 2013, 2119, 1996, 12769, 2044, 2493, 5247, 1037, 2095, 1999, 2169, 1012, 2055, 2176, 2030, 2274, 2493, 2024, 3479, 2169, 2095, 2005, 1996, 2565, 1012, 2493, 1010, 2044, 7678, 2048, 12241, 20367, 2015, 1006, 2251, 1516, 2244, 1998, 2255, 1516, 2285, 1007, 2012, 2462, 2213, 23571, 1010, 5247, 2048, 13609, 2015, 1006, 2254, 1516, 2089, 1998, 2244, 1516, 2285, 1007, 2012, 9686, 21906, 2885, 1005, 1055, 3000, 3721, 1998, 2709, 2000, 2462, 2213, 23571, 2000, 3143, 1996, 2345, 2744, 2013, 2254, 2000, 2233, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 16134, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 5352, 2024, 4036, 2104, 5408, 7578, 12736, 1997, 2449, 4044, 1010, 4807, 1010, 3247, 4163, 1010, 5446, 1998, 9529, 1010, 5821, 1010, 2529, 7692, 2968, 1010, 3136, 2968, 1010, 2592, 2974, 1998, 3001, 1010, 6143, 2968, 1010, 12943, 3089, 8286, 9961, 2968, 1998, 3423, 2968, 1012, 2493, 2024, 4738, 1999, 2968, 2478, 8921, 1010, 2553, 2913, 1010, 3934, 1010, 9656, 1010, 2968, 2399, 1998, 2535, 3248, 2104, 1037, 20001, 25353, 4571, 8286, 1012, 2027, 2024, 16330, 2241, 2006, 14912, 1010, 3934, 1010, 19461, 11254, 1010, 18216, 1998, 2465, 6577, 2104, 1037, 5816, 26886, 2291, 1012, 1996, 3834, 4083, 2003, 20585, 2011, 1996, 2536, 2444, 3934, 1010, 2968, 6479, 1010, 4113, 8921, 1998, 10266, 2007, 9441, 1998, 3068, 4177, 7362, 2011, 1996, 2536, 9528, 1012, 2493, 2036, 2131, 1037, 3382, 2000, 3073, 24853, 2000, 2536, 3316, 1998, 2131, 3825, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2695, 4619, 4746, 2005, 12706, 1027, 1027, 1027, 102, 101, 102, 101, 2248, 4746, 1999, 2968, 2005, 12706, 1006, 12997, 22984, 1007, 2003, 1037, 2028, 1030, 1011, 1030, 2095, 1010, 2440, 1030, 1011, 1030, 2051, 15038, 4746, 2005, 12706, 1010, 3253, 2012, 2462, 2213, 23571, 1005, 1055, 2053, 8524, 3721, 1012, 1996, 4746, 14456, 2069, 5347, 2007, 1037, 6263, 1997, 2274, 2086, 2658, 3325, 1012, 1996, 2607, 3774, 1997, 2176, 2184, 1030, 1011, 1030, 2733, 3408, 2164, 1037, 2048, 2000, 2093, 1030, 1011, 1030, 2733, 12116, 2012, 2028, 1997, 1996, 4256, 5534, 1997, 2462, 2213, 23571, 1012, 102, 101, 1996, 2551, 10489, 1005, 4746, 1006, 1059, 8737, 1007, 1010, 3253, 2012, 1996, 2053, 8524, 3721, 1010, 2003, 1037, 2112, 1030, 1011, 1030, 2051, 4746, 2881, 2005, 12706, 2383, 1037, 6263, 1997, 2093, 2086 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.01792971391123532, 0.003310985134796571, 0.003647411715399805, 0.03611825549587916, 0.027169061675396147, 0.000006104549095509775, 0.02538565948969615, 0.00008224644753378337, 0.038189914310685094, 0.013417201948164486, 0.00011189079845453535, 0.061623887638361276, 0.0017800263754167466, 0.08813605794884599, 0.11388985062096693, 0.006911610986837571, 2.10227131137364e-7, 0.01673727682837201, 0.0002275038025774508, 0.0011299058447363562, 0.0163615800335482, 0.0020252132761889746, 0.05347906503668194, 1.4298443368756784e-8, 0.007975990948424501, 0.037815994528579804, 0.00035155126966969713, 0.00032267683574222834, 0.0481822363522076, 0.1019074730884611, 0.000011324296189562269, 0.00000753910704145373, 0.007785493915528779, 0.000008323953112600476, 0.015640548399891364, 0.000036429931076582234, 0.008595665598549325, 0.08883172814416827, 0.024172685904532327, 0.07601771471915221, 0.007003079235882712, 0.0019225001895856468, 0.00005451379839918642, 0.0002624123068709413, 0.0033873164572364297, 0.03052662041190445, 0.006732965679090073, 0.0046724075156402345, 0.00002303507629512798, 0.00008112394232333568 ]
[ 2658, 3325, 1012, 2009, 3774, 1997, 3157, 3408, 2008, 14082, 2005, 2676, 2706, 1012, 102, 101, 2968, 2458, 8497, 1006, 9108, 2361, 1007, 2024, 22701, 2081, 3454, 2000, 3345, 12706, 1999, 3563, 3068, 1010, 2231, 1998, 2512, 1030, 1011, 1030, 10605, 8593, 1012, 2122, 3454, 1010, 2029, 4050, 2197, 2093, 2000, 2274, 2420, 1010, 2024, 7661, 5084, 2011, 3395, 2030, 4539, 2177, 1012, 2105, 2753, 2000, 3438, 3454, 2024, 4146, 2296, 2095, 1012, 1037, 2028, 1030, 1011, 1030, 2095, 2236, 2968, 2565, 2003, 3253, 2083, 7484, 9823, 1012, 2004, 1037, 4117, 6349, 2007, 1996, 3757, 1997, 4721, 1010, 1037, 2416, 1030, 1011, 1030, 3204, 2236, 2968, 4746, 2003, 4146, 2005, 4721, 3738, 2000, 6509, 2037, 2476, 6653, 2000, 5971, 4753, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 7881, 1027, 1027, 1027, 102, 101, 102, 101, 3507, 4746, 1999, 2968, 1006, 1042, 9737, 1007, 2003, 1037, 2176, 1030, 1011, 1030, 2095, 11316, 4746, 1999, 2968, 2318, 1999, 2456, 1012, 5347, 2007, 3040, 1005, 1055, 5445, 2030, 3330, 8324, 5445, 2024, 7792, 2005, 9634, 1012, 2096, 1996, 10915, 2607, 2147, 2003, 10607, 1999, 1996, 2034, 2095, 1998, 2569, 6648, 1999, 1996, 2117, 2095, 1010, 1996, 2470, 9459, 4627, 1999, 1996, 2927, 1997, 2353, 2095, 2044, 1037, 7721, 7749, 1012, 2493, 2040, 2031, 2949, 18720, 22117, 2013, 2151, 1997, 1996, 2462, 5244, 2024, 4914, 3495, 2000, 1996, 2117, 2095, 1012, 1996, 2569, 6648, 2015, 3253, 2024, 3247, 4163, 1010, 5543, 1010, 5446, 1998, 9529, 1010, 2529, 4219, 2968, 1010, 2592, 2974, 1998, 3001, 1010, 5821, 2968, 1010, 3136, 2968, 1998, 6143, 2968, 1012, 1996, 2820, 2515, 2025, 3715, 15413, 9883, 2005, 7881, 2565, 1999, 2804, 2000, 4346, 2489, 21071, 4322, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10385, 1027, 1027, 1027, 102, 101, 102, 101, 2462, 2213, 23571, 2001, 4396, 2053, 1012, 1018, 2011, 27166, 9818, 1030, 1011, 1030, 2694, 15136, 1005, 1055, 2327, 1038, 1030, 1011, 1030, 2816, 1999, 2634, 1999, 2262, 1998, 2011, 18221, 5794, 2335, 1999, 2634, 1005, 1055, 2327, 2753, 2449, 2816, 1997, 2249, 1012, 1996, 2820, 2001, 4396, 2053, 1012, 1019, 2011, 1996, 2449, 2651, 1999, 1996, 2862, 1997, 2753, 2190, 2449, 2816, 1997, 2249, 1998, 4396, 2053, 1012, 1020, 2011, 10922, 21619, 2692, 1005, 1055, 2327, 2270, 1038, 1030, 1011, 1030, 2816, 1999, 2634, 1999, 2355, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 9634, 1027, 1027, 1027, 102, 101, 102, 101, 9634, 2000, 1996, 2695, 4619, 3454, 1998, 7881, 2565, 2003, 2589, 2083, 1996, 2691, 9634, 3231, 1006, 4937, 1007, 1010, 2029, 2003, 10776, 4146, 2011, 1996, 2462, 5244, 1999, 1996, 3204, 1997, 2281, 2296, 2095, 1012, 5097, 2024, 21353, 2241, 2006, 4937, 7644, 1010, 24105, 6344, 1998, 2147, 3325, 1012, 1996, 3635, 4270, 2445, 2005, 2169, 1997, 2122, 6177, 9783, 2169, 2095, 1012, 1996, 5347, 2024, 2170, 2005, 2177, 10287, 1998, 3167, 7636, 1010, 4146, 1999, 2536, 3655, 1997, 2634, 1999, 1996, 2706, 1997, 2337, 1998, 2233, 1012, 1996, 2345, 4989, 2003, 2241, 2588, 1996, 2836, 1999, 4937, 1010, 24105, 6344, 1010, 2147, 3325, 1998, 2836, 1999, 2177, 6594, 1998, 3167, 4357, 1012, 20247, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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 ]
[ 0.0004356329431732607, 0.020729379927922925, 0.01019577250637856, 0.006462501614749752, 0.0005337086302172421, 0.006220442475918593, 0.010004796228986852, 0.00029970659439249514, 0.0030088458164263805, 0.08202405331237667, 0.000023716676205724883, 0.0013961189033905503, 0.02102758093306936, 0.07248657640189295, 0.07194597616585804, 0.0292657027788232, 0.00043413471819367546, 0.010741166846280372, 0.0024064875009846875, 0.0007919051458265365, 0.00004276167169770019, 0.0595374569658223, 0.000007831710552294713, 0.033651273968288646, 0.040140181774847315, 0.013755466643457693, 0.010448859004168117, 0.012015804182108968, 0.006503940353405332, 0.019120814288018855, 0.011517628720224602, 0.001489384115331502, 0.012542167041576591, 0.001947997987507878, 0.023489697074088996, 0.02784069259802363, 0.03966781741121717, 0.040433389424475386, 0.04826069038489913, 0.00006880280133083366, 0.05362908845369195, 0.01808064507734086, 0.13277276129136184, 0.004402860949334275, 0.0002029759994857456, 0.02613150225895165, 0.0004868903991620245, 0.0022903133832814187, 0.0005659448564782516, 0.008520153088801082 ]
[ 1996, 12997, 22984, 2565, 2024, 2589, 2241, 2006, 20917, 2102, 3556, 1010, 2147, 6337, 1998, 3167, 4357, 1012, 102, 101, 102, 101, 1027, 1027, 2591, 10198, 1027, 1027, 102, 101, 102, 101, 2462, 2213, 23571, 2038, 2042, 2920, 1999, 2116, 2591, 11107, 1999, 5792, 2007, 22165, 1012, 1037, 3584, 2837, 1000, 1038, 3270, 24968, 3148, 1000, 2001, 2719, 2000, 4287, 2041, 2122, 11107, 1012, 2004, 1037, 2112, 1997, 4639, 8433, 3049, 1010, 2035, 1996, 3667, 1998, 24043, 1999, 1996, 3721, 2020, 4036, 2000, 3191, 1998, 4339, 1012, 3944, 2082, 1998, 2476, 8606, 2024, 3024, 2005, 1996, 2104, 18098, 12848, 9463, 5999, 2493, 1997, 1996, 9632, 4731, 1012, 1037, 1056, 11387, 4533, 2223, 2977, 2170, 2004, 9396, 2452, 2003, 4146, 2296, 2095, 2007, 2382, 2780, 5994, 5539, 2493, 1012, 1996, 4636, 2992, 2013, 2023, 2724, 2003, 21183, 21758, 2005, 2536, 2591, 11107, 2107, 2004, 6502, 2458, 2012, 2352, 2816, 1998, 18504, 2015, 1010, 2966, 3409, 1010, 7904, 7574, 1998, 10460, 2005, 2495, 1997, 2104, 18098, 12848, 9463, 5999, 2082, 2336, 1012, 102, 101, 1996, 2820, 4107, 2460, 2744, 9108, 2361, 3454, 2006, 4483, 2968, 1998, 6351, 6089, 1012, 1996, 2803, 1997, 8012, 2005, 2449, 15169, 2001, 2275, 2039, 1999, 2249, 2008, 17976, 2731, 3454, 1998, 9656, 2006, 2449, 15169, 1012, 1996, 2971, 8038, 22895, 2050, 2003, 2218, 1999, 5792, 2007, 2116, 22165, 2408, 2634, 1010, 2073, 2493, 2556, 7300, 2005, 3314, 4320, 2011, 1996, 22165, 1012, 102, 101, 102, 101, 1027, 1027, 3076, 2166, 1027, 1027, 102, 101, 102, 101, 1996, 2082, 2003, 3615, 2000, 2004, 1005, 2002, 2140, 1006, 1048, 1007, 1005, 2011, 1996, 2493, 1999, 17211, 2021, 5959, 2296, 2617, 1997, 2037, 7470, 2000, 4555, 1012, 1000, 1996, 15117, 2024, 17266, 7352, 2319, 6593, 1000, 1999, 2035, 1996, 5609, 2182, 1998, 26136, 6593, 8787, 3012, 1999, 2151, 4847, 2003, 5224, 1012, 2296, 2465, 1010, 3116, 1010, 27842, 2030, 14912, 2024, 3264, 1999, 3823, 1012, 2005, 2742, 1010, 2612, 1997, 1016, 9737, 2009, 2097, 2022, 2410, 1030, 1012, 1030, 5354, 1030, 1012, 1030, 5354, 1012, 102, 101, 19962, 9331, 3366, 1010, 1037, 3076, 2837, 1010, 11791, 1998, 9319, 2009, 5097, 2005, 1996, 2820, 2451, 102, 101, 2158, 14081, 2003, 2462, 2213, 23571, 1005, 1055, 3296, 2968, 2782, 2218, 1999, 2254, 1012, 1996, 2093, 1030, 1011, 1030, 2154, 2724, 6184, 2116, 2968, 15795, 1010, 4105, 6465, 2015, 1998, 2060, 6970, 2267, 19461, 11254, 1998, 6479, 1012, 5950, 2003, 2019, 3296, 4189, 4146, 2011, 2493, 2012, 1996, 8902, 6371, 21368, 2226, 4160, 7662, 2015, 1005, 2267, 5286, 1010, 3230, 2011, 1996, 2236, 2270, 1997, 1996, 2103, 1012, 2208, 19753, 2024, 2275, 2039, 2012, 1996, 4189, 2000, 4287, 2041, 17330, 3006, 2470, 1012, 3520, 5737, 2102, 1010, 1996, 3296, 4105, 6465, 1997, 2462, 2213, 23571, 9390, 2070, 1997, 1996, 3361, 4177, 1998, 22171, 1997, 1996, 2406, 2007, 3183, 2493, 2131, 2019, 4495, 2000, 11835, 1012, 102, 101, 1000, 2074, 5572, 1000, 9875, 2572, 5313, 1998, 1000, 13761, 1998, 6805, 1000, 2024, 2048, 7884, 1999, 1996, 3721, 2029, 2020, 2318, 2004, 3076, 13252, 1998, 2024, 2853, 2000, 1996, 2279, 14108, 2296, 2095, 1012, 1996, 20213, 3526 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.01846048728683379, 0.00014763683031627026, 0.0006493470644640801, 0.059745816288488955, 0.02062396084368347, 0.09226965586104283, 0.021914076860081608, 0.007957750257068796, 0.00003091456420632773, 0.030593219399543396, 0.002797912963092577, 0.0028507943768301862, 0.000035983764240144114, 0.07854413339161184, 0.0540774580035452, 0.06112865904212683, 0.021503447607400153, 0.03143868400631698, 0.0006339177904380711, 0.07290714530267416, 0.052966543182061246, 0.000003529193105717818, 0.0013364113118359672, 0.0030396683624331513, 0.007292294557356402, 0.01231028561234098, 0.04686338547024589, 0.0003171331116466418, 0.0036362592462601327, 0.014994098300988972, 0.006945290704876563, 0.07677258286944398, 0.0004742737046371457, 0.08083392258786495, 4.4992077776175193e-7, 0.0019045462516461718, 0.011941663264370368, 0.0006669875167862446, 0.0001177855038882551, 0.013931312264150954, 9.504939954919132e-9, 0.00028434635933309143, 0.00044356925420412145, 0.03253478978091732, 0.013853017007292646, 0.0002317695759182394, 0.00040672033733149754, 0.0006930211283587356, 0.03565049109394684, 0.001242841517034601 ]
[ 17976, 1037, 2971, 2170, 1000, 12170, 2480, 2791, 1000, 1010, 2073, 2035, 6818, 2024, 2445, 1037, 6534, 3007, 1997, 1576, 2456, 2000, 2448, 2151, 2449, 1999, 1996, 3721, 2005, 2048, 2420, 1998, 7796, 11372, 1012, 1996, 3076, 2837, 1000, 13675, 14728, 5897, 3007, 1000, 3216, 1037, 8203, 4636, 1010, 1999, 2029, 2060, 2493, 1997, 1996, 14108, 2064, 15697, 1012, 1996, 6752, 1006, 4698, 24667, 12789, 1007, 2003, 4498, 2448, 1998, 3266, 2011, 2493, 1010, 2007, 1996, 6502, 3024, 2011, 1996, 2820, 1998, 2003, 9530, 20771, 2135, 4396, 2190, 6752, 2426, 2035, 2462, 2213, 1005, 1055, 1012, 102, 101, 13075, 7507, 2015, 3567, 1010, 1037, 2093, 1030, 1011, 1030, 2154, 1030, 1011, 1030, 2146, 2724, 2218, 2875, 1996, 2203, 1997, 2244, 2296, 2095, 2003, 1996, 3296, 3451, 1998, 2998, 2782, 1997, 2462, 2213, 23571, 1012, 1037, 4556, 3451, 2305, 1000, 9779, 3217, 4819, 1000, 2003, 7362, 2011, 1996, 2462, 2213, 23571, 3127, 1997, 11867, 2594, 6097, 4710, 1999, 1996, 3204, 1997, 2257, 1012, 2009, 27397, 2444, 3065, 1997, 4556, 2840, 2164, 2482, 19833, 2594, 1010, 18221, 17681, 2278, 1010, 5154, 1010, 6150, 1998, 2536, 4556, 2796, 11278, 1012, 1996, 2820, 1005, 1055, 3153, 2252, 1000, 6721, 3328, 1000, 22933, 2015, 3153, 9656, 5570, 1998, 10438, 2754, 3065, 2076, 2350, 7519, 1012, 1996, 6918, 2015, 2252, 1000, 11113, 4048, 10736, 4817, 3775, 1000, 10438, 2754, 3248, 1998, 2395, 3248, 1999, 9269, 1998, 2394, 1012, 1996, 26721, 26895, 24746, 2998, 2724, 2170, 2004, 9033, 9126, 4063, 2003, 2218, 2802, 1996, 2095, 1999, 1037, 2223, 4289, 1012, 1996, 2820, 2998, 2136, 17257, 1999, 2087, 1997, 1996, 2759, 2267, 2998, 6010, 2164, 1996, 6970, 1030, 1011, 1030, 2462, 2213, 3113, 1006, 6369, 8167, 4095, 1007, 2218, 2076, 2254, 2296, 2095, 1012, 102, 101, 20904, 14852, 1010, 2019, 3296, 3068, 1030, 1011, 1030, 16926, 8290, 6465, 2003, 2218, 2012, 1996, 2053, 8524, 3721, 1997, 2462, 2213, 23571, 1012, 2023, 2724, 3640, 1037, 4132, 2073, 14953, 12857, 2013, 5971, 2088, 1004, 16926, 2064, 3863, 4784, 2008, 2024, 2183, 2000, 4338, 1996, 2925, 1997, 2634, 4297, 1012, 102, 101, 102, 101, 1027, 1027, 3862, 9441, 1027, 1027, 102, 101, 102, 101, 17137, 12274, 22218, 2158, 19792, 8988, 1010, 25941, 3208, 1010, 2040, 2001, 7129, 2005, 10078, 7897, 102, 101, 6683, 16161, 4095, 20512, 1010, 2472, 1010, 5821, 7300, 2012, 5799, 2378, 1010, 9706, 6305, 1010, 2456, 102, 101, 26445, 2102, 7221, 10450, 1010, 2343, 1011, 4021, 3534, 2012, 26129, 2194, 1010, 2901, 102, 101, 26445, 2102, 11721, 10623, 1010, 3237, 2472, 1030, 1011, 1030, 3617, 2012, 1044, 2102, 2865, 3132, 1010, 2857, 102, 101, 22827, 7662, 2361, 5960, 1010, 6605, 2472, 2012, 8915, 6494, 22190, 1010, 2889, 102, 101, 12436, 24032, 3669, 1038, 12707, 1010, 3580, 1030, 1011, 1030, 2343, 1004, 12935, 2080, 1010, 4021, 1030, 1011, 1030, 3534, 7325, 2407, 1010, 3779, 1004, 3779, 1010, 2807, 102, 101, 2771, 11961, 29536, 2527, 1010, 2708, 5211, 2961, 2012, 4098, 2166, 5427, 2194, 3132, 1010, 2807, 102, 101, 17027, 17137, 22655, 2290, 1010, 3026, 3580, 2343, 1025, 12195, 2449, 3131, 3003, 1011, 18726, 2167, 14074, 14735, 2012, 6178, 3351, 25300, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00020590561860085775, 0.000006668764363254179, 0.12108307527057174, 0.0000140028127547105, 0.000004438780530662227, 0.12062439345561647, 0.00002135222823902457, 0.000005697183805684272, 0.000349789500648508, 8.570195687564178e-9, 0.0026847353834110192, 0.026705000062209102, 0.09185101616271368, 0.00006994603322526794, 0.0004915042733943021, 0.05459404984262973, 0.07236951411711548, 0.0323213151309593, 0.020538664070658314, 0.0010172401628671273, 0.04555091450075967, 0.0030258041467203984, 0.0005112237367512037, 0.0644086557277995, 0.014812420087089405, 0.00944664080563736, 0.00007715001607319646, 0.003948335297452407, 0.0076441505304874835, 0.014495246566785051, 0.008699245703558832, 0.04345233207395013, 8.570195687564178e-9, 0.009091007965915011, 0.04820888126828042, 0.0021080768875768015, 0.0003005966552220741, 8.570195687564178e-9, 0.000023625853472503142, 0.000009918209759448933, 0.06659009466642847, 0.0002340165494132421, 0.013052552606919562, 0.06592181765879397, 0.000002293939781003685, 0.022038019722497262, 1.5637201677400354e-7, 1.3615553865193604e-7, 0.0024282578634416746, 0.008960093866977232 ]
[ 2857, 102, 101, 11948, 26095, 2361, 3473, 2389, 102, 101, 2784, 4817, 11721, 10623, 1010, 5766, 1997, 15544, 5737, 3995, 102, 101, 5637, 4017, 3089, 1045, 10532, 1010, 18245, 3220, 102, 101, 11721, 4648, 2615, 12943, 2906, 13476, 1010, 11139, 2278, 2942, 2578, 11360, 2286, 2250, 1015, 102, 101, 23624, 11563, 5960, 2238, 3900, 1010, 7027, 2449, 2132, 24582, 28775, 2924, 1010, 2889, 102, 101, 5185, 6444, 16469, 3366, 16566, 2078, 1010, 3910, 1004, 5766, 1010, 5041, 17084, 2177, 1010, 2639, 102, 101, 2572, 21898, 9353, 8167, 3148, 1010, 2132, 1997, 2797, 7177, 4353, 1998, 3006, 2132, 1011, 17212, 2072, 1998, 4654, 4502, 2102, 2449, 1010, 2019, 2480, 1010, 2826, 102, 101, 26008, 4095, 11498, 15714, 2102, 1010, 5971, 3026, 3580, 2343, 1010, 28939, 5332, 3136, 2012, 1059, 3619, 3795, 1010, 2786, 102, 101, 11948, 9953, 17111, 2094, 1010, 3237, 3580, 2343, 1004, 2708, 4353, 2961, 2012, 28144, 10258, 10975, 14074, 14735, 2166, 1010, 2826, 102, 101, 9350, 5267, 2232, 8785, 3126, 1010, 2522, 1030, 1011, 1030, 4553, 2121, 1006, 2007, 2336, 1007, 2012, 9779, 3217, 4048, 2166, 2495, 1010, 2826, 102, 101, 18887, 11320, 6200, 1010, 2236, 4256, 1010, 2634, 28940, 4140, 11638, 1010, 6957, 3007, 1010, 2687, 102, 101, 1038, 28074, 19177, 2099, 1010, 4256, 2012, 3968, 2226, 11365, 5668, 1010, 2639, 102, 101, 16985, 4609, 14684, 5603, 1010, 9108, 1004, 5766, 2012, 1052, 27698, 2777, 15509, 2166, 5427, 5183, 1012, 1010, 2807, 102, 101, 6819, 3726, 2243, 11721, 3126, 1010, 5766, 1516, 15624, 4168, 1012, 4012, 1010, 2857, 102, 101, 11113, 4048, 18902, 1038, 3270, 3726, 1010, 5766, 2012, 10556, 2099, 10736, 2797, 7177, 1010, 2727, 102, 101, 26498, 23017, 2078, 9617, 3372, 3270, 1010, 5766, 1004, 9108, 2012, 18558, 6508, 2015, 17531, 2080, 1010, 2889, 102, 101, 11382, 22231, 2099, 16031, 28225, 9103, 1010, 3580, 2343, 1004, 6605, 4256, 18558, 6508, 2015, 10552, 1024, 7027, 1010, 18133, 2290, 1004, 12708, 1010, 2727, 102, 101, 6819, 13716, 10210, 9080, 1010, 6605, 2472, 1011, 2634, 4942, 9983, 2012, 19186, 9440, 2634, 1010, 2889, 102, 101, 8223, 9953, 1043, 1010, 6605, 2472, 1010, 10751, 2497, 3361, 2578, 3132, 1010, 2826, 102, 101, 23624, 4095, 20512, 1010, 17917, 2361, 1013, 25022, 2080, 1006, 16101, 1007, 1011, 3795, 22939, 3351, 2080, 2449, 2578, 1010, 4021, 3534, 2555, 1010, 2807, 102, 101, 2019, 6279, 5003, 15689, 18663, 3089, 1010, 23408, 2361, 2012, 16233, 2361, 2304, 16901, 5211, 10489, 1010, 2857, 102, 101, 26445, 2696, 23706, 15775, 22272, 12821, 3723, 1010, 6605, 2472, 1004, 2708, 5211, 2961, 2012, 8934, 5400, 3007, 1010, 2807, 102, 101, 17027, 17768, 17157, 29246, 1010, 6605, 2472, 2012, 26261, 3363, 2099, 2634, 1010, 2889, 102, 101, 11948, 12848, 1047, 15006, 2721, 1010, 6605, 2472, 2012, 11320, 4328, 3709, 2015, 2634, 3132, 1006, 2631, 2011, 19087, 1007, 1010, 2889, 102, 101, 8223, 18494, 17712, 8411, 1010, 9108, 1004, 5766, 1010, 23624, 12952, 8323, 1010, 27974, 1010, 2901, 102, 101, 2469, 4095, 2175, 21095, 1010, 2634, 2132, 1011, 23903, 6502, 1998, 2613, 7045, 102, 101, 102, 101, 102, 101, 1027, 5185, 8915, 9335, 5937, 1027, 102, 101, 102, 101, 5185, 8915, 9335 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 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, 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, 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, 1, 1, 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, 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, 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, 1, 1, 0, 0, 0, 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, 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, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0 ]
[ 0.0493936841746964, 0.000024288511806824354, 0.0003756925592553823, 0.00008920908520978003, 0.0003224712219798193, 0.004226408130975722, 0.05068436184463946, 0.0005771359315547012, 0.04105749464861674, 0.16181393795375112, 0.010272695133668837, 0.0275231440697295, 0.00223000760870362, 0.0009024588214568539, 0.01863578630950942, 0.00015199037316967296, 0.006061250452652391, 0.004517835348770882, 0.006781927413355482, 0.000690397239182833, 0.06434705201691629, 0.00003312685677087987, 0.012608571284510216, 0.05789784201391366, 0.021868428590612124, 0.06662348175669007, 0.039821886430547446, 0.00025567809713568303, 0.00005412260932033231, 0.000024590031746723506, 0.02160788837116, 0.001924200806848243, 6.950139697808701e-9, 0.004179452680483722, 0.00025695096224036886, 0.02102834888474728, 0.00011200612222249779, 0.0036563993824000477, 0.0020997543710848028, 0.001594017751874022, 0.021980117351680768, 0.006011841532517926, 0.0007681789357441653, 0.01995595811152799, 0.13242225324197457, 0.06799010103286382, 0.02788571125832031, 0.00036591630401693515, 0.00016255573264405086, 0.016131383694659898 ]
[ 5937, 2003, 1037, 2048, 1030, 1011, 1030, 11676, 12230, 2160, 2328, 1999, 7845, 2029, 2003, 28603, 2306, 1996, 5286, 1997, 1996, 21541, 5162, 1999, 5264, 1012, 2076, 1996, 2479, 1005, 1055, 5336, 3690, 1010, 2009, 2366, 2004, 1996, 5039, 1997, 1996, 5336, 3187, 2030, 2708, 3187, 1012, 2144, 1996, 5069, 1997, 1996, 2110, 1997, 5264, 1999, 3851, 1010, 2009, 2038, 2042, 1996, 2880, 5039, 1997, 1996, 3539, 2704, 1997, 5264, 1010, 2295, 3904, 1997, 5264, 1005, 1055, 3539, 7767, 2038, 2412, 2973, 2045, 1012, 2362, 2007, 1996, 21541, 5162, 1010, 2009, 2001, 11391, 2094, 1037, 2120, 6104, 2006, 2403, 2337, 2826, 1012, 102, 101, 102, 101, 1027, 1027, 2171, 1027, 1027, 102, 101, 102, 101, 1996, 2171, 1997, 1996, 2160, 1010, 5185, 8915, 9335, 5937, 1010, 2965, 1000, 11867, 7770, 26797, 2099, 1997, 8915, 9335, 5937, 1000, 1999, 1996, 12605, 2653, 1012, 1996, 12605, 2773, 14262, 2072, 2030, 5185, 2965, 1000, 11084, 1025, 21864, 17340, 5054, 3401, 1025, 11867, 7770, 26797, 2099, 1025, 8294, 1000, 2030, 1037, 1000, 22330, 15460, 5397, 1000, 1006, 2242, 2008, 17771, 3086, 2011, 2049, 7987, 8591, 2937, 5666, 2030, 5053, 1025, 1037, 2803, 1997, 8432, 1010, 3037, 1010, 2030, 17005, 1007, 8915, 9335, 5937, 1010, 2029, 2965, 1000, 2712, 2237, 1000, 1999, 27344, 1010, 2001, 1996, 2171, 1997, 2019, 2220, 2103, 2006, 1996, 2609, 1997, 2715, 5264, 1012, 2651, 1010, 2009, 2003, 2109, 2004, 2019, 19626, 2005, 5264, 1012, 1996, 2160, 2001, 2761, 6414, 2124, 2004, 1996, 2880, 5039, 1997, 1996, 2708, 3187, 1997, 5264, 1006, 2030, 1996, 5336, 3187, 1997, 5264, 1013, 1996, 18849, 7617, 1007, 1998, 2106, 2025, 2031, 2049, 2219, 2171, 1012, 1996, 2110, 1997, 5264, 2001, 10116, 1998, 1996, 2034, 3539, 2704, 3389, 13970, 2319, 6300, 2860, 5071, 2436, 1999, 2238, 3851, 1010, 2044, 2029, 1996, 2160, 1010, 2029, 2038, 2468, 1996, 2880, 5039, 1997, 1996, 3539, 2704, 1010, 2038, 2042, 3985, 2315, 5185, 8915, 9335, 5937, 1010, 2096, 1996, 2231, 2160, 2038, 2042, 3985, 4096, 2004, 1996, 21541, 5162, 1010, 2029, 2965, 4186, 1012, 102, 101, 102, 101, 1027, 1027, 2640, 1027, 1027, 102, 101, 102, 101, 1996, 2810, 1997, 1996, 21541, 5162, 5264, 1006, 2059, 2170, 2231, 2160, 1007, 1998, 5185, 8915, 9335, 5937, 2001, 3641, 2011, 1996, 3099, 1997, 1996, 18849, 7617, 1010, 2909, 4302, 2358, 1012, 2577, 2030, 2094, 1010, 2044, 1996, 2434, 3099, 1005, 1055, 5039, 2018, 2000, 2022, 7002, 1999, 8165, 2000, 2191, 2126, 2005, 3481, 24549, 2006, 1996, 2940, 2008, 6468, 2049, 2171, 1012, 5185, 8915, 9335, 5937, 2001, 2881, 2011, 2198, 5406, 28564, 2271, 11338, 26416, 2099, 1006, 11523, 1516, 4976, 1007, 1010, 1037, 2942, 3992, 2040, 2001, 2805, 3237, 3992, 1998, 9133, 1997, 24948, 1997, 1996, 18849, 7617, 1010, 1998, 2328, 4321, 2478, 2796, 20462, 4428, 2013, 3841, 3597, 9890, 2078, 1012, 2009, 2001, 2949, 1999, 7845, 1012, 102, 101, 1037, 1015, 1030, 1010, 1030, 5174, 1030, 1011, 1030, 2675, 1030, 1011, 1030, 7924, 1006, 2459, 1030, 1010, 1030, 2199, 5490, 3027, 1007, 2048, 1030, 1011, 1030, 11676, 12230, 2160, 1516, 2411, 2170, 1037, 27563, 1999, 5264, 1516, 2007, 2647, 1998, 4004, 2838, 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, 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, 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, 0, 0, 0, 0 ]
[ 0.030118676576163916, 0.02479699369600963, 0.00006622056327128061, 0.00014731789878684147, 0.016865388279703526, 0.003909513396448995, 0.00025910525509888676, 0.032090561550471734, 0.00010432003109308761, 0.0038711155173440006, 0.00038536515649494914, 0.12958226768269476, 0.005924377219352077, 0.017628069668111746, 0.01361285558384779, 0.000012099996629993804, 0.00005247400051870618, 0.013693332015179355, 0.00003198238364295717, 0.010894160741638688, 0.00010295517697922947, 0.027008159352850857, 0.002654772511244787, 0.06025778165606324, 0.041220364888972495, 0.0003711769688625289, 0.13984302308150284, 0.0048076918724835665, 0.030916707381166607, 0.0001738803158066601, 0.019141895432267002, 0.000009016344927803054, 0.006012281848030078, 0.02382181863128523, 0.058654843262271425, 0.01687264924871261, 0.039266422971290994, 0.005694906638877123, 0.0007720362602455546, 0.00032655735820453683, 0.00086649190252739, 0.00000360114239828478, 0.000059683076730824234, 0.051940876221403254, 0.00005514768927846755, 0.000009633961211504006, 0.009087618211180681, 0.07444931536529695, 0.014322384685984207, 0.06723010932944021 ]
[ 5185, 8915, 9335, 5937, 2038, 1037, 23476, 9621, 5398, 1997, 2784, 26153, 2015, 4193, 2430, 2542, 7258, 1012, 3862, 6549, 2838, 2421, 13540, 2006, 2049, 3356, 2504, 1010, 2019, 17796, 7227, 10877, 2007, 1037, 8150, 1997, 2789, 1998, 2530, 11584, 17366, 1010, 1998, 1037, 2822, 4231, 4796, 1006, 1037, 8206, 11909, 1007, 2006, 1996, 2311, 1005, 1055, 2117, 2723, 1012, 2348, 2261, 2636, 4839, 7175, 1996, 4231, 4796, 1005, 1055, 2810, 1998, 8192, 1010, 2009, 2003, 2124, 2000, 2031, 2081, 2049, 3311, 1999, 1996, 2160, 1999, 1996, 4120, 1998, 2000, 2031, 2042, 2881, 1998, 2328, 2011, 2520, 25430, 10354, 3790, 1010, 1037, 3653, 1030, 1011, 1030, 2088, 2162, 2462, 4012, 13876, 26611, 1997, 2231, 2160, 1998, 1037, 2658, 7390, 5859, 1012, 2009, 2003, 3833, 1997, 15898, 2389, 1010, 5572, 2243, 1998, 21442, 4630, 2072, 3536, 1012, 1999, 1996, 2690, 1997, 1996, 11202, 1999, 2392, 1997, 1996, 2160, 1010, 2045, 2003, 1037, 5318, 6770, 2008, 2001, 2761, 2109, 2011, 3586, 1030, 1011, 1030, 4567, 17744, 1012, 1996, 2160, 2001, 11391, 2094, 2362, 2007, 1996, 21541, 5162, 2004, 1037, 2120, 6104, 2006, 2403, 2337, 2826, 1012, 102, 101, 5185, 8915, 9335, 5937, 2001, 2025, 2109, 2005, 1037, 2193, 1997, 2086, 1998, 3062, 2046, 27799, 1012, 2009, 2059, 9601, 6418, 2090, 2294, 1998, 2233, 2263, 2011, 18133, 2290, 22283, 2104, 1996, 10429, 1997, 4944, 19167, 2061, 2232, 1012, 2004, 1996, 2434, 2192, 1030, 1011, 1030, 19275, 7227, 13540, 1998, 15747, 2015, 2006, 1996, 2034, 1030, 1011, 1030, 11676, 26153, 2018, 2042, 5591, 2011, 2744, 7616, 1010, 23936, 9587, 21285, 2098, 2013, 1996, 23728, 2081, 2007, 2019, 14794, 1030, 1011, 1030, 3459, 17564, 2020, 2109, 1012, 4751, 2006, 15747, 2015, 1010, 4303, 1998, 3645, 2020, 5854, 1010, 1998, 2195, 9231, 8525, 6643, 6843, 1006, 3151, 4799, 2431, 1030, 1011, 1030, 4303, 1007, 1998, 4799, 2723, 2075, 18671, 1012, 1996, 2280, 8858, 1005, 7728, 2012, 1996, 4373, 1997, 1996, 2311, 2020, 2357, 2046, 1037, 4348, 3916, 1012, 1996, 6418, 2573, 2006, 5185, 8915, 9335, 5937, 2180, 1996, 3923, 15582, 3691, 1005, 1055, 6549, 4348, 2400, 1999, 4696, 1037, 1006, 2120, 10490, 1998, 3929, 19995, 3121, 1007, 1999, 2263, 1012, 102, 101, 102, 101, 1027, 1027, 2224, 1027, 1027, 102, 101, 102, 101, 2043, 2034, 2328, 1999, 7845, 1010, 5185, 8915, 9335, 5937, 2001, 1996, 5039, 1997, 1996, 5336, 3187, 1997, 1996, 18849, 7617, 1006, 2101, 5336, 3187, 1013, 2708, 3187, 1997, 5264, 1007, 1012, 2035, 13304, 1997, 1996, 2597, 2018, 12427, 1999, 5185, 8915, 9335, 5937, 2013, 7845, 2000, 3851, 1012, 2009, 2003, 2747, 4351, 2004, 1996, 2880, 5039, 1997, 1996, 3539, 2704, 1997, 5264, 2144, 3851, 1010, 2295, 3904, 1997, 1996, 2627, 1998, 2556, 13304, 1997, 1996, 2695, 1010, 3389, 13970, 2319, 6300, 2860, 1010, 2175, 2232, 16480, 2243, 15740, 1998, 3389, 26236, 9013, 8840, 5063, 1010, 2031, 2973, 1999, 2009, 2004, 1037, 2155, 2188, 1012, 1999, 1996, 2687, 2338, 3389, 13970, 2319, 6300, 2860, 1024, 1996, 2158, 1998, 2010, 4784, 1010, 3389, 13970, 2319, 6300, 2860, 2056, 2008, 2043, 2002, 2150, 3539, 2704, 1999, 3851, 2002, 1998, 2010, 2564, 6448, 2050, 20248, 2243, 16480, 2080 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0000012967281231240785, 0.021996652783524803, 0.008856528242838288, 0.00013896907242758212, 0.0381043616771618, 0.07114164770043507, 0.00013061739223004488, 0.00013261726098609265, 0.0022325188681164647, 0.010967549323619189, 0.00006577850695632954, 0.03518861326405939, 0.000040957533058231014, 0.062087338833027965, 0.00002379027272897295, 0.01613645535229228, 0.0042718375438386144, 0.0004500564595558483, 0.000027246732809432025, 0.000006931391022944991, 0.07718324181883923, 0.04080396293421192, 0.01924991040930961, 0.021614365770815807, 0.0005489041686926401, 0.07439766903671804, 9.190116397420253e-9, 0.14719947630105926, 0.03235575766424726, 0.0011895052943708031, 0.007079524671725318, 9.190116397420253e-9, 0.0001434875941058714, 0.026570578324161598, 0.013982695770570057, 0.009592333985919466, 0.000329465194951881, 0.02674719076710584, 0.06028268815850784, 0.05135909446365664, 9.190116397420253e-9, 0.00013418655042557839, 0.012327019135186353, 0.03440741497614005, 0.02020776154411543, 0.000002984009109053114, 0.0003403972580432136, 0.0006955958583895703, 0.007421463797589738, 0.041831532032870364 ]
[ 2787, 2025, 2000, 2693, 2046, 5185, 8915, 9335, 5937, 2007, 2037, 2093, 2336, 1010, 2040, 2020, 2059, 4793, 2698, 1010, 2274, 1998, 2048, 1010, 2138, 1996, 3232, 1000, 2106, 2025, 2215, 2068, 2000, 4982, 2039, 1999, 2107, 2882, 11301, 2007, 7055, 2015, 1998, 2344, 11983, 2000, 28554, 2058, 2037, 3791, 1000, 1012, 1996, 2155, 2106, 2994, 2045, 1999, 3551, 2005, 1037, 2460, 2051, 2005, 3036, 4436, 2043, 5264, 5459, 2013, 6027, 1012, 4237, 2013, 2008, 1010, 2429, 2000, 1037, 2456, 18849, 2335, 4357, 2007, 6448, 2050, 1010, 1996, 3389, 2336, 2411, 2209, 1999, 1996, 5286, 1997, 1996, 2160, 1999, 1996, 3944, 2096, 2037, 2269, 2209, 5439, 2030, 2081, 2224, 1997, 1996, 3218, 17170, 1998, 5128, 2665, 1012, 102, 101, 5185, 8915, 9335, 5937, 2038, 2042, 2109, 3262, 2005, 2880, 4972, 1010, 3391, 1999, 1996, 4120, 1998, 3955, 1012, 4069, 5731, 2443, 27112, 5283, 10298, 14364, 1010, 1996, 4889, 3539, 2704, 1997, 6027, 1025, 11867, 9711, 12943, 2638, 2860, 1010, 1996, 3580, 1030, 1011, 1030, 2343, 1997, 1996, 2142, 2163, 1025, 2796, 3539, 2704, 28232, 12338, 1025, 11064, 11005, 3240, 1010, 2329, 4721, 3187, 1025, 1998, 2332, 16543, 1997, 5207, 1012, 5185, 8915, 9335, 5937, 2001, 1996, 6891, 2005, 1037, 2283, 4354, 1999, 3705, 2011, 3389, 13970, 2319, 6300, 2860, 2000, 4067, 3119, 17104, 2015, 1998, 2942, 8858, 2005, 2037, 2393, 2007, 1996, 9782, 2006, 5264, 5241, 6027, 1010, 1998, 1999, 3172, 1996, 2303, 1997, 1996, 2397, 2704, 2005, 5446, 10189, 24086, 12411, 3913, 1999, 2110, 2045, 1012, 2006, 1022, 2257, 2263, 1010, 3539, 2704, 3389, 26236, 9013, 8840, 5063, 5359, 2010, 2120, 2154, 4471, 2013, 5185, 8915, 9335, 5937, 2005, 1996, 2034, 2051, 1012, 1996, 5256, 2005, 21658, 6448, 2050, 20248, 2243, 16480, 2080, 1010, 2388, 1997, 3539, 2704, 3389, 26236, 9013, 8840, 5063, 1998, 1996, 2564, 1997, 5264, 2319, 17689, 3389, 13970, 2319, 6300, 2860, 1010, 2001, 2218, 2012, 5185, 8915, 9335, 5937, 1999, 2255, 2230, 1012, 1999, 2233, 2325, 1010, 1037, 2797, 2155, 5256, 2005, 3389, 13970, 2319, 6300, 2860, 2001, 2218, 2045, 1012, 102, 101, 102, 101, 102, 101, 1027, 2358, 9152, 7847, 1005, 1055, 2277, 1010, 2222, 7088, 7847, 1027, 102, 101, 102, 101, 2358, 9152, 7847, 1005, 1055, 2277, 1010, 2222, 7088, 7847, 2003, 1037, 3708, 1030, 1011, 1030, 2301, 3583, 2277, 2379, 1996, 2352, 1997, 19904, 11741, 9407, 2078, 1010, 1999, 12113, 3240, 1010, 2167, 3575, 1012, 2328, 2090, 10011, 1998, 10075, 1010, 2009, 2999, 1996, 2214, 2277, 1997, 2358, 9152, 7847, 1010, 2222, 7088, 7847, 1010, 2029, 2734, 3278, 7192, 1010, 4346, 1037, 2173, 1997, 9437, 7425, 20388, 2000, 1996, 2352, 2084, 1996, 2214, 2277, 1012, 2070, 5167, 2020, 2333, 2182, 2013, 1996, 2214, 2277, 1010, 2164, 1996, 6122, 1030, 1011, 1030, 2301, 15489, 1010, 2048, 10118, 2013, 1996, 6400, 1998, 6286, 2301, 1010, 1998, 1037, 2128, 3669, 16211, 2854, 2245, 2000, 2907, 1996, 3464, 1997, 2358, 9152, 7847, 1012, 1996, 3578, 2012, 1996, 2225, 2203, 2038, 2042, 2649, 2004, 1000, 2327, 3082, 1000, 1998, 2559, 2066, 1000, 1037, 2300, 3578, 1000, 1012, 102, 101, 1996, 2277, 2003, 2145, 2109, 2005, 7425, 2011, 1996, 2277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000020467300492967117, 0.000440378614023316, 0.07447990567193445, 0.007601698767073293, 0.031392350013332605, 0.00014604193767796746, 0.022349006954082987, 0.01173713578099682, 0.14438849393584452, 0.03457243287437995, 0.000015614786290415065, 0.001292468922522946, 0.013479225885717722, 0.05026463115346196, 0.019434765103564716, 0.008950595932294629, 0.011569542380856923, 0.04201961976851163, 0.00033482980057843067, 0.002291985892958617, 0.016848935270798185, 0.036643720040086286, 0.010903667050286265, 0.0001722806667034089, 0.00520775175742255, 0.08184182702449215, 0.013029011759548808, 0.00013038581209307942, 0.0014895437096612283, 0.0026157838661965255, 0.03444663529343602, 0.027729173009523152, 0.010068919001930706, 0.11453980119374374, 0.006729554866196909, 0.00005360204031156469, 0.012952036422917085, 0.00203106800712821, 0.007324281404207328, 0.06901879216795133, 0.010298782164957354, 0.0004939251140057134, 0.000024589909784880154, 0.02287920595616172, 0.008477073645624264, 0.00004971289444159748, 0.004005189092949196, 0.021096111455788845, 0.0016534427371371993, 0.00046400518791788977 ]
[ 1999, 3575, 1010, 2028, 1997, 2274, 1999, 1037, 2177, 1997, 11600, 1999, 1996, 2148, 1997, 12113, 3240, 1012, 2009, 2003, 1037, 3694, 2462, 3205, 2311, 1010, 1037, 2120, 8259, 2445, 2000, 1000, 3121, 1997, 2569, 3037, 1010, 2029, 10943, 2296, 3947, 2108, 2081, 2000, 7969, 2068, 1000, 1010, 1999, 3327, 2138, 2009, 2003, 5240, 2004, 1000, 1037, 8200, 2742, 1997, 3653, 1030, 1011, 1030, 7611, 7788, 6308, 2147, 1012, 1000, 1996, 3708, 1030, 1011, 1030, 2301, 22232, 1998, 3424, 16211, 6862, 4302, 2146, 5657, 3077, 3557, 2056, 2008, 2009, 2018, 2042, 2328, 1999, 1037, 1000, 2139, 15058, 2094, 3347, 8237, 3560, 2806, 1010, 4760, 4445, 6549, 2671, 4496, 5510, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1998, 3295, 1027, 1027, 102, 101, 102, 101, 2358, 9152, 7847, 1005, 1055, 2277, 2001, 2328, 2090, 10011, 1998, 10075, 1010, 6419, 2049, 5781, 8646, 1012, 1996, 4944, 2001, 2198, 17939, 1010, 2040, 2036, 2881, 2358, 21461, 3981, 2078, 1005, 1055, 2277, 1010, 2222, 2319, 15379, 2319, 1010, 1999, 2430, 12113, 3240, 1010, 2029, 2001, 2328, 1999, 9840, 1012, 2358, 9152, 7847, 1005, 1055, 2001, 2761, 3832, 2000, 2031, 1037, 19823, 2006, 1996, 2225, 3578, 1010, 2021, 2023, 2001, 2025, 2794, 1012, 1996, 16482, 2001, 2328, 1999, 7131, 1010, 1998, 1037, 17447, 2854, 1998, 5812, 4574, 2794, 2101, 1012, 1996, 2645, 8163, 2006, 1996, 3578, 2020, 2794, 1999, 4537, 1010, 6419, 1996, 2434, 11721, 9709, 1012, 2358, 9152, 7847, 1005, 1055, 2003, 2275, 2306, 1037, 17692, 19812, 2006, 1996, 2167, 1997, 1996, 1037, 12740, 17914, 2346, 1010, 1999, 1996, 2148, 1997, 12113, 3240, 1010, 3575, 1012, 1996, 2352, 1997, 19904, 11741, 9407, 2078, 2003, 2055, 3156, 3620, 1006, 2055, 2028, 1030, 1011, 1030, 2353, 1997, 1037, 3542, 1007, 2000, 1996, 2148, 1030, 1011, 1030, 2225, 1010, 1998, 1996, 2214, 2277, 1997, 2358, 9152, 7847, 2003, 2055, 9683, 3620, 1006, 2055, 2431, 1037, 3542, 1007, 2000, 1996, 2148, 1030, 1011, 1030, 2264, 1012, 102, 101, 1037, 2047, 2277, 2001, 2734, 2138, 1996, 2214, 2277, 2734, 3278, 7192, 1998, 2036, 2138, 1996, 3930, 1997, 19904, 11741, 9407, 2078, 3214, 2008, 2062, 2111, 2973, 2045, 2084, 1999, 2222, 7088, 7847, 2993, 1012, 2066, 2049, 8646, 1010, 2009, 2003, 4056, 2000, 9152, 7847, 1010, 1037, 5504, 1030, 1011, 1030, 2301, 6124, 3002, 2040, 2001, 1996, 18766, 2953, 1997, 1996, 6408, 2012, 7279, 8202, 1010, 2006, 1996, 2789, 5955, 1997, 12113, 3240, 1012, 102, 101, 2358, 9152, 7847, 1005, 1055, 2003, 2145, 2109, 2005, 7425, 2011, 1996, 2277, 1999, 3575, 1012, 2009, 2003, 2028, 1997, 2274, 5231, 1999, 1996, 4117, 3841, 12879, 6610, 1006, 11600, 4117, 2104, 2028, 5011, 1007, 1997, 2047, 10235, 2007, 2222, 7088, 7847, 2007, 2222, 22043, 2378, 12449, 1998, 2222, 2319, 7011, 4313, 1030, 1011, 1030, 1061, 2078, 1030, 1011, 1030, 1061, 1030, 1011, 1030, 22330, 2213, 21724, 1012, 1996, 3583, 2003, 2306, 1996, 4670, 7301, 1997, 9543, 6858, 2705, 18418, 1998, 2273, 4886, 1010, 1996, 21742, 2854, 1997, 21895, 1998, 1996, 5801, 1997, 21895, 1012, 2004, 1997, 2262, 1010, 1996, 5011, 1999, 3715, 2003, 1041, 1012, 7031, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0 ]
[ 0.021314643788162176, 0.0008644514929877674, 0.00000833003405801351, 0.000045298435103689, 0.00035454718726759014, 0.03737710352358792, 0.009353245416988301, 0.00006557153587358948, 1.0706832993749465e-8, 0.0007771051545382507, 0.000059057923001665665, 0.09139118923899638, 0.00014224369590492428, 0.00004176042972592413, 0.0006737007862309212, 0.021928744242283395, 0.0017752558053721046, 1.798560483129943e-7, 0.0003032431561772724, 0.0013297725860888278, 0.001892211641914481, 0.09763531478084991, 0.0000014758744008504984, 0.031504456228317754, 0.05268672286214549, 0.000023543933628493846, 0.00004066064654392204, 0.05373869681657585, 0.0016292670599539387, 0.04867748806340806, 0.08722059993643304, 0.0007336451883817812, 0.00006506852476146008, 0.054331809227706813, 0.055579896318802884, 0.008922638069721454, 0.0006190441631015254, 0.01449142964159092, 0.03959666743682189, 0.0740532825284876, 0.08612366344937644, 0.004040317872125539, 0.0014100919510822351, 0.000013723660596039912, 0.005583987691552321, 0.07818047617804358, 0.000001963220734809238, 0.011551348008662702, 0.00009060004762888632, 0.0017544539814192829 ]
[ 101, 102, 101, 2358, 9152, 7847, 1005, 1055, 2003, 2328, 3701, 2013, 2417, 24842, 9221, 17538, 1010, 5102, 2007, 11694, 1010, 2007, 10007, 25932, 2012, 1996, 8413, 1025, 1996, 4412, 1010, 2029, 2003, 2081, 2013, 12796, 1010, 2038, 2962, 27520, 2015, 2007, 1037, 2892, 2012, 1996, 2264, 2203, 1012, 1996, 2277, 2003, 2328, 1999, 1037, 2892, 1030, 1011, 1030, 4338, 1010, 1999, 2220, 2394, 2806, 1012, 2045, 2003, 1037, 3578, 2012, 1996, 2225, 2203, 1010, 2029, 2038, 2645, 8163, 2012, 1996, 2327, 2247, 2007, 1037, 5119, 2006, 1996, 2264, 1998, 2225, 3903, 1010, 1037, 19337, 19699, 2100, 1999, 1996, 2690, 1010, 1998, 2019, 4211, 7424, 2007, 2019, 9194, 7086, 2012, 1996, 3953, 1012, 2045, 2024, 2048, 9099, 23606, 2015, 2877, 2013, 1996, 12847, 1010, 2028, 2000, 1996, 2167, 1998, 2028, 2000, 1996, 2148, 1010, 1998, 1037, 16482, 2012, 1996, 2264, 2203, 1012, 2045, 2024, 2176, 1000, 5020, 1998, 7782, 1000, 13540, 2012, 1996, 5153, 2073, 12847, 1010, 9099, 23606, 2015, 1998, 16482, 3113, 1012, 1996, 29371, 1030, 1011, 1030, 5044, 5812, 2282, 1998, 17447, 2854, 2024, 2328, 2046, 1996, 2789, 6327, 12113, 1997, 1996, 16482, 1998, 9099, 23606, 2015, 1010, 2028, 2006, 2169, 2217, 1997, 1996, 2277, 1012, 102, 101, 1996, 3916, 2012, 1996, 2225, 2203, 1997, 1996, 12847, 1010, 3569, 2011, 22340, 7753, 1010, 2003, 2584, 2013, 1996, 4211, 7424, 1025, 2009, 2038, 2049, 29071, 2015, 2275, 2012, 2019, 6466, 1012, 1037, 3357, 5260, 2039, 2013, 1996, 12847, 2046, 1996, 16482, 1010, 2007, 1037, 2582, 2048, 4084, 2039, 2013, 1996, 16482, 2046, 1996, 8493, 1012, 1996, 2723, 1997, 1996, 16482, 1998, 1996, 8493, 2024, 2081, 2013, 4372, 3540, 19966, 2594, 13262, 1012, 1996, 4722, 3681, 2031, 2042, 21832, 1012, 1996, 12847, 2038, 2048, 13933, 1010, 2169, 5507, 2007, 1037, 9993, 2102, 3332, 1025, 1996, 9099, 23606, 2015, 2031, 2967, 1997, 2093, 2312, 9993, 3372, 3645, 1010, 2004, 2515, 1996, 2264, 2203, 1997, 1996, 2311, 1012, 1996, 16482, 3332, 11230, 1000, 4752, 1010, 3246, 1998, 5952, 1000, 1010, 2011, 3684, 2239, 1010, 7055, 1998, 3016, 2638, 1006, 7557, 1007, 1025, 2009, 2003, 4056, 2000, 1996, 4833, 2935, 3731, 2040, 2351, 1999, 6347, 1012, 2028, 9099, 23606, 2275, 1997, 3645, 2011, 14880, 22971, 1998, 5690, 11230, 1996, 18071, 1010, 1999, 3638, 1997, 4698, 3814, 6473, 1006, 2351, 4612, 1010, 2564, 1997, 1996, 12340, 2957, 6473, 1007, 1012, 102, 101, 1037, 11694, 3108, 2007, 1037, 3221, 2392, 2001, 2333, 2182, 2013, 1996, 2214, 2277, 1025, 2334, 4535, 9319, 2008, 2009, 4324, 1996, 16712, 1997, 2358, 9152, 7847, 1012, 2009, 2001, 3603, 2104, 1996, 9216, 1997, 1996, 2214, 2277, 1010, 1998, 2089, 3058, 2013, 1996, 5767, 2301, 1012, 1996, 2277, 2036, 2038, 29071, 2015, 2081, 1997, 7222, 1010, 1998, 1037, 4100, 1030, 1011, 1030, 22340, 23134, 2007, 7429, 9320, 1012, 102, 101, 1037, 5002, 2011, 1996, 2548, 3222, 2006, 3418, 1998, 3439, 10490, 1999, 3575, 1998, 20433, 7430, 1999, 4347, 3264, 2029, 1997, 1996, 2277, 1005, 1055, 8417, 2018, 2272, 2013, 1996, 2214, 2277, 1012, 1996, 3189, 3205, 1996, 15489, 1010, 2029, 2038, 7844, 11446, 1998, 5246, 2013, 1996, 2220, 6122, 2301, 1025, 2048, 10118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000001340977564817974, 0.000017358455195335244, 0.0632101536361445, 0.0001486075203120857, 0.030840445910376144, 0.00034697500840653856, 0.04311921940667021, 0.09542679133605729, 0.000022939336019305843, 0.040950185807095085, 0.014332545902309472, 0.06704167647087397, 0.005024392721244151, 0.0000036302995071650264, 0.04315216945849992, 0.00002542711503357861, 0.00006781258872604825, 0.00023124858794264, 0.00830160604403059, 0.03153374572455644, 0.0000789813365906402, 0.034185539737217586, 0.0009941539444656723, 0.008646272889280186, 0.00004808427574023395, 0.001357605737300944, 0.000018628161636935568, 0.01024093154909669, 0.014343496007702402, 0.012091801193216239, 0.0010819841764890795, 0.007337866179191058, 0.0399083945688684, 0.017977986671925142, 0.000027245457149540866, 9.358599055158742e-9, 0.00007122874424867215, 0.02298149033820728, 0.05636845449130693, 0.000007699797635212954, 0.04184560824974901, 0.0005708440688315535, 0.03102218436942238, 0.000007530614122278168, 0.05128183312704957, 0.12130108916009284, 0.0327219480321928, 0.0032085074845909028, 0.030948121241871712, 0.015526206729643825 ]
[ 1010, 2028, 2013, 1996, 2034, 2431, 1997, 1996, 6400, 2301, 1006, 14551, 1000, 1009, 1041, 1024, 1040, 1024, 1037, 1024, 1050, 1000, 1007, 1998, 2178, 2013, 1996, 3732, 2112, 1997, 1996, 6286, 2301, 1006, 14551, 1000, 2726, 9706, 10635, 1000, 1007, 1025, 1998, 1037, 7844, 6116, 3242, 2013, 1996, 2051, 1997, 2798, 2462, 1012, 102, 101, 1999, 5518, 1010, 1037, 5002, 1997, 2277, 5127, 2306, 1996, 21895, 5801, 2680, 2008, 2358, 9152, 7847, 1005, 1055, 2018, 1037, 3165, 15775, 13231, 1998, 2632, 5244, 9841, 1012, 2122, 2020, 6955, 2763, 1999, 26059, 1998, 26943, 1999, 7428, 1516, 5824, 1012, 2009, 2036, 2018, 1037, 3165, 6986, 2368, 1998, 2048, 13675, 23361, 2015, 2007, 3165, 16024, 1010, 2035, 4417, 2007, 1996, 3058, 7428, 1516, 5824, 1012, 2636, 2013, 1996, 3708, 2301, 5393, 2008, 2048, 4951, 18117, 1006, 2028, 3165, 1010, 2028, 29071, 3334, 1007, 1998, 1037, 3165, 15775, 13231, 2018, 2042, 2439, 1012, 102, 101, 1996, 19812, 3397, 1996, 6542, 1997, 2909, 8547, 8547, 1030, 1011, 1030, 14135, 1010, 3083, 8693, 1010, 2040, 2001, 6131, 2005, 12113, 3240, 2005, 2423, 2086, 1012, 1996, 6542, 1010, 2011, 1996, 2277, 1005, 1055, 2167, 2813, 1010, 2038, 1037, 13950, 1997, 1996, 3761, 4147, 1037, 3358, 9127, 1012, 2060, 2111, 3950, 2182, 2421, 1996, 10133, 2704, 1998, 17200, 1046, 1012, 1041, 1012, 8099, 1010, 2040, 2351, 1999, 3851, 1012, 2045, 2024, 2176, 5663, 2162, 9729, 1010, 1997, 1037, 2329, 2390, 5268, 1997, 2088, 2162, 1045, 1998, 2093, 3548, 1997, 2088, 2162, 2462, 1012, 102, 101, 102, 101, 1027, 1027, 7667, 1027, 1027, 102, 101, 102, 101, 1996, 2277, 2038, 2120, 5038, 1998, 15201, 3860, 2013, 26014, 2004, 2009, 2038, 2042, 4351, 2004, 1037, 3694, 2462, 3205, 2311, 1516, 1996, 7290, 1997, 1996, 2093, 7022, 1997, 10328, 1010, 2640, 5844, 1000, 3121, 1997, 2569, 3037, 1010, 2029, 10943, 2296, 3947, 2108, 2081, 2000, 7969, 2068, 1000, 1012, 2009, 2001, 2445, 2023, 3570, 2006, 2382, 2254, 3380, 1010, 1998, 2038, 2042, 3205, 2004, 1000, 1037, 2235, 2220, 3708, 1030, 1011, 1030, 2301, 2277, 1000, 1012, 28353, 2860, 1006, 1996, 6124, 3320, 2231, 2303, 3625, 2005, 1996, 2328, 4348, 1997, 3575, 1998, 1996, 10502, 1997, 6124, 3121, 2006, 1996, 15201, 7201, 1007, 5577, 1996, 2277, 2004, 1000, 1037, 8200, 2742, 1997, 3653, 1030, 1011, 1030, 7611, 7788, 6308, 2147, 1012, 1000, 102, 101, 3015, 1999, 9244, 1010, 1996, 22232, 1998, 3424, 16211, 6862, 4302, 2146, 5657, 3077, 3557, 10033, 1996, 3949, 1997, 1996, 2214, 2277, 1010, 2029, 2002, 2056, 2001, 1000, 2028, 1997, 1996, 2922, 1998, 2087, 2590, 1999, 1996, 2479, 1997, 12113, 3240, 1000, 1010, 2445, 2049, 4294, 1010, 8417, 1998, 7443, 1012, 2002, 2056, 2008, 1996, 2047, 2277, 2018, 2042, 2328, 1000, 1999, 1037, 2139, 15058, 2094, 3347, 8237, 3560, 2806, 1010, 4760, 4445, 6549, 2671, 4496, 5510, 1010, 1998, 2302, 2151, 2742, 2030, 23323, 5921, 1996, 12301, 3968, 23664, 2015, 1997, 2151, 2287, 1010, 3272, 1996, 2556, 1012, 1000, 2002, 2036, 2649, 2009, 1999, 6899, 2004, 1000, 2008, 22293, 8632, 1012, 1012, 1012, 1037, 16267, 8052, 2742, 1997, 6549, 2919, 5510, 1012, 1000, 2002, 2056, 2008, 1996, 15489, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.004731444961765811, 0.18261614931082523, 0.0009702925646754074, 0.10264174282319433, 0.008452254357514434, 0.00509031266500115, 0.04177031744797749, 0.00003438001593619335, 0.0003871817880460375, 1.554382233334727e-7, 1.0550676746784402e-8, 0.0005965851276763936, 0.03467024874748299, 0.006018429203899329, 0.0016254099712042084, 0.006810942174339726, 0.009027555860823967, 0.005752851724277493, 0.08530744446536058, 0.003793494167510268, 0.000010441688030227147, 0.013899417563882592, 0.0170193571398189, 0.005171802574841568, 0.045312899697120636, 0.00002830099652947031, 0.04907628020881468, 0.00013241237795827142, 0.000055901553584488355, 0.004252358612411705, 0.001462447898835589, 0.0002125430412566519, 4.491544506963498e-7, 0.000013536024839638056, 0.008639360366514732, 0.0011901414321673926, 0.01537051884869513, 0.000311672598988142, 0.07101125412524899, 0.012571247373439004, 0.027046440299557904, 0.004985182091911737, 0.00003068168978290811, 0.0007687610894782076, 0.05995590302258721, 0.000006213088354835851, 0.01234941019645914, 0.0000506362905056218, 0.05182141043706904, 0.09694581515045372 ]
[ 1000, 2028, 1997, 1996, 2087, 5875, 2004, 1037, 2147, 1997, 2396, 1006, 2025, 2101, 2084, 1996, 14725, 2301, 1007, 6698, 1999, 12113, 3240, 1000, 1010, 1998, 2348, 2002, 2106, 2025, 5136, 2008, 2049, 2640, 2030, 7781, 10349, 2008, 1997, 1996, 15489, 2012, 2358, 8292, 2378, 12449, 1005, 1055, 2277, 1010, 2222, 22043, 2378, 12449, 1010, 2009, 2001, 1000, 1037, 3811, 7070, 11375, 1997, 5781, 5510, 1012, 1000, 1996, 2128, 3669, 16211, 2854, 1010, 2002, 2794, 1010, 2001, 1000, 4310, 1010, 2061, 2521, 2004, 3575, 2003, 4986, 1000, 1012, 102, 101, 1996, 3708, 1030, 1011, 1030, 2301, 3213, 5212, 4572, 2056, 2008, 1996, 2047, 2277, 2001, 1000, 4593, 1997, 6937, 2810, 1010, 2021, 2003, 2172, 14092, 1999, 2806, 2000, 1996, 2214, 2311, 1012, 1000, 1996, 5272, 1998, 22232, 9493, 5939, 14069, 2665, 1010, 3015, 1037, 5002, 1997, 12113, 3240, 2277, 4294, 1998, 8417, 1999, 4612, 1010, 2649, 1996, 2277, 2004, 1000, 22293, 1000, 1010, 2348, 2002, 2056, 2008, 1996, 15489, 2001, 1000, 9487, 1000, 2005, 2049, 1000, 2200, 19415, 7060, 1999, 4335, 4760, 3747, 1997, 3306, 4556, 2640, 1012, 1000, 102, 101, 1037, 2294, 5009, 2000, 1996, 5231, 1997, 12113, 3240, 2758, 2008, 2009, 2003, 1000, 1997, 7199, 5866, 3311, 1010, 2025, 2012, 2035, 5171, 1997, 12113, 3240, 5231, 1999, 2049, 2962, 6198, 2030, 1996, 4338, 1997, 1996, 14542, 11001, 3578, 1000, 1012, 2009, 7928, 2008, 1996, 5812, 1998, 17447, 2854, 2020, 1999, 1000, 12890, 1030, 1011, 1030, 5044, 4734, 1000, 1010, 1998, 3964, 1996, 1000, 18099, 9702, 3221, 1000, 1997, 1996, 18071, 1012, 1037, 2268, 5009, 2000, 1996, 3121, 1997, 1996, 2555, 2758, 2008, 1996, 2277, 2003, 1000, 7782, 2121, 1000, 2084, 2198, 17939, 1005, 1055, 6660, 2881, 2277, 2012, 2222, 5685, 6784, 3630, 1012, 2009, 5577, 1996, 3578, 2004, 1000, 2327, 1030, 1011, 1030, 3082, 2007, 2645, 8163, 1012, 1012, 1012, 2066, 1037, 2300, 3578, 1000, 1010, 1998, 9909, 2008, 1996, 10747, 2003, 1000, 10789, 1000, 1012, 102, 101, 102, 101, 102, 101, 1027, 1996, 14936, 1006, 2262, 2143, 1007, 1027, 102, 101, 102, 101, 8348, 1005, 1055, 1996, 14936, 1006, 6219, 2104, 1996, 2171, 8348, 14936, 21365, 1999, 1996, 2142, 2983, 1998, 3163, 1007, 1010, 2030, 3432, 1996, 14936, 1010, 2003, 1037, 2262, 2137, 16251, 2143, 2241, 2006, 1996, 8348, 5888, 16251, 2136, 1997, 1996, 2168, 2171, 1010, 2550, 2011, 8348, 4835, 1998, 5500, 2011, 10598, 6373, 4835, 4367, 4620, 1012, 1015, 2009, 2003, 1996, 4369, 2143, 1999, 1996, 8348, 21014, 5304, 1012, 1996, 2143, 2001, 2517, 1998, 2856, 2011, 8183, 4757, 1059, 9072, 2239, 1998, 2838, 2019, 7241, 3459, 2008, 2950, 2728, 2091, 3240, 3781, 1012, 1010, 3782, 6473, 1010, 2928, 21766, 20961, 4135, 1010, 3782, 19610, 12255, 1010, 20862, 26447, 1010, 7441, 14916, 3678, 1010, 3419, 11041, 27822, 2669, 1010, 5215, 18281, 1010, 2522, 11283, 15488, 21285, 2545, 1010, 11894, 2078, 24053, 2869, 13444, 1010, 1998, 5212, 1048, 1012, 4027, 1012, 1999, 1996, 2143, 1010, 4172, 8111, 1010, 2472, 1997, 1996, 28364, 3029, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 15024, 3707, 2158, 1010, 2952, 2637, 1010, 1996, 16009, 1010, 1998, 15321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.047026077572372836, 0.0004185829130340727, 0.0007487516057804019, 0.006506430881992665, 0.0021882897539261966, 0.020260089332960585, 0.00008893480997859858, 0.09127785060140255, 9.65022750411448e-9, 0.0038355058758650583, 9.65022750411448e-9, 4.476835006742823e-7, 0.048793546590893945, 0.00039449093284836724, 0.04356566466872249, 0.050647030899033024, 0.000010134412244721334, 0.000018011787361093324, 0.07599948381890072, 0.04089725912336474, 0.0017682472527158642, 0.05067005800641222, 0.0029360408333420455, 0.0000056710120038210655, 0.10600690943170106, 0.0011093261772090394, 0.00019936933727704976, 0.00045186747362319123, 0.000020062771965078526, 0.00034844022465058876, 0.0027677532532504345, 0.002342786793706751, 0.0003253377769482798, 0.017331773650356274, 0.06634255688439002, 0.037261790337597016, 0.0000612070575741778, 0.07894296583373313, 0.0001336644971400602, 0.010313716930316014, 9.65022750411448e-9, 0.028905061982565296, 0.00006757832109121562, 0.07865875256161142, 0.01284570106148804, 0.022501581537383072, 0.018281250664189664, 0.000004097626505523751, 0.011007486025158645, 0.015712332469229748 ]
[ 2000, 2433, 1037, 2136, 2008, 2442, 2644, 15321, 1005, 1055, 2567, 24143, 2013, 4942, 9103, 16961, 3011, 1012, 102, 101, 1996, 2143, 1005, 1055, 2458, 2211, 2043, 8348, 4835, 2363, 1037, 5414, 2013, 16239, 11404, 1999, 2258, 2384, 1012, 2044, 1996, 3112, 1997, 1996, 2143, 3707, 2158, 1999, 2089, 2263, 1010, 8348, 2623, 2008, 1996, 14936, 2052, 2022, 2207, 1999, 2251, 2249, 1012, 2007, 1996, 6608, 1997, 26447, 1999, 2233, 2268, 1010, 1996, 2143, 2001, 3724, 2067, 2005, 1037, 2262, 2713, 1012, 1059, 9072, 2239, 2001, 2716, 2006, 2604, 1999, 2258, 2230, 1998, 2128, 13088, 12184, 1996, 2434, 9000, 2011, 23564, 2243, 9502, 1012, 2537, 2211, 1999, 2258, 2249, 1999, 19334, 1010, 2047, 3290, 1010, 2077, 3048, 2000, 6044, 1010, 4058, 1010, 1999, 2257, 1998, 2047, 2259, 2103, 1999, 2244, 1012, 1996, 2143, 2001, 4991, 2000, 7605, 1999, 2695, 1030, 1011, 1030, 2537, 1012, 102, 101, 1996, 14936, 5885, 2006, 2258, 2340, 1010, 2262, 1010, 2012, 5365, 1005, 1055, 3449, 8353, 2078, 3004, 1998, 2001, 2207, 8900, 2135, 1999, 1996, 2142, 2163, 2006, 2089, 1018, 1010, 2262, 1012, 1996, 2143, 13056, 3365, 4187, 2982, 1998, 9930, 1010, 2164, 2914, 2400, 1998, 22284, 9930, 2005, 10106, 1999, 5107, 3896, 1998, 2038, 2275, 2030, 5079, 3365, 3482, 2436, 2636, 1010, 2164, 1996, 5221, 3098, 5353, 1999, 2167, 2637, 1012, 1996, 14936, 17500, 2058, 1002, 1015, 1030, 1012, 1030, 1019, 4551, 4969, 1010, 1998, 2150, 1996, 2353, 1030, 1011, 1030, 3284, 1030, 1011, 1030, 18244, 2143, 2076, 2049, 8900, 2448, 1517, 2004, 2092, 2004, 1996, 2034, 8348, 2537, 2000, 9699, 1002, 1015, 4551, 1999, 7281, 4341, 1012, 1996, 2143, 2001, 2207, 2006, 14154, 1030, 1011, 1030, 4097, 5860, 1998, 4966, 2006, 2244, 2423, 1010, 2262, 1012, 1037, 8297, 1010, 4159, 14936, 1024, 2287, 1997, 17359, 15312, 1010, 2001, 2207, 2006, 2089, 1015, 1010, 2325, 1010, 2096, 1037, 2048, 1030, 1011, 1030, 2112, 8297, 1010, 4159, 14936, 1024, 15579, 2162, 2003, 2747, 1999, 2458, 1010, 2007, 2112, 1015, 5115, 2005, 1037, 2089, 1018, 1010, 2760, 2713, 3058, 1010, 1998, 2112, 1016, 5115, 2000, 2022, 2207, 2006, 2089, 1017, 1010, 10476, 1012, 102, 101, 102, 101, 1027, 1027, 5436, 1027, 1027, 102, 101, 102, 101, 1996, 2004, 13444, 2937, 24143, 11340, 1996, 2060, 1010, 1996, 3003, 1997, 2019, 4469, 3334, 28533, 14482, 2679, 2124, 2004, 1996, 9610, 2696, 9496, 1012, 1999, 3863, 2005, 2128, 18886, 23559, 1996, 15540, 6906, 6593, 1010, 1016, 1037, 3928, 2943, 3120, 1997, 4242, 4022, 1010, 1996, 2060, 10659, 24143, 2019, 2390, 2007, 2029, 2002, 2064, 4942, 9103, 5867, 3011, 1012, 4172, 8111, 1010, 2472, 1997, 1996, 21003, 4034, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 1998, 2010, 3812, 4005, 3814, 2940, 7180, 2012, 1037, 6556, 2470, 4322, 2076, 2019, 13982, 1010, 2073, 13702, 2852, 1012, 10240, 7367, 2140, 5737, 2290, 2003, 2877, 1037, 2470, 2136, 23781, 2006, 1996, 15540, 6906, 6593, 1012, 4005, 6316, 2522, 28426, 2239, 7607, 2008, 1996, 4874, 2038, 5625, 23229, 2019, 5866, 2433, 1997, 2943, 1012, 1996, 15540, 6906, 6593, 3402, 20544, 2015, 1998, 7480, 1037, 15485, 11484, 1010, 4352, 24143, 2000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.0016310642539134417, 0.021118255651601987, 0.00007989206268150175, 0.01310214185367912, 9.901284196561394e-9, 0.11848132377216804, 0.03212490187632481, 0.07177808634809983, 0.00235860010351159, 0.007667660939904035, 0.00862480234742141, 0.04782065242294458, 0.00006334589198103612, 0.033696714174356476, 0.06134726805866788, 0.06114567004772158, 0.00012137122111355496, 0.07431549699225472, 0.00007592243594527976, 0.00019130178646630877, 0.015457307199793022, 9.901284196561394e-9, 0.008938029826440607, 0.002379782970605106, 0.0000715696440731455, 0.003428785106465759, 0.03008480798626042, 0.00048491387658048876, 0.004373665003347967, 0.0003526579490831404, 0.0001173869442653687, 0.11705473489444991, 0.03646629782517519, 0.0021720414950587895, 0.00003058000552103989, 0.0004269051680495308, 9.901284196561394e-9, 0.000194029846072733, 0.003923318416341348, 0.00004592885501736932, 0.000001911827470501831, 0.009484352270470375, 0.000009521079802413986, 0.011098695706023134, 0.1502434994949987, 0.019584422959118254, 0.000009194133331958911, 0.00022579835050838567, 0.008858809248382319, 0.01873654997268335 ]
[ 3362, 3011, 1012, 24143, 3138, 1996, 15540, 6906, 6593, 1998, 3594, 2010, 8040, 23606, 2121, 2000, 4372, 14540, 10696, 7367, 2140, 5737, 2290, 1998, 1037, 3232, 1997, 6074, 1010, 2164, 16235, 12975, 1010, 2000, 4681, 2032, 1999, 2010, 2131, 9497, 1012, 102, 101, 1999, 3433, 2000, 1996, 2886, 1010, 8111, 10509, 21466, 2015, 1996, 1000, 14936, 6349, 1000, 1012, 4005, 17399, 22070, 4246, 2003, 2741, 2000, 13419, 2000, 13024, 2852, 1012, 5503, 9484, 2000, 7637, 1996, 15540, 6906, 6593, 2083, 2049, 13091, 8249, 11768, 1012, 2522, 28426, 2239, 7879, 4116, 9762, 2000, 2031, 2032, 3319, 7367, 2140, 5737, 2290, 1005, 1055, 2470, 1010, 1998, 8111, 8107, 3889, 7369, 2007, 2019, 8775, 2000, 12850, 1996, 15540, 6906, 6593, 1012, 102, 101, 1999, 13022, 1010, 12975, 15539, 20868, 28742, 2734, 2000, 27790, 1996, 15540, 6906, 6593, 1005, 1055, 2373, 2096, 24143, 5320, 1037, 14836, 1010, 2877, 2000, 1037, 13111, 2007, 7369, 1010, 9762, 1010, 1998, 22070, 4246, 2008, 4515, 2007, 24143, 1005, 1055, 7806, 1012, 2096, 24143, 2003, 2108, 13127, 2000, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 15321, 1010, 2010, 24787, 2567, 1010, 8480, 1998, 2489, 2015, 2032, 1010, 5327, 2000, 8054, 2032, 2000, 10824, 2010, 2933, 1998, 2709, 2000, 2004, 13444, 1012, 2044, 1037, 13111, 2007, 9762, 1998, 7369, 1010, 15321, 10217, 2000, 2202, 24143, 2000, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1005, 1055, 3909, 2948, 6839, 1010, 1996, 2002, 19341, 27051, 1012, 2045, 24143, 2003, 8580, 2096, 9484, 1998, 9762, 3535, 2000, 12453, 1996, 15540, 6906, 6593, 1012, 102, 101, 1996, 14936, 2468, 4055, 1010, 2119, 2058, 2129, 2000, 3921, 24143, 1998, 1996, 11449, 2008, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 3488, 2000, 17445, 1996, 15540, 6906, 6593, 2000, 4503, 4255, 2004, 1037, 28283, 22787, 2114, 10420, 4469, 3334, 28533, 14482, 2015, 1012, 2004, 1996, 2177, 9251, 1010, 12975, 1998, 24143, 1005, 1055, 2060, 8679, 6074, 2886, 1996, 2002, 19341, 27051, 1010, 4487, 3736, 9709, 2049, 5209, 1999, 3462, 1998, 4786, 9484, 2000, 10938, 2046, 1996, 16009, 1012, 9762, 1998, 7369, 3046, 2000, 23818, 1996, 5591, 3194, 1010, 1998, 15321, 4740, 2000, 2644, 1996, 16009, 1005, 1055, 29216, 1012, 22070, 4246, 9590, 12975, 1010, 1998, 21145, 2032, 9787, 1010, 4911, 24143, 1005, 1055, 2568, 2491, 1012, 24143, 12976, 2044, 4288, 2522, 28426, 2239, 1998, 1041, 20614, 2075, 15321, 2013, 1996, 27636, 1010, 2096, 1996, 16009, 4212, 2000, 1996, 2598, 2044, 7866, 1037, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 4959, 6892, 1012, 8111, 3594, 2522, 28426, 2239, 1005, 1055, 2331, 2000, 9587, 29068, 3686, 1996, 14936, 2046, 2551, 2004, 1037, 2136, 1012, 9762, 1998, 7369, 5382, 2008, 2005, 24143, 1010, 3432, 6324, 2068, 2097, 2025, 2022, 2438, 1025, 2002, 3791, 2000, 2058, 11452, 2068, 7271, 2000, 9398, 3686, 2370, 2004, 7786, 1997, 3011, 1012, 24143, 3594, 1996, 15540, 6906, 6593, 1010, 1999, 9595, 2007, 1037, 5080, 7367, 2140, 5737, 2290, 2328, 1010, 2000, 2330, 1037, 15485, 11484, 2682, 9762, 3578, 2000, 1996, 9610, 2696, 9496, 4170, 1999, 2686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00001765805717956939, 0.005516414415249333, 0.031496981845244625, 0.039124336495993325, 0.00026425716796288866, 0.00006837971357839215, 0.000121890976865854, 0.01924955035732552, 0.06343919344646917, 0.009230640743047183, 0.00028416216560783145, 0.00009582361324531608, 0.000004035754321996724, 0.03268306887975056, 0.012234763365438224, 0.10529535457900219, 0.020633161991307766, 0.0005534054896576565, 0.00933981828079992, 0.08072038471606131, 0.00006609258322140896, 0.07655068747496417, 0.056851809201415054, 0.0004788063596060231, 0.023143857532719088, 0.0803079040544015, 6.981377872663235e-9, 0.007513200215425774, 0.00004366238279733904, 0.00007402779482983, 0.0029633114922557233, 0.020583566547001633, 0.006571766191011602, 0.031913234860288346, 0.005209672836224796, 0.0001083608779615084, 0.009903588779926887, 0.01842248218586187, 6.981377872663235e-9, 0.019229658931471456, 0.08810464317920022, 0.0001377124902266645, 0.0000012937285846850414, 0.06524714565939668, 0.00026477377724608856, 0.005829502092134742, 0.047257312390626534, 0.00033445390079190636, 0.0020875202861818463, 0.00042665617736218595 ]
[ 1010, 12106, 2010, 5274, 1012, 102, 101, 1996, 14936, 8320, 1999, 3639, 1997, 2047, 2259, 2103, 1010, 1996, 15485, 11484, 1005, 1055, 3295, 1010, 2021, 2855, 5382, 2027, 2097, 2022, 13394, 2004, 4400, 2044, 4400, 1997, 9610, 2696, 9496, 18855, 2588, 3011, 1012, 9484, 8480, 1998, 21743, 2046, 1996, 16009, 1010, 1998, 2362, 2002, 1010, 7369, 1010, 9762, 1010, 15321, 1010, 12975, 1010, 1998, 22070, 4246, 2645, 1996, 9610, 2696, 9496, 2096, 9345, 10841, 5844, 9272, 1012, 1996, 16009, 4858, 24143, 1998, 10299, 2032, 2046, 12339, 1012, 22070, 4246, 3084, 2014, 2126, 2000, 1996, 15485, 11484, 13103, 1010, 2073, 7367, 2140, 5737, 2290, 1010, 10650, 1997, 24143, 1005, 1055, 2491, 1010, 7657, 2008, 24143, 1005, 1055, 8040, 23606, 2121, 2064, 2022, 2109, 2000, 3844, 2091, 1996, 13103, 1012, 5564, 1010, 8111, 1005, 1055, 22983, 3535, 2000, 2203, 1996, 5274, 2011, 12106, 1037, 4517, 7421, 2012, 27219, 7128, 1012, 9762, 19115, 2015, 1996, 7421, 1998, 3138, 2009, 2083, 1996, 15485, 11484, 2646, 1996, 9610, 2696, 9496, 4170, 1012, 1996, 7421, 20010, 21149, 2015, 1010, 9846, 1996, 9610, 2696, 9496, 10756, 5605, 1998, 4487, 3736, 9709, 2037, 2749, 2006, 3011, 1012, 9762, 1005, 1055, 4848, 3216, 2041, 1997, 2373, 1010, 1998, 2002, 4212, 2067, 2083, 1996, 15485, 11484, 2074, 2004, 22070, 4246, 14572, 2009, 1012, 9762, 3632, 2046, 2489, 13976, 1010, 2021, 1996, 16009, 13169, 2032, 2013, 12894, 2000, 1996, 2598, 1012, 1999, 1996, 10530, 1010, 15321, 5651, 24143, 1998, 1996, 15540, 6906, 6593, 2000, 2004, 13444, 1010, 2096, 8111, 16783, 7023, 2008, 1996, 14936, 2097, 2709, 2065, 1998, 2043, 2027, 2024, 2734, 1012, 102, 101, 1999, 1037, 3054, 1030, 1011, 1030, 6495, 3496, 1010, 1996, 2060, 9530, 24396, 2007, 2010, 3040, 2509, 2055, 1996, 3478, 2886, 2006, 3011, 1012, 1999, 1037, 2695, 1030, 1011, 1030, 6495, 3496, 1010, 1996, 14936, 4521, 1999, 4223, 2012, 1037, 8233, 27292, 2050, 4825, 1012, 102, 101, 102, 101, 1027, 1027, 3459, 1027, 1027, 102, 101, 102, 101, 2728, 2091, 3240, 3781, 1012, 2004, 4116, 9762, 1013, 3707, 2158, 1024, 102, 101, 1037, 2969, 1030, 1011, 1030, 2649, 11067, 1010, 22301, 1010, 18286, 1010, 1998, 15246, 2007, 2019, 16175, 4168, 14856, 7476, 4848, 1997, 8177, 1997, 2010, 2219, 11028, 1012, 2091, 3240, 2001, 3459, 2004, 2112, 1997, 2010, 2176, 1030, 1011, 1030, 3861, 3066, 2007, 8348, 4835, 1010, 2029, 2950, 3707, 2158, 1016, 1998, 1996, 14936, 1012, 2091, 3240, 2056, 2008, 2002, 3322, 3724, 1059, 9072, 2239, 2000, 2191, 9762, 1996, 2599, 1024, 1000, 2092, 1010, 1045, 2056, 1010, 1005, 1045, 2342, 2000, 2022, 1999, 1996, 3098, 5537, 1012, 1045, 2123, 1005, 1056, 2113, 2054, 2017, 1005, 2128, 3241, 1010, 2021, 4116, 3791, 2000, 3298, 2023, 2518, 1012, 1005, 2002, 2001, 2066, 1010, 1005, 3100, 1010, 2292, 1005, 1055, 3046, 2008, 1012, 1005, 2057, 2699, 2009, 1998, 2009, 2134, 1005, 1056, 2147, 1010, 2138, 2023, 2003, 1037, 2367, 4066, 1997, 2518, 1010, 1996, 2466, 1998, 1996, 2801, 1998, 1996, 4323, 2003, 1996, 4323, 1010, 1998, 7955, 2003, 2074, 2019, 2849, 1997, 1996, 24318, 1012, 1000, 2055, 1996, 2839, 1005, 1055, 6622, 2013, 3025, 3152, 1010, 2091, 3240, 2056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.01097463291932703, 0.002693417922282452, 0.041846813576126136, 0.000004533579008294527, 0.0004193225419636958, 0.0056855617138707685, 0.00001995448451365462, 8.962364343413692e-9, 0.009982031428953106, 0.00003644401723293079, 0.0007462144114176459, 0.09590993863324854, 0.10463110214588583, 0.0017641031836479212, 0.07394737697072143, 0.009842083843292127, 0.000004938722230857325, 0.00006415909813966083, 0.0016281094124770783, 0.10510428952571428, 0.000019792288036812805, 0.00537002636699308, 0.009759592549891085, 0.00001661955984713484, 0.004647588878256443, 0.02802745967080945, 0.01627515491891279, 0.000046111150650233424, 0.05836454654214411, 0.00001790321200674502, 0.003123807926104448, 0.000011223113883851787, 0.021115236998167548, 0.00026626172888127186, 0.01925377173604103, 0.01966120084323944, 8.962364343413692e-9, 8.962364343413692e-9, 0.00016660877396461687, 0.00981471628279964, 0.006549275281322673, 8.962364343413692e-9, 0.0013030022908172086, 8.962364343413692e-9, 0.0004495505741422969, 0.019102882824248334, 0.08755068796546485, 8.962364343413692e-9, 0.05964070764085326, 0.1641411889782821 ]
[ 1010, 1000, 1999, 3707, 2158, 1010, 2029, 2001, 2019, 4761, 2466, 1010, 2002, 2001, 2010, 2219, 4958, 11514, 4819, 2100, 1998, 18434, 1997, 11901, 1012, 3707, 2158, 1016, 2003, 2035, 2055, 2025, 2108, 2019, 2479, 1010, 7149, 2007, 8027, 3314, 1998, 2437, 2686, 2005, 2500, 1012, 1012, 1012, 1999, 1996, 14936, 1010, 2002, 1005, 1055, 6886, 2009, 2091, 2007, 1996, 2500, 1000, 1012, 102, 101, 3782, 6473, 2004, 3889, 7369, 1013, 2952, 2637, 1024, 102, 101, 1037, 2088, 2162, 2462, 8003, 2040, 2001, 9412, 2000, 1996, 4672, 1997, 2529, 3558, 3012, 2011, 2019, 6388, 20194, 1998, 7708, 1999, 6731, 7284, 2077, 12447, 2039, 1999, 1996, 2715, 2088, 1012, 6473, 2001, 3459, 2004, 2112, 1997, 1037, 3066, 2000, 2732, 1999, 2093, 8348, 3152, 1010, 1999, 2804, 2000, 1996, 14936, 1012, 6473, 2056, 2008, 3889, 7369, 2003, 2172, 9904, 1999, 1996, 14936, 1024, 1000, 2009, 1005, 1055, 2074, 2055, 2032, 2667, 2000, 2272, 2000, 3408, 2007, 1996, 2715, 2088, 1012, 2017, 1005, 2310, 2288, 2000, 5674, 1010, 2009, 1005, 1055, 2438, 1997, 1037, 5213, 2000, 5138, 1996, 2755, 2008, 2017, 1005, 2128, 1999, 1037, 3294, 2367, 2051, 1010, 2021, 7955, 2017, 2113, 2003, 2757, 1012, 7955, 2017, 8725, 2055, 1012, 1012, 1012, 2002, 2001, 1037, 5268, 1010, 5525, 1010, 7955, 2002, 2253, 2000, 2645, 2007, 1010, 2035, 1997, 2010, 3428, 1999, 2608, 1010, 2027, 1005, 2128, 2035, 2757, 1012, 2002, 1005, 1055, 2074, 9479, 1012, 1045, 2228, 1999, 1996, 2927, 2009, 1005, 1055, 1037, 3869, 1030, 1011, 1030, 2041, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 2300, 3496, 1010, 1998, 2009, 1005, 1055, 7823, 1012, 2009, 1005, 1055, 1037, 7823, 17357, 2005, 2032, 2000, 10577, 1012, 2059, 3310, 2667, 2000, 2424, 1037, 5703, 2007, 1996, 2715, 2088, 1012, 1000, 4953, 1996, 8790, 2090, 7369, 1998, 4116, 9762, 1010, 6473, 2056, 1010, 1000, 1045, 2228, 2045, 1005, 1055, 5121, 1037, 4487, 9905, 20389, 2100, 1517, 2023, 2785, 1997, 15012, 2090, 2870, 1998, 4116, 9762, 1010, 2027, 1005, 2128, 11508, 4500, 2015, 1012, 2028, 3124, 2003, 5956, 1998, 17763, 1998, 5744, 1010, 1998, 1996, 2060, 3124, 2003, 2969, 3238, 1998, 1999, 1996, 6281, 1998, 2785, 1997, 4251, 1998, 2027, 2031, 2000, 2131, 2247, 1012, 2027, 8849, 2008, 1010, 1998, 2009, 1005, 1055, 3492, 4569, 1012, 1000, 102, 101, 2928, 21766, 20961, 4135, 2004, 5503, 9484, 1013, 16009, 1024, 102, 101, 1037, 11067, 7155, 2040, 1010, 2138, 1997, 7524, 2000, 13091, 8249, 1010, 21743, 2046, 1037, 6071, 2043, 18835, 2030, 21568, 1012, 21766, 20961, 4135, 1010, 2040, 2001, 2641, 2000, 2377, 9484, 1999, 1996, 9788, 16009, 2077, 3487, 10770, 2165, 1996, 2535, 1010, 2001, 3459, 2044, 7776, 2090, 8348, 1998, 10770, 3631, 2091, 1012, 2055, 6419, 10770, 1010, 21766, 20961, 4135, 2056, 1010, 1000, 1045, 1005, 1049, 1037, 2767, 1997, 3968, 1005, 1055, 1010, 1998, 3398, 1010, 2008, 2347, 1005, 1056, 1037, 2307, 2126, 2005, 2035, 2008, 2000, 2175, 2091, 1012, 2021, 1996, 2126, 1045, 2156, 2009, 2003, 2008, 3968, 2038, 27180, 2023, 2112, 2000, 2033, 1012, 1045, 2298, 2012, 2009, 2004, 2026, 4245, 1005, 1055, 8429, 1012, 1000, 2055, 1996, 2839, 1010, 2002, 2056, 1010, 1000 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 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, 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 ]
[ 0.00017403369684660216, 0.024938374840294944, 0.009574514749385813, 0.000028848730727722498, 0.04270950704878903, 0.022180149689178846, 0.0017508233959188024, 0.08277497981696295, 0.000004088363373532434, 0.000008725593303019466, 0.005747115884089242, 0.04766068018961186, 0.0000010739160573178956, 0.049615684382829386, 0.00044574692799849897, 0.000023370458006472837, 0.019153561365709414, 0.0012735450224388063, 0.011341062394201795, 0.01590211930416284, 0.02440465373897572, 0.000023261261190743035, 0.027903492214508146, 0.00010819908193077892, 0.11578859145571117, 0.004798187449261852, 0.00002236563626640367, 0.00008657751213135407, 0.004680331336990236, 0.008739206684287227, 0.01812406716314694, 0.005476213168051096, 0.053219071173734075, 0.024681841272965833, 0.0566686884071881, 0.000003473549082168648, 0.03810317818544498, 0.0924689985837253, 0.001090851129415885, 0.04690335896485888, 1.1518925883200524e-8, 0.03354779680059585, 0.000029337175859066683, 0.0320196501045056, 0.049515414954997464, 0.001267240864204694, 0.00018288232286585134, 0.024677108646682117, 1.1809005235029552e-8, 0.00015793206360446746 ]
[ 2002, 1005, 1055, 1037, 3124, 8084, 2007, 2048, 3903, 1997, 2370, 1517, 1996, 2601, 1998, 1996, 2422, 1517, 1998, 2673, 2002, 2515, 1999, 2010, 2166, 2003, 21839, 2083, 3314, 1997, 2491, 1012, 1045, 3473, 2039, 2006, 1996, 3021, 12170, 2595, 3762, 2694, 2186, 1010, 2029, 1045, 2245, 2001, 1037, 2428, 16371, 6651, 2094, 1998, 2613, 2529, 2126, 2000, 2298, 2012, 1996, 16009, 1012, 1045, 2066, 2008, 1996, 2112, 2038, 2216, 11647, 1000, 1012, 4953, 1996, 16009, 1005, 1055, 2173, 2006, 1996, 2136, 1010, 21766, 20961, 4135, 2056, 1010, 1000, 2002, 1005, 1055, 2066, 1996, 10809, 3904, 1997, 2068, 2024, 2469, 2027, 2215, 2006, 2037, 2136, 1012, 2002, 1005, 1055, 1037, 6065, 8854, 1012, 2009, 1005, 1055, 2066, 1010, 1005, 2074, 5466, 1037, 17038, 1999, 1996, 2690, 1997, 1996, 2177, 1998, 2292, 1005, 1055, 3246, 2009, 4332, 2041, 2092, 999, 1000, 2023, 2003, 1996, 2034, 2537, 1999, 2029, 1996, 3364, 2652, 9484, 2036, 3248, 1996, 16009, 1012, 21766, 20961, 4135, 2409, 2047, 2259, 2932, 1010, 1000, 1045, 1005, 1049, 2428, 7568, 1012, 2053, 2028, 1005, 1055, 2412, 2209, 1996, 16009, 3599, 1025, 2027, 1005, 2310, 2467, 2589, 1039, 5856, 1012, 2027, 1005, 2128, 2183, 2000, 2079, 1996, 22128, 2644, 1030, 1011, 1030, 2895, 1010, 2644, 1030, 1011, 1030, 4367, 5425, 1012, 2061, 1045, 1005, 2222, 2941, 2377, 1996, 16009, 1012, 2008, 1005, 2222, 2022, 4569, 1000, 1012, 1996, 7605, 2944, 2109, 2000, 3443, 1996, 16009, 1005, 1055, 2303, 2001, 14440, 2044, 2146, 2479, 2303, 8569, 23891, 2099, 1998, 3287, 6167, 4842, 3889, 17083, 2213, 1010, 2096, 1996, 16009, 1005, 1055, 2227, 2001, 14440, 2044, 21766, 20961, 4135, 1012, 2000, 3443, 1996, 16009, 1005, 1055, 2376, 1010, 21766, 20961, 4135, 1005, 1055, 2376, 2001, 19803, 2007, 2216, 1997, 10223, 10768, 18752, 26745, 1998, 2500, 1025, 2174, 1010, 1996, 16009, 1005, 1055, 2069, 4092, 2240, 1006, 1000, 26136, 2100, 2643, 1012, 1000, 1007, 2001, 3024, 9578, 2011, 21766, 20961, 4135, 1012, 102, 101, 3782, 19610, 12255, 2004, 15321, 1024, 102, 101, 1996, 4410, 3159, 1997, 2004, 13444, 1010, 2241, 2006, 1996, 15342, 21637, 12764, 1997, 1996, 2168, 2171, 1012, 19610, 12255, 2001, 3459, 2004, 2112, 1997, 1037, 3674, 3185, 3066, 1012, 2002, 2018, 3130, 2499, 2007, 8183, 4757, 1059, 9072, 2239, 2006, 1996, 6644, 1999, 1996, 5249, 1012, 19610, 12255, 2056, 2008, 2002, 2001, 2583, 2000, 5441, 1996, 3997, 2002, 2328, 2039, 2005, 15321, 2011, 4852, 2010, 2833, 13822, 1010, 5398, 1997, 7975, 12682, 1010, 3869, 1010, 21475, 1010, 1998, 6763, 2296, 2154, 1012, 2043, 2356, 3599, 2129, 2172, 1010, 19610, 12255, 2056, 1010, 1000, 2026, 2303, 3635, 1999, 5250, 3492, 2172, 999, 1000, 2002, 10783, 2008, 15321, 1005, 1055, 14354, 1000, 2003, 2172, 2062, 1997, 1037, 3167, 2028, 1010, 1999, 1996, 3168, 2008, 2009, 1005, 1055, 2010, 2567, 2008, 2003, 18385, 2477, 2039, 1012, 6168, 3071, 2842, 1010, 2009, 1005, 1055, 2070, 2919, 3124, 2040, 2027, 1005, 2310, 10657, 2202, 2091, 1012, 2009, 1005, 1055, 1037, 2367, 3921, 2005, 2033, 1010, 2030, 2005, 15321, 1012, 2002, 1005, 1055, 7887, 2383, 2000, 2645, 1996, 3618, 2204, 1998, 2054, 2002, 2323, 2079, 5443, 1012, 2009, 1005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 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 ]
[ 0.00014120816164530102, 0.023659571386048347, 0.007370738734969503, 9.852357496733804e-9, 0.00035007127633250514, 0.000004212420797134326, 0.00008811658586111214, 0.0483009368774153, 0.014634037152818826, 0.001116744953903818, 0.0715494886542748, 0.003096982615326589, 9.852357496733804e-9, 0.0000025317233082002294, 0.02533207998612119, 0.01913733578542458, 0.03447231777777283, 0.0002567841636723679, 0.013545707196422807, 0.00005442932271124696, 0.0659677431925588, 0.0008711037562412644, 0.0033671700625987717, 0.0002666345817634335, 0.0010488437426906918, 0.00002516583064535768, 0.040798282566074325, 0.00046114747889946275, 0.05174992408664256, 0.0005898835611754124, 9.852357496733804e-9, 0.04314198326519675, 0.07354224592047533, 0.0009763814965664168, 0.0004895595621343921, 0.0002459393411022369, 0.0005443675392086055, 0.1601345821354077, 0.024733547256324206, 0.000007315781762287709, 0.005025207564185769, 0.01564050517181533, 0.18392410918372135, 0.0016566263821653556, 0.019549466075299757, 0.0017102900370086598, 0.000011490357465051481, 0.0006881623036726998, 0.038520673305370394, 0.0011983241299287134 ]
[ 1055, 2010, 2210, 2567, 2045, 1012, 1012, 1012, 1045, 1005, 2310, 2042, 10206, 2007, 2026, 3428, 2012, 2335, 1010, 2030, 2155, 1010, 2021, 1045, 1005, 1049, 1996, 2069, 2028, 2040, 2003, 3039, 2000, 2022, 4854, 2012, 2068, 1012, 2045, 1005, 1055, 1037, 2978, 1997, 2008, 1012, 1000, 102, 101, 20862, 26447, 2004, 17399, 22070, 4246, 1013, 2304, 7794, 1024, 102, 101, 1037, 3811, 4738, 8645, 2551, 2005, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2055, 1996, 2839, 1998, 2014, 3276, 2007, 24882, 6672, 1010, 26447, 2056, 1010, 1000, 2256, 3494, 2031, 1037, 2146, 2381, 1012, 2027, 1005, 2310, 4061, 2362, 2005, 1037, 2146, 2051, 1999, 1037, 2843, 1997, 7465, 1999, 2116, 2367, 3032, 1012, 2057, 1005, 2128, 1996, 2048, 2372, 1997, 2023, 13642, 22373, 2177, 2040, 2024, 10571, 6424, 1516, 2057, 2031, 2053, 3565, 11452, 2015, 1012, 2304, 7794, 2003, 5791, 2028, 1997, 1996, 2136, 1010, 2295, 1012, 2016, 1005, 1055, 2025, 1999, 1996, 3459, 3432, 2000, 2022, 1037, 6298, 17910, 2030, 3239, 9485, 1012, 2016, 1005, 1055, 2045, 2000, 2954, 1010, 2061, 1045, 2196, 2371, 2066, 1045, 2001, 1996, 2069, 2611, 1012, 2057, 2035, 2031, 2256, 2536, 4813, 1998, 2009, 5683, 5020, 1000, 1012, 4953, 2014, 2731, 1010, 26447, 2056, 1010, 1000, 2130, 2295, 3707, 2158, 1016, 2001, 1005, 2028, 1030, 1011, 1030, 2005, 1030, 1011, 1030, 2068, 1010, 1005, 1045, 1005, 1040, 2196, 2589, 2505, 2066, 2008, 2077, 1012, 1045, 1005, 1040, 2196, 2042, 8186, 5533, 1999, 2242, 1010, 2030, 1037, 2112, 1997, 2242, 2061, 2502, 1012, 2005, 1996, 14936, 1010, 1045, 1005, 2310, 2985, 2061, 2116, 2706, 2731, 2007, 2256, 15412, 2136, 1010, 1998, 3554, 2035, 1996, 2060, 5889, 1010, 2009, 1005, 1055, 4689, 1012, 1045, 2079, 2498, 2021, 2954, 1517, 2035, 1996, 2051, 1012, 1000, 102, 101, 7441, 14916, 3678, 2004, 16235, 12975, 1013, 24882, 6672, 1024, 102, 101, 1037, 3040, 11024, 2551, 2004, 2019, 4005, 2005, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 14916, 3678, 2056, 2009, 2001, 1037, 2200, 3558, 2535, 1998, 2008, 2002, 4738, 8186, 1998, 9051, 21383, 2004, 2172, 2004, 2825, 1999, 7547, 1012, 2055, 1996, 2535, 1010, 14916, 3678, 2056, 1010, 1000, 2043, 1045, 2387, 3707, 2158, 1010, 1045, 2245, 2008, 2001, 1037, 2428, 5926, 1030, 1011, 1030, 4632, 3921, 2000, 16251, 2229, 1012, 2059, 2027, 2409, 2033, 2055, 2023, 24882, 6672, 2839, 1010, 1998, 1045, 4669, 2129, 2002, 2347, 1005, 1056, 2428, 1037, 16251, 1025, 2002, 1005, 1055, 2074, 1037, 3124, 2007, 1037, 2152, 8066, 2275, 1012, 1045, 2071, 7532, 2000, 2008, 1012, 1000, 4953, 24882, 6672, 1005, 1055, 17515, 5177, 3012, 1010, 14916, 3678, 2056, 1010, 1000, 2009, 1005, 1055, 1037, 9479, 2208, 1012, 2002, 1005, 1055, 2019, 2041, 10526, 1012, 2010, 2069, 4434, 2003, 2000, 20862, 1005, 1055, 2839, 1010, 17399, 1012, 2009, 1005, 1055, 2066, 1037, 2187, 2192, 1013, 2157, 2192, 2518, 1012, 2027, 24873, 9048, 3367, 1010, 1998, 2017, 2342, 2068, 2119, 1010, 2926, 2043, 2009, 3310, 2000, 1037, 3558, 3260, 1012, 1000, 14916, 3678, 2056, 24882, 6672, 2003, 2025, 16021, 29150, 2055, 2010, 8438, 1012, 1000, 3243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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, 0, 0 ]
[ 0.0013626563893003362, 0.002464707565979594, 0.0554569872100185, 0.013711283698217306, 0.00033330087542865624, 0.000028418446400430785, 0.0007803199100053158, 0.004394906873961846, 0.0025701793760705438, 0.00002814577471196474, 0.056744992729096694, 0.00015354189088887527, 0.01073210286839928, 0.0000015067753878941994, 1.161546762130452e-8, 0.13411547037212282, 0.0006880767432537783, 0.006515562237247489, 0.12201242091097163, 0.06190491109766646, 0.0007692892503432089, 0.04357881101591074, 0.03344025778087523, 0.16598184001602112, 0.00015306790228998083, 0.002371140836723966, 0.0021801085813361164, 0.00007053439629434219, 0.00015678090882135373, 0.010302074543559782, 0.004409549321339639, 0.02066727175300149, 0.0009759940201158167, 0.00008224120423177315, 0.010569855632279314, 0.008362469795168326, 0.08571244224447468, 0.00003386004975036682, 0.0023991744363847088, 1.161546762130452e-8, 0.0043802329361302475, 0.0006614451603269945, 0.000012751083012861642, 0.0002611673496971789, 0.014653064192217468, 0.09234917152549722, 0.0011883046923600452, 0.020171997810894585, 0.00003001936129869641, 0.00007556722357812984 ]
[ 1996, 4500, 1010, 2002, 1005, 1055, 1996, 2069, 2028, 2040, 2064, 2428, 2202, 2091, 1996, 16009, 2007, 2010, 1031, 25283, 26147, 17629, 1030, 1011, 1030, 11182, 1033, 12563, 1012, 2002, 4282, 2010, 12546, 1012, 2021, 2043, 2009, 3310, 2091, 2000, 2009, 1010, 2045, 2038, 2000, 2022, 1037, 3168, 1997, 7023, 1999, 2151, 16251, 1012, 1000, 102, 101, 3419, 11041, 27822, 2669, 2004, 24143, 1024, 102, 101, 15321, 1005, 1055, 24787, 2567, 1998, 21363, 1010, 2241, 2006, 1996, 15342, 21637, 12764, 1997, 1996, 2168, 2171, 1012, 2055, 2010, 2839, 1005, 1055, 6622, 2013, 1996, 2143, 15321, 1010, 11041, 27822, 2669, 2056, 1010, 1000, 1045, 2228, 1996, 24143, 2057, 2156, 1999, 1996, 14936, 2003, 2582, 3935, 1012, 2017, 2031, 2000, 3198, 4426, 1996, 3160, 1024, 2129, 8242, 2019, 3325, 2003, 2009, 14489, 2046, 1037, 15485, 11484, 2008, 2038, 2042, 2580, 2011, 2070, 2785, 1997, 3565, 4517, 7738, 1997, 2010, 2219, 2437, 1029, 2061, 1045, 2228, 2011, 1996, 2051, 24143, 3065, 2039, 1999, 1996, 14936, 1010, 2002, 1005, 1055, 2464, 1037, 2261, 2477, 1012, 1000, 2055, 24143, 1005, 1055, 14354, 2015, 1010, 11041, 27822, 2669, 2056, 1010, 1000, 2012, 1996, 2927, 1997, 1996, 14936, 1010, 2002, 3310, 2000, 3011, 2000, 4942, 9103, 5867, 2009, 1998, 2010, 2801, 2003, 2000, 3627, 1996, 2529, 2679, 2004, 2037, 2332, 1012, 1998, 2066, 2035, 1996, 3972, 14499, 2389, 8285, 23423, 1997, 2529, 2381, 1010, 2002, 6732, 2023, 2003, 1037, 2307, 2801, 2138, 2065, 3071, 2003, 5697, 7425, 4691, 2032, 1010, 2045, 2097, 2022, 2053, 5233, 2061, 2002, 2097, 3443, 2070, 2785, 1997, 2088, 3521, 2011, 6996, 2068, 2004, 1037, 26508, 1012, 2021, 2002, 2003, 2036, 2785, 1997, 3972, 13936, 1999, 1996, 2755, 2008, 2002, 6732, 14668, 2373, 2097, 2507, 2032, 2969, 1030, 1011, 1030, 4847, 1010, 2061, 1045, 4033, 1005, 1056, 2292, 2175, 1997, 1996, 2755, 2008, 2002, 2003, 2145, 12774, 2011, 2023, 6659, 14225, 1998, 2785, 1997, 6259, 4078, 6030, 3508, 1012, 1000, 102, 101, 5215, 18281, 2004, 6316, 2522, 28426, 2239, 1024, 102, 101, 2019, 4005, 2007, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2040, 22558, 2116, 1997, 1996, 2407, 1005, 1055, 2492, 3136, 1012, 18281, 2001, 3459, 2004, 2112, 1997, 1037, 4800, 1030, 1011, 1030, 3861, 3066, 2007, 8348, 1012, 18281, 2056, 2010, 2535, 2001, 4423, 1999, 1996, 14936, 1024, 1000, 1031, 2054, 1033, 4005, 2522, 28426, 2239, 2018, 2468, 1999, 3408, 1997, 1996, 12324, 1997, 2023, 3327, 2466, 1010, 1998, 2129, 2590, 2010, 3105, 2003, 1999, 5026, 1996, 14936, 2362, 1010, 2009, 2785, 1997, 2371, 1037, 2210, 16524, 1010, 2066, 8307, 2001, 2652, 1037, 26418, 1998, 2008, 2347, 1005, 1056, 1996, 2613, 5896, 1012, 2021, 2009, 2347, 1005, 1056, 1010, 2009, 2001, 1996, 2613, 2518, 1010, 1045, 2288, 2000, 2265, 2039, 1998, 2079, 2008, 4933, 1010, 1998, 2009, 2371, 2066, 2107, 2019, 6429, 3477, 7245, 2000, 2054, 1996, 4990, 2018, 2042, 1998, 1996, 2755, 1045, 2018, 2042, 2725, 2009, 2005, 2274, 2086, 1012, 1000, 18281, 2056, 1059, 9072, 2239, 3024, 12369, 2046, 2010, 2839, 1005, 1055, 10457, 7062, 1010, 3391, 2055, 2522, 28426, 2239, 2108, 1037, 5470, 1997, 2952, 2637 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00018520288345380293, 0.049759532749520725, 0.00016811294577357417, 0.01059864636163807, 0.10198834351276494, 0.05913539587321748, 0.00128449790889737, 0.0021884169346164015, 0.024832843180560064, 0.0011346268596586974, 0.00023688753955549663, 0.0734637016363811, 0.014346281543111123, 0.03009959895199444, 0.0001205710002415396, 9.8304879805092e-9, 0.00964951149663433, 0.006308283138764403, 0.00014501081073427504, 0.07719176968402751, 0.07355013841667281, 0.00006371107064673763, 0.000006331064525993549, 0.02067789580782065, 0.015305668761959334, 0.00808754063050664, 0.040373309548202174, 0.0012092422742321345, 0.000035091473983783944, 9.8304879805092e-9, 0.00005160425696737074, 0.00046568112000346855, 0.00833396885134606, 0.07607926385520254, 0.00027195665402108746, 0.0015068188815397935, 0.011676393576673827, 0.00032390905904081054, 0.004365750582278474, 0.06353721351959445, 0.046355484346618424, 0.0005782145884592297, 0.02749192933010054, 0.034611348990757046, 0.00009720159887915816, 0.016154079306895917, 0.000013264248244237772, 0.0021812006689855305, 0.00003814012763304896, 0.08372039271568747 ]
[ 1012, 102, 101, 2522, 11283, 15488, 21285, 2545, 2004, 3814, 2940, 1024, 102, 101, 1037, 2152, 1030, 1011, 1030, 5464, 4005, 2007, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2040, 2573, 4876, 2007, 4027, 1005, 1055, 4172, 8111, 1012, 15488, 21285, 2545, 1010, 3183, 8183, 4757, 1059, 9072, 2239, 2320, 2641, 2005, 2010, 4895, 21572, 28901, 2444, 1030, 1011, 1030, 2895, 4687, 2450, 2143, 1010, 2001, 3479, 2013, 1037, 2460, 2862, 1997, 4022, 19910, 2164, 2062, 2532, 8670, 16665, 6657, 1012, 15488, 21285, 2545, 1005, 3066, 2052, 17409, 2014, 2046, 3157, 3152, 1012, 4953, 2014, 7547, 1010, 15488, 21285, 2545, 2056, 1010, 1000, 1045, 5086, 2023, 6429, 2304, 1030, 1011, 1030, 23092, 10365, 2000, 6570, 2033, 2129, 2000, 2907, 1037, 3282, 1010, 2202, 2033, 2000, 1037, 5008, 2846, 1010, 2129, 2000, 2718, 1010, 2129, 2000, 2907, 2870, 1010, 2129, 2000, 3328, 1998, 10468, 2129, 2000, 2298, 1012, 1045, 2123, 1005, 1056, 2079, 1037, 10228, 1997, 3554, 1999, 1996, 3185, 1010, 2029, 2003, 2339, 1045, 2347, 1005, 1056, 3253, 1037, 10365, 1010, 2021, 1045, 2359, 2000, 2298, 2066, 1045, 2018, 1996, 3754, 2000, 1012, 1000, 2006, 8800, 2000, 1996, 2839, 1010, 15488, 21285, 2545, 2056, 1010, 1000, 1045, 2064, 14396, 2000, 2014, 2108, 1037, 3566, 1998, 2108, 1037, 2449, 10169, 1998, 2667, 2000, 2147, 2440, 1030, 1011, 1030, 2051, 1998, 6274, 1037, 2155, 1998, 2383, 1037, 2476, 1012, 2057, 1005, 2128, 2356, 2000, 2079, 1037, 2843, 1997, 2477, 2122, 2420, 1012, 1045, 2514, 2016, 2003, 2074, 2035, 2055, 2014, 3105, 1998, 4363, 2477, 2183, 1012, 1000, 102, 101, 11894, 2078, 24053, 2869, 13444, 2004, 10240, 7367, 2140, 5737, 2290, 1024, 102, 101, 2019, 28625, 21281, 19570, 2923, 1998, 1037, 2767, 1997, 15321, 2104, 24143, 1005, 1055, 2491, 1010, 2040, 2003, 5702, 1996, 15540, 6906, 6593, 1005, 1055, 2373, 1012, 4953, 24143, 1005, 1055, 2491, 2058, 7367, 2140, 5737, 2290, 1010, 24053, 2869, 13444, 2056, 1010, 1000, 2092, 2007, 1996, 3496, 2057, 2106, 1999, 15321, 1010, 2009, 2001, 2066, 24143, 1010, 2028, 2126, 2030, 1996, 2060, 1010, 3133, 10240, 1005, 1055, 2568, 1012, 1998, 1999, 14936, 1010, 2017, 2097, 2156, 2062, 15563, 1999, 2129, 24143, 2003, 2478, 10240, 1005, 1055, 2568, 1012, 1000, 2055, 2010, 2535, 1010, 2002, 2056, 1010, 1000, 1031, 2026, 2839, 1033, 2003, 1997, 5197, 2021, 1996, 2946, 1997, 1996, 2535, 2003, 2025, 2502, 1012, 1000, 102, 101, 5212, 1048, 1012, 4027, 2004, 4172, 8111, 1024, 102, 101, 1996, 2472, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 2040, 2001, 3936, 1999, 3025, 3152, 2000, 2022, 19795, 1996, 1000, 14936, 6349, 1000, 1012, 4027, 2001, 2716, 2000, 1996, 2622, 2007, 1037, 3066, 4820, 2019, 5724, 2000, 2377, 1996, 2839, 1999, 2039, 2000, 3157, 8348, 3152, 1012, 4027, 2056, 2002, 2515, 2062, 1999, 1996, 14936, 2084, 1999, 2151, 1997, 1996, 3025, 3152, 1024, 1000, 2017, 2123, 1005, 1056, 2031, 2000, 3524, 2127, 1996, 2203, 1997, 1996, 3185, 2000, 2156, 2033, 1000, 1012, 2055, 1996, 2535, 1010, 4027, 2056, 1010, 1000, 2009, 1005, 1055, 2467, 2204, 2000, 2377, 8307, 1031, 2040, 1033 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 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 ]
[ 0.0006154149306980036, 0.04943729665110223, 0.0022623734909592253, 0.000002209453456319456, 0.001348490704908067, 0.0001624315338895419, 0.000006263905192462711, 0.00008074984112185031, 0.11732262361085814, 0.07507324746575786, 0.000008150603474511368, 0.004606928047514338, 0.04700641733972184, 0.02171241263201924, 0.01748175461795324, 0.04209393103281967, 0.00007414339714928358, 0.003329671909036698, 0.03402037403744519, 0.054800541935207406, 0.052091560952919704, 0.000632654840234389, 0.000003512684031926017, 0.0742969277362399, 1.0997887855638541e-8, 0.00983604686888873, 0.043931261779007656, 0.00003136117916490935, 0.017452416162313144, 0.1144423143679166, 0.00002233648048328615, 1.0997887856216448e-8, 0.03879684801742376, 0.000024790251796669657, 0.0013174774464368769, 0.00013604740782472593, 0.0002989827581712139, 0.05643394534220982, 0.0005706563254843563, 0.014444390253189976, 0.0015216083803867833, 0.03447571500555989, 7.092434874035994e-7, 0.000013998327884432938, 0.00004683619554961437, 0.0030638445868311826, 0.0013070583098977904, 0.0005622350669661802, 0.01603033032192134, 0.0467686845717169 ]
[ 2003, 1037, 3893, 1999, 2554, 2004, 4941, 2000, 8307, 2040, 2003, 1037, 4997, 1012, 1012, 1012, 1045, 2699, 2000, 2191, 2032, 2004, 7481, 2000, 1996, 2466, 1998, 2004, 7481, 2000, 2054, 2613, 1030, 1011, 1030, 2166, 2052, 4025, 1012, 1000, 4027, 4102, 1996, 2839, 2000, 2030, 12662, 1999, 9901, 2829, 1010, 4214, 2032, 1000, 1037, 3835, 3124, 2000, 6865, 2041, 2007, 1012, 2017, 2074, 2123, 1005, 1056, 2215, 2000, 2892, 2032, 1000, 1012, 102, 101, 1043, 11761, 11031, 14412, 13181, 2860, 1998, 18838, 2080, 13688, 16851, 2037, 4395, 2013, 3025, 3152, 2004, 11565, 8962, 3215, 1998, 14791, 4133, 4381, 1010, 4414, 1012, 2703, 6655, 5794, 2100, 5651, 2000, 2376, 1046, 1012, 1037, 1012, 1054, 1012, 1058, 1012, 1045, 1012, 1055, 1012, 6976, 1059, 9072, 2239, 18843, 13573, 11064, 11253, 17509, 1996, 2060, 1010, 1998, 5477, 3258, 13433, 25090, 2121, 17509, 2010, 3040, 1010, 2084, 2891, 1006, 13294, 1999, 1996, 2143, 1007, 1010, 1999, 1037, 2695, 1030, 1011, 1030, 4923, 3496, 1012, 4204, 9065, 2063, 1998, 8437, 12943, 26878, 3711, 2004, 2372, 1997, 1996, 2088, 3036, 2473, 1012, 14936, 2522, 1030, 1011, 1030, 8543, 9761, 3389, 2038, 1037, 12081, 3311, 1999, 1037, 2739, 3189, 1012, 4302, 4670, 15845, 12081, 2015, 2004, 1037, 3036, 3457, 1010, 1998, 3907, 2143, 2472, 15333, 28534, 15315, 10893, 5302, 10344, 3544, 2004, 12062, 2072, 12776, 2232, 7724, 1010, 22070, 4246, 1005, 1055, 6970, 3217, 20697, 2953, 1012, 4372, 6299, 1043, 5558, 2912, 3501, 1010, 2040, 2101, 2253, 2006, 2000, 2377, 4005, 3817, 28535, 1999, 1996, 2186, 4005, 5708, 1010, 3544, 2004, 1037, 2610, 2961, 1012, 102, 101, 102, 101, 1027, 1027, 2537, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2458, 1027, 1027, 1027, 102, 101, 102, 101, 20704, 2072, 19027, 2094, 1010, 1996, 5766, 1997, 8348, 4835, 1010, 2034, 2623, 3488, 2000, 4503, 1996, 2143, 1999, 2258, 2384, 1010, 2044, 8348, 9926, 4161, 4336, 2011, 9698, 2075, 2007, 16239, 11404, 2000, 3965, 1037, 12796, 1997, 3152, 2008, 2052, 2022, 5500, 2011, 11734, 4620, 1012, 8348, 6936, 2037, 3488, 1999, 1037, 4766, 8312, 2000, 2813, 2395, 18288, 1025, 1996, 2996, 1005, 1055, 6808, 2001, 2000, 2713, 3265, 3152, 2005, 1996, 2364, 3494, 1517, 2000, 5323, 2037, 15702, 1998, 5220, 4697, 9501, 2007, 2068, 1517, 2077, 16468, 1996, 3494, 2362, 1999, 1037, 16335, 2143, 1012, 11167, 23564, 2243, 9502, 1010, 2040, 2626, 1996, 9788, 16009, 1006, 2263, 1007, 1010, 2001, 5086, 2011, 8348, 4835, 2000, 4339, 1996, 2143, 1999, 2238, 2289, 1012, 1999, 1996, 5256, 1997, 1996, 2289, 1516, 2263, 4898, 9054, 1997, 2637, 4894, 1010, 8348, 13630, 2007, 1996, 4898, 9054, 1997, 2637, 2000, 5676, 2008, 2009, 2071, 3443, 3152, 2241, 2006, 2049, 5021, 2338, 14562, 1010, 2164, 2952, 2637, 1010, 14405, 1030, 1011, 1030, 2158, 1998, 1996, 14936, 1012, 2044, 1996, 3144, 2713, 1997, 3707, 2158, 1006, 2263, 1007, 1999, 2089, 1010, 1996, 2194, 2275, 1037, 2251, 2249, 2713, 3058, 2005, 1996, 14936, 1012, 1999, 2244, 2263, 1010, 8348, 4835, 2584, 2019, 3820, 2007, 11734, 1517, 2019, 5331, 1997, 1037, 3025, 5386, 1517, 2029, 2435, 1996, 2194, 4353, 2916, 2005, 2274, 2925, 8348, 3152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0016146471091735002, 0.013249060708963202, 0.09915240133383776, 0.06842054364739662, 0.00029717125285284667, 0.0000279097776645933, 9.697816051826202e-9, 0.000008598449618367241, 0.026417676899089686, 0.00550440680360847, 0.013157355552720093, 0.0818397780397676, 0.0009990042615853861, 0.00013002921437788644, 0.0001084000884105127, 0.0003314096530139316, 0.01668006747100114, 0.008680692056015057, 9.697816051826202e-9, 0.001484170609057173, 0.05854403858822168, 0.011108561551898323, 0.00032393142759300523, 0.0005642477360958518, 0.05772463371505167, 0.0000020645610986833314, 0.019559282498714477, 0.001542111772189771, 0.011454576274890983, 0.08034996878223104, 0.00018965421260247825, 0.12265579068486197, 0.0030551622993098258, 0.0018264439206458862, 0.00007267791317110703, 0.000019639792903256432, 0.00039604883593078767, 0.0057934608664273754, 9.697816051826202e-9, 0.03354835394165376, 0.00017417472284431915, 0.0003929394598670863, 0.01828321825816509, 0.11923015846696197, 9.697816051826202e-9, 0.0061537472201161625, 0.014432915517739012, 0.0000033070528338240275, 0.05848109890665308, 0.03601442929990937 ]
[ 1012, 102, 101, 9179, 2211, 1999, 2255, 2263, 2007, 2091, 3240, 1005, 1055, 6608, 1012, 2295, 2123, 18178, 4215, 2571, 2001, 2036, 2988, 2000, 2022, 16360, 6935, 2075, 2010, 3707, 2158, 1016, 2535, 1997, 2162, 3698, 2005, 1996, 14936, 1010, 2002, 2101, 3090, 2008, 2002, 2106, 2025, 2228, 1996, 2839, 2052, 3711, 1999, 1996, 2143, 1012, 2012, 1996, 2168, 2051, 1010, 2048, 2350, 16746, 4158, 2005, 8348, 1024, 6285, 6904, 12229, 4887, 2001, 2716, 1999, 2004, 2019, 3237, 3135, 2005, 1996, 2143, 1010, 1998, 1996, 2194, 2772, 1037, 2146, 1030, 1011, 1030, 2744, 10084, 2007, 15842, 4835, 2000, 3965, 2093, 2060, 2502, 1030, 1011, 1030, 5166, 3152, 1517, 3707, 2158, 1016, 1010, 15321, 1006, 2249, 1007, 1010, 1998, 2952, 2637, 1024, 1996, 2034, 24896, 2099, 1006, 2249, 1007, 1517, 2012, 2037, 7128, 3509, 1010, 2662, 3375, 1012, 10223, 10768, 18752, 26745, 1010, 2040, 6126, 16009, 1999, 1996, 9788, 16009, 1010, 3090, 2008, 2002, 2052, 2022, 2920, 1999, 1996, 2143, 1012, 1999, 2337, 2268, 1010, 5212, 1048, 1012, 4027, 2772, 1037, 3157, 1030, 1011, 1030, 3861, 3066, 2007, 8348, 4024, 2000, 2377, 4172, 8111, 1999, 3707, 2158, 1016, 1998, 2060, 3152, 1012, 1999, 2244, 2268, 1010, 3487, 10770, 1010, 2040, 2209, 5503, 9484, 1999, 1996, 9788, 16009, 3090, 2008, 2002, 2001, 2330, 2000, 4192, 1999, 1996, 2143, 1012, 1996, 2279, 3204, 1010, 3237, 3135, 6285, 6904, 12229, 4887, 3090, 2008, 2002, 2052, 2025, 3622, 1996, 2143, 1010, 2021, 2052, 1000, 5791, 2031, 7953, 1998, 1037, 2360, 1000, 1012, 6904, 12229, 4887, 2036, 5228, 5936, 1010, 5517, 1010, 1000, 2009, 1005, 1055, 2183, 2000, 2022, 2524, 1010, 2138, 1045, 2001, 2061, 2920, 1999, 4526, 1996, 2088, 1997, 3707, 2158, 1010, 1998, 3707, 2158, 2003, 2200, 2172, 1037, 6627, 1030, 1011, 1030, 2241, 5394, 1010, 1998, 2059, 2007, 14936, 2017, 1005, 2128, 2183, 2000, 2022, 10449, 2070, 11189, 5919, 2138, 1997, 15321, 1012, 1012, 1012, 1031, 6809, 1033, 1996, 2048, 1997, 2216, 2573, 2200, 2092, 1999, 1996, 5021, 2808, 1010, 2021, 2009, 1005, 1055, 2183, 2000, 2202, 1037, 2843, 1997, 16465, 2791, 2000, 2191, 2008, 2035, 2147, 1998, 2025, 6271, 1996, 4507, 2008, 2057, 1005, 2310, 2580, 1000, 1012, 1999, 2233, 2268, 1010, 3883, 20862, 26447, 2999, 6253, 14969, 1999, 17274, 17399, 22070, 4246, 1999, 3707, 2158, 1016, 1010, 1037, 3066, 2008, 3525, 4987, 2014, 2000, 1996, 14936, 1012, 1996, 2931, 16251, 19411, 2001, 2443, 1999, 2019, 3041, 4433, 1997, 1996, 5896, 2517, 2077, 26447, 1005, 1055, 6624, 1012, 1996, 2206, 2154, 1010, 8348, 2623, 2008, 1996, 2143, 1005, 1055, 2713, 3058, 2018, 2042, 3724, 2067, 2000, 2089, 1018, 1010, 2262, 1010, 2471, 1037, 2440, 2095, 2101, 1012, 3782, 19610, 12255, 1998, 3419, 11041, 27822, 2669, 2587, 1996, 2143, 1005, 1055, 3459, 1999, 2238, 1010, 4192, 2004, 15321, 1998, 24143, 1010, 4414, 1012, 102, 101, 1999, 2251, 2268, 1010, 9502, 5720, 2055, 1996, 16335, 2832, 1010, 5517, 1010, 1000, 2026, 3105, 2003, 2000, 2785, 1997, 10382, 2090, 1996, 2367, 5691, 1998, 2191, 2469, 2008, 2633, 2057, 1005, 2128, 23150, 6834, 2008, 5021, 2338, 3252, 2073, 2035, 1997, 2122, 5691, 2024, 4198, 1012, 1012, 1012, 2045 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.014693657851218463, 0.003960628315010152, 0.0012559027339195297, 0.0006376213956397829, 0.0015480679706666662, 0.00453380514034023, 0.012711143460668614, 0.007789927351210678, 0.037514707407434435, 0.00006934109263343354, 0.000664871049081406, 0.007007559298868102, 0.1716211855564714, 0.0012086548633477466, 0.00782377999264003, 0.06434740803316819, 0.003222833754185051, 0.0002858556588482952, 0.011294319825731973, 0.05755007304535542, 0.0011408994205103207, 0.0010478249827401873, 0.00350435080196482, 0.030262155431845388, 0.028975957210853824, 0.0341156369774783, 0.08755287644057545, 0.04395305637629285, 0.010765447278416718, 0.00004381262283974865, 0.000010786878157975565, 0.024863822955812107, 0.028432143227568898, 0.1126030401312929, 0.03082484526363874, 0.0034193215192188176, 0.004049148595140962, 0.0016374042699650244, 0.0019924081982379254, 0.015449230539970025, 1.0636396899278767e-8, 0.06061623178818195, 0.04144427781779254, 0.0007492267697340081, 0.0037430404466503296, 0.01130602479177005, 0.004675898617464407, 0.0029413500231614204, 1.0636396899278767e-8, 0.00013841555349079882 ]
[ 1005, 1055, 2074, 1037, 2604, 2008, 3162, 1005, 2182, 1005, 1055, 2073, 2673, 2008, 6433, 1999, 2023, 3185, 17702, 2015, 2007, 2008, 3185, 1005, 1012, 1012, 1012, 1045, 1005, 1049, 6183, 2068, 2000, 2079, 2004, 2116, 2019, 9581, 14606, 2004, 2825, 2000, 2019, 21499, 1996, 3185, 1010, 2000, 4009, 7923, 2061, 2008, 2057, 1005, 2128, 2035, 2551, 2125, 1996, 2168, 5107, 4784, 1012, 2021, 1996, 4654, 29206, 9243, 1997, 2537, 2202, 2034, 9470, 1000, 1012, 102, 101, 1999, 2254, 2230, 1010, 8348, 4835, 2708, 4901, 24664, 3351, 2001, 2356, 2065, 2009, 2052, 2022, 3697, 2000, 11463, 2094, 1996, 5913, 1997, 15321, 2007, 1996, 2152, 1030, 1011, 1030, 6627, 2671, 4349, 1999, 3707, 2158, 1998, 1996, 14936, 1012, 1000, 2053, 1010, 1000, 2002, 2056, 1010, 1000, 2138, 2057, 1005, 2128, 2725, 1996, 2990, 15129, 1013, 9761, 3389, 1013, 10598, 4079, 3385, 1013, 1046, 1012, 2745, 2358, 22648, 23749, 5488, 15321, 1012, 2057, 1005, 2128, 2025, 2725, 1996, 6271, 1030, 1011, 1030, 1996, 1030, 1011, 1030, 6497, 1030, 1011, 1030, 2125, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 1996, 1030, 1011, 1030, 2214, 1030, 1011, 1030, 15342, 1030, 1011, 1030, 2338, 1030, 1011, 1030, 1999, 1030, 1011, 1030, 2115, 1030, 1011, 1030, 3075, 15321, 1012, 1998, 1999, 1996, 15321, 1997, 1996, 8348, 5304, 1010, 2045, 1005, 1055, 1037, 2679, 2170, 1996, 2004, 13444, 7066, 1012, 1998, 2057, 1005, 2128, 5799, 2083, 2023, 3392, 1997, 2166, 2008, 2057, 1005, 2128, 11499, 1997, 1012, 2009, 1005, 1055, 2613, 2671, 1010, 2021, 2057, 2123, 1005, 1056, 2113, 2055, 2009, 2664, 1012, 1996, 1005, 15321, 1005, 3185, 2003, 2055, 4252, 2111, 2008, 1000, 1012, 1999, 2233, 1010, 2009, 2001, 2988, 2008, 9502, 2018, 2949, 1996, 2034, 4433, 1997, 1996, 5896, 1010, 1998, 2008, 8348, 3559, 1030, 1011, 1030, 1999, 1030, 1011, 1030, 2708, 3533, 10861, 3736, 2850, 1998, 14936, 5021, 1030, 1011, 1030, 2338, 3213, 4422, 2745, 8815, 2483, 2018, 2363, 4809, 1012, 2036, 1999, 2233, 1010, 3782, 6473, 3970, 2019, 3749, 2000, 2377, 2952, 2637, 1999, 2093, 3152, 2164, 1996, 14936, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3653, 1030, 1011, 1030, 2537, 1027, 1027, 1027, 102, 101, 102, 101, 2011, 2258, 2230, 1010, 8183, 4757, 1059, 9072, 2239, 2001, 2485, 2000, 7678, 1037, 3066, 2000, 3622, 1996, 2143, 1998, 2000, 2128, 6198, 9502, 1005, 1055, 5896, 1010, 1998, 2001, 3985, 2623, 1999, 2251, 2230, 1012, 2043, 1059, 9072, 2239, 2363, 9502, 1005, 1055, 4433, 1010, 2002, 2409, 24664, 3351, 2002, 2371, 1996, 2996, 2106, 2025, 1000, 2031, 2505, 1000, 1998, 2027, 2323, 1000, 9811, 2023, 4433, 2196, 3047, 1000, 1012, 1059, 9072, 2239, 2253, 2006, 2000, 4339, 1037, 2274, 3931, 3949, 1997, 2010, 2933, 2005, 1996, 2143, 1010, 1998, 2580, 1996, 6415, 4179, 1000, 14936, 1024, 2070, 3320, 3223, 1000, 1010, 24808, 2075, 2006, 1996, 1000, 14936, 21365, 1000, 14558, 2013, 1996, 5021, 2808, 1012, 8348, 2855, 2211, 2551, 2000, 3696, 1059, 9072, 2239, 2000, 4339, 1998, 3622, 1010, 2069, 2358, 11514, 10924, 2008, 2002, 2421, 1996, 14936, 2114, 24143, 1010, 1037, 2645, 2426, 1996, 7348, 1999, 1996, 2690, 1010, 1037, 2645, 2114, 1996, 16219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.02740371548565388, 0.13928191265141712, 2.5115820552689825e-7, 0.034942576954870075, 0.00015842451093031222, 0.03172676642233404, 0.004116134808401309, 0.048821134566805154, 0.06074645489543501, 0.000037872687185756004, 0.000005302522189796402, 0.008032767706246443, 0.00031142591981389166, 0.013351387231665427, 0.001669175519476035, 0.00001320532080904092, 0.001424020207409669, 0.024358077384136704, 0.047902071301598875, 0.0012877072804674612, 0.022465531972407738, 1.1760935464808178e-8, 0.023281938620203894, 0.007278255622218691, 0.0005420318346541292, 0.00004305825483475443, 0.00023567266279584908, 0.07717238453054527, 0.002591371511889795, 1.1760935464808178e-8, 0.026285957812873566, 0.0014180137927314984, 0.06629144707404294, 0.00029874141096502437, 0.013701039037273698, 0.001784809364473228, 0.03576767251578174, 0.004990886111538225, 0.00033109767348509937, 0.00003076999949293888, 1.1760935464808178e-8, 0.01657782435989379, 0.014659315668306992, 0.004656898861531514, 0.1308802760760443, 0.013683927700240347, 0.020441744089697823, 0.0000824218753819841, 0.02500419892981626, 0.04391229281902087 ]
[ 2012, 1996, 2203, 1010, 1998, 2002, 2131, 1996, 3185, 2589, 2005, 2049, 2089, 2262, 2713, 1012, 2006, 1996, 14763, 1010, 19027, 2094, 3090, 1024, 1000, 2026, 3167, 5448, 2003, 2008, 8183, 4757, 2097, 2079, 1037, 10392, 3105, 1012, 2002, 7459, 2122, 3494, 1998, 2003, 1037, 10392, 3213, 1012, 1012, 1012, 2009, 1005, 1055, 2112, 1997, 2010, 2166, 2061, 2017, 2113, 2002, 2003, 2183, 2000, 4047, 2009, 1012, 1012, 1012, 1045, 5987, 2619, 2066, 2032, 2003, 2183, 2000, 2191, 1996, 5896, 2130, 2488, 1000, 1012, 24664, 3351, 2794, 1010, 1000, 1045, 1005, 2310, 2124, 8183, 4757, 2005, 2116, 2086, 1012, 2057, 2020, 2559, 2005, 1996, 2157, 2518, 1998, 2002, 2234, 1999, 1998, 2777, 2006, 2009, 1012, 1012, 1012, 2057, 2215, 1031, 3968, 1033, 2000, 2424, 1037, 2472, 2008, 1521, 1055, 2006, 1996, 16079, 1997, 2725, 2242, 2307, 1010, 2004, 2057, 2228, 8183, 4757, 2003, 1012, 1000, 1059, 9072, 2239, 3090, 2012, 1996, 2230, 2624, 5277, 5021, 1030, 1011, 1030, 9530, 2248, 1010, 2008, 2054, 3881, 2032, 2000, 1996, 2143, 2003, 2008, 2002, 7459, 2129, 1000, 2122, 2111, 5807, 1005, 1056, 2022, 1999, 1996, 2168, 2282, 2292, 2894, 2006, 1996, 2168, 2136, 1517, 1998, 2008, 2003, 1996, 6210, 1997, 2155, 1000, 1012, 102, 101, 1996, 9179, 2832, 2506, 2046, 2172, 1997, 2230, 1010, 2007, 1996, 13134, 1997, 7441, 14916, 3678, 1010, 2928, 21766, 20961, 4135, 1010, 1998, 5215, 18281, 1012, 21766, 20961, 4135, 2999, 3487, 10770, 1010, 2040, 8348, 6430, 2000, 2031, 2067, 1012, 1000, 2057, 2031, 2081, 1996, 3247, 2000, 2025, 3288, 3968, 10770, 2067, 2000, 17279, 1996, 2516, 2535, 1997, 5503, 9484, 1999, 1996, 14936, 1010, 1000, 3090, 24664, 3351, 1012, 1000, 2256, 3247, 2003, 5791, 2025, 2028, 2241, 2006, 12194, 5876, 1010, 2021, 2612, 15685, 1999, 1996, 2342, 2005, 2019, 3364, 2040, 7861, 5092, 18389, 1996, 14842, 1998, 12317, 4382, 1997, 2256, 2060, 10904, 3459, 2372, 1012, 1996, 14936, 7670, 2867, 2040, 25220, 2551, 2004, 2112, 1997, 2019, 7241, 1010, 2004, 21328, 2011, 2728, 1010, 3782, 1044, 1010, 3782, 1041, 1010, 5212, 1010, 20862, 1010, 1998, 2035, 1997, 2256, 10904, 23942, 1012, 2057, 2024, 2559, 2000, 14970, 1037, 2171, 3364, 2040, 13883, 2015, 2122, 5918, 1010, 1998, 2003, 13459, 2055, 1996, 14430, 2535, 1999, 1996, 2746, 3134, 1012, 1000, 1999, 3433, 1010, 10770, 1005, 1055, 4005, 4422, 25430, 18117, 13887, 11703, 11998, 24664, 3351, 1005, 1055, 4861, 1010, 4214, 2009, 1000, 3800, 7699, 22369, 1000, 1998, 2019, 1000, 15884, 3535, 2000, 6773, 2256, 7396, 1999, 1037, 4997, 2422, 1000, 1012, 1999, 2255, 2297, 1010, 10770, 3555, 2009, 2001, 2010, 2219, 3247, 2196, 2000, 2377, 16009, 2153, 2138, 2002, 1000, 2359, 2062, 8906, 1000, 2007, 2010, 2476, 1010, 1998, 2106, 2025, 2215, 2000, 2022, 3378, 2007, 2069, 2028, 2839, 1012, 102, 101, 1999, 2257, 2230, 1010, 2009, 2001, 2988, 2008, 11734, 4620, 1998, 8348, 4835, 2020, 4041, 2000, 2707, 5008, 1999, 2337, 1012, 7453, 1010, 2009, 2001, 4161, 2008, 1996, 2143, 2052, 2022, 2915, 1999, 7605, 1010, 2348, 2928, 21766, 20961, 4135, 2101, 1056, 28394, 3064, 2008, 2023, 2001, 2025, 1996, 2553, 1012, 1999, 2255, 2230, 1010, 24665, 2819, 2386, 4835, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.04404939811206787, 1.0050256306662569e-8, 0.000008281918968690845, 0.0027199573884829605, 0.001774374468778166, 0.071883692880417, 0.0005701069901025738, 0.0000072732202302981454, 0.0023568991151785073, 0.05415975858878578, 0.06157727659477306, 0.0000020781563434564516, 1.0050256306662569e-8, 0.003327355316729787, 0.00002827575239603778, 0.00009069677143640731, 0.05476061157693898, 0.00011906955006503902, 0.05120046288579744, 0.01669241461835025, 0.08768199197612356, 0.00292989371565662, 0.0006375175082082106, 0.08508232167739518, 0.027936163618081787, 0.08035706333048098, 1.0050256306662569e-8, 0.000026025922055702514, 0.00001358416906444661, 0.005693450910761706, 0.00004122597287380023, 0.11431245253967845, 0.00855608281642901, 0.07101195630323535, 0.0000015140678618320413, 0.01968190919066257, 0.000016133706844647832, 0.028469948410762783, 0.02364774696110894, 0.02351371677266732, 0.0008173083080792998, 0.029007801083023102, 0.007486634824575967, 0.01642605146962468, 0.0011678590721851479, 0.00010766881229232226, 2.49197188673053e-7, 0.00003714788647068984, 0.0000015511546085049275, 0.000009014565387446263 ]