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
[ 2056, 1010, 1000, 2008, 1010, 6203, 2879, 1010, 2001, 5005, 1012, 2023, 2003, 1996, 1005, 1051, 2080, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 13493, 6209, 7601, 5043, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 2603, 2257, 3476, 1010, 2006, 2778, 3098, 2005, 11458, 1005, 1055, 24308, 2015, 1010, 4231, 6334, 2054, 2002, 2056, 2001, 2010, 7398, 5798, 1006, 2348, 2009, 2001, 2245, 2012, 1996, 2051, 2000, 2022, 2010, 3983, 1007, 2012, 1037, 6209, 7601, 1999, 13493, 1010, 4174, 1012, 4372, 2102, 9148, 22516, 2101, 2056, 1010, 1000, 2002, 2787, 2008, 2065, 2009, 2001, 1037, 2270, 5084, 2755, 2008, 2009, 2001, 2010, 7398, 5798, 1010, 2002, 2052, 2022, 2583, 2000, 4392, 1012, 1000, 102, 101, 1996, 7101, 3202, 2211, 5948, 2588, 2010, 5508, 1999, 13493, 1012, 1996, 2040, 2985, 1996, 5027, 5873, 2334, 2557, 3703, 2007, 7912, 4572, 1006, 2059, 1996, 2316, 1005, 1055, 2270, 2923, 1007, 1010, 1998, 4231, 13686, 2005, 1037, 6302, 2648, 1996, 3309, 1999, 2392, 1997, 1037, 1000, 3407, 5798, 6766, 1000, 3696, 2404, 2039, 2011, 1996, 3309, 2968, 1012, 2429, 2000, 4572, 1010, 4231, 2001, 7144, 2011, 1996, 2051, 1996, 2316, 2253, 23542, 2012, 1996, 2012, 3702, 2152, 2082, 2374, 3346, 1012, 102, 101, 4192, 2000, 1996, 3309, 1010, 4231, 2318, 1037, 2833, 2954, 1998, 2574, 9850, 2211, 3909, 2083, 1996, 2250, 1012, 1996, 7101, 6573, 2041, 2112, 1997, 2010, 2392, 11868, 1025, 2012, 1996, 2902, 1010, 7435, 2071, 2025, 2507, 2032, 2019, 9617, 4355, 20086, 1006, 2349, 2000, 2010, 1999, 15878, 18769, 1007, 2077, 9268, 1996, 6893, 1997, 1996, 11868, 1012, 2067, 2012, 1996, 3309, 1037, 27868, 12591, 1025, 2543, 4654, 3436, 27020, 22328, 2020, 2275, 2125, 1010, 6368, 1006, 1998, 5200, 1007, 6908, 2046, 1996, 5742, 4770, 1998, 1037, 3682, 7283, 3908, 1012, 1996, 8488, 3092, 2069, 2043, 2610, 3369, 2007, 4409, 4567, 1012, 102, 101, 1037, 9943, 6209, 7601, 2968, 3591, 1996, 2967, 2007, 1037, 3021, 2005, 1002, 2484, 1030, 1010, 1030, 2199, 1010, 2029, 2001, 7283, 3876, 2011, 11458, 1005, 1055, 24308, 2015, 2778, 3208, 3968, 2094, 28641, 1012, 4865, 22342, 3555, 2008, 1996, 2040, 2020, 7917, 2005, 2166, 2013, 2035, 1997, 1996, 3309, 1005, 1055, 5144, 1010, 2021, 10589, 2626, 2008, 2027, 4370, 2012, 1037, 6209, 7601, 1999, 10541, 1010, 2047, 2259, 1037, 2733, 2101, 1012, 2002, 2036, 11621, 1037, 4235, 2218, 6772, 2008, 4231, 5225, 1037, 5367, 6803, 2046, 1996, 3309, 1005, 1055, 5742, 4770, 1010, 2004, 3555, 2011, 1996, 7101, 1999, 1037, 3285, 5291, 2962, 4357, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 4458, 2041, 2006, 2754, 1027, 1027, 1027, 102, 101, 102, 101, 4231, 1005, 1055, 9580, 2211, 2000, 25174, 2010, 2740, 1998, 15258, 1012, 2076, 1996, 3381, 17718, 18981, 10222, 2401, 2778, 1010, 2012, 1996, 2040, 1005, 1055, 2834, 2149, 3058, 2012, 1996, 11190, 4186, 1999, 18509, 2103, 1010, 2662, 1010, 4231, 13749, 17944, 1037, 8150, 1997, 25283, 26147, 6856, 2545, 1998, 17951, 1012, 2076, 1996, 4164, 1010, 4231, 2979, 2041, 2006, 2010, 6943, 8934, 2076, 1000, 2180, 1005, 1056, 2131, 25857, 2153, 1012, 1000, 1996, 2316, 3030, 2652, 1010, 1998, 1037, 2177, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.034155687373439, 1.8980891649492743e-7, 0.018462045595172647, 0.0027070190189411496, 0.00002958254793076324, 0.00014145169772867026, 0.08330690673130432, 0.0027580598853998244, 0.02124449051448281, 0.1029668286915749, 0.00019449788286695244, 0.00002042833622615331, 0.00007098181019452505, 0.0000036970021731615496, 0.004067414647348069, 0.22413644048204875, 0.00006419361255985909, 0.00010904027997105006, 0.009077463953633838, 1.0544385536478417e-8, 0.0002342783543198617, 0.0008343077469871555, 0.01638006916516309, 0.04528283739287382, 0.00011774635484083291, 0.007602406023058814, 0.06238213774453144, 1.0544385536478417e-8, 0.0178310678521477, 0.0003844737016668347, 0.0013010345009180524, 0.03259279347390219, 0.029802179010569294, 0.06492296533674252, 0.0027777299113786813, 0.001417900643681424, 0.00024016429312170693, 0.005057435853643378, 0.013986114835363488, 0.00021378987243181829, 0.08561882464848555, 0.03168611392524823, 0.002409848124725632, 0.003628654105139932, 0.001218171744210876, 0.04664099290320478, 0.0007009406028558614, 0.00002760499835463678, 0.021161341012108644, 0.000029634907639836446 ]
[ 2346, 3111, 3344, 4231, 12446, 26702, 1012, 2027, 2435, 2032, 1037, 6457, 1998, 2019, 13341, 1997, 2522, 28228, 3385, 2063, 1010, 6016, 2032, 2067, 23542, 2044, 1037, 4228, 1030, 1011, 1030, 3371, 8536, 1012, 4231, 2979, 2041, 2153, 2076, 1000, 3894, 3902, 1010, 1000, 1998, 2001, 2153, 3718, 2013, 1996, 2754, 1012, 1996, 2316, 2506, 2302, 2032, 2005, 2195, 2774, 2077, 4865, 22342, 2356, 1010, 1000, 2064, 3087, 2377, 1996, 3846, 1029, 1516, 1045, 2812, 8307, 2204, 1029, 1000, 1037, 7101, 1999, 1996, 4378, 1010, 8040, 4140, 11085, 8091, 1010, 2234, 2039, 1998, 2209, 1996, 2717, 1997, 1996, 2265, 1012, 102, 101, 2076, 1996, 3098, 3058, 1997, 1996, 2316, 1005, 1055, 2233, 3299, 2149, 2778, 2012, 1996, 3731, 3871, 1010, 4231, 2979, 2041, 2058, 2010, 6943, 8934, 2044, 2048, 3616, 1998, 1996, 2265, 2001, 24501, 7690, 18696, 1012, 1996, 2279, 3944, 4231, 23087, 3908, 2673, 1999, 2010, 3309, 2282, 1010, 3013, 2370, 2725, 2061, 1998, 2979, 2041, 1012, 2002, 2001, 3603, 2011, 3208, 3021, 13730, 4509, 3051, 1010, 2040, 2165, 2032, 2000, 1037, 2902, 1010, 4129, 2032, 1000, 1045, 1005, 1049, 6069, 2131, 1996, 3460, 2000, 2131, 2017, 3835, 1998, 4906, 1010, 2061, 2017, 1005, 2128, 2067, 2306, 2048, 2420, 1012, 2138, 1045, 2215, 2000, 3338, 2115, 8239, 5730, 1012, 1012, 1012, 2017, 2031, 21746, 2023, 2316, 2105, 2061, 2116, 2335, 1998, 1045, 1005, 1049, 2025, 2383, 2009, 2151, 2062, 1012, 1000, 7435, 2409, 13730, 4509, 3051, 2008, 2065, 2002, 2018, 2025, 21116, 1010, 4231, 2052, 2031, 23919, 2000, 2331, 1012, 9409, 4081, 2008, 2012, 2023, 2391, 17488, 7913, 2100, 1998, 4372, 2102, 9148, 22516, 5667, 2641, 7493, 4231, 1010, 2021, 2787, 2008, 2725, 2061, 2052, 2191, 2010, 2166, 4788, 1012, 102, 101, 2076, 1996, 2316, 1005, 1055, 3405, 7842, 22414, 14656, 2013, 3339, 2000, 3301, 1010, 4231, 4227, 1037, 6196, 3815, 1997, 3635, 1012, 4372, 2102, 9148, 22516, 2038, 2056, 2008, 4231, 1998, 1996, 2040, 2584, 2037, 2444, 4672, 1999, 3339, 1516, 6146, 1012, 2012, 1996, 2203, 1997, 1996, 3299, 2149, 2778, 1999, 5631, 2008, 2257, 1010, 1996, 7101, 1010, 3972, 15735, 3560, 1010, 2001, 5845, 1999, 5365, 3986, 2902, 2005, 2809, 2420, 1012, 1996, 2177, 2001, 4986, 2008, 2002, 2052, 2022, 4039, 2000, 3143, 1996, 2197, 4190, 1997, 1996, 2778, 1010, 2029, 3092, 2012, 11035, 7053, 5822, 1999, 4361, 2006, 2538, 2255, 1006, 4231, 1005, 1055, 2197, 2270, 2265, 1007, 1012, 2011, 1996, 2051, 1997, 1996, 2040, 1005, 1055, 8468, 1030, 1011, 1030, 2069, 2265, 2012, 1996, 11382, 20850, 14287, 11721, 2819, 12162, 1999, 2285, 3355, 2005, 1996, 4268, 2024, 10303, 1010, 4231, 2001, 19397, 2058, 11179, 1998, 2018, 7669, 22663, 1037, 5024, 2836, 1012, 2044, 3405, 2040, 2024, 2017, 1010, 4865, 22342, 4188, 2000, 3582, 1996, 2201, 2007, 1037, 2778, 2127, 4231, 3030, 5948, 1010, 1998, 2056, 2008, 2065, 4231, 1005, 1055, 2652, 2106, 2025, 5335, 2002, 2052, 2022, 5045, 1012, 17488, 7913, 2100, 2101, 6380, 8701, 2000, 2543, 2032, 1010, 2021, 2056, 2008, 2011, 2023, 2051, 1996, 7101, 2001, 2041, 1997, 2491, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3361, 3471, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00006052984971240531, 0.04203524541445854, 0.06121351482644398, 0.006264928970849116, 0.035211502314714475, 0.000006257309663911755, 0.061489845670766714, 0.014883675302098722, 0.19012189397551554, 0.08856193054445739, 0.011485048813447245, 0.00006236026966703896, 0.007973330195516107, 0.00018280188172861751, 0.025207032004377263, 0.02762028909130379, 0.025832808587317492, 0.00013520520615763174, 0.00126775265751506, 0.0010283537219433158, 0.000025270070469109948, 0.000030842832974501136, 0.0012108575953470424, 0.005437326271189666, 0.027407311291097032, 0.003118148117580044, 0.0016181561543470696, 0.007467677545086585, 0.0019973597826806865, 0.014104740091495972, 0.011710419440751116, 0.017434515422606277, 0.02994637621292992, 0.027160507324928973, 0.043564978275836407, 0.0024805446658252603, 0.00140700089737584, 0.0000863264164435158, 0.00004151395364416806, 0.0005688508016427837, 0.05405894386408586, 0.0430216053344531, 0.0008263457718929772, 0.0204961554840562, 0.000002448128699782167, 0.008442238472184713, 0.0325887387293132, 0.014610221178390418, 0.028441959901175803, 0.00004831336384154983 ]
[ 101, 2138, 1996, 2040, 1005, 1055, 2220, 2754, 2552, 13538, 2006, 21105, 5693, 1010, 1998, 11427, 2000, 4231, 1005, 1055, 12024, 2005, 15011, 9275, 1010, 1996, 2177, 2020, 1999, 7016, 2005, 2172, 1997, 1996, 4120, 1025, 4372, 2102, 9148, 22516, 4358, 2027, 2439, 2055, 1069, 5018, 1030, 1010, 1030, 2199, 1012, 2130, 2043, 1996, 2177, 2150, 4659, 13732, 6540, 2044, 6838, 1010, 4231, 2506, 2000, 14513, 2039, 13930, 1012, 2002, 4149, 1037, 2193, 1997, 3765, 1998, 11721, 28682, 1010, 1998, 27978, 2098, 2007, 10528, 1012, 4231, 1005, 1055, 18555, 2791, 2007, 2769, 4359, 2010, 5618, 2013, 1996, 2177, 1005, 1055, 3339, 2866, 2778, 2000, 1069, 4700, 1030, 1012, 1030, 3486, 1012, 102, 101, 102, 101, 1027, 1027, 3167, 2166, 1998, 6550, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 4182, 13701, 1027, 1027, 1027, 102, 101, 102, 101, 2077, 1996, 2687, 2713, 1997, 4116, 10589, 1005, 1055, 6203, 2879, 1024, 1996, 2166, 1997, 6766, 4231, 1010, 4231, 1005, 1055, 3058, 1997, 4182, 2001, 14609, 2000, 2022, 2603, 2257, 4006, 1012, 2023, 9413, 20793, 3560, 3058, 2596, 1999, 2195, 4728, 1030, 1011, 1030, 10539, 4216, 1010, 2164, 1996, 4865, 22342, 1030, 1011, 1030, 19256, 8308, 2077, 1045, 2131, 2214, 1024, 1996, 2466, 1997, 1996, 2040, 1012, 1996, 16542, 3058, 2018, 2042, 8127, 2011, 4231, 1999, 7636, 2077, 2009, 2001, 13371, 2011, 10589, 2000, 3918, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5035, 14884, 10762, 1027, 1027, 1027, 102, 101, 102, 101, 4231, 1005, 1055, 2034, 3809, 3276, 2001, 2007, 5035, 14884, 10762, 1010, 3183, 2002, 2318, 5306, 1999, 2254, 3551, 2044, 2016, 2387, 1996, 2040, 2377, 2012, 1996, 5860, 1037, 2175, 2175, 1999, 22882, 1012, 2011, 1996, 2203, 1997, 1996, 2095, 1010, 2016, 3603, 2016, 2001, 6875, 1025, 2014, 3008, 1010, 2040, 2020, 9943, 1010, 2777, 2007, 1996, 23377, 2000, 6848, 2037, 7047, 1998, 2016, 2333, 2046, 1996, 4231, 2155, 2188, 1999, 16538, 1012, 2027, 2020, 2496, 2006, 2459, 2233, 3547, 2012, 12895, 15584, 2436, 1010, 1998, 2037, 2684, 8282, 2001, 2141, 2006, 2260, 2251, 1012, 1996, 3510, 1006, 1998, 2775, 1007, 2020, 2921, 3595, 2013, 1996, 2811, 2127, 2089, 3380, 1012, 4231, 2001, 5681, 6355, 2875, 5035, 1024, 1000, 2065, 2057, 2253, 2041, 2044, 1045, 2018, 18193, 1010, 1000, 2016, 2101, 2056, 1010, 1000, 2065, 2619, 5720, 2000, 2033, 1010, 2002, 1005, 1040, 4558, 2009, 1012, 2057, 1005, 1040, 2175, 2188, 1998, 2002, 1005, 1040, 2707, 1037, 2954, 2007, 2033, 1012, 1000, 2002, 3866, 8282, 1010, 2021, 2010, 6438, 2015, 2349, 2000, 6828, 1998, 13545, 2791, 2005, 6742, 13198, 2081, 2037, 3276, 15491, 2043, 2016, 2001, 2200, 2402, 1012, 1000, 2002, 2018, 2053, 2801, 2129, 2000, 2022, 1037, 2269, 1010, 1000, 5035, 2056, 1012, 1000, 2002, 2001, 2205, 2172, 1997, 1037, 2775, 2370, 1012, 1000, 102, 101, 2013, 3411, 2000, 3339, 4231, 3079, 10225, 1010, 1037, 2188, 1999, 24188, 3215, 3240, 2073, 2002, 3322, 2973, 2007, 2010, 2564, 1998, 2684, 1012, 1996, 23377, 21474, 27856, 2135, 2012, 2188, 1010, 1998, 3079, 1037, 2193, 1997, 3765, 1012, 2990, 23680, 18083, 8649, 2232, 1010, 2059, 2551, 2005, 2650, 2636, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00024028868714457503, 0.00026522878279590346, 0.03719739009729803, 0.0021033313545863364, 0.11562495013318133, 0.0760628639968472, 0.00033640811684470704, 0.00010596638169362357, 0.02200299704058176, 0.07567785150902985, 0.0010685516574084875, 0.07999534979491538, 0.013764518918185545, 0.08001448971634643, 0.02988260918782999, 0.000052725245712849455, 0.0003222003037358414, 0.0003656826004773798, 0.00005178197590360664, 0.0032788047647965422, 0.004113308991554121, 0.005844023571774028, 7.133726893897241e-7, 0.007846624486980452, 0.00002584996411513467, 0.00007891668607361512, 0.021231679180242005, 0.000019903118930316762, 0.0047774377565101, 0.0292508448891967, 0.05690966314784001, 0.00031476525055335915, 0.00015347835530849484, 0.00007155321575148102, 0.04290642055157267, 0.00006838507736632044, 0.0000033956462867861462, 0.037198488451631276, 0.006552464028106782, 0.0005854605736830767, 0.008347314198341154, 0.030350417649665274, 0.0247539025700155, 0.000023471029535647283, 0.16559272174178397, 0.00009113917811620188, 0.012210178607490511, 0.002214006350647527, 0.000018942132144931932, 0.00003053996077782821 ]
[ 1996, 2040, 1005, 1055, 3830, 1007, 1010, 17722, 4231, 13063, 2032, 2000, 5309, 1037, 6501, 14257, 2000, 3573, 1999, 1996, 7381, 2012, 10225, 1012, 102, 101, 1999, 3381, 5035, 1010, 6427, 2008, 4445, 2016, 4496, 3087, 2842, 2071, 8777, 6766, 1005, 1055, 9164, 1010, 2187, 2014, 3129, 1998, 2165, 8282, 1025, 2016, 12923, 2005, 8179, 1999, 3339, 1998, 2101, 2496, 5344, 9019, 2447, 4775, 11338, 17802, 2319, 1012, 9409, 7164, 2008, 4231, 2196, 5621, 6757, 2013, 1996, 3279, 1997, 2010, 2155, 1012, 7055, 10217, 1025, 2750, 2010, 3276, 2007, 22521, 4787, 1030, 1011, 1030, 27327, 1010, 2002, 7164, 2008, 5035, 2001, 1996, 2069, 2450, 4231, 3866, 1012, 11338, 17802, 2319, 7034, 2008, 4231, 1000, 2481, 1005, 1056, 5047, 2009, 1012, 1000, 4231, 2052, 18820, 4757, 2068, 2007, 3042, 4455, 1010, 1998, 2006, 2028, 6686, 2077, 5035, 12923, 2005, 8179, 1010, 2002, 4778, 11338, 17802, 2319, 2005, 1037, 4392, 2012, 1037, 6713, 9047, 1998, 2741, 2195, 1000, 2002, 18891, 2229, 1000, 2000, 3338, 2046, 11338, 17802, 2319, 1005, 1055, 2188, 2006, 20537, 2346, 1998, 2298, 2005, 5035, 1010, 6932, 2014, 2000, 5342, 1999, 1037, 3328, 1030, 1011, 1030, 1999, 9346, 1012, 2016, 2351, 1999, 1037, 2482, 4926, 1999, 5899, 1010, 3146, 2006, 1016, 2257, 2294, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 22521, 4787, 1030, 1011, 1030, 27327, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 3339, 4231, 2211, 1037, 3276, 2007, 4467, 2944, 22521, 4787, 1030, 1011, 1030, 27327, 1010, 2040, 2101, 2056, 2008, 4231, 2001, 1000, 2061, 4086, 2043, 2002, 2001, 17358, 1010, 2008, 1045, 2001, 2074, 2542, 2007, 2032, 1999, 1996, 3246, 2008, 2002, 2052, 5926, 2035, 2023, 13675, 16103, 2791, 1012, 1000, 2016, 12999, 29047, 20065, 6554, 5292, 25494, 2000, 4638, 4231, 2046, 1037, 9349, 2000, 4318, 2041, 1006, 2004, 2002, 2018, 4692, 2000, 2079, 2077, 1007, 1010, 2021, 2043, 7435, 2680, 4231, 1005, 1055, 5072, 13822, 2012, 6350, 1516, 1037, 5835, 1997, 12327, 1010, 2522, 3126, 6767, 17417, 2121, 1998, 23713, 27065, 19915, 2015, 1516, 2027, 5531, 2008, 2045, 2001, 2053, 3246, 2005, 2010, 11252, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2814, 1027, 1027, 1027, 102, 101, 102, 101, 4231, 5632, 2108, 1996, 2166, 1997, 1996, 2283, 1012, 3021, 13730, 4509, 3051, 4622, 2008, 1000, 2002, 2876, 1005, 1056, 3328, 2046, 2151, 2282, 1998, 2074, 4952, 1012, 2002, 2001, 2019, 3086, 29444, 1998, 2002, 2018, 2000, 2031, 2009, 1012, 1000, 102, 101, 2220, 1999, 1996, 2040, 1005, 1055, 2476, 1010, 4231, 2288, 2000, 2113, 1996, 11555, 1012, 2002, 2052, 3693, 2068, 2012, 4184, 1010, 5716, 1037, 3391, 2485, 6860, 2007, 25589, 14330, 1012, 4231, 2101, 2150, 2814, 2007, 14753, 6844, 3899, 20160, 1030, 1011, 1030, 4830, 2232, 2316, 2372, 13801, 9761, 7377, 3363, 1998, 1000, 3456, 1000, 6554, 3044, 1010, 1998, 1996, 7146, 2052, 4392, 1998, 2377, 6742, 13198, 2362, 1012, 3044, 17749, 2028, 6686, 2073, 2002, 1998, 4231, 9538, 4237, 1037, 3940, 1997, 15292, 1010, 2007, 2019, 16222, 25377, 13231, 2101, 2559, 2005, 2028, 1030, 1011, 1030, 15817, 15292, 1012, 1999, 1996, 2220, 3955, 4231, 3271, 9761, 7377, 3363, 2007, 2010, 1000, 2557, 16121 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.007489283389824362, 0.0007123240471500013, 0.0023229177838827845, 0.051592291084785157, 0.0031801633179797642, 0.15057563748324004, 0.030204227335931436, 0.005629992586794802, 0.046027627891917666, 0.00015573986729254646, 0.04914223259810272, 0.0580032564808475, 0.05369574106309931, 0.05720414519110418, 0.014707049293866844, 0.000008918331657270898, 0.00014078966730671826, 0.008128553820488094, 0.013329904977638057, 0.011357282329026873, 0.0258406026988381, 0.00115682042963639, 0.005253664603113721, 0.04324542286478197, 0.008063543369862489, 0.0000019068653186080319, 9.885775148864802e-7, 0.0007360831080340745, 0.003919073185331726, 0.05168583784935487, 0.09940968110377671, 0.0001702027922406897, 0.00008883961101815672, 0.000012978458018626068, 0.0008112019027404424, 9.23245095722154e-9, 0.0012309445493027872, 0.06179124640620594, 0.0002051873749225438, 0.0019505006912981754, 0.000006162895503097817, 0.022801337269666697, 0.015078424416875865, 9.23245095722154e-9, 0.0579361362789741, 0.0000031106321110131566, 0.000043503866585585815, 0.0000020709757215789454, 0.03293469011167236, 0.0020117401047408064 ]
[ 1000, 2557, 2265, 2005, 4035, 2557, 1015, 1010, 8110, 1999, 2005, 1996, 10885, 2075, 2198, 14113, 1006, 2156, 6315, 25051, 2203, 2557, 16121, 1007, 1012, 3525, 1010, 1999, 3381, 1010, 4231, 2370, 3561, 1999, 2005, 2198, 14113, 1999, 1000, 1037, 3543, 1997, 1996, 4231, 1010, 1000, 1037, 2186, 1997, 2176, 8497, 2550, 2011, 2198, 19097, 1012, 102, 101, 5990, 3533, 11019, 5632, 2591, 9355, 2007, 4231, 1012, 1999, 2019, 4357, 2007, 2858, 2088, 2932, 1010, 2002, 7383, 2008, 1996, 7101, 1000, 4036, 2033, 2129, 2000, 3338, 2477, 1012, 1000, 1999, 3326, 1010, 4231, 4930, 2039, 1037, 6860, 2007, 3364, 6291, 7305, 2096, 2551, 2006, 1996, 2143, 2544, 1997, 6838, 1012, 2348, 7305, 10349, 4231, 4392, 2005, 4392, 1010, 2002, 2596, 2006, 2275, 1996, 2279, 2851, 3201, 2000, 4685, 1025, 4231, 1010, 2006, 1996, 2060, 2192, 1010, 2052, 3465, 2195, 2847, 1997, 7467, 2051, 1012, 7305, 2101, 2056, 2008, 4231, 1000, 3662, 2033, 1996, 2126, 2000, 19272, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 8788, 2389, 7055, 1027, 1027, 1027, 102, 101, 102, 101, 2848, 1000, 8788, 2389, 1000, 7055, 2211, 2551, 2005, 1996, 2040, 1999, 3476, 1010, 3352, 4231, 1005, 1055, 3167, 3353, 1996, 2206, 2095, 2000, 2393, 2032, 2994, 2041, 1997, 4390, 1012, 2002, 17749, 10489, 8934, 12838, 1998, 3782, 11359, 3038, 1010, 1000, 2057, 3404, 2017, 2007, 6766, 2021, 2065, 2017, 2412, 2215, 2151, 2051, 2125, 1010, 2005, 1037, 6209, 2030, 2070, 4066, 1997, 2717, 1010, 2292, 2149, 2113, 1998, 2057, 1005, 2222, 3477, 2005, 2009, 1012, 1000, 7055, 2196, 2165, 2068, 2039, 2006, 1996, 3749, 1012, 102, 101, 2002, 2628, 4231, 2043, 1996, 7101, 7448, 2000, 3050, 3349, 1010, 2021, 2371, 2008, 1996, 4319, 3226, 15157, 2012, 1996, 2051, 2001, 2919, 2005, 4231, 1024, 1000, 2026, 3105, 2001, 2000, 2031, 2159, 1999, 1996, 2067, 1997, 2026, 2132, 1012, 1000, 4865, 22342, 3530, 1010, 3038, 2008, 2011, 3339, 7055, 2018, 1000, 2053, 3747, 2058, 2032, 18971, 1012, 1000, 2348, 2002, 2001, 1037, 8884, 7452, 2000, 4231, 1010, 1996, 9580, 2776, 2150, 2205, 2172, 2005, 2032, 1025, 2002, 3042, 2094, 13730, 4509, 3051, 1010, 3038, 2008, 2027, 2734, 2000, 2693, 2067, 2000, 2563, 2030, 2028, 1997, 2068, 2453, 3280, 1012, 7055, 8046, 1999, 3301, 1010, 1998, 2101, 2626, 1997, 2010, 6322, 1999, 1037, 2338, 4709, 2440, 4231, 1024, 1996, 6429, 2600, 1998, 4897, 2166, 1997, 6766, 4231, 1006, 2262, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 6606, 8945, 3122, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 1018, 2254, 3359, 4231, 9554, 2730, 2010, 2767, 1010, 4062, 1998, 16174, 1010, 6606, 8945, 3122, 1010, 2648, 1996, 2417, 7006, 9047, 1999, 26853, 1010, 18889, 1012, 9047, 13497, 2018, 5625, 2000, 2886, 2010, 15988, 1998, 4231, 1010, 7144, 1010, 2211, 4439, 2000, 4019, 2068, 1012, 2076, 1996, 25312, 15671, 1010, 2002, 2718, 8945, 3122, 1012, 2044, 2019, 4812, 1010, 1996, 22896, 5451, 8945, 3122, 1005, 1055, 2331, 2019, 4926, 1998, 4231, 2363, 2019, 7619, 11889, 2044, 2108, 5338, 2007, 1037, 2193, 1997, 18421, 1012, 102, 101, 2216, 2485, 2000, 4231, 2056, 2008, 2002, 2001, 11171, 2011, 8945, 3122, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00995386023904524, 0.0069467329606211995, 0.00014633032848976186, 0.0015660237100148006, 0.026754994883385473, 0.028286509162003447, 0.0025214350814342086, 0.03346916463268465, 0.00013370690384964615, 0.07515035693289275, 0.014835798579257002, 0.03904316944968442, 0.09710802872090317, 0.00012522092663583894, 0.00020258376299274537, 0.0016738373015989369, 0.0022091684647797503, 0.06718819449877764, 0.0015459548544442669, 0.0008764821199281425, 0.002882773779158291, 0.00006969418611193655, 0.017599005655346004, 0.015282557173832393, 0.04652394676789666, 0.02094135021692376, 6.148031408280631e-7, 0.0035733124851482405, 0.00042573742193476976, 0.12865283054074558, 0.12491190284306644, 0.005431761889808658, 0.0035483197876938393, 0.0244380281521813, 0.00014241311388238172, 0.00022894861125516698, 0.08468660007803991, 0.0005065608773936434, 0.000747770460664306, 0.002369817733361524, 0.001404495167589729, 0.0018751858696022664, 0.0002908471563605825, 0.01292835927348427, 0.015238408678726915, 0.01739093909602249, 0.014463808136078985, 0.016102142812780613, 0.00025349812827463284, 0.027350815590070913 ]
[ 1055, 2331, 2005, 1996, 2717, 1997, 2010, 2166, 1012, 2429, 2000, 17217, 4078, 23189, 2015, 1010, 4231, 2018, 15446, 1006, 2029, 8271, 2068, 2119, 1007, 2055, 1996, 5043, 1998, 2056, 2002, 2018, 2053, 2157, 2000, 2022, 4142, 1012, 102, 101, 102, 101, 1027, 1027, 2331, 1027, 1027, 102, 101, 102, 101, 1999, 3054, 1030, 1011, 1030, 3301, 4231, 2333, 2046, 1037, 4257, 1999, 12731, 15378, 2239, 2173, 1006, 2101, 12731, 15378, 2239, 2675, 1007, 1010, 11133, 3006, 1010, 28387, 1010, 2414, 1010, 9278, 2075, 2013, 4302, 29376, 1012, 16220, 11759, 2018, 2351, 2045, 2176, 2086, 3041, 1010, 2012, 1996, 2287, 1997, 3590, 1025, 29376, 2001, 4986, 2055, 5599, 1996, 4257, 2000, 4231, 1010, 8929, 2009, 2001, 10678, 1012, 4865, 22342, 18335, 1010, 4632, 12228, 2032, 2008, 1000, 7407, 2876, 1005, 1056, 4894, 1996, 2168, 2173, 3807, 1000, 1012, 102, 101, 2044, 3048, 1999, 1010, 4231, 2211, 1037, 16250, 2607, 1997, 19610, 3170, 19716, 2378, 1006, 18856, 8462, 15222, 10936, 9890, 1010, 1037, 7367, 2850, 6024, 1007, 2000, 24251, 2010, 6544, 10534, 8030, 1012, 2002, 2359, 2000, 2131, 17358, 1010, 2021, 2349, 2000, 2010, 3571, 1997, 13691, 8323, 2002, 2359, 2000, 2079, 2009, 2012, 2188, 1012, 18856, 8462, 15222, 10936, 9890, 2003, 22585, 2005, 4895, 6342, 4842, 11365, 2098, 20010, 11636, 9031, 2138, 1997, 2049, 26855, 3512, 4022, 1010, 2049, 11765, 2000, 19653, 13986, 1010, 1998, 2049, 3891, 1997, 2331, 2043, 3816, 2007, 6544, 1012, 1996, 15345, 2020, 16250, 2011, 11023, 1040, 24335, 15422, 1010, 1037, 7522, 2040, 2001, 11499, 1997, 4231, 1005, 1055, 9580, 1012, 1040, 24335, 15422, 16250, 1037, 5835, 1997, 2531, 15345, 1010, 16021, 26310, 2032, 2000, 2202, 2028, 17357, 2043, 2002, 2371, 1037, 26369, 2005, 6544, 2021, 2025, 2062, 2084, 2093, 15345, 2566, 2154, 1012, 102, 101, 2011, 2244, 3301, 4231, 2001, 2383, 7669, 2652, 1996, 3846, 1010, 2429, 2000, 2346, 2666, 4913, 1000, 22330, 1000, 11374, 7106, 1012, 2044, 3773, 4231, 1999, 1996, 2996, 2667, 2000, 2058, 8566, 2497, 3846, 2005, 1996, 4268, 2024, 10303, 1010, 2002, 2056, 1010, 1000, 2044, 2048, 2030, 2093, 2847, 1010, 2002, 2288, 2062, 1998, 2062, 23667, 17701, 2232, 1010, 2002, 2071, 4510, 2907, 1037, 6943, 6293, 1012, 1000, 102, 101, 2006, 1020, 2244, 4231, 1998, 4787, 1030, 1011, 1030, 27327, 2020, 6368, 1997, 2703, 1998, 8507, 15320, 2012, 1037, 19236, 1997, 1996, 2143, 1010, 1996, 8937, 9079, 2466, 1012, 2044, 7759, 2007, 1996, 15320, 2015, 2012, 11565, 10020, 2102, 2380, 1999, 29456, 3871, 1010, 4231, 1998, 4787, 1030, 1011, 1030, 27327, 2513, 2000, 2037, 4257, 1012, 2002, 3427, 1037, 2143, 1006, 1996, 11113, 20936, 22966, 2852, 1012, 13569, 12681, 1007, 1010, 1998, 2356, 4787, 1030, 1011, 1030, 27327, 2000, 5660, 2032, 21475, 1998, 6763, 1012, 2043, 2016, 15959, 1010, 4231, 3880, 1000, 2065, 2017, 2123, 1005, 1056, 2066, 2009, 1010, 2017, 2064, 6616, 2125, 999, 1000, 2122, 2020, 2010, 2197, 2616, 1012, 4231, 2059, 2165, 3590, 18856, 8462, 15222, 10936, 9890, 17596, 1012, 2043, 4787, 1030, 1011, 1030, 27327, 7039, 2006, 2032, 1996, 2206, 5027, 1010, 2016, 3603, 2002, 2001, 2757, 1012, 102, 101, 13730, 4509, 3051, 3042, 2094, 1996, 4257, 2012 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 7.988688017767725e-9, 0.0007881268878869485, 0.052556468018510105, 0.00009172565506907396, 0.0000032097324227407384, 0.033866424482645034, 7.988688017767725e-9, 0.000271896468588875, 0.03334288653314515, 0.001089013154457987, 0.04937525140924032, 0.001651652057592198, 0.008191221554708106, 0.058427681786091756, 0.031113777691526043, 7.988688017767725e-9, 0.0001834468541986647, 0.05722761299893469, 0.0000015340043128077313, 0.00011091724270104301, 7.988688017767725e-9, 0.0013107490210100153, 0.017516191232724698, 0.000025915478292430454, 0.03766053258654415, 0.00017097306334603454, 0.0022927138279366464, 0.07276087601683986, 0.00199378692311546, 0.027967370085509966, 0.00031721653537121225, 0.13206847945574438, 0.008489584253553437, 0.026466056136293565, 0.033605593183468035, 0.00012500388677590224, 7.988688017767725e-9, 7.988688017767725e-9, 0.00009109897029961408, 0.0000027207098125329557, 0.050507683062877104, 0.055205161538975846, 0.0077033070406207025, 0.00003873968288723124, 0.000008200569157108243, 0.017290644939567584, 0.04769093486216415, 0.0022079129444129695, 0.061407331138076296, 0.06678232839046355 ]
[ 2105, 1019, 7610, 2559, 2005, 4231, 1010, 1998, 1040, 24335, 15422, 2435, 2032, 1996, 2739, 1012, 13730, 4509, 3051, 2409, 4865, 22342, 1010, 2040, 6727, 1996, 2717, 1997, 1996, 2316, 1012, 4372, 2102, 9148, 22516, 2001, 3228, 2019, 4357, 2000, 2413, 8845, 2043, 2002, 2001, 7153, 2011, 1037, 3042, 2655, 2007, 1996, 2739, 1997, 4231, 1005, 1055, 2331, 1012, 2667, 2000, 11937, 6593, 7699, 1998, 2855, 2203, 1996, 4357, 1010, 2002, 3631, 2091, 1998, 24966, 2043, 1996, 4988, 2356, 2032, 2055, 1996, 2040, 1005, 1055, 2925, 3488, 1012, 102, 101, 4231, 1005, 1055, 2331, 2234, 3859, 2044, 1996, 2713, 1997, 2040, 2024, 2017, 1012, 2006, 1996, 2201, 3104, 1010, 2002, 2003, 2358, 12173, 14423, 1037, 3242, 2000, 5342, 2010, 3635, 5114, 1025, 1996, 2616, 1000, 2025, 2000, 2022, 2579, 2185, 1000, 2024, 2006, 1996, 2067, 1997, 1996, 3242, 1012, 102, 101, 2610, 4340, 2008, 2045, 2020, 3590, 18856, 8462, 15222, 10936, 9890, 15345, 1999, 4231, 1005, 1055, 2291, 1012, 2416, 2020, 17886, 2098, 1010, 7182, 2000, 3426, 2010, 2331, 1025, 1996, 2060, 2656, 2020, 6151, 25538, 14701, 2043, 2002, 2351, 1012, 4098, 1043, 20051, 2102, 1010, 2019, 3691, 2006, 25519, 1010, 2626, 1999, 1996, 4465, 2335, 2008, 4231, 2323, 2196, 2031, 2042, 2445, 1996, 4319, 1012, 4231, 2001, 28376, 2006, 2410, 2244, 3301, 2012, 2751, 2545, 2665, 13675, 14545, 24390, 1999, 2414, 1010, 1998, 2010, 11289, 2020, 7932, 1999, 2049, 5822, 1997, 19451, 1012, 102, 101, 4865, 22342, 6427, 17488, 7913, 2100, 1998, 4372, 2102, 9148, 22516, 2000, 4287, 2006, 6828, 2004, 1996, 2040, 1010, 2348, 2002, 2101, 2056, 2008, 2009, 2001, 2010, 2965, 1997, 27520, 2007, 4231, 1005, 1055, 2331, 1998, 1000, 3294, 23179, 1010, 18299, 2006, 9577, 1000, 1012, 10477, 1005, 1055, 5503, 3968, 2121, 2056, 1010, 1000, 2043, 6766, 4231, 2351, 1010, 1996, 2040, 3344, 2006, 1998, 2020, 2521, 2062, 17824, 1998, 10539, 21385, 1010, 2021, 2008, 2347, 1005, 1056, 2054, 2853, 2600, 2636, 1012, 1000, 1999, 2281, 3301, 1010, 5344, 7101, 6358, 5420, 3557, 2587, 1996, 2040, 1012, 4865, 22342, 2101, 2056, 2008, 3557, 1000, 2001, 2028, 1997, 1996, 2261, 2329, 7101, 2015, 2040, 2071, 6039, 6766, 1005, 1055, 6007, 1000, 1025, 17488, 7913, 2100, 2001, 2625, 14727, 1010, 3038, 2008, 3557, 1000, 2347, 1005, 1056, 1996, 2157, 2806, 1000, 1012, 20173, 2198, 1000, 10442, 1000, 21122, 24092, 1010, 2040, 2018, 2128, 26560, 6924, 2007, 4231, 3041, 1999, 1996, 2095, 1010, 2587, 1996, 2444, 2316, 2004, 2019, 11982, 2266, 1012, 102, 101, 3557, 2187, 1996, 2040, 1999, 2997, 1010, 1998, 7101, 4079, 8109, 1006, 2040, 5868, 4231, 1005, 1055, 3754, 2000, 6943, 2058, 1996, 5150, 2650, 1997, 1000, 14208, 1051, 1005, 7546, 1000, 1007, 7255, 2007, 1996, 2316, 1996, 2206, 2095, 1012, 2144, 2807, 1010, 1996, 2040, 1005, 1055, 7101, 2038, 2042, 25589, 14330, 1005, 1055, 2365, 23564, 2243, 9762, 3240, 1010, 2040, 2018, 2042, 2445, 1037, 6943, 8934, 2011, 4231, 1006, 3183, 2002, 2170, 1000, 4470, 6766, 1000, 1007, 1012, 102, 101, 1996, 2414, 2262, 2621, 4386, 2837, 11925, 13730, 4509, 3051, 2055, 4231, 4488, 2012, 1996, 2399, 1010, 4090, 2086, 2044, 2010, 2331, 1012, 1999, 2019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00001017157005791565, 9.53491997580143e-9, 0.00032053363904495873, 0.000012009607483091449, 0.02058133264328277, 0.01171871943089202, 0.000014698304127705577, 0.00000354212661591837, 0.0002885900148334503, 0.0002572312198492242, 0.001983374647900791, 0.0001209584743079492, 0.03712554893780789, 0.00008620293700093912, 0.16048234882675752, 0.022689472075270552, 0.00006641223347941687, 0.0000065872806927759434, 0.0001867831100009032, 0.009339104857599046, 0.00000912418215353354, 0.000513146184949721, 0.0001456318571086123, 0.003654108426377455, 0.00698757852843862, 0.00928105488232321, 0.0032810983766828963, 0.00003083255658587005, 0.028046818196236632, 0.00036430801285912065, 0.060955004020528336, 0.14060120829409462, 0.004375080720364871, 0.0034058464165793306, 0.11412645996316753, 0.11587994038761863, 0.0021991736754978083, 0.0009476995072678682, 0.002574874456022862, 0.024322610613091312, 0.00002595357402039108, 0.05895822540199408, 0.007523178344683859, 0.002456950817135258, 0.000009589447764406669, 0.02866064990311221, 0.040055354170070605, 0.029238211286787753, 0.007084582715775458, 0.038992073608782256 ]
[ 4357, 2007, 1996, 2335, 13730, 4509, 3051, 21864, 11469, 1010, 1000, 1045, 10373, 2098, 2067, 3038, 6766, 2085, 11665, 1999, 2751, 2545, 2665, 13675, 14545, 24390, 1010, 2383, 2973, 2039, 2000, 1996, 2040, 1005, 1055, 11971, 2594, 2240, 1005, 1045, 3246, 1045, 3280, 2077, 1045, 2131, 2214, 1005, 1012, 1012, 1012, 2065, 2027, 2031, 1037, 2461, 2795, 1010, 2070, 7877, 1998, 14006, 1010, 2057, 2453, 3967, 2032, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 8027, 1027, 1027, 102, 101, 102, 101, 4231, 1005, 1055, 22980, 2038, 2042, 5868, 2011, 4401, 1012, 3166, 4172, 6925, 15088, 3211, 2649, 2032, 2004, 1000, 1996, 4602, 7101, 1999, 2600, 1010, 1000, 5815, 2008, 1000, 2002, 2001, 2000, 1996, 3846, 2054, 27624, 20645, 2001, 2000, 1996, 2858, 1012, 1000, 9079, 2577, 1030, 1011, 1030, 6031, 1010, 3559, 1998, 3166, 1997, 1996, 2600, 1998, 4897, 2534, 1997, 4476, 1024, 1996, 2034, 2423, 2086, 1010, 2056, 1024, 1000, 2007, 1996, 2331, 1997, 6766, 4231, 1999, 3301, 1010, 2600, 15835, 2439, 2049, 2309, 4602, 7101, 1012, 1000, 2429, 2000, 3968, 2121, 1010, 1000, 4231, 1010, 2007, 2010, 23624, 2278, 1010, 26594, 2217, 1010, 1998, 2010, 2166, 1997, 11664, 5948, 1010, 2283, 2075, 1010, 1998, 2060, 27427, 5313, 17905, 2015, 1010, 2763, 3421, 1996, 22446, 1010, 23564, 4890, 2217, 1997, 2600, 1004, 4897, 1010, 2004, 2092, 2004, 2049, 2969, 1030, 1011, 1030, 15615, 2217, 1010, 2488, 2084, 3087, 2842, 2006, 1996, 4774, 1012, 1000, 1996, 2047, 2338, 1997, 2600, 7201, 4396, 4231, 2053, 1012, 1015, 2006, 2049, 2862, 1997, 1000, 2753, 4602, 2600, 1005, 1050, 1005, 4897, 7101, 2015, 1010, 1000, 1998, 2002, 2001, 4396, 2053, 1012, 1016, 2006, 1996, 2249, 5291, 2962, 1000, 2190, 7101, 2015, 1997, 2035, 2051, 1000, 8141, 1005, 8554, 1012, 1999, 2355, 1010, 1996, 2168, 2932, 4396, 2032, 2053, 1012, 1016, 1999, 2037, 2862, 1997, 1996, 2531, 4602, 7101, 2015, 1997, 2035, 2051, 1010, 2369, 2198, 14753, 3511, 1012, 4205, 13007, 11253, 5874, 1010, 3559, 1997, 7101, 2932, 1010, 2056, 2008, 4231, 1005, 1055, 4616, 2006, 2040, 1005, 1055, 2279, 1998, 17718, 18981, 10222, 2401, 1000, 5050, 1037, 3819, 5703, 1997, 6028, 1998, 6896, 1000, 1998, 1000, 2045, 1005, 1055, 2042, 2053, 7101, 2040, 1005, 1055, 5028, 2010, 4310, 27474, 2006, 2600, 1998, 6348, 2144, 1012, 1000, 102, 101, 2195, 2600, 7101, 2015, 1010, 2164, 6606, 28253, 2102, 1998, 4913, 24665, 11631, 2140, 1010, 2031, 6563, 4231, 2004, 2019, 3747, 1012, 1996, 9389, 3825, 14822, 2000, 4231, 2006, 1996, 2117, 2309, 2013, 2037, 2353, 2201, 1010, 1000, 2091, 1999, 1996, 7270, 2276, 2012, 7090, 1000, 1025, 1996, 1038, 1030, 1011, 1030, 2217, 1997, 1996, 2309, 2003, 1037, 2040, 3104, 1006, 1000, 2061, 6517, 2055, 2149, 1000, 1007, 1010, 1998, 1996, 2067, 3104, 1997, 1996, 2501, 2038, 1037, 6302, 1997, 4231, 1005, 1055, 2227, 1012, 1996, 9389, 1005, 1055, 2309, 2001, 2207, 2055, 1037, 3204, 2044, 4231, 1005, 1055, 2331, 1012, 4111, 1010, 2028, 1997, 13997, 11510, 3958, 27227, 1005, 1055, 14163, 29519, 3494, 1010, 2089, 2031, 2042, 2241, 2006, 6766, 4231, 2349, 2000, 2037, 2714, 2606, 1010, 8407, 1010, 6180, 1998, 22980, 2806, 1012, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0.042090216505496755, 0.03844256982751434, 0.00469146260816218, 0.005266601533050776, 0.13298598195938913, 0.0005028208153761061, 0.0000022762387983456558, 0.004286652752093893, 0.000008031735432266092, 0.0009122886090589745, 0.0014773817268528965, 0.09492037555365022, 0.0006421463832927233, 0.10097449640993553, 0.00035660950462191503, 0.002947276165216296, 0.09453728812003986, 0.008467072831614351, 0.00008040298875413913, 0.000011368869537685167, 0.00007795761215119624, 0.00580597690507323, 0.0408407827185311, 0.000029706324323353333, 0.0021142132247294666, 0.0020221279405636017, 0.0018172048564894978, 0.01739374610601029, 0.0030898463692975307, 0.00042635799100117255, 0.04863383032409633, 0.03683732080812861, 0.05268221719436316, 0.000018980183660987387, 0.0003325519463159535, 0.0007641424074173484, 0.014642360229972258, 0.05639514714568175, 0.00005248720951696038, 0.02063033199978993, 0.015533950160476883, 0.0033934821542005444, 0.07867312569416558, 1.0645738564082677e-8, 0.0019120050352827162, 0.04877624397481991, 0.010443304451806086, 0.00030679641677762545, 0.0004779824600965604, 0.0022724883716334285 ]
[ 101, 1000, 2643, 19994, 2010, 3376, 2540, 1012, 1012, 1012, 1000, 11472, 9096, 9808, 11634, 2409, 4165, 1037, 3204, 2044, 1996, 7101, 1005, 1055, 2331, 1012, 1000, 2111, 2097, 2022, 3331, 2055, 6766, 4231, 1005, 18681, 2027, 3280, 1010, 2158, 1012, 2619, 4873, 2097, 2360, 1010, 1005, 3342, 6766, 4231, 1029, 1005, 2040, 2097, 3342, 3533, 9927, 5620, 2040, 2288, 2730, 1999, 1037, 2482, 5823, 1029, 2053, 2028, 1012, 2002, 1005, 1055, 2757, 1010, 2061, 2054, 1029, 2002, 2134, 1005, 1056, 2079, 2505, 2000, 2831, 1997, 1012, 1000, 102, 101, 18856, 6633, 9894, 1997, 8855, 2666, 2038, 2056, 1000, 2220, 2006, 2035, 1045, 8725, 2055, 2001, 6766, 4231, 1998, 1996, 2040, 1012, 2043, 1045, 2001, 2055, 5408, 2030, 4376, 1010, 2026, 8837, 2112, 1997, 6943, 8220, 2001, 1996, 2197, 2702, 2781, 1010, 2043, 1045, 1005, 1040, 2131, 2000, 4133, 2012, 1996, 3846, 3388, 1998, 2377, 2247, 2000, 2026, 8837, 2501, 1012, 1045, 1005, 1040, 3288, 1999, 1005, 2026, 4245, 1005, 1012, 2012, 1996, 2203, 1997, 1996, 2299, 1010, 1996, 3846, 2175, 12264, 1012, 1005, 2026, 4245, 1005, 2001, 1037, 3810, 2391, 2005, 2033, 2138, 2077, 2008, 2009, 2001, 2035, 1996, 4918, 11042, 1998, 25589, 2828, 1997, 2518, 1012, 1000, 102, 101, 1999, 2687, 4116, 10589, 2405, 1037, 8308, 1997, 4231, 1010, 6203, 2879, 1024, 1996, 2166, 1997, 6766, 4231, 1010, 1999, 1996, 2142, 2983, 1012, 1996, 7655, 1000, 6203, 2879, 1000, 2150, 1037, 4608, 8458, 23797, 1997, 4231, 1005, 1055, 2043, 1010, 5105, 2011, 8934, 12838, 1010, 2002, 2211, 12473, 1037, 13433, 8737, 3560, 2394, 9669, 1012, 1999, 2456, 1010, 1996, 2338, 2001, 2207, 1999, 1996, 2149, 2004, 4231, 1006, 1996, 2166, 1998, 2331, 1997, 1037, 2600, 5722, 1007, 1012, 1053, 2932, 2170, 1996, 2338, 1000, 23512, 1998, 27547, 3752, 1010, 1000, 1998, 2501, 10018, 2056, 2009, 2001, 1000, 2028, 1997, 2600, 1005, 1055, 2307, 22056, 1012, 1000, 102, 101, 1999, 2263, 1010, 2394, 4348, 6430, 2019, 4646, 2005, 4231, 2000, 2022, 3018, 1037, 2630, 11952, 1012, 4092, 2000, 1996, 6697, 1010, 5696, 25975, 2989, 2056, 2027, 1000, 2787, 2008, 2919, 9164, 1998, 2058, 12269, 2075, 2006, 2536, 13978, 2347, 1005, 1056, 1037, 7182, 8263, 1012, 1000, 1996, 2866, 1005, 1055, 4348, 3192, 18335, 2007, 1996, 3247, 1010, 10886, 1037, 11952, 2029, 2001, 11521, 2006, 1023, 2233, 2268, 1012, 17488, 7913, 2100, 1010, 4865, 22342, 1010, 5863, 21025, 10322, 1998, 4231, 1005, 1055, 2388, 8934, 2020, 2556, 2012, 1996, 5103, 1012, 102, 101, 102, 101, 1027, 1027, 12532, 12565, 1027, 1027, 102, 101, 102, 101, 3948, 4042, 102, 101, 2048, 3903, 1997, 1996, 4231, 1006, 3339, 1007, 102, 101, 102, 101, 102, 101, 1027, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 1027, 102, 101, 102, 101, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2003, 1037, 2647, 2686, 4034, 4483, 2470, 5871, 2029, 2001, 3390, 1999, 2258, 2230, 1012, 2009, 3640, 6529, 2007, 2951, 2055, 1996, 11508, 3256, 9700, 1998, 3162, 3431, 1999, 1996, 14983, 1997, 1996, 3256, 2007, 1037, 5813, 1997, 2055, 1015, 1030, 1012, 1030, 1017, 13935, 1006, 1015, 1535, 1016, 1999, 1007, 1012, 102, 101, 5390, 8820, 2102, 1030, 1011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.07648957767919536, 0.04408646528958355, 0.050470348266894574, 0.000005155872137058228, 0.03058294865465381, 0.0010039170502999383, 0.04726919536868912, 0.0028647761837397026, 0.00254444837718274, 0.021466118105546453, 0.007831750105772315, 0.002461960536282765, 0.00035837671680279755, 0.020115225730762496, 0.0017570115978235656, 0.016322488828472058, 0.11075245003538962, 0.0005278535001749892, 0.0358589181318937, 0.00015826238649836735, 0.0021123046533931076, 0.02531244059658068, 0.019616282159190073, 0.06285069510209106, 0.0016316121163783993, 0.16105418736190844, 0.0003583363172663933, 0.000571053690156369, 0.0003036143988952503, 0.01756583757279746, 0.021183360640079325, 0.02950556146870934, 0.0018149406419852665, 0.024969096858790712, 0.0013735610945607233, 0.013545962756316981, 0.0022885721669415175, 0.03838878893790768, 0.00017235458604236993, 0.003142568864884052, 0.000018695570241271395, 0.0013305455206259664, 0.021992988832593343, 0.005718826697324396, 0.000295517764702321, 0.007217031189191639, 0.000940093100562916, 0.0000317789245678778, 0.016452066439542702, 0.045314075557977486 ]
[ 1030, 1016, 2001, 2328, 2004, 1037, 6110, 2005, 5390, 8820, 2102, 1030, 1011, 1030, 1015, 1010, 3005, 20996, 23342, 6839, 7596, 2001, 4039, 2000, 6162, 8753, 1012, 4102, 2000, 2049, 8646, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2838, 4007, 18739, 1010, 3618, 6046, 3977, 1998, 2019, 7172, 6602, 7427, 1012, 2049, 2364, 6602, 2003, 2019, 6970, 7512, 28993, 7217, 2846, 1030, 1011, 1030, 2424, 2121, 2007, 5519, 26315, 1010, 2029, 5761, 1996, 4578, 4489, 2090, 8274, 3256, 1998, 2330, 2300, 1012, 102, 101, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2003, 3498, 2004, 2112, 1997, 1996, 5390, 8820, 2102, 4746, 2000, 2817, 1996, 3011, 1005, 1055, 11508, 3256, 9700, 1010, 2029, 2003, 2993, 2112, 1997, 1996, 2542, 4774, 4746, 1012, 1996, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 12076, 2001, 3833, 2011, 19413, 5104, 2004, 18886, 2819, 1010, 1998, 2001, 3390, 2011, 2003, 2278, 12849, 25855, 6494, 2015, 1010, 2478, 1037, 1040, 2638, 18098, 1030, 1011, 1030, 1015, 6839, 7596, 1010, 2006, 1022, 2258, 2230, 1012, 2006, 2570, 2255, 2230, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 4161, 6515, 2206, 2416, 2706, 1997, 2006, 1030, 1011, 1030, 8753, 5604, 1012, 102, 101, 102, 101, 1027, 1027, 4281, 1027, 1027, 102, 101, 102, 101, 1996, 3988, 6378, 2005, 1996, 5390, 8820, 2102, 4746, 2001, 7864, 2004, 2112, 1997, 1037, 2655, 2005, 10340, 1999, 2251, 2687, 2005, 3011, 10566, 6416, 2004, 2112, 1997, 1996, 2647, 2686, 4034, 1005, 1055, 2542, 4774, 4746, 1012, 2009, 2001, 3479, 2005, 2582, 2913, 1999, 2639, 1010, 1998, 2206, 6503, 1997, 1037, 24010, 2817, 1996, 3260, 2001, 19256, 1012, 1996, 2810, 4403, 2211, 1999, 2541, 1010, 1998, 1999, 2526, 19413, 5104, 2004, 18886, 2819, 2001, 3018, 1037, 3206, 2000, 3857, 1996, 12076, 1012, 1037, 3206, 2001, 2036, 2772, 2007, 9944, 19665, 2102, 1010, 2000, 6204, 1996, 4888, 1997, 1996, 5871, 2478, 1037, 20996, 23342, 1013, 7987, 10993, 1030, 1011, 1030, 2463, 6839, 7596, 1012, 102, 101, 2810, 1997, 1996, 2434, 12076, 2001, 2949, 1999, 2257, 2432, 1012, 2206, 5604, 1996, 12076, 2001, 12057, 2000, 1996, 20228, 6810, 29064, 2522, 25855, 29171, 1999, 2257, 2384, 1010, 1998, 3369, 2006, 1015, 2244, 1012, 1996, 4888, 4158, 2013, 2609, 14506, 1013, 1017, 2006, 1022, 2255, 1010, 2174, 2349, 2000, 1037, 4394, 3094, 1999, 1996, 7596, 1005, 1055, 3462, 2491, 2291, 1010, 1996, 2117, 2754, 3194, 2106, 2025, 3844, 2091, 2012, 1996, 2203, 1997, 2049, 3740, 6402, 1010, 1998, 2612, 1996, 2754, 5296, 2000, 2139, 10814, 3508, 1012, 2023, 8729, 1996, 2117, 2754, 1998, 7987, 10993, 1030, 1011, 1030, 2463, 2013, 14443, 1010, 1998, 2004, 1037, 2765, 1996, 7596, 3478, 2000, 6162, 8753, 1012, 1996, 12076, 2001, 2439, 2043, 2009, 2128, 29110, 2098, 2058, 1996, 10162, 4153, 1010, 2167, 1997, 16128, 1012, 102, 101, 2349, 2000, 1996, 5197, 1997, 1996, 5390, 8820, 2102, 3260, 2005, 4824, 3795, 12959, 1998, 25006, 1999, 11508, 3256, 9700, 1010, 1037, 6110, 5871, 2001, 3818, 1012, 1996, 2458, 1997, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 19256, 1999, 2337, 2294, 1010, 2625, 2084, 2274, 2706, 2044, 1996, 4945, 1012, 102, 101, 102, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0037536971182588865, 0.00029281322975381905, 9.829671453062446e-9, 0.008295848460356279, 0.0003422623782798746, 0.016280224060828165, 0.11552037666141689, 0.04931389747696757, 0.06600859294608927, 0.06204022073099372, 0.001299455203701318, 0.0018853796725654898, 0.12308074391128221, 0.00037188647090434827, 0.004129947521161334, 0.032107408656212484, 0.018149916199033795, 0.04798323771642669, 0.03215468435661375, 0.0016945033584946157, 0.000020786111230235208, 0.0006111470687903881, 0.000034684677889007876, 0.00017783193880928878, 0.0004140961725904025, 0.00036391936327575375, 0.0034179824254487734, 0.000021753335758788238, 0.0014059775129602362, 0.02177811644523787, 0.021395996675775984, 0.000025774394394029446, 0.02105943172263394, 0.0002224960470210015, 0.001633791845577416, 0.010188509148148138, 0.0673235736088675, 0.0000028727570286760833, 0.00024144674324670396, 0.009773987794702423, 0.0007637105490935393, 0.000404197259352594, 0.15186744132592808, 0.0007799601242074691, 0.0021696364165765467, 0.010309276892713113, 0.08454894604652019, 0.0028715280667329234, 0.00003868701397328612, 0.0014273345565037688 ]
[ 1027, 1027, 2458, 1027, 1027, 102, 101, 102, 101, 2066, 2049, 8646, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 3833, 2011, 19413, 5104, 2004, 18886, 2819, 1010, 2007, 2049, 2364, 6602, 2108, 2328, 2011, 22794, 4244, 15669, 6200, 2686, 1012, 2810, 1998, 5604, 1997, 1996, 12076, 1005, 1055, 3078, 6602, 2001, 2949, 2011, 2337, 2263, 1010, 2043, 2009, 2001, 12057, 2005, 8346, 2007, 1996, 2717, 1997, 1996, 12076, 1012, 1999, 2257, 2268, 1010, 1996, 12076, 1005, 1055, 2598, 6502, 1010, 2029, 2018, 2042, 17051, 2144, 1996, 2434, 3260, 1010, 2001, 4161, 3201, 2005, 2224, 1012, 2810, 1998, 5604, 1997, 1996, 12076, 2018, 2042, 2949, 2011, 3054, 1030, 1011, 1030, 2244, 1012, 1996, 2622, 3208, 2005, 1996, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 3260, 2001, 2957, 4557, 1010, 2040, 2018, 2042, 1996, 3001, 3208, 2006, 1996, 2434, 5390, 8820, 2102, 3260, 1012, 102, 101, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2003, 2019, 2471, 1030, 1011, 1030, 7235, 6100, 1997, 1996, 2434, 12076, 1010, 2174, 12719, 2020, 2081, 2164, 1996, 2804, 1997, 1037, 10200, 7217, 12456, 19198, 1012, 1999, 2561, 1010, 5594, 8377, 2020, 2081, 2000, 1996, 12076, 2043, 2009, 2001, 7183, 1012, 102, 101, 102, 101, 1027, 1027, 4637, 11702, 1024, 5390, 21818, 2595, 1027, 1027, 102, 101, 102, 101, 2009, 2001, 3154, 2013, 1996, 2927, 1997, 1996, 5390, 8820, 2102, 4746, 2008, 2019, 4866, 2186, 1997, 11702, 2052, 2022, 2734, 1010, 2119, 2000, 3305, 8290, 1997, 1996, 7217, 5975, 2007, 1996, 3302, 1997, 1996, 3256, 9700, 1998, 2000, 14396, 1996, 7594, 2489, 6277, 1997, 8274, 2712, 3256, 2007, 2049, 14983, 1012, 2023, 3732, 1010, 1999, 3327, 1010, 2052, 2031, 2000, 2202, 4070, 1997, 4586, 10578, 1012, 2005, 2712, 3256, 1010, 2029, 5829, 2004, 2009, 2003, 10676, 2011, 1996, 3612, 1010, 2009, 2001, 2036, 4072, 2000, 4503, 5461, 2029, 2071, 2507, 8335, 3463, 2043, 7594, 2013, 7248, 8932, 2012, 2367, 3177, 1006, 6529, 2006, 1996, 3302, 1010, 7739, 1030, 1011, 1030, 18948, 2614, 2545, 1010, 2948, 1030, 1011, 1030, 15356, 7217, 2015, 1998, 5390, 8820, 2102, 2993, 1007, 1012, 1037, 2193, 1997, 8008, 2020, 2864, 2104, 1037, 4746, 2170, 5390, 21818, 2595, 2029, 6461, 2000, 4769, 2169, 1997, 1996, 4453, 2752, 1997, 12503, 1012, 2122, 8008, 2506, 2083, 1996, 2458, 1997, 1996, 2434, 5390, 8820, 2102, 1998, 2020, 3740, 2000, 3613, 2044, 2049, 4888, 1012, 102, 101, 2206, 1996, 8874, 2008, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2052, 2022, 2328, 1996, 5390, 21818, 2595, 4746, 2001, 3668, 1012, 7885, 2020, 4146, 1999, 12615, 2000, 5646, 2129, 4586, 2071, 7461, 2049, 15324, 1010, 1998, 2000, 3073, 2951, 2005, 10250, 12322, 15172, 1996, 5871, 1012, 1999, 2254, 2289, 1996, 2647, 2686, 4034, 3843, 1037, 5227, 2005, 10340, 2005, 2582, 10250, 12322, 8156, 1998, 27354, 7885, 1012, 2582, 5390, 21818, 2595, 7885, 2020, 4146, 2006, 17917, 2389, 21458, 1999, 2289, 1010, 2628, 2011, 1037, 2345, 5590, 2000, 16128, 1998, 1996, 7614, 3256, 6178, 1999, 2263, 1012, 3176, 4586, 11702, 2020, 3024, 2011, 1996, 10162, 8115, 5590, 1010, 1998, 1996, 6152, 2057, 6914, 2121, 2820, 1005, 1055, 10519, 12553, 18892, 1998, 6970 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0015896972112292055, 0.007024964587956127, 0.002459188671540049, 0.01057166131354251, 0.07272653349786712, 0.01716619900014112, 0.0018657459328304748, 0.01656371632702972, 0.009266117827844653, 0.002175700045883648, 0.00035139625484792745, 1.0072522159549877e-8, 0.07686538568189911, 1.0072522169916647e-8, 0.00001897769958284342, 0.0026613121002284097, 0.0034625017031079805, 0.01956534464989019, 0.04517522973423154, 0.000142836066210684, 0.0002627759485864096, 0.00010000396498011122, 0.0001575281311025376, 0.00020652313422637325, 0.013457442593928209, 0.00515176990143678, 0.05252011882354024, 0.009316122774444711, 0.0547448249397347, 0.02860080948157412, 0.02237029112339983, 0.050924509271699815, 0.012152913395885697, 0.016218455750478734, 0.033159264192315414, 0.02204495853284705, 0.06948704988765818, 0.08165358173791318, 0.0005736871883083511, 0.002747508987442663, 0.036324289960933995, 0.10745740908342503, 0.030826530208694664, 0.0000055254026270252085, 0.025351687055974948, 0.0034459231802256734, 0.01946983609916133, 0.004175758211615355, 0.007434448797639521, 0.000005923787291516747 ]
[ 7512, 28993, 7217, 12456, 19198, 2291, 1006, 2004, 7895, 2015, 1007, 6602, 1010, 5614, 7548, 1037, 2079, 28484, 2079, 22238, 2948, 1012, 102, 101, 102, 101, 1027, 1027, 2345, 12929, 1027, 1027, 102, 101, 102, 101, 2043, 2009, 2001, 4844, 1999, 2337, 2294, 1010, 1996, 4888, 1997, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 3740, 2005, 2233, 2268, 1012, 2009, 2001, 2761, 3740, 2008, 2066, 2049, 8646, 2009, 2052, 2022, 3390, 2011, 1037, 20996, 23342, 1010, 2174, 2349, 2000, 1037, 3768, 1997, 2800, 18989, 1037, 1040, 2638, 18098, 1030, 1011, 1030, 1015, 7596, 2001, 3479, 2612, 1012, 2003, 2278, 12849, 25855, 6494, 2015, 2020, 11016, 2000, 4685, 1996, 4888, 1012, 2349, 2000, 14350, 2000, 3041, 6416, 1998, 2846, 11343, 3471, 1010, 1996, 4888, 2001, 8394, 2127, 2337, 2230, 1012, 102, 101, 1996, 1040, 2638, 18098, 7596, 4137, 2000, 4888, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 3369, 2012, 1996, 21790, 19648, 3126, 2522, 25855, 29171, 2011, 3345, 2006, 2756, 2285, 2268, 1012, 2006, 2260, 2254, 2230, 1010, 1996, 2034, 2048, 5711, 1997, 1996, 7596, 2020, 8209, 2046, 1996, 4888, 2064, 12911, 1010, 1998, 1996, 2064, 12911, 2001, 4810, 2005, 5193, 2000, 1996, 4888, 2609, 1012, 2006, 2403, 2254, 1010, 2009, 2001, 4565, 2041, 2000, 2609, 11518, 1013, 5345, 1010, 2073, 2009, 2001, 5361, 2046, 2049, 9033, 4135, 1012, 1996, 2279, 2154, 2387, 1996, 2353, 2754, 9687, 2000, 1996, 9033, 4135, 1010, 1998, 5361, 10234, 1996, 7596, 1012, 102, 101, 2206, 1996, 6503, 1997, 2049, 2810, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 2872, 2046, 5527, 2000, 26751, 4888, 1012, 1999, 2254, 2230, 1010, 1996, 12076, 2001, 3718, 2013, 5527, 1010, 1998, 12057, 2000, 21790, 19648, 3126, 2005, 4888, 1012, 2009, 7745, 7469, 8965, 12947, 16423, 3199, 7548, 2019, 9865, 4492, 2019, 1030, 1011, 1030, 13412, 2948, 2006, 2260, 2254, 1010, 1998, 3369, 2012, 21790, 19648, 3126, 1996, 2279, 2154, 1012, 2206, 5508, 2012, 1996, 4888, 2609, 1010, 2345, 3320, 1998, 5604, 2020, 4146, 1012, 102, 101, 2076, 2345, 5604, 1010, 6145, 11156, 2008, 1996, 12076, 1005, 1055, 1060, 2316, 1006, 10079, 1044, 1013, 1045, 1013, 1046, 4996, 1007, 4806, 13438, 2001, 23820, 2069, 1037, 4714, 12884, 1997, 1996, 2373, 2008, 2009, 2323, 1012, 9829, 12126, 3662, 2008, 1996, 4400, 28582, 2000, 1996, 13438, 1010, 2784, 2503, 1996, 12076, 1010, 2001, 2200, 2980, 1012, 4415, 2008, 2001, 2073, 1996, 4394, 2373, 2001, 2108, 22572, 1012, 1996, 4400, 28582, 2071, 2025, 5373, 2022, 20456, 2030, 13671, 2302, 2350, 4487, 20939, 3366, 14905, 2135, 1997, 1996, 5871, 1010, 2029, 2052, 2031, 3223, 1037, 2709, 2000, 1996, 4128, 1999, 2885, 1998, 4504, 1999, 1037, 2350, 8536, 2000, 1996, 4888, 1012, 2000, 4468, 2725, 2023, 1010, 1037, 2334, 9431, 2001, 2716, 1999, 2000, 22459, 1996, 6922, 2007, 2019, 2203, 2891, 16186, 1012, 1996, 9431, 1010, 22725, 1062, 15922, 7103, 1010, 3603, 2008, 2048, 4109, 1997, 10768, 18752, 2618, 2020, 20451, 1999, 1996, 7270, 1010, 1998, 2001, 2583, 2000, 6366, 2119, 1997, 2068, 1012, 6145, 2020, 2583, 2000, 6509, 1996, 8208, 1997, 1996, 2117, 2028, 2007, 1037, 16853, 1012, 2009, 2001, 4340, 2008, 1996, 10768 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0003059462019574096, 0.05791759841110922, 0.058602031277871384, 0.001573013391019714, 0.00002606223353109345, 0.00424298434976876, 0.024516251007899652, 0.009266813939399808, 0.01001299199298261, 0.00002264490879697105, 0.013488169533830644, 0.000002610145181988078, 0.007307090389278537, 0.000005600611635139833, 0.17731437664162247, 0.000007779304319294314, 0.001417288055931811, 0.010372554783882049, 0.039924024050235145, 0.00008514587452223829, 0.06773013056088854, 0.00006927874736053859, 0.00016733260530522753, 0.021540971606006043, 0.004321115940106963, 0.03853938164428956, 0.0003356260713326834, 0.000171945659438459, 0.05961370285304666, 0.01673389846241254, 0.008996873938505248, 0.0006877962869987146, 0.0018996825223435761, 0.04594168174453763, 0.00026689222230359244, 0.0019761035914161473, 0.040130066055328914, 0.00021972508279633951, 0.08609664947977132, 0.09481414171195779, 0.00001878407388195858, 0.008264443721011878, 0.010598507022034276, 8.842030059366374e-9, 0.00010429900655458894, 0.011841137966220903, 0.003770521587619001, 0.01830225009602246, 0.012431629522644622, 0.02800444427105778 ]
[ 18752, 2618, 2018, 2272, 2013, 2019, 16326, 7170, 5361, 2784, 2503, 1996, 13438, 1010, 2029, 2001, 3832, 2000, 5335, 2049, 2836, 1012, 2070, 10768, 18752, 2618, 1006, 1996, 3588, 22475, 1997, 2023, 7170, 1007, 2001, 3718, 2013, 2503, 1996, 2918, 1997, 1996, 13438, 1999, 2344, 2000, 4652, 2151, 2582, 11385, 4634, 2046, 1996, 4400, 28582, 1012, 102, 101, 2006, 1018, 2337, 1010, 1996, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 12076, 2001, 4762, 3709, 2005, 4888, 1012, 2059, 2006, 2184, 2337, 2009, 2001, 4987, 2000, 1996, 18093, 15581, 2953, 1010, 1998, 4372, 17695, 23722, 4383, 1999, 1996, 18093, 4189, 2075, 1010, 2000, 2433, 1037, 3131, 2124, 2004, 1996, 2686, 2132, 11336, 1012, 2023, 2001, 9687, 2000, 1996, 4888, 11687, 2011, 2965, 1997, 1037, 4316, 2124, 2004, 1996, 21843, 1010, 1998, 5361, 10234, 1996, 6839, 7596, 1012, 4897, 5833, 4158, 2006, 2321, 2337, 1010, 1998, 1996, 2279, 2154, 1996, 5871, 2001, 8878, 1999, 2344, 2000, 3231, 2049, 3001, 2206, 8346, 3031, 1996, 7596, 1012, 102, 101, 102, 101, 1027, 1027, 4888, 1027, 1027, 102, 101, 102, 101, 2043, 1996, 12076, 2001, 5361, 10234, 1996, 1040, 2638, 18098, 1010, 4888, 2001, 5115, 2000, 5258, 2006, 2423, 2337, 1010, 2012, 2410, 1024, 5401, 11396, 1012, 3188, 2000, 2023, 1010, 1037, 3218, 18144, 2001, 5115, 2005, 2539, 2337, 1012, 2195, 2847, 2077, 1996, 3218, 2001, 5115, 2000, 4088, 2003, 2278, 12849, 25855, 6494, 2015, 2623, 2008, 1996, 4888, 2018, 2042, 8394, 1010, 1998, 2004, 1037, 2765, 1996, 3218, 2106, 2025, 2202, 2173, 1012, 1996, 8536, 2001, 3303, 2011, 1037, 5142, 2008, 1996, 2117, 2754, 2158, 8913, 2226, 19716, 2075, 5209, 2106, 2025, 2031, 1037, 7182, 11712, 1997, 3914, 4762, 1012, 102, 101, 2206, 1996, 8536, 1010, 1996, 2686, 2132, 11336, 2001, 3718, 2013, 1996, 7596, 1010, 1998, 2513, 2000, 2049, 8346, 2311, 2006, 2570, 2337, 1012, 5819, 2009, 2001, 1999, 1996, 8346, 2311, 1010, 3679, 29589, 2020, 2081, 2000, 5676, 2008, 1996, 12076, 2001, 2145, 12285, 5373, 1012, 2320, 1996, 4762, 3277, 2018, 2042, 10395, 1010, 1996, 4888, 2001, 24501, 7690, 18696, 2005, 1022, 2258, 1010, 1998, 4888, 3136, 7943, 1012, 2006, 1015, 2258, 1010, 1996, 2686, 2132, 11336, 2001, 2513, 2000, 1996, 9033, 4135, 1010, 1998, 19222, 9080, 3709, 10234, 1996, 1040, 2638, 18098, 1012, 2206, 6377, 5852, 1010, 1996, 3218, 18144, 2001, 5147, 4146, 2006, 1020, 2258, 1012, 102, 101, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 3390, 2012, 2410, 1024, 5401, 1024, 5840, 11396, 2006, 1022, 2258, 2230, 1012, 2206, 1037, 3144, 4888, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 5459, 2013, 1996, 3356, 2754, 1997, 1996, 1040, 2638, 18098, 2046, 1037, 2659, 3011, 8753, 1012, 1996, 2034, 7755, 2013, 1996, 5871, 2020, 11156, 2011, 1037, 2598, 2276, 2012, 1996, 22953, 29480, 2686, 2803, 1999, 16007, 16089, 1010, 7938, 1010, 9171, 2781, 2044, 4888, 1012, 102, 101, 102, 101, 1027, 1027, 3260, 1027, 1027, 102, 101, 102, 101, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 1005, 1055, 3260, 2003, 2000, 2817, 1996, 3011, 1005, 1055, 11508, 3256, 9700, 1010, 9854, 1010, 1998, 2559, 2005, 8386, 1999, 1010, 1996, 14983, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0006938256467949492, 0.02925997485947023, 0.0050742792131880324, 0.09821554140746941, 0.00004871142885194664, 0.005350073766192046, 0.014074306020041776, 0.009326376469721419, 0.00003562375480760287, 0.1322287864215993, 0.015993125770161144, 0.0051343032699345415, 0.012327623920395284, 0.014096842739422999, 0.000680991160545316, 0.000711771461245349, 0.000002640619581483463, 0.007487552860839435, 0.0947081216411799, 0.032823091920617005, 0.0737175956424569, 0.0003958035660636277, 0.001427553662052806, 0.0692770898676954, 0.0020817919862178395, 0.014382359084744183, 0.00009261718153027196, 9.849921668499032e-9, 0.022364828669579753, 0.0006959851426141092, 9.849921668499032e-9, 0.058003829911212015, 0.0005351181095411634, 0.00033762077640576727, 0.000026398262382611928, 0.03718298344674228, 0.004574476899901594, 0.002276377505381397, 0.05433380446776539, 0.00040191902985712343, 0.021208227391931858, 0.011012951034363864, 0.08129028727827815, 6.852037291142405e-7, 0.0005602238822581779, 0.02582692472910167, 0.02866761118200977, 0.004680467221312722, 0.004069312651260557, 0.0023015721617074027 ]
[ 3256, 1012, 2049, 3260, 2003, 7235, 2000, 2008, 1997, 1996, 2434, 5390, 8820, 2102, 1012, 102, 101, 1996, 3078, 5693, 7548, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2024, 2909, 2389, 1030, 1011, 1030, 1016, 1010, 1996, 18906, 1013, 6970, 7512, 28993, 7217, 12456, 28136, 1025, 2029, 3594, 7217, 2000, 5646, 1998, 8080, 1996, 12076, 1005, 1055, 7998, 1999, 2344, 2000, 5468, 1996, 6678, 1997, 1996, 3256, 1012, 4406, 1996, 2434, 5390, 8820, 2102, 1010, 2048, 2909, 2389, 5693, 2024, 5361, 7548, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 1010, 2007, 2028, 3529, 2004, 1037, 10200, 1999, 2553, 1996, 2060, 11896, 1012, 102, 101, 1037, 2117, 6602, 1010, 2079, 9397, 3917, 8753, 1998, 2557, 19120, 8346, 2011, 5871, 1010, 2030, 15467, 1010, 2003, 2109, 2000, 18422, 10785, 1996, 12076, 1005, 1055, 8753, 1012, 2019, 9140, 1997, 22307, 2890, 21031, 24817, 2024, 2036, 3344, 7548, 1996, 12076, 1010, 1998, 3499, 11702, 2000, 2022, 2081, 2013, 1996, 2598, 2000, 20410, 1996, 13943, 2951, 3024, 2011, 15467, 1012, 102, 101, 2206, 4888, 1010, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2001, 2872, 2046, 1037, 2659, 3011, 8753, 2007, 1037, 2566, 25538, 2063, 1997, 22857, 3717, 1006, 10332, 2771, 1007, 1010, 2019, 9706, 23884, 2063, 1997, 6421, 2475, 3717, 1006, 3429, 2629, 2771, 1007, 1010, 6227, 5445, 1997, 21970, 1998, 2019, 13943, 2558, 1997, 5585, 1030, 1012, 1030, 1016, 2781, 1012, 2009, 2018, 1037, 3742, 2012, 4888, 1997, 9683, 18857, 1006, 1015, 1030, 1010, 1030, 13757, 6053, 1007, 1010, 1998, 2003, 3517, 2000, 5452, 2005, 2012, 2560, 2093, 2086, 1012, 102, 101, 4888, 1998, 2220, 8753, 4403, 3136, 2020, 2949, 1999, 1996, 2851, 1997, 2340, 2258, 2230, 1010, 1998, 2909, 2389, 1030, 1011, 1030, 1016, 2001, 8878, 2101, 1996, 2168, 2154, 1012, 2012, 2403, 1024, 2871, 11396, 1010, 1996, 12076, 2513, 2049, 2034, 4045, 2951, 1012, 3988, 2951, 2006, 3256, 14983, 2001, 3591, 2011, 1996, 3260, 1005, 1055, 2599, 14064, 1010, 7343, 3358, 3511, 1010, 2012, 1996, 2230, 2542, 4774, 17899, 2006, 1015, 2251, 1012, 2101, 1996, 2168, 3204, 1010, 2951, 2001, 2081, 2800, 2000, 6529, 2005, 1996, 2034, 2051, 1012, 1996, 12076, 9601, 2416, 2706, 1997, 2006, 1030, 1011, 1030, 8753, 5604, 1998, 21612, 1010, 2029, 5531, 2007, 1037, 3319, 2006, 2570, 2255, 2230, 2008, 2179, 1996, 12076, 2001, 4082, 2004, 3517, 1010, 1998, 2008, 2009, 2001, 3201, 2000, 4088, 3136, 1012, 102, 101, 1996, 14427, 4403, 1997, 1996, 3260, 2318, 2006, 1996, 2656, 2255, 2230, 2104, 1996, 5368, 1997, 3419, 9335, 2080, 11968, 11467, 7174, 2040, 2003, 2747, 1996, 3260, 3208, 1012, 102, 101, 102, 101, 1027, 1027, 3463, 1027, 1027, 102, 101, 102, 101, 2951, 2013, 5390, 8820, 2102, 1030, 1011, 1030, 1016, 2038, 3491, 2423, 1030, 1010, 1030, 2199, 25180, 21723, 2015, 1010, 2007, 2062, 2000, 2272, 2004, 2951, 2003, 10009, 1012, 102, 101, 102, 101, 102, 101, 1027, 2446, 10844, 5902, 8040, 21030, 2099, 1027, 102, 101, 102, 101, 5902, 8040, 21030, 2099, 2001, 1037, 28668, 1030, 1011, 1030, 2465, 3082, 10844, 1006, 2411, 12061, 1037, 4979, 17224, 1007, 2029, 2366, 2007, 1996, 1047, 7373, 5620, 21966, 1997, 6394, 2762, 2076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.0000991388119530256, 0.0026132636466138924, 0.1117409950672315, 0.038133672003892116, 0.0031048513629571297, 0.11718578112429533, 0.002174263766994254, 0.00022077639609101248, 0.0009389930395819003, 0.0498025198744474, 0.0007012652085033261, 0.000025364955646085015, 0.03298967392321303, 0.005624698986684404, 0.13253782836307224, 0.0022947919338963973, 0.01398703198551628, 0.013309442263802393, 0.002040450312172052, 0.010295999202292384, 0.0030742229126854044, 0.0008886474435545296, 0.0033167242217057792, 9.769846833227357e-9, 0.008752752097911739, 9.769846833227357e-9, 0.000019790804436733448, 0.013170092098294933, 0.0004054288495615231, 0.00035045355552783356, 0.05998746812694361, 0.000454046922190058, 0.029701326389695557, 9.769846833227357e-9, 0.0014556722251600305, 0.005138757097125411, 0.04505526207060475, 0.006589579101568573, 0.0003806571236815633, 0.0000119172379827694, 9.769846833227357e-9, 0.00006038791331900286, 0.016153576725726468, 0.052611316584755985, 0.0047626484162233244, 0.0014514996143395185, 0.1452922373446543, 0.0000474749781926397, 0.0072623893460368495, 0.05378482948987776 ]
[ 2088, 2162, 2462, 1012, 1996, 6258, 2001, 2315, 2044, 5902, 27788, 11783, 8040, 21030, 2099, 1010, 2446, 3474, 1999, 1996, 2645, 1997, 18414, 19270, 1012, 2016, 2001, 4201, 2091, 2012, 1996, 14365, 26212, 11467, 13777, 6199, 13858, 1999, 9070, 7377, 8159, 1999, 2238, 4739, 1998, 2949, 2011, 2281, 4579, 1012, 2761, 6219, 2004, 2019, 10612, 2911, 1006, 16946, 11624, 13355, 1007, 2011, 1996, 14365, 26212, 11467, 1010, 1999, 2337, 3878, 1996, 7074, 28667, 24938, 1996, 3588, 2048, 3719, 1997, 2023, 2465, 2004, 3082, 16722, 1012, 102, 101, 1996, 2911, 2001, 24207, 2104, 1996, 2184, 1030, 1010, 1030, 2199, 2146, 6197, 1006, 2184, 1030, 1010, 1030, 2199, 1056, 1007, 22718, 2006, 21905, 2946, 9770, 2011, 1996, 5036, 1997, 18346, 1010, 2295, 2007, 1037, 2440, 7170, 13508, 1997, 2321, 1030, 1010, 1030, 8380, 2146, 6197, 1006, 2321, 1030, 1010, 1030, 17442, 1056, 1007, 1010, 2016, 6022, 14872, 2009, 1012, 4273, 2007, 2416, 2654, 4642, 1006, 2340, 1999, 1007, 4409, 1999, 2048, 6420, 3282, 21088, 1010, 5902, 8040, 21030, 2099, 1998, 2014, 5208, 2020, 2881, 2000, 2041, 12734, 2151, 10844, 3435, 2438, 2000, 4608, 2068, 1012, 2037, 2327, 3177, 1997, 2654, 9439, 1006, 4720, 2463, 1013, 1044, 1025, 3590, 5601, 1007, 2187, 2069, 1037, 9210, 1997, 3719, 1999, 1996, 7819, 1030, 1011, 1030, 2413, 6583, 25929, 2583, 2000, 4608, 2068, 1998, 3928, 2438, 2000, 7752, 2068, 1012, 102, 101, 5902, 8040, 21030, 2099, 2387, 3082, 2326, 2007, 1996, 2446, 3212, 1010, 2164, 1037, 10813, 2000, 3577, 2076, 1996, 3009, 2942, 2162, 1010, 2073, 2016, 5968, 28037, 1996, 3417, 1997, 2632, 5017, 2401, 1012, 2014, 2034, 3169, 2076, 2088, 2162, 2462, 2001, 1037, 6236, 23530, 3169, 2046, 1996, 2670, 4448, 4153, 1025, 2016, 2036, 2081, 1037, 4766, 2005, 4710, 2046, 1996, 2796, 4153, 1012, 2076, 1996, 3169, 1010, 2016, 7569, 12104, 1030, 1010, 1030, 20802, 7977, 4236, 6197, 1006, 24665, 2102, 1007, 1997, 7829, 1010, 2437, 2014, 1996, 2087, 3144, 3007, 2911, 3302, 27826, 1997, 1996, 2162, 1012, 2206, 2014, 2709, 2000, 2762, 1010, 2016, 2001, 7333, 2000, 2642, 5120, 2000, 6970, 29201, 7829, 2000, 1996, 3354, 2586, 1012, 2016, 2001, 2112, 1997, 1996, 11113, 11589, 3512, 2886, 2006, 9549, 1052, 4160, 2459, 1998, 4146, 3169, 8814, 11563, 3122, 1010, 1037, 4066, 2666, 2046, 1996, 13173, 2712, 1012, 2044, 4192, 2000, 2762, 2012, 1996, 2203, 1997, 3758, 1010, 1996, 2911, 2366, 2004, 1037, 2731, 2911, 2127, 1996, 2203, 1997, 3646, 1010, 2043, 2016, 2001, 2109, 2000, 2490, 2598, 3136, 2114, 1996, 3354, 2390, 1012, 2016, 2001, 10417, 2011, 2329, 10544, 2006, 1023, 2258, 3386, 1998, 6822, 14553, 1025, 1996, 6893, 1997, 1996, 12006, 3658, 3950, 4218, 1037, 21048, 1012, 102, 101, 102, 101, 1027, 1027, 2640, 1027, 1027, 102, 101, 102, 101, 5902, 8040, 21030, 2099, 2001, 19609, 5563, 1006, 19827, 3027, 1007, 2146, 3452, 1998, 2018, 1037, 7504, 1997, 2538, 1030, 1012, 1030, 4090, 1049, 1006, 3963, 1030, 1012, 1030, 1014, 3027, 1007, 1998, 1037, 4555, 4433, 1997, 1021, 1030, 1012, 1030, 2423, 1049, 1006, 2603, 1030, 1012, 1030, 1022, 3027, 1007, 1012, 1996, 2911, 2018, 1037, 2640, 13508, 1997, 2410, 1030, 1010, 1030, 20982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.06846732573269514, 0.001072627124894607, 0.05959231486632331, 0.0038417006402021885, 0.04907489478830908, 0.004034899638531274, 9.259357854274475e-9, 0.001321831400446541, 0.03394233443173488, 0.0001221556730022792, 0.011964239431663618, 0.0002041920520490782, 0.08634338974302048, 0.09395453767997954, 0.0012233010852305052, 9.259357854274475e-9, 0.000043588278545816136, 0.001549831033939287, 0.000014357165354124468, 0.08820463607315122, 0.000009253905804976228, 0.07962596203654682, 0.020230927798161127, 0.008402463248603014, 0.000006718013789851212, 0.0038239167043455096, 0.00471824560442477, 0.048616618914172675, 9.259357854274475e-9, 0.015323535769079305, 0.01638000362115773, 0.00002645513444773588, 0.006981275300228692, 0.013294053276840577, 0.003932750791598642, 0.003878135628299356, 0.00005053725305899833, 0.08314702470152852, 0.00019011781869766295, 0.0007950000558354478, 0.03461768883847002, 9.259357854274475e-9, 0.000037247425897646236, 0.0001734919632499244, 0.000021114147664302272, 0.03424543609849937, 0.03266487027587486, 0.08168570603160043, 0.0008900538398124732, 0.0012592019258052607 ]
[ 1056, 1006, 2410, 1030, 1010, 1030, 17422, 2146, 6197, 1025, 2321, 1030, 1010, 1030, 5757, 2692, 2460, 6197, 1007, 1998, 1037, 2440, 7170, 13508, 1997, 2321, 1030, 1010, 1030, 8380, 2146, 6197, 1006, 2321, 1030, 1010, 1030, 17442, 1056, 1007, 1010, 2295, 1996, 2911, 2001, 3985, 3090, 2000, 2022, 2306, 1996, 2184, 1030, 1010, 1030, 2199, 2146, 6197, 1006, 2184, 1030, 1010, 1030, 2199, 1056, 1007, 5787, 1997, 1996, 5036, 1997, 18346, 1012, 5902, 8040, 21030, 2099, 2001, 6113, 2011, 2176, 4520, 1997, 2158, 3157, 1030, 1011, 1030, 7956, 3313, 1030, 1011, 1030, 3772, 2048, 1030, 1011, 1030, 6909, 7937, 5209, 1012, 1996, 2911, 1005, 1055, 2327, 3177, 2001, 2654, 1030, 1012, 1030, 1017, 9439, 1006, 4720, 1030, 1012, 1030, 1018, 2463, 1013, 1044, 1025, 3590, 1030, 1012, 1030, 1020, 5601, 1007, 1010, 2012, 4720, 1030, 1010, 1030, 28714, 9093, 15149, 1006, 4229, 1030, 1010, 1030, 6282, 2692, 6448, 1007, 1012, 2012, 1037, 22206, 3177, 1997, 2322, 9439, 1006, 4261, 2463, 1013, 1044, 1025, 2603, 5601, 1007, 1010, 1996, 2911, 2071, 5492, 2005, 1023, 1030, 1010, 1030, 2531, 11339, 2661, 1006, 2385, 1030, 1010, 1030, 7706, 2463, 1025, 2184, 1030, 1010, 1030, 3156, 2771, 1007, 1012, 2004, 2881, 1010, 2014, 3115, 13711, 5031, 1997, 3943, 3738, 1998, 5388, 2575, 9417, 2273, 1010, 2295, 2044, 4437, 2023, 2001, 6022, 3445, 2000, 2382, 3738, 1998, 6227, 2487, 1516, 1015, 1030, 1010, 1030, 5840, 2692, 11279, 1012, 102, 101, 5902, 8040, 21030, 2099, 1005, 1055, 3078, 14410, 2001, 2416, 2654, 4642, 1006, 2340, 1030, 1012, 1030, 1014, 1999, 1007, 15315, 1039, 1013, 2654, 4409, 5614, 1999, 2048, 6420, 3282, 21088, 1010, 2028, 2830, 1998, 2028, 16638, 1997, 1996, 28391, 1012, 1996, 2911, 3344, 1037, 3905, 6046, 1997, 2809, 2321, 4642, 1006, 1019, 1030, 1012, 1030, 1023, 1999, 1007, 15315, 1039, 1013, 2654, 4409, 1999, 2309, 21088, 15131, 13463, 9650, 2015, 1012, 2014, 3424, 1030, 1011, 1030, 2948, 6046, 2761, 5031, 1997, 2093, 1022, 1030, 1012, 1030, 1022, 4642, 1006, 1017, 1030, 1012, 1030, 1019, 1999, 1007, 1048, 1013, 3429, 4409, 1010, 2295, 1999, 4437, 2122, 2020, 2999, 2007, 2416, 1022, 1030, 1012, 1030, 1022, 4642, 1048, 1013, 6275, 4409, 1012, 2011, 3878, 1996, 2911, 1005, 1055, 3424, 1030, 1011, 1030, 2948, 6046, 2001, 6022, 3445, 1010, 5398, 1997, 2416, 2184, 1030, 1012, 1030, 1019, 4642, 1006, 1018, 1030, 1012, 1030, 1015, 1999, 1007, 1039, 1013, 3943, 4409, 1010, 2176, 5519, 1030, 1011, 1030, 5614, 1017, 1030, 1012, 1030, 1021, 4642, 1006, 1015, 1030, 1012, 1030, 1019, 1999, 1007, 1039, 1013, 2382, 4409, 1998, 2039, 2000, 3174, 1030, 1011, 1030, 2809, 1016, 4642, 1006, 1014, 1030, 1012, 1030, 6535, 1999, 1007, 13109, 4817, 2382, 4409, 1012, 2011, 3386, 1010, 1996, 3424, 1030, 1011, 1030, 2948, 6046, 2018, 2153, 2042, 14137, 1998, 11539, 2416, 1018, 4642, 4409, 1010, 2809, 1017, 1030, 1012, 1030, 1021, 4642, 4409, 1010, 1998, 4228, 1030, 1011, 1030, 2093, 1016, 4642, 4409, 1012, 102, 101, 1996, 2911, 2036, 3344, 1037, 3940, 1997, 17718, 21531, 2571, 5187, 1030, 1012, 1030, 1017, 4642, 1006, 2538, 1030, 1012, 1030, 1014, 1999, 1007, 5877, 1030, 1011, 1030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.005576547906367314, 0.06555283210126446, 0.024469488916046337, 0.002982177938694336, 0.006016931998429964, 0.0000014317293168383765, 0.0012687916220785998, 0.000014982809191594255, 0.08985336258214527, 0.0051784297956863744, 0.00858888154260677, 0.0015167022948954154, 0.000049558395075672266, 0.00015754505546181422, 0.0009234753690604849, 0.01436671447539705, 0.000010803781644407583, 0.02589803315772802, 0.0001965112287478179, 0.0000046305899541641, 0.002483099253004654, 0.002845368856042938, 0.0608220388814186, 0.00011502566008463501, 0.001626330885593456, 0.0000011908024822278993, 0.11716270643661991, 0.04007923836748073, 0.015560907785760506, 0.0050219645416130125, 0.000025933860722420072, 0.00009914386648874994, 0.003657415533364664, 0.021217257943476963, 0.07412585348680889, 0.003599801638279847, 0.00572617185671361, 0.03750181239214573, 0.051043696318983936, 1.2746233328724865e-8, 0.13147095780378712, 0.06665748539624466, 1.3100223516370392e-8, 0.00030383803856432465, 0.01623960376234569, 0.000005635768612411781, 0.04478140759490531, 0.012716363185812268, 0.016783090812782463, 0.01569880013361075 ]
[ 5614, 9862, 22742, 2015, 2872, 2006, 2014, 8665, 1012, 1996, 2911, 2001, 6055, 2007, 2048, 19027, 3527, 12098, 20035, 2712, 26634, 1998, 2028, 4937, 9331, 11314, 1012, 5902, 8040, 21030, 2099, 1005, 1055, 10612, 5583, 2001, 3438, 2000, 3770, 3461, 1006, 1016, 1030, 1012, 1030, 1018, 2000, 1017, 1030, 1012, 1030, 1015, 1999, 1007, 4317, 1025, 2014, 3356, 5877, 2001, 2459, 3461, 1006, 1014, 1030, 1012, 1030, 6163, 1999, 1007, 4317, 2096, 1996, 2364, 10612, 5877, 2001, 2459, 2000, 3429, 3461, 1006, 1014, 1030, 1012, 1030, 6163, 2000, 1015, 1030, 1012, 1030, 6255, 1999, 1007, 4317, 1012, 1996, 2364, 6046, 21088, 2018, 8574, 3461, 1006, 1019, 1030, 1012, 1030, 1019, 1999, 1007, 4317, 5344, 1998, 3770, 3461, 4317, 3903, 1012, 7217, 3322, 5031, 1997, 1037, 4718, 2290, 4464, 1043, 1006, 2175, 1007, 2275, 1010, 2295, 1999, 3874, 2023, 2001, 2999, 2007, 2019, 4718, 2290, 2871, 1043, 1006, 2175, 1007, 2275, 1998, 1037, 11865, 5302, 2656, 2291, 1012, 102, 101, 102, 101, 1027, 1027, 2326, 2381, 1027, 1027, 102, 101, 102, 101, 5902, 8040, 21030, 2099, 2001, 3641, 2011, 1996, 14365, 26212, 11467, 2013, 1996, 14365, 26212, 11467, 13777, 6199, 13858, 1999, 9070, 7377, 8159, 1012, 3987, 4373, 28119, 2001, 2025, 2759, 2007, 1996, 2591, 8037, 1998, 1996, 13009, 1999, 1996, 2446, 14365, 9153, 2290, 1010, 2061, 2009, 2001, 2025, 2127, 4739, 2008, 1037, 3021, 2001, 2979, 2000, 3857, 1037, 2117, 16946, 11624, 13355, 1012, 1996, 2769, 2005, 16946, 11624, 13355, 1038, 1010, 2029, 2001, 3641, 2004, 9413, 16846, 2480, 2843, 26378, 25997, 1010, 2001, 7119, 2044, 1996, 2591, 8037, 14689, 28055, 2000, 4652, 1037, 2576, 5325, 1012, 2014, 19602, 2001, 4201, 2006, 2423, 2238, 4739, 1010, 2104, 2810, 2193, 13138, 1012, 1996, 2911, 2001, 3390, 2006, 1015, 2258, 4537, 1025, 2012, 2014, 12106, 1010, 2016, 2001, 4828, 6675, 2011, 19887, 2022, 18116, 2121, 1010, 1996, 2684, 1997, 5902, 27788, 11783, 8040, 21030, 2099, 1010, 1996, 2911, 1005, 1055, 17283, 1012, 2016, 2001, 2949, 3621, 2058, 1037, 2095, 1998, 1037, 2431, 2101, 2006, 2260, 2281, 4579, 1010, 1996, 2154, 2016, 2001, 4837, 2046, 1996, 2446, 4170, 1012, 1996, 2214, 17224, 16399, 2078, 2001, 3718, 2013, 2326, 1998, 2014, 3626, 4015, 2000, 1996, 4397, 4837, 16946, 11624, 13355, 1012, 102, 101, 2012, 2014, 21612, 1999, 2281, 4579, 1010, 5902, 8040, 21030, 2099, 2001, 2872, 2104, 1996, 3094, 1997, 10556, 23270, 2319, 17924, 2156, 1006, 1047, 2480, 2015, 1007, 9070, 7733, 18598, 2140, 1012, 1996, 2911, 2985, 1996, 6893, 1997, 4579, 9283, 2712, 7012, 1998, 2731, 2014, 3626, 1012, 1999, 4437, 1010, 2016, 2018, 1037, 2047, 4937, 9331, 11314, 1998, 4899, 9498, 2291, 2000, 5452, 2014, 19027, 3527, 2712, 26634, 2006, 3082, 11915, 5361, 1012, 2013, 1015, 2255, 4437, 2000, 2656, 2251, 4347, 2014, 2034, 2961, 2001, 12752, 20934, 8024, 3678, 1010, 2101, 2000, 2468, 2132, 1997, 3097, 4454, 1999, 1996, 2353, 14365, 1012, 2011, 2255, 4437, 1010, 1996, 2911, 2001, 3201, 2005, 2014, 2034, 2350, 8592, 1010, 2043, 2006, 2423, 1516, 2654, 2255, 2016, 4716, 27309, 1010, 4192, 2000, 20963, 2006, 1022, 2281, 1012, 1996, 2206, 2621, 1010, 2016, 8592, 2094, 2041, 2083, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.003948951101645869, 0.004433762014123685, 0.005675262466571066, 0.08346007997453715, 0.000017138115129428436, 0.010094204370636146, 0.03373465587380846, 0.0019826778270877307, 0.0045978717337163055, 0.002018739597538006, 0.003926677757567095, 0.00022258346370830262, 0.0004955909988529567, 0.039933777071020714, 0.00008829665949131302, 0.04267586798614974, 0.0026691408725186597, 0.001841380843040987, 8.66764437695335e-9, 0.0003218441945656703, 0.000027931476609339933, 0.006398884903430462, 0.004512638076469012, 0.0007785702570938432, 0.00010922340781673972, 0.0005127721807902018, 0.015756824870374733, 0.07636420579812332, 0.10239522141190005, 0.005829839312520278, 0.0062212379489958915, 0.027723413463845974, 0.007001184413467743, 0.10129336137852994, 0.00012359816303313774, 0.010806294475259165, 0.00006746213433039758, 0.05628279298728627, 0.14003203686852184, 0.106485579456197, 0.0039022507959268174, 0.00008672482765164326, 0.0789043650725904, 0.0008028267766560419, 0.00003590231357611397, 0.0011771676656109128, 0.000036839362765009103, 0.004166236400348627, 0.000017920677492901913, 0.000008181533432384566 ]
[ 24053, 4590, 16555, 1998, 1996, 2394, 3149, 2046, 1996, 3493, 2712, 1010, 2077, 5873, 8947, 2006, 1996, 2709, 8774, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3009, 2942, 2162, 1027, 1027, 1027, 102, 101, 102, 101, 5902, 8040, 21030, 2099, 1005, 1055, 2034, 6931, 10813, 2211, 1999, 2251, 4266, 2043, 2016, 2001, 2741, 2000, 3577, 2000, 22811, 2446, 9272, 3236, 1999, 1996, 12930, 1997, 1996, 3009, 2942, 2162, 1012, 2013, 1022, 2257, 4266, 2016, 2366, 2362, 2007, 2014, 2905, 2911, 28668, 2006, 2512, 1030, 1011, 1030, 8830, 14703, 2125, 1996, 3951, 1030, 1011, 1030, 2218, 3023, 1997, 3577, 1012, 2016, 2366, 2176, 7562, 1997, 4611, 2007, 1996, 2512, 1030, 1011, 1030, 8830, 6477, 2083, 2238, 4347, 1012, 2014, 2880, 7863, 2001, 2000, 2491, 1996, 18050, 1997, 2162, 16289, 9257, 2046, 3577, 1010, 2295, 2016, 2036, 2680, 3354, 3719, 4755, 6067, 2000, 1996, 10643, 1998, 5123, 3719, 12771, 2446, 4255, 2000, 8986, 2749, 1012, 2076, 1996, 10813, 2000, 3577, 1010, 10728, 11409, 3207, 5804, 2366, 2004, 1996, 2911, 1005, 1055, 2034, 27919, 2961, 1012, 2044, 28668, 2001, 4457, 2006, 2756, 2089, 4347, 2011, 3009, 3951, 2250, 2486, 2948, 2125, 21307, 21335, 1010, 5902, 8040, 21030, 2099, 2001, 3641, 2000, 5968, 4232, 1996, 3951, 1030, 1011, 1030, 2218, 3417, 1997, 2632, 5017, 2401, 1999, 16360, 6935, 2389, 1012, 2006, 2861, 2089, 4347, 1010, 1996, 5315, 1997, 1996, 2645, 1997, 18414, 19270, 1010, 5902, 8040, 21030, 2099, 1010, 3909, 1996, 4461, 2162, 5210, 1010, 3369, 2125, 2632, 5017, 2401, 2012, 5718, 1024, 2756, 1998, 2441, 2543, 2006, 5370, 10274, 1010, 3987, 14111, 1998, 3719, 1999, 1996, 6496, 1012, 2006, 2656, 2238, 4347, 1010, 2016, 2001, 7653, 2011, 2014, 2905, 2911, 5902, 22160, 11867, 4402, 1010, 4352, 2014, 2000, 2709, 2000, 9070, 7377, 8159, 2006, 1015, 2251, 1012, 2016, 2513, 2000, 1996, 7095, 2090, 2257, 1998, 2255, 1010, 2174, 1012, 1999, 2244, 4266, 1047, 2480, 2015, 8064, 25022, 6632, 2595, 2999, 7733, 18598, 2140, 2004, 1996, 2911, 1005, 1055, 7991, 2961, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2088, 2162, 2462, 1027, 1027, 1027, 102, 101, 102, 101, 2012, 1996, 8293, 1997, 2088, 2162, 2462, 1999, 2244, 3912, 1010, 5902, 8040, 21030, 2099, 2815, 2012, 8133, 1999, 1996, 8040, 7100, 8004, 4925, 14565, 2648, 9070, 7377, 8159, 1010, 2247, 2007, 1996, 3082, 10844, 5902, 5099, 4842, 1012, 2006, 1018, 2244, 1010, 2048, 2967, 1997, 2274, 7067, 1038, 7770, 8049, 10544, 4457, 1996, 3719, 1012, 1996, 2034, 2177, 4527, 1996, 3424, 1030, 1011, 1030, 2948, 29000, 7548, 5902, 8040, 21030, 2099, 1010, 2040, 6600, 3266, 2000, 5607, 2091, 2028, 1997, 1996, 2274, 1038, 7770, 8049, 2015, 1012, 2028, 5968, 4930, 1996, 2911, 1005, 1055, 5877, 1998, 3478, 2000, 15044, 1010, 1998, 2048, 28110, 1999, 1996, 2300, 2379, 1996, 2911, 1012, 1996, 3588, 9767, 2036, 3478, 2000, 15044, 1012, 1996, 2117, 2177, 1997, 2274, 1038, 7770, 8049, 2015, 2020, 12892, 2011, 1996, 22333, 2446, 13345, 1010, 2029, 2915, 2091, 2176, 1997, 1996, 2274, 10544, 1012, 5902, 8040, 21030, 2099, 6003, 2013, 1996, 2886, 6151, 8067, 5999, 1012, 1999, 2281, 3912, 1010, 1047, 2480, 2015, 21448, 1047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.016485791487466168, 0.0004929985745717886, 0.02246068111508618, 0.000007219497905072784, 9.270680222256317e-9, 0.04921414453668362, 0.0002377651981847271, 0.002021187770725007, 0.047695572412797246, 0.03808870339198208, 0.009511532511503351, 0.000485681497587253, 0.040387672441039225, 0.00031297902025428107, 0.0010990148943693474, 0.0002716369583063031, 0.018200936484895295, 0.00040477113307956853, 0.002646326977798506, 0.002487598593030167, 9.270680222256317e-9, 9.270680222256317e-9, 0.03765847257266328, 9.270680222256317e-9, 0.03875168160762235, 0.02186701987253941, 0.045073356493966904, 0.04066017808910624, 0.05409466623983413, 9.270680222256317e-9, 0.008482786074719677, 0.01383207435220474, 0.008235327325641292, 0.10826587003065122, 0.07869659396912074, 0.011551409815667813, 0.10385852300419987, 0.0023051687617687915, 0.000005222112141027126, 0.0413375653294334, 0.006779954385409435, 0.035752438361620495, 0.000014594098479972217, 0.01783778958778462, 0.06867862491934301, 0.00016259560229801162, 0.0000031537151457337327, 0.003345844811277029, 0.00001944564417626176, 0.00021738237251835298 ]
[ 5521, 19869, 2150, 1996, 2911, 1005, 1055, 7991, 2961, 1012, 102, 101, 5902, 8040, 21030, 2099, 9601, 1037, 27070, 2096, 2014, 2905, 3719, 2275, 2041, 2006, 6236, 23530, 3136, 1999, 1996, 4448, 1012, 5902, 8040, 21030, 2099, 2001, 6310, 2076, 1996, 2220, 2706, 1997, 3878, 1010, 2164, 1996, 8272, 1997, 1037, 2047, 1010, 22438, 12528, 4842, 6812, 1012, 1996, 3082, 3094, 3578, 2001, 2999, 2007, 1037, 9442, 3252, 1010, 1998, 2016, 2001, 28667, 24938, 2004, 1037, 3082, 10844, 1012, 3176, 3424, 1030, 1011, 1030, 2948, 4409, 2020, 2036, 5361, 1010, 2247, 2007, 7172, 7217, 3941, 1012, 2006, 2539, 1516, 2322, 2251, 7148, 10544, 4457, 5902, 8040, 21030, 2099, 1998, 1996, 17224, 14841, 14536, 8838, 1010, 2295, 2027, 3478, 2000, 3556, 2151, 4978, 1012, 2006, 2676, 2251, 1010, 1996, 2911, 2001, 8793, 3201, 2005, 2326, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 4448, 4066, 2666, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 5902, 8040, 21030, 2099, 7434, 1999, 2255, 3878, 2006, 2014, 2034, 4337, 4066, 2666, 1012, 2006, 1996, 2305, 1997, 2861, 2255, 2016, 5707, 2083, 1996, 5842, 11195, 1998, 3631, 2046, 1996, 2330, 4448, 1012, 2014, 1038, 1030, 1011, 1030, 3280, 23808, 2557, 19115, 3941, 4453, 1996, 9549, 1044, 2595, 1030, 1011, 1030, 6391, 1010, 8354, 2013, 10475, 6846, 9676, 1012, 5902, 8040, 21030, 2099, 1005, 1055, 19027, 3527, 2712, 26634, 2284, 1996, 9549, 2006, 1019, 2281, 3878, 1010, 1996, 4273, 6432, 10844, 7220, 15333, 29074, 3016, 1010, 1996, 7082, 8620, 2005, 1996, 9549, 1010, 3843, 1037, 3189, 1997, 1996, 2446, 27826, 1998, 4692, 2000, 4652, 2014, 2013, 7866, 1996, 9549, 1012, 1996, 9549, 2001, 3641, 2000, 8040, 20097, 2104, 3104, 1997, 1037, 5610, 3898, 1012, 5902, 8040, 21030, 2099, 1005, 1055, 2034, 16183, 6767, 3195, 4978, 2006, 15333, 29074, 3016, 1010, 4487, 3736, 9709, 2014, 9949, 3941, 1998, 9602, 6718, 1012, 10986, 2013, 2014, 2117, 16183, 6767, 4930, 1996, 2958, 1998, 2730, 2014, 3474, 1010, 3487, 10768, 6914, 1012, 5902, 8040, 21030, 2099, 2855, 7569, 15333, 29074, 3016, 1010, 2021, 1996, 8536, 3039, 1996, 3484, 1997, 1996, 9549, 2000, 4019, 1012, 1996, 7074, 7569, 2069, 2274, 1997, 1996, 9549, 1005, 1055, 4261, 3719, 1012, 102, 101, 2006, 2324, 2285, 1010, 5902, 8040, 21030, 2099, 8567, 1998, 7569, 1996, 18097, 2911, 4241, 10997, 2050, 1010, 1997, 2070, 1022, 1030, 1010, 1030, 3515, 2487, 2146, 6197, 1006, 1022, 1030, 1010, 1030, 6535, 2692, 1056, 1007, 13508, 1012, 1996, 2911, 2741, 2125, 1037, 12893, 4742, 1010, 2029, 1996, 2446, 27826, 9969, 3039, 1010, 2000, 4009, 2329, 3987, 2749, 2000, 1996, 2181, 1012, 1047, 5521, 19869, 2359, 2000, 17256, 2329, 15964, 2000, 1996, 2181, 2000, 4009, 3086, 2185, 2013, 5902, 5099, 4842, 1010, 2029, 2018, 2074, 15284, 1996, 5842, 11195, 1012, 1996, 2948, 11363, 7220, 18085, 1998, 24127, 1010, 1996, 16722, 15367, 7430, 1010, 21167, 1010, 1998, 5202, 1010, 1998, 1996, 4273, 6432, 10844, 25366, 3317, 28314, 2094, 2000, 5690, 2091, 1996, 2446, 27826, 1010, 2021, 2016, 3449, 13936, 1996, 2329, 1012, 102, 101, 2090, 2656, 2285, 1998, 1021, 2254, 1010, 5902, 8040, 21030, 2099, 20558, 2098, 2007, 1996, 4425, 3719, 13926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.09917973791639144, 0.04192610175705363, 0.07056822275861704, 0.08252916376738459, 0.00009136217858076295, 0.0009813040414381163, 0.03904457197206427, 0.00017674168999502117, 0.0009776337086838034, 0.1433705829387125, 0.037121021413065634, 0.00016112368593341653, 0.0000032740153762739565, 0.0729190367256464, 0.0006431596063362701, 0.018612080322552127, 0.002129536602143642, 0.00033669671947540264, 0.03190483396344211, 0.004286044584112417, 0.0018015850330996511, 0.0001589953907518921, 0.00007109803422323587, 0.039663415280650864, 0.00012273979288296275, 0.0010586959180879263, 0.02651542470495988, 0.001242964004114578, 0.007040215021785705, 0.002405056845006123, 0.00016396993780608336, 0.025350991323052765, 0.00013450748369393976, 0.00031367611426873703, 0.022546568436552228, 0.05589967567298178, 0.0034927325427846104, 0.018096050224334158, 0.0013497976521844003, 0.005339647000883321, 0.003336032914226434, 0.0028720131692866174, 0.05448724036756994, 0.00005741459270670142, 0.04610302847998878, 0.03116808513039643, 0.0000473142260753963, 0.0017557959205237856, 0.0004056342882614488, 0.000037404129854716074 ]
[ 10665, 1998, 9944, 8151, 1010, 1996, 9830, 10844, 15321, 1010, 1998, 1996, 11580, 4241, 10997, 2050, 1998, 2358, 5668, 17713, 1012, 1996, 10642, 4015, 2070, 5174, 5895, 2000, 2358, 5668, 17713, 2096, 2027, 25416, 16284, 2098, 2013, 13926, 10665, 1998, 9944, 8151, 1012, 2090, 2324, 1998, 2322, 2254, 5902, 8040, 21030, 2099, 4110, 2093, 6035, 6432, 3719, 2561, 2989, 2324, 1030, 1010, 1030, 6421, 2620, 7977, 4236, 6197, 1006, 24665, 2102, 1007, 1010, 2164, 1996, 5046, 3514, 20135, 5472, 12879, 24876, 1012, 2016, 2985, 4234, 3878, 2012, 2712, 1999, 1996, 3054, 1030, 1011, 1030, 4448, 1010, 2195, 3634, 2661, 2013, 9822, 4830, 12731, 25311, 2050, 1010, 2077, 2437, 1037, 2005, 4710, 2046, 1996, 2796, 4153, 1999, 2337, 3874, 1012, 102, 101, 2006, 2403, 2337, 1010, 5902, 8040, 21030, 2099, 20558, 2098, 2007, 1996, 9830, 10844, 16637, 1998, 1996, 4425, 2911, 9092, 10224, 7959, 4877, 2055, 1015, 1030, 1010, 1030, 2199, 22484, 1006, 1015, 1030, 1010, 1030, 7706, 2463, 1025, 1015, 1030, 1010, 1030, 3263, 2771, 1007, 2264, 1997, 11934, 1012, 1996, 10642, 24501, 6279, 24759, 6340, 2013, 9092, 10224, 7959, 4877, 1998, 10573, 2592, 2006, 6035, 6432, 4026, 1999, 1996, 2181, 1010, 20254, 2194, 2006, 2459, 2337, 1012, 5902, 8040, 21030, 2099, 2059, 21734, 2000, 1996, 27438, 2167, 1997, 11934, 1010, 2073, 2016, 2179, 2048, 6432, 6470, 2007, 2014, 19027, 3527, 14257, 26634, 1012, 2016, 2165, 1996, 1020, 1030, 1010, 1030, 5585, 2549, 24665, 2102, 3514, 20135, 2329, 8175, 2004, 1037, 3396, 1998, 7569, 1996, 1016, 1030, 1010, 1030, 3429, 2575, 24665, 2102, 3306, 1030, 1011, 1030, 5210, 5999, 24665, 14031, 9488, 2015, 1012, 1037, 2353, 2911, 1010, 1996, 1021, 1030, 1010, 1030, 19289, 24665, 2102, 3010, 10844, 1010, 3266, 2000, 4604, 1037, 12893, 4742, 2077, 5902, 8040, 21030, 2099, 7569, 2014, 2006, 2538, 2337, 1012, 1996, 27826, 8567, 1998, 7569, 1037, 2959, 2911, 1996, 2206, 2154, 1010, 1996, 1016, 1030, 1010, 1030, 5139, 2475, 24665, 2102, 3803, 18027, 2743, 2696, 6279, 5685, 8405, 2290, 1010, 2295, 2016, 2205, 2001, 2583, 2000, 4604, 1037, 12893, 4742, 2077, 2016, 7569, 1012, 102, 101, 1996, 2329, 10844, 7220, 6785, 1010, 2029, 2001, 24248, 1999, 1996, 2181, 1010, 2363, 2119, 7696, 2013, 5902, 8040, 21030, 2099, 1005, 1055, 5694, 1012, 6785, 3390, 8967, 2948, 2008, 7282, 5902, 8040, 21030, 2099, 2006, 2570, 2337, 1012, 3580, 5902, 6798, 12203, 22536, 1010, 1996, 3474, 1997, 1996, 2264, 9429, 2276, 1010, 7333, 1996, 6839, 24127, 1998, 16722, 4880, 4665, 1010, 14110, 1010, 13835, 1010, 19322, 1010, 1998, 1996, 2827, 20287, 3022, 13107, 2000, 3693, 1996, 5690, 1012, 1047, 5521, 19869, 2357, 2000, 1996, 2148, 1030, 1011, 1030, 2264, 2000, 26399, 2010, 7323, 2869, 1010, 4285, 1996, 2148, 4448, 2011, 1017, 2233, 1012, 1996, 2329, 1010, 5564, 1010, 2018, 4704, 1996, 5690, 2006, 2423, 2337, 2043, 2009, 2150, 3154, 2008, 5902, 8040, 21030, 2099, 2018, 9633, 2013, 1996, 2181, 1012, 102, 101, 5902, 8040, 21030, 2099, 2059, 7434, 27592, 1010, 4911, 2083, 1996, 5842, 11195, 2006, 2656, 1516, 2676, 2233, 1998, 9345, 4667, 1996, 16722, 11464, 1998, 7387, 1012, 2016, 2584, 12674, 1010, 5120, 2006, 2382, 2233, 1010, 2073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0015034908062936101, 0.004577421399114118, 0.00782792434070172, 4.3871020665370387e-7, 0.0017003298810457784, 0.011127293584175402, 0.0000190716951873177, 0.00017352997069694964, 0.000016322214714071935, 0.0000638750536082036, 0.007250382078093433, 0.017758134778904623, 0.09966301908301449, 0.0030888966863593216, 0.028412980913336158, 0.01504635292216638, 0.06749318785225185, 0.10377553258110196, 0.09182023814032275, 0.007609099959686476, 0.003448128981066327, 0.008582703499957451, 0.0013033994599096507, 0.0007628503526929895, 0.02916603109926057, 0.0022727384676748323, 0.0035209086604339563, 0.005184462033448072, 0.0028845450810364185, 0.00027062247241311165, 0.1009950671907633, 0.06966400374390228, 0.00631713726216281, 0.04094176170821469, 0.0007911451736514564, 0.05393907836854582, 0.000056818234037883234, 0.07699365448637681, 0.010594775461736188, 0.0034660692187685246, 0.016325034348412436, 0.004353991416794541, 0.002784217287324419, 0.06937880582327399, 0.002809924254429903, 0.000019342515337351865, 0.0006794872219922401, 0.000603732080715438, 0.000006549790631583085, 0.012955491654053616 ]
[ 2016, 2985, 1037, 2154, 1999, 1996, 11844, 16917, 2546, 24876, 1012, 1037, 9799, 8620, 2587, 1996, 2911, 2005, 1996, 8774, 2000, 20963, 1010, 2029, 2027, 2584, 2006, 1015, 2258, 1012, 1999, 1996, 2607, 1997, 2014, 23530, 3169, 1010, 2016, 2018, 21734, 2058, 4805, 1030, 1010, 1030, 2199, 11339, 2661, 1006, 5594, 1030, 1010, 1030, 2199, 2463, 1007, 1998, 7569, 9171, 6432, 3719, 2005, 1037, 2561, 1997, 12104, 1030, 1010, 1030, 20802, 24665, 2102, 1012, 2016, 2001, 2011, 2521, 1996, 2087, 3144, 2446, 3007, 2911, 6236, 27826, 1997, 1996, 2972, 2162, 1012, 2044, 4192, 2000, 2762, 1010, 1047, 5521, 19869, 2187, 1996, 2911, 1998, 2001, 2999, 2011, 1047, 2480, 2015, 9070, 2033, 10497, 5054, 1030, 1011, 1030, 8945, 7317, 7520, 1999, 2238, 3874, 1012, 1996, 3279, 1997, 1996, 17224, 22029, 1999, 2089, 3874, 1010, 1998, 2062, 14780, 1010, 1996, 2548, 3212, 1005, 1055, 6215, 1997, 1996, 2446, 4425, 2911, 2897, 1999, 1996, 10530, 1997, 1996, 22029, 3169, 3140, 1037, 3740, 4448, 23530, 3169, 2005, 5902, 8040, 21030, 2099, 1998, 2014, 2905, 11320, 5753, 5004, 2012, 1996, 2203, 1997, 3874, 2000, 2022, 4704, 1012, 2006, 1018, 1516, 1022, 2244, 1010, 5902, 8040, 21030, 2099, 2001, 4780, 2333, 2000, 9977, 1012, 2045, 1010, 2006, 1019, 1998, 1022, 2244, 1010, 2053, 1012, 3938, 3704, 7148, 1010, 6055, 2007, 10321, 1038, 1030, 1011, 1030, 2459, 3909, 7841, 10544, 1010, 5614, 1037, 3940, 1997, 7736, 4491, 2006, 1996, 2911, 1012, 2006, 1022, 2244, 1010, 1996, 2911, 2187, 9977, 1998, 2513, 2000, 25430, 3170, 25574, 2063, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 10813, 2000, 5120, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 2538, 2337, 3758, 1010, 5902, 8040, 21030, 2099, 1010, 1996, 3082, 10844, 26927, 14191, 29273, 1010, 1998, 1996, 13242, 1062, 2549, 2957, 28236, 10431, 1010, 1062, 2629, 2703, 19108, 2072, 1010, 1062, 17788, 1010, 1062, 2581, 12224, 8040, 14490, 5804, 1010, 1998, 1062, 16932, 8896, 1045, 7295, 21734, 2000, 5120, 1012, 2044, 7458, 4780, 1999, 11844, 16917, 2546, 24876, 1010, 1996, 3719, 8979, 2006, 2000, 26331, 1012, 2006, 2603, 2337, 1010, 1996, 2329, 6982, 26515, 9862, 2098, 26927, 14191, 29273, 1010, 4786, 3809, 4053, 1012, 1996, 2034, 3169, 1999, 5120, 1999, 2029, 5902, 8040, 21030, 2099, 2165, 2112, 2001, 3169, 5811, 9050, 18098, 5575, 1010, 1999, 2251, 3758, 1012, 2006, 1016, 2251, 1010, 1996, 2911, 4066, 6340, 2004, 2112, 1997, 1996, 3535, 2000, 19115, 10162, 9549, 1052, 4160, 1030, 1011, 1030, 2459, 1012, 5902, 8040, 21030, 2099, 1998, 11320, 5753, 5004, 2719, 2028, 2177, 2096, 14841, 14536, 8838, 1998, 5902, 5099, 4842, 3605, 2178, 1012, 2096, 4372, 2799, 2000, 1996, 20558, 2391, 1010, 11320, 5753, 5004, 1998, 2093, 13242, 2743, 29406, 1010, 6932, 1996, 2972, 2177, 2000, 10824, 1996, 3169, 1012, 5902, 8040, 21030, 2099, 2001, 12230, 2000, 3693, 14841, 14536, 8838, 1998, 5902, 5099, 4842, 1999, 23647, 2546, 24876, 1012, 1996, 2329, 11156, 1996, 2446, 6712, 1998, 3641, 1996, 9549, 2000, 8040, 20097, 1012, 5204, 2008, 4474, 2018, 2042, 2439, 1010, 1996, 7074, 3631, 2125, 1996, 3302, 2886, 1998, 2357, 1996, 6215, 1997, 1052, 4160, 1030, 1011, 1030, 2459, 2058, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000029336046747647347, 0.004883987000856382, 0.003099009242277241, 0.09240841624801938, 0.001059185598647587, 0.04143489100081061, 0.059204821760598235, 0.003963570745307615, 0.00001113076377786329, 0.10559641767026205, 0.0005008677448381917, 0.000008774689679889205, 0.006832421281947657, 0.02974262156105642, 0.006692291707592241, 0.00004038266833466138, 0.048239986974851726, 0.00015530189713342378, 0.04354628187586008, 0.00010272190361518767, 0.03718837969385551, 0.004783493470621588, 0.08646973528976981, 0.001363997339341198, 0.05518635402282646, 0.000012719968397244067, 0.0392594489121425, 0.000058762665695249397, 0.013525245926436204, 0.03656891522738953, 0.011215718724817903, 0.00006472387390633819, 0.08655058200113197, 0.0197304369635481, 0.026303706871713083, 0.00861571059985248, 0.01768108744720457, 0.016676373747747924, 0.00002977022622338496, 0.04805143217223579, 5.353562264381616e-7, 0.00008668237651407463, 0.0000755812364450874, 0.0003034977367931391, 0.0028439343469116533, 0.000025061508033533075, 0.00012768400014879233, 0.03059543655142505, 0.008856479976631264, 0.00019609338379998674 ]
[ 1996, 1057, 1030, 1011, 1030, 6242, 1998, 17740, 1012, 3174, 1030, 1011, 1030, 2176, 1997, 1996, 9549, 1005, 1055, 4228, 1030, 1011, 1030, 2274, 19003, 2020, 10417, 1012, 102, 101, 1999, 2257, 3758, 1010, 2016, 4146, 3169, 8814, 11563, 3122, 1010, 1037, 4066, 2666, 2046, 1996, 13173, 2712, 2000, 6970, 29201, 3354, 7829, 1998, 2886, 7889, 1997, 4495, 1012, 1996, 3091, 1997, 1996, 3260, 1998, 1996, 12103, 2920, 3653, 20464, 13936, 1037, 9799, 8620, 2005, 1996, 3169, 1025, 2093, 13242, 2052, 8620, 5902, 8040, 21030, 2099, 2127, 2027, 2584, 6846, 3148, 27838, 19968, 3148, 1010, 2012, 2029, 2391, 2027, 2052, 2709, 2000, 5120, 1012, 2048, 1057, 1030, 1011, 1030, 6242, 1517, 1057, 1030, 1011, 1030, 22582, 1998, 1057, 1030, 1011, 1030, 3429, 2575, 1517, 6477, 3709, 1996, 13173, 4796, 1998, 1996, 26536, 2953, 11195, 1012, 1996, 7074, 2761, 3832, 2000, 4604, 5902, 8040, 21030, 2099, 2007, 2014, 2905, 2911, 11320, 5753, 5004, 1010, 2021, 2144, 1996, 3732, 2018, 2448, 29406, 1996, 3025, 3204, 1010, 2016, 2001, 20165, 2005, 1996, 3169, 1012, 102, 101, 1996, 6515, 2933, 2170, 2005, 9384, 2557, 4223, 2000, 5676, 4474, 2071, 2022, 5224, 1012, 2023, 3223, 2033, 10497, 5054, 1030, 1011, 1030, 8945, 7317, 7520, 2000, 2031, 2561, 8608, 1998, 6515, 2491, 1997, 2010, 2911, 1025, 5370, 1030, 1011, 1030, 2241, 10954, 2052, 2022, 4039, 2000, 3622, 1996, 3260, 1012, 2006, 2385, 2257, 1010, 5902, 8040, 21030, 2099, 1998, 2014, 9799, 8620, 2187, 6583, 2099, 13309, 2006, 1037, 2607, 2000, 3413, 2000, 1996, 2167, 1997, 6846, 3148, 27838, 19968, 3148, 1012, 2588, 5738, 1996, 13173, 2712, 1010, 2016, 8567, 3082, 3256, 1025, 1999, 2804, 2000, 6575, 2005, 6432, 7829, 1010, 1996, 19027, 3527, 14257, 11751, 2001, 2109, 2000, 7464, 10425, 2083, 1996, 3256, 4249, 1012, 2006, 2423, 2257, 1010, 2016, 8567, 1996, 3354, 3256, 21204, 9033, 17706, 3148, 7724, 1012, 5902, 8040, 21030, 2099, 7569, 1996, 3256, 21204, 1010, 2021, 2025, 2077, 2016, 2741, 1037, 12893, 4742, 1012, 1996, 2446, 2911, 2059, 2357, 2148, 1010, 1998, 2048, 2420, 2101, 1010, 3369, 2125, 1996, 3417, 1997, 4487, 26579, 1012, 5902, 8040, 21030, 2099, 5591, 2048, 3719, 1999, 1996, 3417, 1998, 5806, 2098, 6496, 4128, 1012, 2033, 10497, 5054, 1030, 1011, 1030, 8945, 7317, 7520, 2641, 6016, 1037, 4899, 2283, 16145, 1010, 2021, 7493, 2013, 3354, 5370, 10274, 6427, 2032, 2000, 10824, 1996, 2933, 1012, 2044, 4911, 2125, 1996, 10400, 1010, 2033, 10497, 5054, 1030, 1011, 1030, 8945, 7317, 7520, 2787, 2000, 2709, 2000, 6583, 2099, 13309, 1012, 2016, 2584, 3417, 2006, 2382, 2257, 2302, 2383, 4719, 2151, 3278, 14152, 1012, 102, 101, 2006, 2603, 2255, 5902, 8040, 21030, 2099, 1010, 14841, 14536, 8838, 1998, 1996, 13242, 1062, 2549, 2957, 28236, 10431, 1010, 1062, 16048, 8896, 14925, 3683, 6392, 2102, 1010, 1062, 21926, 1010, 1062, 22407, 1010, 1998, 1062, 24594, 2187, 22132, 2368, 3016, 1998, 8979, 2000, 26331, 1012, 2045, 1010, 14841, 14536, 8838, 3030, 2005, 10315, 1010, 2096, 5902, 8040, 21030, 2099, 1998, 1062, 22407, 2506, 2006, 2000, 2762, 1012, 10424, 29107, 25970, 2912, 23270, 2319, 10728, 24665, 21436, 2366, 2004, 1996, 2911, 1005, 1055, 3772, 3474, 2012, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.10659075358688977, 0.034065334990498145, 0.000026923001145678824, 0.04247826459092384, 0.000003639163650735555, 0.00007485049529194029, 0.09754911913568881, 0.000039706895464393935, 0.011437595713761427, 0.01135180965203749, 0.0002954803944509231, 0.018049722342801753, 0.012958842383169937, 0.031128611731989594, 0.0010584474535882142, 0.00022292093177425545, 0.0009684107998990518, 0.004106290957829083, 0.02687430134903159, 0.0002669413055200623, 0.03588435801023448, 0.057073409851222175, 0.018692816375245044, 0.028170487575815653, 0.00003587055744582633, 0.0007719121609486942, 0.021965471249572967, 7.744244767698685e-9, 0.006014375324391442, 0.0003212917442764017, 0.09429309226760399, 0.0004279354002430008, 0.00008333087349388675, 0.0056854575608433515, 0.02418264903334774, 0.00010490910330232231, 0.03490407419133412, 0.00006282590317141848, 0.000001068536171911952, 0.0000038256059114583806, 0.044125483287407764, 0.029375668800085644, 0.02667204632430854, 0.0000019600568080079864, 0.1033177450995471, 0.0003764674169239885, 0.05606838951479727, 0.000036295474949216014, 0.011797450011108268, 0.0000013580698368517154 ]
[ 2203, 1997, 2281, 1012, 1999, 2285, 3758, 1010, 5902, 8040, 21030, 2099, 2513, 2000, 9070, 7377, 8159, 2005, 2350, 18181, 1010, 2073, 2016, 2001, 4457, 1998, 3621, 5591, 2011, 7148, 10544, 1012, 8821, 1010, 5902, 8040, 21030, 2099, 2333, 2000, 1996, 2625, 6086, 3417, 1997, 25430, 3170, 25574, 2063, 1012, 1999, 2337, 3826, 1010, 1047, 2480, 2015, 2957, 12211, 2063, 1030, 1011, 1030, 12211, 2165, 3094, 1997, 1996, 2911, 1012, 2127, 1996, 2203, 1997, 3646, 5902, 8040, 21030, 2099, 2001, 2112, 1997, 1996, 4170, 2731, 2177, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 2709, 2000, 1996, 11275, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1047, 2480, 2015, 10728, 1030, 1011, 1030, 10302, 16215, 9013, 17545, 1010, 1996, 2911, 1005, 1055, 2345, 3474, 1010, 2165, 3094, 1997, 5902, 8040, 21030, 2099, 1999, 2258, 3646, 1012, 2006, 2570, 2281, 3646, 1010, 5902, 8040, 21030, 2099, 1010, 1996, 13242, 1062, 17788, 1998, 1062, 19481, 1010, 1998, 1996, 3416, 9862, 4049, 17150, 7653, 1996, 10844, 26927, 14191, 29273, 1998, 2195, 13242, 4637, 2446, 2749, 3554, 1996, 15269, 2006, 1996, 2479, 1997, 9808, 2884, 1999, 1996, 11275, 1012, 1996, 3354, 2250, 2486, 3390, 2195, 2250, 4491, 2006, 1996, 2446, 2749, 1010, 2035, 1997, 2029, 2020, 5147, 16360, 21148, 2011, 3082, 3424, 1030, 1011, 1030, 2948, 2543, 1012, 1996, 2911, 1005, 1055, 19027, 3527, 14257, 11751, 2001, 2915, 2091, 1010, 2174, 1012, 2006, 1996, 2305, 1997, 2603, 1516, 2484, 2281, 1010, 1996, 2446, 3987, 2749, 2949, 1996, 13982, 1997, 1996, 2479, 1012, 1999, 2035, 1010, 1018, 1030, 1010, 1030, 6353, 2549, 3629, 2020, 13377, 2013, 1996, 2479, 1012, 102, 101, 1999, 2220, 2337, 3386, 1010, 5902, 8040, 21030, 2099, 2768, 2125, 3520, 3122, 2007, 2195, 9862, 6242, 1999, 2490, 1997, 2446, 2749, 3554, 3354, 9849, 1012, 2006, 1023, 2337, 1010, 1996, 3719, 2211, 5806, 2075, 3354, 4460, 1012, 2090, 2324, 1998, 2484, 2337, 1010, 2446, 2749, 3390, 1037, 2334, 27835, 1025, 5902, 8040, 21030, 2099, 1998, 1996, 9862, 6242, 3024, 4893, 2490, 1010, 14126, 3354, 4460, 2379, 21877, 23274, 1998, 7977, 1030, 1011, 1030, 4931, 24463, 26549, 1012, 1996, 2446, 2886, 8184, 5854, 1996, 2455, 4434, 2000, 12849, 25518, 11711, 1012, 1996, 2911, 1005, 1055, 4409, 2020, 6649, 6247, 2041, 2011, 2233, 1998, 1999, 2342, 1997, 7192, 1012, 2006, 1022, 2233, 1010, 5902, 8040, 21030, 2099, 7745, 1996, 2789, 11275, 2000, 2031, 2014, 4409, 2128, 18194, 1999, 20963, 1025, 2016, 3344, 5385, 6831, 8711, 1998, 3263, 5303, 3548, 1012, 2019, 10599, 2098, 3067, 3790, 8729, 2014, 2013, 4285, 20963, 1010, 1998, 2061, 2016, 4895, 17468, 2014, 5467, 1999, 25430, 3170, 25574, 2063, 1012, 2750, 2014, 6247, 1030, 1011, 1030, 2041, 3282, 13826, 1010, 1996, 2911, 2059, 5806, 2098, 3354, 2749, 2648, 12849, 22927, 2127, 2016, 2109, 2039, 2014, 3588, 9290, 1012, 102, 101, 1996, 2911, 2059, 8209, 8711, 1998, 2187, 25430, 3170, 25574, 2063, 1025, 2016, 5147, 22149, 2094, 1996, 3067, 15155, 2006, 1996, 2126, 2000, 20963, 1010, 7194, 2006, 2324, 2233, 1012, 2014, 8665, 14493, 2018, 2049, 4409, 2999, 2012, 1996, 11605, 2057, 25074, 13858, 2011, 2220, 2258, 1012, 2076, 1996, 7192, 2832, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000010289122322379254, 0.00024575785168702205, 8.237184793828302e-9, 0.039969605039149536, 0.00002605683469256147, 0.004240274437835313, 0.1433412784411308, 0.00022653292966958824, 0.0038267926954280444, 0.0000990270213919564, 0.002136780351933086, 0.0017270617499871768, 0.02204403697554343, 0.000005376622615708887, 0.03702594496697636, 0.005177577199785874, 0.00007271029660078876, 0.000043551812026627306, 0.0030296309686360483, 0.02035790192625048, 0.0010521863887872687, 0.08947735063044056, 0.0014153588383324848, 0.0682511065219267, 0.004972145980439843, 5.050835045982282e-7, 0.037320084618535955, 0.013085818084229137, 0.0002560218863759053, 0.08379318441632408, 0.029677394170588144, 0.004015844456148374, 0.0048366922653457906, 8.237184793828302e-9, 0.025600777167839664, 0.06636422213121951, 0.0019668496843785106, 0.00003073609978192867, 0.02291653013995568, 0.012123998867806577, 0.06757955717830703, 0.01606584833050226, 0.002210076910807417, 0.006606283532259459, 0.09143789051666529, 0.00032253022372941245, 0.01795695708969581, 0.0301490478403356, 0.016869572611216726, 0.000039224616487917054 ]
[ 2087, 1997, 1996, 2911, 1005, 1055, 3626, 2253, 16145, 1012, 2006, 1996, 2305, 1997, 1023, 2258, 3386, 1010, 1037, 2236, 7148, 8647, 8118, 2011, 2058, 3998, 2948, 4930, 1996, 6496, 1999, 20963, 1012, 5902, 8040, 21030, 2099, 2001, 2718, 2011, 2274, 4206, 11097, 9767, 1998, 9700, 3550, 1012, 2016, 2001, 6822, 3714, 2039, 2005, 15121, 2044, 1996, 2203, 1997, 1996, 2162, 1010, 2295, 2112, 1997, 1996, 6738, 2001, 2187, 1999, 2173, 1998, 3950, 2007, 17538, 2013, 1996, 2886, 1999, 1996, 2810, 1997, 1037, 2047, 21048, 1012, 1996, 2193, 1997, 8664, 2013, 2014, 3279, 2003, 4242, 1012, 102, 101, 102, 101, 102, 101, 1027, 19820, 7100, 1010, 2047, 3414, 1027, 102, 101, 102, 101, 19820, 7100, 2003, 1037, 8217, 10357, 10246, 1999, 1996, 9976, 2555, 1997, 2047, 3414, 1005, 1055, 2148, 2479, 1012, 2009, 2003, 4350, 2006, 1996, 9976, 8575, 1010, 2006, 1996, 2157, 2924, 1997, 1996, 10958, 11151, 2050, 2314, 1010, 2055, 2459, 3717, 1006, 2340, 2771, 1007, 9514, 2013, 10958, 11151, 2050, 1012, 2009, 2001, 2631, 2011, 4937, 16257, 8445, 2001, 2239, 1999, 1996, 3054, 1030, 1011, 1030, 14896, 1998, 2315, 2011, 2032, 2044, 2010, 2214, 2188, 19820, 7100, 1999, 2148, 1037, 12541, 7430, 1010, 3885, 1012, 2001, 2239, 2275, 2009, 2039, 2004, 1037, 2944, 2352, 2005, 1996, 3667, 1997, 2010, 2312, 8351, 3888, 1012, 1996, 2313, 1997, 1996, 2352, 6601, 1999, 1996, 3054, 1030, 1011, 1030, 12751, 2077, 1996, 2236, 19396, 7531, 1037, 2091, 22299, 2005, 1996, 2352, 1012, 2001, 2239, 2018, 3517, 2005, 1996, 2777, 2232, 8159, 3589, 2737, 2000, 2448, 2627, 19820, 7100, 1010, 2021, 1996, 2240, 2001, 2328, 1999, 6756, 2006, 2019, 12139, 2116, 2661, 2185, 1010, 2029, 3303, 19820, 7100, 2313, 2000, 9885, 1012, 102, 101, 2093, 1997, 1996, 2434, 3121, 1997, 19820, 7100, 4606, 1996, 4796, 4580, 2012, 2001, 2239, 1005, 1055, 14473, 2020, 3833, 1997, 5509, 1010, 1998, 2027, 2145, 4839, 2000, 2023, 2154, 1012, 2028, 1997, 2216, 3121, 1010, 2358, 2198, 1005, 1055, 2277, 1010, 2003, 5068, 2011, 4348, 2047, 3414, 2004, 1037, 4696, 2462, 4348, 2311, 1010, 1998, 1996, 4796, 4580, 2003, 1037, 2688, 2008, 2003, 2330, 2006, 5227, 1012, 2651, 1010, 2261, 3121, 4839, 1999, 1996, 2352, 1010, 2021, 1996, 5337, 9621, 1997, 20859, 2145, 6526, 1010, 3228, 1996, 4292, 1037, 11951, 3311, 1012, 102, 101, 102, 101, 1027, 1027, 10505, 1027, 1027, 102, 101, 102, 101, 19820, 7100, 2003, 1037, 2235, 4093, 2090, 1996, 10958, 11151, 2050, 19820, 7100, 2777, 2232, 8159, 2346, 1998, 1996, 10958, 11151, 2050, 2314, 1010, 2284, 12875, 3620, 1006, 28066, 3027, 1007, 2682, 2712, 2504, 1012, 2009, 2003, 2055, 2459, 3717, 1006, 2340, 2771, 1007, 2013, 1996, 2237, 1997, 10958, 11151, 2050, 1998, 2538, 3717, 1006, 2410, 2771, 1007, 2013, 2777, 2232, 8159, 1012, 1996, 2176, 6058, 4534, 1010, 2028, 1997, 2029, 2003, 1996, 10958, 11151, 2050, 19820, 7100, 2777, 2232, 8159, 2346, 1010, 2433, 1037, 8132, 9351, 9314, 2007, 1996, 6493, 2217, 2012, 3263, 3620, 1006, 20982, 3027, 1007, 1012, 2048, 4722, 4925, 2448, 2012, 2157, 12113, 2000, 2028, 2178, 1010, 16023, 1996, 2181, 2046, 2176, 29371, 2015, 1012, 1996, 6840, 1997, 1996, 4722 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.00006032123014116052, 0.00775469876321466, 2.960049198848624e-7, 0.00024296616193693164, 0.07564236202278202, 0.00452537154246913, 0.0097035959866195, 0.009081455617266618, 0.002426045600749942, 0.00008957222985661558, 0.016492556770343652, 0.010125158655068607, 0.0016500534876217735, 0.04335249945376989, 0.057480475493751286, 0.003069145472929114, 0.05469137896637649, 0.0076757838181463435, 0.0125861105780087, 0.04669682695848626, 0.053883023416868785, 0.000019348019663237813, 0.004761649964927112, 0.0003929384607581136, 0.004841374604659881, 0.06804502754276544, 0.029237661619223976, 0.014756079741955263, 0.06610012413504211, 0.018642413316492832, 0.0010154577102785506, 0.0001009055561165027, 0.026814671697655924, 0.00012026848177541157, 0.0005092763096093646, 0.03278947115462703, 0.007931323735622412, 0.000011852937224810458, 0.020918903615571215, 0.09955983528694637, 0.00003231524501960934, 0.04902267630186786, 0.0019504467925059983, 0.00020795131392308021, 0.0070858093681112405, 0.10426718746658059, 0.015296370400848453, 0.006230647401252114, 0.0019930610311307074, 0.00011525255651727177 ]
[ 4925, 3596, 1996, 3006, 2173, 1012, 102, 101, 4237, 2013, 1996, 2364, 2346, 1010, 2045, 2024, 2274, 20859, 1010, 2169, 8461, 1999, 2049, 2219, 2427, 1998, 2315, 11914, 1024, 6116, 1010, 3769, 8017, 1010, 16421, 1010, 14123, 1010, 1998, 25353, 28727, 5686, 1012, 1996, 3392, 1030, 1011, 1030, 7732, 20859, 2507, 19820, 7100, 1037, 11951, 3311, 1012, 2001, 2239, 2018, 3628, 8461, 1999, 2019, 5866, 5418, 2105, 1996, 3006, 2675, 1012, 3901, 2069, 4384, 1999, 3339, 2043, 10523, 2019, 9682, 6302, 2008, 2216, 3628, 2433, 2054, 3544, 2000, 2022, 1996, 2093, 7925, 1997, 7124, 1010, 2007, 1996, 2048, 5110, 20859, 4298, 6454, 9355, 1037, 13675, 14194, 10128, 7646, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 2001, 2239, 11367, 2013, 3885, 2000, 2047, 3414, 1999, 2397, 7582, 1012, 1999, 2337, 7845, 2030, 2258, 6940, 1006, 4216, 8137, 1007, 1010, 2002, 4149, 1996, 18496, 2239, 8351, 2448, 1006, 2448, 12904, 1007, 1999, 3054, 1030, 1011, 1030, 9976, 1012, 18496, 2239, 2001, 1037, 2322, 1030, 1010, 1030, 2199, 4631, 1006, 6282, 2463, 2475, 1007, 2448, 2006, 1996, 2148, 2924, 1997, 1996, 10958, 11151, 2050, 2314, 1012, 1996, 2455, 2018, 2034, 2042, 2579, 2039, 2011, 2198, 2534, 1010, 2021, 2018, 2904, 6095, 2195, 2335, 2077, 2001, 2239, 4149, 2009, 1010, 2164, 1015, 1030, 1010, 1030, 5539, 4631, 1006, 1019, 1030, 1012, 1030, 1015, 2463, 2475, 1007, 1997, 2489, 12640, 2455, 1012, 2001, 2239, 4096, 2010, 3200, 2522, 2099, 9028, 2044, 2010, 2269, 1005, 1055, 4915, 1999, 3885, 1010, 1998, 1996, 2034, 15147, 2872, 1999, 6399, 2011, 2001, 2239, 9704, 2522, 2099, 9028, 1999, 2255, 7845, 1010, 6516, 1996, 2258, 6940, 3058, 3544, 2625, 3497, 1012, 2001, 2239, 2275, 2055, 2667, 2000, 3443, 2019, 3776, 2352, 2006, 2455, 4149, 2013, 1996, 5516, 2474, 21827, 2448, 1006, 2448, 12567, 1007, 1012, 2002, 2036, 4149, 2112, 1997, 1996, 7570, 29165, 6790, 2276, 2006, 1996, 2060, 2217, 1997, 1996, 10958, 11151, 2050, 2314, 2013, 2198, 11601, 2100, 1006, 2448, 6163, 1007, 1012, 102, 101, 2010, 14685, 1997, 7222, 3628, 1998, 1997, 13396, 1010, 18489, 2015, 1998, 3769, 28695, 3668, 2058, 5174, 4631, 1006, 1016, 1030, 1012, 1030, 1018, 2463, 2475, 1007, 1998, 3039, 7713, 2013, 1996, 19283, 2167, 1030, 1011, 1030, 2225, 7266, 2000, 3499, 8351, 7876, 1998, 1996, 3652, 1997, 10500, 1010, 2096, 2300, 2373, 2001, 2109, 2005, 4910, 10394, 1012, 2002, 4149, 1998, 2853, 2455, 1010, 1998, 2011, 7131, 2522, 2099, 9028, 2001, 10495, 2004, 1037, 2489, 12640, 3776, 1997, 2074, 2058, 1019, 1030, 1010, 1030, 2199, 4631, 1006, 2322, 2463, 2475, 1007, 2007, 1037, 2312, 7330, 12549, 1996, 2314, 1010, 3143, 2007, 4796, 7410, 1998, 4796, 1030, 1011, 1030, 10684, 1012, 102, 101, 2006, 1996, 3776, 1010, 2001, 2239, 2328, 1037, 2944, 2352, 2170, 19820, 7100, 1010, 2007, 20859, 5716, 1037, 8370, 9621, 1998, 1037, 2430, 3006, 2675, 1012, 19820, 7100, 2018, 2654, 5433, 1010, 2164, 1037, 2695, 2436, 1010, 18112, 1010, 2082, 1010, 2277, 1010, 2060, 4128, 1010, 1998, 5417, 18918, 2020, 2328, 1012, 2001, 2239, 2315, 1996, 2352, 2044, 2010, 2214, 2188, 1999, 2148, 1037, 12541, 7430, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0021605760761545024, 0.00007452964462744549, 0.00010148047182978558, 0.004070920478441518, 0.013111938484391886, 0.06260366634707694, 0.0000545691843751435, 0.013002015675143423, 0.000037348785447590644, 0.01152286946328257, 0.004503911943948423, 1.0261799016510328e-8, 0.09704298759995376, 0.0002638144800933735, 0.019891583987921155, 0.03074741001059616, 0.03818330692965806, 0.0004724859240907148, 0.05935813257682865, 0.0723475974914568, 0.0008334092635514304, 0.0637425617516114, 0.00020321433189888198, 0.0009332512912297495, 0.011372309922292555, 0.00024400427224317712, 0.014025214638417199, 0.0008728519955814545, 0.002738591676174692, 0.0007581417136021913, 0.000010580248608836614, 0.00043418201382303335, 0.076242806992494, 0.025316827185747102, 0.022474853019209623, 0.031020061401324368, 0.0011836971524524366, 0.00004350542197186766, 0.0452056901617761, 0.05918545598379843, 0.000043138465438910584, 0.053435879640996116, 0.09150166614899116, 0.022516869297167324, 0.03174685024666361, 0.012629782947499914, 0.0006582993499958005, 0.0002471432621323676, 0.00008517169578534935, 0.0007428326904040818 ]
[ 3885, 1012, 1996, 2695, 2436, 2441, 1999, 7326, 1998, 1999, 1996, 2168, 2095, 1010, 2810, 1997, 1996, 2277, 2211, 1010, 1998, 2122, 3121, 2928, 1996, 2927, 1997, 19820, 7100, 1012, 102, 101, 2174, 1010, 2001, 2239, 2018, 3517, 1996, 2777, 2232, 8159, 3589, 2737, 2000, 2022, 2328, 2379, 19820, 7100, 1010, 2021, 2043, 2009, 2001, 2328, 2006, 1037, 2062, 2148, 12561, 2799, 2247, 5953, 2015, 2650, 1998, 2054, 2001, 2101, 2000, 2468, 2124, 2004, 21360, 15061, 2239, 1010, 1996, 2352, 2211, 2000, 6689, 1012, 1040, 11101, 2989, 2313, 3140, 1996, 8503, 1997, 1996, 2082, 1999, 4260, 1010, 2348, 1996, 2277, 1997, 2358, 2198, 1996, 24036, 2003, 2145, 1999, 2224, 1012, 2087, 1997, 1996, 3121, 2020, 3833, 2013, 7222, 3536, 4961, 2006, 1996, 3776, 1010, 2021, 1996, 2093, 2434, 5509, 3121, 3961, 1024, 2277, 1010, 2082, 1998, 26301, 1012, 102, 101, 2302, 1996, 2737, 1010, 2001, 2239, 2387, 2010, 2622, 2004, 20076, 1010, 1998, 2853, 2039, 1999, 5141, 1012, 1037, 3541, 5653, 2326, 2001, 6936, 2005, 1996, 6683, 8569, 11715, 2212, 1999, 2244, 4814, 1998, 2044, 1996, 8311, 2020, 2292, 1999, 2337, 4849, 1010, 1996, 19820, 7100, 2695, 2436, 2001, 2701, 1012, 1996, 2082, 2701, 1999, 4260, 1012, 102, 101, 1996, 6683, 8569, 11715, 3589, 1997, 2047, 3414, 3181, 3182, 3404, 1010, 2144, 4096, 2000, 4348, 2047, 3414, 1010, 11521, 2019, 2592, 5997, 2006, 29224, 2154, 1999, 2262, 1999, 19820, 7100, 1005, 1055, 3006, 2675, 1012, 2009, 2001, 2037, 2197, 2622, 2004, 1037, 3589, 2837, 2077, 1996, 14223, 4487, 8583, 2696, 16558, 21808, 1997, 3589, 9528, 2083, 1996, 4348, 2047, 3414, 13433, 27225, 7869, 20216, 13807, 3021, 1010, 1998, 2027, 4900, 19820, 7100, 2000, 2128, 17298, 12680, 3209, 2004, 1996, 3181, 3182, 3054, 9976, 3164, 2554, 2004, 2112, 1997, 1996, 4895, 3726, 16281, 1997, 1996, 3181, 5997, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2313, 1027, 1027, 1027, 102, 101, 102, 101, 19820, 7100, 17893, 2127, 2055, 6571, 1010, 2043, 2313, 1999, 1996, 2352, 2993, 6601, 2012, 2753, 1010, 1998, 2048, 3896, 3303, 1037, 2313, 6689, 1012, 15847, 1010, 1037, 19396, 2275, 1999, 2408, 2047, 3414, 2008, 2081, 2111, 2693, 2000, 2073, 2147, 6695, 3591, 3209, 1010, 1998, 7246, 2216, 6695, 2020, 2580, 2379, 1996, 3703, 1997, 1996, 2777, 2232, 8159, 3589, 2737, 1012, 2001, 2239, 2211, 2000, 6360, 5271, 2125, 3033, 1997, 2010, 2455, 9583, 2013, 1996, 3054, 1030, 1011, 1030, 12751, 1012, 102, 101, 2062, 3522, 2313, 2951, 2064, 2022, 4663, 2013, 6747, 2047, 3414, 1012, 1996, 10479, 3131, 2005, 2029, 2951, 2024, 2800, 2003, 1037, 20437, 23467, 1010, 1998, 19820, 7100, 2003, 2284, 2306, 1996, 20437, 23467, 2007, 8909, 17528, 2692, 29537, 1012, 2023, 20437, 23467, 2038, 2019, 2181, 1997, 4029, 2675, 3717, 1006, 2403, 5490, 2771, 1007, 1010, 1045, 1012, 1041, 1012, 1037, 3541, 2181, 2172, 3469, 2084, 2074, 1996, 2352, 1010, 1998, 1019, 2675, 3717, 1006, 1015, 1030, 1012, 1030, 1023, 5490, 2771, 1007, 2003, 2306, 1996, 2314, 2793, 1012, 2313, 1999, 2023, 20437, 23467, 2001, 2680, 2012, 3438, 1999, 1996, 2727, 2883, 1010, 3438, 1999, 2541, 1010, 6353, 1999, 2294, 1010, 1998, 5764, 1999, 2286, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.031949433402325304, 0.07489396854123166, 0.0017769899767666048, 9.918106197131396e-9, 0.0092961769968867, 0.042663041148274336, 0.0001564342381417704, 0.06424035576012538, 0.013926725154026534, 0.029102961205893643, 0.0022741674429521937, 0.00010342304154366655, 0.0010537393635267633, 0.007047450647288387, 0.12470789406734928, 9.918106197131396e-9, 0.0033111753036801565, 0.00019725712582659477, 0.000023829896751289567, 9.918106197131396e-9, 0.00017112962755318824, 0.014011754665561978, 0.0045806334114584955, 0.00006709387484104171, 0.00014754400850116683, 0.0004046493355388045, 0.16813794424095738, 0.017388895990723977, 0.000035001148715534115, 0.0028908948601171942, 0.0027599865163171456, 0.0025120557988824767, 0.002822880721019867, 0.0004567646699051322, 0.007558716952190723, 0.10856851621486772, 9.918106197131396e-9, 0.0006936237510406764, 0.031310286156821396, 0.0010018508919994809, 0.0024617248476526757, 0.16941910561764578, 0.02033286842380041, 0.008885309590115133, 0.0000621339203710054, 9.918106197131396e-9, 0.0006380080391331188, 0.007740075587507102, 0.01727514705984156, 0.0009403311737985002 ]
[ 102, 101, 102, 101, 1027, 1027, 3862, 3182, 1027, 1027, 102, 101, 102, 101, 2093, 3121, 1999, 1996, 3545, 3961, 2013, 1996, 2051, 1997, 2049, 4889, 1012, 1999, 2804, 1010, 2045, 2003, 1996, 3181, 4796, 4580, 2070, 1016, 1030, 1012, 1030, 1016, 3717, 1006, 1015, 1030, 1012, 1030, 1018, 2771, 1007, 4514, 1997, 19820, 7100, 1012, 2216, 3121, 3961, 6576, 2138, 2027, 2020, 2328, 1999, 5509, 1010, 2007, 2070, 1997, 1996, 3681, 2382, 13935, 1006, 2260, 1999, 1007, 4317, 1012, 1996, 11297, 2001, 5565, 1999, 13826, 2006, 11928, 19277, 2618, 13183, 1010, 19398, 2094, 2408, 2697, 15317, 6491, 7869, 1013, 8915, 23701, 16977, 1010, 1998, 2059, 9687, 2011, 2852, 4710, 21400, 1998, 2247, 1996, 2793, 1997, 1996, 10958, 11151, 2050, 2314, 1012, 2035, 2176, 3121, 2024, 5068, 2004, 4696, 1037, 1006, 1000, 2152, 3643, 1000, 1007, 4348, 5090, 2011, 6683, 8569, 11715, 2212, 2473, 1012, 102, 101, 2358, 2198, 1005, 1055, 2277, 2001, 3262, 3825, 2005, 2011, 2001, 2239, 1010, 1998, 2810, 2318, 1999, 7326, 1010, 2007, 1996, 2034, 2326, 2218, 2006, 1022, 2251, 7557, 2011, 1996, 12340, 1997, 6683, 8569, 11715, 1010, 1059, 1012, 1041, 1012, 17031, 1012, 1037, 12340, 4270, 2001, 2036, 4372, 11365, 18655, 1010, 2021, 2009, 2001, 2196, 2328, 1012, 1037, 1048, 17994, 4796, 2001, 2794, 2004, 1037, 15483, 2622, 1012, 2358, 2198, 1005, 1055, 7460, 2000, 1996, 10958, 11151, 2050, 3583, 1997, 1996, 23701, 6873, 9521, 12274, 5801, 1997, 1996, 9437, 2277, 1999, 20118, 27058, 3217, 2050, 1010, 2047, 3414, 1998, 26572, 21509, 1010, 2007, 2578, 2169, 2117, 4465, 1997, 1996, 3204, 1012, 1996, 2277, 2001, 5068, 2004, 1037, 4348, 2311, 2011, 1996, 2047, 3414, 3181, 3182, 3404, 1006, 2144, 4096, 2000, 4348, 2047, 3414, 1007, 2006, 2603, 2238, 3172, 2007, 8819, 2193, 20797, 6219, 2004, 1039, 1012, 2007, 1996, 2689, 1997, 1996, 5579, 2291, 1010, 1996, 2311, 2101, 2150, 1037, 4696, 2462, 10328, 1012, 1996, 2277, 2003, 3079, 2011, 2277, 3200, 9360, 1006, 1045, 1012, 1041, 1012, 1996, 9437, 2277, 1007, 1012, 102, 101, 2044, 1996, 2455, 2018, 2042, 12876, 1010, 1996, 2034, 17634, 2001, 1996, 2495, 2604, 1010, 12329, 2455, 2005, 1037, 2082, 1999, 1996, 3006, 2675, 1010, 1998, 1037, 3836, 1005, 1055, 2160, 2006, 1996, 5516, 2930, 1012, 2119, 2122, 3121, 2020, 2036, 2328, 1999, 5509, 1998, 4839, 2000, 2023, 2154, 1012, 1996, 2082, 2001, 2328, 2000, 1037, 2642, 14130, 2640, 1998, 2038, 3645, 2006, 1996, 2148, 2217, 2069, 2000, 2644, 2336, 2013, 3352, 11116, 1010, 2021, 1996, 3645, 2024, 2006, 1996, 3308, 2217, 2000, 21183, 24411, 2063, 1996, 3103, 1012, 2144, 1996, 2082, 2701, 1999, 4260, 2009, 2038, 2042, 2109, 2005, 4972, 1998, 2004, 1037, 2534, 1012, 1996, 2280, 3836, 1005, 1055, 2160, 2003, 2109, 2004, 1037, 10384, 1012, 2119, 3121, 2024, 3079, 2011, 6683, 8569, 11715, 2212, 2473, 1012, 102, 101, 1996, 2060, 3588, 14896, 5509, 2311, 2003, 1996, 4796, 2160, 1010, 2284, 2070, 3292, 2185, 2006, 1996, 10958, 11151, 2050, 19820, 7100, 2777, 2232, 8159, 2346, 1012, 2001, 2239, 1005, 1055, 14473, 2001, 2012, 1996, 2203, 1997, 1037, 3298, 3225, 2012, 2023, 4796, 2160, 1010, 2006, 1037, 7656, 2327, 12549, 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 ]
[ 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.02172797552180164, 0.06389059370734396, 0.002043299533812707, 0.0653851089910006, 0.0000048745475193225965, 0.0000030178472701004504, 0.00027539121730904407, 0.00024635585995769053, 0.019271692920386763, 0.00601967239863017, 0.1299124282077901, 0.024355808858207435, 0.0017363342254550548, 0.03987765912973615, 0.00026380326248239753, 0.02669376741600135, 0.06456343190704705, 0.0009142892311291481, 0.000006065743547328208, 0.10427518214778789, 0.026679063139008523, 0.020778573749701695, 0.00017936024169499208, 1.0589451212281549e-8, 0.005091824588713008, 0.00004325425416574955, 0.005971667553222939, 0.03174347950675828, 0.002525904022524062, 0.002176112296685487, 0.0031504530023595727, 0.055985032645234384, 0.0500592797346558, 0.07364073300265717, 0.0016444902173693113, 0.0000793625420265159, 0.05526252686916259, 0.007288018983281096, 0.00007005730889516355, 0.04487668929396879, 0.000006677551178367954, 0.000021659919829429947, 0.006588057323563622, 0.0000940614217339801, 0.0008996771437208218, 0.031788740601146566, 0.00019247412350934667, 1.0589451212281549e-8, 0.0010292752279834217, 0.0006667198821308445 ]
[ 10958, 11151, 2050, 2314, 1012, 1996, 14473, 11060, 2091, 2025, 2146, 2044, 2001, 2239, 2018, 2187, 1996, 2406, 1010, 1998, 1037, 2047, 14473, 2001, 2328, 3518, 1012, 1996, 4796, 13106, 1005, 1055, 7410, 2761, 2018, 1037, 12796, 4412, 1010, 2021, 2023, 2001, 2101, 2999, 2011, 3707, 1012, 1996, 2197, 2155, 2333, 2041, 1999, 4437, 1012, 2076, 1996, 2117, 2088, 2162, 1010, 1996, 3707, 2001, 10040, 2125, 1996, 4064, 2311, 1010, 1998, 2009, 3062, 2046, 10083, 1012, 1037, 2101, 3954, 1010, 6972, 11338, 2721, 2818, 5802, 1010, 6955, 1996, 2455, 1998, 1996, 10083, 2000, 1996, 2111, 1997, 1996, 2212, 1025, 2009, 2003, 2085, 26003, 1999, 1996, 6683, 8569, 11715, 2212, 2473, 1012, 1996, 10525, 2211, 1999, 3359, 1010, 2007, 2147, 3344, 2041, 1998, 13790, 2011, 8481, 1997, 3025, 4864, 1997, 1996, 2311, 1012, 1037, 11952, 2006, 1996, 2311, 2163, 2008, 2009, 2001, 11882, 1999, 2233, 3245, 2011, 1996, 3539, 2704, 1997, 1996, 2051, 1010, 2728, 14163, 6392, 7828, 1010, 2021, 2010, 4946, 2743, 2397, 1998, 1996, 3098, 5103, 2001, 4146, 2011, 6972, 11338, 2721, 2818, 5802, 1012, 1996, 4796, 2160, 2003, 7130, 2041, 2004, 1037, 2688, 1010, 1998, 10523, 2064, 2022, 5412, 2083, 1996, 6683, 8569, 11715, 2030, 2777, 2232, 8159, 2592, 8941, 1012, 102, 101, 19820, 7100, 4528, 2003, 2284, 3263, 3620, 1006, 20982, 3027, 1007, 2148, 1030, 1011, 1030, 2225, 1997, 1996, 2352, 2006, 21360, 15061, 2239, 19820, 7100, 2346, 1012, 2009, 2003, 2028, 1997, 2340, 2330, 20973, 1999, 1996, 6683, 8569, 11715, 2212, 1012, 1996, 4587, 2680, 8940, 2001, 1999, 7005, 1012, 102, 101, 102, 101, 1027, 1027, 3862, 2111, 1027, 1027, 102, 101, 102, 101, 19820, 7100, 1005, 1055, 3910, 1010, 4937, 16257, 8445, 2001, 2239, 1010, 2001, 1037, 2266, 1997, 3323, 1999, 2048, 3032, 1024, 2034, 1999, 2047, 3414, 2005, 1037, 2561, 1997, 2416, 2086, 1010, 1998, 2059, 1999, 1996, 2142, 2983, 2005, 3174, 2086, 1012, 2047, 3414, 3883, 9092, 2401, 13401, 1010, 2141, 1999, 3518, 10958, 11151, 2050, 1010, 2973, 1999, 19820, 7100, 2005, 2048, 2086, 2004, 1037, 2775, 1012, 102, 101, 102, 101, 102, 101, 1027, 22884, 16096, 1027, 102, 101, 102, 101, 22884, 16096, 1006, 1013, 1149, 2050, 29685, 2094, 29681, 1013, 1007, 2003, 2019, 12175, 1999, 1996, 12849, 4948, 2483, 2155, 1997, 1996, 12175, 5583, 1012, 2009, 2001, 3603, 2006, 2756, 2244, 6988, 2011, 6161, 15211, 8968, 28619, 3736, 1998, 2315, 2044, 1037, 6396, 8737, 2232, 2013, 3306, 11327, 1012, 2101, 10093, 2229, 26461, 9420, 20427, 16096, 2004, 2019, 1055, 1030, 1011, 1030, 2828, 12175, 1010, 1996, 2087, 3365, 2828, 1999, 1996, 5110, 12175, 5583, 1012, 2006, 2654, 2257, 2857, 1010, 16096, 2001, 4716, 2011, 1996, 24075, 21514, 12076, 1010, 2096, 4372, 2799, 2000, 13035, 1012, 2009, 2001, 1996, 2117, 12175, 4716, 2011, 1037, 12076, 1998, 1996, 2034, 2179, 2000, 2031, 1037, 3019, 5871, 1012, 102, 101, 2066, 2035, 2364, 1030, 1011, 1030, 5583, 26732, 1010, 16096, 1005, 1055, 8753, 3658, 2090, 1996, 11358, 7733, 1998, 13035, 1012, 2049, 13943, 2558, 2003, 1018, 1030, 1012, 1030, 6391, 2086, 1010, 1998, 2049, 9963, 2558, 2003, 1018, 1030, 1012, 1030, 6191, 2847, 1012, 16096, 2038, 2019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07150777386656065, 0.0001743323997739498, 0.000047631915211020235, 0.00709733963571357, 0.01691353079086739, 0.034677341829163204, 0.00011844052313975993, 0.004757741013699621, 9.388388722480742e-9, 0.029614368862589054, 0.013630336174113468, 0.00007751735473162462, 0.00006566660273253767, 0.03790722109720091, 0.00017406108662630299, 0.07533360562785375, 0.016653556433884515, 0.0038287481663982193, 0.000026662022999873002, 0.0001629724917457551, 0.003976713983832007, 0.00459744458317246, 0.014374048969611485, 0.021841486599373933, 0.06116079187647679, 0.00001430446310768852, 0.006676084370292813, 0.03145264960035032, 9.388388722480742e-9, 0.037819731487393274, 0.001137623309401309, 0.0399063854666602, 0.06078856470771029, 0.044631486011607775, 0.00044670229018463147, 0.010765960901653621, 0.07517056161369302, 0.01855761479825777, 0.06395228172325448, 0.06760931754160675, 0.10355099573711997, 0.00009287495983356753, 0.00006909556152298977, 0.0007141811495367939, 0.0000036509807780558053, 0.005172457346899577, 0.0002509074600516598, 0.0000013085107142230762, 0.01244725954905323, 0.00004864777506675116 ]
[ 2779, 6705, 1997, 2861, 1030, 1012, 1030, 1018, 2463, 1006, 2539, 1030, 1012, 1030, 1019, 2771, 1007, 1012, 2009, 2003, 12052, 2135, 5044, 1998, 17876, 1010, 1998, 4593, 3605, 1997, 2048, 2312, 5200, 4198, 2362, 1012, 2049, 3302, 2003, 2028, 1997, 1996, 2087, 4600, 11351, 2098, 1999, 1996, 5943, 2291, 1010, 3794, 1037, 2898, 3528, 1997, 11351, 10826, 1998, 5535, 1012, 102, 101, 16096, 1005, 1055, 4231, 1010, 4830, 6593, 8516, 1010, 2001, 3603, 2011, 3260, 2266, 5754, 5292, 11140, 1999, 4871, 2513, 2013, 21514, 1012, 2009, 2001, 2315, 2044, 1996, 4830, 6593, 8516, 2015, 1010, 7329, 2029, 9613, 4057, 16096, 1999, 3306, 11327, 1012, 4830, 6593, 8516, 1010, 2108, 2069, 1015, 1030, 1012, 1030, 1018, 3717, 1006, 1018, 1030, 1010, 1030, 5174, 3027, 1007, 1999, 6705, 1010, 2003, 2055, 2028, 1030, 1011, 1030, 9086, 1996, 2946, 1997, 16096, 1012, 2049, 8753, 2105, 16096, 2071, 2025, 2022, 4340, 2007, 2172, 10640, 1012, 2174, 1010, 1996, 14679, 1997, 2825, 20347, 3039, 1037, 5931, 9128, 1997, 16096, 1005, 1055, 4304, 1010, 2029, 3936, 2008, 2009, 2003, 22595, 1997, 12392, 13246, 1012, 4830, 6593, 8516, 1998, 16096, 3745, 2116, 6459, 1010, 9104, 1037, 2691, 4761, 1012, 102, 101, 1996, 4871, 2513, 2013, 21514, 1010, 1998, 1996, 4745, 10903, 1997, 16096, 1005, 1055, 3742, 1010, 3024, 2047, 20062, 2046, 1996, 13404, 1997, 1055, 1030, 1011, 1030, 2828, 26732, 1012, 2077, 1996, 21514, 4875, 3762, 1010, 2116, 2367, 8106, 2018, 2042, 3818, 2000, 4863, 2037, 9754, 5512, 1012, 12515, 2037, 5512, 14245, 1037, 16902, 2090, 23879, 7616, 4634, 2000, 1996, 3011, 1998, 2037, 4761, 1999, 1996, 12175, 5583, 1012, 2951, 2513, 2013, 1996, 4875, 3762, 4197, 2000, 1055, 1030, 1011, 1030, 2828, 26732, 2004, 1996, 3120, 2005, 1996, 6623, 16480, 4859, 17625, 23879, 7616, 1010, 1996, 2087, 2691, 2828, 2179, 2006, 1996, 3011, 1005, 1055, 3302, 1012, 102, 101, 102, 101, 1027, 1027, 5456, 1998, 9420, 1027, 1027, 102, 101, 102, 101, 16096, 2001, 3603, 2006, 2756, 2244, 6988, 2011, 6161, 15211, 8968, 28619, 3736, 2012, 1996, 6004, 9970, 1012, 2009, 2001, 2010, 24634, 12175, 5456, 1012, 16096, 2001, 2315, 2011, 22993, 2480, 3854, 13970, 4246, 3678, 1010, 1037, 20098, 10087, 3366, 18710, 1998, 5515, 15211, 1012, 1999, 3306, 11327, 1010, 16096, 2001, 1037, 6396, 8737, 2232, 1997, 19111, 2040, 2992, 1996, 2643, 15208, 1012, 16096, 2001, 3858, 2004, 1037, 2266, 1997, 1996, 12849, 4948, 2483, 2155, 2011, 11382, 7677, 10422, 12193, 7632, 29539, 2863, 1010, 2040, 3818, 1999, 4271, 2008, 1996, 2177, 11539, 1996, 11270, 1997, 1037, 3908, 14988, 2303, 1012, 102, 101, 16096, 1005, 1055, 9185, 8674, 2001, 7594, 2006, 2385, 2244, 3150, 2011, 26357, 2585, 1046, 1012, 27793, 7770, 1998, 3487, 1042, 1012, 6945, 2229, 3597, 2004, 2112, 1997, 1996, 2809, 1030, 1011, 1030, 3609, 12175, 5002, 1006, 14925, 3022, 1007, 1012, 2049, 8674, 10349, 2216, 1997, 1996, 26732, 1999, 1996, 1055, 1030, 1011, 1030, 2828, 5579, 1012, 2116, 9420, 1997, 16096, 2020, 2081, 1999, 2220, 2857, 2011, 1996, 2149, 3987, 9970, 1999, 9245, 22542, 1998, 1996, 6116, 5526, 9970, 1012, 2122, 5301, 1996, 10903, 1997, 16096, 1005, 1055, 8753, 2105, 1996, 3103, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0020277783503107366, 0.0018585160502649874, 8.252115326613448e-9, 0.057825731886611755, 0.0006651915123287345, 0.010735748500565356, 0.0021862890636483202, 0.0037095562305447935, 0.003694715239648255, 0.003762565489075034, 0.010791922602288558, 0.0038714239587134317, 0.07571730625567367, 8.252115326613448e-9, 0.002686671781316862, 0.004441401706727137, 0.012746192056641542, 0.01673643039496356, 0.0000014449350902131077, 0.05193217009701263, 0.057150916964902404, 0.07281993903573838, 0.03136077470663721, 0.015347459863813603, 0.09067728667172029, 0.0000915739087739445, 0.013604109824823084, 0.000027383831003030076, 0.000544750830067077, 0.00006394999136142597, 0.00012157237921663884, 0.045247121083998865, 0.00003241844050273681, 0.000018618280936374848, 0.000006696262826764566, 0.00003478485576053363, 0.040037735444209126, 0.002087186197518328, 3.5679327717718773e-7, 0.013070107129328566, 0.08920673029619912, 0.059878298332819574, 0.12275038058830658, 0.000006236374974672678, 0.00011450975290013304, 0.07986569286743793, 0.00039021717434112335, 0.000047054416451605785, 8.270914691346023e-7, 0.00000423799302819823 ]
[ 4359, 1996, 12503, 1997, 2049, 2597, 2076, 1996, 21514, 4875, 3762, 2013, 6275, 2000, 3438, 2463, 1006, 4466, 2000, 4261, 2771, 1007, 1012, 102, 101, 102, 101, 1027, 1027, 8993, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 21514, 4875, 3762, 1027, 1027, 1027, 102, 101, 102, 101, 16096, 2001, 4716, 1999, 2857, 2011, 1996, 13035, 1030, 1011, 1030, 5391, 2686, 15113, 21514, 1012, 2049, 11340, 1997, 1996, 26732, 12008, 2527, 1998, 16096, 2020, 3905, 2000, 1996, 13035, 3260, 1012, 2122, 2020, 3479, 2004, 7889, 1999, 3433, 2000, 1037, 2047, 9274, 3343, 9855, 3260, 27155, 2000, 5136, 12175, 4875, 3762, 2015, 2005, 2035, 12076, 5153, 1996, 5583, 1012, 2053, 3188, 6416, 2018, 4692, 2107, 1037, 4875, 3762, 1012, 21514, 2001, 3390, 2046, 8753, 2011, 1996, 2686, 10382, 16637, 3260, 8541, 1030, 1011, 1030, 4090, 2006, 2324, 2255, 2960, 1012, 5278, 21514, 1005, 1055, 22793, 2000, 3921, 16096, 3223, 2008, 2009, 16678, 4090, 4705, 1006, 4293, 6053, 1007, 1997, 17678, 24178, 1012, 3260, 27155, 8394, 1996, 3247, 2000, 3535, 1037, 4875, 3762, 2127, 2027, 2020, 3056, 2008, 2023, 2052, 2681, 1996, 12076, 2438, 17678, 24178, 2000, 3143, 2049, 13035, 3260, 1012, 102, 101, 21514, 1005, 1055, 22793, 3344, 2009, 2046, 1996, 12175, 5583, 3807, 2006, 2049, 2126, 2000, 13035, 1012, 2076, 2049, 2117, 5153, 1010, 2009, 5520, 2011, 16096, 2006, 2654, 2257, 2857, 2012, 1037, 3177, 1997, 2260, 1030, 1010, 1030, 4278, 1049, 1013, 1055, 1006, 4601, 1030, 1010, 1030, 2199, 3027, 1013, 1055, 1007, 5816, 2000, 1996, 12175, 1012, 1996, 27120, 3746, 2099, 5159, 16096, 2013, 1037, 3292, 1997, 11212, 1030, 1010, 1030, 8698, 2463, 1006, 17332, 1030, 1010, 1030, 8698, 2771, 1007, 2000, 2049, 7541, 3921, 1997, 1016, 1030, 1010, 1030, 20024, 2463, 1006, 1015, 1030, 1010, 1030, 22288, 2771, 1007, 1012, 16096, 2001, 1996, 2117, 12175, 1010, 2044, 12008, 2527, 1010, 2000, 2022, 3746, 2094, 2011, 1037, 12076, 1012, 2055, 5345, 1003, 1997, 16096, 1005, 1055, 3302, 2234, 2046, 3193, 1997, 1996, 15113, 2076, 1996, 4875, 3762, 1012, 102, 101, 6726, 1997, 2116, 16096, 4871, 2001, 8394, 2349, 2000, 1037, 4568, 4945, 1999, 1996, 12076, 1005, 1055, 2152, 1030, 1011, 1030, 5114, 13438, 1012, 1996, 2034, 2274, 4871, 2020, 2363, 1999, 2244, 2857, 1012, 2122, 11539, 1037, 2152, 1030, 1011, 1030, 5813, 16061, 1997, 1996, 12175, 2012, 1037, 5813, 1997, 2861, 1516, 4229, 1049, 1013, 22138, 1012, 1996, 3588, 4871, 2020, 2741, 1999, 2337, 2807, 1010, 2043, 1996, 12076, 1005, 1055, 10039, 2000, 1996, 3011, 3039, 3020, 3177, 21670, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 15636, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2951, 2513, 2013, 1996, 21514, 4875, 3762, 2015, 1997, 12008, 2527, 1998, 16096, 1010, 1998, 1996, 2101, 2379, 10818, 8571, 12175, 3260, 1010, 7936, 1996, 2034, 2817, 1997, 12175, 13404, 1012, 16096, 1005, 1055, 4659, 2312, 3302, 8176, 1037, 7578, 2846, 1997, 9843, 2838, 1012, 1996, 5456, 1997, 16096, 1005, 1055, 4231, 4830, 6593, 8516, 1010, 1996, 2034, 4484, 5871, 1997, 2019, 12175, 1010, 3024, 3176, 20062, 2046, 16096, 1005, 1055, 5512, 1012, 102, 101, 16096, 2003, 6219, 2004, 2019, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0.0009285276278499096, 0.008697180058580662, 0.0068868947777362315, 0.06736054409811745, 0.008958406768272807, 0.004396624280853714, 0.009277539476257183, 0.017727787431527867, 0.033063495699588184, 0.021169758205688515, 0.000005281608485239974, 0.002242772931344231, 0.007766589362494922, 0.08188417828178436, 0.0019057246875469802, 8.951036932874486e-9, 0.0000027221146055971787, 0.12653271896829224, 0.000030332186402634644, 0.0035096816777608836, 0.09616959760777627, 0.003726091810523271, 0.0023202349863923064, 0.008622255291359068, 0.09682315972942811, 0.000013027803305101624, 0.0006227236439247634, 0.0020027873650984365, 0.001164179840774332, 0.000019925982585361, 0.0010454800810784958, 0.0015217888618074466, 0.00018833663008928746, 0.017927121147605956, 0.0174521873117325, 8.951036932874486e-9, 0.0000837644050598148, 0.02875028164001271, 0.024858156577435363, 0.001152517165271421, 0.00029623351169419523, 0.001011431141435888, 0.002705091959769157, 0.077285565092064, 0.043342904730473926, 0.12027650510754102, 0.046557503994259015, 0.00001801262306757348, 0.00003726867939595508, 0.0016590871337758672 ]
[ 1030, 1011, 1030, 2828, 12175, 2241, 2006, 2598, 1030, 1011, 1030, 2241, 28699, 13181, 24895, 11702, 1012, 1996, 5512, 1997, 1055, 1030, 1011, 1030, 4127, 2001, 9662, 2077, 1996, 21514, 4875, 3762, 2015, 1010, 2021, 2001, 10009, 2000, 2022, 2593, 1997, 2048, 13246, 2179, 1999, 23879, 7616, 2008, 2018, 5357, 2000, 1996, 3011, 1024, 6623, 16480, 4859, 17625, 1006, 1051, 2278, 1007, 1998, 16104, 1030, 1011, 1030, 3707, 1012, 10035, 1997, 16096, 1005, 1055, 4304, 2024, 27570, 2000, 2625, 2084, 1017, 1030, 1012, 1030, 1016, 1043, 1013, 4642, 2509, 2011, 1996, 2146, 1030, 1011, 1030, 2744, 9211, 1997, 4830, 6593, 8516, 1005, 1055, 8753, 1012, 2023, 2035, 2021, 3513, 2041, 1037, 16104, 1030, 1011, 1030, 3707, 5512, 1025, 2020, 16096, 2081, 1997, 1019, 1043, 1013, 4642, 2509, 3707, 1011, 1998, 15519, 1030, 1011, 1030, 4138, 3430, 1010, 2009, 2052, 2031, 2000, 5383, 2062, 2084, 2871, 1003, 4064, 2686, 1012, 102, 101, 1996, 21514, 4871, 2036, 2419, 2000, 1996, 5456, 2008, 2686, 4633, 2075, 2001, 2635, 2173, 2006, 16096, 1010, 1037, 2832, 2029, 5320, 3080, 4655, 2000, 2468, 2062, 2417, 1999, 3609, 2058, 2051, 1012, 1996, 2168, 2832, 13531, 2119, 16096, 1998, 2049, 4231, 1010, 2348, 4830, 6593, 8516, 3065, 1037, 8276, 2689, 1012, 1996, 4633, 2075, 1997, 16096, 1005, 1055, 3302, 3936, 2178, 6987, 2055, 2049, 5512, 1024, 1996, 9185, 29237, 1997, 20229, 6086, 3033, 1997, 1996, 3302, 15881, 2008, 1997, 1051, 2278, 23879, 7616, 1010, 2021, 1996, 3080, 4655, 10349, 1996, 29237, 1997, 1055, 1030, 1011, 1030, 2828, 26732, 1012, 102, 101, 2119, 1997, 2122, 15636, 1517, 1996, 2686, 4633, 2075, 3896, 1998, 1996, 2659, 4304, 1517, 2419, 2000, 1037, 2047, 4824, 2055, 1996, 3276, 2090, 1055, 1030, 1011, 1030, 2828, 26732, 1998, 1051, 2278, 23879, 7616, 1012, 1055, 1030, 1011, 1030, 4127, 2024, 1996, 2087, 3365, 2785, 1997, 12175, 1999, 1996, 5110, 2112, 1997, 1996, 12175, 5583, 1012, 1051, 2278, 23879, 7616, 2024, 1010, 10655, 1010, 1996, 2087, 2691, 2828, 1997, 23879, 4221, 2179, 2006, 1996, 3011, 1005, 1055, 3302, 1012, 1996, 9185, 29237, 7594, 2011, 6556, 9420, 1997, 1055, 1030, 1011, 1030, 2828, 26732, 1010, 2174, 1010, 2106, 2025, 2674, 2008, 1997, 1051, 2278, 23879, 7616, 1012, 1996, 21514, 4875, 3762, 1997, 16096, 2179, 2008, 2070, 1055, 1030, 1011, 1030, 4127, 1010, 3391, 1996, 12849, 4948, 2483, 2155, 1010, 2071, 2022, 1996, 3120, 1997, 2122, 23879, 7616, 1012, 102, 101, 102, 101, 1027, 1027, 3558, 6459, 1027, 1027, 102, 101, 102, 101, 16096, 1005, 1055, 3742, 2003, 2090, 1017, 1030, 1012, 1030, 3515, 1998, 1018, 1030, 1012, 1030, 5585, 1095, 28707, 4705, 1012, 2049, 19790, 2492, 7137, 2019, 16264, 1997, 2055, 1014, 1030, 1012, 1030, 1017, 2000, 1015, 1030, 1012, 1030, 1015, 4642, 1013, 1055, 2475, 2058, 2049, 3302, 1012, 2023, 2492, 2003, 2061, 5410, 2008, 2019, 19748, 3061, 2006, 2049, 3302, 2071, 11679, 2013, 2028, 2203, 1997, 16096, 2000, 1996, 2060, 1010, 1998, 2019, 4874, 3048, 1999, 9987, 1997, 2322, 1049, 1013, 1055, 1006, 3963, 3027, 1013, 1055, 1007, 2071, 4019, 1996, 12175, 4498, 1012, 102, 101, 16096, 2003, 1037, 19517, 17876, 12175, 1010, 2007, 2019, 12052, 3302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0008193435151485184, 0.00001377399782178667, 0.011598148909591998, 0.0019030206838923172, 9.308087937231012e-9, 0.01937190982013811, 0.00003633723188931752, 0.07566072034200604, 0.013208332316918066, 0.0014811328834118203, 0.023176825959390968, 0.0010670709785455979, 0.04991602747882412, 0.0469114958226402, 0.022683301547237165, 9.308087937231012e-9, 0.01812911309804618, 0.12337074328334686, 0.06331068863365644, 0.005808653065780256, 6.761244104819745e-7, 0.000019056344714007486, 0.013300368911365943, 0.1110924701936209, 0.000006191001469531928, 0.05799944644041087, 0.04740396971351365, 0.012831975519769256, 0.0018952848642938822, 0.014465538568451008, 1.7970066858271138e-7, 0.0020736685520888645, 0.030657079663008888, 0.005767947429613403, 0.00005154732792767602, 0.047543229139989464, 0.00009137600024153837, 0.0004524301742783308, 0.06983893892718603, 0.001369199020844316, 0.0031752376216138494, 0.008874139290994565, 0.0006476994696791019, 0.0017134131317243766, 0.05745198074916809, 0.0006016539270562092, 0.00006881982405980979, 0.006999578137267139, 0.00006578846159804158, 0.025074457584510497 ]
[ 1012, 16096, 2003, 1016, 1030, 1012, 1030, 3486, 2335, 2004, 2146, 2004, 2009, 2003, 2898, 1010, 1998, 1037, 1000, 5808, 1000, 18600, 2009, 2046, 2048, 9843, 2135, 4487, 18719, 4328, 8017, 23672, 1012, 2023, 9530, 3367, 20623, 4338, 2003, 8335, 2007, 16096, 2108, 2081, 1997, 2048, 2312, 1010, 5024, 6177, 1010, 2007, 6065, 11385, 8110, 1996, 6578, 2090, 2068, 1012, 2174, 1010, 2053, 2107, 11385, 2001, 2464, 1999, 2152, 1030, 1011, 1030, 5813, 4871, 4110, 2011, 21514, 1012, 2348, 2045, 2024, 1037, 2261, 9561, 10314, 21788, 2039, 2000, 2055, 2753, 1080, 2006, 16096, 1010, 1996, 9663, 3227, 2515, 2025, 13467, 3486, 1080, 1012, 16096, 1005, 1055, 12052, 4338, 2003, 3625, 2005, 1996, 12175, 1005, 1055, 2200, 17837, 19790, 2492, 1012, 1996, 3302, 16264, 2003, 7290, 2012, 1996, 4654, 7913, 22930, 3111, 2138, 1997, 2037, 2152, 25254, 3177, 1012, 2009, 2003, 2036, 2659, 2379, 1996, 1000, 5808, 1000, 2138, 1996, 3742, 1997, 1996, 12175, 2003, 8279, 1999, 1996, 2048, 23672, 1010, 2185, 2013, 2023, 3295, 1012, 102, 101, 102, 101, 1027, 1027, 3302, 2838, 1027, 1027, 102, 101, 102, 101, 16096, 1005, 1055, 3302, 3544, 4600, 11351, 2098, 1998, 3262, 3897, 1010, 2348, 3576, 3609, 8358, 2928, 4397, 2719, 2030, 14486, 2752, 1012, 4661, 27561, 1010, 2060, 2838, 2024, 10358, 1010, 2107, 2004, 25880, 1010, 16386, 1010, 1998, 4013, 16344, 22016, 1012, 16096, 2003, 3139, 2011, 1037, 4317, 6741, 1997, 19723, 10893, 2705, 1010, 6065, 11385, 2008, 14485, 2015, 1996, 5024, 2600, 4218, 1012, 1996, 2922, 1010, 13264, 1030, 1011, 1030, 7451, 1010, 11385, 10341, 2024, 2170, 1041, 20614, 2050, 5991, 1010, 2195, 1997, 2029, 2031, 2042, 5159, 2006, 1996, 3302, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 19723, 10893, 2705, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 3302, 1997, 16096, 2003, 3139, 1999, 1037, 8768, 1997, 16405, 26229, 3550, 2600, 1010, 2170, 19723, 10893, 2705, 1010, 2055, 2753, 1516, 2531, 1049, 1006, 8148, 1516, 14210, 3027, 1007, 4317, 1012, 2023, 3430, 2003, 2550, 1999, 4254, 2824, 1998, 2417, 2923, 3089, 8569, 3064, 2408, 16096, 1005, 1055, 3302, 2011, 9843, 6194, 1012, 21514, 5159, 3350, 1997, 3522, 12482, 4135, 5051, 19723, 10893, 2705, 2929, 1012, 102, 101, 16096, 1005, 1055, 19723, 10893, 2705, 2003, 3605, 1997, 1996, 9033, 19341, 2618, 13246, 19330, 12848, 3170, 1998, 1052, 12541, 11636, 8625, 1012, 2049, 3311, 3431, 2058, 2051, 2083, 1037, 2832, 2170, 2686, 4633, 2075, 1012, 2138, 1997, 2023, 2832, 1010, 3080, 19723, 10893, 2705, 3544, 2062, 2417, 1999, 3609, 4102, 2000, 20229, 6086, 3430, 1012, 102, 101, 2055, 2322, 2312, 1006, 2871, 1516, 5018, 1049, 2408, 1007, 1041, 20614, 2050, 5991, 2031, 2042, 4453, 1010, 11157, 1999, 16096, 1005, 1055, 19723, 10893, 2705, 1012, 1041, 20614, 2050, 5991, 12346, 1996, 2922, 4109, 1997, 1996, 19723, 10893, 2705, 1012, 2138, 1041, 20614, 2050, 5991, 2024, 3517, 2000, 3338, 2091, 2855, 2011, 4254, 2824, 1010, 2216, 2556, 2006, 1996, 3302, 2442, 2031, 2042, 2593, 2719, 3728, 2030, 14486, 2011, 2019, 4254, 2724, 1012, 2087, 1997, 2068, 2024, 2284, 2306, 1996, 27561, 5869, 3540, 5602, 1998, 23714, 1010, 2021, 2027, 2089, 2025, 2031, 2042, 2550, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.008620924477598931, 0.04479476822094573, 0.004090057692872984, 0.09355754939372207, 0.0024347442125566337, 0.004102995115712526, 0.003267125034543681, 0.004328684147947443, 0.008451253677057133, 0.00000331154096556115, 0.0010562434300444839, 0.014179422515590512, 1.2210381373092985e-7, 0.0035903026766448483, 0.00011692326461444871, 0.08057530537070284, 0.000005430775545111186, 0.00006452374224427401, 0.047692101765691476, 0.11301658365976687, 0.025639124502810005, 0.01304480487536747, 0.000002031793002703478, 0.000060224125982742, 8.325552410810318e-9, 0.00010757541332712521, 0.00010977157466095286, 0.0007420510168895582, 0.00006475402848433078, 0.13845582726565236, 0.026077346787039667, 0.056951774530792115, 0.035394468939866995, 0.031000795436854824, 1.7985607296977733e-7, 0.00005042647857112065, 8.325552410810318e-9, 0.020875917639723254, 0.0016166188660837932, 0.0015398134439802932, 0.000028900601891488853, 0.00013383141310830565, 0.0005816504537916394, 0.08207989206517274, 0.01176667343946323, 0.0010135356843477227, 0.000020534327405372704, 0.04686532382380465, 0.04452777910429897, 0.027299983041867353 ]
[ 1012, 2023, 2181, 17771, 11385, 2349, 2000, 16096, 1005, 1055, 12052, 19790, 2492, 1012, 2070, 5991, 2089, 2031, 2042, 22607, 2013, 1996, 2402, 11351, 17207, 9759, 11335, 2006, 1996, 4500, 2217, 1997, 1996, 12175, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5090, 1027, 1027, 1027, 102, 101, 102, 101, 2195, 2350, 5090, 2928, 16096, 1005, 1055, 3302, 1012, 1996, 12175, 3544, 2000, 2022, 3975, 2046, 2048, 23672, 1010, 2182, 3615, 2000, 2004, 2555, 1015, 1998, 2555, 1016, 1010, 4198, 2011, 1037, 1000, 5808, 1000, 1012, 2023, 3444, 2089, 2031, 2042, 3561, 1999, 2011, 11385, 1010, 2030, 18461, 2041, 1997, 1996, 12175, 2011, 14670, 1012, 102, 101, 2555, 1015, 1997, 16096, 3397, 2048, 2350, 5090, 1012, 2028, 2003, 1037, 4069, 2871, 2463, 1006, 2423, 2771, 1007, 5526, 2315, 16139, 2079, 2869, 2819, 2008, 14082, 5018, 5445, 2105, 16096, 1005, 1055, 3302, 1012, 1996, 2060, 3252, 2003, 1037, 2312, 27427, 19304, 2315, 6004, 19723, 3695, 1012, 102, 101, 16096, 1005, 1055, 2555, 1016, 2838, 2195, 4520, 1997, 25880, 1010, 2087, 1997, 2029, 2024, 2531, 1049, 1006, 14210, 3027, 1007, 2898, 2030, 2625, 1998, 2039, 2000, 1018, 2463, 1006, 1016, 1030, 1012, 1030, 1019, 2771, 1007, 2146, 1012, 2027, 2024, 2284, 2379, 1010, 2021, 2024, 2025, 4198, 2007, 1010, 1996, 27561, 23714, 1010, 5869, 3540, 5602, 1010, 1998, 10556, 5339, 28254, 1012, 2070, 25880, 2024, 3141, 2000, 2350, 4254, 2824, 1010, 2005, 2742, 1037, 2275, 4500, 6004, 19723, 3695, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 27561, 1027, 1027, 1027, 102, 101, 102, 101, 16096, 2003, 2028, 1997, 1996, 2087, 19441, 11351, 2098, 4230, 2664, 10641, 1999, 1996, 5943, 2291, 1010, 1998, 14670, 2031, 2042, 1996, 3078, 2832, 20300, 2049, 3302, 1012, 11351, 2075, 2038, 2584, 1996, 2938, 18924, 2391, 1010, 3574, 2008, 2047, 14670, 22505, 3350, 1997, 2214, 3924, 1010, 2975, 1996, 2561, 11351, 4175, 5560, 1996, 2168, 1012, 2009, 2003, 3139, 2007, 27561, 1997, 2035, 10826, 1998, 5711, 1997, 16627, 1010, 1998, 7478, 1999, 2287, 2013, 4840, 2000, 2004, 2214, 2004, 16096, 2993, 1012, 1996, 4587, 2089, 2031, 2042, 2719, 2076, 1996, 19010, 1997, 1996, 12849, 4948, 2483, 2155, 6687, 2303, 1012, 1996, 2922, 11351, 1010, 5869, 3540, 5602, 1010, 2003, 2471, 2260, 2463, 1006, 1021, 1030, 1012, 1030, 1019, 2771, 1007, 2408, 1012, 2555, 1016, 3397, 3053, 2035, 1997, 1996, 27561, 3469, 2084, 1020, 2463, 1006, 1017, 1030, 1012, 1030, 1021, 2771, 1007, 1999, 6705, 1010, 2021, 2555, 1015, 2038, 2053, 2312, 27561, 2012, 2035, 1012, 2070, 27561, 2024, 5412, 1999, 8859, 1012, 102, 101, 16096, 1005, 1055, 2350, 27561, 2024, 2315, 2044, 10614, 1998, 13697, 10868, 2006, 3011, 1012, 1996, 11351, 17207, 9759, 11335, 1010, 2005, 2742, 1010, 2003, 2315, 2044, 1037, 13563, 5430, 2006, 1996, 2479, 1997, 6178, 3089, 1010, 2036, 2124, 2004, 1996, 2630, 24665, 23052, 1012, 17207, 9759, 11335, 3849, 2000, 2022, 1996, 2087, 3522, 2350, 4254, 2006, 16096, 1012, 1996, 1041, 20614, 2050, 2013, 2023, 12365, 2003, 5500, 12532, 16778, 11231, 13453, 2058, 16096, 1998, 2003, 3625, 2005, 1996, 2312, 1030, 1011, 1030, 4094, 3609, 1998, 2632, 28759, 8358, 2408, 2049, 3302, 1012, 2019, 6453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00005669982660846675, 0.0003937524914682767, 0.010506213427386613, 0.0012916682075986296, 0.00037271215102940695, 0.000056399112131452046, 0.0009750812274999802, 0.0001110017356284192, 0.000060510724482511325, 8.665537547125235e-9, 0.00004252480926654975, 0.04382776427726847, 0.00000808240894735618, 0.013706484947322383, 0.00000405237048924013, 0.001423001634799021, 0.13228537548054842, 0.0003072798155585144, 0.00002843064489833444, 0.000007673378527296145, 0.03230805389819641, 0.007484254286581591, 0.08940602522947921, 0.05415979911471628, 0.04631521472441456, 0.03822320393748805, 0.00023909676389251015, 0.0000023326625860865974, 0.0027563291582637104, 0.1192051582723546, 0.0038241495680213008, 0.00444324252992161, 8.665537547125235e-9, 9.785248443439904e-7, 0.024092592169262867, 0.0050386417511866744, 0.00009682510117770712, 8.665537547125235e-9, 0.009442816204924214, 0.003008068944501033, 0.04446433666780488, 0.0026920148023306663, 0.06757475737202588, 0.00030495403032439157, 0.010848615376418042, 0.08066028302797708, 0.0011557703639849541, 0.07128533025289006, 0.00007453405660848412, 0.07542788653975072 ]
[ 2000, 1996, 11351, 19476, 2003, 1996, 4840, 1010, 2004, 24335, 12589, 10346, 9692, 1010, 2029, 2038, 1037, 4629, 6192, 2090, 1996, 2723, 1998, 2813, 2006, 2028, 2217, 1012, 2178, 3278, 11351, 2003, 21358, 2239, 1010, 2029, 6017, 16096, 1005, 1055, 3539, 17984, 1012, 102, 101, 1996, 27561, 2024, 3722, 1999, 3252, 1024, 4605, 1030, 1011, 1030, 5044, 2007, 2053, 4257, 24196, 1998, 2053, 2430, 11373, 1012, 2027, 2024, 5500, 18030, 2105, 16096, 1010, 3272, 2005, 1037, 4013, 16344, 14499, 2167, 1997, 11351, 16480, 6968, 5833, 9013, 2029, 2003, 5744, 2121, 1998, 2625, 11351, 2098, 1012, 1996, 1041, 20614, 2050, 15199, 2011, 14670, 2003, 14140, 11543, 2006, 16096, 2084, 2006, 11358, 2138, 1997, 2049, 5915, 9963, 1010, 2659, 8992, 1998, 12052, 4338, 1012, 1041, 20614, 2050, 15019, 7392, 2004, 24335, 12589, 3973, 2105, 2037, 27561, 1010, 2021, 3435, 1030, 1011, 1030, 3048, 1041, 20614, 2050, 2008, 12976, 2013, 1996, 12175, 2003, 8642, 2439, 1012, 102, 101, 102, 101, 1027, 1027, 5512, 1027, 1027, 102, 101, 102, 101, 16096, 2001, 6219, 2004, 2019, 1055, 1030, 1011, 1030, 2828, 12175, 2241, 2006, 1996, 14402, 1997, 2049, 8339, 6651, 29237, 2007, 2714, 26732, 1012, 1055, 1030, 1011, 1030, 4127, 2089, 3745, 2037, 5512, 2007, 16104, 1030, 1011, 1030, 3707, 2030, 6623, 16480, 4859, 17625, 1006, 1051, 2278, 1007, 23879, 7616, 1012, 1996, 5512, 1997, 1996, 4592, 2038, 2025, 2042, 3495, 16578, 1010, 2021, 2003, 5071, 2000, 2022, 2714, 2000, 1051, 2278, 3430, 2241, 2006, 5159, 3302, 3609, 3431, 1998, 16096, 1005, 1055, 9625, 4304, 1997, 1016, 1030, 1012, 1030, 2676, 1516, 1017, 1030, 1012, 1030, 2184, 1043, 1013, 4642, 2509, 1012, 1051, 2278, 23879, 7616, 5383, 9671, 8310, 1997, 1996, 9033, 19341, 4570, 19330, 12848, 3170, 1998, 1052, 12541, 11636, 8625, 1010, 3707, 1010, 1998, 10768, 6392, 27694, 1012, 19330, 12848, 3170, 1998, 1052, 12541, 11636, 8625, 2020, 11156, 2006, 16096, 2011, 21514, 1012, 1996, 9754, 4180, 3544, 2000, 2022, 24854, 2802, 2049, 6698, 1012, 21514, 2179, 10124, 8358, 2006, 1996, 3302, 1010, 1998, 1996, 12175, 1005, 1055, 6714, 7127, 1037, 8335, 4304, 1012, 10262, 2008, 2049, 5512, 2003, 2714, 2000, 1051, 2278, 23879, 7616, 1010, 2029, 2846, 1999, 4304, 2013, 1017, 1030, 1012, 1030, 4466, 2000, 1017, 1030, 1012, 1030, 4185, 1043, 1013, 4642, 2509, 1010, 16096, 2052, 2031, 1037, 18499, 25949, 1997, 2340, 1516, 4413, 1003, 1012, 102, 101, 16096, 1005, 1055, 4592, 2763, 3397, 2070, 3815, 1997, 4254, 1030, 1011, 1030, 21726, 2600, 1010, 2170, 13164, 2890, 24141, 8939, 1012, 1996, 13164, 2890, 24141, 8939, 6741, 1997, 16096, 8908, 2090, 5606, 1997, 5563, 2917, 1996, 3302, 2000, 1037, 2261, 7338, 1012, 2070, 2600, 1999, 16096, 1005, 1055, 4563, 2089, 2031, 2042, 21726, 2917, 1996, 2312, 27561, 23714, 1010, 5869, 3540, 5602, 1010, 1998, 6151, 5400, 1012, 102, 101, 102, 101, 1027, 1027, 8753, 1998, 9963, 1027, 1027, 102, 101, 102, 101, 16096, 2003, 1037, 2266, 1997, 1996, 12849, 4948, 2483, 2155, 1997, 12175, 1030, 1011, 1030, 5583, 26732, 1012, 16096, 20347, 1996, 3103, 2012, 2019, 2779, 3292, 1997, 1016, 1030, 1012, 1030, 6564, 2475, 8740, 1006, 4413, 2620, 1030, 1012, 1030, 1015, 13938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.016628785322911174, 0.000026794852583146014, 0.03726872888507073, 0.000037205946535953404, 0.000003201365991622617, 0.0018627997252450793, 0.015854144743892983, 0.0006012494785305765, 0.05716376255473413, 0.0047663396989886956, 0.009395219954040733, 0.02572438918999639, 0.005777510165814123, 0.00022064346482639512, 0.01851609274344398, 0.00005286319457860894, 0.03764529257425616, 0.004603886720814166, 0.0002172101817022948, 0.0024996398002412987, 0.05021317074370327, 0.0010895236212684037, 0.0031410039687234147, 0.00015683793225656573, 0.002754279778006226, 0.030169698959802316, 0.000009475469201680306, 0.034694113929119655, 0.001138772553372845, 0.00006838435374259461, 0.0021513551093521235, 0.04852993620700558, 0.000029702477324215267, 0.000013160091056101775, 0.00181319853076933, 0.0027304264308320426, 0.011769818699698807, 0.027187518011299983, 0.001814546275309354, 0.12612096741853518, 5.572211734156667e-7, 0.014491946924760813, 8.365201638253093e-7, 0.07393321384930995, 0.03879266373183639, 0.00007255465340939474, 0.13661076889644952, 0.059521410909782524, 0.05134482830803583, 0.040769567860500386 ]
[ 1007, 1010, 2090, 1996, 20347, 1997, 7733, 1998, 13035, 1012, 16096, 3138, 1018, 1030, 1012, 1030, 28122, 2620, 2683, 2086, 2000, 3143, 2028, 8753, 1012, 102, 101, 16096, 1005, 1055, 9963, 2558, 2003, 1018, 1030, 1012, 1030, 6191, 2847, 1010, 2437, 2009, 2028, 1997, 1996, 7915, 13618, 26732, 2664, 3603, 1012, 1996, 10174, 4555, 2617, 1997, 1999, 8743, 2401, 1997, 1037, 27423, 9742, 4874, 1996, 2168, 4338, 2004, 16096, 19680, 2015, 2007, 1996, 6714, 8123, 1997, 1996, 12175, 1012, 2023, 6083, 2008, 2045, 2024, 2053, 2350, 8358, 1997, 4304, 2306, 1996, 12175, 1012, 16096, 1005, 1055, 8123, 1997, 9963, 3653, 9623, 8583, 2007, 1037, 2558, 1997, 6255, 4595, 2086, 1010, 2349, 2000, 1996, 8992, 1997, 1996, 3103, 3772, 2588, 1996, 2512, 13102, 5886, 7476, 4338, 1997, 1996, 12175, 1012, 102, 101, 102, 101, 1027, 1027, 4761, 1027, 1027, 102, 101, 102, 101, 16096, 7940, 1999, 1996, 19010, 1997, 1996, 5560, 6036, 2463, 1006, 4293, 2771, 1007, 6705, 12849, 4948, 2483, 6687, 2303, 1012, 1996, 4013, 6914, 15660, 12175, 2018, 6822, 24374, 1010, 2007, 11907, 11970, 28636, 2000, 1996, 4563, 1012, 16096, 3344, 2185, 27018, 8310, 1997, 2023, 4563, 3430, 1012, 2009, 2003, 9662, 2129, 2146, 3283, 1996, 20461, 2724, 4158, 1012, 2429, 2000, 2019, 4106, 1997, 16096, 1005, 1055, 11351, 2075, 6194, 1010, 2049, 3302, 2003, 2062, 2084, 1037, 4551, 2086, 2214, 1012, 2174, 1010, 2023, 2003, 20316, 2007, 1996, 4358, 2287, 1997, 1996, 16096, 1516, 4830, 6593, 8516, 2291, 1997, 2625, 2084, 2531, 2454, 2086, 1025, 2009, 2003, 9832, 2008, 4830, 6593, 8516, 1010, 2349, 2000, 2049, 2235, 2946, 1010, 2071, 2031, 6376, 2108, 3908, 1999, 1037, 2350, 12365, 2005, 2936, 1012, 1996, 4489, 1999, 2287, 10035, 2089, 2022, 4541, 2011, 2019, 3445, 3446, 1997, 11351, 2075, 2013, 1996, 11385, 1997, 1996, 12849, 4948, 2483, 6687, 2303, 1005, 1055, 6215, 1012, 102, 101, 102, 101, 1027, 1027, 4231, 1027, 1027, 102, 101, 102, 101, 16096, 2038, 1037, 4231, 2315, 4830, 6593, 8516, 1010, 2880, 8259, 1006, 22884, 1007, 16096, 1045, 4830, 6593, 8516, 1006, 1013, 100, 1013, 4830, 2243, 1030, 1011, 1030, 18681, 1007, 1012, 2009, 2001, 3603, 1999, 4871, 2579, 2011, 1996, 21514, 12076, 2076, 2049, 4875, 3762, 1999, 2857, 1012, 2122, 4871, 3024, 1996, 2034, 3622, 13964, 1997, 2019, 12175, 4231, 1012, 2012, 1996, 2051, 1010, 2009, 2001, 5459, 2013, 16096, 2011, 1037, 3292, 1997, 3938, 3717, 1006, 5179, 2771, 1007, 1010, 3048, 1999, 1037, 4013, 24170, 8753, 1012, 4830, 6593, 8516, 2003, 4600, 11351, 2098, 1010, 2066, 16096, 1010, 1998, 3774, 1997, 2714, 4475, 1012, 2049, 4761, 2003, 9662, 1010, 2021, 3350, 2013, 1996, 4875, 3762, 6083, 2008, 2009, 7940, 2004, 1037, 15778, 1997, 1996, 12849, 4948, 2483, 6687, 2303, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5456, 1027, 1027, 1027, 102, 101, 102, 101, 4830, 6593, 8516, 2001, 2179, 2006, 2459, 2337, 2807, 2011, 21514, 3260, 2266, 5754, 5292, 11140, 1010, 2096, 12843, 8394, 3746, 22956, 2013, 1996, 12076, 1012, 21514, 2680, 4700, 4871, 1997, 4830, 6593, 8516, 2058, 2019, 8089, 2558, 1997, 1019, 1030, 1012, 1030, 1019, 2847, 1999, 2257, 2857, 1012, 1996, 12076, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.009714855625052149, 0.0020655103183238425, 0.0216996834052759, 0.00016623590847614084, 0.029754872324724395, 0.00003762251108964517, 0.02231504266378272, 0.005008944896764006, 0.062399327326432316, 0.0015590882397415685, 0.003956093941885632, 0.05791146555709474, 0.0022535802237772552, 0.000050464916081606646, 0.020359926677085707, 0.10966160829023949, 0.02258993189017016, 0.025017683497161873, 8.993950219385927e-9, 0.05148693817555449, 0.0074538061267232555, 0.008641333417574774, 0.000009303476769820682, 0.000010594540033273066, 0.000004720734769906008, 0.000038841177968062775, 0.017252543560240356, 0.00024121737254287557, 0.09643209898542912, 0.06969758897588077, 0.0015668453514127289, 0.03153067945957234, 0.00003312714165698543, 8.993950219385927e-9, 0.06630486489530688, 0.007249607881421786, 0.000009586171189734695, 0.05768738430009079, 0.00011197813013091154, 0.1132660562683017, 0.024534633801788115, 0.00008771948565342975, 0.006576237714214997, 0.000003684765303874343, 0.000028982590317520047, 0.02218139865796532, 0.012493765977110837, 0.007935509452036204, 0.0004973862642223418, 0.00010960894775717084 ]
[ 2184, 1030, 1010, 1030, 24643, 3717, 1006, 1020, 1030, 1010, 1030, 28066, 2771, 1007, 2013, 16096, 1998, 2184, 1030, 1010, 1030, 28864, 3717, 1006, 1020, 1030, 1010, 1030, 9683, 2771, 1007, 2013, 4830, 6593, 8516, 2043, 1996, 2034, 3746, 1997, 1996, 4231, 2001, 4110, 1010, 2403, 2781, 2077, 21514, 2081, 2049, 7541, 3921, 1012, 102, 101, 4830, 6593, 8516, 2001, 3322, 4351, 2857, 1006, 22884, 1007, 1015, 1012, 2009, 2001, 2315, 2011, 1996, 2248, 13674, 2586, 1999, 2807, 1010, 2005, 1996, 21637, 4830, 6593, 8516, 2015, 2040, 9613, 4057, 16096, 2006, 1996, 2479, 1997, 19111, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3558, 6459, 1027, 1027, 1027, 102, 101, 102, 101, 4830, 6593, 8516, 2003, 2019, 1000, 8288, 1030, 1011, 1030, 5044, 1000, 2021, 1000, 17431, 18970, 1000, 4874, 9854, 1015, 1030, 1012, 1030, 1020, 2011, 1015, 1030, 1012, 1030, 1018, 2011, 1015, 1030, 1012, 1030, 1016, 3717, 1006, 1014, 1030, 1012, 1030, 5585, 2771, 1095, 1014, 1030, 1012, 1030, 6584, 2771, 1095, 1014, 1030, 1012, 1030, 4293, 2771, 1007, 1012, 2009, 2001, 8048, 2007, 2049, 6493, 8123, 7302, 2875, 16096, 1012, 2066, 16096, 1010, 4830, 6593, 8516, 1005, 1055, 3302, 10637, 2938, 18924, 11351, 2075, 1012, 2009, 2003, 4417, 2011, 2062, 2084, 1037, 6474, 27561, 2007, 1037, 6705, 3618, 2084, 3770, 1049, 1006, 13539, 3027, 1007, 1010, 8131, 2008, 1996, 4231, 2038, 4265, 2116, 28820, 2076, 2049, 2381, 1012, 2012, 2560, 2416, 27561, 2433, 1037, 7399, 4677, 1010, 9104, 2008, 2009, 2001, 3303, 2011, 7246, 2550, 11385, 1010, 4298, 22607, 2013, 16096, 1012, 4830, 6593, 8516, 1005, 1055, 27561, 2089, 5383, 2430, 11373, 1010, 4406, 2216, 2179, 2006, 16096, 1012, 2122, 2838, 1010, 1998, 4830, 6593, 8516, 1005, 1055, 11867, 5886, 9314, 2389, 4338, 1010, 19515, 2008, 1996, 4231, 2003, 19790, 2135, 4758, 2750, 2049, 2235, 2946, 1012, 2066, 16096, 1010, 2049, 2779, 4860, 2003, 2055, 3263, 1047, 1006, 1597, 6421, 1080, 1039, 1025, 1597, 2531, 1080, 1042, 1007, 1012, 102, 101, 4830, 6593, 8516, 6661, 2116, 6459, 2007, 16096, 1012, 2037, 2632, 28759, 2015, 1998, 9185, 29237, 2024, 2200, 2714, 1012, 1996, 2235, 5966, 5769, 2008, 1996, 2686, 4633, 2075, 2832, 2003, 2625, 3161, 2006, 4830, 6593, 8516, 1012, 2049, 2235, 2946, 2052, 2191, 1996, 4195, 1997, 3278, 8310, 1997, 19723, 10893, 2705, 5263, 1012, 2023, 23347, 2007, 16096, 1010, 2029, 2003, 3139, 2011, 1037, 2784, 6741, 1997, 19723, 10893, 2705, 1012, 102, 101, 1996, 2048, 2922, 3746, 2094, 27561, 2006, 4830, 6593, 8516, 2020, 2315, 9353, 8202, 1998, 8292, 13728, 2483, 1010, 2044, 2048, 1997, 1996, 21637, 4830, 6593, 8516, 2015, 1012, 9353, 8202, 2003, 1996, 2922, 11351, 1999, 1996, 2682, 3746, 1010, 1998, 8292, 13728, 2483, 2003, 2379, 1996, 3953, 1010, 3262, 23649, 1999, 5192, 1012, 1996, 27561, 2024, 3998, 1998, 3263, 5563, 1999, 6705, 1010, 4414, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 8753, 1027, 1027, 1027, 102, 101, 102, 101, 4830, 6593, 8516, 1005, 1055, 8753, 2105, 16096, 2003, 2025, 10785, 2124, 1012, 21514, 2001, 1999, 1996, 4946, 1997, 4830, 6593, 8516, 1005, 1055, 8753, 2043, 2087, 1997, 1996, 4871, 2020, 2579, 1010, 2029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00025715312688212263, 0.007699723253290533, 0.12475723075136665, 0.0006322073050243096, 0.0068134113975490875, 0.012972873513519704, 0.08941049652178794, 0.03557493747041398, 0.01989431522238417, 0.08856103490407403, 0.03233730725612392, 0.1291400339949598, 0.00021156360839477397, 0.003525944704687947, 0.004100548523076572, 0.08596916937705952, 0.023179968574424267, 0.007787596459412457, 0.005901322683869989, 0.00016312546482241425, 0.006239839426227493, 0.01604230341105855, 0.004765034566887504, 0.0002893523635743512, 0.03981022643463756, 0.006547325013942255, 0.00016412232260735364, 0.0002913799853587495, 0.0014581264668598914, 0.0003976484955220239, 0.0018828075395667086, 0.06513312095514112, 0.001912256033978098, 1.913317753674637e-7, 4.873763587992151e-8, 0.000007522175377793813, 0.024724364452287227, 0.002183025187812815, 0.05203642491973152, 0.00008620415622850174, 0.0002751214422147577, 0.02621750977941025, 0.000011628262055318242, 0.015396782691291777, 0.00003299879872317668, 0.0001997031121982363, 0.0016878102494223117, 0.0010799295477391959, 0.052058975778276416, 0.00017825224933353388 ]
[ 2081, 12515, 2049, 6635, 8753, 3697, 1012, 4830, 6593, 8516, 20347, 1999, 1996, 4013, 24170, 3257, 1998, 2003, 13050, 2055, 1022, 1080, 2000, 16096, 1005, 1055, 26640, 1012, 2241, 2006, 3274, 24710, 1010, 4830, 6593, 8516, 1005, 1055, 2566, 6610, 10111, 2099, 2442, 2022, 2062, 2084, 2055, 3515, 2463, 1006, 2871, 2771, 1007, 2013, 16096, 2005, 2009, 2000, 3961, 1999, 1037, 6540, 8753, 1012, 1996, 2846, 1997, 20347, 7013, 2011, 1996, 24710, 2001, 8061, 2091, 2011, 1996, 13185, 1997, 2383, 1996, 20347, 3413, 2083, 2685, 2012, 2029, 21514, 5159, 4830, 6593, 8516, 2000, 2022, 2012, 2385, 1024, 4720, 1024, 5709, 21183, 2006, 2654, 2257, 2857, 1010, 2055, 3938, 2463, 1006, 5179, 2771, 1007, 2013, 16096, 2012, 20413, 5594, 1080, 1012, 2006, 2656, 2258, 2807, 1010, 1996, 9594, 3468, 2686, 12772, 5159, 16096, 2005, 2809, 2847, 1998, 2001, 4039, 2000, 3962, 4830, 6593, 8516, 1012, 2009, 2052, 2031, 2042, 2583, 2000, 11949, 2009, 2065, 2009, 2020, 2062, 2084, 2055, 6352, 2463, 1006, 19540, 2771, 1007, 2013, 16096, 1012, 102, 101, 2065, 1999, 1037, 8206, 8753, 2012, 1996, 3292, 2012, 2029, 2009, 2001, 2464, 1010, 4830, 6593, 8516, 1005, 1055, 13943, 2558, 2003, 2055, 2322, 2847, 1012, 2049, 13943, 3177, 2003, 5560, 2184, 1049, 1013, 1055, 1006, 3943, 3027, 1013, 1055, 1007, 1010, 1000, 2055, 1996, 3177, 1997, 1037, 3435, 2448, 2030, 1037, 3254, 6908, 3598, 1000, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2287, 1998, 4761, 1027, 1027, 1027, 102, 101, 102, 101, 4830, 6593, 8516, 2089, 2031, 7940, 2012, 1996, 2168, 2051, 2004, 16096, 1010, 2013, 1996, 20461, 1997, 1996, 12849, 4948, 2483, 6687, 2303, 1012, 2174, 1010, 2009, 2089, 2031, 2719, 2062, 3728, 1010, 3383, 2004, 1041, 20614, 2050, 2013, 1037, 2312, 4254, 2006, 16096, 1012, 2009, 2003, 5186, 9832, 2008, 2009, 2001, 4110, 2011, 16096, 1012, 4830, 6593, 8516, 2089, 2031, 4265, 1037, 2350, 4254, 2105, 2531, 2454, 2086, 3283, 1010, 2029, 4359, 2049, 2946, 1012, 102, 101, 102, 101, 102, 101, 1027, 19817, 16429, 11215, 8838, 1027, 102, 101, 102, 101, 1996, 19817, 16429, 11215, 8838, 1006, 1051, 14693, 5794, 15498, 1024, 1031, 1056, 29692, 2226, 29720, 13006, 29715, 29692, 12762, 1033, 1007, 2020, 1051, 14693, 5794, 2931, 19817, 7140, 9024, 22957, 1997, 1996, 5940, 1998, 6122, 4693, 1010, 3161, 2013, 2105, 12567, 2692, 2000, 3155, 14010, 2692, 1012, 1996, 2773, 19817, 16429, 11215, 8838, 2001, 2034, 2109, 1999, 1996, 6122, 1030, 1011, 1030, 2301, 7472, 8457, 20909, 1012, 2009, 3310, 2013, 1996, 10003, 9289, 2773, 19817, 16429, 2906, 1010, 1996, 18204, 3574, 1997, 2029, 2003, 1000, 2000, 2424, 1000, 1010, 1998, 1996, 4087, 3574, 1997, 2029, 2003, 1000, 2000, 17202, 1000, 1012, 1996, 2773, 19817, 16429, 11215, 8838, 2003, 2109, 2200, 6524, 1999, 5781, 1051, 14693, 5794, 1010, 2004, 2009, 2515, 2025, 5258, 1999, 16376, 4623, 1010, 24402, 15326, 2015, 1010, 2030, 1999, 1996, 22056, 1997, 1996, 19817, 16429, 11215, 8838, 2030, 19817, 7140, 9024, 22957, 1012, 19817, 16429, 11215, 8838, 3605, 1010, 2626, 11086, 1010, 1998, 2864, 2005, 1996, 1051, 14693, 5794, 7015, 5434, 1012, 2027, 2024, 11813, 1999, 3315, 2381, 2004, 1996, 2034, 2124, 2931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.01795465209112339, 0.0014577679609028874, 0.0013250455860930584, 0.00007924401907379696, 0.06297682520028672, 0.01772977168444591, 0.08942793558063693, 0.0321676817202985, 0.017668923541116304, 1.3424885933341898e-8, 0.0000354330031240067, 0.029464973094791114, 0.00006200340174918578, 0.027570652945363438, 0.00006347608983287165, 0.04397133095604761, 0.03234896698471535, 0.0009459272088447256, 0.08141718439715259, 0.008155875594481365, 0.002146503779874258, 0.0001661162237223137, 0.000006361087022408725, 0.03862589857195037, 0.000006842682349844078, 0.0012091926975082285, 8.28790043996674e-9, 7.889334723960944e-9, 0.06225888556026484, 0.0043033537864390825, 0.029374426621562685, 0.015478955705852898, 0.0012362789753333657, 0.00021385295631090264, 0.000022898814356206635, 0.03785454995860677, 0.01587552620715626, 0.004692506861365887, 7.889334723960944e-9, 0.043247439710789794, 0.00006662160583769308, 0.00008654265426891671, 0.01934206816672696, 0.01599277882776299, 0.0002602526321071086, 0.1426882589928654, 0.01806282938669156, 0.08157542801864537, 0.00036336213125506877, 0.000018558831837293157 ]
[ 9929, 1997, 2530, 10644, 2189, 1025, 2035, 3041, 2124, 2931, 9929, 2626, 6730, 2189, 1012, 1996, 19817, 16429, 11215, 8838, 2020, 2112, 1997, 2457, 2135, 2554, 1010, 2004, 4941, 2000, 2037, 2896, 2465, 14562, 1996, 8183, 23296, 17933, 20939, 1012, 2348, 19817, 7140, 9024, 22957, 2823, 2234, 2013, 15716, 7321, 1517, 16595, 8445, 2139, 18834, 26467, 2078, 2089, 2031, 2042, 1996, 2365, 1997, 1037, 3317, 1005, 1055, 6243, 1517, 1996, 19817, 16429, 11215, 8838, 2020, 2053, 6321, 2141, 1012, 1996, 2087, 2590, 19817, 16429, 11215, 8838, 2024, 26234, 13832, 2139, 14542, 19666, 4887, 1010, 17207, 7911, 2483, 2139, 18499, 3540, 7895, 22967, 1010, 3814, 2139, 18834, 26467, 2078, 1010, 14841, 12821, 2015, 1010, 14542, 7174, 4143, 1010, 11721, 22573, 8943, 2139, 4013, 2368, 3540, 1010, 2175, 10867, 29067, 2139, 12256, 10374, 14355, 1010, 1998, 1996, 19758, 11488, 2139, 22939, 1012, 102, 101, 102, 101, 1027, 1027, 2597, 1999, 5781, 2554, 1027, 1027, 102, 101, 102, 101, 2802, 1996, 6122, 2301, 1010, 2308, 1997, 1996, 2457, 2020, 3517, 2000, 2022, 2583, 2000, 6170, 1010, 2377, 5693, 1010, 1998, 4339, 8183, 6169, 2112, 2483, 1010, 2030, 2112, 14428, 2078, 1006, 1037, 5981, 2030, 7982, 1999, 1996, 2433, 1997, 1037, 5961, 1007, 1012, 1996, 13142, 1997, 2122, 2450, 2135, 4813, 2089, 2031, 2419, 2000, 1996, 7896, 1997, 1996, 19817, 16429, 11215, 8838, 1012, 102, 101, 1996, 19817, 16429, 11215, 8838, 2089, 2036, 2031, 13368, 2078, 2349, 1996, 2373, 2308, 2218, 1999, 2670, 2605, 2076, 1996, 5940, 1998, 6122, 4693, 1012, 2308, 2018, 2521, 2062, 2491, 2058, 2455, 6095, 1010, 1998, 1051, 14693, 5794, 2554, 2001, 2521, 2062, 10564, 1997, 2308, 2084, 2020, 2087, 2060, 8384, 1997, 1996, 2051, 1012, 2076, 1996, 16282, 2015, 2116, 2273, 2020, 2185, 1010, 2029, 2187, 2308, 2007, 2062, 3831, 5368, 1010, 1998, 2947, 1010, 2373, 1012, 6600, 1010, 2023, 2554, 2001, 2025, 1000, 10469, 1000, 1010, 4496, 2001, 10346, 1005, 16095, 1010, 2029, 4654, 2389, 3064, 2308, 2096, 2012, 1996, 2168, 2051, 25022, 11890, 18163, 26775, 12322, 2075, 2116, 5919, 1997, 2037, 3268, 1998, 5248, 1012, 102, 101, 2045, 2003, 7669, 1999, 28847, 1996, 19817, 16429, 11215, 8838, 2004, 2593, 24361, 2030, 8390, 1012, 1996, 7835, 2090, 2122, 2048, 4395, 2001, 8552, 1999, 1996, 5781, 3690, 1010, 2144, 8390, 2020, 3227, 2896, 2465, 1010, 1998, 24361, 2018, 2004, 2172, 2051, 2004, 8390, 2000, 23313, 2000, 2037, 7477, 1012, 8183, 23296, 17933, 3366, 2020, 2896, 2465, 1010, 2658, 9929, 2521, 2625, 9768, 2084, 1996, 19817, 16429, 11215, 8838, 1012, 102, 101, 2119, 19817, 7140, 9024, 22957, 1998, 19817, 16429, 11215, 8838, 2626, 1997, 10346, 1005, 16095, 2015, 1010, 2030, 2457, 2135, 2293, 1012, 2308, 2020, 3227, 1996, 3395, 1997, 1996, 7896, 1997, 19817, 7140, 9024, 22957, 1010, 2174, 1024, 1000, 2053, 2060, 2177, 1997, 9736, 2507, 2308, 2061, 4654, 2389, 3064, 1037, 6210, 2306, 2061, 7371, 25022, 11890, 18163, 26775, 20755, 2094, 1037, 6123, 1997, 2931, 16341, 1012, 1000, 1996, 6980, 2090, 1996, 16341, 1997, 2308, 2556, 1999, 1996, 4623, 1997, 1996, 19817, 7140, 9024, 22957, 1998, 2714, 6991, 1999, 1996, 4623, 1997, 1996, 19817, 16429, 11215, 8838, 2003, 1037, 2350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.05738917010089305, 0.016358264108387387, 0.0009701920296304738, 6.951294365768149e-9, 0.020444679860860716, 0.041646333157291965, 0.07263461954285777, 0.04110695653270096, 0.009106118880658206, 0.00201767097078126, 6.951294365768149e-9, 0.0005158560813546676, 0.011982989011410634, 0.017772518967399592, 0.03460564016561729, 0.031087103865774634, 6.951294365768149e-9, 0.0871072132841488, 0.016157195275678837, 0.008091397901136308, 0.06747701929834284, 0.03263455668555178, 0.00003336438238277368, 0.016735970784886412, 0.009882047421523004, 0.005044244143751575, 0.000008306517053960892, 0.019149823606756853, 0.024031247660031896, 6.951294365768149e-9, 0.00016770330979899256, 0.018943932542233387, 9.685590694557116e-7, 6.951294365768149e-9, 0.02706030903875624, 0.04334979084434656, 0.03744025001713812, 0.0033369386602657607, 0.000003096444818636392, 0.09041742820818346, 6.951294365768149e-9, 0.0005967320956783449, 0.04547343853730657, 0.05401630060110743, 0.000824246418516048, 0.00202948304577371, 0.00001885638171170165, 0.007832269419603003, 0.02432704416932168, 0.00017066976174106292 ]
[ 3120, 1997, 6594, 2005, 2715, 15957, 1012, 19817, 16429, 11215, 8838, 4623, 20246, 2000, 2293, 11121, 2000, 3749, 1037, 2625, 7812, 3550, 13120, 1997, 1996, 3395, 2084, 1996, 4623, 1997, 2037, 3287, 14562, 1010, 2007, 1037, 2062, 4512, 2389, 1998, 2625, 17893, 2806, 1997, 3015, 3832, 2000, 2062, 4876, 7861, 9869, 1037, 2062, 16764, 4432, 1997, 6550, 1012, 1996, 19817, 16429, 11215, 8838, 2626, 1999, 1996, 18484, 2080, 1006, 2358, 18981, 16066, 2299, 1007, 1998, 15295, 2080, 1006, 5981, 5961, 1007, 11541, 1012, 4661, 18484, 2891, 1998, 15295, 2891, 1010, 19817, 16429, 11215, 8838, 2036, 2626, 2909, 15338, 2229, 1006, 2576, 5878, 1007, 1010, 2933, 2232, 1006, 20342, 3372, 1007, 1010, 16183, 4904, 1040, 1521, 16095, 1006, 1037, 2293, 3661, 2025, 1999, 2358, 18981, 16066, 2433, 1007, 1010, 18255, 1006, 6440, 2774, 1007, 1010, 1998, 21451, 2850, 1006, 3153, 2774, 1007, 1012, 13325, 2011, 2054, 13655, 2651, 1010, 1996, 19817, 16429, 11215, 8838, 2626, 2053, 9220, 10581, 2015, 2030, 15451, 7849, 2666, 2063, 2774, 1010, 4406, 2037, 19817, 7140, 9024, 8162, 14562, 1012, 7297, 1010, 1999, 4363, 2007, 1996, 19817, 7140, 9024, 8162, 4535, 1010, 1996, 19817, 16429, 11215, 8838, 4876, 5799, 1996, 2895, 1997, 1996, 4823, 2000, 1996, 2895, 1997, 8295, 1012, 19758, 11488, 2139, 22939, 16691, 2023, 1999, 2014, 5961, 10346, 22834, 2072, 2033, 2123, 1005, 15669, 17643, 3619, 3736, 1010, 5517, 2008, 1000, 10346, 22834, 2072, 2033, 24260, 15669, 17643, 3619, 3736, 1013, 2566, 24209, 1005, 7327, 9212, 4606, 11721, 25107, 2368, 1010, 1000, 5421, 2004, 1000, 8404, 7545, 2033, 5760, 6569, 1013, 2029, 3084, 2033, 6170, 2062, 27403, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 2012, 18886, 29446, 1027, 1027, 102, 101, 102, 101, 1996, 2193, 1997, 2573, 7108, 2000, 1996, 19817, 16429, 11215, 8838, 2003, 4358, 2012, 4228, 1030, 1011, 1030, 2048, 2774, 1010, 2021, 8483, 5973, 2013, 2603, 2000, 4805, 1012, 2045, 2024, 1037, 2193, 1997, 4436, 2339, 2019, 6635, 2193, 2003, 2025, 2124, 1012, 1999, 1996, 2457, 2135, 2293, 4535, 2009, 2001, 2691, 2005, 5878, 2000, 2022, 2517, 2004, 2019, 3863, 1997, 4144, 1010, 2030, 1037, 5981, 1010, 2004, 1999, 1037, 15295, 2080, 1012, 2070, 1997, 2122, 2089, 2031, 2042, 2761, 2517, 2011, 2028, 4802, 1025, 2174, 1010, 2070, 2020, 2761, 2019, 5025, 3863, 1997, 4958, 28738, 1010, 2101, 5935, 2362, 1999, 1037, 8356, 1012, 2070, 1997, 2122, 2020, 2090, 2273, 1010, 1998, 2070, 2020, 2090, 1037, 2158, 1998, 1037, 2450, 1012, 2070, 2715, 10195, 17961, 2122, 9578, 2000, 1996, 2158, 2040, 7940, 1996, 3863, 1010, 1998, 2070, 17961, 2068, 2000, 2119, 1996, 2158, 1998, 1996, 2450, 2920, 1012, 2045, 2003, 1037, 2146, 2381, 1997, 2012, 18886, 8569, 3436, 2122, 9578, 2000, 2273, 1010, 2130, 2043, 2035, 3350, 2685, 2000, 1996, 10043, 1012, 102, 101, 2144, 4623, 2001, 3811, 19551, 1010, 2009, 2003, 3697, 2000, 5646, 2043, 1037, 4802, 4092, 2004, 1037, 2450, 2941, 2001, 1037, 2450, 1010, 2030, 1037, 2158, 4092, 2004, 1037, 2450, 1012, 2023, 9909, 2000, 1996, 7669, 1997, 2012, 18886, 29446, 1010, 2926, 1997, 10812, 4898, 1012, 2045, 2003, 2070, 5981, 2004, 2000, 3251, 2030, 2025, 1996, 5878, 2011, 1996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0007057329210833857, 0.09891759193465792, 0.00003017593747579004, 0.002000482552245745, 0.002665075145762966, 7.932865743784385e-9, 7.932865743784385e-9, 0.0056055197911060945, 0.009985560111720394, 0.012410316024841366, 0.00012688916434823292, 0.0017685778082098126, 0.0027747692577175164, 0.1015799497702706, 0.11098252467273328, 0.021355984101765882, 0.008254014706283955, 0.0009365770241248507, 0.00000827829711865891, 0.0009259281939277378, 0.06768851947363172, 0.010607007400789379, 0.0002713281541399789, 7.932865743784385e-9, 0.0008061578323679253, 7.932865743784385e-9, 0.10339964851696054, 0.01996908161345637, 0.06527507175010441, 0.00017053216387259687, 0.07300969288817229, 0.00007272187009094635, 0.00018510751302709824, 7.932865743784385e-9, 0.015601996133231337, 0.021647589716136506, 0.003026281237119716, 0.000005479606934004365, 0.000035231960819851526, 0.007371320999080257, 0.05257410716403989, 7.932865743784385e-9, 0.009742918250366902, 0.0003833371237192947, 0.00003492020466945146, 0.000004461687207289035, 0.017980417333477973, 0.016311495247038954, 0.0008663560391613022, 0.1319252231077955 ]
[ 19817, 16429, 11215, 8838, 5050, 10218, 12320, 5755, 1010, 2144, 2027, 2499, 2306, 1996, 3811, 25022, 11890, 18163, 26775, 20755, 2094, 12472, 1997, 1996, 19817, 7140, 9024, 22957, 1012, 17981, 7987, 12722, 3678, 6083, 2008, 1996, 19817, 16429, 11215, 8838, 1000, 3764, 1999, 2014, 2219, 2376, 2004, 3149, 2098, 2083, 1996, 5755, 1997, 2116, 2500, 1000, 1012, 2011, 26242, 1996, 9384, 9570, 2015, 1997, 19817, 7140, 9024, 8162, 13677, 1010, 1996, 19817, 16429, 11215, 8838, 2020, 2583, 2000, 3443, 2037, 2219, 1000, 4349, 2015, 1997, 1996, 2931, 2376, 1000, 1012, 102, 101, 2045, 2003, 2028, 3862, 6013, 2073, 3154, 2012, 18886, 29446, 2003, 2445, 2000, 1037, 2450, 1010, 12170, 7416, 6935, 2139, 10900, 1006, 2036, 2445, 2004, 3786, 14778, 2480, 1007, 1010, 2021, 1996, 3395, 1997, 1996, 5961, 2003, 2178, 2450, 1010, 6583, 3814, 1012, 1999, 1996, 5961, 1000, 6583, 3814, 1000, 3786, 14778, 2480, 16783, 2014, 2293, 2005, 3814, 1999, 1996, 3151, 10346, 1005, 16095, 2015, 2806, 1010, 2119, 1999, 3408, 1997, 3558, 15752, 1998, 2457, 2135, 17005, 1012, 2023, 5961, 1010, 2065, 2025, 4415, 4417, 2004, 2011, 1037, 2450, 1010, 2052, 2022, 5071, 2000, 2022, 2011, 1037, 2158, 1012, 2070, 6704, 20626, 1996, 2573, 1997, 1996, 12170, 7416, 6935, 2139, 10900, 1010, 2004, 5784, 2031, 4081, 2008, 2014, 18484, 2080, 16783, 1000, 11690, 4792, 1012, 1000, 1996, 19817, 7140, 9024, 8162, 2052, 4050, 3713, 2000, 1996, 14383, 2532, 1006, 2450, 1007, 1025, 1996, 2755, 2008, 1996, 16376, 7982, 3138, 2173, 7580, 2090, 2028, 2450, 1998, 2178, 2003, 2019, 6034, 10958, 15780, 1012, 102, 101, 102, 101, 1027, 1027, 2862, 1997, 19817, 16429, 11215, 8838, 2573, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 10812, 1027, 1027, 1027, 102, 101, 102, 101, 14753, 2050, 14383, 2532, 1010, 4895, 9530, 20240, 3363, 29536, 2015, 17183, 2319, 102, 101, 102, 101, 1027, 1027, 1027, 7108, 1027, 1027, 1027, 102, 101, 102, 101, 21862, 2483, 2003, 14273, 2050, 1998, 2729, 16786, 1024, 6583, 2729, 16786, 2632, 19337, 2522, 2869, 20704, 21820, 102, 101, 26234, 13832, 2139, 14542, 19666, 4887, 102, 101, 2632, 12274, 6169, 2139, 14542, 19666, 4887, 1998, 2003, 13765, 2102, 2139, 6178, 3695, 1024, 14383, 2532, 1050, 1521, 2632, 12274, 6169, 1010, 9033, 1030, 1011, 1030, 2149, 20228, 13923, 102, 101, 17207, 7911, 2483, 1040, 1005, 12456, 3771, 102, 101, 17207, 7911, 2483, 2139, 18499, 3540, 7895, 22967, 102, 101, 3786, 21885, 2139, 22939, 102, 101, 3786, 14778, 2480, 2139, 10900, 1024, 6583, 3814, 1010, 3653, 5753, 1041, 10346, 2050, 27314, 2015, 102, 101, 14542, 7174, 4143, 102, 101, 10254, 1040, 1005, 1998, 17040, 2050, 102, 101, 10768, 15000, 2050, 102, 101, 11721, 22573, 8943, 2139, 4013, 2368, 3540, 1024, 29536, 2015, 1053, 2063, 1521, 1049, 7367, 14905, 20051, 2480, 3972, 2015, 11034, 2015, 25933, 7983, 2015, 102, 101, 11721, 14066, 7442, 20909, 1024, 2522, 28522, 2015, 1041, 18033, 3022, 1006, 2025, 12905, 1007, 102, 101, 2175, 10867, 29067, 2139, 12256, 10374, 14355, 102, 101, 26458, 6216, 19145, 2139, 3123, 2869, 102, 101, 14383, 2532, 1044, 1012, 102, 101, 12559, 4232, 2050, 102, 101, 3814, 2139, 18834, 26467, 2078 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0.02924746795121484, 0.005203051501783374, 0.0000017607587277643522, 0.0024221579722207356, 0.01080653749710283, 0.05178600624764293, 0.05962721367610352, 6.7933282723045294e-9, 0.0016524971929924054, 0.005747140262633554, 0.01098829570685613, 0.03800939444205088, 0.04308119194828894, 0.053913358748580165, 0.000019097738282819913, 0.05231464697179971, 0.10048631064067579, 0.01897409935963867, 0.004909313119517676, 0.0006680668547004355, 0.00004584111386099483, 0.00003080873103232598, 0.004856908325208704, 0.09122531696234382, 0.020585501930321243, 0.0008822428602172341, 0.0001069992715094689, 0.0012124222286847258, 0.0006646444314608609, 0.007869415335451076, 0.0006712925703178245, 0.023930777268978895, 0.00002692195750238078, 0.018155841816419913, 0.023314204927016417, 0.05560200661589133, 0.00013432909053405533, 0.021328741041711893, 0.013241885933085274, 0.0031928714404949672, 0.000006419476259540611, 0.11267170778783604, 0.0283774882175871, 0.0060787893836564254, 0.0005727344216155911, 0.01667020798638832, 0.00001845204687842436, 0.04851751726289717, 0.0006212304506628886, 0.009528863730033608 ]
[ 1024, 26458, 1040, 1005, 21318, 11246, 1010, 2022, 1012, 1049, 21877, 3736, 2139, 29536, 2015, 102, 101, 14841, 12821, 2015, 2139, 18906, 16515, 2213, 102, 101, 1061, 3736, 21700, 102, 101, 102, 101, 102, 101, 1027, 6396, 1030, 1011, 1030, 15669, 25168, 3199, 1010, 10654, 3678, 7875, 10609, 1027, 102, 101, 102, 101, 6396, 1030, 1011, 1030, 15669, 25168, 3199, 1010, 10654, 3678, 7875, 10609, 1006, 5046, 1024, 6396, 1030, 1011, 1030, 15669, 25168, 4875, 24759, 12054, 1010, 10654, 3678, 7875, 10609, 1025, 18055, 1024, 4372, 3022, 1007, 2003, 2019, 3199, 3529, 1996, 2470, 2451, 1997, 6396, 1030, 1011, 1030, 15669, 25168, 1999, 17917, 2389, 21458, 1010, 5120, 1012, 1996, 3199, 2003, 3079, 2011, 5465, 3016, 1010, 2040, 2036, 8617, 1996, 2194, 2237, 1012, 1996, 2069, 7599, 2800, 2024, 2000, 17917, 2389, 21458, 3199, 1010, 2146, 29100, 1010, 3498, 2048, 2000, 2176, 2335, 1037, 2733, 2011, 11320, 6199, 6494, 3619, 6442, 2478, 2079, 28484, 2079, 22238, 2948, 1012, 1996, 2578, 2024, 4114, 2004, 5971, 23010, 1998, 9735, 2024, 2069, 2800, 2044, 6656, 2013, 5465, 3016, 1012, 102, 101, 2090, 4849, 1998, 4662, 1010, 6396, 1030, 1011, 1030, 15669, 25168, 2387, 2176, 2250, 15014, 2000, 1996, 2167, 6536, 1010, 2048, 1997, 2029, 3223, 1996, 2810, 1997, 2019, 27636, 18284, 1998, 15429, 1012, 1996, 2034, 6378, 2005, 2019, 3199, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 2001, 3390, 1999, 3838, 2011, 4496, 6711, 11508, 6583, 5737, 12617, 14339, 1010, 2040, 3818, 2019, 3199, 2012, 24888, 9648, 6979, 5705, 20897, 2050, 1012, 3354, 8090, 2114, 1996, 3199, 3303, 1996, 5046, 4614, 2000, 15391, 1996, 3488, 1010, 2029, 2020, 4201, 2000, 2717, 1999, 1996, 2220, 4120, 1012, 2810, 2012, 10654, 3678, 7875, 10609, 2318, 1999, 3551, 2206, 1996, 3247, 2000, 3857, 4290, 22747, 24876, 10093, 21382, 11129, 2276, 1012, 1996, 3199, 2034, 4354, 2326, 2000, 5741, 4899, 12970, 2379, 2146, 29100, 3762, 2368, 1010, 2021, 2013, 3339, 2366, 17917, 2389, 21458, 3199, 1012, 11320, 6199, 6494, 3619, 6442, 2318, 7599, 2007, 12400, 1999, 1996, 3865, 1010, 2021, 2013, 2960, 2038, 10583, 2007, 4964, 1030, 1011, 1030, 3358, 2948, 1012, 102, 101, 102, 101, 1027, 1027, 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 2220, 5734, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 1027, 1027, 1027, 102, 101, 102, 101, 6396, 1030, 1011, 1030, 15669, 25168, 2001, 2511, 2004, 1037, 5471, 2194, 2237, 2011, 5465, 3016, 1999, 4947, 1012, 2090, 4849, 1998, 4662, 1010, 2176, 4740, 2020, 2081, 2000, 3362, 1996, 2167, 6536, 2011, 2250, 2013, 6396, 1030, 1011, 1030, 15669, 25168, 1012, 1999, 2089, 4849, 1010, 20996, 19058, 2572, 26698, 2368, 2109, 6396, 1030, 1011, 1030, 15669, 25168, 2004, 1037, 2918, 2005, 2048, 3909, 6242, 1010, 2021, 1996, 5590, 3478, 2000, 2272, 3553, 2084, 6070, 5445, 2167, 1012, 2006, 1023, 2089, 4881, 1010, 12305, 8076, 1998, 2957, 1041, 1012, 17845, 2109, 6396, 1030, 1011, 1030, 15669, 25168, 2004, 2119, 1996, 3225, 1998, 4899, 2005, 2037, 5590, 1012, 2348, 2027, 3555, 2000, 2031, 2584, 1996, 6536, 1010, 2045, 2003, 2844, 3350, 2008, 2027, 2071, 2025, 2031, 8885, 2023, 1012, 2006, 2340, 2089, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.09598820806899445, 0.09769755934514616, 0.027624644199641727, 0.000001092037235508735, 0.024723839008360404, 0.024372632670843542, 0.03602883073734806, 0.0005981252686301056, 0.09328133094165593, 0.00006762539196872159, 0.031067659242532374, 0.0016938365646910903, 0.01509223567867563, 0.003249114833389818, 0.08685012898070456, 0.0008420650325811764, 0.047424220794507026, 0.0000021890405324645614, 0.00008791468950496388, 0.0007649324755445584, 0.000021935970263419795, 0.033880189522203404, 0.00023478901375356958, 0.00010441503841423505, 0.0007547911353913762, 0.00003759572690566092, 0.020634263695284077, 9.06910702909703e-7, 0.0000055845638492037965, 0.019841260803377888, 0.0002171262211210905, 0.00006435464527562276, 0.054178669354466795, 0.06343351107610612, 0.0007328314529743826, 0.00025134908197554283, 0.009379539994122388, 0.058132040326683974, 7.81344005450742e-9, 0.012263592663965693, 0.010864589874988157, 0.0007066042672551898, 0.000027795412868037675, 0.02852965006396267, 7.81344005450742e-9, 7.81344005450742e-9, 0.04593717317450447, 0.02318503987957508, 0.0007729776393413544, 0.028349214047859114 ]
[ 2572, 26698, 2368, 1998, 8529, 21201, 2053, 14454, 2063, 1005, 1055, 27636, 4496, 3351, 2187, 6396, 1030, 1011, 1030, 15669, 25168, 1998, 6158, 3081, 1996, 2167, 6536, 2000, 7397, 1012, 2023, 2003, 5240, 2004, 1996, 2034, 3144, 5590, 2000, 1996, 2167, 6536, 1012, 2044, 2048, 2460, 27264, 2229, 1010, 2053, 14454, 2063, 1005, 1055, 27636, 13052, 2187, 6396, 1030, 1011, 1030, 15669, 25168, 2006, 2603, 2089, 4662, 2000, 3362, 1996, 2167, 6536, 1010, 2021, 8007, 2006, 1996, 2709, 1012, 102, 101, 1996, 3909, 6242, 2106, 2025, 5478, 2151, 3563, 6502, 1010, 2348, 2027, 2018, 2000, 2022, 2716, 2011, 2911, 2000, 6396, 1030, 1011, 1030, 15669, 25168, 1010, 2073, 2027, 2020, 9240, 1012, 2027, 2165, 2125, 2013, 1037, 21118, 18087, 2098, 2250, 6167, 2006, 4586, 1012, 2005, 1996, 27636, 15014, 1010, 1037, 18284, 1998, 1037, 15429, 2020, 2734, 1012, 3174, 1030, 1011, 1030, 2048, 10533, 2015, 3369, 1999, 2255, 4849, 2247, 2007, 6067, 2006, 7020, 15669, 25509, 2080, 1012, 4475, 2020, 9687, 2000, 1996, 2609, 2011, 2737, 2044, 1037, 2650, 2018, 2042, 4201, 2000, 1996, 2609, 2013, 1996, 3417, 1012, 1996, 3486, 1030, 1011, 1030, 8316, 1006, 10630, 3027, 1007, 4206, 3886, 15429, 2001, 2949, 1999, 2285, 1012, 1996, 4799, 18284, 2001, 7287, 2011, 4090, 5563, 1006, 4029, 2487, 2011, 11176, 3027, 1007, 2007, 1037, 4578, 1997, 2382, 5563, 1006, 5818, 3027, 1007, 1012, 2009, 2001, 3139, 1999, 2184, 1030, 1010, 1030, 2199, 2675, 5563, 1006, 7287, 1030, 1010, 1030, 2199, 5490, 3027, 1007, 1997, 16985, 2361, 1012, 1996, 18284, 2001, 2949, 2006, 2321, 2337, 4881, 1012, 102, 101, 5471, 7024, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 1999, 4612, 1025, 2009, 2001, 2579, 2039, 2153, 1999, 3874, 1010, 2021, 2138, 1997, 1996, 2117, 2088, 2162, 1996, 2237, 2001, 13377, 1996, 2206, 2095, 1012, 2013, 3918, 1010, 1996, 2548, 5046, 2250, 2486, 2318, 3529, 6396, 1030, 1011, 1030, 15669, 25168, 2007, 2037, 10495, 1052, 3762, 22326, 23713, 4048, 15599, 2948, 1012, 1996, 2948, 2020, 2583, 2000, 2455, 2065, 2045, 2001, 2053, 3256, 2006, 1996, 26158, 1998, 7497, 1998, 4633, 7936, 2009, 1012, 1996, 2034, 3462, 2165, 2173, 2006, 2184, 2089, 1998, 5031, 1997, 2695, 9010, 1012, 2053, 2582, 7599, 2020, 3344, 2041, 2127, 4085, 1025, 2028, 1997, 1996, 7599, 2008, 2095, 2001, 2019, 2250, 10771, 3169, 1012, 1996, 2326, 2036, 3333, 2695, 2012, 1996, 2060, 5046, 7617, 1999, 17917, 2389, 21458, 1012, 1999, 3777, 1010, 1996, 22326, 2015, 2020, 2999, 2007, 24665, 2819, 2386, 15876, 1030, 1011, 1030, 2385, 2497, 18255, 13181, 4757, 2948, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 24888, 9648, 6979, 5705, 20897, 2050, 6378, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2034, 6378, 2005, 2019, 3199, 3529, 6396, 1030, 1011, 1030, 15669, 25168, 2001, 3390, 2011, 1996, 3428, 16417, 2906, 17917, 28849, 27409, 1998, 26138, 17917, 28849, 27409, 1012, 16417, 2906, 2499, 2004, 2708, 20532, 1999, 1996, 17660, 7608, 2291, 1006, 21871, 1007, 1998, 2001, 6150, 1999, 4975, 1996, 8582, 5847, 2058, 1996, 2167, 6536, 1012, 2002, 18035, 2008, 1996, 3199, 1999, 17917, 2389, 21458, 2071, 3710, 2004, 2019, 5057, 4899, 23843, 2005, 18725, 7599, 1010, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0006236118868027479, 0.0050247155090985575, 0.00014068622175609285, 0.06637607440037671, 0.10609523890121603, 0.0036173763402600435, 0.05159580832556735, 3.6197075491429237e-8, 0.000039871268809721286, 0.007117714824720028, 0.00037977683500794643, 0.034531548966960146, 0.000008685366087314784, 0.02244901272577174, 0.022249181176440636, 0.006959852757181063, 0.0011160859434607919, 0.13522945881287282, 0.00007391861732496469, 0.000007204919284032597, 0.000022786582443896714, 0.000046386971856738016, 0.001020214126555286, 0.07136208550615711, 9.874494601117265e-7, 7.984678997939637e-9, 0.003452952885471316, 0.02394076904332514, 0.0003368423700698207, 0.002763409554652638, 0.0003480443192717291, 0.006151944128754378, 0.00008769841947613545, 0.00004478643963597445, 0.007321311076410356, 0.0000019660544029005312, 0.04253208054355363, 0.11270862596324971, 7.984678997939637e-9, 0.0010006630196769698, 7.984678997939637e-9, 0.0001373474678471923, 0.03220173476255561, 7.984678997939637e-9, 0.028939578165649568, 0.10515881799413533, 0.002659883692937947, 0.00032534984361245014, 0.09377082114020162, 0.00002702054384643403 ]
[ 3818, 2008, 1996, 5046, 8260, 8582, 2326, 2022, 3668, 2000, 17917, 2389, 21458, 1012, 102, 101, 1996, 3428, 2253, 2006, 2019, 5590, 2000, 13183, 11711, 2368, 1999, 3838, 2000, 6204, 2582, 12265, 1012, 2037, 3988, 9420, 5531, 2008, 24888, 9648, 9825, 25016, 5946, 1010, 1996, 6058, 11800, 2112, 1997, 7987, 16415, 13327, 8865, 2615, 27688, 2050, 1010, 2001, 1996, 2190, 1030, 1011, 1030, 10897, 2173, 2005, 1037, 2350, 3199, 1012, 2027, 3322, 3740, 2005, 1037, 1015, 1030, 1010, 1030, 5174, 1030, 1011, 1030, 8316, 1006, 1019, 1030, 1010, 1030, 3263, 3027, 1007, 2146, 9271, 1010, 2029, 2071, 4089, 2022, 4423, 2000, 1017, 1030, 1010, 1030, 2199, 5563, 1006, 1023, 1030, 1010, 1030, 5385, 3027, 1007, 1012, 3309, 19666, 6810, 2102, 1998, 13896, 26414, 1010, 2119, 2485, 2000, 2146, 29100, 3762, 2368, 1010, 2020, 5837, 2138, 1996, 2752, 2020, 2205, 2235, 1998, 2349, 2000, 3532, 4633, 3785, 1012, 102, 101, 1996, 3428, 3591, 1996, 2801, 2000, 1996, 2231, 1997, 5120, 1998, 21871, 1010, 2021, 4445, 2283, 2001, 4699, 1999, 19920, 1999, 2019, 3199, 1012, 2027, 11925, 5465, 3016, 1998, 2356, 1996, 2194, 2000, 10084, 2030, 5309, 2455, 2000, 3857, 1996, 3199, 1012, 1996, 2194, 2001, 3893, 1010, 2021, 3223, 2008, 1996, 3199, 2815, 2104, 5046, 6095, 1998, 7040, 1012, 2006, 2570, 2255, 3845, 1010, 7776, 2318, 2007, 17447, 8653, 3489, 4875, 11246, 8337, 2361, 2000, 2707, 2019, 8582, 2326, 2013, 1996, 8240, 2000, 17917, 2389, 21458, 1012, 12135, 1997, 1996, 3199, 2001, 1999, 2112, 2000, 2022, 7119, 2083, 1037, 15481, 3309, 1010, 2029, 2052, 3073, 11366, 2005, 9045, 1010, 1998, 1996, 1000, 20996, 19058, 2572, 26698, 2368, 2820, 1010, 1000, 1037, 3740, 2470, 2276, 1012, 102, 101, 2348, 1996, 3428, 2363, 3988, 2490, 2013, 1996, 2231, 1010, 1996, 3354, 2586, 3985, 11456, 1996, 3199, 2006, 1019, 2281, 3845, 1012, 2027, 3555, 2009, 2071, 2022, 2109, 2004, 2019, 2250, 2486, 2918, 1517, 1998, 2947, 2052, 2022, 1037, 11371, 1997, 1996, 17917, 2389, 21458, 5036, 1517, 1998, 4197, 2041, 2008, 4041, 2001, 6822, 13790, 2007, 2137, 2510, 4804, 1998, 2008, 26138, 2001, 1037, 2510, 2961, 1012, 2013, 2059, 2006, 1996, 5046, 2231, 2318, 8851, 10078, 1996, 3199, 1012, 2012, 2034, 2027, 2356, 1996, 2194, 2000, 13236, 3136, 1010, 2059, 2356, 1996, 2137, 2510, 2000, 3013, 4804, 1012, 2027, 2036, 10290, 2035, 2231, 1030, 1011, 1030, 3079, 3316, 2000, 2025, 3499, 2019, 3199, 2000, 2022, 2328, 2006, 2037, 2598, 1012, 1996, 2231, 2036, 2109, 26138, 1005, 1055, 2510, 4635, 2000, 17666, 2121, 2032, 1010, 2000, 3132, 6698, 1010, 2013, 11828, 1996, 3488, 1012, 1996, 5734, 2552, 1010, 2029, 3223, 2035, 13586, 2000, 2031, 1037, 16427, 2000, 5452, 1010, 2234, 2046, 3466, 2013, 3777, 1010, 6464, 7458, 1996, 3488, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10654, 3678, 7875, 10609, 1027, 1027, 1027, 102, 101, 102, 101, 2206, 1996, 3705, 5471, 4926, 1998, 1996, 4745, 5465, 3016, 6771, 1010, 6396, 1030, 1011, 1030, 15669, 25168, 2001, 8590, 2013, 1037, 5471, 2237, 2000, 1037, 2470, 21080, 1012, 1996, 2342, 2005, 2019, 3199, 2000, 2490, 3293, 4023, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 10375, 1999, 3551, 2007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 9.02567559129613e-7, 0.00007720848419956625, 0.07727792293094843, 0.013356681889758576, 0.00012294672772003365, 0.00027747107182659827, 0.005077177931735509, 9.597578339034554e-9, 0.006096807532828588, 0.0021196788552263358, 0.06957118254636831, 0.01028741283457351, 0.05450341894684406, 0.000934084429635795, 0.0004597555667011083, 0.004911012115330315, 0.015127055205550825, 0.08073211086817851, 0.08580227618451433, 0.01949837773030453, 0.0008199517294775201, 0.006426656400547632, 0.00013228329162066094, 0.08080270333126885, 9.597578339034554e-9, 0.0025434762203867443, 0.09174617303353301, 0.010925620342136086, 0.008853209719927646, 0.00016209910384914813, 0.000004487155305127605, 0.0006198314002700078, 0.000031773186470545726, 4.803877589333369e-7, 0.05546142389783425, 0.07860360670556793, 9.183037648233473e-7, 0.018773780757757767, 0.015730945530295474, 0.00028971422845461373, 9.597578339034554e-9, 0.0006061195485748651, 0.048555424370216343, 0.04230154136317019, 0.011560503484557618, 9.597578339034554e-9, 9.597578339034554e-9, 0.07640532103324665, 0.000017873293767730204, 0.0023905497725439963 ]
[ 1996, 2810, 1997, 4290, 22747, 24876, 10093, 21382, 11129, 2276, 1012, 1996, 2548, 5046, 2473, 2005, 4045, 1998, 3919, 2470, 2734, 2000, 2031, 2019, 5734, 4434, 2007, 2146, 29100, 3762, 2368, 2000, 4604, 8060, 13324, 2007, 1996, 22817, 2951, 2000, 2762, 1012, 1037, 2346, 2001, 2328, 2013, 1996, 4093, 2000, 10654, 3678, 7875, 10609, 1010, 1996, 2609, 1997, 1996, 10093, 21382, 11129, 2276, 1012, 1996, 2327, 1997, 1996, 2940, 2001, 12949, 4257, 2008, 1037, 9271, 2071, 2022, 3833, 1012, 2009, 2001, 2328, 2011, 3228, 1037, 15678, 1030, 1011, 1030, 8316, 1006, 1016, 1030, 1010, 1030, 6535, 2692, 3027, 1007, 2146, 3442, 2930, 1997, 1996, 2346, 1037, 9381, 1997, 2871, 5563, 1006, 7558, 3027, 1007, 1012, 5949, 3514, 2001, 8542, 2006, 1996, 11127, 2000, 14187, 2009, 1012, 1037, 3760, 2346, 2001, 2328, 2000, 1996, 2167, 1997, 1996, 9271, 2000, 3499, 2346, 3665, 2096, 1996, 9271, 2001, 1999, 2224, 1012, 102, 101, 1996, 3199, 2001, 4321, 2109, 2000, 4875, 2000, 2146, 29100, 3762, 2368, 1010, 2348, 1037, 3132, 2193, 1997, 7599, 2020, 10607, 2000, 1996, 8240, 1012, 1999, 2804, 2000, 8060, 13324, 1010, 1996, 2948, 2020, 2109, 2000, 3665, 5073, 1998, 6636, 1010, 3391, 2076, 3467, 1012, 2578, 2020, 2761, 3498, 2011, 8301, 1011, 13958, 1055, 3501, 16415, 14151, 1010, 2021, 2020, 2101, 2579, 2058, 2011, 17917, 2389, 21458, 1030, 1011, 1030, 4875, 1010, 2119, 1997, 2029, 2018, 2037, 27664, 15376, 2948, 8895, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 1012, 2006, 1017, 2238, 3359, 1010, 1037, 18594, 2007, 1037, 21726, 7412, 2001, 9687, 2011, 2911, 2013, 2146, 29100, 3762, 2368, 2000, 6396, 1030, 1011, 1030, 15669, 25168, 1998, 2741, 2006, 2604, 1037, 11939, 6643, 1030, 1011, 1030, 2861, 22440, 2000, 1996, 8240, 2005, 3949, 1012, 2044, 1996, 10093, 21382, 11129, 2276, 2701, 1999, 3326, 1010, 1996, 3199, 2001, 2579, 2058, 2011, 5465, 3016, 1012, 2076, 2023, 2558, 1010, 2146, 29100, 3762, 2368, 2001, 2366, 2011, 1037, 4946, 2094, 2930, 1997, 27112, 7265, 1999, 13896, 26414, 1012, 102, 101, 17917, 2389, 21458, 3199, 1010, 2146, 29100, 1010, 2441, 1999, 3339, 1010, 4352, 2488, 4128, 1998, 4434, 2007, 5115, 7599, 2000, 1996, 8240, 1012, 2012, 1996, 2168, 2051, 1010, 11320, 6199, 6494, 3619, 6442, 2511, 2993, 2012, 17917, 2389, 21458, 3199, 1012, 2076, 1996, 2621, 1997, 3339, 1010, 1996, 5046, 11508, 2820, 8895, 2048, 12400, 2012, 6396, 1030, 1011, 1030, 15669, 25168, 3199, 2000, 2490, 2037, 15014, 1012, 2076, 1996, 2397, 3955, 2045, 2001, 2210, 3467, 4023, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 1010, 2021, 1996, 2250, 6167, 2001, 2921, 6515, 2005, 1996, 2261, 2967, 1997, 6950, 2040, 2106, 3942, 1012, 1037, 2557, 2240, 9377, 2121, 2001, 5361, 2012, 4290, 2015, 3726, 21600, 27241, 2102, 1999, 3150, 1010, 4525, 1999, 6396, 1030, 1011, 1030, 15669, 25168, 4909, 1037, 7026, 4434, 1012, 1037, 2557, 14400, 2001, 3525, 5361, 2012, 1996, 3199, 1012, 102, 101, 2076, 1996, 3865, 1010, 1996, 2578, 2020, 6360, 2579, 2058, 2011, 11320, 6199, 6494, 3619, 6442, 1010, 2040, 2109, 2119, 2235, 2948, 1998, 12400, 1012, 2122, 6360, 2150, 2062, 3180, 1998, 2150, 2139, 13743, 5115, 2578, 2296, 3481, 15864, 1012, 11320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0010267787096252977, 0.000057392451620335444, 0.004073030305234254, 0.0009610110546079475, 0.00045452942765965943, 0.0000012786514006445944, 0.0000037959358270985506, 0.03238716533337968, 0.07308180414523166, 0.03899738803266153, 0.08581782444033322, 0.000011015307308639682, 0.018643153844697818, 0.0773908231911835, 0.0021343887373811705, 0.07254030925626948, 0.060984674197389746, 0.0002582638609065697, 0.0000027719343176298494, 0.0060595888354098085, 0.00008387317057665049, 0.000014942041759955637, 0.036220060980233545, 0.05861752099815517, 0.023926127220841305, 0.03807778689559939, 0.00038594599677262045, 0.005530763237017276, 0.0007028731986885951, 0.005881373961217242, 0.0006424121848689473, 0.02473346752932275, 0.005115906627417127, 0.0013766259098953923, 8.327892443604438e-9, 0.0426076901665614, 0.000004053798275846867, 0.023891399005357965, 0.00020582596732921852, 0.01753940015279509, 0.00027297016128986995, 0.08305804098230894, 0.008754803111126436, 0.002857835224862291, 0.0005095351987765318, 0.015664790830016033, 0.12291226345893776, 0.0015859937513705423, 0.000004482752918584024, 0.003934239505369469 ]
[ 6199, 6494, 3619, 6442, 2999, 1996, 7739, 2326, 2007, 1037, 2048, 1030, 1011, 1030, 3194, 2274, 1030, 1011, 1030, 2835, 2948, 1999, 2960, 1010, 2029, 3013, 1996, 3465, 1997, 3665, 6022, 1012, 1999, 2857, 1010, 7289, 16415, 2063, 2511, 2993, 2012, 17917, 2389, 21458, 3199, 1998, 5520, 2578, 2000, 6396, 1030, 1011, 1030, 15669, 25168, 1010, 2021, 2023, 2069, 6354, 1996, 2028, 2161, 1012, 1999, 2727, 1010, 11320, 6199, 6494, 3619, 6442, 1998, 5465, 3016, 2081, 2019, 3820, 2008, 1996, 8582, 2052, 4875, 2320, 2566, 2733, 2076, 1996, 3467, 1998, 2039, 2000, 2274, 2335, 2566, 2733, 2076, 1996, 2621, 1012, 1996, 8582, 2052, 2224, 1037, 2079, 28484, 2079, 22238, 1010, 2029, 2001, 2036, 2109, 2005, 7599, 2013, 2146, 29100, 3762, 2368, 2000, 17917, 5243, 3199, 2005, 3573, 4496, 17140, 13183, 11711, 2368, 13970, 13687, 25377, 7088, 1012, 102, 101, 102, 101, 1027, 1027, 4128, 1027, 1027, 102, 101, 102, 101, 6396, 1030, 1011, 1030, 15669, 25168, 3199, 1010, 10654, 3678, 7875, 10609, 1010, 2003, 2284, 2012, 10654, 3678, 7875, 10609, 1010, 1014, 1030, 1012, 1030, 3515, 11339, 2661, 1006, 1015, 1030, 1012, 1030, 2322, 2463, 1025, 1014, 1030, 1012, 1030, 4293, 2771, 1007, 2225, 1997, 1996, 2364, 4093, 1997, 6396, 1030, 1011, 1030, 15669, 25168, 1012, 2009, 3774, 1997, 1037, 2309, 3770, 2620, 1030, 1011, 1030, 8316, 1006, 1016, 1030, 1010, 1030, 3515, 2487, 3027, 1007, 2146, 1998, 2382, 1030, 1011, 1030, 8316, 1006, 5818, 3027, 1007, 2898, 11127, 9271, 1012, 2009, 2003, 2284, 2012, 2871, 5563, 1006, 7558, 3027, 1007, 6678, 1998, 13115, 2260, 1013, 2382, 1012, 1996, 3199, 2038, 1037, 2309, 2382, 1030, 1011, 1030, 2011, 1030, 1011, 1030, 4293, 1030, 1011, 1030, 8316, 1006, 5818, 2011, 22376, 3027, 1007, 20376, 1012, 1996, 3199, 2038, 23843, 3462, 2592, 2326, 2021, 14087, 5536, 1998, 18284, 4128, 1012, 102, 101, 102, 101, 1027, 1027, 7608, 1998, 14345, 1027, 1027, 102, 101, 102, 101, 1996, 2069, 8582, 2000, 3073, 2326, 2000, 1998, 2013, 10654, 3678, 7875, 10609, 2003, 11320, 6199, 6494, 3619, 6442, 1010, 2029, 5748, 2385, 1030, 1011, 1030, 2835, 2079, 28484, 2079, 22238, 2948, 2000, 17917, 2389, 21458, 3199, 1010, 2146, 29100, 1012, 1996, 8582, 3640, 2048, 7599, 2566, 2733, 2076, 1996, 3467, 1998, 2176, 7599, 2566, 2733, 2076, 1996, 2621, 1012, 2035, 6712, 2015, 2024, 6111, 7599, 4114, 2011, 5465, 3016, 1998, 9735, 2024, 2069, 2800, 2083, 1996, 2194, 1012, 8138, 4748, 21929, 6111, 7599, 2024, 2036, 2823, 3498, 1012, 2012, 2146, 29100, 3762, 2368, 1010, 7264, 2024, 3024, 9921, 2000, 19817, 22225, 16415, 3199, 1998, 9977, 3199, 1010, 14535, 10867, 8913, 2078, 1012, 102, 101, 102, 101, 102, 101, 1027, 3434, 11655, 10484, 1027, 102, 101, 102, 101, 3434, 11655, 10484, 1006, 1013, 1149, 13578, 29685, 2140, 1013, 1010, 4952, 1025, 2413, 1024, 1031, 1048, 9148, 1038, 29694, 13006, 1006, 1114, 1007, 1033, 1025, 1018, 2254, 12861, 1516, 1020, 2254, 8784, 1007, 2001, 1037, 2413, 11490, 1998, 12235, 1997, 1037, 2291, 1997, 3752, 1998, 3015, 2005, 2224, 2011, 1996, 6397, 2030, 17453, 18234, 1012, 2010, 2291, 3464, 2124, 4969, 3432, 2004, 11655, 10484, 1012, 102, 101, 20641, 1999, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 1, 1, 0, 0, 0 ]
[ 0.005074741016767764, 0.00011160898295824737, 8.88698509919307e-9, 0.015113756505831723, 0.00013431599813117578, 0.0000928095537075406, 0.019609611621809693, 0.0011196228311276498, 0.00003304870479166153, 0.00015520857756331504, 0.009839683725788993, 0.00007195413515199098, 0.007423753743588496, 8.88698509919307e-9, 0.000006344462944285477, 0.017127795175618916, 0.0002672799261989711, 0.20517352201438438, 0.0013834091103984395, 0.052356819456970384, 0.00438924682145636, 0.00037638432281471025, 0.048674883172996, 0.003478941661233346, 0.015446089231016957, 0.0004430482650712694, 0.022127006730841697, 0.0000021309972938349007, 0.002576031714849446, 0.028269668550518667, 0.0003292402173481052, 0.046209660859079925, 0.0034607900395367606, 0.000016014741215021248, 0.01248875251734158, 0.07939069028806581, 0.08469188078961329, 0.005084652135653916, 0.005595426429399849, 0.0860846341116655, 0.0015003120869624552, 0.00482279682007695, 0.013966987976596592, 0.07060893791964334, 0.020647735340626614, 0.028838362436905327, 0.024839613958696587, 8.88698509919307e-9, 0.050480311528618226, 0.00006445613017289054 ]
[ 2159, 2004, 1037, 2765, 1997, 2019, 2220, 5593, 4926, 1010, 11655, 10484, 15682, 2010, 11980, 2096, 2145, 1037, 2879, 1012, 2002, 23081, 1999, 2010, 2495, 1998, 2363, 6566, 2000, 2605, 1005, 1055, 2548, 2820, 2005, 6397, 3360, 1012, 2096, 2145, 1037, 3076, 2045, 1010, 2002, 2211, 4975, 1037, 2291, 1997, 11937, 6593, 9463, 3642, 2008, 2071, 3499, 6397, 2111, 2000, 3191, 1998, 4339, 2855, 1998, 18228, 1012, 4427, 2011, 1996, 2510, 19888, 9888, 1997, 2798, 22635, 2099, 1010, 11655, 10484, 3833, 1037, 2047, 4118, 2328, 4919, 2005, 1996, 3791, 1997, 1996, 6397, 1012, 2002, 3591, 2010, 2147, 2000, 2010, 12746, 2005, 1996, 2034, 2051, 1999, 11617, 1012, 102, 101, 1999, 20480, 1010, 11655, 10484, 2366, 2004, 1037, 2934, 2012, 1996, 2820, 1998, 5632, 2019, 20704, 23909, 2004, 1037, 5455, 1010, 2021, 2002, 4321, 2985, 1996, 6893, 1997, 2010, 2166, 28596, 1998, 8402, 2010, 2291, 1012, 2009, 2253, 15171, 2011, 2087, 19156, 2005, 2116, 2086, 2044, 2010, 2331, 1010, 2021, 13082, 3012, 2038, 3858, 11655, 10484, 2004, 1037, 6208, 11028, 1010, 1998, 2009, 2038, 2042, 5967, 2005, 2224, 1999, 4155, 4969, 1012, 102, 101, 102, 101, 1027, 1027, 2220, 2166, 1027, 1027, 102, 101, 102, 101, 3434, 11655, 10484, 2001, 2141, 1999, 8648, 19716, 4710, 1010, 2605, 1010, 1037, 2235, 2237, 2055, 3174, 2661, 2264, 1997, 3000, 1012, 2002, 1998, 2010, 2093, 6422, 9504, 1516, 26194, 6615, 1006, 1038, 1012, 12387, 1007, 1010, 3434, 1030, 1011, 1030, 4079, 1006, 1038, 1012, 13397, 1007, 1010, 1998, 5032, 24550, 1006, 1038, 1012, 14112, 1007, 1516, 2973, 2007, 2037, 3008, 1010, 4079, 1030, 1011, 1030, 10731, 1998, 26194, 1010, 2006, 2093, 9076, 1997, 2455, 1998, 20597, 1999, 1996, 10833, 1012, 4079, 1030, 1011, 1030, 10731, 5224, 1037, 3144, 6960, 2004, 1037, 5898, 2121, 1998, 9338, 1997, 3586, 26997, 1012, 102, 101, 2004, 2574, 2004, 2002, 2071, 3328, 1010, 11655, 10484, 2985, 2051, 2652, 1999, 2010, 2269, 1005, 1055, 8395, 1012, 2012, 1996, 2287, 1997, 2093, 1010, 1996, 2775, 2001, 9121, 2075, 2007, 2070, 1997, 1996, 5906, 1010, 2667, 2000, 2191, 8198, 1999, 1037, 3538, 1997, 5898, 2007, 2019, 22091, 2140, 1012, 29156, 4876, 2012, 1996, 3302, 1010, 2002, 4508, 2091, 2524, 2000, 3298, 1996, 2391, 1999, 1010, 1998, 1996, 22091, 2140, 3887, 2408, 1996, 7823, 5898, 1998, 4930, 2032, 1999, 2028, 1997, 2010, 2159, 1012, 1037, 2334, 7522, 5391, 1998, 8983, 2098, 1996, 5360, 3239, 1998, 2130, 5412, 2005, 11655, 10484, 2000, 2022, 2777, 1996, 2279, 2154, 1999, 3000, 2011, 1037, 3811, 9768, 9431, 1010, 2021, 2053, 3949, 2071, 3828, 1996, 5591, 5812, 1012, 1999, 12812, 1010, 1996, 2402, 2879, 4265, 2005, 3134, 2004, 1996, 6357, 2150, 8949, 10372, 1025, 2019, 8985, 2029, 2059, 3659, 2000, 2010, 2060, 3239, 1010, 3497, 2349, 2000, 13026, 6728, 11039, 8865, 10092, 1012, 1037, 102, 101, 3434, 11655, 10484, 5175, 1996, 21741, 1997, 1996, 8985, 2021, 2011, 1996, 2287, 1997, 2274, 2002, 2001, 3294, 6397, 1999, 2119, 2159, 1012, 2349, 2000, 2010, 2402, 2287, 1010, 11655, 10484, 2106, 2025, 5382, 2012, 2034, 2008, 2002, 2018, 2439, 2010, 4356, 1010, 1998, 2411, 2356, 2339, 2009, 2001, 2467, 2601, 1012, 2010, 7422 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0359952249103094, 0.0457761008258527, 0.07089332946693701, 0.000008837749415127604, 0.1058096817105266, 0.0018561495524548684, 0.00025679824004643296, 0.000264225599932981, 0.00004484682199164665, 0.000704794948521079, 0.00291881139134127, 3.9559120070173446e-8, 0.003766823927498478, 0.018861433095941592, 0.06496775572717342, 0.0025005087300639084, 0.06895916399846047, 0.000008023320808327065, 0.14615475244910764, 0.000691393639552355, 0.00025015544300060073, 0.00002066363631131394, 0.07583386793268605, 0.000437944551801609, 0.012844057662734073, 0.0029164322170075027, 0.009832478629950946, 0.03126122071067467, 9.750247412529171e-9, 0.00016179664906660046, 0.020863094851077815, 0.00000576405726496884, 0.00000433161252528561, 0.07854012344236735, 0.00006004361643336285, 0.020233258952930922, 0.06995907058193117, 0.00001412254759107618, 0.000027719348738025433, 0.010706151088268752, 0.000027677045824914212, 0.00800524159414673, 0.001180104132924351, 0.0000188922872174285, 0.00022717470824679966, 0.0017813296423278945, 0.021764038006047284, 0.0351963157621078, 0.000021706882288134328, 0.027366516991203734 ]
[ 3008, 2081, 2307, 4073, 1516, 3243, 13191, 2005, 1996, 3690, 1516, 2000, 5333, 2037, 6587, 2775, 1999, 1037, 3671, 4827, 1010, 1998, 2002, 4013, 17668, 2098, 1999, 2037, 2729, 1012, 2002, 4342, 2000, 22149, 1996, 2352, 1998, 2406, 10425, 2007, 11942, 2015, 2010, 2269, 2002, 15557, 2005, 2032, 1010, 1998, 2002, 3473, 2039, 9428, 2012, 3521, 2007, 2010, 11980, 1012, 11655, 10484, 1005, 1055, 4408, 1998, 5541, 2568, 7622, 1996, 2334, 5089, 1998, 8656, 1010, 1998, 2002, 2001, 28959, 2007, 3020, 2495, 1012, 102, 101, 102, 101, 1027, 1027, 2495, 1027, 1027, 102, 101, 102, 101, 11655, 10484, 3273, 1999, 8648, 19716, 4710, 2127, 1996, 2287, 1997, 2702, 1012, 2138, 1997, 2010, 5257, 1997, 4454, 1998, 29454, 29206, 3401, 1010, 11655, 10484, 2001, 7936, 2000, 5463, 2028, 1997, 1996, 2034, 2816, 2005, 6397, 2336, 1999, 1996, 2088, 1010, 1996, 2548, 2820, 2005, 6397, 3360, 1010, 2144, 4096, 2000, 1996, 2120, 2820, 2005, 6397, 3360, 1999, 3000, 1012, 11655, 10484, 1010, 1996, 2197, 1997, 1996, 2155, 1005, 1055, 2336, 2000, 2681, 1996, 4398, 1010, 7745, 2005, 1996, 2082, 1999, 2337, 12552, 1012, 2012, 2008, 2051, 1996, 2548, 2820, 2001, 2019, 2104, 11263, 25848, 1010, 13456, 3270, 19250, 6771, 1010, 2021, 2009, 3024, 1037, 4659, 6540, 4044, 2005, 6397, 2336, 2000, 4553, 1998, 5482, 2362, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5292, 26230, 2291, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2336, 2020, 4036, 2129, 2000, 3191, 2011, 1037, 2291, 14917, 2011, 1996, 2082, 1005, 1055, 3910, 1010, 24632, 5292, 26230, 1012, 2025, 6397, 2370, 1010, 5292, 26230, 2001, 1037, 5462, 15246, 2040, 7422, 2010, 2166, 2000, 5094, 1996, 6397, 1012, 2002, 2881, 1998, 7609, 1037, 2235, 3075, 1997, 2808, 2005, 1996, 2336, 2478, 1037, 6028, 1997, 7861, 15853, 7741, 3082, 3259, 2007, 1996, 2992, 15738, 2015, 1997, 3763, 4144, 1012, 8141, 2052, 7637, 2037, 3093, 2058, 1996, 3793, 1010, 22346, 2075, 3254, 2021, 1999, 1037, 3151, 4827, 2029, 5292, 26230, 2071, 9120, 1012, 102, 101, 11655, 10484, 2001, 3271, 2011, 1996, 5292, 26230, 2808, 1010, 2021, 2002, 2036, 13905, 2098, 2058, 2037, 3768, 1997, 5995, 1024, 1996, 3815, 1997, 2592, 2921, 1999, 2107, 2808, 2001, 9352, 2235, 1012, 2138, 1996, 2992, 4144, 2020, 2081, 1999, 1037, 3375, 2396, 29196, 2389, 2832, 2478, 4954, 3259, 4508, 2114, 6967, 7318, 1010, 1996, 2336, 2071, 2025, 3246, 2000, 1000, 4339, 1000, 2011, 3209, 1012, 2061, 2008, 1996, 2402, 3434, 2071, 4604, 4144, 2067, 2188, 1010, 4079, 1030, 1011, 1030, 10731, 3024, 2032, 2007, 2019, 12440, 13405, 2013, 9017, 1997, 4317, 5898, 1012, 2009, 2001, 1037, 4030, 1998, 13988, 17198, 8462, 2832, 1010, 2021, 1996, 2879, 2071, 2012, 2560, 7637, 1996, 4144, 1005, 22106, 1998, 4339, 2010, 2034, 11746, 1012, 102, 101, 1996, 2192, 10419, 2098, 5292, 26230, 2808, 2035, 2234, 1999, 8796, 10826, 1998, 15871, 1012, 2027, 2020, 4450, 19426, 3833, 1010, 19401, 2135, 10059, 1010, 1998, 6551, 6450, 2000, 6855, 1024, 2043, 5292, 26230, 1005, 1055, 2082, 2034, 2441, 1010, 2009, 2018, 1037, 2561, 1997, 2093, 2808, 1012, 2750, 2037, 4009, 12221, 1010, 5292, 26230, 3755, 2037, 2224, 2007, 27838, 2389, 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, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0013390343824104503, 0.00005170224163026364, 0.0038863111180478436, 0.01660909513274423, 0.00004754781756881802, 0.005152260770923119, 0.00004086338412937981, 0.00046108945028822395, 0.085801956051397, 0.14785000787516595, 0.007486842009147831, 0.00043293845162676654, 0.0005405566619226033, 0.08094925869264599, 0.01235117771007552, 0.0005095717282516342, 0.05535604531945441, 0.00014058081818681142, 0.0000035280448810354034, 0.0428428639549252, 0.0033862728675049638, 0.07523677772040846, 0.000027272073081642655, 0.03873140703716629, 9.166453164696049e-9, 0.0028183475377899386, 0.000260775970310828, 9.166453164696049e-9, 0.00040111624444710636, 0.006391717566892099, 0.000002566747085832531, 0.0013012232280021061, 0.03610300439509402, 0.000002042065398198732, 0.0003864199925487799, 0.000004981489037604083, 0.012566711914328363, 0.024773656274072037, 0.0002164495203934469, 0.0045135836347555535, 0.01208971252844644, 0.2140348182534774, 0.00026327777530464527, 0.000012651182076626852, 0.03206060299137305, 0.000029435027206507347, 0.00011984616643626667, 0.0015287881436257833, 9.166453164696049e-9, 0.07088328253895328 ]
[ 2000, 2032, 1010, 1996, 2808, 3591, 1037, 2047, 1998, 8502, 2291, 2029, 2052, 2022, 12192, 4844, 2011, 2216, 2007, 2159, 18743, 1012, 5121, 2053, 2488, 4118, 2664, 5839, 2005, 1996, 6397, 2000, 3191, 1010, 1998, 1996, 2808, 2790, 1516, 2000, 1996, 19985, 1516, 2000, 3749, 1996, 2190, 9353, 4048, 13331, 3468, 3463, 1012, 11655, 10484, 1998, 2010, 2082, 15416, 1010, 2174, 1010, 2071, 11487, 2035, 2205, 2092, 1996, 2808, 1005, 14527, 12546, 1012, 9690, 1010, 5292, 26230, 1005, 1055, 2092, 1030, 1011, 1030, 6808, 2098, 4073, 2145, 3024, 1037, 12687, 6344, 1516, 1996, 5038, 1997, 1996, 3168, 1997, 3543, 2004, 1037, 2147, 3085, 5656, 2005, 4356, 3238, 3752, 1012, 5292, 26230, 1005, 1055, 2069, 3167, 22718, 2001, 2008, 2002, 2001, 1000, 3331, 2000, 1996, 3093, 1031, 2007, 1033, 1996, 2653, 1997, 1996, 3239, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 3836, 1998, 5455, 1027, 1027, 1027, 102, 101, 102, 101, 11655, 10484, 3191, 1996, 5292, 26230, 2808, 8385, 1010, 1998, 2002, 2001, 8053, 2012, 6528, 6024, 2000, 1996, 8700, 7899, 3253, 2011, 1996, 2082, 1012, 2002, 4928, 2000, 2022, 1037, 3811, 27029, 3076, 1998, 1010, 2044, 2002, 2018, 9069, 1996, 2082, 1005, 1055, 8882, 1010, 2002, 2001, 3202, 2356, 2000, 3961, 2004, 1037, 3836, 1005, 1055, 14895, 1012, 2011, 11040, 1010, 2002, 2001, 8319, 2000, 1037, 2440, 22661, 1012, 2005, 2172, 1997, 1996, 2717, 1997, 2010, 2166, 1010, 11655, 10484, 4370, 2012, 1996, 2820, 2073, 2002, 4036, 2381, 1010, 10988, 1010, 1998, 11208, 1012, 102, 101, 11655, 10484, 1005, 1055, 4540, 2005, 2189, 9124, 2032, 2000, 2468, 2019, 8885, 3526, 2923, 1998, 16397, 1999, 4280, 4036, 2011, 3744, 1030, 1011, 1030, 6141, 9388, 22934, 1012, 2101, 1999, 2166, 1010, 2010, 3315, 11725, 2419, 2032, 2000, 2377, 1996, 5812, 2005, 5231, 2035, 2058, 2605, 1012, 1037, 26092, 3234, 1010, 11655, 10484, 2218, 1996, 2597, 1997, 16397, 1999, 3000, 2012, 1996, 2277, 1997, 3002, 1030, 1011, 1030, 9473, 1030, 1011, 1030, 4078, 1030, 1011, 1030, 29008, 2013, 10700, 2000, 10011, 1010, 1998, 2101, 2012, 1996, 2277, 1997, 3002, 1030, 1011, 1030, 6320, 1030, 1011, 1030, 2139, 1030, 1011, 1030, 2703, 1012, 102, 101, 102, 101, 1027, 1027, 11655, 10484, 2291, 1027, 1027, 102, 101, 102, 101, 11655, 10484, 2001, 4340, 2000, 4827, 1037, 2291, 1997, 3752, 1998, 3015, 2008, 2071, 2958, 1996, 4187, 6578, 1999, 4807, 2090, 1996, 19985, 1998, 1996, 6397, 1012, 1999, 2010, 2219, 2616, 1024, 1000, 3229, 2000, 4807, 1999, 1996, 2898, 3367, 3168, 2003, 3229, 2000, 3716, 1010, 1998, 2008, 2003, 8995, 2135, 2590, 2005, 2149, 2065, 2057, 1031, 1996, 6397, 1033, 2024, 2025, 2000, 2175, 2006, 2108, 26626, 2030, 9161, 3550, 2011, 24707, 11020, 18537, 19985, 2111, 1012, 2057, 2079, 2025, 2342, 12063, 1010, 4496, 2079, 2057, 2342, 2000, 2022, 6966, 2057, 2024, 8211, 1012, 2057, 2442, 2022, 5845, 2004, 19635, 1516, 1998, 4807, 2003, 1996, 2126, 2023, 2064, 2022, 2716, 2055, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 7321, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 11723, 1010, 11655, 10484, 4342, 1997, 1037, 4807, 2291, 14917, 2011, 2952, 2798, 22635, 2099, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 0.01671868472392066, 0.016122583413011073, 0.00006731632547610581, 0.0002591137697775191, 0.009930936371566983, 0.0020903218109515165, 0.000003994784353031544, 0.001260602349052, 0.08329395365421621, 0.0002579146142916912, 0.07266623834305737, 0.0010850101297074297, 0.086641821064756, 0.046328985461481044, 0.00006538278635820429, 0.004143866041663424, 0.0000071361580343127165, 0.01712665805880603, 0.09213648030844655, 0.011520695286583197, 0.0013105119362517253, 0.006103588224395249, 0.009754030457968054, 0.006123276708533603, 0.003367430684811929, 0.006980037921819944, 0.00011143604860220784, 0.0035876863966875575, 0.06121824218229286, 0.0016590155687143788, 0.1333429532882988, 0.00013530341957146858, 0.1317814887035254, 0.000016332564511054965, 0.00002219294749652111, 0.0016779544717636563, 0.00001868368922685296, 0.04174035243133474, 0.0013335766273161762, 7.574393802865928e-7, 0.00026558524162642794, 0.06802237041995114, 0.001460835563914503, 0.005568652356164206, 0.00005513063435678566, 0.00020702731987828476, 0.03294429758077705, 1.023206319322342e-8, 0.019111724816291187, 0.00035181866696443653 ]
[ 2413, 2390, 1012, 2070, 4216, 17120, 11655, 10484, 4083, 2055, 2009, 2013, 1037, 3780, 4070, 3191, 2000, 2032, 2011, 1037, 2767, 1010, 2096, 2500, 2360, 1996, 2961, 1010, 5204, 1997, 2049, 4022, 1010, 2081, 1037, 2569, 3942, 2000, 1996, 2082, 1012, 1999, 2593, 2553, 1010, 22635, 2099, 18110, 4207, 2010, 11028, 2170, 1000, 2305, 3015, 1000, 2029, 2001, 1037, 3642, 1997, 14981, 1998, 11454, 2229, 7622, 2046, 4317, 3259, 1012, 2122, 19221, 2071, 2022, 10009, 4498, 2011, 1996, 3093, 1010, 5599, 3548, 3745, 2592, 2006, 1996, 11686, 2302, 2383, 2422, 2030, 11303, 2000, 3713, 1012, 1996, 2952, 1005, 1055, 3642, 2357, 2041, 2000, 2022, 2205, 3375, 2000, 2224, 1999, 2049, 2434, 2510, 2433, 1010, 2021, 2009, 4427, 11655, 10484, 2000, 4503, 1037, 2291, 1997, 2010, 2219, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2640, 1027, 1027, 1027, 102, 101, 102, 101, 11655, 10484, 2499, 12824, 10895, 2006, 2010, 4784, 1010, 1998, 2010, 2291, 2001, 4321, 2949, 2011, 11617, 1010, 2043, 2002, 2001, 5417, 2086, 2214, 1012, 2013, 22635, 2099, 1005, 1055, 2305, 3015, 1010, 2002, 7601, 7103, 3064, 2011, 21934, 28250, 2075, 2049, 2433, 1998, 20446, 6026, 2049, 8122, 1012, 2002, 2081, 6375, 7753, 2005, 2169, 3661, 1010, 1998, 2002, 4359, 1996, 4376, 2992, 14981, 2000, 2416, 1012, 2002, 2405, 2010, 2291, 1999, 11523, 1010, 1998, 2011, 1996, 2117, 3179, 1999, 9713, 2018, 15105, 1996, 11454, 2229, 2138, 2027, 2020, 2205, 3697, 2000, 3191, 1012, 10232, 2135, 1010, 11655, 10484, 1005, 1055, 3760, 4442, 2020, 5214, 1997, 2108, 3858, 2004, 4144, 2007, 1037, 2309, 3543, 1997, 1037, 4344, 1012, 102, 101, 11655, 10484, 2580, 2010, 2219, 2992, 1030, 1011, 1030, 11089, 2291, 2011, 2478, 2019, 22091, 2140, 1010, 1996, 2168, 2785, 1997, 10408, 2029, 2018, 20641, 2032, 1012, 1999, 1996, 2832, 1997, 12697, 2010, 2291, 1010, 2002, 2036, 2881, 2019, 9413, 7446, 22026, 8278, 2005, 2478, 2009, 1010, 2241, 2006, 22635, 2099, 1005, 1055, 2219, 12796, 1998, 2358, 18871, 5906, 1012, 2011, 2853, 7999, 2048, 3384, 12970, 2408, 1996, 12796, 1010, 2002, 2580, 1037, 5851, 2181, 2005, 1996, 2358, 18871, 2029, 2052, 2562, 1996, 3210, 3442, 1998, 3191, 3085, 1012, 102, 101, 2011, 2122, 10754, 2965, 1010, 11655, 10484, 3833, 1037, 15873, 4807, 2291, 1012, 1000, 2009, 6468, 1996, 11359, 1997, 11067, 1000, 2626, 2852, 1012, 2957, 22889, 5844, 2413, 1010, 2280, 2472, 1997, 1996, 2662, 2082, 2005, 1996, 6397, 1010, 1000, 2066, 1996, 3142, 12440, 2993, 1012, 1000, 102, 101, 102, 101, 1027, 1027, 1027, 3315, 6789, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2291, 2001, 2574, 3668, 2000, 2421, 11655, 10484, 3315, 14869, 1012, 13459, 2055, 2010, 2219, 2189, 1010, 11655, 10484, 2165, 2777, 2594, 16203, 2729, 1999, 2049, 4041, 2000, 5676, 2008, 1996, 3315, 3642, 2052, 2022, 1000, 12379, 2438, 2000, 3113, 1996, 4310, 5918, 1997, 2151, 6602, 1012, 1000, 1999, 11523, 1010, 2002, 2405, 1996, 2034, 2338, 2055, 2010, 2291, 1010, 4118, 1997, 3015, 2616, 1010, 2189, 1010, 1998, 5810, 2774, 2011, 2965, 1997, 14981, 1010, 2005, 2224, 2011, 1996, 6397, 1998, 5412, 2005, 2068, 1012, 18527, 2023, 2338, 2001, 2034, 6267, 2011, 1996, 2992, 3661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00021539957056899907, 0.00018225558322693458, 0.00011120386046340345, 0.0863873717421856, 0.000045313112925167736, 0.005255590328218031, 0.0004574262514485056, 0.004792581593096027, 0.008075632176119814, 0.01817960280437889, 0.00001944212056719717, 0.00019786936027759813, 0.057836457740559385, 0.018812976669187954, 0.0013630088283316845, 0.00002027714070223, 0.05518411056137478, 0.0052540484162129615, 0.000007874357603364417, 0.04864982751228246, 1.020928524283664e-8, 0.05659421124508421, 0.050017827711073014, 0.14485357532521276, 0.0016539524594256661, 0.003250369630359216, 0.0018774193661633065, 0.0213825721847837, 0.008794710793131474, 0.0025489471179263637, 0.0050754175347880095, 0.01949311012550184, 0.06333460786000716, 0.000010921582631421386, 0.002657375158867281, 0.1570744934220042, 0.06508322774346165, 0.0074378602407487344, 0.000014455246178621547, 0.00024205760007437515, 0.04977824254211459, 0.00029121188827727236, 0.0011171119997616086, 1.020928524283664e-8, 0.00023024883331257783, 0.003459477630702261, 0.00015890143659873308, 1.020928524283664e-8, 0.0016704667614660465, 0.020848926202757256 ]
[ 4118, 1997, 1996, 5292, 26230, 2291, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5523, 1027, 1027, 1027, 102, 101, 102, 101, 11655, 10484, 2550, 2195, 2517, 2573, 2055, 11655, 10484, 1998, 2004, 2236, 2495, 2005, 1996, 6397, 1012, 4118, 1997, 3015, 2616, 1010, 2189, 1010, 1998, 5810, 2774, 1012, 1012, 1012, 1006, 11523, 1007, 2001, 8001, 1998, 24476, 1999, 9713, 1025, 2010, 5597, 5009, 1010, 2210, 19962, 22599, 1997, 20204, 2005, 4088, 16912, 1010, 3133, 2224, 1999, 9931, 1025, 1998, 2010, 24039, 2047, 4118, 2005, 5052, 2011, 14981, 1996, 2433, 1997, 4144, 1010, 7341, 1010, 14965, 4481, 1010, 3315, 9255, 1010, 4385, 1012, 1010, 2005, 2224, 2011, 1996, 6397, 2001, 2034, 2405, 1999, 10011, 1012, 2116, 1997, 11655, 10484, 1005, 1055, 2434, 6267, 2573, 3961, 2800, 2012, 1996, 11655, 10484, 14508, 2688, 1999, 8648, 19716, 4710, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 11703, 9331, 25785, 1027, 1027, 1027, 102, 101, 102, 101, 2047, 4118, 2005, 5052, 2011, 14981, 1012, 1012, 1012, 1006, 10011, 1007, 2404, 5743, 11655, 10484, 1005, 1055, 2933, 2005, 1037, 2047, 3015, 2291, 2007, 2029, 6397, 2111, 2071, 4339, 4144, 2008, 2071, 2022, 3191, 2011, 19985, 2111, 1012, 2170, 11703, 9331, 25785, 1010, 1996, 2291, 4117, 2010, 4118, 1997, 11089, 1030, 1011, 1030, 19477, 2007, 1037, 2047, 7772, 18651, 2029, 11655, 10484, 14917, 2000, 2058, 8485, 1996, 3259, 1012, 2043, 2109, 2007, 2019, 3378, 2193, 2795, 1006, 2036, 2881, 2011, 11655, 10484, 1998, 9034, 24443, 26910, 1007, 1010, 1996, 18651, 2071, 9146, 1037, 6397, 3213, 2000, 11633, 2135, 21376, 1996, 3115, 12440, 1012, 102, 101, 2044, 1996, 4955, 1997, 11703, 9331, 25785, 1010, 11655, 10484, 2435, 5375, 2000, 2010, 2767, 5578, 1030, 1011, 1030, 8173, 1030, 1011, 1030, 5125, 1042, 7140, 3540, 11314, 1010, 2040, 2001, 2551, 2006, 1996, 2458, 1997, 2010, 9680, 4048, 14413, 2063, 1010, 1037, 5080, 2008, 2071, 7861, 15853, 2015, 4144, 1999, 1996, 5450, 1997, 1037, 2828, 15994, 1012, 1042, 7140, 3540, 11314, 1005, 1055, 3698, 2001, 16586, 2004, 1037, 2307, 3112, 1998, 2001, 8176, 2012, 1996, 2088, 1005, 1055, 4189, 1999, 3000, 1999, 8492, 1012, 102, 101, 102, 101, 1027, 1027, 2101, 2166, 1027, 1027, 102, 101, 102, 101, 2348, 11655, 10484, 2001, 12749, 1998, 9768, 2011, 2010, 7391, 1010, 2010, 3015, 2291, 2001, 2025, 4036, 2012, 1996, 2820, 2076, 2010, 6480, 1012, 1996, 18530, 1997, 24632, 5292, 26230, 1010, 2040, 2018, 2351, 1999, 12307, 1010, 3662, 2053, 3037, 1999, 22552, 1996, 2511, 4725, 1997, 1996, 2082, 1010, 1998, 5262, 1010, 2027, 2020, 8851, 10420, 2000, 2049, 2224, 1012, 2852, 1012, 16971, 8173, 1030, 1011, 1030, 10731, 10369, 14862, 1010, 16296, 2012, 1996, 2082, 1010, 2001, 7219, 2013, 2010, 2695, 2044, 2002, 2018, 1037, 2381, 2338, 5421, 2046, 11655, 10484, 1012, 102, 101, 11655, 10484, 2018, 2467, 2042, 1037, 5305, 2135, 2775, 1010, 1998, 2010, 4650, 27622, 1999, 20480, 1012, 1037, 14516, 16464, 7355, 1010, 2146, 3373, 2000, 2022, 15877, 1010, 28844, 2098, 2032, 1010, 1998, 2011, 1996, 2287, 1997, 5659, 1010, 2002, 2001, 3140, 2000, 2128, 4115, 15549, 4095, 2010, 2597, 2004, 1037, 3836, 1012, 2043, 2010, 4650, 2584, 9801 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.01876997047562182, 0.00003199605326614611, 0.09867883793489396, 0.0015168477165816588, 0.002365196375170979, 0.00001434099845727288, 0.01854851876076384, 0.00011145573225787681, 0.04536885411446423, 0.04208210836468465, 0.007467172525989348, 0.0032741120755972316, 0.01725652456450785, 0.0661535878918736, 0.0005835598118313333, 0.02997781932043117, 0.10454018024245432, 0.001688080193662818, 0.000011412821426465818, 0.0072082458521565175, 0.016511676955465324, 0.00008091592760532375, 0.000017248075284222644, 0.013285135554373733, 0.000020545547519214263, 0.0009056709170674266, 0.04345938165521681, 0.031625150455629004, 0.00024219690972715588, 0.01046099965373245, 0.0013290340148206187, 0.00255167116638919, 0.0019694727080526568, 0.0003659318003913046, 0.0000010865575327416718, 0.0037444987415560967, 0.01053947790426345, 0.006454644623587433, 0.03830761184184611, 0.0004718347837121847, 0.00006208587190939722, 0.03407591831486599, 0.020175043227037146, 0.0451689835807128, 0.000014991419332928489, 0.05119226671978738, 0.061556715814845155, 0.0000034968732213213686, 0.08158543776512818, 0.05817205279329408 ]
[ 5473, 1010, 2002, 2001, 4914, 2000, 1996, 23453, 2012, 1996, 2548, 5145, 1010, 2073, 2002, 2351, 1999, 8784, 1010, 2048, 2420, 2044, 2002, 2018, 2584, 1996, 2287, 1997, 5659, 1030, 1011, 1030, 2093, 1012, 102, 101, 102, 101, 1027, 1027, 8027, 1027, 1027, 102, 101, 102, 101, 2083, 1996, 10827, 20616, 1997, 1996, 6397, 7391, 1010, 11655, 10484, 1005, 1055, 2291, 2001, 2633, 4233, 2011, 1996, 2820, 1999, 8421, 1010, 2048, 2086, 2044, 2010, 2331, 1012, 1996, 2291, 3659, 2802, 1996, 2413, 1030, 1011, 1030, 4092, 2088, 1010, 2021, 2001, 12430, 2000, 7818, 1999, 2060, 3182, 1012, 2174, 1010, 2011, 1996, 2051, 1997, 1996, 2034, 2035, 1030, 1011, 1030, 2647, 3034, 1997, 5089, 1997, 1996, 6397, 1999, 7612, 1010, 1996, 3426, 1997, 11655, 10484, 2001, 28683, 2011, 2852, 1012, 2726, 10588, 2849, 6590, 3351, 1998, 6920, 2049, 2248, 2224, 3445, 5901, 1012, 2011, 7131, 1010, 2852, 1012, 2849, 6590, 3351, 2001, 2583, 2000, 3189, 2008, 1000, 2045, 2003, 2085, 2763, 2053, 5145, 1999, 1996, 25825, 2088, 2073, 11655, 10484, 2003, 2025, 2109, 3272, 1999, 2070, 1997, 2216, 1999, 2167, 2637, 1012, 1000, 2776, 2130, 2122, 2907, 12166, 2128, 16136, 2098, 1024, 11655, 10484, 2001, 3985, 4233, 2011, 2816, 2005, 1996, 6397, 1999, 1996, 2142, 2163, 1999, 4947, 1010, 1998, 1037, 5415, 11655, 10484, 3642, 2005, 2394, 2001, 5337, 3550, 1999, 4673, 1012, 102, 101, 2047, 8358, 1999, 11655, 10484, 2974, 3613, 2000, 4982, 1010, 2164, 2107, 15463, 2004, 11655, 10484, 3274, 17703, 1025, 6487, 16429, 15118, 2571, 10373, 6959, 2326, 1025, 1998, 11265, 11368, 2232, 11655, 10484, 1010, 1037, 7721, 2291, 2005, 8045, 1998, 4045, 14869, 1012, 2471, 2048, 4693, 2044, 2049, 11028, 1010, 11655, 10484, 3464, 1037, 2291, 1997, 3928, 1998, 16762, 9710, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 7836, 1998, 7050, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 14269, 3167, 8027, 1997, 3434, 11655, 10484, 2001, 2649, 1999, 1037, 3999, 9491, 2011, 1056, 1012, 1055, 1012, 16292, 1024, 102, 101, 11655, 10484, 1005, 1055, 5593, 2188, 1999, 8648, 19716, 4710, 2003, 1037, 3205, 3181, 2311, 1998, 3506, 1996, 3434, 11655, 10484, 2688, 1012, 1037, 2312, 6104, 2000, 2032, 2001, 7019, 1999, 1996, 2237, 2675, 2029, 2001, 2993, 4096, 11655, 10484, 2675, 1012, 2006, 1996, 17705, 1997, 2010, 2331, 1010, 2010, 3464, 2020, 2333, 2000, 1996, 24152, 1999, 3000, 1012, 1999, 1037, 12613, 9218, 1010, 11655, 10484, 1005, 1055, 2398, 2020, 2187, 1999, 8648, 19716, 4710, 1010, 7065, 7869, 20630, 3950, 2379, 2010, 2188, 1012, 102, 101, 11342, 1998, 2060, 22899, 2000, 3434, 11655, 10484, 2064, 2022, 2179, 2105, 1996, 2088, 1012, 2002, 2038, 2042, 19131, 1999, 22981, 12133, 4969, 1010, 1998, 1996, 12175, 5585, 2575, 2683, 11655, 10484, 2001, 2315, 2005, 2032, 1999, 2826, 1012, 1996, 4372, 5666, 20464, 7361, 29667, 9032, 28101, 11639, 5555, 7201, 2032, 2426, 1996, 1000, 2531, 2087, 6383, 12235, 2015, 1997, 2035, 2051, 1000, 1012, 102, 101, 1996, 3263, 2705, 5315, 1997, 11655, 10484, 1005, 1055, 4182, 1999, 2268, 2001, 6334, 2802, 1996, 2088, 2011, 8596, 1998, 17899, 2015, 2055, 2010, 2166, 1998, 10106, 1012, 2426, 1996, 22377, 2015, 1010, 5706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000020035907621969373, 0.06329667065113656, 0.014666894678807153, 0.001983838537055674, 0.0003244797719407146, 0.026288049995703, 0.028450487138796218, 0.00053077247940032, 0.00017358910602250933, 0.0022196931149653, 0.0019862193963360326, 0.000008527225036898143, 9.14107280544653e-9, 0.07065377917982553, 0.00001079793670337011, 0.07442516571585432, 0.00012856263607848107, 9.14107280544653e-9, 0.000014119603377762293, 0.0012554665696658672, 9.14107280544653e-9, 0.0001574815044169985, 0.05882221013580732, 0.08230851446348371, 0.000005408301711474602, 0.022054836769676702, 0.015013991748335344, 0.0011954650610873365, 0.000025223195491151393, 0.0001562986377342746, 0.016969964672445152, 0.04644572929636097, 0.12424723942095406, 0.003962287061713606, 0.0017570808557356597, 0.035968617196068926, 0.000029039642955649233, 0.0485147493876105, 0.00024050393931069174, 0.061044456721325614, 0.020792436904487215, 0.12330040242706698, 0.0024132762166865643, 0.03543843170121696, 0.001494691225203637, 0.000002997619731907816, 0.00009043364149208404, 0.00825019662856593, 0.002719110450915807, 0.00014174810486164842 ]
[ 1998, 3304, 4930, 1016, 1030, 1011, 1030, 9944, 7824, 1010, 2634, 4930, 1037, 1016, 1030, 1011, 1030, 21766, 28084, 9226, 1010, 1998, 1996, 3915, 4930, 1037, 2028, 7922, 9226, 1010, 2035, 1999, 11655, 10484, 1005, 1055, 3932, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1999, 2759, 3226, 1027, 1027, 1027, 102, 101, 102, 101, 2138, 1997, 2010, 17571, 2004, 1037, 2402, 2879, 1010, 11655, 10484, 4324, 1037, 2569, 2173, 2004, 1037, 5394, 2005, 2336, 1010, 1998, 2002, 2038, 2042, 1996, 3395, 1997, 1037, 2312, 2193, 1997, 2573, 1997, 11799, 3906, 1012, 2060, 3922, 1999, 1996, 2840, 2421, 1996, 2137, 2694, 2569, 2402, 7348, 1024, 3434, 11655, 10484, 1006, 2230, 1007, 1025, 1996, 2413, 2694, 3185, 16655, 11320, 9856, 2890, 18033, 2474, 16371, 4183, 1006, 2263, 1007, 1006, 2207, 1999, 2394, 2004, 1996, 3595, 1997, 11655, 10484, 1007, 1025, 1998, 1996, 6918, 2377, 11655, 10484, 1024, 1996, 2220, 2166, 1997, 3434, 11655, 10484, 1006, 2960, 1007, 2011, 15137, 1998, 11608, 14103, 1012, 1999, 2189, 1010, 11655, 10484, 1005, 1055, 2166, 2001, 3395, 1997, 1996, 2299, 2170, 1000, 21442, 6895, 1010, 3434, 1000, 1010, 3605, 2011, 1996, 10475, 3220, 1030, 1011, 1030, 6009, 6609, 5163, 1010, 3242, 1997, 1996, 3010, 11655, 10484, 8433, 3192, 1012, 102, 101, 102, 101, 102, 101, 1027, 3259, 8072, 1027, 102, 101, 102, 101, 1000, 3259, 8072, 1000, 2003, 1996, 7891, 2792, 1997, 1996, 2959, 2161, 1997, 1996, 2137, 2671, 4349, 2547, 2186, 1996, 1060, 1030, 1011, 1030, 6764, 1012, 2009, 5885, 2006, 1996, 4419, 2897, 2006, 2285, 2321, 1010, 2727, 1012, 2009, 2001, 2517, 2011, 12159, 12267, 10762, 1010, 2856, 2011, 6487, 19298, 1010, 1998, 2956, 4113, 3922, 2011, 3419, 11501, 2319, 1010, 9423, 6994, 2319, 1998, 13226, 20653, 1012, 1996, 2792, 2003, 1037, 1000, 6071, 1030, 1011, 1030, 1997, 1030, 1011, 1030, 1996, 1030, 1011, 1030, 2733, 1000, 2466, 1010, 4895, 24230, 2000, 1010, 2021, 9530, 14028, 4630, 2007, 1010, 1996, 2186, 1005, 7289, 11327, 1012, 1000, 3259, 8072, 1000, 2001, 7021, 2011, 2385, 1030, 1012, 1030, 5354, 2454, 2111, 1999, 2049, 3988, 3743, 1010, 1998, 2363, 3893, 4391, 1010, 2007, 4401, 15838, 11501, 2319, 1005, 1055, 4113, 2535, 1012, 102, 101, 1996, 2265, 6401, 2006, 8495, 2569, 6074, 4419, 14163, 16502, 1006, 2585, 26363, 6806, 16022, 2100, 1007, 1998, 11271, 25686, 1006, 22358, 5143, 1007, 1010, 2040, 2147, 2006, 3572, 5799, 2000, 1996, 20725, 1010, 2170, 1060, 1030, 1011, 1030, 6764, 1012, 14163, 16502, 2003, 1037, 24591, 1999, 1996, 20725, 1010, 1998, 1996, 18386, 25686, 2038, 2042, 4137, 2000, 2139, 8569, 8950, 2010, 2147, 1012, 1999, 2023, 2792, 1010, 14163, 16502, 1998, 25686, 2424, 2008, 1037, 2775, 6359, 1006, 3419, 11501, 2319, 1007, 2040, 14163, 16502, 2018, 3271, 2000, 10439, 2890, 22342, 2195, 2086, 3041, 2018, 3555, 2062, 5694, 2084, 2002, 2018, 14312, 2000, 1025, 1998, 1999, 1996, 4525, 4812, 1010, 4553, 2008, 1996, 6359, 2003, 2085, 6815, 2000, 2031, 2730, 14163, 16502, 1005, 1055, 2905, 11415, 1012, 102, 101, 12267, 10762, 2234, 2039, 2007, 1996, 4145, 2005, 1000, 3259, 8072, 1000, 2043, 3241, 2055, 1996, 2186, 1005, 6493, 2770, 9994, 1010, 1996, 23415, 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, 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, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.039761947159550386, 0.12294966934485577, 0.0004167897809761452, 0.036569281799038796, 0.000019450233076710478, 0.009399503990022796, 0.00437113581229339, 0.06082814206523532, 0.0017952378653075187, 0.00006399652876978138, 0.006182074613982536, 0.060140127692571814, 0.0003008696431147055, 0.06925622880399346, 0.0017523168820907974, 0.00024714445105186017, 0.0001876062625860974, 0.009284186615275676, 0.0026708664318664446, 0.00012516196560323018, 0.00001531757152603044, 0.005568599747614264, 0.11358194461181322, 0.00002788117385346049, 0.000029991596180939646, 0.000054948795374899924, 0.07987803351555742, 0.019806479890932677, 0.0041192158640639825, 0.015129626309869486, 0.007212886629154926, 0.10403676421822798, 0.002174563378285888, 0.00860761397879235, 0.0005920170421057023, 0.0010038066034454797, 0.014945959093136538, 0.00001316097635730939, 0.03297206896378101, 0.04283682568052543, 0.0004111130125381512, 0.058340245708228614, 0.000017606519464660225, 0.00009046565962412935, 0.007317568791324557, 0.006386896196263373, 0.027384974177978156, 0.01402489984216101, 0.0062593599267082994, 0.0008374265838467591 ]
[ 11415, 14163, 16502, 1025, 2002, 2234, 2039, 2007, 1037, 2466, 11242, 3251, 11415, 2018, 2025, 2042, 20361, 2011, 12114, 1010, 2021, 2001, 2738, 7129, 2011, 1037, 2775, 6359, 2612, 1012, 1000, 3259, 8072, 1000, 2001, 2517, 4919, 2007, 3419, 11501, 2319, 1999, 2568, 2005, 1996, 2535, 1997, 20162, 1010, 1998, 2001, 5921, 1996, 2034, 2547, 2147, 1996, 3364, 2018, 2589, 1012, 102, 101, 102, 101, 1027, 1027, 5436, 1027, 1027, 102, 101, 102, 101, 4419, 14163, 16502, 1006, 2585, 26363, 6806, 16022, 2100, 1007, 5544, 1997, 1037, 2417, 2422, 2008, 5260, 2032, 2000, 1996, 11547, 1997, 1037, 2402, 2611, 3950, 1999, 1037, 2380, 1999, 24951, 11488, 2015, 1010, 3448, 1012, 2043, 2002, 8300, 3619, 1010, 2002, 4641, 2000, 1996, 2380, 1998, 4858, 1996, 2611, 1005, 1055, 13526, 1012, 1996, 2611, 2001, 4340, 2000, 2031, 2042, 7129, 2011, 2198, 3389, 20162, 1006, 3419, 11501, 2319, 1007, 1010, 1037, 7642, 6359, 2040, 7129, 7093, 3057, 2802, 1996, 3865, 1025, 2010, 16913, 2271, 3850, 16089, 2001, 6276, 1037, 2540, 2041, 1997, 1996, 4253, 1997, 2169, 6778, 1012, 14163, 16502, 2018, 4110, 20162, 2011, 2139, 8566, 6129, 2008, 2002, 5462, 1996, 9916, 2096, 7118, 2004, 1037, 11641, 20133, 18968, 1012, 20162, 1005, 1055, 8072, 2020, 2196, 2179, 1010, 2348, 2002, 14312, 2000, 2035, 1997, 1996, 9916, 1012, 102, 101, 11271, 25686, 1005, 1055, 1006, 22358, 5143, 1007, 24534, 1997, 1996, 13526, 4858, 2008, 1996, 6778, 2351, 1999, 3339, 1010, 9104, 2008, 20162, 1005, 1055, 4288, 11867, 9910, 2318, 2172, 3041, 2084, 1996, 8495, 2018, 3130, 2245, 1012, 1996, 6074, 3945, 20162, 1005, 1055, 2214, 2482, 1010, 2073, 2027, 7523, 7032, 3013, 1030, 1011, 1030, 2041, 8072, 1012, 14163, 16502, 1998, 25686, 3525, 3942, 20162, 1999, 3827, 1010, 5327, 2000, 4553, 1996, 15702, 1997, 1996, 3588, 2048, 5694, 1012, 20162, 1010, 2174, 1010, 5363, 2000, 2377, 2568, 2399, 2007, 14163, 16502, 1012, 2008, 2305, 14163, 16502, 5544, 1997, 1996, 2305, 1997, 11415, 1005, 1055, 23415, 1010, 9428, 4760, 2008, 2010, 2905, 2001, 20361, 2011, 20162, 2738, 2084, 12114, 1012, 102, 101, 1996, 2279, 2154, 1010, 14163, 16502, 5176, 20162, 2073, 2002, 2001, 1996, 2305, 11415, 2001, 20361, 1012, 20162, 4447, 2002, 2001, 2006, 9246, 1005, 1055, 18621, 1998, 2018, 2853, 1037, 11641, 20133, 2000, 14163, 16502, 1005, 1055, 2269, 1012, 14163, 16502, 2101, 4858, 1996, 11641, 1999, 2010, 2388, 1005, 1055, 2160, 1012, 2044, 13359, 4787, 17451, 2000, 3946, 2068, 2582, 3229, 2000, 20162, 1010, 1996, 6074, 3160, 1996, 6359, 1998, 2024, 2409, 1996, 3295, 1997, 2028, 1997, 2010, 3588, 5694, 1012, 2002, 2036, 4447, 3599, 2054, 3047, 1996, 2305, 1997, 11415, 1005, 1055, 23415, 1012, 2019, 24534, 1997, 1996, 2303, 7657, 2009, 2515, 2025, 7141, 2000, 11415, 1012, 20162, 4136, 14163, 16502, 1996, 2345, 2303, 2003, 11415, 1005, 1055, 1010, 2021, 2758, 2008, 2002, 2097, 2069, 7487, 2073, 2009, 2003, 2065, 14163, 16502, 3138, 2032, 2000, 1996, 3496, 1997, 2014, 23415, 1012, 14163, 16502, 10082, 7085, 20162, 2013, 3827, 1998, 7545, 2032, 2000, 9246, 1005, 1055, 18621, 1012, 102, 101, 2588, 7194, 2012, 2010, 2155, 1005, 1055, 2214, 2621, 2160, 1010, 20162, 7607, 3599, 2054, 3047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.009153317078341933, 0.00997787250754407, 0.02371497424048124, 0.034147073164926225, 0.0000782483707690522, 0.0033679284476321914, 0.006698553342378395, 0.000048863416610791224, 0.0005089472602440105, 0.00004572300429445526, 0.002032715132108126, 0.000016666529869671075, 6.828702111397691e-7, 0.00011353780409470915, 0.008698796563709466, 0.12431777381786754, 0.04732421172570651, 0.001000540273947259, 0.001061751464987937, 0.030522621256944618, 0.015572271298145663, 0.03664646860328702, 0.0018698299627406493, 0.00010734007341646403, 0.013407757198352195, 0.03823546676112583, 0.08155529563677566, 0.0000037472505280224474, 0.00025743095895742075, 0.051484799118124626, 0.0029571114723981862, 0.05929521229843315, 0.003018129350633362, 0.01583885841597629, 0.04124972833566255, 0.004269029914261781, 0.07073008712018335, 0.0001030743296447687, 0.0000014248684163437818, 0.03150669552985138, 0.0007281400113111928, 0.05919221392146312, 0.018465614477626312, 0.000996004996083847, 0.001178408168896681, 0.009377524819390588, 0.000642684589928749, 0.08669980104669167, 0.0501860073587818, 0.0015930438402421898 ]
[ 1996, 2305, 1997, 11415, 1005, 1055, 23415, 1012, 2174, 1010, 14163, 16502, 4136, 2032, 2008, 1996, 2160, 2001, 4149, 2011, 2010, 2269, 2044, 11415, 1005, 1055, 23415, 1010, 13359, 2032, 2008, 20162, 2003, 2025, 4129, 1996, 3606, 1012, 14163, 16502, 3488, 2000, 3288, 20162, 2067, 2000, 3827, 1010, 2021, 1517, 2206, 2178, 3959, 2055, 11415, 1517, 8300, 3619, 2000, 2424, 20162, 2908, 1010, 2007, 2010, 10780, 1010, 3282, 1010, 1998, 3042, 7376, 1012, 102, 101, 2478, 14163, 16502, 1005, 1055, 22496, 1010, 20162, 22590, 2015, 1037, 2611, 1999, 22722, 13124, 1010, 4404, 3183, 2002, 2777, 2006, 2010, 3462, 2007, 14163, 16502, 2000, 3731, 1012, 25686, 1998, 17451, 7180, 1996, 2279, 2154, 1998, 1996, 6074, 2132, 2000, 1996, 2609, 1997, 20162, 1005, 1055, 2214, 4545, 1999, 7065, 7869, 1012, 2027, 2424, 2032, 2007, 1996, 2611, 1999, 2019, 4704, 3902, 3518, 1012, 20162, 4324, 1996, 3282, 2006, 1996, 2611, 1998, 4136, 14163, 16502, 2008, 2002, 1005, 2222, 2196, 2113, 2005, 2469, 3251, 1996, 2197, 6778, 2003, 11415, 2030, 2025, 2065, 2002, 8563, 2032, 1012, 14163, 16502, 2003, 2059, 3140, 2000, 5607, 20162, 1010, 2004, 2002, 4627, 2000, 4139, 2006, 1996, 9495, 1997, 1996, 7376, 3282, 1012, 1999, 2010, 2436, 14163, 16502, 14020, 2012, 1996, 2345, 8416, 2540, 1998, 8509, 2009, 2185, 1010, 12422, 1997, 3251, 2009, 6272, 2000, 11415, 2030, 2025, 1012, 102, 101, 102, 101, 1027, 1027, 2537, 1027, 1027, 102, 101, 102, 101, 1000, 3259, 8072, 1000, 2001, 2517, 4919, 2007, 3419, 11501, 2319, 1999, 2568, 2005, 1996, 2535, 1997, 20162, 1010, 1998, 2001, 5921, 1996, 2034, 2547, 2147, 1996, 3364, 2018, 2589, 1012, 3213, 12159, 12267, 10762, 2234, 2039, 2007, 1996, 4145, 2005, 1996, 2792, 2043, 3241, 2055, 1996, 2186, 1005, 6493, 2770, 9994, 1010, 1996, 23415, 1997, 11415, 14163, 16502, 1012, 12267, 10762, 2234, 2039, 2007, 1037, 2466, 11242, 3251, 11415, 2018, 2025, 2042, 20361, 2011, 12114, 1010, 2021, 2001, 2738, 7129, 2011, 1037, 2775, 6359, 2612, 1012, 2002, 2787, 2000, 2393, 8054, 4419, 14163, 16502, 1997, 2023, 2083, 1037, 2186, 1997, 12168, 2594, 5544, 1012, 1996, 9138, 4597, 1999, 14163, 16502, 1005, 1055, 5544, 2020, 5105, 2011, 12267, 10762, 1005, 1055, 3325, 2007, 9138, 7570, 24915, 2015, 2096, 2002, 2001, 1037, 2143, 3076, 1012, 1996, 9138, 2001, 4011, 2000, 2022, 1996, 3609, 2630, 1010, 2021, 2001, 2904, 2000, 2417, 1999, 2537, 2000, 5547, 5366, 1012, 5782, 2000, 2421, 2070, 2785, 1997, 10768, 24788, 2005, 1996, 6359, 1010, 12267, 10762, 3876, 2006, 2383, 20162, 3013, 2540, 5044, 10341, 2013, 2010, 6778, 1005, 1055, 5929, 1010, 3241, 2008, 2383, 2032, 14163, 26065, 2618, 2010, 5694, 1005, 4230, 2052, 2022, 2183, 2205, 2521, 1012, 102, 101, 4113, 3364, 3419, 11501, 2319, 1010, 2040, 2209, 1996, 6359, 2198, 3389, 20162, 1010, 7383, 7467, 1996, 3496, 1999, 2029, 2010, 2839, 2003, 3107, 1010, 2652, 3455, 1999, 3827, 1012, 11501, 2319, 1010, 1037, 5214, 3455, 2447, 1010, 2001, 2356, 2000, 1000, 2091, 13068, 1000, 2129, 2092, 2002, 2071, 2377, 1025, 2348, 2002, 18991, 2025, 2108, 2583, 2000, 2377, 2114, 2585, 26363, 6806, 16022, 2100, 1010, 2040, 2018, 2209, 3455, 2005, 9173, 2118, 1012, 2792, 3213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000038927941089478354, 0.000004676545242001114, 0.013069780169017, 0.0007538475376700157, 0.140388705956345, 0.05434208518419856, 0.000012601936080964824, 0.0430084351529429, 0.00849896045703832, 0.00009187447126898551, 0.027973275947198444, 0.026247573825096886, 0.01019688247962616, 0.000692134241432186, 0.0038334278086274358, 0.040514609020626625, 0.0327806174317533, 0.1088571115493965, 0.0023357301284205752, 0.0032237964813306933, 0.014525456507428132, 0.02069192507221586, 0.00005998035175405214, 0.0004992481205622444, 0.00008007080761740666, 0.012515507749751695, 0.004313702795702868, 0.0007812940930097257, 0.08496966402115076, 0.053071633298593296, 0.00000217340477417242, 8.560943861183539e-9, 0.00005476945111306589, 0.010529877658740213, 0.02807860496182768, 0.0013916903236737262, 0.015107975963415544, 0.004822400374715584, 0.00009579109017820127, 0.007398678682947618, 0.00112353505300697, 0.0001000868830321768, 0.0013602650319905296, 0.0003972904837741544, 0.000982760626255658, 0.00600225546687562, 0.04165421423894338, 0.11172055148260772, 0.060610989329102284, 0.00019254384989392638 ]
[ 12159, 12267, 10762, 1998, 2472, 6487, 19298, 20865, 2008, 26363, 6806, 16022, 2100, 1005, 1055, 3144, 3455, 2915, 1999, 2023, 3496, 2001, 6361, 1999, 2074, 2028, 2202, 1010, 2302, 2569, 3896, 1012, 2096, 1996, 2792, 2001, 1996, 5964, 2550, 1999, 1996, 2161, 1010, 2009, 2001, 1996, 7891, 4836, 1010, 2383, 2042, 8394, 2000, 2489, 2039, 2537, 4219, 2005, 1996, 2048, 2112, 4178, 1000, 27079, 2271, 2912, 1000, 1998, 1000, 2744, 2050, 1000, 1012, 1996, 2792, 1005, 1055, 18856, 9581, 13306, 3496, 2001, 6361, 1999, 1037, 1000, 3902, 16685, 1000, 1999, 9948, 1010, 2329, 3996, 1010, 1037, 3295, 2029, 2018, 2042, 7464, 2098, 2706, 3130, 2007, 1996, 6808, 1997, 2776, 2164, 2009, 1999, 2019, 2792, 1997, 1996, 2186, 1025, 2348, 7467, 2012, 1996, 3295, 2106, 2025, 2130, 2197, 1037, 2440, 2154, 2750, 1996, 2146, 3524, 2000, 2224, 2009, 1012, 102, 101, 102, 101, 1027, 1027, 3743, 1998, 7684, 1027, 1027, 102, 101, 102, 101, 1000, 3259, 8072, 1000, 5885, 2006, 1996, 4419, 2897, 2006, 2285, 2321, 1010, 2727, 1010, 1998, 2001, 2034, 3743, 1999, 1996, 2142, 2983, 2006, 4035, 2048, 2006, 2281, 2260, 1010, 2722, 1012, 1996, 2792, 1005, 1055, 3988, 3743, 2001, 7021, 2011, 3155, 2385, 1030, 1012, 1030, 5354, 2454, 2111, 1010, 2029, 3421, 2385, 1003, 1997, 1996, 10523, 4378, 2076, 2008, 2051, 1012, 102, 101, 2119, 22358, 5143, 1998, 2585, 26363, 6806, 16022, 2100, 5136, 2023, 2426, 1996, 2190, 4178, 1997, 1996, 2959, 2161, 1012, 4543, 2928, 4586, 2001, 4222, 2005, 2019, 10096, 2400, 2005, 1996, 2189, 2002, 2550, 2005, 2023, 2792, 1012, 2002, 2056, 1997, 1996, 2792, 1005, 1055, 2189, 1010, 1000, 2009, 2001, 1037, 2367, 2785, 1997, 14902, 2005, 1996, 2265, 1012, 2422, 1010, 3894, 1010, 2498, 16668, 8701, 1000, 1012, 4586, 2363, 2116, 11186, 2005, 1037, 3405, 1997, 1996, 2189, 2109, 2012, 1996, 2203, 1997, 1996, 2792, 1012, 102, 101, 4037, 16270, 2315, 1000, 3259, 8072, 1000, 2037, 4369, 5440, 1000, 26609, 1000, 2792, 1997, 1996, 2265, 1010, 4214, 2009, 1000, 17109, 1998, 4895, 21678, 2989, 1000, 1010, 1998, 6815, 11501, 2319, 1005, 1055, 2839, 2001, 1000, 2028, 1997, 1996, 2087, 14888, 16219, 2000, 2191, 2019, 3311, 1999, 1996, 2186, 1000, 1012, 11501, 2319, 1005, 1055, 3772, 2038, 2036, 2042, 5868, 2011, 12159, 12267, 10762, 1010, 2040, 2758, 1996, 1000, 2104, 9153, 3064, 1000, 5450, 1999, 2029, 20162, 2003, 6791, 1000, 10255, 10720, 2015, 2091, 1031, 2010, 1033, 8560, 2296, 2051, 1000, 1012, 1996, 1037, 1012, 1058, 1012, 2252, 1005, 1055, 6927, 3158, 4063, 13777, 4246, 8182, 1996, 2792, 13567, 1010, 5790, 2009, 2019, 1037, 1012, 2002, 2371, 2008, 11501, 2319, 1005, 1055, 2836, 2001, 1000, 27547, 1000, 1010, 9073, 2008, 1996, 3364, 1000, 3084, 20162, 2046, 2028, 1997, 1996, 2186, 1005, 2307, 2529, 9219, 1000, 1025, 1998, 3373, 2008, 1996, 2792, 1005, 1055, 18458, 2001, 2590, 2000, 4975, 1996, 2839, 1997, 14163, 16502, 2582, 1012, 1996, 4037, 2101, 2315, 1996, 2792, 1996, 4369, 2190, 2742, 1997, 1037, 2547, 3959, 5537, 1010, 9073, 2008, 2009, 1000, 6592, 1031, 1055, 1033, 2129, 2023, 4118, 7476, 2158, 1031, 14163, 16502, 1033, 2453, 11989, 2058, 3147, 3572, 1999, 2010, 27952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0004587903782320118, 0.0003622916686049453, 0.002621465862102811, 0.0000928805410035231, 0.011331302891833123, 0.06732455691165712, 0.0005227347654564377, 1.0593551387465082e-8, 0.00011478595206158055, 0.0005044597949337455, 0.00012125483996914189, 0.0005403268847024305, 0.13321806163827982, 0.059372489463327634, 0.019410063306646002, 0.04636036234728331, 0.009462316534342072, 0.008454212150072703, 0.001983625685791532, 1.0593551387465082e-8, 0.00000991779146998643, 0.00230622524097204, 0.000035226035224197865, 0.03328583130277947, 0.10024306926224485, 0.0005108092958206644, 0.0003981499112939443, 0.0428685345791557, 0.038656036270373055, 0.00004468496955524978, 0.0004447415615817, 0.009961865258705419, 0.013565898795091184, 9.897968120047331e-7, 0.000004687070263127831, 0.000259854928682798, 0.023556690837865935, 0.00024110485977163257, 0.0021480359551426234, 0.000009428559455851486, 0.00003045848301020511, 0.13366853977792462, 0.00003407873255370922, 0.00011595086781363668, 0.06800145768083764, 0.00004042391128505135, 0.000016258352619165115, 0.027956519020746695, 0.037469735104744106, 0.10185879298280089 ]
[ 1000, 1012, 1996, 3720, 2036, 27175, 1996, 4443, 1005, 1055, 19240, 2008, 9138, 20884, 2015, 2020, 14163, 16502, 1005, 1055, 2568, 2008, 4197, 1000, 2041, 9017, 1997, 3350, 2010, 9715, 4167, 4771, 2035, 2216, 2116, 2086, 3283, 1012, 1000, 2732, 14289, 4877, 2063, 2315, 2009, 1996, 2117, 2190, 2792, 1997, 1996, 2186, 1012, 102, 101, 102, 101, 102, 101, 1027, 7822, 1997, 21193, 2144, 7973, 1027, 102, 101, 102, 101, 1996, 7822, 1997, 21193, 2144, 7973, 13531, 1996, 11343, 1997, 4840, 2300, 2005, 12442, 1998, 4968, 2224, 1010, 3137, 8640, 1010, 4176, 1998, 4264, 2008, 12530, 2006, 10046, 1030, 1011, 1030, 14899, 1010, 1998, 1010, 1999, 1996, 2936, 2744, 1010, 1996, 2504, 1997, 1996, 17401, 1012, 3273, 2011, 1043, 2721, 9793, 18738, 1010, 1996, 15850, 16507, 1997, 10046, 7822, 2007, 1996, 7594, 3623, 1997, 12483, 16635, 3806, 8583, 2003, 2411, 6563, 2004, 2019, 10358, 17302, 2104, 8091, 5582, 1997, 3795, 12959, 1012, 3054, 1030, 1011, 1030, 15250, 3137, 8483, 2107, 2004, 1996, 26779, 1010, 13698, 1010, 6857, 4020, 1010, 16690, 2846, 1010, 1998, 1996, 2670, 18096, 1010, 2004, 2092, 2004, 7275, 5133, 6465, 2015, 2107, 2004, 4057, 11382, 17960, 2319, 16084, 2080, 1999, 3088, 1010, 2024, 4760, 2070, 1997, 1996, 2922, 10817, 3686, 17381, 6409, 1012, 102, 101, 10046, 3742, 5703, 2003, 1996, 3145, 28283, 22311, 3372, 1997, 1996, 2740, 1997, 1037, 10046, 1012, 2065, 1996, 3815, 1997, 7708, 13511, 1999, 1996, 20299, 4224, 23651, 1996, 11712, 1997, 17381, 3256, 2439, 2349, 2000, 13721, 2030, 1999, 1996, 11113, 13490, 4224, 1037, 10046, 2097, 5083, 1025, 2065, 1996, 20299, 2003, 2625, 2084, 1996, 11113, 13490, 1010, 1996, 10046, 2097, 7822, 1012, 21193, 1999, 7822, 2097, 2031, 4997, 3742, 5703, 2015, 1010, 1998, 2065, 2027, 2079, 2025, 2424, 2019, 14442, 2090, 20299, 1998, 11113, 13490, 1010, 2097, 2776, 10436, 1012, 102, 101, 1996, 2210, 3256, 2287, 2001, 1037, 2558, 2013, 2055, 26245, 2000, 7973, 2043, 1996, 2088, 5281, 4659, 14976, 7715, 4102, 2000, 1996, 2556, 1012, 3525, 1010, 2127, 2055, 3878, 1010, 21193, 2105, 1996, 2088, 11672, 2004, 1996, 4785, 17336, 12381, 1012, 17381, 7822, 9784, 1998, 2130, 11674, 8184, 1010, 1999, 2116, 3572, 1010, 2090, 3925, 1998, 3150, 2004, 3795, 7715, 12981, 3621, 1012, 2144, 3150, 1010, 1037, 3278, 3795, 12959, 2038, 2419, 2000, 10046, 7822, 3352, 6233, 5915, 1998, 28498, 1010, 2061, 2172, 2061, 2008, 2070, 21193, 2031, 5419, 10462, 1010, 1998, 1996, 4598, 2015, 1997, 2116, 1997, 1996, 3588, 21193, 2024, 5561, 1012, 1999, 5269, 2107, 2004, 1996, 18096, 1997, 2148, 2637, 1998, 26779, 1999, 4021, 1010, 1996, 13614, 1997, 21193, 1999, 2122, 4655, 2038, 1996, 4022, 2000, 7461, 2300, 6067, 1999, 2216, 2752, 1012, 102, 101, 1996, 7822, 1997, 3137, 21193, 1010, 5546, 1999, 2530, 2167, 2637, 1010, 4021, 1010, 1996, 13698, 1998, 5133, 1998, 11935, 4655, 1997, 2148, 2637, 1010, 3088, 1998, 6239, 1010, 3073, 3350, 2005, 1996, 4125, 1999, 3795, 7715, 2144, 1996, 2397, 3708, 2301, 1012, 1996, 16264, 1997, 1996, 3446, 1997, 7822, 2144, 2786, 1997, 3145, 13307, 21193, 1997, 1996, 16128, 1998, 2225, 10227, 3256, 8697, 2089, 18921, 7377, 3527, 2860, 1037, 4125, 1999, 2712, 2504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.021639018859955235, 0.00011897861881692042, 0.12405035731528283, 0.1061041758973905, 0.0223121241397357, 0.000004612781922969787, 0.0046578643667596975, 0.0000752186271519903, 0.004846977840087514, 0.04744564366403985, 0.03264665452992019, 0.08722063073476626, 0.0004470191260267205, 0.00003211659629882281, 0.017015206454465408, 0.0002741514582422574, 0.016927070696133216, 0.0005558018056222372, 0.0026705179915523032, 0.00031211724697791706, 0.006951921267513929, 0.03846666993432449, 0.0058597984222965105, 0.027104736373678957, 0.0001572166706823609, 0.000022295035965383482, 0.00010169978625718301, 0.033344809083914254, 0.03381466167981399, 0.011631388698191051, 0.0005888517817309926, 0.00223904230254217, 0.0051764958198938634, 0.008914562830291465, 0.04672830038105342, 0.00004818457177086213, 0.0012532420351432708, 0.01917081263483037, 0.014550063983674007, 0.000040942666622527634, 0.034354702824086994, 0.0035073596530345004, 0.08114278391645495, 0.0038102174254603586, 0.000681831219543404, 0.00045032732107495096, 0.0534202703971922, 0.06135870893416742, 0.008156438814878467, 0.007595404782767344 ]
[ 1010, 2029, 2052, 7461, 5780, 4655, 1012, 102, 101, 102, 101, 1027, 1027, 10046, 3742, 5703, 1027, 1027, 102, 101, 102, 101, 1996, 3742, 5703, 1010, 2030, 4489, 2090, 20299, 1998, 11113, 13490, 1006, 13721, 1998, 4942, 17960, 3370, 1007, 1010, 1997, 1037, 10046, 2003, 10232, 2000, 2049, 7691, 1012, 4785, 2689, 2089, 3426, 8358, 1999, 2119, 4860, 1998, 26043, 1010, 4525, 1999, 3431, 1999, 3742, 5703, 1012, 1037, 10046, 2007, 1037, 8760, 4997, 5703, 12386, 14442, 1998, 7822, 2015, 1012, 1037, 8760, 3893, 5703, 2003, 2036, 2041, 1997, 14442, 1998, 2097, 5083, 2000, 22131, 2696, 16558, 4509, 14442, 1012, 2747, 1010, 3053, 2035, 21193, 2031, 1037, 4997, 3742, 5703, 1998, 2024, 17512, 1012, 102, 101, 10046, 7822, 3463, 1999, 1996, 3279, 1997, 1996, 2659, 1030, 1011, 1030, 6678, 2555, 1997, 1996, 10046, 1012, 2144, 3020, 18166, 2024, 14976, 1010, 1996, 13406, 1997, 1996, 7290, 4664, 17913, 3452, 11113, 13490, 1010, 8558, 4852, 3742, 5703, 1998, 9280, 22131, 2696, 16558, 21837, 14442, 1012, 2065, 1996, 3742, 5703, 1997, 1037, 3278, 4664, 1997, 1996, 20299, 4224, 1997, 1996, 10046, 2003, 4997, 1010, 2009, 2003, 1999, 4487, 3366, 26147, 12322, 18802, 2007, 1996, 4785, 1998, 2097, 14899, 2185, 2302, 1037, 21399, 4785, 1998, 2030, 2019, 3623, 1999, 7708, 13511, 1012, 102, 101, 4725, 2005, 9854, 7822, 2421, 2358, 15495, 7342, 3295, 1010, 3795, 19120, 12375, 1010, 9682, 12375, 1998, 9138, 12456, 14428, 11129, 1012, 1996, 3145, 25353, 27718, 5358, 1997, 4487, 3366, 26147, 12322, 18802, 2003, 4857, 5582, 2247, 1996, 2972, 3091, 1997, 1996, 10046, 1012, 2023, 7127, 1037, 11737, 5498, 4095, 3672, 1997, 1996, 20299, 4224, 1012, 1996, 2765, 2003, 14785, 19396, 1997, 1996, 20299, 4224, 7785, 1010, 2025, 2074, 1997, 1996, 7342, 1012, 1999, 3466, 1010, 1996, 10046, 2053, 2936, 2038, 1037, 8335, 20299, 4224, 1998, 2302, 2019, 20299, 4224, 3685, 5788, 1012, 2005, 2742, 1010, 21636, 10046, 1999, 2899, 2110, 1010, 1057, 1012, 1055, 1012, 2097, 3497, 22802, 2000, 2431, 2049, 2946, 2021, 2012, 1037, 18068, 3446, 1997, 7312, 1998, 27790, 2012, 2008, 2946, 2750, 1996, 16676, 4860, 2058, 1037, 2261, 5109, 1012, 2174, 1010, 1996, 5861, 9091, 10046, 1999, 8124, 1010, 1057, 1012, 1055, 1012, 2097, 22802, 2012, 2019, 4852, 3446, 2127, 2009, 17144, 1012, 1996, 4489, 2003, 2008, 1996, 3356, 2930, 1997, 21636, 10046, 3464, 7965, 1998, 4586, 1030, 1011, 1030, 3139, 1010, 2096, 2130, 1996, 3356, 2930, 1997, 1996, 5861, 9091, 10046, 2003, 6436, 1010, 2003, 13721, 1998, 2038, 4857, 7228, 1012, 2235, 21193, 2007, 10124, 7998, 2846, 2024, 2087, 3497, 2000, 2991, 2046, 4487, 3366, 26147, 12322, 18802, 2007, 1996, 4785, 1012, 102, 101, 102, 101, 1027, 1027, 2690, 15250, 21193, 1027, 1027, 102, 101, 102, 101, 2690, 15250, 21193, 2024, 2284, 2593, 2090, 1996, 19817, 7361, 2594, 1997, 4456, 1998, 1996, 10162, 4418, 1010, 2030, 2090, 1996, 19817, 7361, 2594, 1997, 6178, 7277, 9691, 1998, 1996, 10227, 4418, 1012, 2119, 2752, 2490, 10046, 3256, 2013, 3137, 21193, 1010, 3028, 21193, 1998, 2130, 3760, 3256, 17695, 2015, 1010, 2029, 2024, 2788, 2284, 1999, 3020, 14897, 4655, 1012, 2035, 2024, 2284, 1999, 3137, 8483, 1010, 5546, 1996, 26779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00016083681178917655, 0.011908302608710945, 0.11117547900635555, 0.06798907357604182, 0.00010724431554727051, 0.007537265572417327, 0.020045745591698475, 0.000005112096597310578, 0.000041146320716393407, 0.0003905058634489794, 0.023756203716153945, 0.08155345749210065, 0.000694744651393878, 0.000020937579256517467, 0.05613727380348811, 0.00003968352845705722, 0.10106873677650582, 0.008743396934608861, 0.002087443547783624, 0.0013060069058608386, 0.015443311572837742, 0.00027210300593968163, 0.00009342347233133609, 0.052801376990290645, 0.04183695802487409, 0.011212842503042237, 0.101446357468632, 0.00019913704787697872, 0.000037969604586213404, 0.0000014679314656712584, 0.000014875446396054236, 0.0024648610146054983, 0.00007657884387792466, 0.023995349307775058, 0.013355959908357152, 0.00019100208242553096, 0.0020881625927777463, 0.0018702205019747113, 0.09917667794752157, 0.0008135083231806168, 0.000034542999658672534, 0.0028548487082941288, 0.009265856329494306, 0.00004188208897590043, 0.03590010828512503, 0.010636656064228983, 0.024901683041261728, 0.004326811506931842, 0.029527838496896545, 0.020349032189431855 ]
[ 1025, 1996, 13698, 1025, 1996, 22696, 1025, 6857, 4020, 1998, 3534, 3023, 8483, 1997, 2167, 2637, 1025, 1996, 6986, 23692, 11148, 18096, 1999, 2148, 2637, 1025, 1998, 3137, 8483, 1999, 2047, 3414, 1012, 21193, 1999, 2122, 15250, 2015, 2024, 2062, 6923, 1998, 7166, 2000, 2022, 3618, 1999, 3742, 1996, 3553, 2027, 2024, 2000, 1996, 11508, 4655, 1012, 2027, 2024, 1996, 2087, 4235, 3273, 2058, 1996, 2627, 5018, 2086, 1012, 2004, 2007, 4973, 2284, 1999, 1996, 5133, 4224, 1010, 8990, 2035, 1996, 21193, 1999, 1996, 3054, 1030, 1011, 1030, 15250, 2015, 2024, 1999, 1037, 2110, 1997, 4997, 3742, 5703, 1998, 2024, 17512, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2789, 14130, 1027, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 2885, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 2605, 2035, 2416, 1997, 1996, 2350, 21193, 1999, 2008, 2406, 2024, 1999, 7822, 1012, 2006, 18318, 18698, 1010, 1996, 3284, 4672, 1999, 1996, 13698, 1010, 1996, 23157, 21253, 10046, 2038, 28667, 19082, 1015, 1030, 1010, 1030, 5018, 1049, 1006, 1017, 1030, 1010, 1030, 29065, 3027, 1007, 2144, 6940, 1012, 2060, 18318, 18698, 21193, 2031, 2036, 2042, 1999, 7822, 1010, 2164, 1996, 21442, 2139, 1043, 19217, 1010, 2029, 2003, 1996, 2922, 10046, 1999, 2605, 2012, 2260, 2463, 1006, 1021, 1030, 1012, 1030, 1019, 2771, 1007, 1999, 3091, 2021, 11672, 3156, 1049, 1006, 1015, 1030, 1010, 1030, 5174, 3027, 1007, 2090, 2807, 1998, 2263, 1012, 1996, 10046, 2038, 11672, 1016, 1030, 1010, 1030, 3998, 1049, 1006, 1021, 1030, 1010, 1030, 3156, 3027, 1007, 2144, 1996, 2203, 1997, 1996, 2210, 3256, 2287, 1012, 1996, 5795, 5644, 10046, 2320, 3668, 2013, 1996, 6465, 1997, 18318, 18698, 2012, 1018, 1030, 1010, 1030, 3770, 2581, 1049, 1006, 2321, 1030, 1010, 1030, 6255, 2487, 3027, 1007, 2000, 2019, 6678, 1997, 1015, 1030, 1010, 1030, 28714, 1049, 1006, 1017, 1030, 1010, 1030, 17422, 3027, 1007, 1999, 5141, 1012, 2011, 2263, 5795, 5644, 10046, 2018, 11672, 2000, 1037, 2391, 2008, 2001, 1015, 1030, 1010, 1030, 4278, 1049, 1006, 1018, 1030, 1010, 1030, 5174, 3027, 1007, 2682, 2712, 2504, 1012, 102, 101, 2060, 6950, 2031, 2179, 2008, 21193, 2408, 1996, 13698, 3711, 2000, 2022, 17512, 2012, 1037, 5514, 3446, 2084, 1037, 2261, 5109, 3283, 1012, 1999, 1037, 3259, 2405, 1999, 2268, 2011, 1996, 2118, 1997, 10204, 1010, 1996, 5364, 10046, 5002, 1997, 6486, 21193, 2179, 6146, 17512, 1010, 1019, 17337, 1998, 1022, 10787, 2013, 2073, 2027, 2018, 2042, 1999, 3381, 1012, 1996, 13012, 6199, 10046, 2018, 1996, 4602, 2680, 7822, 1010, 3974, 8698, 1049, 1006, 1015, 1030, 1010, 1030, 5018, 3027, 1007, 1997, 2049, 3091, 2090, 1996, 2086, 2494, 1998, 2384, 1012, 1996, 7977, 2121, 15669, 3215, 2818, 10046, 2003, 1996, 2922, 10046, 1999, 5288, 1998, 2038, 2042, 3273, 2144, 1996, 2397, 3708, 2301, 1012, 15669, 3215, 2818, 10046, 11672, 1016, 1030, 1012, 1030, 1022, 2463, 1006, 1015, 1030, 1012, 1030, 1021, 2771, 1007, 2013, 6756, 2000, 2268, 1012, 2023, 3446, 1997, 7822, 2038, 2036, 3445, 2144, 3150, 1010, 2007, 2382, 1003, 1010, 2030, 5385, 1049, 1006, 1016, 1030, 1010, 1030, 5174, 3027, 1007, 1010, 1997, 1996, 2561 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.020850332986392335, 0.0016276930907995414, 0.004489990731159254, 0.00000438830752391364, 0.012181593434194254, 0.02849104549388664, 0.00005013278307420227, 0.044369308016515764, 0.00011417521193985294, 0.000024440217663727503, 0.0031103210423934127, 0.058784446032529844, 0.0006150810008179901, 0.17140404304612417, 0.006887431814859188, 1.0416178408304929e-8, 1.0416178408304929e-8, 0.00015584040965059366, 0.00090530141987286, 0.000010653701419587442, 0.0060951026225418824, 8.191546201540068e-7, 0.008669945623848874, 0.0000055654270493376725, 0.06889332499961064, 0.000011788877221137972, 0.0934866573553084, 0.001043162960173095, 0.05373889490250508, 0.000019693349474118114, 0.01961268186954493, 1.0416178408304929e-8, 0.05281358736783354, 0.05018817107452715, 0.0000034446929372461676, 0.000012623482275057752, 0.004270875036698157, 0.011040166659353238, 0.00006569565298232022, 0.00011590099975704176, 0.001122186762392512, 0.00753611526122658, 0.008354668208398414, 0.000003508607932473368, 0.008674760942519337, 0.14902829465999345, 0.0027910441358695946, 0.08094257496840208, 0.0025025495597731135, 0.014879944795878767 ]
[ 7822, 10066, 1999, 1996, 2197, 2322, 1003, 1997, 1996, 2051, 2558, 1012, 102, 101, 1996, 22294, 6906, 3215, 2818, 10046, 1999, 5288, 2038, 2018, 2028, 1997, 1996, 6493, 6993, 1997, 4045, 2817, 2007, 12142, 11702, 1997, 1996, 10046, 1005, 1055, 3091, 25819, 1999, 7261, 1012, 1996, 3452, 7822, 2013, 7261, 2000, 2687, 2038, 2042, 1016, 2463, 1006, 1015, 1030, 1012, 1030, 1016, 2771, 1007, 2007, 1037, 2812, 3296, 7822, 3446, 1997, 3155, 2459, 1049, 1006, 5179, 3027, 1007, 2566, 2095, 1012, 2023, 2146, 1030, 1011, 1030, 2744, 2779, 2001, 29295, 15602, 1999, 3522, 2086, 2007, 1996, 10046, 28667, 17819, 2382, 1049, 1006, 5818, 3027, 1007, 2566, 2095, 2076, 1996, 2558, 2090, 2639, 1516, 2384, 1012, 6660, 1010, 1997, 1996, 21193, 1999, 1996, 3059, 13698, 1010, 2069, 2055, 1037, 2353, 2020, 1999, 7822, 1999, 3150, 1010, 2096, 2011, 2639, 1010, 6486, 1003, 1997, 2122, 21193, 2020, 17512, 1012, 1999, 2384, 1010, 1996, 3059, 10046, 3222, 2179, 2008, 13138, 21193, 1999, 27728, 2020, 17512, 1012, 1037, 6721, 2817, 1997, 1996, 16420, 2953, 24085, 3981, 10046, 1999, 1996, 3059, 13698, 5393, 2008, 1996, 3446, 1997, 7822, 2013, 2526, 2000, 2294, 2001, 2172, 3020, 2084, 1999, 1996, 11003, 3486, 2086, 1012, 2000, 2817, 21193, 2284, 1999, 1996, 10348, 4655, 1997, 27728, 1010, 6950, 4102, 1037, 2186, 1997, 9682, 1998, 2598, 4871, 2579, 2013, 1996, 4856, 2083, 1996, 2220, 7398, 2301, 1998, 2139, 28901, 2008, 2090, 1996, 2086, 4051, 1030, 1011, 1030, 2494, 1996, 3262, 3760, 21193, 2179, 2045, 2439, 2062, 2084, 2431, 1997, 2037, 2181, 1012, 9377, 5855, 1997, 21193, 1999, 1996, 13698, 7127, 2008, 2045, 2004, 2042, 3278, 7822, 2144, 2913, 8420, 1012, 102, 101, 2295, 1996, 21193, 1997, 1996, 13698, 2031, 2363, 2062, 3086, 2013, 1043, 2721, 9793, 18738, 2084, 1999, 2060, 2752, 1997, 2885, 1010, 2470, 7127, 2008, 21193, 1999, 2642, 2885, 2024, 2036, 17512, 1012, 2144, 1996, 2203, 1997, 2088, 2162, 2462, 1010, 2358, 21759, 2721, 7405, 7389, 1999, 4701, 2038, 17215, 1996, 6493, 7142, 3742, 5703, 2817, 1999, 1996, 2088, 4146, 2013, 1996, 16985, 7011, 2721, 2470, 2276, 1012, 1999, 1996, 17710, 24700, 19025, 5562, 4020, 1997, 2642, 4701, 1010, 1037, 2817, 1997, 2385, 21193, 2090, 2901, 1998, 2541, 2179, 2008, 2403, 21193, 2020, 17512, 1010, 2028, 2001, 10787, 1998, 2028, 2001, 6540, 1012, 1999, 5120, 1010, 10046, 2913, 2031, 2042, 2864, 2144, 1996, 2220, 3708, 2301, 1010, 2007, 11778, 12265, 10607, 5570, 2144, 1996, 4134, 1012, 9514, 21193, 2031, 2018, 1037, 3227, 4997, 3742, 5703, 1010, 13557, 2076, 1996, 4134, 1010, 7803, 21193, 3662, 1037, 3893, 3742, 5703, 1998, 3935, 1012, 1996, 7803, 9849, 2031, 2042, 7108, 2000, 3082, 26043, 1999, 1996, 2558, 2960, 1030, 1011, 1030, 2786, 1012, 2174, 1010, 4359, 26043, 2144, 2038, 3303, 2087, 5046, 21193, 2000, 7822, 6022, 1012, 1037, 5002, 1997, 2861, 5046, 21193, 1999, 2230, 5393, 2008, 2676, 2020, 1999, 7822, 1010, 2028, 2018, 2053, 2689, 1998, 2093, 3935, 1012, 6660, 1010, 1999, 2286, 1010, 1997, 3943, 5046, 21193, 12876, 1010, 2656, 2020, 17512, 1010, 2176, 3662, 2053, 2689, 1998, 2093, 3935, 1012, 102, 101, 25540, 7875, 28029, 10046, 1999, 5120, 1010, 2019, 13307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00009234443056217292, 0.002956581626296027, 0.000856004134363395, 0.033154132788193534, 0.00005310789972869404, 0.0023957491668928853, 0.010575241394991814, 0.002406155744609349, 0.0289407639566995, 0.00006168976258736829, 0.07654883749208022, 0.026727586395940188, 9.091164986343999e-7, 0.00004362296218543266, 0.0001362513626468884, 0.0010255870336010051, 0.0007498975778570826, 0.0006078718947331767, 0.0003650070901271619, 8.33924029521003e-9, 0.07275981498844854, 9.455042917338337e-7, 0.0002063325693137572, 0.00015386079778763757, 0.0059261617112426794, 0.035999297693718194, 0.00015489421984299397, 0.0021527030281612795, 0.01388827320098562, 0.06205703269593529, 0.09897340299332343, 0.00014172558923303635, 0.000003676422327303521, 0.0001124560172754672, 0.007291561288487282, 0.08524918707761074, 0.009981959726140167, 0.007982495403142074, 2.8292468941397746e-7, 0.07009805916530897, 0.06716953091806839, 0.11012539682175221, 0.000338057810809001, 0.027510008771490468, 8.33924029521003e-9, 0.027003739740267478, 0.08637019724979278, 8.33924029521003e-9, 0.0004573238137213131, 0.020194255008517487 ]
[ 10046, 1997, 1996, 17917, 8445, 28992, 3256, 6178, 1010, 2018, 2195, 9849, 1999, 1996, 3983, 2301, 1010, 2295, 2009, 11672, 3263, 1049, 1006, 20982, 3027, 1007, 2090, 2639, 1998, 2297, 1012, 7987, 2368, 8943, 4877, 13578, 2368, 10046, 11672, 5179, 1049, 1006, 19681, 3027, 1007, 2090, 1996, 2086, 2456, 1998, 2297, 1010, 2096, 1996, 2128, 18552, 16150, 9777, 8337, 2912, 10046, 1010, 2029, 2038, 11672, 1016, 2463, 1006, 1015, 1030, 1012, 1030, 1016, 2771, 1007, 2144, 1996, 2203, 1997, 1996, 2210, 3256, 2287, 1010, 11672, 3263, 1049, 1006, 20982, 3027, 1007, 2090, 2722, 1030, 1011, 1030, 2289, 1012, 1996, 7987, 5480, 16150, 9777, 13578, 2368, 10046, 11672, 11816, 1049, 1006, 9683, 3027, 1007, 2090, 2727, 1998, 2432, 2007, 7558, 1049, 1006, 19540, 3027, 1007, 1997, 2008, 1999, 1996, 2197, 2095, 1997, 2008, 2817, 1025, 1996, 4602, 3296, 7822, 2680, 2006, 2008, 10046, 2144, 2913, 2211, 2045, 1999, 5141, 1012, 2023, 3275, 2001, 14872, 1999, 2294, 2007, 2274, 21193, 17512, 2058, 2531, 1049, 1006, 14210, 3027, 1007, 2013, 1996, 2991, 1997, 2384, 2000, 1996, 2991, 1997, 2294, 1012, 2176, 11730, 2013, 1996, 8183, 14701, 9777, 13578, 2368, 3256, 6178, 1010, 1996, 2922, 2303, 1997, 3256, 1999, 6803, 2885, 1010, 1047, 6460, 10695, 9305, 19022, 28029, 1010, 7987, 2368, 8943, 4877, 13578, 2368, 1010, 7987, 5480, 16150, 9777, 13578, 2368, 1998, 15214, 13462, 13578, 2368, 2018, 1037, 19124, 7822, 1997, 2062, 2084, 2531, 1049, 1006, 14210, 3027, 1007, 1012, 3452, 1010, 2013, 2639, 2000, 2384, 1010, 7987, 5480, 16150, 9777, 13578, 2368, 11672, 27954, 3620, 1006, 1015, 1030, 1010, 1030, 9402, 3027, 1007, 1012, 22160, 6460, 12718, 13578, 2050, 1010, 2019, 13307, 10046, 1997, 1996, 1042, 4747, 3351, 14876, 9516, 3256, 6178, 1010, 2018, 1037, 7822, 1997, 2471, 2531, 1049, 1006, 14210, 3027, 1007, 1012, 102, 101, 1999, 1996, 3009, 22696, 1010, 3522, 2913, 2031, 3491, 2590, 6409, 1999, 6698, 1998, 3872, 1997, 1996, 21193, 1997, 1996, 28935, 3207, 2696, 24875, 2076, 1996, 2558, 3261, 1516, 2384, 1012, 2122, 2421, 1037, 7312, 1999, 2181, 1997, 3486, 1030, 1012, 1030, 1021, 1003, 1010, 2013, 1016, 1030, 1012, 1030, 4601, 2463, 2475, 1006, 5174, 4631, 1007, 2000, 1014, 1030, 1012, 1030, 5786, 2581, 2463, 2475, 1006, 14168, 4631, 1007, 1010, 1037, 3279, 1999, 2561, 3256, 3872, 1997, 1014, 1030, 1012, 1030, 5890, 24434, 2463, 2509, 1006, 1014, 1030, 1012, 1030, 4002, 22394, 12731, 2771, 1007, 1998, 2019, 3623, 1999, 1996, 2812, 7998, 1997, 1996, 17381, 2744, 5498, 1997, 4724, 1030, 1012, 1030, 1019, 1049, 1006, 16065, 3027, 1007, 1012, 2005, 1996, 22696, 2004, 1037, 2878, 2753, 1516, 3438, 1003, 1997, 1996, 1043, 2721, 7405, 3064, 2181, 2038, 2042, 2439, 2144, 2889, 1012, 1996, 21451, 4183, 2271, 1010, 2566, 4305, 27390, 10624, 1998, 2474, 14163, 6200, 21193, 2031, 5419, 1999, 2023, 2558, 1012, 10125, 2566, 4305, 3527, 10046, 2038, 14021, 15532, 2243, 2013, 3938, 9076, 2000, 2871, 9076, 1012, 102, 101, 2004, 3988, 3426, 2005, 10046, 7822, 1999, 1996, 13698, 2144, 7973, 1010, 1037, 9885, 1997, 1996, 21193, 2632, 28759, 1010, 3303, 2011, 3919, 2304, 6351, 2064, 2022, 4453, 1012, 2429, 2000, 1037, 3189, 1010, 2023, 2089 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0002481136021287543, 0.008187770631586998, 0.07875666486928527, 0.0014512815513577286, 0.00533597502886184, 0.10172097239436734, 0.004209648728176725, 0.10479651532474596, 0.008361678107305117, 0.035790589292057286, 0.011376828410995368, 0.000026373856873979943, 0.12052485742030787, 0.016246414696171805, 0.08880110325009245, 8.332645890048328e-9, 0.00004599306277090194, 0.00015987846526324751, 0.023435765487330052, 0.03466842977654521, 0.01617566431937913, 0.001244930796698391, 0.0020871240095954673, 0.000318074053563428, 0.000001279965650343071, 0.01479229746579593, 0.002833734767618855, 0.11348104699347585, 0.00010543083476041902, 8.332645890048328e-9, 0.0001307208063984407, 0.057769076341418625, 0.00036564496792668714, 0.0014922486741596771, 0.0000349555094257599, 0.0001571921802084119, 0.00002058755653908334, 0.05551999046669403, 0.00002164889280870146, 0.00011555282566311852, 0.00007200333037668735, 0.0001818506379632437, 0.057256923156384434, 0.00018694685790834556, 0.0006942792649101058, 0.029767442696400602, 0.00008677777212150418, 0.0004027148936149602, 0.00021245134958478704, 0.00032653799143934485 ]
[ 2031, 14613, 1996, 7822, 1997, 21193, 1999, 2885, 2029, 4728, 2089, 2031, 2506, 2000, 7818, 2127, 3155, 1996, 2095, 4976, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 16881, 1998, 1996, 2845, 2521, 2264, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 16881, 2003, 4050, 6219, 2004, 1037, 11508, 2555, 1010, 11427, 2000, 1996, 4318, 2791, 1997, 1996, 3467, 4785, 1998, 2038, 21193, 2069, 1999, 1996, 2152, 23647, 2072, 4020, 1010, 2310, 8024, 6806, 7054, 6711, 2846, 1010, 24188, 5488, 2100, 2846, 1998, 3103, 7559, 1030, 1011, 1030, 1047, 26115, 2696, 2846, 1010, 4606, 4298, 1037, 2261, 2200, 2235, 21193, 1999, 1996, 8483, 2379, 2697, 21790, 12902, 1010, 2029, 2031, 2196, 2042, 17785, 1998, 2089, 2031, 3294, 5419, 2144, 2960, 1012, 2090, 1996, 2086, 3999, 1998, 2294, 1010, 1996, 21193, 2179, 1999, 1996, 17712, 16344, 2226, 6403, 2555, 14021, 26763, 2011, 1021, 1030, 1012, 1030, 1016, 3867, 1012, 2023, 22802, 4270, 2038, 2042, 3952, 1999, 1996, 11113, 13490, 4224, 1997, 1996, 21193, 1010, 2007, 19396, 1997, 2195, 3634, 5563, 2108, 5159, 2005, 2070, 21193, 1012, 1996, 23647, 2072, 2555, 2038, 2036, 5281, 2019, 3452, 4860, 3623, 1997, 1015, 1030, 1012, 1030, 1016, 5445, 8292, 4877, 4173, 1999, 1996, 2197, 6036, 2086, 2429, 2000, 1037, 3189, 2013, 2294, 1010, 2007, 2087, 1997, 2008, 3623, 10066, 2144, 1996, 2397, 3983, 2301, 1012, 102, 101, 1999, 1996, 2062, 7803, 1998, 3227, 4954, 3334, 2845, 2521, 2264, 1010, 27829, 7507, 2102, 2912, 1010, 6086, 2076, 3467, 2000, 14098, 2013, 1996, 15669, 21823, 2319, 2659, 1010, 2038, 2172, 2062, 4866, 1043, 2721, 23247, 21798, 2105, 3938, 2575, 2463, 2475, 1006, 8698, 5490, 2771, 1007, 2007, 4008, 2620, 2124, 21193, 2004, 1997, 2230, 1012, 2750, 3227, 3082, 3467, 26043, 1998, 4658, 2621, 7715, 1010, 1996, 2152, 2621, 10101, 1997, 1996, 2062, 2148, 12561, 13970, 15928, 3470, 1998, 7842, 15256, 4115, 1999, 3181, 2335, 14899, 6165, 2031, 2042, 2205, 2152, 2005, 1037, 3893, 3742, 5703, 2130, 2006, 1996, 3284, 11373, 1012, 1999, 1996, 14684, 23342, 5488, 2100, 6000, 2235, 10348, 21193, 2024, 3365, 1010, 2021, 1996, 6698, 1997, 1043, 2721, 23247, 1010, 2295, 3469, 2084, 2582, 2225, 1010, 2003, 2172, 3760, 2084, 1999, 27829, 7507, 2102, 2912, 1010, 2561, 2989, 2105, 3998, 2675, 3717, 1006, 6036, 5490, 2771, 1007, 1012, 102, 101, 4751, 2006, 1996, 7822, 1997, 21822, 1998, 2845, 2521, 2264, 21193, 2625, 11706, 2084, 1999, 2087, 2060, 1043, 2721, 7405, 3064, 2752, 1997, 1996, 2088, 1012, 2045, 2024, 2195, 4436, 2005, 2023, 1010, 1996, 4054, 2028, 2108, 2008, 2144, 1996, 7859, 1997, 15523, 2045, 2038, 2042, 1037, 2312, 7312, 1999, 1996, 2193, 1997, 8822, 3703, 1012, 2178, 5387, 2003, 2008, 1999, 1996, 2310, 8024, 6806, 7054, 6711, 1998, 24188, 5488, 2100, 8483, 2009, 2001, 2245, 21193, 2020, 9962, 2077, 2027, 2020, 3603, 2076, 1996, 7675, 1010, 5819, 1999, 11087, 1030, 1011, 1030, 6556, 27829, 7507, 2102, 2912, 1998, 14684, 23342, 2912, 1010, 2348, 1996, 4598, 1997, 21193, 2001, 2124, 3041, 1010, 8822, 1997, 2037, 2946, 5246, 2067, 2053, 3041, 2084, 1996, 2203, 1997, 2088, 2162, 2462, 1012, 9690, 1010, 2800, 2636, 2079, 5769, 1037, 2236, 7822 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07373243039099577, 0.001718317330311682, 0.0000995443808470615, 0.0000014008081719908489, 8.543415931079494e-9, 8.543415931079494e-9, 0.2123180654046747, 0.005606086901437185, 0.06654437998468989, 0.00030715597123338455, 0.0024486538112087337, 3.5211744282492744e-7, 0.051368064261924064, 0.0004750093966399775, 0.05478142784241059, 0.013726655525771285, 0.009496090935976443, 0.0030683841580323203, 0.017265135997280207, 0.042074151382700306, 0.007308158658498335, 0.11623404607168307, 0.06648277308428507, 0.003101715793061644, 0.00012381578821753998, 0.006956714136400742, 0.00001554694603232972, 0.0008904915419985236, 0.000002113574404528937, 0.01356745795763134, 0.06278304466223378, 0.0003303115432442063, 0.00018901941893239814, 0.04914694694183356, 0.0002400857123102712, 0.00005405621150585131, 0.006356042184525402, 0.00009196695434127718, 0.03389518224400072, 0.00003706428734768498, 8.543415931079494e-9, 8.543415931079494e-9, 0.00001585559103131132, 0.00014693126101053813, 0.00038141578389572553, 0.03010968712778318, 0.03345432244034406, 0.00013006835794633317, 0.011820767274664887, 0.0011030576754234454 ]
[ 1997, 2035, 21193, 1999, 1996, 23647, 2072, 4020, 2007, 1996, 6453, 1997, 10942, 21193, 1999, 27829, 7507, 2102, 2912, 1012, 7842, 15256, 1521, 1055, 21193, 1010, 21798, 10920, 2675, 7338, 1010, 2031, 14021, 15532, 2243, 2011, 2105, 2654, 3867, 2144, 3386, 4285, 2195, 3867, 6604, 1999, 2070, 3182, 1010, 5819, 1999, 1996, 23647, 2072, 1998, 14684, 23342, 9126, 4020, 1998, 2512, 1030, 1011, 1030, 10942, 2752, 1997, 27829, 7507, 2102, 2912, 1010, 1996, 22802, 4270, 2003, 9839, 3469, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 4021, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 26779, 1998, 2060, 3137, 8859, 1997, 2430, 4021, 2490, 2312, 1043, 2721, 7405, 3064, 4655, 1012, 2019, 4358, 2321, 1030, 1010, 1030, 2199, 21193, 2064, 2022, 2179, 1999, 1996, 3618, 26779, 1010, 2007, 3313, 2008, 2193, 1999, 1996, 7560, 13970, 4095, 1998, 13173, 21815, 3286, 1998, 5495, 2078, 17137, 8483, 1010, 1998, 15821, 1996, 2922, 1043, 2721, 7405, 3064, 2555, 2648, 1996, 10567, 1012, 2122, 21193, 3073, 4187, 2300, 6067, 2000, 17511, 3032, 2107, 2004, 13906, 1010, 2530, 2859, 1010, 4501, 1010, 7041, 1998, 2634, 1012, 2004, 2007, 21193, 4969, 1010, 2216, 1997, 1996, 3618, 28333, 2555, 2024, 13417, 1037, 6689, 1999, 3742, 1010, 1998, 6950, 4366, 2008, 2090, 1996, 2220, 3955, 1998, 2220, 8876, 1010, 2045, 2018, 2042, 1037, 1023, 3867, 7312, 1999, 3256, 3742, 1012, 2689, 1999, 4860, 2038, 2419, 2000, 13721, 1998, 1996, 4195, 1998, 4935, 1997, 17381, 6597, 2029, 2071, 3426, 2019, 3623, 1999, 1996, 2193, 1997, 17381, 2697, 27719, 14295, 1006, 1043, 4135, 10343, 1007, 1012, 2065, 1996, 2556, 12878, 29486, 1996, 3256, 3742, 2097, 6360, 2022, 4359, 1010, 1998, 2097, 7461, 1996, 11343, 1997, 2300, 4219, 1010, 2295, 2300, 3279, 2003, 2025, 3517, 2000, 3426, 3471, 2005, 2116, 5109, 1012, 102, 101, 1999, 1996, 11333, 26370, 7120, 1997, 7041, 2654, 1997, 2382, 21193, 8920, 11672, 6022, 2090, 3299, 1516, 2494, 1010, 2007, 2019, 2779, 7822, 1997, 2340, 1049, 1006, 4029, 3027, 1007, 2566, 2095, 1012, 2028, 1997, 2122, 21193, 1010, 1996, 27838, 7834, 5794, 10046, 1010, 11672, 17267, 1049, 1006, 1015, 1030, 1010, 1030, 23475, 3027, 1007, 2076, 2023, 2558, 1010, 2025, 3243, 2184, 1003, 1997, 2049, 1019, 1030, 1012, 1030, 1016, 2463, 1006, 1017, 1030, 1012, 1030, 1016, 2771, 1007, 3091, 1012, 1999, 12843, 6079, 2475, 21193, 1999, 2859, 2090, 3925, 1998, 3359, 1010, 5187, 1003, 1997, 1996, 21193, 3273, 2020, 17512, 1012, 2044, 2901, 1010, 5345, 1003, 1997, 2122, 21193, 2020, 7594, 2000, 2022, 17512, 1010, 8131, 2008, 7822, 1997, 2122, 21193, 2001, 3352, 2062, 6923, 1012, 21193, 1999, 1996, 4057, 23914, 2555, 1997, 1996, 26779, 2024, 2035, 1999, 1037, 2110, 1997, 7822, 1012, 1996, 6902, 18259, 6968, 10046, 1010, 19689, 1996, 2167, 2217, 1997, 4057, 23914, 2046, 13319, 1010, 2038, 2042, 17512, 2322, 1049, 1006, 5764, 3027, 1007, 2566, 2095, 1012, 1999, 1996, 1047, 28600, 8569, 2555, 1997, 8222, 2247, 1996, 2392, 1997, 1996, 2364, 2032, 7911, 3148, 1997, 2321, 21193, 8920, 2013, 3299, 1516, 2289, 2035, 11672, 6022, 1998, 1996, 2779, 7822, 2001, 2654, 1049, 1006, 6227, 3027, 1007, 2566, 2095, 1012, 1996, 2087, 3297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.02713186027836797, 0.001334891181880072, 0.00005602196151413439, 8.037160615824213e-9, 0.000010637682376472281, 0.008148157815593937, 0.10572659228412945, 0.0008105408390302482, 0.00008588574800855886, 0.00042832283072256503, 0.05815066580808048, 0.020367171971059035, 0.00006082643209663291, 0.04400615025968203, 0.06280014201123908, 0.01858565610977207, 0.00072831012908213, 0.03238106201962694, 0.04604500613996357, 0.0016715650661188347, 0.04867869346825892, 0.01236851779825675, 0.00011560821269798417, 0.0030629731909174894, 0.016226174816032633, 0.03001812407400161, 0.06856658740436834, 0.00004874258887095507, 0.026080872577534452, 8.037160615824213e-9, 0.014098790517543673, 0.011768554009909992, 0.00003606674265238296, 0.05807876192682566, 0.004077014821872845, 0.02695813624783325, 0.004178130979852831, 0.000016530528407501798, 0.007128757763148559, 0.0000020953266183491236, 0.03110275282364258, 1.1391354784919416e-7, 0.03262600472188745, 0.00018028462516305493, 0.00001096546815850689, 0.00013326430391109553, 0.01608897924754488, 0.15163611151821538, 8.037160615824213e-9, 0.008182899702499037 ]
[ 1997, 2122, 1010, 1996, 1047, 28600, 8569, 10046, 1010, 11672, 2012, 1037, 3446, 1997, 2324, 1049, 1006, 5354, 3027, 1007, 2566, 2095, 2013, 3299, 1516, 2289, 1012, 1999, 2634, 1010, 1996, 6080, 4140, 3089, 10046, 11672, 1015, 1030, 1010, 1030, 16471, 1049, 1006, 1017, 1030, 1010, 1030, 6146, 2509, 3027, 1007, 2090, 1996, 2086, 4266, 1998, 2727, 2007, 15678, 1049, 1006, 1016, 1030, 1010, 1030, 6535, 2692, 3027, 1007, 1997, 2008, 7822, 10066, 1999, 1996, 2197, 2423, 2086, 1997, 1996, 3983, 2301, 1012, 2174, 1010, 1996, 10046, 2003, 2145, 2058, 2382, 2463, 1006, 2539, 2771, 1007, 2146, 1012, 1999, 9033, 24103, 2213, 1010, 2656, 21193, 8920, 2090, 1996, 2086, 3299, 1998, 2384, 2020, 17512, 2012, 2019, 2779, 3446, 1997, 2410, 1030, 1012, 1030, 6185, 1049, 1006, 4413, 1030, 1012, 1030, 1021, 3027, 1007, 2566, 2095, 1012, 3452, 1010, 21193, 1999, 1996, 3618, 28333, 2555, 2008, 2031, 2042, 3273, 2024, 17512, 2019, 2779, 1997, 2090, 2324, 1998, 2322, 1049, 1006, 5354, 1998, 5764, 3027, 1007, 6604, 1012, 1996, 2069, 2555, 1999, 1996, 3618, 2032, 7911, 3148, 2008, 2038, 2464, 17381, 9849, 2003, 1999, 1996, 13173, 21815, 3286, 2846, 1998, 2069, 1999, 1996, 3284, 6678, 21193, 1010, 2021, 2023, 2038, 2042, 7108, 4298, 3445, 13511, 2004, 2092, 2004, 2000, 1996, 2522, 14343, 22248, 17381, 12058, 2015, 1010, 2073, 1996, 10046, 4416, 9849, 2349, 2000, 3778, 3857, 2039, 2013, 4586, 1998, 3256, 20299, 2582, 2039, 1996, 10046, 1012, 2090, 1996, 2086, 2722, 1998, 2541, 1010, 6273, 2463, 1006, 4413, 2771, 1007, 2146, 12170, 10354, 2080, 10046, 4317, 6675, 2184, 2000, 2423, 1049, 1006, 3943, 2000, 6445, 3027, 1007, 3054, 1030, 1011, 1030, 10046, 1010, 2174, 2009, 2106, 2025, 5083, 1012, 102, 101, 2007, 1996, 7822, 1997, 21193, 1999, 1996, 26779, 1010, 1037, 2193, 1997, 17381, 6597, 2031, 2042, 2580, 1012, 1037, 3652, 5142, 2003, 1996, 4022, 2005, 1043, 4135, 10343, 6950, 10197, 2538, 17381, 6597, 1999, 8222, 1998, 2484, 1999, 18768, 13382, 22010, 2000, 2529, 7080, 2323, 2037, 5536, 26821, 10586, 8246, 1012, 2028, 17381, 2697, 4453, 2004, 9280, 17760, 2003, 18768, 1005, 1055, 9680, 7898, 7913, 3070, 24529, 6806, 1010, 2029, 7594, 1015, 1030, 1012, 1030, 1020, 2463, 1006, 1014, 1030, 1012, 1030, 5585, 2771, 1007, 2146, 1010, 1014, 1030, 1012, 1030, 5986, 2463, 1006, 1014, 1030, 1012, 1030, 3438, 2771, 1007, 2898, 1998, 3770, 1049, 1006, 13539, 3027, 1007, 2784, 1999, 3069, 1012, 2011, 2786, 1996, 2697, 2018, 13408, 2000, 1037, 3091, 1997, 1015, 1030, 1012, 1030, 6365, 2463, 1006, 1015, 1030, 1012, 1030, 2538, 2771, 1007, 1010, 1015, 1030, 1012, 1030, 2410, 2463, 1006, 1014, 1030, 1012, 1030, 3963, 2771, 1007, 1999, 9381, 1998, 1037, 5995, 1997, 10550, 1049, 1006, 28474, 3027, 1007, 1012, 1999, 2807, 1037, 1043, 4135, 2546, 2013, 11320, 22772, 2063, 24529, 6806, 1010, 1037, 17381, 2697, 5516, 2000, 9680, 7898, 7913, 3070, 24529, 6806, 1010, 2730, 2603, 2111, 13248, 1012, 102, 101, 21193, 1999, 1996, 17712, 1030, 1011, 1030, 11895, 16555, 2846, 1999, 23209, 5281, 1037, 7263, 3279, 2090, 3826, 1998, 3355, 1998, 2019, 14613, 3279, 1997, 2322, 1003, 1997, 2037, 3588, 3742, 2090, 3355, 1998, 2541, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0028140599590345994, 9.164626009942803e-9, 9.164626009942803e-9, 0.028773583049160067, 0.031135345519894206, 0.0746628548079803, 0.005630096408327191, 0.00006577887375496456, 0.027896678630382938, 0.0006986832678899634, 0.003239556095741331, 0.00006297567404214297, 0.07403233001960141, 0.025391169816051117, 0.0001393543581898412, 0.0017608639547637998, 0.00010064033117132277, 0.000012228667597904821, 0.0019203320523375979, 0.00005885572949917415, 0.000006547033525699399, 0.00004812610698746242, 0.0933470240453611, 0.03422070525800196, 0.003221835430067838, 0.0005211514629176717, 0.000005026256561897924, 0.0054289108030237876, 0.00110649936924374, 0.02811190503853917, 0.12315515366409029, 0.0021926214465667984, 0.00652437761294654, 0.013590075021661175, 0.0003371105371988712, 0.0030185201392968763, 0.005784953525765402, 0.04715106853242553, 0.004692149663113502, 0.04392511808399589, 0.004184342269390433, 0.0009063008988738994, 0.20459388350639018, 0.00000815192268346146, 0.015987841177964698, 0.02737891863072518, 0.04660557512036394, 9.164626009942803e-9, 0.00023480451362512073, 0.005315888219393947 ]
[ 1999, 1996, 5495, 2078, 17137, 4020, 1010, 2029, 23209, 6661, 2007, 2859, 1998, 11769, 1010, 2913, 1999, 1996, 2642, 2752, 1997, 2008, 3137, 2846, 2265, 2008, 1996, 21193, 2008, 2393, 4425, 2300, 2000, 2023, 17511, 2555, 1010, 2439, 3053, 1016, 2463, 2509, 1006, 1014, 1030, 1012, 1030, 4466, 12731, 2771, 1007, 1997, 3256, 2566, 2095, 2090, 3982, 1998, 2456, 1012, 1996, 2118, 1997, 4345, 2817, 2036, 2988, 2008, 2019, 2779, 1997, 1015, 1030, 1012, 1030, 2654, 1003, 1997, 1996, 3872, 1997, 2122, 21193, 2018, 2042, 2439, 2566, 2095, 2090, 3326, 1998, 2901, 1012, 102, 101, 1996, 14089, 18894, 3137, 2846, 2284, 3952, 1999, 23538, 1010, 2038, 3155, 2809, 4595, 21193, 1010, 2116, 1997, 2029, 2024, 1999, 1037, 2236, 2110, 1997, 7822, 1012, 2076, 1996, 3983, 2301, 1010, 1996, 21193, 1997, 23538, 2439, 2322, 2463, 2509, 1006, 1018, 1030, 1012, 1030, 1022, 12731, 2771, 1007, 1997, 3256, 1012, 1996, 3963, 2463, 1006, 4724, 2771, 1007, 2146, 7349, 25872, 10046, 1010, 2029, 2003, 1996, 2922, 1999, 23538, 1998, 1996, 2922, 2512, 1030, 1011, 1030, 11508, 10046, 2006, 3011, 1010, 11672, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 5786, 2771, 1007, 2090, 1996, 2086, 4537, 1998, 2294, 1010, 1998, 2439, 4008, 2463, 2475, 1006, 2459, 5490, 2771, 1007, 1997, 2049, 3302, 2181, 2349, 2000, 22802, 4270, 2090, 1996, 2086, 3547, 1998, 2456, 1012, 23538, 1998, 8581, 3032, 1997, 1996, 14089, 4313, 2846, 2024, 3811, 7790, 2588, 17381, 19550, 2000, 5676, 2314, 4834, 2076, 14734, 2015, 1998, 1996, 4318, 3692, 5281, 2296, 2095, 1012, 1996, 2506, 13614, 1997, 10046, 3256, 2097, 2765, 1999, 1037, 2460, 1030, 1011, 1030, 2744, 3623, 1010, 2628, 2011, 1037, 2146, 1030, 1011, 1030, 2744, 9885, 1999, 17381, 14899, 2300, 8577, 2046, 5485, 1998, 9199, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 20526, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 2047, 3414, 1010, 3137, 21193, 2031, 2042, 1999, 2236, 7822, 2144, 6193, 1010, 2007, 2019, 16264, 2144, 4444, 1012, 2087, 2031, 2033, 3022, 4648, 6321, 4857, 7228, 1998, 4359, 1999, 2946, 1010, 1998, 1996, 4586, 20299, 10019, 2031, 13763, 1999, 6678, 2004, 1996, 3983, 2301, 12506, 1012, 2090, 3411, 1516, 4293, 11554, 10046, 28667, 19082, 2382, 1049, 1006, 5818, 3027, 1007, 2013, 1996, 17381, 7342, 1010, 1998, 2055, 2656, 1003, 1997, 2049, 3302, 2181, 2001, 2439, 1012, 2144, 3150, 3365, 2235, 17381, 6597, 2719, 2369, 1996, 2047, 5536, 26821, 10586, 1997, 2195, 1997, 2122, 21193, 1012, 21193, 2107, 2004, 2465, 2368, 1010, 2643, 3051, 1998, 5203, 2085, 2035, 2031, 2047, 17381, 6597, 2917, 2037, 5536, 5269, 2349, 2000, 1996, 17381, 7822, 2058, 1996, 2627, 2322, 2086, 1012, 5871, 13425, 7127, 2008, 2122, 6597, 2024, 5719, 2000, 7818, 1012, 2045, 2038, 2042, 3278, 1998, 7552, 3256, 3872, 6409, 2006, 1996, 2922, 2047, 3414, 21193, 1010, 2164, 1996, 11937, 11512, 1010, 11554, 1010, 2465, 2368, 1010, 26774, 1010, 21696, 1010, 17074, 1010, 4462, 1010, 2643, 3051, 1010, 19460, 1010, 14163, 11140, 10929, 1010, 1996, 17830, 1010, 26089, 1998, 5203, 21193, 1012, 1996, 7822, 1997, 2122, 21193, 2038, 2042, 4417, 2011, 9186, 4013, 23296, 6305, 4818, 6597, 1998, 7342, 2555, 4857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0616488310079808, 0.00931519197236011, 0.006868059315727611, 0.004823854274651225, 0.00006200702014070053, 0.0051191846650874605, 0.07183429877384184, 0.000013477409194138043, 0.000017406726924169376, 0.00014125150078499708, 0.009654672861213513, 0.027860198042035527, 0.006120098260330396, 0.0020463769240308943, 0.005145464612833579, 0.011533258805390403, 0.09684778716649468, 0.00739966671920913, 8.751858128879965e-9, 8.751858128879965e-9, 0.03225894353838151, 0.02500534511190288, 0.0019199844832950956, 0.02510336966530394, 0.052553306472055146, 0.02479447304764157, 0.041381310077910356, 0.029707810852204822, 0.018252005370553256, 0.0014407839489599442, 0.02667903148823979, 0.027945575136952186, 0.01156107873003152, 0.005426294235693959, 0.000012285559937087658, 0.02144501492720839, 0.04405968248355543, 0.005201976020597947, 0.00021504692637836734, 0.03232416129390021, 0.03073520423207585, 0.1049862747747581, 0.00003644728775707623, 0.0014228825572192665, 0.031478369207762986, 0.00572043749130885, 0.000038156548314860826, 0.00033608297655556626, 0.07128729339972022, 0.00022026859187633416 ]
[ 5582, 1012, 1996, 3279, 1999, 2670, 13698, 2561, 3256, 3872, 2013, 3299, 1516, 2297, 2003, 4090, 3867, 1997, 1996, 2561, 1012, 102, 101, 2195, 21193, 1010, 5546, 1996, 2172, 1030, 1011, 1030, 4716, 4419, 1998, 8965, 12947, 21193, 2006, 2047, 3414, 1005, 1055, 2225, 3023, 1010, 2031, 18043, 3935, 1010, 2926, 2076, 1996, 4134, 1010, 2021, 1996, 4094, 1997, 2122, 9849, 2003, 2235, 2043, 4102, 2000, 3983, 1030, 1011, 1030, 2301, 7822, 1012, 2119, 2024, 2062, 2084, 1016, 1030, 1012, 1030, 1019, 2463, 1006, 1015, 1030, 1012, 1030, 1020, 2771, 1007, 7820, 2084, 1037, 2301, 3283, 1012, 2122, 2312, 1010, 5901, 8577, 21193, 4350, 2006, 9561, 10314, 2031, 2042, 2200, 22643, 2000, 2235, 3742, 1030, 1011, 1030, 5703, 3431, 1012, 1037, 2261, 2086, 1997, 3785, 11119, 2000, 10046, 5083, 1010, 2107, 2004, 2062, 2225, 12561, 7266, 1998, 1037, 4525, 3623, 1999, 26043, 1010, 2024, 5901, 10187, 1999, 1037, 7978, 5083, 1010, 2628, 2011, 8053, 5915, 7822, 2043, 2216, 11119, 3785, 2203, 1012, 1996, 21193, 2008, 2031, 2042, 10787, 1999, 1037, 2261, 5269, 1999, 2047, 3414, 2031, 2042, 2725, 2061, 2349, 2000, 25354, 2334, 4633, 3785, 1010, 2029, 2031, 2716, 2062, 13511, 1998, 6112, 3771, 1010, 14976, 10945, 2144, 2526, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2530, 14130, 1027, 1027, 1027, 102, 101, 102, 101, 2167, 2137, 21193, 2024, 3952, 2284, 2247, 1996, 8560, 1997, 1996, 6857, 4020, 1999, 1996, 2142, 2163, 1998, 2710, 1010, 1998, 1996, 3534, 3023, 8483, 8402, 2013, 2642, 2662, 2000, 7397, 1012, 2096, 16128, 2003, 9843, 2135, 3378, 2007, 2167, 2637, 1010, 2009, 2003, 2036, 1037, 2112, 1997, 1996, 10162, 2555, 1012, 4237, 2013, 1996, 2261, 10401, 5880, 21193, 2107, 2004, 27006, 2226, 10046, 1010, 1999, 1996, 5083, 2754, 1997, 2037, 10401, 5880, 10046, 5402, 15157, 2247, 1996, 3023, 1997, 7397, 1010, 8990, 2035, 1997, 2216, 1999, 2167, 2637, 2024, 1999, 1037, 2110, 1997, 7822, 1012, 2023, 3446, 2038, 3445, 5901, 2144, 2105, 3150, 1010, 1998, 3452, 2169, 5476, 2144, 2038, 2464, 3618, 6165, 1997, 7822, 2084, 1996, 11003, 2028, 1012, 2045, 2024, 2036, 2235, 19614, 21193, 7932, 2802, 1996, 7838, 7756, 4020, 1997, 2662, 1998, 7756, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 16690, 2846, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 16690, 2846, 1997, 2530, 2167, 2637, 8908, 2013, 2670, 2329, 3996, 1999, 2710, 2000, 2642, 2662, 1012, 3272, 2075, 7397, 1010, 2055, 2431, 1997, 1996, 17381, 2181, 1999, 1996, 1057, 1012, 1055, 1012, 2003, 4838, 2306, 1996, 2058, 6352, 21193, 1997, 1996, 2167, 16690, 2015, 1010, 1037, 4664, 1997, 2216, 2284, 2090, 1996, 3010, 3675, 1998, 1045, 1030, 1011, 1030, 3938, 1999, 2430, 2899, 1012, 2122, 5383, 2172, 2300, 2004, 2003, 2179, 1999, 2035, 1996, 6597, 1998, 22535, 1999, 1996, 2717, 1997, 1996, 2110, 1010, 1998, 3073, 2172, 1997, 1996, 5460, 1998, 2314, 4834, 1999, 1996, 4318, 2621, 2706, 1010, 22480, 22835, 2070, 28864, 1030, 1010, 1030, 2199, 29061, 1006, 1015, 1030, 1010, 1030, 8574, 1030, 1010, 1030, 2199, 12731, 21076, 1007, 1012, 102, 101, 2004, 3728, 2004, 3339, 2116, 2167, 16690, 21193, 2020, 10787, 2349, 2000, 14976, 4633 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07202353994803741, 0.0004090970056304723, 0.053797652024448646, 0.00004468764060545883, 0.0000019431891218647704, 0.04055560171593825, 0.0563319469563145, 0.00022897824295317336, 0.007807417405131461, 0.003643406453000269, 0.007926602501049086, 0.00002548453277094662, 0.0012721767881665863, 0.015951969691097613, 0.05966134076321609, 0.06852584119946405, 0.008258882125557296, 0.03939779893985309, 0.003071081087669955, 0.014727163204382212, 0.000020449481119681282, 0.0068229686859049305, 0.00006055164003443035, 9.924474747175107e-9, 0.000026112849951006705, 0.001107365774560639, 0.014225664758670372, 0.00010230004797380493, 0.000741187268308655, 0.012525989886328416, 0.0001337284561625997, 0.06445122867229162, 0.10012195405566801, 0.006038608875702193, 9.924474747175107e-9, 0.06764724788708035, 0.02612145760946934, 0.007819436687344139, 0.000017570053722683585, 0.014375915230877922, 0.04238839886514003, 0.06536477670695437, 0.00629810976639229, 9.924474747175107e-9, 0.0012185952754549785, 0.00002504713347247872, 0.00013693876729688228, 0.014365041106520277, 0.0006641646578074671, 0.09351654861195778 ]
[ 1998, 3445, 13511, 2008, 4158, 2013, 3646, 2000, 3299, 1012, 2011, 3055, 1996, 2167, 16690, 21193, 2020, 17512, 1998, 1996, 6393, 2018, 3445, 2169, 5476, 2144, 1996, 3054, 1030, 1011, 1030, 3955, 1012, 2090, 3118, 1998, 2384, 1996, 2167, 16690, 21193, 2439, 2019, 2779, 1997, 2062, 2084, 2260, 1030, 1012, 1030, 1019, 3620, 1006, 4601, 3027, 1007, 1999, 14983, 1998, 2322, 1516, 2871, 3867, 1997, 2037, 3872, 1012, 102, 101, 1043, 2721, 9793, 18738, 20059, 1996, 2167, 16690, 2015, 2179, 2008, 2035, 4700, 17785, 21193, 2024, 28667, 17819, 2096, 2176, 21193, 1517, 6804, 10046, 1010, 4572, 10046, 1010, 6501, 2697, 10046, 1998, 2585, 10046, 1517, 2031, 5419, 3294, 2144, 3106, 1012, 1996, 2317, 8057, 10046, 1006, 2379, 10046, 4672, 1007, 2003, 1037, 3391, 6918, 2742, 1012, 1996, 10046, 2181, 14021, 26763, 2013, 1017, 1030, 1012, 1030, 1015, 2463, 2475, 1006, 1015, 1030, 1012, 1030, 1016, 5490, 2771, 1007, 1999, 3845, 2000, 1014, 1030, 1012, 1030, 1023, 2463, 2475, 1006, 1014, 1030, 1012, 1030, 3486, 5490, 2771, 1007, 2011, 2526, 1012, 2090, 7973, 1998, 3925, 1010, 1996, 13264, 10046, 2006, 1996, 4643, 12205, 1997, 4057, 6243, 11672, 1022, 1030, 1010, 1030, 6352, 2519, 1006, 1016, 1030, 1010, 1030, 6352, 1049, 1007, 1012, 2520, 2146, 1997, 1996, 2142, 2163, 3224, 2326, 5159, 1996, 10046, 2927, 2000, 5083, 2349, 2000, 14976, 1013, 4954, 3334, 4633, 1999, 4052, 1012, 2023, 2001, 2628, 2011, 1037, 6356, 2509, 3620, 1006, 1016, 1030, 1010, 1030, 4724, 2620, 3027, 1007, 5083, 2011, 3245, 1012, 1996, 10046, 2153, 11672, 10332, 1049, 1006, 1015, 1030, 1010, 1030, 17295, 3027, 1007, 2013, 3055, 2000, 2384, 1010, 2975, 20225, 9291, 2369, 1012, 2023, 7822, 2038, 4158, 2076, 1037, 2558, 1997, 4359, 3467, 26043, 1998, 3020, 2621, 7715, 1012, 1999, 2023, 2555, 1997, 1996, 16690, 2015, 1010, 3467, 4586, 23947, 2038, 6430, 2423, 1003, 2144, 3918, 1010, 1998, 2621, 7715, 2031, 13763, 1014, 1030, 1012, 1030, 1021, 1080, 1039, 1006, 1015, 1030, 1012, 1030, 1016, 1080, 1042, 1007, 2076, 1996, 2168, 2558, 1012, 1996, 4359, 4586, 23947, 2038, 4158, 2750, 1037, 2235, 3623, 1999, 3467, 13511, 1517, 2947, 1010, 2009, 11138, 16676, 3467, 7715, 2877, 2000, 10101, 1998, 13721, 2006, 21193, 2130, 2076, 1996, 3467, 1012, 2004, 1997, 2384, 1010, 6163, 1003, 1997, 1996, 2167, 16690, 21193, 5159, 2024, 1999, 4487, 3366, 26147, 12322, 18802, 1998, 2097, 2025, 5788, 1996, 13633, 1997, 1996, 2556, 4785, 1012, 2122, 21193, 2097, 2776, 10436, 4983, 7715, 2991, 1998, 7708, 13511, 7457, 1012, 1996, 3588, 21193, 2024, 3517, 2000, 27790, 1010, 4983, 1996, 4785, 4247, 2000, 4010, 1010, 2021, 2097, 2022, 2172, 4359, 1999, 2946, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 1057, 1012, 1055, 1012, 6857, 4020, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 2006, 1996, 18304, 10314, 1997, 1996, 3284, 11373, 1997, 10046, 2120, 2380, 1999, 8124, 1010, 1996, 15248, 21193, 2024, 11737, 5498, 12227, 5901, 1012, 1996, 2181, 1997, 2169, 10046, 2038, 2042, 17715, 2005, 5109, 2011, 1996, 2120, 2380, 2326, 1998, 1996, 1057, 1012, 1055, 1012, 9843, 5002, 1012, 13599, 7008, 2013, 1996, 3054, 1030, 1011, 1030, 3708, 2301, 2007, 3824, 4871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.12186270959335273, 0.006775840656201514, 9.616257286936913e-8, 0.000010861256523447388, 0.00035448751802124863, 0.00007142608226514315, 0.00266326296222049, 0.00022390680304546442, 0.06519051321944076, 0.002936785712770829, 0.02635696218137133, 0.03243545631129894, 0.0006453877409227436, 0.00793564824689032, 0.00015268363875224936, 0.061875036111615954, 0.009613893034620229, 0.0019836436449246564, 0.02614145513330781, 0.000035236453650837306, 0.07586416625496305, 0.00007997754065481432, 0.00022737941522474157, 0.011650486275022668, 0.0068044364634016865, 0.000005064819035925718, 0.000003205321904700332, 0.002866262685577749, 0.04427556901520774, 0.003895864988559557, 0.00044977450939102904, 0.13484235725677748, 0.015888819376150554, 0.0002501456848295768, 0.000015023368370863073, 0.00007428088799305489, 0.00009644677699868957, 0.000011863359060380264, 0.007928719597557437, 0.06484275312987256, 0.04341802773160729, 9.444073281286418e-8, 0.04503599569284524, 0.10373332374168585, 0.011070554384881335, 0.03605980746384896, 0.017200803298498914, 0.000014431485590433245, 0.0061290561319646665, 1.6438021017427837e-8 ]
[ 3640, 20851, 3350, 2008, 2027, 2031, 11672, 5546, 2144, 7973, 1012, 9377, 5855, 2144, 4415, 2265, 2008, 21193, 2107, 2004, 5861, 9091, 10046, 2024, 2035, 17512, 1012, 1996, 3469, 21193, 2024, 2085, 3155, 1037, 2353, 1997, 2037, 2280, 2946, 2043, 2034, 3273, 1999, 7973, 1010, 1998, 3365, 3760, 21193, 2031, 5419, 3294, 1012, 2069, 2676, 1003, 1997, 1996, 5585, 2463, 2475, 1006, 4229, 5490, 2771, 1007, 2181, 1997, 10046, 2120, 2380, 3139, 2011, 21193, 1999, 7973, 2815, 3139, 2011, 2857, 1012, 6950, 2903, 2008, 2011, 1996, 2095, 18540, 2692, 1010, 1996, 6565, 3484, 1997, 17381, 3256, 1999, 10046, 2120, 2380, 2097, 2022, 2908, 4983, 2783, 4785, 7060, 7901, 2037, 2607, 1012, 5861, 9091, 10046, 2003, 2074, 2028, 1997, 2116, 21193, 1999, 10046, 2120, 2380, 2008, 2031, 2042, 2092, 8832, 2011, 7008, 2005, 2116, 5109, 1012, 1996, 7008, 2917, 4415, 10580, 1996, 7822, 1997, 2023, 10046, 2144, 4260, 1012, 102, 101, 1996, 4100, 8486, 2094, 4785, 1997, 10622, 2145, 9020, 2000, 2490, 2055, 1037, 6474, 2235, 21193, 2306, 2882, 8915, 2669, 2120, 2380, 1010, 2029, 2035, 2265, 3350, 1997, 7822, 2058, 1996, 2627, 2753, 2086, 1012, 2082, 9954, 10046, 2003, 2284, 3621, 4943, 1997, 2882, 8915, 2669, 2003, 2028, 1997, 1996, 2062, 4089, 2584, 21193, 1999, 1996, 2380, 1998, 2009, 2003, 3517, 2000, 10436, 2011, 16798, 2629, 1012, 2470, 2090, 3925, 1998, 2639, 7645, 2008, 1996, 21193, 1999, 2958, 2099, 1030, 1011, 1030, 8915, 2669, 2120, 3224, 1998, 26822, 22231, 2638, 2120, 3224, 1999, 1996, 3612, 2314, 2846, 14021, 26763, 2011, 2058, 1037, 2353, 1997, 2037, 2946, 2076, 2008, 2558, 1012, 7008, 5769, 2008, 1996, 21193, 2651, 2024, 2069, 2431, 1996, 2946, 2004, 2043, 2034, 16164, 1999, 1996, 2397, 13678, 1012, 2470, 2036, 7127, 2008, 1996, 17381, 7822, 2001, 10817, 28239, 3618, 1999, 1996, 4134, 2084, 1999, 2151, 2060, 5476, 2058, 1996, 2197, 2531, 2086, 1012, 25957, 15361, 10046, 2006, 1996, 4794, 9663, 1997, 25957, 15361, 4672, 2003, 1996, 2922, 2309, 10046, 1999, 1996, 6857, 4020, 2148, 1997, 2710, 1012, 2009, 2038, 7283, 2439, 2058, 2753, 1003, 1997, 2049, 3872, 2144, 4444, 1010, 2007, 2471, 2431, 1997, 2008, 3279, 10066, 2144, 3150, 1012, 1043, 2721, 9793, 18738, 2903, 1996, 3588, 21193, 1999, 10622, 2097, 10436, 2011, 1996, 2690, 1997, 1996, 7398, 2301, 2065, 1996, 2783, 4785, 7060, 3613, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 3010, 22366, 1998, 3023, 1998, 3996, 4020, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 1996, 3010, 22366, 1010, 21193, 2024, 3227, 3469, 1998, 2062, 6923, 2084, 2000, 1996, 2148, 1999, 1996, 6857, 4020, 1012, 2028, 1997, 1996, 2062, 7801, 1999, 1996, 3010, 22366, 2003, 1996, 2012, 25459, 3022, 3540, 10046, 1010, 2029, 2003, 2019, 13307, 10046, 1997, 1996, 19652, 2463, 2475, 1006, 8732, 5490, 2771, 1007, 3996, 3256, 3790, 1012, 1996, 2012, 25459, 3022, 3540, 10046, 2038, 11672, 1015, 1030, 1010, 1030, 3156, 1049, 1006, 1018, 1030, 1010, 1030, 7706, 3027, 1007, 2144, 1996, 2397, 3708, 2301, 1012, 2049, 3446, 1997, 7822, 2038, 3445, 2144, 3150, 1010, 2206, 1037, 2558, 1997, 4030, 7822, 2013, 3925, 2000, 3150, 1012, 1996, 21877, 22123, 2080, 10046, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.12946132151460885, 0.05781874143926682, 0.008445028460012815, 0.0006730024815884103, 0.10584665933851618, 0.0008335812150695629, 0.0000992399895108794, 0.00043480487335378096, 0.012625865635724962, 0.1368248643542351, 0.08684684430742114, 0.010525681420556375, 0.011628421994770563, 0.0007091777937300203, 0.09225710002868862, 0.00005398440813658447, 0.02426585483493002, 0.0004929144103146807, 0.0010996955239150456, 0.012478223318059317, 0.02333654422242199, 0.00026807797875326206, 0.0003074202075510637, 0.0000765212764205511, 0.000051198655561033166, 0.007433701118987019, 0.000008651406354175573, 0.010012710151336474, 0.0311464712460929, 0.00006366171511087687, 0.0009508884628043625, 8.808066074589443e-9, 0.000026081531758575324, 0.00013554666718150178, 0.060702134684798785, 0.009005497181346503, 0.00010859501860315008, 0.008352653010210234, 0.08000032935063192, 0.0000023599718595357394, 0.04552762265236823, 0.015732329653005393, 0.000018798699456431385, 0.001328294399615616, 1.5228199812632354e-7, 0.007995261489401386, 0.0015232765952998962, 0.00020465052936159136, 0.0019145032827566038, 0.00034505040847707683 ]
[ 7649, 4472, 2019, 2181, 1997, 2055, 2260, 2463, 2475, 1006, 1018, 1030, 1012, 1030, 1020, 5490, 2771, 1007, 1010, 1998, 11672, 5901, 2076, 1996, 2034, 2431, 1997, 1996, 3983, 2301, 1010, 27697, 2011, 3547, 1010, 1998, 7943, 28375, 1999, 3299, 1012, 102, 101, 1996, 5665, 8586, 10484, 4213, 3388, 10046, 1999, 2329, 3996, 1005, 1055, 10046, 2120, 2380, 1006, 2710, 1007, 1010, 2112, 1997, 1996, 7367, 23913, 4020, 1006, 2225, 1997, 1996, 22366, 1007, 2038, 11672, 1016, 2463, 1006, 1015, 1030, 1012, 1030, 1016, 2771, 1007, 2144, 2034, 16164, 1999, 6837, 1012, 102, 101, 1999, 11721, 3089, 28807, 4992, 2380, 1999, 8772, 2329, 3996, 2058, 28952, 2463, 2475, 1006, 17317, 5490, 2771, 1007, 1010, 2030, 2656, 1003, 1010, 1997, 1996, 2380, 1010, 2001, 3139, 2011, 10046, 3256, 2012, 1996, 2927, 1997, 1996, 4985, 2301, 1012, 3256, 3104, 10548, 2000, 27502, 2463, 2475, 1006, 10630, 5490, 2771, 1007, 2011, 3055, 1516, 2997, 1998, 2000, 21005, 2463, 2475, 1006, 5345, 5490, 2771, 1007, 2011, 2384, 1010, 2753, 1003, 1997, 1996, 7973, 2181, 1012, 1996, 2753, 2463, 2475, 1006, 2539, 5490, 2771, 1007, 3279, 1999, 1996, 2197, 2322, 2086, 19680, 2015, 2007, 4997, 3742, 5703, 1999, 1996, 2555, 1012, 2076, 2023, 2558, 2035, 3157, 21193, 8920, 2031, 11672, 6022, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 7397, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 2045, 2024, 5190, 1997, 21193, 1999, 7397, 2021, 2069, 2261, 2031, 2042, 2315, 1012, 1996, 3996, 10046, 2379, 11748, 24601, 1999, 3159, 2520, 2614, 2038, 11672, 2321, 2463, 1006, 1023, 1030, 1012, 1030, 1017, 2771, 1007, 1999, 1996, 2197, 2423, 2086, 1012, 2049, 10250, 7178, 3256, 4059, 2015, 6822, 3303, 1996, 4654, 22500, 11748, 24601, 3514, 14437, 1010, 2043, 1996, 20135, 2904, 2607, 2000, 4468, 1996, 3256, 10247, 1012, 1996, 11748, 24601, 10046, 2003, 1999, 1996, 2168, 2181, 1010, 1998, 2295, 2009, 2515, 2025, 10250, 3726, 1010, 2038, 2036, 11672, 6022, 1012, 1000, 1037, 2384, 9682, 5002, 1997, 7397, 2078, 5780, 21193, 4453, 2062, 2084, 1037, 6474, 21193, 1010, 2116, 2280, 10401, 5880, 1998, 11130, 2290, 21193, 1010, 2164, 2882, 9814, 1010, 25520, 5937, 1010, 4562, 1010, 1998, 24970, 20763, 2099, 21193, 2008, 2024, 5901, 17512, 1012, 1997, 1016, 1030, 1010, 1030, 2199, 21193, 5159, 1010, 5585, 1003, 2024, 17512, 1012, 1000, 13580, 3016, 1999, 7397, 2003, 7349, 2011, 2093, 2312, 21193, 1517, 3124, 4140, 1010, 8038, 11039, 3366, 1010, 1998, 5939, 8943, 3363, 21193, 1517, 2035, 1997, 2029, 2031, 5281, 1037, 3279, 1999, 3091, 1998, 14983, 1998, 1010, 8821, 1010, 1037, 3279, 1999, 2181, 1012, 5939, 8943, 3363, 10046, 2150, 5459, 2013, 1996, 17512, 3124, 4140, 10046, 1999, 1996, 4120, 1998, 2038, 11672, 2484, 2463, 1006, 2321, 2771, 1007, 2144, 1010, 14985, 2062, 2084, 3156, 1049, 1006, 1015, 1030, 1010, 1030, 5174, 3027, 1007, 2566, 2095, 1012, 102, 101, 1996, 2238, 4887, 3256, 3790, 2470, 2565, 2038, 17785, 13307, 21193, 1997, 1996, 2238, 4887, 3256, 3790, 2144, 3918, 1012, 2006, 1996, 2225, 2217, 1997, 1996, 3256, 2492, 1010, 1996, 7342, 1997, 1996, 2273, 4181, 9892, 10046, 1010, 2029, 6223, 2046, 9282, 2238, 4887, 1010, 7397, 1010, 2038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000020536234261229485, 0.06596572372722846, 0.014700852066308334, 0.0000012837799166045173, 0.00012932978423273262, 0.00003478897491210117, 0.01788996433015479, 0.00017534203171211507, 0.0002692453453477507, 0.004969166402327371, 0.026901579716597495, 0.00600211659663995, 0.00029732015782225565, 0.03136568971936246, 0.0001631225648182637, 0.00010927291266145292, 0.02448746733672477, 0.000009314305869577116, 0.03195656417221858, 0.0008472293611300343, 0.08218515426249444, 0.0109838203535806, 0.057493235489703164, 0.0002081399417037991, 0.0030294063429237225, 0.000013427233363625082, 0.00006982707808756133, 0.04833718876005554, 5.359441146466829e-7, 0.0000027585041413801654, 0.000647858845885942, 0.007040139367987171, 0.0003417979798767446, 0.0043778459823813915, 8.919974007196728e-9, 0.03465720593600696, 0.0010877340917955856, 0.07248215697989042, 0.00031771457466235576, 0.1028076031250446, 0.11498369016360974, 0.08790385582181165, 0.10800711940378487, 0.0014064040895959277, 0.03499836545414303, 0.0003134548548972175, 0.000003247368814696207, 0.000004051939328611298, 1.1266732770415078e-7, 2.290027665780512e-7 ]
[ 11672, 23712, 1049, 1006, 1015, 1030, 1010, 1030, 7706, 3027, 1007, 1012, 1997, 1996, 11977, 21193, 1997, 1996, 2238, 4887, 3256, 3790, 1010, 7763, 2024, 17512, 1010, 1998, 2028, 1010, 1996, 27006, 2226, 10046, 1010, 2003, 10787, 1012, 5408, 1997, 1996, 21193, 2031, 11672, 2062, 2084, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 5786, 2771, 1007, 2144, 3882, 1517, 14405, 3917, 10046, 1010, 1019, 1030, 1012, 1030, 1018, 2463, 1006, 1017, 1030, 1012, 1030, 1018, 2771, 1007, 1025, 13097, 14839, 10046, 1010, 1017, 1030, 1012, 1030, 1019, 2463, 1006, 1016, 1030, 1012, 1030, 1016, 2771, 1007, 1025, 15466, 10046, 1010, 1015, 1030, 1012, 1030, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 6273, 2771, 1007, 1998, 14380, 3636, 10046, 1010, 1015, 1030, 1012, 1030, 1019, 2463, 1006, 1014, 1030, 1012, 1030, 6109, 2771, 1007, 1012, 27006, 2226, 10046, 2038, 2042, 10787, 2144, 2012, 2560, 6193, 1010, 2043, 19176, 2198, 23110, 5159, 1037, 2312, 3256, 4059, 11130, 2290, 2392, 1012, 2011, 3882, 1996, 5516, 26158, 2018, 3561, 1999, 1010, 1998, 1996, 10046, 2053, 2936, 10250, 7178, 1998, 2001, 2583, 2000, 3613, 2049, 5083, 1012, 2011, 2384, 1996, 10046, 2001, 2069, 1015, 1030, 1012, 1030, 1019, 2463, 1006, 1014, 1030, 1012, 1030, 6109, 2771, 1007, 2013, 4285, 27006, 2226, 2391, 1998, 10851, 27006, 2226, 15824, 1012, 1996, 5083, 1997, 27006, 2226, 10046, 11398, 2459, 1049, 1006, 5179, 3027, 1007, 2566, 2095, 2090, 2997, 1998, 2384, 1012, 1996, 3742, 5703, 2001, 2200, 3893, 2005, 1996, 3918, 1516, 6070, 2558, 4762, 2075, 1996, 5083, 1025, 2174, 1010, 2144, 2997, 1996, 3742, 5703, 2038, 2042, 3621, 4997, 1010, 2029, 2323, 1999, 1996, 2925, 4030, 1996, 5083, 1997, 2023, 10478, 10046, 1012, 102, 101, 2146, 1030, 1011, 1030, 2744, 3742, 5703, 2636, 2013, 14380, 3636, 10046, 1999, 7397, 2265, 3621, 13993, 3742, 5703, 2007, 2051, 1012, 1996, 2812, 3296, 5703, 2005, 2023, 10046, 2001, 1597, 1014, 1030, 1012, 1030, 2603, 1049, 1006, 1014, 1030, 1012, 1030, 4293, 3027, 1007, 2169, 2095, 2076, 1996, 2558, 1997, 3890, 2000, 3299, 1012, 2812, 3296, 5703, 2038, 2042, 6233, 19762, 14985, 1597, 1015, 1030, 1012, 1030, 5840, 1049, 1006, 1017, 1030, 1012, 1030, 1018, 3027, 1007, 2566, 2095, 2013, 2901, 2000, 2384, 1012, 9377, 10046, 12456, 14428, 11129, 1010, 2030, 7998, 9854, 1010, 2005, 6163, 7397, 21193, 2424, 6165, 1997, 4857, 5582, 2031, 3445, 2011, 2062, 2084, 1037, 5387, 1997, 2048, 2043, 13599, 1996, 6993, 2013, 3925, 2000, 2786, 1006, 1014, 1030, 1012, 1030, 1021, 1049, 1006, 1016, 1030, 1012, 1030, 1017, 3027, 1007, 2566, 2095, 1007, 1998, 2786, 2000, 2541, 1006, 1015, 1030, 1012, 1030, 1022, 1049, 1006, 1019, 1030, 1012, 1030, 1023, 3027, 1007, 2566, 2095, 1007, 1012, 2023, 2003, 1037, 22575, 9874, 2007, 3279, 1999, 3742, 1041, 16211, 3436, 2000, 3279, 1999, 14983, 1010, 2029, 5260, 2000, 4852, 7822, 1517, 1996, 21193, 2024, 2025, 2069, 17512, 1010, 2021, 2027, 2024, 2036, 3352, 2172, 23082, 1012, 1999, 7939, 11475, 2120, 2380, 1010, 2035, 21193, 17785, 2024, 17512, 1010, 2007, 2019, 2779, 7822, 1997, 2322, 1049, 1006, 5764, 3027, 1007, 2566, 2095, 1012, 1996, 7342, 1997, 1996, 2000, 26086, 2102, 10046, 2038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0425693519511423, 0.0011246448735593674, 0.00022439281864558913, 0.000912035844699514, 0.04340759922867903, 0.00020633505367500626, 0.13558580259709754, 0.003945917328719794, 0.00002089650517084886, 1.0060741734496817e-8, 0.0008488215222358413, 0.12720809275563288, 0.0010567983851561297, 0.011112799605172374, 0.010116566549202266, 0.017772406598937945, 0.08839603759667401, 0.0002321467516125326, 0.0002695786495815136, 0.00033883240791273035, 0.053484906835352966, 0.00023723895362576767, 0.06863019198246509, 4.6404460187899545e-7, 0.0009712443882584709, 0.0002999467984121509, 0.003007691679902002, 0.02008165090266975, 0.004072237776957325, 0.00002614360627752572, 0.09081943019828272, 0.015053486384238124, 0.000042080036322221405, 0.019274318585691026, 0.03122251880106024, 0.0033611635573608527, 0.00015088052561570433, 0.0003907892828386054, 0.0035755530740961554, 0.009862191840192921, 0.00497695799082512, 0.039524643495443726, 0.016115076081563623, 0.006039466864526484, 0.0050042223695167904, 0.017159206227336337, 0.041230738808744415, 0.0003603627171962568, 0.005662415928586084, 0.054013713177790634 ]
[ 2042, 17512, 2656, 1049, 1006, 5594, 3027, 1007, 2566, 2095, 1998, 1996, 14163, 6392, 10524, 10046, 2038, 4857, 7228, 2322, 1049, 1006, 5764, 3027, 1007, 2144, 3245, 1012, 2092, 8832, 1999, 7397, 2024, 7505, 4726, 21193, 2008, 2031, 2042, 2124, 2000, 5901, 5083, 1010, 2130, 2004, 2172, 2004, 2531, 1049, 1006, 14210, 3027, 1007, 2566, 2154, 1012, 13075, 28872, 4383, 1010, 2304, 12775, 1010, 14163, 6392, 10524, 1010, 10514, 28032, 2532, 1998, 13619, 8743, 2024, 4973, 1997, 7505, 4726, 21193, 1999, 7397, 2008, 2031, 2081, 5915, 9849, 1999, 1996, 2627, 1012, 2122, 21193, 2024, 2035, 17512, 3452, 1010, 26136, 25638, 2011, 2460, 6993, 1997, 5083, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 1027, 18096, 1998, 7563, 2527, 3972, 11865, 20265, 1027, 1027, 1027, 1027, 102, 101, 102, 101, 1037, 2312, 2555, 1997, 2313, 4193, 1996, 2430, 1998, 2670, 18096, 1997, 5619, 1998, 7029, 13960, 1999, 17511, 2752, 2008, 2024, 7790, 2006, 2300, 6067, 2013, 13721, 21193, 1012, 1996, 2300, 2013, 1996, 21193, 2036, 6067, 5485, 2008, 2031, 1999, 2070, 3572, 2042, 5477, 7583, 2005, 18541, 2373, 1012, 2070, 6950, 2903, 2008, 2011, 18540, 2692, 1010, 2116, 1997, 1996, 2312, 3256, 9700, 2006, 1996, 3284, 18096, 2097, 2022, 2908, 2065, 2783, 4785, 12878, 3613, 1012, 1999, 6986, 23692, 6200, 2006, 1996, 2670, 5955, 1997, 1996, 9983, 1010, 1996, 2312, 3256, 9700, 2031, 11672, 1037, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 5786, 2771, 1007, 2144, 1996, 2220, 4134, 1998, 2184, 2463, 1006, 1020, 1030, 1012, 1030, 1016, 2771, 1007, 2144, 1996, 2397, 3708, 2301, 1012, 2009, 2038, 2036, 2042, 5159, 2008, 6986, 23692, 11148, 21193, 2024, 28667, 17819, 2012, 1037, 5514, 3446, 2084, 1999, 2151, 2060, 2088, 2555, 1012, 1996, 2642, 6986, 23692, 11148, 3256, 2492, 2439, 6109, 2463, 2475, 1006, 4029, 5490, 2771, 1007, 1997, 10046, 2181, 2076, 1996, 2086, 2090, 3386, 1998, 3339, 1010, 1998, 19492, 2463, 2475, 1006, 6163, 5490, 2771, 1007, 2013, 3339, 2000, 2727, 1010, 2029, 7127, 2008, 1996, 3446, 1997, 7822, 2003, 4852, 1012, 2023, 5836, 1037, 3279, 1997, 1022, 1003, 1997, 1996, 3256, 2492, 1010, 2007, 2035, 21193, 13417, 3278, 7822, 1012, 1996, 2670, 6986, 23692, 11148, 3256, 2492, 2038, 8176, 1037, 2236, 9874, 1997, 7822, 2006, 4413, 21193, 1010, 2096, 2176, 21193, 2020, 1999, 14442, 1998, 2048, 3935, 2076, 1996, 2086, 2090, 3646, 1998, 3069, 1012, 1996, 2922, 7822, 2001, 2006, 1051, 1005, 13466, 10046, 1010, 2029, 2076, 1996, 2558, 6306, 1516, 2786, 11672, 2403, 1030, 1012, 1030, 1020, 2463, 1006, 1023, 1030, 1012, 1030, 1015, 2771, 1007, 1012, 1996, 2566, 9956, 17921, 10046, 2003, 2382, 2463, 1006, 2539, 2771, 1007, 2146, 1998, 2003, 1037, 2350, 2041, 12314, 10046, 1997, 1996, 6986, 23692, 11148, 3256, 7123, 1010, 2004, 2092, 2004, 1996, 2087, 4716, 10046, 1999, 6986, 23692, 6200, 1012, 2566, 9956, 17921, 10046, 2003, 1999, 14442, 1010, 2021, 2038, 17215, 6976, 9808, 6895, 20382, 2015, 1999, 1996, 2558, 4006, 1516, 5986, 1010, 2007, 1037, 5658, 5114, 1997, 1018, 1030, 1012, 1030, 1015, 2463, 1006, 1016, 1030, 1012, 1030, 1019, 2771, 1007, 1012, 2023, 10046, 2038, 3935, 2144, 4006, 1010, 1998, 2038, 2042, 7687, 6540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.020394498066654596, 0.03538906728425014, 0.00013886768904951028, 0.004545358847207632, 0.08480796410514954, 0.10252379856618411, 0.08045907483078003, 0.0040124647488501775, 0.004717919786074697, 0.0038292184093933817, 0.0002694452678183535, 0.00832400566571312, 0.0012303344436305603, 0.08062653945829913, 0.012432395347842348, 0.004586359818456625, 0.000024668051943544892, 0.04585254870653036, 0.0002619769525299537, 0.11177058159325794, 0.009713151465212677, 0.00008861812612192058, 0.05175567637704862, 0.006050704439772197, 0.01578270872598248, 0.0000032169593765772253, 0.0004428272335904841, 0.007662022344672045, 0.00003337088736288749, 0.0031957509826780013, 0.0029912024215629205, 0.00001225983763540177, 0.0007123205734547665, 0.01723797827954439, 0.09521028050154454, 0.0000032254571938982423, 0.004470479815948394, 0.0003214018049247477, 0.05710817577112111, 0.00027404153166087655, 0.00003131838583766407, 0.0031011562574337604, 0.0014554904679876348, 0.0004799458440332324, 0.025426627232752155, 0.0007240407475020617, 0.06760995381721253, 0.02134763932616149, 0.0000944829490463966, 0.00046284379600849734 ]
[ 2144, 2826, 1012, 2566, 9956, 17921, 10046, 2003, 2028, 1997, 2093, 21193, 1999, 6986, 23692, 6200, 2124, 2000, 2031, 3935, 1010, 4102, 2000, 2195, 3634, 2500, 1999, 7822, 1012, 1996, 2048, 2350, 21193, 1997, 1996, 2670, 6986, 23692, 6200, 3256, 3790, 2000, 1996, 2167, 1997, 17921, 1010, 11139, 7911, 1998, 20098, 22117, 2050, 10046, 2031, 11672, 1018, 1030, 1012, 1030, 1020, 2463, 1006, 1016, 1030, 1012, 1030, 1023, 2771, 1007, 1999, 2538, 2086, 1998, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 5786, 2771, 1007, 1999, 2410, 2086, 4414, 1012, 1999, 1996, 9353, 2239, 3540, 19696, 2314, 6403, 1010, 10046, 7822, 2038, 4504, 1999, 1037, 2322, 1003, 3279, 1999, 10046, 2181, 1010, 13993, 2013, 16528, 2463, 2475, 1006, 5388, 5490, 2771, 1007, 2000, 12606, 2463, 2475, 1006, 4700, 5490, 2771, 1007, 1012, 1996, 3884, 6894, 10046, 1999, 7563, 2527, 3972, 11865, 20265, 2038, 2042, 1999, 7822, 2144, 2012, 2560, 3624, 2083, 2263, 1012, 102, 101, 102, 101, 1027, 1027, 5133, 21193, 1027, 1027, 102, 101, 102, 101, 5133, 21193, 2024, 2284, 2090, 1996, 19817, 7361, 2594, 1997, 4456, 1998, 1996, 19817, 7361, 2594, 1997, 6178, 7277, 9691, 1010, 1999, 1996, 2555, 2008, 3658, 2603, 1080, 2656, 1531, 2570, 1532, 2167, 2030, 2148, 1997, 1996, 26640, 1012, 9975, 1010, 1037, 5133, 10046, 2003, 2284, 2306, 1996, 13674, 19817, 7361, 6558, 1025, 1996, 2181, 2073, 1996, 3296, 4860, 8386, 2003, 2625, 2084, 1996, 3679, 8386, 1010, 1998, 2003, 2306, 1996, 9808, 6895, 20382, 2181, 1997, 1996, 6970, 25528, 19143, 4224, 1012, 102, 101, 5133, 21193, 2024, 1996, 2087, 13191, 1997, 2035, 21193, 2005, 1037, 3528, 1997, 4436, 1012, 15847, 1010, 1996, 4655, 2024, 1996, 4010, 4355, 2112, 1997, 1996, 4774, 1012, 16378, 1010, 1996, 12348, 2689, 2003, 10124, 2007, 7715, 4010, 2095, 2461, 1010, 4525, 1999, 1037, 3768, 1997, 1037, 21399, 3467, 2161, 1999, 2029, 4586, 1998, 3256, 2064, 27598, 1012, 2353, 2135, 1010, 2261, 12283, 4020, 4839, 1999, 2122, 4655, 2588, 2029, 2438, 3147, 2250, 6526, 2005, 1996, 5069, 1997, 21193, 1012, 3452, 1010, 5133, 21193, 2024, 3760, 2084, 2216, 2179, 6974, 1998, 2024, 1996, 2087, 3497, 21193, 2000, 2265, 5915, 3433, 2000, 5278, 4785, 7060, 1012, 1037, 2235, 4860, 3623, 1997, 2069, 1037, 2261, 5445, 2064, 2031, 2471, 6234, 1998, 15316, 3466, 2006, 5133, 21193, 1012, 102, 101, 2379, 1996, 26640, 1010, 3256, 2003, 2145, 2179, 1999, 2264, 3088, 1010, 1996, 18096, 1997, 2148, 2637, 1998, 2047, 7102, 1012, 1996, 7822, 1997, 21333, 21193, 2038, 2042, 8832, 3081, 7341, 1998, 7008, 5266, 1996, 2558, 2013, 1996, 2397, 19878, 2000, 3053, 1996, 2556, 1012, 5585, 1030, 1012, 1030, 4185, 1003, 1997, 5133, 21193, 2024, 1999, 1998, 11219, 4020, 1997, 2148, 2637, 1010, 1014, 1030, 1012, 1030, 2423, 1003, 2006, 1996, 3060, 21193, 1997, 1054, 12449, 6844, 3089, 1010, 4057, 7938, 1998, 11382, 17960, 2319, 16084, 2080, 1010, 1998, 1014, 1030, 1012, 1030, 2340, 1003, 1999, 1996, 20868, 2937, 24120, 2555, 1999, 2047, 7102, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3088, 1027, 1027, 1027, 102, 101, 102, 101, 2471, 1996, 15700, 1997, 3088, 2003, 2284, 2306, 5133, 1998, 11935, 4785, 10019, 1012, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0005232723364124611, 0.0005557371131397705, 0.0020288300496967048, 0.00001150804248957483, 0.00014424119010781838, 0.00012717394075165345, 0.00046229027124663623, 0.014015199415442367, 0.026379158824094872, 0.05088943162732424, 0.03775022174540415, 0.03371360191030678, 0.000016271966678228544, 0.00007035559821109284, 0.003686866725928574, 0.010826403731150798, 0.00009665298455404366, 0.000008231248200041535, 0.08875544468618145, 0.020858761365010664, 0.0002492927201764907, 0.04219865593675008, 0.008229353898958043, 0.00148243326360398, 0.00001694214562385545, 0.05703779631831401, 0.005196213693645855, 0.07295458673898254, 0.00042410007147118504, 0.00031075820116642847, 0.07908053834548083, 0.012085387639397878, 0.00008958377866054652, 0.028483502070721464, 0.0002990118518500848, 0.0749644696082783, 0.011027451407034105, 0.00034578483237409003, 0.000018517810242571494, 0.06875715012214231, 0.0008045356624277684, 0.056936596850441, 0.00014843142116363918, 0.028170909864563776, 0.02373750567704311, 0.01637073237087882, 0.08263282061018448, 0.03702513556666103, 0.000002138078313084034, 8.671116683822931e-9 ]
[ 21193, 2024, 2179, 2069, 1999, 2048, 7275, 8483, 1998, 1996, 21766, 12449, 6844, 3089, 2846, 1012, 11382, 17960, 2319, 16084, 2080, 1010, 2012, 1019, 1030, 1010, 1030, 6486, 2629, 1049, 1006, 2539, 1030, 1010, 1030, 28358, 3027, 1007, 1010, 2003, 1996, 3284, 4672, 2006, 1996, 9983, 1012, 2144, 4878, 1996, 10046, 3104, 2006, 1996, 6465, 1997, 11382, 17960, 2319, 16084, 2080, 2038, 4593, 11672, 4293, 1003, 1010, 1998, 1996, 3872, 1997, 17381, 3256, 2003, 2085, 3770, 1003, 2625, 2084, 2009, 2001, 1037, 2301, 3283, 2349, 2000, 2119, 7822, 1998, 4857, 5582, 1012, 1999, 1996, 2403, 1030, 1011, 1030, 2095, 2558, 2013, 3118, 2000, 2687, 1010, 2028, 2930, 1997, 1996, 10046, 10234, 1996, 3137, 28667, 19082, 3998, 1049, 1006, 25195, 3027, 1007, 1012, 1037, 2526, 2817, 4340, 2008, 2065, 2783, 3785, 3613, 1010, 1996, 21193, 10234, 11382, 17960, 2319, 16084, 2080, 2097, 10436, 8811, 2090, 2325, 1998, 12609, 1012, 1037, 2233, 2384, 3189, 5393, 2008, 2045, 2003, 2471, 2053, 3588, 17381, 3256, 2006, 1996, 3137, 1010, 1998, 2009, 2003, 1996, 2034, 2051, 1999, 2340, 1030, 1010, 1030, 2199, 2086, 2008, 20225, 2598, 2038, 2042, 6086, 2006, 8810, 1997, 1996, 6465, 1012, 6950, 2988, 11382, 17960, 2319, 16084, 2080, 1005, 1055, 10046, 7822, 2001, 2349, 2000, 1037, 5257, 1997, 3445, 4942, 17960, 3370, 1998, 10548, 4586, 2991, 1012, 102, 101, 1996, 6519, 2102, 16600, 3917, 10046, 2003, 2284, 2379, 1996, 6465, 1997, 11382, 17960, 2319, 16084, 2080, 1012, 2090, 3299, 1998, 2456, 1010, 1996, 2181, 1997, 6519, 2102, 16600, 3917, 10046, 2001, 3013, 2471, 1999, 2431, 1010, 2013, 12104, 1030, 1010, 1030, 2199, 25525, 1006, 1015, 1030, 1010, 1030, 10545, 1030, 1010, 1030, 2199, 5490, 3027, 1007, 2000, 3438, 1030, 1010, 1030, 2199, 25525, 1006, 13757, 1030, 1010, 1030, 2199, 5490, 3027, 1007, 1012, 2076, 2492, 6198, 4146, 2220, 1999, 2294, 1010, 6529, 3603, 1037, 2312, 4920, 2379, 1996, 2415, 1997, 1996, 10046, 1012, 2023, 4920, 1010, 8402, 2083, 1996, 1020, 1049, 1006, 2322, 3027, 1007, 3588, 14983, 1997, 1996, 10046, 2000, 1996, 10318, 2600, 1010, 2001, 3517, 2000, 4982, 1998, 3975, 1996, 10046, 1999, 2048, 2011, 2289, 1012, 102, 101, 2000, 1996, 2167, 1997, 11382, 17960, 2319, 16084, 2080, 3658, 4057, 7938, 1010, 2029, 2012, 1019, 1030, 1010, 1030, 20713, 1049, 1006, 2459, 1030, 1010, 1030, 5709, 2581, 3027, 1007, 2003, 1996, 2117, 13747, 3137, 2006, 1996, 9983, 1012, 4057, 7938, 2038, 1037, 2193, 1997, 2235, 21193, 2008, 2031, 2439, 2012, 2560, 3429, 1003, 1997, 2037, 3742, 2144, 1996, 2690, 1997, 1996, 3983, 2301, 1012, 2429, 2000, 2470, 9227, 2011, 1996, 1057, 1012, 1055, 1012, 9843, 5002, 1006, 2149, 5620, 1007, 1010, 2045, 2020, 7763, 21193, 10234, 4057, 7938, 1999, 5141, 1010, 1998, 2011, 3069, 2069, 5408, 2815, 1012, 1996, 2561, 2181, 3139, 2011, 21193, 2001, 1015, 1030, 1012, 1030, 1020, 2463, 2475, 1006, 1014, 1030, 1012, 1030, 5786, 5490, 2771, 1007, 1999, 5141, 1010, 2174, 2011, 1996, 2095, 2456, 2069, 2055, 2423, 1003, 1010, 2030, 1014, 1030, 1012, 1030, 1018, 2463, 2475, 1006, 1014, 1030, 1012, 1030, 2321, 5490, 2771, 1007, 2815, 1012, 2000, 1996, 2225, 1997, 19363, 11382, 17960, 2319, 16084 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.000007012151502996582, 0.0001365167786498891, 1.4371326574964596e-7, 0.00006628441662591403, 0.00016020697807358803, 0.001255136530253732, 0.000015731763019051373, 0.00048704823269804184, 0.01827231742093947, 0.0011170280158691332, 0.010073410864813063, 0.0008204079346519092, 0.0695993651798972, 0.06446086969688868, 0.07744118268079127, 0.013744064680743778, 0.0010477944542271384, 0.040874888896053285, 0.0002457561958517056, 0.052681693474148736, 9.597859293464248e-9, 0.016817545219127726, 0.0008400149874748144, 0.000016235058199555648, 0.006723309406409687, 0.00018328118864093546, 0.00038015827657008515, 0.07411057370289062, 0.00019250709502040966, 0.00008266468087547645, 0.000023110820066335728, 0.0006959286952381053, 0.07218939029474798, 0.003009915719898529, 0.001120852874925277, 0.05851824350578404, 0.052792033541891756, 0.007017689989031219, 0.00011614422787284537, 0.02168099943919844, 0.0039850644329137075, 0.0018882035906018645, 4.533446361051652e-8, 0.0036849166870596816, 0.00005635117985316517, 0.06314979953205836, 0.1508755745557209, 0.05011020940597336, 0.000013814939670550755, 0.05721855196099717 ]
[ 2080, 1998, 7938, 1010, 1996, 21766, 12449, 6844, 3089, 2846, 9466, 2000, 1019, 1030, 1010, 1030, 11518, 1049, 1006, 2385, 1030, 1010, 1030, 6146, 2475, 3027, 1007, 1012, 12416, 3350, 7127, 1037, 4417, 7312, 1999, 17381, 2135, 3139, 2752, 2058, 1996, 2627, 2301, 1012, 1999, 1996, 3486, 1030, 1011, 1030, 2095, 2558, 2090, 3982, 1998, 2901, 1010, 21193, 2006, 1996, 1054, 12449, 6844, 3089, 4020, 28667, 19082, 2055, 2871, 1003, 1012, 2009, 2003, 3517, 2008, 2349, 2000, 2037, 10039, 2000, 1996, 3082, 14098, 1997, 1996, 9030, 2555, 1010, 1996, 21193, 1999, 1996, 21766, 12449, 6844, 3089, 2846, 2089, 28667, 14728, 2012, 1037, 12430, 3446, 2084, 2216, 2006, 11382, 17960, 2319, 16084, 2080, 2030, 1999, 7938, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2148, 2637, 1027, 1027, 1027, 102, 101, 102, 101, 1037, 2817, 2011, 1043, 2721, 9793, 18738, 1997, 2048, 2235, 21193, 1999, 2148, 2637, 7657, 2178, 7822, 1012, 2062, 2084, 3770, 1003, 1997, 2035, 17381, 3256, 1999, 1996, 2642, 18096, 2003, 8279, 2006, 1996, 3284, 11373, 1999, 2235, 8575, 1997, 3155, 1015, 2463, 2475, 1006, 1014, 1030, 1012, 1030, 4464, 5490, 2771, 1007, 1999, 2946, 1012, 1037, 2826, 2000, 2687, 8089, 1997, 1996, 15775, 9289, 2696, 3148, 10046, 1999, 11645, 1998, 3424, 13471, 2050, 10046, 1999, 10378, 5769, 2008, 2090, 1014, 1030, 1012, 1030, 1020, 1049, 1006, 1016, 1030, 1012, 1030, 1014, 3027, 1007, 1998, 1015, 1030, 1012, 1030, 1023, 1049, 1006, 1020, 1030, 1012, 1030, 1016, 3027, 1007, 1997, 3256, 2001, 2439, 2566, 2095, 2006, 2169, 10046, 1012, 4481, 2005, 15775, 9289, 2696, 3148, 2265, 1037, 3279, 1997, 6163, 1003, 1997, 2049, 3872, 1998, 2871, 1003, 1997, 2049, 14983, 2058, 1996, 2168, 2558, 1012, 15775, 9289, 2696, 3148, 10046, 2038, 2439, 3938, 1003, 1997, 2049, 3742, 2144, 3878, 1998, 2003, 3517, 2000, 10436, 10462, 8811, 2090, 2230, 1998, 2325, 1012, 3424, 13471, 2050, 2003, 2036, 2988, 2000, 2031, 2439, 2871, 1003, 1997, 2049, 3302, 2181, 2090, 3245, 1998, 2289, 1012, 2470, 2036, 7127, 2008, 2144, 1996, 3054, 1030, 1011, 1030, 3865, 1010, 1996, 3446, 1997, 7822, 2005, 2119, 1997, 2122, 21193, 2038, 2042, 4852, 1012, 1999, 7379, 1010, 1996, 21193, 10234, 11265, 3567, 3527, 3972, 18773, 2031, 2439, 2062, 2084, 2431, 2037, 2181, 1999, 1996, 2197, 2871, 2086, 1012, 2582, 2148, 1999, 7304, 1010, 1996, 18096, 2024, 2012, 1037, 3020, 7998, 3452, 1010, 1998, 2045, 2024, 3155, 5824, 2475, 21193, 5266, 2019, 2181, 1997, 5824, 2509, 2463, 2475, 1006, 25745, 5490, 2771, 1007, 1012, 102, 101, 2470, 1999, 1996, 2555, 2038, 2042, 2625, 4866, 2021, 7127, 2019, 3452, 28667, 4179, 1997, 1021, 1003, 2090, 3355, 1998, 3172, 1012, 1996, 10861, 15472, 3540, 3148, 3256, 6178, 2003, 1996, 2922, 5133, 3256, 17695, 1999, 1996, 2088, 1010, 1998, 2035, 1997, 1996, 13307, 21193, 2013, 1996, 3256, 17695, 2024, 17512, 1012, 1999, 1996, 2553, 1997, 1053, 10050, 19924, 2015, 10046, 1010, 2029, 2003, 2028, 1997, 10861, 15472, 3540, 16303, 1005, 13307, 21193, 1010, 1996, 3446, 1997, 7822, 2018, 2584, 14168, 1049, 1006, 2753, 2683, 3027, 1007, 2566, 2095, 2076, 1996, 2093, 1030, 1011, 1030, 2095, 2558, 1997, 2786, 2000, 2687, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.012873612815845325, 0.09289471827367772, 5.474943347329696e-7, 0.024791007571804802, 0.04304741610722583, 0.0733857300424579, 0.052503695062665896, 0.019562070866239952, 0.00006249697645490217, 0.0017307592928440733, 0.00910887443423881, 0.0032740016829396457, 0.0049859727959171915, 0.03760639585334323, 0.003972427870220107, 0.07128960908942512, 0.00007508785795144735, 0.00009897870024268308, 0.00017830867664305814, 0.03757357873392284, 0.05788240839775418, 0.0000032390606240465647, 0.06133099422774388, 0.027607424312471665, 0.0025192644845256156, 0.00004651974078992262, 0.01886044027136804, 0.02811078558316063, 0.004764313578861092, 0.048736880607075254, 0.0027626499797306944, 0.09951381225653316, 0.0000033050161302098244, 0.000037789501164702125, 0.0346638632697209, 0.0010954332902776114, 0.0000013371000946758158, 0.0000943718582580027, 0.0004337123468427843, 0.00037322041095553225, 0.027268832516670824, 0.004903470807212381, 0.011589384960291181, 0.00003886709737361009, 0.00007431947575836092, 0.00553899923259176, 0.010506496246908569, 0.012042473588803575, 0.038573706584175534, 0.011606393997736353 ]
[ 13721, 3256, 2038, 2719, 1037, 2312, 2697, 2012, 1996, 2392, 1997, 1996, 10046, 2144, 3172, 1010, 1998, 6436, 2598, 2038, 2042, 6086, 2005, 1996, 2034, 2051, 1999, 5190, 1997, 2086, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 20526, 1027, 1027, 1027, 102, 101, 102, 101, 5553, 3765, 25808, 2480, 1005, 1055, 29056, 3189, 1997, 21193, 5266, 1996, 21333, 4020, 1997, 2047, 7102, 2001, 2761, 2777, 2007, 9436, 2594, 9307, 1010, 2021, 1999, 1996, 2220, 3983, 2301, 2012, 2560, 2274, 4942, 24388, 2229, 1997, 1996, 15158, 3489, 4020, 1006, 3574, 1000, 20981, 4020, 1000, 1007, 2020, 5262, 2145, 2179, 2000, 2022, 3139, 2007, 2312, 3256, 9700, 1012, 2349, 2000, 1996, 3295, 1997, 1996, 2479, 2306, 1996, 5133, 4224, 1010, 2045, 2003, 2210, 2000, 2053, 12348, 8386, 1999, 4860, 1012, 1996, 5133, 3295, 2038, 1037, 16014, 8231, 6706, 2504, 1997, 4542, 1998, 26043, 1010, 2004, 2092, 2004, 6112, 3104, 2095, 2461, 1010, 1998, 2045, 2038, 2042, 2053, 17725, 2689, 1999, 1996, 3815, 1997, 14098, 2029, 2038, 5357, 2076, 1996, 3983, 2301, 1012, 102, 101, 1999, 5124, 1010, 1018, 1030, 1010, 1030, 13274, 1049, 1006, 2403, 1030, 1010, 1030, 29359, 3027, 1007, 2152, 26927, 3619, 21863, 28730, 11373, 1006, 2085, 26136, 3540, 2243, 8038, 10020, 1007, 2001, 2315, 1998, 2988, 2000, 2031, 1000, 10721, 1000, 4586, 1010, 2021, 2023, 8089, 2001, 2196, 5567, 1012, 1996, 3256, 6178, 1997, 1018, 1030, 1010, 1030, 22857, 1049, 1006, 2321, 1030, 1010, 1030, 22288, 3027, 1007, 9070, 3981, 11373, 1010, 2029, 2584, 2917, 1018, 1030, 1010, 1030, 4278, 1049, 1006, 2403, 1030, 1010, 1030, 4278, 3027, 1007, 1999, 5556, 1010, 9955, 2090, 3912, 1998, 3699, 1012, 1996, 24373, 2050, 1013, 24157, 3256, 6178, 5419, 1999, 1996, 4134, 1012, 1998, 1996, 8909, 12059, 10046, 2006, 12835, 3654, 14255, 17960, 28032, 9550, 2039, 1999, 2494, 1012, 2023, 3727, 2069, 1996, 11270, 1997, 1996, 2320, 7142, 3256, 17695, 2006, 2047, 7102, 1005, 1055, 3284, 3137, 1010, 4057, 3765, 25808, 2480, 2007, 1996, 1018, 1030, 1010, 1030, 6070, 2549, 1049, 1006, 2385, 1030, 1010, 1030, 6185, 2549, 3027, 1007, 2152, 26136, 3540, 2243, 24120, 6465, 1010, 2029, 2003, 4358, 2000, 2031, 2018, 2019, 2181, 1997, 2322, 2463, 2475, 1006, 1021, 1030, 1012, 1030, 1021, 5490, 2771, 1007, 1999, 7973, 1012, 102, 101, 2005, 2023, 3137, 2045, 2003, 12416, 3350, 1997, 5294, 17381, 7822, 2144, 1996, 2555, 2001, 2034, 8077, 10641, 2011, 13297, 1999, 4266, 1999, 7547, 2005, 1996, 4672, 1005, 1055, 2034, 16354, 1006, 2156, 1041, 1012, 1043, 1012, 1031, 1015, 1033, 1007, 1012, 2090, 2059, 1998, 2230, 1010, 1996, 3137, 2439, 3770, 3867, 1997, 2049, 3256, 1517, 2048, 1030, 1011, 1030, 12263, 1997, 2029, 2144, 2178, 4045, 5590, 1999, 1996, 3955, 1012, 2008, 2470, 2090, 3381, 1998, 3299, 3662, 10046, 7822, 2005, 1996, 8210, 2078, 10046, 1997, 3263, 1049, 1006, 20982, 3027, 1007, 2096, 1996, 3765, 25808, 2480, 10046, 2439, 2753, 1049, 1006, 8148, 3027, 1007, 1012, 1996, 2167, 9628, 21554, 2078, 1010, 1996, 2922, 19614, 1997, 1996, 3256, 17695, 2008, 2320, 2001, 10234, 26136, 3540, 2243, 24120, 1010, 2038, 2993, 3975, 2046, 2048, 3584, 21193, 2044, 3758, 1012, 20912, 17175 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0009641556298579805, 0.0011278535891112132, 0.0000054767429075609775, 0.07983274331548237, 0.004832951489509621, 0.047348645951960214, 0.0560383382002668, 8.905088233841472e-9, 0.04985454167929059, 0.19905853515282576, 0.002774717662729756, 8.905088233841472e-9, 0.0022039880084844966, 0.004939955762814882, 0.09414638188430229, 0.001580039224885649, 0.020339000997896754, 0.014129273568722752, 8.905088233841472e-9, 0.011997811316327621, 0.0023898914150627384, 0.062133382657387465, 0.016484181848659733, 0.018325631000042128, 0.00467157796842225, 0.000003809616415708685, 0.0037301999945420885, 0.0554032751821772, 0.000054681171899679286, 0.03340249481368443, 0.000517052146377982, 0.04884377046240336, 0.010071462948063143, 0.000041391081141738975, 0.0002696880386302662, 0.018884344837569504, 0.13298721696317672, 0.00006234610579491341, 0.0000025606344002241566, 0.000005415338855422054, 6.490690713738476e-7, 0.0000055283996420399745, 0.00014345023689875925, 8.907731974084393e-9, 0.00018093464980393362, 1.6149517481365273e-7, 0.00012646476438500694, 8.905088233841472e-9, 8.905088801674167e-9, 0.00008397354976734159 ]
[ 2015, 5871, 13425, 1997, 1996, 2047, 7102, 2078, 21193, 5393, 2008, 2011, 2526, 2069, 1016, 1030, 1012, 1030, 1015, 2463, 2475, 1006, 1014, 1030, 1012, 1030, 6282, 5490, 2771, 1007, 17381, 2181, 2815, 1010, 2008, 1999, 1996, 2048, 2086, 2013, 2456, 2000, 2526, 1010, 1996, 2264, 2167, 9628, 21554, 2078, 2018, 2439, 1018, 1030, 1012, 1030, 1019, 1003, 1010, 1996, 2225, 2167, 9628, 21554, 2078, 2539, 1030, 1012, 1030, 1018, 1003, 1998, 1996, 3765, 25808, 2480, 1020, 1030, 1012, 1030, 1022, 1003, 1997, 2037, 17381, 3742, 1010, 1998, 2008, 8811, 2090, 2807, 1998, 2456, 1010, 1996, 8210, 2078, 10046, 2018, 5419, 10462, 1012, 2019, 5590, 2000, 1996, 3588, 21193, 2006, 26136, 3540, 2243, 24120, 1999, 2230, 3603, 2008, 1996, 3256, 2006, 1996, 21193, 2045, 2003, 2055, 3590, 3620, 1006, 8746, 3027, 1007, 4317, 1998, 4857, 5582, 2012, 1037, 3446, 1997, 1021, 3620, 1006, 2603, 3027, 1007, 6604, 1012, 2012, 2008, 3446, 1010, 1996, 3588, 21193, 2024, 3517, 2000, 2197, 2069, 2000, 1996, 2095, 2325, 1012, 102, 101, 102, 101, 1027, 1027, 11508, 4655, 1027, 1027, 102, 101, 102, 101, 2750, 2037, 10039, 1998, 5197, 2000, 2529, 7080, 1010, 1996, 3137, 1998, 3028, 21193, 1997, 5133, 1998, 3054, 1030, 1011, 1030, 15250, 21193, 3815, 2000, 2069, 1037, 2235, 12884, 1997, 17381, 3256, 2006, 1996, 3011, 1012, 2055, 5585, 3867, 1997, 2035, 12573, 3256, 2003, 1999, 1996, 2307, 3256, 8697, 1997, 11508, 1998, 4942, 18155, 2906, 12615, 1998, 16128, 1012, 2122, 7142, 6803, 1030, 1011, 1030, 4094, 3256, 8697, 1010, 1017, 2463, 1006, 1015, 1030, 1012, 1030, 1023, 2771, 1007, 2030, 2062, 1999, 14983, 1010, 6178, 2172, 1997, 1996, 11508, 1998, 4942, 18155, 2906, 2455, 11678, 1012, 2066, 5485, 8577, 2013, 2019, 8216, 2697, 1010, 3365, 13307, 21193, 3665, 3256, 2013, 1996, 17034, 1997, 1996, 3256, 7123, 2000, 1996, 4153, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10399, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2642, 4448, 2479, 3842, 1997, 10399, 2003, 2188, 2000, 12436, 2102, 2532, 5558, 5283, 3363, 1010, 2029, 2003, 1996, 2922, 3256, 6178, 1999, 2885, 1012, 1996, 7987, 7416, 29668, 14074, 8024, 3126, 5558, 5283, 3363, 10046, 2003, 2028, 1997, 12436, 2102, 2532, 5558, 5283, 3363, 1005, 1055, 13307, 21193, 1010, 1998, 28667, 19082, 2011, 2004, 2172, 2004, 1016, 2463, 1006, 1015, 1030, 1012, 1030, 1016, 2771, 1007, 2090, 3381, 1998, 2432, 1012, 1999, 1996, 2220, 3983, 2301, 1010, 7987, 7416, 29668, 14074, 8024, 3126, 5558, 5283, 3363, 3668, 2000, 2306, 5539, 1049, 1006, 26667, 3027, 1007, 1997, 1996, 4153, 1010, 2021, 2011, 2432, 2049, 7342, 2018, 11672, 1017, 2463, 1006, 1015, 1030, 1012, 1030, 1023, 2771, 1007, 2582, 9514, 1012, 2023, 10046, 7822, 6086, 1037, 5901, 9186, 15825, 1010, 8183, 5283, 4877, 2906, 7811, 1010, 2029, 2003, 3561, 2007, 3256, 4059, 2015, 10250, 7178, 2013, 2049, 2392, 1012, 8183, 5283, 4877, 2906, 7811, 2003, 7287, 1049, 1006, 9475, 3027, 1007, 2784, 1998, 3053, 11515, 2049, 2946, 2090, 2807, 1998, 2432, 1012, 3742, 1030, 1011, 1030, 5703, 11702, 1997, 10399, 1005, 1055, 21193, 2265, 15122, 3893, 1998, 4997, 3742, 5703, 1997, 21193, 2076, 1996, 2558, 3055, 1516, 5345 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 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 ]
[ 0.03719964612044953, 0.0007657686434763709, 0.005629804284837415, 0.0002997533593677578, 0.00012743174519738067, 0.0001326955619981363, 0.011042405965312151, 0.00014104074567211766, 9.307031043137719e-9, 0.03744635622129837, 0.03831744913233697, 0.0009155765327453389, 0.07593295990248082, 0.0002624957556298645, 0.013828725611427123, 0.11707780316842689, 0.0002493237415925141, 0.0000031627716851001037, 0.0004100805059801926, 4.922524477632376e-7, 0.05291691746962683, 0.0068145185764463875, 0.05466361626048732, 0.00033679930231144377, 0.025059098043132225, 0.000020870437067352296, 0.00003657007207752053, 0.0767838557301967, 0.0668895653158436, 0.08143904874194381, 0.0003183377981114686, 0.001015756881916554, 0.1296360428163949, 0.004663645831362668, 0.000004636410333273277, 9.307031043137719e-9, 0.0911498168728108, 0.001976772673802562, 0.00018467476007805975, 0.004096934539865256, 9.307031043137719e-9, 0.00022052324835105465, 0.00019480914707489924, 0.0184364734634217, 0.03547766938563803, 0.0004934907861570763, 4.928182193970023e-7, 2.244927145768897e-7, 0.005683633160115631, 0.0017022050210439802 ]
[ 1010, 2021, 1996, 3742, 5703, 2038, 2042, 9197, 4997, 2144, 1012, 2006, 7570, 10343, 5558, 5283, 3363, 3256, 6178, 1010, 3742, 5703, 2038, 2042, 4997, 2169, 2095, 2013, 2786, 1516, 2384, 1012, 102, 101, 2087, 1997, 1996, 14024, 21193, 11672, 5901, 2076, 1996, 4010, 5109, 2013, 4479, 2000, 3624, 1010, 18068, 2091, 2004, 1996, 4785, 12981, 2076, 1996, 2206, 5476, 1010, 1998, 2318, 2000, 5083, 2044, 3359, 1012, 1996, 3446, 1997, 5083, 6601, 1999, 1996, 3865, 1010, 2044, 2029, 2009, 9784, 2091, 2127, 2055, 2901, 1012, 2004, 1037, 9509, 1997, 5915, 12959, 1997, 1996, 4785, 2008, 2038, 2579, 2173, 2144, 1996, 3054, 1030, 1011, 1030, 3865, 1010, 2087, 21193, 1999, 10399, 2211, 2000, 7822, 2044, 2901, 1010, 1998, 2011, 2456, 2035, 17785, 2512, 1030, 1011, 1030, 12058, 2828, 21193, 1999, 10399, 2020, 17512, 1012, 2019, 2779, 1997, 3429, 2512, 1030, 1011, 1030, 7505, 4726, 2744, 5498, 2020, 17785, 2169, 2095, 2011, 1996, 14024, 1043, 2721, 9793, 9966, 2554, 2013, 2456, 1516, 2384, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2710, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 3010, 10162, 3470, 5383, 1996, 2922, 2181, 1998, 3872, 1997, 2455, 3256, 2006, 3011, 2648, 1997, 1996, 16128, 1998, 10227, 3256, 8697, 1998, 2003, 2188, 2000, 1037, 2193, 1997, 6937, 3256, 9700, 1010, 2164, 10647, 1998, 9957, 3256, 9700, 2006, 8670, 15379, 2479, 1010, 2011, 10994, 3256, 6178, 2006, 2011, 10994, 2479, 1010, 1998, 7614, 3256, 6178, 2006, 7614, 2479, 1012, 21193, 1999, 1996, 3010, 10162, 2020, 2379, 14442, 2090, 3624, 1998, 2456, 1010, 3974, 2603, 14181, 1997, 3256, 2566, 2095, 2090, 2786, 1998, 2456, 1012, 2144, 2023, 2051, 1010, 3010, 10162, 21193, 2031, 5281, 1037, 4629, 3623, 1999, 3742, 3279, 1999, 3433, 2000, 16676, 2621, 4860, 1010, 3974, 6227, 14181, 2566, 2095, 2090, 2289, 1998, 2268, 1012, 102, 101, 2060, 2913, 2265, 2008, 2090, 3624, 1998, 2639, 1010, 1996, 7614, 3256, 6178, 2439, 6163, 2463, 2509, 1006, 2385, 12731, 2771, 1007, 1997, 3256, 1010, 3701, 2083, 4857, 5582, 1012, 2035, 2350, 13307, 21193, 2247, 1996, 2789, 7614, 3256, 6178, 7785, 2031, 11672, 2013, 1015, 2463, 1006, 1014, 1030, 1012, 1030, 5786, 2771, 1007, 2000, 1017, 2463, 1006, 1015, 1030, 1012, 1030, 1023, 2771, 1007, 2144, 3624, 1012, 2006, 1996, 16332, 2078, 9814, 1997, 15317, 6491, 7869, 2479, 1010, 1996, 21934, 8202, 3256, 6178, 2038, 2439, 4700, 1003, 1997, 2049, 2181, 2144, 3851, 1012, 2065, 1996, 2783, 27301, 3785, 3613, 1010, 1996, 3588, 17381, 3256, 2006, 1996, 16332, 2078, 9814, 2097, 2022, 2908, 2105, 16327, 2692, 1012, 2006, 2257, 2410, 1010, 2384, 1010, 1996, 1037, 26274, 3256, 11142, 3631, 2489, 2013, 1996, 2167, 3023, 1997, 15317, 6491, 7869, 2479, 1012, 1996, 5764, 2463, 2475, 1006, 2423, 5490, 2771, 1007, 3256, 11142, 10070, 2046, 1996, 10162, 4153, 1012, 2023, 2628, 1996, 14541, 1997, 1996, 4829, 5690, 3256, 11142, 1999, 2526, 1012, 1996, 4829, 5690, 2038, 2439, 3938, 1003, 1997, 2049, 2181, 1999, 1996, 2197, 2301, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2642, 2885, 1027, 1027, 1027, 102, 101, 102, 101, 10162, 3470, 2167, 1997, 5120, 1010, 6435, 1998, 3607, 2031, 2035, 3491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.007664919511267982, 0.027065380045583856, 0.030491318246603772, 0.0671409798502507, 0.010610668305855017, 0.0012698364812973504, 0.0005628897126513016, 0.0024482841430822915, 0.000029045947265910708, 0.0008795764124394674, 0.009198031108375295, 0.005074187011808681, 0.02335490057471599, 0.06372986171681717, 0.0019557764048062994, 0.0010512992156959979, 0.03621131548456142, 0.011662848321328695, 0.056928640869209235, 0.0001612215809903592, 0.00034297271378306296, 0.0002900936416357049, 0.15567608268015928, 0.0012477685131930267, 0.09920671122779258, 0.07319563923634594, 0.018152459314718976, 0.023007318549859088, 0.0016361615064851764, 0.0805441830776317, 0.0073067820322639315, 0.001751908873204994, 0.0003518303753717039, 0.06640542494740076, 0.0002534169618431271, 0.03852879409119184, 0.008571415708730889, 0.00008975029338681648, 0.0003607322480969101, 0.000014109778988368277, 0.006802009840872231, 0.008787736691460041, 0.00048533503889595947, 0.0058812865672376625, 0.025977075079593324, 0.00019984801841000345, 0.0042118141690990155, 0.000018564946880491563, 1.0009833708128558e-8, 0.013211782921026875 ]
[ 3350, 1997, 10046, 7822, 1012, 1999, 1996, 17917, 2389, 21458, 13888, 1010, 1996, 2479, 1997, 13183, 11711, 2368, 2038, 3365, 21193, 1012, 2470, 7127, 2008, 7003, 13578, 2368, 1006, 7003, 10046, 1007, 2006, 13183, 11711, 2368, 11672, 1015, 1030, 1012, 1030, 1018, 2463, 1006, 1014, 1030, 1012, 1030, 6584, 2771, 1007, 2013, 4266, 2000, 3196, 1998, 2178, 4278, 1049, 1006, 1015, 1030, 1010, 1030, 3998, 3027, 1007, 2076, 1996, 2385, 1030, 1011, 1030, 2095, 2558, 2013, 3196, 2000, 2687, 1012, 1038, 21297, 20528, 4859, 13578, 2368, 1010, 1037, 10046, 1999, 1996, 2332, 1005, 1055, 3016, 2181, 1997, 13183, 11711, 2368, 1010, 2038, 11672, 3155, 1016, 2463, 1006, 1015, 1030, 1012, 1030, 1016, 2771, 1007, 1999, 1996, 2627, 3770, 2086, 1012, 2144, 3624, 1996, 2779, 7822, 1997, 1038, 21297, 20528, 4859, 13578, 2368, 2038, 2042, 2055, 3486, 1049, 1006, 10630, 3027, 1007, 1037, 2095, 1010, 1998, 2023, 2779, 2001, 9412, 2349, 2000, 2019, 14613, 3446, 1997, 7822, 2144, 2786, 1012, 6660, 1010, 3054, 2890, 2293, 27698, 28029, 11672, 3263, 1049, 1006, 20982, 3027, 1007, 2090, 3355, 1998, 2786, 1012, 1999, 1996, 6846, 3148, 27838, 19968, 3148, 13888, 2167, 1997, 3607, 1010, 2470, 7127, 2008, 1999, 3999, 2045, 2001, 18512, 2463, 1006, 14378, 2771, 1007, 1997, 10046, 3256, 2247, 1996, 3023, 1012, 2011, 2857, 2023, 2018, 2042, 4359, 2011, 1022, 1003, 2000, 20003, 2463, 1006, 13138, 2771, 1007, 1997, 10046, 15458, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 16128, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 16128, 1010, 10046, 7822, 2038, 2042, 5159, 1999, 13307, 21193, 1010, 4525, 1999, 2019, 3623, 1997, 1996, 3256, 4834, 3446, 1998, 4078, 2696, 14454, 3989, 1997, 1996, 3742, 5703, 1997, 1996, 3256, 7123, 2008, 2003, 2037, 3120, 1012, 1996, 5658, 3279, 1999, 3872, 1998, 6516, 2712, 2504, 6691, 1997, 1996, 16128, 3256, 7123, 1006, 21025, 2015, 1007, 2038, 11515, 1999, 3522, 2086, 2013, 3938, 2463, 2509, 1006, 2570, 12731, 2771, 1007, 2000, 10545, 2463, 2509, 1006, 5187, 12731, 2771, 1007, 2566, 2095, 1012, 6950, 2036, 3264, 2008, 1996, 16264, 2001, 6923, 12473, 2471, 2035, 21193, 2148, 1997, 3963, 1050, 2011, 2384, 1012, 1996, 2558, 2144, 2456, 2038, 2716, 7822, 2000, 2195, 2200, 2312, 21193, 2008, 2018, 2146, 2042, 6540, 1012, 2093, 21193, 2008, 2031, 2042, 18800, 1517, 2002, 2140, 8049, 10046, 1010, 16073, 2121, 19422, 15916, 4757, 6692, 4160, 10046, 1010, 1998, 19108, 7377, 16022, 2003, 19892, 29667, 1517, 10776, 12475, 2062, 2084, 2385, 1003, 1997, 1996, 16128, 3256, 7123, 1012, 1999, 1996, 2553, 1997, 2002, 2140, 8049, 10046, 1010, 6950, 2109, 5871, 4871, 2000, 5646, 1996, 2929, 1998, 7822, 1997, 1996, 10046, 1012, 5871, 4871, 1998, 9682, 7008, 2013, 1996, 4856, 1998, 3955, 2265, 2008, 1996, 2392, 1997, 1996, 10046, 2018, 2815, 1999, 1996, 2168, 2173, 2005, 5109, 1012, 1999, 2541, 1996, 10046, 2211, 17512, 5901, 1010, 1998, 2011, 2384, 1996, 10046, 2018, 11672, 1037, 2561, 1997, 1021, 1030, 1012, 1030, 1016, 2463, 1006, 1018, 1030, 1012, 1030, 1019, 2771, 1007, 1010, 29494, 2013, 2322, 1049, 1006, 5764, 3027, 1007, 2566, 2154, 2000, 3486, 1049, 1006, 10630, 3027, 1007, 2566, 2154, 2076, 2008, 2558, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.0027030773303033297, 0.000020628113339677988, 0.007860449883524865, 8.794328361753911e-9, 8.794328361753911e-9, 0.05202930738986631, 0.002659566864141994, 0.00006417403717643152, 0.0006713051780111505, 0.000537229288598217, 0.0019483258437433587, 0.021442931092808894, 0.00050270928930754, 0.0771390979421855, 0.025964211807039925, 0.0008809784834755066, 0.015989862228785474, 0.0014620963767985025, 0.0006548519751392619, 0.0014261634781403782, 0.07610783946015455, 0.030343583260010323, 0.05116556996732808, 8.794328361753911e-9, 0.14038406374835094, 0.12562521893448583, 0.0004207033042840647, 0.00005367767141006373, 0.00802000906281788, 0.0002489177520061712, 0.00006247410939884947, 0.04710009246751925, 8.79432868719237e-9, 0.031581131414332726, 0.000021347355620362802, 8.794328361753911e-9, 0.08310419408068052, 0.015650044051372505, 0.004447398148819089, 0.0004481342025734838, 0.0001251689708945816, 0.0029919902989556783, 0.06428972457861387, 0.007003176637509031, 0.00001697406609048298, 0.00003352038845221451, 0.02191280507381312, 0.02694725480876257, 0.04793796681738693, 8.794328361753911e-9 ]
[ 102, 101, 19108, 7377, 16022, 2003, 19892, 29667, 1999, 2225, 16128, 1010, 1037, 2350, 13307, 10046, 1997, 1996, 16128, 3256, 7123, 1010, 2038, 2042, 1996, 7915, 3048, 10046, 1999, 1996, 2088, 2058, 1996, 2627, 2431, 2301, 1012, 2009, 2018, 2042, 3048, 10843, 2012, 10898, 1997, 2058, 2484, 1049, 1006, 6535, 3027, 1007, 2566, 2154, 2007, 1037, 6540, 7342, 2144, 2012, 2560, 3925, 1012, 1999, 2526, 1996, 2260, 2463, 1006, 1021, 1030, 1012, 1030, 1019, 2771, 1007, 2146, 8274, 7342, 1997, 1996, 10046, 3133, 1037, 4403, 1997, 5915, 7822, 1010, 2007, 1996, 3256, 2392, 4911, 2039, 1998, 1996, 8274, 7342, 4487, 11493, 2618, 28183, 1998, 29494, 2000, 1037, 7822, 3446, 1997, 2058, 2382, 1049, 1006, 5818, 3027, 1007, 2566, 2154, 1012, 2006, 1037, 7820, 2335, 9289, 2063, 1010, 8810, 1997, 1996, 2364, 8260, 1997, 16073, 2121, 19422, 15916, 4757, 6692, 4160, 10046, 2008, 2020, 8577, 2012, 2321, 1049, 1006, 4749, 3027, 1007, 2566, 2154, 2013, 2997, 2000, 2541, 2020, 7594, 2000, 2022, 8577, 2012, 2871, 1049, 1006, 7558, 3027, 1007, 2566, 2154, 1999, 1996, 2621, 1997, 2384, 1012, 2025, 2069, 2038, 16073, 2121, 19422, 15916, 4757, 6692, 4160, 11672, 1010, 2009, 2038, 2036, 4857, 7228, 2011, 2062, 2084, 2531, 1049, 1006, 14210, 3027, 1007, 1012, 102, 101, 1996, 5915, 4857, 5582, 1010, 16264, 1998, 7822, 1997, 2002, 2140, 8049, 1010, 19108, 7377, 16022, 2015, 1998, 16073, 2121, 19422, 15916, 4757, 6692, 4160, 21193, 1999, 16128, 1010, 2035, 1999, 2485, 2523, 2007, 2028, 2178, 1010, 6083, 1037, 2691, 29170, 7337, 1010, 2107, 2004, 9412, 3302, 13721, 2349, 2000, 3164, 4785, 12959, 2030, 1037, 2689, 1999, 2749, 2012, 1996, 10046, 2392, 1012, 1996, 9412, 13721, 2877, 2000, 11320, 23736, 10719, 1997, 1996, 10046, 2918, 2038, 2042, 5159, 2000, 3426, 1037, 2235, 12348, 10146, 3623, 1998, 1996, 2713, 1997, 14899, 5880, 6597, 2038, 2036, 2419, 2000, 2069, 2235, 2460, 2744, 16264, 2015, 1012, 1996, 3278, 16264, 2015, 3264, 2006, 1996, 2093, 2922, 21193, 2211, 2012, 1996, 11130, 2290, 2392, 1998, 17678, 16098, 3064, 9514, 1998, 2024, 2025, 12348, 1999, 3267, 1012, 2947, 1010, 1996, 3078, 3120, 1997, 13307, 10046, 16264, 4235, 5159, 2006, 2235, 1998, 2312, 11130, 2290, 21193, 1999, 16128, 2003, 5533, 2011, 3431, 1999, 8790, 2749, 2012, 1996, 10046, 2392, 1010, 2025, 9412, 14899, 5880, 11320, 23736, 10719, 1012, 2023, 2001, 12061, 1996, 19108, 7377, 16022, 2015, 3466, 2011, 22677, 8099, 2012, 1996, 2118, 1997, 7081, 1999, 3069, 1012, 5262, 1010, 1037, 2817, 2405, 1999, 2325, 2006, 17381, 11564, 21535, 2012, 1017, 4573, 2179, 6187, 5737, 7368, 1010, 2349, 2000, 4010, 4942, 23296, 6305, 4818, 2300, 24554, 1010, 2029, 2038, 2042, 4453, 2004, 1037, 2825, 7444, 2486, 2005, 11113, 13490, 1006, 3302, 14173, 1007, 1012, 2947, 1010, 6083, 4153, 4860, 7711, 3256, 7123, 3302, 19550, 2012, 3563, 4573, 1012, 2122, 9556, 2036, 2265, 2008, 4275, 2104, 4355, 21499, 1996, 14639, 1997, 16128, 21193, 2000, 4153, 12959, 1998, 4525, 3256, 7123, 19550, 1012, 6516, 1010, 2302, 2488, 19518, 1010, 2047, 9420, 6592, 2008, 2627, 21796, 1997, 2712, 2504, 4125, 2012, 18886, 29446, 2013, 1996, 16128, 3256, 7123, 5478, 10745, 13921, 1012, 102, 101, 102, 101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.001314372941208513, 0.0000017644109644589385, 0.00032422257973168127, 0.026933482573059567, 0.015677325236831408, 0.07794052621113287, 0.09668790530268084, 0.0010673849708863685, 0.0010010254616654674, 0.018746456379545137, 0.011250066596608634, 0.0008398512308602029, 0.0003883984200524677, 0.053806684014259656, 0.0007293631298096029, 0.035708271687843234, 0.0017020254269785394, 0.04955599471006703, 0.0016437857810221515, 0.014557815854264603, 0.01832783816896728, 0.017653715227389163, 0.000029637091239537228, 0.013570742102948613, 0.0018143813722490774, 0.017596344309001234, 0.006168511508638853, 0.004253145378478961, 0.09144684150536397, 0.021330211351663683, 0.04645500386262341, 0.07428881919350197, 0.05954594354697877, 0.045849296499385045, 7.464850816823474e-9, 0.000158935324600148, 0.05854064625668333, 0.0022354077353425083, 0.0004877452873275081, 0.0005874966199144487, 0.0005666326132808428, 0.0010225254629795755, 0.05301336766636751, 0.0009772758319278518, 0.03358233958937444, 0.00036175582117969755, 0.004118257820854071, 0.014886499002268901, 0.00004603940099779336, 0.0012079140641487588 ]
[ 1027, 1027, 1027, 12615, 1027, 1027, 1027, 102, 101, 102, 101, 12615, 2003, 20014, 6132, 2135, 3147, 1998, 17511, 1012, 2087, 1997, 1996, 2088, 1005, 1055, 12573, 3256, 2003, 4838, 2306, 2049, 8697, 1012, 2049, 2087, 6918, 2742, 1997, 10046, 7822, 2003, 1996, 3279, 1997, 2312, 5433, 1997, 1996, 20094, 3256, 11142, 2006, 1996, 10227, 6000, 1012, 1996, 3522, 7859, 1997, 2773, 2666, 3256, 11142, 1010, 3159, 13430, 3256, 11142, 1010, 26774, 3256, 11142, 1010, 3557, 3256, 11142, 1010, 20094, 1030, 1011, 1030, 1037, 1998, 20094, 1030, 1011, 1030, 1038, 3256, 11142, 2006, 1996, 10227, 6000, 2038, 2992, 7073, 1997, 2129, 8790, 3256, 11142, 3001, 2024, 1012, 102, 101, 1996, 10227, 7123, 2003, 1996, 2922, 2124, 2309, 3742, 1997, 3256, 1012, 2009, 4472, 2471, 2403, 2454, 2463, 2475, 1998, 2070, 2382, 2454, 2463, 2509, 1997, 3256, 1012, 2105, 3938, 1003, 1997, 1996, 4840, 2300, 2006, 1996, 4774, 1005, 1055, 3302, 2003, 2218, 1999, 2023, 2181, 1998, 2065, 12501, 2052, 5333, 2712, 3798, 2011, 5388, 3620, 1012, 1996, 9983, 1030, 1011, 1030, 2898, 2779, 3302, 4860, 9874, 1997, 12615, 2003, 3893, 1998, 3278, 2012, 1028, 1014, 1030, 1012, 1030, 5709, 1080, 1039, 1013, 5476, 2144, 3890, 1012, 102, 101, 1996, 10227, 7123, 2003, 4055, 2011, 1996, 9099, 26802, 11890, 4588, 4020, 2046, 2048, 16655, 26426, 5433, 2124, 2004, 1996, 2264, 10227, 3256, 7123, 1006, 19413, 2483, 1007, 1998, 1996, 3760, 2225, 10227, 3256, 7123, 1006, 23701, 2015, 1007, 1012, 1996, 19413, 2483, 16626, 2006, 1037, 2350, 2455, 3742, 2021, 1996, 2793, 1997, 1996, 23701, 2015, 2003, 1010, 1999, 3182, 1010, 2062, 2084, 1016, 1030, 1010, 1030, 3156, 3620, 2917, 2712, 2504, 1012, 2009, 2052, 2022, 2712, 8270, 2065, 1996, 3256, 7123, 2020, 2025, 2045, 1012, 1996, 23701, 2015, 2003, 6219, 2004, 1037, 3884, 1030, 1011, 1030, 2241, 3256, 7123, 1010, 3574, 2008, 2049, 2793, 3658, 2917, 2712, 2504, 1998, 2049, 7926, 4834, 2046, 8274, 3256, 15475, 1012, 1996, 23701, 2015, 2003, 10351, 2011, 1996, 5811, 3256, 11142, 1010, 1996, 6902, 2638, 3256, 11142, 1010, 1998, 13307, 21193, 2008, 12475, 2046, 1996, 2572, 26698, 2368, 2712, 1012, 102, 101, 3256, 15475, 2024, 2025, 6540, 2043, 3302, 13721, 5158, 1010, 1998, 1996, 7859, 1997, 20094, 3256, 11142, 2038, 2042, 3303, 2011, 16676, 14899, 2161, 7715, 2008, 2031, 2419, 2000, 3302, 13721, 1998, 1996, 4195, 1997, 8467, 16879, 1997, 2300, 2006, 1996, 3256, 11142, 1012, 1996, 20094, 3256, 11142, 2439, 1016, 1030, 1010, 1030, 3156, 2463, 2475, 1006, 5989, 2692, 5490, 2771, 1007, 1997, 2049, 2181, 2013, 2786, 2000, 2541, 1012, 1999, 1037, 3486, 1030, 1011, 1030, 2154, 2558, 2927, 2006, 2254, 2861, 1010, 2526, 1010, 2055, 1017, 1030, 1010, 1030, 5539, 2463, 2475, 1006, 1015, 1030, 1010, 1030, 5539, 5490, 2771, 1007, 1997, 11142, 2181, 4487, 11493, 2618, 22780, 2094, 1012, 1996, 3256, 11142, 2003, 2085, 2871, 1003, 1996, 2946, 1997, 2049, 3025, 6263, 6540, 6698, 1012, 1999, 2325, 1037, 2817, 5531, 2008, 1996, 3588, 20094, 1038, 3256, 1030, 1011, 1030, 11142, 2097, 4487, 11493, 2618, 22780, 2011, 1996, 2203, 1997, 1996, 5476, 1010, 2241, 2006, 9420, 1997, 5514, 4834, 1998, 5915, 4857, 5582, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.14094826618957335, 0.003427235679389928, 0.009388696740481022, 0.08620731496973166, 0.0017170270211393699, 0.00020643670075227012, 0.002453793614015931, 0.008145881906465693, 0.004360640917555556, 0.03615565029411389, 0.05866485656098581, 0.05861348941561957, 0.0009838362128103133, 0.000003357375883294454, 0.00009045700756040135, 0.0012123883192091413, 0.0625440296358801, 0.11310735365161342, 0.04572922335078013, 0.008852041134950188, 0.0005005950993983148, 0.01850377693896615, 0.00001904416687001264, 0.00008828391598639689, 0.008912784292758226, 0.0427058407679769, 0.001788378977168331, 0.00005044982520218085, 0.07321587024841748, 0.0003345442821145191, 0.0018465508905253444, 0.004262769406713716, 0.040918027830900386, 0.0017106830171408375, 0.019377772088057556, 0.00022303587872817538, 0.000002199811640567397, 0.06506438120611857, 0.007542296674427906, 0.0017353867811519686, 0.011598971190564392, 0.0024113265523228017, 0.0018335777092123179, 0.004231288783329168, 0.00006243377773471786, 0.03596798336911394, 0.0025537160288639327, 0.0029796900184817098, 0.0008286901832154689, 0.005917673588386873 ]
[ 21193, 1999, 1996, 2181, 1012, 3557, 3256, 11142, 2018, 2019, 2181, 1997, 3486, 2463, 2475, 1006, 2403, 5490, 2771, 1007, 1999, 1996, 3955, 2021, 2011, 2263, 2009, 2018, 5419, 1012, 2773, 2666, 3256, 11142, 2038, 2908, 2013, 2019, 2181, 1997, 1015, 1030, 1010, 1030, 3156, 2463, 2475, 1006, 23712, 5490, 2771, 1007, 1999, 3925, 2000, 1015, 1030, 1010, 1030, 4278, 2463, 2475, 1006, 20263, 5490, 2771, 1007, 1999, 2456, 1012, 3159, 13430, 3256, 11142, 2038, 2908, 2013, 2019, 2181, 1997, 1015, 1030, 1010, 1030, 5174, 2463, 2475, 1006, 23612, 5490, 2771, 1007, 2000, 1015, 1030, 1010, 1030, 2531, 2463, 2475, 1006, 17442, 5490, 2771, 1007, 1999, 2263, 1012, 2044, 2037, 3279, 1996, 4359, 10007, 8303, 2075, 1997, 21429, 21193, 2038, 3039, 1996, 3517, 3177, 1030, 1011, 1030, 2039, 1997, 9514, 3256, 11678, 2044, 11142, 3256, 3338, 1030, 1011, 1030, 2039, 1012, 1996, 5811, 3256, 11142, 2003, 1996, 2922, 3256, 11142, 1997, 12615, 1006, 2019, 2181, 1997, 5560, 4466, 2581, 1030, 1010, 1030, 2199, 2675, 3717, 1006, 19121, 1030, 1010, 1030, 2199, 5490, 2771, 1007, 1998, 2055, 5385, 3717, 1006, 3156, 2771, 1007, 2408, 1024, 2055, 1996, 2946, 1997, 2605, 1007, 1012, 22745, 3256, 11142, 2003, 2178, 3256, 11142, 2008, 2038, 4265, 6937, 7822, 1012, 1996, 3256, 11142, 2018, 2019, 2181, 1997, 2385, 1030, 1010, 1030, 2199, 2463, 2475, 1006, 1020, 1030, 1010, 1030, 3263, 5490, 2771, 1007, 1999, 2687, 2043, 1015, 1030, 1010, 1030, 2199, 2463, 2475, 1006, 20024, 5490, 2771, 1007, 2001, 2439, 2008, 2095, 1012, 1999, 2289, 1998, 2263, 3278, 16931, 2075, 2764, 1998, 2419, 2000, 1996, 3279, 1997, 2178, 1015, 1030, 1010, 1030, 4278, 2463, 2475, 1006, 20263, 5490, 2771, 1007, 1997, 2181, 1998, 2070, 1997, 1996, 11130, 2290, 4158, 1999, 1996, 17151, 21493, 3467, 1012, 1996, 11130, 2290, 2790, 2000, 2031, 4504, 2013, 3653, 8663, 20562, 2075, 2107, 2004, 4857, 5582, 1010, 4298, 2349, 2000, 15191, 14899, 1010, 2004, 3302, 14899, 2001, 2025, 2004, 10358, 1010, 2877, 2000, 1037, 7312, 1999, 1996, 3997, 1997, 1996, 22866, 2391, 7264, 1012, 1996, 23082, 3256, 2059, 5281, 9359, 16931, 2015, 1998, 19010, 1012, 2023, 2558, 16943, 1999, 1996, 7859, 1997, 2019, 3256, 2958, 7176, 1996, 2364, 3256, 11142, 2000, 25869, 24310, 2479, 2877, 2000, 1996, 3279, 1997, 2019, 3176, 6352, 2463, 2475, 1006, 13756, 5490, 2771, 1007, 2090, 2337, 1998, 2238, 2268, 1012, 102, 101, 4830, 27488, 2078, 6080, 4140, 3089, 10046, 1010, 1037, 2235, 13307, 10046, 1997, 1996, 10227, 3256, 7123, 1010, 28667, 19082, 2012, 2019, 2779, 3446, 1997, 1014, 1030, 1012, 1030, 1021, 1049, 1006, 1016, 1030, 1012, 1030, 1017, 3027, 1007, 2566, 2095, 2013, 3172, 2000, 2526, 1012, 2006, 1996, 10227, 6000, 1010, 2029, 2003, 1996, 2069, 2930, 1997, 12615, 2008, 8908, 2092, 2167, 1997, 1996, 10227, 4418, 1010, 2045, 2024, 5606, 1997, 17512, 21193, 1012, 1999, 2028, 2817, 1997, 24194, 21193, 2006, 1996, 6000, 1010, 18164, 2031, 11672, 2019, 2779, 1997, 5174, 1049, 1006, 1016, 1030, 1010, 1030, 2199, 3027, 1007, 2013, 2073, 2027, 2020, 2043, 2034, 7594, 1999, 4052, 1012, 7222, 2479, 10046, 1010, 2019, 10227, 2041, 12314, 10046, 2008, 6223, 2046, 1996, 2572, 26698, 2368 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.013724937639243187, 0.00045361507084168206, 0.06336143757334131, 0.0007379471612634679, 0.0038077907394355216, 0.013552873587952043, 0.059693019398501634, 0.0024964782231868365, 0.000023447273010711756, 0.09371372200686615, 0.000748389834460033, 0.010276490172940784, 0.0793500394184594, 0.06580250997964393, 0.00017264009542653665, 0.11788309131147447, 0.0000017535264319941726, 0.060051892611157925, 0.0035950169610012863, 0.01674435374829446, 0.005785352198463854, 0.002250003727772985, 0.03842377198390532, 0.004011322617292162, 0.00004744795487998784, 0.0001134451736263842, 0.002191581065243516, 0.01624135424865975, 0.00032285436148895717, 0.0007554198715152479, 0.001987457400732689, 0.004174562800972708, 0.0015968689062196032, 0.0010561345625088809, 0.033930243880349806, 0.0010778897686082845, 0.0010081068806230412, 0.09008254300595633, 0.0001360764419771655, 0.002545622386100494, 0.00039584350652856274, 0.008591510578821406, 0.04564471396068165, 0.022226912626873537, 0.043421372155983115, 0.048828530955797485, 0.0025366992890767702, 0.0008922946497464893, 0.009367436216728881, 0.0041651804899316015 ]
[ 2712, 1012, 1037, 2817, 2013, 2687, 5531, 2008, 1996, 10046, 4857, 7228, 1017, 1030, 1012, 1030, 1019, 1049, 1006, 2340, 3027, 1007, 1081, 1014, 1030, 1012, 1030, 1023, 1049, 1006, 1017, 1030, 1012, 1030, 1014, 3027, 1007, 2566, 2095, 1998, 11672, 1037, 2561, 1997, 1019, 2463, 1006, 1017, 1030, 1012, 1030, 1015, 2771, 1007, 1999, 1017, 1030, 1012, 1030, 1022, 2086, 1012, 1996, 7342, 1997, 1996, 7222, 2479, 10046, 2003, 1037, 8274, 3256, 11142, 1010, 1998, 1996, 2391, 2012, 2029, 2009, 4627, 2000, 14257, 11672, 1015, 1030, 1012, 1030, 1016, 2463, 1006, 1014, 1030, 1012, 1030, 4293, 2771, 1007, 2566, 2095, 2013, 2826, 2000, 2727, 1012, 2023, 10046, 18916, 1037, 6937, 4664, 1997, 1996, 2225, 10227, 3256, 7123, 1012, 102, 101, 1037, 2817, 2405, 1999, 2297, 2179, 1010, 5915, 2598, 2075, 2240, 7822, 1999, 1996, 2086, 2826, 1030, 1011, 1030, 2249, 1012, 2241, 2006, 1037, 2817, 2013, 2384, 1010, 1996, 4602, 7822, 2001, 2464, 1999, 1055, 5558, 13565, 10046, 1010, 2029, 2003, 2085, 2410, 2463, 1006, 1022, 1030, 1012, 1030, 1015, 2771, 1007, 2582, 9514, 2084, 2073, 2009, 2001, 1999, 4052, 1012, 2045, 2024, 3590, 21193, 2008, 2020, 7594, 2000, 2031, 3935, 1025, 2174, 1010, 2122, 21193, 3662, 2069, 1037, 10754, 5083, 14985, 3998, 1049, 1006, 25195, 3027, 1007, 2566, 10046, 1010, 2029, 2003, 6022, 3760, 2084, 1996, 5294, 7822, 5159, 1012, 16215, 29601, 2015, 10046, 1010, 2029, 2038, 2036, 3491, 3350, 1997, 4857, 5582, 1010, 2038, 2042, 3615, 2000, 2004, 1996, 5410, 2104, 17327, 2100, 1997, 1996, 2225, 10227, 3256, 7123, 1012, 1037, 2817, 2405, 1999, 2297, 2179, 5915, 2598, 2075, 2240, 7822, 1999, 1996, 2086, 2826, 1030, 1011, 1030, 2249, 1012, 2000, 25970, 10046, 1010, 2003, 1037, 2312, 10046, 19689, 1037, 2350, 4664, 1997, 1996, 2264, 10227, 3256, 7123, 1012, 1037, 2817, 1999, 2263, 5531, 2008, 2000, 25970, 10046, 2003, 2747, 3974, 3742, 1012, 1037, 2817, 2405, 1999, 2325, 5531, 2008, 2000, 25970, 10046, 1010, 2038, 1996, 2922, 6691, 1997, 3256, 4857, 5582, 3446, 2006, 1996, 2264, 10227, 9983, 1010, 1998, 2008, 1996, 4857, 5582, 2003, 5533, 2011, 9412, 15191, 13721, 1010, 2138, 1997, 4153, 6194, 1010, 1998, 5360, 2011, 26572, 17238, 4023, 1012, 5678, 1010, 4010, 25022, 11890, 24237, 19478, 2784, 2300, 1010, 2038, 2042, 5159, 2076, 2621, 1998, 3467, 2706, 2012, 1996, 3518, 6803, 11142, 2917, 4278, 2000, 3156, 5563, 1997, 4658, 10227, 3302, 2300, 1012, 102, 101, 102, 101, 1027, 1027, 3896, 1997, 10046, 7822, 1027, 1027, 102, 101, 102, 101, 1996, 2506, 7822, 1997, 21193, 2097, 2031, 1037, 2193, 1997, 2367, 20155, 3896, 1012, 1999, 2752, 2008, 2024, 4600, 7790, 2006, 2300, 19550, 2013, 21193, 2008, 14899, 2076, 1996, 16676, 2621, 2706, 1010, 1037, 13633, 1997, 1996, 2783, 7822, 2097, 2776, 2139, 10814, 2618, 1996, 17381, 3256, 1998, 12381, 5547, 2030, 11027, 19550, 1012, 1037, 7312, 1999, 19550, 2097, 7461, 1996, 3754, 2000, 20868, 3089, 5867, 8765, 1998, 2097, 5547, 2621, 5460, 6223, 4072, 2000, 2562, 17278, 1998, 22535, 16360, 7770, 13295, 1012, 2023, 3663, 2003, 3391, 11325, 2005, 12442, 1999, 2148, 2637, 1010, 2073, 3365, 7976, 6597, 2024, 3561, 2471, 7580, 2011, 17381, 14899, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.06697251697220191, 0.0012991277588152445, 0.005188800832561285, 0.01123411366965651, 0.002790769692683214, 0.000008884068539065416, 0.1505687470267713, 0.0010045559051811235, 0.00009869247828314253, 0.01703846012306322, 9.216448943013394e-9, 0.00022202268657083027, 0.01197395188812859, 9.201214928420172e-9, 0.00013542167248114468, 0.003000833595124155, 0.09079112065016014, 0.0000019365794039550726, 0.0018594065896319625, 0.03768689975717597, 0.026784980130845203, 0.001602575941003525, 0.009413623459835796, 0.003071913353780549, 0.00010607661867048404, 0.0048573737651235955, 0.008546105694220141, 0.011221507252721377, 0.0019087391560748388, 0.002186703545575768, 0.009746055569122022, 0.09401003626836126, 0.10544260296920784, 0.00001154135721743073, 0.0000862841414363081, 0.0002538525200135668, 0.04471513917703495, 0.11630377222296079, 9.201214928420172e-9, 0.027364886422523486, 0.004961512124985, 0.014113788855971001, 0.04090762490099066, 0.0009312803609595927, 0.002834166343457986, 0.02175511544897625, 9.201214928420172e-9, 0.014972316542532652, 0.02949682022106438, 0.000517306868807133 ]
[ 2430, 4004, 3032, 2031, 2036, 2042, 7145, 7790, 2006, 1996, 12348, 10046, 14899, 2300, 2005, 12442, 1998, 5948, 6067, 1012, 1999, 5120, 1010, 1996, 13698, 1010, 1998, 1996, 3534, 4514, 1997, 2167, 2637, 1010, 10046, 19550, 2003, 2590, 2005, 18479, 11452, 1012, 102, 101, 2070, 1997, 2023, 7822, 2038, 4504, 1999, 4073, 2000, 4030, 2091, 1996, 3279, 1997, 21193, 1999, 1996, 13698, 1012, 2000, 2128, 7559, 2094, 13721, 1997, 1996, 21193, 2109, 2011, 3056, 6161, 8301, 16511, 1010, 8810, 1997, 1996, 24646, 26068, 1998, 6770, 2480, 9080, 21193, 2020, 6822, 3139, 2007, 6081, 1012, 1999, 5288, 6081, 7123, 2075, 2003, 2036, 2109, 2000, 5547, 1996, 14899, 1997, 17381, 3256, 2109, 2004, 8301, 10314, 1012, 2096, 5266, 21193, 2007, 6081, 7123, 2075, 2089, 6011, 5056, 3560, 2000, 8301, 16511, 2006, 1037, 2235, 4094, 1010, 2023, 3218, 2003, 2025, 3517, 2000, 2022, 15318, 6742, 2006, 1037, 2172, 3469, 4094, 1012, 102, 101, 2116, 2427, 1997, 12573, 1998, 5474, 5880, 4264, 1998, 4176, 2024, 7790, 2006, 10046, 1030, 1011, 1030, 7349, 5380, 2000, 5676, 1996, 3147, 2300, 6552, 2000, 2029, 2027, 2031, 5967, 1012, 2070, 2427, 1997, 12573, 3869, 2342, 3147, 2300, 2000, 5788, 1998, 2000, 21376, 1010, 1998, 2023, 2003, 2926, 2995, 2007, 11840, 1998, 3013, 2705, 3217, 4017, 13452, 1012, 4359, 17381, 19550, 2064, 2599, 2000, 13990, 5460, 4834, 2000, 3499, 2122, 2427, 2000, 25220, 1012, 16705, 2000, 1996, 4153, 14731, 1010, 2349, 2000, 3445, 12573, 20407, 2013, 10046, 14899, 1010, 1998, 1996, 4022, 16705, 2000, 1996, 10867, 11631, 11475, 2638, 9141, 1997, 1996, 2088, 4153, 1010, 2089, 7461, 4493, 13424, 2588, 2029, 4286, 12530, 2004, 2092, 1012, 102, 101, 2028, 2350, 5142, 2003, 1996, 3445, 3891, 1997, 17381, 2697, 27719, 14295, 1006, 1043, 4135, 2546, 1007, 1010, 2029, 2031, 1999, 1996, 2627, 2018, 2307, 3466, 2006, 3268, 1998, 3200, 1012, 10046, 14899, 5880, 2187, 2369, 2011, 1996, 17512, 10046, 2003, 2411, 2218, 2067, 2011, 26821, 10586, 2008, 2064, 2022, 14480, 1998, 2031, 2042, 2124, 2000, 7859, 2065, 25769, 2030, 12936, 2011, 17932, 1010, 20148, 2015, 2030, 18846, 2015, 1012, 2065, 1996, 5536, 26821, 3170, 2003, 2025, 2844, 2438, 2000, 2907, 1996, 4803, 2300, 2369, 2009, 1010, 2009, 2064, 6532, 1010, 2877, 2000, 1037, 5294, 22574, 7186, 1012, 1996, 16593, 1997, 2107, 2824, 2003, 4803, 2349, 2000, 1996, 4325, 1998, 4935, 1997, 17381, 6597, 4525, 2013, 10046, 7822, 1012, 2627, 14295, 2031, 2042, 9252, 1998, 2031, 4504, 1999, 8216, 3200, 4053, 1012, 4865, 1998, 4731, 1999, 9561, 1010, 4867, 12467, 2008, 2024, 13248, 2013, 17381, 6597, 2024, 2012, 1996, 4602, 3891, 1012, 1999, 6527, 1037, 1043, 4135, 2546, 2207, 2070, 3263, 1030, 1010, 1030, 2199, 29061, 1006, 13539, 1030, 1010, 1030, 2199, 12731, 21076, 1007, 1997, 2300, 2013, 1996, 2697, 1997, 1996, 10046, 2139, 8915, 2618, 20996, 17854, 2063, 1010, 4525, 1999, 1996, 6677, 1997, 3263, 2111, 1999, 1996, 2413, 2237, 1997, 3002, 1030, 1011, 1030, 16216, 19146, 2483, 1030, 1011, 1030, 4649, 1030, 1011, 1030, 28477, 2015, 1012, 1043, 4135, 10343, 2031, 2042, 2124, 2000, 5258, 1999, 2296, 2555, 1997, 1996, 2088, 2073, 21193, 2024, 2284, 1012, 2506, 10046, 7822, 2003, 3517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.024147740490127665, 0.02652923872979821, 0.03508581878109667, 0.001617558996852074, 0.00003236090307251503, 0.00201155349812069, 0.0019377628601670144, 0.009385003724893159, 0.0010031695864201045, 0.0018615994921914797, 0.06227529397325481, 0.07359031690839582, 0.006568964682516401, 0.021282883371724463, 0.00006846909950828014, 0.06167532809018952, 7.858922903181303e-9, 0.00009808350654169806, 0.010510289441627182, 0.0000014809468370591448, 0.023544098297173528, 0.0023465899890623273, 0.004793963118006282, 0.06957774830340008, 0.00040792942393908513, 7.858922903181303e-9, 0.010556875605702636, 0.042039622392121515, 0.017594325217775306, 0.0002232804593899642, 0.0011168644101506918, 0.046847419787420075, 0.001470342863810308, 0.005209457884089338, 0.0001301685071467005, 0.00006481421694310429, 0.06079637644279773, 0.09418777441402362, 0.000004729384245754339, 0.0940843981658379, 0.05470975247296332, 0.000003868958367524516, 0.002449843050729287, 0.0017861490892728971, 0.00006250013655459062, 0.014447041635312925, 0.0026086510545432436, 0.00867588848295576, 0.08681764420504637, 0.01375894923003756 ]
[ 2000, 3443, 1998, 7818, 17381, 6597, 1010, 4852, 1996, 5473, 1997, 2925, 1043, 4135, 10343, 1012, 102, 101, 1996, 4022, 2005, 2350, 2712, 2504, 4125, 9041, 3262, 2006, 1037, 3278, 13721, 1997, 1996, 11508, 3256, 9700, 1997, 16128, 1998, 12615, 1010, 2004, 2023, 2003, 2073, 1996, 6565, 3484, 1997, 17381, 3256, 2003, 2284, 1012, 2065, 2035, 1996, 3256, 2006, 1996, 11508, 3256, 9700, 2020, 2000, 14899, 2185, 1010, 1996, 17401, 1997, 1996, 2088, 2052, 4125, 2019, 4358, 3963, 1049, 1006, 11816, 3027, 1007, 1012, 2348, 3130, 2009, 2001, 2245, 2008, 1996, 11508, 3256, 9700, 2020, 2025, 8020, 4600, 2000, 2712, 2504, 4125, 1006, 12997, 9468, 2289, 1007, 1010, 3522, 2913, 2031, 4484, 2008, 2119, 12615, 1998, 16128, 2024, 8020, 1014, 1030, 1012, 1030, 1019, 13388, 1006, 1014, 1030, 1012, 1030, 6185, 2692, 1999, 1007, 1037, 2095, 2169, 2000, 3795, 2712, 2504, 4125, 1012, 1996, 2755, 2008, 1996, 12997, 9468, 10035, 2106, 2025, 2421, 5915, 3256, 7123, 13121, 2046, 2037, 2712, 2504, 20932, 3084, 2009, 3697, 2000, 2004, 17119, 18249, 1037, 24286, 10197, 2005, 2712, 2504, 4125, 2021, 3522, 2913, 2424, 2008, 1996, 6263, 2712, 2504, 4125, 2097, 2022, 2105, 1014, 1030, 1012, 1030, 1022, 3620, 1006, 1016, 1030, 1012, 1030, 1020, 3027, 1007, 2011, 12875, 2692, 1012, 102, 101, 102, 101, 102, 101, 1027, 11290, 24610, 2819, 1027, 102, 101, 102, 101, 11290, 24610, 2819, 2003, 1037, 12553, 3565, 20192, 10736, 5783, 2007, 6454, 1048, 2615, 1998, 9593, 2193, 12904, 1012, 2009, 2003, 2019, 5186, 17669, 5783, 2008, 2038, 2069, 2042, 2580, 1999, 1996, 5911, 1998, 2038, 2025, 2042, 5159, 1999, 3267, 1012, 1996, 5783, 2003, 2315, 2044, 1996, 5623, 11290, 5974, 2120, 5911, 1999, 1996, 2142, 2163, 1010, 2029, 8678, 2007, 1996, 4101, 2820, 2005, 4517, 2470, 1999, 12931, 2532, 1010, 3607, 2000, 7523, 11290, 24610, 2819, 1999, 2456, 1012, 1996, 2171, 1997, 1996, 5911, 7836, 1996, 2103, 1997, 11290, 5974, 1010, 2662, 2073, 2009, 2003, 2284, 1010, 2029, 1999, 2735, 2001, 2315, 2044, 1996, 8086, 2121, 1998, 20270, 2728, 11290, 5974, 1012, 1996, 2171, 2001, 4233, 2011, 1045, 6279, 6305, 2006, 2089, 2382, 1010, 2262, 1012, 2176, 28846, 2015, 1997, 11290, 24610, 2819, 2024, 2124, 1010, 2007, 3742, 3616, 2090, 17222, 1998, 26953, 18678, 1025, 1996, 6493, 1030, 1011, 1030, 2973, 2426, 2068, 2003, 11290, 24610, 2819, 1030, 1011, 1030, 26953, 2007, 1037, 2431, 1030, 1011, 1030, 2166, 1997, 2055, 3438, 4971, 5562, 8663, 5104, 1012, 102, 101, 1999, 1996, 15861, 2795, 1010, 2009, 2003, 1037, 1052, 1030, 1011, 1030, 3796, 9099, 18908, 5498, 3207, 5783, 1012, 2009, 2003, 1037, 2266, 1997, 1996, 5504, 2558, 1998, 2003, 2872, 1999, 2177, 2385, 2004, 1996, 26858, 15775, 22499, 6914, 1010, 2348, 2009, 2038, 2025, 2042, 4484, 2000, 16582, 2004, 1996, 11907, 24004, 24277, 2000, 1996, 15775, 22499, 6914, 11037, 14907, 1012, 11290, 24610, 2819, 2003, 10174, 2000, 2031, 2070, 2714, 5144, 2000, 2049, 9442, 24004, 24277, 2015, 1006, 7722, 1010, 17864, 1010, 7367, 7770, 5007, 1010, 2425, 9496, 2819, 1010, 1998, 11037, 14907, 1007, 1010, 2348, 2009, 2323, 2036, 2265, 2195, 2350, 5966, 2013, 2068, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.000024338166618854008, 0.00004211605979205046, 0.012882102904262734, 0.009661191107368353, 0.1126187737906905, 0.0006192107155477858, 0.1386314596864211, 0.00183797887674493, 1.9435514338309754e-8, 0.02914136720398093, 0.022650845092053576, 0.00017360572109858144, 0.020781623934837463, 0.0003630222876722366, 0.000028680058749640413, 0.007881966024385866, 0.0006403651796405802, 0.0003227167060990713, 0.019144246366461913, 0.00007111087014585861, 0.0036809407374119125, 0.0007501641254320536, 0.011674872322369878, 0.00009187595268029745, 0.0419696531082954, 0.021167881752860128, 0.057716762640501115, 0.00020153563138369565, 0.000003464610150224022, 0.030008739274636115, 0.0033252086053429932, 0.09146544401100679, 0.010874372105787278, 0.0381879634081591, 7.268752147061985e-7, 0.07155888986961458, 0.028181338548105127, 0.00011837799637112084, 0.00043011721483633377, 0.011614775975153355, 0.000022705430154235592, 0.010666762892549572, 0.000006019686747975243, 0.0001499384576956178, 0.00024059920769226966, 0.10958313641708133, 0.04088417585592207, 0.00009469020034861464, 0.037697724670452515, 0.00011440222795712946 ]
[ 2381, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 7736, 10752, 4740, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 2397, 2687, 1010, 3907, 13702, 2728, 15488, 6030, 12273, 9759, 2243, 2405, 16268, 2006, 1996, 10077, 1997, 9593, 23767, 2875, 1996, 10752, 1997, 3565, 20192, 10736, 13353, 1010, 2164, 4895, 27819, 6593, 5007, 1998, 11290, 24610, 2819, 1012, 2010, 16268, 4081, 2008, 2009, 2453, 2022, 2825, 2000, 2191, 2122, 2048, 3787, 2011, 11865, 7741, 2599, 2007, 1047, 2854, 15857, 2104, 5362, 4758, 3785, 1012, 102, 101, 1999, 2639, 1010, 6950, 2012, 5623, 8256, 2120, 5911, 2081, 2224, 1997, 2122, 20932, 1998, 2623, 1996, 5456, 1997, 11290, 24610, 2819, 1998, 4895, 27819, 6593, 5007, 1010, 1999, 1037, 3259, 2405, 1999, 3558, 3319, 4144, 1010, 1998, 2200, 2574, 2044, 1996, 3463, 2020, 2988, 1999, 2671, 1012, 1996, 6950, 2988, 2000, 2031, 2864, 1996, 4668, 102, 101, 6564, 102, 101, 4029, 21638, 1009, 18512, 102, 101, 6445, 2361, 2497, 1585, 26953, 102, 101, 12963, 2226, 19098, 1009, 1050, 1585, 27054, 102, 101, 12904, 2140, 2615, 1009, 1155, 102, 101, 1996, 2206, 2095, 1010, 2027, 2405, 1037, 2128, 6494, 7542, 2044, 6950, 2012, 2060, 12030, 2020, 4039, 2000, 24473, 1996, 3463, 1998, 1996, 8256, 6845, 2993, 2001, 4039, 2000, 24473, 2068, 2004, 2092, 1012, 1999, 2238, 2526, 1010, 1996, 2472, 1997, 1996, 6845, 2623, 2008, 1996, 2434, 4366, 1997, 1996, 5456, 1997, 2122, 2048, 3787, 2018, 2042, 2241, 2006, 2951, 24212, 2011, 4054, 3166, 5125, 20801, 2615, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5456, 1027, 1027, 1027, 102, 101, 102, 101, 11290, 24610, 2819, 2001, 2034, 23572, 2006, 2251, 2539, 1010, 2456, 1010, 2043, 6529, 2012, 12931, 2532, 1006, 9743, 2099, 1007, 5968, 28037, 1037, 12731, 18802, 1030, 1011, 1030, 24568, 4539, 2007, 14613, 13853, 1030, 1011, 1030, 4466, 15956, 1012, 1037, 2309, 13787, 2001, 11156, 1010, 13121, 2075, 2011, 6541, 15760, 2007, 13121, 2943, 2184, 1030, 1012, 1030, 5139, 2033, 2615, 2000, 2019, 28846, 1997, 13109, 10624, 5737, 2819, 1012, 1996, 3463, 2020, 2405, 1999, 2285, 2456, 1012, 102, 101, 24568, 102, 101, 5986, 27487, 1009, 4466, 102, 101, 2322, 3540, 1585, 27200, 102, 101, 12904, 2140, 2615, 1008, 1585, 26953, 102, 101, 12904, 2140, 2615, 1009, 1017, 1015, 102, 101, 1014, 2078, 1585, 27054, 102, 101, 12457, 10258, 1009, 1155, 102, 101, 1996, 2684, 13109, 10624, 5737, 2819, 28846, 2018, 5144, 9844, 2216, 1997, 1037, 13109, 10624, 5737, 2819, 28846, 2034, 23572, 1999, 2238, 2639, 1010, 2029, 2001, 2761, 4137, 2000, 24841, 10258, 1010, 20242, 2019, 8775, 1997, 1996, 6687, 11290, 24610, 2819, 28846, 2000, 25797, 2140, 2615, 1012, 2101, 2147, 1999, 2285, 2526, 5393, 2008, 1996, 23572, 13109, 10624, 5737, 2819, 28846, 2001, 2941, 27054, 10258, 1010, 1998, 6516, 1996, 8775, 1997, 1996, 23572, 11290, 24610, 2819, 13787, 2001, 7978, 2135, 8776, 2000, 26953, 2140, 2615, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2346, 2000, 13964, 1027, 1027, 1027, 102, 101, 102, 101, 2048, 2582, 13353, 2020, 2988, 2011, 1996, 2820, 2076, 2037, 2117, 7551, 2076, 2258, 1516, 2089, 2541, 1012, 1999, 1996, 2168, 7551, 2027, 2036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.00002548247533739852, 0.04742955187007315, 0.00010870498915796523, 0.004246806962792166, 0.0039623988308805785, 0.006080211366645919, 0.0021281289462041037, 0.06925775148599703, 0.019362506343581498, 0.08765627437303233, 0.00015112831038597828, 0.0000035444809270526834, 0.026639300798084898, 0.006752047303129776, 0.00002003804846474934, 0.11076033130084521, 0.0001351753437566478, 0.00008794893509441326, 0.03614048006970883, 0.008559984697991555, 0.010869455661329614, 0.00007173832139475155, 1.0635786530963833e-7, 0.022022034504954574, 0.00422771227782294, 7.646855956939875e-9, 0.08636358038648075, 0.021321474319215206, 0.028948827502076373, 0.000009030553732222127, 0.002331164805561898, 0.006941426603918359, 0.04302484388499991, 0.006054150110350164, 0.0009031425261956399, 0.05160291442033665, 0.1313985952019109, 0.0006325801052616811, 0.03935499069170694, 0.01413256420669526, 0.00022235921327767356, 0.009533982031298543, 0.04295207110062132, 0.006530988854284503, 0.005135686841088691, 0.0036033732353376005, 0.001329737960422734, 0.0020274276083154775, 0.028937914309941165, 0.000008321824655915793 ]
[ 11156, 1037, 13121, 4677, 2029, 27601, 2000, 1996, 2034, 5159, 13121, 1997, 13109, 10624, 5737, 2819, 1999, 2285, 2687, 1010, 2029, 2018, 2042, 4137, 2000, 27054, 10258, 1012, 2053, 13109, 10624, 5737, 2819, 28846, 2007, 1996, 2168, 5144, 2004, 1996, 2028, 2179, 1999, 2285, 2687, 2038, 2412, 2042, 5159, 2153, 1010, 2130, 1999, 17993, 1997, 1996, 2168, 4668, 1012, 2101, 2009, 2001, 2179, 2008, 27054, 10258, 2031, 2367, 13121, 5144, 1998, 2008, 1996, 2034, 5159, 13109, 10624, 5737, 2819, 13787, 2089, 2031, 2042, 2049, 4517, 11163, 5017, 27054, 2213, 10258, 1012, 1996, 8089, 1997, 27054, 2213, 10258, 1999, 2023, 2186, 1997, 7885, 2089, 5769, 1996, 4195, 1997, 1037, 6687, 11163, 5017, 1997, 11290, 24610, 2819, 1010, 8419, 26953, 19968, 2615, 1010, 2030, 1037, 4678, 1998, 3130, 27776, 5910, 25944, 13121, 3589, 1997, 1996, 2525, 1030, 1011, 1030, 3603, 2110, 26953, 2140, 2615, 2000, 27054, 2213, 10258, 1012, 4445, 6061, 2003, 3056, 1010, 1998, 2470, 2003, 3223, 2000, 13567, 23911, 2023, 4023, 1012, 102, 101, 1996, 2136, 5567, 1996, 7551, 1999, 2258, 1516, 2089, 2384, 1998, 11156, 1022, 13353, 1997, 11290, 24610, 2819, 1012, 1996, 7594, 13121, 2951, 4484, 1996, 8775, 1997, 1996, 2034, 1030, 1011, 1030, 3603, 28846, 2004, 26953, 2140, 2615, 1012, 1999, 2023, 2448, 1010, 1996, 2136, 2036, 5159, 1996, 28846, 25797, 2140, 2615, 2005, 1996, 2034, 2051, 1012, 1999, 2582, 7885, 2013, 2432, 2000, 2294, 1010, 1996, 2136, 2999, 1996, 12731, 18802, 1030, 1011, 1030, 24568, 4539, 2007, 1996, 9442, 12731, 18802, 28846, 12731, 18802, 1030, 1011, 1030, 21005, 1012, 2182, 3350, 2001, 2179, 2005, 1996, 2048, 28846, 2015, 17222, 2140, 2615, 1998, 27173, 2140, 2615, 1012, 102, 101, 1999, 2089, 2268, 1010, 1996, 1045, 6279, 6305, 1013, 1045, 6279, 9331, 4101, 2551, 2283, 2988, 2006, 1996, 5456, 1997, 11997, 6826, 28775, 2819, 1998, 8969, 1996, 5456, 1997, 1996, 28846, 25504, 2278, 2078, 1012, 2023, 13339, 1996, 2139, 13743, 5456, 1997, 1996, 11290, 24610, 2819, 1030, 1011, 1030, 27173, 28846, 1010, 2013, 1996, 9353, 2243, 19779, 3709, 21693, 4765, 1997, 1996, 2951, 8800, 2000, 2049, 12787, 25504, 2278, 2078, 1010, 2348, 1996, 11290, 24610, 2819, 2951, 2001, 2025, 7078, 4187, 2005, 1996, 10467, 1997, 11997, 6826, 28775, 2819, 1005, 1055, 5456, 1012, 2036, 1999, 2268, 1010, 13964, 2013, 8256, 1998, 1996, 27482, 6519, 8040, 2232, 13777, 3258, 2368, 29278, 11624, 5575, 1006, 28177, 2072, 1007, 1999, 2762, 2234, 2005, 1996, 13109, 10624, 5737, 2819, 28846, 2015, 24921, 2000, 27054, 1010, 6234, 5727, 1997, 1996, 2176, 2124, 11290, 24610, 2819, 28846, 2015, 1012, 1999, 2249, 1010, 1045, 6279, 6305, 16330, 1996, 12931, 2532, 2136, 7885, 1997, 2456, 1516, 2294, 1012, 6168, 2027, 2179, 1996, 5700, 2951, 1006, 2025, 5994, 27173, 2140, 2615, 1998, 25504, 2278, 2078, 1007, 4297, 2239, 23633, 1010, 1996, 3463, 1997, 2432, 1516, 2294, 2020, 3970, 2004, 8720, 1997, 11290, 24610, 2819, 1010, 1998, 1996, 5783, 2001, 3985, 3858, 2004, 2383, 2042, 3603, 1012, 102, 101, 1999, 3522, 2086, 1010, 1996, 10752, 1997, 11290, 24610, 2819, 2038, 2042, 10329, 4484, 1999, 2048, 2060, 12030, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10324, 1027, 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, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0.000021419435467256092, 0.013310320297876875, 0.0007163225374968718, 0.02065715083329827, 3.475007740279347e-7, 0.010989434131830358, 0.0002947828376059327, 0.0004683505942137343, 0.004352204988025034, 0.00020511248005139045, 0.013168291000820427, 0.06051157516607665, 0.02403572718819994, 0.000005960422826013239, 6.603648053294813e-9, 0.07125380000791562, 0.08128442435924832, 0.0006386340901150884, 0.000048079422882203266, 0.09306084221413295, 0.00006645910759713069, 0.042959649475159435, 0.023637335119423827, 0.011252629955205973, 0.059149815494181315, 0.00012654984601309275, 0.00020033431920174987, 0.00023882322529914356, 0.024134973311353475, 0.000011084239944557576, 0.007595670671046368, 0.04037153087945821, 0.0002797850850266982, 0.04474914155048927, 0.08079970951409869, 0.00007290495264961331, 0.0000360072126403783, 0.08844669490275135, 0.06603627991949793, 0.046613182089386, 0.02348717687816996, 0.000015794924836790692, 0.0007773012043421831, 0.01613774772251857, 0.000005953943386100126, 0.00042691654666799625, 0.006788316651677071, 0.018127759429803, 0.0024260865109251703, 0.000005599204743907901 ]
[ 101, 102, 101, 2478, 2273, 9247, 4402, 2615, 1005, 1055, 23718, 2005, 13294, 1998, 6151, 2483, 3597, 25896, 3787, 1010, 11290, 24610, 2819, 2003, 2823, 2170, 23969, 2050, 1030, 1011, 1030, 11037, 14907, 1012, 1999, 3245, 1045, 6279, 6305, 6749, 2008, 1996, 2173, 14528, 11778, 5783, 2171, 4895, 4609, 5369, 9048, 2819, 1006, 2007, 1996, 7978, 6454, 1997, 1057, 27225, 1007, 2022, 2109, 2127, 1996, 5456, 1997, 1996, 5783, 2001, 4484, 1998, 1037, 2171, 2001, 2787, 1012, 2348, 4235, 2109, 1999, 1996, 5072, 2451, 2006, 2035, 3798, 1010, 2013, 6370, 12463, 2000, 3935, 18841, 1010, 1996, 11433, 2020, 3262, 6439, 2426, 6529, 1999, 1996, 2492, 1010, 2040, 2170, 2009, 1000, 5783, 12904, 1000, 1010, 2007, 1996, 6454, 1997, 1006, 12904, 1007, 2030, 2130, 3432, 12904, 1012, 102, 101, 2429, 2000, 1045, 6279, 6305, 11433, 1010, 1996, 7523, 2121, 2030, 7523, 2545, 1997, 1037, 2047, 5783, 2031, 1996, 2157, 2000, 6592, 1037, 2171, 1012, 1996, 5456, 1997, 11290, 24610, 2819, 2001, 3858, 2011, 1996, 4101, 2551, 2283, 1006, 1046, 2860, 2361, 1007, 1997, 1045, 6279, 6305, 2006, 1015, 2238, 2249, 1010, 2247, 2007, 2008, 1997, 13109, 10624, 5737, 2819, 1012, 2429, 2000, 1996, 3580, 1030, 1011, 1030, 2472, 1997, 9743, 2099, 1010, 1996, 12931, 2532, 2136, 2761, 2359, 2000, 2171, 5783, 12904, 9587, 9363, 5737, 2819, 1010, 2044, 1996, 4924, 10379, 1999, 2029, 12931, 2532, 2003, 2284, 1012, 1996, 2171, 11290, 24610, 2819, 1998, 1996, 6454, 1048, 2615, 2020, 4233, 2006, 2089, 2603, 1010, 2262, 2044, 2019, 6226, 2832, 2011, 1996, 1045, 6279, 6305, 1012, 1996, 2171, 17614, 2015, 1996, 5623, 11290, 5974, 2120, 5911, 1010, 2306, 1996, 2103, 1997, 11290, 5974, 1010, 2662, 1010, 3915, 1010, 2029, 8678, 2007, 9743, 2099, 2006, 1996, 5456, 1012, 1996, 2103, 1999, 2735, 2003, 2315, 2044, 1996, 2137, 8086, 2121, 2728, 11290, 5974, 1010, 1037, 27558, 4916, 6926, 1997, 2394, 4182, 1012, 102, 101, 102, 101, 1027, 1027, 10173, 5144, 1027, 1027, 102, 101, 102, 101, 102, 101, 1027, 1027, 1027, 4517, 9211, 1998, 28846, 2015, 1027, 1027, 1027, 102, 101, 102, 101, 11290, 24610, 2819, 2003, 3517, 2000, 2022, 2379, 2019, 2479, 1997, 9211, 8857, 2006, 11997, 6826, 28775, 2819, 1006, 5783, 11176, 1007, 1998, 13109, 10624, 5737, 2819, 1006, 5783, 12457, 1007, 1012, 1996, 4436, 2005, 1996, 3739, 1997, 2023, 2479, 2024, 2145, 2025, 2092, 5319, 1012, 2349, 2000, 1996, 3517, 2152, 27521, 13500, 1010, 2151, 13502, 2306, 2023, 2479, 1997, 9211, 7580, 13121, 2015, 2011, 6541, 13121, 1998, 3383, 2070, 10496, 5425, 1998, 8247, 13121, 1012, 2096, 1996, 2124, 28846, 2015, 1997, 11290, 24610, 2819, 2079, 2025, 2941, 2031, 2438, 20393, 2015, 2000, 2022, 2006, 1996, 2479, 1997, 9211, 1010, 2027, 2064, 2022, 2464, 2000, 3921, 1996, 2479, 2004, 1999, 2236, 1010, 1996, 11907, 28846, 2015, 2024, 1996, 2936, 1030, 1011, 1030, 2973, 3924, 1012, 102, 101, 3565, 20192, 10736, 3787, 2024, 2550, 2011, 4517, 10077, 1012, 2122, 10077, 9597, 2064, 2022, 4055, 2046, 1000, 2980, 1000, 1998, 1000, 3147, 1000, 10077, 1010, 5834, 2006, 1996, 4654, 26243, 3370, 2943, 1997, 1996, 7328, 13502, 2550, 1012, 1999, 2980, 10077, 9597, 1010, 2200, 2422 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.026502268153671796, 0.012296870962227955, 0.011771628572713069, 0.000011080506751115178, 0.04589070648390023, 0.0002243844638101949, 0.013852738637436458, 0.0009505165059577549, 0.01342950463978513, 0.011971554862531639, 0.01828938116260048, 0.07712443894661761, 0.000352955484802607, 0.0006707552572506759, 0.0034703769738270228, 0.0007993630825882525, 0.0007521888419037144, 0.04987901449551629, 0.002561097214636221, 0.0005312938739126903, 0.0001053955112885544, 0.11639024774581741, 0.011541212059553572, 0.16292240701869976, 0.001215448096678024, 0.000017256900037230395, 0.000531882288691058, 0.002053672531224812, 0.03859708987179558, 0.00001465578412838406, 0.00010236009707451011, 0.002039494373396655, 0.004979484804816972, 0.00013018088524286242, 0.0012883483335532177, 0.002463159264908701, 0.00007078969404603042, 0.0026939985992345305, 0.01133506307294834, 0.000857252626876501, 0.09257577874675788, 9.67958733442153e-9, 0.029272193272109347, 0.015832703438065247, 0.04844633192731881, 0.00003893392475989666, 0.06306998717065325, 0.09034574266412661, 0.009055050224933726, 0.000681750269234321 ]
[ 1010, 2152, 1030, 1011, 1030, 2943, 25921, 2015, 2024, 14613, 2646, 2200, 3082, 7889, 1006, 2552, 5498, 6155, 1007, 1010, 3228, 4125, 2000, 7328, 23767, 2012, 2152, 4654, 26243, 3370, 2943, 1006, 1066, 2871, 1516, 2753, 2033, 2615, 1007, 2008, 2089, 2593, 27521, 2030, 9345, 17822, 3686, 2195, 1006, 1017, 2000, 1019, 1007, 20393, 2015, 1012, 1999, 3147, 10077, 9597, 1006, 2029, 2224, 11907, 25921, 2015, 1010, 4050, 2013, 1996, 2959, 2558, 1010, 1998, 9442, 7889, 1010, 2788, 2599, 1998, 20377, 28120, 2232, 1007, 1010, 1996, 2550, 19660, 23767, 2031, 1037, 4659, 2659, 4654, 26243, 3370, 2943, 1006, 1066, 2184, 1516, 2322, 2033, 2615, 1007, 1010, 2029, 17913, 1996, 9723, 2008, 2122, 3688, 2097, 13595, 27521, 9597, 1012, 2004, 1996, 19660, 23767, 4658, 2000, 1996, 2598, 2110, 1010, 2027, 5478, 15760, 1997, 2069, 2028, 2030, 2048, 20393, 2015, 1012, 2980, 10077, 9597, 7166, 2000, 3965, 2062, 20393, 1030, 1011, 1030, 4138, 3688, 2138, 1996, 2552, 5498, 6155, 2031, 1996, 3284, 20393, 1030, 1011, 1030, 2000, 1030, 1011, 1030, 20843, 21879, 1997, 2151, 3787, 2008, 2064, 12825, 2022, 2081, 1999, 26632, 24895, 12450, 1012, 102, 101, 2590, 2592, 2071, 2022, 4227, 4953, 1996, 5144, 1997, 3565, 20192, 10736, 23767, 2011, 1996, 10752, 1997, 2062, 11290, 24610, 2819, 28846, 2015, 1010, 4919, 2216, 2007, 1037, 2261, 20393, 2015, 2062, 2030, 2625, 2084, 1996, 2124, 3924, 1516, 24921, 2140, 2615, 1010, 23090, 2140, 2615, 1010, 24841, 2140, 2615, 1010, 27054, 2140, 2615, 1010, 28135, 2140, 2615, 1010, 1998, 21679, 2140, 2615, 1012, 2023, 2003, 2825, 2138, 2045, 2024, 2116, 16286, 2146, 1030, 1011, 1030, 2973, 28846, 2015, 1997, 12731, 18802, 2008, 2064, 2022, 2109, 2000, 2191, 1037, 4539, 1012, 1996, 2422, 28846, 2015, 2064, 2022, 2081, 2011, 11865, 7741, 12731, 18802, 1030, 1011, 1030, 22884, 2007, 13853, 1030, 1011, 1030, 4466, 1012, 2027, 2052, 13595, 1037, 4677, 1997, 6541, 13121, 2015, 1010, 4566, 2012, 9099, 18908, 5498, 3207, 28846, 2015, 2008, 2024, 2205, 2422, 2000, 6162, 2011, 2980, 10077, 1998, 2205, 3082, 2000, 2022, 2550, 2011, 3147, 10077, 1012, 102, 101, 1996, 10752, 1997, 28135, 2140, 2615, 1998, 21679, 2140, 2615, 2071, 2022, 8885, 2011, 11865, 7741, 1996, 3082, 12731, 18802, 28846, 12731, 18802, 1030, 1011, 1030, 5539, 2007, 13853, 1030, 1011, 1030, 4466, 1012, 1996, 2892, 2930, 1997, 2023, 4517, 4668, 2052, 2022, 2055, 1015, 27263, 16429, 2906, 2078, 1012, 2044, 1037, 2261, 6541, 13121, 2015, 1010, 2122, 11290, 24610, 2819, 28846, 2015, 2052, 3362, 16371, 20464, 8621, 2012, 1996, 2240, 1997, 8247, 9211, 1012, 5678, 1010, 10496, 5425, 2089, 2036, 2468, 2019, 2590, 13121, 5549, 1999, 2023, 2555, 1010, 4352, 5360, 23767, 2000, 3362, 1996, 2690, 1997, 1996, 2479, 1012, 2005, 2742, 1010, 21679, 2140, 2615, 2052, 6541, 13121, 2000, 27173, 10258, 1010, 2029, 2052, 13595, 11165, 10496, 5425, 2000, 27173, 2226, 4904, 1998, 2059, 27173, 2278, 2078, 2029, 2003, 3517, 2000, 2022, 1999, 1996, 2690, 1997, 1996, 2479, 1997, 9211, 1998, 2031, 1037, 2431, 1030, 1011, 1030, 2166, 1997, 2055, 14840, 2086, 1010, 8984, 2075, 1996, 2087, 3497, 3246, 1997, 4285, 1996, 2690, 1997, 1996, 2479, 2478, 2783, 2974, 1012, 1037, 4009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.06399388985758984, 0.02011136512344658, 0.0010317232277736287, 0.0000029322405045142253, 0.0009818282008422741, 0.000006474266191065453, 0.003343877927552634, 0.04467280393445086, 0.010374217009019802, 0.026400478149307138, 0.004775837949681741, 0.1575602622761224, 0.009713343011122077, 0.014437429101598563, 0.01053046638732849, 0.03745991704915292, 0.0058566484510900125, 0.0223517334450172, 0.016236616483214127, 0.0008783322182355705, 7.037149110153278e-9, 0.000016692082129756262, 0.012194928460910455, 0.02116932692053895, 7.037149110153278e-9, 0.00035470688367431687, 0.09964364681754145, 0.001374658971407538, 0.06174069673957465, 0.00003217816159451476, 0.04365513223266647, 0.0009092434141031961, 0.00007764243330710389, 0.029507520526758927, 0.008979847242448206, 0.02470768287997436, 0.037468970833667875, 0.09753998419035442, 0.0001246949669040081, 0.06291567071563696, 0.0015163082042556838, 0.0016940209276211896, 0.000010823620152225775, 0.005113635379576062, 0.002749027134389825, 0.000003310658164721052, 0.010071901495949553, 0.000028249143745034854, 0.025629083610076455, 0.00005022496933636901 ]
[ 5963, 2003, 2008, 1996, 13121, 5144, 1997, 3565, 20192, 10736, 23767, 2023, 2485, 2000, 1996, 2240, 1997, 8247, 9211, 2024, 4321, 16655, 2595, 24759, 19574, 1012, 102, 101, 2060, 12020, 2000, 24203, 2229, 4697, 23767, 2006, 1996, 2479, 1997, 9211, 2421, 17982, 8873, 28231, 1006, 7704, 10077, 2628, 2011, 27521, 1007, 1997, 1037, 5294, 13502, 1012, 2107, 23767, 7166, 2000, 27521, 1010, 4654, 11880, 2989, 2079, 12083, 2135, 3894, 2030, 3053, 2079, 12083, 2135, 3894, 10341, 2107, 2004, 13853, 1030, 1011, 1030, 2871, 1010, 9543, 1030, 1011, 1030, 14078, 1010, 2599, 1030, 1011, 1030, 18512, 1010, 2030, 20377, 28120, 2232, 1030, 1011, 1030, 19348, 1012, 3728, 2009, 2038, 2042, 3491, 2008, 1996, 4800, 1030, 1011, 1030, 16371, 14321, 2239, 4651, 9597, 1999, 28820, 1997, 2552, 5498, 3207, 23767, 1006, 2107, 2004, 14247, 1998, 12731, 18802, 1007, 2453, 2022, 2109, 2000, 24203, 2229, 4697, 1996, 20393, 1030, 1011, 1030, 4138, 3565, 20192, 10736, 23767, 2284, 2012, 1996, 2479, 1997, 9211, 1010, 2348, 4195, 1997, 1996, 9442, 3787, 10501, 5007, 2030, 2712, 11755, 5007, 2003, 2062, 12287, 1012, 2028, 2197, 6061, 2000, 24203, 2229, 4697, 28846, 2015, 2379, 1996, 2479, 2003, 2000, 2224, 4758, 4517, 18217, 2000, 3443, 1037, 20393, 19251, 2152, 2438, 2000, 11826, 1996, 16680, 1997, 18549, 2012, 24398, 1516, 13539, 16715, 1998, 2012, 3742, 2193, 17528, 1006, 9593, 3616, 9645, 2000, 10715, 1007, 1010, 23150, 6834, 1996, 1054, 1030, 1011, 1030, 2832, 1999, 2029, 1996, 2552, 5498, 6155, 2020, 2034, 2550, 1999, 3267, 1998, 1996, 6578, 1997, 18549, 2105, 10958, 5280, 27539, 1012, 2070, 2107, 28846, 2015, 1006, 2926, 27173, 2278, 2078, 1998, 26953, 2278, 2078, 1007, 2089, 2130, 2031, 2042, 23572, 1999, 3267, 1010, 2021, 2052, 2031, 13121, 2098, 2185, 2521, 2205, 2855, 1006, 2007, 2431, 1030, 1011, 1030, 3268, 1997, 2069, 5190, 1997, 2086, 1007, 1998, 2022, 2550, 1999, 2521, 2205, 2235, 12450, 1006, 2055, 2184, 1597, 2260, 1996, 14531, 1997, 2599, 1007, 2000, 2022, 11487, 3085, 2004, 26927, 5302, 25070, 16371, 20464, 8621, 2651, 2648, 14448, 9938, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 3558, 1998, 9593, 1027, 1027, 1027, 102, 101, 102, 101, 1999, 1996, 15861, 2795, 1010, 11290, 24610, 2819, 2003, 1037, 2266, 1997, 2177, 2385, 1010, 1996, 15775, 22499, 21230, 1010, 1999, 1996, 15861, 2795, 1010, 2917, 7722, 1010, 17864, 1010, 7367, 7770, 5007, 1010, 2425, 9496, 2819, 1010, 1998, 11037, 14907, 1012, 2296, 3025, 15775, 22499, 6914, 2038, 2416, 15057, 1999, 2049, 10380, 5897, 5806, 1010, 5716, 1037, 10380, 5897, 10496, 9563, 1997, 24978, 2475, 16275, 2549, 1012, 1999, 11290, 24610, 2819, 1005, 1055, 2553, 1010, 1996, 9874, 2323, 2022, 2506, 1998, 1996, 10380, 5897, 10496, 9563, 2003, 10173, 2000, 2022, 1021, 2015, 22907, 2361, 2549, 1025, 3568, 1010, 11290, 24610, 2819, 2097, 2031, 2070, 12319, 2000, 2049, 9442, 26478, 24454, 2015, 1012, 5966, 2024, 3497, 2000, 13368, 1025, 1037, 2312, 8020, 3466, 2003, 1996, 6714, 1516, 8753, 1006, 2061, 1007, 8290, 1517, 1996, 8203, 8290, 2090, 1996, 15057, 1005, 4367, 1998, 6714, 1012, 2009, 2003, 2926, 2844, 2005, 1996, 3565, 20192, 10736, 3787, 1010, 2138, 2037, 15057, 2693, 2172, 5514, 2084, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.002609755887552002, 0.030316739865846588, 0.06088642857929015, 0.0003828628915725772, 0.033330614428179486, 0.0004602397672589236, 0.0003929776383411161, 0.04851990358764973, 0.06708895153219403, 0.00000388096994581944, 0.016524711837597888, 0.006808232841100868, 0.09489968103929482, 0.05778795363784294, 0.025845430222068578, 0.000057294303948585475, 0.000007402595012373745, 0.010646237686290553, 0.04209194352514441, 0.005410437297462258, 0.06888999546315609, 0.031603226480003604, 0.00005773261187272575, 0.009514996352655828, 0.034406854320194226, 0.00994948035066826, 0.00012922727183834587, 0.005787953953449701, 0.000027011316221758562, 6.664187588884343e-9, 0.0004902115144190449, 0.016932966200456357, 0.00018693815059474486, 0.006352072023944088, 0.001372615320304936, 1.7881548315642572e-8, 0.003043979066766882, 0.0033923249452730733, 0.041071942992968326, 0.00004914354121358832, 0.07252633946260328, 0.00005297223688643851, 0.0000983057341973227, 0.00003824539587430502, 0.03225137618460196, 0.000603020250475538, 0.0004019906520339053, 0.06299137360716547, 0.004864398580254591, 0.08884160134057595 ]
[ 9442, 13353, 1010, 2012, 2310, 4135, 26243, 3111, 12435, 2000, 1996, 3177, 1997, 2422, 1012, 1999, 7189, 2000, 11290, 24610, 2819, 13353, 1010, 2009, 24950, 1996, 1021, 2015, 1998, 1996, 1021, 2361, 10496, 2943, 3798, 1006, 17079, 18622, 6774, 1996, 7978, 15057, 1007, 1010, 2021, 2048, 1997, 1996, 1021, 2361, 10496, 2943, 3798, 2024, 27697, 2062, 2084, 1996, 2060, 2176, 1012, 1996, 28715, 1997, 1996, 1021, 2015, 15057, 2003, 2170, 1996, 1999, 8743, 3940, 3466, 1010, 1998, 1996, 3466, 1000, 13311, 1000, 1996, 1021, 2361, 4942, 4095, 5349, 2046, 1996, 2062, 27697, 1998, 1996, 2625, 27697, 3033, 2003, 2170, 4942, 4095, 5349, 14541, 1012, 22334, 15535, 2015, 2156, 1996, 3975, 2004, 1037, 2689, 1997, 1996, 2117, 1006, 17207, 5714, 14317, 2389, 1007, 8559, 2193, 1048, 2013, 1015, 2000, 1015, 1535, 1016, 1998, 1017, 1535, 1016, 2005, 1996, 2062, 27697, 1998, 2625, 27697, 3033, 1997, 1996, 1021, 2361, 4942, 4095, 5349, 1010, 4414, 1024, 1996, 1021, 2361, 2487, 1013, 1016, 4942, 4095, 5349, 4490, 2004, 1037, 2117, 1999, 8743, 3940, 1010, 2295, 2025, 2004, 1999, 8743, 2004, 1996, 1021, 2015, 15057, 1010, 2096, 1996, 1021, 2361, 2509, 1013, 1016, 4942, 4095, 5349, 2064, 4089, 5589, 1999, 6370, 1012, 2005, 2116, 9373, 5682, 1010, 1996, 10380, 5897, 10496, 9563, 2089, 2022, 3421, 2000, 8339, 1996, 1021, 2361, 4942, 4095, 5349, 3975, 2004, 1021, 2015, 22907, 2361, 2475, 102, 101, 1015, 1013, 2676, 2361, 2475, 102, 101, 1017, 1013, 1016, 1012, 102, 101, 1996, 1999, 8743, 3940, 3896, 1999, 11290, 24610, 2819, 2323, 2022, 2130, 6428, 2084, 2005, 11037, 14907, 1998, 6516, 1996, 1009, 1016, 19577, 2110, 4150, 2062, 6540, 2084, 1996, 1009, 1018, 2110, 1010, 2029, 2052, 2022, 27697, 2069, 2011, 1996, 2087, 10496, 29107, 6024, 27854, 2015, 1025, 2023, 2003, 7686, 1999, 1996, 3517, 10163, 3989, 19320, 1997, 11290, 24610, 2819, 1010, 2073, 2045, 2024, 2312, 16680, 2090, 1996, 2117, 1998, 2353, 10163, 3989, 19320, 1006, 7978, 2000, 1996, 12510, 2075, 1997, 1996, 4895, 16416, 15277, 1021, 2361, 2487, 1013, 1016, 5806, 1007, 1998, 2959, 1998, 3587, 10163, 3989, 19320, 1012, 5262, 1010, 1996, 1021, 2015, 15057, 2024, 3517, 2000, 2022, 2061, 1999, 8743, 2008, 1996, 1009, 1020, 2110, 2097, 2025, 2022, 2825, 2000, 18759, 1012, 1996, 13721, 1998, 16018, 2685, 1997, 11290, 24610, 2819, 2024, 3517, 2000, 3613, 1996, 12878, 2091, 1996, 15775, 22499, 21230, 1025, 2947, 11290, 24610, 2819, 2323, 14899, 2012, 1037, 3020, 4860, 2084, 11037, 14907, 1010, 2021, 26077, 2012, 1037, 2896, 4860, 1012, 2009, 2323, 2036, 2022, 9742, 2099, 2084, 11037, 14907, 1006, 1048, 2615, 1024, 2260, 1030, 1012, 1030, 1023, 1043, 1013, 4642, 2509, 1025, 1155, 1030, 1011, 1030, 13433, 1024, 1023, 1030, 1012, 1030, 1016, 1043, 1013, 4642, 2509, 1007, 1012, 1996, 10496, 1997, 1996, 9732, 1030, 1011, 1030, 2066, 11290, 24610, 2819, 13787, 1006, 23060, 28173, 5422, 2061, 2008, 2009, 2069, 2038, 2028, 10496, 1010, 1048, 2615, 14526, 2629, 1009, 1007, 2003, 3517, 2000, 2693, 2061, 3435, 2008, 2009, 2038, 1037, 3742, 1015, 1030, 1012, 1030, 6564, 2335, 2008, 1997, 1037, 17337, 10496, 1010, 2349, 2000, 2128, 20051, 21997, 2594, 3896, 1012, 2005, 7831, 1010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.07629516393303945, 0.00002237499311050412, 0.022512271281170844, 0.035447721061276014, 0.15013411562045423, 0.005009601275657035, 0.017027161066704644, 0.00006275963436912932, 0.0008320186101668327, 0.0021574697319005787, 0.021797622513663777, 0.0352007744811882, 0.00009995302355657269, 0.043974090238000585, 0.0013642734691607624, 0.0014342264500853328, 0.004949989660568824, 0.00018254155361706114, 0.04427276795085578, 0.0007162462154256852, 0.000009823435768529867, 0.000794306502722498, 0.021715193965687968, 0.003177991105112948, 0.000005204297595239943, 0.07536558528977601, 0.012385069458980184, 0.000009212585207023303, 0.0008311543387772074, 0.00004943580480248905, 6.476165428483452e-7, 0.07103856819315907, 0.0025391399504898424, 0.06837515373508987, 0.006455690556774281, 0.08512932690182329, 0.010201130014961722, 0.00612665234214689, 0.013365004298663474, 0.0028438950212875077, 0.022654782316355756, 0.029837526744088422, 0.0003835804158998467, 0.0003070349952254812, 0.003143824841811305, 0.09890063654146256, 0.00001675586350531749, 0.00011874970976397064, 0.0001854915221475874, 0.000540288870399126 ]
[ 1996, 4481, 2005, 9732, 1030, 1011, 1030, 2066, 11037, 14907, 1998, 2425, 9496, 2819, 2024, 3517, 2000, 2022, 1015, 1030, 1012, 1030, 2656, 1998, 1015, 1030, 1012, 1030, 5511, 2692, 4414, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 5072, 1027, 1027, 1027, 102, 101, 102, 101, 11290, 24610, 2819, 2003, 11310, 2000, 2022, 1996, 2959, 2266, 1997, 1996, 1021, 2361, 2186, 1997, 5072, 3787, 1998, 1996, 26858, 2266, 1997, 2177, 2385, 1006, 3081, 1007, 1999, 1996, 15861, 2795, 1010, 2917, 11037, 14907, 1012, 2096, 2009, 2003, 1996, 2560, 22634, 3273, 1997, 1996, 1021, 2361, 3787, 1010, 2049, 6370, 2003, 3517, 2000, 2022, 3243, 2714, 2000, 2008, 1997, 11037, 14907, 1012, 1996, 2177, 19577, 2110, 1997, 1009, 1020, 2003, 2124, 2005, 2035, 1996, 15775, 22499, 21230, 4237, 2013, 7722, 2029, 14087, 2800, 1040, 1030, 1011, 1030, 13943, 2015, 2005, 4935, 1997, 2049, 13323, 3388, 1998, 2003, 2993, 2028, 1997, 1996, 10473, 23060, 28173, 6774, 6074, 2426, 1996, 5072, 3787, 1012, 7722, 2003, 2947, 3132, 2000, 1037, 4555, 1009, 1016, 2110, 1010, 8176, 1999, 1996, 19857, 10050, 3207, 1997, 2475, 1012, 1996, 1009, 1018, 2110, 2003, 2124, 2005, 17864, 1010, 7367, 7770, 5007, 1010, 2425, 9496, 2819, 1010, 1998, 11037, 14907, 1010, 14996, 1037, 5670, 1999, 9211, 2013, 8161, 2005, 17864, 1006, 4921, 1007, 1998, 7367, 7770, 5007, 1006, 4921, 1007, 2083, 2108, 1996, 2087, 6540, 2110, 2005, 2425, 9496, 2819, 1006, 4921, 1007, 2000, 2108, 23060, 28173, 6774, 1999, 11037, 14907, 1006, 4921, 1007, 1012, 2023, 6083, 1037, 16922, 9211, 2005, 1996, 3020, 19577, 2163, 2004, 1996, 2177, 2003, 9287, 2349, 2000, 1996, 4852, 5197, 1997, 2128, 20051, 21997, 2594, 3896, 1010, 2926, 1996, 1999, 8743, 3940, 3466, 1012, 1996, 2087, 6540, 19577, 2110, 1997, 11290, 24610, 2819, 2323, 2947, 2022, 1009, 1016, 1010, 2007, 1037, 2738, 14480, 1009, 1018, 2110, 1012, 1996, 1009, 1016, 2110, 2323, 2022, 2055, 2004, 3733, 2000, 2433, 2004, 2009, 2003, 2005, 2022, 23320, 21816, 1998, 24983, 1010, 1998, 1996, 1009, 1018, 2110, 2323, 2069, 2022, 4719, 2007, 6118, 10496, 29107, 6024, 27854, 2015, 1010, 2107, 2004, 1999, 11290, 24610, 2819, 1006, 4921, 1007, 19857, 10050, 3207, 1006, 1048, 2615, 2546, 2549, 1007, 1012, 1996, 1009, 1020, 2110, 2323, 2025, 4839, 2012, 2035, 2349, 2000, 1996, 2200, 2844, 28715, 1997, 1996, 1021, 2015, 15057, 1010, 2437, 1996, 10380, 5897, 4563, 1997, 11290, 24610, 2819, 2069, 2176, 15057, 1012, 1996, 9442, 15775, 22499, 21230, 2024, 2036, 2124, 2000, 2433, 1037, 1597, 1016, 2110, 2004, 15772, 1010, 21396, 20740, 1010, 7367, 7770, 5178, 1010, 2425, 9496, 3207, 1010, 1998, 11037, 3490, 3207, 1025, 2349, 2000, 1996, 4078, 2696, 14454, 3989, 1997, 11290, 24610, 2819, 1005, 1055, 1021, 2361, 2509, 1013, 1016, 4942, 4095, 5349, 1010, 1996, 1597, 1016, 2110, 2323, 2022, 2200, 14480, 2005, 11290, 24610, 2819, 1010, 3005, 6370, 2323, 2022, 7687, 4937, 3258, 2594, 1010, 2295, 1996, 3469, 4942, 4095, 5349, 1998, 6714, 2953, 2943, 14541, 2015, 1997, 11290, 24610, 2819, 2004, 4102, 2000, 11037, 14907, 2323, 27790, 1048, 2615, 2475, 1597, 3621, 1012, 102, 101, 11290, 22122, 2638, 1006, 1048, 2615, 2232, 2475, 1007, 2052, 2022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00003766509918517407, 0.006562688818600087, 0.015196278651001245, 0.08920590408526789, 0.056994856879083684, 2.2414224343582487e-7, 0.0026254051250157538, 0.0006618710164612608, 0.004719966034192765, 0.01142385906564983, 0.064402003663331, 6.973316699016282e-7, 0.00003184095465833378, 0.000004081273328607405, 0.050070181521614125, 0.00001250190769701124, 0.0004515351943732348, 0.000007939563658562516, 0.000009228680248686673, 8.04357364716229e-9, 0.000136943895176277, 0.004823412900804614, 0.045476302427529335, 0.015195156498591423, 0.09993251283056938, 0.008546367668091243, 0.002950122481986167, 0.04117508849233727, 8.04357364716229e-9, 0.012150174178055228, 0.09296405240342288, 0.039615160825025454, 0.056542523395580996, 0.000015917272344511926, 0.001477900750688602, 2.2312661935145846e-7, 0.0804692784183858, 0.006281913144714095, 0.0014830925545038873, 0.02985586420483555, 0.000033850657034208754, 0.00013012120358567671, 0.07055191496243465, 0.0012646090621079784, 0.01922949757640155, 0.017714590738904117, 3.1450865852297967e-8, 0.0018339006836825588, 0.04728876919175773, 0.0004419619095356402 ]
[ 1996, 26858, 15775, 22499, 6914, 1044, 25688, 15637, 1998, 1996, 26858, 24004, 21197, 1997, 2300, 1006, 1996, 9442, 3924, 2108, 1044, 2475, 2015, 1010, 1044, 2475, 3366, 1010, 1044, 2475, 2618, 1010, 1998, 13433, 2232, 2475, 1007, 1012, 14955, 7231, 1006, 11037, 14907, 1044, 25688, 15637, 1007, 2003, 1037, 2062, 2522, 24879, 7328, 2084, 2087, 3384, 1044, 25688, 15637, 2015, 2138, 11037, 14907, 2358, 12173, 27822, 1996, 3675, 2090, 11970, 1998, 3384, 27710, 2015, 1998, 2038, 2070, 2512, 11368, 8095, 2594, 5144, 1024, 2009, 2003, 7783, 2090, 1037, 9732, 11085, 5178, 2066, 9732, 19057, 1006, 16731, 2140, 1007, 1998, 1037, 3384, 1044, 25688, 15637, 2066, 9761, 7229, 2063, 1006, 1055, 25311, 2549, 1007, 1012, 11290, 22122, 2638, 2323, 3613, 2023, 9874, 1024, 2009, 2323, 2022, 1037, 1044, 25688, 15637, 2738, 2084, 1037, 11290, 24610, 3207, 1010, 2021, 2052, 2145, 2022, 1037, 2522, 24879, 8382, 7328, 1012, 6714, 1030, 1011, 1030, 8753, 10266, 2024, 3517, 2000, 2191, 1996, 1048, 2615, 1516, 1044, 5416, 2936, 2084, 3517, 3432, 2013, 15861, 12878, 2894, 1010, 1998, 2191, 1996, 1044, 1516, 1048, 2615, 1516, 1044, 5416, 6466, 3469, 2084, 3517, 1024, 2023, 2003, 14833, 18425, 2000, 2022, 2138, 1996, 27776, 9468, 6279, 6340, 1022, 2015, 13943, 2015, 2024, 4659, 2659, 1999, 2943, 1998, 2064, 8893, 4697, 2007, 1996, 10380, 5897, 1021, 2361, 13943, 2015, 1997, 11290, 24610, 2819, 1012, 2023, 2003, 1996, 2034, 13922, 2000, 2022, 3273, 1999, 6987, 2000, 4653, 2023, 9575, 1010, 9188, 1000, 3565, 24879, 8893, 3989, 1000, 1010, 2348, 2009, 2001, 3041, 10173, 2008, 1996, 2168, 9575, 2052, 5258, 2007, 3787, 16734, 1516, 17943, 1010, 2029, 2052, 2224, 1021, 2094, 1516, 1023, 2015, 1516, 1023, 2361, 2487, 1013, 1016, 8893, 22318, 2750, 2069, 1996, 1021, 2094, 1006, 1998, 5681, 1023, 2015, 1007, 13943, 2015, 2108, 6822, 3561, 1012, 1996, 11907, 11290, 24610, 2819, 4487, 8865, 8621, 2024, 10173, 2000, 2022, 7399, 1010, 2021, 1996, 9442, 3924, 2024, 10173, 2000, 2022, 6260, 1012, 102, 101, 102, 101, 1027, 1027, 6388, 6370, 1027, 1027, 102, 101, 102, 101, 14477, 14905, 8004, 8918, 9128, 1997, 1996, 5072, 6459, 1997, 11290, 24610, 2819, 2038, 2025, 2664, 2042, 2511, 1012, 1999, 2249, 1010, 7885, 2020, 4146, 2000, 3443, 4895, 16671, 18802, 1010, 13109, 10624, 5737, 2819, 1010, 1998, 4895, 4609, 11837, 16398, 28846, 2015, 1999, 1996, 9597, 2090, 13853, 1030, 1011, 1030, 4466, 25921, 2015, 1998, 7889, 1997, 2572, 22420, 5007, 1030, 1011, 1030, 22884, 1998, 26930, 14907, 1030, 1011, 1030, 24194, 1012, 1996, 7889, 2443, 2599, 1998, 20377, 28120, 2232, 17727, 29366, 1998, 6516, 2070, 28846, 2015, 1997, 20377, 28120, 2232, 1998, 11037, 14907, 2020, 7013, 1999, 16371, 14321, 2239, 4651, 9597, 1012, 2023, 1010, 2096, 2019, 4895, 29278, 6810, 2368, 4012, 21557, 1010, 2071, 2507, 2592, 2008, 2052, 2393, 1999, 1996, 2925, 5072, 4812, 1997, 1996, 11907, 24004, 21197, 2015, 1997, 20377, 28120, 2232, 1998, 11037, 14907, 1010, 2029, 2024, 4414, 4895, 4609, 11837, 16398, 1998, 11290, 24610, 2819, 1012, 1996, 2550, 16371, 20464, 8621, 20377, 28120, 2232, 1030, 1011, 1030, 19883, 1998, 11037, 14907, 1030, 1011, 1030, 18164, 2213, 2020, 9687, 2004, 1996, 1044, 25688 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ]
[ 0.011779515671443528, 0.001517485229588192, 0.000016567760220964328, 0.00001196038665001314, 0.000253691755051498, 0.07839346614996116, 0.023660073883401703, 0.0008439217050338625, 0.000899887034137801, 0.036265510861570635, 0.0005612213365841929, 0.026858801065244065, 0.0006186071566341118, 0.11081831568005143, 0.004894238547212733, 0.0010267249471859646, 0.014270076292763733, 0.044970587349654575, 0.07424212706689164, 0.011437230454072153, 0.000247469245414045, 0.0009353907680431518, 0.000015663516989804976, 0.0005655504930934823, 0.07555471156700236, 0.04046862187405549, 0.00002455407778884421, 0.00004987374662462807, 0.00009000598734838345, 0.0005397957925781392, 0.07530439089418053, 0.0010145946674254339, 0.007856456184406745, 0.000214472437976118, 0.08163486967980046, 0.0558309935219983, 0.0006347562541206061, 0.000005791036319916201, 0.00862132955561631, 0.00855118651647994, 0.006135663177900104, 0.030906967565918257, 0.00021821266566902334, 0.00979182233801598, 0.004081011875960471, 0.01657382216810481, 0.0009550441898292816, 0.0982301525550214, 0.030774994983791906, 0.0008318203291719103 ]
[ 15637, 2015, 19883, 5638, 2232, 2509, 1998, 18164, 8737, 11631, 2475, 2012, 15678, 1080, 1039, 2083, 1037, 20971, 12121, 11307, 3131, 2218, 2007, 9092, 9080, 2819, 1010, 4760, 2008, 2122, 1044, 25688, 15637, 2015, 2020, 10889, 9829, 2135, 6540, 1010, 2348, 2037, 11907, 26478, 24454, 2015, 1057, 6279, 2232, 2509, 1998, 1048, 2615, 2232, 2475, 2052, 2022, 3517, 2000, 2022, 2625, 9829, 2135, 6540, 2013, 3722, 4469, 18155, 3370, 1997, 15861, 12878, 1999, 1996, 1052, 1030, 1011, 1030, 3796, 1012, 2582, 16268, 2006, 1996, 9211, 1998, 4816, 3252, 1997, 12170, 2232, 2509, 1010, 1057, 6279, 2232, 2509, 1010, 13433, 2232, 2475, 1010, 1998, 1048, 2615, 2232, 2475, 2024, 2734, 2077, 5072, 9751, 2202, 2173, 1012, 4895, 4609, 11837, 16398, 1998, 11290, 24610, 2819, 2024, 3517, 2000, 2022, 20606, 2438, 2004, 5760, 3787, 2005, 2068, 2000, 2022, 5072, 2135, 10847, 1999, 1996, 2379, 2925, 1010, 1037, 3200, 11290, 24610, 2819, 2052, 2059, 3745, 2007, 2049, 9442, 26478, 24454, 11037, 14907, 1012, 1996, 2708, 8803, 2000, 2037, 5072, 4812, 2012, 2556, 2003, 1996, 3768, 1997, 2124, 28846, 2015, 1997, 2122, 3787, 2029, 2024, 2146, 1030, 1011, 1030, 2973, 2438, 1012, 102, 101, 102, 101, 102, 101, 1027, 2137, 2317, 21307, 2483, 1027, 102, 101, 102, 101, 1996, 2137, 2317, 21307, 2483, 1006, 7327, 3527, 6895, 7606, 2632, 8286, 1007, 2003, 1037, 2427, 1997, 4743, 1999, 1996, 21307, 2483, 2155, 1010, 16215, 6072, 3211, 9691, 8939, 6096, 1012, 2009, 2003, 2179, 2013, 2167, 3792, 3081, 1996, 6084, 3023, 1997, 1996, 2142, 2163, 2148, 2083, 2087, 1997, 1996, 5780, 2047, 2088, 19817, 7361, 6558, 1012, 2023, 3327, 21307, 2483, 2003, 1037, 5396, 1030, 1011, 1030, 7451, 4743, 2007, 2019, 3452, 2317, 28764, 1010, 4408, 2417, 1030, 1011, 1030, 4589, 2091, 1030, 1011, 1030, 9203, 3021, 1998, 2146, 3456, 1010, 1998, 2304, 3358, 10247, 2008, 2024, 2788, 2069, 5710, 1999, 3462, 1012, 3767, 2024, 3469, 1998, 2031, 2936, 8236, 2084, 3801, 1012, 1996, 8119, 2846, 3216, 2247, 1996, 6084, 1998, 4448, 3023, 1010, 1998, 1996, 20266, 1997, 3290, 1998, 2430, 2637, 1012, 2648, 1996, 8119, 2558, 1010, 1996, 2846, 8908, 2582, 9514, 1999, 2167, 2637, 1998, 2036, 2950, 1996, 7139, 1012, 2009, 2003, 2036, 2179, 2247, 1996, 7855, 2148, 2137, 15458, 1999, 7379, 1998, 8326, 1012, 7080, 1999, 2430, 8326, 17702, 1998, 6970, 13578, 2098, 2007, 1996, 11862, 21307, 2483, 1012, 1996, 2048, 2031, 2042, 6219, 2011, 2070, 4614, 2004, 1037, 2309, 2427, 1012, 102, 101, 2037, 8738, 3774, 3952, 1997, 2235, 13582, 8336, 1010, 2107, 2004, 9728, 1998, 2235, 21995, 1012, 13675, 4710, 7529, 2024, 2049, 6871, 2833, 1999, 2087, 4655, 1010, 2021, 2009, 2064, 14171, 2049, 8738, 2429, 2000, 1996, 6552, 1998, 8336, 14531, 1012, 2049, 2364, 26912, 5248, 2003, 28664, 2007, 2049, 23525, 2012, 1996, 3953, 1997, 8467, 2300, 2000, 2514, 2005, 1998, 5425, 2049, 8336, 1012, 2009, 2515, 2025, 2156, 1996, 8336, 1012, 102, 101, 2076, 1996, 8119, 2161, 1010, 1996, 2137, 2317, 21307, 2483, 29438, 1999, 4121, 8355, 2379, 2300, 1012, 7689, 2024, 9197, 18847, 22864, 3560, 1998, 2119, 3008, 2729, 2005, 1996, 2402, 1010, 2348, 3767, 7166, 2000, 8526, 1999, 4469 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.04194867517400625, 8.31934989272291e-9, 0.015893862542609005, 0.0014604872017014465, 0.011019420402834606, 0.010608707952583655, 0.01753332028412331, 0.03804826694827321, 0.0005598171366866182, 0.000030345845458638193, 0.0017968969335144423, 0.00007297995854186983, 0.0957349623212339, 0.06591143641990795, 0.008113195457872681, 0.000001253797965645122, 0.009659608825740702, 0.11398379606307371, 0.0065109841739513135, 0.011623953360717941, 0.03270766510897084, 0.007947472456859025, 0.00007263798690417202, 0.0030536929390753685, 0.00047178566043544636, 0.0010752242949813341, 0.0000720333691867704, 8.31934989272291e-9, 0.02800784692658687, 0.00015879690124851918, 0.029069957599138323, 0.043730714447651566, 0.0038147860167465383, 0.010103345805615218, 0.00007297500347313766, 0.042705981468912003, 0.05140584782209503, 0.00880940493777994, 0.00045360651280127975, 0.0007678184547510961, 0.07785479970444657, 0.028784287179309448, 0.06534410620362277, 0.0018344340750261552, 0.0000021378935966165485, 0.00017126190657174505, 0.02982188931011537, 0.016336322129788618, 0.06415467278518469, 0.0006825076596289259 ]
[ 1030, 1011, 1030, 3940, 8872, 9513, 2007, 2060, 3801, 2000, 3623, 2037, 15124, 3112, 1012, 3767, 2031, 2036, 2042, 2179, 2000, 11304, 2833, 2013, 4895, 8585, 2094, 3801, 1998, 25406, 2076, 1996, 8119, 2161, 1012, 102, 101, 2529, 10796, 2038, 5360, 1996, 5248, 1997, 1996, 2137, 2317, 21307, 2483, 3081, 2019, 3623, 1999, 1996, 14061, 1997, 25003, 5017, 10841, 2854, 1010, 2029, 2003, 2207, 2046, 1996, 4044, 2013, 4895, 7913, 4383, 5949, 1012, 7524, 2000, 25003, 5017, 10841, 2854, 11477, 2015, 1996, 18714, 3798, 1997, 2137, 2317, 21307, 2483, 1010, 12473, 2037, 15100, 1998, 21016, 5248, 1998, 2877, 2000, 2896, 14627, 6165, 1012, 102, 101, 102, 101, 1027, 1027, 25274, 1027, 1027, 102, 101, 102, 101, 1996, 2137, 2317, 21307, 2483, 2001, 2028, 1997, 1996, 2116, 4743, 2427, 2761, 2649, 2011, 5529, 21610, 1999, 1996, 16832, 6049, 3179, 1997, 2010, 2291, 2050, 14085, 4648, 2063, 1010, 2073, 2009, 2001, 2445, 1996, 8026, 20936, 2389, 2171, 1997, 8040, 12898, 4502, 2595, 2632, 8286, 1012, 1996, 2427, 2171, 2003, 1996, 3763, 24931, 2632, 8286, 1000, 2317, 1000, 1012, 4522, 2691, 3415, 2008, 2031, 2042, 2109, 2421, 3009, 15390, 7974, 1998, 2317, 15390, 7974, 1012, 2394, 19176, 2928, 4937, 2229, 3762, 11094, 14659, 26838, 5055, 2005, 1037, 3584, 2427, 1010, 2029, 2002, 2170, 1996, 2829, 15390, 7974, 1012, 2334, 21414, 3415, 1999, 5773, 2421, 2022, 2278, 13675, 23555, 1998, 17268, 13109, 23093, 1012, 102, 101, 8968, 12062, 11333, 17420, 2435, 1996, 2427, 2049, 2783, 8026, 20936, 2389, 2171, 1999, 10212, 2043, 2002, 7019, 1996, 2047, 3562, 7327, 3527, 6895, 7606, 1010, 3005, 2069, 2060, 2427, 2003, 1996, 11862, 21307, 2483, 1006, 1041, 1012, 14548, 2121, 1007, 1012, 2045, 2038, 2146, 2042, 5981, 2006, 3251, 1996, 2048, 2323, 2022, 2641, 11056, 2030, 4876, 3141, 2427, 1010, 1998, 1996, 2137, 2030, 3490, 2705, 16886, 1005, 2586, 10592, 1996, 2048, 2000, 2022, 1037, 3565, 13102, 8586, 3111, 2004, 2027, 2024, 11498, 4502, 12412, 1012, 1996, 3768, 1997, 5159, 23376, 2001, 1037, 2312, 5387, 1999, 1996, 3193, 2008, 1996, 2427, 2020, 3584, 1012, 102, 101, 2174, 1010, 1999, 1037, 2492, 2817, 2405, 1999, 3055, 1010, 6950, 22246, 8223, 2080, 1998, 6425, 13950, 2080, 2179, 3350, 1997, 6970, 13578, 17819, 1999, 1037, 2313, 2073, 1996, 8483, 1997, 1996, 11862, 1998, 2317, 21307, 13087, 17702, 2247, 1996, 3023, 1998, 1999, 1996, 2222, 6761, 2015, 2555, 1997, 7379, 1998, 8326, 1012, 2027, 5159, 3633, 1997, 1996, 2048, 2427, 15100, 1998, 22778, 1010, 2004, 2092, 2004, 8893, 21307, 13087, 2007, 5122, 4589, 28764, 1010, 2030, 2317, 28764, 2007, 8138, 4589, 12261, 1025, 2037, 6378, 2008, 2122, 5055, 2022, 6219, 2004, 1037, 2309, 2427, 1010, 2038, 2042, 2628, 2011, 2560, 2028, 2492, 5009, 1012, 8893, 21307, 13087, 2031, 2036, 2042, 2680, 1999, 3516, 1010, 2073, 1996, 11862, 21307, 2483, 2038, 2042, 3107, 2046, 3748, 7080, 1997, 2137, 2317, 21307, 2483, 1012, 5055, 1997, 7783, 2000, 2417, 28764, 2031, 19035, 2005, 8213, 1012, 102, 101, 2030, 3490, 2705, 16886, 2508, 13849, 1998, 3958, 13970, 4095, 5802, 2036, 5136, 1996, 2048, 2000, 2022, 1037, 2309, 2427, 1010, 2007, 1996, 5966, 1999, 28764, 1010, 2946, 1010, 3096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.0733424286943311, 0.11500594885790305, 0.09722076821845818, 0.012944222675417621, 0.000004487533673685496, 0.0024220018791333772, 0.030197058787107763, 0.0000059131505117598615, 0.000446132732691805, 0.00000271275313221887, 0.000027313545411514625, 0.04147241352148272, 0.0004068260414847451, 0.000004837078004315794, 0.005014014475579834, 0.0002210404530067077, 0.0003325310603625302, 0.0006898960111910338, 0.0003820133541877237, 0.05559839804763336, 0.00046226846031556886, 0.00006962412309555244, 0.014695594809435265, 0.01664399378580971, 0.0005517897742286444, 0.005538378874163921, 0.00010543902124701717, 0.015154501405567351, 0.019226264765469514, 0.0006555773949112704, 0.05131577348536268, 0.00004697902225416608, 0.0009854654757373677, 0.0007222967629857567, 0.03406791762155172, 0.06690659178704364, 0.015706270838988803, 0.10343436984375456, 0.03833142893101204, 0.00014392991583697787, 0.0002436891738901643, 0.006730841050273338, 0.01015055325758333, 0.0018055931611265267, 0.000023540944102628047, 0.02513907768245745, 0.00002263029321842925, 0.000010775750500127967, 0.12074644881256111, 0.01462143490481019 ]
[ 28757, 1998, 3014, 1997, 3021, 27862, 2076, 8119, 2161, 5716, 1996, 16474, 3494, 1012, 2027, 2031, 3818, 1996, 7080, 28667, 12162, 18908, 2098, 1999, 7855, 2148, 2637, 2044, 1037, 2558, 1997, 8745, 1010, 1998, 2008, 1996, 3609, 4489, 2003, 3497, 2349, 2000, 1996, 3739, 1997, 2019, 9007, 2008, 4473, 2039, 15166, 1997, 28815, 1999, 1996, 8738, 1012, 2027, 2031, 8781, 3251, 2317, 1030, 1011, 1030, 28764, 2094, 5055, 1997, 2148, 2637, 2024, 1999, 2755, 2112, 1997, 1996, 14548, 2121, 2738, 2084, 1996, 2632, 8286, 28521, 1010, 1998, 13399, 2008, 2062, 4812, 2003, 2734, 2000, 5646, 2023, 1012, 102, 101, 102, 101, 1027, 1027, 6412, 1027, 1027, 102, 101, 102, 101, 1996, 2317, 28764, 1998, 5061, 13268, 3096, 1997, 4639, 2137, 2317, 21307, 13087, 2024, 8200, 1012, 6001, 2031, 2304, 3358, 25101, 2015, 2008, 2024, 2788, 2069, 5710, 1999, 3462, 1012, 1999, 2512, 1030, 1011, 1030, 8119, 4650, 1996, 2146, 2091, 10841, 2099, 7178, 3021, 1998, 2146, 3456, 2024, 4408, 2417, 1030, 1011, 1030, 4589, 1012, 2076, 1996, 2034, 2702, 2420, 1997, 1996, 8119, 2161, 1010, 1996, 3096, 2601, 6132, 2000, 1037, 2784, 5061, 2006, 1996, 3021, 1998, 2019, 2471, 6379, 1030, 1011, 1030, 25577, 2417, 2006, 1996, 3456, 1012, 2009, 2059, 26784, 2000, 1037, 24489, 5061, 1010, 1998, 1996, 5955, 1997, 1996, 3021, 4150, 22032, 1012, 2009, 2003, 3697, 2000, 5646, 1996, 3348, 1997, 2019, 4639, 2137, 2317, 21307, 2483, 2013, 2049, 6327, 3311, 1010, 2144, 1996, 21024, 2031, 2714, 28764, 1012, 2174, 1010, 2045, 2003, 4424, 11737, 2953, 21850, 6491, 1999, 2946, 1998, 10817, 2004, 3767, 2024, 6022, 3469, 1998, 11907, 2084, 3801, 1998, 2031, 2936, 1998, 18890, 2121, 8236, 1012, 1037, 2817, 1997, 1996, 2137, 2317, 21307, 2483, 1999, 2670, 3516, 17544, 3635, 8483, 1997, 6584, 2475, 1030, 1012, 1030, 1023, 2000, 1015, 1030, 1010, 1030, 24441, 1043, 1006, 1015, 1030, 1012, 1030, 6227, 2549, 2000, 1016, 1030, 1012, 1030, 28601, 6053, 1007, 2005, 3767, 1998, 5354, 2475, 1030, 1012, 1030, 1021, 2000, 6564, 2487, 1030, 1012, 1030, 1017, 1043, 1006, 1015, 1030, 1012, 1030, 24559, 2000, 1015, 1030, 1012, 1030, 6486, 2683, 6053, 1007, 2005, 3801, 1010, 2007, 2779, 15871, 1997, 1015, 1030, 1010, 1030, 6021, 2575, 1030, 1012, 1030, 1018, 1043, 1006, 1016, 1030, 1012, 1030, 21777, 6053, 1007, 2005, 3767, 1998, 6146, 2549, 1030, 1012, 1030, 1019, 1043, 1006, 1015, 1030, 1012, 1030, 6273, 2629, 6053, 1007, 2005, 3801, 1012, 1996, 3091, 1997, 4639, 2931, 1998, 3287, 5055, 8483, 2013, 5187, 2000, 3963, 4642, 1006, 2538, 2000, 2654, 1999, 1007, 2007, 1037, 3938, 2000, 8746, 4642, 1006, 3486, 2000, 4601, 1999, 1007, 9635, 1012, 2426, 3115, 11702, 1010, 2137, 2317, 21307, 2483, 5468, 2322, 1030, 1012, 1030, 1019, 1516, 2861, 4642, 1006, 1022, 1030, 1012, 1030, 1015, 1516, 2260, 1030, 1012, 1030, 1016, 1999, 1007, 2247, 2169, 3358, 1010, 2031, 1037, 5725, 10903, 1997, 1023, 1030, 1012, 1030, 1017, 1516, 2260, 1030, 1012, 1030, 1016, 4642, 1006, 1017, 1030, 1012, 1030, 1021, 1516, 1018, 1030, 1012, 1030, 1022, 1999, 1007, 1010, 1037, 16985, 13203, 1997, 1020, 1030, 1012, 1030, 4293, 1516, 2340, 1030, 1012, 1030, 1017, 4642 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00012542416937118422, 0.0029765418548136206, 0.036165282256188105, 0.00006335424291889575, 0.031979697048102315, 0.03413579002477425, 1.0104796848112887e-8, 0.10489043441890267, 0.007029223111513366, 0.02612353304536461, 0.001307620277399164, 2.6883236684976623e-7, 0.010376541084555678, 0.08287422393317355, 0.1465938856545826, 0.0018416849816640457, 0.0008051559792241966, 0.00640463182769958, 0.0014662970211196706, 0.03806554372303606, 0.10564505600582405, 0.000004110862935715632, 0.027558417710180635, 1.0104796848112887e-8, 0.031373304225516846, 0.006429299696261306, 0.00045485224324293827, 0.08582075245851965, 0.013848346166038073, 0.006216279241272531, 0.026280203076757793, 1.0104796848112887e-8, 0.000060539541589380884, 0.0003596354052076955, 1.0104796848112887e-8, 0.01952534966217081, 0.010935813001235542, 0.000015162424301370446, 0.033614079464684116, 0.002113444579952272, 0.000036434207646852346, 0.015951765416237794, 0.03127797171967702, 0.013958673124053347, 0.0031666814318771943, 0.003247779035497986, 0.00002937338366220055, 0.008973663594236488, 0.00005241096862261998, 0.019825427446839995 ]
[ 1006, 1016, 1030, 1012, 1030, 5764, 1516, 1018, 1030, 1012, 1030, 3429, 1999, 1007, 1998, 1037, 12731, 13728, 2368, 1997, 2340, 1516, 2385, 1030, 1012, 1030, 1023, 4642, 1006, 1018, 1030, 1012, 1030, 1017, 1516, 1020, 1030, 1012, 1030, 1021, 1999, 1007, 1012, 102, 101, 1996, 4397, 11300, 2098, 2137, 2317, 21307, 2483, 2003, 3139, 2007, 6379, 2091, 12261, 1010, 2784, 7406, 2000, 2601, 2829, 2030, 2304, 2006, 1996, 2132, 1998, 4777, 1012, 1996, 3108, 2003, 2411, 6436, 1998, 2045, 2064, 2022, 1037, 2317, 10722, 6199, 2006, 1996, 2132, 1012, 1996, 11173, 2229, 2024, 2829, 1012, 1996, 6086, 3096, 2003, 5061, 4509, 3322, 1010, 4237, 2013, 1996, 5955, 1997, 1996, 3021, 2029, 2003, 2601, 3897, 1010, 2021, 4332, 3897, 2306, 1037, 2261, 2420, 1997, 11300, 2075, 1012, 1996, 3021, 2003, 2460, 1998, 3442, 2012, 4182, 1998, 2038, 2019, 8288, 11868, 2029, 4212, 2125, 2090, 2420, 2274, 1998, 3157, 1010, 1998, 11791, 2093, 2304, 7635, 2013, 2105, 2154, 2416, 1010, 2077, 3810, 3897, 2011, 2105, 2416, 3134, 1997, 2287, 1012, 1996, 3897, 2000, 7525, 3897, 2829, 11799, 28764, 3544, 2090, 3134, 2048, 1998, 2416, 1010, 1998, 2227, 1998, 3021, 2468, 5061, 1037, 2261, 3134, 2101, 1010, 2096, 1996, 3456, 3961, 3897, 1012, 1996, 11173, 2229, 2031, 2357, 12796, 1030, 1011, 1030, 3897, 2011, 2023, 2754, 1012, 2320, 26712, 1010, 1996, 11799, 2137, 2317, 21307, 2483, 2038, 4321, 2829, 28764, 1998, 2069, 1996, 19379, 2361, 1010, 2104, 9328, 1998, 2104, 26950, 2024, 2317, 1012, 1996, 3456, 2468, 2422, 4589, 1012, 2004, 2009, 9677, 2015, 1010, 2317, 12261, 4088, 6037, 2006, 1996, 2067, 1998, 2009, 29129, 1037, 16612, 9587, 7096, 2000, 6855, 1996, 2317, 4639, 28764, 1012, 2023, 2003, 3262, 3143, 2011, 1996, 2203, 1997, 1996, 2117, 2095, 1010, 2348, 2070, 2829, 12261, 29486, 2006, 1996, 2132, 1998, 3300, 2127, 1996, 2203, 1997, 1996, 2353, 2095, 1012, 11799, 5055, 2202, 2105, 2048, 2086, 2000, 3362, 4639, 2946, 1998, 3635, 1012, 102, 101, 2066, 2060, 2427, 1997, 21307, 2483, 1010, 1996, 2137, 2317, 21307, 2483, 10029, 2007, 3300, 1998, 3456, 21059, 1010, 2411, 1999, 2146, 6065, 3210, 2030, 1058, 13197, 1517, 1037, 3069, 2492, 2817, 1999, 2167, 3792, 3264, 2058, 3770, 1003, 1997, 4639, 21307, 2483, 2725, 2061, 1010, 2096, 25406, 5901, 2165, 2039, 1996, 3218, 2058, 1996, 2607, 1997, 1996, 2621, 1012, 1996, 4525, 7620, 1999, 28033, 2015, 2089, 2896, 2943, 20700, 1012, 2122, 3210, 4875, 1999, 2019, 6151, 10924, 5418, 2004, 2027, 23554, 20916, 1998, 21096, 1012, 23990, 1999, 1037, 8206, 5418, 2003, 2036, 2464, 1012, 7535, 1997, 3156, 2000, 1015, 1030, 1010, 1030, 2199, 1049, 1006, 1015, 1030, 1010, 1030, 5174, 2000, 1017, 1030, 1010, 1030, 3998, 3027, 1007, 2089, 2022, 2584, 2004, 5055, 21096, 2058, 7599, 1997, 2322, 2463, 1006, 2260, 2771, 1007, 2030, 2062, 1012, 2062, 4141, 1010, 5055, 4875, 2090, 3438, 1998, 2531, 1049, 1006, 3263, 1998, 14210, 3027, 1007, 2682, 1996, 2598, 1010, 20292, 2030, 20916, 4691, 2012, 1037, 3446, 1997, 2105, 1017, 1030, 1012, 1030, 1017, 3358, 19442, 2015, 1037, 2117, 1012, 102, 101, 1996, 2364, 2655, 1997, 1996, 2137, 2317, 21307, 2483, 2003, 1037, 10189, 6834, 2614 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.042950624230858096, 0.0027132729900816357, 0.06933370710677735, 0.020894499714842307, 0.0062872231220987744, 1.0005778336990725e-8, 0.10665309099153647, 0.0253364086404419, 0.0046481862546970225, 0.002224492429588938, 0.0032245661218110555, 0.011795757738373918, 0.00001782424922311714, 0.0005978588048193693, 0.007525417459112867, 0.048303927965816076, 0.0006341171306564467, 6.66856532181068e-7, 0.1057478386653794, 0.00006829116451738828, 0.060537778198638474, 0.029575865787322735, 0.03513829264776025, 0.000014212607463739137, 0.003493217909992469, 0.008740706277189873, 0.015922714557262106, 0.0023378111960221525, 1.0005778336990725e-8, 0.006047945201885381, 0.0000034357089398544635, 0.11073390890863567, 0.011297505235265523, 0.0005714667665947963, 0.08419253499640925, 0.0012720032321187169, 0.0009074501124678556, 0.0002705594654497536, 0.0006006972998861347, 0.11131085742305144, 0.0008652269307493742, 0.021196990049931183, 0.008010741240665427, 0.003213780894713999, 1.0005778336990725e-8, 0.0018331747476507212, 0.0022999143220723455, 0.000038586307155383294, 0.00009277624994502963, 0.02052204407026102 ]
[ 1010, 26223, 2004, 24471, 8950, 1010, 24471, 8950, 1010, 2030, 15876, 8950, 1010, 15876, 8950, 1012, 1996, 2655, 2003, 2109, 1999, 3462, 1010, 28592, 2030, 2043, 12491, 1012, 5055, 2036, 14395, 1037, 22124, 15876, 2226, 1030, 1011, 1030, 15876, 2226, 1030, 1011, 1030, 15876, 2226, 2655, 2096, 26912, 1010, 1998, 2191, 1037, 5490, 5657, 21682, 2655, 1999, 28592, 1012, 2402, 1999, 1996, 9089, 2507, 1037, 2152, 1030, 1011, 1030, 8219, 1062, 5831, 2226, 2004, 1037, 12858, 2655, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 2714, 2427, 1027, 1027, 1027, 102, 101, 102, 101, 26838, 2137, 2317, 1998, 11862, 21307, 13087, 2024, 2200, 3697, 2000, 2425, 4237, 1010, 2348, 11862, 21307, 13087, 7166, 2000, 2031, 9904, 3456, 1998, 6436, 3096, 2105, 1996, 2227, 1012, 2019, 26838, 2137, 2317, 21307, 2483, 2071, 2022, 13534, 2005, 2019, 26838, 19504, 21307, 2483, 1010, 2021, 1996, 3732, 2003, 12590, 2601, 2829, 1998, 14087, 1996, 2317, 7579, 1998, 19379, 2361, 1012, 1996, 4639, 2003, 10782, 3085, 2013, 1996, 3536, 2358, 2953, 2243, 1010, 2029, 2003, 2172, 3469, 1998, 2049, 4777, 2031, 2062, 2304, 2006, 2068, 1012, 102, 101, 102, 101, 1027, 1027, 4353, 1998, 6552, 1027, 1027, 102, 101, 102, 101, 1996, 2137, 2317, 21307, 2483, 2003, 2087, 2691, 1999, 3516, 1010, 2073, 2058, 2382, 1030, 1010, 1030, 2199, 2031, 2042, 8897, 1999, 1037, 2309, 8119, 5701, 1012, 2009, 2036, 5158, 2802, 1996, 7139, 1010, 2006, 2119, 20266, 1997, 3290, 1006, 2013, 19497, 2662, 22161, 2015, 1007, 1998, 2430, 2637, 1010, 1998, 2004, 2521, 2148, 2004, 3996, 1998, 8326, 1012, 1996, 2512, 1030, 1011, 1030, 8119, 2846, 8908, 2582, 9514, 1010, 4285, 2167, 2000, 3448, 1010, 1998, 2225, 2000, 2789, 3146, 1012, 102, 101, 1996, 2427, 2003, 2124, 2000, 17677, 1010, 1998, 2038, 2042, 19985, 1010, 2823, 1999, 2235, 19311, 2015, 1010, 1999, 2163, 2521, 2041, 1997, 2049, 5156, 2846, 1012, 102, 101, 1999, 2167, 2637, 1010, 8119, 3138, 2173, 2247, 1996, 4448, 3023, 1010, 2013, 1996, 3792, 2015, 2148, 2000, 3516, 1998, 23166, 2225, 2247, 1996, 6084, 3023, 1012, 18169, 12731, 10513, 28922, 2003, 2019, 7275, 1998, 3164, 2135, 2590, 22217, 1999, 1996, 2110, 1997, 27441, 2863, 2006, 3290, 1005, 1055, 2225, 3023, 2073, 1037, 8119, 5701, 2038, 2042, 2680, 1012, 2137, 2317, 21307, 13087, 2024, 2025, 11633, 2000, 1996, 4573, 2073, 2027, 8843, 1010, 1998, 2312, 8119, 8355, 3605, 1997, 2702, 4595, 5055, 2030, 2062, 2064, 26478, 2890, 5867, 1998, 4487, 19022, 5685, 1999, 2028, 2030, 2048, 8119, 3692, 1012, 8119, 7080, 2408, 2049, 2846, 2031, 19857, 25638, 6551, 2007, 17264, 2929, 2090, 2163, 1012, 2127, 1996, 7675, 1010, 1996, 2427, 2069, 13680, 1999, 2312, 3616, 1999, 3516, 1010, 3262, 2306, 1996, 2412, 23296, 18673, 1012, 14734, 3785, 6974, 1999, 1996, 2142, 2163, 2419, 2000, 2058, 4278, 1030, 1010, 1030, 2199, 2137, 2317, 21307, 2483, 8119, 2045, 1999, 1996, 5687, 1012, 1999, 1996, 4856, 1998, 4120, 1010, 2312, 8355, 2596, 1999, 6041, 1010, 5773, 1010, 1998, 2059, 2167, 1998, 2148, 3792, 1998, 1996, 6084, 3023, 1997, 3516, 1010, 1998, 2633, 3146, 1999, 1996, 3955, 1012, 2059, 1010, 2090, 1996, 3955, 1998, 2220, 4134, 1010, 8119 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00009661895881692469, 0.013722121072730542, 0.04112187216502891, 0.0003869239575031844, 0.0651658529451608, 0.000028307489458699443, 0.004582666625572647, 0.03512899617422917, 0.0045556287852998424, 0.00004637248786210944, 0.00006723901004172448, 0.12045578851074222, 0.0005102524414645869, 0.008809255393780364, 0.000026916091733413378, 0.00030527255753379364, 0.011850239453735544, 0.006080673816013238, 0.058557318628710435, 0.09134860776823976, 0.0004050508367770971, 0.040557734701739734, 0.000028719886957261747, 0.000032715527187056495, 0.08082469398359597, 0.04744111586578593, 0.0040242121742432935, 0.0000140745467041908, 0.05167947998435555, 0.0029157495653302865, 0.008510903727885164, 0.0006878027068733424, 0.0005205550411136846, 0.0024652797561014374, 0.048495643123764455, 0.012182504643117365, 0.0016046366866129072, 0.005854513866883244, 0.0013386235054342944, 0.006343809506169071, 0.000023604327495480868, 0.0016467412171335457, 0.056044723896245666, 0.00018466901419028137, 0.0000010141614241439683, 0.003977128831671989, 0.0009700505163156055, 0.15776422514194902, 8.615839531712852e-9, 0.0006130903074455434 ]
[ 8355, 6430, 1998, 5419, 1999, 2148, 3792, 1998, 3516, 1010, 1998, 6551, 3445, 1999, 5773, 1010, 1998, 2167, 3792, 1012, 8355, 2197, 2090, 2028, 1998, 9171, 2086, 1010, 2037, 26906, 3141, 2000, 2946, 1998, 3737, 1997, 3518, 16630, 1012, 1996, 6493, 1030, 1011, 1030, 9879, 2024, 3378, 2007, 16630, 2058, 5385, 2463, 2475, 1006, 17196, 5490, 2771, 1007, 1999, 2946, 1012, 16627, 1997, 22217, 2030, 8119, 4573, 2024, 4436, 2005, 22290, 1012, 1996, 2313, 1997, 2137, 2317, 21307, 13087, 1999, 1037, 5701, 2012, 25730, 19763, 2094, 2479, 1999, 12982, 2221, 1010, 2148, 3792, 3333, 2013, 2184, 1030, 1010, 1030, 2199, 2000, 5717, 2090, 2960, 1998, 2901, 2004, 7064, 9395, 2018, 1999, 18426, 3064, 3518, 12573, 26912, 2752, 2007, 5474, 2300, 1012, 102, 101, 1996, 2137, 2317, 21307, 2483, 2003, 2179, 1999, 1037, 3528, 1997, 10746, 1010, 2348, 8467, 5780, 19257, 1010, 16630, 1998, 29340, 22722, 2024, 6871, 1012, 2009, 2003, 2036, 4141, 2179, 1999, 15405, 12679, 1010, 2006, 8494, 10258, 11149, 1998, 2130, 4954, 10168, 2015, 1012, 7080, 2008, 2024, 2185, 2013, 1996, 3023, 1998, 17721, 1010, 3391, 1999, 2670, 3516, 1010, 2411, 13960, 1999, 2060, 3596, 1997, 16630, 2107, 2004, 19257, 1010, 16879, 1998, 10361, 4249, 1012, 1999, 2621, 1010, 2122, 2693, 2000, 2062, 5780, 1998, 9765, 6692, 11467, 10746, 2004, 9514, 21938, 2468, 10361, 2007, 2621, 15811, 1998, 1996, 21307, 2483, 2424, 1996, 2300, 3798, 2205, 2784, 2000, 2005, 4270, 6464, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 10725, 2501, 1027, 1027, 1027, 102, 101, 102, 101, 3464, 2714, 2000, 1996, 2137, 2317, 21307, 2483, 2031, 2042, 2179, 1999, 2690, 20228, 3695, 17968, 10042, 1997, 1996, 5923, 3028, 4195, 1999, 2430, 3516, 1010, 1998, 2896, 20228, 3695, 17968, 10042, 1997, 1996, 2259, 4665, 4195, 2012, 3389, 3636, 1999, 2167, 3792, 1012, 2048, 2427, 1010, 2028, 2542, 1998, 2028, 8548, 1010, 2031, 2042, 6757, 2013, 1996, 21368, 5400, 16985, 2156, 4523, 1999, 2642, 5780, 7304, 1012, 7327, 3527, 6895, 7606, 15432, 2271, 2001, 2649, 2013, 1037, 16985, 14045, 29336, 11650, 2271, 2008, 19541, 3621, 2013, 1041, 1012, 2632, 8286, 1010, 3005, 3464, 2020, 2036, 2179, 2045, 1012, 3464, 1997, 4445, 2427, 2024, 2691, 1999, 1996, 9705, 1012, 1996, 16985, 2156, 4523, 2031, 2042, 6052, 2012, 2410, 1030, 1010, 1030, 7706, 2086, 2214, 1012, 1996, 2137, 2317, 21307, 2483, 2003, 2145, 2179, 1999, 7304, 1012, 102, 101, 102, 101, 1027, 1027, 5248, 1027, 1027, 102, 101, 102, 101, 1037, 2492, 2817, 2397, 1999, 1996, 3516, 21016, 2161, 3936, 2008, 2006, 2019, 2779, 2154, 1010, 4639, 2137, 2317, 21307, 2483, 2985, 2184, 1030, 1012, 1030, 2423, 2847, 2559, 2005, 2833, 1010, 1014, 1030, 1012, 1030, 4293, 2847, 3909, 1010, 2410, 2847, 8345, 1010, 20996, 14122, 2075, 1010, 1998, 7052, 2000, 2037, 17415, 1012, 2172, 1997, 1996, 2051, 20996, 14122, 2075, 2003, 2985, 3653, 7406, 1010, 12344, 1998, 2551, 2037, 12261, 2007, 2037, 2146, 8236, 1010, 2004, 2092, 2004, 10137, 1996, 3514, 23340, 2006, 1996, 3903, 1997, 2037, 4641, 2006, 2067, 28764, 1012, 2137, 2317, 21307, 2483, 3227, 2069, 3653, 2368, 3209, 1010, 2025, 11973, 1999, 2035, 7361, 28029, 2075, 4983, 2112, 1997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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 ]
[ 8.302961791016206e-9, 0.000060327794313707155, 0.0017556341751615483, 0.002283903533801633, 0.0005468757254625058, 0.0004992386215696941, 0.07042557827597207, 0.007610071745334584, 0.00002910879365142216, 0.06681819115106209, 0.0001206690963735021, 0.0002727708025906682, 0.08921352581910756, 0.008258166417867356, 0.012264566522349238, 8.302961791016206e-9, 2.2978884674055026e-7, 0.01956594535345332, 8.302961791016206e-9, 0.03876494449471263, 0.061380065184346036, 0.012073304999335814, 0.000004082575178416404, 0.14036112042658577, 0.0028271698550406234, 0.0003786444704584148, 0.00075853290311226, 0.003302921165341255, 0.00001595922836170244, 0.0007458799888349879, 0.0389430196833371, 0.036528355261207075, 0.01460383222284699, 0.07466330476383169, 0.08981084882509913, 0.00010888000143596252, 0.010911803409987675, 0.0011657527908902766, 0.05244139164308136, 0.00013966300026397815, 0.000004718802177029655, 0.02415883003239336, 0.00801922430877324, 0.0013441681755707148, 0.00038813411873782436, 0.0007226874355447012, 0.03958315049706908, 0.001516517568651983, 0.0010577019787142371, 0.06355056166327581 ]
[ 28592, 5248, 1012, 17573, 2411, 3138, 2173, 2077, 3653, 7406, 1025, 21307, 2483, 26783, 1999, 2300, 1019, 1516, 2322, 4642, 1006, 1016, 1030, 1012, 1030, 1014, 1516, 1021, 1030, 1012, 1030, 1023, 1999, 1007, 2784, 1998, 17312, 2300, 2058, 3209, 2007, 2169, 3358, 1999, 8338, 1012, 5606, 1997, 5055, 2089, 7198, 2063, 2362, 2105, 1996, 2051, 1997, 28592, 1012, 102, 101, 1996, 2137, 2317, 21307, 2483, 2003, 7894, 1010, 6984, 1996, 21016, 1998, 4653, 4573, 2114, 22841, 2015, 1012, 3283, 26942, 2594, 2030, 5081, 8834, 2421, 11192, 2075, 2830, 2007, 1996, 3021, 1999, 1037, 9876, 16819, 1010, 1998, 3061, 10051, 1998, 15790, 1996, 3021, 4500, 2178, 4743, 11973, 1999, 1996, 2168, 4653, 1012, 5055, 2036, 11192, 2063, 1998, 6805, 1010, 2411, 3173, 3031, 2019, 7116, 1005, 1055, 2132, 2030, 4777, 1012, 102, 101, 102, 101, 1027, 1027, 1027, 8119, 1998, 26462, 1027, 1027, 1027, 102, 101, 102, 101, 1996, 2137, 2317, 21307, 2483, 7689, 2039, 1999, 3500, 1998, 15910, 1999, 4121, 8355, 1010, 2411, 2007, 2060, 2300, 9001, 2427, 1012, 21016, 4269, 2004, 2574, 2004, 7218, 26912, 1998, 21016, 6552, 2003, 2800, 1012, 1996, 2931, 27034, 1996, 2609, 1010, 2788, 1999, 1996, 5628, 1997, 1037, 3392, 2030, 15751, 1010, 2029, 2003, 2411, 2058, 2300, 1010, 1998, 16473, 1996, 9089, 1010, 1998, 3767, 6509, 2011, 5026, 9089, 3430, 1012, 5973, 2013, 2028, 2000, 2274, 6763, 2024, 4050, 4201, 1010, 2007, 2048, 2030, 2093, 2108, 1996, 2087, 2691, 1012, 1996, 6763, 2024, 4717, 5122, 2630, 1030, 1011, 1030, 2665, 1999, 3609, 2007, 2829, 11867, 10994, 8376, 1998, 5468, 1019, 1030, 1012, 1030, 1022, 4642, 1095, 1017, 1030, 1012, 1030, 1023, 4642, 1006, 1016, 1030, 1012, 1030, 1017, 1999, 1095, 1015, 1030, 1012, 1030, 1019, 1999, 1007, 1998, 17042, 2006, 2779, 2753, 1030, 1012, 1030, 1022, 1043, 1006, 1015, 1030, 1012, 1030, 6535, 11472, 1007, 1012, 15357, 10826, 2024, 2788, 2896, 1999, 5780, 8355, 2004, 4102, 2000, 9514, 8355, 1010, 2348, 2045, 2024, 2053, 7778, 2135, 3278, 5966, 1999, 1996, 6783, 4726, 3446, 1997, 2119, 8355, 1012, 2802, 1996, 15100, 1998, 4297, 19761, 3508, 2558, 1010, 1996, 3287, 29129, 1037, 2558, 1997, 22611, 2000, 2994, 2485, 2000, 1996, 9089, 1998, 24663, 6985, 2010, 9089, 1998, 6775, 2013, 2119, 12630, 1998, 2060, 21307, 13087, 1999, 12157, 2000, 26912, 2005, 2833, 1012, 1999, 1996, 2294, 8119, 2161, 1010, 1037, 2512, 1030, 1011, 1030, 8119, 4639, 2931, 2001, 5159, 2000, 2022, 25069, 2000, 3674, 17415, 2008, 6272, 2000, 2060, 2137, 2317, 21307, 13087, 1517, 1996, 2034, 2051, 1996, 5248, 2038, 2042, 8832, 2005, 2023, 2427, 1012, 102, 101, 2348, 1996, 2137, 2317, 21307, 2483, 2003, 9197, 18847, 22864, 3560, 1998, 2119, 21024, 3073, 18643, 2729, 2000, 2037, 2402, 1010, 1996, 3287, 2411, 10029, 2125, 2000, 8526, 1999, 4469, 3940, 8872, 9513, 2007, 2060, 21016, 3801, 2044, 15100, 2007, 2049, 3078, 2931, 4256, 1012, 2122, 4469, 1030, 1011, 1030, 3940, 8872, 9513, 2015, 2024, 2788, 2589, 2044, 1996, 2306, 1030, 1011, 1030, 3940, 8872, 9513, 2015, 1010, 1998, 2191, 2039, 2055, 3429, 1003, 1997, 2035, 2561, 15100, 2015, 1010, 2348, 2069, 2055, 2321, 1003, 1997, 2035, 4469, 1030, 1011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.00020677511364108604, 0.0029837154060323033, 0.0347957605895997, 0.00005413348635318386, 0.0000933628831976231, 0.0006647552708438497, 0.0008920141704550551, 0.011879964271736643, 0.00025070866594513046, 0.000048424205370679687, 0.0000072711141339877286, 0.0003682027792164012, 0.01630987598168005, 0.00013835497692455052, 0.0009206588949274388, 0.00024589156463512986, 8.881740074989514e-9, 0.04285976623418938, 0.009029390565626776, 0.1156925434433836, 0.021867023280144976, 0.0033290436071386573, 4.6373700613420966e-7, 0.04785947379197729, 0.015954315769248377, 0.05979958970336756, 0.0036775359215607995, 0.00015316014461528533, 0.00005057688452352845, 0.025425634658175805, 0.048692349138681396, 0.00001588046712175943, 0.0023840573900382753, 0.13436498687812043, 0.002941635388370652, 0.00007391364068924434, 0.06430099517315778, 0.0023907357029079677, 5.853505178886342e-7, 0.07669575137802913, 0.06156513637732645, 0.04920502902296627, 0.000014555875961705505, 0.019940788838973274, 0.00020054621534732313, 0.042179746207131455, 0.00002331552504823534, 0.07907516553418073, 0.00032729361499324945, 0.00004913628304574361 ]
[ 1030, 3940, 8872, 9513, 2015, 2024, 3144, 1012, 2011, 2025, 26996, 1996, 2193, 1997, 3801, 2009, 8872, 18969, 2007, 1010, 1996, 3287, 2003, 2583, 2000, 3623, 2049, 15124, 3112, 9839, 1012, 2348, 3801, 2024, 28667, 22048, 2875, 4469, 1030, 1011, 1030, 3940, 8872, 9513, 2015, 1010, 3287, 6775, 1030, 1011, 1030, 17019, 6551, 13416, 1996, 3446, 1997, 3144, 2931, 6624, 1999, 4692, 4469, 1030, 1011, 1030, 3940, 8872, 9513, 2015, 2011, 2060, 3767, 1012, 102, 101, 1996, 8119, 3112, 1997, 1996, 2137, 2317, 21307, 2483, 2003, 7591, 2000, 1996, 18479, 9966, 3785, 1997, 1996, 16927, 2107, 2004, 10101, 1998, 2300, 3798, 1012, 2659, 1998, 16922, 2300, 3798, 16014, 2204, 8336, 23661, 1012, 2300, 2504, 23163, 2015, 1010, 2073, 3798, 4125, 1999, 1996, 8119, 2161, 1010, 28736, 8336, 1998, 4254, 2006, 26912, 3112, 1012, 9089, 3616, 1998, 2779, 15357, 10826, 2024, 3760, 1999, 6993, 1997, 4359, 8336, 11343, 1012, 1996, 3112, 3446, 1997, 3008, 6274, 2028, 2030, 2062, 2402, 2000, 2322, 2420, 1997, 2287, 8483, 4235, 2013, 1019, 2000, 3963, 1003, 1997, 17415, 1010, 1998, 9783, 6551, 2090, 3518, 8355, 1012, 2137, 2317, 21307, 2483, 3008, 2031, 2042, 2124, 2000, 12448, 2037, 20649, 1005, 8738, 2007, 5167, 2107, 2004, 10338, 3217, 15395, 2015, 1998, 22005, 2833, 2013, 2529, 13044, 1999, 27196, 2086, 1010, 2043, 3869, 1998, 13675, 4710, 7529, 2024, 2062, 18782, 1012, 2913, 2031, 2036, 3491, 2008, 2086, 2007, 3020, 21016, 3616, 2018, 6022, 5514, 3500, 17462, 6165, 1997, 2300, 4230, 2084, 2086, 2007, 2659, 21016, 3616, 1012, 2023, 2003, 2138, 5514, 17462, 6165, 2965, 2008, 2045, 2024, 8491, 3869, 1998, 3445, 2800, 2181, 2073, 13675, 4710, 7529, 2064, 2022, 14682, 1012, 2023, 11637, 1996, 2755, 2008, 2137, 2317, 21307, 13087, 2079, 2025, 2224, 9723, 1997, 21016, 4945, 2004, 1037, 3145, 5387, 1999, 12515, 21016, 4573, 2021, 2612, 1010, 11160, 2006, 2060, 9181, 2107, 2004, 8336, 11343, 1998, 9089, 1030, 1011, 1030, 2609, 3653, 20207, 6165, 1012, 1996, 19689, 1997, 16630, 1999, 2148, 3516, 2038, 2036, 19209, 2006, 2427, 2008, 2005, 4270, 1999, 8467, 2300, 2107, 2004, 1996, 2137, 2317, 21307, 2483, 1010, 1998, 2049, 3623, 1999, 3616, 2003, 1037, 3145, 17245, 1997, 6418, 1997, 6552, 2306, 1996, 2412, 23296, 18673, 1012, 102, 101, 1996, 2364, 3426, 1997, 9089, 4945, 2426, 1996, 2427, 2003, 2349, 2000, 9089, 22290, 1010, 1996, 2877, 3426, 1997, 2029, 2003, 1999, 18426, 3508, 2013, 5186, 2152, 22487, 1012, 3008, 4704, 6079, 1003, 1997, 2035, 21016, 4627, 2593, 2076, 2030, 3202, 2044, 5186, 2152, 22487, 1012, 1996, 6763, 14257, 2041, 1997, 1996, 10361, 17415, 1010, 2030, 2131, 8871, 2041, 2046, 1996, 2712, 2011, 4400, 2895, 1012, 4297, 19761, 3436, 3008, 2788, 10824, 1996, 9089, 2043, 1996, 2300, 2030, 15065, 3798, 6561, 1017, 2000, 1022, 4642, 1006, 1015, 1030, 1012, 1030, 1016, 2000, 1017, 1030, 1012, 1030, 1015, 1999, 1007, 2682, 1996, 3953, 1997, 1996, 9089, 2452, 1012, 6600, 1010, 2045, 2031, 2042, 12107, 2073, 1996, 3008, 2031, 2042, 5159, 2000, 3665, 2037, 6763, 2000, 2178, 9089, 1999, 2019, 3535, 2000, 18340, 2070, 6763, 1012, 2174, 1010, 2750, 1996, 2755, 2008, 2070, 21016, 4573, 2227, 2152, 3382, 1997, 15065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.025790056371989514, 0.00005267204223502836, 0.09126655645957295, 0.000006645809194694845, 0.0004677110970730865, 0.04977529096569821, 7.878156432614084e-9, 0.0027804369871543963, 0.03888836059020391, 0.0948652938831182, 0.05442803435526922, 0.019375438088173894, 0.0005142647830148381, 0.005021245212097251, 0.00034414652597417007, 0.024375206737388518, 0.05126725315779921, 0.00002999639661386258, 0.00045821015096852617, 0.0013202715746187537, 0.027481065435803725, 0.013209605051712547, 0.010136727879770614, 5.761981685382079e-7, 0.0037281121684725562, 0.0016934550352380984, 0.000043512766216634465, 0.007567801130359437, 0.000007615564814660202, 7.878156432614084e-9, 0.004890365280247108, 0.011037147014023764, 0.0003262734705916358, 0.0003320484108607475, 0.04009968331892098, 0.004940096207864155, 0.07216006088874671, 0.0024798532015997115, 0.0196109174650134, 0.06564987615001423, 0.015790569989497405, 0.030060946059552524, 0.01685657194983524, 0.0005394404803939157, 0.0018933204954933935, 0.0018434408946471485, 0.0900270814403521, 0.08842532658388888, 4.6192528015627396e-7, 0.008140940598149033 ]
[ 4053, 2296, 8119, 2161, 1010, 2137, 2317, 21307, 13087, 2145, 3613, 2000, 9089, 1999, 2122, 2752, 2138, 1997, 2060, 11119, 3785, 2107, 2004, 12990, 3518, 2833, 4216, 1998, 2659, 8288, 3653, 20207, 6165, 1012, 102, 101, 1996, 6763, 11300, 2044, 2055, 2093, 3134, 1998, 1996, 2402, 2024, 3230, 2011, 2119, 3008, 1012, 3767, 2024, 2556, 2105, 1996, 9089, 2005, 2087, 1997, 1996, 2154, 1010, 1998, 3801, 2087, 1997, 1996, 2305, 1012, 1996, 3008, 3863, 9089, 5704, 1999, 1996, 2851, 1998, 1999, 1996, 3944, 1012, 2087, 1997, 1996, 8521, 1997, 1996, 20649, 5158, 2076, 1996, 2558, 2073, 2027, 19948, 21016, 5704, 1012, 2210, 8521, 2003, 2589, 1999, 1996, 2558, 1997, 1996, 2154, 2008, 2003, 2090, 1996, 2048, 4611, 19948, 2015, 1998, 2053, 8521, 2003, 2589, 2090, 7090, 1998, 1020, 1037, 1012, 1049, 1012, 14556, 13356, 2003, 3284, 1999, 1996, 2034, 3174, 2420, 2695, 11300, 2075, 1010, 2007, 5973, 2013, 4261, 2000, 6640, 1003, 1997, 11300, 11227, 6405, 2000, 2093, 3134, 1997, 2287, 1999, 1996, 2412, 23296, 18673, 1012, 2076, 6993, 1997, 2833, 12546, 1998, 22611, 2824, 1010, 1996, 2137, 2317, 21307, 2483, 12102, 2000, 8327, 3348, 1030, 1011, 1030, 7790, 3653, 1030, 1011, 1030, 25954, 13356, 1012, 2005, 2116, 4743, 2427, 2008, 2031, 12581, 11737, 2953, 17926, 9089, 11227, 1010, 13356, 6165, 2024, 3020, 2005, 3469, 1030, 1011, 1030, 7451, 3287, 9089, 11227, 2004, 1037, 2765, 1997, 1996, 3008, 1005, 13720, 2000, 3113, 2049, 3618, 28268, 3791, 1012, 2174, 1010, 1999, 1996, 2553, 1997, 1996, 2137, 2317, 21307, 2483, 1010, 1996, 3287, 9089, 11227, 2941, 2031, 1037, 2896, 13356, 3446, 2004, 4102, 2000, 1996, 3801, 2750, 2108, 2006, 2779, 2321, 1003, 3618, 1999, 3742, 2004, 4102, 2000, 2049, 2931, 14562, 1012, 2348, 2783, 2470, 2038, 2664, 2000, 7523, 1996, 10318, 5876, 2000, 2339, 1996, 3767, 7166, 2000, 2031, 2488, 7691, 6165, 2104, 2107, 3785, 1010, 2009, 2003, 6878, 2008, 1996, 3008, 7166, 2000, 5438, 1996, 3469, 3287, 9089, 11227, 2034, 2138, 2027, 2024, 2593, 8690, 2011, 1996, 3008, 2000, 2031, 1037, 3020, 3382, 1997, 7691, 1010, 2030, 1010, 2108, 3227, 3469, 1010, 1996, 3287, 9089, 11227, 3432, 2041, 1030, 1011, 1030, 5566, 1996, 2235, 3801, 2005, 2833, 1012, 102, 101, 4743, 12630, 2089, 15126, 5973, 2013, 1021, 1003, 2000, 4293, 1003, 1997, 1996, 4013, 17487, 1999, 1037, 8119, 5701, 1012, 1996, 3869, 11465, 1006, 2522, 2099, 27500, 9808, 5332, 27843, 12349, 1007, 2003, 2691, 27826, 1997, 2137, 2317, 21307, 2483, 17415, 1010, 9529, 2005, 2039, 2000, 4008, 1003, 1997, 8288, 3279, 1999, 1037, 2492, 2817, 2012, 6046, 2479, 1010, 2167, 3792, 1012, 2060, 12630, 1997, 6763, 1998, 2402, 2421, 1996, 4049, 1030, 1011, 1030, 14578, 24665, 8684, 2571, 1006, 21864, 15782, 7393, 2350, 1007, 1010, 2304, 1030, 1011, 1030, 10249, 2305, 22914, 1006, 16392, 4588, 6525, 2595, 16392, 4588, 6525, 2595, 1007, 1010, 19739, 12718, 1010, 1998, 4298, 27588, 2015, 1010, 2004, 2092, 2004, 1996, 2691, 6728, 15094, 2819, 1006, 2106, 2884, 21850, 2015, 7733, 6279, 4818, 2483, 1007, 1010, 10958, 21408, 2239, 1006, 4013, 5666, 2239, 2843, 2953, 1007, 1010, 1998, 9350, 12971, 1006, 3449, 9331, 5369, 2427, 1007, 1012, 8288, 3653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0.06241467546084488, 0.0004957179279914566, 0.005537256650958176, 0.002354594786549124, 0.0003403108479660961, 0.0028124687142459495, 0.000045421009331062315, 0.023648133844470936, 0.042376592979213944, 0.0017978813143101962, 8.466665893458977e-9, 8.466665678889945e-9, 0.000011430626268667372, 0.12139937277575069, 0.0054001345225151666, 0.00021624839610971642, 0.030582391234042713, 0.0032079494099250656, 8.466665678889945e-9, 0.004765637756833502, 0.0532427739756379, 0.002854072972222805, 0.000003848826683980539, 0.0626624427905103, 0.12294068734080404, 0.00047942786232657857, 0.0012972217845278603, 0.003717032455009925, 0.00002433192519227515, 0.009423007173551776, 0.036274834416526444, 0.14211613235340176, 0.006823794877299589, 0.00038540327446485447, 8.466665678889945e-9, 0.0007278850710973829, 0.008462613971377769, 0.013818884886157675, 0.0041435454535785924, 0.08120364185480343, 0.0005547477217603308, 0.015636194793763995, 0.007545283457360319, 8.466665678889945e-9, 0.0184515431876963, 0.05528862222892129, 0.005995459763970316, 0.000007749116699222585, 0.007094158414855432, 0.03141839745914203 ]