Datasets:
andersonbcdefg
/
bert-long-training-data-tokenized

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
61
2.05k
attention_mask
sequencelengths
61
2.05k
token_type_ids
sequencelengths
61
2.05k
[ 101, 3945, 2744, 1024, 1000, 9861, 9307, 2078, 1000, 3239, 14257, 2545, 3319, 2233, 2603, 1010, 2418, 5840, 1024, 4008, 2572, 1996, 2338, 2003, 2025, 4276, 3752, 2009, 10659, 2000, 9526, 2115, 3239, 14257, 2545, 2021, 2515, 2025, 2444, 2039, 2000, 2009, 2012, 2035, 1010, 1996, 2678, 4447, 1037, 1000, 3647, 3019, 3921, 1000, 2008, 3774, 1997, 3331, 2055, 5983, 2630, 20968, 1010, 2130, 2295, 2008, 2196, 4964, 3087, 1005, 1055, 2159, 1010, 2009, 2003, 2763, 2074, 2488, 2000, 5247, 2017, 2769, 2006, 2242, 2008, 2089, 2393, 2115, 2159, 2612, 1997, 2893, 1037, 2338, 2008, 2758, 2000, 4521, 5622, 27108, 6610, 1998, 2630, 20968, 1999, 18269, 2015, 1012, 2017, 2064, 4521, 3649, 2017, 2215, 1010, 2065, 2009, 3475, 1005, 1056, 3239, 5970, 1010, 2009, 1005, 1055, 27105, 1012, 16770, 1024, 1013, 1013, 7479, 1012, 7858, 1012, 4012, 1013, 3422, 1029, 1058, 1027, 1060, 2692, 11039, 2683, 3669, 2480, 2620, 6806, 1004, 2128, 2140, 1027, 1014, 1000, 2129, 2000, 2633, 9436, 1997, 2115, 6911, 3993, 3239, 14257, 2545, 1010, 5991, 1997, 4432, 1010, 1996, 12659, 4597, 1516, 2478, 1037, 3647, 1010, 3019, 1998, 3733, 2291, 1012, 1000, 2064, 12731, 11890, 12717, 2078, 2954, 4456, 1029, 12731, 11890, 12717, 2078, 2003, 1037, 4408, 3756, 6381, 2008, 2003, 2550, 2011, 2070, 4264, 1010, 1998, 2070, 2111, 2020, 2419, 2000, 2903, 2008, 2009, 2038, 1996, 5144, 2000, 9526, 4456, 2029, 2038, 2042, 2179, 2000, 2022, 4498, 6270, 1012, 2348, 1996, 2470, 2038, 2025, 2042, 4704, 10462, 1010, 2009, 2038, 2061, 2521, 2419, 2000, 2498, 1010, 1998, 2023, 2965, 2008, 2009, 2064, 2025, 2104, 2151, 25652, 2393, 2954, 4456, 1012, 2070, 5022, 2031, 2042, 2179, 2000, 16678, 2039, 2000, 2809, 20372, 1999, 1037, 2309, 2154, 2005, 2093, 2000, 2176, 2706, 1025, 2045, 2020, 2145, 2053, 3431, 1012, 2348, 1037, 2470, 7155, 2018, 2405, 2008, 2045, 2001, 3382, 1997, 1996, 3269, 1010, 2433, 1996, 14580, 2155, 2000, 2009, 12731, 4892, 4456, 1010, 2021, 2085, 1996, 3189, 2038, 2042, 28214, 1998, 8357, 27105, 1998, 22369, 2011, 1996, 2434, 6674, 1012, 2009, 2003, 1999, 2023, 2422, 2008, 1996, 2116, 4456, 5022, 2008, 2018, 2464, 2009, 2004, 1037, 2965, 1997, 13002, 2008, 9252, 4295, 2085, 4858, 3209, 3251, 2027, 2020, 1999, 1996, 2034, 2173, 2750, 2635, 12731, 11890, 12717, 2078, 1999, 2312, 8310, 1012, 2070, 1997, 2122, 5022, 2031, 2988, 22939, 12171, 20192, 2004, 2092, 2004, 10256, 14978, 2015, 2348, 1996, 2913, 3662, 2053, 5751, 1997, 2151, 2433, 1997, 22423, 2013, 1996, 12731, 11890, 12717, 2078, 1012, 2023, 2092, 2881, 6612, 2470, 2038, 3491, 2008, 2045, 2003, 2053, 3276, 2090, 2009, 1998, 1996, 12731, 4892, 1997, 4456, 1012, 1999, 2529, 5739, 1010, 2174, 1010, 2009, 2001, 2179, 2008, 2009, 13416, 1996, 1039, 1011, 22643, 5250, 6022, 1012, 2045, 2001, 2053, 3276, 2511, 2090, 1996, 13004, 1998, 3433, 1010, 2295, 1012, 2023, 2003, 2025, 2204, 2739, 2005, 2151, 4456, 5022, 2041, 2045, 1010, 2021, 2009, 2515, 8328, 1037, 2843, 1997, 2422, 2006, 2023, 3395, 1998, 11027, 2015, 1996, 2342, 2005, 1996, 5022, 2000, 2562, 2006, 2725, 2242, 2008, 2003, 2025, 5094, 2068, 1012, 2009, 2003, 23934, 2000, 2424, 4522, 2965, 2000, 12731, 4892, 4456, 1010, 2021, 2023, 2003, 2025, 1996, 2126, 2004, 2009, 2003, 2025, 2183, 2000, 2393, 2007, 2172, 1012, 2061, 1010, 1996, 3437, 2003, 2008, 12731, 11890, 12717, 2078, 2515, 2025, 1999, 2151, 2126, 2393, 2115, 2303, 2954, 4456, 1012, 8275, 27849, 25654, 1011, 1996, 15140, 3606, 1997, 27105, 2449, 2238, 2260, 1010, 2325, 2260, 1024, 4868, 7610, 1996, 2489, 1998, 12807, 3169, 1997, 3365, 27105, 27849, 4200, 9639, 2003, 1037, 2350, 5142, 2000, 1996, 2740, 1998, 4610, 1997, 2637, 1012, 2350, 2867, 1999, 1996, 17663, 1998, 12448, 3068, 2024, 1999, 3423, 4390, 2005, 4855, 28616, 20470, 12260, 2094, 25654, 1998, 6270, 6475, 1012, 2023, 2003, 7325, 9861, 2008, 2038, 2272, 2104, 1996, 26221, 1012, 4435, 15345, 2031, 2042, 7718, 2000, 20410, 1996, 9989, 1012, 17561, 2107, 2004, 18353, 5054, 2290, 2001, 2179, 2000, 2022, 2074, 2598, 20548, 1998, 5785, 1010, 18353, 3683, 12170, 4135, 3676, 2001, 7283, 9898, 2098, 10500, 1998, 10958, 10521, 2232, 1012, 10380, 6862, 7117, 2001, 2179, 2000, 2022, 9898, 2098, 26072, 1998, 13435, 1012, 10380, 6862, 7117, 1010, 2019, 14817, 2013, 10380, 6862, 2050, 2125, 28775, 12032, 2483, 6147, 1010, 2038, 1037, 26136, 11461, 19255, 1998, 1037, 2200, 16010, 5510, 1516, 3558, 6459, 2008, 2024, 2025, 17099, 2011, 1996, 9639, 1012, 1996, 5437, 1997, 1996, 12810, 2003, 4102, 2000, 1996, 5437, 1997, 19889, 14829, 1998, 3568, 6304, 9544, 2000, 2202, 2009, 2004, 18269, 2030, 14817, 1012, 2009, 2003, 2152, 2051, 1010, 2008, 1996, 9639, 2507, 1037, 2613, 3861, 1997, 2037, 4031, 1999, 2037, 14389, 2061, 2008, 10390, 2064, 2031, 1037, 5372, 1998, 2995, 2801, 1012, 2005, 1996, 7574, 1997, 1996, 10390, 1010, 2027, 2323, 6293, 2000, 2171, 9639, 2005, 17561, 2000, 5676, 2008, 2027, 3477, 2005, 2054, 2027, 13566, 2000, 4965, 1012, 6293, 2000, 2171, 9639, 2066, 5943, 4710, 1010, 10556, 2140, 1010, 2085, 9440, 1010, 1998, 3120, 3019, 2015, 1012, 2122, 9639, 2079, 3822, 2283, 5604, 1997, 2037, 4031, 12760, 2004, 2092, 2004, 9530, 15464, 3981, 3372, 5604, 2000, 5676, 2037, 12760, 2024, 14469, 1010, 5760, 1998, 3647, 2000, 16678, 1012, 2258, 5511, 1010, 2230, 5840, 1024, 2861, 7610, 7928, 2011, 7010, 16216, 15185, 5686, 1010, 5766, 1997, 5506, 3270, 3567, 1024, 3752, 2083, 1996, 2886, 4790, 1998, 23012, 2008, 2031, 15791, 3728, 2028, 2071, 2228, 2008, 2478, 12943, 10696, 2003, 2919, 2005, 2028, 1005, 1055, 2740, 1012, 2122, 4447, 2024, 12580, 6270, 1998, 22369, 1012, 2027, 2024, 6034, 5328, 4567, 2013, 6034, 4973, 1998, 4162, 2126, 2041, 1997, 6123, 1012, 2027, 2024, 17678, 16098, 16089, 6774, 1998, 4415, 2881, 2000, 25966, 2368, 1010, 2025, 16957, 1012, 2035, 1997, 1996, 10069, 1998, 5936, 3378, 2007, 1996, 2058, 8663, 17421, 16790, 1997, 5699, 2015, 1998, 10250, 18909, 1999, 2236, 2031, 2042, 15571, 2135, 3459, 2006, 12943, 10696, 1012, 2054, 2003, 1037, 1000, 7965, 1000, 4086, 24454, 1029, 2028, 2008, 2017, 2224, 17844, 1998, 12411, 5332, 6321, 1012, 2740, 5936, 3141, 2000, 10424, 14194, 22282, 1998, 10250, 29180, 4086, 24454, 2015, 2024, 2035, 12530, 4630, 2006, 1996, 2058, 8663, 17421, 16790, 1997, 2068, 1012, 2035, 9440, 2031, 10250, 18909, 1998, 2009, 2003, 1996, 3452, 8381, 1997, 10250, 18909, 2008, 2599, 2000, 24552, 1998, 3141, 3314, 1010, 2025, 2151, 2028, 2833, 3120, 1012, 12943, 10696, 1005, 1055, 10250, 29180, 3643, 2003, 12435, 2000, 1996, 2060, 4086, 24454, 2015, 1999, 1996, 4696, 1012, 2349, 2000, 2049, 3618, 23210, 2295, 1010, 2625, 12943, 10696, 2003, 2109, 4102, 2000, 1996, 2500, 1010, 2061, 12943, 10696, 2941, 2064, 5547, 10250, 29180, 8381, 2566, 3529, 1012, 2023, 2003, 2349, 2000, 1037, 3020, 10424, 14194, 22282, 4180, 1012, 1996, 3020, 4180, 2515, 2025, 2812, 3020, 8381, 2295, 1010, 2349, 2000, 1996, 3760, 4664, 2109, 1012, 2021, 1010, 2009, 2003, 2025, 1996, 2309, 3529, 2008, 5609, 1010, 2009, 2003, 1996, 2193, 1997, 3529, 2015, 2029, 2599, 2000, 1996, 2058, 8663, 17421, 16790, 3314, 2029, 2089, 2765, 1999, 2740, 5936, 1012, 2004, 1037, 4431, 2391, 1010, 1023, 1011, 2184, 5572, 13102, 7828, 3529, 2015, 1997, 12943, 10696, 2052, 2022, 1996, 15796, 10250, 29180, 5662, 1997, 2028, 2385, 11472, 3730, 4392, 1012, 2007, 2023, 7339, 1010, 2003, 12943, 10696, 2428, 2108, 2058, 8663, 23545, 2094, 2004, 1037, 3601, 1997, 4086, 24454, 2005, 2188, 2224, 1029, 2296, 2309, 2740, 3277, 2029, 1996, 17857, 2031, 2699, 2000, 5482, 2007, 12943, 10696, 2003, 2428, 1996, 2765, 1997, 1037, 10250, 29180, 2058, 8663, 17421, 16790, 3277, 1012, 2045, 2024, 2053, 8832, 3314, 2007, 3671, 1010, 8777, 8381, 1997, 12943, 10696, 2030, 4086, 24454, 2015, 1999, 2236, 2004, 2112, 1997, 2256, 10126, 8738, 1012, 2005, 4436, 4242, 1010, 2070, 2031, 4692, 2000, 27152, 12943, 10696, 2013, 1996, 2613, 2088, 1998, 2613, 2088, 3785, 2007, 1996, 3125, 1997, 26402, 2075, 12943, 10696, 1005, 1055, 2224, 1012, 2027, 2377, 2006, 2111, 1005, 1055, 10069, 1010, 4431, 6270, 2592, 1998, 8246, 2000, 4769, 2740, 3314, 1999, 2151, 15902, 2126, 1012, 1996, 3800, 1997, 2023, 3720, 2003, 2000, 2139, 8569, 8950, 1996, 6801, 28616, 2378, 14192, 3370, 4193, 12943, 10696, 1012, 2035, 2592, 2139, 8569, 8950, 2075, 1996, 17218, 1998, 28616, 2378, 14192, 3370, 2003, 2241, 2006, 2783, 2671, 1998, 8866, 1012, 2009, 2003, 2256, 3125, 2000, 3073, 2017, 2007, 6179, 2592, 2061, 2008, 2017, 2064, 2191, 2115, 3167, 28268, 9804, 1999, 1037, 2092, 1011, 6727, 1010, 2671, 1011, 2241, 5450, 1012, 1996, 12943, 10696, 6704, 1024, 14944, 1996, 27105, 3720, 2011, 8223, 2072, 6583, 12439, 2011, 2852, 1012, 6294, 12555, 2121, 1010, 8065, 1010, 16428, 1010, 6904, 2278, 2078, 1010, 27166, 2015, 1010, 27424, 2015, 2078, 1998, 7010, 16216, 15185, 5686, 1010, 5766, 5506, 3270, 3567, 1996, 6704, 2055, 12943, 10696, 23353, 2001, 7609, 2011, 1996, 4772, 1997, 1037, 2309, 3720, 2006, 1996, 4274, 1010, 2029, 2038, 2042, 22296, 1998, 5967, 2005, 8990, 2296, 2060, 3720, 2550, 2006, 1996, 4274, 1998, 2060, 2865, 9356, 1012, 2008, 3720, 1010, 2517, 2011, 8223, 2072, 6583, 12439, 1998, 2405, 2006, 3019, 2638, 9333, 1012, 4012, 1010, 2001, 3811, 25352, 1998, 2440, 1997, 27118, 9468, 4648, 9243, 1010, 2431, 1011, 23019, 1998, 28616, 2378, 14192, 3370, 2055, 12943, 10696, 1012, 2144, 1996, 3019, 2638, 9333, 1012, 4012, 3720, 2038, 2042, 1996, 7082, 3120, 1997, 3053, 2035, 2060, 2759, 4790, 1999, 2270, 2865, 1010, 2057, 2215, 2000, 2275, 1996, 2501, 3442, 2007, 2671, 1011, 2241, 1010, 10539, 2592, 2000, 3749, 1037, 2062, 12042, 7692, 2000, 2216, 4699, 1999, 4083, 2062, 2055, 12943, 10696, 23353, 1012, 2040, 2003, 1996, 3166, 1010, 8223, 2072, 6583, 12439, 1029, 2429, 2000, 1996, 6412, 2006, 1996, 3019, 2638, 9333, 1012, 4012, 4037, 1010, 8223, 2072, 6583, 12439, 2003, 1037, 1000, 6926, 4988, 1000, 1012, 2023, 2965, 2008, 2720, 1012, 6583, 12439, 2003, 2969, 1011, 4846, 1010, 1998, 2025, 4846, 2004, 2019, 1999, 1011, 2160, 4988, 2011, 1996, 4037, 1012, 2002, 2626, 1998, 2405, 1996, 3720, 2302, 2151, 8368, 2030, 4180, 15709, 1010, 1998, 1996, 3559, 1997, 1996, 4037, 1010, 3505, 5922, 1010, 3084, 2009, 3154, 2008, 1996, 3720, 2001, 2025, 7039, 2005, 16542, 2030, 24949, 2592, 2030, 8866, 1012, 1996, 4955, 2000, 1996, 3720, 1010, 2517, 2011, 2720, 1012, 5922, 1010, 2163, 2008, 8141, 2018, 2517, 2000, 7615, 2008, 2720, 1012, 6583, 12439, 1005, 1055, 4219, 2020, 25352, 2007, 9755, 1997, 3037, 2349, 2000, 2037, 3361, 5426, 1999, 6637, 4086, 24454, 2015, 1010, 2107, 2004, 2829, 5785, 23353, 1012, 2061, 2130, 1996, 4037, 3559, 2370, 2163, 2008, 1996, 3720, 2003, 2025, 2755, 1011, 7039, 1010, 1998, 2009, 2003, 25352, 1998, 4895, 26657, 2094, 1012, 2040, 2003, 18072, 12170, 2319, 5428, 1029, 1996, 7082, 7692, 10263, 2005, 1996, 3720, 2003, 18072, 12170, 2319, 5428, 1010, 4453, 2011, 1996, 3166, 2004, 6605, 2472, 1998, 5766, 1997, 26398, 7300, 1010, 4297, 1012, 2720, 1012, 12170, 2319, 5428, 2038, 3154, 4736, 1997, 3037, 7208, 2000, 1996, 4086, 24454, 3068, 1012, 2057, 2031, 12653, 1997, 1996, 2755, 2008, 2720, 12170, 2319, 5428, 2018, 3488, 2000, 3006, 1037, 4031, 2315, 5672, 1012, 2009, 2001, 2000, 2022, 2000, 12926, 2004, 1037, 2659, 10250, 10050, 2063, 4522, 4086, 24454, 3605, 1997, 3019, 1998, 7976, 12760, 999, 2720, 12170, 2319, 5428, 2001, 8729, 2013, 5821, 2023, 4086, 24454, 2004, 1996, 2765, 1997, 1037, 9870, 2114, 2032, 2011, 1996, 3954, 1997, 1996, 5675, 1012, 2720, 12170, 2319, 5428, 2003, 9339, 2011, 6583, 12439, 8077, 1998, 7580, 1012, 2116, 1010, 2065, 2025, 2035, 1010, 1997, 2010, 8635, 2024, 1038, 20051, 15706, 6270, 2030, 28616, 2890, 28994, 19304, 2015, 1997, 2755, 1012, 2002, 2003, 4415, 17678, 16098, 16089, 6774, 2114, 12943, 10696, 24816, 1012, 2001, 3087, 2842, 10263, 2005, 2023, 3720, 1029, 2748, 1012, 7010, 16216, 15185, 5686, 1010, 2343, 1998, 3954, 1997, 5506, 3270, 3567, 12943, 10696, 23353, 1010, 2001, 8077, 10263, 2011, 1996, 3166, 2021, 2053, 3033, 1997, 2008, 4357, 2020, 2443, 1999, 1996, 3720, 1012, 2009, 2003, 2590, 2000, 3602, 2008, 4445, 2720, 6583, 12439, 2030, 2720, 12170, 2319, 5428, 2031, 2025, 2081, 3209, 2800, 2005, 3980, 2006, 2037, 8635, 2144, 1996, 4790, 3311, 1012, 2027, 3961, 2041, 1997, 4356, 1998, 2031, 4498, 9511, 1996, 6704, 2037, 8635, 2580, 1012, 2054, 2003, 12943, 10696, 24816, 1029, 1996, 3098, 2240, 1997, 2023, 20423, 1999, 1996, 3720, 2011, 2720, 1012, 6583, 12439, 2163, 1024, 1000, 1996, 4054, 13794, 1997, 1996, 12943, 10696, 2003, 2732, 2818, 1010, 2107, 2004, 2054, 2003, 2179, 1999, 9781, 2030, 5785, 1012, 1000, 2023, 2003, 7078, 6270, 1012, 2045, 2003, 2053, 2732, 2818, 1999, 12943, 10696, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 7037, 10381, 21716, 20363, 1998, 22330, 13122, 11705, 12928, 2140, 2128, 5302, 9247, 2075, 2011, 2275, 2094, 2475, 1012, 2380, 1045, 2100, 1010, 8997, 19387, 1010, 4440, 25457, 1040, 2078, 1010, 4315, 2063, 1054, 1010, 7570, 16215, 1010, 1038, 8523, 4173, 1056, 2140, 1010, 17684, 1061, 2278, 1010, 4482, 1045, 3501, 1010, 6904, 14844, 10507, 1010, 23307, 17710, 1010, 2310, 25032, 3240, 1047, 3501, 1010, 12003, 11047, 1010, 10680, 2818, 1041, 1010, 9350, 14227, 5349, 1059, 2243, 1010, 5232, 18856, 1006, 2355, 1007, 3526, 18610, 1024, 20317, 1011, 5986, 2475, 8332, 3978, 1997, 1996, 4023, 1997, 1996, 12702, 28251, 9307, 1011, 17079, 18622, 6774, 4005, 4958, 14573, 22360, 2638, 1037, 3273, 2011, 13221, 2099, 25458, 1999, 5576, 1012, 15883, 1049, 1010, 10568, 1011, 21877, 16200, 9692, 1058, 2213, 1010, 13970, 13592, 5937, 1047, 1010, 19734, 3917, 1046, 1010, 1038, 21297, 16862, 1049, 3501, 1010, 24665, 3111, 9912, 1039, 1010, 9758, 2863, 26745, 1056, 1006, 2289, 1007, 17076, 7974, 18178, 2213, 20014, 3968, 25540, 2140, 4805, 1024, 6717, 1011, 1022, 1996, 2152, 1011, 5813, 5576, 3252, 1997, 4958, 14573, 22360, 2638, 1037, 5391, 2000, 14366, 18639, 1024, 2019, 4824, 1997, 1996, 3252, 1011, 4023, 6550, 2005, 1037, 3928, 2465, 1997, 3424, 11667, 2953, 6074, 1012, 9758, 2863, 26745, 1056, 1010, 1038, 21297, 16862, 1049, 3501, 1010, 19734, 3917, 1046, 1010, 14855, 7295, 3489, 1059, 1010, 8040, 6979, 9397, 1056, 1010, 22615, 1042, 1010, 8040, 10606, 6290, 1040, 1010, 12456, 5804, 1047, 2232, 1010, 24665, 3111, 9912, 1039, 1006, 2494, 1007, 17076, 7974, 18178, 2213, 20014, 3968, 25540, 2140, 4413, 1024, 22582, 2487, 1011, 1019, 1996, 14366, 18639, 1011, 5391, 23758, 3370, 1997, 12532, 4063, 5302, 24198, 5173, 2011, 13221, 2099, 2913, 1999, 5576, 6753, 1037, 2691, 6887, 27292, 22684, 8458, 5686, 2944, 2005, 4958, 14573, 22360, 2638, 1998, 12532, 4063, 5302, 24198, 1012, 10568, 1011, 21877, 16200, 9692, 1058, 2213, 1010, 13970, 13592, 5937, 1047, 1010, 19734, 3917, 1046, 1010, 1048, 7677, 15222, 2121, 1045, 1010, 19162, 1045, 1010, 9758, 2863, 26745, 1056, 1006, 2294, 1007, 17076, 7974, 18178, 2213, 20014, 3968, 25540, 2140, 3429, 1024, 6421, 2620, 2620, 1011, 6365, 2004, 24335, 12589, 23465, 1011, 7790, 16371, 14321, 3370, 1997, 2512, 13013, 7352, 9626, 2140, 12702, 28251, 16308, 2012, 1996, 9099, 1011, 2175, 2140, 5856, 2897, 1012, 1041, 8873, 5302, 2615, 1037, 1010, 1047, 18428, 2669, 4492, 1037, 1010, 1041, 8873, 5302, 3567, 1050, 1010, 8840, 20909, 16816, 1046, 1010, 4679, 7610, 1010, 29219, 13331, 1050, 1010, 18874, 3385, 1052, 1010, 14891, 16084, 2102, 1050, 1010, 23478, 12098, 1010, 25363, 11814, 1010, 20356, 3781, 1010, 23478, 3406, 1044, 1010, 1047, 6806, 2094, 18317, 4492, 1037, 1010, 17712, 13890, 7103, 1037, 1010, 10556, 6299, 3981, 1045, 1006, 2289, 1007, 16475, 3526, 2260, 1024, 6205, 2581, 1011, 2382, 12702, 28251, 9307, 14126, 1997, 16305, 10402, 14067, 2037, 23370, 1998, 4487, 24137, 23247, 1012, 10556, 6299, 3981, 1045, 1010, 1047, 23320, 7274, 2232, 4939, 2050, 1051, 1010, 2235, 1046, 2615, 1006, 2639, 1007, 1046, 3526, 16012, 2140, 16333, 1024, 9800, 2509, 1011, 4008, 26572, 25643, 5666, 13490, 1997, 14366, 18639, 2003, 6827, 1998, 13531, 3526, 9587, 18724, 1998, 2407, 1999, 8915, 6494, 10536, 3549, 2050, 1996, 10867, 7361, 26415, 1012, 8418, 2050, 1048, 1010, 15030, 1038, 1010, 17377, 1061, 1010, 13829, 2063, 1040, 1010, 22794, 27922, 8988, 1054, 1010, 4241, 2319, 1046, 1010, 7987, 2063, 1049, 2232, 1010, 11902, 23697, 2869, 1050, 1010, 2175, 12298, 5874, 5003, 1010, 11721, 8743, 8004, 1046, 1006, 2456, 1007, 1046, 3526, 16012, 2140, 17332, 1024, 11518, 2581, 1011, 10114, 28991, 22828, 14126, 1997, 12702, 28251, 16308, 2000, 15918, 4748, 21471, 2015, 1012, 1047, 23320, 7274, 2232, 4939, 2050, 1051, 1010, 5143, 11382, 1010, 10556, 6299, 3981, 1045, 1010, 2039, 5804, 1045, 1010, 16042, 9589, 6520, 1010, 2235, 1046, 2615, 1010, 2205, 2213, 2890, 1040, 2243, 1006, 2494, 1007, 1046, 3526, 16012, 2140, 17365, 1024, 5594, 2509, 1011, 1023, 12702, 28251, 9307, 15718, 1011, 2203, 2004, 3334, 3029, 2003, 5533, 2011, 2832, 3512, 26236, 3388, 1011, 14366, 18639, 12906, 1012, 15466, 5034, 1010, 11810, 1055, 1010, 5960, 1052, 1010, 2358, 21709, 13890, 8292, 1010, 22209, 2632, 1010, 2821, 2072, 9108, 1010, 23564, 8713, 1049, 1010, 2821, 2072, 1054, 1006, 2760, 1007, 14085, 4012, 23041, 1023, 1024, 20549, 2683, 1996, 2535, 1997, 1996, 15765, 2487, 2361, 21903, 1998, 26629, 16932, 2361, 1999, 21575, 1996, 14447, 1997, 22330, 18715, 10586, 2483, 1999, 27521, 21957, 1012, 19739, 8743, 2378, 4830, 1010, 11132, 1048, 1010, 25760, 16102, 1042, 1010, 14913, 1047, 2140, 1010, 23680, 14511, 2819, 1040, 1006, 2456, 1007, 7861, 5092, 1046, 2539, 1024, 12651, 1011, 2321, 12702, 28251, 9307, 1011, 21575, 12631, 2229, 7076, 1012, 24646, 10623, 8591, 1041, 2290, 1010, 2821, 2072, 1054, 1006, 2286, 1007, 12731, 12171, 16012, 2140, 2603, 1024, 1054, 2683, 21472, 1011, 1022, 1037, 1011, 19627, 16147, 2581, 1010, 1037, 2047, 14366, 18639, 1011, 8031, 4005, 2007, 3424, 22930, 20214, 4023, 1999, 13656, 3526, 3210, 13070, 2000, 2124, 12702, 28251, 9307, 25456, 1012, 11937, 11961, 15315, 1010, 7658, 23969, 1010, 13675, 26010, 1038, 1010, 22770, 26236, 1010, 11345, 6528, 18155, 14855, 1010, 8040, 3686, 2532, 3729, 1010, 8814, 1011, 11789, 3781, 1010, 10097, 1040, 1010, 25850, 1044, 1010, 21069, 14021, 1010, 12835, 8040, 1006, 2541, 1007, 4456, 24501, 6079, 1024, 5139, 17914, 1011, 1019, 2275, 2475, 25003, 6494, 3619, 27709, 3366, 27777, 3526, 5402, 14967, 2011, 8498, 14193, 2389, 22625, 1012, 2852, 7856, 2213, 14220, 2226, 1054, 1010, 1046, 3270, 1040, 2243, 1010, 9686, 2121, 1057, 1010, 5922, 2012, 1010, 14383, 2075, 29488, 1040, 1010, 16480, 6784, 24572, 2100, 1054, 1010, 17684, 1061, 2278, 1010, 9350, 14227, 5349, 1059, 2243, 1010, 21135, 2063, 1049, 3501, 1010, 2277, 2386, 1048, 2015, 1010, 2358, 10404, 2140, 1038, 2094, 1006, 2760, 1007, 23767, 2278, 12737, 24501, 4805, 1024, 14506, 2487, 1011, 15170, 2549, 4942, 27774, 1997, 3424, 7712, 3217, 21102, 10250, 21572, 26557, 7629, 1006, 1055, 18613, 2050, 2620, 1013, 1055, 18613, 2050, 2683, 3375, 1007, 1999, 1996, 22330, 14399, 8523, 2213, 1997, 19817, 16932, 2575, 4958, 8939, 24587, 4442, 2044, 5274, 2011, 27177, 2401, 18847, 5666, 3406, 6914, 2229, 1012, 23564, 2401, 9779, 1010, 20066, 4691, 2669, 1047, 3501, 1010, 9152, 3736, 4502, 5283, 23223, 6826, 1047, 1010, 15775, 17168, 1059, 3501, 1010, 22567, 19413, 1010, 5811, 1047, 2546, 1010, 2014, 2480, 4059, 11338, 1006, 2268, 1007, 14163, 13186, 2389, 10047, 23041, 4747, 1016, 1024, 4724, 1011, 5187, 19995, 28194, 2487, 1013, 3769, 2509, 1059, 2094, 1011, 9377, 5250, 1997, 27521, 21957, 5851, 2015, 13458, 9211, 2083, 12702, 28251, 9307, 11109, 1998, 2089, 2022, 2920, 1999, 28848, 13523, 18924, 1012, 28166, 11439, 7389, 2050, 6335, 1010, 7632, 14660, 1040, 1010, 12849, 22311, 4328, 1047, 1010, 8962, 11823, 4939, 1046, 1010, 7842, 10606, 1042, 1010, 2253, 2480, 1011, 4477, 1047, 1010, 14913, 1047, 2140, 1010, 20251, 1047, 1010, 10930, 25541, 1061, 1010, 13075, 5149, 1048, 1010, 28681, 2050, 1056, 1006, 2541, 1007, 1046, 3526, 16596, 12457, 1024, 27173, 2487, 1011, 2322, 13228, 2135, 3445, 23060, 8524, 6024, 12719, 17715, 2000, 28283, 11461, 1011, 16021, 4747, 12083, 2571, 3596, 1997, 14863, 2696, 1998, 8247, 1011, 3523, 14366, 18639, 1999, 21901, 1005, 1055, 4295, 1012, 10094, 2618, 2572, 1010, 24185, 7096, 20009, 1054, 2140, 1010, 27946, 1048, 3501, 1010, 2358, 14074, 2099, 22889, 1010, 18318, 3170, 29535, 1010, 10856, 2080, 19842, 1010, 25022, 10020, 2080, 1052, 3501, 1010, 4682, 16213, 5887, 1010, 18318, 3170, 1056, 3501, 1006, 2294, 1007, 6904, 3366, 2497, 1046, 2322, 1024, 16471, 2509, 1011, 6640, 6691, 1997, 2002, 24952, 2278, 7554, 2019, 3258, 1011, 18276, 26572, 5051, 13876, 8621, 2000, 9986, 12928, 2595, 2884, 2039, 15166, 1998, 14860, 1012, 3389, 1044, 2232, 1010, 17271, 2063, 28939, 1010, 8915, 6199, 1059, 1010, 14841, 26788, 1054, 2290, 1010, 5035, 21144, 1010, 7570, 1054, 2232, 1006, 2325, 1007, 9587, 2140, 4456, 1996, 2099, 2403, 1024, 5585, 2549, 1011, 2531, 2509, 8208, 1997, 1037, 2309, 6541, 1011, 14366, 18639, 4962, 17174, 2078, 16081, 2229, 3526, 5402, 6545, 6887, 16515, 13874, 2015, 1997, 11867, 10415, 2075, 5387, 14494, 1999, 17266, 7507, 21716, 29297, 2015, 8292, 2890, 11365, 19001, 1012, 7641, 1039, 2290, 1010, 2821, 2072, 1054, 1010, 2033, 22893, 1055, 1010, 1051, 1005, 6994, 2063, 3802, 1010, 4511, 2100, 1049, 1010, 5215, 11937, 1010, 10514, 10177, 2102, 19296, 1010, 23631, 1049, 1010, 14913, 1047, 2140, 1006, 2526, 1007, 9587, 2140, 3526, 16012, 2140, 2570, 1024, 3770, 2487, 1011, 2321, 20461, 1997, 2026, 2278, 1011, 14366, 18639, 8290, 2011, 23760, 8458, 2891, 8458, 10253, 13490, 1997, 1039, 1011, 2026, 2278, 2076, 10210, 12650, 2030, 2011, 9530, 16643, 8525, 6024, 23760, 8458, 2891, 8458, 10253, 13490, 1997, 15527, 1039, 1011, 2026, 2278, 1999, 20934, 8024, 12474, 1005, 1055, 1048, 24335, 8458, 9626, 1012, 23205, 24412, 3211, 1046, 1010, 18856, 11057, 14416, 1043, 1010, 11527, 2015, 1039, 1010, 7296, 5003, 1010, 2035, 13910, 2527, 1039, 3501, 1010, 23686, 1042, 3501, 1010, 7658, 2078, 5034, 1010, 23564, 3900, 2278, 1011, 23686, 1049, 1006, 2456, 1007, 9587, 2140, 3526, 16012, 2140, 2322, 1024, 4720, 2581, 2575, 1011, 6391, 25003, 4383, 1155, 1011, 14366, 18639, 22931, 6807, 1037, 2047, 12702, 28251, 9307, 14080, 2006, 10210, 20214, 12702, 28251, 16308, 1012, 2380, 1045, 2100, 1010, 20209, 16425, 13098, 1052, 1010, 4440, 25457, 1040, 2078, 1010, 8997, 19387, 1010, 4315, 2063, 1054, 1010, 28774, 6844, 19413, 1010, 9350, 14227, 5349, 1059, 2243, 1010, 5232, 18856, 1006, 2355, 1007, 26661, 2015, 1022, 1024, 18914, 2692, 1011, 18914, 2581, 4517, 29215, 2509, 9228, 2007, 3254, 4487, 4246, 18161, 15420, 2008, 5002, 1996, 16371, 14321, 4747, 2271, 1012, 26680, 1048, 3501, 1010, 2158, 7941, 1052, 1010, 23268, 3917, 1046, 1010, 6358, 13966, 17712, 1006, 2355, 1007, 4026, 2459, 1024, 4029, 2683, 1011, 5585, 2512, 1011, 5107, 6545, 7076, 2024, 9530, 16643, 8525, 25499, 3378, 2007, 1996, 18120, 14045, 1998, 15176, 18120, 14045, 3853, 1012, 17429, 1044, 1010, 23025, 8865, 1037, 1010, 22762, 22110, 1010, 16073, 16233, 1010, 19739, 2890, 12933, 1058, 2615, 1010, 3841, 9142, 1046, 2140, 1006, 2230, 1007, 1046, 16012, 2140, 18178, 2213, 21777, 1024, 6640, 16048, 1011, 2756, 14494, 1997, 14366, 18639, 1043, 2135, 5666, 13490, 4573, 7487, 2892, 1011, 2831, 2090, 1996, 1039, 2744, 5498, 1997, 6541, 1011, 1998, 8247, 1011, 14366, 18639, 1998, 7461, 1996, 25022, 6632, 2854, 8185, 1999, 8915, 6494, 10536, 3549, 2050, 1012, 2417, 23941, 2099, 1058, 1010, 11902, 23697, 2869, 1050, 1010, 19354, 12898, 1041, 1010, 18451, 2121, 1046, 1010, 7173, 20822, 1040, 1010, 13829, 2063, 1040, 1010, 11721, 8743, 8004, 1046, 1010, 7987, 2063, 1049, 2232, 1006, 2384, 1007, 1046, 16012, 2140, 18178, 2213, 13427, 1024, 5354, 2575, 1011, 3438, 2575, 5107, 6545, 2378, 8031, 2000, 12702, 28251, 16308, 7336, 1037, 5664, 23758, 3370, 2389, 2689, 1012, 17179, 15488, 1010, 4557, 6520, 1010, 25292, 7295, 3512, 29064, 28008, 7842, 1010, 1047, 7630, 2290, 20116, 1010, 19739, 2890, 12933, 1058, 2615, 1006, 2294, 1007, 1046, 16012, 2140, 18178, 2213, 22955, 1024, 5989, 26187, 1011, 5824, 1996, 10381, 10278, 25688, 2401, 3466, 2953, 10381, 10278, 25688, 4818, 6058, 5250, 1050, 1006, 8872, 2078, 1007, 7367, 15500, 2545, 14366, 18639, 1998, 16263, 12702, 28251, 9307, 3320, 1012, 7905, 9307, 2696, 1056, 2140, 1010, 4241, 1061, 1010, 2394, 6187, 1010, 8840, 2854, 1055, 1010, 8276, 1039, 1010, 2821, 2072, 9108, 1010, 2821, 2072, 1054, 1010, 14437, 2121, 1038, 2860, 1006, 2249, 1007, 1046, 16012, 2140, 18178, 2213, 24921, 1024, 28977, 2683, 2475, 1011, 1022, 3435, 12702, 28251, 9307, 10949, 1999, 19734, 20214, 6714, 27822, 7594, 2011, 2309, 13922, 12126, 1024, 3350, 2008, 1996, 6714, 10362, 4044, 2515, 2025, 27790, 12702, 28251, 16308, 1012, 12201, 2386, 6520, 1010, 24665, 8913, 2078, 1037, 1010, 2821, 2072, 1054, 1010, 11941, 15782, 1056, 1010, 14719, 4890, 1048, 1010, 11857, 10929, 1056, 1006, 2230, 1007, 9587, 2140, 16012, 2140, 3526, 2538, 1024, 25392, 1011, 3943, 8720, 1998, 23191, 1997, 2048, 3117, 8171, 12473, 27521, 21957, 13091, 1011, 14366, 18639, 3375, 3853, 1012, 2310, 25804, 6494, 2213, 1055, 1010, 11937, 16033, 29017, 1010, 10768, 6559, 16774, 7103, 1037, 1010, 14103, 1046, 2140, 1010, 4957, 19128, 1010, 14913, 1047, 2140, 1006, 2432, 1007, 9587, 2140, 16012, 2140, 3526, 2321, 1024, 22238, 2581, 1011, 19123, 20582, 1997, 22330, 14399, 8523, 7712, 1998, 19734, 20214, 6714, 10362, 3320, 22432, 2243, 4972, 2011, 13158, 1038, 1011, 7790, 6887, 2891, 8458, 10253, 13490, 1012, 2821, 2072, 1054, 1010, 20066, 2527, 1056, 1010, 4922, 1046, 1010, 11857, 10929, 1056, 3501, 1006, 2432, 1007, 9587, 2140, 16012, 2140, 3526, 2321, 1024, 27054, 2629, 1011, 3938, 2575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3828, 2039, 2000, 3515, 1003, 1030, 16269, 3877, 26950, 1012, 4012, 1012, 2489, 7829, 2006, 2115, 2034, 2030, 3207, 4811, 1042, 1011, 5018, 1011, 1019, 1012, 1014, 2140, 1006, 19354, 1050, 1010, 5893, 15340, 1007, 4965, 2109, 4811, 1042, 1011, 5018, 9693, 1013, 5209, 2013, 2256, 2897, 2008, 4107, 2039, 2000, 1037, 2048, 1011, 2095, 10943, 2100, 2006, 4591, 3197, 999, 2057, 4287, 1037, 2898, 1011, 7478, 12105, 1997, 2109, 4811, 5209, 2005, 2035, 5097, 2164, 3806, 1998, 7937, 5209, 1037, 4811, 20069, 12376, 22060, 27297, 3194, 1010, 2005, 2742, 1010, 2089, 4906, 1037, 3528, 1997, 4811, 20069, 12376, 4683, 1012, 2174, 1010, 2070, 27297, 5209, 2066, 1996, 4811, 1043, 2140, 2509, 2480, 3194, 16142, 2087, 12241, 2015, 1997, 1996, 4811, 20069, 12376, 2013, 2325, 2000, 2760, 1012, 7687, 1010, 4811, 3143, 5209, 2024, 2081, 2005, 2116, 4811, 4683, 1010, 1998, 1996, 3563, 10328, 2097, 2425, 2017, 2065, 1037, 3056, 27297, 3194, 2097, 2147, 2007, 2115, 4811, 3194, 1019, 1012, 1022, 2140, 19354, 1044, 5893, 15340, 1022, 1011, 28474, 2860, 16142, 5345, 1011, 5989, 4811, 1042, 17788, 2692, 15373, 16785, 2575, 23833, 2629, 1006, 16142, 1024, 2786, 4811, 1042, 1011, 5018, 1007, 1002, 5594, 2683, 1012, 4293, 1012, 2001, 1024, 1002, 3938, 2629, 1012, 4002, 1012, 2489, 7829, 2424, 1996, 2190, 4811, 1042, 1011, 5018, 2005, 5096, 2379, 2017, 1012, 2296, 2109, 2482, 2005, 5096, 3310, 2007, 1037, 2489, 2482, 7011, 2595, 3189, 1012, 2057, 2031, 4008, 1010, 3938, 2620, 4811, 1042, 1011, 5018, 4683, 2005, 5096, 2008, 2024, 2988, 4926, 2489, 1010, 2654, 1010, 3770, 2575, 1015, 1011, 3954, 3765, 1010, 1998, 4090, 1010, 25191, 3167, 2224, 3765, 2917, 2024, 1996, 6434, 3616, 1997, 1996, 2325, 4811, 1042, 1011, 5018, 5209, 1024, 1017, 1012, 1019, 1011, 23675, 14841, 1011, 18315, 2102, 25275, 1024, 26267, 15149, 1998, 23254, 6053, 1011, 3027, 1997, 15894, 1012, 1016, 1012, 1021, 1011, 23675, 25275, 1024, 28906, 15149, 1998, 18034, 6053, 1011, 3027, 1997, 15894, 1012, 1019, 1012, 1014, 1011, 23675, 20457, 14841, 1011, 18315, 2102, 15754, 1024, 24429, 6522, 1998, 4229, 2581, 6053, 1011, 3027, 1997, 15894, 1012, 1017, 1012, 1019, 1011, 23675, 25275, 1024, 19342, 6522, 1998, 17442, 6053, 1011, 3027, 1012, 2054, 2024, 1996, 4762, 4610, 3616, 2005, 2325, 4811, 1042, 1011, 5018, 2256, 4811, 22060, 2146, 3796, 27297, 3194, 2003, 2085, 2006, 5096, 1012, 2023, 1019, 1012, 1014, 23675, 2003, 1037, 6841, 1999, 18851, 2015, 1998, 2060, 2152, 1011, 2836, 5097, 1012, 2122, 9693, 2097, 3104, 4683, 2008, 2024, 7609, 2090, 3261, 1998, 2456, 1012, 2023, 4811, 2146, 3796, 2003, 2521, 2013, 2108, 2115, 10126, 7183, 3194, 3194, 1017, 1012, 1021, 2140, 19354, 1049, 5893, 15340, 13753, 16142, 2340, 1011, 2403, 4811, 20069, 12376, 15373, 3770, 23632, 27531, 2475, 1006, 16142, 1024, 4811, 1042, 1011, 5018, 1007, 1039, 1002, 1016, 1010, 4805, 2487, 1012, 3943, 1012, 2489, 7829, 1012, 2030, 2190, 3749, 1012, 1014, 2140, 15373, 9322, 2005, 5096, 1024, 22582, 2620, 15373, 9322, 1011, 2424, 1012, 1014, 2140, 15373, 9322, 2006, 3293, 4744, 17667, 1012, 2760, 4811, 1042, 1011, 5018, 1010, 1010, 28712, 1010, 3626, 9298, 15373, 1010, 1008, 3194, 1024, 1019, 1012, 1014, 2140, 15754, 15222, 2015, 4316, 2950, 1037, 2769, 1011, 2067, 11302, 1008, 1998, 2979, 2256, 10480, 10569, 2832, 1012, 2190, 1012, 1012, 4811, 20069, 12376, 3115, 9298, 1019, 1012, 1014, 2140, 9322, 2005, 5096, 1024, 1020, 9322, 1011, 2424, 4811, 20069, 12376, 3115, 9298, 1019, 1012, 1014, 2140, 9322, 2006, 3293, 4744, 17667, 3231, 3298, 2109, 4811, 20069, 12376, 2012, 2188, 1999, 4206, 23278, 29522, 1010, 13109, 1012, 3945, 2013, 16333, 2109, 4811, 20069, 12376, 3765, 2005, 5096, 1010, 2164, 1037, 2494, 4811, 20069, 12376, 28712, 2102, 1010, 1037, 2262, 4811, 20069, 12376, 1016, 21724, 3565, 16748, 2860, 1010, 1998, 1037, 2286, 4811, 20069, 12376, 1018, 2595, 2549, 3626, 9298, 17917, 2102, 9680, 4263, 7478, 1999, 3976, 2013, 1002, 1021, 1010, 25897, 2000, 1002, 5585, 1010, 5818, 2629, 2424, 1037, 4811, 1042, 1011, 5018, 2005, 5096, 1996, 2332, 8086, 1006, 1002, 4466, 1010, 3263, 1007, 4076, 2044, 2008, 1010, 8945, 14083, 2075, 1037, 3115, 1019, 1012, 1014, 1011, 23675, 15754, 3194, 1010, 1037, 6556, 11753, 1010, 1037, 6556, 5725, 5867, 2713, 1010, 9685, 4373, 4272, 1010, 1037, 9685, 9602, 5217, 1010, 1037, 2184, 1011, 5882, 8412, 2614, 2291, 1010, 2324, 1011, 1999, 17564, 7787, 1998, 1037, 2186, 1997, 18546, 24947, 4121, 4989, 1997, 4811, 1042, 1011, 5018, 5209, 16021, 17406, 1004, 3201, 2000, 2911, 999, 2655, 2149, 1012, 2256, 3194, 8519, 2097, 2131, 2115, 4811, 2067, 2006, 1996, 2346, 6904, 2015, 4965, 1037, 2109, 4811, 1042, 1011, 5018, 2007, 1037, 15754, 3194, 1024, 4638, 7597, 1998, 9144, 1010, 2424, 2115, 7205, 16743, 5605, 1999, 1996, 2149, 1012, 4811, 1042, 1011, 5018, 2007, 1037, 1019, 1012, 1014, 1011, 23675, 3194, 2005, 5096, 4811, 1042, 1011, 5018, 5209, 2005, 5096, 1012, 4811, 1042, 1011, 5018, 5209, 2005, 5096, 1012, 2030, 2655, 2000, 3713, 2007, 1037, 3298, 23654, 11067, 1012, 4811, 1042, 1011, 5018, 5209, 2005, 5096, 1012, 4811, 22060, 1019, 1012, 1014, 15754, 3194, 6584, 1011, 6205, 1010, 4744, 1010, 2512, 11220, 2256, 3976, 1024, 1002, 1015, 1010, 6275, 2620, 1012, 4002, 1012, 4811, 3998, 1018, 1012, 1023, 1048, 2575, 3194, 5594, 1011, 6564, 4744, 2256, 3976, 1024, 1002, 1016, 1010, 5890, 2475, 1012, 4002, 25682, 4811, 1042, 1011, 5018, 1019, 1012, 1014, 1011, 23675, 20457, 3319, 16481, 15754, 3475, 1005, 1056, 2183, 2185, 5168, 2011, 12049, 3329, 2063, 1011, 2285, 2603, 1010, 12609, 3950, 1999, 1037, 10515, 2440, 1997, 15386, 25275, 5209, 1998, 1037, 2047, 8893, 1010, 1996, 25682, 4811, 1042, 1011, 5018, 20457, 15754, 2003, 2145, 2256, 3601, 2023, 4811, 1042, 1011, 5018, 18058, 1037, 3180, 4895, 19738, 5732, 1058, 1011, 1022, 1019, 1012, 1014, 1048, 1013, 22060, 3194, 2373, 2075, 2023, 6882, 6726, 1012, 3194, 1024, 1019, 1012, 1014, 2140, 15754, 21461, 2615, 1011, 4297, 1024, 1017, 1012, 2861, 17290, 6463, 1010, 1043, 2615, 13088, 1024, 1021, 1010, 2199, 20702, 18093, 7427, 1010, 7787, 1024, 2324, 1005, 3698, 2094, 1011, 13061, 1011, 4297, 1024, 3165, 4993, 10306, 1010, 2376, 8878, 7037, 4224, 2392, 6882, 2250, 14372, 2325, 4811, 1042, 1011, 5018, 2011, 8694, 2099, 3419, 1011, 10507, 1011, 2011, 1011, 7842, 1011, 1017, 1012, 1012, 3107, 1999, 1996, 5940, 4245, 1042, 1011, 5018, 1010, 1996, 1019, 1012, 1014, 3194, 2038, 2042, 1037, 5024, 3194, 5724, 2005, 5608, 1012, 9188, 1996, 20457, 1010, 1996, 1019, 1012, 1014, 3194, 2003, 5868, 2005, 2049, 2373, 1010, 15258, 1010, 1998, 3452, 7496, 1997, 6095, 2109, 2325, 4811, 1042, 1011, 5018, 3626, 9298, 28712, 2102, 1019, 1012, 1014, 18546, 1052, 2243, 2290, 15868, 9331, 2102, 8397, 1004, 4373, 4950, 4744, 2005, 5096, 9192, 1010, 11721, 19235, 17465, 2050, 2109, 2760, 4811, 1042, 1011, 5018, 3626, 9298, 1018, 2595, 2549, 2474, 4360, 2102, 23292, 2549, 18546, 1052, 2243, 2290, 1059, 1013, 1044, 2102, 2094, 1004, 18856, 2094, 14408, 8397, 4744, 2005, 5096, 9192, 1010, 11721, 24429, 2692, 2109, 2760, 4811, 1042, 1011, 5018, 3626, 9298, 1018, 2595, 2549, 23292, 2549, 28712, 2102, 4368, 1052, 2243, 2290, 1059, 1013, 14408, 8397, 1004, 9163, 4744, 2005, 5096, 9192, 1010, 11721, 19235, 16048, 2065, 4811, 2881, 1996, 3194, 2007, 1996, 3514, 28699, 2015, 1997, 1996, 5013, 10419, 1019, 2860, 11387, 1999, 2568, 1010, 1045, 2228, 2027, 2113, 2008, 2027, 2024, 3241, 1012, 1045, 1005, 2310, 2042, 2478, 2009, 2035, 2247, 1999, 2026, 1005, 2324, 1019, 1012, 1014, 1998, 2031, 2018, 2053, 3471, 1012, 1045, 2031, 2657, 1997, 2111, 2183, 2000, 1996, 2184, 2860, 14142, 2065, 2027, 2024, 28379, 2030, 1999, 1037, 2980, 4785, 2424, 1996, 3819, 2109, 4811, 1042, 1011, 5018, 1999, 22954, 1010, 11333, 2011, 6575, 2482, 7011, 2595, 26213, 1012, 2057, 2031, 23475, 4811, 1042, 1011, 5018, 4683, 2005, 5096, 2008, 2024, 2988, 4926, 2489, 1010, 22777, 1015, 1011, 3954, 3765, 1010, 1998, 11827, 3167, 2224, 3765, 4811, 1019, 1012, 1014, 20457, 3194, 2249, 1011, 2297, 4811, 1042, 1011, 5018, 2128, 2386, 16093, 18908, 12165, 1998, 7183, 5209, 2005, 3765, 1998, 9322, 1012, 2164, 1037, 2312, 4989, 1997, 2047, 1010, 2109, 1998, 15726, 5209, 2005, 5096, 1996, 5221, 3194, 1999, 1996, 1042, 1011, 5018, 10515, 2003, 1996, 1019, 1012, 1014, 1011, 23675, 20457, 15754, 2007, 24673, 15149, 1010, 4278, 6053, 1011, 3027, 1997, 15894, 1998, 2019, 2340, 1010, 5174, 9044, 28379, 3977, 1012, 1996, 1017, 1012, 1019, 1011, 23675, 17338, 5092, 14122, 25275, 4107, 1037, 2210, 2625, 15149, 2007, 18034, 1010, 2021, 2009, 4107, 2175, 5910, 2062, 15894, 2012, 21064, 6053, 1011, 3027, 1998, 1996, 3284, 28379, 3977, 2012, 2410, 1010, 3263, 7038, 1996, 1019, 1012, 1014, 2003, 1996, 2069, 1058, 1011, 1022, 2426, 1996, 2416, 2373, 23654, 2015, 3253, 1999, 1996, 25682, 1042, 1011, 5018, 1010, 2021, 4811, 24273, 2008, 2028, 1999, 2176, 17394, 2097, 23569, 2005, 2009, 1010, 2061, 4415, 1996, 1058, 1011, 1022, 2003, 2521, 2013, 2757, 1996, 1019, 1012, 1014, 2140, 15754, 1999, 1996, 12609, 4811, 1042, 1011, 5018, 2003, 1037, 8100, 2004, 8197, 9250, 2809, 1011, 7956, 19526, 2013, 1996, 19160, 3194, 2240, 1012, 2007, 2049, 2312, 7956, 8501, 1010, 2260, 1024, 1015, 13379, 1010, 1998, 2152, 1011, 6627, 13341, 2291, 1010, 2009, 19421, 24673, 15149, 1998, 4278, 6053, 1012, 1011, 3027, 1012, 1997, 15894, 1012, 2096, 2667, 2000, 5630, 2065, 1996, 1019, 1012, 1014, 2140, 15754, 2097, 2147, 2005, 2115, 3791, 1010, 2009, 1005, 1055, 2590, 2000, 4553, 2035, 1012, 3806, 3194, 2786, 4811, 1042, 1011, 5018, 1012, 2023, 2003, 1037, 3143, 2109, 1051, 6633, 3806, 3194, 2008, 1005, 1055, 12361, 2000, 4906, 1996, 2286, 4811, 1039, 1011, 4098, 7751, 1005, 1055, 15480, 1006, 1007, 1012, 2023, 3194, 3320, 2950, 2019, 3194, 3796, 1010, 7956, 4641, 1010, 2132, 3806, 3489, 2102, 1998, 2035, 4722, 11320, 23736, 12921, 3033, 1012, 2023, 3194, 3131, 2038, 2042, 20456, 1010, 7718, 1998, 3201, 2000, 2911, 1996, 2974, 1998, 23292, 2549, 14555, 2024, 2036, 2800, 1010, 2004, 2024, 1996, 1017, 1012, 1019, 1011, 23675, 15386, 22620, 25275, 1998, 1017, 1012, 1014, 1011, 23675, 15386, 18389, 2884, 25275, 1012, 1037, 6090, 6525, 7712, 4231, 3217, 11253, 2003, 2036, 2800, 1012, 1996, 1042, 1011, 5018, 9680, 4263, 4627, 2013, 1002, 4583, 1010, 5018, 5796, 14536, 1012, 2009, 1005, 1055, 2800, 2004, 1037, 3565, 9298, 2030, 3565, 16748, 2860, 1010, 2021, 2069, 2007, 1996, 7820, 2793, 4497, 12609, 4811, 1042, 1011, 5018, 4683, 2005, 5096, 2012, 3765, 1012, 4012, 1012, 2470, 1010, 12826, 1010, 1998, 3828, 26213, 1010, 2030, 3967, 19041, 3495, 2013, 1020, 1010, 5388, 2620, 12609, 1042, 1011, 5018, 4275, 9053, 1996, 2373, 5092, 14122, 1580, 2440, 8893, 2373, 23654, 2038, 1996, 2087, 15894, 1997, 2151, 3194, 1999, 1996, 25682, 1042, 1011, 5018, 10515, 1010, 12771, 19540, 15149, 1998, 24902, 6053, 1012, 1011, 3027, 1012, 1997, 15894, 1012, 1996, 2373, 5092, 14122, 1580, 2291, 9909, 7107, 3751, 15894, 2000, 4811, 1005, 1055, 1017, 1012, 1019, 1011, 23675, 17338, 5092, 14122, 1079, 25275, 1998, 1996, 1018, 2595, 2475, 4275, 2031, 2019, 19044, 1011, 4358, 2846, 1997, 9683, 2661, 2006, 1037, 2309, 4951, 1997, 3806, 1010, 1008, 12771, 1037, 1012, 2424, 1996, 2190, 2109, 2297, 4811, 1042, 1011, 5018, 2379, 2017, 1012, 2296, 2109, 2482, 2005, 5096, 3310, 2007, 1037, 2489, 2482, 7011, 2595, 3189, 1012, 2057, 2031, 1020, 1010, 27502, 2297, 4811, 1042, 1011, 5018, 4683, 2005, 5096, 2008, 2024, 2988, 4926, 2489, 1010, 1016, 1010, 26267, 1015, 1011, 3954, 3765, 1010, 1998, 1019, 1010, 4029, 2509, 3167, 2224, 3765, 1996, 1019, 1012, 1014, 2140, 15754, 3194, 2800, 1999, 1996, 2760, 4811, 20069, 12376, 2003, 1996, 6745, 8349, 1997, 4811, 1005, 1055, 2759, 1998, 4800, 1011, 3800, 20457, 19160, 3194, 2240, 1012, 1996, 20457, 3194, 2179, 1999, 1996, 2760, 4811, 20069, 12376, 18058, 24673, 6522, 1998, 4278, 20850, 1011, 3027, 1997, 15894, 1010, 2019, 7620, 2058, 1996, 2184, 22269, 1998, 2410, 20850, 1011, 3027, 1997, 15894, 2008, 1996, 2325, 1011, 2418, 20069, 12376, 20457, 15754, 18058, 2109, 1004, 2128, 2386, 16093, 18908, 12165, 4811, 5209, 2005, 5096, 1012, 4606, 1010, 2039, 2000, 1037, 1019, 1011, 2095, 10943, 2100, 1010, 2053, 4563, 3715, 2005, 2382, 2420, 1010, 1004, 2489, 7829, 999, 6928, 1011, 5958, 1023, 1024, 4002, 3286, 1011, 1023, 1024, 27995, 3802, 5095, 2184, 1024, 4002, 3286, 1011, 1018, 1024, 27995, 1041, 2000, 2424, 2115, 4811, 20069, 12376, 15373, 3194, 27930, 17445, 2013, 1037, 28667, 2100, 14321, 2099, 2379, 2017, 1010, 2074, 4607, 1996, 2095, 1997, 2115, 4316, 1998, 2115, 14101, 3642, 1999, 1996, 2682, 2433, 1998, 2811, 1996, 2424, 6462, 1012, 1006, 2054, 2017, 2156, 2917, 2003, 1037, 3025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9805, 2361, 1010, 2008, 1521, 1055, 2157, 1011, 1037, 20457, 17755, 2012, 1998, 2699, 2000, 6805, 2033, 9317, 2572, 1012, 2074, 2000, 2022, 3154, 2039, 2392, 1010, 2002, 2134, 1521, 1056, 7532, 1010, 2061, 1045, 2234, 2185, 4895, 15782, 23816, 1012, 1998, 1045, 2134, 1521, 1056, 2156, 1996, 2345, 11192, 2063, 1998, 4692, 6805, 1010, 2061, 1996, 6412, 3310, 2013, 1996, 3124, 1045, 2001, 5559, 2007, 1012, 2217, 3602, 1024, 4092, 1997, 2029, 1010, 1045, 2113, 2023, 2466, 4165, 1037, 2210, 2524, 2000, 2903, 1010, 2061, 1045, 1521, 2222, 5254, 2008, 1045, 2018, 1037, 7409, 1012, 2065, 2017, 1521, 2128, 2920, 1999, 1006, 2346, 1007, 7997, 3868, 2247, 1996, 2001, 4017, 2818, 2392, 1010, 2009, 1521, 1055, 4913, 1039, 1012, 1010, 1037, 4937, 1018, 14878, 2005, 1996, 7412, 9485, 2136, 1012, 4913, 1998, 1045, 2777, 2012, 2026, 2173, 2012, 1020, 3286, 9317, 2851, 2000, 4536, 2039, 2502, 3137, 3413, 1008, 1012, 1045, 2001, 10439, 2890, 10222, 12742, 2055, 5559, 2502, 3137, 2625, 2084, 4466, 2847, 2044, 5559, 2317, 11418, 1010, 2021, 2009, 2253, 2986, 1012, 2057, 2018, 1037, 2261, 11867, 6657, 19099, 2015, 2006, 1996, 6934, 1010, 2021, 4728, 28339, 1996, 12487, 4633, 1012, 1008, 2026, 5156, 9317, 2572, 1523, 6706, 3058, 1524, 1010, 10809, 1011, 4463, 1010, 15358, 2098, 2349, 2000, 2065, 12031, 4633, 1998, 1037, 5931, 2305, 1521, 1055, 3637, 1006, 2002, 2038, 2019, 10527, 2365, 1012, 1007, 2057, 25413, 2210, 3137, 3413, 1010, 2059, 2211, 1996, 2146, 6934, 2091, 20387, 8399, 1012, 2055, 1066, 1015, 1013, 1016, 1037, 3542, 2682, 7920, 1521, 1055, 15736, 1010, 2057, 2387, 1037, 2482, 2718, 1996, 13627, 1998, 25430, 2121, 3726, 3621, 2000, 4468, 7294, 1037, 20457, 1999, 1996, 2346, 1012, 1045, 1521, 2310, 2464, 26880, 2006, 2030, 4077, 1996, 2346, 1999, 20387, 2012, 2560, 1092, 6474, 2335, 2058, 1996, 2627, 2261, 2086, 1010, 2061, 2009, 2347, 1521, 1056, 1037, 2502, 4474, 1012, 2057, 2506, 2091, 1011, 8399, 1010, 2021, 2004, 2057, 5411, 1996, 20457, 1010, 2029, 2018, 3030, 1999, 1996, 2157, 1011, 2192, 3244, 1010, 2057, 9784, 2000, 2105, 2322, 1011, 2423, 8737, 2232, 1998, 7671, 2041, 1037, 2978, 2062, 2046, 1996, 2346, 2000, 2507, 2009, 1037, 2978, 1997, 2282, 1012, 1045, 2001, 2006, 1996, 2157, 1998, 2763, 1037, 7997, 1011, 3091, 1009, 3805, 1997, 4913, 1012, 7955, 4282, 1006, 2030, 6732, 2027, 2113, 1007, 2054, 1037, 20457, 1010, 2064, 2483, 2474, 6494, 3619, 1010, 2003, 1012, 1006, 27263, 2157, 1027, 2915, 1045, 2165, 2039, 2379, 26659, 5098, 2197, 3204, 1012, 2009, 1521, 1055, 2026, 2069, 6302, 1999, 2023, 2695, 1025, 2035, 2500, 2024, 4773, 22956, 1012, 2004, 2057, 1521, 2222, 2156, 1010, 1996, 8087, 2001, 2025, 9530, 8566, 6895, 3726, 2000, 5855, 1010, 2130, 2065, 1045, 2018, 2018, 1037, 4950, 2007, 2033, 1529, 1007, 2009, 1521, 1055, 2008, 2210, 3124, 2008, 3504, 2066, 1037, 2235, 4702, 1998, 12316, 4523, 1998, 22912, 2015, 2012, 2305, 1012, 2062, 4919, 1010, 2009, 1521, 1055, 1037, 3748, 21659, 28735, 1010, 1998, 2763, 1996, 2069, 3748, 21659, 28735, 2087, 4841, 2031, 2412, 2464, 2030, 2657, 1012, 2067, 2043, 2111, 2034, 3369, 1999, 2167, 2637, 1010, 2045, 2020, 1017, 1008, 2691, 1010, 6923, 21659, 28735, 2015, 1006, 2295, 2000, 2022, 4189, 1010, 1996, 18704, 4702, 1010, 2064, 2483, 16101, 2271, 1006, 5059, 2187, 1007, 1010, 2003, 6878, 2000, 2031, 2042, 3952, 1037, 8040, 10696, 11392, 1010, 2007, 1037, 9580, 2714, 2000, 2008, 1997, 1037, 2715, 1044, 20684, 2050, 1012, 1007, 2028, 1997, 2216, 28735, 2015, 2001, 1037, 1523, 3522, 1524, 12324, 1010, 2028, 2001, 2019, 1523, 2137, 2434, 1524, 1010, 1998, 1996, 2197, 2001, 4066, 1997, 2019, 2137, 2434, 1010, 12167, 2007, 2070, 2393, 2013, 2256, 8581, 9983, 2000, 1996, 2148, 1012, 1008, 9641, 2033, 1010, 1045, 1521, 1049, 15734, 9217, 1996, 2417, 4702, 1010, 2064, 2483, 18316, 1010, 2182, 1012, 2049, 2846, 1010, 2381, 1010, 6622, 1010, 14471, 1998, 1996, 3277, 1997, 2049, 13848, 1523, 2427, 1011, 23384, 1524, 2024, 2074, 2205, 2502, 2005, 2033, 2000, 11147, 1999, 2023, 2695, 1012, 28735, 2015, 2004, 1037, 2177, 2761, 7964, 1999, 2167, 2637, 1012, 8588, 1998, 4968, 6077, 7964, 2013, 28735, 2015, 2008, 13447, 2000, 1996, 2214, 2088, 1012, 8588, 2059, 1523, 2513, 1524, 2000, 2167, 2637, 3081, 2022, 4892, 2401, 2195, 3634, 4595, 1008, 2086, 3283, 1012, 1008, 1045, 1521, 2310, 2179, 10035, 2005, 5973, 2090, 3998, 1010, 2199, 1998, 5385, 1010, 2199, 1012, 27250, 1024, 1996, 6622, 1997, 4968, 6077, 2003, 2126, 8552, 1010, 2126, 17160, 1998, 2126, 2648, 1996, 9531, 1997, 2023, 2695, 1012, 2065, 2017, 1521, 2128, 4699, 1010, 4638, 2041, 2023, 2695, 1010, 2029, 5696, 4197, 2000, 1037, 2261, 2706, 3283, 1999, 2010, 28735, 2695, 1012, 2021, 2045, 2024, 1016, 4248, 2202, 1011, 2185, 2015, 4276, 18625, 2055, 6077, 1010, 8588, 1998, 26880, 1024, 2034, 1010, 2027, 2064, 2035, 6970, 13578, 2098, 1010, 5155, 14946, 13195, 1008, 1012, 1998, 2117, 1010, 3563, 2015, 4998, 1010, 6077, 2020, 4968, 4383, 1006, 2129, 2116, 2335, 3475, 1521, 1056, 3154, 1007, 2013, 8588, 1010, 3574, 2008, 2115, 3899, 1010, 2065, 2017, 2031, 2028, 1010, 2003, 2062, 4876, 3141, 2000, 1037, 4702, 1006, 27263, 2157, 1007, 2084, 2009, 2003, 2000, 1037, 20457, 1012, 1008, 1045, 2903, 1016, 2060, 2214, 2088, 28735, 2015, 2064, 2036, 5147, 6970, 13578, 2098, 2007, 6077, 1012, 1045, 1521, 1049, 3492, 2469, 2028, 2003, 1996, 15101, 4702, 1529, 1045, 5293, 1996, 2060, 2012, 1996, 2617, 1529, 2055, 1017, 2454, 2086, 3283, 1010, 2167, 1998, 2148, 2637, 2020, 2587, 2012, 1996, 21541, 14227, 2271, 1997, 8515, 1010, 5026, 2055, 1996, 2307, 2137, 8989, 1008, 1010, 1998, 2178, 2177, 1997, 28735, 2015, 13447, 2000, 2148, 2637, 1010, 2073, 2027, 7964, 2046, 2035, 11901, 1997, 28735, 2015, 1010, 2164, 1996, 18704, 4702, 1010, 2029, 2101, 13447, 2067, 2039, 2046, 2167, 2637, 1010, 2763, 2105, 6352, 1010, 2199, 2086, 3283, 1012, 2021, 1996, 20457, 2196, 1523, 2253, 1524, 5973, 1012, 2009, 7964, 2013, 28735, 10748, 2182, 1999, 2167, 2637, 1012, 1008, 2029, 2001, 2126, 4658, 1998, 2029, 1045, 4541, 1999, 2023, 2695, 1012, 21501, 19680, 3372, 2007, 1996, 5508, 1997, 4286, 1010, 2087, 1997, 1996, 2167, 2137, 13164, 7011, 9521, 2150, 8548, 1010, 2164, 1996, 18704, 4702, 1008, 1012, 2061, 2043, 13481, 3369, 1010, 2045, 2020, 1016, 6923, 21659, 28735, 2015, 2006, 1996, 9983, 1012, 1008, 2023, 10147, 12681, 2007, 2049, 4011, 8040, 10696, 11392, 9580, 1010, 2004, 2087, 1997, 1996, 2312, 4176, 2588, 2029, 2009, 10712, 2442, 2031, 8040, 10696, 21558, 2253, 8548, 2105, 2023, 2168, 2051, 1012, 8588, 2411, 3102, 1998, 4521, 26880, 1008, 1999, 1996, 3748, 1010, 1998, 2366, 2000, 5787, 2037, 3616, 1998, 2846, 1999, 2335, 2627, 1012, 2021, 2058, 1996, 2197, 3232, 1997, 4693, 1010, 8588, 2020, 3053, 5892, 2013, 1996, 2896, 4466, 2163, 1010, 1998, 2004, 1037, 2765, 26880, 2031, 4423, 2037, 2846, 14388, 2135, 2058, 1996, 2197, 2301, 1010, 2651, 7478, 3154, 2013, 3050, 3349, 2000, 4880, 19429, 1012, 1999, 2023, 4847, 1010, 26880, 2024, 2028, 1997, 2216, 1523, 21598, 1524, 4176, 2040, 2006, 1996, 2878, 2031, 5770, 3064, 14388, 2135, 2013, 2647, 4093, 1997, 2167, 2637, 1008, 1008, 1012, 1008, 2502, 4176, 2411, 3102, 1998, 4521, 2714, 1010, 3760, 4176, 1012, 8588, 3102, 26880, 1012, 26880, 3102, 2235, 6077, 1012, 2502, 6077, 3102, 26880, 1012, 3137, 7212, 3102, 3960, 19588, 1012, 3960, 19588, 3102, 2160, 19588, 1012, 1998, 2502, 25662, 2015, 1010, 2107, 2004, 4286, 1998, 9610, 8737, 2319, 23940, 2015, 1010, 3102, 1998, 4521, 17059, 1012, 2045, 2024, 2130, 22529, 2229, 2008, 8336, 2588, 1996, 9673, 1997, 2060, 1010, 3760, 22529, 2229, 1012, 1008, 1008, 8588, 2089, 2031, 5281, 1037, 2714, 4935, 1997, 2846, 1013, 23370, 1997, 6975, 3778, 1066, 2340, 1010, 2199, 2086, 3041, 1010, 2043, 1996, 18704, 4702, 2150, 8548, 1012, 1998, 24665, 10993, 2480, 11983, 2089, 2031, 2004, 2092, 1010, 2206, 1996, 14446, 1997, 1996, 2460, 1011, 4320, 4562, 2157, 2105, 1996, 2168, 2051, 1012, 5875, 2135, 2295, 1010, 26880, 1998, 8588, 2823, 6775, 1999, 1996, 3748, 1010, 2788, 1999, 2752, 2073, 2045, 4995, 1521, 1056, 1037, 2843, 1997, 8588, 1012, 1998, 1999, 2755, 2045, 1521, 1055, 3350, 2008, 2004, 26880, 13447, 17318, 2408, 2670, 2710, 2058, 1996, 2197, 2301, 1010, 2027, 2089, 2031, 6970, 13578, 2094, 2007, 8588, 2247, 1996, 2126, 1010, 4525, 1999, 2789, 26880, 2008, 2024, 1037, 2978, 7046, 1006, 1998, 2672, 2130, 1037, 2210, 2062, 9376, 1007, 2084, 2530, 26880, 1012, 27250, 1024, 3752, 1996, 2682, 1010, 2028, 2071, 2022, 16312, 2000, 2228, 1997, 26880, 1999, 1996, 2168, 4696, 2004, 2600, 27567, 1010, 11432, 1010, 2160, 19479, 2015, 2030, 1006, 2446, 1007, 10338, 3217, 15395, 2015, 1010, 2035, 1997, 2029, 2031, 2036, 5770, 3064, 2013, 2647, 4093, 1012, 2021, 2216, 4364, 2024, 2035, 12564, 2015, 1012, 1037, 2488, 2714, 2742, 2003, 1996, 2829, 1011, 3753, 11190, 9001, 1010, 2178, 2167, 2137, 3128, 2040, 1521, 1055, 6660, 2464, 2049, 2846, 7818, 12099, 2206, 9944, 25531, 2319, 4093, 1012, 2067, 2000, 1996, 2466, 2525, 1996, 20457, 2768, 1998, 3592, 2004, 2057, 5411, 1012, 2043, 1045, 2001, 2672, 2184, 1011, 2321, 2519, 2185, 1010, 1998, 8074, 2009, 2000, 10053, 1010, 2009, 2106, 2242, 3294, 9223, 1011, 2009, 3706, 2830, 1010, 2582, 2041, 2046, 1996, 2346, 1012, 1045, 2064, 1521, 1056, 3243, 2360, 3251, 1045, 2218, 2026, 2240, 2030, 25430, 25944, 1037, 14841, 10649, 2000, 1996, 2187, 1010, 2021, 1999, 1996, 2279, 12884, 1997, 1037, 2117, 1010, 2004, 1045, 2979, 2009, 2011, 1010, 1045, 11156, 5573, 4367, 2646, 2033, 1999, 2026, 15965, 4432, 1010, 1998, 2471, 3202, 2657, 4913, 14315, 1523, 4485, 999, 1524, 1045, 2371, 2053, 4254, 1998, 2921, 3048, 1012, 4913, 2855, 3236, 2039, 1998, 2409, 2033, 2054, 2018, 3047, 1024, 27250, 1024, 1996, 3154, 19728, 1998, 6881, 2791, 1997, 2023, 2724, 2038, 2025, 6376, 2033, 1012, 9317, 2851, 1045, 2288, 2039, 2220, 1010, 2404, 2039, 1037, 2695, 2183, 2006, 1998, 2006, 2055, 2129, 2307, 2026, 4632, 2246, 1010, 15749, 2098, 2041, 1997, 1996, 2160, 1010, 1998, 13364, 2018, 1037, 3748, 4111, 3535, 2000, 6805, 2168, 4632, 1012, 5667, 1010, 1059, 24475, 2003, 2183, 2006, 1029, 2057, 5720, 2055, 2009, 2006, 1996, 2126, 2091, 1012, 4913, 4999, 2065, 2009, 2453, 2022, 10958, 17062, 1010, 2021, 1996, 20457, 2347, 1521, 1056, 4760, 17952, 2012, 1996, 2677, 1010, 2030, 24845, 2075, 2030, 2505, 1010, 1998, 2009, 4332, 2041, 2008, 2096, 4491, 2006, 4286, 2024, 4678, 1010, 2027, 1521, 2128, 2025, 4895, 26362, 1997, 1012, 1999, 2755, 2058, 1996, 2197, 3232, 1997, 5109, 2027, 1521, 2128, 2893, 2062, 2691, 1012, 2348, 2053, 2028, 1521, 1055, 2042, 2730, 2011, 1037, 20457, 1999, 2471, 1017, 5109, 1010, 2195, 4491, 5258, 2169, 2095, 2408, 1996, 2149, 1012, 2087, 2107, 10444, 9125, 26880, 2029, 2031, 2468, 10427, 16453, 2000, 1010, 2030, 2130, 7349, 2011, 1010, 4286, 1012, 1996, 3484, 1997, 20457, 4491, 2006, 4286, 4539, 2235, 2336, 1010, 2061, 2065, 2017, 2031, 2210, 4268, 1010, 2009, 1521, 1055, 1037, 2204, 2801, 2000, 6570, 2068, 2055, 26880, 1010, 1998, 2000, 2425, 2068, 2000, 2954, 2067, 2065, 4457, 1011, 2770, 2185, 2987, 1521, 1056, 2147, 1008, 2007, 26880, 1025, 2027, 2064, 9043, 2039, 2000, 2871, 5601, 1998, 5376, 21549, 2039, 2000, 1022, 2519, 2152, 1012, 1008, 4445, 2515, 2652, 2757, 1012, 2770, 2453, 2022, 27118, 2094, 11365, 3085, 1010, 2021, 15749, 2075, 19448, 2790, 2000, 2079, 1996, 7577, 2005, 2149, 1025, 19863, 2063, 1041, 1012, 3478, 2000, 2507, 5252, 1012, 2021, 1045, 2097, 2022, 1037, 2978, 2625, 1038, 25002, 1996, 2279, 2051, 1045, 3962, 1037, 20457, 1999, 1996, 18455, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 18341, 2236, 2063, 25174, 2094, 2011, 3306, 7016, 5325, 2044, 17710, 2099, 13469, 2140, 1999, 1037, 5299, 2282, 2006, 1996, 20883, 2723, 1997, 18341, 2236, 2063, 1006, 1043, 2571, 1007, 7842, 1521, 1055, 4029, 1011, 2466, 4075, 1999, 2530, 3000, 1010, 2372, 1997, 1996, 2924, 1521, 1055, 9861, 2491, 2136, 8152, 2012, 2037, 7588, 1010, 8040, 22134, 5498, 6774, 1996, 14279, 2108, 6472, 2011, 16743, 1999, 2809, 6202, 4734, 2006, 1996, 8158, 2917, 1012, 2027, 1521, 2128, 6575, 2005, 15774, 2008, 18341, 2236, 2063, 2453, 6496, 2178, 11120, 17710, 2099, 13469, 2140, 1010, 1996, 3502, 11033, 2040, 2924, 4584, 3603, 1999, 2254, 2263, 2018, 22151, 2070, 2753, 4551, 19329, 1006, 1002, 5824, 4551, 1007, 1997, 24641, 14279, 1011, 1011, 2029, 1010, 2043, 4895, 12155, 8630, 1010, 3465, 1996, 2924, 1018, 1012, 1023, 4551, 19329, 1999, 6409, 1012, 1996, 22889, 13765, 26830, 8556, 2043, 1037, 17667, 27099, 2028, 1997, 2055, 3770, 2367, 9499, 2015, 2328, 2046, 1996, 2924, 1521, 1055, 16350, 3036, 2291, 1010, 22950, 6089, 4311, 1999, 2049, 2244, 3277, 1012, 2027, 2421, 17003, 1037, 9944, 6202, 5787, 1010, 13366, 2121, 4892, 1037, 12598, 3058, 2030, 7989, 2000, 2202, 10885, 1011, 1011, 2035, 5248, 2008, 17710, 2099, 13469, 2140, 1010, 2085, 16004, 1037, 9861, 10652, 1998, 1037, 2093, 1011, 2095, 3827, 6251, 1010, 6913, 2004, 2002, 16460, 2699, 2000, 3104, 3308, 1011, 2126, 29475, 2006, 1996, 3257, 1997, 1996, 4518, 3006, 1012, 1523, 2057, 3107, 3563, 7711, 2000, 3457, 2114, 2054, 17710, 2099, 13469, 2140, 2106, 1010, 1524, 2758, 7367, 6299, 2378, 9298, 20147, 2015, 1010, 1996, 2924, 1521, 1055, 4112, 2708, 3237, 2961, 2007, 5368, 2005, 9861, 1998, 3891, 2491, 1012, 1523, 2057, 2064, 2085, 2360, 2008, 2010, 2785, 1997, 9861, 2003, 2053, 2936, 2825, 1012, 1524, 2007, 17710, 2099, 13469, 2140, 1999, 2568, 1010, 27084, 6914, 5766, 15296, 15068, 3207, 2050, 2038, 2081, 1523, 3930, 2007, 2896, 3891, 1524, 2010, 2327, 9470, 2144, 2635, 2058, 2605, 1521, 1055, 2117, 1011, 2922, 2924, 2011, 3006, 3643, 1999, 2263, 1010, 15192, 1996, 7655, 2471, 2296, 2051, 2002, 8847, 2000, 18288, 1010, 9387, 1998, 1996, 2811, 1012, 3082, 5483, 7524, 2651, 1010, 15068, 3207, 2050, 1010, 4466, 1010, 5344, 22010, 2013, 1037, 2367, 3257, 1012, 27084, 6914, 1998, 2060, 2413, 5085, 2024, 4600, 6086, 2000, 1996, 11074, 1011, 7016, 5325, 4372, 15985, 17686, 5483, 1998, 2060, 9944, 1011, 4224, 3741, 1012, 27084, 6914, 8617, 6070, 3867, 1997, 7571, 1011, 2241, 8991, 17471, 2924, 1006, 1056, 6914, 1007, 7842, 1011, 1011, 3005, 4518, 2001, 2091, 4868, 1012, 1023, 3867, 2023, 2095, 2004, 1997, 2251, 2423, 1011, 1011, 1998, 2218, 1016, 1012, 1019, 4551, 19329, 1997, 3306, 7016, 2012, 1996, 2203, 1997, 2233, 1010, 27084, 6914, 2988, 1012, 1523, 1037, 12398, 2011, 5483, 2052, 9495, 1037, 25539, 2005, 18341, 2236, 2063, 1010, 1524, 2758, 7445, 1011, 17878, 3417, 2050, 1010, 2040, 7126, 17467, 1002, 4278, 2454, 1010, 2164, 27084, 6914, 6661, 1010, 2012, 3000, 1011, 2241, 5211, 3813, 1997, 2072, 16216, 16643, 2239, 26927, 3726, 2063, 1012, 15068, 3207, 2050, 16818, 1996, 2924, 2038, 1996, 4219, 2000, 4633, 3649, 6433, 1999, 5483, 1012, 1523, 2445, 2256, 7524, 2000, 3306, 11074, 7016, 1010, 1996, 3622, 4254, 1997, 2151, 18322, 11967, 2052, 2022, 6133, 3085, 2005, 1996, 2924, 1010, 1524, 2002, 2056, 2006, 2238, 2654, 1012, 14434, 1521, 1055, 17016, 2091, 24170, 27084, 6914, 1521, 1055, 3306, 7524, 2001, 2028, 3114, 14434, 1521, 1055, 9387, 2326, 2623, 2006, 2238, 2321, 2008, 2009, 2001, 15252, 1996, 18496, 2121, 1521, 1055, 5790, 1998, 2008, 1997, 2048, 2060, 2502, 2413, 5085, 1999, 11162, 1997, 1037, 2091, 24170, 1012, 2605, 4324, 2062, 3306, 10940, 2084, 2151, 2060, 2647, 2406, 1024, 1002, 5179, 1012, 1021, 4551, 1010, 2164, 1002, 2321, 4551, 1999, 11074, 7016, 1010, 1996, 14040, 1010, 5288, 1011, 2241, 2924, 2005, 2248, 7617, 2758, 1012, 2004, 1996, 3059, 5325, 23959, 1010, 27084, 6914, 1521, 1055, 6661, 16687, 1010, 4634, 2403, 1012, 1018, 3867, 2013, 2251, 1015, 2000, 2251, 2340, 1012, 1996, 18496, 2121, 1521, 1055, 6661, 18303, 1019, 1012, 1019, 3867, 2062, 2006, 2251, 2324, 2206, 1996, 2713, 1997, 1996, 3463, 1997, 6911, 5852, 4146, 2011, 1996, 2647, 8169, 3691, 2006, 3938, 5085, 1010, 2164, 27084, 6914, 1012, 1523, 1996, 5852, 2265, 2008, 18341, 2236, 2063, 2003, 2012, 1996, 5725, 2203, 1997, 2312, 2647, 5085, 1010, 2007, 1037, 3007, 2597, 2008, 1521, 1055, 2062, 7121, 2084, 7046, 9169, 1010, 1524, 2758, 8173, 15775, 9307, 2102, 1010, 2040, 7126, 6133, 2062, 2084, 3263, 2454, 19329, 1010, 2164, 27084, 6914, 6661, 1010, 2012, 18318, 3366, 27390, 5446, 1010, 2019, 5211, 3813, 1999, 3000, 1012, 2047, 15358, 5833, 2933, 2647, 2586, 4584, 2623, 1037, 2047, 5343, 7427, 2005, 5483, 2044, 6089, 2701, 2006, 2251, 2538, 1999, 2029, 2009, 2052, 2022, 2445, 18914, 4551, 19329, 1997, 2047, 4681, 2007, 2896, 3037, 6165, 1998, 2936, 24565, 3672, 3408, 1012, 2797, 5085, 3530, 2000, 5589, 1999, 1996, 5343, 2011, 3015, 2091, 1996, 3643, 1997, 2037, 3306, 9547, 2011, 2538, 3867, 2004, 2112, 1997, 1037, 5416, 3863, 1998, 7016, 4965, 5963, 2565, 1012, 27084, 6914, 1998, 24869, 2361, 11968, 18410, 2015, 1006, 24869, 2361, 1007, 7842, 1010, 2605, 1521, 1055, 2922, 2924, 1010, 2024, 2426, 5085, 4637, 1996, 2933, 1010, 2429, 2000, 1037, 4861, 2011, 1996, 2899, 1011, 2241, 2820, 1997, 2248, 5446, 1012, 27084, 6914, 1521, 1055, 6661, 5598, 1020, 1012, 1016, 3867, 2006, 2251, 2538, 1010, 2000, 4229, 1012, 2603, 19329, 1010, 1999, 11162, 1997, 1996, 3820, 1012, 1996, 6661, 2701, 7483, 2012, 4029, 1012, 2676, 1012, 1523, 2009, 1521, 1055, 6581, 2739, 2005, 5085, 1010, 2164, 27084, 6914, 1010, 1524, 15775, 9307, 2102, 2758, 1012, 3458, 1996, 11074, 1011, 7016, 5325, 1010, 15068, 3207, 2050, 2758, 2002, 2038, 8280, 1996, 3314, 2008, 2031, 3303, 16471, 1011, 2095, 1011, 2214, 27084, 6914, 2000, 4558, 2048, 1011, 12263, 1997, 2049, 3006, 3643, 2144, 2289, 1012, 2006, 1996, 2168, 2154, 2008, 2924, 12706, 2623, 17710, 2099, 13469, 2140, 1521, 1055, 9861, 1999, 2254, 2263, 1010, 2027, 21362, 2027, 2018, 2579, 1016, 1012, 1015, 4551, 19329, 1999, 4339, 7698, 2015, 1010, 3262, 2114, 1057, 1012, 1055, 1012, 7016, 12012, 27084, 6914, 2218, 1012, 2008, 2357, 2041, 2000, 2022, 2074, 1037, 2235, 2112, 1997, 2055, 2340, 4551, 19329, 1999, 4923, 6409, 1998, 4339, 7698, 2015, 1996, 2924, 2038, 2988, 2144, 2289, 1012, 1998, 27084, 6914, 2145, 2038, 2756, 1012, 1019, 4551, 19329, 1997, 12012, 1999, 2049, 8027, 7045, 2407, 1010, 2029, 4324, 19188, 3259, 3005, 3006, 3643, 22088, 11368, 2098, 2076, 1996, 3361, 5325, 1012, 15068, 3207, 2050, 1521, 1055, 9861, 7711, 2024, 2112, 1997, 1037, 3469, 17118, 1012, 1996, 5766, 2038, 4117, 1996, 2320, 1011, 8392, 10067, 16942, 3131, 1010, 2073, 17710, 2099, 13469, 2140, 2499, 1010, 2007, 1996, 4964, 1011, 3318, 3169, 1010, 19765, 2035, 1997, 1996, 2924, 1521, 1055, 13066, 2046, 1037, 2309, 3007, 1011, 6089, 2407, 1012, 1999, 2804, 2000, 9384, 1010, 17785, 6202, 6537, 1010, 1996, 2924, 2038, 9770, 1037, 21298, 1997, 2060, 3036, 5761, 1010, 2164, 16012, 12589, 9537, 1998, 6976, 20786, 3431, 2005, 3095, 2372, 6224, 3229, 2000, 18777, 3361, 2951, 1012, 2145, 1010, 15068, 3207, 2050, 1521, 1055, 3452, 5656, 2003, 2210, 2904, 2013, 2008, 1997, 2010, 8646, 1998, 10779, 1010, 3817, 10094, 2239, 1010, 2758, 15775, 9307, 2102, 1012, 10094, 2239, 5295, 2004, 5766, 1999, 2263, 1999, 1996, 5256, 1997, 1996, 17710, 2099, 13469, 2140, 9446, 1012, 1996, 18496, 2121, 16803, 2005, 2055, 2431, 1997, 2049, 11372, 2006, 2049, 5971, 1998, 5211, 2924, 1012, 2008, 2407, 2038, 2069, 2028, 4031, 1999, 2029, 2009, 1521, 1055, 1037, 2088, 3003, 1024, 10067, 16942, 1010, 2029, 2024, 7047, 2006, 15768, 1998, 4518, 5950, 2229, 2008, 1996, 2924, 9005, 2005, 6304, 1998, 14279, 2005, 2049, 2219, 4070, 1012, 1998, 15068, 3207, 2050, 1010, 2066, 10094, 2239, 1010, 2003, 2559, 2005, 2925, 3930, 1999, 20606, 8361, 6089, 1010, 2164, 3607, 1998, 1996, 2690, 2264, 1012, 1523, 2026, 6614, 2003, 2000, 5676, 2008, 18341, 2236, 2063, 3544, 2012, 1996, 2203, 1997, 2176, 2086, 2004, 2028, 1997, 1996, 10473, 5085, 1999, 2023, 5957, 1010, 1524, 15068, 3207, 2050, 2758, 1010, 9775, 1037, 3602, 15455, 1998, 1010, 2007, 9170, 7279, 13692, 1010, 5059, 1037, 13587, 16403, 4760, 2885, 2004, 1996, 2924, 1521, 1055, 9594, 1998, 1996, 2690, 2264, 1010, 2167, 3088, 1998, 3607, 2004, 1996, 3764, 2015, 1012, 2012, 2560, 2005, 1996, 2460, 2744, 1010, 2008, 8426, 2003, 11878, 27084, 6914, 1521, 1055, 3953, 2240, 1012, 27084, 6914, 1521, 1055, 2432, 7654, 1997, 8991, 17471, 2924, 2038, 2196, 3687, 2009, 1037, 10647, 1012, 1999, 2230, 1010, 1996, 3306, 18496, 2121, 1521, 1055, 6409, 2471, 17718, 21531, 3709, 2000, 27517, 2454, 19329, 1010, 2004, 9561, 2270, 1011, 5938, 7659, 9784, 1996, 4610, 1012, 2006, 2089, 1018, 1010, 8991, 17471, 2988, 1037, 2034, 1011, 4284, 3279, 1997, 5818, 1012, 1020, 2454, 19329, 1010, 3313, 2049, 15074, 1997, 1037, 2095, 3041, 1012, 3136, 2012, 27084, 6914, 1521, 1055, 2897, 1997, 7027, 2924, 5628, 1999, 1996, 2690, 2264, 1010, 2164, 5279, 1010, 13437, 1998, 2176, 2060, 3032, 1010, 2031, 2042, 20275, 2011, 1996, 17930, 2045, 1012, 1998, 1996, 2924, 2038, 1037, 6352, 1011, 3589, 7027, 2897, 1999, 3607, 2008, 2013, 2263, 2000, 2230, 3465, 2009, 2055, 10332, 2454, 19329, 1010, 2429, 2000, 27084, 6914, 2951, 1012, 6576, 2138, 1997, 2049, 7524, 2000, 1996, 2690, 2264, 1998, 5483, 1010, 27084, 6914, 2988, 2006, 2089, 1019, 2008, 2034, 1011, 4284, 5618, 3062, 2403, 3867, 2013, 1037, 2095, 3041, 1010, 2000, 6205, 2575, 2454, 19329, 1012, 15068, 3207, 2050, 2409, 15337, 2006, 2089, 2484, 2008, 1996, 3522, 2919, 2739, 2910, 1521, 1056, 6573, 1996, 2924, 2125, 2650, 1012, 14453, 2011, 2049, 15282, 2413, 7027, 2924, 1010, 2029, 2038, 3687, 1015, 4551, 19329, 2030, 2062, 2296, 2095, 2144, 2384, 1010, 27084, 6914, 2001, 2028, 1997, 1037, 15357, 1997, 2502, 2647, 5085, 2000, 2272, 2083, 1996, 3361, 5325, 2302, 3974, 2769, 1012, 5658, 3318, 2001, 1016, 4551, 19329, 1999, 2263, 1998, 6163, 2620, 2454, 19329, 1999, 2268, 1012, 15068, 3207, 2050, 1521, 1055, 3125, 2003, 2000, 8116, 1037, 5618, 1997, 1020, 4551, 19329, 1999, 2262, 1012, 2028, 3927, 2000, 2008, 3125, 2003, 1996, 4935, 1997, 27084, 6914, 1521, 1055, 5211, 2924, 1999, 2752, 2107, 2004, 28585, 1998, 19530, 1010, 15068, 3207, 2050, 2758, 1012, 2144, 3054, 1011, 2230, 1010, 2002, 2038, 2794, 2321, 3026, 1049, 1004, 1037, 12706, 2105, 1996, 2088, 1010, 14763, 2070, 1997, 2068, 2013, 10159, 4923, 24086, 11393, 2177, 12943, 1006, 20116, 16206, 1007, 1010, 16545, 5302, 16998, 5252, 1004, 2522, 1012, 1006, 16545, 2213, 1007, 1998, 24869, 2361, 11968, 18410, 2015, 1012, 1523, 1996, 2502, 2769, 1999, 5211, 8169, 1010, 1999, 1037, 2088, 2008, 5942, 2062, 1998, 2062, 3007, 1010, 2003, 7319, 1010, 3988, 2270, 14927, 1998, 10067, 6202, 1010, 1524, 2758, 2848, 24266, 1010, 1037, 2934, 1997, 5446, 2012, 2414, 1521, 1055, 16220, 2449, 2082, 1998, 1037, 2280, 6605, 2472, 2012, 25022, 3775, 17058, 4297, 1012, 1006, 1039, 1007, 2004, 1997, 2251, 2423, 1010, 27084, 6914, 4396, 5550, 1999, 3795, 1049, 1004, 1037, 1010, 2429, 2000, 2951, 9227, 2011, 22950, 1012, 5564, 1010, 27084, 6914, 4247, 2000, 2191, 2769, 3081, 10067, 16942, 1012, 2027, 5201, 2062, 2084, 2423, 3867, 1997, 4341, 2005, 1996, 2177, 1521, 1055, 5971, 1011, 18435, 1998, 5211, 1011, 8169, 2407, 1999, 2230, 1010, 2429, 2000, 10035, 2011, 27005, 2078, 11113, 7140, 15006, 20240, 2078, 1010, 1037, 2414, 1011, 2241, 12941, 2012, 16545, 5302, 16998, 1012, 6012, 17765, 22818, 1523, 18341, 2236, 2063, 2038, 1037, 21688, 10067, 16942, 2449, 1010, 1524, 2758, 11113, 7140, 15006, 20240, 2078, 1010, 2040, 19939, 2015, 2008, 1999, 2249, 1010, 1996, 2413, 2924, 1521, 1055, 3131, 2097, 2022, 2053, 1012, 1015, 4969, 1010, 3805, 1997, 17765, 22818, 2177, 4297, 1012, 1006, 28177, 1007, 27084, 6914, 2097, 2031, 1002, 1017, 1012, 1023, 4551, 1997, 6599, 2013, 10067, 16942, 2023, 2095, 4102, 2007, 1002, 1017, 1012, 1018, 4551, 2005, 17765, 1010, 2002, 18422, 2015, 1012, 1996, 2924, 2993, 2987, 1521, 1056, 3338, 2041, 3584, 3616, 2005, 16942, 1012, 2216, 12012, 2421, 2119, 7511, 2404, 1998, 2655, 7047, 1998, 3375, 14336, 3361, 3688, 7007, 2058, 1996, 4675, 1012, 1996, 10067, 16942, 3131, 2950, 2273, 1998, 2308, 2007, 3935, 5445, 1999, 3330, 1998, 3361, 5597, 2013, 8919, 2816, 2107, 2004, 12431, 2430, 2063, 3000, 1998, 12431, 26572, 15007, 3490, 4226, 1012, 15068, 3207, 2050, 1521, 1055, 16290, 2000, 7818, 1996, 5211, 2924, 2097, 2022, 10654, 3367, 15532, 2290, 2011, 1996, 6203, 2705, 1997, 2449, 2009, 2515, 1999, 1996, 1057, 1012, 1055, 1012, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2559, 2000, 9278, 1037, 7388, 10216, 1029, 2215, 2000, 5676, 2115, 2482, 2835, 2003, 5361, 11178, 1029, 2057, 1521, 2310, 5935, 2195, 6179, 10402, 1010, 2490, 2967, 1010, 1998, 11744, 2000, 2393, 2017, 2006, 2115, 2126, 1012, 2123, 1521, 1056, 2156, 2054, 2017, 1521, 2128, 2559, 2005, 1029, 3531, 2292, 2149, 2113, 1010, 1998, 2057, 1521, 1040, 2022, 3407, 2000, 2393, 2017, 2424, 2009, 999, 2474, 3393, 5403, 2223, 11459, 7314, 2024, 2800, 2000, 2393, 2007, 9410, 7388, 7959, 17819, 3471, 1998, 5936, 1012, 1006, 6421, 2549, 1007, 29327, 1011, 3938, 17914, 1006, 2334, 1007, 2030, 5385, 1011, 2474, 1011, 3393, 5403, 2604, 7378, 18749, 12516, 22283, 1011, 7388, 7959, 17819, 2415, 1997, 5754, 19679, 1013, 6437, 9923, 1010, 21307, 20464, 2278, 1010, 5003, 1006, 6421, 2549, 1007, 5989, 2629, 1011, 3515, 22022, 1011, 7059, 26766, 2078, 1010, 18667, 2860, 1010, 21307, 20464, 2278, 1006, 6421, 2549, 1007, 6391, 2575, 1011, 4798, 1011, 16266, 10559, 3536, 5172, 1010, 21307, 20464, 2278, 1006, 6421, 2549, 1007, 5585, 2629, 1011, 14993, 2575, 1011, 6864, 10453, 6528, 1010, 29300, 1010, 21307, 20464, 2278, 1006, 6421, 2549, 1007, 6365, 2629, 1011, 4700, 26187, 1011, 6986, 9321, 1010, 29300, 1010, 21307, 20464, 2278, 1006, 22997, 1007, 4261, 2620, 1011, 5511, 21926, 1011, 2358, 1012, 3312, 8673, 2902, 7388, 7959, 17819, 9349, 1006, 6421, 2549, 1007, 6390, 2475, 1011, 29403, 2549, 1011, 2118, 1997, 4174, 2740, 2291, 2155, 7388, 7959, 17819, 2490, 1006, 6421, 2549, 1007, 6146, 2549, 1011, 6282, 26224, 1011, 8129, 12849, 4757, 1010, 5601, 1010, 21307, 20464, 2278, 1006, 6282, 2692, 1007, 22777, 1011, 24441, 2475, 1011, 14986, 16321, 1010, 29300, 1010, 21307, 20464, 2278, 1006, 6282, 2692, 1007, 22777, 1011, 29327, 2620, 1011, 9155, 18629, 22792, 1010, 29300, 1010, 21307, 20464, 2278, 1006, 6421, 2549, 1007, 28161, 1011, 5179, 28311, 7388, 10216, 12635, 2015, 1011, 5754, 19679, 1024, 19960, 2063, 15549, 2361, 1006, 6421, 2549, 1007, 5989, 2487, 1011, 5641, 23352, 1011, 28413, 1024, 2026, 3923, 6927, 3917, 1006, 6421, 2549, 1007, 6365, 2549, 1011, 4029, 22407, 1010, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1011, 10309, 1024, 14986, 16321, 1010, 21307, 20464, 2278, 1006, 6282, 2692, 1007, 22777, 1011, 29327, 2620, 1011, 1061, 4523, 11733, 16778, 1024, 2358, 3312, 8673, 2902, 13882, 1006, 6421, 2549, 1007, 6390, 2475, 1011, 21211, 2509, 7388, 10216, 4341, 1011, 5754, 19679, 1024, 15840, 1005, 1055, 13882, 1006, 6421, 2549, 1007, 5585, 2549, 1011, 5824, 21472, 1011, 10834, 1054, 2149, 1010, 10533, 2346, 1010, 1061, 4523, 11733, 16778, 1006, 6421, 2549, 1007, 4700, 2581, 1011, 5641, 23777, 1011, 7388, 7959, 17819, 2415, 1997, 5754, 19679, 1006, 6421, 2549, 1007, 5989, 2629, 1011, 3515, 22022, 1011, 2358, 3312, 8673, 28413, 13882, 1006, 6421, 2549, 1007, 4413, 2683, 1011, 27407, 6749, 7388, 7959, 17819, 2808, 1998, 11744, 1011, 1996, 2450, 2135, 2396, 1997, 7388, 7959, 17819, 1010, 2474, 3393, 5403, 2223, 1010, 2432, 1010, 5504, 3968, 1012, 7065, 1012, 1011, 7388, 7959, 17819, 1024, 2129, 2000, 7388, 7959, 2098, 2115, 3336, 1010, 14916, 19699, 7974, 1010, 8731, 1004, 2608, 1010, 2432, 1010, 3822, 3968, 1012, 7065, 1012, 1011, 1996, 7388, 7959, 17819, 2338, 1024, 2673, 2017, 2342, 2000, 2113, 2055, 8329, 2115, 2775, 2013, 4182, 2083, 2057, 7088, 3070, 1010, 9246, 1004, 2520, 18493, 1010, 2456, 1011, 1996, 7209, 7388, 7959, 17819, 2338, 1997, 6998, 1010, 10625, 1998, 6770, 2386, 1010, 2456, 1011, 1996, 3336, 2338, 1010, 9246, 1998, 2520, 18493, 1010, 2494, 1010, 7065, 1012, 3968, 1012, 1011, 8329, 2388, 1010, 2551, 2388, 1010, 14554, 29198, 2953, 1010, 2289, 1006, 9686, 2361, 1012, 2005, 2551, 10756, 1007, 1011, 4037, 1024, 3671, 20662, 1024, 20694, 25635, 1011, 2006, 2030, 13475, 1010, 11562, 2182, 1028, 1028, 1011, 4037, 1024, 2149, 2533, 1997, 2740, 1004, 2529, 2326, 1010, 7388, 7959, 17819, 4790, 1010, 2592, 1998, 4219, 1010, 11562, 2182, 1028, 1028, 3647, 3211, 5104, 6056, 1010, 16450, 20911, 2100, 1006, 6421, 2549, 1007, 6079, 2629, 1011, 15017, 2692, 1057, 1012, 1055, 1012, 2231, 8285, 3808, 2980, 4179, 1006, 5385, 1007, 4413, 2549, 1011, 6109, 2683, 2509, 2835, 5403, 3600, 1012, 8917, 4037, 1998, 2592, 4953, 2482, 4272, 1024, 7479, 1012, 2835, 5403, 3600, 1012, 8917, 21899, 3028, 3008, 1997, 3674, 2015, 2591, 1998, 2490, 2177, 2005, 5987, 4630, 1998, 2783, 3008, 1997, 8178, 1010, 6420, 3215, 1010, 1998, 2062, 1012, 2372, 3745, 2592, 1010, 3325, 1010, 11532, 1010, 1998, 8562, 4310, 2000, 3911, 2007, 3674, 2015, 1012, 13162, 2591, 1998, 2490, 3450, 1010, 2164, 2155, 2824, 1010, 12170, 11639, 8787, 5929, 1998, 9121, 3863, 1010, 7492, 1010, 6687, 1005, 1055, 2305, 2041, 1010, 1998, 1037, 2372, 1011, 2069, 20643, 2177, 1012, 3296, 2349, 2015, 1002, 2484, 1006, 2950, 7058, 17178, 1007, 1012, 1996, 2984, 1043, 1012, 8040, 28600, 2319, 28616, 21539, 1998, 20662, 3279, 2490, 2177, 2256, 7058, 2490, 2177, 4240, 6062, 1010, 3895, 1010, 9064, 1010, 1998, 2814, 1010, 1998, 2003, 19601, 2011, 3095, 2372, 2008, 2031, 3167, 1998, 2658, 3325, 2007, 3279, 1012, 2045, 2003, 2053, 2342, 2000, 4236, 1516, 1996, 2177, 6010, 1996, 2117, 9857, 1997, 2296, 3204, 2012, 1996, 18832, 4371, 2155, 2415, 2013, 1021, 1024, 4002, 1011, 1023, 1024, 27995, 1012, 2019, 4866, 3075, 1997, 2808, 1998, 4219, 2003, 2036, 2800, 1012, 2005, 1037, 2862, 1997, 4219, 2005, 3008, 1998, 2729, 5856, 14028, 1010, 11562, 9940, 4219, 1028, 1028, 1044, 1012, 1057, 1012, 1043, 1012, 1055, 1012, 2177, 1006, 2393, 1010, 4824, 1010, 9940, 2490, 1007, 1037, 2490, 2177, 2005, 3008, 13417, 2151, 2828, 1997, 2566, 3981, 9080, 1013, 16231, 27815, 3279, 1012, 2057, 3113, 2006, 1996, 2353, 9432, 1997, 2169, 3204, 2013, 1021, 2361, 1011, 1023, 2361, 2012, 21899, 3028, 1011, 20837, 2902, 1999, 1996, 1044, 1012, 1057, 1012, 1043, 1012, 1055, 1012, 2282, 1012, 2177, 2003, 19601, 2011, 1037, 6821, 4738, 1999, 1996, 19387, 2015, 1006, 10663, 2083, 6631, 1007, 2291, 1012, 2005, 2062, 2592, 1010, 3967, 2016, 3089, 1037, 1012, 15639, 29300, 18667, 2078, 2012, 24568, 1011, 6109, 2581, 1011, 4466, 22610, 2030, 10373, 10373, 1030, 2742, 1012, 4012, 2695, 19362, 11667, 6245, 2490, 2177, 1997, 1996, 3618, 5754, 19679, 2181, 1037, 2490, 2177, 19601, 2011, 2274, 7314, 2040, 2147, 2007, 6875, 1998, 28586, 2308, 1012, 2256, 3260, 2003, 2000, 2490, 2308, 1999, 2037, 7233, 2013, 2695, 19362, 11667, 6245, 1012, 6010, 1996, 2034, 1998, 2353, 28401, 1997, 1996, 3204, 2013, 2184, 1024, 2382, 1037, 1012, 1049, 1012, 2000, 11501, 2182, 2012, 1996, 18832, 4371, 2155, 2415, 5754, 19679, 1012, 2308, 13417, 6245, 2030, 10089, 8030, 2076, 10032, 2030, 2695, 19362, 11667, 2024, 4778, 2000, 5463, 1012, 6818, 2024, 6160, 2000, 3288, 2037, 3336, 1010, 4256, 1010, 2155, 2266, 1010, 2030, 2767, 2000, 1996, 3116, 1012, 3531, 12667, 2615, 2361, 2011, 4214, 4601, 2620, 1011, 25143, 2509, 1998, 2975, 1037, 4471, 1012, 1037, 6904, 6895, 27606, 4263, 2097, 2709, 2115, 2655, 1012, 5754, 19679, 2079, 7068, 2015, 1010, 11775, 5754, 19679, 2079, 7068, 2015, 2490, 2308, 1998, 2037, 2945, 1999, 1037, 2512, 9103, 2094, 21693, 21050, 2126, 2004, 2027, 2191, 2037, 4990, 2046, 6687, 9021, 1012, 2057, 3073, 8295, 1010, 3716, 3085, 1010, 1998, 4738, 2490, 2076, 10032, 1010, 4450, 1010, 4182, 1998, 2695, 19362, 11667, 1012, 2415, 2005, 1996, 2775, 4783, 22397, 2095, 1996, 2415, 2005, 1996, 2775, 4783, 22397, 2095, 2003, 1037, 2334, 3029, 4346, 24260, 7378, 2731, 2005, 2119, 4182, 1998, 2695, 19362, 11667, 2079, 7068, 2015, 1012, 1996, 2415, 2036, 2038, 1037, 7692, 2862, 1997, 4182, 1998, 2695, 19362, 11667, 2079, 7068, 2015, 1999, 1996, 2181, 1012, 1037, 4037, 2005, 2592, 4953, 4182, 1998, 2695, 19362, 11667, 2079, 7068, 2015, 1012, 2023, 2326, 3503, 4738, 2079, 7068, 2015, 2007, 2659, 1011, 3318, 6875, 2308, 1999, 4643, 4174, 2005, 2053, 7408, 1012, 2005, 2690, 3318, 2945, 1010, 2079, 7068, 2015, 2729, 2085, 4107, 1996, 4182, 2079, 7068, 2326, 7427, 2005, 1037, 7408, 1997, 1002, 8698, 1012, 2000, 4553, 2062, 1010, 2655, 1015, 1011, 6564, 2575, 1011, 6391, 2629, 1011, 2199, 2509, 2030, 6421, 2549, 1011, 29327, 1011, 3770, 19841, 1012, 18832, 4371, 2155, 2415, 1011, 3352, 3428, 1998, 5208, 2465, 1013, 2778, 1006, 6421, 2549, 1007, 5989, 2509, 1011, 7886, 2549, 2358, 1012, 3312, 8673, 2902, 1006, 6421, 2549, 1007, 6390, 2475, 1011, 20263, 2692, 2118, 1997, 4174, 2308, 1005, 1055, 2902, 1006, 6421, 2549, 1007, 6146, 2509, 1011, 5786, 2683, 2629, 9470, 2740, 1006, 5385, 1007, 5594, 2475, 1011, 4891, 2692, 2057, 2024, 1037, 9470, 2740, 8019, 2266, 1010, 2029, 2965, 2017, 2097, 2022, 24964, 14905, 28393, 2094, 2005, 2028, 3653, 19833, 2389, 2465, 3253, 2012, 18832, 4371, 2155, 2415, 1012, 9470, 2740, 2038, 2356, 2008, 2169, 9470, 2740, 2266, 3477, 2005, 2037, 2465, 1999, 2440, 2077, 2027, 2097, 4374, 24964, 14905, 28393, 3672, 1012, 2000, 5676, 5372, 8819, 2005, 9470, 2740, 2372, 1010, 3531, 3582, 2122, 4084, 1024, 1011, 2043, 9361, 2041, 1010, 3531, 3477, 1999, 2440, 1012, 1011, 2044, 2115, 8819, 2003, 3143, 1010, 6140, 1996, 8816, 1024, 24306, 2013, 2115, 4070, 1998, 3288, 2000, 2465, 2061, 2115, 9450, 2064, 3696, 2009, 1012, 1011, 2279, 1010, 3942, 9470, 2740, 4037, 2000, 8816, 1996, 2266, 24964, 14905, 28393, 3672, 2433, 1006, 2188, 3931, 1010, 4248, 6971, 1013, 2266, 3596, 1010, 12040, 1037, 4366, 1010, 2266, 24964, 14905, 28393, 3672, 2433, 1007, 1010, 3143, 1998, 5653, 2247, 2007, 2115, 1048, 11329, 11057, 24306, 2044, 6503, 1997, 2465, 1010, 2005, 2465, 7408, 24964, 14905, 28393, 3672, 1012, 23951, 1011, 5938, 2030, 2966, 10961, 6115, 2005, 2945, 2478, 1037, 23951, 1011, 5938, 2030, 2966, 10961, 4070, 1010, 2017, 2064, 1024, 1011, 3477, 2005, 2115, 2465, 1999, 2440, 1010, 2059, 6140, 1996, 8816, 1024, 24306, 2011, 22042, 2006, 1996, 1999, 6767, 6610, 2193, 2006, 2115, 2026, 4070, 4023, 3898, 1998, 2031, 2115, 9450, 3696, 2012, 1996, 7091, 1997, 2115, 2465, 2000, 12040, 2005, 24964, 14905, 28393, 3672, 2000, 2115, 12379, 5938, 4070, 8911, 1012, 6854, 1010, 2057, 3685, 2832, 2115, 23951, 5938, 4003, 2083, 2256, 4037, 1012, 1996, 4182, 5002, 3270, 3726, 2017, 2445, 4182, 1999, 1996, 2197, 2093, 2086, 1029, 2065, 2061, 1010, 2202, 1996, 4182, 5002, 1998, 3073, 12247, 2006, 2115, 3460, 1010, 3054, 19993, 1010, 4182, 2415, 1010, 2030, 2902, 1012, 1996, 6056, 2005, 9229, 23676, 2578, 1006, 25022, 5244, 1007, 2038, 2764, 2023, 7325, 12247, 4037, 2073, 2308, 3073, 2592, 2055, 1996, 23676, 2729, 2027, 2363, 1012, 2137, 2267, 1997, 6821, 1011, 3054, 23744, 2592, 1998, 4219, 2005, 3054, 23744, 1010, 22344, 3054, 23744, 1010, 3054, 19993, 2854, 2493, 1998, 3054, 19993, 2854, 10390, 1012, 2592, 2006, 10126, 2740, 1010, 11922, 2005, 3336, 1998, 4219, 1012, 3566, 2015, 1011, 2000, 1011, 2022, 3931, 3397, 1996, 3745, 2007, 2308, 2186, 2013, 1996, 3485, 1997, 3054, 19993, 2854, 1004, 2308, 1005, 1055, 2740, 1998, 3397, 2307, 10032, 6040, 1012, 1996, 6056, 2005, 9229, 23676, 2578, 1006, 25022, 5244, 1007, 25022, 5244, 2003, 1037, 6056, 1997, 3633, 1998, 4411, 2007, 5142, 2005, 1996, 2729, 1998, 2092, 1011, 2108, 1997, 10756, 1010, 10834, 1010, 1998, 2945, 1012, 2256, 3260, 2003, 2000, 5326, 1037, 25860, 2944, 1997, 23676, 2729, 2008, 2097, 5335, 4182, 13105, 1998, 12381, 5547, 5366, 1012, 6581, 2609, 2005, 2592, 2006, 3350, 1011, 2241, 2729, 1010, 4606, 4219, 4953, 7388, 7959, 17819, 1010, 10831, 1997, 26708, 2319, 6959, 1998, 3471, 1997, 14203, 15946, 2015, 1012, 1996, 22329, 5792, 1996, 10539, 3120, 1997, 3350, 1011, 2241, 6078, 1999, 2740, 2729, 1012, 2019, 2248, 2025, 1011, 2005, 1011, 5618, 3029, 1010, 4346, 2039, 1011, 2000, 1011, 3058, 2592, 2055, 1996, 3896, 1997, 2740, 2729, 1012, 4553, 2062, 2027, 3965, 1996, 22329, 7809, 1997, 11778, 4391, 1010, 2112, 1997, 1996, 22329, 3075, 1010, 1996, 15764, 7692, 2005, 3350, 1011, 2241, 2740, 2729, 1012, 18832, 4371, 2248, 2003, 1037, 14495, 3029, 3005, 3260, 2003, 2000, 5326, 1010, 2490, 1998, 4047, 3671, 4182, 2083, 2495, 1998, 12288, 1012, 2023, 4037, 2003, 1037, 6919, 7692, 2005, 2119, 5987, 4630, 2945, 1998, 2005, 8390, 1012, 2233, 1997, 27211, 2015, 1037, 14495, 3029, 2005, 10032, 1998, 3336, 2740, 2008, 3640, 2592, 2006, 10723, 4182, 18419, 1010, 21371, 4182, 1998, 10527, 13356, 1012, 6581, 7692, 2005, 2296, 2785, 1997, 10032, 5142, 1998, 3653, 19833, 2389, 5604, 1012, 2550, 2011, 1999, 24793, 4182, 1004, 28586, 6876, 1999, 5386, 2007, 18832, 4371, 2248, 1012, 2023, 4037, 7545, 1996, 2416, 18832, 4371, 7965, 4182, 6078, 2000, 2166, 1998, 2038, 1037, 5257, 1997, 2489, 6876, 1010, 6140, 4475, 1998, 6179, 6971, 2005, 2488, 4182, 1012, 1996, 2120, 2308, 1005, 1055, 2740, 2592, 2415, 1024, 2308, 4095, 15879 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 13376, 2012, 3891, 6001, 2058, 1996, 2287, 1997, 4293, 2024, 3053, 2093, 2335, 2004, 3497, 2000, 3280, 1999, 1037, 2188, 2543, 2004, 1996, 2236, 2270, 1010, 1998, 6001, 5594, 1998, 2058, 2024, 2093, 1011, 1998, 1011, 1037, 1011, 2431, 2335, 2004, 3497, 1012, 2216, 2024, 2070, 1997, 1996, 3145, 9556, 1999, 1037, 2047, 1050, 22540, 2050, 3189, 1010, 1523, 6459, 1997, 2188, 2543, 5694, 1000, 1006, 11135, 1010, 23475, 2243, 2497, 1007, 1012, 1996, 3189, 17427, 2951, 2006, 2188, 2543, 5694, 1999, 1996, 2142, 2163, 2013, 2494, 1011, 2289, 1010, 1998, 20798, 7060, 2011, 2287, 1010, 3348, 1010, 2679, 1010, 1998, 2555, 1010, 2247, 2007, 2877, 2543, 5320, 1998, 3891, 5876, 1012, 1996, 3189, 4858, 2008, 2013, 3150, 2000, 2289, 1010, 1996, 3745, 1997, 2188, 2543, 6677, 14729, 2005, 2011, 6001, 2287, 3515, 1998, 2058, 3445, 2013, 2539, 3867, 2000, 2756, 3867, 1997, 1996, 2561, 1012, 2096, 6001, 2058, 1996, 2287, 1997, 3515, 2031, 5281, 2019, 3452, 9885, 1997, 2324, 3867, 1999, 2188, 2543, 6441, 2144, 3150, 1010, 2216, 6441, 2031, 3445, 2410, 3867, 2005, 2008, 2177, 2144, 2526, 1012, 2216, 12878, 1010, 4117, 2007, 1037, 3652, 4770, 1997, 2111, 3515, 1998, 2058, 1010, 2191, 2009, 2130, 2062, 2590, 2000, 3362, 3080, 6001, 2007, 3808, 7696, 1010, 2758, 10666, 11721, 22911, 5369, 1010, 3026, 2565, 3208, 2005, 2152, 1011, 3891, 15641, 3454, 1999, 1050, 22540, 2050, 1521, 1055, 2270, 2495, 2407, 1012, 1523, 3080, 6001, 2089, 2031, 2062, 7669, 13002, 1037, 2543, 1010, 1524, 2016, 2758, 1012, 1523, 2070, 2089, 2025, 2031, 11706, 5610, 29034, 1999, 2037, 5014, 1010, 1998, 2089, 2031, 7669, 4994, 29034, 1012, 2027, 2024, 2625, 3497, 2000, 2031, 4342, 2543, 1011, 3647, 15592, 2043, 2027, 3473, 2039, 1998, 2089, 2025, 2022, 2004, 5204, 1997, 2047, 3808, 2974, 1012, 1524, 2592, 2006, 2543, 9740, 2005, 15995, 2003, 2800, 3784, 2083, 10397, 2043, 30108, 1010, 2019, 1050, 22540, 2050, 2543, 1998, 2991, 9740, 2565, 2284, 2012, 7479, 1012, 1050, 22540, 2050, 1012, 8917, 1013, 10397, 2860, 10222, 1012, 2308, 2058, 1996, 2287, 1997, 3515, 2031, 1996, 3284, 3891, 1997, 10611, 4544, 1999, 2188, 3252, 8769, 1012, 2348, 2273, 4293, 1998, 2058, 2024, 1037, 2152, 1011, 3891, 2177, 2005, 10611, 6441, 1010, 2027, 2031, 1037, 6022, 2896, 3891, 1997, 5996, 1999, 1037, 2188, 3252, 2543, 4102, 2000, 2308, 1997, 1996, 2168, 2287, 1012, 1996, 3189, 4858, 2008, 2004, 1996, 2287, 1997, 5694, 7457, 1010, 3558, 13597, 2024, 6563, 2172, 2062, 4703, 2084, 2060, 5876, 2008, 9002, 2000, 4544, 1012, 2060, 3145, 9556, 1997, 1996, 3189, 2421, 1024, 1037, 2047, 1050, 22540, 2050, 2565, 8509, 1037, 2529, 2227, 2006, 1996, 2543, 11867, 6657, 19099, 2099, 3947, 1012, 4606, 1010, 4884, 14409, 2013, 1996, 2392, 3210, 1997, 1996, 11867, 6657, 19099, 2099, 2954, 1012, 2011, 5965, 4241, 25301, 1010, 3781, 1012, 15837, 21766, 12079, 6732, 1997, 2841, 2004, 1037, 6402, 12084, 1010, 2025, 1037, 6402, 6778, 1012, 21766, 12079, 2001, 1020, 2086, 2214, 2043, 2016, 4265, 2353, 1011, 3014, 7641, 2006, 5594, 3867, 1997, 2014, 2303, 2044, 1037, 2980, 1011, 2300, 1011, 3684, 2121, 7738, 3303, 1037, 2543, 1999, 2014, 2155, 1521, 1055, 2093, 1011, 5010, 2188, 1012, 2016, 9601, 9800, 12058, 5134, 2011, 1996, 2051, 2016, 2001, 2324, 1010, 1998, 2038, 13521, 2006, 2014, 2227, 1010, 2608, 1010, 15190, 1010, 3456, 1010, 1998, 2067, 2008, 3710, 2004, 14764, 2015, 1997, 2014, 23304, 1012, 1523, 1045, 5136, 2870, 5341, 2000, 2022, 4142, 1010, 1524, 2016, 2758, 1012, 1523, 2543, 11867, 6657, 19099, 2869, 2071, 2031, 8729, 1037, 2843, 1997, 4053, 2000, 2026, 2188, 1998, 2870, 1012, 1524, 21766, 12079, 1010, 5401, 1010, 2038, 5287, 7271, 2006, 2188, 11867, 6657, 19099, 2869, 1010, 1998, 2003, 2478, 2014, 2466, 2004, 1037, 16771, 2005, 2689, 1012, 1523, 2065, 2111, 2071, 2069, 2156, 2028, 2711, 2040, 2038, 1037, 5729, 6402, 4544, 1998, 5382, 2054, 2009, 2515, 2000, 2068, 1517, 2008, 3084, 1037, 2502, 4489, 1010, 1524, 2016, 2758, 1012, 3441, 2066, 21766, 12079, 1521, 1055, 2097, 2433, 1996, 4563, 1997, 5344, 1997, 2543, 1010, 1037, 2047, 1050, 22540, 2050, 2565, 2881, 2004, 1037, 13711, 2000, 1996, 3029, 1521, 1055, 2783, 2543, 11867, 6657, 19099, 2099, 6349, 1012, 1996, 3049, 2036, 3488, 2000, 8526, 2372, 1997, 1996, 2543, 2326, 2000, 2393, 2068, 2468, 2062, 3161, 20401, 2005, 2188, 11867, 6657, 19099, 2869, 1999, 2037, 4279, 1012, 1996, 2565, 2097, 2022, 6787, 2011, 1037, 1002, 6356, 2575, 1010, 2199, 3946, 2013, 1996, 2976, 5057, 2968, 4034, 1521, 1055, 1006, 10768, 2863, 1007, 2543, 9740, 1998, 3808, 3946, 2565, 1012, 1996, 3946, 2400, 2001, 2623, 1999, 2258, 1012, 10768, 2863, 2036, 3018, 1996, 2188, 2543, 11867, 6657, 19099, 2099, 6056, 1010, 2019, 1050, 22540, 2050, 4256, 1010, 2007, 1037, 3946, 1997, 1002, 5818, 2620, 1010, 2199, 1012, 2543, 2136, 3915, 2363, 1002, 5786, 2575, 1010, 2199, 1010, 1998, 2691, 5755, 1010, 1037, 6056, 6485, 2011, 1996, 2120, 2543, 11867, 6657, 19099, 2099, 2523, 2008, 2950, 13010, 5360, 2011, 2543, 1010, 2363, 1002, 19015, 1010, 2199, 2000, 6204, 2714, 15641, 4073, 2000, 5326, 2188, 11867, 6657, 19099, 2869, 1012, 5344, 1997, 2543, 2097, 5587, 1037, 2529, 5783, 2000, 1050, 22540, 2050, 1521, 1055, 2543, 11867, 6657, 19099, 2099, 6349, 1006, 1042, 5332, 1007, 1010, 2429, 2000, 13895, 5529, 2072, 1010, 1050, 22540, 2050, 1521, 1055, 3580, 2343, 1997, 4806, 1998, 1996, 3049, 1521, 1055, 2599, 3967, 1012, 1523, 2004, 1037, 2554, 1010, 2057, 1521, 2310, 2468, 7199, 4012, 24759, 10732, 3372, 2055, 2543, 2138, 2057, 2024, 5399, 5694, 1997, 3112, 1010, 1524, 2758, 5529, 2072, 1012, 1523, 2057, 1521, 2310, 2464, 1037, 6689, 1999, 2188, 8769, 1998, 2188, 2543, 6677, 1999, 1996, 2197, 2093, 5109, 1012, 2021, 1996, 4507, 2003, 2008, 2188, 8769, 2024, 14886, 2043, 2027, 2079, 5258, 1010, 1998, 2027, 4254, 2613, 2111, 1012, 2057, 2215, 2000, 2224, 2037, 3441, 2000, 10825, 3071, 2008, 2188, 8769, 3961, 1037, 2613, 5081, 1012, 1524, 5529, 2072, 2758, 2008, 1996, 5344, 1997, 2543, 6349, 2097, 4256, 2007, 1996, 4174, 1011, 2241, 6708, 2554, 2005, 6402, 8643, 2000, 6709, 6402, 8643, 2040, 2064, 3745, 2037, 3441, 1012, 2016, 3488, 2000, 3677, 1037, 2731, 3116, 2101, 2023, 2095, 2005, 2270, 3808, 19156, 1010, 2543, 4584, 1010, 1998, 2311, 4584, 1012, 1996, 1042, 5332, 2001, 3390, 2197, 2095, 2000, 5326, 3642, 9886, 2015, 1998, 2334, 16692, 2015, 9034, 11867, 6657, 19099, 2869, 1999, 2028, 1011, 1998, 2048, 1011, 2155, 5014, 1012, 1996, 3049, 1521, 1055, 2047, 3784, 6994, 23615, 1517, 2164, 2755, 8697, 1010, 6876, 3794, 2543, 5694, 1010, 1998, 2591, 2865, 6177, 1517, 2097, 2191, 2049, 2834, 2023, 2991, 2006, 1996, 1042, 5332, 4037, 1010, 7479, 1012, 8769, 18098, 19839, 3917, 5498, 10711, 6024, 1012, 8917, 1012, 1999, 3141, 2739, 1010, 1996, 2110, 1011, 2011, 1011, 2110, 2645, 2090, 5647, 11867, 6657, 19099, 2099, 13010, 1998, 7892, 4247, 1012, 2006, 2337, 2484, 1010, 1996, 2148, 3792, 2311, 3642, 2473, 5444, 1010, 2011, 1037, 2416, 1011, 2000, 1011, 2093, 7785, 1010, 2000, 11092, 1996, 2248, 5647, 3642, 29656, 1006, 20868, 2278, 1007, 1010, 2029, 5942, 1996, 8272, 1997, 11867, 6657, 19099, 2869, 1999, 2035, 2047, 5014, 4621, 2254, 1015, 1010, 2249, 1012, 1037, 6056, 11539, 1997, 2543, 2326, 4584, 1010, 11867, 6657, 19099, 2099, 8924, 1010, 16728, 1010, 2640, 8390, 1010, 2188, 8569, 23891, 2869, 1010, 5427, 6074, 1010, 1998, 2231, 4584, 6153, 1996, 3247, 1012, 1037, 3021, 3107, 1999, 1996, 2110, 4001, 7860, 1996, 9886, 1010, 2174, 1010, 1998, 2052, 23469, 17370, 2013, 9034, 2543, 11867, 6657, 19099, 2869, 1999, 2028, 1011, 1998, 2048, 1011, 2155, 5014, 1012, 1996, 5468, 2038, 2333, 2041, 1997, 1996, 2837, 2754, 2007, 1523, 11119, 12832, 1010, 1524, 2429, 2000, 3814, 20965, 13094, 10441, 1010, 3164, 3208, 1997, 1050, 22540, 2050, 1521, 1055, 2543, 9740, 2492, 2436, 1012, 1999, 3552, 1010, 1037, 3648, 6380, 1996, 3552, 16472, 2523, 1521, 1055, 5227, 2005, 1037, 8824, 22928, 1010, 2029, 2052, 2031, 16407, 1996, 2110, 2067, 2000, 2049, 2294, 2311, 9537, 1010, 2029, 2079, 2025, 9146, 5647, 11867, 6657, 19099, 2869, 1012, 2197, 2095, 1010, 1996, 3552, 2981, 10738, 3319, 3222, 2787, 2000, 11092, 1996, 20868, 2278, 1010, 9034, 1996, 8272, 1997, 11867, 6657, 19099, 2869, 1999, 2237, 15666, 4621, 2254, 1015, 2023, 2095, 1010, 1998, 1999, 2047, 2028, 1011, 1998, 2048, 1011, 2155, 5014, 1999, 2249, 1012, 14223, 2345, 5813, 1997, 1996, 2553, 1010, 1996, 20868, 2278, 5918, 3961, 1999, 3466, 1012, 2045, 1521, 1055, 2036, 1037, 3021, 14223, 1999, 2837, 2008, 25822, 2543, 11867, 6657, 19099, 2099, 5918, 2005, 5014, 2025, 4198, 2000, 1037, 10539, 4546, 2300, 4425, 2030, 2284, 2306, 2274, 2661, 1997, 1037, 2543, 2276, 1012, 6974, 1010, 1037, 2047, 3933, 3319, 3222, 1010, 2719, 2004, 2112, 1997, 2019, 3237, 2344, 2011, 3099, 3782, 13144, 1010, 2038, 6749, 1996, 2110, 2175, 2830, 2007, 2019, 13266, 20868, 2278, 9034, 2188, 11867, 6657, 19099, 2869, 1012, 1523, 2008, 3237, 2344, 2758, 2008, 2045, 2323, 2022, 2053, 3627, 2218, 2039, 2008, 2003, 2114, 6926, 3808, 1010, 1524, 20965, 13094, 10441, 2758, 1012, 1523, 2008, 1521, 1055, 2339, 1996, 2543, 2326, 1998, 1996, 2047, 3933, 11867, 6657, 19099, 2099, 6056, 2024, 3038, 2008, 11867, 6657, 19099, 2869, 2024, 1037, 2166, 3808, 3277, 1998, 5807, 1521, 1056, 2022, 2218, 2039, 1012, 1524, 1999, 2047, 7035, 1010, 1996, 2110, 1521, 1055, 3642, 3319, 2604, 5444, 2000, 11092, 1996, 2268, 20868, 2278, 2007, 2019, 4621, 3058, 1997, 2258, 1015, 1010, 2262, 1012, 2174, 1010, 1037, 3021, 3107, 2023, 2095, 18548, 1996, 3058, 2000, 2286, 1012, 1523, 2057, 1521, 2128, 1999, 1037, 3663, 2008, 1521, 1055, 2025, 9223, 1010, 1524, 2758, 5639, 6766, 1010, 1050, 22540, 2050, 1521, 1055, 3580, 2343, 1997, 2492, 3136, 1010, 1997, 1996, 11867, 6657, 19099, 2099, 9590, 2183, 2006, 2105, 1996, 2406, 1012, 1523, 2009, 1521, 1055, 2019, 4297, 28578, 21050, 2832, 2057, 1521, 2128, 2183, 2083, 1012, 4102, 2000, 2073, 2057, 2020, 2048, 2086, 3283, 1517, 2073, 2057, 2018, 10124, 2110, 2504, 4023, 2006, 1996, 3277, 1517, 1996, 5981, 2003, 2085, 10066, 1012, 1524, 4106, 1009, 2470, 16796, 1997, 1996, 3119, 1037, 19236, 1997, 1996, 2268, 1057, 1012, 1055, 1012, 2543, 20027, 10611, 3012, 2817, 1999, 2268, 1010, 6445, 21767, 1999, 1996, 2142, 2163, 2020, 26292, 5229, 2096, 2006, 4611, 1010, 1037, 4629, 4530, 2013, 1996, 8746, 6677, 1999, 2263, 1012, 2023, 2003, 2092, 2917, 1996, 2779, 1997, 7886, 6677, 2566, 2095, 2058, 1996, 3025, 5476, 1010, 1998, 1996, 7290, 3296, 2561, 2144, 2857, 1012, 2216, 2024, 2070, 1997, 1996, 3145, 9556, 1999, 1996, 2268, 1057, 1012, 1055, 1012, 2543, 20027, 10611, 3012, 2817, 1010, 8786, 2011, 11620, 1042, 1012, 6904, 10536, 1010, 2703, 1054, 1012, 3393, 28522, 12273, 1010, 1998, 3312, 1048, 1012, 9587, 6856, 1997, 1050, 22540, 2050, 1521, 1055, 2543, 4106, 1998, 2470, 2407, 1012, 1996, 3143, 3189, 2006, 1996, 2268, 20871, 2097, 2022, 3591, 2012, 1996, 1050, 22540, 2050, 3034, 1998, 16258, 1999, 5869, 7136, 1999, 2238, 1010, 1998, 2097, 3711, 1999, 1996, 2251, 1013, 2257, 1050, 22540, 2050, 3485, 1012, 2060, 8824, 9556, 2421, 1024, 1996, 2440, 3189, 2097, 2421, 1037, 2184, 1011, 2095, 2298, 2012, 2543, 20027, 6677, 2096, 4082, 2503, 2012, 3252, 8769, 1012, 1517, 11620, 6904, 10536, 7359, 1010, 5374, 1010, 1998, 8452, 11092, 2350, 1050, 22540, 2050, 9537, 7359, 2038, 2587, 2322, 2060, 2163, 1999, 16151, 1050, 22540, 2050, 1015, 1010, 2543, 3642, 1010, 2029, 2582, 28805, 2015, 3901, 2013, 2543, 1011, 3141, 6441, 1012, 7375, 1999, 1996, 2632, 11631, 2050, 2110, 2165, 3466, 1999, 2254, 1012, 7359, 1521, 1055, 2110, 2543, 2473, 1517, 11539, 1997, 2543, 9058, 2013, 1996, 16598, 1010, 7359, 2221, 1010, 10556, 6692, 2072, 1010, 1998, 28566, 2543, 7640, 1517, 4844, 1996, 9886, 1998, 13538, 4600, 2006, 1050, 22540, 2050, 1521, 1055, 5375, 2076, 6295, 2006, 3642, 7375, 1012, 1996, 2473, 1521, 1055, 2543, 9740, 2837, 1010, 2029, 2950, 2372, 1997, 1996, 7640, 1521, 2543, 9740, 4879, 2015, 1010, 2985, 2847, 15252, 1996, 3642, 1998, 12515, 16051, 2241, 2006, 7285, 3691, 2004, 2092, 2004, 2110, 1998, 2221, 18574, 1012, 1523, 1996, 2490, 2008, 1050, 22540, 2050, 3024, 2005, 2023, 9886, 3947, 2003, 15741, 1010, 1524, 2758, 2708, 26772, 28557, 20411, 2015, 1010, 2110, 2543, 2473, 8911, 1998, 16598, 2543, 2533, 4123, 2708, 1012, 1523, 2009, 3039, 2256, 3095, 2000, 10152, 2006, 1996, 4087, 8910, 1998, 16051, 1010, 2096, 1996, 1050, 22540, 2050, 3095, 2165, 2729, 1997, 3595, 10980, 2140, 5704, 1012, 1996, 2765, 2001, 1996, 2190, 2543, 3642, 2005, 1996, 2110, 1012, 1524, 1050, 22540, 2050, 1521, 1055, 4087, 8519, 2097, 3749 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6429, 2035, 2105, 10760, 4313, 12183, 3431, 3679, 2021, 2057, 2018, 2300, 10199, 2239, 1998, 2300, 16748, 4757, 16521, 1010, 15960, 25043, 1010, 1037, 2307, 8808, 5127, 1998, 14580, 6090, 2532, 26046, 2696, 1012, 2326, 2001, 2036, 6581, 1012, 1996, 2069, 2518, 2008, 2347, 1005, 1056, 3819, 2001, 1996, 14380, 9648, 15477, 18901, 1011, 2009, 2001, 1037, 2978, 2006, 1996, 4086, 2217, 1012, 1019, 1013, 2459, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 8545, 2253, 2005, 7987, 4609, 2818, 2006, 2388, 1005, 25430, 2063, 2253, 2005, 7987, 4609, 2818, 2006, 2388, 1005, 1055, 2154, 1012, 2057, 2018, 2019, 6581, 7954, 1010, 2366, 2155, 2806, 1012, 1996, 2326, 2001, 5379, 1998, 2012, 6528, 6024, 1012, 2057, 2097, 5121, 2709, 1010, 2043, 2445, 1996, 4495, 1012, 1019, 1013, 2260, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 10760, 22468, 2001, 5151, 2072, 2245, 2673, 2001, 18783, 1012, 3904, 1997, 2149, 8725, 2005, 1996, 8808, 4989, 1998, 2057, 2035, 2293, 2536, 8808, 2015, 1012, 1996, 8241, 9471, 2026, 3221, 1997, 12327, 1010, 1045, 2356, 2032, 2055, 2009, 1998, 2009, 2234, 2076, 1996, 2690, 1997, 2026, 4372, 13334, 1012, 1045, 2245, 2008, 2001, 5976, 1010, 2021, 2049, 2035, 2204, 1012, 1045, 2872, 2019, 2344, 2000, 1011, 2175, 2005, 2026, 3129, 1998, 2043, 2002, 2441, 2009, 2002, 2134, 1005, 1056, 2031, 2048, 1997, 1996, 5352, 1010, 1045, 3305, 2025, 2383, 1996, 18064, 1006, 2009, 2001, 3256, 6949, 1007, 2021, 2002, 2134, 1005, 1056, 2031, 1996, 21713, 11877, 24665, 20363, 2593, 1025, 2174, 1010, 2057, 2020, 2145, 5338, 1996, 2440, 3976, 1997, 1996, 7954, 1012, 1045, 2097, 5121, 2709, 2021, 2087, 3497, 2006, 1037, 2367, 2154, 1998, 2025, 2388, 1005, 1055, 2154, 1012, 1019, 1013, 2260, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 25933, 2094, 21929, 4596, 17603, 4017, 2833, 1010, 1998, 2428, 4569, 2275, 2039, 1012, 2428, 5632, 1996, 4834, 1997, 1996, 7954, 1010, 1998, 2028, 1997, 1996, 2190, 12984, 12278, 1045, 2031, 2412, 2018, 1012, 1019, 1013, 2340, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 9247, 27113, 2271, 1998, 3492, 15184, 9247, 27113, 2271, 1998, 3492, 15184, 2126, 2000, 2203, 1037, 2154, 1997, 4511, 18767, 1012, 3811, 16755, 1012, 1019, 1013, 2340, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 25933, 3376, 2154, 1999, 1996, 3028, 14876, 7716, 2001, 2200, 2204, 1998, 1996, 8974, 1998, 4511, 2862, 2001, 6429, 1012, 2256, 8241, 2001, 5186, 2204, 1012, 1996, 2795, 2279, 2000, 2149, 2018, 1037, 2454, 3980, 1998, 2002, 2001, 2583, 2000, 3437, 2296, 2518, 2027, 2071, 2272, 2039, 2007, 1012, 2200, 8052, 999, 3071, 2323, 5587, 2009, 2000, 2045, 2862, 1997, 2442, 2079, 1005, 1055, 1999, 18996, 2050, 3028, 1012, 1019, 1013, 2184, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 8029, 5542, 1998, 1045, 2020, 2428, 8029, 5542, 1998, 1045, 2020, 2428, 7568, 2000, 4521, 2012, 4748, 21929, 2076, 2256, 3942, 1999, 18996, 2050, 1012, 2057, 3866, 2256, 16521, 2607, 2029, 5031, 1997, 12098, 15916, 7068, 1010, 3585, 10506, 3215, 1010, 17852, 26029, 2290, 10958, 10521, 15689, 1010, 4013, 11020, 17922, 9284, 1010, 9724, 2015, 1998, 2122, 6919, 2135, 26855, 2075, 21271, 2100, 13675, 5833, 5644, 1012, 2256, 2364, 2001, 1996, 12559, 2029, 2001, 2204, 2021, 3621, 15640, 1012, 1996, 12559, 2001, 12984, 6669, 2021, 2045, 2001, 1037, 2843, 1997, 6638, 1998, 24665, 24242, 1012, 2057, 2794, 1996, 27024, 26852, 10710, 24857, 2029, 2001, 2256, 5440, 9841, 1997, 1996, 3944, 1012, 18064, 2001, 7929, 2138, 2119, 1997, 2149, 2179, 1996, 13724, 1011, 2625, 7967, 9850, 1037, 2978, 2205, 4086, 2005, 2256, 16663, 1012, 3452, 2009, 2001, 1037, 11519, 7954, 1012, 1996, 2572, 15599, 3401, 1997, 1996, 4825, 2001, 6581, 1998, 8403, 1012, 1045, 2052, 2293, 2000, 2175, 2067, 1998, 3046, 1037, 2367, 12183, 1012, 1019, 1013, 2184, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 16211, 18447, 2021, 9874, 2100, 1010, 4569, 1010, 2307, 16211, 18447, 2021, 9874, 2100, 1010, 4569, 1010, 2307, 2833, 1010, 6581, 2326, 1012, 1019, 1013, 1019, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 12681, 2102, 7987, 4609, 2818, 2412, 9247, 18743, 3993, 2422, 16521, 2607, 12739, 17950, 2007, 1996, 3565, 26255, 2771, 15530, 3022, 2000, 6592, 1037, 2422, 1010, 2021, 17087, 13258, 2001, 3805, 1012, 2059, 2234, 1996, 4474, 1011, 2054, 2028, 2453, 2031, 3373, 2052, 2022, 1037, 1000, 9442, 1000, 2544, 1997, 11611, 1004, 13501, 6763, 1999, 4748, 21929, 1005, 1055, 21863, 6763, 1998, 15960, 7579, 2357, 2041, 2000, 2022, 1037, 19395, 13423, 7738, 1997, 2540, 2100, 13258, 2008, 2001, 2069, 7328, 2098, 2011, 1996, 1000, 4519, 3122, 1000, 28470, 1006, 1017, 1010, 1019, 1000, 28470, 2007, 11611, 1999, 2068, 9370, 2007, 26191, 1004, 1000, 4840, 1000, 25628, 21443, 12136, 1011, 7910, 1010, 4067, 2017, 1010, 4067, 2017, 24728, 2854, 2172, 1007, 1012, 2023, 2001, 9370, 2125, 2011, 2037, 2544, 1997, 1037, 1000, 5519, 11602, 1000, 1006, 10346, 2319, 19562, 2004, 2009, 2001, 2170, 1007, 2007, 1037, 20710, 2361, 9766, 9389, 5587, 10497, 2819, 1012, 3696, 2039, 2005, 2037, 12183, 22028, 1004, 2156, 2129, 2037, 4310, 12183, 3431, 2296, 2154, 1012, 3914, 2092, 1999, 5083, 1012, 1019, 1013, 1019, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 17603, 4017, 2305, 2041, 999, 2026, 3129, 1998, 1045, 2985, 1037, 2307, 5353, 1999, 18996, 2050, 2005, 2256, 5798, 2015, 1012, 4748, 21929, 2001, 2019, 6581, 2173, 2000, 8439, 1012, 1996, 2833, 2001, 2307, 5685, 1996, 2326, 2001, 10392, 1012, 5791, 4276, 1996, 3298, 2013, 2624, 4560, 1012, 1019, 1013, 1018, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 17603, 4017, 4825, 10760, 2833, 2001, 12090, 1010, 1996, 2326, 2001, 17727, 19281, 3468, 1998, 1996, 2572, 11283, 5897, 5151, 1012, 2205, 2919, 2009, 2003, 2035, 1996, 2126, 1999, 18996, 2050, 1012, 1996, 2173, 2003, 1037, 2978, 3976, 2100, 2021, 6135, 4276, 2009, 999, 1019, 1013, 1018, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 5974, 2084, 2074, 13017, 7975, 4215, 21929, 2038, 1010, 3383, 1010, 1996, 2190, 13017, 7975, 5973, 1012, 2005, 1996, 2034, 2051, 1010, 2057, 2020, 2182, 2005, 21475, 2305, 1012, 2009, 2001, 18783, 999, 1045, 2064, 2025, 2360, 2438, 2055, 1996, 2326, 1998, 1996, 2833, 1011, 2673, 2001, 3962, 2006, 999, 1019, 1013, 1016, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 10932, 2140, 2000, 1996, 13017, 7975, 8545, 2020, 5341, 2000, 11586, 2063, 2006, 1037, 6928, 1998, 3328, 2046, 13017, 7975, 2305, 1012, 2009, 2001, 1996, 1018, 2607, 7954, 2007, 4511, 11968, 8613, 1998, 2009, 2001, 18783, 1010, 3811, 16755, 2009, 999, 999, 1018, 1013, 2756, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 16102, 1996, 2200, 3297, 12136, 4328, 13687, 16102, 1996, 2200, 3297, 12136, 4328, 13687, 13017, 7975, 1010, 2184, 2041, 1997, 2184, 2153, 1012, 1018, 1013, 2756, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 8873, 12096, 2051, 2012, 4748, 21929, 1012, 2307, 8873, 12096, 2051, 2012, 4748, 21929, 1012, 2307, 15610, 2018, 2042, 2045, 1037, 2146, 2051, 1998, 2001, 2200, 8114, 1012, 1996, 2189, 2001, 2307, 1012, 4895, 28139, 6528, 20771, 1010, 1998, 2307, 3643, 1012, 1996, 3095, 2001, 3407, 1998, 4569, 1012, 1018, 1013, 2654, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 12681, 2102, 2155, 2806, 4596, 1045, 1005, 2310, 12681, 2102, 2155, 2806, 4596, 1045, 1005, 2310, 2412, 2018, 999, 1996, 2833, 2001, 7078, 6429, 1012, 1018, 1013, 2654, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 25933, 24658, 10593, 1996, 2833, 2001, 2200, 2389, 2705, 10593, 1996, 2833, 2001, 2200, 2204, 1045, 2245, 1996, 4664, 2946, 2001, 2006, 1996, 2235, 2217, 1012, 2009, 2036, 2790, 1037, 2502, 20316, 2004, 2057, 2246, 2012, 2060, 7251, 2105, 2149, 1012, 1045, 2001, 2440, 2044, 2021, 2026, 3129, 2001, 2025, 1012, 1018, 1013, 2423, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 15222, 2015, 4596, 2001, 1037, 4310, 18996, 12462, 25105, 15222, 2015, 4596, 2001, 1037, 4310, 18996, 12462, 25105, 3325, 1012, 2673, 2055, 1996, 3944, 2001, 11813, 1012, 1018, 1013, 2423, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 26445, 2031, 3728, 2468, 1037, 2726, 2072, 2031, 3728, 2468, 1037, 2726, 16155, 5470, 1998, 2001, 7568, 2000, 3046, 4748, 21929, 1012, 2009, 2001, 1037, 4964, 12183, 1998, 2017, 2123, 1005, 1056, 2113, 2054, 2009, 2097, 2022, 2127, 2017, 2265, 2039, 999, 2092, 1010, 2009, 2001, 6429, 1012, 15960, 17137, 2243, 9779, 2015, 1996, 2364, 9841, 1998, 2009, 2001, 2991, 2125, 1996, 5923, 1998, 20289, 5063, 28126, 3993, 1012, 2035, 5352, 2020, 10392, 1012, 1996, 3095, 2020, 2035, 5379, 1998, 2130, 2007, 1996, 2412, 5278, 12183, 1010, 2027, 2047, 2045, 4933, 1012, 2009, 2001, 1037, 2307, 3325, 1012, 1018, 1013, 2570, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 10760, 2518, 2055, 4748, 21929, 21541, 5369, 2518, 2055, 4748, 21929, 2003, 2008, 1996, 12183, 3431, 10126, 1998, 2045, 2003, 2053, 2342, 2000, 2344, 2833, 1010, 2017, 2131, 2054, 2003, 2108, 2366, 1012, 2054, 2003, 2108, 2366, 2003, 4895, 8671, 2666, 3567, 6321, 2204, 999, 3432, 2404, 1010, 4748, 21929, 2003, 1037, 18783, 2833, 6172, 1012, 2057, 2052, 2175, 2067, 1999, 1037, 12251, 1012, 2022, 2200, 7501, 2138, 2027, 2097, 2031, 2000, 4897, 2017, 2041, 2000, 2115, 2482, 9707, 1012, 1018, 1013, 2538, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 16102, 7987, 4609, 2818, 2045, 1998, 2009, 9378, 4215, 7987, 4609, 2818, 2045, 1998, 2009, 2001, 2673, 1045, 5113, 2009, 2052, 2022, 1012, 12090, 2833, 1010, 3722, 18216, 1998, 2074, 2438, 2008, 2057, 2020, 2440, 2021, 2025, 11812, 1012, 1018, 1013, 2538, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 10760, 2833, 8847, 2005, 2993, 1010, 1996, 2833, 8847, 2005, 2993, 1010, 2021, 1996, 2326, 2001, 2070, 1997, 1996, 2190, 2057, 2031, 2412, 2363, 999, 2009, 1005, 1055, 1037, 2442, 3942, 2043, 1999, 1996, 2181, 999, 1018, 1013, 2322, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 17603, 4017, 2092, 1011, 4217, 12183, 1998, 17603, 4017, 2092, 1011, 4217, 12183, 1998, 2057, 2363, 7167, 1997, 2592, 2013, 2256, 5379, 15610, 1012, 1996, 3176, 7954, 5724, 1010, 2029, 2057, 4149, 2061, 2057, 2071, 5510, 2673, 1010, 2134, 1005, 1056, 4025, 2000, 2428, 4906, 2007, 1996, 12183, 1010, 2021, 2001, 12090, 1012, 1996, 8810, 2020, 3819, 1012, 1018, 1013, 2322, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 25933, 2442, 2288, 2080, 7216, 2833, 5724, 10128, 2017, 2064, 2131, 1037, 11079, 1998, 2024, 1999, 1996, 2181, 1010, 2023, 2003, 5791, 4276, 2115, 2051, 1012, 1996, 12183, 3431, 3679, 1012, 1037, 2307, 3601, 2065, 2017, 2175, 2007, 1037, 2177, 2144, 1996, 5431, 8081, 2063, 12183, 2003, 2366, 2039, 2155, 2806, 1012, 3452, 3976, 2000, 3643, 2023, 2003, 2028, 1997, 1996, 2488, 9804, 1999, 1996, 2181, 2005, 3465, 2846, 1006, 1002, 2753, 1011, 1002, 4293, 2566, 2711, 2846, 1007, 1012, 1018, 1013, 2322, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 17603, 4017, 2326, 1998, 11433, 1012, 2307, 2326, 1998, 11433, 1012, 6919, 2005, 3058, 2305, 2549, 1013, 2322, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 14301, 2063, 2009, 999, 4748, 21929, 2001, 2307, 999, 999, 2044, 1037, 2146, 2154, 1997, 18767, 14746, 2009, 2001, 4569, 2000, 2074, 2175, 2000, 1037, 4825, 1998, 2025, 2031, 2000, 5630, 2054, 2000, 4521, 3426, 2009, 1005, 1055, 3653, 3207, 3334, 25089, 1012, 1996, 16324, 1998, 6949, 18064, 2001, 2677, 25813, 999, 999, 3246, 2027, 3710, 2009, 2153, 2061, 2500, 2031, 1996, 4495, 2000, 3046, 2009, 1012, 2052, 5791, 16755, 999, 999, 1018, 1013, 2322, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 16102, 1037, 2307, 2051, 999, 2052, 16755, 16102, 1037, 2307, 2051, 999, 2052, 16755, 2000, 2814, 1998, 2155, 2549, 1013, 2539, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 2572, 14876, 7716, 2001, 18783, 999, 15610, 14876, 7716, 2001, 18783, 999, 15610, 2001, 2200, 2012, 6528, 6024, 1998, 12367, 8082, 1012, 2428, 4669, 1996, 2275, 1011, 2039, 1998, 25545, 1012, 2126, 2205, 20810, 1012, 1018, 1013, 2324, 1013, 2286, 2260, 1024, 4002, 1024, 4002, 25933, 2863, 6774, 6865, 2121, 21475, 4596, 999, 2057, 2020, 2061, 5341, 2000, 2131, 6865, 2121, 21475, 2305, 2006, 4440, 2000, 18996, 2050, 999, 999, 2673, 2055, 1996, 7954, 2001, 6429, 1011, 2013, 1996, 16521, 2000, 1996, 6865, 2121, 21475, 4372, 13334, 2000, 1996, 15876, 2226, 2226, 22890, 8808, 5127, 2000, 1996, 9951, 2135, 11937, 21756, 1998, 27427, 5313, 11461, 7852, 29593, 1012, 1996, 2326, 2001, 2012, 6528, 6024, 1998, 5379, 1012, 2057, 11834, 3064, 2007, 1996, 3208, 1037, 2978, 2004, 2057, 8823, 1998, 2043, 2057, 2409, 2032, 2129, 2172, 2057, 3866, 1996, 7852, 29593, 2002, 3253, 2000, 3288, 2041, 2062, 1010, 2021, 2057, 2020, 11812, 999, 2065, 2017, 2064, 1005, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 22676, 2015, 1004, 20448, 2015, 2169, 2533, 2038, 2367, 15644, 1012, 3531, 5362, 3319, 2917, 2035, 1996, 5841, 2800, 2077, 3479, 1996, 2597, 2017, 2514, 2190, 11072, 2017, 1012, 2035, 22676, 2015, 1998, 20448, 2015, 2024, 2512, 1011, 3825, 1010, 2021, 2031, 5151, 6666, 999, 2057, 2036, 2031, 1037, 3528, 1997, 22676, 1998, 20448, 6695, 2800, 1999, 2256, 3206, 7640, 1006, 2000, 2022, 6866, 1999, 1996, 2621, 1007, 1012, 2035, 22676, 17362, 2024, 3223, 2000, 3073, 6947, 1997, 2037, 22676, 5918, 2005, 2082, 1012, 2054, 2003, 1996, 4489, 2090, 2019, 22676, 5443, 1012, 2019, 20448, 1029, 1011, 2019, 22676, 2003, 2151, 2880, 2030, 5337, 2565, 2008, 3640, 6742, 3325, 1999, 2019, 6139, 2030, 9518, 1012, 2009, 2003, 2589, 1999, 3863, 2005, 2082, 4923, 1006, 2788, 2004, 1037, 7665, 9095, 1007, 2013, 2019, 11459, 2267, 2030, 2118, 1012, 1011, 2019, 20448, 2003, 2019, 4495, 2000, 4553, 1037, 3119, 2030, 5114, 3325, 1999, 1037, 9059, 2492, 1012, 2019, 13357, 2071, 2022, 1037, 3076, 1010, 3522, 4619, 1010, 2030, 2619, 2559, 2000, 2689, 2476, 10425, 1012, 2119, 22676, 2015, 1998, 20448, 2015, 8676, 1997, 1037, 3180, 4882, 2147, 6134, 2306, 1037, 3327, 21358, 2546, 2533, 1998, 2024, 2881, 2000, 7818, 6818, 2658, 3716, 1998, 3325, 1012, 20448, 2015, 1010, 4406, 22676, 2015, 1010, 2024, 2025, 2005, 2880, 2082, 4923, 1012, 2005, 3980, 2055, 1996, 22676, 1998, 20448, 3454, 1010, 2030, 2005, 2062, 2592, 2006, 3563, 7640, 1010, 3531, 2655, 24406, 1011, 4700, 2620, 1011, 4700, 2683, 2629, 2030, 10373, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 2129, 2000, 6611, 1011, 6039, 2041, 2019, 4646, 1006, 2156, 4957, 2682, 1007, 1012, 1011, 22476, 1037, 6100, 1997, 2115, 13746, 1012, 3531, 12040, 2035, 5491, 1999, 11135, 4289, 1012, 1011, 5653, 1010, 6904, 2595, 2030, 8116, 2000, 1024, 5899, 2143, 2782, 2012, 2102, 2078, 1024, 22676, 1013, 20448, 1024, 1008, 3105, 2516, 2017, 4299, 2000, 6611, 2005, 1008, 12410, 16183, 3981, 2395, 1010, 5899, 1010, 19067, 6275, 19841, 2475, 5097, 2097, 2036, 2022, 2641, 2065, 2741, 2011, 10373, 1012, 1996, 3395, 2240, 2323, 3191, 22676, 1013, 20448, 1024, 1008, 3105, 2516, 2017, 4299, 2000, 6611, 2005, 1008, 2005, 2742, 1516, 22676, 1024, 5821, 25204, 3531, 2514, 2489, 2000, 2404, 2062, 2059, 2028, 3105, 1999, 1996, 3105, 2516, 2686, 1012, 22676, 1998, 20448, 6695, 3105, 6412, 1024, 6509, 2472, 1997, 5821, 2007, 2470, 1010, 23299, 5821, 4073, 1010, 2591, 2865, 1010, 2724, 4041, 1998, 4712, 1010, 4037, 6032, 1010, 2143, 5821, 9942, 1010, 2865, 4262, 1010, 2640, 1010, 1998, 4378, 15982, 4106, 1012, 3105, 5918, 1024, 2844, 2111, 4813, 1010, 2051, 2968, 4813, 1010, 1998, 3015, 4813, 1012, 5541, 1010, 2658, 1010, 16030, 1010, 1998, 6987, 1011, 8048, 1012, 4807, 1013, 5821, 4281, 1037, 4606, 1012, 7760, 18471, 4813, 2024, 1037, 4606, 1010, 2021, 2025, 3223, 1012, 3105, 6412, 1024, 3353, 2000, 1996, 2458, 2472, 1012, 1037, 5171, 2154, 2097, 2421, 18875, 2782, 4712, 2005, 2833, 3119, 2007, 2334, 7884, 1010, 10443, 2039, 2151, 18558, 2017, 2064, 2006, 1037, 4022, 12026, 4539, 1010, 3015, 1037, 5821, 6378, 2005, 1037, 2334, 2449, 1010, 2007, 2051, 1999, 2045, 4873, 2005, 29525, 3436, 9356, 2005, 2028, 1997, 2256, 2397, 2305, 2782, 4243, 1998, 2039, 16616, 2256, 12026, 7809, 1012, 3105, 5918, 1024, 2111, 4813, 1998, 2051, 2968, 4813, 2024, 1037, 2442, 1012, 25204, 2442, 2022, 6625, 2006, 1996, 3042, 1998, 1037, 5541, 3213, 1012, 5821, 1013, 4341, 4281, 6871, 1010, 2021, 2025, 3223, 1012, 3105, 6412, 1024, 1996, 2143, 2533, 2012, 5899, 2143, 2782, 2003, 1999, 3715, 1997, 4730, 3152, 2005, 1996, 2782, 1010, 6364, 1998, 8304, 10445, 1999, 1996, 2143, 2971, 1010, 9361, 3152, 1999, 1998, 2041, 2000, 3898, 2545, 1010, 1998, 5094, 2000, 3006, 21358, 2546, 2000, 2493, 1998, 16587, 1012, 25204, 2015, 2097, 2022, 3223, 2000, 2147, 1037, 3180, 6134, 2306, 2449, 2847, 1006, 6928, 2000, 5958, 2184, 2572, 2000, 1020, 7610, 1007, 1012, 1037, 17464, 25204, 2323, 2022, 6625, 2007, 7588, 1010, 2926, 2773, 1998, 24970, 1010, 8114, 1010, 26136, 6593, 8787, 1010, 22011, 1010, 1998, 2204, 2007, 2111, 1012, 2045, 2097, 2022, 1037, 3528, 1997, 8518, 2029, 2689, 4882, 2164, 5094, 2007, 5653, 1011, 21100, 1010, 8498, 17881, 1010, 19795, 1998, 5821, 5083, 25437, 1010, 1998, 20059, 16587, 1998, 2143, 11744, 1012, 3105, 5918, 1024, 2057, 2024, 2559, 2005, 1037, 2969, 1011, 11753, 1998, 1037, 3291, 1011, 9611, 2099, 2040, 2003, 4699, 1999, 2143, 1998, 2143, 1011, 3141, 2824, 1998, 4122, 2000, 2147, 2007, 1037, 9582, 1011, 17738, 7962, 2143, 2782, 2012, 1996, 2598, 2504, 1012, 2017, 2097, 2022, 3666, 2143, 1010, 3241, 2055, 2143, 1998, 21935, 2007, 16587, 1529, 2036, 2017, 2097, 2022, 2725, 2951, 4443, 1012, 1998, 2770, 9413, 13033, 2015, 1012, 2021, 2009, 2097, 2035, 2022, 1999, 1996, 2171, 1997, 2143, 1012, 3967, 1024, 2472, 1997, 4730, 1010, 6468, 15489, 2063, 3105, 6412, 1024, 5899, 2143, 2782, 9000, 1998, 10093, 13699, 8485, 2971, 14600, 1996, 2147, 1997, 1996, 3213, 1010, 7480, 4303, 1010, 1998, 9005, 1037, 14048, 2291, 2005, 2047, 4898, 2000, 2582, 2037, 2476, 2306, 1996, 3068, 1012, 3068, 8390, 6807, 1996, 5899, 2143, 2782, 2004, 1037, 4235, 9768, 1998, 2759, 3015, 2971, 1010, 2007, 4505, 2013, 6736, 1998, 2537, 3316, 8019, 1999, 1996, 13325, 2832, 1012, 2004, 1037, 9000, 2971, 2472, 25204, 2017, 2052, 2393, 1999, 1996, 2832, 1997, 15899, 9000, 2015, 1010, 4975, 17881, 1010, 8498, 15242, 1010, 1998, 14357, 2537, 3316, 2005, 13325, 1012, 3105, 5918, 1024, 4813, 2442, 2421, 1024, 2204, 2111, 4813, 1010, 3086, 2000, 6987, 1010, 1998, 1037, 19732, 2000, 2147, 1012, 1037, 3168, 1997, 8562, 2003, 2036, 1037, 15298, 2442, 1012, 3105, 6412, 1024, 3353, 2000, 1996, 2472, 1997, 2402, 16587, 2565, 1012, 2270, 6026, 1996, 21358, 2546, 2621, 2143, 3409, 1012, 2470, 1006, 1998, 3967, 1007, 2816, 1998, 2536, 4411, 2083, 2029, 2057, 2064, 3623, 2270, 7073, 1997, 1996, 1061, 22540, 1012, 2470, 2536, 4411, 2083, 2029, 2057, 2064, 2131, 2769, 1013, 12026, 2005, 1996, 1061, 22540, 1012, 14332, 20654, 2075, 1998, 5128, 2046, 3218, 3971, 2000, 7818, 1061, 22540, 1006, 25437, 1010, 4852, 11845, 2005, 6479, 1010, 4385, 1012, 1007, 5653, 8613, 2005, 1061, 22540, 1998, 5779, 1012, 14332, 20654, 2075, 3971, 2000, 7818, 5779, 1012, 3105, 5918, 1024, 25204, 2442, 2022, 5379, 1010, 22011, 1010, 5776, 1010, 4114, 1010, 1998, 2031, 2019, 3037, 1999, 2551, 2007, 4268, 999, 3105, 6412, 1024, 1996, 3034, 2533, 21566, 4898, 1521, 5857, 2000, 2143, 1004, 2547, 1012, 2076, 2176, 2420, 1997, 9320, 1010, 11167, 2015, 1004, 16587, 2897, 1004, 4553, 1996, 12225, 1997, 1996, 3119, 1517, 1996, 2396, 1010, 7477, 1004, 2449, 1997, 3898, 18560, 1004, 24466, 1516, 2013, 1996, 5972, 3209, 1010, 2877, 5365, 4898, 1010, 5501, 1010, 6443, 1010, 6074, 1010, 10489, 1998, 2537, 2194, 12706, 1012, 25204, 2097, 6509, 1996, 3034, 2472, 1999, 19795, 2122, 3365, 9320, 1998, 13621, 3604, 1998, 26167, 2005, 2256, 5182, 6368, 1012, 3105, 5918, 1024, 2111, 4813, 2024, 1037, 2442, 1012, 2017, 2442, 2022, 6625, 2006, 1996, 3042, 1010, 2583, 2000, 4800, 10230, 2243, 1010, 1998, 3811, 4114, 1012, 2009, 2003, 6871, 2008, 2017, 2031, 2019, 3037, 1999, 2143, 1998, 2143, 1011, 3141, 2824, 1012, 4973, 1997, 5704, 2421, 1024, 13951, 1999, 5653, 21100, 1010, 19018, 3604, 2009, 26455, 12086, 1010, 5128, 2362, 2811, 23730, 1010, 2470, 3967, 2592, 1059, 1013, 6736, 1998, 1013, 2030, 5997, 5130, 1010, 5821, 1010, 1998, 19642, 7314, 2076, 3034, 1012, 3105, 6412, 1024, 1996, 2436, 3208, 22013, 1998, 9319, 1996, 5899, 2143, 2782, 2436, 1012, 1996, 2436, 3208, 1521, 1055, 25204, 2015, 2097, 2022, 2920, 1999, 2724, 4041, 1998, 2622, 12016, 2004, 2092, 2004, 8498, 1996, 2154, 2000, 2154, 3450, 1997, 1996, 2436, 1012, 3105, 5704, 4372, 14162, 1024, 13951, 1996, 2436, 3208, 1999, 10739, 1996, 11640, 1010, 4526, 1998, 8498, 17881, 1010, 4526, 1998, 14120, 2000, 10373, 1012, 2070, 2060, 8518, 2443, 2024, 13951, 2007, 2143, 25437, 2105, 5899, 1010, 7678, 2041, 1011, 1997, 1011, 2436, 9413, 13033, 2015, 1010, 1998, 2893, 3976, 16614, 2005, 2367, 3934, 2000, 2022, 2949, 1012, 3105, 5918, 1024, 2442, 10580, 2767, 20942, 1998, 2031, 2204, 4807, 4813, 1012, 13296, 4813, 1998, 4800, 1011, 4708, 2075, 2003, 1037, 2442, 999, 27792, 3042, 3802, 7413, 4674, 3223, 1012, 3105, 6412, 1024, 8456, 1996, 3237, 2472, 1998, 1996, 3237, 3353, 2007, 3679, 8518, 1012, 5704, 2421, 2770, 9413, 13033, 2015, 1010, 4488, 3831, 8518, 1010, 5821, 1010, 1998, 2070, 10975, 2147, 1012, 4495, 3024, 2000, 5114, 2724, 4041, 3325, 1998, 4553, 1996, 12708, 1997, 5155, 2019, 3296, 2143, 2782, 1012, 3105, 5918, 1024, 6224, 12774, 3265, 2007, 2969, 1011, 2968, 6459, 1998, 6581, 13296, 4813, 1012, 2442, 10295, 3754, 2000, 4800, 1011, 4708, 1998, 2031, 2204, 4807, 4813, 1012, 3325, 1999, 10975, 2003, 6871, 1010, 2021, 2025, 3223, 1012, 1996, 2006, 2466, 9260, 25204, 2097, 6509, 1999, 1996, 2695, 1011, 2537, 5704, 6989, 2007, 1996, 7781, 1997, 2006, 2466, 1010, 2019, 5899, 2143, 2782, 2565, 2747, 2770, 2006, 13683, 1011, 1047, 20974, 2226, 1012, 2006, 2466, 9260, 25204, 2015, 2097, 2036, 6509, 1996, 3237, 2472, 1010, 1996, 3237, 3353, 1010, 1998, 1996, 2006, 2466, 3135, 2007, 3679, 8518, 20246, 2000, 1996, 9260, 1997, 1996, 2265, 1010, 2004, 2092, 2004, 2060, 2460, 2512, 1011, 2006, 2466, 9260, 14799, 1012, 4495, 3024, 2000, 5114, 3325, 1999, 2270, 2547, 1998, 2000, 4553, 1996, 2695, 1011, 2537, 3136, 1997, 5155, 1037, 2694, 2265, 1012, 5704, 1004, 10198, 1024, 1996, 10198, 1997, 1996, 2006, 2466, 25204, 2421, 1010, 2021, 2024, 2025, 3132, 2000, 1024, 1011, 4632, 6633, 9709, 5931, 3013, 10071, 2005, 1996, 2265, 1011, 9099, 3597, 4667, 10751, 8333, 1011, 2865, 2968, 1997, 2678, 1998, 5746, 6764, 1011, 26351, 12053, 8333, 1011, 9167, 2075, 2367, 3642, 6169, 1013, 4248, 7292, 2015, 1997, 10071, 1011, 2437, 10751, 28727, 4809, 1997, 4178, 1011, 12771, 6764, 2005, 3609, 18140, 1998, 2614, 6809, 1011, 8498, 8094, 2015, 1998, 9384, 15117, 2015, 5994, 1996, 2265, 1011, 13951, 2007, 4807, 2007, 1996, 13683, 8727, 1010, 1047, 20974, 2226, 1011, 5047, 18777, 2592, 1011, 2442, 2031, 2345, 3013, 4013, 3325, 1011, 2442, 2031, 3325, 2551, 2006, 1037, 6097, 1011, 3325, 2007, 29329, 1010, 7760, 18471, 1037, 4606, 1011, 2442, 10580, 2767, 20942, 1011, 2031, 5151, 4807, 4813, 1011, 6581, 13296, 4813, 1011, 4800, 1011, 4708, 2075, 2003, 1037, 2442, 999, 3353, 2000, 1996, 2472, 1997, 3360, 2495, 1012, 5704, 1004, 10198, 1024, 1996, 10198, 1997, 1996, 2402, 12127, 1521, 1055, 25204, 2421, 1010, 2021, 2024, 2025, 3132, 2000, 1024, 1011, 1528, 10651, 8819, 3679, 1011, 5441, 15242, 1998, 3029, 2005, 3409, 1011, 10639, 2007, 5821, 2533, 2006, 1037, 4882, 3978, 1012, 1011, 6509, 3409, 10669, 1998, 3409, 2472, 2076, 3409, 1012, 1011, 6509, 3409, 19922, 1999, 21238, 2493, 1998, 3941, 2224, 1012, 1011, 5441, 2039, 1011, 2000, 1011, 3058, 4807, 1011, 2007, 3008, 1997, 5068, 2493, 1012, 1011, 10651, 2030, 3443, 3596, 1998, 6254, 2734, 2005, 3409, 1998, 8819, 1012, 1011, 6509, 2007, 2770, 1996, 2621, 2143, 3409, 13398, 1011, 5653, 8613, 2005, 1061, 22540, 1998, 5779, 1012, 14332, 20654, 2075, 3971, 2000, 7818, 5779, 1012, 1011, 2270, 6026, 1996, 21358, 2546, 2621, 2143, 3409, 1011, 2470, 1006, 1998, 3967, 1007, 2816, 1998, 2536, 4411, 2083, 2029, 2057, 2064, 3623, 2270, 7073, 1997, 1996, 1061, 22540, 1012, 1011, 6509, 2472, 1997, 3360, 2495, 2007, 2119, 2621, 2143, 3409, 1998, 15641, 3454, 1011, 2442, 2022, 5379, 1011, 2031, 2019, 3037, 1999, 2551, 2007, 4268, 999, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1045, 2147, 1999, 1037, 3309, 1999, 2624, 3799, 1012, 3419, 18074, 1005, 1055, 2365, 1006, 2036, 2785, 1997, 4658, 2004, 2111, 2175, 1007, 2001, 6595, 2007, 2149, 1012, 2028, 3944, 1010, 2105, 2809, 1051, 1005, 5119, 2030, 2061, 1010, 1996, 2365, 2743, 2627, 2033, 2012, 2440, 17010, 1012, 1045, 2134, 1005, 1056, 2228, 2172, 1997, 2009, 1012, 2011, 1998, 2011, 1010, 1045, 3984, 2048, 2781, 2101, 1010, 1037, 2317, 15620, 1996, 2946, 1997, 2019, 2948, 6839, 5064, 7757, 2046, 1996, 10578, 4224, 1012, 2320, 2153, 1010, 1045, 1529, 3191, 2062, 1090, 2026, 26959, 1998, 1045, 2020, 2893, 9202, 2326, 1999, 1037, 4825, 1010, 3432, 2138, 2057, 2020, 4147, 6312, 1012, 2044, 2057, 2057, 2938, 2091, 1010, 1037, 2402, 3232, 2001, 8901, 2279, 2000, 3915, 30102, 1524, 2061, 2027, 2071, 2131, 6659, 2326, 1010, 2205, 1012, 2092, 1010, 2026, 26959, 1998, 1996, 2402, 2158, 2020, 2574, 2039, 1999, 2608, 1010, 3061, 2279, 2000, 2169, 2060, 1998, 7491, 2012, 1996, 5003, 2050, 29656, 7913, 1040, 1005, 1037, 2193, 1997, 4654, 10814, 6024, 2015, 2025, 2428, 4906, 2005, 6140, 1012, 1045, 1005, 1049, 1529, 3191, 2062, 1090, 1045, 2481, 1005, 1056, 2644, 4582, 2012, 2010, 2192, 1012, 1996, 2192, 2008, 2018, 6908, 2061, 2116, 7921, 5235, 2050, 30102, 1524, 1996, 2192, 2008, 2018, 2979, 1996, 14390, 2000, 3377, 1999, 1996, 4602, 2208, 2412, 2209, 2050, 30102, 1524, 2001, 1037, 2158, 11533, 15020, 1012, 2002, 2218, 1996, 4629, 2666, 1999, 2010, 2701, 7345, 1010, 2664, 2145, 3266, 2000, 11969, 2041, 2028, 3819, 8285, 14413, 2044, 2178, 1012, 2002, 2001, 3591, 2007, 2035, 5450, 1997, 28663, 1998, 2060, 5200, 2000, 3696, 1010, 1998, 2106, 2061, 2007, 4519, 1529, 3191, 2062, 1090, 2296, 2051, 1045, 2963, 1996, 19484, 11979, 1997, 10829, 1998, 14085, 2332, 5624, 4823, 1000, 4895, 29278, 18150, 10880, 1010, 1000, 1045, 2228, 1997, 2054, 1037, 4658, 3124, 14085, 2001, 1012, 1996, 2095, 2001, 3851, 1012, 2045, 1045, 2001, 1010, 2539, 2086, 2214, 1010, 2025, 3243, 2732, 1011, 4930, 1998, 10678, 2007, 1996, 13720, 2000, 6807, 3087, 3297, 1012, 2307, 4813, 2005, 1996, 23775, 2012, 1037, 8900, 2449, 3208, 1005, 1055, 2436, 1012, 2028, 1997, 1996, 7846, 2001, 14085, 2332, 5624, 1012, 2002, 4703, 2234, 1529, 3191, 2062, 1090, 2009, 2001, 2621, 1010, 2980, 1998, 5492, 2100, 1010, 1998, 2057, 2020, 1999, 1996, 2117, 1011, 2504, 1038, 19738, 21844, 3666, 1037, 12281, 2208, 1012, 2045, 2001, 1037, 23960, 1010, 2524, 2000, 6235, 1010, 2021, 1996, 2773, 1035, 24337, 1035, 2001, 2746, 2041, 1997, 2116, 15076, 1998, 4641, 2559, 2058, 1996, 11673, 1012, 1997, 2607, 1010, 10628, 4152, 1996, 2190, 1997, 2149, 1010, 1998, 1045, 2246, 1010, 2205, 2050, 30102, 1524, 2074, 1999, 2051, 2000, 2156, 1037, 4714, 2210, 5898, 2100, 1011, 25973, 2158, 2007, 1037, 4121, 2132, 1998, 18307, 2304, 2606, 1529, 3191, 2062, 1090, 2026, 3168, 1997, 4476, 2003, 2125, 1011, 11382, 21928, 1012, 1045, 2499, 2012, 1035, 1996, 3892, 2265, 1035, 1998, 2288, 2023, 2485, 2000, 19769, 10498, 1010, 18520, 7207, 1010, 3419, 8592, 1010, 7939, 12638, 2899, 1010, 3419, 11612, 1010, 3889, 2729, 3363, 1010, 1998, 1037, 22889, 7974, 1997, 2500, 1012, 2021, 1045, 2001, 2196, 6135, 15261, 2011, 2151, 1997, 2009, 1012, 2017, 3328, 2011, 2619, 2008, 3297, 1998, 2017, 4066, 2050, 2514, 2066, 2045, 1005, 1055, 2498, 2000, 2009, 2138, 2009, 1005, 1055, 1037, 16437, 2050, 30102, 1524, 2009, 1005, 1055, 9813, 1010, 2023, 5365, 2518, 1012, 1045, 2001, 1529, 3191, 2062, 1090, 3071, 2038, 2037, 2617, 2007, 2619, 3297, 2050, 30102, 1524, 2092, 1010, 2471, 3071, 1012, 2995, 2000, 2828, 1010, 1045, 3961, 1996, 20680, 2005, 1000, 7104, 1005, 1055, 2375, 1000, 1024, 8299, 1024, 1013, 1013, 4372, 1012, 16948, 1012, 8917, 1013, 15536, 3211, 1013, 7104, 1003, 2676, 2015, 1035, 2375, 1010, 1037, 8027, 1045, 3913, 2012, 1996, 2519, 1997, 2026, 7133, 1010, 8538, 1051, 1005, 26458, 2078, 1012, 2096, 1045, 2001, 2542, 1998, 2551, 2116, 2086, 3283, 1999, 26372, 1010, 5242, 1010, 2026, 11190, 2953, 11451, 2018, 2536, 22569, 1012, 2028, 1010, 2005, 6013, 1010, 2001, 2383, 3256, 6949, 2012, 1037, 2334, 4497, 1010, 2073, 2002, 2001, 2583, 2000, 3113, 1998, 2831, 2007, 2198, 1529, 3191, 2062, 1090, 1045, 1005, 1040, 2196, 2464, 1037, 3297, 2711, 2039, 2485, 1999, 2026, 2166, 1010, 1998, 1045, 2018, 9735, 2000, 1996, 3098, 2305, 2012, 1996, 1000, 12121, 2135, 23714, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 12121, 2135, 2863, 7382, 14573, 1012, 5658, 1013, 1997, 1035, 1996, 9016, 1010, 1035, 1037, 2377, 2517, 2011, 18202, 13218, 1012, 1045, 2113, 1012, 1000, 4297, 2239, 3401, 11444, 3468, 999, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 7858, 1012, 4012, 1013, 3422, 1029, 1058, 1027, 1015, 1011, 1038, 2581, 10867, 7382, 6460, 2080, 1996, 2305, 1997, 1996, 2377, 1010, 1045, 2253, 2041, 2005, 1037, 5404, 1998, 1037, 7954, 1010, 1998, 3013, 2091, 2000, 1996, 4258, 1012, 2009, 1005, 1055, 1037, 2235, 2173, 2073, 3071, 2003, 8901, 2485, 2362, 1010, 1998, 1045, 2001, 1529, 3191, 2062, 1090, 1045, 2123, 1005, 1056, 2131, 2000, 2502, 1011, 2171, 6759, 2172, 1006, 2145, 2006, 1996, 2000, 1011, 2079, 2862, 1024, 2156, 3159, 1010, 11284, 1010, 1998, 11958, 6769, 1007, 1012, 2021, 2043, 7437, 22962, 2234, 2000, 1000, 11635, 2534, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 11635, 9892, 1012, 4012, 1013, 1010, 1045, 5598, 2012, 1996, 3382, 1012, 1045, 1005, 1040, 3866, 2014, 2043, 1045, 2001, 1999, 3694, 2082, 1998, 2018, 26733, 1996, 6569, 2015, 1997, 2014, 2189, 2004, 2019, 4639, 2043, 2016, 2106, 1037, 1000, 3104, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 7858, 1012, 4012, 1013, 3422, 1029, 1058, 1027, 1060, 21693, 2497, 2595, 2480, 2860, 2595, 7959, 2226, 1997, 1996, 1000, 4323, 2299, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 7858, 1012, 4012, 1013, 3422, 1029, 1058, 1027, 1062, 20464, 2509, 2497, 2629, 2140, 12193, 3597, 2000, 1035, 1996, 2984, 7482, 5405, 2265, 1035, 1037, 2261, 2086, 3283, 1012, 3191, 2062, 1090, 2089, 2340, 1010, 2263, 2050, 30102, 1524, 1045, 3342, 2009, 2074, 2066, 7483, 1012, 2026, 7133, 1998, 1045, 2253, 2000, 1037, 4164, 1045, 2245, 2016, 2052, 2066, 1012, 1012, 1012, 1998, 1045, 3092, 2039, 19882, 2007, 2014, 2087, 1997, 1996, 2051, 2044, 1996, 2265, 1012, 27660, 2050, 2003, 1037, 6983, 10145, 3384, 2316, 1010, 2004, 1999, 2027, 2377, 3082, 3384, 2006, 10145, 3736, 30102, 1524, 2200, 12476, 1012, 1045, 1005, 1049, 15896, 2007, 2296, 6983, 2316, 1045, 4952, 2000, 1010, 2138, 2000, 2033, 2027, 2191, 2070, 7490, 2189, 999, 2067, 1529, 3191, 2062, 1090, 2009, 2001, 1037, 16373, 3058, 2305, 1999, 5862, 1010, 2028, 1997, 2216, 4678, 2335, 2043, 3008, 6133, 2000, 13583, 2185, 2000, 3422, 1037, 3185, 2006, 1996, 2428, 2502, 3898, 1012, 1996, 4258, 2001, 2440, 1010, 2021, 1996, 2835, 2279, 2000, 2033, 2001, 4064, 1010, 5552, 2011, 1037, 2450, 2000, 2026, 2157, 1012, 2057, 11834, 3064, 1998, 19700, 2050, 30102, 1524, 3251, 2055, 4268, 2030, 6984, 1996, 10459, 2835, 2013, 12630, 1010, 1045, 24260, 30102, 30108, 2102, 3342, 1012, 1045, 2371, 8183, 18660, 1010, 1998, 2009, 1529, 3191, 2062, 1090, 1037, 2767, 2012, 2147, 6749, 1037, 2338, 16436, 2135, 4159, 1035, 2129, 2000, 2131, 2000, 1045, 2079, 1010, 1035, 2029, 9449, 2008, 1010, 1999, 2344, 2000, 2022, 3144, 1006, 2029, 2035, 23160, 2113, 2965, 2893, 2496, 1007, 1010, 1037, 2308, 2734, 2000, 5630, 2065, 2016, 1005, 1055, 1996, 2450, 2030, 1996, 2158, 1998, 2059, 6293, 2000, 2008, 2535, 1999, 1037, 3276, 1012, 2009, 2035, 4627, 2007, 2008, 2034, 6054, 1010, 1996, 2338, 2056, 1012, 2065, 2017, 1005, 2128, 1996, 2450, 1010, 2017, 1005, 2310, 2288, 2000, 2868, 1998, 1529, 3191, 2062, 1090, 1045, 2001, 6595, 2012, 1996, 20004, 3309, 1999, 9774, 1999, 2220, 2233, 1012, 2746, 2067, 2013, 4596, 1010, 1045, 2387, 1037, 4306, 1997, 2111, 3061, 2105, 1996, 2217, 6164, 1012, 1045, 2356, 2054, 2001, 2183, 2006, 1010, 1998, 2619, 3880, 1010, 1000, 5212, 4027, 2003, 2725, 1037, 3185, 1012, 1000, 1045, 2679, 2039, 2000, 2026, 2282, 1010, 6723, 1037, 7279, 1998, 1037, 20619, 1010, 1998, 2272, 2067, 2091, 1012, 1045, 13583, 2104, 1996, 3036, 14607, 1006, 2172, 2000, 1996, 15775, 24860, 1997, 1529, 3191, 2062, 1090, 1046, 1005, 9932, 2002, 19585, 2050, 29652, 10861, 2140, 28940, 1005, 4895, 1010, 3802, 1010, 13642, 2278, 4895, 7987, 14663, 1040, 1005, 18846, 1010, 2000, 10421, 2015, 16839, 5352, 2365, 2102, 8136, 2050, 29652, 2229, 11968, 25170, 1024, 4649, 17268, 2015, 18911, 1010, 3393, 16480, 26289, 2102, 1010, 3393, 27793, 2078, 4372, 8945, 2050, 29656, 2618, 1010, 7505, 3393, 12385, 10581, 3351, 1012, 1000, 2821, 1010, 14933, 1010, 1000, 9932, 1011, 15333, 4487, 2102, 1012, 1000, 1039, 1005, 9765, 15544, 8189, 30102, 1524, 15333, 12436, 2483, 14115, 18116, 1012, 1000, 15333, 2033, 24086, 2015, 21790, 11488, 29652, 2063, 10364, 4189, 2063, 4895, 17268, 11937, 2015, 2139, 12256, 2021, 2378, 1012, 4372, 7882, 4649, 6300, 5602, 1010, 1046, 1005, 9932, 24728, 16655, 2364, 18952, 29481, 4895, 6643, 12647, 2139, 6643, 29645, 4570, 1012, 3393, 1043, 6856, 8043, 18033, 4895, 17266, 4372, 12731, 4313, 1012, 1529, 3191, 2062, 1090, 2009, 2001, 1037, 4010, 2154, 1999, 2047, 5979, 1012, 9388, 4305, 24665, 3022, 2018, 1996, 4534, 2440, 1997, 25166, 1998, 4569, 1012, 2087, 1997, 1996, 2154, 1005, 1055, 8401, 2791, 2018, 2979, 1010, 1998, 1996, 3103, 2001, 4292, 4218, 1996, 9154, 1012, 1045, 2001, 15013, 2091, 1996, 10789, 4534, 1997, 1996, 2413, 4284, 2007, 1037, 2261, 2814, 1012, 2057, 2020, 22331, 1998, 2635, 1999, 2035, 1996, 15925, 2256, 2159, 2071, 5047, 1012, 2026, 3579, 2001, 3805, 1997, 2033, 1012, 1996, 4165, 1529, 3191, 2062, 1090, 1045, 2777, 5696, 20726, 2012, 1037, 2300, 1011, 5680, 8320, 1999, 16392, 2067, 1999, 2267, 1012, 1000, 1045, 1005, 1049, 1996, 4121, 3367, 10646, 5470, 1010, 1000, 2026, 2190, 2767, 18822, 12670, 9072, 1010, 2975, 2033, 2417, 1011, 4320, 1012, 20726, 3281, 1998, 15583, 2149, 1010, 2059, 2253, 2006, 2000, 26478, 8609, 9869, 2149, 2006, 2256, 4483, 2147, 1012, 2002, 4930, 2033, 2004, 2108, 2200, 4206, 1998, 18840, 1037, 4066, 1997, 4519, 2008, 2003, 27427, 2229, 26775, 18410, 3468, 1012, 1037, 2261, 3134, 2101, 1010, 2002, 4265, 1037, 13800, 16492, 1011, 11601, 4544, 1010, 2021, 1529, 3191, 2062, 1090, 2009, 2001, 2026, 10628, 2008, 5225, 2033, 2041, 1997, 2026, 2436, 2008, 2852, 14644, 2100, 2154, 1999, 2857, 1012, 1045, 2499, 2004, 1037, 7740, 3931, 2005, 2059, 1011, 5882, 1997, 1996, 2160, 3419, 17106, 1006, 1040, 1011, 11333, 1007, 1012, 2241, 2006, 9424, 2940, 1010, 1045, 15371, 1996, 11640, 1999, 2010, 9602, 1998, 3343, 2436, 1012, 2006, 2023, 2154, 1010, 1045, 1005, 1040, 2657, 2008, 2034, 3203, 18520, 7207, 2052, 2022, 6037, 1999, 28093, 24384, 2534, 2050, 30102, 1524, 1037, 2461, 2282, 1010, 3561, 2007, 11342, 1010, 2046, 2029, 2026, 1529, 3191, 2062, 1090, 2076, 2019, 3098, 1011, 2305, 5365, 2283, 2005, 2070, 2088, 1011, 6765, 2377, 1010, 1045, 3887, 2058, 2646, 20638, 1998, 2387, 2619, 2061, 2035, 12228, 2135, 5220, 1012, 2009, 5225, 2033, 1037, 2210, 4689, 2008, 1045, 2481, 2050, 30102, 30108, 2102, 3342, 2040, 2009, 2001, 1010, 3391, 2138, 1045, 2018, 2074, 2018, 1037, 4512, 2007, 1037, 2767, 2055, 14059, 3638, 1012, 2043, 1045, 2001, 3920, 1010, 1045, 2109, 2000, 2191, 10866, 4569, 1997, 2026, 3008, 2005, 17693, 3415, 1998, 5246, 1010, 1998, 2007, 1996, 24416, 1529, 3191, 2062, 1090, 2004, 1037, 1057, 1012, 1055, 1012, 2390, 4433, 4402, 1010, 24264, 30102, 30108, 2094, 2042, 4137, 2000, 1000, 4338, 4075, 1000, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 10079, 1012, 20014, 1013, 4338, 1013, 1999, 1996, 7114, 1997, 3890, 1010, 3529, 2004, 15775, 16093, 7959, 3126, 2005, 2250, 3580, 8610, 10590, 23023, 1997, 1996, 2548, 2250, 2486, 1012, 1996, 2847, 2020, 2146, 1010, 2021, 2002, 2641, 2026, 3791, 1998, 9768, 2026, 2326, 1012, 1045, 5632, 1996, 14293, 1997, 3116, 3297, 11593, 1998, 2130, 1037, 2142, 2163, 2343, 2050, 30102, 1524, 14304, 16551, 1012, 1045, 2354, 2195, 2236, 3738, 1998, 5632, 1037, 8203, 4847, 2007, 2070, 1012, 1529, 3191, 2062, 1090, 9805, 2361, 1010, 2023, 2003, 1037, 2995, 2466, 1010, 1998, 2008, 2001, 2471, 1996, 17653, 2416, 2086, 3283, 2043, 4913, 1010, 1037, 2767, 2013, 2167, 3792, 1010, 2234, 2000, 5247, 1996, 5353, 1999, 2047, 2259, 2007, 2033, 1012, 2010, 2069, 5227, 2001, 1000, 2000, 2156, 2673, 1999, 1035, 2188, 2894, 1012, 1000, 1035, 2061, 2045, 2057, 2020, 1999, 1996, 2690, 1997, 16392, 1010, 2012, 1037, 4026, 2422, 2090, 2048, 2312, 9322, 1012, 4913, 1999, 1996, 2067, 1010, 6609, 1999, 1996, 2392, 1010, 1998, 1529, 3191, 2062, 1090, 5376 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2709, 2000, 24051, 2015, 2364, 3931, 12917, 23942, 3181, 3789, 2651, 1025, 7041, 4152, 1057, 1012, 1055, 1012, 9698, 3570, 1025, 7795, 8769, 21914, 2046, 8341, 1025, 5729, 3684, 5081, 4247, 2083, 2172, 1997, 1057, 1012, 1055, 1012, 1025, 2731, 2007, 1996, 5610, 21097, 2015, 1025, 2577, 27946, 2041, 1997, 7173, 1025, 12004, 2128, 29098, 14644, 2379, 4880, 19429, 1025, 2283, 2007, 1037, 3800, 1025, 3105, 3930, 4030, 2015, 1999, 2238, 4836, 2251, 1021, 1010, 2262, 1011, 2260, 1024, 4002, 3802, 2023, 2003, 1037, 5481, 24051, 1012, 2023, 6100, 2089, 2025, 2022, 1999, 2049, 2345, 2433, 1998, 2089, 2022, 7172, 1012, 5639, 10722, 19944, 1010, 13229, 8133, 1024, 2023, 2003, 1037, 3181, 2154, 1999, 12917, 1010, 2044, 2871, 2086, 1997, 9587, 3286, 7849, 11721, 17516, 8873, 1005, 1055, 3627, 1010, 19232, 2015, 7732, 2039, 2000, 3789, 1999, 1996, 2406, 1005, 1055, 2034, 2489, 2602, 1012, 2027, 2020, 11322, 2075, 1037, 2120, 3320, 2008, 2097, 2022, 3625, 2005, 28050, 1037, 17459, 2231, 1012, 2026, 11729, 1010, 13229, 3135, 8183, 24805, 13173, 5104, 5369, 2232, 1010, 2003, 2444, 1999, 21841, 1012, 8183, 24805, 1010, 2009, 1005, 1055, 1037, 3181, 2154, 1012, 2054, 1005, 1055, 1996, 6888, 2426, 1996, 2111, 2157, 2085, 1998, 2003, 14303, 15512, 2204, 1029, 8183, 24805, 13173, 5104, 5369, 2232, 1010, 13229, 3135, 1024, 5639, 1010, 2009, 1005, 1055, 2042, 2019, 9788, 2154, 1012, 2111, 2182, 1010, 2045, 1005, 1055, 1037, 3168, 1997, 2120, 6620, 1012, 2111, 2024, 4439, 2105, 21841, 1999, 2037, 3765, 12015, 1996, 2489, 12917, 5210, 1998, 4760, 2037, 10710, 2098, 3093, 1010, 1037, 3696, 1997, 6620, 1999, 1037, 2695, 1011, 4329, 5424, 3032, 2122, 2420, 1012, 1996, 15512, 2061, 2521, 2038, 2042, 3492, 2204, 2429, 2000, 1996, 6092, 3222, 1012, 2057, 5987, 2000, 2963, 2062, 2043, 1996, 14592, 2485, 1012, 2027, 1005, 2128, 3517, 2000, 2485, 1999, 2055, 2048, 2847, 1010, 2825, 14305, 2000, 2008, 1012, 2021, 2061, 2521, 2057, 2024, 2409, 2062, 7206, 2084, 3517, 2031, 2357, 2041, 1012, 10722, 19944, 1024, 8183, 24805, 1010, 2040, 1005, 1055, 2006, 1996, 10428, 2651, 1029, 13173, 5104, 5369, 2232, 1024, 2092, 1010, 2008, 2003, 2028, 1997, 1996, 3145, 3314, 2182, 1010, 5639, 1010, 2003, 2111, 2024, 13394, 2011, 1996, 3601, 1012, 5190, 1997, 5347, 2024, 2770, 1999, 2023, 2602, 2005, 1996, 2120, 3519, 1012, 2087, 1997, 2068, 2024, 8990, 4242, 2000, 1996, 19232, 2313, 2040, 1010, 2005, 2062, 2084, 2871, 2086, 1010, 2354, 2028, 2158, 2069, 1010, 9587, 3286, 7849, 11721, 17516, 8873, 1010, 1998, 2651, 1010, 2010, 3861, 2001, 2999, 2011, 1996, 4620, 1997, 5190, 1997, 2111, 1012, 2070, 2024, 3265, 5347, 2770, 1012, 2500, 2024, 5052, 2062, 2084, 3998, 2576, 9178, 1010, 27256, 2015, 1010, 13350, 1010, 2367, 2576, 19765, 2015, 1012, 2203, 1997, 1996, 2154, 1010, 5639, 1010, 2027, 2031, 2000, 2147, 2362, 1010, 2053, 3043, 2040, 19391, 2013, 2023, 2602, 1998, 2009, 1005, 1055, 2200, 2524, 2000, 2425, 2007, 2053, 2613, 17888, 2040, 2097, 2272, 2041, 2013, 2023, 2602, 2004, 1037, 3453, 1012, 2027, 2024, 2183, 2000, 2031, 2000, 2275, 2037, 5966, 4998, 1998, 2147, 2362, 1998, 2599, 12917, 2091, 1996, 2346, 2000, 7072, 1012, 10722, 19944, 1024, 2031, 1996, 3864, 2042, 9379, 2061, 2521, 1029, 13173, 5104, 5369, 2232, 1024, 2182, 1999, 21841, 2477, 4025, 2000, 2022, 2770, 15299, 1012, 3036, 2001, 8371, 2408, 1996, 2406, 1012, 2062, 2084, 2410, 1010, 2199, 19232, 2390, 3629, 2020, 7333, 2408, 1996, 2406, 1012, 2021, 1999, 1996, 2103, 1997, 3841, 5603, 16103, 1998, 4193, 3655, 1999, 1996, 2264, 2045, 2001, 2070, 20461, 2000, 1996, 6830, 1012, 2070, 4491, 2011, 4013, 2976, 2964, 13337, 1012, 2216, 2024, 13337, 1999, 1996, 2789, 2112, 1997, 1996, 2406, 2073, 9587, 3286, 7849, 11721, 17516, 8873, 14785, 3550, 2068, 2005, 5109, 1012, 2027, 2145, 2514, 2008, 2027, 2024, 2108, 2217, 18194, 2011, 1996, 2430, 2231, 2182, 1999, 21841, 1998, 2027, 2215, 2062, 6630, 1012, 1998, 2116, 1997, 2216, 4013, 2976, 5130, 2031, 2170, 2005, 1037, 17757, 1997, 1996, 3789, 1010, 2348, 2045, 2038, 2042, 1037, 2204, 15512, 1997, 7206, 1999, 2087, 17888, 6401, 1999, 3841, 5603, 16103, 1012, 2045, 2024, 4311, 1997, 4491, 2006, 2070, 1997, 2122, 17888, 6401, 1998, 2070, 4490, 1997, 20223, 1012, 2057, 2097, 4553, 2062, 2055, 2023, 2101, 2006, 1999, 1996, 2154, 1012, 10722, 19944, 1024, 2345, 3160, 2005, 2017, 1010, 8183, 24805, 1010, 2129, 2097, 1996, 2602, 1997, 1996, 17459, 2231, 2147, 1029, 13173, 5104, 5369, 2232, 1024, 2092, 1010, 2054, 2003, 2183, 2000, 4148, 2085, 1010, 2003, 3263, 19232, 2015, 2024, 2183, 2000, 2022, 2700, 2046, 2023, 2120, 3519, 1998, 2027, 2031, 2055, 2382, 2420, 2000, 2171, 1037, 3539, 2704, 2005, 2023, 17459, 2231, 2040, 2097, 2031, 2000, 2404, 2362, 1037, 5239, 1012, 2027, 2031, 1037, 2146, 2862, 1997, 3314, 1010, 5639, 1010, 2000, 3066, 2007, 1010, 3225, 2007, 3036, 1012, 2111, 1005, 1055, 10908, 2024, 2428, 2152, 1012, 2116, 2182, 2514, 2008, 2023, 2602, 2003, 2242, 2066, 1037, 3894, 23967, 2008, 2003, 2183, 2000, 9611, 2037, 3471, 1012, 22286, 2037, 2862, 1997, 3314, 1010, 7670, 2013, 2037, 2047, 2700, 4584, 2003, 3036, 1012, 12917, 2003, 2145, 2521, 2013, 6540, 1012, 2045, 2024, 2062, 2084, 3263, 1010, 2199, 2111, 2040, 2024, 4273, 1999, 12917, 1010, 29271, 2008, 2024, 4055, 2247, 3164, 3210, 1012, 1998, 2054, 2027, 2215, 2000, 2156, 2003, 1037, 2844, 2231, 2008, 19391, 2008, 2003, 2583, 2000, 5853, 1999, 2122, 29271, 1998, 3443, 1037, 2844, 2610, 1998, 2390, 2486, 2206, 2008, 2003, 3937, 2578, 1010, 2164, 2740, 2729, 1012, 10722, 19944, 1024, 8183, 24805, 1010, 3504, 2066, 2017, 2071, 2022, 3061, 1999, 2392, 1997, 7359, 2030, 11937, 27798, 1012, 1037, 2200, 3835, 3105, 1010, 4067, 2017, 2005, 7316, 2005, 2149, 1010, 8183, 24805, 13173, 5104, 5369, 2232, 1012, 2092, 1010, 1996, 1057, 1012, 1055, 1012, 2038, 2445, 7041, 1037, 5592, 1010, 2069, 1037, 2261, 2060, 3032, 2031, 1010, 9698, 3570, 1012, 3187, 1997, 2110, 18520, 7207, 2081, 1996, 8874, 2076, 2019, 14477, 10695, 23709, 11788, 3942, 2000, 21073, 1012, 1996, 9698, 3570, 3957, 7041, 3229, 2000, 1057, 1012, 1055, 1012, 3639, 4219, 1998, 2731, 1010, 3805, 1997, 1996, 2297, 1057, 1012, 1055, 1012, 10123, 10534, 1012, 7207, 2758, 1996, 8259, 2003, 6461, 2012, 4363, 7041, 5851, 2005, 1996, 2146, 2744, 1012, 1006, 4088, 2678, 12528, 1007, 18520, 7207, 1010, 1057, 1012, 1055, 1012, 3187, 1997, 2110, 1024, 2256, 6143, 5386, 3820, 2003, 2025, 6461, 2012, 2151, 2060, 2406, 1012, 2256, 3125, 2003, 2000, 2147, 2007, 1996, 2555, 1998, 1996, 2248, 2451, 2000, 12919, 7041, 1005, 1055, 4896, 2061, 2008, 1996, 6653, 2003, 3144, 1998, 1996, 12632, 2111, 3209, 2064, 2202, 5368, 1998, 1996, 2925, 1997, 7041, 2097, 2022, 13726, 1998, 2062, 5851, 1012, 1006, 2203, 2678, 12528, 1007, 10722, 19944, 1024, 3680, 1012, 7207, 2085, 4641, 2000, 1037, 15009, 3116, 1999, 5522, 2000, 8587, 3361, 2490, 2005, 7041, 1012, 2085, 2000, 7795, 1010, 2073, 1996, 4808, 2003, 9359, 3458, 1996, 3675, 1010, 2048, 7596, 15801, 21914, 5045, 2013, 7795, 7549, 2046, 1037, 12592, 3675, 2237, 1012, 2048, 9042, 8711, 2020, 2730, 1998, 2048, 2500, 5303, 1012, 4808, 4247, 2408, 1996, 2406, 1012, 2012, 2560, 4090, 2111, 2351, 1999, 7795, 2651, 1012, 2012, 1037, 3116, 1999, 3000, 1010, 3187, 1997, 2110, 7207, 18461, 3607, 1998, 2859, 2005, 10851, 4073, 2000, 2327, 10814, 9042, 2343, 4632, 4215, 1012, 2067, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 4030, 1998, 6706, 2003, 13946, 2000, 2022, 1037, 3974, 5257, 2005, 5190, 1997, 2111, 2040, 2031, 2042, 2302, 2373, 2085, 2005, 1037, 2440, 2733, 1012, 10604, 2024, 2145, 2667, 2000, 9239, 6451, 2000, 2070, 3998, 1010, 2199, 6304, 1999, 1996, 3054, 1011, 4448, 1998, 1996, 4794, 1012, 2065, 2008, 2347, 1005, 1056, 2919, 2438, 1010, 7715, 2024, 2183, 2000, 2022, 2130, 22302, 1999, 2070, 1997, 2216, 3655, 2651, 1012, 2292, 1005, 1055, 2735, 2000, 23879, 8662, 10481, 12872, 2000, 2156, 2073, 1996, 2502, 16796, 2024, 2651, 1012, 1998, 1037, 7339, 2012, 2129, 2919, 2023, 3684, 4400, 2038, 2941, 2042, 1012, 10481, 12872, 1010, 2572, 2015, 23879, 8662, 1024, 7632, 1010, 2204, 5027, 1010, 5639, 1012, 2017, 2113, 1010, 2057, 2020, 2074, 3331, 2055, 1010, 1997, 2607, 1010, 2035, 1997, 2216, 2373, 2041, 13923, 1012, 2074, 2061, 2017, 2113, 1010, 2023, 3684, 4400, 2057, 1005, 2128, 13417, 2038, 2070, 5667, 2146, 3456, 1012, 1045, 2812, 1010, 2048, 3134, 3283, 1010, 1997, 2607, 1010, 2023, 2003, 1996, 3684, 4400, 2008, 2211, 1010, 2021, 2009, 2211, 2006, 1996, 2225, 3023, 1012, 1998, 2009, 2001, 1996, 2168, 3684, 4400, 1010, 2062, 2030, 2625, 1010, 2008, 4654, 10732, 28483, 3064, 1996, 3748, 26332, 1010, 2008, 2333, 2046, 1996, 3356, 13608, 1012, 3342, 2197, 5958, 2008, 2844, 6463, 2008, 2404, 2673, 2302, 2373, 1998, 2057, 1005, 2128, 3773, 1996, 2168, 3684, 1999, 1996, 4794, 1998, 4643, 1998, 3054, 1011, 4448, 1012, 2061, 2023, 2038, 5121, 2042, 3439, 1012, 2058, 1018, 1010, 3156, 3679, 2636, 1010, 2021, 2054, 1005, 1055, 2130, 2062, 5875, 2084, 2008, 1998, 2062, 3862, 1029, 2058, 11212, 1999, 1996, 2197, 2048, 3134, 2894, 1010, 2636, 2057, 1005, 2310, 2464, 2025, 2074, 1037, 3679, 2152, 1010, 2025, 2074, 1037, 7058, 2152, 1010, 2021, 3182, 2066, 5865, 1010, 2718, 7715, 2027, 1005, 2310, 2196, 2464, 2006, 2151, 2154, 2006, 2151, 3204, 2412, 1012, 7573, 2718, 8746, 1010, 2196, 2042, 2045, 1010, 2031, 2042, 2045, 1996, 2197, 2048, 3134, 1012, 8423, 2718, 11518, 1012, 2027, 2018, 2196, 2042, 2045, 1998, 2085, 2027, 2031, 1010, 2021, 4335, 2003, 2746, 1010, 2021, 2009, 2097, 2272, 2012, 1037, 3976, 1998, 1045, 1005, 2222, 2265, 2017, 2008, 1012, 2061, 2004, 2057, 2132, 2646, 2651, 7715, 2097, 2022, 1999, 1996, 2531, 1010, 8746, 2555, 1999, 2899, 1012, 4826, 2017, 2718, 7886, 1012, 2182, 1005, 1055, 2073, 1996, 29371, 1997, 3684, 3464, 1010, 2358, 1012, 3434, 2295, 1010, 9800, 2651, 1010, 5986, 4826, 1012, 2021, 2059, 2006, 6928, 1010, 2017, 2064, 2156, 1996, 3147, 2392, 3310, 2091, 1010, 14976, 2250, 2437, 2049, 2126, 1010, 28636, 8736, 1010, 8736, 2148, 1998, 2059, 3492, 2172, 1006, 27118, 21041, 3468, 1007, 1012, 2021, 2059, 2009, 2515, 2272, 2007, 2070, 3809, 8465, 1010, 1037, 4022, 2005, 2070, 15011, 12642, 1012, 2157, 2085, 2057, 2079, 2031, 1037, 8505, 19718, 3422, 6866, 2005, 2047, 2259, 2103, 1012, 2047, 2259, 1010, 2054, 2027, 2071, 2156, 2024, 15011, 3612, 26903, 2015, 2066, 2057, 1005, 2310, 2464, 2007, 1996, 4315, 15937, 2080, 1005, 1055, 1999, 1996, 2197, 2733, 1998, 1037, 2431, 1012, 2045, 1005, 1055, 2073, 2008, 4040, 2003, 2085, 2437, 2049, 2126, 2000, 2047, 2259, 1012, 2023, 2003, 1996, 2181, 2104, 5142, 2651, 1010, 2047, 2259, 1010, 6278, 1010, 2899, 1010, 6222, 2061, 5121, 2502, 22508, 2752, 2097, 2022, 2428, 19209, 2011, 2070, 2844, 12642, 9280, 2651, 1012, 1998, 5639, 1010, 2009, 1005, 1055, 2008, 4658, 2250, 2008, 1005, 1055, 2428, 5094, 2785, 1997, 1999, 18231, 2007, 1996, 14098, 2543, 2068, 2125, 2061, 2009, 1005, 1055, 1996, 3684, 2713, 1012, 10722, 19944, 1024, 10481, 1010, 2054, 2061, 4310, 2055, 2023, 1010, 1045, 2812, 1010, 2009, 1005, 1055, 2980, 1999, 2251, 2057, 1005, 2128, 2109, 2000, 2008, 1010, 2021, 2005, 2172, 1997, 1996, 2406, 2009, 2001, 1037, 4010, 3467, 1012, 2061, 2057, 4033, 1005, 1056, 2018, 3147, 4633, 2005, 2061, 2146, 1999, 2061, 2116, 3033, 1997, 1996, 1057, 1012, 1055, 1012, 12872, 1024, 2008, 1005, 1055, 2157, 1012, 2045, 1005, 1055, 2498, 3147, 2055, 2023, 4658, 2250, 1010, 2498, 3147, 2055, 2256, 2627, 3467, 1012, 2017, 2113, 1010, 2023, 18499, 2063, 12102, 2054, 2057, 2031, 2746, 2005, 1996, 2621, 1010, 2428, 1010, 12077, 1998, 9252, 1012, 1998, 2057, 1005, 2310, 2464, 2008, 2138, 2017, 2113, 1010, 5639, 1010, 1996, 2305, 2051, 7715, 2008, 2123, 1005, 1056, 4530, 6595, 1999, 1996, 2659, 16002, 1010, 2302, 1037, 2712, 1010, 2029, 2116, 2111, 1999, 1996, 2167, 2123, 1005, 1056, 2031, 1010, 2008, 1005, 1055, 2428, 2073, 2009, 1005, 1055, 3352, 3243, 9252, 1012, 10722, 19944, 1024, 10481, 1010, 4067, 2017, 2200, 2172, 1012, 6931, 1010, 2205, 1010, 2172, 4542, 2003, 1996, 3291, 1012, 1999, 2670, 3607, 1010, 5956, 9451, 2038, 2730, 2062, 2084, 2531, 2111, 1012, 2017, 2064, 2156, 2972, 2103, 4534, 2024, 3294, 13563, 1012, 3765, 2024, 15577, 1012, 7186, 5880, 2015, 3123, 2322, 2519, 1998, 2111, 2020, 6680, 1012, 2070, 2020, 10148, 2011, 2610, 2044, 6224, 9277, 2006, 15753, 1998, 3628, 1012, 2067, 1999, 1996, 1057, 1012, 1055, 1012, 1998, 2000, 1037, 2186, 1997, 16431, 1999, 1996, 2110, 1997, 4058, 1012, 2610, 2024, 11538, 2176, 6677, 1999, 8446, 4212, 2008, 1005, 1055, 2055, 3438, 2661, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 9317, 1010, 2254, 2861, 1010, 2289, 2048, 18508, 4727, 1999, 2028, 2154, 1029, 5263, 1529, 2280, 25610, 2278, 3502, 18741, 3410, 13559, 3664, 3654, 2001, 4727, 2006, 9857, 1999, 15448, 2006, 5571, 1997, 9861, 1012, 3664, 3654, 2001, 3856, 2039, 2011, 2610, 2096, 2002, 2001, 9405, 1037, 4946, 2008, 2001, 3753, 2005, 1996, 2142, 2163, 1012, 2002, 2001, 4727, 2005, 4593, 7989, 2000, 3477, 2067, 8223, 9711, 5472, 5740, 1010, 1037, 2759, 2109, 2482, 18968, 1999, 1996, 2406, 1010, 1002, 5179, 1010, 2199, 2005, 2176, 3765, 3664, 3654, 2038, 4156, 1999, 2285, 2384, 1012, 3664, 3654, 2018, 5763, 2000, 3477, 1996, 2440, 3815, 2005, 1996, 4683, 2157, 2044, 2010, 2954, 2007, 7436, 2139, 2474, 7570, 3148, 2006, 2089, 5351, 1997, 2197, 2095, 1012, 2174, 2706, 2253, 2011, 1998, 3664, 3654, 2196, 2435, 5472, 5740, 1996, 7909, 1012, 3984, 2040, 2842, 2001, 4727, 1029, 2008, 1521, 1055, 2157, 1010, 2280, 25610, 2080, 27145, 24782, 3660, 6676, 2001, 4727, 2153, 2006, 4319, 5571, 1999, 3885, 1012, 6676, 2038, 1037, 5697, 2733, 3805, 1997, 2032, 1011, 2002, 2097, 2031, 2000, 3711, 1999, 2457, 4826, 2000, 3066, 2007, 2010, 4397, 3734, 4319, 5571, 1998, 2006, 5958, 2153, 1999, 3577, 2005, 5571, 1997, 2882, 11933, 8285, 1012, 9432, 1010, 2254, 2324, 1010, 2289, 5206, 11112, 2401, 2623, 2012, 1037, 2739, 3034, 7483, 2008, 2002, 2052, 2022, 4192, 2000, 2010, 2188, 2110, 1997, 2047, 3290, 2005, 2028, 2197, 2345, 2954, 1529, 1996, 2280, 2274, 1011, 2051, 3410, 1999, 2093, 2367, 3635, 4280, 2097, 2022, 5307, 6335, 13820, 15090, 2006, 2337, 3822, 1999, 2054, 2097, 2022, 2010, 2197, 2954, 2004, 2002, 2003, 9150, 2044, 1996, 2954, 1012, 1523, 1045, 11302, 2017, 1010, 2023, 2097, 2022, 2026, 2197, 2954, 1012, 2009, 1521, 1055, 2051, 2005, 2033, 2000, 6865, 2039, 1996, 11875, 1010, 2021, 1045, 2215, 2000, 2175, 2041, 2007, 1037, 2663, 1998, 2000, 2022, 2006, 2327, 1010, 1524, 2056, 11112, 2401, 1010, 2040, 2180, 4486, 2012, 3502, 7221, 15464, 11179, 1010, 7221, 15464, 11179, 1998, 27145, 1012, 1523, 1045, 2097, 2507, 2026, 9627, 2028, 2197, 2954, 1012, 1045, 2428, 2215, 2000, 2041, 8758, 6335, 13820, 1010, 2021, 2017, 2113, 2320, 2002, 4978, 2033, 1010, 1998, 1045, 5510, 2668, 1010, 2009, 1521, 1055, 2006, 1012, 2009, 1521, 1055, 2051, 2005, 2033, 2000, 3413, 1996, 12723, 2000, 1996, 3920, 4364, 1998, 2507, 2068, 1996, 4495, 1012, 1524, 2130, 2295, 2002, 2003, 9150, 1010, 11112, 2401, 3488, 2000, 2994, 2920, 1999, 8362, 2004, 1037, 10365, 1012, 2002, 2097, 2022, 2731, 2010, 2365, 1010, 5206, 11112, 2401, 3781, 1012, 2926, 1012, 2010, 2365, 2003, 2275, 2000, 2191, 2010, 5515, 2834, 2070, 2051, 2279, 3204, 1529, 2002, 2001, 2141, 12005, 11411, 21594, 2015, 18318, 2389, 5092, 2006, 2254, 1020, 1010, 4976, 1999, 25498, 1010, 15278, 1010, 7394, 1012, 2002, 3390, 2010, 2658, 8362, 2476, 1999, 4764, 1998, 2052, 5589, 1999, 2058, 5018, 23666, 1999, 1037, 2476, 2008, 3092, 1999, 4260, 1012, 2002, 2001, 9919, 1996, 1523, 9642, 14753, 14753, 1524, 1998, 2076, 1996, 4479, 1521, 1055, 2002, 2001, 2028, 1997, 1996, 2190, 5059, 5329, 1999, 2047, 2259, 1012, 2010, 5956, 2100, 6180, 1998, 2130, 5956, 3771, 2806, 1999, 1996, 3614, 2081, 2032, 1037, 2613, 4306, 3531, 2099, 1012, 2044, 14513, 2075, 2039, 1037, 2186, 1997, 9248, 1999, 2010, 3128, 7394, 1010, 1523, 1996, 4845, 1524, 10836, 1996, 2149, 1999, 4662, 10591, 2041, 5752, 4372, 2891, 1999, 2093, 6241, 1999, 3067, 6030, 1010, 1050, 1012, 1061, 1012, 2002, 2052, 2175, 2006, 2000, 2954, 2012, 2035, 1996, 2759, 2047, 2259, 7516, 2066, 5526, 3702, 7676, 1998, 1996, 2358, 1012, 9473, 5196, 1012, 9857, 1010, 2254, 2385, 1010, 2289, 1996, 3624, 1521, 1055, 18379, 2116, 2307, 7299, 1012, 5980, 6816, 1010, 4560, 13101, 1010, 17127, 14135, 1010, 6446, 8473, 3089, 25698, 2480, 1998, 5828, 19439, 2074, 2000, 2171, 1037, 2261, 1012, 2028, 1997, 1996, 2190, 1997, 2023, 3690, 2001, 1037, 1019, 1521, 1017, 1524, 2148, 4502, 2860, 2013, 3290, 2103, 2315, 6320, 2063, 16183, 4305, 10755, 1012, 2002, 5451, 1996, 27145, 2407, 2005, 2093, 2086, 1998, 2059, 3394, 1012, 2002, 2787, 2000, 2272, 2067, 1998, 2048, 1998, 1037, 2431, 2086, 2044, 2002, 2435, 2039, 2010, 4410, 1010, 2002, 2128, 1011, 3555, 2009, 1012, 2023, 8362, 5722, 2001, 2141, 2006, 2233, 1019, 1010, 3826, 1012, 2002, 2318, 2010, 2658, 2476, 1999, 3777, 1998, 2855, 3662, 2008, 2002, 2001, 1037, 13007, 4667, 2732, 1012, 16183, 4305, 10755, 2180, 2010, 2034, 7032, 9590, 1998, 3195, 7093, 11369, 2015, 1012, 2002, 4265, 2010, 2034, 3279, 1999, 2285, 1997, 3705, 2043, 2002, 2001, 14209, 1999, 1037, 10094, 2114, 3336, 6446, 1012, 1996, 2095, 3699, 2387, 16183, 4305, 10755, 2191, 2307, 22215, 1999, 1996, 10385, 1012, 2002, 12705, 1996, 9768, 14304, 13835, 1999, 2274, 6241, 1012, 2002, 24896, 2094, 2010, 3279, 2011, 7458, 3336, 6446, 1999, 2809, 6241, 1012, 2045, 2001, 2036, 2019, 8052, 2028, 2461, 2663, 2058, 3449, 6977, 10568, 1012, 2006, 2337, 1022, 1010, 3546, 16183, 4305, 10755, 4110, 1996, 4916, 27145, 2516, 2011, 10591, 2041, 5348, 8223, 11124, 2480, 1999, 2048, 6241, 1012, 2002, 8047, 1996, 2516, 2007, 1037, 4376, 2461, 2685, 2663, 2058, 7823, 14846, 1523, 21348, 2080, 1524, 16938, 1012, 2059, 2006, 2238, 3083, 6320, 2063, 2180, 1037, 2200, 2590, 10094, 2114, 2925, 12038, 3410, 2003, 2863, 2884, 18169, 1012, 16183, 4305, 10755, 21100, 17345, 2094, 1996, 12266, 18169, 1999, 2702, 6241, 1012, 5958, 1010, 2254, 2260, 1010, 2289, 2092, 2096, 1045, 2001, 2908, 1010, 2327, 4635, 1998, 3585, 2879, 4593, 12923, 1996, 4485, 2041, 1997, 2169, 2060, 1529, 3087, 2215, 2019, 10651, 1029, 2092, 2130, 2295, 2045, 2003, 1037, 9870, 2747, 2090, 1996, 2048, 3903, 1010, 2027, 2145, 2699, 2000, 2272, 2000, 2070, 2785, 1997, 3820, 2000, 2031, 8879, 4980, 23189, 2527, 1998, 16320, 14397, 15549, 7113, 1012, 2008, 2134, 1521, 1056, 2147, 2041, 1012, 7483, 3585, 2879, 15365, 5766, 2957, 8040, 25293, 7512, 2623, 2008, 2027, 2031, 2272, 2000, 3408, 2006, 1037, 2954, 2090, 23189, 2527, 1998, 5348, 7762, 27320, 2008, 2097, 2202, 2173, 2006, 2233, 5550, 2012, 1996, 15418, 2882, 1999, 5869, 7136, 1012, 2061, 2054, 2055, 14397, 1011, 2158, 1029, 1996, 25610, 2278, 2003, 5517, 2008, 14397, 15549, 7113, 2087, 3497, 2097, 2202, 2006, 9743, 9610, 1010, 2040, 2003, 3048, 2039, 2013, 27145, 2000, 3565, 27145, 1010, 1999, 16878, 2006, 2258, 15538, 1012, 1996, 25610, 2278, 2038, 2036, 2787, 2025, 2000, 2131, 1999, 1996, 2690, 1997, 2477, 2090, 2327, 4635, 1998, 3585, 2879, 2144, 2027, 2071, 2448, 2046, 15382, 3471, 1012, 1996, 10908, 2044, 1996, 2048, 2954, 2003, 2008, 7566, 2097, 2707, 2039, 2153, 7161, 2000, 3940, 14397, 15549, 7113, 1998, 23189, 2527, 2362, 2153, 1012, 25610, 2278, 2343, 4560, 21396, 4886, 2386, 7807, 2009, 2091, 2005, 2149, 1024, 21396, 4886, 2386, 2056, 2002, 2097, 3499, 1523, 2119, 7299, 2000, 2031, 1996, 4495, 2000, 2031, 2028, 2954, 1012, 1524, 2002, 2056, 2008, 2320, 2216, 9590, 2024, 2589, 1996, 25610, 2278, 2097, 1523, 3202, 10838, 2007, 2489, 7776, 1010, 8722, 4107, 1998, 2035, 1997, 2008, 1524, 4292, 1037, 2093, 1011, 2733, 15117, 2005, 1037, 8722, 3749, 2323, 7776, 2991, 2083, 2130, 1999, 1996, 12930, 1997, 1996, 3423, 2645, 2090, 27481, 2075, 26512, 3585, 2879, 1998, 2327, 4635, 1012, 21396, 4886, 2386, 2036, 2794, 2008, 1996, 7299, 2024, 2776, 2183, 2000, 2031, 2000, 2954, 2030, 2842, 2045, 2097, 2022, 8465, 1012, 2054, 2785, 1997, 8465, 1029, 2065, 23189, 2527, 2003, 13846, 2058, 27320, 1998, 7288, 2008, 2002, 2053, 2936, 4122, 2000, 2954, 14397, 15549, 7113, 1010, 2002, 2097, 2022, 10040, 1997, 2010, 2516, 1012, 2065, 14397, 15549, 7113, 2053, 2936, 4122, 2000, 2954, 23189, 2527, 1010, 2002, 2097, 2053, 2936, 2022, 1996, 10915, 12932, 2005, 23189, 2527, 1521, 1055, 5583, 1012, 1045, 1521, 1049, 5580, 2000, 2156, 1996, 25610, 2278, 2635, 2895, 1998, 2437, 2477, 1037, 2978, 24509, 2426, 2035, 1997, 2023, 6752, 1012, 11504, 2477, 2064, 2022, 3876, 2855, 1999, 2457, 2090, 2139, 2474, 7570, 3148, 1998, 12098, 2819, 1521, 1055, 7694, 9219, 1529, 9317, 1010, 2254, 2184, 1010, 2289, 2176, 10904, 1010, 10015, 16746, 2007, 1037, 4117, 2501, 1997, 5401, 1011, 1016, 1011, 1015, 2007, 4601, 12849, 1521, 1055, 1998, 1037, 5345, 3867, 3045, 7017, 2097, 2022, 2956, 2006, 2019, 6581, 1523, 26822, 8758, 1024, 1996, 2047, 4245, 1524, 3313, 4974, 2121, 2006, 5958, 1010, 5553, 1012, 2539, 1010, 2289, 1010, 2006, 23811, 1006, 2340, 1052, 1012, 1049, 1012, 3802, 1013, 13866, 1010, 8394, 2006, 1996, 2225, 3023, 1007, 1012, 1999, 1996, 2260, 1011, 2461, 2364, 2724, 1010, 15188, 1010, 2603, 1011, 2095, 1011, 2214, 1010, 2524, 1011, 7294, 2148, 4502, 2860, 3502, 27145, 5348, 7762, 8685, 1006, 2403, 1011, 1014, 1010, 2260, 12849, 2015, 1007, 1997, 6187, 19696, 2015, 1010, 5984, 7043, 1010, 4152, 2054, 2071, 2022, 1996, 7823, 4355, 3231, 1997, 2010, 2476, 2043, 2002, 5344, 2320, 1011, 7854, 1010, 2570, 1011, 2095, 1011, 2214, 12731, 4887, 11039, 6633, 10085, 20556, 1006, 2321, 1011, 1015, 1011, 1015, 1010, 2184, 12849, 2015, 1007, 1997, 19334, 1010, 1050, 1012, 1049, 1012, 1010, 2011, 2126, 1997, 3290, 2103, 1012, 1999, 1996, 2184, 1011, 2461, 2522, 1011, 3444, 1010, 2320, 1011, 7854, 1010, 2539, 1011, 2095, 1011, 2214, 2187, 1011, 2192, 2121, 5125, 19439, 1006, 2385, 1011, 1015, 1010, 2340, 12849, 2015, 1007, 1997, 23060, 16564, 1010, 10250, 10128, 1012, 1010, 2097, 2022, 4941, 2011, 15188, 2538, 1011, 2095, 1011, 2214, 13748, 11601, 7103, 3781, 1012, 1006, 2260, 1011, 1014, 1010, 1022, 12849, 2015, 1007, 1997, 2474, 19792, 2696, 1010, 8902, 2080, 1012, 1010, 1999, 1037, 3565, 12038, 8087, 1012, 3960, 12098, 2819, 1521, 1055, 2327, 4635, 4297, 1010, 2097, 5326, 1996, 5519, 24457, 2012, 1996, 11898, 4258, 1999, 6708, 1010, 5334, 1012, 5958, 1010, 2285, 5511, 1010, 2294, 8362, 15543, 3581, 6031, 2038, 3333, 11587, 2280, 25610, 2080, 27145, 3410, 3660, 6676, 2004, 2010, 7396, 2028, 2154, 2044, 6676, 3478, 2000, 2191, 3635, 2005, 2010, 5095, 2305, 2954, 2114, 20158, 5660, 1998, 2001, 3140, 2000, 12436, 16280, 2010, 2516, 1012, 1523, 3660, 6676, 2003, 2908, 2004, 2521, 2004, 1045, 2572, 4986, 1010, 1524, 6031, 2056, 9432, 1012, 1523, 2017, 3685, 3066, 2007, 2477, 2043, 2111, 2024, 2025, 4129, 2017, 1996, 3606, 1998, 2017, 2024, 2025, 2893, 1996, 2592, 1012, 1045, 2018, 2053, 3716, 2012, 2035, 2008, 3660, 2001, 4815, 2041, 1997, 1996, 2954, 1998, 2009, 2003, 2035, 3492, 21794, 1012, 1524, 6031, 2003, 2747, 2559, 2005, 2019, 4522, 7116, 2005, 5660, 1999, 1996, 2364, 2724, 1012, 2005, 2085, 1010, 2002, 2038, 2081, 1996, 21307, 2546, 18725, 2422, 1011, 20882, 2516, 10094, 2090, 18904, 4967, 1998, 10958, 5428, 2094, 2852, 4014, 13471, 2063, 1996, 2522, 1011, 2364, 2724, 1012, 9432, 1010, 2285, 5718, 1010, 2294, 3660, 6676, 2766, 2041, 1997, 2010, 5115, 5095, 2305, 10094, 5443, 20158, 5660, 1999, 2414, 7483, 2044, 2002, 2001, 4039, 2000, 2131, 2104, 1996, 14506, 6053, 5787, 2005, 1996, 3653, 1011, 2954, 17042, 1011, 16021, 1012, 6676, 2038, 2036, 15348, 2010, 25610, 2080, 27145, 2528, 1010, 1037, 2516, 2008, 2002, 2038, 2218, 2005, 1996, 2627, 2176, 2086, 1012, 2096, 3581, 6031, 2097, 14970, 1037, 2047, 2364, 2724, 2012, 2070, 2391, 2651, 1010, 2009, 2003, 10599, 3251, 2030, 2025, 5660, 2097, 2022, 2443, 2006, 1996, 4003, 1529, 9317, 1010, 2285, 5757, 1010, 2294, 1996, 7756, 2110, 5188, 3222, 2074, 2165, 2041, 2048, 5055, 2007, 2028, 2962, 1999, 2178, 2553, 2073, 7917, 13978, 2024, 2145, 2108, 2109, 1529, 25610, 2278, 2422, 1011, 4875, 11179, 3410, 13192, 20801, 2001, 6731, 7483, 2044, 5604, 3893, 2005, 2777, 3511, 8458, 12928, 11233, 2157, 2044, 2010, 10094, 2114, 4422, 6819, 10626, 2401, 2197, 3204, 1012, 20801, 2097, 2025, 2022, 7936, 2000, 2954, 2127, 2044, 1037, 4994, 3138, 2173, 1999, 2254, 1012, 20801, 2038, 6380, 2478, 1996, 4319, 2030, 2151, 7917, 13978, 2012, 2035, 1529, 21307, 2546, 27145, 3410, 10108, 16183, 13820, 2001, 2036, 6731, 7483, 2044, 2009, 2001, 2179, 2008, 2002, 7718, 3893, 2005, 1996, 7917, 26261, 22943, 16660, 22196, 27165, 3859, 2044, 3045, 1996, 5583, 2013, 2728, 16938, 1012, 2045, 2024, 2116, 2367, 2477, 2008, 2071, 4148, 2000, 2119, 7299, 2065, 2119, 2024, 2179, 5905, 1012, 2070, 1997, 1996, 8465, 2052, 2022, 5307, 2825, 8636, 1010, 2383, 2037, 8362, 6105, 22837, 1010, 2022, 16981, 1010, 2383, 2037, 2197, 9248, 17068, 1010, 1998, 3974, 2037, 18000, 1012, 5095, 1010, 2285, 6185, 1010, 2294, 4203, 1061, 2638, 2480, 1010, 10250, 10128, 1012, 1516, 2348, 7986, 8728, 16889, 2015, 2013, 5984, 7043, 1010, 1996, 3585, 2110, 1998, 1523, 26822, 8758, 1524, 2024, 3435, 3352, 1996, 15188, 4959, 1521, 1055, 5014, 2185, 2013, 2188, 1012, 2005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8756, 2005, 2089, 1010, 2262, 2089, 2382, 1010, 2262, 2017, 2089, 2031, 2657, 2055, 1037, 2350, 9131, 1997, 1037, 2149, 1011, 7609, 9935, 1999, 1996, 2627, 2733, 1012, 2057, 1521, 1040, 2066, 2000, 5247, 2023, 9927, 9990, 2054, 3303, 1996, 9131, 1010, 1998, 2054, 3632, 2046, 1037, 2445, 9935, 9131, 1012, 2023, 2028, 1999, 3327, 5936, 1996, 17714, 1011, 2550, 14007, 23277, 5654, 3917, 1012, 17714, 2003, 21195, 5560, 6584, 1010, 2199, 14007, 23277, 5654, 12910, 1999, 1996, 2142, 2163, 1998, 6974, 2138, 1997, 1037, 3891, 1997, 8769, 1012, 1996, 9131, 2038, 2069, 2042, 3843, 1999, 7189, 2000, 23277, 5654, 12910, 2013, 1996, 2944, 2095, 2230, 2008, 2031, 6882, 21670, 1998, 2020, 3833, 3188, 2000, 2251, 6400, 1997, 2230, 1012, 1996, 2120, 3307, 4026, 3808, 3447, 1006, 18699, 27110, 1007, 3024, 1996, 2592, 2006, 1996, 9131, 1012, 2429, 2000, 5491, 3024, 2011, 1996, 18699, 27110, 1010, 2009, 2003, 2825, 2005, 11385, 2000, 2131, 7567, 1999, 2090, 1037, 5127, 2008, 4240, 2004, 1037, 6726, 16167, 1998, 1996, 26244, 10463, 2121, 1517, 1996, 2765, 2064, 3426, 1037, 2543, 1012, 1996, 26244, 10463, 2121, 3594, 1037, 2307, 3066, 1997, 3684, 1517, 2007, 9062, 11970, 1517, 2000, 2491, 1996, 3815, 1997, 10796, 2550, 2011, 1996, 2482, 1012, 17714, 2056, 2008, 11385, 2064, 2131, 7567, 2043, 1996, 14007, 23277, 5654, 3917, 2003, 5533, 2125, 1011, 2346, 1012, 2012, 2560, 2403, 10821, 1997, 8769, 2007, 1996, 2230, 23277, 5654, 12910, 2024, 4484, 1012, 2012, 2023, 2051, 1010, 17714, 3475, 1521, 1056, 2469, 3251, 2030, 2025, 1996, 8769, 3303, 6441, 1010, 2021, 2045, 2003, 5525, 2467, 1996, 3891, 2008, 2619, 2064, 2131, 5229, 2065, 1037, 2482, 4627, 1037, 2543, 1012, 17714, 2097, 8081, 1996, 3291, 2005, 2489, 2011, 6419, 1996, 6726, 1011, 8650, 5127, 2007, 1037, 3347, 2061, 2008, 11385, 2064, 1521, 1056, 2131, 3236, 1012, 17722, 2064, 2022, 3641, 2593, 2011, 1996, 2981, 7751, 2030, 2011, 1996, 18699, 27110, 1517, 1999, 2593, 2553, 1010, 1996, 18699, 27110, 22558, 1996, 9131, 2832, 2000, 5676, 2008, 10390, 2024, 2579, 2729, 1997, 1998, 2008, 1996, 7751, 1997, 1996, 7383, 9935, 7919, 2128, 7583, 3111, 1996, 3291, 1012, 1996, 2194, 2008, 2003, 3625, 2005, 1996, 5814, 1997, 1996, 4316, 1999, 3160, 2003, 3223, 2000, 3277, 1037, 2270, 3189, 2029, 22106, 1996, 3808, 1011, 3141, 21262, 1010, 1996, 4316, 1999, 3160, 1013, 3941, 2177, 1010, 1996, 2350, 10444, 2008, 2419, 2000, 1996, 9131, 9128, 1010, 1037, 6412, 1997, 1996, 5576, 1010, 1998, 1037, 6134, 2005, 1996, 9131, 1012, 1996, 7751, 2003, 2036, 3223, 2000, 3535, 2000, 2025, 8757, 5608, 1997, 1996, 9935, 2108, 7383, 1012, 1996, 3661, 2741, 2000, 1996, 5608, 2442, 5383, 1996, 2206, 2592, 1024, 6412, 1997, 1996, 21262, 1010, 1996, 3891, 2030, 15559, 13686, 2011, 1996, 3291, 1010, 1998, 1037, 6412, 1997, 1996, 2489, 19519, 1012, 2130, 2065, 2017, 2079, 2025, 4374, 1037, 26828, 2013, 1996, 7751, 1010, 1998, 2017, 2024, 2019, 3954, 1997, 1996, 5360, 4316, 1010, 2017, 2024, 12590, 4709, 2000, 1037, 2489, 19519, 1997, 1996, 3277, 1012, 1996, 2069, 2051, 3277, 7175, 17722, 2003, 3141, 2000, 13310, 1012, 2065, 2045, 2003, 1037, 9131, 2008, 5936, 1996, 13310, 1997, 1996, 4316, 1010, 2429, 2000, 1996, 1057, 1012, 1055, 1012, 3808, 2552, 1010, 1996, 3954, 2442, 2031, 1996, 9131, 2147, 2949, 2306, 3438, 2420, 1997, 4909, 1996, 26828, 1517, 2035, 2060, 9131, 3314, 2089, 2022, 2128, 7583, 6340, 1998, 3139, 2005, 1996, 6480, 1997, 1996, 4031, 1012, 2065, 2017, 2031, 2151, 3980, 1010, 2045, 2024, 6998, 2800, 2000, 2017, 1012, 2017, 2064, 3967, 1996, 18699, 27110, 3495, 2005, 2592, 2006, 2054, 2017, 2024, 4709, 2000, 5987, 1012, 2065, 2017, 2903, 2017, 2089, 2031, 2042, 5229, 2004, 1037, 2765, 1997, 1037, 4316, 21262, 1010, 3531, 3967, 2028, 1997, 1996, 16214, 2012, 1996, 2375, 4822, 1997, 12098, 2239, 4059, 1004, 12098, 2239, 4059, 2011, 4214, 2149, 2012, 5179, 2487, 1011, 25162, 1011, 6205, 2683, 2487, 2030, 10373, 2075, 2149, 2012, 10373, 1030, 2742, 1012, 4012, 1012, 2089, 2756, 1010, 2262, 2011, 2183, 2000, 2457, 2000, 6148, 3425, 1999, 2151, 3167, 4544, 2553, 1010, 1996, 7848, 2003, 2000, 4374, 1037, 11119, 3361, 4093, 2030, 6467, 2400, 1012, 2122, 7617, 2024, 2411, 2335, 2787, 2011, 1037, 6467, 2030, 3648, 1998, 22149, 2094, 2011, 1996, 12711, 2375, 1012, 2174, 1010, 2045, 2003, 2242, 2842, 2008, 2038, 2350, 3747, 1999, 12515, 3251, 3361, 9430, 2003, 10943, 2098, 1025, 2023, 2003, 2124, 2004, 20056, 1012, 3423, 20056, 2064, 2022, 5319, 2004, 6383, 6567, 2008, 2031, 2042, 2081, 1999, 1037, 3188, 1010, 2714, 3663, 1012, 2005, 2742, 1010, 2065, 2017, 2024, 2920, 1999, 1037, 8552, 5043, 2008, 3092, 1999, 2115, 4544, 1010, 2017, 2064, 2298, 1999, 1996, 2627, 2000, 2156, 2065, 2045, 2031, 2042, 2714, 10444, 1517, 1998, 2156, 2054, 1996, 9560, 2001, 2000, 3046, 1998, 16014, 2054, 2115, 2765, 2071, 2022, 1012, 2138, 3423, 23359, 2003, 2107, 2019, 2590, 2112, 1997, 4824, 1996, 2898, 9531, 1997, 3167, 4544, 2375, 1010, 2009, 1521, 1055, 23934, 2000, 2994, 2039, 1011, 2000, 1011, 3058, 2007, 3423, 7617, 1999, 2752, 2008, 2453, 7461, 2017, 1012, 1999, 2023, 9927, 1010, 2057, 1521, 2222, 2298, 2012, 1037, 2261, 2553, 3463, 1998, 2028, 6013, 1997, 1037, 4397, 6406, 9870, 1012, 2057, 1521, 2222, 2707, 1999, 5284, 1010, 2073, 1037, 2403, 1011, 2095, 2214, 2611, 2001, 3018, 1002, 2260, 1012, 1019, 2454, 1999, 1996, 4093, 1997, 2014, 4424, 6101, 9870, 1012, 1996, 2611, 1521, 1055, 16214, 27481, 2098, 2008, 2096, 1996, 2403, 1011, 2095, 2214, 2001, 2108, 9687, 2011, 10771, 2013, 2028, 2902, 2000, 2178, 1010, 1998, 2096, 2016, 2001, 18019, 2000, 1037, 25061, 1010, 2016, 2001, 15504, 2011, 2028, 1997, 1996, 10771, 26727, 1006, 2040, 2001, 2036, 1037, 7979, 10768, 7811, 1007, 1012, 1996, 10768, 7811, 2776, 21362, 1996, 4126, 2000, 2010, 6020, 1010, 2295, 2009, 2234, 2041, 2076, 1996, 9870, 2008, 1996, 10771, 2194, 2354, 2055, 2010, 10768, 7811, 3570, 2043, 2027, 2020, 1999, 1996, 2832, 1997, 14763, 2032, 1012, 2002, 6051, 4735, 2135, 1998, 1996, 2194, 6051, 11265, 25394, 11461, 2135, 1999, 14763, 1037, 10768, 7811, 2000, 2202, 2729, 1997, 1996, 13346, 1012, 2279, 1010, 2057, 2693, 2000, 2662, 1010, 2073, 1002, 1020, 2454, 2001, 3018, 2000, 1037, 2450, 2040, 6854, 4265, 1037, 4167, 4544, 2044, 2016, 2001, 4930, 2011, 1037, 2482, 2096, 2016, 2001, 3788, 1999, 11932, 1012, 2016, 2001, 2074, 2423, 1011, 2086, 2214, 2043, 1996, 4316, 2718, 2014, 1012, 2016, 6406, 1996, 9870, 2114, 1996, 2103, 1010, 6815, 2008, 1996, 7774, 1999, 1996, 2346, 18234, 5013, 5130, 1521, 3977, 2000, 2156, 1996, 2892, 17122, 1012, 1996, 6467, 1999, 1996, 3979, 2787, 2008, 1996, 2103, 2001, 4868, 1003, 3625, 1012, 1996, 6467, 3018, 1996, 2450, 1002, 2324, 2454, 1010, 2295, 2138, 16214, 3130, 3530, 2014, 6441, 2106, 2025, 13467, 1002, 1020, 2454, 1010, 2016, 2097, 2022, 2893, 1002, 1020, 2454, 1012, 2005, 2256, 2197, 4093, 1010, 2057, 4875, 2058, 2000, 5374, 1010, 2073, 1037, 2155, 2001, 3018, 1002, 23612, 1010, 2199, 2005, 1996, 2331, 1997, 2037, 3899, 1012, 1996, 2155, 3899, 2001, 2915, 2011, 1037, 2610, 2961, 2043, 2002, 2001, 2012, 1996, 2155, 1521, 1055, 2188, 6575, 2005, 1996, 5608, 1521, 2365, 1012, 1996, 10232, 3350, 1999, 1996, 2553, 2001, 1996, 2610, 4316, 1521, 1055, 11454, 2678, 4950, 2008, 3236, 1996, 5008, 2006, 6823, 1012, 21328, 2011, 1996, 2678, 1010, 1996, 2961, 2915, 1996, 3899, 2004, 2009, 2001, 5391, 2075, 2648, 2000, 17021, 1996, 2961, 1012, 1996, 2961, 3555, 2008, 1996, 3899, 2001, 24324, 1999, 2010, 2610, 3450, 1010, 2021, 1996, 6467, 2134, 1521, 1056, 5993, 1998, 3018, 1996, 2155, 1002, 23612, 1010, 2199, 1999, 2054, 2038, 2042, 11180, 1037, 1523, 2942, 2916, 1524, 2553, 1012, 2085, 2057, 1521, 2128, 2183, 2000, 2298, 2012, 1037, 4397, 6406, 9870, 1012, 1999, 2047, 2259, 1010, 1037, 7325, 9861, 2465, 1011, 2895, 9870, 2038, 2042, 6406, 2114, 1996, 13764, 3840, 1010, 8712, 1997, 1037, 2898, 3528, 1997, 7815, 3688, 1012, 1996, 9870, 4447, 2008, 2348, 13764, 1521, 1055, 9053, 5821, 8008, 2425, 10390, 2008, 12699, 2037, 2398, 2007, 13764, 3688, 2003, 2062, 4621, 2084, 6414, 12699, 2007, 7815, 1998, 2300, 1010, 2045, 3475, 1521, 1056, 2438, 3350, 2000, 2490, 1996, 4366, 1012, 11504, 2085, 2017, 1521, 2128, 9789, 2094, 2046, 1996, 2783, 2183, 2015, 1011, 2006, 1997, 1996, 2088, 1997, 3167, 4544, 999, 2065, 2017, 2031, 2151, 3980, 8800, 2000, 2122, 2030, 2151, 2060, 3423, 3043, 1010, 3531, 3967, 1996, 2375, 4822, 1997, 12098, 2239, 4059, 1998, 12098, 2239, 4059, 2012, 5179, 2487, 1011, 25162, 1011, 6205, 2683, 2487, 2030, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 2089, 2484, 1010, 2262, 15681, 2854, 2003, 1037, 6530, 2773, 1012, 15681, 2854, 2003, 4225, 2004, 1996, 2895, 1997, 1523, 2005, 4726, 1524, 1516, 2030, 5155, 1516, 1037, 6100, 1997, 1037, 6254, 1010, 8085, 1010, 2924, 22074, 1010, 2030, 2147, 1997, 2396, 1012, 1996, 2773, 1523, 5155, 1524, 2064, 2022, 22369, 1012, 2619, 2064, 3965, 2037, 2219, 2147, 1010, 1998, 2947, 2009, 3475, 1521, 1056, 1037, 15681, 2854, 1010, 2004, 2566, 2691, 2375, 1012, 3383, 1996, 2773, 1523, 28024, 1524, 2003, 2488, 2000, 2224, 2084, 1523, 3965, 1524, 2043, 2667, 2000, 4824, 1523, 15681, 2854, 1012, 1524, 2087, 4141, 1010, 15681, 2854, 2003, 5319, 2004, 1996, 18102, 21647, 1997, 1037, 8085, 2006, 1037, 2924, 14148, 1010, 15046, 2000, 1037, 2160, 1010, 2516, 2000, 1037, 2482, 1010, 2457, 6254, 1010, 2449, 3206, 1010, 4385, 1012, 15681, 2854, 2003, 1037, 3809, 4126, 1998, 2064, 4287, 3809, 12408, 2065, 1996, 10768, 7811, 1006, 2748, 1010, 2008, 1521, 1055, 2157, 1010, 10768, 7811, 1007, 2003, 3236, 16873, 1996, 24648, 1997, 15681, 2854, 1012, 3516, 2110, 2375, 8117, 9623, 2053, 2616, 2043, 2396, 2594, 10924, 2054, 15681, 2854, 2003, 1998, 2129, 2009, 2003, 2000, 2022, 8971, 2011, 1996, 2146, 2849, 1997, 1996, 2375, 1012, 2429, 2000, 3127, 6640, 2487, 1012, 5890, 1997, 1996, 2087, 3522, 2275, 1997, 3516, 2110, 18574, 1010, 3087, 2040, 27791, 15681, 2854, 1010, 1045, 1012, 1041, 1012, 1010, 1523, 23123, 3084, 1010, 11477, 2015, 1010, 15681, 2015, 2030, 4675, 21156, 2015, 1010, 1524, 2151, 6254, 2007, 3423, 3061, 1010, 2030, 2040, 14395, 2015, 1010, 5235, 2030, 8616, 2015, 8275, 2924, 20564, 1010, 2003, 8558, 5905, 1997, 2383, 5462, 1037, 2353, 3014, 24648, 1012, 2122, 2353, 3014, 10768, 7811, 3111, 2024, 16385, 3085, 2011, 2039, 2000, 1019, 2086, 1999, 3827, 1998, 4287, 1037, 2986, 1997, 2039, 2000, 1002, 1019, 1010, 2199, 1012, 2065, 2017, 15681, 2242, 1010, 2017, 2024, 1037, 10768, 7811, 1012, 2022, 5204, 1010, 2295, 1010, 2008, 1996, 2682, 12408, 2069, 2031, 2000, 2079, 2007, 10258, 10050, 2850, 1012, 2065, 2017, 15681, 2619, 1521, 1055, 8085, 2006, 2242, 2066, 1037, 2924, 4638, 1010, 2449, 3206, 2030, 2482, 15046, 1010, 1998, 1996, 3538, 1997, 3259, 2008, 2017, 3696, 7930, 2041, 1997, 2110, 2030, 2003, 2920, 2007, 2449, 2408, 2110, 3210, 1010, 2017, 2024, 1999, 2005, 1037, 7438, 2124, 2004, 2976, 7750, 1012, 7297, 1010, 1996, 12408, 2005, 15681, 2854, 2024, 15445, 2006, 2129, 2172, 2769, 2001, 2000, 2022, 4227, 2083, 1996, 15681, 2854, 1012, 2005, 2742, 1010, 2065, 2017, 3696, 2115, 2171, 2006, 1037, 2767, 1521, 1055, 4638, 1998, 2191, 1996, 4638, 2041, 2000, 4426, 2005, 1002, 2322, 1010, 2115, 6531, 2180, 1521, 1056, 2022, 2004, 5729, 2004, 2065, 2017, 15681, 1037, 2449, 4256, 1521, 1055, 2171, 2006, 1037, 2449, 20877, 14643, 10253, 3602, 2008, 2052, 11302, 2017, 6095, 1997, 1037, 2454, 1011, 7922, 2924, 4070, 1999, 1037, 2367, 2110, 1012, 1999, 1996, 2117, 25652, 1010, 2017, 2052, 2022, 18476, 3550, 2062, 8949, 2138, 2017, 2052, 2022, 7161, 2000, 5114, 1002, 1015, 2454, 1006, 2004, 4941, 2000, 1002, 2322, 1007, 1012, 2036, 1010, 2138, 1996, 2924, 4070, 1999, 3160, 2003, 5068, 1999, 2178, 2110, 2084, 1996, 2028, 1996, 6254, 2001, 16158, 1999, 1010, 2017, 2052, 2022, 5153, 2110, 3210, 1010, 1998, 3081, 1996, 7553, 6236, 11075, 1997, 1996, 1057, 1012, 1055, 1012, 4552, 1010, 1996, 2976, 2231, 2052, 2031, 1996, 3754, 2000, 18476, 4697, 2017, 1006, 1999, 2804, 2000, 1996, 2110, 18476, 6026, 2017, 1007, 1012, 1999, 2804, 2000, 1996, 21892, 1998, 12408, 3378, 2007, 15681, 2854, 1010, 1996, 5905, 2283, 2003, 4050, 3517, 2000, 24565, 1996, 6778, 1996, 3815, 1997, 2769, 2008, 1996, 6778, 2439, 2004, 1037, 2765, 1997, 1996, 15681, 2854, 1012, 2065, 1996, 5905, 2283, 2515, 2025, 2031, 1996, 2800, 5029, 2006, 2192, 1010, 2411, 2335, 2037, 3200, 2097, 2022, 8243, 1998, 2853, 2000, 24565, 1996, 7376, 2769, 1012, 2023, 2832, 1997, 24565, 2075, 1996, 6778, 2037, 2439, 2769, 2003, 2124, 2004, 2717, 4183, 13700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4067, 2017, 2005, 2437, 2115, 12382, 5592, 1012, 2115, 13445, 2097, 2393, 2981, 25696, 8083, 7818, 2408, 1996, 7595, 1012, 1037, 3232, 1997, 3134, 3283, 1010, 6116, 3702, 2118, 2988, 2008, 2028, 1997, 2049, 2493, 1010, 9851, 26551, 1010, 2018, 2042, 3479, 2000, 5463, 1996, 8112, 17331, 2004, 1037, 2118, 4883, 7725, 6288, 1012, 2023, 2003, 2014, 2466, 1012, 10166, 999, 2008, 1521, 1055, 1996, 2069, 2773, 1045, 2064, 2228, 1997, 2000, 6235, 2023, 6429, 3325, 1012, 1045, 2001, 10190, 2000, 2022, 1037, 2118, 4883, 7725, 6288, 2005, 2023, 2268, 17331, 1012, 1996, 2565, 2001, 9788, 1998, 6354, 2274, 2420, 1012, 2274, 4595, 2118, 2493, 2020, 4217, 2000, 5589, 1999, 2023, 2882, 6686, 2013, 2035, 2058, 1996, 2088, 1012, 1996, 2034, 2305, 1997, 1996, 2565, 1010, 1996, 7725, 5784, 2288, 1996, 4495, 2000, 3113, 1998, 17021, 1012, 2045, 2020, 2061, 2116, 2367, 2111, 1998, 3032, 3421, 1012, 5355, 18072, 8743, 1010, 1996, 2397, 5199, 18072, 8743, 1521, 1055, 2365, 1998, 2522, 1011, 3677, 1997, 1996, 2265, 1523, 3438, 1013, 2322, 2998, 1524, 1010, 3764, 2006, 1996, 2373, 1997, 3360, 1012, 2035, 1997, 1996, 7725, 5784, 2020, 6368, 2012, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 9275, 1012, 1045, 4370, 1999, 1996, 18168, 3490, 5370, 3511, 3309, 1010, 2029, 2001, 13352, 2140, 1012, 2006, 1996, 2117, 2154, 1997, 1996, 2565, 1010, 2057, 2020, 6368, 2012, 1996, 2118, 1997, 5374, 2073, 2236, 6972, 8997, 3764, 1012, 2010, 21279, 1010, 2664, 2091, 1011, 2000, 1011, 3011, 3739, 7135, 2033, 1012, 2002, 11188, 1996, 4306, 1998, 2211, 1037, 2200, 4114, 1998, 5875, 4613, 1012, 2236, 8997, 3764, 2006, 4105, 1998, 1996, 6309, 2000, 2108, 2019, 4621, 3003, 1012, 2002, 3855, 2008, 2204, 4177, 10295, 2195, 11647, 1012, 2027, 2031, 4432, 1010, 2029, 2027, 17637, 2046, 3289, 1012, 2027, 10939, 3209, 2011, 9854, 2037, 20828, 1998, 21775, 1010, 2004, 2092, 2004, 2216, 1997, 2037, 7892, 1012, 2027, 10939, 2037, 2749, 1010, 5382, 2008, 2027, 2442, 2823, 2191, 3697, 6567, 1998, 2008, 4945, 2003, 15596, 1010, 2021, 1037, 4083, 3325, 1012, 2002, 4208, 2006, 2028, 7814, 1997, 4105, 1517, 4621, 4177, 3305, 2008, 4105, 2003, 2055, 8771, 1012, 2044, 1996, 8835, 1010, 2057, 2253, 2000, 1996, 26490, 4829, 2386, 2380, 3309, 2005, 8921, 1012, 1045, 3230, 1996, 2811, 5997, 2073, 2057, 2288, 2000, 3198, 1037, 5997, 1997, 8845, 2013, 1996, 6396, 2335, 1010, 6788, 1010, 5925, 1010, 1998, 13229, 3980, 1012, 2023, 2001, 2200, 12367, 8082, 1010, 2021, 1045, 4299, 2009, 2001, 2936, 1012, 1045, 2101, 2253, 2000, 1037, 8312, 2011, 2508, 2482, 3077, 1006, 3537, 2358, 11657, 24063, 1013, 13229, 1007, 1998, 2010, 2564, 2984, 22640, 4115, 1006, 3951, 2358, 11657, 24063, 1013, 2280, 4883, 11747, 1007, 1012, 2023, 8835, 2001, 5875, 1998, 3561, 2007, 2116, 14379, 2006, 3314, 2066, 7521, 1010, 7773, 1010, 1998, 3360, 2451, 6624, 1012, 2044, 1996, 17653, 2099, 1010, 1996, 7725, 5784, 3753, 2646, 1996, 7725, 7401, 2006, 1996, 2120, 6670, 1012, 2045, 2020, 2019, 4358, 1015, 1012, 1018, 2454, 2111, 1999, 5270, 1012, 2009, 2001, 2061, 10789, 2008, 2111, 4508, 2362, 2013, 1996, 5367, 3986, 2627, 1996, 9185, 4770, 1010, 1996, 8003, 1521, 1055, 3986, 1010, 2035, 1996, 2126, 2000, 1996, 9424, 2311, 1012, 2076, 1996, 7725, 7401, 1010, 2057, 5632, 4616, 2011, 2198, 5722, 1010, 5503, 26002, 1010, 20773, 1010, 23343, 1010, 17458, 4687, 1010, 21523, 8379, 1010, 20774, 1010, 1998, 2500, 1012, 2006, 6928, 1010, 2057, 2020, 2569, 6368, 2012, 1037, 8312, 2011, 2632, 13638, 2012, 1996, 2118, 1997, 5374, 1012, 1045, 2428, 2245, 2002, 2052, 2022, 10551, 1010, 2021, 2002, 2001, 5875, 1998, 2440, 1997, 8562, 1012, 2002, 3764, 2006, 3795, 12959, 1010, 4331, 1010, 1998, 2129, 2057, 2064, 13567, 4254, 1996, 4044, 1012, 2044, 2632, 13638, 1521, 1055, 4613, 1010, 2057, 2253, 2000, 2048, 2062, 18216, 1997, 2256, 3601, 1012, 1045, 2253, 2000, 1037, 8312, 2011, 6285, 2835, 2239, 1006, 6605, 4256, 1013, 2264, 17984, 9942, 1007, 1998, 4532, 13672, 1006, 2472, 1997, 5656, 2005, 19186, 1521, 1055, 3049, 1007, 2041, 1997, 10628, 1012, 2037, 18216, 2020, 12367, 8082, 1012, 2028, 1997, 1996, 2087, 5875, 18216, 2005, 2033, 2001, 2008, 1997, 2728, 16300, 4801, 1006, 15885, 1007, 1010, 1996, 2280, 1057, 1012, 1055, 1012, 4802, 17656, 1012, 2010, 8312, 2001, 2006, 1996, 2373, 1998, 7784, 1997, 2969, 1011, 3670, 1999, 1037, 7072, 1012, 1045, 2001, 2583, 2000, 3713, 2007, 2032, 1998, 2131, 2019, 8285, 14413, 1998, 3861, 1012, 17331, 2154, 2001, 12656, 1012, 1045, 2097, 2467, 24188, 4509, 1996, 5758, 1997, 2008, 2154, 1012, 2025, 2069, 2001, 1045, 2583, 2000, 7409, 1996, 17331, 1997, 1996, 26409, 2343, 1997, 1996, 2142, 2163, 1997, 2637, 1010, 2021, 1045, 2001, 2583, 2000, 3325, 1998, 5589, 1999, 1996, 5346, 1997, 27451, 1998, 18414, 14454, 3370, 1012, 1996, 12783, 2020, 14925, 16677, 1012, 2045, 2001, 2943, 1999, 1996, 2250, 1998, 1037, 3168, 1997, 2137, 6620, 2008, 2001, 6387, 1998, 4895, 9581, 20876, 3468, 1012, 2006, 17331, 2154, 1010, 1045, 2288, 2039, 2012, 1015, 1037, 1012, 1049, 1012, 1998, 3753, 2005, 1996, 6005, 2276, 2007, 2070, 2814, 1012, 2004, 1045, 2768, 1999, 1996, 8618, 3147, 2426, 1996, 14925, 16677, 12783, 1010, 2026, 4301, 6760, 2000, 1996, 7784, 1997, 2008, 6569, 3560, 6686, 1012, 2025, 2069, 2001, 2023, 6686, 3278, 2000, 2033, 2138, 1045, 2572, 3060, 2137, 1010, 2021, 2009, 3696, 7810, 1037, 2689, 1999, 2137, 4331, 1998, 1996, 2126, 1997, 3241, 1010, 2004, 2092, 2004, 1996, 2535, 1997, 3360, 2004, 8995, 3787, 1997, 2689, 1012, 2045, 2020, 2061, 2116, 2111, 2008, 2130, 2295, 2057, 3369, 2220, 1010, 2057, 2020, 2069, 2583, 2000, 3422, 1996, 21206, 2006, 1037, 18414, 13344, 15312, 1012, 2130, 2295, 1996, 4306, 2001, 4508, 2362, 1010, 2111, 4694, 1521, 1056, 4986, 2007, 1996, 2116, 5966, 2057, 2018, 2107, 2004, 10662, 1010, 2679, 1010, 4676, 1010, 2030, 2576, 5328, 1012, 2057, 2020, 5621, 2028, 1012, 2004, 1996, 21206, 8979, 1010, 1996, 4306, 3445, 2007, 2943, 1998, 27838, 2389, 1010, 2926, 2043, 2343, 8112, 3764, 1012, 2043, 1996, 21206, 2018, 8420, 1010, 1996, 2168, 8251, 2071, 2022, 2371, 2004, 3071, 2081, 2037, 2126, 2067, 1012, 1045, 20071, 2018, 2051, 2000, 2717, 2138, 1996, 2304, 1011, 5495, 16122, 2001, 2847, 2185, 1012, 2026, 18328, 1998, 1045, 2855, 20931, 21949, 1996, 28249, 1998, 2893, 3201, 1012, 2633, 1010, 2057, 2288, 2046, 1996, 3902, 1998, 3753, 2875, 1996, 7632, 2869, 23644, 9691, 2688, 1998, 6743, 3871, 1998, 1996, 15720, 2120, 2250, 1998, 2686, 2688, 1012, 4026, 2001, 2061, 3082, 2008, 1010, 2348, 2057, 2187, 1996, 3309, 2012, 1020, 1024, 2382, 1052, 1012, 1049, 1012, 1010, 2057, 2134, 1521, 1056, 7180, 2127, 1023, 1024, 4002, 1052, 1012, 1049, 1012, 2087, 1997, 1996, 4925, 2020, 8534, 1010, 1998, 1996, 2561, 2103, 2001, 19633, 2021, 10990, 1012, 2026, 2814, 1998, 1045, 2787, 2000, 2175, 2000, 1996, 7632, 2869, 23644, 9691, 2034, 1012, 2045, 2001, 2189, 1010, 2833, 1010, 1998, 3376, 10061, 8266, 1012, 1996, 3944, 2001, 12656, 1012, 2044, 5938, 2070, 2051, 1999, 1996, 7632, 2869, 23644, 9691, 1010, 2057, 2253, 2000, 1996, 15720, 2073, 2045, 2001, 1037, 2444, 2316, 1010, 24042, 1010, 3987, 3941, 1010, 1998, 8266, 1012, 1045, 5632, 2023, 3325, 1998, 2052, 2025, 3119, 2009, 2005, 2505, 1012, 1996, 28956, 1045, 2081, 2020, 3976, 3238, 1012, 2004, 1045, 8339, 2067, 2006, 2026, 3325, 1999, 2899, 1040, 1012, 1039, 1012, 1010, 1996, 2616, 1997, 2343, 8112, 3614, 1999, 2026, 4540, 1012, 1523, 2009, 1521, 1055, 2025, 1037, 4314, 2637, 2030, 4603, 2637, 1010, 2021, 2009, 1521, 1055, 1996, 2142, 2163, 1997, 2637, 1012, 1524, 5621, 1010, 1045, 2572, 7098, 2000, 2022, 2112, 1997, 2023, 2307, 2406, 1012, 1045, 3246, 2008, 1996, 2047, 3447, 1010, 2247, 2007, 2149, 1517, 1996, 2111, 1997, 2023, 2307, 3842, 1517, 2097, 2147, 2524, 2000, 9239, 2637, 1012, 2004, 1037, 2402, 4639, 1010, 1045, 19076, 2000, 2022, 1037, 2112, 1997, 2023, 6418, 2832, 1012, 1999, 1996, 2616, 1997, 1046, 1012, 1042, 1012, 5817, 1010, 1523, 3198, 2025, 2054, 2115, 2406, 2064, 2079, 2005, 2017, 1025, 3198, 2054, 2017, 2064, 2079, 2005, 2115, 2406, 1012, 1524, 2144, 2057, 3390, 2055, 2403, 2706, 3283, 2256, 2047, 8674, 2609, 2038, 2018, 1024, 1997, 2607, 1010, 1996, 7879, 1013, 5731, 2193, 2003, 2152, 2004, 2009, 5761, 12997, 11596, 1010, 2025, 5025, 27518, 1012, 2021, 2145, 1012, 2182, 1005, 1055, 1037, 10629, 2013, 5566, 1012, 4012, 2008, 5761, 3679, 3086, 2058, 1996, 2627, 3938, 2420, 2426, 2093, 25696, 2865, 5144, 2008, 2031, 2081, 3431, 1999, 1996, 2197, 2095, 1012, 2779, 2051, 2985, 2006, 2169, 2609, 1012, 4283, 2000, 2035, 1997, 2017, 2005, 2437, 2023, 2609, 1037, 3112, 1012, 2057, 1005, 2310, 2288, 2070, 2047, 2838, 2057, 1005, 2222, 2022, 5291, 2041, 1012, 2021, 2057, 2215, 2000, 2963, 2013, 2017, 1012, 2054, 7906, 2017, 2746, 2067, 1029, 2074, 2044, 4234, 2026, 2767, 4776, 4778, 2033, 2000, 3693, 2014, 2006, 1037, 2346, 4440, 2000, 18995, 2080, 1010, 7756, 1010, 1999, 1996, 2690, 1997, 3467, 1012, 18995, 2080, 2003, 1999, 1996, 2307, 6403, 1010, 1998, 3467, 7715, 4672, 2012, 2054, 2057, 2642, 2662, 3619, 5136, 5923, 1011, 27017, 2659, 2015, 1012, 2061, 1011, 1011, 2054, 1005, 1055, 1999, 18995, 2080, 2076, 1996, 2197, 2733, 1997, 2254, 1029, 2144, 3106, 1010, 18995, 2080, 2038, 2042, 2188, 2000, 1996, 3296, 11762, 4623, 7215, 1012, 2023, 1011, 1011, 3383, 4242, 1011, 1011, 2978, 1997, 3226, 2003, 9690, 1037, 2502, 1010, 2878, 14045, 14704, 1997, 2035, 1011, 2137, 11345, 1012, 9736, 1998, 5389, 1010, 14030, 5051, 27469, 1998, 11666, 1010, 8086, 2545, 1998, 5784, 1010, 2466, 23567, 2545, 1998, 3324, 1010, 16587, 1998, 3682, 2867, 1010, 2035, 8587, 2000, 8439, 1037, 4310, 2978, 1997, 2530, 3226, 1012, 1045, 2001, 2034, 3107, 2000, 11762, 9736, 2011, 2026, 3129, 4098, 1010, 2040, 7459, 2035, 2477, 2530, 1012, 2054, 1005, 1055, 1996, 4009, 1029, 1996, 10661, 1011, 1011, 2030, 3642, 1011, 1011, 1997, 1996, 2225, 2453, 2022, 4225, 2004, 6298, 1010, 1999, 1037, 7191, 3168, 1012, 2023, 2003, 1037, 2088, 1997, 2214, 1011, 13405, 2157, 1998, 3308, 1010, 1997, 12962, 5248, 2008, 2453, 4025, 6052, 1999, 2256, 3923, 1011, 9358, 7277, 2715, 3226, 1012, 2021, 1996, 1000, 11762, 2126, 1000, 2003, 2036, 17958, 2007, 2969, 1011, 2139, 28139, 18252, 19728, 1998, 2502, 10658, 11923, 1997, 8562, 1012, 2995, 1011, 2000, 1011, 2433, 1010, 2043, 1045, 2356, 4098, 2065, 2002, 2052, 12673, 4776, 1998, 1045, 1010, 2002, 6430, 1012, 2025, 2138, 2023, 3475, 1005, 1056, 2242, 2057, 1005, 2310, 2359, 2000, 2079, 2005, 2086, 1010, 2025, 2138, 2002, 2876, 1005, 1056, 2293, 2000, 2175, 1010, 2021, 2138, 2010, 8426, 2000, 2010, 3105, 1998, 2010, 3167, 11109, 2052, 2025, 3499, 2032, 2000, 2202, 2051, 2125, 2147, 2074, 2005, 4569, 1012, 1999, 2995, 11762, 17002, 2080, 1010, 2002, 2056, 1000, 2053, 1010, 2017, 3057, 2175, 1012, 2031, 4569, 1012, 1998, 2425, 4776, 1010, 1045, 4536, 2005, 1996, 4435, 999, 1000, 2057, 2681, 1999, 2625, 2084, 1037, 2733, 1012, 2057, 1005, 2310, 2787, 2000, 2175, 2035, 2041, 1010, 2611, 1011, 2806, 1010, 1998, 2202, 2012, 2560, 2093, 3431, 1997, 4253, 1011, 1011, 2035, 2530, 4929, 1011, 1011, 2566, 2154, 1012, 26693, 2023, 2022, 1037, 8210, 1996, 19145, 1011, 1998, 1011, 8227, 2806, 14855, 16671, 1006, 1045, 3246, 2057, 2191, 2009, 2188, 4142, 999, 1007, 1010, 2057, 2031, 2445, 9731, 14799, 1012, 4776, 1010, 1037, 3604, 1011, 3213, 1006, 2426, 2060, 2477, 1025, 1045, 1005, 2222, 2292, 2014, 8970, 2841, 2000, 2017, 1007, 3488, 1010, 8100, 1010, 2000, 4339, 1012, 1045, 1005, 1049, 1037, 8425, 5859, 1010, 1998, 1996, 2396, 2472, 2005, 8674, 2932, 1025, 1045, 2933, 2000, 5607, 7167, 1997, 7760, 1998, 3046, 2000, 5425, 1996, 2298, 1998, 2514, 1997, 2023, 2060, 2088, 1012, 12220, 29394, 1010, 3559, 1997, 8674, 1010, 2038, 4778, 2149, 2000, 9927, 2256, 4440, 1010, 1998, 2292, 2014, 2113, 2065, 2045, 2003, 2151, 6259, 4180, 2000, 11762, 4623, 1012, 1045, 2903, 1045, 2064, 2525, 3437, 2748, 1025, 2021, 1045, 1005, 2222, 2022, 4363, 2026, 5551, 2330, 1998, 2292, 2017, 2113, 1996, 4860, 1997, 1996, 4382, 2008, 2057, 2424, 1010, 1999, 18995, 2080, 1010, 1999, 1996, 2690, 1997, 1996, 3467, 1012, 2129, 1010, 1999, 2023, 2287, 1997, 4045, 11581, 2964, 1010, 2064, 2057, 4088, 2000, 3305, 3412, 12018, 1998, 17529, 6322, 1011, 1011, 2085, 2108, 2988, 2011, 1037, 3652, 2193, 1997, 2111, 2006, 1996, 22390, 2739, 1010, 2408, 1996, 4274, 1010, 1998, 2011, 2773, 1011, 1997, 1011, 2677, 1029, 2852, 1012, 7059, 6805, 2140, 1998, 2852, 1012, 2745, 1037, 1012, 12098, 28065, 6848, 12018, 2013, 1996, 2690, 5535, 2000, 2651, 1010, 2926, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2022, 2256, 4113, 4825, 2022, 2256, 4113, 4825, 2003, 5115, 2000, 2330, 2281, 2539, 1010, 2262, 1010, 2004, 2112, 1997, 1996, 3894, 2983, 1521, 1055, 5913, 3122, 4935, 1012, 3602, 1024, 17829, 2024, 21725, 2039, 3435, 2005, 2023, 2759, 3962, 999, 17186, 2091, 2000, 2156, 12183, 2015, 1998, 7760, 999, 10651, 999, 1024, 2156, 2256, 2022, 2256, 4113, 4825, 1523, 2673, 2006, 1996, 12183, 999, 3319, 1524, 2182, 999, 6745, 2739, 1024, 2022, 2256, 4113, 4825, 2097, 3710, 5404, 1998, 4511, 1517, 1996, 2034, 4825, 2000, 2079, 2061, 1999, 1996, 3894, 2983, 1012, 11562, 2182, 2005, 1024, 1011, 2022, 2256, 4113, 4825, 12183, 2015, 1998, 2833, 7760, 1011, 2022, 2256, 4113, 4825, 5404, 1013, 4511, 12183, 1011, 2022, 2256, 4113, 4825, 4268, 1521, 12183, 1011, 1037, 2022, 2256, 4113, 4825, 6302, 2778, 1011, 2022, 2256, 4113, 4825, 2225, 3358, 1998, 3123, 3916, 7760, 1011, 1998, 1037, 2022, 2256, 4113, 4825, 2678, 2778, 999, 4675, 1011, 2326, 1006, 3435, 2833, 1007, 2005, 6265, 1010, 2059, 2795, 2326, 1006, 4133, 2091, 1007, 2005, 4596, 2012, 6265, 1010, 3543, 1011, 3898, 1010, 12978, 17703, 1006, 2066, 2017, 2064, 2424, 2012, 21877, 13186, 3021, 1998, 9530, 18532, 6873, 7668, 1007, 2097, 2022, 2800, 2005, 6368, 2000, 7661, 4697, 2037, 4449, 1012, 2005, 2569, 23444, 11186, 1998, 5356, 4449, 1010, 5356, 10136, 2097, 2036, 2022, 2800, 1012, 2320, 2115, 2344, 2003, 2872, 1010, 2017, 1521, 2222, 4133, 2091, 1998, 2115, 2344, 2097, 2022, 5359, 2000, 2017, 2006, 2613, 2795, 8059, 1517, 2053, 3259, 1998, 6081, 2105, 2182, 1012, 6368, 2040, 2031, 8828, 2012, 13865, 22900, 4671, 1999, 5116, 6373, 2097, 3305, 1996, 2832, 2182, 1012, 2012, 4596, 1010, 6368, 2097, 2022, 8901, 1998, 2366, 2004, 1999, 2060, 6373, 2795, 1011, 2326, 7884, 1012, 2562, 3752, 2000, 2424, 2041, 2055, 1996, 8403, 7759, 4734, 2017, 1521, 2222, 2022, 7759, 1999, 999, 1996, 4825, 4272, 5139, 2575, 2005, 6265, 1998, 16029, 2005, 4596, 1012, 1006, 1999, 1996, 16241, 1996, 3123, 3916, 2003, 2109, 2004, 1037, 15308, 2181, 2005, 2795, 1011, 2326, 7759, 1012, 1007, 2828, 1997, 2833, 1024, 2413, 1011, 4427, 1010, 2156, 2917, 2005, 2440, 12183, 2015, 1012, 3295, 1024, 6841, 1521, 1055, 3317, 1999, 3894, 2983, 6373, 7759, 2933, 1024, 2748, 1010, 2028, 4248, 1011, 2326, 4923, 2005, 6265, 1025, 2028, 2795, 1011, 2326, 4923, 2005, 4596, 7251, 1999, 20365, 1024, 2748, 1010, 4596, 2069, 1012, 4675, 1011, 2326, 12183, 1024, 22094, 1998, 16521, 2015, 2006, 1996, 12183, 2097, 2421, 1037, 24799, 19332, 5562, 16521, 1998, 1037, 13675, 2080, 4226, 21380, 11642, 2007, 7844, 10654, 1010, 24665, 26230, 7869, 8808, 1010, 2022, 7507, 10199, 1998, 13433, 20058, 2015, 10424, 7616, 1010, 4606, 7844, 4977, 2006, 1037, 4010, 4524, 23361, 2618, 2007, 4487, 14339, 14415, 9516, 5562, 1010, 2030, 1037, 26192, 2094, 21475, 11642, 2007, 20548, 12136, 3659, 1012, 2122, 2024, 2036, 2366, 2007, 13433, 20058, 2015, 10424, 7616, 1012, 1037, 11655, 5084, 15960, 9841, 1517, 2023, 2003, 1996, 10026, 1521, 1055, 5440, 1012, 23566, 2015, 2097, 5959, 1037, 8209, 15415, 21864, 5403, 2030, 21864, 3630, 2050, 1010, 4618, 4140, 1010, 1998, 9610, 3726, 16521, 1012, 2005, 1996, 25358, 2891, 2012, 6265, 1010, 5987, 1037, 7844, 4977, 11642, 1010, 28115, 2766, 15960, 1010, 11021, 6240, 4135, 10354, 1010, 2712, 5596, 5003, 4048, 5003, 4048, 1010, 2030, 2878, 1011, 8982, 6097, 10464, 3490, 9370, 2007, 9985, 2527, 1998, 9587, 20715, 21835, 1012, 2795, 1011, 2326, 12183, 1024, 25869, 26869, 7373, 5127, 2007, 21391, 6240, 2015, 1998, 24165, 2015, 1010, 14163, 21218, 2015, 21734, 1999, 2317, 4511, 1010, 2413, 20949, 2030, 14557, 3389, 2243, 11350, 1010, 1037, 16521, 2007, 12327, 19354, 4886, 17603, 4674, 1010, 1998, 1037, 16521, 7146, 2007, 28115, 10506, 2102, 1010, 15547, 11493, 2015, 1010, 1998, 4589, 1025, 2665, 13435, 1010, 12851, 1010, 1998, 28115, 4618, 12868, 1025, 1998, 2300, 10199, 2239, 1010, 10958, 10521, 2232, 1010, 1998, 12927, 1012, 2364, 2607, 7047, 2421, 1037, 15177, 4168, 1011, 25738, 15960, 14513, 24494, 2007, 8740, 24665, 20363, 24857, 1010, 18672, 23491, 7373, 2600, 21863, 2007, 28115, 4344, 2989, 14629, 1010, 6090, 1011, 2712, 5596, 11840, 1999, 3389, 2243, 13545, 5657, 1010, 26192, 2094, 6167, 21475, 2007, 13433, 20058, 2015, 10424, 7616, 1010, 7842, 10421, 2098, 20130, 1998, 8040, 8095, 11923, 2007, 2310, 13871, 3111, 1999, 23893, 27060, 2007, 24519, 27940, 12901, 1010, 1998, 2019, 17428, 1011, 17776, 9350, 10610, 19231, 2571, 1012, 2005, 18064, 1010, 5959, 16876, 6949, 8808, 2030, 6420, 7967, 2452, 17955, 2015, 1010, 1037, 7967, 6949, 23893, 1010, 2030, 1037, 6896, 5909, 6949, 23893, 1012, 2005, 4268, 2012, 4596, 1010, 2009, 1521, 1055, 26192, 2094, 21475, 1010, 26192, 2094, 3869, 1997, 1996, 2154, 1010, 2878, 1011, 8982, 6097, 10464, 3490, 1010, 2030, 26192, 2094, 7975, 7388, 1012, 2048, 2512, 1011, 14813, 8085, 8974, 2097, 2022, 3253, 1999, 1037, 2061, 27346, 4313, 2175, 3468, 2102, 1012, 11562, 2122, 6971, 2000, 2156, 1037, 2022, 2256, 4113, 4825, 6302, 2778, 1010, 1998, 7760, 1997, 2022, 2256, 4113, 4825, 1521, 1055, 2225, 3358, 1998, 3123, 3916, 1012, 1996, 4825, 2097, 2022, 22704, 7650, 1996, 8075, 3317, 1006, 2188, 2000, 6841, 2013, 1523, 5053, 1998, 1996, 6841, 1524, 1007, 1999, 1996, 2047, 5913, 3122, 1523, 10833, 1524, 999, 4458, 2083, 2019, 2214, 11909, 2000, 1037, 2962, 2958, 1998, 2083, 18481, 1011, 3707, 6733, 2007, 2416, 6841, 2135, 4481, 2247, 1996, 3903, 1010, 6368, 2024, 6966, 1997, 1996, 2466, 1997, 1996, 6841, 1521, 1055, 8651, 1012, 1996, 4303, 2503, 1996, 2896, 5749, 1006, 2006, 1996, 2157, 1007, 1998, 2090, 1996, 2665, 3628, 2599, 2000, 2022, 2256, 4113, 1012, 7324, 1010, 7324, 999, 2043, 7194, 2005, 6265, 1010, 6368, 2024, 2856, 2083, 1996, 8177, 6797, 1010, 2073, 2416, 11072, 1997, 8177, 3233, 2247, 1996, 2813, 1006, 4952, 4876, 2005, 2019, 8138, 7204, 2013, 1996, 3384, 4481, 1007, 1012, 10166, 999, 1999, 1996, 6841, 1521, 1055, 18746, 1010, 6265, 4449, 2097, 2022, 2872, 2012, 2274, 4113, 1011, 8878, 17703, 1012, 4596, 6368, 2097, 4607, 3495, 2046, 1996, 22337, 14307, 1012, 5781, 3645, 8402, 2000, 1996, 5894, 2097, 4372, 14856, 2102, 15736, 2015, 8901, 1999, 1996, 10059, 3123, 3916, 2007, 1056, 9148, 22036, 1010, 3469, 1011, 2084, 1011, 2166, 4481, 1997, 9852, 1998, 6841, 1010, 10386, 1010, 6918, 2225, 3358, 3794, 2019, 22454, 3123, 1010, 2030, 1996, 2048, 1011, 2466, 2110, 2135, 14307, 13650, 2007, 1037, 29208, 5894, 1010, 5519, 20260, 9212, 9247, 10136, 1998, 5328, 1997, 5238, 4634, 4586, 1012, 1996, 14307, 16636, 2015, 1996, 2143, 1521, 1055, 27745, 2007, 1037, 2522, 12494, 2098, 1010, 2322, 1011, 3329, 5894, 2007, 27036, 8044, 1998, 24188, 12083, 2015, 1010, 16619, 9212, 9247, 10136, 1998, 1037, 14403, 12036, 2723, 1012, 2012, 1996, 2521, 2203, 1997, 1996, 2282, 1010, 2324, 1011, 3329, 1011, 4206, 9194, 3645, 2298, 2041, 2000, 1996, 2413, 10833, 1010, 2073, 2569, 3896, 3443, 1037, 2422, 26043, 2083, 1996, 14330, 2100, 3712, 1012, 9085, 2046, 1996, 2225, 3358, 1010, 6368, 2097, 2424, 1037, 9904, 1998, 2062, 8075, 7224, 1012, 1996, 3221, 4330, 15723, 4820, 1996, 22454, 3123, 3254, 9010, 15829, 2004, 2051, 3216, 2041, 2005, 1996, 6841, 1012, 2058, 1996, 13788, 1010, 1037, 6533, 1997, 1996, 2402, 3159, 1999, 2529, 2433, 2003, 23587, 2011, 1996, 6841, 1521, 1055, 10702, 1012, 2007, 16121, 1997, 7407, 1010, 1996, 3746, 1999, 1996, 6533, 21743, 2013, 3159, 2000, 6841, 1012, 1996, 3123, 3916, 2838, 1037, 2312, 2189, 3482, 2415, 11198, 3053, 1021, 2519, 4206, 2007, 9852, 1998, 1996, 6841, 3254, 1056, 9148, 22036, 10234, 1012, 5265, 1998, 13324, 21011, 4748, 9691, 1996, 3681, 1010, 12964, 1996, 3494, 2013, 1996, 2466, 1010, 2007, 2176, 1997, 1996, 13324, 21011, 4427, 2011, 4281, 2396, 2013, 1996, 2143, 1012, 7844, 10529, 2024, 2956, 2802, 1996, 2282, 999, 2013, 1996, 8075, 9630, 2341, 7905, 18447, 2080, 1996, 6841, 1521, 1055, 14307, 1529, 1529, 2000, 2122, 9882, 4443, 4576, 16061, 2015, 1010, 2130, 1996, 2723, 2003, 26510, 2007, 17796, 16061, 2015, 999, 2007, 5674, 6850, 4751, 1010, 6368, 2097, 2514, 2004, 2065, 2027, 1521, 2310, 2042, 9687, 2503, 1996, 11419, 2143, 1012, 4638, 2041, 1037, 2678, 1997, 1996, 5294, 15533, 2008, 4240, 2004, 1996, 14307, 1521, 1055, 18876, 999, 6368, 2097, 2022, 22454, 2007, 2434, 8266, 1998, 4323, 3787, 2066, 2023, 9788, 6533, 11253, 1996, 6841, 2370, 1012, 2057, 2293, 2023, 25545, 16226, 1517, 1996, 22454, 3123, 19699, 5358, 5053, 1998, 1996, 6841, 999, 2151, 5470, 1997, 1996, 2143, 4282, 2008, 1996, 6454, 1997, 1996, 3123, 3248, 1037, 3278, 2535, 1999, 1996, 4129, 1997, 6841, 1521, 1055, 2466, 1012, 2043, 2017, 7180, 2005, 1996, 2034, 2051, 1010, 2202, 3602, 1997, 1996, 10529, 7844, 2046, 1996, 10457, 1997, 4825, 8397, 1012, 23880, 10529, 3711, 2000, 2022, 2152, 2006, 3681, 1529, 24958, 1037, 7086, 1010, 3383, 1029, 1998, 2022, 2469, 2000, 2298, 2039, 2043, 4458, 2083, 1996, 4825, 2000, 2202, 1999, 1996, 4138, 6987, 1997, 1996, 5894, 1010, 2004, 2092, 2004, 1996, 10529, 2006, 1996, 15433, 1997, 2122, 13766, 1012, 2023, 14726, 9702, 1011, 3221, 3123, 9212, 9247, 3771, 12950, 5040, 3645, 999, 1996, 4518, 2100, 14006, 2008, 12205, 1996, 2690, 5997, 2428, 16636, 1996, 3110, 2008, 2017, 1521, 2128, 1999, 1037, 3317, 1012, 1998, 4638, 2041, 2008, 9882, 2630, 1998, 2751, 16061, 29208, 5894, 999, 2004, 1999, 2035, 6373, 3152, 1010, 2189, 2003, 2019, 2590, 5783, 2802, 1996, 2022, 2256, 4113, 4825, 1012, 3315, 6991, 2013, 1996, 2143, 5587, 2000, 1996, 2572, 15599, 3401, 1012, 1999, 1996, 14307, 1010, 1037, 2753, 1011, 3538, 4032, 2680, 1996, 2189, 2013, 1996, 2143, 1012, 1996, 3123, 3916, 1010, 2838, 2569, 2189, 3482, 7565, 1997, 1996, 2168, 4109, 2657, 1999, 1996, 14307, 1010, 1999, 3819, 26351, 8093, 16585, 1010, 2061, 2008, 6368, 3048, 2013, 2282, 2000, 2282, 2097, 2963, 1996, 2168, 8694, 8590, 2013, 2028, 2806, 2000, 2178, 1012, 2009, 1521, 1055, 1999, 1996, 2225, 3358, 1010, 2008, 1037, 28587, 1010, 22247, 6512, 2097, 2022, 2657, 1012, 4113, 3319, 1024, 2022, 2256, 4113, 4825, 4596, 2012, 1996, 3894, 2983, 4113, 3319, 1024, 2022, 2256, 4113, 4825, 6265, 1999, 1996, 3894, 2983, 4113, 3319, 1024, 13675, 2080, 4226, 21380, 2012, 3894, 2983, 1521, 1055, 2022, 2256, 4113, 4825, 6373, 2833, 9927, 1996, 1523, 2673, 2006, 1996, 12183, 999, 999, 1524, 4596, 3319, 1997, 2022, 2256, 4113, 4825, 1999, 6373, 2088, 6373, 2833, 9927, 3319, 1024, 2022, 2256, 4113, 4825, 6265, 4113, 3319, 1024, 2047, 9841, 2012, 2022, 2256, 4113, 4825, 1999, 6373, 2088, 1521, 1055, 3894, 2983, 1011, 17829, 2097, 2022, 2200, 3697, 2000, 2131, 2043, 2009, 2034, 7480, 1012, 4748, 2869, 2097, 2330, 2006, 2257, 3983, 999, 2059, 1010, 2017, 1521, 2222, 2342, 2000, 2655, 8380, 2420, 1999, 5083, 2005, 17829, 1012, 2065, 6595, 2012, 1037, 6373, 7001, 1010, 2655, 8380, 2420, 1999, 5083, 1998, 3198, 2005, 11343, 2076, 2035, 2420, 1997, 2115, 2994, 1012, 1011, 1037, 4923, 4003, 2193, 2003, 3223, 2012, 2051, 1997, 21725, 1012, 2065, 2017, 2342, 2000, 17542, 1010, 2079, 2061, 3188, 2000, 2484, 2847, 2077, 2115, 11079, 2051, 1025, 2045, 2097, 2022, 1037, 7408, 2000, 17542, 2306, 2484, 2847, 1012, 1011, 2053, 3494, 2024, 5115, 2000, 3711, 1012, 5327, 2005, 2070, 2019, 9581, 15312, 2594, 4569, 999, 1011, 1996, 3123, 3916, 2097, 2069, 2022, 2330, 2076, 6265, 1012, 3297, 10447, 1024, 2057, 2064, 1521, 1056, 3524, 2000, 2963, 2115, 6904, 6961, 999, 6373, 2833, 9927, 8466, 18625, 2022, 2256, 4113, 1024, 2017, 2453, 2036, 2066, 1024, 21686, 1521, 1055, 2548, 2795, 1010, 17712, 2545, 9825, 2548, 19032, 2534, 1517, 4615, 2466, 8654, 4825, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2281, 2539, 2297, 1006, 27594, 2121, 1007, 2009, 1005, 1055, 2035, 4198, 1024, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1005, 1055, 7344, 3936, 1012, 15158, 2015, 4958, 10799, 4330, 1998, 9318, 8076, 7566, 2000, 2694, 5009, 2055, 2047, 10990, 22191, 9046, 1999, 1996, 2265, 1012, 2281, 5718, 2297, 2522, 28426, 2239, 1005, 1055, 19430, 2915, 2013, 2279, 9857, 1005, 1055, 6074, 1997, 6099, 1012, 5215, 2370, 2038, 6866, 2009, 2006, 2010, 9130, 3931, 1012, 2062, 1012, 1012, 1012, 2255, 2654, 2297, 1006, 27594, 2121, 1007, 2117, 13583, 19043, 2013, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1016, 2595, 2692, 2575, 1012, 1000, 1037, 21726, 2160, 1000, 14369, 3892, 1012, 1998, 7918, 2638, 28619, 18009, 1998, 5215, 18281, 13260, 2149, 2000, 1056, 28394, 2102, 2444, 1012, 2257, 5757, 2297, 1006, 27594, 2121, 1007, 28699, 10924, 2006, 1996, 14448, 3267, 1997, 8348, 1005, 1055, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2161, 2048, 1012, 11265, 17080, 3367, 28699, 18969, 2007, 1996, 3459, 1998, 3626, 1997, 20118, 2015, 2055, 2054, 1005, 1055, 2000, 2272, 1999, 2161, 1016, 1012, 2251, 6185, 2297, 5215, 18281, 15841, 2522, 28426, 2239, 1005, 1055, 2535, 1999, 6074, 1997, 6099, 1005, 1055, 1055, 2475, 1012, 2053, 20385, 2012, 2054, 1005, 1055, 2000, 2272, 1010, 2074, 1037, 9185, 2006, 2054, 1055, 2487, 1005, 1055, 9599, 2275, 2039, 1012, 2238, 2538, 2297, 5215, 18281, 1011, 21117, 2099, 2860, 1005, 1055, 4113, 6520, 2622, 1012, 18281, 7657, 2274, 5440, 2774, 1998, 2129, 2002, 4810, 2005, 2010, 1000, 2331, 1000, 3496, 1999, 8348, 1005, 1055, 1996, 14936, 1012, 2238, 5709, 2297, 5215, 18281, 1005, 1055, 25933, 2006, 2417, 23194, 1012, 2023, 2724, 2234, 2039, 2005, 1005, 3404, 2033, 1005, 2021, 2001, 3262, 2055, 20118, 2015, 1012, 2089, 2656, 2297, 3459, 1997, 6074, 1997, 6099, 28699, 18969, 2055, 2161, 1016, 2012, 5021, 12952, 9541, 4143, 1012, 1996, 3459, 2001, 2006, 2192, 2012, 5021, 12952, 9541, 4143, 2000, 2831, 2000, 8339, 2006, 1996, 2627, 2161, 1997, 6074, 1997, 6099, 1998, 2054, 2089, 2272, 2000, 3413, 1012, 5215, 18281, 2003, 1996, 4113, 2006, 2651, 1005, 1055, 11265, 17080, 3367, 16110, 1012, 2027, 2831, 2055, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 8348, 1010, 1998, 5215, 1005, 1055, 2047, 3185, 3404, 2033, 1010, 2426, 2060, 2477, 1012, 2089, 5709, 2297, 5215, 18281, 2139, 23736, 27235, 2094, 2006, 1996, 2345, 4178, 1997, 6074, 1997, 6099, 1012, 5021, 2338, 4219, 2038, 1037, 11834, 2007, 5215, 18281, 2055, 1996, 4254, 1997, 2952, 2637, 1016, 2006, 6099, 1010, 1996, 14936, 8297, 1998, 1996, 2034, 8348, 5021, 2338, 2008, 13322, 2032, 1012, 1998, 2004, 1996, 17653, 2052, 6592, 1010, 2045, 1005, 1055, 2036, 2070, 20385, 2055, 1996, 2197, 3232, 1997, 4178, 1997, 1996, 2783, 2161, 1012, 2089, 5890, 2297, 5215, 18281, 2006, 4038, 2430, 1005, 1055, 1000, 1030, 7090, 1000, 1012, 5215, 18281, 6368, 2006, 4038, 2430, 2265, 1000, 1030, 7090, 1000, 1999, 2037, 6903, 3027, 2860, 1012, 1996, 2440, 2516, 1997, 1996, 12528, 1998, 1996, 12528, 2993, 2024, 24978, 2546, 2860, 1012, 2258, 2656, 2297, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1011, 1000, 1996, 3526, 2923, 1000, 2011, 4562, 23680, 16416, 2854, 1012, 1000, 8348, 1005, 1055, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1000, 4543, 4562, 23680, 16416, 2854, 20880, 2015, 2007, 3526, 2923, 4388, 9061, 2869, 2000, 3443, 1037, 3948, 10145, 2836, 2005, 3883, 6864, 9353, 5484, 1010, 2005, 1996, 2792, 1000, 1996, 2069, 2422, 1999, 1996, 4768, 1012, 1000, 23680, 16416, 2854, 2038, 2036, 2517, 4866, 3964, 2006, 1996, 2792, 1012, 2062, 1012, 1012, 1012, 2258, 2484, 2297, 5215, 18281, 1005, 1055, 1000, 3404, 2033, 1000, 2038, 1037, 2047, 9117, 1012, 2002, 1005, 1055, 1996, 3213, 1998, 2472, 2007, 1037, 27547, 3459, 1012, 2258, 2321, 2297, 1049, 1012, 1037, 1012, 1051, 1012, 1055, 1012, 11703, 24938, 1024, 2792, 2324, 1012, 2186, 3340, 5215, 18281, 1998, 11861, 1011, 6583, 19181, 2247, 2007, 2708, 5541, 2961, 1997, 8348, 4024, 3533, 10861, 3736, 2850, 1998, 2522, 1011, 3237, 3135, 2703, 1062, 3762, 17112, 7974, 5488, 3693, 12049, 2005, 1037, 2569, 5997, 2792, 1012, 2258, 2410, 2297, 1006, 27594, 2121, 1007, 2522, 11283, 15488, 21285, 2545, 7545, 3814, 2940, 2067, 2000, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1012, 10799, 4330, 1998, 15333, 8458, 8840, 15878, 6848, 2522, 11283, 15488, 21285, 2545, 1013, 3814, 2940, 1005, 1055, 3276, 2000, 6099, 1998, 4919, 1996, 5889, 1998, 3494, 1997, 6074, 1997, 6099, 1012, 2062, 1012, 1012, 1012, 2258, 2184, 2297, 1006, 27594, 2121, 1007, 10799, 4330, 2003, 10263, 2055, 2396, 2147, 2005, 1000, 8348, 1005, 1055, 6074, 1997, 6099, 1000, 2792, 1000, 11293, 1000, 1012, 3237, 3135, 10799, 4330, 3640, 12369, 2369, 1996, 10319, 2396, 2005, 1996, 12965, 2792, 1997, 1996, 2161, 1012, 2258, 5641, 2297, 4562, 23680, 16416, 2854, 2006, 4577, 6074, 1997, 6099, 1015, 1012, 2459, 1000, 2735, 1010, 2735, 1010, 2735, 1000, 1012, 20118, 2015, 4543, 1010, 4562, 23680, 16416, 2854, 1010, 3084, 2010, 2034, 2695, 1997, 2297, 10537, 2129, 2002, 2580, 1996, 2189, 2005, 1996, 15425, 2792, 1997, 1996, 2161, 1012, 2258, 5757, 2297, 1006, 27594, 2121, 1007, 2143, 7487, 2128, 3406, 27896, 2694, 1005, 1055, 1005, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1005, 1012, 1996, 3720, 7566, 2055, 1996, 3431, 1999, 1996, 2345, 2416, 4178, 2005, 6074, 1997, 6099, 2004, 1037, 2765, 1997, 1996, 7657, 1999, 2952, 2637, 1024, 3467, 5268, 1012, 2258, 5890, 2297, 1996, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2265, 23195, 2015, 2831, 2007, 1996, 5365, 6398, 1012, 1000, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1000, 2717, 14287, 2015, 3892, 2006, 5925, 1010, 1998, 3237, 6443, 24401, 1059, 9072, 2239, 1998, 5003, 9496, 11488, 9092, 7507, 2890, 2239, 2831, 2000, 1996, 5365, 6398, 2055, 8599, 1010, 1996, 2458, 1997, 1996, 2265, 1010, 1998, 2054, 2000, 5987, 1999, 1996, 2345, 2698, 4178, 1997, 1996, 2161, 1012, 2233, 2656, 2297, 6074, 1997, 6099, 3459, 1998, 3626, 4357, 2007, 17324, 2099, 1012, 5215, 18281, 7566, 2055, 5782, 2000, 4339, 1037, 8425, 3117, 1998, 3784, 6256, 1997, 2331, 29027, 1012, 2062, 1012, 1012, 1012, 2233, 2603, 2297, 2444, 5460, 1997, 6074, 1997, 6099, 5122, 2100, 14081, 5997, 2012, 1016, 1024, 4002, 7610, 13866, 1012, 1996, 3459, 1998, 3626, 2097, 2831, 2055, 2037, 2147, 2006, 1996, 8348, 2547, 2186, 1012, 2337, 5757, 2297, 5215, 18281, 15841, 4005, 2522, 28426, 2239, 1005, 1055, 8115, 1012, 6074, 1997, 6099, 1005, 1055, 22518, 3003, 2003, 10263, 2012, 8348, 16260, 2006, 2010, 2839, 1005, 1055, 17108, 2926, 1999, 6745, 4178, 1998, 2010, 3276, 2007, 16590, 1012, 2337, 5709, 2297, 5215, 18281, 7566, 2000, 8775, 2595, 2055, 6074, 1997, 6099, 1998, 14936, 1016, 1012, 2076, 2023, 2275, 3942, 1996, 3364, 7566, 2055, 2746, 2067, 2000, 1996, 2839, 2002, 7459, 1012, 2254, 2382, 2297, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2006, 2275, 1024, 5215, 18281, 2006, 7800, 1010, 2522, 28426, 2239, 1005, 1055, 2601, 2217, 1998, 9761, 3389, 1012, 2023, 2003, 2013, 1996, 3522, 22975, 2050, 2275, 3942, 1012, 1012, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 2609, 2036, 2038, 1037, 2275, 4357, 2007, 9318, 3841, 7159, 2004, 2092, 1012, 10651, 2062, 2013, 5215, 2182, 1012, 2281, 2340, 2286, 5215, 18281, 2515, 1996, 2376, 1997, 4005, 2522, 28426, 2239, 1999, 23853, 8348, 3565, 7348, 1012, 1996, 2208, 2003, 2041, 2023, 2733, 1998, 9944, 16650, 2099, 2435, 2009, 1023, 1013, 2184, 1012, 2281, 5840, 2286, 1996, 11265, 17080, 3367, 16110, 7636, 5215, 18281, 1012, 2002, 15841, 2129, 4005, 2522, 28426, 2239, 2234, 2000, 4125, 1010, 26536, 18483, 1037, 2476, 2090, 3015, 1998, 3772, 1998, 2002, 4136, 1037, 4689, 2466, 2055, 3772, 2006, 5934, 1012, 2255, 2385, 2286, 1006, 27594, 2121, 1007, 5215, 18281, 9010, 2502, 1005, 2522, 28426, 2239, 3268, 1005, 20385, 2006, 6554, 2332, 2085, 1012, 1996, 10236, 2038, 2070, 23824, 16614, 2013, 1996, 4357, 1012, 2255, 5718, 2286, 2054, 1059, 9072, 2239, 2535, 2052, 7150, 6039, 3258, 1998, 5215, 18281, 15454, 1029, 1037, 12528, 2013, 1037, 3444, 4674, 2006, 1996, 2137, 2713, 1997, 1996, 2172, 4748, 2080, 2055, 2498, 14154, 1011, 4097, 1013, 4966, 1012, 5215, 18281, 2000, 4113, 2006, 1996, 21271, 2006, 2255, 1021, 1010, 2286, 1012, 1996, 2265, 14369, 2006, 5925, 1999, 1996, 5027, 1012, 2009, 3504, 2066, 2027, 1005, 2222, 2022, 2437, 22094, 1012, 2255, 5890, 2286, 5215, 18281, 2003, 1037, 4113, 3892, 2006, 1005, 5261, 5035, 10199, 2444, 1005, 2000, 5326, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1012, 1996, 2265, 2003, 2006, 5925, 2012, 2340, 1024, 3486, 9737, 1012, 2036, 2725, 1996, 2397, 2305, 6241, 2003, 4532, 9393, 21500, 8017, 1010, 2040, 1005, 2222, 5326, 2014, 2047, 2265, 1005, 1996, 4689, 3924, 1005, 2006, 1005, 2397, 2265, 2007, 2585, 26593, 1005, 3892, 1012, 2006, 3141, 2739, 4079, 2002, 22927, 2001, 1037, 4113, 2006, 2197, 2305, 1005, 1055, 1005, 1996, 2397, 2397, 2007, 7010, 11262, 1005, 2062, 1012, 1012, 1012, 2251, 2484, 2286, 8183, 4757, 1059, 9072, 2239, 1998, 5215, 18281, 2831, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 2012, 5021, 1011, 9530, 1012, 2678, 4357, 2012, 2686, 1012, 6187, 1012, 2238, 2654, 2286, 1996, 11265, 17080, 3367, 4037, 7636, 5215, 18281, 1998, 7150, 6039, 3258, 2055, 1000, 2172, 4748, 2080, 1000, 1998, 2037, 2060, 3934, 1010, 2164, 1000, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1000, 2005, 1996, 2034, 1998, 1000, 9219, 2118, 1000, 2005, 1996, 3732, 1012, 2238, 2656, 2286, 1996, 8902, 24198, 2099, 7636, 5215, 18281, 1012, 2002, 7566, 2055, 2172, 4748, 2080, 1010, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1010, 1998, 2116, 2060, 2477, 1011, 1011, 1998, 2682, 2035, 1010, 2002, 1005, 1055, 11951, 2004, 2412, 999, 2238, 2322, 2286, 1037, 3319, 1997, 1996, 4005, 2522, 28426, 2239, 2895, 3275, 1006, 3794, 5215, 18281, 1007, 1012, 1037, 5621, 6919, 2518, 2000, 3422, 1012, 2238, 2410, 2286, 3898, 10188, 7636, 5215, 18281, 1012, 1000, 1045, 2066, 2653, 1012, 1045, 2066, 3331, 1012, 1045, 2066, 3015, 1012, 1045, 2066, 3376, 3670, 1012, 1000, 2062, 1012, 1012, 1012, 2238, 5511, 2286, 1996, 3459, 1997, 1000, 2172, 4748, 2080, 2055, 2498, 1000, 3745, 2037, 3076, 2143, 2162, 3441, 1012, 2074, 1999, 2051, 2005, 3892, 1005, 1055, 3076, 2914, 2982, 1010, 1996, 3459, 1997, 1000, 2172, 4748, 2080, 2055, 2498, 1000, 6661, 2037, 3076, 2143, 2162, 3441, 1012, 27859, 1024, 1996, 7436, 2015, 7858, 3149, 2036, 2038, 1037, 2678, 1997, 1996, 5997, 2012, 7436, 2015, 19350, 1012, 2062, 1012, 1012, 1012, 2238, 6021, 2286, 5215, 18281, 1996, 1000, 2047, 2332, 1997, 1996, 1059, 9072, 2239, 16070, 1000, 1012, 3835, 3444, 2006, 5215, 18281, 2040, 2003, 2649, 1999, 1996, 3720, 2004, 2383, 1037, 1000, 2227, 2008, 2003, 20076, 2000, 3280, 1000, 1012, 12817, 2006, 2172, 4748, 2080, 1010, 6099, 1010, 14936, 2021, 3262, 18281, 1998, 1059, 9072, 2239, 1012, 2089, 2385, 2286, 5394, 3375, 7566, 2000, 8183, 4757, 1059, 9072, 2239, 1998, 5215, 18281, 1012, 1996, 2474, 2335, 9927, 15841, 1996, 2709, 1997, 2522, 28426, 2239, 2007, 2256, 7348, 1012, 2089, 2321, 2286, 6074, 1997, 6099, 3459, 7566, 2000, 3229, 5365, 1012, 1037, 2261, 2460, 15800, 2007, 2070, 1997, 1996, 5889, 1010, 1999, 16392, 2076, 5925, 1005, 1055, 2039, 12792, 2015, 1012, 5215, 18281, 2006, 4005, 2522, 28426, 2239, 1005, 1055, 2709, 1012, 1000, 1045, 2031, 1037, 3110, 2065, 2027, 2730, 2033, 2125, 2153, 2009, 2052, 2022, 2005, 2204, 2061, 1045, 1005, 1049, 2200, 6176, 2000, 3191, 1996, 2203, 1997, 1996, 5896, 2296, 2051, 1045, 2131, 2028, 1012, 1000, 2062, 1012, 1012, 1012, 2258, 2423, 2286, 5215, 18281, 5720, 2000, 13675, 10696, 2239, 4179, 2055, 1005, 3404, 2033, 1005, 1010, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1998, 2522, 28426, 2239, 1005, 1055, 2925, 1012, 2002, 2758, 2522, 28426, 2239, 2089, 2025, 2022, 23053, 2065, 5925, 2987, 1005, 1056, 4060, 2039, 1996, 2265, 1012, 2258, 2322, 2286, 5215, 18281, 7566, 6074, 1997, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 1012, 2522 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2004, 1037, 3128, 4407, 2078, 1010, 19193, 6671, 2038, 2467, 2042, 2026, 6871, 3601, 2005, 5193, 2000, 2047, 2259, 2103, 1012, 1996, 2194, 18058, 2054, 1045, 2342, 1999, 1037, 3164, 3345, 4434, 1024, 3435, 1010, 8114, 1010, 4550, 1998, 23766, 1012, 19193, 6671, 2003, 2524, 2012, 2147, 1999, 2060, 2752, 1997, 8013, 2326, 1012, 1996, 2194, 2003, 2311, 2041, 1037, 13486, 2270, 4769, 1998, 4653, 2291, 2008, 2097, 2574, 2031, 1037, 3739, 1999, 2296, 2276, 1999, 1996, 19193, 6671, 2291, 1012, 2747, 5467, 2006, 1996, 2314, 2240, 1010, 4794, 7120, 2240, 1998, 2012, 3056, 3902, 3703, 2024, 3773, 1998, 4994, 1996, 3463, 1012, 1523, 2004, 2112, 1997, 2256, 3947, 2000, 5335, 8013, 4806, 1010, 2057, 2024, 9229, 1996, 4653, 3737, 1997, 2256, 4628, 2592, 3001, 1010, 2004, 2092, 2004, 5815, 8834, 2012, 5269, 2073, 2027, 3130, 2134, 1521, 1056, 4839, 1010, 1524, 2056, 2585, 20996, 16671, 9910, 1010, 3208, 1997, 2270, 4769, 4806, 6786, 2005, 19193, 6671, 1012, 1523, 2057, 1521, 2128, 2036, 9229, 1996, 3737, 1997, 2256, 2270, 4769, 3001, 2000, 5676, 2008, 6304, 2064, 2963, 25674, 1999, 1996, 4334, 2276, 4044, 1012, 2023, 2047, 2291, 2003, 2200, 3154, 1998, 9530, 18380, 1012, 1524, 1037, 2236, 19184, 1997, 1996, 2291, 2069, 20385, 2012, 1996, 5294, 18457, 2369, 1996, 6349, 1012, 2023, 3475, 1521, 1056, 2004, 3722, 2004, 6419, 5894, 7492, 2030, 5815, 1037, 2261, 5751, 1012, 2009, 1521, 1055, 7687, 1037, 3143, 18181, 1997, 1037, 3375, 2291, 2008, 2950, 28636, 2185, 2013, 16350, 8241, 7248, 1998, 6450, 21431, 8311, 1025, 1998, 2646, 1037, 16367, 1010, 2969, 1011, 3079, 1998, 3498, 2897, 2328, 2000, 4487, 11393, 19269, 5746, 1998, 5107, 2592, 2013, 2028, 2000, 2116, 2685, 1012, 20996, 16671, 9910, 1998, 2010, 3330, 3095, 2024, 2559, 2000, 1996, 12997, 4044, 2000, 6162, 2037, 7268, 4432, 1012, 1996, 2136, 2003, 8304, 1996, 3484, 1997, 1996, 8346, 2832, 1010, 2007, 3347, 2319, 2640, 9228, 1010, 1037, 10552, 3813, 2241, 1999, 12674, 3790, 1010, 1050, 1012, 1046, 1012, 1010, 13951, 1999, 2640, 1998, 3941, 4989, 1012, 2119, 3316, 2024, 2036, 2551, 2007, 2192, 1011, 3856, 17088, 2000, 8116, 12997, 1011, 5379, 3001, 2007, 2330, 4781, 1012, 2023, 2950, 8840, 4226, 15482, 1998, 2049, 4310, 3793, 1011, 2000, 1011, 4613, 3194, 1025, 22466, 2595, 1010, 2019, 5746, 2058, 12997, 8325, 2008, 12939, 12379, 5746, 4353, 2408, 1996, 2897, 1025, 1998, 7386, 2319, 2189, 2177, 1010, 1996, 6687, 2194, 1997, 4742, 6364, 1010, 22686, 1998, 5189, 13102, 25508, 2121, 9639, 2012, 1996, 2536, 3703, 1012, 1523, 6671, 3001, 1999, 2236, 2024, 2200, 4030, 2000, 2689, 1010, 1524, 2056, 2928, 19460, 1010, 2343, 1997, 3347, 2319, 2640, 9228, 1012, 1523, 19193, 6671, 2003, 2006, 1996, 2877, 3341, 1997, 1037, 9874, 2646, 23658, 3001, 2008, 2024, 2053, 2936, 2241, 9578, 2006, 3941, 1010, 1524, 2056, 19460, 1012, 1523, 19193, 6671, 1521, 1055, 2047, 3252, 1010, 2241, 2006, 2203, 3463, 2085, 1010, 18058, 3274, 1011, 7013, 24732, 3081, 2019, 12997, 2897, 9909, 2047, 5906, 2000, 2054, 2001, 2077, 2019, 5746, 1011, 2069, 9009, 1012, 2023, 7480, 2039, 2116, 12020, 2005, 22380, 5746, 1010, 3793, 1010, 2678, 1010, 8822, 1998, 15899, 1999, 1996, 7289, 24732, 2291, 1012, 1524, 19460, 2794, 2008, 1999, 1996, 2832, 1997, 17534, 2006, 2060, 6671, 5841, 1999, 1996, 2142, 2163, 1998, 7587, 2002, 2038, 2464, 19193, 6671, 9254, 2265, 2039, 1999, 28699, 2015, 2005, 2060, 3001, 1517, 3391, 2006, 1996, 5746, 2217, 1012, 1523, 1037, 2843, 1997, 2111, 2040, 2024, 1999, 3715, 1997, 5746, 24732, 2005, 6671, 3001, 2031, 2042, 2559, 2005, 2047, 3971, 2000, 3623, 1996, 3737, 1998, 6325, 1997, 6643, 3001, 1010, 1524, 2002, 2506, 1012, 1523, 1996, 2794, 10961, 2064, 2022, 2524, 2000, 16114, 2130, 2295, 2009, 9005, 1037, 2172, 2488, 2291, 1012, 1996, 2755, 2008, 19193, 6671, 2003, 2941, 13946, 2023, 2573, 2003, 2437, 2068, 1037, 11409, 2818, 8091, 1997, 11901, 1999, 2893, 2060, 3001, 9725, 1012, 1524, 1996, 4563, 2951, 2415, 1010, 2284, 1999, 12948, 1010, 2747, 3506, 1037, 8150, 1997, 8241, 7248, 2008, 4425, 4628, 2592, 2000, 5751, 1012, 2012, 2028, 2391, 17088, 2443, 7279, 2696, 2974, 1998, 10488, 12273, 2974, 2005, 1996, 14334, 4334, 2291, 1010, 16216, 2005, 2422, 4334, 1998, 10348, 2005, 1996, 3902, 2291, 1012, 2070, 1997, 2122, 3001, 2031, 2144, 2042, 18953, 2067, 1998, 2500, 2024, 2485, 2000, 14489, 3294, 2004, 19193, 6671, 22164, 2049, 2047, 4432, 1012, 1523, 2057, 2018, 1037, 2843, 1997, 2367, 17088, 2007, 2367, 4725, 1998, 17881, 2000, 3769, 9869, 2592, 1010, 2029, 2081, 2009, 3697, 2000, 3073, 6304, 2007, 6179, 2592, 1010, 1524, 2056, 20996, 16671, 9910, 1012, 1523, 2057, 2787, 2000, 2430, 4697, 2256, 2951, 1010, 2061, 2008, 2057, 2064, 3073, 3154, 1998, 2039, 1011, 2000, 1011, 1996, 1011, 3371, 4751, 2055, 2037, 4012, 26746, 2015, 1012, 1524, 19193, 6671, 8267, 2049, 3345, 1998, 3902, 2951, 2013, 1996, 12997, 2015, 4334, 7809, 2968, 2291, 1010, 2029, 3640, 12247, 2013, 2650, 13782, 1998, 2060, 2613, 1011, 2051, 2592, 2164, 3345, 5269, 1012, 2008, 2592, 2003, 7349, 2046, 19193, 6671, 1521, 1055, 2536, 8241, 1013, 7809, 7248, 2006, 1037, 7142, 3978, 1010, 2007, 5606, 1997, 2047, 14409, 2566, 3178, 1012, 19193, 6671, 9224, 2059, 7276, 1996, 2592, 2000, 3743, 2058, 2270, 4769, 1998, 29404, 1012, 1996, 2047, 2640, 4455, 2005, 19193, 6671, 2000, 2574, 2224, 1037, 2309, 2291, 2005, 2035, 5919, 1997, 2049, 6970, 5302, 9305, 5193, 3001, 2008, 2003, 6082, 2000, 5441, 1010, 5452, 1010, 27950, 1998, 10651, 1012, 1523, 2004, 2051, 3632, 2006, 2057, 1521, 2222, 2031, 2062, 1998, 2062, 2491, 2058, 1996, 2367, 5919, 1010, 1998, 8491, 8311, 2007, 2648, 17088, 1010, 1524, 2056, 2520, 10223, 15671, 1010, 4087, 8325, 1010, 2270, 4769, 4806, 6786, 2005, 19193, 6671, 1012, 1523, 2005, 2085, 1010, 2057, 2031, 16367, 1996, 7086, 2008, 2035, 1997, 2122, 3001, 2272, 2046, 1010, 2029, 2965, 2008, 2004, 2028, 21431, 3727, 1010, 2009, 2003, 4248, 1998, 3733, 2000, 11027, 2008, 2112, 1997, 1996, 2291, 1012, 1524, 1996, 4834, 1997, 4628, 2592, 4269, 2000, 2202, 4338, 2044, 19193, 6671, 9224, 3067, 1996, 6413, 2951, 2013, 1996, 12997, 2015, 2291, 1998, 4607, 2009, 2046, 1996, 19193, 6671, 7809, 2291, 1012, 1996, 7696, 6037, 2006, 5751, 2012, 1996, 2536, 3703, 1998, 1996, 19193, 6671, 4773, 2609, 2024, 4991, 2000, 2376, 2478, 2019, 12978, 3793, 1011, 2000, 1011, 4613, 3194, 2008, 7137, 1037, 20478, 2376, 4471, 1012, 2096, 2023, 2089, 3288, 12018, 1997, 2019, 2214, 26680, 29548, 2201, 1010, 1996, 2765, 2003, 4469, 8551, 3981, 11272, 2166, 10359, 1998, 3019, 1012, 6959, 1997, 1996, 3793, 1998, 5746, 7696, 2000, 2169, 2276, 4247, 2802, 1996, 2154, 2006, 1037, 5115, 3978, 1012, 19193, 6671, 3479, 1996, 8840, 4226, 15482, 3793, 1011, 2000, 1011, 4613, 1006, 23746, 2015, 1007, 4007, 3194, 2000, 10463, 1996, 7809, 2592, 2005, 2270, 4769, 1012, 20996, 16671, 9910, 3964, 2008, 2116, 3793, 1011, 2000, 1011, 4613, 5209, 2024, 2200, 13988, 17198, 8462, 1998, 10368, 2000, 2986, 1011, 8694, 1012, 2116, 2036, 10859, 1996, 5310, 2007, 2128, 13596, 1997, 4730, 5906, 2008, 2024, 3223, 2000, 2130, 3621, 1056, 8545, 4817, 1996, 2291, 1012, 1523, 8840, 4226, 15482, 2038, 1037, 2200, 21934, 24759, 6553, 3921, 2000, 14171, 23620, 2015, 1998, 26136, 6593, 14505, 2015, 1010, 1524, 2002, 2056, 1012, 1523, 2009, 1521, 1055, 7199, 3733, 2000, 11477, 1996, 3169, 1997, 1996, 3194, 1998, 2129, 2009, 14623, 2000, 4613, 1012, 2009, 1521, 1055, 5514, 2000, 6149, 1010, 5514, 2000, 2275, 2039, 1998, 2009, 6753, 2385, 1011, 2978, 5813, 5746, 9199, 2000, 2062, 6464, 21376, 1996, 2434, 4471, 2004, 2376, 1012, 1524, 2116, 3793, 1011, 2000, 1011, 4613, 3001, 2024, 2881, 2005, 7026, 1998, 8821, 2147, 2986, 2005, 5746, 25834, 2478, 1022, 1011, 2978, 5813, 1012, 2012, 3807, 1996, 2978, 5813, 1010, 1996, 8840, 4226, 15482, 2291, 7687, 3640, 2521, 2062, 2592, 1999, 1996, 2168, 14704, 1997, 20235, 2000, 21376, 2376, 2012, 2521, 3618, 3737, 1012, 1523, 1022, 1011, 2978, 5813, 2003, 3432, 13990, 2005, 2440, 1011, 2846, 5746, 2012, 1037, 4334, 2030, 3902, 2276, 1010, 1524, 2794, 20996, 16671, 9910, 1012, 1523, 2256, 4672, 13420, 3669, 5856, 8553, 2003, 6551, 9412, 2007, 2385, 1011, 2978, 5813, 9199, 1012, 1996, 3737, 2003, 2172, 2488, 2138, 2057, 2064, 14171, 1996, 3815, 1997, 2951, 2057, 2024, 5128, 2046, 1996, 2376, 2057, 2024, 11058, 1012, 1524, 1996, 5746, 5783, 1996, 12997, 2897, 6502, 2008, 4627, 2007, 1996, 7809, 3001, 1998, 1996, 8840, 4226, 15482, 3194, 8908, 15834, 2000, 1996, 5746, 4353, 1010, 6364, 1998, 2377, 5833, 2012, 2169, 3295, 1012, 1996, 3793, 1011, 2000, 1011, 4613, 2832, 7137, 1037, 11333, 2615, 5371, 2008, 2003, 4991, 2000, 23378, 2005, 4773, 4353, 4372, 2799, 2000, 1037, 22466, 2595, 4654, 21422, 2121, 2531, 12997, 21933, 4063, 1012, 1996, 4654, 21422, 2545, 2024, 12997, 1011, 4769, 3085, 1010, 1998, 23378, 6764, 2024, 2741, 2000, 2028, 2030, 2062, 5733, 4137, 2000, 2169, 3563, 4471, 1012, 3227, 4092, 1010, 2045, 2003, 2028, 4654, 21422, 2121, 2012, 2169, 3295, 2000, 4374, 1996, 9199, 1012, 2169, 21933, 5732, 5460, 2003, 2979, 2000, 1996, 2334, 5746, 6364, 2291, 2077, 2652, 2041, 2058, 1996, 2276, 6643, 2291, 1012, 1006, 1996, 3793, 2544, 1997, 1996, 2168, 4471, 2003, 7453, 6913, 2006, 3518, 5751, 1010, 2437, 2009, 15262, 1011, 24577, 1025, 1998, 2036, 6866, 2000, 1996, 19193, 6671, 4773, 2609, 1012, 1007, 20996, 16671, 9910, 2034, 3603, 22466, 2595, 2083, 2010, 2147, 2007, 19460, 1010, 2029, 5246, 2067, 3053, 1037, 5476, 2043, 1996, 2048, 8678, 2006, 4613, 4245, 2291, 2005, 1037, 2047, 4334, 4651, 2276, 1999, 10819, 4887, 7874, 1010, 1050, 1012, 1046, 1012, 1010, 2074, 2148, 1997, 2047, 2259, 2103, 1012, 19460, 1521, 1055, 3325, 2007, 22466, 2595, 2036, 5246, 2067, 2195, 2086, 1010, 2164, 4773, 18414, 3489, 8758, 5097, 2073, 2010, 7846, 2052, 2224, 22466, 2595, 17181, 5733, 2000, 5460, 2189, 2058, 1996, 4773, 1012, 1523, 22466, 2595, 2435, 19193, 6671, 2119, 1037, 2200, 2204, 3976, 2391, 2005, 5746, 4353, 2004, 2092, 2019, 10132, 2565, 24088, 3482, 2008, 2064, 2224, 2367, 3813, 8059, 2000, 3857, 7661, 15380, 1010, 1524, 2056, 19460, 1012, 1523, 2027, 2064, 2391, 2023, 3482, 1999, 2367, 7826, 2005, 2367, 3136, 1012, 2057, 2641, 2060, 12997, 6959, 3001, 2021, 2027, 2052, 2031, 2042, 2062, 6450, 1998, 2062, 3697, 2000, 7661, 4697, 1998, 2689, 1012, 1524, 1996, 22466, 2595, 4654, 21422, 2545, 21933, 3207, 1998, 3413, 1996, 5746, 2000, 1996, 9324, 1997, 7386, 2319, 2189, 2177, 3688, 1012, 1996, 2034, 2644, 2003, 1037, 18667, 2015, 2414, 14154, 1011, 8148, 2186, 1006, 2030, 2414, 14154, 2186, 1007, 3131, 2005, 3617, 4742, 6364, 1012, 17093, 5005, 9430, 2003, 4846, 2000, 8073, 14171, 25674, 2241, 2006, 1996, 2504, 1997, 4281, 5005, 2105, 1996, 2334, 4334, 4132, 1012, 2013, 2045, 1996, 5746, 2003, 3724, 2046, 4410, 14931, 2015, 2186, 2373, 28633, 1010, 2007, 6377, 4410, 2149, 2361, 2509, 28315, 5329, 2000, 5587, 12997, 4454, 1012, 1046, 16558, 5189, 13102, 25508, 2545, 2024, 5361, 2296, 2184, 2000, 2321, 2519, 2247, 1996, 7248, 1012, 1996, 3438, 1011, 15231, 7492, 2954, 1996, 2614, 1997, 7937, 7830, 1010, 2029, 2064, 2022, 2004, 2152, 2004, 9800, 11703, 20755, 4877, 2012, 1996, 2276, 1012, 1996, 5257, 1997, 1996, 17093, 5005, 9430, 1999, 1996, 18667, 2015, 3131, 1998, 1996, 2373, 1997, 1996, 1046, 16558, 7492, 3499, 1996, 2270, 4769, 2291, 2000, 2663, 1996, 2645, 1012, 1523, 1996, 2291, 2003, 16984, 2061, 2008, 1996, 6643, 4332, 2993, 2091, 2043, 2045, 2024, 2053, 4499, 1999, 1996, 2276, 1010, 1524, 2056, 19460, 1012, 1523, 2043, 1037, 5189, 8098, 9372, 2083, 1010, 1996, 5360, 7492, 8073, 5333, 1996, 3872, 1012, 2023, 18536, 13420, 3669, 5856, 8553, 2053, 3043, 2054, 2003, 6230, 2006, 1996, 4132, 1012, 1524, 20996, 16671, 9910, 2056, 2008, 2096, 2028, 4654, 21422, 2121, 2003, 5214, 1997, 3529, 3674, 10019, 1010, 2002, 24273, 2000, 16500, 2028, 2005, 2296, 4224, 2030, 4132, 1999, 3071, 2276, 1012, 2005, 2742, 1010, 2314, 2240, 2422, 4334, 2326, 2038, 2538, 3703, 1025, 2747, 1010, 2008, 2291, 2038, 2538, 4654, 21422, 2545, 1010, 2028, 2005, 2169, 2276, 1999, 1996, 2291, 1012, 1523, 2057, 2641, 13131, 2572, 2595, 4007, 2000, 23911, 2169, 8874, 2000, 1037, 3295, 1010, 2021, 2008, 4150, 4895, 9148, 14273, 2100, 1998, 2051, 1011, 15077, 2000, 2832, 1010, 1524, 2056, 20996, 16671, 9910, 1012, 1523, 1996, 8840, 4226, 15482, 1011, 2000, 1011, 22466, 2595, 5537, 4107, 2200, 2659, 2397, 9407, 1012, 1996, 7696, 2175, 3442, 2000, 1996, 4654, 21422, 2121, 1012, 2061, 1996, 2933, 2003, 2000, 2224, 2019, 3265, 4654, 21422, 2121, 2005, 2169, 3558, 5746, 4224, 2008, 2003, 4909, 1998, 2652, 2041, 2592, 1012, 1524, 12256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 26044, 1998, 20368, 2006, 16561, 1996, 9615, 1997, 10047, 2386, 16284, 26044, 1006, 26423, 1516, 13140, 1007, 2003, 2411, 22085, 2007, 2008, 1997, 2585, 20368, 1006, 28455, 1516, 13963, 1007, 1012, 20368, 1005, 1055, 4118, 1997, 7191, 4695, 2003, 6388, 1998, 17537, 1025, 26044, 20618, 1996, 13185, 1997, 2598, 2075, 16561, 1999, 1037, 3188, 2072, 6481, 1012, 20368, 2758, 2008, 3114, 2003, 7919, 1037, 1523, 6658, 2000, 1996, 25289, 1010, 1524, 2096, 26044, 7888, 16561, 1999, 2010, 13120, 1997, 1037, 3114, 2008, 2003, 6742, 1999, 2993, 1012, 20368, 14847, 2107, 5346, 2004, 3841, 6777, 9890, 5897, 1998, 26161, 2004, 5372, 7191, 14354, 2015, 1025, 26044, 5927, 1996, 15793, 1997, 4611, 1517, 1037, 15793, 2008, 20368, 2788, 5328, 2004, 1037, 2117, 2190, 2030, 2991, 2067, 15793, 1517, 2004, 20640, 14026, 2019, 4005, 1005, 1055, 8426, 2000, 16561, 1998, 2947, 2004, 16636, 2075, 1037, 2569, 7191, 4276, 2000, 4506, 1012, 2348, 2045, 2024, 2116, 2685, 2012, 2029, 26044, 1005, 1055, 1998, 20368, 1005, 1055, 9615, 3233, 1999, 4559, 2000, 2169, 2060, 1010, 2045, 2024, 2036, 2590, 7264, 2090, 1996, 2048, 1012, 26044, 4207, 2070, 2590, 17568, 2055, 16561, 1998, 14354, 2007, 20368, 1010, 1998, 2018, 1010, 2220, 1999, 2010, 2476, 1010, 2042, 6296, 2000, 1998, 5105, 2011, 1996, 23069, 2964, 1997, 20368, 1998, 2060, 2329, 7191, 5130, 1012, 1996, 6614, 1997, 2023, 9491, 2003, 2025, 2000, 12826, 20368, 1998, 26044, 2006, 2035, 5609, 12962, 1012, 2612, 1010, 2057, 11628, 2195, 3145, 2752, 1997, 9615, 1999, 2029, 2057, 2064, 16286, 2156, 26044, 2004, 14120, 2000, 2030, 5105, 2011, 20368, 1010, 2030, 1999, 2029, 18539, 2090, 2037, 8106, 2024, 3391, 5875, 1012, 2045, 2003, 2062, 2182, 2055, 26044, 2084, 20368, 2021, 2057, 2421, 13080, 1997, 2116, 1997, 2169, 9667, 1005, 1055, 2590, 9918, 2061, 2008, 1996, 8068, 2064, 2191, 18539, 2841, 1012, 20368, 1005, 1055, 2364, 12962, 7896, 2024, 2000, 2022, 2179, 1999, 1037, 15326, 2006, 2529, 3267, 1006, 25801, 1516, 2871, 1007, 1010, 2926, 2808, 2048, 1998, 2093, 1010, 1998, 1999, 2019, 4372, 15549, 2854, 7175, 1996, 6481, 1997, 25288, 1006, 24440, 1007, 1012, 2036, 7882, 2000, 20368, 1005, 1055, 9615, 2024, 2536, 8927, 1010, 2107, 2004, 1523, 1997, 5920, 1524, 1006, 16144, 1007, 1010, 3033, 1997, 2019, 4372, 15549, 2854, 7175, 2529, 4824, 1006, 24445, 1007, 1010, 1998, 2010, 22580, 7175, 3019, 4676, 1006, 17616, 1007, 1012, 26044, 1005, 1055, 2364, 2573, 2006, 9615, 1010, 11866, 2641, 1010, 2024, 1996, 2598, 6198, 1997, 1996, 18804, 15638, 1997, 25288, 1006, 17262, 1007, 1010, 1996, 16218, 1997, 6742, 3114, 1006, 15622, 1007, 1010, 1998, 1996, 18804, 15638, 1997, 25288, 1006, 14112, 1007, 1010, 2029, 3397, 2119, 1523, 1996, 8998, 1997, 2157, 1524, 1998, 1523, 1996, 8998, 1997, 11870, 1012, 1524, 2060, 2573, 1997, 5197, 2000, 26044, 1005, 1055, 7191, 4695, 2421, 1996, 16218, 1997, 1996, 2373, 1997, 8689, 1006, 13393, 1007, 1010, 4676, 2306, 1996, 7372, 1997, 8210, 3114, 1006, 12387, 1007, 1010, 1998, 12795, 2013, 1037, 10975, 8490, 12644, 2391, 1997, 3193, 1006, 13036, 1007, 1010, 1999, 2804, 2000, 3076, 3964, 2006, 8921, 26044, 2435, 2006, 9615, 1998, 2536, 8927, 2006, 2381, 1998, 2576, 4695, 1010, 2107, 2004, 1523, 22647, 2015, 2006, 1996, 2927, 1997, 2529, 2381, 1524, 1006, 17436, 1007, 1998, 1523, 2646, 18870, 3521, 1524, 1006, 13397, 1007, 1012, 1999, 3522, 2086, 1010, 1037, 2193, 1997, 7882, 3905, 2573, 2031, 2042, 2405, 1998, 2009, 2003, 4276, 20655, 1037, 2261, 2182, 1012, 3383, 1996, 2087, 3278, 2047, 24039, 2006, 20368, 1005, 1055, 9615, 2003, 5586, 2522, 8747, 1010, 20368, 1005, 1055, 16561, 1024, 3110, 1998, 25884, 1012, 2348, 26044, 1005, 1055, 3433, 2000, 20368, 2003, 2025, 8280, 1999, 2009, 1010, 2522, 8747, 1005, 1055, 2338, 2038, 2042, 3811, 5868, 1998, 2172, 6936, 1024, 2151, 10439, 14995, 12002, 1997, 20368, 1005, 1055, 7191, 3399, 2323, 5136, 2049, 15931, 1998, 9918, 1012, 2426, 1996, 2116, 2573, 2006, 26044, 1005, 1055, 9615, 2000, 12636, 1999, 3522, 2086, 1010, 2957, 23680, 23871, 1010, 26044, 1005, 1055, 3399, 1997, 2895, 1010, 17210, 2569, 5254, 2138, 1997, 2049, 3579, 2006, 1996, 29081, 10100, 1997, 26044, 1005, 1055, 7191, 4695, 1012, 2703, 3124, 2121, 4247, 2000, 3972, 3170, 3686, 3278, 2685, 1997, 2691, 23732, 1998, 4489, 2090, 20368, 1998, 26044, 1010, 2007, 3327, 7902, 2006, 1996, 13352, 2140, 3802, 20569, 1997, 7191, 2895, 1999, 26044, 1005, 1055, 9615, 1012, 2156, 1010, 2005, 2742, 1010, 1523, 7191, 5346, 1999, 1996, 18804, 15638, 1997, 25288, 1524, 1012, 2348, 1996, 7191, 6316, 19137, 21850, 2229, 1997, 20368, 1998, 26044, 2024, 2025, 3495, 8280, 1999, 2009, 1010, 2888, 10786, 1010, 7661, 1998, 3114, 1999, 20368, 1024, 1037, 26044, 2937, 3752, 1997, 1996, 2034, 2338, 1997, 1996, 1520, 15326, 1521, 2003, 2019, 4297, 17417, 3726, 1010, 2590, 2147, 1012, 10786, 1005, 1055, 4106, 1997, 2338, 1045, 1997, 1996, 15326, 2003, 13026, 1010, 5026, 2041, 2049, 11778, 1998, 3278, 20828, 1025, 2021, 2009, 2003, 2036, 4187, 1010, 15440, 1037, 26044, 2937, 7339, 2000, 12944, 21775, 1999, 20368, 1005, 1055, 3921, 1012, 2247, 1996, 2126, 1010, 10786, 5665, 12717, 12556, 2015, 1998, 22963, 8050, 5919, 1997, 1996, 9373, 6316, 19137, 21850, 2229, 1997, 20368, 1998, 26044, 1010, 2926, 2037, 4275, 1997, 26497, 1012, 2633, 1010, 6702, 2462, 1998, 3523, 1997, 22677, 17514, 1005, 1055, 12720, 1998, 23949, 2147, 1010, 1996, 2458, 1997, 9615, 1024, 1037, 3439, 1998, 4187, 2817, 1010, 3397, 2195, 9159, 7422, 2000, 1996, 7191, 6316, 19137, 21850, 2229, 1997, 20368, 1998, 26044, 14258, 1010, 2004, 2092, 2004, 2116, 12369, 3993, 10287, 1997, 2037, 5328, 1998, 9918, 1999, 7189, 2000, 2169, 2060, 1005, 1055, 1006, 1998, 2000, 2060, 17586, 1005, 1007, 1012, 1011, 1015, 1012, 4766, 19184, 1997, 26044, 1005, 1055, 9615, 1011, 1016, 1012, 4766, 19184, 1997, 20368, 1005, 1055, 9615, 1011, 1017, 1012, 20368, 1005, 1055, 3747, 1011, 1018, 1012, 23069, 2964, 1005, 1055, 3747, 1998, 1996, 3291, 1997, 14987, 1011, 1019, 1012, 4071, 1997, 1996, 2097, 1011, 1020, 1012, 3114, 1998, 14354, 1011, 1021, 1012, 21560, 1998, 3580, 2015, 1011, 1022, 1012, 4676, 1998, 16561, 1011, 3834, 5906, 1024, 1011, 3834, 5906, 1011, 2060, 4274, 4219, 1011, 3141, 10445, 2348, 26044, 1005, 1055, 9615, 2024, 6936, 1999, 7189, 2000, 20368, 1005, 1055, 9615, 2005, 2172, 1997, 2023, 3538, 1010, 2057, 4088, 2007, 2274, 2590, 2838, 1997, 26044, 1005, 1055, 9677, 7191, 4695, 1012, 2034, 1010, 26044, 3182, 2569, 5197, 2006, 1996, 1037, 3188, 2072, 2030, 1523, 5760, 1524, 2112, 1997, 7191, 4695, 1012, 1999, 26044, 1005, 1055, 20692, 6024, 9615, 1999, 1996, 18804, 15638, 1997, 25288, 1998, 8921, 2006, 9615, 1010, 26044, 9891, 4600, 2006, 9420, 1998, 4784, 2055, 2529, 3267, 1012, 2021, 2119, 1999, 2010, 20692, 6024, 2573, 1998, 1999, 2010, 3192, 2389, 2147, 1010, 1996, 2598, 6198, 1997, 1996, 18804, 15638, 1997, 25288, 1010, 26044, 3084, 13216, 2008, 1996, 4259, 7191, 6958, 2993, 2442, 2022, 3603, 1037, 3188, 2072, 1010, 2083, 1037, 4118, 1997, 5760, 7191, 4695, 1006, 1043, 1018, 1024, 4229, 2581, 1516, 6227, 1007, 1012, 2011, 1523, 5760, 1524, 2030, 1523, 1037, 3188, 2072, 1524, 7191, 4695, 1010, 26044, 2038, 1999, 2568, 1037, 4695, 16764, 7580, 2006, 6481, 2008, 2024, 16112, 1999, 1998, 3936, 2083, 1996, 3136, 1997, 3114, 1012, 2023, 4066, 1997, 7191, 4695, 23347, 2007, 17537, 7191, 4695, 1010, 2029, 2003, 16764, 1999, 1037, 15219, 2072, 6481, 1010, 6481, 1999, 7512, 5596, 2083, 8089, 2030, 3325, 1012, 2096, 17537, 7191, 4695, 1010, 2029, 26044, 4455, 7191, 12795, 1010, 2064, 2425, 2149, 2129, 2111, 2079, 2552, 1010, 2009, 3685, 1010, 26044, 4447, 1010, 2425, 2149, 2129, 2057, 11276, 2000, 2552, 1012, 1998, 2054, 2057, 2215, 2000, 2424, 1010, 2043, 2057, 2024, 6224, 1996, 4259, 7191, 6958, 1010, 2003, 2025, 1037, 22726, 6958, 1010, 2021, 1996, 2087, 8050, 1010, 23949, 20692, 6024, 6958, 1012, 2429, 2000, 26044, 1010, 16561, 1005, 1055, 10954, 2024, 4895, 8663, 27064, 1012, 2057, 2071, 2196, 7523, 1037, 6958, 2008, 10954, 2035, 11581, 9552, 2007, 2107, 7619, 3691, 2083, 1037, 4118, 1997, 17537, 7191, 4695, 1025, 2057, 2442, 2224, 1996, 1037, 3188, 2072, 4118, 1012, 9308, 1010, 2057, 2442, 2562, 1996, 5760, 1998, 17537, 3033, 1997, 7191, 4695, 4415, 5182, 1010, 2144, 2065, 2057, 2079, 2025, 2057, 2071, 2424, 9731, 16801, 18462, 23019, 1010, 2107, 2004, 2054, 2003, 10975, 12672, 19909, 2135, 2204, 2005, 3056, 3633, 2030, 2427, 1010, 2007, 4895, 8663, 27064, 23019, 2055, 8050, 7191, 5918, 1006, 1043, 1018, 1024, 4229, 2683, 1516, 3938, 1007, 1012, 2320, 2028, 2038, 1999, 2192, 1996, 4259, 6958, 1997, 16561, 1010, 2174, 1010, 2028, 5942, 2019, 4824, 1997, 2529, 9552, 1999, 2344, 2000, 6611, 2009, 2000, 2068, 1006, 3461, 1020, 1024, 20335, 1007, 1012, 2028, 2064, 2360, 2210, 2055, 2054, 1996, 4259, 7191, 6958, 5942, 2004, 5704, 2529, 6074, 2031, 2000, 3209, 1998, 2000, 2028, 2178, 2302, 4209, 2107, 2477, 2004, 1996, 11901, 1997, 4515, 2111, 2089, 2022, 13050, 2000, 11092, 1998, 1996, 3785, 2104, 2029, 2529, 4034, 2097, 8281, 3973, 25220, 2030, 2007, 2121, 1012, 2117, 1010, 26044, 1005, 1055, 9366, 1997, 12645, 2003, 2028, 1997, 1996, 2062, 2430, 1010, 8200, 1010, 1998, 6383, 5919, 1997, 2010, 9615, 1012, 26044, 11859, 12645, 16552, 2004, 1523, 1996, 3200, 1997, 1996, 2097, 2011, 2029, 2009, 2003, 1037, 2375, 2000, 2993, 1006, 9174, 1997, 2151, 3200, 1997, 1996, 5200, 1997, 5285, 22753, 1007, 1524, 1006, 1043, 1018, 1024, 17422, 1007, 1012, 2429, 2000, 26044, 1010, 1996, 2097, 1997, 1037, 7191, 4005, 2003, 8392, 1999, 2008, 2009, 2119, 3957, 2993, 1996, 7191, 2375, 1006, 2009, 2003, 2969, 1011, 4190, 2483, 22248, 1007, 1998, 2064, 9530, 20528, 2378, 2030, 9587, 29068, 3686, 2993, 2000, 3582, 1996, 2375, 1006, 2009, 2003, 2969, 1011, 9530, 20528, 24002, 2030, 2969, 1011, 9587, 29068, 5844, 1007, 1012, 1996, 3120, 1997, 1996, 7191, 2375, 2003, 2025, 1999, 1996, 4005, 1005, 1055, 5346, 1010, 3019, 14982, 2015, 2030, 21970, 2015, 1010, 2021, 1999, 2014, 5760, 1010, 11581, 2097, 2030, 2053, 27417, 2389, 2969, 1010, 2029, 26044, 14847, 2004, 1996, 1523, 5372, 2969, 1524, 1006, 1043, 1018, 1024, 4805, 2487, 1007, 1012, 21770, 26534, 19506, 2271, 17234, 1010, 2006, 1996, 2060, 2192, 1010, 2024, 9950, 2011, 2070, 6327, 2486, 2030, 3691, 1517, 2008, 2003, 1010, 2011, 2242, 2060, 2084, 1037, 2969, 1011, 2445, 2375, 1997, 3114, 1012, 26044, 15980, 2008, 2035, 2512, 28600, 2319, 4176, 1010, 2005, 2742, 1010, 2024, 21770, 26534, 19506, 2271, 1010, 2037, 17234, 9950, 2011, 3267, 2083, 2037, 16160, 1010, 14982, 2015, 1010, 1998, 17537, 14714, 1006, 1043, 1018, 1024, 4008, 2549, 1010, 18133, 12171, 1019, 1024, 6079, 1007, 1012, 2009, 2097, 2022, 2590, 1999, 10439, 2890, 7405, 3436, 26044, 1005, 1055, 3433, 2000, 20368, 2000, 3602, 2008, 1010, 2012, 2560, 1999, 2010, 9677, 4695, 1010, 26044, 12362, 2035, 7191, 8106, 3188, 2000, 2010, 2004, 7989, 2000, 4863, 1996, 4937, 27203, 3267, 1997, 7191, 14987, 1998, 2000, 2396, 24153, 1037, 4259, 7191, 6958, 2008, 2071, 5425, 1996, 4937, 27203, 3267, 1997, 16561, 1010, 2138, 2216, 3025, 7191, 8106, 2018, 4445, 3858, 7191, 6074, 2004, 8392, 1999, 26044, 1005, 1055, 3168, 1010, 4496, 3858, 2008, 1996, 4259, 7191, 6958, 2442, 2022, 2969, 1011, 4190, 2483, 13776, 1006, 12849, 2869, 18839, 2727, 2497, 1010, 3536, 2384, 2497, 1010, 8040, 7295, 4402, 11101, 2268, 1007, 1012, 2429, 2000, 26044, 1010, 2069, 8392, 6094, 2064, 10750, 1037, 4937, 27203, 23934, 1025, 6168, 21770, 26534, 19506, 2271, 6094, 2064, 10750, 2069, 25613, 23934, 2015, 1012, 26044, 6367, 2005, 2037, 11213, 1997, 21770, 26534, 16940, 2035, 8106, 2008, 2284, 1996, 2598, 1997, 7191, 14987, 2030, 1997, 5372, 7191, 14354, 1999, 2107, 2477, 2004, 2969, 1011, 2293, 1010, 11883, 1010, 1998, 3571, 1997, 7746, 7750, 2030, 3246, 2005, 7746, 10377, 1006, 1043, 1018, 1024, 28015, 1516, 4008, 1025, 18133, 12171, 1019, 1024, 4464, 1516, 4601, 1007, 1012, 2009, 2003, 2036, 4276, 15103, 2008, 1999, 2804, 2000, 26044, 1005, 1055, 7851, 2035, 7191, 6074, 2004, 8392, 1006, 1999, 2008, 2027, 2024, 2969, 1011, 4190, 2483, 22248, 1998, 2031, 1996, 3977, 2000, 2552, 2157, 2135, 2083, 2037, 2219, 2969, 1011, 27142, 1007, 1010, 26044, 2823, 5577, 2004, 8392, 3971, 1997, 3772, 2008, 5382, 1996, 3732, 3977, 1517, 1998, 2004, 21770, 26534, 19506, 2271, 3971, 1997, 3772, 2008, 8246, 2000, 2079, 2061, 1006, 1043, 1018, 1024, 17422, 1516, 4601, 1010, 4008, 2549, 1025, 18133, 12171, 1019, 1024, 2756, 1010, 4724, 1010, 6275, 1007, 1012, 6074, 2040, 2024, 8392, 1999, 1996, 3168, 1997, 2108, 2969, 1011, 4190, 2483, 22248, 2079, 2025, 10862, 2552, 2157, 2135, 2349, 3432, 2000, 2037, 8426, 2000, 16561, 1025, 2009, 2003, 2008, 3732, 2126, 1997, 3772 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8201, 17710, 3363, 3678, 1010, 3559, 1997, 3019, 2188, 1998, 3871, 2932, 1010, 6661, 2093, 10032, 3096, 2729, 3688, 2008, 2097, 2393, 4652, 7683, 6017, 1998, 2562, 2115, 3336, 7579, 3730, 1998, 5744, 1012, 1045, 3728, 2363, 1037, 6100, 1997, 1996, 2047, 2338, 1998, 10032, 3485, 6730, 10032, 2013, 3166, 5754, 2072, 4830, 11314, 2121, 1012, 1045, 2001, 16082, 2043, 5754, 2072, 3530, 2000, 4113, 2695, 2023, 2733, 2005, 1996, 9927, 2006, 2054, 3084, 1037, 6730, 10032, 1012, 1996, 2204, 28582, 1010, 1037, 4037, 1998, 18059, 4646, 1010, 4107, 10390, 7721, 4391, 1997, 1996, 2740, 1010, 4483, 1998, 2591, 14670, 1997, 2062, 2084, 4293, 1010, 2199, 3688, 1012, 1999, 1996, 2353, 1999, 1037, 2186, 2006, 4022, 29090, 2015, 1998, 12141, 2000, 4468, 2076, 10032, 1010, 3019, 2188, 1004, 3871, 3559, 8201, 17710, 3363, 3678, 15841, 1996, 16796, 3378, 2007, 2224, 1997, 2128, 25690, 2140, 1999, 3096, 2729, 3688, 1012, 7637, 8310, 1997, 12141, 2024, 3391, 17631, 2000, 4975, 10834, 1010, 2029, 2965, 5987, 4630, 10756, 2323, 2022, 6176, 1012, 1999, 1996, 2034, 2695, 1997, 1037, 2186, 1010, 8201, 17710, 3363, 3678, 7009, 2055, 1996, 16796, 1997, 17531, 2050, 1998, 2129, 2000, 4468, 1996, 5072, 1012, 14403, 9905, 6610, 1521, 1055, 3296, 15516, 1997, 2665, 28556, 2075, 2817, 4858, 2008, 5345, 3867, 1997, 1996, 3688, 6815, 2000, 2022, 2665, 2031, 2109, 13727, 2653, 1010, 4895, 21572, 8159, 4447, 1998, 6270, 10618, 10873, 1012, 1999, 1996, 2117, 1999, 1037, 2186, 2006, 12141, 2000, 4468, 2076, 10032, 1010, 8201, 15841, 2339, 1998, 2129, 2000, 4652, 4795, 20739, 22698, 1998, 12810, 22698, 2013, 5738, 2256, 4230, 1998, 5014, 1012, 1037, 2047, 5473, 5344, 4895, 10280, 10834, 1998, 2336, 1010, 2004, 7524, 2000, 20739, 22698, 7457, 1996, 3891, 1997, 4167, 21434, 1998, 2060, 4456, 1011, 3141, 24757, 1012, 2026, 2171, 2003, 9865, 7585, 1010, 1998, 1045, 2572, 1037, 2047, 28205, 2182, 2012, 2388, 3011, 2739, 1012, 2077, 1045, 2064, 9927, 2026, 10032, 4990, 2005, 2017, 2035, 1010, 1045, 2442, 2034, 2079, 2242, 2008, 2038, 2579, 2416, 2086, 1012, 1012, 1012, 4339, 1996, 4182, 2466, 1997, 2026, 2365, 3016, 4115, 1012, 2255, 1020, 1010, 2230, 1010, 2012, 2340, 1024, 5840, 2572, 1045, 2056, 1996, 2093, 2616, 1045, 4741, 2058, 2176, 1998, 1037, 2431, 2086, 2000, 2360, 1012, 1045, 2246, 1999, 2000, 2026, 20662, 2684, 1521, 1055, 2159, 1998, 2056, 1045, 2106, 2009, 999, 2023, 2003, 1996, 1058, 3676, 2278, 2188, 17706, 2705, 2466, 1997, 2026, 2684, 9340, 12439, 3981, 1012, 4841, 1041, 16211, 2618, 3688, 2081, 1999, 1996, 3915, 2007, 15169, 1998, 2411, 5454, 2137, 1011, 2081, 3688, 2058, 2060, 7047, 1010, 1037, 2817, 4858, 1012, 3019, 2188, 3559, 1011, 1999, 1011, 2708, 28047, 24665, 8004, 5620, 5623, 6661, 2054, 2016, 1005, 1055, 4342, 2055, 1996, 7860, 1997, 3742, 5155, 17338, 1011, 5379, 3688, 2008, 3113, 2256, 2219, 7823, 9181, 1012, 1037, 2047, 2817, 3065, 2008, 2111, 2040, 4965, 2665, 3688, 2024, 2062, 3497, 2000, 21910, 1998, 8954, 2084, 2111, 2040, 4965, 7511, 3688, 1012, 4539, 2417, 4497, 4107, 11320, 5802, 26818, 1521, 4189, 3119, 15357, 8641, 2000, 2393, 3857, 2488, 3268, 2005, 14077, 2015, 1999, 4643, 4021, 1998, 2203, 2529, 11626, 1012, 2019, 7554, 6557, 1998, 12121, 2303, 10005, 3632, 1037, 2146, 2126, 2000, 2393, 15804, 10032, 2067, 3255, 1012, 3019, 2188, 3559, 1011, 1999, 1011, 2708, 28047, 24665, 8004, 5620, 5623, 4858, 2178, 2307, 3114, 2000, 27427, 5313, 3351, 2841, 1999, 13642, 2850, 3688, 1024, 13642, 2850, 2003, 1996, 2088, 1521, 1055, 2034, 5053, 2194, 2000, 4374, 2751, 18293, 2000, 18293, 27447, 1012, 25193, 12155, 4747, 5172, 1012, 4012, 3084, 9715, 6023, 6082, 2011, 4855, 1037, 3528, 1997, 2665, 4398, 3688, 1998, 4189, 3119, 5167, 2013, 2105, 1996, 2088, 1012, 2019, 4955, 2000, 2026, 2783, 10032, 2007, 3336, 1001, 1017, 1998, 3488, 2005, 1037, 2117, 2188, 17706, 2705, 1012, 4751, 1997, 2026, 5066, 3204, 1998, 4301, 2006, 1996, 5907, 1997, 2256, 3336, 1012, 3019, 2188, 2932, 3559, 1011, 1999, 1011, 2708, 28047, 24665, 8004, 5620, 5623, 13999, 2014, 2047, 9927, 1010, 3019, 2188, 2542, 1010, 1998, 6661, 2673, 2017, 2342, 2000, 2113, 2055, 2183, 2665, 1012, 3019, 2188, 2542, 7679, 2006, 10739, 2115, 2665, 2188, 3980, 1010, 2206, 2665, 2311, 2739, 1998, 4760, 2017, 2129, 2000, 3828, 2769, 2011, 2183, 2665, 1012, 28774, 8490, 7389, 1010, 1996, 3842, 1521, 1055, 2877, 7751, 1997, 2986, 15216, 2723, 2075, 1010, 9320, 1010, 2310, 19755, 1998, 2147, 25181, 1010, 2651, 3107, 1037, 2047, 4031, 2240, 1517, 27274, 1024, 1037, 2047, 4245, 1999, 15216, 2723, 2075, 1012, 2192, 1011, 1041, 1011, 15913, 1010, 1996, 6429, 9474, 8803, 2192, 2843, 3258, 1010, 2003, 2085, 1996, 8285, 15893, 1521, 1055, 2190, 6994, 1012, 2009, 2003, 4162, 2066, 6623, 2192, 2843, 3258, 2021, 2515, 2061, 2172, 2062, 1012, 1999, 3433, 2000, 2197, 2733, 1521, 1055, 2695, 1010, 2057, 2363, 1037, 3661, 4851, 2339, 1996, 3224, 3688, 3068, 2052, 2022, 2641, 1037, 1523, 22277, 1524, 2000, 2665, 3121, 1012, 1523, 1045, 2064, 3305, 2339, 26166, 1998, 8877, 2987, 1521, 1056, 2191, 3168, 1010, 2021, 4995, 1521, 1056, 3536, 3688, 3599, 1996, 2785, 1997, 3430, 2008, 24209, 11475, 14213, 2004, 2665, 1029, 1524, 2023, 8068, 2356, 1012, 6065, 2099, 4781, 1998, 2969, 1011, 10618, 2031, 2419, 2000, 1037, 3006, 10361, 2007, 2943, 2732, 22449, 1517, 2116, 2007, 21068, 15644, 1012, 2024, 2057, 5621, 2437, 1037, 4164, 2098, 3947, 2000, 2507, 2039, 1996, 15106, 1997, 2309, 2224, 3688, 2030, 2003, 1996, 3218, 2061, 25540, 27361, 1999, 2256, 3226, 2057, 2064, 1005, 1056, 4019, 2049, 3896, 1029, 8194, 1521, 1055, 2003, 9186, 2049, 2240, 1997, 2878, 14045, 7216, 2833, 20672, 2007, 1037, 2047, 1010, 4845, 1011, 5379, 24857, 4031, 1024, 15941, 1521, 1055, 3888, 6097, 10464, 3490, 1004, 8808, 1010, 2081, 2007, 2531, 3867, 2613, 8808, 1998, 7378, 1011, 7554, 24857, 1999, 1037, 3528, 1997, 10466, 3794, 2166, 2006, 1996, 3888, 1012, 2066, 2035, 1997, 8194, 1521, 1055, 3688, 1010, 15941, 1521, 1055, 3888, 6097, 10464, 3490, 1004, 8808, 3397, 2053, 7976, 26389, 1010, 12553, 6087, 2030, 3653, 8043, 20203, 6961, 1012, 3019, 2188, 3559, 1011, 1999, 1011, 2708, 28047, 24665, 8004, 5620, 5623, 7607, 3259, 5016, 23729, 1011, 5215, 1005, 1055, 2047, 15169, 3343, 1012, 2065, 2017, 2145, 2215, 2000, 2079, 2673, 2017, 2064, 2000, 2191, 2115, 2188, 7965, 1517, 2005, 2115, 2155, 1998, 1996, 4774, 1517, 2202, 1037, 2298, 2012, 2129, 2017, 4550, 1012, 2066, 2009, 2030, 2025, 1010, 2057, 2031, 2000, 4550, 2256, 5014, 2006, 1037, 3180, 3978, 1012, 3019, 2188, 4107, 7167, 1997, 2307, 4784, 2005, 2437, 2115, 2219, 7965, 1010, 3019, 9344, 7300, 1517, 2030, 2298, 2000, 2070, 1997, 1996, 2307, 2665, 7300, 2085, 2800, 2012, 2115, 13025, 3573, 1012, 2943, 1011, 8822, 5733, 2180, 2502, 2012, 1996, 11006, 2099, 11721, 28682, 3034, 1999, 2047, 2259, 2103, 1012, 2013, 2225, 3088, 2000, 1996, 4549, 1010, 7390, 11216, 2424, 3514, 3846, 2019, 12990, 1010, 2665, 3430, 1012, 1996, 2976, 3119, 3222, 2038, 2623, 2008, 2070, 15216, 25123, 2024, 2941, 2081, 1997, 26810, 1012, 2176, 3316, 2031, 2042, 5338, 2007, 23123, 28847, 1998, 6475, 2037, 3688, 2004, 2081, 2013, 15216, 1012, 12385, 7853, 8623, 1010, 1996, 17277, 1997, 12090, 2531, 3867, 7554, 1010, 2512, 1011, 19345, 6310, 2740, 2833, 3688, 1010, 4247, 2000, 3362, 2648, 1997, 1996, 3482, 2000, 3073, 7965, 13109, 8528, 6534, 12586, 2015, 1998, 8434, 20631, 2008, 2024, 2025, 2069, 2204, 2005, 10390, 2021, 2024, 15184, 1998, 5510, 2307, 999, 3342, 2000, 2298, 2005, 2122, 3145, 2616, 2043, 9343, 2204, 1010, 2665, 9604, 1012, 1996, 3019, 4219, 3639, 2473, 9790, 2015, 1996, 17473, 2000, 2131, 13012, 20464, 8820, 2078, 1998, 13012, 20464, 24755, 28483, 2078, 1010, 12553, 18714, 1011, 23217, 2075, 12141, 2008, 2024, 2919, 2005, 2256, 2740, 1998, 1996, 4044, 1010, 2041, 1997, 3167, 1011, 2729, 3688, 1012, 3019, 2188, 3559, 1999, 2708, 28047, 24665, 8004, 5620, 5623, 15841, 1996, 4013, 2015, 1998, 9530, 2015, 1997, 2665, 7325, 2964, 1012, 2747, 2853, 2069, 1999, 2885, 1010, 1996, 11990, 2771, 16339, 2003, 1996, 2194, 1521, 1055, 2034, 3293, 20478, 4031, 2005, 4968, 2224, 1010, 5378, 6304, 1996, 7209, 1999, 10168, 9587, 9328, 7496, 1012, 4907, 9610, 8180, 3980, 1996, 2801, 2008, 4487, 13102, 8820, 3468, 5167, 2024, 4276, 1996, 14388, 5949, 2027, 3443, 1012, 1037, 3522, 2137, 2820, 1997, 8160, 1006, 9932, 2050, 1007, 2188, 2640, 12878, 5002, 2179, 2008, 5157, 2005, 9542, 3688, 2003, 14071, 2075, 1012, 1999, 5688, 1010, 8712, 2024, 3773, 2019, 3445, 7902, 2006, 2119, 23661, 1013, 5415, 2640, 1998, 13918, 4475, 1012, 7687, 1010, 2188, 12384, 2545, 2024, 11004, 2075, 2185, 2013, 6450, 1006, 1998, 2788, 14203, 1007, 3688, 2008, 5587, 2210, 5025, 3643, 2000, 2037, 2188, 1010, 16966, 2612, 2006, 2838, 2008, 5326, 2943, 8122, 1998, 15169, 1012, 2197, 2095, 1996, 4840, 4784, 2177, 10173, 1996, 2327, 7325, 12878, 2005, 2268, 1012, 2024, 2027, 12663, 2015, 2030, 2074, 2379, 1011, 19985, 1029, 2424, 2041, 1012, 7885, 1999, 2437, 2019, 2035, 3019, 2303, 18157, 1012, 2013, 25850, 24667, 1998, 2843, 3258, 2000, 3536, 3907, 1998, 12475, 20133, 1010, 2017, 1521, 2222, 2022, 4527, 2012, 2129, 2116, 2691, 4398, 3688, 5383, 9280, 17760, 12760, 1012, 2182, 1521, 1055, 2129, 2000, 6709, 3291, 3688, 1998, 2424, 1996, 2190, 15955, 2000, 4965, 1517, 2030, 3828, 1037, 2210, 2769, 2011, 2437, 2115, 2219, 1012, 3019, 3688, 2470, 3813, 16681, 3019, 2015, 16014, 2015, 4497, 7347, 2097, 2131, 7842, 2615, 10736, 1025, 8443, 2114, 12141, 1010, 2058, 1011, 14793, 1010, 13938, 2891, 1998, 4111, 18186, 1025, 1998, 4982, 2062, 1997, 2037, 2219, 2833, 1012, 1996, 5337, 25383, 18124, 4781, 2005, 12490, 3536, 2552, 21009, 7823, 5337, 25383, 18124, 15760, 4781, 2005, 4398, 3688, 2081, 2013, 12490, 3536, 1012, 2311, 28637, 2078, 1521, 1055, 2230, 2327, 2184, 2665, 2311, 3688, 2862, 2950, 1037, 2659, 1011, 4834, 11848, 1010, 12490, 5877, 2075, 1010, 1037, 2152, 1011, 4488, 2813, 2291, 1998, 2060, 3688, 2008, 27749, 2943, 1998, 4219, 1012, 1520, 22320, 1996, 2161, 2000, 4497, 2005, 2665, 9604, 1517, 2182, 1521, 1055, 2129, 1012, 2592, 2055, 2943, 1011, 8114, 12699, 6681, 1998, 12562, 3332, 13178, 1012, 2122, 2943, 1011, 8114, 22449, 1998, 3332, 13178, 2097, 3531, 25262, 9715, 10390, 1012, 2039, 5666, 20464, 2075, 2194, 14403, 23490, 2003, 27001, 2007, 10424, 9956, 8485, 2167, 2637, 2000, 2562, 2214, 11772, 8641, 2041, 1997, 28382, 2015, 1998, 2735, 2068, 2046, 2047, 7325, 3688, 1012, 5290, 1997, 5072, 7816, 2052, 2507, 1996, 19044, 1037, 2844, 2192, 1999, 2029, 3688, 2131, 2000, 10390, 1010, 1998, 1037, 2047, 4001, 3021, 6537, 5337, 25383, 18124, 3798, 1999, 12490, 3536, 3688, 1012, 1996, 5568, 27330, 2194, 2038, 3107, 1996, 2047, 2944, 1022, 11039, 2373, 24887, 11641, 10018, 1012, 3996, 3224, 3688, 1010, 2028, 1997, 1996, 3842, 1521, 1055, 2922, 23165, 8712, 1010, 8539, 10390, 2000, 2665, 1011, 2568, 8712, 1997, 5337, 25383, 18124, 1011, 2489, 3688, 2478, 2049, 5760, 11735, 2094, 8313, 8844, 2897, 1012, 2045, 2024, 5190, 1997, 7554, 3688, 2800, 2651, 1010, 1998, 2027, 1005, 2128, 2025, 3132, 2000, 2833, 1012, 2425, 2149, 2054, 2017, 4965, 7554, 1998, 2339, 1012, 4550, 2007, 21092, 2005, 1037, 11867, 2594, 1011, 1998, 1011, 8487, 2160, 1998, 2625, 1997, 1037, 14978, 1999, 1996, 2851, 999, 2017, 2064, 2224, 1996, 6544, 2000, 4840, 2368, 2115, 14533, 1010, 6366, 18282, 1998, 10256, 7974, 1010, 1998, 2130, 16360, 2884, 12883, 1012, 21092, 8563, 10327, 1998, 2852, 3111, 3154, 1998, 19255, 1011, 2489, 1010, 2437, 2009, 2019, 7812, 2804, 2000, 2115, 9344, 25337, 1012, 2088, 11253, 24146, 1012, 4012, 2011, 1041, 15907, 15187, 12962, 2135, 23184, 1998, 17338, 1011, 5379, 3688, 1012, 1996, 2184, 2111, 1005, 1055, 3601, 13527, 2024, 2307, 4973, 1997, 1996, 14286, 1998, 25262, 3625, 2449, 4177, 2008, 3113, 1996, 4781, 1997, 2665, 2637, 1521, 1055, 7744, 1997, 6226, 1012, 2665, 5821, 5344, 2047, 7040, 2013, 1996, 3027, 2278, 2005, 1996, 2034, 2051, 2144, 2687, 1012, 3019, 2188, 1521, 1055, 3559, 1011, 1999, 1011, 2708, 1010, 28047, 24665, 8004, 5620, 5623, 1010, 4136, 2062, 1999, 1523, 3027, 2278, 1521, 1055, 2047, 2665, 5821, 11594, 2175, 2044, 2665, 28556, 2545, 1012, 1524, 1048, 2290, 8139, 11521, 1037, 2047, 2943, 1011, 8114, 3953, 1011, 13184, 2099, 18097, 2012, 1996, 26420, 1004, 4874, 2542, 2640, 4538, 1999, 3000, 1012, 1996, 4031, 1010, 2029, 3594, 7399, 29329, 2974, 2000, 3828, 2943, 1010, 2001, 2315, 1996, 2190, 2742, 1997, 2019, 17338, 1011, 9610, 2278, 4031, 2012, 1996, 4538, 1012, 1996, 2976, 3119, 3222, 1521, 1055, 3818, 24699, 2000, 2049, 4483, 5821, 11594, 2052, 2191, 2009, 2062, 3697, 2005, 3006, 2545, 2000, 2191, 6270, 2665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8603, 1005, 18575, 3367, 11338, 2633, 3084, 1037, 2622, 2008, 3503, 2010, 3469, 1011, 2084, 1011, 2166, 6180, 1012, 9217, 12472, 1998, 2691, 11703, 11916, 1010, 22953, 3619, 18861, 2080, 7365, 2149, 2083, 1996, 2437, 1997, 2010, 2350, 3830, 2834, 1012, 3319, 1024, 4656, 28095, 1005, 1055, 1000, 1045, 2123, 1005, 1056, 2066, 4485, 1010, 1045, 2123, 1005, 1056, 2175, 2648, 1000, 9388, 2756, 1010, 2325, 2012, 6021, 1024, 4413, 9737, 2459, 1010, 24559, 5328, 4656, 28095, 1521, 1055, 1045, 2123, 1521, 1056, 2066, 4485, 1010, 1045, 2123, 1521, 1056, 2131, 2648, 2003, 1037, 2460, 1998, 14434, 2201, 1012, 2009, 2036, 6433, 2000, 2022, 1037, 2200, 4208, 1010, 3737, 4952, 1010, 1998, 4298, 1996, 2190, 6434, 2057, 1521, 2310, 2363, 2013, 1996, 2662, 3128, 1012, 2083, 26352, 7583, 1011, 2041, 2962, 2094, 9680, 2015, 1998, 10818, 3654, 6774, 10299, 1010, 4656, 16481, 2000, 2022, 2028, 1997, 1996, 2087, 10904, 1010, 12167, 14777, 1010, 28257, 1999, 1996, 2208, 1012, 5939, 10658, 2050, 1002, 16270, 1005, 1055, 16354, 2000, 8103, 3040, 1998, 18921, 27753, 5886, 1997, 29300, 22083, 2015, 2038, 2042, 1037, 16612, 2028, 1010, 2000, 1996, 2391, 2008, 1996, 2034, 2051, 4994, 2032, 2006, 2501, 2071, 8137, 21040, 2013, 2711, 2000, 2711, 1012, 1996, 3606, 2003, 1010, 2017, 2071, 2031, 2042, 4994, 5939, 1005, 1055, 2376, 1998, 2025, 2031, 2130, 2124, 2009, 1010, 2010, 3015, 2376, 2008, 2003, 1012, 4656, 28095, 1005, 1055, 23036, 4581, 2006, 1000, 1045, 2123, 1005, 1056, 2066, 4485, 1010, 1045, 2123, 1005, 1056, 2175, 2648, 1000, 9388, 2423, 1010, 2325, 2012, 2340, 1024, 2871, 3286, 2410, 1010, 6486, 2509, 5328, 2043, 4656, 28095, 2001, 2074, 2321, 1010, 2002, 2001, 9680, 4691, 2055, 9680, 2075, 16752, 1998, 18036, 3436, 12150, 1010, 2061, 2009, 1005, 1055, 2524, 2000, 5674, 2010, 4581, 2893, 2151, 2062, 17183, 14088, 2084, 2008, 1012, 2021, 2006, 2010, 2047, 2201, 1010, 1045, 2123, 1005, 1056, 2066, 4485, 1010, 1045, 2123, 1005, 1056, 2175, 2648, 1010, 2027, 2079, 1010, 12167, 1999, 1037, 2062, 11259, 1010, 2139, 24128, 2126, 1012, 8214, 11454, 2038, 1996, 10474, 23874, 2006, 1037, 4897, 2157, 2085, 1010, 4283, 2000, 1996, 1001, 1056, 28394, 19646, 17339, 17130, 11960, 4095, 23325, 15900, 1012, 2009, 2035, 27674, 2013, 8214, 1005, 1055, 4357, 2007, 1996, 6350, 2252, 1010, 2073, 2002, 2253, 2006, 2023, 2512, 5054, 19570, 2389, 14841, 13662, 2055, 2129, 2613, 2273, 2123, 1005, 1056, 2031, 23029, 1012, 2009, 2234, 2007, 1037, 2878, 9129, 1997, 2060, 5430, 11149, 2005, 2035, 1996, 1001, 8391, 2368, 2041, 2045, 1012, 2202, 3602, 1010, 2273, 1024, 2613, 2273, 2123, 1005, 1056, 2831, 2055, 2060, 2273, 1012, 8595, 12735, 2024, 2028, 1997, 1996, 2087, 4621, 5906, 1999, 5099, 1011, 6154, 1010, 1998, 2802, 2010, 2476, 1010, 11320, 2850, 26775, 2483, 2038, 4928, 2370, 1037, 3040, 1997, 2068, 1012, 2096, 6669, 5214, 1997, 3810, 2010, 4581, 2000, 2062, 3809, 5739, 1006, 21392, 2361, 1000, 19050, 1000, 2005, 2008, 1007, 1010, 11320, 2850, 2038, 2468, 2124, 2005, 2010, 3754, 2000, 6669, 2275, 2039, 1037, 8257, 2007, 1037, 11003, 2240, 1998, 2059, 7324, 2009, 2091, 2007, 2028, 25591, 3347, 1012, 2148, 3509, 1010, 5631, 1012, 1037, 2759, 2283, 2075, 7688, 2005, 3087, 2007, 2769, 2000, 6271, 1010, 28257, 2443, 1012, 4350, 2503, 1996, 3297, 25749, 3468, 4887, 3309, 1010, 22135, 2038, 6003, 2004, 5631, 1005, 1055, 6765, 2252, 2005, 1996, 4138, 1998, 3297, 1012, 2043, 12330, 2131, 2362, 1010, 2295, 1010, 2009, 1005, 1055, 2025, 2467, 4569, 1998, 2399, 1010, 2130, 2007, 1996, 13008, 20409, 5831, 23430, 2648, 1012, 2004, 7867, 2056, 2044, 2002, 5531, 2010, 2034, 4357, 2007, 6583, 4103, 16050, 2906, 1010, 1037, 3010, 2158, 2040, 5749, 1037, 16985, 5794, 6045, 1998, 4455, 2370, 1996, 1000, 2529, 14262, 13469, 4674, 1010, 1000, 1000, 2023, 3124, 2003, 1037, 5722, 1012, 1000, 2045, 1005, 1055, 2428, 2053, 2488, 2126, 2000, 2404, 2009, 1024, 2023, 3124, 1005, 1055, 10263, 3071, 2013, 26530, 2000, 1050, 1008, 1041, 1008, 1054, 1008, 1040, 1010, 1998, 2467, 3849, 2000, 16655, 22425, 8866, 2008, 2053, 2060, 4357, 2121, 1999, 1996, 2208, 2064, 1012, 2144, 8287, 2010, 13758, 2201, 1010, 7481, 1010, 2055, 1037, 2095, 3283, 1010, 2925, 2038, 2042, 2006, 1037, 18713, 7697, 1010, 6631, 6071, 2197, 2991, 1998, 1996, 2067, 1011, 2000, 1011, 2067, 3684, 2545, 6841, 5549, 1998, 5179, 6385, 2023, 2095, 1012, 2077, 2002, 2001, 1037, 8922, 1011, 4222, 1010, 1051, 6767, 1011, 2772, 8742, 1010, 6335, 21818, 2863, 19648, 10224, 2001, 16153, 2006, 1996, 18713, 4984, 1010, 2196, 17266, 3089, 8873, 6129, 2010, 6881, 2791, 2005, 2373, 3248, 1012, 3225, 1999, 2262, 1010, 2010, 4392, 2062, 2300, 2186, 2038, 2042, 1037, 8335, 3120, 1997, 2060, 11108, 2135, 9389, 2015, 1010, 1998, 2007, 3872, 2274, 7194, 2012, 1996, 2203, 1997, 1996, 3204, 1010, 2057, 1005, 2128, 2559, 2067, 2012, 11637, 2013, 1996, 2034, 2176, 1012, 2004, 2003, 5793, 2013, 1996, 3674, 1000, 2040, 1029, 1029, 1000, 7928, 2008, 2145, 5064, 2265, 2039, 2006, 3492, 2172, 2673, 2057, 2695, 2055, 9543, 2243, 1010, 2116, 1997, 2017, 2145, 2342, 2000, 2131, 5220, 2007, 2028, 1997, 5099, 1011, 6154, 1005, 1055, 2087, 10904, 2402, 3340, 1012, 2024, 2017, 1037, 17595, 4801, 1010, 6379, 1011, 10681, 5610, 29550, 2040, 9680, 2015, 1010, 2030, 1037, 3220, 2007, 2146, 14436, 2015, 1998, 1037, 7279, 14856, 2102, 2000, 4929, 1037, 24112, 2532, 1029, 2008, 1005, 1055, 1996, 7209, 3160, 2057, 1005, 2128, 4851, 2007, 1996, 2713, 1997, 1996, 2047, 4958, 2013, 15536, 2480, 27925, 1998, 5939, 10658, 2050, 1002, 16270, 1010, 2831, 2055, 2009, 1999, 1996, 2851, 1012, 1996, 6745, 2309, 2125, 25439, 1521, 1055, 9046, 2201, 1010, 1523, 7743, 2488, 2031, 2026, 2769, 1524, 2038, 2990, 2098, 11162, 2039, 2000, 2178, 2504, 1012, 1996, 2650, 2003, 1037, 2718, 2008, 2038, 2042, 2437, 5005, 2083, 2591, 2865, 8466, 1010, 1056, 28394, 3215, 1998, 11450, 2144, 2016, 3333, 1037, 1055, 3490, 29519, 2074, 2197, 2733, 1012, 8285, 1011, 8694, 2001, 2242, 1997, 1037, 27505, 1999, 9680, 1010, 2005, 2070, 2009, 2089, 2467, 2022, 1010, 2021, 2005, 1996, 2087, 2112, 1010, 2009, 1005, 1055, 2042, 3970, 2004, 1037, 2691, 14029, 6994, 1012, 2184, 2477, 2017, 2134, 1005, 1056, 2113, 2055, 2502, 1048, 1005, 1055, 1000, 9580, 2480, 1051, 2615, 4830, 3532, 1004, 4795, 1000, 9388, 2654, 1010, 2325, 2012, 5840, 1024, 4029, 9737, 1020, 1010, 6273, 2620, 5328, 2502, 1048, 2003, 8987, 2005, 1037, 2261, 4436, 1012, 2010, 8595, 12735, 1010, 2010, 9817, 2015, 1010, 1998, 2010, 8987, 2201, 9580, 2480, 1051, 2615, 4830, 3532, 1004, 4795, 2024, 1996, 3978, 2000, 2010, 3747, 1012, 2214, 24115, 15536, 2480, 27925, 1998, 12731, 14343, 2078, 1002, 1061, 2074, 3333, 2125, 1000, 19169, 4062, 1000, 1998, 2623, 2019, 9046, 2622, 4159, 1001, 2268, 1010, 1996, 2095, 2043, 2027, 2207, 2037, 2034, 4101, 18713, 2129, 4875, 1029, 15536, 2480, 2038, 2272, 1037, 2146, 2126, 2144, 2059, 1010, 2085, 2028, 1997, 1996, 3068, 1005, 1055, 5221, 9680, 3340, 1010, 1998, 12731, 14343, 2078, 1002, 1061, 2038, 2921, 2009, 5230, 1010, 2295, 5719, 2000, 5587, 14653, 2000, 2010, 2171, 2007, 2169, 2713, 1012, 2385, 3210, 2013, 1000, 2000, 14255, 8737, 1037, 9112, 1000, 2008, 2052, 2191, 1037, 2307, 3570, 10651, 9388, 2570, 1010, 2325, 2012, 5840, 1024, 2382, 9737, 5388, 1010, 5179, 2575, 5328, 25341, 19756, 1521, 1055, 2000, 14255, 8737, 1037, 9112, 3849, 2000, 2022, 1996, 2047, 3115, 20905, 2005, 26422, 5099, 6154, 2189, 1998, 2049, 14841, 28345, 5844, 4942, 18209, 1012, 2179, 1999, 1996, 2104, 17327, 2100, 1997, 1996, 18592, 13680, 11338, 1521, 1055, 11086, 1998, 7165, 2229, 2024, 7696, 9671, 2013, 1999, 27942, 15370, 2000, 28676, 1011, 2013, 23182, 2000, 8040, 9691, 3993, 1012, 1996, 6147, 2024, 1996, 4602, 5099, 6154, 2316, 1997, 2035, 2051, 1010, 2398, 2091, 1012, 2013, 1996, 4534, 1997, 4407, 2000, 2397, 2305, 2694, 1010, 2027, 2031, 11438, 2169, 1998, 2296, 2754, 2027, 1005, 2310, 4519, 2094, 2058, 2037, 3174, 1011, 12021, 2095, 2476, 1012, 8795, 14301, 2063, 2003, 1037, 3451, 12696, 1010, 2019, 3691, 2006, 5099, 6154, 1010, 8885, 3166, 1010, 1037, 2613, 1011, 3066, 6520, 1010, 1998, 7069, 7101, 1012, 2182, 2009, 2003, 1010, 1996, 2320, 1011, 1037, 1011, 2733, 2298, 2012, 1996, 3162, 2646, 1996, 2327, 1997, 2256, 6093, 2008, 2017, 2342, 2000, 2113, 2055, 1012, 2562, 1999, 2568, 2008, 2122, 3162, 2024, 12731, 11001, 2013, 1996, 2200, 2327, 1997, 2256, 2327, 2531, 1998, 1010, 2011, 2037, 2200, 3267, 1010, 8155, 2646, 2062, 2759, 3324, 1012, 2023, 2733, 1005, 1055, 4989, 4858, 3522, 7659, 2013, 24547, 2063, 1010, 11320, 2850, 26775, 2483, 1010, 11332, 2080, 9748, 2480, 1010, 1056, 1011, 3255, 1998, 2062, 1012, 1000, 2652, 2007, 2115, 3033, 26397, 1999, 1998, 2041, 1996, 2767, 15975, 1012, 1012, 1012, 1000, 2269, 2428, 7110, 1521, 1056, 4485, 1010, 1061, 1005, 2035, 1012, 2002, 2253, 2006, 2778, 1010, 3333, 2023, 10720, 4632, 2260, 1011, 2650, 2201, 23263, 4159, 2040, 1005, 1055, 6069, 2131, 21746, 2034, 1029, 2006, 1996, 6970, 8545, 5910, 2197, 2733, 1010, 1998, 2106, 2025, 2448, 2151, 1997, 2023, 2011, 2033, 1012, 1012, 1012, 1005, 3426, 2057, 2020, 2000, 4570, 2190, 3111, 2067, 1999, 2048, 2086, 2013, 2085, 1012, 2256, 2327, 2531, 14409, 2296, 2733, 2007, 1996, 14751, 1998, 2087, 1011, 7791, 2000, 3162, 2006, 2980, 2638, 2860, 5605, 18471, 1012, 2004, 1997, 1996, 6093, 5494, 2023, 2733, 1010, 2182, 1005, 1055, 2054, 2566, 8126, 2039, 2438, 5551, 2000, 2455, 1999, 1996, 2327, 2184, 1012, 2184, 1007, 11332, 2080, 9748, 2480, 3027, 1012, 5939, 10658, 2050, 3696, 1011, 1999, 2014, 4644, 4438, 9963, 1024, 19330, 1005, 6530, 8444, 1005, 1055, 1000, 2709, 2000, 1996, 4029, 8477, 1024, 1996, 6530, 2544, 1000, 9388, 2654, 1010, 2325, 2012, 5757, 1024, 5187, 9737, 1016, 1010, 6109, 2629, 5328, 19330, 1521, 6530, 8444, 1521, 1055, 2709, 2000, 1996, 4029, 8477, 1024, 1996, 6530, 2544, 4332, 2322, 2651, 1012, 9680, 2189, 1521, 1055, 2087, 18080, 3275, 3475, 1521, 1056, 2182, 2000, 8439, 1996, 6686, 1010, 2021, 2002, 2106, 2681, 2369, 1037, 13352, 2140, 6948, 2076, 2010, 2051, 2182, 2006, 3011, 1012, 2169, 2095, 2105, 1996, 2927, 1997, 2233, 1010, 3324, 4088, 6016, 1999, 19299, 2000, 22038, 2140, 1010, 5327, 2000, 3612, 2039, 2006, 1996, 2932, 1521, 1055, 3811, 1011, 28821, 26612, 2862, 1012, 2947, 2521, 1010, 2057, 1521, 2310, 2464, 13451, 12810, 1010, 3387, 23556, 1010, 6638, 29461, 2140, 1010, 1998, 1037, 2261, 2500, 3046, 2000, 8054, 2149, 2027, 2031, 2054, 2009, 3138, 2000, 4519, 1996, 3104, 2247, 2007, 5408, 1997, 2037, 12746, 1010, 2169, 3810, 1999, 1037, 2460, 2678, 12528, 2000, 1996, 4772, 1012, 1996, 6147, 2031, 8678, 2007, 3053, 3071, 1999, 5099, 6154, 1012, 2004, 1996, 9680, 3496, 1005, 1055, 6319, 2316, 1010, 2027, 1005, 2310, 2081, 2189, 2007, 3071, 2013, 6108, 1062, 1998, 29270, 2000, 14786, 5034, 6633, 20136, 2094, 1998, 3542, 2100, 16123, 1012, 2045, 1005, 1055, 6719, 6343, 2027, 2064, 1005, 1056, 3940, 2039, 2007, 1010, 1998, 2037, 14079, 2006, 5261, 16443, 1005, 1055, 2831, 3065, 2038, 10003, 2008, 1012, 2006, 2268, 1005, 1055, 1000, 3144, 1010, 1000, 1037, 2402, 7867, 9680, 5669, 1010, 1000, 4487, 4757, 2033, 1010, 2017, 1521, 2222, 2196, 2963, 1037, 7514, 2005, 2009, 1010, 1000, 4526, 5399, 1997, 1037, 3260, 4861, 2005, 2010, 2476, 2013, 2045, 2006, 2041, 1012, 1999, 1037, 2126, 1010, 2216, 2616, 2020, 8321, 1010, 2004, 2852, 10993, 9096, 6524, 1006, 2065, 2412, 1007, 4455, 2041, 3087, 2011, 2171, 1999, 2010, 2189, 1010, 2021, 2062, 14125, 1010, 2002, 1005, 1055, 2468, 2124, 2004, 1996, 2332, 1997, 1996, 13583, 4487, 4757, 1010, 1996, 7544, 1997, 1996, 4942, 17960, 13290, 2915, 1012, 1011, 25341, 19756, 1005, 1055, 1000, 2332, 28919, 2696, 1000, 2678, 2003, 4239, 2075, 2651, 1999, 2335, 2675, 2581, 1010, 10545, 5328, 22025, 7928, 1011, 1056, 1011, 3255, 7607, 2339, 2010, 9779, 3669, 17560, 5792, 2134, 1005, 1056, 2191, 1996, 18713, 2575, 1010, 4583, 2581, 5328, 17134, 7928, 1011, 25341, 19756, 7607, 1000, 1996, 2304, 2121, 1996, 10498, 1000, 1010, 1000, 9801, 2158, 1000, 1004, 2062, 2581, 1010, 6445, 2620, 5328, 23833, 7928, 1011, 1019, 2477, 2017, 2323, 2113, 2055, 15065, 17134, 1010, 21211, 5328, 19481, 7928, 1011, 4901, 6733, 4152, 2046, 3558, 11477, 10719, 2007, 2048, 2308, 12521, 1010, 4466, 2683, 5328, 12376, 7928, 1011, 6174, 5811, 1004, 6520, 1047, 15238, 2094, 2831, 2047, 28997, 4971, 2201, 1010, 14970, 1000, 2969, 2081, 1010, 5285, 1012, 1018, 1000, 2260, 1010, 6391, 2620, 5328, 19961, 7928, 1011, 1056, 1011, 3255, 1005, 1055, 1000, 1996, 3707, 2126, 1000, 3319, 2581, 1010, 4090, 2620, 5328, 21486, 7928, 1011, 20773, 8466, 1055, 3490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2031, 2000, 6449, 2008, 1045, 2001, 3308, 1012, 1045, 2245, 2882, 5431, 5869, 7136, 2001, 2183, 2000, 2022, 2502, 1010, 2021, 1045, 2018, 2053, 2801, 2008, 2009, 2052, 2022, 5973, 2485, 2000, 1996, 3053, 1018, 1010, 3156, 2867, 2008, 2165, 2112, 1999, 1996, 2381, 1011, 2437, 2977, 1012, 1999, 2755, 1010, 2012, 2028, 2391, 1010, 1045, 2001, 6427, 2008, 2882, 5431, 11293, 2052, 2022, 1996, 3469, 1997, 1996, 2048, 2824, 1012, 2066, 1045, 2056, 1012, 1012, 1012, 3308, 1012, 2004, 1996, 10194, 1997, 2026, 3308, 2791, 2506, 2000, 4057, 1010, 1045, 3651, 2008, 1045, 2071, 2025, 2292, 2023, 6686, 3413, 2302, 2941, 24740, 1996, 3181, 2724, 2034, 11774, 1012, 1045, 2985, 1996, 2733, 1999, 2662, 1010, 2551, 2041, 1997, 11932, 1010, 1998, 2787, 2008, 2612, 1997, 3909, 2188, 2006, 5958, 1045, 2052, 14171, 2026, 3604, 3488, 2005, 1037, 3232, 1997, 2420, 1999, 7756, 1012, 1045, 3653, 2890, 24063, 6850, 2004, 2574, 2004, 1045, 2354, 1045, 2001, 2183, 1998, 2001, 8916, 1037, 2835, 1999, 1996, 2977, 1012, 1045, 2001, 5191, 2055, 4531, 1037, 2282, 1998, 2584, 2041, 2000, 4138, 5292, 7446, 1998, 2179, 2041, 2008, 2010, 2210, 2377, 22199, 2177, 2018, 1037, 2282, 2007, 2019, 4469, 2793, 1045, 2071, 6583, 2497, 1012, 1045, 2359, 2000, 2131, 1999, 2220, 2006, 5958, 2021, 2008, 2001, 3053, 5263, 1012, 2045, 2001, 1037, 2843, 2183, 2006, 1999, 7136, 2008, 5353, 1010, 2007, 2350, 11662, 2824, 1010, 2137, 14104, 6750, 7012, 1006, 4138, 2038, 1037, 2307, 2466, 2055, 2023, 2008, 1045, 2572, 2469, 2002, 3488, 2000, 2425, 2006, 1996, 2279, 2647, 2882, 5431, 6325, 1007, 1010, 1998, 1037, 4121, 4816, 2189, 2782, 1012, 2045, 2052, 2022, 2053, 5027, 2882, 5431, 7012, 2005, 2033, 1010, 1998, 1045, 2052, 2022, 3225, 1996, 2922, 4003, 2208, 2977, 1997, 2035, 2051, 2007, 5717, 9061, 2015, 1012, 1045, 3685, 6911, 2438, 2054, 2019, 6429, 3105, 5199, 11824, 1998, 1996, 16690, 2399, 3095, 2106, 1999, 4815, 2023, 2724, 2125, 1012, 2750, 2383, 2176, 2335, 1996, 2193, 1997, 2111, 2008, 2017, 2052, 5373, 2424, 7052, 1037, 2882, 5431, 1010, 2027, 2018, 2149, 2035, 1999, 2256, 4272, 1998, 3201, 2000, 2175, 2011, 2184, 1024, 2321, 1517, 1998, 2009, 2003, 2000, 1996, 3095, 1005, 1055, 4923, 2008, 2027, 2020, 9364, 2008, 2009, 2106, 2025, 4148, 3599, 2012, 2184, 1024, 4002, 1012, 2652, 2715, 5972, 10203, 5877, 2001, 4406, 2151, 2060, 3132, 3325, 1999, 3894, 2381, 1012, 1996, 4031, 2003, 3492, 18782, 1998, 2045, 2020, 2025, 2116, 6695, 2000, 7374, 2005, 1996, 2977, 2066, 2017, 5373, 2052, 2005, 2019, 2724, 2017, 2024, 2635, 1037, 2440, 5353, 2000, 4946, 1010, 3345, 1010, 2030, 9935, 2000, 1012, 2009, 2036, 3591, 2070, 4310, 7860, 2005, 1996, 6794, 1012, 5373, 1010, 2043, 2017, 2377, 1999, 1037, 10203, 5877, 2724, 2017, 2024, 4375, 1037, 4770, 1997, 5329, 2000, 4236, 1012, 6964, 1010, 2216, 2024, 2025, 2115, 5329, 1998, 2017, 2031, 2000, 2192, 2008, 4770, 2125, 2000, 2619, 2842, 1012, 2007, 3811, 16166, 17910, 2015, 2066, 16985, 5302, 3995, 2100, 2546, 1010, 2601, 9530, 8873, 28210, 1010, 1998, 1037, 22889, 7974, 1997, 10689, 3056, 2000, 2022, 2441, 3674, 2335, 1010, 1037, 3247, 2018, 2000, 2022, 2081, 2055, 2129, 2000, 3066, 2007, 1996, 2867, 2040, 2052, 28352, 2243, 2012, 13041, 2122, 17605, 2125, 2000, 2060, 2867, 1012, 1999, 1996, 2203, 1010, 2867, 2020, 3039, 2000, 4530, 2013, 1996, 2977, 3188, 2000, 25719, 1996, 5877, 1998, 2202, 2037, 5329, 2007, 2068, 2738, 2084, 3443, 2514, 1011, 2919, 8146, 2073, 2867, 2453, 2031, 2000, 2131, 6731, 2005, 20084, 5887, 2072, 3343, 1012, 2009, 2001, 1037, 5399, 29308, 3247, 2005, 5281, 2867, 2040, 2031, 4961, 2109, 2000, 25719, 19963, 1998, 4458, 2068, 2125, 2000, 2060, 2867, 2012, 14658, 1998, 13866, 4160, 2015, 2005, 2004, 2146, 2004, 2027, 2031, 2042, 2652, 1012, 4821, 1010, 1045, 2228, 2009, 2001, 6149, 2005, 2023, 4310, 2724, 1010, 2130, 2295, 1045, 2941, 8826, 8819, 1998, 5877, 1011, 19948, 2005, 10203, 5877, 8504, 2126, 2067, 1999, 1996, 3054, 1011, 17233, 2012, 8699, 2598, 1012, 1996, 5877, 1045, 2001, 4375, 2000, 2147, 2007, 2018, 2070, 2204, 5329, 2021, 2001, 11158, 1996, 9767, 2017, 3246, 2005, 2043, 2311, 1037, 10203, 5877, 1012, 1045, 3092, 2039, 15696, 1037, 3492, 4189, 2417, 1011, 2317, 7230, 5877, 2008, 2956, 1037, 3940, 1997, 11554, 7230, 1010, 6112, 3995, 4017, 11505, 1010, 8505, 20464, 19224, 23610, 1010, 2048, 8990, 4895, 23467, 3085, 2940, 14149, 2099, 7230, 1010, 1998, 1037, 19709, 7504, 1012, 2026, 6871, 2665, 1011, 2630, 2001, 9092, 9080, 6026, 1010, 2007, 7564, 1997, 2204, 28324, 7329, 1010, 2021, 3904, 1997, 1996, 24951, 1011, 15887, 1998, 16264, 2008, 3084, 2009, 2428, 16356, 1012, 2054, 1045, 2018, 2428, 2042, 5327, 2005, 2001, 1037, 3435, 5877, 2066, 1996, 2028, 4138, 5292, 7446, 3092, 2039, 2652, 2007, 3674, 2028, 1011, 1998, 2048, 1011, 9010, 1998, 1037, 7146, 1997, 5944, 24759, 27100, 2869, 1012, 1045, 3092, 2039, 7510, 2012, 1018, 1516, 1017, 2007, 2048, 1997, 2026, 2674, 6409, 2746, 1999, 6241, 2073, 1045, 14163, 6894, 5289, 2098, 2000, 2176, 1012, 2009, 2052, 2022, 3733, 2000, 8364, 2026, 2919, 6735, 1010, 2021, 2428, 1010, 1045, 2323, 2031, 3013, 2028, 1997, 2026, 5329, 2013, 1996, 5877, 2000, 2377, 7763, 4915, 1012, 2026, 5877, 2018, 2053, 16264, 1998, 9652, 2359, 2000, 28324, 11554, 5016, 2006, 2735, 2028, 1012, 2004, 2107, 1010, 2009, 2018, 2000, 14163, 6894, 5289, 3492, 24663, 1998, 2052, 2031, 5770, 3064, 2013, 2019, 4469, 2455, 1012, 1045, 2018, 1037, 2461, 1017, 3444, 2674, 2114, 4080, 12731, 23585, 2008, 2001, 2026, 2034, 3279, 1012, 2208, 1015, 2001, 2026, 2176, 1011, 4003, 2192, 2025, 2893, 2045, 1998, 1999, 2208, 1016, 2010, 19359, 1997, 8208, 2921, 2026, 2749, 2013, 15986, 1037, 3278, 2886, 1012, 2461, 1018, 2001, 2471, 2019, 16436, 5043, 1012, 2004, 2057, 2938, 2091, 2000, 2377, 1010, 2026, 7116, 1517, 2040, 2001, 2036, 1016, 1516, 1015, 1517, 4541, 2008, 2119, 2010, 5222, 2020, 19857, 9681, 1998, 2008, 2002, 2001, 2074, 3225, 2000, 2377, 3894, 2153, 2044, 1037, 2200, 2146, 3913, 7245, 1012, 1045, 2180, 2208, 1016, 1998, 2006, 2735, 2093, 1997, 2208, 1016, 2002, 1000, 5402, 2094, 1000, 1037, 24951, 5302, 14536, 15006, 2063, 2000, 2377, 10721, 7409, 1998, 2131, 1996, 24951, 5302, 14536, 15006, 2063, 2067, 1012, 2002, 2106, 2025, 2079, 2505, 2842, 2005, 1996, 2279, 2261, 4332, 1998, 2026, 7230, 2020, 8701, 2000, 2485, 1996, 2208, 2041, 2065, 2002, 2979, 1996, 2735, 2302, 2725, 2505, 1012, 2002, 3881, 2010, 4003, 2005, 1996, 2735, 1998, 6345, 1010, 1000, 1045, 3984, 2017, 2288, 2033, 1012, 1045, 2064, 1005, 1056, 2079, 2505, 1012, 1000, 1000, 2017, 2064, 2467, 2074, 1005, 5402, 1005, 24951, 5302, 14536, 15006, 2063, 1010, 2157, 1010, 1000, 1045, 4081, 1012, 2002, 2785, 1997, 19203, 2370, 1999, 1996, 6130, 1998, 2209, 1996, 6297, 2000, 4009, 1037, 4003, 1012, 2002, 2246, 2012, 1996, 4003, 1998, 2002, 2768, 2039, 3442, 1999, 2010, 3242, 1012, 2002, 2246, 2105, 2005, 2070, 18740, 1998, 2211, 9651, 2010, 24951, 1998, 2129, 2116, 11750, 2002, 2018, 3459, 1012, 2002, 2209, 2178, 24951, 5302, 14536, 15006, 2063, 1010, 1037, 7143, 8887, 1010, 1998, 1037, 8208, 6297, 2005, 2028, 1997, 2026, 7329, 1012, 2059, 2002, 2081, 2702, 22639, 2015, 2007, 4064, 1996, 6031, 2015, 1012, 14599, 2005, 2033, 1010, 1045, 3881, 1037, 5066, 2455, 2006, 2026, 2279, 2735, 1998, 2001, 2583, 2000, 5245, 2083, 1996, 2345, 2685, 1997, 4053, 2007, 1037, 2524, 1011, 3459, 11554, 5016, 15135, 2091, 2010, 5573, 2417, 2390, 1012, 1045, 2001, 1017, 1516, 1015, 2021, 2025, 3110, 2200, 2204, 2055, 2009, 1012, 1045, 2180, 2026, 2279, 2461, 2021, 2439, 1996, 2279, 2048, 1517, 1996, 2197, 3279, 2746, 2000, 1037, 5877, 2008, 2956, 1037, 5024, 2317, 1011, 2304, 8443, 4677, 9370, 2125, 2007, 15262, 22379, 2099, 26696, 1010, 20415, 4393, 1010, 1998, 4690, 1997, 2543, 1998, 3256, 1012, 1045, 2031, 2000, 6449, 1045, 2001, 4527, 2008, 2002, 2018, 2048, 6409, 1012, 2004, 2009, 4332, 2041, 1010, 2002, 2439, 24942, 2000, 1996, 2168, 6635, 4003, 3807, 1517, 4690, 1997, 2422, 1998, 5192, 1012, 2008, 2001, 2009, 2005, 2026, 2364, 2724, 1012, 14599, 1010, 2045, 2020, 7564, 1997, 2214, 2814, 1999, 5270, 1998, 1045, 2001, 2583, 2000, 2132, 2041, 1998, 6723, 4596, 2007, 2619, 1045, 2018, 2025, 2464, 1999, 19511, 1012, 1045, 2234, 2067, 1996, 2279, 2154, 1998, 2209, 2070, 2217, 2824, 1010, 2021, 2004, 1996, 2154, 5078, 2006, 2054, 1045, 2428, 2359, 2000, 2079, 2001, 4433, 2715, 5972, 1998, 2008, 2001, 2025, 1996, 25551, 2518, 1999, 1996, 2088, 1012, 16047, 1010, 6498, 3581, 2884, 1006, 9875, 10710, 4381, 8840, 12184, 2099, 1007, 4778, 2033, 2000, 4433, 2007, 2032, 1998, 2070, 2814, 2013, 1996, 3016, 2181, 1010, 1998, 1045, 2985, 1996, 3944, 5689, 2041, 2007, 2070, 2204, 2111, 1998, 2652, 3894, 1012, 2054, 2062, 2071, 1045, 3198, 1029, 2044, 2256, 2809, 1011, 2711, 4433, 1010, 1999, 2029, 1045, 2253, 1016, 1516, 1015, 2007, 2417, 1011, 2665, 4040, 1010, 2057, 2209, 1037, 3232, 1997, 2274, 1011, 2447, 2399, 1997, 3474, 1012, 2057, 2699, 2041, 2037, 8349, 2170, 9748, 3474, 2005, 2028, 1997, 2216, 2399, 1998, 2009, 2001, 5875, 2438, 2008, 2009, 10943, 2098, 18625, 2182, 1012, 1996, 8349, 2003, 14563, 1997, 2759, 2283, 2399, 13897, 2030, 12797, 1012, 2028, 2447, 2003, 18154, 3479, 2004, 1996, 6458, 1998, 2008, 2003, 3936, 2000, 2035, 2867, 1012, 1996, 2060, 4395, 2024, 2035, 2209, 1999, 3595, 1012, 2045, 2003, 1037, 4112, 2040, 2038, 2000, 2562, 1996, 6458, 5123, 1010, 2048, 23107, 2040, 2342, 2000, 3102, 1996, 6458, 2000, 2663, 1010, 1998, 1037, 28463, 2040, 5222, 2065, 2002, 2030, 2016, 2003, 1996, 2197, 2447, 3061, 1012, 2026, 28667, 14511, 18491, 2003, 1037, 2210, 2625, 2084, 6121, 3154, 1997, 2035, 1996, 11259, 7368, 1997, 1996, 3513, 1010, 2021, 2009, 2001, 1037, 4569, 8349, 2000, 3046, 1998, 1045, 2572, 9461, 2000, 3046, 2009, 2041, 1999, 2019, 2511, 3474, 4044, 1999, 2342, 1997, 1037, 2576, 6073, 6279, 1012, 4638, 2041, 2023, 14816, 14406, 2013, 1996, 2724, 2065, 2017, 2215, 2000, 2131, 1037, 2613, 3168, 1997, 2074, 2129, 2502, 2023, 2977, 2001, 1012, 4013, 2778, 8088, 4469, 8551, 3981, 7442, 7010, 9406, 2515, 2025, 5373, 20228, 2100, 2010, 3119, 2012, 1037, 2882, 5431, 1010, 2021, 2043, 2002, 2515, 2009, 2003, 2005, 1996, 2922, 4003, 2208, 2977, 1997, 2035, 2051, 1012, 2534, 1997, 4476, 2161, 2028, 1997, 1996, 7832, 2008, 2234, 2039, 8385, 2802, 1996, 5353, 2001, 1996, 17945, 2534, 1997, 4476, 10428, 2005, 1996, 2286, 2465, 2008, 2097, 2022, 8120, 1999, 5772, 2012, 4013, 2778, 1996, 7352, 1012, 2023, 2097, 2022, 1996, 6619, 2465, 8686, 2005, 2049, 17571, 1998, 2009, 2097, 2022, 1037, 6653, 2095, 2000, 1037, 2689, 2108, 2081, 2005, 1996, 2297, 2465, 1997, 1996, 2534, 1997, 4476, 1012, 2144, 1996, 2034, 2095, 1997, 1996, 2534, 1010, 2029, 4372, 4095, 11467, 2094, 2867, 2040, 2211, 2652, 2006, 1996, 4013, 2778, 2076, 1996, 2200, 2034, 2161, 1010, 1996, 5918, 2005, 2108, 2006, 1996, 10428, 2020, 2008, 2017, 2734, 2000, 2031, 2034, 2209, 2006, 1996, 4013, 2778, 2702, 3692, 2077, 2115, 11395, 1998, 2076, 2008, 2051, 22151, 2531, 4013, 2685, 1012, 2076, 1996, 3732, 2431, 1997, 1996, 17233, 1010, 4013, 2685, 2020, 2025, 3053, 2004, 20228, 4765, 18424, 2004, 2027, 2024, 2085, 1012, 2882, 5431, 2020, 8491, 1998, 2582, 2090, 1010, 2045, 2020, 2025, 3971, 2000, 2131, 2685, 2013, 2060, 8504, 2066, 1996, 2088, 3894, 2452, 1010, 1998, 1996, 2685, 2020, 2445, 2041, 1999, 3760, 21656, 3452, 1012, 2867, 2040, 2024, 2183, 2000, 2022, 2006, 2023, 2095, 1005, 1055, 10428, 2342, 2000, 2031, 2318, 2037, 4013, 2778, 2476, 2076, 1996, 2432, 2161, 2030, 3041, 2000, 2022, 7792, 1010, 1998, 2027, 2097, 2031, 2209, 2037, 10922, 2041, 1999, 1037, 2172, 2062, 4013, 2391, 1011, 4138, 4044, 1012, 2004, 2107, 1010, 3225, 2279, 2095, 1010, 2867, 2097, 2085, 2342, 5018, 6480, 2685, 2000, 2022, 2794, 2000, 1996, 10428, 1012, 2867, 2040, 2052, 2031, 2042, 2006, 1996, 10428, 2023, 2095, 2007, 2531, 2685, 2097, 2022, 5615, 2098, 3031, 1996, 10428, 2005, 2023, 2161, 1010, 2077, 1996, 5018, 1011, 2391, 9095, 2003, 16348, 2005, 3071, 2279, 2095, 1012, 2867, 2007, 2531, 2476, 2685, 2097, 2145, 2022, 7792, 2000, 2022, 2006, 1996, 2447, 2837, 2008, 4494, 2005, 1996, 2534, 1997, 4476, 1012, 2182, 2003, 1996, 3563, 2653, 4953, 11395, 2005, 2023, 2095, 1005, 1055, 10428, 1024, 1999, 2344, 2000, 2031, 2010, 2030, 2014, 2171, 2006, 1996, 2286, 2534, 1997, 4476, 4989, 10428, 1010, 1037, 2447, 2442, 3113, 2119, 1997, 1996, 2206, 2048, 5918, 1024, 1011, 1015, 1012, 1996, 2447, 2442, 2031, 4194, 1999, 2010, 2030, 2014, 2034, 3894, 1024, 1996, 7215, 4013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1037, 1013, 1050, 1011, 3100, 1010, 2061, 2146, 3524, 1012, 1998, 1045, 2018, 2053, 6998, 2006, 1996, 2839, 2862, 1010, 2061, 2045, 2145, 2053, 2862, 2006, 2026, 6337, 1012, 2174, 1010, 4283, 2000, 1037, 3391, 11771, 2465, 6594, 1010, 1045, 2001, 2583, 2000, 4088, 2023, 3127, 1012, 3531, 2292, 2033, 2113, 2054, 2017, 2228, 999, 4531, 1996, 20182, 1005, 3040, 2001, 2025, 2183, 2000, 6011, 3697, 1012, 2016, 2001, 12495, 13027, 1037, 5189, 1010, 28349, 2186, 1997, 24795, 2015, 2008, 10187, 2035, 2105, 1012, 2065, 4586, 2317, 1998, 21686, 2018, 2025, 2124, 2008, 2023, 2611, 2001, 1999, 18704, 2566, 4014, 1010, 2027, 2052, 2031, 2357, 2039, 2037, 27518, 2012, 1996, 16405, 11124, 2571, 11652, 1012, 2174, 1010, 2027, 2179, 2009, 3305, 3085, 2012, 1996, 2617, 1012, 5399, 1012, 4586, 1998, 25022, 2078, 3724, 2037, 5194, 2524, 1517, 1996, 2093, 20182, 2206, 1517, 2004, 2027, 9538, 2083, 1996, 3224, 1012, 1000, 9241, 999, 9241, 999, 1000, 7094, 6626, 1999, 25022, 2078, 1005, 1055, 4540, 1012, 1000, 20261, 1010, 7094, 999, 1000, 8040, 11614, 2098, 1996, 2630, 2028, 1010, 2040, 2018, 3107, 2841, 5312, 3283, 2004, 2204, 21166, 1012, 1000, 2027, 2024, 2183, 2004, 3435, 2004, 2027, 2064, 999, 1000, 2009, 2001, 3352, 5793, 1996, 4677, 1997, 3094, 2306, 1996, 2093, 20182, 1012, 2204, 21166, 2001, 4415, 1996, 3003, 1010, 2628, 2011, 10442, 1517, 1996, 2665, 2028, 2040, 2069, 3764, 2043, 2016, 2018, 2242, 1997, 3643, 2000, 2360, 1517, 1998, 2059, 7094, 1012, 7094, 1010, 2005, 2014, 2112, 1010, 2596, 2000, 2022, 2402, 1999, 2287, 1998, 7729, 1012, 2009, 2018, 2042, 2069, 5312, 2144, 4586, 1998, 25022, 2078, 2018, 2579, 2125, 2000, 3828, 1996, 20182, 1005, 3040, 1010, 2021, 2204, 21166, 2018, 2525, 8040, 11614, 2098, 7094, 2195, 2335, 1012, 2037, 6393, 2018, 9784, 2085, 1012, 1996, 2598, 2018, 4961, 9561, 2004, 2027, 20832, 1996, 4211, 2000, 1996, 25843, 3224, 2008, 4225, 1996, 2604, 2121, 2090, 2026, 16033, 19312, 1010, 10958, 10521, 12995, 1010, 1998, 2116, 2060, 2406, 1011, 12028, 1012, 4586, 2766, 2067, 2006, 2014, 5706, 1005, 1055, 19222, 1012, 2059, 1010, 9179, 2014, 2159, 10745, 1010, 2016, 6626, 1010, 1000, 1045, 2156, 2014, 999, 1000, 5560, 5595, 4210, 3805, 1010, 1037, 3275, 1999, 5061, 2018, 6589, 10234, 1037, 13264, 2012, 2560, 2274, 2335, 2014, 2946, 1998, 2001, 5008, 1517, 2054, 2246, 2066, 1517, 6910, 4597, 2013, 2014, 12206, 1012, 2014, 4539, 2001, 1037, 2312, 24665, 29266, 1010, 17197, 2039, 2012, 2014, 1999, 4963, 1998, 2059, 1999, 3255, 2043, 2028, 1997, 2014, 7171, 2718, 2049, 2928, 1012, 1000, 4615, 999, 1000, 7094, 6626, 1012, 2174, 1010, 2108, 1996, 4714, 8867, 2008, 2016, 2001, 1010, 2009, 5015, 2069, 4510, 2682, 1037, 2529, 1005, 1055, 3671, 4092, 2376, 1012, 1000, 2054, 2024, 2057, 2183, 2000, 2079, 1029, 1000, 25022, 2078, 2356, 1010, 4285, 2005, 2014, 17044, 1012, 2021, 4586, 2317, 2018, 7854, 2014, 2000, 2009, 1012, 2016, 2018, 2275, 2014, 6812, 1998, 8612, 1998, 2018, 2292, 2009, 4875, 1012, 1996, 8612, 5565, 1999, 1996, 4562, 1005, 1055, 3244, 1010, 1998, 1996, 4111, 2018, 2357, 2646, 2049, 3120, 1012, 2174, 1010, 25022, 2078, 2001, 2085, 3201, 1012, 1037, 4714, 5956, 1997, 3165, 1010, 1998, 1037, 12201, 2018, 8461, 2993, 7933, 1999, 1996, 4562, 1005, 1055, 7412, 1517, 2157, 2090, 2049, 2159, 1012, 1996, 4615, 10234, 1996, 2600, 2018, 5864, 2005, 1037, 2617, 1025, 2174, 1010, 2016, 2018, 2085, 11842, 2014, 3579, 1012, 1996, 4562, 15022, 1998, 9845, 2646, 4586, 1998, 25022, 2078, 1012, 4586, 2766, 2067, 2178, 8612, 1010, 1998, 25022, 2078, 3191, 6340, 2178, 12201, 2000, 4875, 1012, 2021, 1996, 4615, 1999, 5061, 2170, 1037, 2307, 3894, 2000, 2014, 2398, 1998, 3390, 2009, 2875, 1996, 4562, 1010, 13175, 2007, 1996, 2486, 1997, 6183, 2009, 2013, 2014, 1012, 1996, 4408, 2317, 2422, 2179, 2049, 4539, 1012, 7294, 1996, 4562, 1999, 1996, 4373, 1010, 2009, 6639, 2041, 1999, 3255, 1998, 2211, 2000, 13184, 1012, 1999, 3823, 1010, 1996, 4562, 2001, 2053, 2936, 1037, 2542, 2518, 1012, 5091, 3236, 1999, 2019, 3670, 1997, 3255, 1998, 4963, 1010, 1996, 4562, 2001, 1037, 5810, 1011, 2962, 6231, 1012, 1000, 9616, 1010, 1000, 25022, 2078, 2056, 1010, 5128, 2185, 2014, 15171, 12201, 1012, 1000, 2016, 1005, 1055, 2204, 1012, 1000, 4586, 3368, 2004, 2016, 2205, 2404, 2185, 2014, 5195, 1012, 1000, 4615, 7987, 2401, 2099, 999, 4615, 7987, 2401, 2099, 3123, 999, 1000, 1996, 2093, 20182, 6639, 2012, 1996, 3275, 2004, 2016, 2357, 2000, 7358, 2091, 1996, 13264, 1012, 2004, 1996, 20182, 6760, 2875, 2014, 1010, 25022, 2078, 3887, 2012, 4586, 1517, 2040, 2018, 2908, 21396, 7770, 1012, 1000, 2054, 1029, 1000, 25022, 2078, 2356, 1012, 1000, 1045, 2113, 2014, 1010, 1000, 4586, 4660, 1012, 25022, 2078, 2628, 2014, 2742, 1010, 26085, 16291, 1005, 1055, 23547, 2004, 2574, 2004, 2014, 2519, 2020, 2006, 1996, 2598, 1012, 1000, 2017, 1005, 2310, 2777, 2014, 1029, 1000, 1000, 2069, 2012, 1037, 3292, 1012, 2016, 1005, 1055, 1996, 2983, 1997, 13158, 1005, 1055, 4615, 1012, 1000, 25022, 2078, 3030, 1012, 2014, 2677, 2001, 12943, 24065, 1012, 4615, 7987, 2401, 2099, 3123, 2018, 2272, 3553, 2046, 3193, 1012, 2016, 2001, 5629, 1010, 1037, 5808, 1011, 3091, 23055, 1997, 4408, 9081, 2606, 3021, 14138, 2369, 2014, 2004, 2016, 6760, 2875, 2014, 5343, 2869, 1012, 2016, 2001, 4147, 1037, 4408, 5061, 11111, 2008, 3062, 3442, 2091, 1517, 1998, 2092, 2627, 1517, 2014, 2519, 1010, 4257, 17989, 3904, 1998, 4760, 3904, 1997, 2014, 3275, 1012, 2009, 2001, 4593, 19189, 2011, 4815, 2009, 2058, 2028, 1005, 1055, 2132, 1010, 2004, 2053, 2060, 3435, 7406, 5080, 2001, 5710, 1012, 2004, 7987, 2401, 2099, 3123, 20832, 1010, 4586, 1998, 25022, 2078, 2071, 2156, 2008, 3165, 29161, 19610, 7583, 1996, 15114, 1010, 3953, 1010, 1998, 4510, 5710, 7415, 2008, 6999, 2039, 2012, 1996, 2611, 1005, 1055, 4065, 1010, 4593, 2000, 2991, 2091, 2014, 2067, 1012, 1000, 2008, 1005, 1055, 1996, 2307, 2061, 19170, 8303, 4615, 1997, 13158, 1029, 1996, 5777, 5053, 1029, 1000, 25022, 2078, 2356, 1012, 1000, 2016, 1005, 1055, 2074, 1037, 4845, 999, 9171, 1010, 7763, 2012, 1996, 4587, 999, 1000, 7987, 2401, 2099, 3123, 3030, 1010, 2702, 2030, 5417, 2519, 2013, 2014, 3507, 4615, 2229, 1012, 2014, 8867, 5220, 2015, 8614, 2588, 2014, 1517, 2028, 2006, 2169, 3244, 1998, 2028, 5689, 2841, 2058, 2014, 2132, 1012, 1996, 5777, 5053, 1005, 1055, 2159, 5299, 3031, 4586, 2317, 1012, 4586, 2513, 2014, 3657, 1012, 2119, 2020, 8053, 2004, 9205, 1010, 2471, 10368, 1012, 2633, 1010, 1996, 3920, 4615, 13179, 2014, 2132, 2000, 1996, 2157, 1010, 6885, 2014, 2398, 2006, 2014, 5099, 1010, 1998, 10591, 1996, 8867, 2006, 1996, 2157, 1517, 7094, 1517, 2125, 2014, 3244, 1012, 7094, 3123, 1998, 5112, 1999, 1996, 2250, 1012, 1000, 1045, 2052, 4067, 2017, 2005, 7494, 2033, 1010, 17114, 4586, 1010, 2021, 1045, 2228, 2008, 2009, 2003, 2069, 1037, 2235, 4611, 4102, 2000, 2054, 2115, 2388, 1998, 4426, 12533, 2026, 2406, 999, 1000, 7987, 2401, 2099, 11402, 1010, 5064, 1037, 6057, 5005, 2746, 2013, 1996, 2402, 2450, 1012, 1000, 2821, 1010, 1000, 25022, 2078, 6250, 1010, 2004, 2065, 3402, 10397, 1996, 3276, 2090, 2026, 16033, 19312, 1998, 13158, 1012, 4586, 5489, 1010, 10397, 2014, 24069, 2007, 7987, 2401, 2099, 1998, 2014, 2406, 2092, 1012, 1996, 3116, 2090, 2068, 2018, 2042, 2505, 2021, 2591, 1012, 4586, 2018, 8469, 2046, 1996, 2406, 1011, 2983, 1997, 13158, 2005, 1996, 2034, 2051, 2012, 28238, 1005, 1055, 2217, 1010, 7682, 1996, 6087, 1997, 2026, 16033, 19312, 1012, 28238, 2018, 2074, 11438, 13158, 1012, 6047, 2135, 1010, 1996, 2548, 2155, 1997, 2008, 3249, 2406, 2018, 3530, 2000, 12040, 1517, 2000, 2644, 1996, 2668, 14740, 1012, 7987, 2401, 2099, 2018, 2042, 3061, 2012, 2014, 2269, 1005, 1055, 2217, 2004, 2002, 4375, 2058, 2010, 4410, 2000, 1037, 20673, 1998, 25251, 28238, 1012, 2016, 2018, 2042, 6933, 1010, 2021, 2016, 2145, 2768, 7933, 2011, 2014, 2155, 1012, 1000, 2054, 2024, 2017, 2725, 2182, 1029, 999, 1000, 7987, 2401, 2099, 2001, 2085, 24795, 2075, 1012, 2009, 2001, 2428, 3243, 28349, 1012, 1000, 2085, 1010, 2085, 1517, 1000, 25022, 2078, 2211, 1010, 2021, 2016, 2253, 4895, 26362, 2011, 4615, 7987, 2401, 2099, 3123, 1012, 1000, 2272, 2000, 16152, 2178, 2406, 1029, 10083, 2062, 3268, 999, 8639, 2062, 26927, 2078, 1011, 1011, 1000, 1000, 1045, 1005, 1049, 3374, 1010, 1000, 4586, 3013, 1999, 1012, 1000, 1045, 2123, 1005, 1056, 2113, 2505, 2062, 2000, 2360, 1012, 1000, 1000, 1005, 3374, 1005, 1029, 1000, 7987, 2401, 2099, 2056, 1010, 1037, 4326, 2543, 16005, 1999, 2014, 2159, 1012, 1000, 2017, 2228, 1005, 3374, 1005, 2003, 2183, 2000, 3104, 2009, 1029, 2044, 2054, 2115, 2388, 1010, 2115, 2567, 1010, 2017, 1010, 2031, 2589, 2000, 2026, 2406, 1010, 2026, 2111, 1010, 2026, 2155, 1010, 2026, 3159, 1029, 1000, 1000, 4615, 1529, 1000, 10442, 3990, 1012, 2035, 2093, 20182, 2018, 2333, 8736, 2067, 2013, 2014, 1012, 2422, 2008, 2218, 2035, 1996, 6087, 1997, 7311, 5935, 2012, 2014, 2398, 1012, 4586, 2766, 2014, 2157, 3329, 2369, 2014, 1998, 2211, 2000, 3362, 2005, 2014, 6812, 1012, 1000, 2044, 2054, 2115, 2567, 2106, 2000, 2026, 11419, 3159, 999, 1000, 2016, 6639, 1010, 2422, 7118, 2039, 2014, 2608, 1012, 1000, 7987, 2401, 2099, 1010, 4952, 2000, 2033, 999, 1000, 4586, 2056, 1010, 9391, 2004, 2065, 2016, 2001, 8040, 11614, 2075, 2014, 2114, 5983, 26844, 2077, 2014, 15264, 2738, 2084, 2667, 2000, 5475, 1037, 5506, 2061, 19170, 8303, 2005, 2014, 2166, 1005, 1055, 8739, 1012, 2174, 1010, 25022, 2078, 4900, 2000, 3066, 2007, 2023, 2611, 1037, 2367, 2126, 1012, 1999, 1037, 5956, 1010, 2016, 2001, 2369, 7987, 2401, 2099, 2007, 1037, 12201, 2218, 20754, 2485, 2000, 2014, 3759, 1012, 1000, 2023, 12201, 1010, 4615, 1010, 2003, 17958, 2007, 1037, 9947, 2008, 2130, 3894, 2064, 1005, 1056, 11005, 1012, 2067, 2091, 1010, 2030, 2017, 1005, 2222, 5114, 2498, 2021, 1037, 4248, 2331, 1012, 5475, 4426, 1010, 1998, 4952, 2000, 2054, 4586, 2317, 2038, 2000, 2360, 999, 1000, 1000, 4615, 1010, 3531, 999, 1000, 7987, 2401, 2099, 1005, 1055, 20182, 12254, 1999, 7165, 1012, 1996, 2402, 4615, 1005, 1055, 5505, 3473, 2784, 1998, 4450, 6313, 1012, 1996, 2422, 1010, 2044, 1037, 2261, 12938, 1010, 2211, 2000, 28667, 14728, 2091, 2014, 2849, 2127, 2009, 2001, 2053, 2062, 1012, 2007, 1037, 2345, 25735, 3052, 1010, 2016, 3368, 1012, 2007, 2178, 4714, 5956, 1997, 3165, 1010, 25022, 2078, 2018, 2404, 2185, 1996, 12201, 1998, 2001, 2067, 2012, 4586, 1005, 1055, 2217, 1010, 2040, 2001, 5128, 2185, 2014, 6812, 1012, 7987, 2401, 2099, 11168, 2014, 21766, 28579, 17925, 1998, 2606, 1010, 2059, 1010, 2159, 8061, 1010, 25014, 1010, 1000, 2092, 1010, 17114, 4586, 1010, 1045, 1005, 1049, 5962, 1012, 1000, 2035, 2159, 2357, 2000, 4586, 2317, 1010, 2040, 2246, 13718, 2012, 13158, 1005, 1055, 4615, 1012, 2174, 1010, 2016, 2145, 4900, 2000, 5843, 2159, 2007, 2014, 1012, 2151, 8276, 2108, 2052, 2022, 2667, 9652, 2000, 13109, 12502, 2055, 2005, 2393, 1999, 2019, 7526, 2107, 2004, 1996, 2028, 4586, 2001, 2183, 2000, 2031, 2000, 2507, 1012, 2174, 1010, 2016, 2354, 1996, 5368, 2000, 4863, 2841, 2001, 5106, 2894, 1012, 2016, 2036, 2354, 2008, 9990, 2001, 2025, 2183, 2000, 3013, 2009, 1012, 2016, 2052, 2031, 2000, 2079, 2062, 1529, 2016, 2052, 2031, 2000, 8054, 1012, 2000, 8054, 1996, 3920, 4615, 1010, 2023, 2775, 1010, 2008, 2016, 2001, 4129, 1996, 3606, 1012, 2000, 2191, 2014, 2903, 1012, 1000, 1045, 2113, 2115, 3255, 1010, 1000, 4586, 4900, 2000, 4088, 3432, 1012, 1000, 2129, 2071, 2017, 13433, 18719, 1517, 1000, 7987, 2401, 2099, 3123, 6970, 24455, 1010, 2021, 4586, 3013, 2408, 2014, 1998, 2921, 2183, 1012, 1000, 2054, 2106, 2016, 2079, 2000, 2115, 3159, 1029, 1000, 4586, 2356, 1012, 1000, 2138, 1045, 2113, 2054, 2016, 1005, 1055, 2589, 2000, 3067, 1529, 1998, 25022, 2078, 1005, 1055, 1012, 1000, 7987, 2401, 2099, 1005, 1055, 6130, 13675, 19839, 3709, 1010, 3554, 2090, 4963, 1998, 2784, 2245, 1012, 2633, 1010, 2016, 7152, 2242, 4895, 18447, 13348, 18507, 1012, 1000, 2054, 1029, 3437, 4415, 1529, 2079, 2025, 2022, 4452, 999, 1000, 4586, 6303, 1010, 2358, 25377, 2075, 2028, 3329, 2875, 1996, 2611, 1012, 1000, 2002, 1005, 1055, 4394, 1012, 1045, 2123, 1005, 1056, 2113, 2054, 28238, 2038, 2589, 2007, 2032, 1012, 2115, 2567, 2234, 1998, 2165, 2032, 1529, 2053, 1012, 2002, 3786, 2032, 1998, 2059, 2165, 2032, 2185, 1012, 1045, 2123, 1005, 1056, 2113, 2073, 2002, 2003, 1012, 2008, 1005, 1055, 2339, 1045, 1005, 1049, 2035, 1996, 2126, 2041, 1999, 1996, 2690, 1997, 7880, 1012, 1045, 2123, 1005, 1056, 2130, 2113, 2073, 2000, 2298, 1012, 1000, 4586, 3368, 25636, 14547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8141, 14163, 3363, 2822, 2304, 7739, 6547, 1996, 15469, 12198, 5794, 5436, 4317, 6132, 4144, 1996, 6547, 2822, 2510, 8272, 2379, 1996, 2352, 1997, 15469, 12198, 5794, 2023, 2733, 19157, 1037, 2978, 1997, 1037, 12143, 14081, 2426, 3449, 19723, 8224, 3011, 28697, 10446, 28118, 1024, 2061, 1010, 2074, 2054, 2003, 2023, 9487, 4094, 2944, 2005, 1029, 2292, 1005, 1055, 5136, 2070, 12020, 1024, 1045, 2228, 2017, 2097, 2424, 2008, 2009, 2003, 2109, 2000, 2393, 3345, 6556, 8221, 1997, 25423, 15088, 1010, 1996, 4405, 3238, 28667, 2239, 9738, 1012, 1999, 1996, 2866, 2057, 2941, 2224, 3274, 7013, 12793, 2008, 2024, 7349, 2067, 2000, 1996, 4405, 3081, 1037, 8080, 1010, 2009, 2052, 3711, 2008, 2256, 2814, 6917, 2024, 2478, 5025, 23364, 5957, 1010, 2029, 2003, 2062, 12689, 2926, 2043, 21934, 10924, 29083, 1010, 4385, 1012, 2087, 6581, 2424, 2295, 2009, 2515, 25933, 4371, 2033, 2008, 2111, 2031, 2061, 2172, 2051, 2006, 2037, 2398, 2000, 2424, 2122, 2477, 1012, 1024, 1051, 1007, 2077, 3274, 8389, 2020, 2039, 2000, 1996, 3105, 1010, 3293, 8221, 1999, 2530, 3032, 2020, 2823, 4738, 2006, 25837, 2015, 2008, 2499, 2011, 2383, 1037, 2694, 4950, 4987, 2000, 1037, 8080, 1999, 1996, 1000, 13828, 1000, 24095, 2105, 1037, 2944, 5957, 2429, 2000, 2129, 1996, 4405, 3498, 1996, 7711, 1012, 2320, 7588, 2150, 2204, 2438, 2295, 2027, 4704, 2023, 3294, 1012, 2009, 1005, 1055, 3697, 2000, 5674, 2339, 1996, 2822, 2052, 2175, 2000, 2035, 1996, 4390, 1997, 28667, 16416, 3436, 1037, 5957, 1999, 12973, 2043, 2009, 2052, 2022, 2521, 16269, 1998, 2062, 12379, 2000, 2079, 2061, 1999, 1037, 3274, 1006, 2130, 2235, 4189, 28951, 2411, 2031, 3462, 25837, 12271, 13367, 999, 1007, 1012, 1045, 2001, 10537, 2023, 2007, 1037, 1000, 2767, 1000, 1010, 2010, 2202, 2006, 2009, 2003, 2008, 2009, 2003, 2471, 5121, 2109, 2000, 3231, 1000, 10519, 21026, 1000, 1012, 29464, 8645, 2938, 2015, 1010, 1998, 2030, 2152, 7998, 2948, 1012, 2144, 2009, 1005, 1055, 1037, 4094, 2944, 1010, 1998, 2017, 2064, 2131, 1999, 2200, 4876, 1998, 2298, 2012, 1996, 6987, 2006, 1996, 2598, 2000, 2522, 14343, 13806, 2007, 2054, 1996, 10519, 20057, 12326, 2015, 2265, 2017, 1010, 2009, 2097, 2036, 6509, 2007, 1996, 7613, 1997, 4871, 1997, 1996, 2613, 2518, 1012, 1012, 1012, 2025, 2172, 2391, 2005, 2731, 1996, 2304, 28057, 8221, 2007, 1010, 2004, 1037, 27830, 12504, 2097, 2079, 1037, 2172, 2488, 3105, 2302, 25486, 2115, 2192, 1012, 2023, 8272, 2003, 2881, 2000, 2022, 2464, 2013, 2686, 1012, 1012, 2029, 2522, 1011, 5043, 3973, 2003, 2129, 2111, 2179, 2009, 1012, 1012, 1012, 1037, 2731, 4681, 1010, 2471, 5121, 1010, 2021, 1045, 4797, 2009, 1005, 1055, 2005, 12400, 1012, 1996, 21973, 1999, 1996, 2555, 2023, 5836, 2191, 7739, 3136, 2738, 3697, 1012, 2026, 3984, 2052, 2022, 2008, 2009, 1005, 1055, 1037, 2312, 4094, 1005, 5472, 8758, 1005, 2109, 2005, 2770, 2162, 26393, 2000, 2393, 3345, 6515, 2504, 11437, 1998, 2037, 4075, 1012, 7632, 14131, 1025, 15708, 3720, 1012, 1045, 6655, 2008, 3137, 9291, 1999, 12973, 2001, 2941, 2881, 2000, 3104, 2039, 2070, 2785, 1997, 4713, 2030, 2510, 2311, 2008, 7719, 2917, 2009, 1012, 2008, 2003, 2000, 2360, 1010, 2035, 2008, 4933, 2003, 3564, 2006, 2327, 1997, 1996, 4412, 1997, 1037, 2502, 2311, 1012, 2027, 2763, 2228, 2009, 3084, 2009, 6211, 2005, 4099, 10544, 2000, 2718, 2076, 4337, 1010, 1998, 2453, 2393, 6099, 2009, 2013, 12731, 25301, 2854, 10569, 1997, 5871, 7760, 1012, 2023, 2003, 2025, 2019, 13191, 2518, 1010, 1045, 2113, 2009, 2001, 2589, 1999, 1996, 1057, 1012, 1055, 1012, 2076, 1996, 2117, 2088, 2162, 1998, 1045, 1005, 1049, 2469, 2009, 2001, 2589, 1999, 2060, 3032, 2004, 2092, 1012, 1045, 2876, 2102, 2022, 4527, 2008, 2111, 2145, 2079, 2023, 2651, 1012, 15708, 2000, 2298, 2012, 1010, 2295, 1012, 8224, 7341, 2024, 1037, 8479, 1012, 1045, 4687, 2065, 5035, 18528, 6335, 10919, 2008, 2017, 2064, 2131, 2471, 2004, 2485, 1037, 2298, 2012, 1052, 14001, 6292, 5654, 2013, 8224, 7341, 2004, 2017, 2071, 2065, 2017, 2973, 2045, 1029, 2021, 14742, 2135, 2438, 2130, 2295, 2017, 2064, 19043, 2046, 1996, 6519, 20515, 3420, 1997, 1052, 14001, 6292, 5654, 1010, 1996, 5813, 2005, 2026, 11771, 13608, 2237, 2003, 6135, 10223, 6508, 1012, 3649, 1012, 1045, 3984, 1045, 2525, 2113, 2054, 2009, 3504, 2066, 2182, 1012, 4312, 1010, 1045, 10667, 1996, 5930, 1012, 1011, 1055, 2023, 2003, 6429, 2035, 2011, 2993, 2021, 1037, 1000, 12406, 2245, 1000, 2074, 4930, 2033, 1012, 2054, 3800, 2071, 2045, 2022, 1999, 15696, 1037, 12973, 24254, 2389, 9291, 2275, 1997, 2023, 2946, 1998, 10640, 1029, 1045, 1005, 1040, 2066, 2000, 12826, 2023, 2007, 2070, 7760, 2579, 1000, 2013, 2686, 1000, 2011, 2822, 14549, 2030, 25881, 1012, 1996, 2111, 2008, 2228, 1996, 2149, 8275, 2094, 1996, 4231, 7171, 2024, 27987, 2015, 1010, 2021, 2009, 2003, 9530, 3401, 11444, 3468, 2008, 2859, 8275, 2094, 2070, 2686, 1000, 14152, 1000, 2096, 2027, 2020, 2667, 2000, 2377, 4608, 1011, 2039, 1998, 6011, 2000, 1996, 2088, 1996, 19113, 1997, 27255, 1011, 18798, 11483, 2964, 1011, 25540, 4244, 2964, 1011, 13125, 2964, 1011, 15158, 2964, 4298, 2027, 2106, 2023, 1999, 1996, 2220, 2086, 2130, 2065, 2101, 7012, 4594, 1012, 1052, 1012, 1055, 1012, 1045, 1005, 1049, 2025, 1996, 6358, 14103, 1997, 26604, 4476, 1011, 1011, 2021, 1045, 2572, 2010, 2269, 1012, 2205, 2919, 6064, 2987, 1005, 1056, 4834, 2039, 7100, 1012, 1012, 1012, 1012, 2008, 1005, 1055, 1996, 11850, 2510, 7047, 1012, 1997, 2607, 1010, 2045, 2089, 2022, 1037, 2625, 16491, 4522, 1024, 3504, 2000, 2022, 1037, 2314, 2291, 1999, 1996, 2181, 1012, 1012, 1012, 2672, 2027, 2024, 19518, 2300, 6223, 4385, 1999, 1996, 2168, 2126, 2004, 2149, 6145, 2079, 1013, 2106, 2005, 1996, 11932, 7160, 1013, 16420, 3016, 1999, 1996, 1000, 3016, 2944, 1000, 1999, 7842, 10383, 15909, 2080, 1012, 1037, 6061, 2003, 2008, 2023, 2003, 1037, 18479, 9966, 2944, 1012, 2298, 2012, 8299, 1024, 1013, 1013, 7479, 1012, 3016, 5302, 9247, 1012, 8917, 1013, 2381, 1013, 1038, 2213, 25465, 1012, 16129, 2005, 2054, 2038, 2042, 2589, 2077, 1012, 2009, 3504, 2066, 1037, 1005, 17443, 1005, 5477, 25837, 2000, 2033, 1012, 2073, 2027, 2064, 3231, 2041, 1996, 5269, 2005, 2070, 6451, 17278, 2006, 1037, 2235, 4094, 1012, 6547, 2510, 2622, 10166, 2015, 1996, 4306, 1024, 2026, 3984, 2003, 2009, 2453, 2022, 1037, 4094, 2944, 1997, 2019, 2181, 2104, 3488, 2000, 2022, 5477, 7583, 1012, 2071, 1996, 4462, 2752, 5769, 1996, 7186, 2752, 1029, 2748, 1010, 1996, 18479, 9966, 2944, 2801, 4324, 1037, 3056, 3815, 1997, 2300, 1010, 2004, 2009, 2020, 1012, 1012, 1012, 1012, 1012, 1012, 1998, 2182, 1005, 1055, 2178, 4483, 10293, 1024, 7632, 2045, 1010, 1045, 2123, 1005, 1056, 5373, 5376, 3031, 2739, 3441, 2021, 6737, 4046, 2026, 3086, 2005, 2070, 3114, 1012, 4298, 1996, 2755, 2008, 2009, 1005, 1055, 3263, 5445, 1999, 2023, 2436, 2651, 1998, 1045, 2514, 2066, 2725, 2200, 2210, 1999, 1996, 2126, 1997, 6410, 6912, 999, 1996, 4957, 4987, 2003, 1997, 1037, 2738, 2512, 19144, 8875, 2013, 1996, 2859, 2811, 1012, 2004, 2521, 2004, 2037, 2466, 3632, 2027, 13566, 2000, 2079, 1037, 2312, 3815, 1997, 13116, 1999, 2344, 2000, 2644, 1996, 5532, 18266, 2046, 1037, 4600, 10357, 2181, 1012, 2012, 2034, 1045, 2245, 2023, 4949, 2453, 2074, 4094, 2944, 1997, 1996, 2147, 2349, 2000, 2022, 10607, 1999, 2008, 2181, 1012, 2036, 1996, 8785, 2015, 2123, 1005, 1056, 3243, 2147, 1012, 1999, 2115, 2466, 2017, 14686, 10332, 1060, 8698, 11382, 13728, 3388, 6072, 2029, 2011, 2026, 8785, 2015, 3084, 2055, 2321, 2454, 2675, 5563, 1012, 1996, 2181, 2027, 14686, 2003, 5764, 2575, 1012, 1021, 9076, 1006, 11082, 2025, 2130, 5254, 1996, 6841, 1007, 2029, 2003, 2069, 2055, 1020, 2454, 2675, 5563, 1012, 1012, 1012, 1012, 2092, 2460, 1012, 2065, 2009, 2003, 2074, 1037, 2312, 4094, 4949, 1997, 1996, 2181, 2000, 2022, 2764, 2059, 2503, 2030, 2485, 2000, 1037, 2510, 2918, 2003, 2019, 7812, 2173, 2005, 2009, 1012, 1045, 1005, 1049, 2469, 2008, 3815, 1997, 4475, 2024, 3243, 11748, 12083, 2571, 1999, 2008, 17338, 5302, 7712, 2181, 1998, 1996, 9592, 2009, 2108, 7376, 1006, 1999, 2112, 1998, 2005, 1996, 3033, 1007, 2024, 3243, 2152, 1012, 2174, 1996, 3160, 2145, 27591, 1012, 1012, 1012, 1012, 2339, 2061, 2502, 1029, 7543, 14685, 1037, 2261, 3628, 2987, 1005, 1056, 6031, 2102, 1037, 2944, 2008, 2312, 999, 2057, 2018, 3243, 1037, 2261, 22028, 2006, 2023, 1010, 2164, 1996, 2206, 2738, 12726, 3335, 3512, 1024, 2009, 2165, 2210, 2062, 2084, 2382, 3823, 2005, 2033, 2000, 2424, 1996, 3437, 2000, 2023, 1000, 6547, 1000, 1011, 1998, 2009, 2165, 2053, 2062, 2084, 22868, 1037, 2309, 2773, 1006, 15469, 12198, 5794, 1007, 2046, 8224, 2000, 9611, 2009, 1012, 1037, 2210, 2470, 2006, 2402, 14131, 1005, 1055, 2112, 1010, 2738, 2084, 1996, 2206, 1997, 23012, 1010, 1998, 2743, 3215, 4385, 4385, 1010, 2052, 2031, 3936, 1037, 2200, 5875, 4045, 8476, 1012, 2612, 1010, 2017, 2031, 2357, 1996, 2466, 2046, 1037, 19075, 11007, 1997, 1996, 2120, 4372, 15549, 14544, 1012, 1045, 5987, 2062, 2084, 2008, 2013, 2017, 4364, 1012, 2065, 1045, 2215, 19379, 8162, 1998, 7601, 24997, 3527, 1010, 1045, 1005, 2222, 2175, 2006, 2058, 2000, 10667, 2290, 1010, 1998, 2156, 2054, 1996, 5437, 2100, 11678, 2031, 2000, 2360, 1012, 1012, 1012, 2157, 1010, 2292, 1005, 1055, 5136, 1996, 8866, 2182, 1024, 7211, 2038, 2738, 7968, 2135, 2787, 2000, 3269, 7167, 1998, 7167, 1997, 3628, 1998, 5568, 1999, 1996, 15469, 12198, 5794, 2181, 1999, 2019, 3535, 2000, 2644, 1996, 5532, 9031, 2029, 2003, 8020, 2000, 4121, 6497, 8044, 24060, 2822, 3655, 1012, 2004, 2112, 1997, 2008, 2832, 1010, 2009, 1005, 1055, 2787, 2000, 3857, 1037, 4121, 2944, 1997, 1037, 11621, 2181, 3243, 2070, 3292, 2185, 2006, 1996, 2859, 1013, 2634, 3675, 1012, 2157, 1010, 2288, 7507, 1012, 1012, 1012, 2061, 1010, 2096, 2720, 8512, 2100, 13956, 2125, 2000, 10667, 2290, 1998, 3727, 2149, 1999, 3521, 1010, 2292, 1005, 1055, 2031, 1037, 2261, 2062, 15690, 2029, 1011, 2096, 2025, 4498, 3809, 1011, 2024, 2012, 2560, 2004, 24286, 2004, 1996, 2801, 2008, 7211, 1005, 1055, 4480, 2064, 7200, 2062, 4089, 2004, 1037, 2765, 1997, 1037, 7706, 2595, 19841, 2692, 2213, 5957, 2944, 1012, 1015, 1012, 2009, 2071, 2022, 2005, 5604, 3941, 2005, 2224, 2006, 2060, 11358, 1006, 1041, 2290, 1012, 7733, 2455, 2545, 1007, 1010, 2012, 6806, 8953, 2023, 2876, 1005, 1056, 4863, 2339, 2027, 15826, 2070, 12350, 2455, 1012, 1016, 1012, 3383, 1996, 26141, 2038, 2764, 1037, 2846, 1997, 12973, 20478, 3565, 1011, 3548, 1998, 2003, 5604, 2068, 2041, 2077, 2311, 2440, 1011, 2946, 3924, 1029, 1017, 1012, 2672, 2009, 1005, 1055, 2000, 28679, 1996, 8224, 3011, 5470, 17592, 1024, 1052, 1029, 1018, 1012, 2027, 2453, 2022, 2667, 2000, 20934, 4014, 1037, 9183, 25312, 25572, 2140, 1011, 2053, 3043, 2129, 2172, 2017, 23848, 3490, 12031, 1010, 2009, 2467, 3504, 2004, 2065, 2009, 2003, 2012, 1996, 2168, 4094, 1012, 2023, 2052, 2022, 11867, 14659, 2100, 1012, 1012, 1012, 1019, 1012, 2633, 1010, 1996, 2822, 2343, 2089, 5959, 1037, 3962, 1997, 2250, 8873, 2595, 11643, 1998, 2071, 2031, 3833, 2023, 2004, 12973, 2645, 4224, 1999, 2029, 2000, 4287, 2041, 2010, 6081, 21233, 1012, 9413, 1010, 2748, 1012, 2562, 2635, 1996, 17596, 1012, 7543, 2009, 1005, 1055, 1037, 3538, 1997, 2396, 1029, 2714, 2000, 1996, 16694, 2155, 8299, 1024, 1013, 1013, 7479, 1012, 16694, 7011, 4328, 2135, 1012, 2522, 1012, 2866, 1013, 16694, 1013, 5950, 1012, 16129, 2040, 2777, 2594, 21227, 21376, 4100, 6721, 4109, 1997, 2598, 1012, 4914, 2135, 2023, 2003, 2006, 1037, 4121, 4094, 1010, 2021, 2065, 2017, 2031, 2438, 2111, 1012, 1012, 1012, 2339, 2025, 1012, 2024, 2017, 2469, 2009, 1005, 1055, 2025, 2074, 1996, 2822, 5662, 1997, 2023, 1012, 1012, 1012, 1029, 8299, 1024, 1013, 1013, 7479, 1012, 2022, 19648, 9363, 2102, 1012, 4012, 1013, 2748, 1010, 2021, 2073, 2024, 1996, 11951, 25367, 1998, 1996, 3123, 1011, 13681, 2406, 9151, 1029, 2057, 2123, 1005, 1056, 2228, 1996, 9045, 2097, 2022, 19311, 2075, 2000, 1996, 15469, 12198, 5794, 15158, 2923, 2944, 2352, 1012, 7714, 1045, 2228, 1996, 2822, 2024, 2311, 1996, 8484, 2922, 2944, 4296, 1012, 2040, 2354, 2008, 15876, 9743, 28555, 2001, 2107, 1037, 17792, 2923, 1029, 3849, 2008, 2057, 2031, 3236, 2068, 1999, 2090, 10201, 1996, 9291, 1998, 5815, 1996, 2650, 1998, 19624, 1012, 4638, 2067, 1999, 1037, 2261, 2706, 2000, 2156, 1996, 2210, 4499, 2770, 1998, 1037, 5629, 15876, 1025, 1007, 2092, 1010, 2057, 1005, 2222, 2681, 2009, 2000, 2017, 2000, 5630, 2029, 1997, 1996, 2682, 2003, 1996, 2087, 24286, 1012, 1998, 2096, 2017, 1005, 2128, 8932, 8224, 3011, 1010, 2562, 2019, 3239, 2041, 2005, 14324, 1997, 24072, 2015, 1010, 2040, 3062, 29239, 4333, 2157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2865, 6177, 1010, 22234, 8040, 6806, 2953, 1010, 1049, 1012, 4564, 5634, 1010, 19193, 1996, 23521, 2811, 1012, 27427, 2594, 11266, 2953, 2030, 8790, 2389, 3819, 6121, 17501, 1006, 20965, 1012, 1006, 5371, 18442, 22747, 8004, 14526, 1012, 1997, 1996, 4511, 1010, 2382, 1011, 2753, 1039, 1012, 2034, 4681, 1999, 2553, 1997, 3967, 2007, 2159, 1010, 15544, 12325, 3202, 2047, 18921, 2595, 17245, 2249, 7564, 1997, 2300, 1998, 6148, 2966, 6040, 1012, 24134, 1996, 28155, 2094, 5558, 18447, 20347, 1997, 2023, 2177, 1012, 1015, 1044, 1050, 1050, 2522, 10085, 2475, 2232, 2629, 1051, 18699, 18856, 1039, 1051, 1050, 1021, 1012, 3890, 1010, 2552, 2050, 5390, 3367, 1012, 3671, 16725, 3582, 1996, 6943, 2488, 2043, 2009, 2047, 18921, 2595, 17245, 2249, 9587, 2615, 1011, 13749, 1999, 1996, 19077, 3257, 27427, 2594, 2012, 2953, 1010, 3245, 1025, 6583, 24746, 2571, 2218, 1012, 24209, 2389, 1012, 16923, 14925, 7583, 5007, 24415, 12274, 2290, 1012, 1056, 28394, 2078, 29656, 3770, 3684, 1056, 28394, 2078, 3770, 1998, 6904, 17698, 2000, 5179, 7737, 2278, 1012, 28155, 2094, 5558, 18447, 20347, 1998, 1037, 1037, 100, 1061, 17350, 17350, 2050, 5890, 8889, 24096, 100, 18921, 2595, 3318, 5576, 1037, 2100, 29278, 10288, 6202, 19413, 4391, 2057, 2156, 2008, 1996, 4748, 5558, 18447, 2895, 1997, 7367, 1006, 1017, 1007, 2006, 7367, 1006, 1017, 1007, 2038, 1996, 3670, 4748, 1006, 1037, 1010, 1037, 1007, 1006, 1060, 1010, 1061, 1007, 1006, 22260, 1010, 1037, 2100, 22260, 1095, 1037, 1007, 1012, 1019, 1006, 4466, 1007, 1016, 1012, 2016, 4669, 2143, 3340, 1998, 10047, 8490, 1011, 1999, 2098, 2008, 2016, 2052, 4553, 2673, 2055, 22093, 24544, 1012, 2786, 1012, 2590, 1999, 2087, 12107, 1010, 2028, 3685, 5587, 2035, 20752, 2000, 1996, 5396, 2012, 2345, 14061, 1998, 3573, 2009, 1012, 5576, 4810, 5396, 4668, 1997, 1023, 1012, 1015, 19875, 1997, 13114, 15928, 2063, 3893, 2491, 26572, 24879, 2047, 18921, 2595, 17245, 2249, 1996, 2034, 7270, 1999, 1996, 27427, 5555, 8844, 1998, 4666, 12246, 1012, 2410, 1007, 1052, 1174, 16344, 2138, 1996, 2492, 2003, 5410, 2057, 2064, 7868, 2008, 21461, 2692, 2546, 2487, 1010, 20069, 2063, 1010, 1064, 20069, 1064, 1042, 2692, 1056, 1054, 1039, 1052, 3931, 7287, 9402, 3127, 1020, 1012, 1999, 1039, 1012, 7918, 1010, 2012, 2060, 2335, 2030, 1999, 2060, 2752, 1996, 3129, 2003, 1010, 1998, 1999, 2116, 8146, 2027, 27427, 5555, 3406, 2953, 2004, 12746, 1012, 2256, 6594, 4269, 1999, 1996, 11641, 2047, 18921, 2595, 17245, 2249, 1997, 1996, 12716, 2094, 4753, 1012, 22435, 5054, 6137, 1010, 1061, 1012, 6912, 1018, 1012, 2047, 18921, 2595, 17245, 2249, 17011, 2003, 2411, 1037, 3291, 1010, 2009, 2003, 2036, 2411, 1997, 3330, 2224, 1012, 1020, 1010, 1047, 19413, 4859, 5340, 19418, 1010, 1054, 1040, 1012, 4195, 1997, 11311, 15420, 2012, 28873, 9987, 1039, 1012, 1999, 10085, 9869, 5396, 1998, 4297, 19761, 2618, 2012, 3486, 1081, 1016, 7737, 2278, 2005, 2324, 1011, 4466, 2847, 1012, 1996, 2139, 10536, 7265, 3064, 5396, 2003, 2200, 1044, 2100, 16523, 2891, 26461, 1012, 26489, 3385, 1010, 2047, 18921, 2595, 17245, 2249, 1012, 6611, 1014, 1012, 18235, 6072, 1010, 1046, 1012, 2340, 1010, 2047, 2259, 4345, 2118, 2811, 1012, 1999, 3572, 5994, 8700, 3447, 1997, 1996, 9947, 1010, 1996, 3806, 13181, 18447, 19126, 8417, 2024, 16578, 2034, 1010, 2144, 27427, 2594, 28555, 2099, 8310, 1997, 21961, 14477, 5910, 2953, 8270, 9947, 2089, 2022, 2556, 1012, 2826, 1012, 12297, 4502, 4328, 2140, 1007, 1010, 2023, 18215, 2779, 4332, 2041, 2000, 2022, 3893, 1012, 2065, 2047, 18921, 2595, 17245, 2249, 2160, 2003, 4470, 5162, 3468, 1010, 2812, 9626, 2015, 1010, 1998, 2482, 21081, 9335, 1012, 5754, 1012, 4002, 17914, 1012, 1996, 5377, 7524, 2000, 2047, 18921, 2595, 17245, 2249, 4475, 9152, 14808, 8844, 1996, 15923, 2083, 2216, 5847, 2003, 3625, 2005, 7142, 20858, 1997, 1996, 11311, 2291, 1998, 7607, 2339, 4659, 2312, 14061, 1997, 10047, 23041, 8649, 4135, 8569, 24412, 2064, 2022, 7594, 1999, 1996, 20194, 1997, 3671, 4176, 1012, 1996, 10495, 2671, 2029, 16478, 1996, 9164, 1997, 8331, 8841, 2000, 1996, 29379, 2890, 2595, 2066, 2023, 2004, 3746, 2592, 2003, 2170, 4834, 5107, 6648, 1010, 1998, 2009, 2003, 5186, 6179, 2005, 25037, 2075, 8331, 13352, 1012, 1018, 1011, 3461, 2475, 4563, 1012, 15923, 8670, 21162, 25064, 24728, 27887, 5809, 18856, 14122, 14615, 5007, 13292, 10139, 18856, 14122, 14615, 5007, 2566, 19699, 15542, 2015, 18856, 14122, 14615, 5007, 11867, 14604, 6914, 2229, 2358, 9331, 29598, 24163, 27631, 8740, 23446, 1999, 10085, 25100, 2012, 9468, 29656, 12935, 2226, 6391, 2620, 2475, 2531, 1011, 1015, 1010, 2199, 2047, 18921, 2595, 17245, 2249, 2531, 1011, 1015, 1010, 2199, 14378, 18827, 2047, 18921, 2595, 17245, 2249, 12457, 24434, 2531, 1011, 1015, 1010, 2199, 25191, 21926, 2531, 1011, 1015, 1010, 2199, 3930, 2204, 2204, 2204, 2204, 2204, 2005, 2836, 5604, 1012, 2023, 2003, 7182, 2005, 2028, 5986, 1011, 2092, 5127, 1012, 21929, 11705, 1010, 1049, 1012, 4868, 2509, 2440, 1011, 26712, 18176, 3931, 5187, 2487, 1015, 1016, 1017, 1018, 1019, 1020, 1042, 2080, 10151, 1022, 1023, 2184, 2340, 2260, 2410, 2403, 2321, 2385, 2459, 2324, 2047, 18921, 2595, 17245, 2249, 2322, 2538, 2570, 2603, 2484, 2423, 2656, 2676, 2654, 2756, 2382, 2861, 3590, 5896, 2410, 1012, 1006, 2005, 2597, 2423, 1997, 1996, 16215, 25346, 26010, 20303, 2015, 1010, 17350, 1015, 2138, 1015, 5070, 3170, 2003, 18921, 20348, 1010, 1998, 17350, 2620, 2410, 1010, 5052, 1996, 11748, 10586, 1012, 1018, 10903, 1997, 9381, 1998, 3091, 1997, 2668, 9153, 7076, 2007, 2391, 1997, 19143, 1012, 1006, 2456, 1007, 19184, 1997, 6897, 5876, 1012, 1010, 20287, 1007, 1058, 2487, 1087, 1087, 1087, 1058, 2213, 1056, 1006, 1044, 2487, 1012, 3391, 1996, 4563, 1997, 2023, 16012, 2078, 2453, 2047, 18921, 2595, 17245, 2249, 5875, 2838, 1999, 1996, 24309, 3399, 1012, 2044, 1996, 3988, 4646, 1010, 1037, 2558, 1997, 1021, 2000, 2184, 2420, 2003, 2734, 2005, 3967, 14639, 2000, 4503, 1010, 26090, 1037, 4119, 13004, 2089, 2022, 2445, 1012, 6728, 2378, 1012, 11409, 1010, 1052, 1012, 1996, 2402, 2158, 2234, 2000, 2033, 2007, 2023, 3291, 1012, 1007, 1025, 2005, 7715, 1010, 1056, 1010, 2682, 2322, 7737, 1010, 5587, 1006, 1056, 1011, 2322, 1007, 1060, 2410, 2000, 1996, 5159, 9963, 1998, 2005, 7715, 2917, 2322, 7737, 4942, 6494, 6593, 2047, 18921, 2595, 17245, 2249, 1011, 1056, 1007, 1060, 2403, 1010, 2000, 6855, 1996, 6149, 3643, 2012, 2322, 7737, 1012, 1016, 10763, 13787, 13508, 2015, 20549, 2260, 1012, 1006, 1038, 1007, 5646, 1996, 3378, 23253, 2005, 1996, 4946, 10178, 2553, 1012, 1007, 3499, 2005, 1996, 19309, 1997, 3746, 5425, 1012, 15017, 2581, 21486, 1007, 3523, 2497, 1056, 4413, 1062, 10790, 1062, 19481, 1006, 12098, 1012, 1996, 2117, 2930, 2097, 3104, 1996, 14260, 1010, 19389, 1010, 1998, 9617, 20389, 1011, 24582, 2389, 3896, 1997, 5107, 29516, 1012, 13970, 21709, 7088, 1010, 17405, 1010, 19594, 1006, 1019, 1007, 1010, 19711, 1006, 1019, 1007, 28635, 1010, 1050, 1012, 6227, 2581, 1012, 1996, 25613, 3160, 2323, 2650, 1996, 3350, 2029, 2038, 2042, 2030, 2097, 2022, 3591, 2012, 3979, 2011, 1996, 2755, 9390, 7175, 1996, 2346, 3785, 1010, 1996, 2346, 3302, 4650, 1010, 1996, 24353, 2013, 9876, 1997, 1996, 2047, 18921, 2595, 17245, 2249, 1010, 1996, 4860, 1997, 1996, 2250, 1010, 1996, 12824, 29449, 2015, 1010, 1996, 13428, 7749, 1010, 1996, 3091, 1997, 1996, 8301, 2094, 6017, 1010, 1996, 18921, 2595, 7177, 2897, 1997, 1996, 4316, 2012, 1996, 2322, 2340, 1997, 1996, 4926, 1010, 1998, 2151, 2060, 5609, 2029, 1996, 2047, 18921, 2595, 17245, 2249, 5683, 7882, 2000, 2010, 2030, 2014, 4106, 1012, 2009, 2515, 2061, 2478, 2023, 23032, 1012, 1006, 2192, 5228, 3571, 1012, 1017, 1038, 1012, 2009, 2003, 9398, 2069, 2065, 1996, 8674, 2003, 2512, 1011, 2047, 18921, 2595, 17245, 2249, 1999, 1996, 2391, 1047, 1012, 18921, 10288, 4090, 1012, 6282, 2629, 1014, 1012, 2047, 18921, 2595, 17245, 2249, 1996, 5396, 1998, 4297, 19761, 2618, 2047, 18921, 2595, 17245, 2249, 3486, 1081, 1016, 7737, 2278, 2005, 2324, 1011, 2484, 2847, 1012, 2786, 1012, 5678, 1010, 2009, 16691, 1996, 3643, 1997, 16911, 1996, 9859, 1997, 1037, 4031, 7751, 2000, 6509, 2047, 18921, 2595, 17245, 2249, 7209, 8720, 1997, 3350, 4663, 1012, 1011, 1996, 2047, 18921, 2595, 17245, 2249, 1997, 20377, 5313, 24556, 2015, 2003, 3936, 2011, 1996, 5852, 2005, 2489, 9754, 12737, 1998, 2011, 4106, 1997, 1996, 6683, 1012, 26718, 2094, 16129, 20950, 3619, 11039, 25856, 2860, 2860, 2860, 1012, 5278, 8060, 2492, 2111, 2689, 1996, 1062, 8004, 4143, 2290, 18921, 2595, 27427, 4313, 1997, 1996, 5975, 1998, 2009, 2003, 2825, 2000, 11949, 17011, 2015, 2043, 1996, 8168, 14983, 2003, 2019, 16109, 2335, 1996, 19934, 1012, 16012, 2140, 1012, 7749, 1997, 3756, 18554, 1049, 6097, 10464, 3490, 1010, 4385, 1012, 1999, 2107, 3572, 1037, 11658, 17886, 3258, 2007, 1037, 13587, 8902, 20679, 11649, 2063, 4820, 2358, 2072, 1010, 1998, 2059, 1037, 7132, 2099, 17886, 3258, 2007, 8902, 20679, 11649, 2063, 3729, 2483, 19707, 2063, 2030, 1996, 10867, 4747, 7274, 2378, 2089, 6011, 2062, 4621, 1999, 11381, 14874, 13656, 4442, 1012, 5474, 4344, 2075, 2156, 3313, 19241, 1012, 2174, 1010, 2043, 2057, 5136, 1996, 3896, 1997, 1996, 14983, 1997, 1996, 7861, 23316, 2006, 1996, 14858, 4400, 12792, 2015, 1010, 1996, 6635, 3267, 1997, 3679, 18921, 2595, 6202, 2291, 8735, 21203, 2097, 2468, 2062, 2590, 1012, 11463, 10698, 1006, 1045, 2620, 2683, 2072, 1007, 11463, 10698, 2430, 3059, 12731, 2015, 1011, 1042, 3419, 2015, 5911, 4293, 18914, 2692, 6486, 17365, 2683, 17365, 13285, 2575, 2322, 1011, 1014, 2760, 4261, 1011, 1016, 1051, 2581, 6535, 20713, 22030, 2321, 2756, 1011, 1014, 5585, 2575, 5401, 2629, 2756, 19379, 19379, 2003, 4663, 2011, 4487, 16643, 20382, 1997, 1996, 10768, 10867, 14088, 10869, 1997, 11942, 1011, 5699, 2030, 2062, 4703, 2013, 11942, 1011, 5699, 9587, 27102, 2229, 1012, 16012, 4168, 14905, 18053, 2015, 1006, 2112, 1053, 12649, 1011, 5533, 15856, 1998, 3141, 3665, 13853, 1010, 20843, 1010, 2753, 1010, 5388, 6213, 2072, 4767, 1012, 1997, 1996, 29607, 2024, 7182, 1010, 2062, 2084, 1016, 1997, 8161, 9415, 2024, 2556, 1012, 2138, 2017, 2409, 2224, 1996, 2466, 2008, 2017, 3726, 2042, 4363, 1037, 2698, 1011, 2095, 1011, 2214, 4268, 14978, 2005, 2086, 1998, 2086, 1012, 2065, 12943, 23296, 21823, 9323, 2515, 2025, 5258, 2007, 26572, 1037, 2030, 1038, 1010, 3231, 1996, 27152, 2007, 11840, 8411, 1051, 3424, 8043, 2819, 6819, 1012, 4942, 21532, 1006, 1022, 1012, 8821, 2057, 2064, 2360, 2008, 15057, 2306, 1037, 4857, 6741, 1159, 2243, 2487, 1159, 2243, 2487, 1179, 2094, 2379, 1996, 10768, 28550, 3302, 9958, 1010, 2008, 1999, 1996, 11071, 2686, 2965, 1052, 1179, 2094, 2615, 2546, 1012, 14925, 5484, 2102, 1999, 3245, 1998, 2002, 2366, 2004, 1996, 3559, 1997, 2023, 2590, 3485, 2005, 2260, 2086, 1012, 1016, 1011, 1016, 1012, 2048, 1997, 1996, 28024, 24972, 1010, 24972, 1037, 1998, 1038, 1010, 2024, 2059, 2109, 2005, 7901, 12987, 10453, 1038, 10994, 4106, 1010, 1996, 2353, 2028, 1010, 2047, 18921, 2595, 17245, 2249, 1039, 1010, 2064, 2022, 2109, 3525, 2005, 6064, 10453, 1038, 10994, 4106, 2065, 9059, 1012, 11658, 1042, 16856, 2890, 2595, 1997, 28848, 13599, 4962, 3670, 2090, 5099, 1011, 13433, 26468, 2271, 1010, 14255, 3089, 14192, 17132, 1010, 1998, 11968, 2666, 9080, 17132, 2044, 11928, 8713, 5648, 3447, 1012, 4297, 1012, 24194, 4526, 8663, 3367, 6820, 24817, 1012, 2087, 11707, 4297, 19969, 2015, 2024, 2580, 2000, 7461, 8907, 2011, 3078, 6808, 1012, 1037, 6742, 7814, 1997, 1996, 2047, 18921, 2595, 17245, 2249, 1997, 17850, 4160, 4747, 2003, 3091, 1997, 1996, 6602, 2030, 1996, 3447, 2051, 2920, 1012, 4185, 1007, 29129, 22886, 20960, 1010, 5716, 1018, 1011, 2019, 18622, 3630, 1011, 1018, 1011, 2482, 5092, 11031, 11636, 2100, 1011, 1015, 1011, 17770, 8516, 24548, 14615, 3170, 1006, 1017, 1012, 1996, 2502, 7700, 1006, 2332, 6819, 7983, 1010, 4849, 1007, 1012, 4315, 18900, 4747, 1012, 20926, 13606, 1006, 2156, 15725, 1045, 1010, 20965, 1012, 2459, 6887, 2891, 8458, 10050, 26860, 2099, 4008, 2629, 5332, 1006, 8382, 10949, 1007, 1016, 1012, 2348, 7532, 3512, 1011, 8153, 14983, 2003, 16345, 8319, 2012, 1021, 1040, 2695, 9080, 2278, 3949, 1012, 2348, 1996, 2535, 2047, 18921, 2595, 17245, 2249, 17076, 10735, 3597, 7685, 2003, 2145, 2108, 2764, 1010, 1996, 28667, 1011, 13958, 3490, 5422, 3594, 2421, 14669, 20066, 10222, 3560, 12818, 11826, 22160, 2102, 6970, 8159, 1011, 14841, 5644, 1010, 2695, 18447, 2121, 15338, 19301, 9312, 1997, 22520, 1010, 8720, 1997, 12731, 14277, 14778, 1998, 3675, 4179, 22520, 1010, 26261, 3372, 10813, 1010, 1998, 9855, 1997, 8853, 2000, 6162, 2488, 13105, 2007, 8491, 12763, 1012, 1999, 1039, 1012, 4293, 14841, 2239, 1997, 1996, 7815, 9345, 17822, 4383, 2000, 4318, 2791, 1012, 4247, 2006, 3931, 17267, 2478, 16129, 1035, 4248, 14192, 3429, 2620, 3931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 14387, 6671, 10778, 14163, 16089, 1996, 2516, 1997, 2023, 2695, 2003, 1037, 3763, 7655, 2008, 2965, 1523, 2947, 5235, 1996, 8294, 1997, 1996, 2088, 1012, 1524, 1006, 13718, 1010, 1045, 2018, 2000, 2224, 16948, 2000, 2131, 2008, 2612, 1997, 2026, 2274, 2086, 1997, 2152, 2082, 3763, 1012, 2274, 2086, 1997, 24443, 26910, 1998, 5449, 1998, 1045, 2064, 1521, 1056, 2131, 2627, 1523, 24677, 9765, 16021, 7068, 1524, 4902, 1012, 4241, 14536, 1012, 1007, 2009, 1521, 1055, 3227, 2109, 2000, 2812, 1523, 1996, 2477, 1997, 2023, 2088, 2024, 25085, 1012, 1524, 2009, 1521, 1055, 1037, 7655, 2008, 3202, 10538, 2046, 2026, 2132, 1010, 2005, 3649, 4326, 3114, 1010, 2043, 1045, 3191, 1996, 8874, 7483, 2008, 1996, 2019, 14762, 1010, 1996, 2423, 1011, 2158, 8118, 2006, 15550, 5302, 2239, 2008, 1045, 1521, 2310, 2042, 1037, 2266, 1997, 2005, 1996, 2488, 2112, 1997, 2274, 2086, 1010, 2003, 17521, 2049, 4303, 8642, 1012, 1996, 2203, 1997, 1996, 2019, 14762, 2234, 2041, 1997, 2187, 2492, 2004, 1037, 2613, 5213, 2000, 2035, 1997, 2149, 1025, 2057, 2525, 2354, 2008, 1996, 8118, 2001, 2383, 3314, 2893, 7455, 2039, 2005, 4937, 6305, 2135, 6491, 23530, 1010, 1998, 2008, 2057, 1521, 1040, 2763, 2031, 2000, 4530, 2067, 2000, 2048, 2184, 1011, 16042, 2013, 1037, 2423, 2012, 2560, 2005, 2085, 1010, 1998, 2008, 2057, 2428, 2134, 1521, 1056, 3243, 2031, 1996, 2111, 2130, 2000, 2079, 2048, 2184, 2015, 2012, 2560, 1999, 1996, 6234, 2925, 1012, 2021, 2000, 2131, 1996, 2773, 2008, 1996, 3738, 2018, 2787, 2000, 4139, 1996, 13354, 4498, 2001, 1037, 24646, 10087, 2099, 1529, 1998, 2664, 1010, 2559, 1999, 22307, 13102, 22471, 2012, 1996, 5751, 1010, 2009, 1521, 1055, 3294, 3305, 3085, 1012, 1996, 2019, 14762, 1010, 2017, 2156, 1010, 2003, 2242, 1997, 2019, 5866, 8118, 1012, 2009, 2761, 2318, 2004, 1037, 10791, 3947, 2090, 2093, 2235, 4509, 15550, 5302, 2239, 1054, 2361, 9054, 2015, 1516, 1996, 8505, 2075, 8691, 6338, 1010, 2053, 9048, 22779, 1010, 1998, 1996, 14951, 1997, 5192, 1516, 2000, 2433, 1037, 23548, 4563, 2871, 1011, 2158, 8118, 1999, 2397, 2384, 1013, 2220, 2294, 1012, 2009, 2001, 2059, 1010, 1998, 2467, 2038, 2042, 1010, 1037, 2512, 1011, 9054, 8118, 1012, 2009, 1521, 1055, 2196, 2042, 1037, 9095, 2000, 2022, 1999, 1037, 3327, 9054, 2000, 2022, 1037, 2112, 1997, 1996, 2019, 14762, 1012, 1996, 8118, 4105, 2136, 1010, 2761, 2104, 1996, 14458, 3094, 1997, 16215, 2278, 1521, 1055, 15451, 2912, 19510, 1010, 2003, 1037, 3584, 9178, 2013, 1996, 4105, 1997, 2151, 1997, 1996, 9054, 2015, 2008, 2089, 2022, 2920, 1006, 2348, 2087, 1997, 1996, 8118, 3738, 2024, 2036, 3738, 1999, 2037, 7972, 9054, 2015, 1007, 1012, 2013, 1996, 2707, 1010, 1996, 2019, 14762, 1521, 1055, 6481, 2020, 3492, 3722, 1012, 2057, 2354, 2057, 4694, 1521, 1056, 2183, 2000, 2022, 1037, 8241, 1011, 2877, 14967, 8118, 1010, 2021, 2057, 2020, 2183, 2000, 2272, 4810, 1998, 2079, 2256, 2190, 1012, 23530, 2788, 2253, 2048, 2420, 1037, 2733, 1010, 2093, 2000, 2176, 2847, 1037, 2154, 1012, 2535, 13068, 2001, 2025, 3223, 1010, 2021, 2001, 3039, 1998, 2052, 2022, 9768, 1012, 2613, 2166, 2234, 2077, 8118, 2166, 1010, 2144, 2087, 1997, 1996, 8118, 1521, 1055, 2372, 2020, 2402, 8390, 1010, 2116, 2007, 2945, 1012, 2478, 2216, 3722, 3513, 1010, 1996, 2019, 14762, 2253, 2046, 23548, 4563, 2153, 1529, 1998, 2153, 1529, 1998, 2153, 1010, 1998, 2776, 20164, 17768, 11802, 2891, 2116, 2335, 1012, 1006, 2045, 2024, 2019, 26548, 28247, 2008, 2145, 2180, 1521, 1056, 2175, 2000, 23548, 4563, 2130, 2651, 2138, 2027, 1521, 2128, 2061, 5305, 1997, 2009, 1012, 1007, 2059, 2045, 2001, 2304, 9328, 21039, 1010, 2007, 11265, 14971, 2937, 2776, 4634, 1012, 1999, 5255, 16282, 1010, 1996, 2019, 14762, 3631, 2046, 1037, 3232, 1997, 2184, 1011, 16042, 2005, 13173, 27922, 2319, 1010, 2059, 9114, 1998, 20228, 15096, 2083, 2172, 1997, 1996, 2423, 1011, 2158, 4180, 1012, 16517, 4095, 11467, 16679, 2001, 2776, 11438, 1010, 2021, 2025, 2302, 12436, 4095, 3501, 3173, 2149, 2039, 2005, 1037, 3204, 1998, 1037, 2431, 1012, 10556, 2884, 1521, 22794, 2015, 1010, 13718, 1010, 2134, 1521, 1056, 2131, 7196, 2098, 2127, 2044, 8983, 1017, 1012, 1014, 3333, 1998, 13164, 1011, 11265, 12881, 2098, 1996, 2954, 1012, 1996, 8118, 2036, 2253, 1017, 1013, 1019, 1999, 1044, 2100, 25787, 1010, 1998, 1006, 2044, 8983, 1017, 1012, 1014, 1007, 1021, 1013, 1023, 1999, 2028, 4440, 2000, 1996, 2304, 3379, 1012, 3103, 4381, 1029, 16780, 1012, 2021, 2009, 2001, 1999, 14532, 1997, 1996, 5622, 2818, 2332, 2073, 1045, 2228, 1996, 2019, 14762, 2428, 2234, 2046, 2256, 2219, 1012, 2748, 1010, 2057, 2734, 1996, 2382, 1003, 23176, 2000, 3102, 2396, 14949, 1010, 1998, 2057, 2134, 1521, 1056, 2079, 2009, 2127, 3054, 1011, 2244, 1997, 2197, 2095, 1012, 2748, 1010, 2009, 2165, 2149, 2176, 2706, 1997, 2524, 2147, 2000, 2131, 2130, 2008, 2309, 1048, 2243, 3102, 1012, 2021, 2054, 2001, 2307, 1010, 2004, 1037, 20696, 1999, 1996, 8118, 1010, 2001, 2000, 3422, 2149, 1010, 2004, 1037, 8118, 1010, 5335, 2004, 2057, 2333, 2083, 14532, 1521, 1055, 2423, 1011, 2158, 4180, 1010, 2013, 6583, 20348, 14672, 2015, 2000, 17359, 8566, 2906, 2000, 3979, 1997, 1996, 11669, 3238, 2000, 3256, 24375, 2078, 15364, 1012, 2004, 1996, 9590, 2288, 2062, 3697, 1998, 4087, 2083, 1996, 2086, 1010, 2057, 2288, 2488, 1012, 2057, 2150, 2625, 1997, 1037, 26128, 1011, 2486, 2177, 1006, 1996, 2019, 14762, 1521, 1055, 2220, 23548, 4563, 8367, 2001, 1523, 1996, 1040, 4523, 8118, 1010, 1524, 2138, 1997, 2129, 2172, 2057, 2716, 1999, 7831, 2000, 19783, 2015, 1998, 7286, 1007, 1998, 2062, 1997, 1037, 1523, 3102, 1996, 5795, 2750, 1037, 8833, 11968, 3366, 2008, 1521, 1040, 2191, 2060, 11217, 4756, 1524, 8118, 1012, 2061, 2129, 2106, 2057, 2175, 2013, 1996, 2152, 1997, 2019, 2396, 14949, 3102, 2000, 4487, 19022, 5685, 2075, 1996, 8118, 1999, 2625, 2084, 2176, 2706, 1029, 1037, 2261, 4436, 1010, 1045, 3984, 1010, 4606, 2070, 1045, 1521, 1049, 2469, 1045, 1521, 1049, 2025, 14452, 2000, 2144, 1045, 1521, 1049, 2025, 2019, 2961, 1012, 1996, 3431, 1999, 4937, 6305, 2135, 6491, 23530, 6551, 5684, 2184, 1011, 2158, 11217, 1012, 2027, 1521, 2128, 16325, 1010, 6082, 2000, 2404, 2362, 1010, 2172, 2625, 10178, 2006, 4177, 1010, 1998, 2085, 4530, 1996, 2168, 8840, 4140, 1010, 2074, 2625, 1997, 2009, 1012, 2057, 2439, 2195, 2111, 2040, 2359, 2000, 6293, 2007, 2184, 1011, 16042, 2612, 1997, 1996, 2062, 19633, 2423, 1012, 2178, 3114, 1010, 2028, 2008, 2038, 4635, 3709, 2033, 2144, 2009, 2001, 2623, 1010, 2003, 9054, 10106, 1998, 2566, 5705, 1012, 1996, 2892, 1011, 9054, 8118, 2003, 4593, 3243, 4678, 1999, 1996, 7289, 2088, 1997, 10166, 1010, 2021, 2045, 1521, 2310, 2042, 2116, 1997, 2068, 2006, 15550, 5302, 2239, 2005, 2070, 3114, 1516, 2057, 2123, 1521, 1056, 2424, 2068, 5866, 1012, 2174, 1010, 2007, 2372, 7932, 2013, 2195, 2367, 9054, 2015, 1006, 2030, 2130, 2053, 9054, 1007, 1010, 2256, 2423, 1011, 2158, 2064, 1521, 1056, 3073, 2151, 2028, 9054, 1996, 9054, 16360, 1010, 9054, 26726, 1010, 2030, 9054, 12336, 6810, 8163, 2008, 1037, 3442, 2028, 1011, 9054, 8118, 2064, 1012, 11506, 2008, 2007, 1996, 2755, 2008, 2195, 1997, 1996, 6922, 9054, 2015, 1999, 1996, 3618, 2019, 14762, 4418, 1997, 2814, 2024, 2085, 1010, 2030, 2574, 2097, 2022, 1010, 5214, 1997, 5128, 2362, 1022, 2111, 2000, 2433, 1996, 4563, 1997, 1037, 12042, 9054, 1011, 4208, 2184, 1011, 2158, 1010, 1998, 2008, 1521, 1055, 2178, 4894, 2114, 1037, 2892, 1011, 9054, 2423, 1011, 2158, 1012, 21689, 2071, 2031, 13332, 2023, 2007, 2070, 4066, 1997, 2490, 2005, 9054, 21277, 1010, 2172, 2004, 11578, 1999, 6574, 3784, 2064, 2433, 21277, 2000, 5114, 6666, 1010, 2021, 2027, 2056, 2220, 2006, 1999, 1996, 4937, 6305, 2135, 6491, 2458, 5402, 2008, 9054, 4707, 2490, 2001, 2157, 2041, 1012, 1999, 1996, 2203, 1010, 2295, 1010, 1045, 3984, 1996, 5221, 3114, 2003, 2763, 6402, 5833, 1012, 2070, 1997, 2256, 2961, 2177, 2031, 2042, 1999, 2173, 2005, 2093, 2030, 2176, 2086, 1012, 2008, 1521, 1055, 1037, 2146, 2051, 2000, 2031, 2000, 14906, 8870, 1012, 2045, 1521, 1055, 2467, 2070, 3689, 2007, 1037, 8118, 1010, 2130, 1037, 4201, 1011, 2067, 2028, 2066, 14635, 1010, 1998, 2009, 11651, 2044, 1037, 2096, 1012, 2043, 2017, 1521, 2310, 2042, 3554, 2083, 2536, 2423, 1011, 2158, 16547, 2005, 1037, 3232, 1997, 2086, 1010, 1998, 2059, 2017, 1521, 2128, 2559, 2012, 1037, 8118, 5512, 2005, 4937, 6305, 2135, 6491, 2008, 3432, 2097, 2025, 3499, 1037, 2423, 1011, 2158, 1010, 1998, 2059, 2031, 2000, 3066, 2007, 22623, 1999, 2536, 4280, 1998, 14541, 2111, 2046, 2184, 1011, 16042, 1998, 11155, 10642, 5689, 2009, 2039, 2349, 2000, 6402, 5833, 1997, 2037, 2219, 1998, 2893, 2111, 23636, 2039, 1998, 3201, 1529, 1045, 2123, 1521, 1056, 7499, 2068, 2005, 4815, 1996, 13354, 1010, 9826, 1012, 2009, 2165, 1037, 2379, 1011, 27061, 3947, 2011, 2256, 3738, 2000, 2131, 2149, 2083, 24185, 19646, 2243, 1998, 2131, 2149, 2008, 2396, 14949, 3102, 1012, 2027, 1521, 2128, 7314, 1012, 2027, 2074, 2215, 2000, 2377, 1996, 2208, 2153, 1012, 2040, 2064, 11693, 28121, 3351, 2068, 2008, 1029, 2085, 1010, 2026, 3167, 5328, 2006, 1996, 2019, 14762, 2024, 2092, 1011, 8832, 2006, 1996, 2695, 12964, 2008, 5622, 2818, 2332, 1011, 2423, 3102, 1012, 2009, 1521, 1055, 2025, 2074, 1523, 1037, 8118, 1524, 2000, 2033, 1010, 2009, 1521, 1055, 1037, 2312, 3668, 2177, 1997, 2814, 2008, 2031, 2445, 2033, 1996, 4495, 2000, 10938, 2013, 1996, 6659, 6750, 2040, 9845, 2046, 23548, 4563, 1999, 3054, 1011, 2294, 2000, 1996, 16286, 17824, 4951, 2040, 2001, 2006, 2391, 1996, 2305, 2008, 2396, 14949, 2273, 11031, 4014, 2633, 3062, 1012, 2750, 2035, 1996, 2524, 2335, 1010, 2750, 2471, 3974, 2026, 8118, 3962, 1037, 3232, 1997, 2335, 1998, 2383, 2000, 5335, 2000, 2994, 1010, 2750, 2035, 1996, 13387, 2015, 1998, 11785, 1998, 2397, 6385, 1998, 12051, 1010, 1996, 2019, 14762, 2038, 2042, 1037, 6919, 1998, 12476, 4536, 2005, 2033, 2058, 2176, 1998, 1037, 2431, 2086, 1012, 2296, 9432, 1998, 5958, 2305, 2005, 1037, 3232, 1997, 2086, 2085, 1010, 1045, 1521, 2310, 2124, 2073, 1045, 1521, 1040, 2022, 1998, 2054, 1045, 1521, 1040, 2022, 2725, 1529, 3564, 2006, 18834, 15928, 2080, 2007, 2484, 2030, 2061, 2060, 2111, 1010, 2195, 1997, 2068, 7144, 1010, 5962, 2000, 1037, 6187, 10175, 21869, 1997, 1523, 2115, 3566, 1521, 1055, 2227, 1524, 13198, 1010, 2256, 2708, 4937, 14906, 2121, 1520, 1055, 15701, 1997, 1523, 13366, 9463, 1010, 2693, 999, 1524, 1010, 9918, 2055, 3251, 8942, 2030, 10646, 2001, 1996, 2488, 16251, 1010, 1998, 2035, 1996, 2717, 1012, 1998, 2085, 2008, 1521, 1055, 2908, 1012, 2009, 1521, 1055, 2025, 2035, 2919, 1012, 2012, 2560, 2048, 2184, 1011, 16042, 1010, 2672, 2062, 1010, 2024, 2183, 2000, 2022, 5716, 2041, 1997, 1996, 4487, 17668, 10992, 1997, 1996, 2364, 2423, 1011, 2158, 1012, 2057, 2145, 2031, 2256, 1999, 1011, 2208, 11834, 3149, 1998, 18834, 1010, 1998, 2057, 1521, 2128, 2145, 2814, 1998, 29409, 2040, 2097, 14779, 2030, 8118, 2007, 2169, 2060, 2013, 2051, 2000, 2051, 1012, 1996, 2111, 2024, 2145, 2045, 1012, 2021, 1996, 2502, 2423, 1011, 2158, 1010, 1996, 2430, 3579, 1997, 1996, 2019, 14762, 1010, 2003, 2908, 1010, 1998, 2008, 1521, 1055, 2183, 2000, 2202, 2070, 2893, 2109, 2000, 1012, 2009, 2371, 2066, 2242, 4568, 1010, 2242, 2008, 2052, 2196, 2175, 2185, 1012, 2021, 2028, 2518, 2008, 2035, 1997, 2149, 2342, 2000, 10825, 9731, 2055, 1999, 1037, 2208, 2066, 10166, 1529, 2673, 2003, 6671, 10253, 1012, 2689, 2003, 1996, 2069, 5377, 1012, 1998, 1996, 2477, 1997, 2023, 2088, 1006, 1997, 2162, 10419, 1007, 2024, 25085, 5262, 1012, 1996, 2019, 14762, 8118, 1012, 2254, 1020, 1010, 2294, 1516, 2254, 2340, 1010, 2249, 1012, 2074, 4339, 2006, 2049, 26671, 1523, 2196, 2038, 1037, 26954, 2177, 1997, 2814, 2018, 2061, 2172, 4569, 10209, 1037, 8777, 3815, 1997, 4632, 1012, 1524, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10651, 1019, 1013, 2321, 1013, 2262, 1024, 2006, 2593, 2089, 6122, 2030, 6400, 1010, 1996, 27399, 2820, 2333, 1996, 1523, 2256, 4908, 2015, 1524, 9491, 1998, 2019, 3378, 2811, 2713, 2013, 1996, 4037, 3378, 2007, 27399, 1521, 1055, 5066, 2248, 4785, 2689, 3034, 2000, 1996, 2811, 7085, 4664, 1997, 1996, 2364, 27399, 4037, 1012, 1996, 9491, 2001, 2036, 4096, 2013, 1523, 2256, 4908, 2015, 1524, 2000, 1523, 1520, 2079, 2017, 2145, 2903, 1999, 3795, 12959, 1029, 1521, 4908, 2015, 2718, 3190, 1012, 1524, 1999, 2804, 1010, 2119, 5491, 2031, 2042, 2067, 13701, 2094, 2000, 2089, 3822, 1998, 4343, 1010, 1996, 5246, 2043, 2027, 2020, 2405, 2012, 2037, 2434, 2188, 1012, 1996, 2434, 4957, 3464, 1999, 1996, 2434, 2695, 2917, 1010, 2021, 1996, 2047, 6971, 2031, 2042, 2794, 2182, 1024, 1523, 2256, 4908, 2015, 1524, 9491, 1998, 1996, 4908, 2202, 1011, 2091, 2811, 2713, 1012, 1012, 1999, 2804, 1010, 27399, 2343, 3312, 19021, 2102, 2038, 2042, 4453, 2004, 1996, 3166, 1997, 1996, 9491, 1012, 2112, 2093, 1997, 1037, 2186, 1012, 2043, 1996, 27399, 2820, 3390, 2037, 2566, 16070, 4908, 13599, 4785, 2613, 5130, 2000, 1996, 14477, 5092, 21784, 6945, 10556, 27966, 6038, 5488, 1010, 2027, 2405, 2019, 10860, 9491, 4159, 2256, 4908, 2015, 1012, 1524, 1996, 9491, 4247, 2037, 2146, 2381, 1997, 9841, 21821, 3723, 2011, 15192, 2092, 1011, 2124, 10697, 2004, 2065, 2027, 2020, 2995, 1012, 1999, 1996, 2832, 1010, 27399, 16691, 2008, 2027, 2024, 2108, 9841, 21821, 2102, 2055, 4785, 5867, 1010, 2055, 1996, 2110, 1997, 4785, 2671, 1998, 1996, 12997, 9468, 1010, 1998, 2130, 2055, 6945, 10556, 27966, 6038, 5488, 1521, 1055, 2219, 5328, 2055, 2529, 1011, 5533, 4785, 20461, 1012, 27399, 1521, 1055, 9841, 21821, 3723, 2055, 4785, 5867, 1523, 2256, 4908, 2015, 1524, 9841, 21821, 14626, 2035, 24746, 2015, 2008, 4785, 5867, 3936, 1037, 9714, 2000, 16081, 5981, 1010, 19838, 1996, 8152, 3319, 2832, 2000, 2562, 2041, 1997, 1996, 2877, 3834, 9263, 2151, 6529, 18386, 1997, 23546, 2158, 1011, 3303, 3795, 12959, 1010, 6318, 2951, 1010, 11865, 2094, 4726, 2470, 9556, 1010, 1998, 26489, 4726, 4071, 1997, 2592, 2552, 11186, 1012, 1997, 1996, 2274, 4447, 2081, 1010, 2069, 2028, 2003, 2995, 1012, 1997, 1996, 2060, 2176, 1010, 2028, 2003, 2205, 13727, 2000, 14358, 2009, 1521, 1055, 10640, 1010, 1998, 2093, 2024, 6270, 1012, 1996, 2028, 2035, 29107, 3508, 2008, 1523, 2256, 4908, 2015, 1524, 3084, 2003, 2055, 1996, 4071, 1997, 2592, 2552, 1006, 1042, 25463, 1007, 1012, 2009, 1521, 1055, 2995, 2008, 2195, 9751, 2179, 2008, 27301, 2470, 3131, 1006, 13675, 2226, 1007, 6529, 2018, 2699, 2000, 4468, 10882, 10441, 11186, 1012, 2004, 1037, 2765, 1010, 1996, 13675, 2226, 1521, 1055, 12366, 2012, 1996, 2051, 1010, 6316, 3557, 1010, 2001, 3718, 2011, 1996, 2118, 1997, 2264, 24217, 2013, 2010, 2597, 1012, 1996, 1523, 16081, 5981, 1524, 2035, 29107, 3508, 1010, 2174, 1010, 2003, 2061, 13727, 2008, 2009, 2071, 2812, 2471, 2505, 1012, 2302, 2062, 2592, 2084, 2003, 3024, 1999, 1523, 2256, 4908, 2015, 1010, 1524, 2009, 1521, 1055, 5263, 2000, 2113, 2054, 27399, 2965, 1012, 1996, 1523, 6318, 2951, 1524, 2035, 29107, 3508, 2071, 2812, 2028, 1997, 2093, 2477, 1010, 2021, 2029, 1997, 1996, 2093, 3475, 1521, 1056, 3154, 1012, 1996, 2034, 6061, 2003, 2008, 27399, 2003, 7727, 2000, 2129, 2981, 4785, 2689, 10373, 3319, 1006, 16461, 2121, 1007, 2179, 6316, 3557, 2106, 2562, 2070, 1997, 2010, 2951, 2013, 2010, 4401, 1012, 2023, 6061, 2003, 11178, 1037, 16745, 1997, 1996, 1042, 25463, 2035, 29107, 3508, 1010, 2174, 1010, 2025, 1037, 3584, 2035, 29107, 3508, 1012, 1996, 2117, 6061, 2003, 2008, 27399, 2003, 7727, 2000, 2745, 10856, 1521, 1055, 2951, 2029, 2001, 9382, 2025, 2800, 2000, 2010, 4401, 1012, 2023, 2035, 29107, 3508, 2001, 10847, 2012, 2560, 2093, 2335, 1006, 16461, 2121, 1010, 9502, 2110, 1521, 1055, 2219, 4812, 1010, 1998, 1037, 3582, 1011, 2039, 2120, 2671, 3192, 1006, 24978, 2546, 1007, 4812, 1007, 1998, 2169, 4812, 2179, 1996, 2168, 2518, 1516, 10856, 1521, 1055, 2951, 2001, 7271, 2800, 2043, 2009, 2001, 2108, 7303, 1012, 1996, 2197, 6061, 2003, 2008, 27399, 2003, 7727, 2000, 1996, 3302, 2501, 2951, 5224, 2011, 6316, 3557, 2004, 2112, 1997, 1996, 2018, 26775, 4904, 3302, 4860, 2951, 13462, 2015, 1012, 1996, 16461, 2121, 10847, 2023, 4366, 8077, 1998, 2179, 2008, 1037, 1007, 1996, 9625, 1997, 1996, 2951, 2001, 7271, 2800, 1010, 1038, 1007, 3087, 2071, 21376, 1996, 2018, 26775, 4904, 1521, 1055, 15306, 2478, 1996, 7271, 2800, 2951, 1010, 1998, 1039, 1007, 1996, 2235, 3815, 1997, 2797, 2951, 2001, 5123, 2013, 2713, 2011, 27948, 10540, 2090, 13675, 2226, 1998, 1996, 3120, 1006, 1055, 1007, 1997, 2008, 2951, 1012, 1996, 1523, 19838, 8152, 3319, 1524, 2035, 29107, 3508, 2001, 5837, 2011, 1996, 16461, 2121, 2044, 1037, 16030, 4812, 1997, 1996, 8866, 1997, 2093, 3563, 10444, 1012, 1999, 1996, 2034, 5043, 1996, 3350, 7645, 2008, 4981, 2018, 2042, 5837, 1523, 2006, 4045, 5286, 1010, 1524, 2107, 2004, 1996, 5186, 3532, 3737, 1997, 1996, 16478, 2030, 1037, 4945, 2000, 4769, 3188, 19628, 1012, 1996, 2117, 5043, 2001, 7219, 2011, 1996, 16461, 2121, 2138, 2053, 3350, 1999, 2490, 1997, 1996, 19238, 1997, 19838, 4726, 8152, 3319, 2001, 8127, 1516, 1996, 26960, 2099, 2001, 15175, 2030, 4039, 2000, 2490, 2014, 19238, 1012, 1998, 1996, 2353, 5043, 2001, 7219, 2138, 2047, 22028, 1006, 2008, 2020, 2025, 2112, 1997, 1996, 2434, 4785, 5867, 2501, 1007, 7645, 2008, 1996, 19238, 2001, 16542, 1012, 1996, 2353, 2553, 1999, 3327, 7645, 2008, 1996, 2405, 4785, 5867, 2501, 2106, 2025, 5383, 7182, 6123, 2000, 6011, 2087, 1997, 1996, 9989, 1010, 2004, 3087, 2040, 2038, 2412, 2109, 10373, 1999, 2019, 3834, 2030, 4087, 6123, 2323, 2031, 2042, 5204, 1012, 1996, 2345, 2035, 29107, 3508, 1010, 2008, 1997, 1523, 11865, 2094, 4726, 2470, 9556, 1010, 1524, 2038, 2042, 2179, 2011, 2296, 3319, 2000, 2022, 2302, 7857, 1012, 2012, 2560, 2093, 2350, 3934, 2144, 1996, 4785, 5867, 22028, 2020, 2207, 1998, 1037, 3677, 1997, 3760, 3934, 2031, 2035, 2179, 2008, 1996, 2018, 26775, 4904, 3463, 2024, 15873, 1010, 1998, 1996, 17289, 9502, 2110, 1998, 24978, 2546, 9751, 1997, 2745, 10856, 1521, 1055, 2470, 1998, 5523, 2031, 2179, 1996, 2168, 1012, 2045, 2038, 2042, 2053, 11865, 2094, 4726, 1997, 2951, 1010, 2053, 16924, 1997, 16478, 1010, 2053, 4045, 23337, 1997, 2151, 2785, 2011, 2151, 1997, 1996, 4785, 5867, 1011, 3378, 6529, 4453, 2000, 3058, 1012, 1998, 2009, 1521, 1055, 2025, 14874, 2000, 2903, 2008, 1996, 27399, 2820, 2071, 2145, 2022, 11499, 1997, 2122, 8866, 1010, 1999, 2070, 3572, 2048, 2086, 2044, 2027, 2020, 9174, 2522, 18933, 12821, 4383, 2011, 2028, 1997, 1996, 2116, 4785, 5867, 9751, 1012, 27399, 1521, 1055, 9841, 21821, 3723, 2055, 1996, 12997, 9468, 1998, 3522, 8973, 1999, 4785, 2671, 1523, 2256, 4908, 2015, 1524, 2036, 9841, 21821, 14626, 2035, 24746, 2015, 2008, 1996, 12997, 9468, 6439, 1523, 3019, 5320, 1997, 4785, 8386, 1012, 1524, 2023, 2003, 4089, 3491, 2000, 2022, 6270, 1012, 2034, 1010, 2045, 1521, 1055, 6904, 4160, 1016, 1012, 1015, 2013, 1996, 12997, 9468, 2959, 7667, 3189, 1521, 1055, 2551, 2177, 1015, 1006, 12098, 2549, 1059, 2290, 2487, 1007, 1010, 4159, 1523, 2129, 2079, 2529, 3450, 9002, 2000, 4785, 2689, 1998, 2129, 2079, 2027, 12826, 2007, 3019, 8092, 1029, 1524, 4415, 1010, 2065, 2045, 1521, 1055, 1037, 6904, 4160, 2055, 2529, 5443, 1012, 3019, 5320, 1997, 4785, 20461, 1010, 3019, 5320, 4033, 1521, 1056, 2042, 1523, 6439, 1012, 1524, 3275, 1016, 1012, 1015, 2917, 1010, 2013, 2008, 6904, 4160, 1010, 3065, 2054, 1996, 2190, 2800, 2671, 2056, 2055, 1996, 2367, 4216, 1997, 4785, 12959, 1999, 2384, 1006, 1996, 3189, 2001, 3843, 1999, 2289, 1010, 2021, 1996, 15117, 2005, 4045, 2951, 2000, 2022, 2443, 2001, 2384, 1012, 2069, 1037, 3232, 1997, 11790, 2020, 2081, 1012, 1007, 1012, 7297, 1010, 3127, 1016, 1012, 1021, 1999, 1996, 1059, 2290, 2487, 6254, 7679, 7580, 2006, 3019, 6932, 2015, 1010, 4919, 5943, 28436, 1998, 10942, 4023, 1012, 1996, 12997, 9468, 2988, 1999, 2289, 2008, 4445, 2001, 7182, 1999, 10194, 2000, 3426, 1996, 5159, 4785, 20461, 1012, 1999, 1996, 2274, 2086, 2144, 1010, 2045, 2038, 2042, 3243, 1037, 2978, 1997, 2470, 2046, 3019, 4216, 1997, 4785, 20461, 1010, 2007, 1037, 2261, 6815, 2008, 3019, 8386, 2003, 3625, 2005, 1996, 3431, 6529, 2024, 14158, 1999, 4785, 1012, 1996, 2087, 3522, 3259, 2437, 2023, 4366, 2003, 2028, 2011, 6060, 7084, 1998, 2520, 1040, 1012, 11655, 19228, 4159, 1523, 2006, 1996, 28616, 9032, 26745, 6190, 1997, 3302, 4860, 12247, 2015, 2013, 8358, 1999, 3011, 1521, 1055, 23751, 2943, 5703, 1012, 1524, 6854, 1010, 1996, 3259, 2001, 4453, 2004, 1523, 24670, 25077, 1524, 1998, 2061, 3561, 2007, 10697, 2008, 2009, 1523, 2323, 3568, 2025, 2031, 2042, 2405, 1012, 1524, 2004, 1055, 1004, 1054, 2988, 2012, 1996, 2051, 1010, 1996, 3559, 1011, 1999, 1011, 2708, 1997, 1996, 4640, 3485, 5295, 2138, 2058, 2009, 1012, 1999, 2804, 1010, 1037, 2200, 3522, 3259, 2011, 3946, 6469, 1998, 8852, 10958, 14227, 23809, 2546, 2109, 6747, 2000, 6366, 1996, 2093, 4602, 8092, 2006, 4860, 11702, 1010, 8419, 5943, 28436, 1010, 23694, 1010, 1998, 3449, 20801, 1013, 2474, 9401, 1012, 2065, 1996, 5159, 3795, 12959, 2020, 1037, 2765, 1997, 2216, 2093, 4216, 1010, 2059, 9268, 2037, 3747, 2013, 1996, 11702, 2052, 2031, 4504, 1999, 1037, 4257, 9874, 1012, 2004, 2017, 2064, 2156, 2013, 1996, 10629, 2917, 1006, 7013, 2011, 18386, 2671, 1007, 1010, 1996, 9874, 3464, 1012, 1996, 6469, 1004, 10958, 14227, 23809, 2546, 2249, 2951, 2036, 4487, 13102, 17597, 2015, 2178, 2035, 29107, 3508, 2179, 1999, 1523, 2256, 4908, 2015, 1010, 1524, 8419, 2008, 1523, 1996, 12959, 9874, 1997, 1996, 2117, 2431, 1997, 1996, 9086, 2301, 2301, 2525, 2038, 3030, 1012, 1524, 4415, 1010, 2008, 1521, 1055, 2025, 1996, 2553, 1012, 2005, 2019, 3029, 2008, 2003, 2061, 4208, 2006, 2529, 1011, 5533, 4785, 20461, 1010, 2009, 1521, 1055, 2025, 14874, 2000, 2903, 2008, 2027, 2024, 21591, 1997, 1996, 5025, 8417, 1997, 1996, 12997, 9468, 12098, 2549, 1012, 2009, 1521, 1055, 2036, 2025, 14874, 2000, 2903, 2008, 2027, 1521, 2128, 21591, 1997, 1996, 6469, 1004, 10958, 14227, 23809, 2546, 3259, 1010, 2926, 2144, 2070, 1997, 2037, 2219, 1523, 3795, 12959, 8519, 1524, 2031, 2517, 2055, 2009, 1010, 2164, 27399, 9698, 4938, 11042, 1012, 27399, 1521, 1055, 9841, 21821, 3723, 2055, 6945, 10556, 27966, 6038, 5705, 2072, 2021, 3383, 1996, 2087, 1041, 17603, 11411, 2271, 6270, 9021, 2003, 2008, 6945, 10556, 27966, 6038, 5488, 2001, 1037, 1523, 4785, 2689, 24591, 1012, 1524, 2004, 1055, 1004, 1054, 2988, 3130, 1010, 10556, 27966, 6038, 5488, 1521, 1055, 17124, 2758, 2498, 2055, 1996, 3395, 1012, 1055, 1004, 1054, 1031, 9022, 2005, 1996, 7655, 1523, 16635, 3466, 1524, 1033, 1998, 2179, 3599, 2048, 4973, 1516, 2028, 1997, 2029, 2003, 1037, 2236, 4861, 1010, 1996, 2060, 1997, 2029, 5176, 1006, 2302, 4346, 2019, 3437, 1007, 2054, 1996, 4254, 1997, 1996, 16635, 3466, 2097, 2022, 1031, 20423, 18582, 1033, 1012, 2045, 2024, 2053, 3594, 1997, 1523, 4785, 2689, 1010, 1524, 1523, 3795, 12959, 1010, 1524, 2030, 1523, 6351, 1524, 2593, 1012, 1999, 2755, 1010, 1996, 2773, 1523, 4785, 1524, 2003, 2109, 3599, 2320, 1010, 1999, 4431, 2000, 2383, 1996, 2157, 2785, 1997, 5929, 4072, 2005, 1037, 2445, 4785, 1031, 20423, 3486, 1033, 1012, 6945, 10556, 27966, 6038, 5488, 2001, 2025, 1037, 1523, 4785, 2689, 24591, 1010, 1524, 2004, 1996, 27399, 2820, 1998, 1996, 1523, 2256, 4908, 2015, 1524, 9491, 2052, 2031, 2017, 2903, 1012, 2009, 1521, 1055, 2042, 2048, 1998, 1037, 2431, 2086, 2144, 1996, 4785, 5867, 22028, 2020, 28719, 1998, 2207, 3784, 1012, 2009, 1521, 1055, 2042, 2274, 2086, 2144, 1996, 12997, 9468, 2207, 12098, 2549, 1999, 2289, 1012, 27399, 2038, 2042, 15192, 1037, 6270, 4366, 2055, 6945, 10556, 27966, 6038, 5488, 1521, 1055, 4011, 6772, 1999, 4785, 2689, 2144, 2012, 2560, 2294, 1012, 1998, 27399, 2038, 9877, 1997, 3795, 12959, 8519, 2000, 6149, 2037, 23269, 1997, 25854, 10697, 1012, 2009, 1521, 1055, 2025, 12689, 2008, 1996, 27399, 2820, 2071, 2022, 21591, 2438, 2000, 2191, 2061, 2116, 10697, 2005, 2061, 2146, 2302, 2108, 13371, 1012, 2008, 3727, 2069, 2048, 2825, 17959, 1012, 2593, 27399, 2003, 2025, 5973, 2379, 1996, 4785, 20461, 8519, 2027, 4366, 2000, 2022, 1010, 2030, 2027, 1521, 2128, 2108, 9841, 21821, 2102, 1012, 12997, 9468, 12098, 2549, 1059, 2290, 2487, 6904, 4160, 1016, 1012, 1015, 3275, 1016, 1012, 1015, 18386, 2671, 1010, 2478, 2951, 2013, 6469, 1004, 10958, 14227, 23809, 2546, 2249, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2116, 3316, 2024, 2025, 12786, 1996, 4187, 3791, 1998, 4022, 9135, 2015, 1997, 2037, 5126, 1517, 1998, 2411, 2079, 2025, 2031, 1037, 12689, 3861, 1997, 2129, 5126, 2156, 2068, 1010, 2429, 2000, 1037, 2233, 2249, 5002, 1997, 5126, 2012, 3316, 4969, 1012, 2096, 5971, 12706, 1998, 5848, 10489, 2089, 2022, 16312, 2000, 2903, 1996, 5848, 3006, 2038, 2513, 2000, 3671, 1998, 2027, 2064, 2175, 2067, 2000, 1523, 2449, 2004, 5156, 1524, 2085, 2008, 1996, 4610, 2003, 3652, 2153, 1010, 2256, 5002, 6083, 2008, 2023, 5656, 2071, 2681, 3316, 2006, 1996, 3974, 2217, 1997, 1529, 2116, 3316, 2024, 2025, 12786, 1996, 4187, 3791, 1998, 4022, 9135, 2015, 1997, 2037, 5126, 1517, 1998, 2411, 2079, 2025, 2031, 1037, 12689, 3861, 1997, 2129, 5126, 2156, 2068, 1010, 2429, 2000, 1037, 2233, 2249, 5002, 1997, 5126, 2012, 3316, 4969, 4146, 2005, 3972, 28100, 2618, 10552, 2222, 2361, 2011, 10822, 20062, 1012, 2096, 5971, 12706, 1998, 5848, 10489, 2089, 2022, 16312, 2000, 2903, 1996, 5848, 3006, 2038, 2513, 2000, 3671, 1998, 2027, 2064, 2175, 2067, 2000, 1523, 2449, 2004, 5156, 1524, 2085, 2008, 1996, 4610, 2003, 3652, 2153, 1010, 2256, 5002, 6083, 2008, 2023, 5656, 2071, 2681, 3316, 2006, 1996, 3974, 2217, 1997, 1996, 2971, 2005, 5848, 1012, 2004, 2112, 1997, 1996, 3972, 28100, 2618, 5848, 3341, 12609, 2186, 1010, 2023, 3189, 20798, 7904, 13818, 2000, 3073, 20062, 2046, 1996, 2749, 2008, 2024, 3517, 2000, 3298, 1996, 5848, 3006, 2058, 1996, 2279, 5476, 1012, 2062, 4919, 1010, 1996, 5002, 15113, 2015, 17856, 17905, 2015, 2090, 1996, 13818, 1998, 14714, 1997, 5126, 1998, 1996, 5848, 9942, 1998, 6078, 2108, 12550, 2011, 12433, 1012, 1996, 5002, 2036, 22963, 2783, 7904, 5328, 2007, 1996, 5328, 2218, 2011, 5126, 2076, 1996, 5995, 1997, 1996, 19396, 1998, 2000, 1996, 10740, 1997, 12706, 2057, 12876, 1999, 2255, 2230, 1012, 1996, 2233, 2249, 5002, 1997, 27509, 5126, 2012, 2312, 3795, 3316, 1006, 3296, 4341, 3618, 2084, 1002, 3156, 2454, 1007, 3936, 2195, 2590, 12878, 3972, 28100, 2618, 7164, 2097, 4338, 1996, 5848, 3006, 1999, 1996, 2746, 5476, 1024, 12433, 2089, 3891, 3974, 1996, 8072, 1998, 9273, 1006, 2025, 2000, 5254, 1996, 4641, 1998, 2398, 1007, 1997, 5126, 1012, 2007, 1037, 6428, 4610, 1010, 2062, 5126, 2007, 7279, 2102, 1011, 2039, 14714, 2000, 2681, 2037, 2783, 12433, 2024, 2085, 8851, 5604, 1996, 3105, 3006, 1012, 4803, 20991, 11174, 1010, 2029, 2328, 2039, 3254, 2021, 11328, 2076, 1996, 19396, 1010, 2089, 2718, 3316, 2012, 1996, 6635, 2051, 2043, 2116, 12706, 16014, 5848, 22623, 2408, 2449, 3197, 2008, 3316, 11160, 2006, 2000, 3298, 3930, 1998, 8144, 1012, 1011, 2069, 3486, 1003, 1997, 1996, 5126, 12876, 5987, 2000, 3961, 2007, 2037, 2783, 12433, 1517, 1037, 2184, 1011, 7017, 1011, 2391, 9885, 4102, 2000, 1996, 2244, 2268, 5002, 1012, 3053, 2048, 2041, 1997, 2093, 5126, 1006, 3515, 1003, 1007, 12876, 2024, 13135, 2135, 2030, 8851, 5604, 1996, 3105, 3006, 1012, 2054, 2079, 1996, 3515, 1003, 1997, 5126, 2559, 2005, 1996, 6164, 3696, 2156, 2008, 2037, 12433, 2123, 1521, 1056, 1029, 1996, 3053, 2048, 2041, 1997, 2093, 5126, 12876, 2040, 2024, 11131, 2037, 2476, 7047, 2031, 2844, 1010, 4997, 5328, 2055, 2054, 1996, 3105, 12433, 2024, 2725, 2000, 3443, 10368, 2476, 10425, 1998, 2000, 2330, 2039, 12607, 6695, 1012, 1011, 2426, 1996, 5126, 12876, 2040, 2024, 8851, 2030, 13135, 2135, 6224, 2041, 2047, 12433, 1010, 5187, 1003, 3189, 1996, 9824, 1997, 3105, 12607, 2030, 4712, 2052, 13984, 2068, 2000, 2994, 2007, 2037, 2783, 3316, 1012, 1037, 3484, 2030, 2379, 3484, 1997, 5126, 1523, 2006, 1996, 3006, 1524, 3446, 2037, 3316, 1521, 4073, 2012, 4526, 2476, 10425, 1010, 4975, 4177, 1010, 1998, 12823, 2327, 9567, 2004, 1523, 4189, 1524, 2030, 1523, 3532, 1012, 1524, 3316, 2008, 15581, 2037, 5848, 1998, 20125, 9942, 2000, 3113, 4245, 2389, 14714, 2097, 2022, 14610, 1010, 2096, 2216, 2008, 2079, 2025, 2071, 2424, 3209, 2012, 1996, 3974, 2203, 1997, 1996, 2971, 2005, 5848, 1012, 14126, 5848, 9942, 2011, 4245, 1998, 5907, 7126, 2562, 2780, 10109, 1012, 2119, 20991, 27099, 1998, 20125, 21134, 3711, 2000, 8137, 6022, 2408, 7904, 8213, 1010, 2007, 5966, 8361, 2011, 5907, 1012, 3316, 2008, 15581, 2037, 5848, 1998, 20125, 9942, 2000, 3113, 1996, 4310, 10908, 1998, 14354, 2015, 1997, 2367, 7904, 7080, 2097, 3497, 2022, 14610, 1010, 2096, 2216, 2008, 2079, 2025, 2071, 2424, 3209, 2012, 1996, 3974, 2203, 1997, 1996, 2971, 2005, 5848, 1012, 1011, 2043, 2009, 3310, 2000, 5464, 1996, 2327, 20991, 27099, 1010, 12876, 3336, 8797, 2545, 6758, 1523, 3768, 1997, 3404, 1999, 4105, 1524, 2012, 1996, 2327, 1997, 2037, 2862, 2012, 3590, 1003, 1010, 2096, 2119, 4245, 1060, 1998, 27620, 2140, 5126, 2872, 1523, 3768, 1997, 2476, 5082, 1524, 2034, 2012, 4229, 1003, 1998, 2382, 1003, 1010, 4414, 1012, 1011, 1996, 9556, 2036, 3936, 2008, 12876, 2273, 3446, 1523, 3768, 1997, 9430, 7457, 1524, 2012, 1996, 2327, 1997, 2037, 2327, 20991, 9495, 2862, 2012, 2676, 1003, 1006, 4102, 2000, 2403, 1003, 1997, 2308, 1007, 1010, 2096, 2308, 2872, 1523, 11664, 2147, 11066, 1524, 2034, 2012, 2861, 1003, 1006, 4102, 2000, 2321, 1003, 1997, 2273, 1007, 1012, 3316, 2008, 6336, 2037, 2208, 2000, 8116, 1523, 2088, 1011, 2465, 1524, 5848, 3454, 2097, 3497, 2022, 14610, 1012, 2200, 2261, 5126, 9375, 2037, 12433, 1521, 3452, 5848, 4073, 2004, 1523, 2088, 1011, 2465, 1524, 2030, 2130, 1523, 2200, 2204, 1524, 1517, 1998, 1996, 2168, 3768, 1997, 7023, 4324, 2995, 2043, 2009, 3310, 2000, 3145, 5848, 20125, 9942, 1012, 2174, 1010, 2241, 2006, 5002, 9556, 1010, 12433, 2008, 6336, 2037, 5848, 4073, 2097, 3497, 2022, 14610, 2007, 5126, 2040, 2024, 2062, 8510, 2007, 2037, 5841, 1998, 2476, 16746, 1006, 1998, 2040, 2024, 2521, 2062, 3497, 2000, 3961, 2007, 2037, 2783, 12433, 1007, 1012, 1011, 2069, 1020, 1003, 1997, 1996, 5126, 12876, 3446, 2037, 3316, 1521, 3452, 17850, 1998, 5848, 4073, 2004, 1523, 2088, 1011, 2465, 1010, 1524, 2096, 2062, 2084, 2176, 1999, 2702, 1006, 4724, 1003, 1007, 2170, 2068, 1523, 4189, 1524, 2030, 1523, 3532, 1012, 1524, 2025, 10889, 1010, 5126, 2040, 6235, 2037, 3316, 1521, 5848, 3454, 2004, 1523, 2088, 1011, 2465, 1524, 2030, 1523, 2200, 2204, 1524, 2024, 3053, 3807, 1006, 4413, 1003, 2000, 2603, 1003, 1007, 2004, 5462, 2000, 3588, 2012, 2037, 5841, 2084, 5126, 2040, 2147, 2012, 3316, 2007, 1523, 4189, 1524, 2030, 1523, 3532, 1524, 5848, 4073, 1012, 12433, 2089, 3891, 3974, 1996, 8072, 1998, 9273, 1997, 5126, 5674, 2065, 1037, 2194, 2071, 4175, 2006, 4363, 2069, 1037, 2353, 1997, 2049, 6304, 2279, 2095, 1012, 1996, 5456, 2052, 2275, 2125, 8598, 10118, 2503, 2296, 1039, 1011, 7621, 2436, 1998, 9495, 5057, 6295, 1010, 5656, 2128, 13331, 7630, 10708, 1010, 1998, 7670, 2005, 7620, 1012, 7681, 1996, 2773, 1523, 5126, 1524, 2005, 1523, 6304, 1524, 1998, 2008, 2089, 2022, 1996, 2597, 2008, 2116, 3316, 2227, 2651, 1012, 2065, 8598, 10118, 2024, 2025, 2183, 2125, 1010, 2672, 2027, 2323, 1012, 2426, 5126, 12876, 1999, 2233, 2249, 1010, 2069, 3486, 1003, 5987, 2000, 3961, 2007, 2037, 2783, 12433, 3275, 1015, 1012, 2024, 2017, 6595, 2030, 2183, 1029, 2426, 5126, 12876, 1999, 2233, 2249, 1010, 2069, 3486, 1003, 5987, 2000, 3961, 2007, 2037, 2783, 12433, 1010, 4102, 2000, 3429, 1003, 2040, 2020, 5462, 2000, 2037, 12433, 2076, 1996, 19396, 1999, 2268, 1006, 2156, 3275, 1015, 1007, 1012, 1999, 2804, 1010, 2011, 1037, 7785, 1997, 2062, 2084, 1016, 1024, 1015, 1006, 3429, 1003, 2000, 2322, 1003, 1007, 1010, 5126, 2024, 2062, 3497, 2000, 16014, 2019, 3623, 2738, 2084, 1037, 9885, 1999, 7904, 20991, 2076, 1996, 2279, 2095, 1012, 10443, 6748, 1024, 5002, 9556, 6592, 2008, 3316, 2089, 2022, 2012, 1037, 3618, 3891, 2007, 7634, 2000, 12823, 2931, 5126, 1012, 2308, 2596, 2062, 3497, 2084, 2273, 2000, 2022, 8851, 2559, 2005, 2047, 6107, 1999, 1996, 2279, 2260, 2706, 1006, 4583, 1003, 1997, 2308, 5443, 1012, 4601, 1003, 1997, 2273, 1007, 1012, 2273, 1010, 2006, 1996, 2060, 2192, 1010, 2020, 2062, 3497, 2000, 2022, 13135, 2135, 2559, 1006, 2484, 1003, 1997, 2273, 5443, 1012, 2260, 1003, 1997, 2308, 1007, 1012, 2043, 2009, 3310, 2000, 12823, 5848, 1010, 2116, 12433, 3891, 3974, 1996, 2645, 2005, 1996, 8072, 1998, 9273, 1006, 2025, 2000, 5254, 1996, 4641, 1998, 2398, 1007, 1997, 2037, 5126, 1012, 3053, 2431, 1006, 4749, 1003, 1007, 1997, 1996, 5126, 12876, 2031, 2042, 6224, 1010, 2933, 2000, 6148, 1010, 2030, 2024, 2747, 6224, 2047, 6107, 1012, 2178, 2538, 1003, 2024, 11131, 2047, 7047, 2011, 14739, 2037, 13746, 2015, 3784, 2030, 4363, 2019, 2330, 2568, 2055, 4455, 2013, 5971, 13024, 2545, 1006, 2156, 3275, 1016, 1007, 1012, 5126, 1521, 4852, 15035, 2791, 19680, 2015, 2007, 11194, 5936, 2055, 3974, 4187, 5848, 1012, 12433, 2024, 2157, 2000, 2022, 5191, 1012, 3834, 2470, 7127, 2008, 4008, 1003, 1997, 5126, 2024, 3497, 2000, 2552, 2006, 2037, 20991, 11174, 1012, 1015, 2007, 3515, 1003, 1997, 5126, 2559, 2000, 2681, 2037, 2783, 4460, 1010, 1037, 2561, 1997, 2756, 1003, 2453, 2941, 3328, 2041, 1996, 2341, 1006, 1014, 1012, 3515, 1060, 1014, 1012, 4008, 1027, 1014, 1012, 2756, 1007, 1012, 9308, 1010, 1999, 3972, 28100, 2618, 1521, 1055, 2255, 2230, 5002, 1997, 12706, 1010, 5179, 1003, 10173, 1037, 11228, 12972, 1997, 4105, 5848, 1010, 2096, 3053, 2093, 1999, 2176, 1006, 5824, 1003, 1007, 3517, 5848, 22623, 1999, 1054, 1004, 1040, 1012, 3275, 1016, 1012, 2024, 2017, 4041, 2000, 2298, 2005, 1037, 2047, 11194, 1029, 1008, 2417, 5210, 2005, 12433, 1024, 2003, 1996, 5703, 1997, 2373, 1999, 1996, 3105, 3006, 9564, 2013, 12433, 2000, 5126, 1029, 2429, 2000, 2256, 5002, 1010, 2062, 2084, 2028, 1999, 2274, 5126, 1006, 2538, 1003, 1007, 2038, 6866, 2037, 13746, 2015, 3784, 2030, 2024, 16911, 2591, 2865, 5906, 2000, 2562, 2037, 2476, 7047, 2330, 1012, 2096, 12433, 2985, 1996, 19396, 15876, 8950, 6850, 2091, 1998, 4208, 2006, 6276, 5366, 1010, 1996, 3105, 3006, 2038, 2042, 3254, 20607, 1010, 2437, 2009, 6082, 2005, 5126, 2000, 6723, 2491, 1997, 1996, 3006, 2013, 12433, 1012, 1999, 2804, 1010, 2591, 2865, 4573, 2066, 9130, 1010, 10474, 1010, 1998, 5799, 2378, 2330, 2039, 1037, 2047, 1010, 3811, 4621, 4118, 2005, 3105, 1011, 24071, 1998, 12433, 2000, 7532, 1012, 2429, 2000, 11073, 3813, 12932, 1010, 3897, 1004, 4234, 1010, 2591, 14048, 4573, 2085, 3073, 1996, 2117, 1011, 2087, 4621, 2126, 2005, 3105, 1011, 9624, 2000, 2424, 2047, 2147, 1010, 4634, 2069, 2369, 3151, 14048, 1012, 1016, 6187, 17231, 3683, 1010, 1037, 2591, 2865, 14357, 7300, 2194, 1010, 4447, 2008, 2591, 2865, 4573, 2024, 4439, 7904, 23011, 2138, 1997, 2037, 7496, 1010, 8122, 1010, 1998, 20728, 3362, 1012, 6187, 17231, 3683, 3728, 2988, 2008, 5799, 2378, 2038, 5594, 2454, 2372, 1025, 10474, 2038, 12862, 2454, 5068, 5198, 1025, 1998, 9130, 2038, 2058, 3156, 2454, 3161, 5198, 1010, 2058, 2431, 1997, 3183, 4638, 2037, 9130, 6115, 2169, 2154, 1012, 2013, 2019, 11194, 1521, 1055, 7339, 1010, 2591, 2865, 3640, 10036, 3229, 2000, 1037, 9428, 5787, 3238, 5848, 4770, 1012, 1998, 2005, 5126, 1010, 11131, 2047, 2476, 7047, 1998, 2559, 2005, 1037, 2047, 3105, 2038, 2196, 2042, 6082, 1010, 2062, 4569, 1010, 2030, 2062, 7861, 23948, 1012, 1017, 3053, 2048, 1011, 12263, 1006, 3515, 1003, 1007, 1997, 1996, 5126, 12876, 2024, 2559, 2005, 1996, 6164, 3696, 1010, 2030, 2027, 2024, 2012, 2560, 2330, 2000, 1037, 2476, 2693, 1012, 2054, 2079, 2216, 3515, 1003, 2156, 2008, 12433, 2123, 1521, 1056, 1029, 1011, 9662, 2476, 10425, 1024, 2241, 2006, 2256, 5002, 1010, 2092, 2058, 2431, 1997, 1996, 5126, 4041, 2000, 2681, 2037, 2783, 12433, 1006, 5401, 1003, 1007, 2903, 2037, 3316, 2079, 1037, 1523, 4189, 1524, 2030, 2130, 1523, 3532, 1524, 3105, 1997, 4526, 2476, 10425, 1998, 10368, 3105, 6695, 1010, 4102, 2000, 2069, 2603, 1003, 2040, 3446, 2023, 3145, 5848, 12046, 2004, 1523, 6581, 1524, 2030, 1523, 2200, 2204, 1524, 1517, 1037, 3789, 1997, 2053, 7023, 3618, 2084, 1016, 1024, 1015, 1012, 1011, 2210, 4105, 2458, 1024, 2256, 5002, 7127, 2008, 2753, 1003, 1997, 1996, 5126, 2040, 2079, 2025, 5987, 2000, 2994, 2012, 2037, 2783, 12433, 3446, 2037, 3316, 1521, 4105, 2458, 3454, 2004, 1523, 4189, 1013, 3532, 1010, 1524, 2114, 2538, 1003, 2040, 3446, 2068, 2004, 1523, 6581, 1013, 2200, 2204, 1012, 1524, 1011, 3768, 1997, 3404, 1999, 4105, 1024, 1997, 5002, 25094, 1010, 2069, 2603, 1003, 1997, 5126, 4041, 2000, 18280, 2903, 2037, 3316, 6464, 18708, 3404, 1999, 4105, 1010, 4102, 2000, 1996, 5401, 1003, 2040, 4635, 2122, 4073, 2004, 1523, 4189, 1013, 3532, 1012, 1524, 12876, 2931, 5126, 2596, 2625, 7622, 2084, 2273, 2011, 2037, 3316, 1521, 3754, 2000, 18708, 3404, 1998, 7023, 1010, 2007, 3486, 1003, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4931, 2045, 1012, 2061, 1037, 3232, 1997, 2420, 3283, 1045, 2356, 2005, 2115, 2190, 8738, 1010, 14266, 1010, 3635, 3279, 1010, 3635, 5114, 1010, 3635, 2731, 1010, 6740, 2311, 1010, 4031, 1010, 12448, 1998, 2833, 3980, 2005, 1996, 3800, 1997, 1037, 2210, 1053, 1004, 1037, 1012, 2092, 1010, 2306, 2055, 2484, 2847, 1010, 6390, 3980, 2020, 2356, 1012, 2012, 2105, 2423, 1045, 3342, 3241, 1523, 4931, 1010, 2672, 2023, 2003, 1037, 2204, 2051, 2000, 2485, 1996, 7928, 1029, 1524, 2021, 2059, 1045, 6618, 1010, 20976, 1010, 2292, 1521, 1055, 2507, 2009, 1037, 2210, 2936, 1012, 2059, 1997, 2607, 1045, 7039, 2067, 1037, 2261, 2847, 2101, 1998, 2387, 1996, 2423, 2018, 2468, 6390, 1010, 2012, 2029, 2391, 1045, 2701, 1996, 7928, 2006, 1037, 2695, 5514, 2084, 2151, 2529, 2038, 2412, 2701, 1996, 7928, 2006, 1037, 9927, 2695, 1999, 1996, 2381, 1997, 14938, 1012, 1999, 2035, 27994, 1010, 2009, 2001, 3492, 4569, 1006, 1999, 1037, 19453, 8775, 4066, 1997, 2126, 1007, 1010, 1998, 1045, 2228, 2057, 1521, 2222, 5791, 2079, 2009, 2153, 1010, 1998, 2059, 2153, 2044, 2008, 1012, 2004, 2005, 1996, 3980, 3209, 1010, 1045, 2699, 2000, 3437, 2004, 2116, 2004, 1045, 2071, 1998, 3092, 2039, 5791, 10739, 1996, 3484, 1997, 2068, 1012, 5585, 1003, 1997, 3924, 2025, 4660, 2020, 16791, 2138, 2027, 2020, 2593, 1024, 1011, 2055, 6441, 1012, 1011, 2055, 6875, 2308, 1013, 4268, 1012, 1011, 2055, 2242, 2008, 1045, 2196, 2130, 2657, 1997, 1012, 1011, 2055, 2242, 2008, 3223, 2205, 2146, 1997, 2019, 3437, 1012, 1999, 2087, 3572, 2008, 2197, 2028, 2001, 1996, 3426, 1012, 2021, 1010, 3571, 2025, 1012, 1045, 1521, 1049, 2183, 2000, 2735, 1037, 9129, 1997, 2216, 6998, 2046, 2440, 2006, 4790, 1012, 2005, 2742, 1010, 1037, 10228, 1997, 2111, 2356, 2055, 2129, 2000, 4558, 6638, 1998, 3857, 6740, 2012, 1996, 2168, 2051, 1012, 2008, 2097, 2763, 2022, 1996, 2034, 2440, 3720, 2000, 2272, 2041, 1997, 2256, 2210, 1053, 1004, 1037, 2208, 1012, 4312, 1010, 2438, 14652, 1012, 2182, 2024, 1037, 10231, 7170, 1997, 6998, 2000, 2115, 10231, 7170, 1997, 3980, 1529, 5965, 11285, 1039, 1024, 2043, 2003, 2009, 1037, 2204, 2051, 2000, 6942, 1037, 27090, 9410, 1029, 2003, 2045, 1037, 2558, 1997, 2051, 2073, 1037, 27090, 2003, 4621, 1010, 1998, 2059, 2323, 2022, 7237, 2039, 1029, 2115, 4301, 1029, 2033, 1024, 1045, 2941, 2074, 2626, 2242, 2197, 3204, 2008, 6998, 2023, 2200, 3160, 1012, 4638, 2009, 2041, 1024, 2129, 2411, 2323, 2017, 2689, 2115, 27090, 10905, 1024, 3652, 2039, 1010, 1045, 2001, 2467, 2200, 5188, 1998, 4738, 3679, 2004, 1045, 2001, 1037, 2266, 1997, 2120, 16894, 2136, 1012, 2008, 2108, 2056, 1010, 2651, 2012, 1996, 2287, 1997, 2756, 1010, 1045, 2424, 2008, 2053, 3043, 2054, 2828, 1997, 6912, 1045, 2079, 1006, 4003, 3695, 1010, 3635, 2731, 1010, 13782, 1007, 2008, 2026, 3456, 2467, 9625, 2039, 1012, 2348, 2023, 2089, 2614, 2307, 1006, 2311, 6740, 1007, 2004, 1037, 2931, 1010, 1045, 9544, 2000, 2031, 13472, 1010, 2021, 27604, 1010, 4857, 3456, 1529, 2151, 4784, 2054, 1045, 2064, 2079, 11543, 2000, 4468, 9625, 2075, 1029, 2033, 1024, 2092, 1010, 1523, 13472, 2021, 27604, 1524, 3456, 5478, 1037, 1007, 2383, 13472, 3456, 1010, 1998, 1038, 1007, 2383, 1037, 2659, 2438, 2303, 6638, 7017, 2061, 2008, 1996, 6740, 2006, 2115, 3456, 2003, 2062, 5710, 1010, 2029, 2003, 2054, 9005, 1523, 4309, 1012, 1524, 2144, 2017, 4025, 2000, 2022, 5341, 2438, 2000, 2031, 1037, 2035, 2275, 1010, 2241, 2006, 1996, 18558, 2445, 1010, 1045, 2064, 2069, 3984, 1038, 2089, 2022, 1996, 5576, 1012, 2087, 2308, 3573, 2087, 1997, 2037, 6638, 2006, 2037, 2896, 2303, 1006, 1998, 4558, 2009, 2013, 2045, 2197, 1007, 1010, 2074, 2066, 2087, 2273, 3573, 2087, 1997, 2037, 6638, 2006, 2037, 4308, 1006, 1998, 4558, 2009, 2045, 2197, 2004, 2092, 1007, 1012, 2061, 1010, 2065, 2017, 2123, 1521, 1056, 2215, 2000, 5587, 2151, 2062, 6740, 2000, 2017, 3456, 1010, 2035, 2017, 2428, 2342, 2000, 2079, 2003, 2644, 27673, 1012, 2004, 1999, 1010, 3649, 2785, 1997, 15871, 2017, 2024, 8783, 2006, 2896, 2303, 11110, 1010, 2123, 1521, 1056, 3046, 2000, 3623, 2068, 2151, 2582, 1006, 2074, 5441, 2068, 2004, 2003, 2612, 1007, 1012, 2044, 2008, 1010, 1996, 2069, 2126, 2000, 3443, 2062, 1523, 4309, 1524, 2003, 2011, 3974, 2062, 6638, 1010, 2029, 2003, 2062, 1037, 3043, 1997, 8738, 2084, 4127, 1997, 6912, 1006, 2348, 6912, 2064, 5525, 2377, 1037, 2535, 1007, 1012, 5032, 1024, 1045, 1521, 2310, 3191, 1523, 1996, 25654, 1998, 3688, 1045, 2224, 1998, 16755, 1524, 1998, 3641, 1996, 3869, 18269, 2015, 1010, 1059, 14844, 5250, 1998, 20647, 13181, 3366, 1012, 2026, 3160, 2003, 2129, 2172, 20647, 13181, 3366, 2079, 2017, 5587, 2000, 1996, 1059, 14844, 5250, 4392, 1029, 2036, 1010, 1996, 5250, 8974, 2758, 2000, 5587, 1017, 11472, 2300, 2000, 2028, 23348, 1012, 2515, 2009, 3043, 2065, 2017, 5587, 2062, 2300, 1029, 4283, 2005, 2115, 2051, 1012, 2033, 1024, 1996, 3815, 1997, 20647, 13181, 3366, 1006, 2030, 2428, 2074, 2482, 5910, 1999, 2236, 1007, 2734, 2005, 2115, 2695, 27090, 6073, 9041, 2006, 1037, 9129, 1997, 5876, 1006, 3091, 1997, 27090, 1010, 2828, 1997, 27090, 1010, 2115, 2303, 3635, 1010, 4385, 1012, 1007, 1010, 1998, 1045, 1521, 2310, 2464, 2035, 11901, 1997, 2367, 11433, 1012, 2070, 4025, 2205, 2152, 1010, 2070, 4025, 2205, 2659, 1010, 1998, 1045, 1521, 2310, 2196, 2428, 2272, 2408, 2505, 2008, 3849, 2074, 2157, 1012, 1045, 2052, 2360, 1010, 2006, 2779, 1010, 4873, 2090, 1014, 1012, 1017, 1998, 1014, 1012, 1019, 20372, 1997, 2482, 5910, 2566, 9044, 1997, 2303, 3635, 1012, 2061, 1010, 2005, 1037, 3263, 20850, 2711, 1010, 2023, 2052, 2022, 2090, 3438, 1998, 2531, 20372, 1997, 2482, 5910, 1999, 1996, 7954, 2157, 2044, 2037, 27090, 1012, 2009, 1521, 1055, 1037, 2200, 5041, 2846, 1010, 1045, 2113, 1012, 1996, 2779, 2711, 2725, 2019, 2779, 27090, 2763, 2987, 1521, 1056, 2342, 2000, 2022, 1999, 1996, 2327, 2203, 1997, 2037, 2846, 1998, 2052, 2022, 2074, 2986, 4873, 1999, 1996, 2690, 1012, 2004, 2005, 2129, 2172, 2300, 2000, 5587, 1529, 5587, 2004, 2172, 2300, 2004, 2017, 2215, 1012, 2045, 2003, 2053, 4555, 1012, 2065, 2009, 16958, 2066, 2009, 3791, 2062, 2300, 1010, 5587, 2062, 1012, 2065, 2009, 16958, 2066, 2009, 3791, 2625, 1010, 5587, 2625, 1012, 2065, 2017, 2074, 2215, 2062, 2300, 1529, 2175, 12264, 1012, 2009, 1521, 1055, 6669, 2986, 1012, 3533, 1024, 2054, 1521, 1055, 1996, 2190, 2126, 1010, 1999, 3408, 1997, 8738, 1013, 6912, 1010, 2005, 1037, 4720, 2095, 2214, 2158, 2000, 3857, 3809, 6740, 2302, 14743, 5282, 2006, 1996, 5808, 4179, 1029, 1045, 1521, 1049, 1999, 2204, 2740, 1010, 4659, 4906, 1998, 2031, 2042, 8783, 2005, 1037, 2261, 2086, 1012, 2033, 1024, 6289, 2748, 1010, 1996, 1523, 2129, 2079, 1045, 5114, 6740, 2302, 8550, 6638, 1524, 3160, 1012, 1996, 3437, 2003, 1010, 2017, 3492, 2172, 2064, 1521, 1056, 1012, 2009, 19237, 1010, 1045, 5993, 1012, 2021, 1010, 2005, 3087, 2040, 3475, 1521, 1056, 1037, 3143, 4088, 3678, 2030, 2478, 2070, 2433, 1997, 4319, 5375, 1010, 2311, 6740, 5942, 1037, 10250, 29180, 15726, 1012, 2122, 9987, 10250, 18909, 2064, 2059, 2593, 2175, 2875, 1996, 2311, 1997, 2047, 6740, 2030, 1996, 23977, 1997, 2047, 6638, 1012, 2115, 8738, 1010, 2731, 1998, 14471, 2097, 5630, 2073, 2027, 2175, 1012, 2004, 2146, 2004, 2115, 8738, 1013, 2731, 2003, 2012, 2560, 2785, 1997, 2204, 1010, 2070, 1997, 1996, 10250, 18909, 2097, 2175, 2875, 4526, 2047, 6740, 8153, 1012, 2065, 2017, 2031, 2428, 2204, 14471, 1006, 2087, 1997, 2149, 2123, 1521, 1056, 1007, 1010, 2087, 1997, 1996, 10250, 18909, 2097, 2175, 2023, 2799, 1012, 2174, 1010, 2130, 2065, 2115, 14471, 1010, 8738, 1010, 1998, 2731, 2024, 2035, 6669, 2986, 1010, 2070, 10250, 18909, 2097, 2145, 2175, 2875, 6638, 1012, 1996, 4788, 2122, 1017, 5876, 2024, 1010, 1996, 4788, 2115, 6740, 2000, 6638, 5114, 6463, 2097, 2022, 1012, 1996, 2190, 2518, 2057, 2064, 2079, 2003, 2131, 5399, 8155, 1010, 1998, 2059, 2175, 2046, 1037, 6740, 2311, 4403, 1012, 2059, 1010, 2077, 2057, 5114, 2205, 2172, 6638, 1010, 6942, 2000, 1037, 6638, 3279, 4403, 2000, 4558, 1996, 4469, 6638, 2057, 4227, 1006, 1998, 2562, 1996, 2047, 6740, 2057, 2328, 1007, 1010, 1998, 2059, 2175, 2067, 2000, 1037, 6740, 5114, 4403, 1010, 2059, 2067, 2000, 6638, 3279, 1010, 1998, 2061, 2006, 1998, 2061, 2006, 1012, 1045, 4863, 2035, 1997, 2023, 2126, 2488, 1006, 1998, 2507, 2035, 1997, 1996, 3563, 2015, 1997, 8738, 1998, 2731, 1007, 1999, 1996, 7209, 5009, 2000, 2311, 6740, 1012, 4717, 1024, 2054, 2833, 3774, 2306, 2115, 3679, 8738, 1012, 1045, 4687, 2065, 2017, 2071, 12685, 1037, 5171, 2154, 1997, 2833, 2005, 2017, 1041, 1012, 1043, 1012, 7954, 1015, 1010, 1051, 11149, 1010, 7954, 1016, 4385, 1012, 1012, 2033, 1024, 1045, 1521, 1049, 2126, 3805, 1997, 2017, 1010, 4717, 1012, 4638, 2041, 2026, 8738, 1012, 8805, 1024, 1045, 2052, 2066, 2000, 2113, 2054, 2115, 5448, 2003, 4953, 2489, 15871, 5443, 6812, 21031, 2595, 6681, 1998, 2129, 2027, 11234, 2004, 2521, 2004, 6740, 2311, 2003, 4986, 1012, 2033, 1024, 1045, 1521, 2310, 2196, 2941, 2109, 1037, 6812, 21031, 2595, 2077, 1010, 2061, 1045, 2097, 2360, 2039, 2392, 1045, 2031, 2053, 3167, 3325, 2007, 2028, 1012, 2174, 1010, 2043, 2009, 3310, 2000, 1996, 2236, 2489, 15871, 5443, 6681, 1997, 2151, 2785, 6685, 1010, 2489, 15871, 2467, 2663, 2004, 2521, 2004, 2108, 1996, 2488, 1997, 1996, 2048, 2005, 2311, 6740, 1012, 2174, 1010, 6681, 2087, 5791, 2064, 2031, 2037, 2173, 1998, 2022, 1997, 2224, 1012, 2004, 1045, 1521, 2310, 5720, 2055, 2077, 1010, 1996, 5221, 9095, 2005, 2311, 6740, 2003, 6555, 2058, 11066, 1006, 4852, 1996, 7670, 2108, 2872, 2006, 2115, 2303, 1007, 1998, 2023, 2064, 2022, 2589, 2006, 1037, 3698, 1996, 2168, 2126, 2009, 2064, 2007, 2489, 15871, 1012, 2007, 2008, 2108, 2056, 2295, 1529, 2489, 15871, 2052, 2145, 2022, 1996, 2488, 3601, 1997, 1996, 2048, 1999, 2087, 3572, 1012, 6287, 1024, 2003, 2045, 2151, 3606, 1999, 1024, 6350, 2066, 1037, 2332, 1010, 6265, 2066, 1037, 3159, 1010, 4596, 2066, 1037, 29025, 4842, 1012, 2033, 1024, 1045, 7868, 2017, 1521, 2128, 4851, 2023, 1999, 3408, 1997, 3635, 2491, 1029, 2065, 2061, 1010, 2059, 16780, 1010, 2053, 3606, 2000, 2023, 2012, 2035, 1012, 1996, 2069, 2518, 2008, 5609, 2004, 2521, 2004, 2893, 2115, 3635, 2000, 2079, 2054, 2017, 2215, 2009, 2000, 2079, 2003, 10250, 18909, 1012, 4521, 2062, 2084, 2115, 2303, 3791, 1998, 2017, 5114, 3635, 1012, 4521, 2625, 2084, 2009, 3791, 1998, 2017, 4558, 3635, 1012, 4521, 1996, 2168, 3815, 2009, 3791, 1998, 2115, 3635, 12237, 1996, 2168, 1012, 3251, 2017, 4521, 1060, 3815, 2076, 6350, 1010, 6265, 2030, 4596, 2180, 1521, 1056, 2377, 2151, 2535, 18971, 2004, 2146, 2004, 1996, 21948, 2012, 1996, 2203, 1997, 1996, 2154, 2024, 1996, 2168, 1012, 10829, 1024, 1045, 2001, 6603, 2054, 2017, 2245, 2055, 2635, 1043, 7630, 15464, 3170, 2044, 1037, 27090, 2030, 1999, 1996, 1037, 1012, 1049, 1012, 1004, 1052, 1012, 1049, 1012, 2005, 2008, 3043, 1012, 2079, 2017, 2424, 2023, 2003, 14044, 2005, 2115, 2303, 1029, 2036, 1010, 2129, 2116, 20372, 1997, 5699, 2052, 2022, 2641, 1523, 3647, 1524, 2000, 4521, 2302, 8550, 2151, 3635, 1010, 6638, 1529, 2566, 2154, 1029, 2033, 1024, 2064, 1043, 7630, 15464, 3170, 2022, 14044, 1010, 2469, 1012, 2428, 14044, 1029, 2087, 3497, 2025, 4983, 2017, 2020, 2635, 1037, 2878, 2843, 1997, 2009, 1006, 2025, 2428, 2734, 2005, 1996, 2779, 2711, 1007, 1012, 2635, 1037, 3529, 2044, 2115, 27090, 5791, 2180, 1521, 1056, 3480, 1010, 2295, 1012, 2070, 2111, 2514, 2009, 7126, 1012, 2004, 2005, 1996, 5699, 2112, 1997, 2115, 3160, 1010, 2045, 2003, 2428, 2053, 2107, 2518, 2004, 2019, 2880, 1523, 3647, 1524, 3815, 1997, 5699, 2000, 4521, 2566, 2154, 2302, 8550, 3635, 1012, 2054, 2009, 2097, 2272, 2091, 2000, 2003, 2561, 10250, 10050, 2063, 13822, 1012, 2065, 2017, 2064, 4521, 2456, 10250, 18909, 2566, 2154, 1998, 2025, 5114, 3635, 1010, 2059, 2893, 2070, 1997, 2216, 2456, 10250, 18909, 2013, 5699, 2180, 1521, 1056, 2428, 3043, 3635, 1011, 7968, 1012, 1997, 2607, 1010, 2740, 1011, 7968, 2003, 2178, 2466, 1012, 2061, 1010, 1037, 2210, 5699, 2100, 4933, 1999, 2115, 8738, 2180, 1521, 1056, 3480, 2115, 3635, 2004, 2146, 2004, 2115, 2561, 10250, 10050, 2063, 13822, 2003, 2145, 2054, 2009, 2323, 2022, 1012, 2005, 2740, 5682, 2295, 2017, 2145, 2215, 2000, 2562, 1996, 5699, 13822, 2006, 1996, 2659, 2217, 1012, 11496, 1024, 2003, 2009, 7929, 2000, 2147, 1996, 14689, 10126, 2030, 2323, 2027, 2131, 1037, 2420, 2717, 2066, 1996, 2717, 1997, 1996, 6650, 1999, 1996, 2303, 1029, 2033, 1024, 2115, 14689, 2323, 2131, 2717, 2074, 2066, 2151, 2060, 6740, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1006, 17186, 2091, 1996, 3931, 2000, 3193, 1996, 15430, 7809, 1012, 1007, 1996, 6609, 4419, 3192, 2003, 2028, 1997, 1996, 2087, 3144, 1998, 2092, 1011, 2124, 15430, 1999, 2710, 1010, 6274, 2055, 1002, 2322, 2454, 1037, 2095, 2005, 4456, 2470, 1012, 2021, 2009, 2987, 1521, 1056, 16582, 2066, 2087, 4800, 19912, 3258, 1011, 7922, 4411, 1012, 1523, 2175, 2000, 2151, 1997, 2256, 4822, 1010, 2027, 1521, 2128, 2025, 11281, 1010, 1524, 2056, 5965, 4419, 1010, 6609, 1521, 1055, 3080, 2567, 1998, 1996, 3192, 1521, 1055, 14056, 1012, 1523, 1037, 2843, 1997, 1996, 7390, 2003, 6955, 1012, 1524, 1998, 2009, 1521, 1055, 2025, 2074, 1996, 4822, 1012, 2429, 2000, 4419, 1010, 8990, 2673, 1996, 3192, 2515, 2003, 2589, 10424, 16377, 9215, 1012, 1523, 2009, 1521, 1055, 2074, 1996, 2126, 2057, 1521, 2310, 3498, 1024, 8155, 1998, 2812, 1010, 1524, 2002, 2056, 1012, 4419, 2056, 1996, 3192, 3594, 16269, 8021, 3316, 2000, 3965, 2049, 10319, 4475, 1010, 2130, 2065, 2009, 2965, 2027, 1521, 2128, 2025, 3243, 2004, 13554, 1998, 19504, 2004, 2060, 15430, 1521, 22953, 20760, 6072, 1012, 2043, 7314, 2005, 2028, 1997, 1996, 3192, 1521, 1055, 6352, 3216, 2408, 1996, 2406, 5176, 2054, 2037, 5166, 2003, 1010, 2027, 2467, 2131, 1996, 2168, 7514, 1024, 1002, 1014, 1012, 1523, 1996, 2111, 2040, 2024, 6951, 2075, 2037, 2051, 2123, 1521, 1056, 2031, 1037, 5166, 1010, 1524, 2056, 4419, 1012, 1523, 2061, 2065, 2027, 2215, 2000, 2031, 2300, 2006, 2609, 1010, 2027, 2031, 2000, 2131, 2009, 6955, 1012, 2057, 1521, 2128, 2025, 2583, 2000, 3104, 2216, 5366, 1012, 1524, 2096, 2116, 1997, 1038, 1012, 1039, 1012, 1521, 1055, 2327, 15430, 3477, 2037, 5766, 1002, 5539, 1010, 2199, 2030, 2062, 1517, 1998, 7475, 2027, 2481, 1521, 1056, 9958, 2327, 5848, 2302, 2725, 2061, 1517, 1996, 6609, 4419, 3192, 12778, 2049, 2120, 2472, 2625, 2084, 1002, 6036, 1010, 2199, 1012, 1523, 7955, 2052, 2066, 2000, 2191, 1037, 2210, 2978, 2062, 2769, 1010, 1524, 2056, 4419, 1012, 1523, 2021, 2111, 2191, 18502, 1010, 2205, 1012, 1524, 1996, 6609, 4419, 3192, 1521, 1055, 3579, 2006, 1996, 3953, 2240, 2089, 4863, 2339, 2049, 15524, 11727, 2024, 1037, 12884, 1997, 2070, 1997, 1038, 1012, 1039, 1012, 1521, 1055, 2060, 2502, 15430, 1012, 2005, 2296, 7922, 1996, 3192, 13275, 1010, 2009, 15970, 2074, 2410, 16653, 2006, 15524, 1012, 2008, 22963, 2000, 2484, 16653, 2005, 1996, 4647, 4456, 3192, 1010, 2382, 16653, 2005, 1996, 3010, 4456, 2554, 1997, 1038, 1012, 1039, 1012, 1998, 19898, 1998, 3429, 16653, 2005, 1996, 2540, 1998, 6909, 3192, 1997, 1038, 1012, 1039, 1012, 1998, 19898, 1012, 1523, 2008, 1521, 1055, 2054, 6609, 2359, 1010, 1524, 2056, 4419, 1012, 1523, 2004, 2172, 2769, 2004, 2825, 2000, 2175, 2000, 4456, 2470, 1012, 1524, 2045, 2024, 2062, 2084, 2260, 1010, 2199, 5068, 15430, 1999, 1038, 1012, 1039, 1012, 1010, 7478, 2013, 4800, 19912, 3258, 1011, 7922, 10100, 2000, 10971, 5231, 1012, 2021, 1996, 9210, 1997, 2428, 2502, 15430, 1999, 1996, 2874, 2377, 1037, 4487, 13102, 18981, 11589, 3258, 3686, 2535, 1999, 1996, 4753, 1012, 2429, 2000, 2951, 9227, 2011, 5952, 4454, 1010, 1037, 4361, 1011, 2241, 2470, 3813, 1010, 1038, 1012, 1039, 1012, 1521, 1055, 2322, 2922, 15430, 1010, 2011, 1996, 3112, 1997, 2037, 15524, 1010, 4374, 3053, 1002, 5385, 2454, 1037, 2095, 1999, 11440, 1012, 2008, 1521, 1055, 5662, 2000, 2055, 4261, 2566, 9358, 1997, 2035, 1996, 2769, 2329, 25882, 2015, 2507, 2000, 5952, 1012, 2012, 1996, 6930, 3103, 1521, 1055, 5227, 1010, 5952, 4454, 9227, 4311, 2006, 1996, 2874, 1521, 1055, 2322, 2922, 15430, 1010, 2559, 2012, 2673, 2013, 2129, 2172, 2169, 5952, 15970, 2006, 15524, 2000, 2054, 2009, 12778, 2049, 3026, 12706, 1012, 5952, 4454, 2003, 1037, 2235, 3813, 2008, 2515, 7408, 1011, 2005, 1011, 2326, 2147, 2005, 11578, 1998, 3633, 1010, 23875, 2068, 2006, 2037, 11128, 3228, 1012, 1996, 3813, 2109, 2000, 2022, 1037, 5952, 2993, 2021, 2439, 2049, 11128, 3570, 1999, 2244, 2044, 2009, 3478, 2000, 4425, 2019, 3296, 2709, 2000, 1996, 2710, 6599, 4034, 1010, 2242, 1996, 3813, 1521, 1055, 6605, 2472, 1010, 5736, 8670, 10222, 1010, 2758, 2001, 2019, 3831, 15709, 1012, 2151, 3029, 2008, 2038, 1037, 11128, 3800, 1517, 2107, 2004, 1996, 4335, 1997, 5635, 1010, 3020, 2495, 2030, 1996, 12607, 1997, 4676, 1517, 2064, 6611, 2000, 1996, 13675, 2050, 2000, 2468, 1037, 5068, 5952, 1012, 1996, 3145, 5770, 1997, 2108, 1037, 5068, 5952, 2003, 2008, 2009, 2064, 3277, 4171, 28258, 2000, 17843, 1012, 2011, 2375, 1010, 2035, 5068, 15430, 1999, 2710, 2024, 3223, 2000, 5371, 3296, 5651, 2007, 1996, 13675, 2050, 1012, 5952, 4454, 3594, 2070, 4751, 2013, 2216, 13675, 2050, 4311, 1010, 2107, 2004, 3237, 9430, 1010, 1999, 2049, 17879, 1012, 2021, 2009, 2036, 3504, 2012, 2169, 5952, 1521, 1055, 15727, 2098, 3361, 8635, 2005, 15774, 2055, 2049, 16156, 1012, 1523, 2004, 18288, 2057, 2175, 2007, 1996, 2751, 3115, 1010, 2029, 2003, 1996, 15727, 2098, 3361, 8635, 1010, 1524, 2056, 8670, 10222, 1012, 1523, 2027, 2031, 2042, 2589, 2011, 2019, 20964, 1517, 2019, 2648, 3120, 1517, 1998, 2772, 2125, 2006, 2011, 1996, 2604, 1012, 1524, 5952, 4454, 1521, 1055, 16134, 2003, 2025, 2302, 2049, 4401, 1012, 2928, 14154, 29084, 1010, 1037, 4361, 5160, 1998, 6739, 2006, 15430, 1010, 2056, 2002, 6732, 3445, 16987, 2003, 1037, 2204, 2518, 2005, 1996, 11128, 4753, 1010, 2021, 2028, 2064, 2069, 2425, 2061, 2172, 2055, 1037, 5952, 2013, 2049, 3361, 8635, 1012, 1523, 2023, 2003, 5875, 3430, 1010, 2021, 2009, 3475, 1521, 1056, 28283, 22311, 6024, 1010, 1524, 2056, 14154, 29084, 1012, 1523, 2065, 2017, 2428, 2215, 2000, 2113, 2065, 1037, 5952, 2003, 1037, 2204, 5952, 1010, 2017, 2342, 2000, 2079, 2115, 2219, 2349, 29454, 29206, 3401, 1012, 2017, 1521, 2128, 2190, 2125, 2065, 2017, 2175, 6951, 2005, 1996, 5952, 4426, 1012, 1524, 8861, 22009, 1010, 2132, 1997, 25321, 7319, 2578, 2012, 9676, 2797, 7396, 2177, 1999, 4361, 1010, 10217, 2028, 2323, 2022, 17145, 1999, 3752, 2205, 2172, 2046, 1037, 5952, 1521, 1055, 3616, 1012, 1523, 1045, 2228, 2383, 2023, 2951, 3640, 14148, 1998, 5703, 2015, 1010, 1524, 2002, 2056, 1012, 1523, 2021, 2045, 2024, 2070, 2200, 4621, 15430, 2008, 2024, 2402, 2030, 2031, 2019, 18211, 3426, 2008, 2031, 2152, 10961, 21879, 1012, 2000, 6592, 2008, 15430, 2323, 2031, 1037, 6463, 1997, 1060, 2030, 1061, 2003, 2000, 2033, 1037, 2561, 28616, 2890, 28994, 19304, 2138, 2009, 2987, 1521, 1056, 5425, 1996, 9788, 8906, 1997, 15430, 1998, 4804, 4275, 1012, 1524, 2028, 1997, 1996, 3145, 20390, 5952, 4454, 3504, 2012, 2003, 2129, 2172, 15430, 5247, 2006, 15524, 1010, 1037, 3145, 5142, 2005, 2116, 17843, 1012, 8670, 10222, 2056, 2028, 1997, 1996, 2477, 2008, 4527, 2014, 1010, 1999, 2559, 2012, 5606, 1997, 15430, 2408, 1996, 2406, 1010, 2003, 2008, 2312, 15430, 2411, 5247, 1037, 3618, 3745, 1997, 2037, 26178, 2006, 15524, 2084, 3760, 15430, 2079, 1012, 1523, 1045, 2052, 2031, 5071, 1010, 2004, 2019, 11708, 1010, 2008, 1996, 7046, 2017, 2024, 1996, 2062, 3465, 1011, 8114, 2017, 2024, 1010, 1524, 2016, 2056, 1012, 1523, 2057, 1521, 2128, 2025, 3773, 2008, 1012, 2009, 1521, 1055, 2941, 1996, 2502, 4364, 2040, 4050, 2599, 1999, 2561, 15524, 5366, 1998, 2037, 15524, 5366, 2024, 6022, 3020, 2084, 3760, 1010, 2392, 1011, 2240, 4411, 1012, 1524, 8670, 10222, 2038, 1037, 3399, 2005, 2339, 2008, 2453, 2022, 1024, 2502, 15430, 2024, 1999, 2107, 9205, 2971, 2007, 2169, 2060, 2005, 11440, 2008, 2027, 1521, 2128, 3140, 2000, 5247, 2062, 1998, 2062, 2006, 15524, 2074, 2000, 2562, 2039, 1012, 1523, 2009, 3849, 2000, 2022, 2023, 2608, 2679, 2090, 15430, 2000, 2131, 1037, 3469, 3745, 1997, 17843, 1521, 15882, 2015, 1010, 1524, 2016, 2056, 1012, 1996, 2710, 6599, 4034, 12466, 11594, 2008, 16755, 15430, 2562, 2037, 15524, 5366, 2000, 2625, 2084, 3486, 2566, 9358, 1997, 11440, 1010, 2295, 2009, 3964, 2045, 2064, 2022, 11476, 4436, 2005, 2068, 2000, 2022, 3020, 1012, 2426, 1038, 1012, 1039, 1012, 1521, 1055, 2327, 2322, 15430, 1010, 2069, 2028, 1517, 1996, 2540, 1998, 6909, 3192, 1997, 1038, 1012, 1039, 1012, 1998, 19898, 1517, 23651, 2008, 5787, 1010, 2007, 15524, 5366, 2197, 2095, 5662, 2000, 3429, 2566, 9358, 1997, 2561, 11440, 1012, 16595, 6610, 8040, 14854, 6528, 1010, 3580, 1011, 2343, 1997, 5446, 1998, 3447, 2005, 1996, 3192, 1010, 8047, 1996, 5952, 1521, 1055, 2152, 5366, 1010, 9073, 2116, 1997, 2049, 15524, 3454, 1517, 2066, 2341, 1011, 2000, 1011, 2341, 10683, 7741, 1998, 5376, 8164, 2005, 2540, 2082, 15524, 9297, 1517, 2393, 5333, 7073, 2055, 2540, 4295, 1998, 7965, 2542, 2750, 5026, 1999, 4659, 2210, 2769, 1012, 2005, 2742, 1010, 2056, 8040, 14854, 6528, 1010, 10683, 8043, 2015, 2192, 2041, 2489, 3430, 2006, 2540, 4295, 2043, 2341, 1011, 10591, 1998, 5376, 8164, 2005, 2540, 16171, 3558, 4023, 2426, 2402, 2111, 1012, 1523, 2256, 3193, 2003, 2008, 2057, 3073, 8995, 2740, 9740, 2592, 1998, 4547, 3450, 1524, 2083, 15524, 1010, 2016, 2056, 1012, 1523, 2057, 2763, 3543, 8817, 1997, 3633, 1012, 1524, 2197, 2095, 1010, 1996, 4992, 5628, 1997, 2540, 1998, 6909, 2020, 17143, 2046, 1037, 2309, 2120, 5952, 1010, 3574, 1996, 1038, 1012, 1039, 1012, 3589, 2097, 2644, 7316, 2049, 16156, 10329, 2927, 2279, 2095, 1012, 2426, 1038, 1012, 1039, 1012, 1521, 1055, 2327, 2322, 15430, 1010, 1996, 3010, 4456, 2554, 1997, 1038, 1012, 1039, 1012, 1998, 19898, 2001, 2117, 1999, 15524, 5366, 2012, 2382, 2566, 9358, 1012, 1523, 1999, 2070, 3572, 1010, 1999, 2344, 2000, 2022, 2583, 2000, 2031, 1037, 4121, 4254, 1999, 1037, 2200, 10368, 2181, 2107, 2004, 4456, 1010, 2017, 2079, 2031, 2000, 15697, 2769, 2000, 2191, 2769, 1010, 1524, 2056, 3347, 2497, 27829, 20894, 1010, 1996, 2554, 1521, 1055, 5766, 1012, 1996, 2554, 2036, 2056, 2009, 2003, 6176, 2000, 4070, 2005, 2035, 2049, 15524, 5366, 1010, 2164, 23911, 2075, 1037, 4664, 1997, 2049, 10808, 3021, 2000, 15524, 2241, 2006, 1996, 2193, 1997, 3095, 1999, 2049, 4822, 2040, 2147, 1999, 1996, 15524, 2533, 1012, 2096, 2027, 2031, 3020, 15524, 5366, 2084, 2060, 2350, 1038, 1012, 1039, 1012, 15430, 1010, 2119, 2540, 1998, 6909, 1998, 1996, 4456, 2554, 5247, 2625, 2006, 15524, 2085, 2084, 2027, 2106, 2093, 2086, 3283, 1010, 2429, 2000, 5952, 4454, 1012, 2087, 1997, 1038, 1012, 1039, 1012, 1521, 1055, 2922, 15430, 2031, 15524, 5366, 2090, 2184, 1998, 2423, 2566, 9358, 1012, 2174, 1010, 2045, 2024, 2070, 2521, 2896, 1010, 2066, 1996, 6930, 3192, 2012, 2074, 2048, 2566, 9358, 1012, 6615, 12223, 1010, 1996, 3192, 1521, 1055, 3764, 26760, 20778, 1010, 2056, 2008, 1999, 26935, 2000, 2060, 15430, 1010, 1996, 3192, 2003, 1999, 1037, 4310, 2597, 2138, 2087, 1997, 2049, 5029, 2272, 2013, 15108, 2015, 2008, 2020, 2511, 5109, 3283, 1998, 9699, 3318, 2296, 2095, 1012, 1998, 2096, 1996, 3192, 9005, 2047, 15108, 2015, 2296, 2095, 1010, 2049, 5891, 2426, 2312, 17843, 2003, 2061, 2511, 2085, 2008, 2009, 2987, 1521, 1056, 2031, 2000, 2079, 2172, 2000, 9958, 2068, 1012, 1523, 2057, 1521, 2128, 2025, 15055, 2000, 3006, 1999, 1996, 2168, 2126, 1524, 2004, 2060, 15430, 1010, 2016, 2056, 1012, 1523, 2111, 3227, 2272, 2000, 2149, 1012, 1524, 2178, 3145, 17245, 2443, 1999, 5952, 4454, 1521, 1055, 17879, 2003, 2054, 15430, 3477, 2037, 2184, 3284, 1011, 3825, 3095, 1999, 10300, 1998, 6666, 1010, 1037, 3275, 15430, 2024, 3223, 2000, 26056, 2000, 1996, 13675, 2050, 1012, 1523, 2045, 1521, 1055, 1037, 2691, 10661, 1999, 1996, 2270, 2008, 2111, 2040, 2147, 1999, 1996, 11128, 4753, 2024, 2104, 4502, 3593, 1010, 1524, 2056, 8670, 10222, 1012, 1523, 2559, 2012, 1996, 5221, 4411, 1010, 1045, 2052, 10197, 2037, 20566, 2024, 6022, 2682, 3006, 6165, 1999, 3408, 1997, 6666, 1998, 20566, 1012, 12435, 2012, 2560, 2000, 1996, 2797, 4753, 1012, 1524, 1999, 2049, 2470, 1010, 5952, 4454, 2246, 2012, 1996, 2087, 3522, 13675, 2050, 15242, 2015, 2800, 2005, 2169, 5952, 1010, 2029, 2001, 2249, 2951, 2005, 2087, 1012, 1997, 1038, 1012, 1039, 1012, 1521, 1055, 2322, 2922, 15430, 1010, 3157, 3477, 2037, 2327, 7904, 1517, 2788, 1996, 5766, 1517, 2090, 1002, 3263, 1010, 2199, 1998, 1002, 8698, 1010, 2199, 1999, 2561, 9430, 1010, 1037, 3275, 2008, 2950, 10300, 1998, 6666, 1012, 1998, 2178, 2274, 15430, 3477, 2037, 2327, 7904, 1002, 8698, 1010, 2199, 2030, 2062, 1012, 1997, 2216, 2274, 1010, 2093, 2024, 5534, 1010, 3005, 11274, 2448, 2350, 13696, 2007, 5190, 1997, 12655, 1998, 2493, 1012, 2006, 13675, 2050, 1521, 1055, 10300, 1011, 19380, 3596, 1010, 1002, 8698, 1010, 2199, 1011, 4606, 2003, 1996, 3284, 9430, 4696, 3205, 1010, 2061, 2045, 1521, 1055, 2053, 2126, 2013, 1996, 3596, 2894, 2000, 2113, 2129, 2172, 2682, 2008, 2504, 2619, 2003, 3825, 1012, 4647, 2336, 1521, 1055, 2902, 3192, 2876, 1521, 1056, 2360 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 6959, 2592, 1004, 5366, 1011, 4031, 2592, 1011, 2026, 2344, 1011, 6023, 2012, 23088, 23809, 2063, 1012, 4012, 1011, 2003, 13063, 2013, 2115, 3573, 3647, 1998, 5851, 1029, 1011, 2079, 2017, 2911, 2000, 2026, 2406, 1029, 1011, 2129, 2079, 1045, 2173, 2019, 2344, 2007, 23088, 23809, 2063, 1012, 4012, 1029, 1011, 2129, 2079, 1045, 4942, 29234, 2000, 2115, 17178, 1029, 1011, 2079, 2017, 2031, 1037, 10161, 1029, 1011, 2079, 2017, 2031, 1037, 4497, 1045, 2064, 3942, 1029, 1011, 2079, 2017, 3749, 17264, 7597, 2000, 7340, 1998, 2060, 5661, 1029, 1011, 2129, 2064, 1045, 4895, 6342, 5910, 26775, 20755, 2013, 22028, 1029, 6959, 2592, 1004, 5366, 2129, 2172, 2515, 6959, 3465, 1029, 3531, 11562, 2182, 2005, 2440, 4751, 1997, 2256, 6959, 5366, 1012, 2079, 2017, 3749, 1037, 2279, 2154, 6959, 2326, 1029, 2057, 3749, 1037, 2279, 2154, 6959, 2326, 2005, 2866, 4449, 2872, 2077, 1017, 9737, 2013, 6928, 2000, 9432, 1012, 4671, 4449, 2872, 2006, 5958, 2097, 2022, 5359, 2006, 6928, 1012, 4671, 6959, 2003, 5338, 2012, 1037, 4257, 3446, 1997, 27813, 1012, 5585, 2566, 2344, 1012, 2129, 2146, 2097, 2026, 2344, 2202, 2000, 7180, 1029, 2017, 2097, 4374, 2019, 2344, 13964, 10373, 2320, 2017, 2031, 2872, 2115, 2344, 1998, 1037, 18365, 13964, 2320, 1996, 2344, 2038, 2042, 12057, 1012, 2005, 2440, 6959, 2335, 1998, 7829, 4751, 1010, 3531, 11562, 2182, 1012, 1011, 4449, 2872, 2005, 6959, 2306, 1996, 2866, 2024, 2741, 2006, 1037, 3115, 2326, 2007, 2548, 5653, 1010, 2635, 3155, 1017, 1011, 1019, 2551, 2420, 2000, 7180, 2320, 14501, 1012, 2065, 2115, 2344, 2038, 2025, 3369, 2306, 2403, 2420, 2044, 1996, 3058, 1997, 18365, 1010, 3531, 3967, 2256, 8013, 2326, 2136, 1012, 1011, 4449, 2872, 2005, 6959, 2306, 2885, 2024, 2741, 2006, 1037, 3115, 2250, 5653, 2326, 2007, 2548, 5653, 1010, 2635, 3155, 2184, 2551, 2420, 2000, 7180, 2320, 14501, 1012, 2065, 2115, 2344, 2038, 2025, 3369, 2306, 2403, 2420, 2044, 1996, 3058, 1997, 18365, 1010, 3531, 3967, 2256, 8013, 2326, 2136, 1012, 1011, 4449, 2872, 2005, 6959, 2000, 1996, 2717, 1997, 1996, 2088, 2024, 2741, 2006, 1037, 3115, 2250, 5653, 2326, 2007, 2548, 5653, 1010, 2635, 3155, 2321, 1011, 2322, 2551, 2420, 2000, 7180, 2320, 14501, 1012, 2065, 2115, 2344, 2038, 2025, 3369, 2306, 2538, 2420, 2044, 1996, 3058, 1997, 18365, 1010, 3531, 3967, 2256, 8013, 2326, 2136, 1012, 3531, 11562, 2182, 2005, 2440, 7829, 2592, 1010, 2164, 1996, 3316, 2057, 2224, 2000, 4604, 2115, 5350, 1012, 2054, 2065, 1045, 1005, 1049, 2025, 1999, 2043, 6959, 2003, 4692, 1029, 2065, 2017, 2024, 2025, 1999, 2043, 6959, 2003, 4692, 1010, 1037, 4003, 2097, 2022, 2187, 2011, 2256, 6959, 4005, 9990, 2054, 2000, 2079, 2279, 1012, 2017, 2024, 2788, 2445, 1996, 5724, 2000, 2593, 4060, 2039, 2115, 20463, 2013, 2115, 2334, 22210, 2436, 2030, 2695, 2436, 1010, 2030, 2000, 13621, 1037, 2047, 6959, 3058, 1012, 2003, 2009, 2825, 2000, 2650, 2026, 2344, 1029, 9651, 2592, 2003, 2800, 2065, 2017, 2031, 4217, 4671, 6959, 1012, 3531, 3967, 2256, 8013, 2326, 2136, 2006, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1998, 2027, 2097, 3073, 2017, 2007, 2115, 9651, 2193, 1012, 2064, 1045, 2344, 5167, 2008, 2024, 1005, 2041, 1997, 4518, 1005, 1029, 2057, 2024, 4039, 2000, 2202, 4449, 2005, 5167, 2008, 2024, 2747, 2041, 1997, 4518, 2004, 2057, 3685, 11302, 2043, 2027, 2097, 2279, 2022, 2800, 2005, 18365, 1012, 2129, 2079, 1045, 2113, 2065, 2019, 8875, 2003, 1999, 4518, 1029, 2065, 1037, 4031, 2038, 2019, 1005, 5587, 2000, 4524, 1521, 6462, 2279, 2000, 2009, 1010, 2023, 2965, 2008, 2009, 2003, 1999, 4518, 1998, 2800, 2005, 18365, 1012, 2006, 4678, 6642, 2057, 2089, 7523, 2008, 2019, 8875, 2003, 2041, 1997, 4518, 2044, 2017, 2031, 2872, 2115, 2344, 1012, 2065, 2023, 6433, 1010, 2057, 2097, 4425, 1996, 6893, 1997, 1996, 2344, 1998, 2593, 2832, 1037, 25416, 8630, 2005, 1996, 8875, 2008, 2003, 20165, 1006, 2164, 2151, 3141, 7829, 5366, 1007, 1010, 2030, 2057, 2097, 3967, 2017, 2000, 3749, 2019, 4522, 8875, 2030, 2946, 1012, 2129, 2064, 1045, 3477, 2005, 2026, 2344, 1029, 2057, 5138, 10504, 2013, 2035, 2350, 4923, 1013, 2139, 16313, 5329, 1011, 3040, 11522, 1010, 9425, 1010, 9425, 7160, 1010, 6942, 1013, 25270, 1006, 2866, 3843, 5329, 2069, 1007, 1010, 3948, 1006, 2866, 3843, 5329, 2069, 1007, 1010, 3477, 12952, 1010, 2866, 18178, 10997, 1010, 2866, 10690, 4449, 1998, 2248, 2769, 4449, 1999, 9044, 10933, 1012, 3531, 3602, 2008, 2025, 2035, 7909, 4725, 2024, 2800, 1999, 2035, 3032, 2057, 2911, 2000, 1012, 3531, 3967, 2149, 2005, 2062, 2592, 1012, 2079, 2017, 5138, 5356, 1010, 7318, 15210, 2030, 2530, 2586, 15210, 1029, 2057, 2079, 2025, 5138, 5356, 1010, 7318, 15210, 2030, 10504, 2011, 2530, 2586, 15210, 1012, 2054, 12731, 14343, 14767, 2064, 1045, 2224, 1029, 2035, 10504, 13995, 2083, 2256, 4037, 2024, 1999, 9044, 10933, 1012, 2023, 3815, 2097, 2059, 2022, 4991, 2046, 1996, 9598, 2109, 2011, 2115, 4003, 3277, 2099, 1012, 2043, 2003, 2026, 4003, 5338, 1029, 2115, 4003, 2097, 2022, 5338, 2006, 3144, 6503, 1997, 3036, 14148, 2864, 2011, 2256, 7909, 10802, 1012, 2065, 2057, 2024, 4039, 2000, 2832, 2115, 7909, 1010, 2057, 2097, 3967, 2007, 2017, 3081, 10373, 2000, 12367, 2017, 1997, 2023, 1012, 3531, 3602, 2008, 2065, 1037, 7909, 2003, 2025, 19256, 1010, 2115, 4003, 3277, 2099, 2089, 2145, 3914, 1996, 5029, 3574, 2008, 2017, 2089, 2025, 2022, 2583, 2000, 3229, 2068, 2005, 1037, 2460, 2558, 1012, 2026, 7909, 2180, 1005, 1056, 2175, 2083, 1010, 2339, 2003, 2023, 1029, 7909, 2089, 2022, 6430, 2005, 2195, 4436, 1012, 2065, 2017, 2079, 2025, 2031, 2438, 5029, 1999, 2115, 4070, 2000, 3104, 1996, 2561, 3465, 1997, 1996, 2344, 1010, 2065, 2045, 2024, 5860, 2890, 9739, 9243, 2090, 2115, 25640, 1998, 6959, 11596, 2030, 2065, 2017, 2031, 8127, 16542, 4003, 4751, 2115, 7909, 2089, 2025, 2022, 3970, 1012, 2065, 2017, 2024, 12422, 3251, 2115, 7909, 2038, 2908, 2083, 1010, 3531, 2079, 2025, 16390, 2000, 3967, 2256, 8013, 2326, 2136, 2040, 2097, 2298, 2046, 2009, 2005, 2017, 1012, 2054, 2003, 2115, 5651, 3343, 1029, 2057, 5138, 5651, 2006, 2035, 3688, 3272, 25381, 1010, 14236, 1010, 9880, 16689, 1998, 2303, 21545, 1006, 1041, 1012, 1043, 1012, 27212, 1007, 1010, 2005, 19548, 4436, 1012, 5350, 2442, 2022, 2513, 1999, 3819, 4650, 1006, 1045, 1012, 1041, 1012, 2053, 4111, 2606, 2030, 6017, 1007, 2007, 2037, 2434, 14793, 1012, 2434, 1052, 1004, 1052, 5366, 3825, 2043, 2017, 2872, 2115, 2344, 2097, 2025, 2022, 25416, 8630, 2098, 1012, 2129, 2079, 1045, 2709, 2019, 8875, 1006, 1055, 1007, 1029, 2256, 3733, 5651, 2326, 2003, 3435, 1998, 2038, 25016, 2489, 1012, 2035, 2017, 2342, 2000, 2079, 2003, 3582, 1996, 8128, 2006, 1996, 7901, 1997, 2115, 1999, 6767, 6610, 1010, 2437, 2469, 2000, 4604, 2009, 2067, 2000, 2149, 2007, 1996, 5350, 2017, 4299, 2000, 2709, 1012, 2006, 2049, 3647, 5508, 2007, 2149, 2057, 2097, 2022, 2062, 2084, 5627, 2000, 3749, 2019, 3863, 2030, 25416, 8630, 2004, 7303, 2006, 2115, 1999, 6767, 6610, 1012, 3531, 3602, 1024, 6304, 2024, 3625, 2005, 12725, 2513, 5350, 3362, 2149, 9689, 1012, 2057, 3568, 16755, 2008, 2017, 4604, 2035, 5167, 2000, 2149, 2478, 1037, 2680, 6959, 2326, 2107, 2004, 2548, 5653, 2680, 6959, 1012, 1045, 2031, 2363, 1037, 28927, 2030, 16542, 8875, 2009, 2003, 2590, 2008, 2017, 3967, 2256, 8013, 2326, 2136, 2077, 4192, 1037, 5591, 2030, 16542, 8875, 2000, 2149, 1010, 2593, 2011, 3042, 2006, 5890, 23833, 2509, 6390, 22022, 16576, 1006, 6928, 2000, 5958, 1010, 1023, 3286, 2000, 1019, 9737, 1007, 2030, 2011, 10373, 10373, 1030, 2742, 1012, 4012, 1006, 3531, 14686, 2115, 2344, 4431, 2193, 1999, 2115, 10373, 1007, 2061, 2008, 2057, 2064, 3073, 2017, 2007, 2256, 2489, 19894, 5651, 4769, 1012, 2031, 2017, 2363, 2026, 2709, 1029, 2057, 6614, 2000, 2832, 2035, 5651, 2306, 4466, 2847, 1997, 4909, 2068, 1012, 2320, 2057, 2031, 13995, 2115, 5227, 2057, 2097, 4604, 2017, 2019, 10373, 2000, 12210, 1012, 2043, 2097, 1045, 4374, 2026, 6110, 8875, 1029, 2320, 1996, 3863, 2038, 2042, 13995, 1010, 2057, 2097, 4604, 2017, 2019, 10373, 2000, 12210, 2008, 1996, 5350, 2024, 2006, 2037, 2126, 2000, 2017, 1012, 2005, 7829, 2335, 3531, 11562, 2182, 1012, 2043, 2097, 1045, 4374, 2026, 25416, 8630, 1029, 2115, 25416, 8630, 2097, 2022, 13995, 2320, 2057, 2031, 2363, 2115, 2513, 8875, 1006, 1055, 1007, 2067, 2012, 2256, 4822, 1012, 2320, 2363, 1010, 2057, 2097, 4604, 2017, 2019, 10373, 2000, 12210, 24306, 1012, 2073, 2825, 2017, 2097, 2022, 25416, 8630, 2098, 3081, 1996, 2434, 4118, 1997, 7909, 1006, 2035, 25416, 26698, 2024, 13995, 1999, 9044, 10933, 1007, 1012, 25416, 26698, 13995, 2067, 2000, 1037, 2139, 16313, 1013, 4923, 4003, 2788, 2202, 1017, 1011, 1019, 2551, 2420, 2000, 3711, 1999, 2115, 4070, 1012, 25416, 26698, 13995, 3081, 3477, 12952, 2097, 2788, 3711, 1999, 2115, 3477, 12952, 4070, 2006, 1996, 2168, 2154, 1010, 5819, 18178, 4226, 25416, 26698, 2097, 2022, 13995, 1998, 2741, 2041, 2000, 2017, 2306, 1021, 1011, 2184, 2420, 1997, 1996, 25416, 8630, 2108, 7303, 1012, 2129, 2064, 1045, 2156, 1996, 3570, 1997, 2026, 2344, 1029, 2065, 2017, 2031, 2872, 2115, 2344, 3784, 1010, 2035, 2017, 2342, 2000, 2079, 2003, 8833, 1999, 2000, 2115, 4070, 2478, 2115, 10373, 4769, 1998, 20786, 1012, 2065, 2017, 11562, 2006, 1520, 3193, 2344, 2381, 1521, 2017, 2097, 2156, 1996, 2783, 3570, 1997, 2115, 2344, 1012, 2065, 2017, 2024, 2383, 4390, 15899, 1999, 2000, 2115, 4070, 1010, 3531, 2131, 1999, 3543, 2007, 2256, 8013, 2326, 2136, 1012, 2038, 2026, 2344, 2042, 12057, 1029, 2320, 2115, 2344, 2038, 2042, 2741, 2041, 2000, 2017, 2057, 2097, 4604, 2017, 1037, 18365, 13964, 10373, 1012, 14084, 1010, 2017, 2064, 4638, 3251, 2115, 2344, 2038, 2042, 14501, 2011, 15899, 1999, 2000, 2115, 4070, 1998, 10523, 2115, 2344, 2381, 1012, 2064, 1045, 17542, 2026, 2344, 2044, 2009, 2038, 2042, 2872, 1029, 2057, 2024, 2200, 7098, 1997, 2129, 2855, 2057, 2832, 1998, 2911, 4449, 1012, 2349, 2000, 2023, 1010, 2057, 5478, 16990, 11186, 2000, 2022, 2741, 2000, 2149, 2039, 2306, 2028, 3178, 2044, 6885, 2115, 2344, 1012, 3568, 2065, 2017, 4299, 2000, 17542, 2115, 2344, 1010, 3531, 10373, 2256, 8013, 2326, 2136, 3022, 2574, 2004, 2825, 999, 2005, 2115, 5227, 2000, 2022, 13995, 5147, 1010, 3531, 5676, 2017, 2404, 1520, 17542, 2344, 1521, 1998, 2115, 2344, 2193, 1999, 1996, 3395, 1997, 2115, 10373, 1012, 14084, 2017, 2064, 2655, 2256, 8013, 2326, 2136, 2239, 5890, 23833, 2509, 6390, 22022, 16576, 1012, 2256, 3210, 2024, 2330, 2013, 6928, 2000, 5958, 1010, 1023, 3286, 2000, 1019, 9737, 1012, 2064, 1045, 2689, 5167, 2030, 27950, 1996, 6959, 4769, 2006, 2026, 2344, 2320, 1045, 2031, 2872, 2009, 1029, 2349, 2000, 2256, 3435, 6364, 1998, 18365, 2335, 1010, 2057, 2024, 4039, 2000, 11302, 11186, 2000, 2689, 4449, 2320, 2027, 2031, 2042, 2872, 1012, 2174, 1010, 3531, 2514, 2489, 2000, 10373, 2256, 8013, 2326, 2136, 2306, 2019, 3178, 1997, 6885, 2115, 2344, 1010, 5517, 1520, 2689, 2344, 1521, 2030, 1520, 2689, 4769, 1521, 1998, 2115, 4431, 2193, 1999, 1996, 3395, 1997, 2115, 10373, 1998, 2057, 2097, 2079, 2256, 2190, 2000, 2895, 2115, 5227, 1012, 14084, 1010, 2017, 2064, 2655, 2256, 8013, 2326, 2136, 2006, 5890, 23833, 2509, 6390, 22022, 16576, 1012, 2256, 3210, 2024, 2330, 2013, 6928, 2000, 5958, 1010, 1023, 3286, 2000, 1019, 9737, 1012, 1045, 1005, 2310, 6404, 1996, 20786, 2006, 2026, 23088, 23809, 2063, 4070, 1012, 2064, 1045, 25141, 2009, 1029, 2748, 1012, 2000, 25141, 2115, 20786, 1010, 3531, 11562, 2006, 1005, 2115, 4070, 1005, 1999, 1996, 2327, 2157, 2192, 3420, 1997, 1996, 2609, 1010, 2059, 2175, 2000, 1996, 1005, 6404, 2115, 20786, 1029, 1005, 4957, 1012, 6023, 2012, 23088, 23809, 2063, 1012, 4012, 2003, 13063, 2013, 2115, 4037, 3647, 1998, 5851, 1029, 2748, 999, 2009, 2003, 2074, 2004, 3647, 2000, 2344, 3784, 2013, 1037, 16360, 23056, 3784, 3573, 2107, 2004, 23088, 23809, 2063, 1012, 4012, 2004, 2009, 2003, 2000, 3477, 2478, 2115, 4923, 2030, 2139, 16313, 4003, 1999, 1037, 4497, 1012, 2005, 2582, 4751, 2006, 2129, 2057, 4047, 2115, 4751, 1010, 3531, 11562, 2182, 1012, 2079, 2017, 2911, 2000, 2026, 2406, 1029, 2004, 1037, 3795, 3573, 2057, 2911, 2035, 2058, 1996, 2088, 1012, 3531, 11562, 2182, 2005, 6959, 2592, 1998, 7829, 6165, 5816, 2000, 2115, 2406, 1012, 2129, 2079, 1045, 2173, 2019, 2344, 2007, 23088, 23809, 2063, 1012, 4012, 1029, 2044, 11347, 2075, 2256, 4037, 1998, 17739, 1996, 5167, 2017, 4299, 2000, 5309, 2478, 1996, 1520, 5587, 2000, 4524, 1521, 6462, 1010, 2017, 2059, 2342, 2000, 11562, 2006, 1996, 1520, 2115, 4524, 1521, 6462, 1999, 1996, 2327, 2157, 2192, 3420, 1997, 1996, 4037, 1012, 2059, 3432, 3582, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4357, 1024, 1042, 1012, 1059, 1012, 2139, 1047, 3917, 2243, 10263, 2011, 2198, 5529, 2378, 5369, 2001, 2148, 3088, 1005, 1055, 2343, 2013, 2960, 1011, 2807, 1998, 1037, 2522, 1011, 7799, 2007, 26887, 1997, 1996, 2857, 10501, 3521, 3396, 1012, 2064, 2017, 3342, 2043, 2017, 2034, 2234, 2408, 1996, 2171, 26887, 1029, 1064, 2092, 1010, 5525, 2009, 2001, 2043, 2002, 2234, 2046, 1996, 2739, 1010, 2043, 2002, 2001, 4727, 1010, 2043, 1996, 2878, 5436, 2000, 13621, 2019, 10138, 2001, 14486, 1010, 2007, 1996, 7012, 2008, 2628, 1012, 2008, 2001, 1996, 2034, 2051, 2008, 1996, 2171, 26887, 2234, 2000, 2026, 3716, 1012, 1045, 2001, 1037, 2200, 2402, 5160, 2059, 1010, 2074, 3728, 4591, 2013, 2118, 1012, 1012, 1012, 1012, 2023, 2001, 1037, 3979, 2055, 20223, 1010, 16857, 1997, 1996, 2231, 1012, 26887, 2001, 1996, 2132, 1997, 1996, 4397, 2719, 4273, 3358, 1997, 1996, 2019, 2278, 1012, 1999, 3777, 1010, 2027, 1005, 1040, 2623, 1996, 4598, 1997, 2023, 3343, 2011, 11221, 2039, 1052, 8516, 5644, 1998, 3121, 1012, 1012, 1012, 14855, 1010, 2026, 7729, 1998, 2216, 1997, 2026, 16682, 2306, 1996, 2120, 2283, 1011, 1011, 2120, 2283, 6793, 1010, 2025, 3161, 8801, 1011, 1011, 2001, 2008, 2182, 2057, 2031, 2242, 2029, 2001, 3740, 1010, 2029, 23689, 15198, 2025, 2069, 2114, 1996, 4277, 1997, 2148, 3088, 1010, 2021, 2029, 1999, 2151, 2406, 1010, 2007, 2030, 2302, 17862, 1010, 2052, 2031, 2042, 16385, 3085, 2065, 2111, 2020, 2179, 5905, 1010, 1998, 2306, 1996, 7705, 1997, 2151, 25825, 1010, 2092, 1011, 2764, 3423, 2291, 1010, 2052, 2031, 2042, 5240, 2004, 6997, 1999, 2008, 3168, 1997, 1996, 2773, 1012, 1045, 2288, 2000, 2113, 2032, 2004, 1037, 2200, 2204, 19373, 1010, 1037, 2158, 2007, 1037, 3423, 2568, 1010, 2635, 2046, 4070, 2035, 8866, 1012, 2746, 5743, 1010, 3227, 4092, 1010, 2007, 9608, 14054, 1998, 9597, 1012, 1012, 1012, 5576, 16865, 4383, 1012, 1012, 1012, 1012, 2061, 2002, 2001, 1037, 2204, 11265, 3995, 10711, 4263, 1012, 1045, 2036, 2288, 2000, 2113, 2032, 3243, 2574, 2004, 2019, 2004, 24518, 3761, 1012, 2057, 7021, 2009, 2004, 1037, 3671, 2832, 2008, 1996, 2375, 2323, 2202, 2049, 2607, 1012, 2002, 2001, 5338, 1999, 2019, 2330, 2457, 1012, 2002, 2018, 2440, 4128, 1997, 1037, 3811, 4591, 3639, 2136, 1012, 2002, 2018, 1037, 4189, 3979, 2306, 1996, 7705, 1997, 1996, 2375, 1012, 2012, 1996, 2168, 2051, 1010, 2057, 2371, 2009, 2001, 2036, 15123, 2138, 2525, 7776, 2007, 2116, 2060, 2304, 4177, 1031, 2020, 1033, 6461, 2012, 1037, 9379, 5813, 1998, 6461, 2012, 1010, 2004, 2057, 7021, 2009, 2059, 1010, 5026, 2440, 2576, 2916, 2000, 2035, 10823, 1999, 2148, 3088, 1012, 2755, 2003, 2008, 4069, 2304, 4177, 2802, 1996, 2878, 2558, 1010, 2157, 2039, 2000, 1996, 2203, 1010, 1998, 2672, 1996, 2087, 4069, 5921, 2068, 1010, 24792, 6342, 2705, 2226, 2021, 16001, 9351, 2072, 1010, 3569, 1996, 9379, 2799, 1010, 1998, 2196, 3569, 1996, 6208, 2799, 1012, 2061, 2017, 2387, 2122, 2111, 2004, 4795, 1012, 2748, 1010, 2004, 4795, 1012, 2009, 2001, 3154, 2008, 2018, 2027, 7528, 2037, 3488, 1010, 2008, 2116, 7036, 9272, 2052, 2031, 2351, 1010, 1998, 1996, 6827, 4708, 1997, 2151, 2231, 2003, 2000, 5441, 2375, 1998, 2344, 1010, 1998, 4047, 1996, 3268, 1998, 3200, 1997, 2049, 4480, 1012, 2004, 2017, 2234, 2046, 2231, 1010, 2017, 2034, 2150, 2019, 6131, 1998, 2059, 2587, 1996, 5239, 1012, 2079, 2017, 3342, 1996, 2034, 2051, 26887, 2453, 2031, 2272, 2039, 1999, 2008, 6123, 1998, 2339, 1029, 2013, 1037, 7199, 2220, 2754, 1010, 1045, 2064, 1005, 1056, 3342, 3563, 5246, 1010, 2009, 2001, 3154, 2008, 2002, 1010, 1999, 2151, 2724, 1010, 2001, 23454, 6503, 1997, 2054, 2001, 1010, 2012, 2008, 2754, 1010, 5240, 2004, 1037, 3671, 2744, 1997, 10219, 2005, 8307, 2040, 2038, 2042, 7331, 2000, 2166, 10219, 1010, 2004, 1996, 2375, 2059, 2001, 1012, 2111, 2020, 5570, 2207, 2044, 2538, 2086, 1010, 2045, 7875, 12166, 1012, 2061, 1996, 2342, 2005, 2010, 2713, 2001, 6936, 2013, 2051, 2000, 2051, 1012, 2045, 2001, 2005, 2033, 1010, 2004, 1037, 22757, 1010, 1996, 2342, 2138, 2009, 2001, 2069, 4189, 1012, 2045, 2020, 2036, 2576, 12113, 1012, 2002, 2018, 2468, 1010, 2525, 2059, 1010, 2019, 12696, 1010, 1998, 2010, 2506, 10219, 2001, 2028, 1997, 1996, 2502, 6832, 3314, 2029, 4504, 1999, 1996, 3144, 25580, 1997, 2216, 2648, 2148, 3088, 2040, 2359, 2000, 6135, 27152, 2148, 3088, 1012, 2010, 2506, 10219, 2001, 1037, 2430, 4323, 1997, 1996, 3424, 1011, 2148, 3060, 3450, 2802, 1996, 2088, 1012, 2026, 8646, 3701, 9411, 2007, 2023, 1012, 1045, 2001, 2025, 2019, 10305, 2112, 1997, 1996, 4041, 1998, 1996, 2245, 6194, 1010, 2021, 2013, 2051, 2000, 2051, 2004, 1037, 5239, 2266, 1010, 4311, 2020, 2081, 1998, 1996, 2048, 4073, 1997, 2026, 8646, 2000, 2031, 2032, 2207, 18462, 2135, 2020, 6936, 2012, 5239, 2504, 1012, 2045, 2001, 1996, 6061, 1997, 8287, 2046, 1996, 9099, 29501, 1010, 2073, 2002, 2001, 2141, 1010, 2073, 2002, 3473, 2039, 1010, 1998, 2029, 2013, 2148, 3088, 1005, 1055, 2391, 1997, 3193, 1010, 2001, 1037, 6135, 2981, 2110, 1012, 2002, 5837, 2008, 1012, 2045, 2001, 1996, 6061, 1997, 2010, 2108, 2207, 18462, 2135, 1010, 1999, 1996, 3168, 2008, 2002, 2323, 3696, 3056, 18457, 2015, 1998, 2128, 4115, 15549, 4095, 1010, 2004, 1037, 2711, 1010, 1037, 8426, 2000, 1996, 4273, 5998, 1010, 2029, 2002, 4188, 2000, 2079, 1012, 2009, 2001, 3352, 3154, 2008, 1996, 4945, 1997, 2216, 2048, 8146, 2038, 2419, 2149, 2000, 1037, 2391, 2073, 2057, 2020, 2471, 2012, 1037, 2757, 1011, 2203, 1012, 1045, 2001, 2025, 2112, 1997, 1996, 2369, 1996, 5019, 10287, 1010, 1998, 1045, 2001, 2025, 4766, 2098, 2055, 2009, 1999, 1996, 2927, 1997, 2008, 2832, 1012, 2043, 1045, 2150, 3003, 1997, 1996, 2283, 1010, 2021, 2025, 2343, 1010, 2006, 1996, 3416, 1997, 2337, 1005, 6486, 1010, 1045, 2001, 3202, 3929, 4766, 2098, 2011, 2720, 1012, 12849, 11283, 24873, 3215, 4402, 1010, 2040, 2001, 2704, 1997, 3425, 1010, 1998, 2013, 2045, 9921, 1010, 1045, 2001, 3929, 2112, 1997, 1996, 2878, 2832, 1012, 1045, 2354, 2055, 1996, 3116, 2029, 2002, 2052, 2031, 2007, 1052, 1012, 1059, 1012, 2119, 2050, 2074, 2077, 2119, 2050, 1005, 1055, 5075, 1012, 2009, 2018, 2026, 6226, 1010, 1998, 2013, 1996, 2927, 1999, 2026, 3653, 1011, 4041, 1010, 2005, 2026, 8798, 1010, 2010, 2713, 1010, 11211, 2007, 1996, 2713, 1997, 1996, 2060, 5895, 1010, 2001, 2200, 2152, 2006, 1996, 11376, 1012, 2028, 1997, 1996, 2034, 2477, 1045, 2106, 2044, 1996, 2602, 1999, 2244, 2960, 1010, 2001, 2000, 2713, 1037, 2152, 6337, 2177, 1997, 2280, 26211, 2368, 2479, 5895, 1012, 1012, 1012, 1012, 2017, 2360, 1999, 2115, 2338, 2008, 2043, 12849, 11283, 24873, 3215, 4402, 2106, 2425, 2017, 2055, 2122, 7566, 1012, 1012, 1012, 2017, 4694, 1005, 1056, 4187, 1010, 2021, 2017, 2020, 4527, 1012, 1012, 1012, 2092, 1010, 1045, 2812, 4527, 1999, 1996, 3168, 2008, 1045, 4033, 1005, 1056, 2042, 6727, 1010, 1998, 1999, 15549, 28032, 3512, 1998, 4527, 2138, 2107, 1037, 2152, 6337, 2711, 2052, 1010, 2013, 7173, 1010, 2022, 18875, 1998, 4851, 2870, 2000, 2054, 6698, 2106, 2002, 2031, 1037, 11405, 2000, 2079, 2061, 1012, 2008, 1005, 1055, 2019, 5875, 4323, 1010, 2138, 2009, 2001, 1037, 3160, 2008, 2111, 2006, 2119, 3903, 2020, 4851, 1012, 14855, 1010, 2021, 2065, 1045, 3342, 11178, 1010, 2429, 2000, 1996, 27918, 2015, 1045, 2363, 1010, 1045, 2001, 2409, 2008, 2012, 1037, 2101, 2754, 1010, 2044, 3988, 10287, 1010, 2070, 3513, 2020, 8363, 1998, 2343, 26887, 2001, 3039, 2000, 2031, 8290, 1999, 2344, 2000, 6855, 1037, 11405, 1998, 1999, 2344, 2000, 2562, 2010, 2373, 2918, 6727, 2055, 2054, 2002, 2001, 2725, 1012, 5525, 1010, 1045, 2179, 2008, 11701, 1010, 2138, 2017, 3685, 2074, 3066, 2007, 2019, 3265, 2302, 1037, 11405, 1012, 2009, 2052, 2031, 3132, 12637, 1010, 6168, 2071, 2002, 7919, 16714, 1010, 2009, 2052, 2031, 2018, 2172, 2062, 2350, 13494, 1998, 2009, 2218, 2172, 2062, 4872, 1012, 1012, 1012, 1012, 2077, 2017, 2468, 2110, 2343, 2101, 2008, 2095, 1010, 2054, 1010, 1999, 2115, 3193, 1010, 2001, 1996, 11376, 2013, 1996, 2231, 2217, 1997, 2216, 7566, 1029, 2054, 2001, 1996, 2231, 2667, 2000, 6162, 2039, 6229, 2059, 1029, 1996, 2231, 2001, 2667, 2000, 2203, 1996, 4736, 1010, 1996, 6355, 4736, 1012, 2009, 2442, 2022, 4622, 1011, 1011, 1998, 1045, 2031, 2042, 2112, 1997, 1996, 2832, 1011, 1011, 2008, 2525, 1999, 1005, 6564, 1010, 1996, 2231, 2018, 3970, 1037, 2047, 4432, 1010, 2018, 4704, 1996, 3343, 1997, 17862, 2030, 3584, 2458, 1010, 1998, 3970, 1037, 2047, 4432, 1997, 2028, 2142, 2148, 3088, 1010, 2007, 2028, 2711, 2028, 3789, 1010, 2007, 2035, 3596, 1997, 9147, 2000, 2022, 14553, 2013, 1996, 11671, 2338, 1012, 2057, 2020, 2525, 1999, 1996, 2832, 1997, 15121, 4691, 5606, 1997, 17862, 4277, 1012, 2061, 2054, 1996, 2019, 2278, 2359, 1010, 1996, 2231, 1998, 1996, 2120, 2283, 2018, 2525, 2787, 1999, 6958, 2027, 2323, 2031, 1010, 3024, 2008, 2057, 2071, 13676, 1037, 6543, 2291, 1010, 2029, 2052, 2765, 1999, 9379, 6653, 1010, 1998, 2029, 2052, 2765, 1999, 1996, 4621, 3860, 1997, 2256, 2116, 3451, 14302, 1012, 1999, 2008, 3168, 1997, 1996, 2773, 1010, 3568, 1010, 2009, 2074, 2081, 2691, 3168, 2005, 1996, 2231, 2000, 2360, 2057, 2031, 2023, 2047, 4432, 1010, 2009, 2038, 2716, 2242, 2047, 2046, 1996, 4736, 1010, 1998, 2003, 2036, 11211, 2007, 2008, 1996, 12393, 2008, 2023, 2828, 1997, 4736, 2428, 2064, 2022, 10866, 1998, 2064, 2074, 9686, 25015, 2618, 1012, 2008, 2045, 3475, 1005, 1056, 2428, 1037, 5576, 2083, 1996, 8460, 1997, 1037, 3282, 2030, 2083, 2510, 3136, 1010, 2030, 3649, 1010, 2005, 2023, 2828, 1997, 4736, 1012, 2009, 2003, 13800, 2008, 1999, 1996, 2558, 2044, 1996, 2120, 2283, 2787, 2000, 2941, 5138, 2023, 2047, 4432, 1010, 2008, 2009, 2001, 2059, 2008, 1996, 2019, 2278, 3706, 2039, 2037, 6355, 28644, 1010, 1998, 2009, 2001, 2059, 2008, 2027, 2036, 2787, 2000, 4539, 6831, 7889, 1012, 1012, 1012, 1045, 7868, 2008, 2077, 2017, 2777, 2032, 1012, 1012, 1012, 2045, 2442, 2031, 2042, 27918, 2015, 1998, 2592, 2800, 2006, 26887, 1012, 1012, 1012, 2079, 2017, 3342, 2505, 2055, 2054, 2115, 7667, 2001, 1010, 2241, 2006, 1996, 2592, 2017, 2018, 2800, 1012, 1996, 27918, 2015, 5525, 2234, 2013, 2111, 2040, 2020, 1999, 2485, 8290, 2007, 2032, 2059, 2005, 2070, 2051, 1012, 2061, 1996, 2111, 2369, 1996, 27918, 2015, 2020, 2111, 2066, 12849, 11283, 24873, 3215, 4402, 1010, 2066, 9152, 2884, 22266, 1010, 2066, 9893, 18811, 3366, 1010, 2066, 5470, 2666, 3158, 4315, 21442, 8545, 1012, 1996, 3861, 2027, 4993, 2000, 2033, 2001, 1037, 3893, 3861, 1997, 1037, 1012, 2158, 2007, 11109, 1010, 1997, 2019, 8052, 2711, 1010, 1997, 1037, 3811, 9414, 2711, 1012, 1999, 2008, 3168, 1010, 2009, 2992, 1999, 2033, 1996, 10908, 2008, 1045, 2052, 2022, 7149, 2007, 1037, 3003, 1997, 21120, 1012, 2017, 2071, 5674, 2178, 2799, 1010, 2008, 1996, 2364, 2965, 1997, 5026, 1996, 4243, 2362, 2052, 2031, 2042, 2007, 1996, 4722, 2576, 4177, 1010, 2040, 2020, 2019, 2278, 13115, 1010, 2030, 1996, 6327, 4177, 1012, 2020, 2045, 3327, 6666, 1999, 2009, 2108, 26887, 2738, 2084, 2216, 2111, 1029, 2092, 1010, 26887, 1005, 1055, 3061, 1999, 1996, 2019, 2278, 2001, 3458, 6685, 1012, 2009, 2001, 3154, 2008, 2036, 2306, 1996, 2019, 2278, 2002, 2001, 5240, 2004, 1037, 3275, 1997, 2307, 12144, 1010, 2004, 1037, 3145, 2711, 1012, 1999, 2008, 3168, 1997, 1996, 2773, 1010, 1045, 2134, 1005, 1056, 2377, 2125, 1999, 2026, 2568, 26887, 25292, 1011, 1037, 1011, 25292, 1996, 2142, 3537, 2392, 2111, 1012, 2012, 2035, 2335, 1010, 1045, 3373, 2008, 2045, 2001, 3243, 2485, 8290, 2090, 1996, 7917, 2019, 2278, 1998, 1996, 2392, 4411, 3161, 1999, 2148, 3088, 1999, 1996, 3119, 2586, 2492, 1010, 1998, 1999, 2060, 2942, 4411, 1012, 2292, 1005, 1055, 2175, 2067, 2000, 2115, 4613, 1010, 2029, 2001, 2012, 1996, 2051, 2043, 2017, 2275, 2041, 2115, 11376, 1010, 2044, 2383, 2042, 2700, 1012, 2054, 2001, 2115, 3125, 1999, 8287, 26887, 1029, 2092, 1010, 2009, 7130, 2046, 1037, 12368, 3861, 1997, 1996, 2713, 1997, 2122, 5895, 1010, 1997, 2635, 2019, 6349, 2000, 3443, 2019, 7224, 2029, 2052, 2022, 9530, 8566, 6895, 3726, 2875, 19905, 1010, 1998, 2013, 2029, 2071, 4834, 1996, 2203, 1997, 2054, 1045, 2428, 5240, 2004, 14203, 2506, 4736, 1012, 2138, 1997, 2023, 3343, 2689, 2029, 1996, 2120, 2283, 2038, 2525, 2081, 2093, 2086, 2077, 2008, 1012, 2061, 1999, 1037, 3168, 1010, 1996, 2713, 1997, 2343, 26887, 2057, 2354, 2013, 1037, 2739, 13966, 2391, 1997, 3193, 1010, 2013, 1996, 2391, 1997, 3193, 1997, 2088, 3086, 1010, 2001, 1996, 10232, 2518, 1010, 2021, 2012, 2035, 2335, 1010, 1045, 2246, 2012, 1996, 12368, 3861, 1997, 2061, 2116, 2060, 2590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 2087, 25198, 1010, 15703, 2518, 2055, 1996, 4500, 3348, 2003, 2008, 2027, 1005, 2128, 2025, 2017, 1012, 2339, 2064, 1005, 1056, 2017, 2074, 3113, 2115, 6635, 24473, 1517, 3272, 2005, 3348, 1029, 2017, 1005, 1040, 2022, 1037, 3819, 2674, 1012, 15798, 1010, 2671, 4349, 6083, 1017, 3971, 2009, 2071, 4148, 1012, 2023, 2038, 2042, 1996, 3959, 1997, 2671, 1011, 4349, 4599, 1998, 2671, 1011, 4349, 6048, 2144, 1996, 2420, 1997, 1000, 17598, 1997, 2026, 2219, 1000, 1006, 2029, 2003, 2788, 7108, 2000, 7527, 2004, 25299, 1010, 2021, 2040, 4282, 2065, 2009, 1005, 1055, 2941, 2011, 2032, 1029, 1007, 1000, 17598, 1997, 2026, 2219, 1000, 3632, 1024, 2821, 1010, 2507, 2033, 1037, 17598, 1997, 2026, 2219, 5771, 1998, 5923, 2007, 2049, 1061, 16706, 2904, 2000, 1060, 1012, 1998, 2044, 2009, 1005, 1055, 4961, 1010, 2059, 2026, 2219, 2210, 17598, 2097, 2022, 1997, 1996, 4500, 3348, 1012, 17598, 1010, 17598, 1997, 2026, 2219, 1010, 2007, 2049, 1061, 16706, 2904, 2000, 1060, 1012, 1998, 2043, 1045, 1005, 1049, 2894, 2007, 2026, 2219, 2210, 17598, 2057, 2097, 2119, 2228, 1997, 2498, 2021, 3348, 1012, 2045, 2024, 2055, 2756, 6431, 2062, 1010, 2021, 2017, 2131, 1996, 2801, 1012, 2941, 1010, 2044, 3752, 6048, 2066, 2198, 13075, 3051, 1998, 20449, 1047, 1012, 3393, 26458, 2078, 1010, 1996, 2878, 2801, 1997, 1996, 1000, 4500, 1000, 3348, 2038, 2042, 6908, 2046, 3160, 1517, 7543, 1010, 2320, 2057, 2064, 2035, 28667, 2239, 8873, 27390, 2063, 2256, 4230, 2012, 2097, 1010, 2776, 2057, 1005, 2222, 2031, 2070, 4066, 1997, 3348, 15540, 6906, 6593, 1012, 2021, 2005, 2085, 1010, 2182, 2024, 1996, 3971, 2008, 2671, 4349, 4107, 1010, 2005, 2149, 2000, 3113, 2256, 4500, 1011, 3348, 24473, 2015, 1006, 1998, 1999, 2070, 3572, 1010, 2031, 3348, 2007, 2068, 1007, 1024, 2160, 1997, 19352, 2011, 21862, 9153, 4313, 9579, 1024, 15983, 8991, 10772, 1010, 1037, 7272, 2450, 1010, 7288, 2000, 8849, 1996, 6565, 2791, 1997, 1996, 3340, 1517, 2016, 2016, 2038, 2841, 17598, 2094, 1037, 2193, 1997, 2335, 1010, 1998, 2070, 1997, 1996, 24418, 2024, 3287, 2096, 2500, 2024, 2931, 1012, 2027, 2035, 3745, 15983, 1005, 1055, 5758, 1010, 1998, 15983, 2841, 9794, 2068, 2302, 4209, 2029, 1997, 2068, 2003, 1996, 1000, 2613, 1000, 2014, 1012, 1998, 2122, 1000, 27271, 11227, 1000, 2031, 3348, 1517, 1037, 2843, 1012, 2926, 1999, 1996, 20674, 4595, 2705, 2305, 1010, 2045, 2024, 6197, 1997, 8917, 3111, 1999, 2029, 2035, 1997, 1996, 24418, 2131, 2362, 1010, 2437, 2009, 1037, 15855, 2008, 1996, 1000, 2613, 1000, 15983, 2038, 2042, 2007, 2014, 24418, 1012, 2051, 2438, 2005, 2293, 2011, 2728, 1037, 1012, 2002, 2378, 19856, 1024, 23623, 2146, 2003, 1996, 2088, 1005, 1055, 4587, 2529, 1010, 1998, 2002, 7288, 2025, 2000, 13595, 2128, 9103, 8159, 3370, 7242, 1010, 2947, 23280, 2370, 2000, 2331, 1012, 2010, 8481, 8054, 2032, 2000, 2562, 2006, 2542, 1010, 2021, 2002, 1005, 2222, 2069, 2079, 2009, 2065, 2002, 4152, 2000, 2031, 1037, 2047, 3325, 1517, 2061, 2048, 1997, 2010, 8481, 2468, 17727, 2890, 16989, 3064, 2007, 4500, 1011, 3348, 24418, 1997, 23623, 1012, 1998, 2044, 1996, 4500, 1011, 3348, 24418, 1997, 23623, 2024, 2141, 1010, 23623, 13275, 2068, 2004, 2010, 2219, 5727, 1012, 1012, 1012, 1998, 2059, 2038, 3348, 2007, 2068, 1010, 1997, 2607, 1012, 1000, 3157, 3268, 1000, 2011, 20449, 1047, 1012, 3393, 26458, 2078, 1024, 2023, 25677, 1011, 4222, 3117, 7585, 1010, 2034, 2405, 1999, 18286, 1010, 2838, 1037, 2275, 1997, 24418, 1997, 1037, 2158, 2315, 2198, 20209, 2040, 2351, 1999, 1037, 2482, 4926, 1010, 1998, 2070, 1997, 2068, 2024, 2931, 1024, 1000, 2035, 11772, 2125, 1996, 2214, 3796, 1010, 1000, 3235, 2056, 24329, 2135, 1012, 1000, 2021, 2129, 2064, 1012, 1012, 1012, 2070, 1997, 2017, 2022, 2308, 1012, 1012, 1012, 1029, 1000, 7014, 2165, 2058, 1024, 1000, 2009, 1005, 1055, 3733, 2000, 2565, 2431, 1996, 18856, 16026, 3742, 2067, 2000, 1996, 2931, 1012, 2074, 3972, 12870, 1996, 3287, 4962, 2013, 2431, 1996, 4442, 1998, 2027, 7065, 8743, 2000, 1996, 3937, 1010, 2008, 2003, 1010, 1996, 2931, 1012, 2009, 1005, 1055, 7577, 3771, 2000, 2175, 1996, 2060, 2126, 1010, 2031, 2000, 8103, 1999, 7976, 1061, 26874, 1012, 2061, 2027, 3262, 17598, 2013, 3767, 1010, 2144, 24418, 3853, 2190, 22437, 2135, 1012, 1000, 13718, 1010, 3157, 2041, 1997, 2702, 24418, 2024, 2730, 1010, 6932, 1996, 3588, 17598, 2000, 3066, 2007, 14477, 27631, 20389, 2098, 22560, 1012, 1996, 6728, 4048, 15217, 2980, 4179, 2011, 2198, 13075, 3051, 1024, 1996, 2839, 26922, 2038, 24418, 2040, 2024, 3287, 1998, 2931, 24418, 1997, 1996, 2168, 3265, 1010, 2170, 12436, 20961, 2030, 2823, 1044, 2100, 3351, 2401, 1012, 2027, 1005, 2128, 3565, 1011, 2844, 1010, 3565, 1011, 2502, 1998, 12765, 1012, 6396, 2595, 1998, 2536, 2060, 1060, 1011, 2273, 5888, 1024, 1060, 1011, 2603, 1010, 1037, 2931, 17598, 1997, 22162, 1010, 2034, 2596, 1999, 1996, 1060, 1011, 2273, 1024, 6622, 6579, 2186, 1010, 2021, 2059, 2081, 1996, 11679, 2000, 5888, 1010, 2074, 2066, 13653, 8804, 1012, 2750, 2559, 2785, 1997, 10021, 1010, 2016, 1005, 1055, 6133, 2000, 6293, 2105, 2146, 2438, 2000, 2131, 2014, 2219, 13612, 1998, 2031, 2014, 10457, 7062, 4541, 1012, 1045, 2123, 1005, 1056, 2228, 2016, 1998, 6307, 2412, 13322, 2039, 1010, 2021, 2027, 2031, 4061, 1010, 2029, 2003, 2471, 1996, 2168, 2518, 2043, 2017, 2272, 2091, 2000, 2009, 1012, 1996, 27738, 4048, 5484, 1005, 1055, 5009, 2000, 1996, 9088, 1024, 2004, 23564, 8458, 7716, 10506, 3468, 12618, 2595, 7607, 1010, 1996, 2611, 11409, 28345, 2050, 1000, 2038, 2085, 2042, 17598, 2094, 2058, 2274, 1011, 3634, 1011, 1998, 1011, 10920, 1011, 2809, 1011, 4595, 1011, 2454, 2335, 1011, 1998, 2038, 2947, 2580, 1037, 3291, 1999, 2070, 7728, 1012, 1000, 2035, 1997, 1996, 11409, 28345, 2050, 24418, 2024, 2931, 1517, 2021, 1996, 3424, 1011, 24418, 1010, 2741, 2000, 2131, 9436, 1997, 1996, 1999, 14081, 3370, 1997, 2931, 24418, 1010, 2024, 3287, 4617, 1997, 11409, 28345, 2050, 2170, 2035, 4183, 3490, 2140, 1012, 2043, 1037, 11409, 28345, 2050, 1998, 2019, 2035, 4183, 3490, 2140, 2272, 2362, 1010, 2002, 4152, 1996, 11409, 28345, 2050, 2000, 1000, 5993, 2000, 13236, 2000, 2022, 1000, 1517, 2021, 4300, 21418, 3138, 1037, 16663, 2000, 2028, 1997, 1996, 11409, 28345, 3022, 1010, 1998, 8563, 2014, 3327, 2035, 4183, 3490, 2140, 1012, 14682, 2011, 2508, 5070, 11764, 1024, 3487, 2259, 2003, 2019, 6206, 17598, 1997, 2028, 1997, 1996, 5902, 2015, 2006, 1996, 2152, 2473, 1010, 1998, 2349, 2000, 7403, 3471, 2002, 1005, 1055, 1037, 2978, 5236, 1012, 2021, 1037, 2931, 17598, 1997, 1996, 5902, 1010, 2315, 11415, 1010, 4332, 2041, 3565, 1011, 6047, 1998, 7692, 3993, 1012, 2362, 1010, 3487, 1998, 11415, 3604, 1010, 2004, 2567, 1998, 2905, 1010, 3604, 2000, 1996, 4774, 9553, 2368, 2000, 3046, 1998, 13676, 1037, 3521, 2090, 2048, 7344, 2427, 1010, 1996, 2158, 8883, 11650, 1998, 1996, 6904, 4757, 14270, 7747, 1012, 7648, 1998, 2010, 3507, 12436, 2102, 1011, 3336, 12245, 2072, 4995, 1005, 1056, 9975, 4092, 24418, 1010, 2138, 1045, 2228, 2027, 2018, 2367, 7403, 4518, 1517, 2004, 2521, 2004, 1045, 2064, 3342, 1010, 7648, 2234, 2013, 4205, 1998, 12245, 2072, 2234, 2013, 4532, 1012, 2021, 2027, 2079, 2272, 2013, 1996, 2168, 12436, 2102, 1010, 1998, 2027, 4504, 2013, 1996, 2168, 3565, 1011, 3336, 2565, 1012, 2061, 2027, 2071, 2022, 2641, 17793, 2000, 24418, 1010, 4066, 1997, 1012, 4276, 18625, 1010, 4312, 1012, 7209, 6804, 1011, 2158, 1024, 7209, 17598, 12312, 1024, 2064, 1005, 1056, 2903, 1045, 9471, 2023, 2028, 1010, 2144, 1045, 2031, 1996, 14279, 2012, 2188, 1012, 1999, 1996, 7209, 2544, 1997, 1996, 17598, 12312, 1010, 2027, 17598, 2848, 6262, 2195, 2335, 1012, 1012, 1012, 2164, 1037, 2931, 2544, 2170, 8201, 3881, 1012, 1998, 8201, 2038, 2035, 1997, 2848, 1005, 1055, 5758, 1517, 1055, 1012, 1044, 1012, 1045, 1012, 1041, 1012, 1048, 1012, 1040, 1012, 4122, 2000, 22505, 8201, 1005, 1055, 5758, 1998, 2275, 2014, 2039, 2007, 1037, 2047, 4767, 1010, 2021, 2016, 12976, 1998, 3138, 2006, 1996, 4767, 1997, 6804, 1011, 2450, 1012, 4283, 1010, 6448, 11624, 4904, 25091, 999, 1016, 1007, 6585, 5304, 2015, 5903, 15909, 3111, 2011, 5070, 4670, 6469, 1024, 4098, 1010, 1996, 2364, 2839, 1997, 2023, 3117, 7930, 2083, 1996, 4800, 16070, 1010, 1998, 2633, 6010, 2019, 6585, 2931, 2544, 1997, 2370, 1517, 1998, 2038, 3348, 2007, 2014, 1012, 2101, 1010, 2002, 9020, 2000, 2424, 2019, 2972, 4774, 10357, 2011, 4809, 1997, 2370, 1012, 2004, 1996, 2067, 3104, 6100, 7607, 1024, 2085, 4098, 2001, 2439, 1999, 1037, 7484, 2712, 1997, 24172, 8484, 1010, 26964, 2158, 1011, 5983, 12114, 1010, 18148, 1010, 3331, 17582, 1010, 2757, 4098, 2229, 1010, 2611, 4098, 2229, 1010, 2214, 4098, 2229, 1010, 2130, 5745, 4098, 2229, 1012, 2010, 2069, 3382, 2000, 4019, 1996, 2686, 1011, 2051, 22961, 2001, 2000, 2424, 8945, 4244, 1998, 3246, 1996, 8840, 16585, 11067, 2071, 5343, 2032, 1012, 2021, 2129, 2071, 2002, 2022, 2469, 2029, 2088, 2001, 2613, 1010, 2029, 4098, 2001, 4098, 1010, 1998, 2029, 8945, 4244, 2001, 1996, 8945, 4244, 2040, 2071, 2644, 1996, 12013, 1517, 2030, 8132, 4098, 1999, 1996, 3308, 2088, 5091, 1012, 1012, 1012, 1029, 2417, 11229, 1010, 1000, 5903, 5304, 1000, 1024, 2256, 6080, 4858, 1037, 5080, 2008, 1005, 1055, 4011, 2000, 3665, 2068, 2188, 2000, 3011, 6880, 1517, 2021, 2612, 2009, 23564, 4523, 2068, 2046, 2019, 6585, 5304, 1012, 2045, 1010, 2027, 3113, 6585, 4617, 1997, 3209, 1010, 2164, 2931, 4617, 1997, 27177, 1998, 11418, 5017, 1006, 1998, 4937, 1005, 1055, 13637, 2003, 1037, 3899, 1012, 1007, 11418, 5017, 2038, 2000, 2954, 2125, 2010, 2931, 13637, 1005, 1055, 4424, 9849, 1010, 2096, 27177, 2941, 2515, 3612, 2039, 1999, 2793, 2007, 2010, 2931, 2544, 1010, 2139, 2497, 1012, 1998, 2138, 1999, 2023, 6585, 5304, 1010, 2009, 1005, 1055, 1996, 2273, 2040, 2131, 6875, 1010, 27177, 7266, 2039, 4755, 2010, 6585, 2969, 1005, 1055, 3336, 1012, 4283, 2000, 8418, 17119, 2005, 7302, 2041, 2023, 2028, 1024, 1999, 1996, 2792, 1000, 3313, 2892, 1010, 1000, 8804, 6010, 2019, 4763, 2931, 24473, 1997, 2370, 2013, 1006, 1997, 2607, 1007, 2178, 5304, 1010, 1998, 2471, 3084, 2041, 2007, 2014, 1024, 6653, 2011, 24486, 5085, 1024, 2023, 9812, 1011, 8660, 3117, 9704, 2008, 2009, 1005, 1055, 3243, 2691, 2000, 4607, 1996, 2303, 1997, 2115, 6585, 1011, 5304, 2969, 1998, 2424, 2008, 1996, 6585, 2969, 2003, 1996, 4500, 3348, 1012, 2023, 2003, 1037, 2124, 8715, 1010, 2029, 5320, 2070, 17964, 2030, 6724, 2426, 1996, 5304, 1011, 20517, 2015, 3183, 2009, 6433, 2000, 1012, 1017, 1007, 2051, 3604, 1000, 2035, 2017, 14106, 1000, 2011, 2728, 1037, 1012, 2002, 2378, 19856, 1024, 2023, 2466, 2838, 1037, 2402, 2158, 2040, 1005, 1055, 24929, 2046, 17727, 2890, 16989, 3436, 2010, 3920, 1010, 2931, 2969, 1517, 2138, 2009, 4332, 2041, 2002, 2018, 1037, 28971, 3348, 2689, 2012, 2070, 2391, 1010, 2029, 1996, 8068, 2987, 1005, 1056, 5382, 2012, 2034, 1012, 1998, 2059, 2009, 4332, 2041, 2008, 2002, 1005, 1055, 2941, 1996, 2775, 1997, 2008, 2586, 1010, 3574, 2008, 2002, 1005, 1055, 2010, 2219, 2388, 1998, 2269, 1517, 1996, 2388, 1997, 2035, 2051, 20506, 2229, 1010, 1999, 2060, 2616, 1012, 1996, 2158, 2040, 6999, 2370, 2011, 2585, 16216, 18933, 6392, 1024, 3817, 19413, 14322, 7930, 11043, 1998, 19390, 1999, 2051, 2116, 2335, 1010, 3116, 2370, 1998, 2383, 3348, 2007, 2370, 1517, 2058, 1998, 2058, 1998, 2058, 1012, 2021, 2044, 1037, 10228, 1997, 9109, 1010, 2002, 2941, 6010, 2019, 6585, 1011, 5304, 2544, 1997, 2370, 2040, 2001, 2141, 2931, 1010, 1998, 2027, 22200, 2039, 2362, 2012, 1996, 2927, 1997, 2051, 1012, 2009, 3632, 2307, 2005, 1037, 2096, 1010, 2127, 2027, 2131, 7349, 2039, 2007, 2169, 2060, 1010, 1998, 2059, 3817, 1005, 1055, 2051, 1011, 7118, 2931, 13637, 9020, 2000, 22505, 2841, 3294, 2013, 3817, 1005, 1055, 17060, 1010, 2061, 3817, 2064, 2196, 2424, 2014, 2153, 1012, 17044, 2015, 2000, 2360, 1010, 2023, 2695, 2052, 2025, 2031, 2042, 3053, 2004, 17160, 2302, 2694, 13181, 10374, 1012, 8917, 1010, 1996, 9545, 1997, 2035, 2307, 2791, 1012, 3176, 7316, 2011, 6498, 1039, 1012, 17840, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1006, 2006, 24086, 27551, 5231, 1999, 2236, 1007, 19246, 2155, 1024, 7508, 3078, 19246, 2653, 1024, 7508, 18414, 14615, 7476, 3570, 1024, 12626, 2389, 15796, 2313, 1024, 4873, 2090, 5174, 1010, 2199, 1998, 5385, 1010, 2199, 1025, 6635, 3616, 2024, 3697, 2000, 6162, 2138, 1996, 2313, 1997, 7508, 10774, 2003, 2200, 7932, 1012, 4766, 2381, 1024, 2429, 2000, 2146, 24911, 4535, 1010, 1996, 2034, 5231, 1999, 10110, 2020, 2631, 2011, 1996, 19178, 2358, 1012, 19866, 1998, 2358, 1012, 22794, 14141, 10600, 1012, 2004, 1996, 2277, 3473, 1010, 2009, 9601, 2195, 14522, 2015, 2127, 1996, 2307, 2358, 1012, 7296, 1996, 5665, 12717, 27413, 4991, 2332, 14841, 14615, 8520, 3523, 1025, 1999, 19123, 1010, 14841, 14615, 8520, 10116, 7988, 1996, 2880, 4676, 1997, 10110, 1010, 2437, 10110, 1996, 2034, 3985, 3017, 3842, 1999, 1996, 2088, 1012, 1996, 4054, 3387, 1997, 1996, 3842, 2150, 2124, 2004, 1996, 3234, 2891, 1012, 7508, 8414, 4194, 1999, 1996, 2034, 2473, 1997, 27969, 21996, 1998, 1996, 2034, 2473, 1997, 11776, 1025, 3904, 4194, 1999, 1996, 2473, 1997, 4958, 15689, 2271, 1010, 2021, 2008, 2473, 1005, 1055, 6567, 2020, 3970, 2011, 1996, 7508, 12571, 1012, 2162, 2007, 1996, 27229, 10655, 8729, 2151, 7508, 8414, 2013, 8019, 1999, 1996, 2473, 1997, 15775, 23314, 5280, 1012, 9979, 1997, 15775, 23314, 5280, 2357, 2041, 2025, 2000, 2022, 3243, 2061, 3722, 1025, 1996, 20337, 2020, 4876, 4198, 2000, 8414, 1999, 1996, 3142, 3400, 2040, 2020, 18847, 21281, 28032, 2229, 1010, 1998, 3711, 2000, 2031, 19768, 1996, 3750, 16729, 2080, 1005, 1055, 21863, 4140, 12676, 2078, 1010, 2019, 7736, 3535, 2000, 21063, 1996, 2048, 3903, 1997, 1996, 7593, 1012, 2012, 1996, 2117, 2473, 1997, 1040, 6371, 1999, 29541, 1010, 1996, 20337, 4025, 2000, 2031, 3714, 15661, 2007, 1996, 15775, 23314, 5280, 2937, 12571, 1999, 1996, 3142, 3400, 1012, 1996, 2895, 3849, 2000, 2031, 2042, 4469, 8551, 3981, 11272, 6801, 1999, 10110, 2993, 1025, 2195, 7508, 5231, 4188, 2000, 5138, 1996, 3247, 1010, 2164, 1996, 2738, 2590, 5231, 1997, 4108, 1998, 1997, 1996, 2632, 13860, 2015, 1012, 1996, 2765, 2003, 2008, 7508, 3017, 2381, 7336, 1037, 2200, 4326, 19857, 6593, 14505, 2005, 1996, 2279, 2195, 4693, 1010, 1999, 2029, 2009, 2003, 3697, 2000, 2147, 2041, 2043, 1996, 20337, 1010, 1998, 2029, 20337, 1010, 2064, 2022, 2641, 1999, 15661, 2007, 4199, 1998, 2047, 4199, 1012, 1996, 3424, 1011, 15775, 23314, 5280, 2937, 2283, 3849, 2000, 2031, 4321, 3266, 2000, 2562, 1037, 2907, 1997, 1996, 2087, 2590, 5927, 1010, 2021, 2045, 3849, 2471, 2467, 2000, 2031, 2042, 2012, 2560, 2070, 7508, 8414, 2040, 2020, 2941, 1999, 15661, 2007, 11776, 2030, 4199, 1012, 1999, 1996, 2397, 4369, 2301, 1010, 2005, 6013, 1010, 1996, 7508, 2277, 2001, 2993, 3714, 2011, 8040, 23108, 2005, 1037, 2096, 2043, 2048, 2367, 3234, 10448, 2020, 2700, 2011, 1996, 3424, 1011, 15775, 23314, 5280, 2937, 1998, 1996, 15775, 23314, 5280, 2937, 4243, 1010, 1998, 1996, 9166, 2277, 3432, 3631, 2125, 4498, 1012, 1999, 2804, 1010, 2045, 2024, 2195, 12107, 1999, 2029, 1996, 2364, 8260, 1997, 1996, 7508, 2277, 11653, 2007, 11776, 1010, 2069, 2000, 2203, 2039, 4911, 2125, 2153, 2043, 2576, 13136, 3445, 2030, 1037, 2047, 3234, 2891, 2001, 2700, 1012, 2045, 2024, 2060, 3572, 1010, 2066, 2008, 1997, 1996, 2307, 11265, 22573, 2015, 14021, 12131, 8865, 2072, 1010, 1999, 2029, 1996, 3234, 2891, 4415, 2081, 1037, 2204, 1011, 4752, 3535, 2012, 10301, 2021, 2001, 3249, 2011, 8734, 4331, 1011, 1011, 1999, 11265, 22573, 2015, 14021, 12131, 8865, 2072, 1005, 1055, 2553, 2011, 4461, 7670, 2002, 2106, 2025, 7634, 2370, 2004, 2383, 1996, 3691, 2000, 3946, 1012, 2058, 2051, 20337, 13447, 2013, 3618, 10110, 2046, 23747, 1998, 25022, 10415, 2401, 1010, 2029, 2150, 2124, 2004, 8276, 10110, 1025, 2007, 1996, 23536, 1997, 1996, 7367, 2140, 9103, 2243, 12896, 1010, 8711, 8542, 2046, 25022, 10415, 2937, 10110, 1012, 1996, 2156, 1997, 1996, 3234, 2891, 2001, 2036, 4015, 2000, 25022, 10415, 2401, 1012, 2076, 1996, 16282, 2015, 1010, 2029, 2020, 2927, 2105, 1996, 2168, 2051, 1010, 25022, 10415, 2937, 10110, 2150, 2200, 2485, 1998, 2590, 6956, 1997, 1996, 18831, 1010, 1998, 2947, 1996, 7508, 2277, 2234, 2046, 3180, 3967, 2007, 4199, 1012, 1999, 13285, 2549, 24665, 14031, 2099, 6819, 17928, 8609, 2001, 2700, 3234, 2891, 1999, 25022, 10415, 2401, 1025, 2021, 2010, 2602, 2001, 4941, 1999, 3618, 10110, 1010, 2040, 2700, 2019, 3424, 1011, 3234, 2891, 1012, 1999, 2112, 2138, 1997, 2023, 1010, 7296, 3133, 2046, 15661, 2007, 4199, 1012, 1999, 6742, 3408, 1010, 2023, 3849, 2000, 2031, 2815, 3262, 2012, 1996, 2504, 1997, 1037, 5337, 3012, 1010, 1998, 2200, 2210, 3849, 2000, 2031, 2042, 2589, 2000, 3582, 2083, 2007, 2009, 1010, 2348, 2045, 2020, 8138, 4740, 2006, 2593, 2217, 1012, 10655, 1010, 2044, 1996, 2991, 1997, 25022, 10415, 2401, 2000, 1996, 5003, 19968, 6968, 2015, 1010, 2045, 2001, 2178, 3535, 2012, 10301, 2011, 1996, 2473, 1997, 7701, 1999, 16065, 2683, 1010, 2021, 2498, 2234, 1997, 2023, 2153, 1012, 2477, 2150, 2130, 2062, 8552, 1999, 1996, 14748, 16223, 2043, 1996, 3313, 3234, 8820, 2618, 2764, 1010, 2007, 1037, 1006, 3078, 1007, 3234, 2891, 1999, 4385, 26837, 4215, 17168, 1999, 3618, 10110, 1998, 1037, 1006, 15144, 1007, 3234, 2891, 1999, 24761, 1012, 2069, 1999, 1996, 15425, 1998, 12965, 4693, 2106, 2505, 4088, 2000, 2272, 2362, 3929, 1010, 2348, 2009, 2323, 2022, 3264, 2008, 2049, 2725, 2061, 17292, 1999, 2112, 2006, 1996, 7705, 2015, 2008, 2020, 2525, 1999, 2173, 2349, 2000, 1996, 1006, 2116, 1007, 3025, 4740, 2012, 2586, 1012, 2009, 2001, 1037, 8552, 2458, 2174, 1025, 1996, 7508, 3234, 2277, 2004, 2009, 6526, 2651, 10375, 2025, 2041, 1997, 1037, 2309, 2586, 2021, 2041, 1997, 2019, 2972, 2186, 1997, 2235, 1010, 2981, 9209, 2008, 2020, 2059, 10495, 1012, 2019, 2590, 2220, 2350, 3357, 2001, 1996, 4195, 1997, 1996, 24037, 1997, 8499, 1997, 2358, 1012, 7296, 1996, 5665, 12717, 27413, 1999, 1996, 15276, 2301, 1010, 1999, 2029, 2019, 7508, 6408, 1999, 17823, 17322, 6212, 6989, 2993, 2007, 1996, 10104, 2015, 1012, 2023, 10104, 1011, 7508, 12446, 23416, 1010, 2029, 2052, 2468, 1037, 10104, 2874, 1999, 1996, 14683, 2301, 1998, 4839, 2127, 1996, 2220, 9137, 2301, 1010, 2150, 1996, 6534, 2105, 2029, 2116, 7932, 7508, 3234, 4279, 2211, 2000, 4503, 1012, 2178, 2350, 3357, 2001, 2043, 1037, 2235, 2451, 1997, 20337, 2542, 1999, 3735, 1998, 2715, 5924, 2104, 2771, 3683, 22972, 3501, 23790, 6499, 21355, 2142, 2007, 4199, 1999, 1996, 15425, 2301, 1012, 2060, 2235, 4279, 1999, 20816, 1998, 6974, 2628, 4848, 1012, 1996, 2087, 2590, 3357, 1010, 2174, 1010, 2001, 2043, 1037, 2451, 1997, 7508, 10774, 2700, 8181, 1011, 5578, 1045, 12098, 2094, 5831, 18073, 2004, 2037, 2219, 3234, 2891, 1997, 24761, 1012, 12098, 2094, 5831, 18073, 2356, 4199, 2005, 5038, 1010, 1998, 1999, 25704, 1996, 2307, 12122, 15939, 3985, 2719, 1996, 7508, 3234, 2277, 1010, 9530, 19454, 8524, 3436, 12098, 2094, 5831, 18073, 1005, 1055, 8771, 1010, 1996, 3907, 20337, 1999, 15661, 2007, 4199, 1010, 1998, 1996, 2536, 2060, 2235, 2967, 1997, 3234, 20337, 1010, 2046, 2028, 3029, 1012, 2066, 1996, 7508, 2277, 2993, 1010, 1996, 2434, 7508, 3234, 2277, 2018, 1037, 4066, 1997, 7037, 4641, 5605, 1010, 2007, 12098, 2094, 5831, 18073, 2004, 3234, 2891, 1997, 24761, 1998, 2019, 7508, 3234, 6507, 1997, 11776, 2169, 4082, 9174, 1012, 1037, 2350, 3114, 2005, 2023, 7037, 3012, 2001, 1996, 4012, 21557, 2920, 1999, 2551, 2105, 1996, 3412, 4277, 1997, 1996, 6188, 3400, 1012, 2023, 3313, 2277, 2052, 2022, 2062, 3294, 6377, 1999, 7647, 2011, 14363, 11814, 1011, 1011, 2025, 2302, 2070, 7669, 1010, 2144, 1996, 20337, 1999, 1996, 7360, 1997, 11776, 13335, 1996, 2693, 1010, 2750, 1996, 2755, 2008, 2009, 2018, 2042, 8885, 2011, 5599, 1996, 6507, 1997, 11776, 9510, 2000, 1996, 2436, 1012, 2023, 3291, 2052, 2202, 2062, 2084, 1037, 5476, 2000, 2147, 2041, 3294, 1012, 7508, 10774, 17893, 2005, 1037, 2096, 1010, 2021, 2601, 2420, 2020, 2006, 1996, 9154, 1012, 2646, 1996, 2203, 1997, 1996, 9137, 2301, 1010, 2845, 14522, 1997, 7508, 10774, 4078, 19425, 2094, 1996, 19044, 29389, 2008, 2018, 2042, 2580, 2005, 7508, 10774, 1999, 3607, 1012, 2927, 2105, 4936, 1010, 1996, 6188, 3400, 2211, 23087, 28427, 1010, 2139, 6442, 2075, 1010, 1998, 2776, 4288, 20337, 1012, 3383, 2531, 1010, 2199, 7508, 10774, 2351, 1010, 2116, 2500, 2020, 7932, 2046, 1037, 18239, 1010, 1998, 1996, 12571, 1997, 1996, 2277, 2306, 4977, 2001, 2471, 5754, 19190, 11733, 3064, 1012, 2004, 2019, 5057, 5468, 1010, 1996, 3078, 2156, 1997, 1996, 2277, 2001, 2333, 2013, 4977, 2000, 8341, 1010, 2073, 2009, 2145, 2089, 2022, 2179, 1012, 1996, 4125, 1997, 15523, 2036, 2165, 2049, 9565, 1010, 2144, 20337, 2020, 2179, 2802, 1996, 10336, 1997, 3747, 1997, 1996, 3354, 2586, 1010, 1998, 3278, 8810, 1997, 1996, 2277, 2020, 13712, 2127, 1996, 10110, 2150, 1037, 3072, 1999, 2889, 1012, 1996, 7508, 3234, 2277, 2038, 2467, 2042, 1037, 3811, 4706, 2277, 1012, 2028, 1997, 1996, 2350, 11938, 1997, 1996, 19246, 8094, 2003, 4151, 28396, 2154, 1010, 12964, 3002, 7842, 20459, 1998, 3002, 2033, 21338, 16429, 1006, 2040, 5028, 2125, 1037, 9208, 1998, 4706, 3585, 2287, 2011, 4975, 1996, 7508, 12440, 1010, 22969, 1996, 6331, 1998, 3306, 9208, 2573, 2046, 7508, 1010, 1998, 4975, 1037, 8570, 4535, 1007, 1998, 2216, 2040, 2031, 2628, 1999, 2037, 9717, 1012, 1996, 2033, 5428, 7559, 2923, 1010, 1037, 17361, 2344, 2631, 1999, 23841, 1010, 2031, 7422, 3209, 2302, 13236, 2000, 5702, 1010, 15224, 1010, 1998, 4252, 1996, 7508, 4348, 1012, 1996, 3471, 1996, 2277, 2038, 4320, 2058, 1996, 2086, 2031, 9249, 3132, 2049, 3754, 2000, 3582, 2023, 14982, 1997, 2049, 2839, 1010, 2021, 2004, 2477, 2031, 5985, 2039, 1010, 2009, 2038, 5625, 2000, 2128, 27241, 5339, 2993, 2062, 22400, 1012, 2051, 2069, 2097, 2425, 2054, 2097, 2272, 1997, 2009, 1012, 3862, 10490, 1024, 1996, 5040, 1997, 2358, 1012, 12005, 2063, 1998, 2358, 1012, 7296, 1996, 5665, 12717, 27413, 1999, 15335, 1010, 8341, 1025, 1996, 2277, 1997, 2256, 3203, 1997, 1996, 19568, 22753, 1999, 1038, 6844, 14760, 2099, 1010, 8341, 1025, 1996, 2277, 1997, 2624, 17388, 4830, 2000, 16136, 5740, 12943, 3669, 2030, 3775, 16183, 7393, 10772, 2072, 1999, 4199, 1010, 3304, 1012, 3862, 6586, 1024, 2358, 1012, 7296, 1996, 5665, 12717, 27413, 1006, 2244, 2382, 1007, 1025, 2358, 1012, 7842, 20459, 1998, 2358, 1012, 2033, 21338, 16429, 1006, 2337, 2459, 1007, 1025, 2358, 1012, 7296, 1997, 6583, 16816, 1006, 2337, 2676, 1007, 1025, 2358, 1012, 11265, 22573, 2015, 14021, 12131, 8865, 2072, 1006, 2257, 2410, 1007, 1012, 2045, 2024, 2036, 3243, 1037, 2261, 2060, 6586, 2040, 2024, 2025, 2006, 1996, 2236, 8094, 2021, 2024, 2310, 3678, 4383, 2006, 1996, 7508, 3234, 8094, 1010, 2066, 2358, 1012, 11265, 22573, 2015, 1997, 12559, 4948, 1006, 2251, 2459, 1007, 1012, 1999, 2804, 1010, 2045, 2003, 1037, 2312, 4306, 1997, 7508, 18945, 1010, 2119, 1999, 1996, 7508, 14052, 1006, 2066, 1038, 2140, 1012, 26841, 15451, 18232, 2078, 1007, 1998, 2104, 4750, 14522, 1010, 2040, 2089, 2022, 2992, 2000, 1996, 2236, 8094, 2012, 2070, 2391, 1012, 3862, 3412, 12769, 1024, 1996, 2033, 5428, 7559, 5130, 2024, 4469, 8551, 3981, 11272, 2590, 1010, 2025, 2074, 2005, 1996, 7508, 3234, 2277, 1999, 3327, 2021, 2005, 1996, 3234, 2277, 2004, 1037, 2878, 1012, 2045, 2024, 2036, 1996, 12626, 2389, 7769, 1997, 1038, 6844, 14760, 2099, 1010, 1998, 1996, 7508, 5208, 1997, 1996, 19532, 13120, 1012, 6698, 1997, 2880, 7360, 1024, 1996, 12626, 3686, 1997, 25022, 10415, 2401, 1999, 8341, 1025, 2176, 7905, 13699, 2906, 5428, 2229, 1999, 7795, 1010, 5712, 1010, 4977, 1010, 1998, 1996, 5924, 1025, 2416, 19044, 11140, 3111, 1010, 2019, 11815, 4654, 2906, 7507, 2618, 1010, 1998, 2093, 2030, 18979, 4360, 4570, 1010, 2035, 7932, 2105, 1996, 2088, 1012, 1006, 10336, 1997, 3747, 2467, 8908, 3458, 1996, 2880, 7360, 2349, 2000, 2372, 1997, 1996, 2277, 2542, 2648, 1997, 2151, 2880, 7360, 1997, 1996, 2277, 1012, 2023, 2003, 3383, 2926, 2995, 1997, 1996, 20337, 1010, 2040, 2024, 2019, 12890, 15484, 2277, 1012, 1007, 3784, 4216, 1998, 4219, 1024, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1045, 1005, 2310, 2196, 2641, 2870, 2000, 2022, 5637, 1010, 1998, 2130, 2044, 1996, 2824, 2649, 1999, 2023, 6925, 1010, 1045, 2145, 2123, 1005, 1056, 1012, 2021, 1010, 2383, 2056, 2008, 1010, 2045, 1005, 1055, 5791, 2242, 2000, 2022, 2056, 2005, 1996, 2514, 1997, 1037, 3835, 2524, 10338, 999, 2009, 2035, 2318, 2028, 4234, 6574, 1010, 2057, 1006, 2008, 2003, 2870, 1998, 2026, 2388, 1998, 2269, 1007, 2020, 2035, 2012, 2188, 2004, 3671, 2007, 2026, 12455, 7221, 21837, 2033, 2000, 2026, 2282, 2005, 1037, 3232, 1997, 2847, 2000, 10236, 2026, 7534, 1012, 1045, 1005, 1049, 3241, 1010, 1005, 1045, 1005, 1049, 2539, 2005, 4828, 1005, 1055, 8739, 1010, 1045, 1005, 1049, 2205, 2214, 2005, 2008, 4485, 1005, 1010, 2021, 1045, 2815, 4333, 2005, 1037, 2204, 3114, 1012, 1037, 3232, 1997, 2847, 2006, 2026, 2219, 4895, 18447, 2121, 21531, 3064, 1010, 2069, 2028, 2518, 2006, 2026, 2568, 1011, 1037, 2204, 14071, 6834, 5219, 1012, 1045, 2411, 12181, 2125, 2043, 2026, 12455, 2024, 2188, 2021, 2788, 1037, 4248, 4139, 1999, 1996, 5723, 2038, 2000, 2079, 2005, 3891, 1997, 2028, 1997, 2068, 3788, 1999, 1010, 2021, 2182, 1045, 2001, 12361, 2012, 2560, 2019, 3178, 2006, 2026, 2219, 1006, 2030, 2012, 2560, 2008, 1005, 1055, 2054, 1045, 2245, 1007, 1012, 1045, 19379, 26860, 2094, 2105, 2104, 2026, 2793, 2127, 1045, 2179, 2026, 1005, 3482, 1997, 12225, 1005, 1010, 2008, 2003, 1037, 2553, 1997, 2536, 8387, 1045, 2109, 2000, 15429, 3126, 20179, 2007, 1010, 5546, 2070, 6530, 23848, 2015, 1998, 6876, 1010, 2070, 14095, 1010, 1037, 15723, 1997, 2192, 6949, 1045, 18521, 2013, 2026, 2388, 1005, 1055, 19475, 5239, 1998, 1037, 1005, 2569, 8875, 1005, 2029, 2097, 2022, 3936, 2101, 1012, 2302, 18313, 1037, 2117, 1045, 3881, 2026, 5010, 14694, 1998, 1999, 1037, 5956, 2026, 6471, 2020, 2461, 2026, 15392, 1012, 1045, 2018, 2179, 1037, 3861, 1997, 1037, 6638, 2611, 2007, 5294, 25671, 2007, 2070, 5341, 3124, 1005, 1055, 13988, 14309, 2013, 2014, 5413, 1999, 2028, 1997, 2026, 23848, 2015, 1998, 2018, 2855, 2288, 1037, 3835, 5024, 2524, 2239, 1012, 1045, 2855, 2211, 10137, 2012, 2026, 3813, 13760, 16603, 2054, 1996, 3124, 2018, 2042, 2725, 2000, 2008, 6638, 22889, 4904, 1005, 1055, 4954, 22418, 1998, 2001, 2574, 2006, 1996, 16079, 1997, 5008, 2026, 7170, 1012, 1045, 2855, 2357, 1996, 3931, 1997, 1996, 2932, 2000, 1037, 2485, 2039, 1997, 1996, 14684, 14075, 11561, 1005, 1055, 4121, 22017, 5910, 1998, 20322, 10621, 2012, 2026, 10338, 1010, 26386, 1998, 15601, 2004, 1045, 2584, 13892, 1012, 1045, 4711, 2026, 2132, 2067, 14922, 1998, 2026, 2600, 2524, 10338, 16767, 3807, 1999, 2026, 2192, 2077, 11867, 7974, 2075, 1037, 5460, 1997, 4317, 27571, 3240, 7455, 2243, 2408, 1996, 3931, 1012, 1045, 2506, 6501, 2075, 2026, 3730, 7406, 9093, 2893, 2296, 4530, 1997, 13988, 2013, 2026, 5980, 2077, 14612, 1996, 13988, 2013, 1996, 3931, 1998, 4688, 2067, 2006, 1996, 2793, 2000, 2131, 2026, 3052, 2067, 1012, 2096, 1045, 2106, 2061, 1045, 2404, 2006, 1037, 2678, 2000, 2562, 2033, 3110, 7109, 2100, 2096, 2026, 10338, 4810, 2005, 2178, 27090, 1012, 1996, 2678, 1045, 4900, 2956, 9677, 2308, 8239, 2402, 4364, 1010, 2105, 2026, 2287, 1012, 2122, 2214, 20649, 2428, 10667, 5999, 2108, 22843, 2011, 4364, 2431, 2037, 2287, 1998, 2020, 2428, 2183, 2005, 2009, 13175, 1998, 15601, 2004, 1996, 16054, 2015, 13750, 2068, 2007, 2037, 2502, 3813, 10338, 2015, 1012, 2092, 1010, 2009, 2134, 1005, 1056, 2202, 2146, 2077, 1045, 2001, 3201, 2153, 1998, 4046, 1996, 15723, 1997, 2192, 6949, 2013, 1996, 2795, 3875, 2033, 1998, 2001, 10137, 1996, 4658, 6381, 2035, 2058, 2026, 11841, 9093, 1010, 2029, 2074, 2081, 2009, 6211, 2127, 2009, 1043, 9863, 6675, 1999, 1996, 11737, 2422, 2013, 1996, 10437, 2006, 1996, 2060, 2217, 1997, 1996, 2282, 1012, 2302, 2582, 4748, 2080, 1045, 2001, 2855, 8058, 2026, 2192, 2039, 1998, 2091, 2026, 26484, 6536, 3666, 17858, 2004, 1996, 2308, 2006, 2026, 3898, 12999, 2000, 2022, 21746, 1012, 2007, 2107, 1037, 7109, 2100, 4356, 2183, 2006, 1999, 2392, 1997, 2033, 1998, 2007, 1996, 2794, 8742, 1997, 1996, 6949, 14309, 2006, 2026, 7395, 1045, 2001, 2574, 3201, 2000, 7455, 2243, 2153, 2061, 1045, 4046, 1037, 8153, 1998, 4201, 2009, 2006, 2026, 13878, 2004, 1045, 2499, 2026, 2192, 2058, 2026, 17061, 6994, 1010, 2153, 2009, 24107, 1999, 2026, 2192, 1998, 8245, 13544, 2077, 5008, 1037, 2146, 28259, 5460, 1997, 2980, 2317, 18047, 2408, 2026, 7579, 1998, 3108, 1012, 2153, 1010, 1045, 12176, 2870, 2125, 1998, 7463, 1996, 4981, 2091, 2279, 2000, 1996, 2500, 1010, 2073, 2045, 2001, 3243, 1037, 3074, 1997, 5800, 2098, 2317, 8153, 1012, 2035, 2023, 2051, 1996, 2678, 2001, 2145, 2652, 1998, 1045, 2001, 15261, 2012, 2129, 2855, 1045, 2001, 3201, 2000, 2175, 2153, 1012, 2026, 12455, 2097, 2022, 5131, 2574, 1045, 2245, 1010, 2061, 1045, 1005, 2222, 2191, 2023, 1037, 2204, 2028, 1012, 2043, 1045, 2215, 2000, 13988, 2524, 1998, 2204, 2045, 1005, 1055, 2467, 2028, 2518, 1045, 2224, 1012, 1037, 3056, 2678, 1045, 2179, 2096, 8040, 27897, 2026, 6687, 1005, 1055, 2282, 2005, 22555, 1012, 1045, 2123, 1005, 1056, 2113, 2065, 2016, 4282, 1045, 1005, 2310, 2288, 2009, 2021, 2016, 2469, 2180, 1005, 1056, 2031, 1996, 5048, 2000, 3198, 2005, 2009, 2067, 1012, 1996, 2678, 1999, 3160, 2003, 1037, 2188, 3185, 4760, 2026, 2388, 8239, 2841, 2007, 1037, 2502, 2304, 29454, 3527, 1010, 2029, 2016, 2081, 2005, 2026, 2269, 2004, 1037, 5798, 2556, 2197, 2095, 1012, 2017, 2089, 2228, 2008, 1005, 1055, 17704, 4326, 1010, 2021, 2065, 2017, 1005, 1040, 2412, 2464, 2026, 2388, 6248, 2017, 1005, 1040, 3305, 1012, 2006, 1996, 2648, 2016, 3504, 3243, 5810, 1010, 2146, 2829, 2606, 1010, 2312, 2665, 2159, 1998, 2312, 2751, 10366, 7877, 1010, 2779, 2559, 3275, 2005, 1037, 2450, 2014, 2287, 1045, 1005, 1040, 2360, 1010, 2007, 1037, 2978, 1997, 3526, 15859, 2618, 18266, 2105, 2014, 9222, 1998, 21666, 7683, 6017, 5710, 2105, 2014, 6700, 2043, 2016, 11651, 1037, 17573, 4848, 1012, 2021, 6248, 1010, 10166, 999, 999, 999, 2016, 2038, 1996, 5221, 1010, 2087, 3819, 25671, 2017, 2071, 5674, 1010, 1998, 2302, 2014, 7877, 2016, 2038, 1037, 2613, 7916, 25263, 1999, 2014, 3239, 1012, 1996, 3815, 1997, 7455, 2243, 1045, 1005, 2310, 16486, 2096, 3666, 2008, 2143, 1045, 2064, 1005, 1056, 5674, 999, 4312, 1010, 1045, 1005, 1040, 2074, 2318, 1996, 2143, 2043, 1045, 4384, 1045, 2018, 2053, 8153, 2187, 2349, 2000, 2026, 3025, 6521, 1012, 1045, 2245, 2026, 12455, 2052, 2022, 1037, 2204, 2431, 1011, 3178, 2012, 2560, 2061, 1045, 22374, 18266, 2000, 1996, 5723, 2145, 6248, 2013, 1996, 5808, 2091, 2007, 2026, 10338, 4100, 1011, 14908, 1012, 1045, 10619, 2005, 1037, 2617, 1999, 1996, 5723, 2043, 1045, 2657, 1996, 2392, 2341, 1011, 4330, 10025, 2021, 2004, 2574, 2004, 1996, 2341, 2441, 2009, 2701, 2153, 1998, 2044, 1037, 3371, 2030, 2061, 1045, 16826, 2026, 2132, 2041, 1997, 1996, 5723, 2341, 1998, 2657, 5755, 10025, 2061, 1045, 5071, 2008, 2009, 2001, 6368, 2005, 2068, 2061, 1045, 8040, 3126, 11998, 2067, 2000, 2026, 2282, 3201, 2000, 12181, 2125, 2058, 2026, 3566, 1005, 1055, 7916, 3185, 1012, 2174, 1010, 2043, 1045, 2513, 2000, 2026, 2282, 1045, 2001, 9860, 2000, 2424, 2026, 2190, 2767, 3533, 2938, 2006, 2026, 2793, 15261, 2012, 1996, 2143, 2006, 1996, 2694, 1012, 1045, 2134, 1005, 1056, 2113, 2054, 1996, 3109, 2000, 2079, 1045, 2359, 2000, 3280, 2045, 1998, 2059, 1012, 1045, 2018, 3294, 6404, 2055, 2026, 2110, 1997, 4377, 2030, 2026, 2110, 1997, 18905, 2127, 3533, 2738, 8351, 19983, 2357, 2000, 2033, 1998, 6250, 1005, 6703, 3109, 1010, 2053, 2342, 2000, 3198, 2054, 2017, 1005, 2310, 2042, 2039, 2000, 999, 999, 1005, 1045, 2018, 2053, 7526, 2012, 2035, 2005, 2026, 2783, 3653, 14808, 24996, 1998, 2074, 5112, 2026, 2132, 5327, 2009, 2001, 1037, 9202, 3959, 1012, 2174, 1010, 8074, 2070, 4654, 20464, 8067, 3508, 2055, 2026, 2108, 2768, 6248, 1999, 2392, 1997, 1037, 3124, 1045, 2018, 2124, 2035, 2026, 2166, 2007, 1037, 4100, 1011, 11841, 10338, 1998, 1037, 11333, 2094, 1997, 8153, 1010, 1996, 2279, 7615, 7135, 2033, 2130, 2062, 1012, 3533, 1005, 1055, 3086, 2001, 2153, 4567, 2000, 1996, 3898, 2073, 2026, 2388, 2001, 3659, 2006, 2014, 2793, 6248, 4582, 11516, 7699, 2046, 4950, 17033, 1998, 13475, 2006, 2014, 2219, 5294, 22017, 5910, 1005, 6616, 2033, 1010, 2016, 2921, 2216, 4251, 999, 1005, 11867, 23128, 3533, 2004, 2002, 3592, 2012, 2026, 2388, 10137, 2014, 2312, 5061, 12682, 1012, 1005, 9413, 1012, 1012, 1012, 1012, 3398, 6775, 1005, 1010, 1045, 11867, 23128, 1010, 2004, 1045, 2768, 7708, 2000, 1996, 3962, 1010, 7708, 2008, 2003, 3272, 2005, 2026, 11328, 10551, 7406, 10338, 1012, 3533, 2357, 2000, 2033, 2320, 2062, 1998, 2790, 2000, 2022, 11770, 2011, 1996, 4356, 1997, 2026, 2524, 2239, 18414, 13027, 2041, 2875, 2032, 1012, 1005, 10166, 6775, 1005, 1010, 2002, 4191, 1010, 1005, 1045, 2202, 2009, 2017, 2066, 2023, 2678, 2059, 1005, 1012, 1045, 2134, 1005, 1056, 2113, 2129, 2000, 6869, 1998, 2074, 2768, 6575, 2005, 1037, 3433, 2127, 3533, 2506, 1010, 1005, 1045, 1005, 2222, 2425, 2017, 2054, 1010, 2559, 2012, 2216, 25671, 1010, 1045, 1005, 1049, 2025, 6616, 2378, 1005, 4527, 1010, 1045, 1005, 1049, 2893, 3492, 2980, 2870, 1005, 1012, 2469, 2438, 1037, 12185, 2012, 3533, 1005, 1055, 28629, 3936, 2002, 2001, 4975, 1037, 3492, 2812, 23708, 1999, 2010, 6471, 2205, 1012, 1005, 13325, 2011, 1996, 3504, 1997, 2035, 2122, 14095, 2182, 2006, 2115, 2723, 1045, 1005, 2310, 2288, 2070, 9105, 2039, 2000, 2079, 2205, 1012, 1012, 1012, 1012, 1012, 2123, 1005, 1056, 2568, 2065, 1045, 3693, 2017, 2079, 2017, 1029, 1005, 2002, 4372, 15549, 5596, 1012, 1045, 2245, 2009, 2001, 1037, 8257, 2021, 2077, 1045, 2071, 6869, 3533, 2001, 2635, 2125, 2010, 6007, 1998, 2018, 3718, 2010, 6471, 2036, 1012, 1045, 2001, 7078, 15261, 2004, 3533, 2938, 1010, 2302, 1037, 2729, 1010, 2006, 2026, 2793, 4100, 1011, 6248, 3666, 2026, 2388, 15429, 3126, 20179, 2025, 1017, 2519, 2185, 2013, 2010, 2227, 1012, 1045, 2768, 1998, 3592, 2004, 2002, 2584, 2091, 1998, 3856, 2039, 1996, 15723, 1997, 2192, 6949, 2013, 1996, 2723, 3875, 2032, 1998, 2211, 11243, 2009, 4314, 2135, 2000, 2010, 18348, 19085, 1012, 2574, 2002, 2001, 4688, 4257, 2006, 2026, 2793, 13940, 2010, 10338, 1010, 2029, 2018, 2085, 16090, 2000, 2019, 8052, 1023, 5282, 1010, 14107, 2010, 2312, 7345, 14196, 2039, 1998, 2091, 1012, 1045, 3592, 1999, 21606, 2004, 2010, 20696, 2015, 3473, 10989, 1998, 2010, 22387, 3473, 2062, 21813, 2127, 2002, 2001, 4214, 2026, 2388, 1006, 2030, 2012, 2560, 1996, 3746, 2006, 3898, 1007, 2035, 11901, 1997, 18294, 3415, 2077, 6886, 2010, 2132, 2067, 1010, 12344, 2010, 5423, 1998, 4214, 2041, 2026, 2388, 1005, 1055, 2171, 2004, 2002, 2915, 1037, 11333, 2094, 1997, 27571, 3240, 4317, 7455, 2243, 2035, 2058, 2010, 3108, 1010, 4308, 1998, 2192, 1012, 2004, 2002, 3913, 2067, 1999, 9967, 1010, 2004, 1045, 2018, 2589, 3807, 2074, 2781, 2077, 1010, 2002, 4384, 2033, 2768, 1010, 2145, 1999, 1996, 2173, 1045, 2018, 3133, 1010, 8153, 2145, 1999, 2192, 1010, 10338, 2145, 2524, 2004, 1037, 2600, 1012, 1005, 4485, 6775, 1012, 1012, 1012, 1012, 1005, 2002, 28149, 1010, 1005, 1012, 1012, 1012, 2488, 2079, 2242, 2055, 2008, 2077, 2009, 27583, 999, 1005, 1012, 2002, 10272, 17799, 2033, 2058, 1998, 4778, 2033, 2000, 4133, 2006, 1996, 2793, 2279, 2000, 2032, 1010, 2145, 18307, 2013, 2010, 1041, 3900, 19879, 3508, 1012, 1045, 4016, 2067, 1998, 3592, 2012, 1996, 3898, 1010, 2026, 2388, 2001, 2113, 5026, 2841, 2125, 2007, 2093, 3093, 2503, 2014, 4954, 15875, 22418, 2004, 1045, 4810, 2000, 3066, 2007, 2026, 10338, 1012, 1045, 2001, 2145, 3666, 1996, 3898, 2043, 1045, 2371, 1037, 4658, 8742, 2006, 2026, 10338, 1998, 2357, 2000, 2156, 3533, 2938, 10051, 3875, 2033, 1005, 2182, 6775, 1012, 1012, 1012, 2031, 2070, 1997, 2023, 1005, 2002, 3253, 1010, 2004, 2002, 20378, 1037, 2312, 1038, 4135, 2497, 1997, 6949, 3816, 2007, 2010, 2219, 23592, 2317, 7455, 2243, 2013, 2010, 2085, 13109, 6305, 6895, 2094, 2266, 1012, 1999, 2019, 7107, 2002, 2001, 11243, 1996, 8150, 2000, 2026, 9093, 1998, 7395, 2007, 2010, 2502, 2844, 2192, 22604, 2009, 2052, 2191, 2009, 2514, 2488, 1012, 1045, 2001, 7135, 2000, 7523, 2008, 1996, 3110, 1997, 2032, 25296, 2026, 7395, 2001, 5186, 8242, 1998, 1045, 2701, 2026, 2159, 1998, 2435, 1037, 2210, 6682, 1012, 1005, 2821, 1010, 2017, 2066, 2008, 2079, 2017, 1029, 1005, 1012, 1012, 1012, 1012, 4191, 3533, 1012, 1012, 1012, 1012, 1012, 1005, 2292, 2033, 2079, 2009, 2005, 2017, 2059, 999, 1005, 1010, 1998, 2007, 2008, 2002, 2001, 10137, 2026, 10338, 2035, 2058, 2007, 2010, 7455, 2243, 3139, 2398, 1012, 1045, 2481, 1005, 1056, 2903 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2025, 1037, 2266, 1029, 11562, 2000, 3693, 3784, 3296, 5779, 2349, 2015, 1024, 1002, 2753, 3265, 1025, 1002, 3938, 2155, 1006, 1016, 2111, 1007, 1025, 1002, 3486, 3076, 1996, 7354, 6499, 2696, 6549, 3192, 1006, 7842, 2546, 1007, 3591, 2188, 12384, 2121, 2852, 1012, 6287, 18749, 19771, 2099, 2007, 1037, 10366, 13082, 1997, 1996, 25033, 2239, 2160, 1010, 9875, 25706, 4113, 2160, 1010, 2772, 2011, 1996, 13825, 1998, 5859, 2198, 14255, 14515, 1012, 2023, 3297, 7354, 6499, 2696, 2082, 2188, 2001, 2881, 1999, 3925, 2011, 6798, 19435, 5349, 1998, 2703, 18466, 1010, 1998, 2003, 2006, 7842, 2546, 1521, 1055, 2327, 2702, 2442, 1011, 2156, 2862, 1997, 3054, 13013, 13098, 2715, 3121, 1999, 7354, 6499, 2696, 1010, 3516, 1012, 1996, 2160, 2097, 2022, 2956, 2006, 20820, 7562, 2076, 7842, 2546, 1521, 1055, 2959, 3296, 4294, 2782, 1010, 7354, 6499, 15464, 7716, 1010, 2281, 2184, 1011, 2260, 1010, 2418, 1012, 2724, 9735, 2175, 2006, 5096, 2257, 2321, 1010, 2418, 1012, 7354, 6499, 15464, 7716, 1012, 4012, 10951, 2013, 1996, 25033, 2239, 2160, 13082, 5770, 7842, 2546, 1521, 1055, 7552, 3454, 1998, 2097, 2022, 2006, 5096, 2012, 1996, 16913, 4497, 2076, 7354, 6499, 15464, 7716, 5353, 1012, 2005, 4341, 27050, 1010, 3531, 10373, 18558, 1030, 7842, 2546, 1011, 5034, 4160, 1012, 8917, 1012, 2106, 2017, 2113, 1024, 1999, 4052, 1010, 1996, 2688, 1997, 2715, 2396, 1006, 3566, 2050, 1007, 1999, 2047, 2259, 2103, 3479, 1996, 25033, 2239, 2160, 2004, 2028, 1997, 1996, 2539, 4973, 1997, 3506, 2328, 2044, 2088, 2162, 2462, 2004, 1037, 7156, 2640, 1997, 1996, 2925, 1012, 1996, 2064, 15286, 25896, 4412, 2038, 3886, 19702, 24009, 2000, 12379, 25710, 7923, 2008, 9319, 2049, 9203, 4937, 24553, 4338, 2007, 1037, 25401, 2006, 1523, 25033, 2239, 1524, 4412, 2075, 3430, 1012, 2006, 6928, 1010, 2238, 2260, 1010, 1996, 7354, 6499, 2696, 6549, 3192, 1006, 7842, 2546, 1007, 2623, 1996, 2418, 4791, 1997, 1996, 4369, 3296, 7842, 2546, 1011, 2703, 18466, 15691, 1012, 1996, 2982, 8312, 2165, 2173, 2012, 3614, 2989, 2267, 1997, 2396, 1009, 2640, 1521, 1055, 3834, 2415, 1010, 2282, 19843, 1010, 2013, 1019, 1024, 2382, 2000, 1021, 7610, 1012, 10691, 16423, 1516, 1002, 1019, 1010, 2199, 2267, 6566, 7354, 6499, 2696, 3017, 2082, 4619, 5065, 1521, 1055, 10891, 2267, 1997, 2396, 1998, 2640, 1010, 10891, 1010, 4108, 2097, 5463, 1996, 2118, 1997, 3146, 1010, 5899, 8925, 5207, 1516, 1002, 1015, 1010, 2199, 2267, 6566, 7914, 3026, 2152, 2082, 4619, 2097, 2022, 7052, 1996, 2118, 1997, 10289, 8214, 1010, 1999, 6253, 11557, 1516, 1002, 3156, 2267, 6566, 7222, 3193, 2082, 4619, 2097, 2022, 7052, 14916, 21218, 27867, 14466, 2820, 1010, 9553, 1010, 6396, 5253, 5754, 14163, 28061, 26087, 1516, 1002, 3156, 2267, 6566, 2697, 3702, 8086, 2152, 2082, 4619, 2097, 2022, 7052, 2119, 4203, 10768, 2267, 1998, 2118, 1997, 3516, 1010, 28645, 3077, 1010, 13109, 2055, 1996, 7842, 2546, 1516, 2703, 18466, 6566, 2982, 2144, 2262, 1010, 7842, 2546, 1998, 1996, 2745, 10556, 12624, 3192, 2038, 3018, 1002, 4029, 1010, 21950, 1012, 4002, 2000, 4376, 3516, 2152, 2082, 10845, 8302, 1999, 1037, 6583, 7875, 1011, 11459, 2658, 3014, 1006, 1019, 1011, 2095, 8670, 2030, 8670, 1009, 5003, 1007, 1999, 4294, 1012, 17362, 2442, 2022, 1037, 4619, 1997, 1037, 7354, 6499, 2696, 1010, 24951, 17389, 1010, 7222, 25816, 1010, 29330, 1010, 5904, 1010, 3389, 2030, 20466, 2221, 1010, 3516, 2152, 2082, 1998, 1999, 2342, 1997, 3361, 5375, 1012, 2055, 2703, 18466, 2141, 1999, 4271, 1010, 2703, 18466, 3273, 2007, 8670, 27225, 20559, 4944, 4787, 24665, 7361, 4173, 2012, 5765, 4619, 2082, 1997, 2640, 1998, 2001, 2101, 4670, 1997, 1996, 2082, 1997, 4294, 2012, 7996, 2118, 1012, 3121, 1997, 2010, 2640, 2064, 2022, 2179, 1999, 3655, 2105, 1996, 2088, 1010, 2164, 2047, 2259, 1010, 3731, 1010, 3481, 4276, 1010, 5264, 1010, 4291, 4290, 1998, 14426, 1012, 2002, 2506, 2000, 2640, 3121, 2046, 1996, 4134, 1010, 1998, 2351, 1999, 2722, 2012, 1996, 2287, 1997, 6535, 1012, 18466, 1010, 2927, 2010, 2476, 1999, 7354, 6499, 2696, 1010, 3516, 1010, 2001, 2028, 1997, 1996, 2087, 6383, 8160, 1999, 2035, 1997, 3516, 1999, 1996, 4856, 1998, 2001, 1996, 2599, 3275, 1999, 1996, 7354, 6499, 2696, 2082, 1997, 4294, 2929, 1012, 2426, 2010, 2116, 2400, 1011, 3045, 3516, 3121, 2421, 1996, 5232, 4113, 2160, 1006, 3999, 1010, 2624, 20755, 2140, 2479, 1007, 1010, 12977, 2160, 1006, 4052, 1010, 7354, 6499, 2696, 1007, 7354, 6499, 2696, 2152, 2082, 2804, 1006, 3845, 1010, 7354, 6499, 2696, 1007, 1010, 8448, 2075, 5039, 1006, 3851, 1010, 9036, 3145, 1007, 1998, 23689, 3286, 5039, 1006, 3777, 1010, 21179, 2050, 2310, 7265, 1007, 1012, 2005, 2062, 2592, 1010, 3531, 3942, 16770, 1024, 1013, 1013, 7842, 2546, 1012, 3748, 9331, 7277, 4140, 1012, 8917, 1013, 6566, 5034, 4160, 2932, 1064, 2254, 2297, 2044, 2062, 2084, 2048, 2086, 1997, 4041, 1010, 15524, 1998, 2810, 1010, 1996, 7354, 6499, 2696, 6549, 3192, 1521, 1055, 5232, 4113, 2160, 15059, 2081, 2049, 25251, 2834, 2006, 1996, 5286, 1997, 1996, 3614, 2989, 2688, 2006, 2281, 1020, 1010, 2325, 1010, 27696, 1996, 13749, 2368, 18518, 1998, 2640, 1997, 10251, 4944, 2703, 18466, 1999, 2010, 2220, 7354, 6499, 2696, 2420, 1998, 8984, 2075, 4294, 4599, 7249, 1996, 3382, 2000, 3325, 1037, 18466, 2686, 2034, 11774, 1012, 2306, 1996, 2034, 2048, 2706, 1010, 2062, 2084, 1023, 1010, 2199, 5731, 4660, 1996, 2655, 1012, 1523, 2703, 18466, 2003, 5791, 1037, 2171, 7354, 6499, 2696, 1998, 2049, 5731, 2323, 2113, 1010, 1524, 2758, 7842, 2546, 2604, 3242, 9965, 8117, 5484, 1012, 2004, 1037, 12854, 2112, 1997, 1996, 7354, 6499, 2696, 2082, 1997, 4294, 1010, 18466, 2001, 6150, 1999, 5026, 1996, 2555, 2046, 3579, 2076, 1996, 3054, 13013, 13098, 2715, 2929, 1010, 2478, 12368, 2640, 6481, 2000, 4827, 13048, 2135, 13109, 10050, 11692, 20677, 2107, 2004, 1996, 12977, 2160, 2006, 11876, 2080, 13312, 1998, 1996, 7354, 6499, 2696, 2152, 2082, 5331, 1012, 28845, 2075, 1996, 2334, 2840, 3496, 2000, 2393, 4636, 1037, 8640, 1997, 2028, 1997, 1996, 3063, 1521, 1055, 2062, 5023, 17571, 2234, 4089, 1010, 2758, 8117, 5484, 1010, 28667, 21723, 2075, 1037, 24222, 2254, 2851, 4439, 3614, 2989, 3237, 2472, 4459, 2152, 2041, 2000, 2624, 20755, 2140, 2479, 2000, 2156, 1996, 2434, 5232, 4113, 2160, 1012, 1523, 2008, 2428, 2853, 2032, 2006, 1996, 2878, 2622, 1998, 2057, 2020, 2583, 2000, 3613, 1012, 1524, 1523, 18466, 2001, 2019, 7601, 7103, 4263, 1010, 1037, 2200, 5541, 4944, 1010, 1524, 10217, 3533, 2332, 1010, 1996, 4944, 13487, 2007, 23218, 2041, 2129, 2000, 3857, 18466, 1521, 1055, 2640, 2019, 7974, 1012, 1037, 2484, 1011, 2011, 1011, 2484, 1011, 3329, 4592, 2686, 1010, 1996, 2235, 2946, 19337, 3111, 1996, 4944, 1521, 1055, 3754, 1010, 2478, 3117, 2640, 3787, 2107, 2004, 1996, 2723, 1011, 2000, 1011, 5894, 12238, 16556, 1998, 10124, 2282, 8745, 2000, 4372, 8017, 3351, 1996, 2686, 1012, 1999, 1996, 6438, 1997, 5024, 3681, 1010, 2813, 1011, 7451, 28180, 2015, 7632, 15465, 2012, 1996, 4412, 1010, 2000, 2022, 2992, 2030, 6668, 2429, 2000, 1996, 3954, 1521, 1055, 3791, 2030, 18394, 1012, 2187, 2000, 8992, 1010, 2027, 5703, 2012, 3054, 1011, 2504, 1010, 22922, 2053, 6549, 13827, 2646, 9394, 2030, 11845, 1012, 1523, 18466, 2003, 8281, 1997, 1037, 2200, 28675, 2640, 1010, 1524, 2002, 2758, 1010, 1523, 1037, 2200, 23589, 2126, 2008, 2003, 2109, 2000, 2191, 6549, 2686, 18920, 1998, 21249, 1012, 1524, 3383, 7880, 2003, 2023, 2062, 10358, 2084, 1999, 1996, 3375, 2021, 10480, 19838, 4726, 2291, 9756, 1996, 28180, 2015, 2007, 4139, 3240, 2015, 1010, 18856, 5243, 3064, 14607, 1998, 2417, 3960, 10472, 4675, 11179, 2015, 1012, 1523, 2130, 2295, 2009, 1521, 1055, 11581, 1998, 3154, 1010, 1524, 2332, 2758, 1010, 1523, 2045, 1521, 1055, 2467, 1037, 3168, 1997, 6547, 1517, 1520, 2129, 2515, 2009, 2147, 1029, 1521, 1524, 1996, 8640, 2001, 1523, 10368, 1010, 1524, 2332, 14456, 1010, 2021, 2007, 18466, 1521, 1055, 2434, 2630, 16550, 2015, 2005, 4431, 1998, 11702, 1998, 7008, 2013, 1996, 2434, 2005, 7831, 1010, 1996, 2622, 2253, 15299, 1012, 2810, 2165, 2069, 2055, 2416, 2706, 1010, 4566, 1999, 2255, 1010, 1998, 1996, 18263, 2112, 2790, 2000, 2022, 4531, 6413, 4475, 1010, 2107, 2004, 4799, 13110, 2005, 1996, 2041, 3089, 13327, 2015, 1998, 5372, 14607, 1998, 4675, 11179, 2015, 2005, 1996, 19838, 4726, 1012, 2093, 1011, 11226, 26572, 20367, 8164, 2089, 2022, 2041, 1997, 17734, 2085, 1010, 2021, 1523, 2008, 2001, 1996, 6745, 1998, 4602, 1999, 3999, 1010, 1524, 15537, 2332, 1012, 4039, 2000, 2424, 1996, 9059, 18970, 2417, 4675, 11179, 2015, 1010, 1996, 2622, 7001, 2098, 2000, 3435, 7406, 2048, 3886, 14130, 2015, 2007, 1037, 10053, 1998, 2478, 4958, 11636, 2100, 1998, 2060, 4475, 2000, 28667, 29313, 1996, 5372, 1022, 1011, 4960, 6705, 1012, 1996, 3626, 2069, 8851, 14386, 4383, 2013, 18466, 1521, 1055, 2640, 1999, 2048, 2590, 3971, 1010, 2169, 18756, 2012, 4352, 1037, 3618, 2193, 1997, 2111, 2000, 5959, 1996, 2622, 1012, 4526, 2019, 8327, 2612, 1997, 1037, 10427, 3085, 2542, 2686, 1010, 1996, 5723, 2001, 3718, 1999, 5684, 1997, 1037, 6336, 1010, 2437, 1996, 8327, 15822, 1011, 7801, 1012, 1998, 2559, 2000, 2191, 1996, 8327, 1037, 7118, 2028, 1010, 1996, 15059, 2001, 2580, 2000, 2022, 4089, 3714, 2091, 1010, 9687, 1998, 2059, 7183, 1010, 2007, 2332, 7477, 2075, 7661, 1011, 2081, 27396, 2015, 2005, 2074, 2107, 3800, 1012, 2525, 2404, 2000, 1996, 3231, 1010, 1996, 15059, 2001, 2034, 3833, 1999, 24951, 17389, 2221, 2077, 2108, 2716, 2000, 1996, 3614, 2989, 5286, 1010, 2073, 2009, 2001, 2128, 27241, 23931, 2302, 1037, 27738, 1012, 2007, 1996, 15059, 7154, 2006, 3614, 2989, 5286, 2127, 2255, 1008, 2023, 2095, 1010, 8117, 5484, 1998, 7842, 2546, 2525, 2298, 2000, 1996, 2279, 2644, 1010, 1999, 7566, 2007, 2107, 3182, 2004, 1996, 5232, 2396, 2415, 1999, 11334, 1998, 1996, 2120, 2311, 2688, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 1523, 2111, 2024, 18896, 1010, 1524, 2016, 2758, 1012, 1523, 4294, 2003, 2893, 2049, 2349, 1999, 3522, 2086, 1012, 1524, 1031, 1008, 10195, 3602, 1024, 1996, 3614, 2989, 2688, 3668, 1996, 15059, 1521, 1055, 2994, 2127, 2258, 2382, 1010, 2418, 1012, 2058, 5354, 1010, 2199, 5731, 2031, 7255, 1996, 2160, 2144, 3098, 2006, 2281, 1020, 1010, 2325, 2076, 7354, 6499, 15464, 7716, 5353, 1012, 1033, 2296, 8875, 4136, 1037, 2466, 1516, 14768, 6129, 1996, 23127, 14584, 2003, 2028, 2518, 1998, 25416, 14287, 21837, 3243, 2178, 1010, 2004, 4907, 17840, 2064, 2012, 22199, 1012, 2478, 4592, 7008, 2013, 1037, 4052, 2932, 5607, 2011, 6549, 8088, 16245, 2358, 14511, 2121, 2005, 8606, 1010, 17840, 1998, 2010, 7842, 2546, 2136, 2031, 2589, 2037, 2190, 2000, 28024, 1996, 4592, 2640, 2007, 1996, 2168, 6635, 18679, 2004, 1996, 4294, 1012, 2007, 28844, 2098, 2791, 1998, 1037, 16776, 2978, 1997, 6735, 1010, 17840, 9022, 1996, 7595, 1006, 1998, 1996, 4274, 1007, 2005, 2074, 1996, 2157, 5167, 2000, 27639, 1996, 5232, 4113, 2160, 1999, 2049, 2434, 4856, 25545, 1012, 5221, 2689, 2723, 2075, 2908, 2024, 1996, 4462, 11409, 9890, 2819, 8158, 1010, 2999, 2011, 4993, 20228, 26985, 1012, 1523, 2057, 2699, 2000, 2131, 2009, 1010, 1524, 2758, 17840, 1010, 1523, 2021, 2009, 1521, 1055, 2041, 1997, 2537, 1012, 1524, 2008, 2347, 1521, 1056, 2061, 2524, 6536, 10437, 12800, 4052, 17840, 2245, 2023, 2028, 2052, 2022, 7823, 1010, 6170, 2989, 2009, 2041, 3202, 2043, 2356, 1012, 1996, 4827, 1997, 1996, 2051, 1010, 2002, 2758, 1010, 12287, 2723, 1011, 2000, 1011, 5894, 16437, 2015, 1010, 2437, 1996, 2944, 1999, 1996, 2358, 14511, 2121, 7760, 2648, 1996, 13373, 1012, 2021, 1037, 4248, 2644, 2000, 2156, 1037, 2767, 2012, 27232, 2314, 27763, 1999, 27232, 2669, 2001, 2035, 2009, 2165, 1012, 17840, 2409, 2032, 2054, 2002, 2001, 2559, 2005, 1010, 1523, 1998, 2002, 2245, 2005, 2274, 2781, 1010, 1524, 23412, 17840, 1010, 2077, 5825, 2046, 1996, 2067, 1998, 4192, 2007, 1996, 10437, 1012, 1523, 2074, 2066, 2008, 1012, 1524, 2051, 4832, 2145, 5877, 8397, 1523, 2027, 2145, 2191, 1996, 2168, 8397, 1010, 1524, 17840, 2758, 1012, 2027, 2109, 2000, 2655, 2068, 1523, 2472, 1521, 1055, 8397, 1010, 1524, 2002, 2758, 1010, 2021, 1996, 2168, 29530, 2047, 2259, 2194, 2008, 2081, 1996, 8397, 1999, 1996, 2434, 5232, 2160, 2035, 2216, 2086, 3283, 1010, 12772, 1010, 2145, 3084, 2216, 2168, 8397, 1012, 1996, 2069, 2613, 4489, 2003, 2008, 1996, 3080, 4275, 2018, 8903, 16859, 2015, 2006, 1996, 2519, 1010, 1523, 2066, 1996, 8903, 10247, 1997, 1037, 11942, 1012, 1524, 2242, 2015, 5407, 1999, 5842, 14692, 4605, 2019, 5875, 8875, 1010, 2021, 2025, 2061, 2172, 2005, 2049, 3276, 2000, 18466, 2030, 5232, 2004, 2008, 2007, 2358, 14511, 2121, 1010, 1998, 2129, 2009, 3849, 2000, 3769, 2039, 1999, 2061, 2116 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4113, 8519, 2031, 2443, 6422, 2375, 16214, 9388, 24141, 2483, 1004, 13426, 7112, 1049, 1012, 9946, 6422, 2375, 4905, 6643, 15599, 1004, 5735, 1010, 11775, 2520, 1046, 1012, 28022, 6422, 2375, 4905, 2375, 2436, 1997, 2520, 1046, 1012, 28022, 6253, 1038, 1012, 5474, 2480, 1010, 5622, 6169, 2860, 3910, 1998, 5766, 5736, 12604, 10762, 1010, 5622, 6169, 2860, 2708, 4082, 2961, 7673, 14255, 29358, 2121, 6031, 3026, 3237, 2472, 18667, 1999, 8329, 1010, 15038, 4054, 1997, 2740, 12054, 2923, 16216, 4360, 12412, 2729, 3208, 5796, 2860, 1010, 5622, 6169, 2860, 1010, 4642, 2278, 16216, 4360, 12412, 2729, 3208, 8213, 1010, 2035, 2055, 13376, 19960, 1010, 1048, 26760, 1010, 4642, 2278, 16216, 4360, 12412, 2729, 3208, 17207, 2050, 2729, 2968, 1998, 2188, 2729, 10189, 1012, 2198, 5003, 5886, 1006, 2128, 2102, 1012, 1007, 2280, 4748, 10020, 1012, 3648, 18699, 4013, 20179, 5434, 6422, 1013, 4639, 2155, 26435, 2731, 1037, 2565, 2005, 2865, 6591, 4699, 1999, 3529, 13376, 1013, 4639, 2945, 2281, 1020, 1011, 1022, 1010, 2418, 1022, 1024, 2382, 2572, 1516, 1019, 1024, 2382, 7610, 2006, 2420, 1015, 1011, 1016, 1010, 1022, 1024, 2382, 2572, 1011, 1017, 1024, 2382, 7610, 2006, 2154, 1017, 4844, 2104, 2112, 16333, 2011, 1996, 6396, 2110, 10562, 2457, 2291, 1521, 1055, 2436, 1997, 4748, 2099, 3454, 2005, 3176, 26435, 2731, 1008, 8839, 18856, 2229, 2024, 2800, 1008, 1008, 2591, 2147, 8292, 2271, 2024, 2800, 1008, 1008, 1008, 2055, 1996, 2731, 2023, 2565, 12011, 2865, 6591, 7772, 4813, 1998, 5461, 2005, 2551, 2007, 15995, 1998, 4639, 2945, 5307, 3314, 2107, 2004, 2542, 7565, 1010, 2729, 23795, 1010, 4439, 1010, 2155, 4807, 1010, 2966, 6567, 1010, 4204, 1997, 4905, 1013, 2740, 2729, 4013, 16898, 2015, 1013, 14240, 5605, 1013, 9530, 8043, 22879, 5668, 5605, 1010, 3361, 4041, 1010, 3776, 4041, 1010, 2097, 15795, 1010, 2155, 2613, 3776, 1010, 1998, 3167, 3200, 4353, 1012, 7832, 2421, 1024, 1011, 10886, 3314, 1011, 2691, 18608, 1011, 2047, 9942, 2005, 13822, 1998, 9530, 8159, 2075, 1011, 2551, 2007, 2312, 1010, 15484, 2155, 2967, 1011, 6605, 3674, 22859, 1998, 3674, 3314, 1011, 2164, 1996, 1000, 2376, 1000, 1997, 1996, 6422, 1011, 12962, 5936, 1011, 5821, 1013, 2893, 1996, 2773, 2041, 7860, 1997, 12520, 1011, 5177, 1004, 3558, 3896, 1997, 12520, 1011, 8498, 4336, 1011, 27520, 2007, 3279, 1011, 2729, 23795, 1998, 12520, 2945, 1011, 2146, 2744, 2729, 7047, 2005, 13376, 1011, 4041, 2005, 3361, 2968, 1011, 2966, 3247, 2437, 1011, 2146, 1011, 2744, 2729, 5366, 1010, 1998, 7047, 2005, 7079, 2005, 2729, 1011, 11412, 3860, 1011, 14240, 5605, 1998, 15955, 1011, 2235, 2177, 11110, 1011, 21992, 1521, 1000, 3869, 18912, 2140, 1000, 10467, 1011, 4800, 1011, 2283, 2535, 3248, 3794, 1523, 2995, 1011, 2000, 1011, 2166, 1524, 16820, 3465, 1024, 1002, 6535, 2629, 2065, 3825, 2011, 2220, 8819, 15117, 1006, 2156, 2917, 1007, 1025, 1002, 6486, 2629, 6920, 1012, 2950, 6265, 2229, 1010, 27962, 1010, 1998, 2607, 4475, 1012, 1006, 4236, 2220, 1010, 2004, 2256, 2093, 1011, 2154, 3454, 2031, 2411, 2853, 2041, 1012, 1007, 1000, 2023, 14872, 2026, 10908, 999, 1996, 6422, 6567, 29656, 26435, 2731, 3084, 1037, 17075, 2553, 2005, 2339, 2057, 2342, 2000, 3357, 2039, 2000, 2023, 2120, 4119, 1998, 3084, 2009, 2825, 2005, 2865, 6591, 2000, 3357, 2046, 2122, 4187, 2021, 10059, 2155, 11450, 1012, 1045, 2288, 1037, 2307, 2709, 2006, 2026, 5211, 1024, 2592, 1011, 9742, 1010, 6742, 1010, 18988, 1011, 1011, 4352, 2033, 2000, 7949, 2026, 2194, 1005, 1055, 2578, 2000, 3113, 2023, 3652, 5157, 1012, 1000, 9985, 1037, 1012, 14255, 9363, 13602, 1010, 6887, 1012, 1040, 1012, 12375, 2689, 1010, 11775, 1523, 1529, 1037, 18783, 1010, 2200, 4372, 13149, 2075, 2731, 3325, 2008, 1045, 2097, 2467, 3342, 1012, 1524, 6615, 1006, 5736, 1007, 24181, 1010, 25325, 1012, 26435, 2573, 1010, 4297, 1012, 1010, 6613, 1010, 6396, 1000, 2788, 2043, 2028, 3632, 2000, 1037, 3034, 2030, 2731, 2009, 2003, 2641, 3144, 2065, 2028, 3138, 2185, 2028, 13432, 3538, 1997, 2592, 2013, 1996, 2878, 2724, 1012, 1999, 2026, 2553, 2026, 10908, 2020, 3020, 2445, 2008, 1045, 2018, 1037, 2709, 4440, 1997, 2070, 2871, 2847, 8932, 2051, 1012, 1045, 2179, 2035, 1996, 25588, 2061, 3716, 3085, 1998, 2061, 13459, 2055, 2037, 7832, 2008, 1045, 2052, 2031, 2641, 1996, 2731, 1037, 4121, 3112, 2018, 1045, 2069, 2042, 2583, 2000, 4952, 2000, 2151, 2309, 2028, 1997, 2068, 999, 2023, 2731, 2001, 2019, 4895, 22930, 28731, 2094, 3112, 2005, 1996, 22933, 2869, 1998, 1045, 2071, 2025, 8489, 2037, 2147, 2438, 1010, 2013, 10549, 2037, 7832, 2000, 2037, 3601, 1997, 25588, 1010, 2023, 2001, 5262, 1037, 18085, 1998, 2658, 3947, 2008, 2027, 2064, 2157, 2135, 2022, 2200, 7098, 1997, 1012, 1045, 2097, 5121, 2022, 2559, 2000, 5463, 2178, 1997, 2037, 2824, 1012, 1000, 2585, 22132, 2319, 1010, 2248, 26435, 2578, 1010, 8666, 1010, 2047, 3414, 3166, 1997, 4468, 5075, 1004, 2994, 4142, 8500, 6868, 1004, 24179, 2940, 2289, 1998, 2054, 1005, 1055, 4363, 2017, 8300, 2012, 2305, 8500, 6868, 2230, 1523, 6422, 6567, 29656, 1521, 3935, 6422, 26435, 2731, 1012, 1012, 1012, 2001, 6581, 1025, 2941, 1996, 2190, 1045, 2031, 2412, 5281, 1012, 2009, 2001, 2092, 4114, 1006, 1998, 1007, 1996, 3395, 3043, 2001, 3294, 3139, 1012, 1006, 2023, 2001, 1007, 1996, 2087, 25582, 2135, 16984, 1998, 4415, 3591, 1006, 2731, 1007, 1045, 2031, 2664, 3230, 1012, 1524, 4869, 25563, 1010, 6887, 1012, 1040, 1012, 2865, 4263, 1010, 2522, 1011, 3166, 1997, 6422, 28964, 1024, 1996, 5592, 1997, 26906, 9246, 1521, 1055, 18621, 1010, 5003, 1000, 4067, 2017, 2035, 2005, 1996, 6581, 2565, 2197, 2733, 1011, 1996, 18216, 2020, 6581, 1010, 1996, 4475, 2074, 1996, 2828, 1997, 2518, 2008, 1045, 2097, 2224, 1999, 1996, 2925, 2004, 1037, 4431, 6994, 1012, 5525, 2017, 2031, 7422, 2172, 2051, 1010, 2245, 1010, 1998, 3947, 2000, 4526, 2023, 8395, 1011, 2115, 2147, 2038, 3825, 2125, 2005, 1996, 6818, 999, 1000, 4869, 2793, 9305, 2140, 1010, 1049, 1012, 1037, 1012, 1010, 1046, 1012, 1040, 1012, 1010, 10855, 14162, 18853, 1010, 11775, 1010, 2047, 4033, 1010, 14931, 1000, 1996, 2731, 2565, 2001, 1996, 2190, 1045, 2031, 5281, 2058, 1996, 2086, 1011, 2061, 2172, 2592, 2000, 2832, 1011, 1045, 1005, 1049, 2145, 2551, 2006, 2009, 1012, 1000, 28112, 3841, 17701, 1010, 2865, 4263, 1010, 4880, 19429, 1010, 5003, 1000, 1045, 1005, 1049, 2145, 16806, 3070, 2000, 3071, 2129, 7070, 1045, 2179, 1996, 2731, 1998, 2129, 1045, 5632, 2035, 1997, 1996, 25588, 1012, 1000, 7673, 11417, 3372, 2527, 12083, 1010, 4905, 1013, 2865, 4263, 1010, 2047, 2259, 2103, 3295, 1024, 1996, 5232, 2415, 1010, 18225, 7676, 2395, 1010, 8446, 1010, 5003, 26859, 2800, 2006, 1011, 2609, 1006, 1002, 3438, 2000, 1002, 5345, 2566, 2305, 1025, 2282, 6165, 3395, 2000, 2689, 1007, 1012, 2005, 2282, 17829, 1010, 3531, 3967, 1996, 5232, 2415, 3495, 2012, 6079, 2581, 1011, 5986, 2683, 1011, 4464, 16147, 2030, 3942, 7479, 1012, 5232, 6593, 2099, 1012, 8917, 1012, 1006, 3602, 2008, 2069, 2070, 1997, 1996, 4734, 3749, 3784, 21725, 1010, 1998, 2500, 2442, 2022, 17414, 2011, 3042, 1010, 2061, 3531, 2655, 6079, 2581, 1011, 5986, 2683, 1011, 4464, 16147, 2005, 3176, 11343, 1012, 1007, 2060, 3309, 7047, 2164, 3731, 26490, 8446, 1998, 3309, 22472, 2024, 3518, 1025, 2017, 2097, 4374, 4751, 2006, 8819, 1010, 2030, 2514, 2489, 2000, 3967, 2149, 2012, 2731, 1030, 6422, 3207, 28472, 2015, 1012, 4012, 1010, 2030, 1006, 6079, 2581, 1007, 5786, 2487, 1011, 6352, 2683, 1060, 24594, 2005, 2062, 2592, 1012, 1008, 2023, 2731, 2003, 4844, 2104, 2112, 16333, 2011, 1996, 2047, 2259, 2110, 10562, 2457, 2291, 1005, 1055, 2436, 1997, 4748, 2099, 3454, 2005, 2385, 2847, 1997, 3176, 26435, 2731, 1012, 1006, 3531, 3602, 2008, 2345, 11073, 2006, 2151, 2457, 9238, 2003, 2012, 1996, 19258, 1997, 1996, 2334, 3831, 3648, 1998, 6577, 1999, 1037, 2607, 2008, 2003, 2593, 4844, 2030, 14223, 6226, 2515, 2025, 11302, 11073, 2006, 1037, 2334, 2457, 9238, 1012, 1007, 1008, 1008, 2023, 2607, 2038, 2042, 4844, 2011, 1996, 2110, 1997, 8839, 2005, 2538, 1012, 2423, 2847, 1997, 5719, 3423, 2495, 6495, 1010, 2164, 2539, 1012, 2423, 2847, 2236, 6495, 1998, 1016, 1012, 1014, 2847, 9615, 6495, 1012, 16214, 2323, 2069, 4366, 4923, 4012, 3549, 26210, 3686, 2007, 1996, 6698, 1997, 2037, 6577, 1999, 1996, 4023, 1012, 1008, 1008, 1008, 2591, 2147, 5719, 2495, 6495, 1024, 2023, 2565, 2038, 2042, 4844, 2005, 5719, 2495, 6495, 2005, 24933, 6132, 5397, 1999, 1996, 2558, 1997, 2255, 1015, 1010, 2355, 1011, 2244, 2382, 1010, 2760, 1010, 1999, 10388, 2007, 24398, 4642, 2099, 1010, 2004, 4076, 1024, 2538, 1012, 2423, 2847, 2005, 2035, 1017, 2420, 1012, 3731, 2118, 2082, 1997, 2591, 2147, 20104, 2193, 1038, 1011, 2324, 1011, 5709, 2629, 1012, 1008, 1008, 1008, 1008, 2627, 26758, 2015, 2031, 5147, 4162, 2005, 2060, 2110, 1011, 3563, 5719, 3423, 2495, 6495, 1025, 2057, 2024, 3407, 2000, 2393, 2007, 2122, 5097, 1006, 2019, 3176, 7408, 1997, 2039, 2000, 1002, 2753, 2089, 6611, 1007, 1012, 3531, 1999, 15549, 2890, 2005, 4751, 1012, 3591, 2011, 6422, 6567, 29656, 1010, 1037, 2407, 1997, 3820, 4219, 1010, 11775, 1011, 1037, 2136, 1997, 5281, 2865, 6591, 2040, 2147, 2007, 15995, 1998, 2037, 2945, 2000, 4769, 9755, 2008, 13368, 1999, 6422, 2729, 1998, 2155, 3247, 1011, 2437, 1012, 2065, 2017, 2024, 4699, 1999, 2023, 2731, 2030, 2925, 2731, 2015, 1010, 3531, 2655, 1006, 6079, 2581, 1007, 5786, 2487, 1011, 6352, 2683, 1060, 24594, 1010, 10373, 2731, 1030, 6422, 3207, 28472, 2015, 1012, 4012, 1010, 2030, 4236, 2917, 1012, 16990, 3343, 1024, 2057, 3914, 1996, 2157, 2000, 17542, 2023, 2731, 2011, 1996, 6422, 6567, 29656, 16990, 15117, 1006, 2156, 6134, 2917, 1007, 1012, 2057, 3685, 2022, 2218, 3625, 2005, 2250, 17883, 11727, 2030, 2060, 3604, 5366, 1012, 20588, 6494, 7666, 2097, 2022, 19488, 2011, 10373, 1997, 16990, 1999, 2107, 2553, 1010, 1998, 2440, 25416, 26698, 2097, 2022, 3843, 1012, 2065, 1037, 2731, 2003, 8014, 2030, 24501, 7690, 18696, 2044, 2023, 15117, 2349, 2000, 6214, 3458, 2256, 9608, 2491, 1006, 1041, 1012, 1043, 1012, 5729, 4633, 1010, 3019, 7071, 1007, 1010, 20588, 6494, 7666, 2024, 4709, 2000, 4651, 1996, 8819, 2000, 1037, 2925, 2565, 2306, 2260, 2706, 1012, 6422, 6567, 29656, 1010, 1037, 2407, 1997, 3820, 4219, 1010, 11775, 1010, 4618, 2025, 2022, 3625, 2005, 2151, 2060, 3279, 22667, 2011, 1996, 20588, 6494, 3372, 2004, 1037, 2765, 1997, 1037, 16990, 2030, 24501, 7690, 9307, 1012, 2065, 1037, 20588, 6494, 3372, 17542, 2015, 2011, 1996, 25416, 8630, 16990, 15117, 1006, 2156, 6134, 2917, 1007, 1010, 1037, 2440, 25416, 8630, 15718, 1002, 2382, 1012, 4002, 2097, 2022, 3843, 1012, 2044, 2008, 3058, 1010, 1037, 25416, 8630, 3685, 2022, 3843, 1010, 2348, 2017, 2089, 4604, 1037, 7681, 5463, 4402, 1012, 1064, 1064, 15117, 2005, 2220, 1064, 6422, 6567, 29656, 16990, 2281, 1020, 1011, 1022, 1010, 2418, 2244, 2321, 1010, 2418, 2244, 2539, 1010, 2418, 2244, 2570, 1010, 2418, 3531, 3602, 1024, 2065, 2017, 4299, 2000, 2562, 1037, 6100, 1997, 2023, 2433, 2030, 2024, 5653, 2075, 1999, 1037, 4638, 1010, 3531, 6140, 2023, 3931, 2077, 2115, 2811, 1000, 12040, 1012, 1000, 2017, 2089, 5653, 2115, 4638, 1006, 3477, 3085, 2000, 3820, 4219, 1010, 11775, 1007, 2000, 1024, 6422, 6567, 29656, 1010, 1037, 2407, 1997, 3820, 4219, 1010, 11775, 2382, 24547, 15049, 2395, 22804, 1010, 5003, 6185, 2692, 2575, 2475, 3531, 2421, 1037, 6100, 1997, 1996, 6140, 5833, 2007, 2115, 4638, 1012, 4067, 2017, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 2060, 2154, 1037, 7615, 2121, 7034, 2008, 1000, 2023, 2095, 1999, 2049, 15700, 2003, 2559, 3492, 5355, 9028, 2213, 4102, 2000, 2049, 8646, 1012, 1000, 2008, 2288, 2033, 2228, 2378, 1005, 1012, 2045, 1005, 1055, 2053, 16039, 2249, 2001, 1037, 3492, 10392, 2095, 1999, 2399, 1011, 1998, 1045, 2113, 2008, 1005, 1055, 2242, 2008, 1005, 1055, 2316, 6340, 2055, 3243, 5570, 1011, 2021, 1039, 1005, 12256, 1010, 2228, 2055, 2009, 1012, 1045, 2064, 23114, 2125, 2702, 12476, 4486, 2013, 2249, 2074, 2125, 1996, 2327, 1997, 2026, 2132, 1012, 2182, 1010, 3393, 7382, 2666, 3046, 1024, 14429, 1016, 1010, 4895, 7507, 17724, 1017, 1010, 2715, 8309, 1017, 1010, 11686, 1017, 1010, 2757, 2479, 1010, 2601, 9293, 1010, 2757, 2686, 1016, 1010, 3712, 20026, 1010, 9445, 1016, 1010, 26829, 1010, 7385, 1010, 8942, 1024, 15745, 3511, 2103, 1010, 6615, 1010, 9577, 2135, 6389, 5192, 4774, 1010, 5650, 1024, 12013, 5651, 1010, 3102, 15975, 1017, 1010, 10432, 20654, 1010, 9991, 2075, 1010, 2139, 2271, 4654, 1024, 2529, 4329, 1010, 5012, 1017, 1010, 4097, 2386, 1024, 7321, 1012, 2061, 1010, 3174, 1012, 1998, 2008, 1005, 1055, 2074, 2006, 1996, 8827, 2509, 2007, 2048, 8816, 1011, 2069, 4486, 2013, 1060, 28522, 1012, 1045, 1005, 1049, 2025, 2130, 10320, 27838, 15150, 2030, 1996, 7605, 2015, 2030, 1996, 10478, 7473, 1011, 2249, 2001, 1037, 10424, 6799, 2378, 1005, 12476, 2095, 1011, 2021, 2003, 2262, 2428, 1037, 5532, 1997, 4180, 1010, 4102, 2000, 1996, 16299, 5133, 8894, 2015, 2008, 10357, 2249, 1029, 2292, 1005, 1055, 2831, 4977, 1012, 2562, 1999, 2568, 1010, 1996, 2262, 6209, 7085, 4033, 1005, 1056, 2042, 25756, 2041, 1010, 2664, 1012, 1045, 1005, 2310, 2053, 4797, 2012, 2560, 2178, 2431, 1011, 6474, 2600, 1011, 5024, 6420, 1011, 1037, 2399, 2097, 2022, 2794, 2000, 2023, 2862, 2077, 1996, 2203, 1997, 2251, 1010, 2349, 2041, 2005, 2713, 2090, 2255, 1998, 2281, 1997, 2023, 2095, 1011, 2021, 2057, 2123, 1005, 1056, 2113, 2055, 2068, 1010, 2664, 1012, 2182, 1005, 1055, 2054, 2057, 2079, 2113, 1012, 1996, 2206, 2399, 2097, 2471, 5791, 2022, 3833, 4498, 1997, 12476, 1010, 2007, 1037, 10059, 10097, 2075, 1997, 3565, 1011, 4658, 2791, 1012, 12090, 1012, 17201, 1018, 2003, 2349, 2041, 2023, 2095, 1012, 9471, 2055, 2008, 1010, 2106, 2017, 1029, 1045, 1005, 2310, 2467, 4669, 2021, 2196, 3866, 1996, 17201, 6329, 1011, 2130, 2061, 1010, 1996, 2186, 2038, 27792, 11247, 1998, 3115, 1011, 4292, 3784, 1012, 2028, 2064, 2717, 8916, 2008, 1011, 2130, 2295, 2186, 4761, 8844, 21122, 11239, 2038, 2333, 2006, 1011, 7513, 2097, 2022, 6886, 2019, 27744, 3815, 1997, 2769, 2012, 2047, 9722, 27810, 6088, 2000, 5676, 2008, 17201, 1018, 3464, 2012, 1996, 2327, 1997, 1996, 10122, 1042, 4523, 3899, 8632, 1012, 7020, 2595, 2038, 2196, 2042, 1037, 4586, 21172, 25837, 1012, 2009, 1005, 1055, 1037, 2126, 1011, 7046, 1011, 2084, 1011, 2166, 1010, 6171, 4310, 10877, 1011, 2806, 14878, 2007, 9951, 12225, 1010, 9882, 17363, 1998, 1037, 2196, 1011, 2625, 1011, 2084, 1011, 9033, 20838, 6050, 1012, 2562, 1999, 2568, 1010, 2023, 3475, 1005, 1056, 3432, 1037, 2128, 27927, 8971, 2011, 2070, 2125, 1011, 1996, 1011, 11142, 9722, 1011, 7020, 2595, 2003, 2067, 1999, 1996, 2398, 1997, 19413, 2710, 1010, 2040, 2499, 2006, 7020, 2595, 24026, 1998, 7020, 2595, 2509, 1012, 2023, 2003, 2028, 2197, 1011, 8991, 6329, 1045, 2031, 2042, 5996, 2000, 2156, 24910, 1999, 2152, 1011, 13366, 1011, 2019, 3733, 1011, 2655, 2154, 1011, 2028, 5309, 1012, 6358, 17780, 1998, 23179, 2399, 2709, 2000, 1996, 6329, 2008, 2417, 28344, 2054, 27911, 2015, 2064, 3246, 2005, 1999, 1037, 2034, 1011, 2711, 3325, 1012, 15175, 2000, 3432, 29449, 2300, 2011, 4192, 2000, 9680, 11244, 1010, 16012, 22231, 3600, 10709, 2003, 2612, 1037, 6259, 8297, 2000, 1996, 8987, 16012, 22231, 3600, 1011, 2007, 1037, 3313, 1011, 2091, 2006, 2839, 1998, 20957, 1010, 1037, 2047, 10392, 2389, 2103, 2000, 8849, 1998, 24665, 9541, 10736, 2047, 9760, 2008, 3499, 2017, 2000, 4875, 2105, 1996, 16349, 18236, 2006, 15775, 6491, 1011, 13912, 4334, 3210, 1012, 16012, 22231, 3600, 10709, 1011, 6414, 2349, 2000, 2049, 9487, 4348, 1011, 2003, 2525, 2006, 2116, 2460, 7201, 2005, 2208, 1997, 1996, 2095, 2262, 1012, 2601, 7363, 2869, 2001, 1037, 12090, 2678, 2208, 9530, 25969, 3258, 1012, 2009, 2001, 2019, 9223, 3112, 1999, 11247, 1010, 2640, 1010, 2396, 3257, 1998, 20957, 1011, 2028, 1997, 2026, 5440, 2399, 1997, 2230, 1011, 1998, 1045, 3685, 3524, 2005, 2049, 8297, 1012, 2601, 7363, 2869, 4117, 1996, 20640, 5021, 1011, 2338, 2806, 1997, 3533, 5506, 5397, 7895, 1010, 1996, 13554, 4337, 9760, 1997, 1037, 29445, 6548, 2089, 5390, 1010, 1996, 12077, 6001, 1011, 2069, 4808, 1997, 2643, 1997, 2162, 1011, 2247, 2007, 1037, 2431, 1011, 6474, 2275, 4109, 2030, 9760, 2766, 2013, 1996, 2190, 1997, 1996, 2627, 2702, 2086, 1997, 10355, 1011, 5760, 2098, 2127, 5744, 1010, 1998, 4162, 2009, 2000, 1996, 6919, 3252, 1997, 1996, 5722, 1997, 27838, 15150, 1012, 2009, 2001, 2119, 6625, 1998, 26162, 2135, 2047, 1011, 1998, 2085, 2008, 16215, 4160, 2003, 6427, 2027, 2089, 2031, 1037, 6329, 2006, 2037, 2398, 1010, 1045, 3685, 3524, 2000, 2156, 2054, 6819, 20142, 2399, 2515, 2007, 2019, 5025, 5166, 1012, 1057, 5603, 1010, 2643, 1012, 1045, 2074, 3427, 1996, 9117, 2153, 1011, 25212, 4402, 2063, 999, 3742, 3466, 1017, 16012, 8059, 3613, 2000, 2599, 1996, 5308, 2043, 2009, 3310, 2000, 7399, 1010, 2530, 1011, 2764, 22531, 2015, 1012, 2007, 1996, 2087, 7680, 13876, 8918, 2537, 5300, 2023, 2217, 1997, 2345, 5913, 1010, 1996, 2376, 2147, 1997, 8987, 5848, 2066, 7673, 13084, 1010, 10889, 24820, 4337, 1010, 1037, 4138, 16596, 1011, 10882, 5304, 1010, 16012, 8059, 1005, 1055, 10392, 3015, 1998, 1037, 8790, 2466, 2274, 2086, 1999, 1996, 2437, 1010, 3742, 3466, 1017, 2097, 2327, 2116, 2111, 1005, 1055, 2208, 1997, 1996, 2095, 7201, 1010, 2272, 2285, 1012, 4098, 13470, 1017, 2151, 10069, 1045, 2018, 4953, 4098, 1005, 1055, 2191, 7840, 2020, 4487, 13102, 21148, 2007, 2023, 16475, 9708, 1010, 27696, 2008, 1996, 4563, 9760, 1011, 1998, 9428, 1010, 1996, 2514, 1997, 1996, 2208, 1011, 3961, 10109, 1012, 1045, 2514, 2172, 1996, 2168, 1010, 2085, 1010, 2055, 4098, 13470, 1017, 2004, 1045, 2079, 17201, 1018, 1012, 2023, 3475, 1005, 1056, 1037, 2210, 5604, 1011, 1996, 1011, 5380, 6771, 1012, 2023, 2003, 1037, 2208, 2008, 1996, 10478, 5749, 7559, 2003, 6886, 2049, 2440, 3635, 2369, 1010, 2764, 2011, 2019, 4722, 5749, 7559, 2996, 1012, 1045, 2123, 1005, 1056, 5987, 1037, 2417, 5602, 1997, 1048, 1012, 1037, 1012, 15587, 2063, 1010, 2182, 1012, 5749, 7559, 2097, 5466, 2004, 2172, 2769, 2012, 23378, 2004, 2009, 3791, 2000, 2468, 1996, 26533, 2353, 1011, 2711, 13108, 1997, 2262, 1011, 1998, 2065, 4098, 13470, 1016, 2001, 2505, 2000, 2175, 2011, 1010, 2023, 2089, 2468, 2019, 2035, 1011, 2051, 4438, 1012, 2718, 2386, 2003, 1037, 2088, 1011, 2465, 6329, 1011, 2028, 1011, 2353, 1997, 1996, 4151, 7124, 1997, 22150, 4486, 1010, 2247, 2007, 3384, 6718, 5024, 1998, 12383, 1012, 2122, 2399, 2031, 2467, 23390, 9788, 10906, 1010, 3635, 2100, 7284, 2015, 1010, 10392, 7224, 1010, 18439, 11247, 1998, 1996, 9487, 2189, 1997, 15333, 17668, 18712, 2094, 1012, 2085, 1011, 2633, 1011, 22834, 2031, 2513, 2000, 2054, 2027, 2079, 2190, 1010, 1998, 2026, 2643, 2009, 3504, 9882, 1012, 2718, 2386, 1024, 14689, 4747, 13700, 2089, 2025, 2022, 1996, 2190, 2208, 1997, 2262, 1010, 2021, 1045, 2064, 11302, 2009, 1005, 2222, 2022, 2028, 1997, 2026, 20672, 1012, 1008, 1008, 1008, 2061, 2045, 1005, 1055, 2698, 2399, 1045, 2064, 3492, 2172, 14306, 2017, 2097, 2022, 12656, 1012, 1997, 2607, 1010, 2521, 2062, 5875, 2084, 2399, 2008, 2097, 2022, 2307, 2024, 2399, 2008, 2089, 2022, 2307, 1012, 2045, 1005, 1055, 2498, 2062, 11771, 2084, 2469, 3723, 1010, 2061, 2182, 1005, 1055, 1037, 12046, 10228, 1997, 4933, 2008, 2089, 1011, 2065, 2027, 2444, 2039, 2000, 2037, 10659, 1011, 2022, 6919, 3971, 2000, 5949, 2256, 2051, 1012, 7490, 4024, 1005, 1055, 8773, 2001, 1010, 2065, 2498, 2842, 1010, 1996, 6259, 8297, 2000, 1996, 28341, 9788, 16009, 1024, 7209, 6215, 1012, 2023, 2003, 1037, 2502, 1010, 5968, 20875, 1010, 23244, 2075, 2330, 1011, 2088, 13638, 14081, 2073, 2151, 15775, 4246, 2055, 16561, 2003, 10040, 2185, 1998, 2017, 2024, 2404, 1999, 3094, 1997, 1037, 2839, 2040, 7887, 2038, 2643, 5549, 7237, 2000, 1005, 2006, 1005, 1012, 3383, 3505, 1047, 10404, 15859, 2243, 2056, 2009, 2190, 1025, 1000, 1999, 8773, 1010, 2017, 2064, 2079, 1037, 16894, 5926, 2006, 1037, 7739, 1012, 2054, 1996, 6616, 2842, 2079, 2017, 2215, 1029, 1000, 6548, 2089, 5390, 1000, 2821, 2053, 1010, 6548, 2089, 5390, 1005, 1055, 2128, 27927, 2003, 2108, 8971, 2011, 14104, 3399, 999, 2027, 1005, 2310, 2196, 2589, 2307, 4337, 999, 1998, 2027, 1005, 2128, 2770, 2009, 2006, 1996, 4895, 22852, 3194, 999, 2008, 2064, 1005, 1056, 2079, 8442, 11048, 2566, 2117, 999, 1998, 2027, 1005, 2310, 17051, 9649, 999, 10958, 11362, 999, 10958, 11362, 10958, 11362, 999, 1000, 5223, 2869, 6069, 1005, 5223, 1011, 2021, 14104, 3399, 1005, 1055, 6548, 2089, 5390, 2089, 2022, 2074, 1996, 2915, 1999, 1996, 2849, 1996, 12520, 6329, 2734, 1012, 2292, 1005, 1055, 2227, 2009, 1010, 2477, 2020, 2893, 1037, 2210, 26729, 2007, 1018, 1011, 1998, 2445, 2008, 1006, 1040, 12458, 2487, 2472, 1007, 5342, 3211, 27829, 8717, 1005, 1055, 2333, 2006, 2013, 26861, 1010, 2002, 2064, 1005, 1056, 2022, 2356, 2000, 2507, 2009, 2178, 2175, 1012, 27829, 8717, 2038, 2144, 2582, 15514, 1998, 2417, 28344, 1996, 2715, 23244, 2121, 2007, 1996, 13352, 2140, 3016, 5643, 5946, 1011, 1998, 1996, 10238, 1997, 2619, 2041, 3527, 2075, 2032, 2012, 2010, 2219, 2208, 2024, 11754, 2000, 3904, 1012, 2053, 1010, 14104, 3399, 2003, 1037, 2204, 2801, 1012, 2027, 2079, 2190, 2054, 1040, 12458, 2038, 2467, 10858, 1011, 2522, 21579, 1010, 5875, 3441, 1998, 6919, 8484, 1012, 11506, 2023, 2007, 4337, 2008, 1005, 1055, 2108, 7887, 4844, 1998, 1056, 8545, 13808, 2094, 2011, 4563, 1040, 12458, 11216, 2012, 26861, 1010, 1998, 2057, 2031, 2242, 2008, 2071, 6011, 2200, 5875, 5262, 1012, 2013, 1996, 2204, 12455, 2012, 16941, 8663, 2638, 6593, 1016, 1010, 2040, 2716, 2149, 1996, 1006, 9882, 1007, 6583, 22134, 2080, 1024, 7209, 14104, 4040, 2399, 3310, 2004, 4648, 1011, 1037, 2516, 2055, 1000, 2893, 2428, 1010, 2428, 4854, 1012, 1000, 2004, 4648, 1005, 1055, 14532, 2003, 4975, 3243, 1037, 2978, 1997, 12610, 1999, 1996, 3068, 1010, 2007, 2498, 2021, 3893, 9597, 2013, 12455, 2040, 1005, 2310, 2908, 2398, 1011, 2006, 2007, 2009, 1012, 1037, 9703, 2003, 2349, 2041, 3859, 1010, 2021, 2127, 2059, 2057, 1005, 2222, 2074, 2031, 2000, 2022, 4180, 2007, 1996, 2801, 1997, 2643, 1997, 2162, 6010, 7560, 11327, 1998, 9951, 1010, 12476, 21389, 1997, 2428, 1010, 2428, 9421, 2125, 2416, 1011, 4273, 12043, 2015, 6012, 1996, 4485, 2041, 1997, 1996, 4344, 1997, 2643, 1012, 2148, 2380, 1024, 1996, 2208, 1037, 3565, 7986, 22531, 1011, 2806, 4337, 2291, 1010, 2764, 2011, 1006, 23902, 1024, 2047, 7136, 1007, 29042, 1010, 2517, 2011, 14826, 6262, 1998, 4717, 2962, 1012, 2342, 1045, 2360, 2062, 1029, 1011, 2053, 9117, 1010, 2664, 1011, 1045, 2572, 4142, 1057, 18477, 15794, 2031, 2042, 2551, 2006, 1045, 2572, 4142, 2005, 2061, 2146, 2028, 13172, 2009, 2001, 2028, 1997, 2216, 2623, 1011, 2059, 1011, 8014, 1011, 2059, 1011, 7943, 4486, 1012, 2593, 2126, 1010, 2009, 1005, 1055, 2349, 2041, 2076, 7513, 1005, 1055, 1060, 28522, 2160, 2283, 2724, 1010, 1998, 2023, 3504, 2066, 1037, 2200, 23824, 2208, 5262, 1012, 2007, 1037, 4666, 1997, 4337, 1010, 3159, 1997, 16667, 1011, 2806, 4132, 2075, 1998, 7691, 11247, 1010, 1045, 2572, 4142, 2071, 6011, 2000, 2022, 2028, 1997, 1996, 2488, 26720, 2399, 1997, 1996, 2095, 1012, 5070, 5256, 1005, 1055, 2137, 10103, 19519, 1011, 1996, 2434, 4098, 13470, 9722, 1011, 2404, 2362, 1037, 3492, 2569, 2516, 2007, 5070, 5256, 2067, 1999, 2230, 1012, 2009, 1005, 1055, 1037, 9882, 1010, 12483, 5469, 13108, 2008, 1010, 6854, 1010, 2987, 1005, 1056, 2113, 2043, 2000, 3844, 2039, 1011, 2021, 2058, 4371, 23067, 2271, 3015, 4998, 1010, 2009, 1005, 1055, 2145, 2028, 1997, 1996, 2488, 6322, 2006, 1996, 9475, 1012, 2137, 10103, 3432, 10659, 2000, 2022, 2062, 5070, 5256, 1012, 10785, 2129, 2172, 3475, 1005, 1056, 2124, 1011, 2021, 2057, 1005, 2310, 2288, 2047, 6716, 1010, 2047, 4255, 1010, 1998, 1037, 13633, 1997, 5256, 1005, 1055, 3492, 12476, 2466, 1011, 2029, 2965, 2062, 21283, 2013, 1037, 3213, 2040, 2071, 5770, 2013, 1037, 3608, 18201, 1012, 2008, 2056, 1010, 1045, 1005, 1049, 6069, 1005, 2022, 2524, 1011, 4508, 2000, 2025, 4965, 2137, 10103, 2012, 4888, 1012, 1060, 9006, 2003, 2108, 2404, 2362, 2011, 1016, 2243, 16400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 16234, 1024, 1037, 2978, 1997, 2653, 1010, 2498, 2350, 3494, 1024, 9586, 10729, 1010, 5070, 10729, 27594, 2545, 1024, 2350, 2135, 2005, 1996, 21810, 19962, 22599, 1024, 9586, 4858, 2370, 3554, 1037, 2162, 2006, 2048, 21430, 2043, 1037, 2373, 11641, 5260, 2000, 2019, 7738, 1999, 1996, 4393, 2313, 2012, 1996, 2168, 2051, 2004, 2002, 4858, 2370, 4083, 2129, 2000, 11997, 2007, 2010, 2219, 2275, 1997, 11738, 2112, 1015, 1064, 2112, 1016, 1064, 2112, 1017, 5070, 9083, 9586, 1005, 1055, 4744, 2074, 2648, 1996, 3614, 1997, 5474, 2008, 5129, 2010, 2188, 1012, 2002, 2357, 2125, 1996, 3194, 1998, 4597, 1010, 1998, 2005, 1037, 2617, 1010, 2074, 2938, 2067, 1999, 2010, 2835, 1998, 2246, 2083, 1996, 12727, 7266, 24410, 2012, 1996, 2648, 1997, 1996, 3384, 3482, 2010, 2567, 2170, 2188, 1012, 2035, 1997, 1996, 28279, 2020, 2701, 1012, 2002, 2018, 2701, 2087, 1997, 2068, 2370, 2077, 2002, 2187, 1010, 10851, 1996, 9325, 2008, 2001, 13053, 21442, 6895, 10895, 2083, 1996, 3645, 1997, 1996, 9117, 1012, 2002, 2018, 2036, 3139, 9586, 2132, 2000, 3329, 2007, 2019, 2214, 8768, 2000, 3796, 1996, 2422, 2582, 1025, 1996, 28279, 2020, 4857, 2438, 2008, 5494, 2068, 2134, 1005, 1056, 2191, 2172, 4489, 1012, 2002, 2387, 3350, 1997, 2008, 2085, 2205, 1010, 2004, 1996, 3751, 4597, 2503, 2081, 1996, 3645, 8652, 4408, 3756, 1012, 2004, 2002, 3427, 1010, 2002, 2387, 9586, 1005, 1055, 5192, 3413, 2058, 2028, 3332, 1998, 2000, 2178, 1012, 2010, 2567, 2001, 8300, 1012, 2002, 3887, 2012, 1996, 3712, 1012, 2009, 2001, 2471, 2440, 2601, 1010, 1997, 2607, 2002, 2001, 8300, 1012, 2643, 1010, 2009, 2001, 6881, 2000, 2228, 1999, 4393, 3408, 2043, 2002, 2245, 1997, 9586, 1012, 3402, 1010, 2673, 2001, 11043, 1012, 1996, 3663, 6966, 2032, 1997, 1996, 2335, 1999, 1996, 2627, 2043, 2002, 2018, 2768, 2648, 9586, 1005, 1055, 2188, 1999, 1996, 4768, 1010, 2074, 3666, 1998, 3403, 1012, 2002, 2018, 2042, 1037, 2431, 4393, 2059, 1010, 1998, 9652, 4394, 2010, 2567, 1012, 9586, 2052, 3942, 2032, 5681, 1010, 2411, 3810, 2039, 1999, 1996, 2690, 1997, 1996, 2305, 1010, 2128, 26576, 3070, 1997, 2668, 1998, 7518, 2013, 1996, 5690, 1012, 2002, 2052, 23277, 2075, 2010, 2398, 12531, 2004, 2002, 13823, 1996, 2282, 2559, 1999, 12721, 2012, 1996, 2668, 1010, 1996, 4111, 3464, 1998, 1996, 10095, 4063, 8029, 3941, 1025, 23277, 19839, 2989, 2010, 4451, 2012, 1996, 5437, 1010, 18333, 2000, 1996, 3466, 2010, 3739, 2001, 2383, 2006, 2010, 2567, 1005, 1055, 2431, 4393, 9456, 1012, 2059, 2002, 2052, 2681, 1010, 10436, 2005, 2706, 2012, 1037, 2051, 1010, 2975, 5070, 2894, 1012, 9586, 2973, 1037, 4795, 2166, 1012, 2296, 2305, 2045, 2001, 1037, 3382, 2008, 2242, 4895, 15222, 25804, 3468, 2052, 4148, 2000, 2032, 1012, 2000, 7496, 2010, 2568, 1010, 5070, 2052, 2272, 2182, 2070, 6385, 1998, 4638, 2039, 2006, 2032, 1010, 2196, 2437, 2010, 3739, 2124, 1012, 2002, 2052, 3233, 2025, 2205, 2521, 2013, 2073, 2002, 2001, 3564, 2157, 2085, 1010, 1998, 3422, 2005, 5751, 1997, 2166, 2503, 1010, 2074, 2000, 24647, 2370, 2008, 9586, 2001, 3100, 1025, 2008, 2242, 2910, 1005, 1056, 5407, 2000, 2032, 1012, 1999, 1037, 2126, 1010, 1996, 3663, 2001, 11674, 2085, 1010, 2021, 1999, 2178, 1010, 2009, 2001, 3599, 1996, 2168, 1012, 2002, 2371, 2008, 2168, 5481, 1997, 4335, 2006, 3773, 1996, 5192, 2008, 2409, 2032, 2010, 2567, 2001, 2145, 2045, 1010, 3599, 2073, 2002, 2018, 2187, 2032, 1012, 1996, 10683, 3244, 4524, 8345, 2006, 1996, 4628, 2835, 1997, 1996, 2482, 2001, 8966, 2007, 7376, 4255, 1010, 2021, 1037, 8406, 2347, 1005, 1056, 1996, 2069, 2126, 2000, 3102, 1037, 2431, 4393, 1012, 2065, 9586, 2018, 2428, 2018, 2359, 2000, 7806, 2077, 1996, 2645, 2018, 5625, 1010, 2002, 2052, 2031, 2179, 2178, 2126, 1012, 1996, 3638, 1997, 5070, 1005, 1055, 2034, 2305, 2004, 1037, 2431, 4393, 20014, 28121, 2098, 2588, 2010, 2568, 1012, 2009, 2001, 1037, 3638, 2008, 2002, 9969, 2134, 1005, 1056, 3942, 2411, 1010, 2021, 2028, 2008, 14205, 2135, 4188, 2000, 12985, 1012, 2919, 5758, 2020, 2066, 2008, 1010, 2027, 2196, 2790, 2000, 4982, 9666, 6292, 2058, 2051, 2066, 1996, 8242, 3924, 1012, 1037, 2261, 2086, 2013, 2085, 1010, 9586, 2052, 2031, 2010, 2219, 9844, 2919, 3638, 6406, 2185, 2279, 2000, 2035, 2010, 2500, 1012, 2008, 1010, 2030, 2002, 2876, 1005, 1056, 1010, 2021, 2008, 4522, 2001, 2130, 2062, 9202, 2000, 9530, 18532, 15725, 2084, 1996, 2783, 3663, 1012, 2157, 2085, 1010, 9586, 2052, 2022, 2183, 2083, 1996, 2168, 5177, 21741, 2002, 2018, 1012, 3352, 2028, 1997, 1996, 9219, 1025, 2009, 2001, 1996, 2028, 2518, 2008, 2296, 4477, 8615, 1010, 2021, 2008, 3904, 2052, 2412, 2228, 2055, 1010, 2127, 2009, 3047, 1012, 2058, 1996, 2279, 2261, 6385, 1010, 2065, 2027, 2134, 1005, 1056, 3102, 1996, 3040, 1010, 1996, 2668, 7393, 2102, 2052, 4982, 6428, 1010, 2127, 2009, 2211, 2000, 11494, 2010, 2296, 12447, 2245, 1012, 2000, 8622, 2032, 2008, 1010, 9586, 2052, 2342, 2000, 4392, 1012, 2763, 2025, 3892, 1010, 2672, 2025, 2130, 1996, 2305, 2044, 1010, 2021, 2574, 1012, 5070, 2018, 13335, 2005, 2172, 2936, 2084, 2002, 2323, 2031, 1010, 4340, 2000, 3280, 2077, 2002, 10749, 2668, 1010, 2130, 4111, 2668, 1010, 2021, 1999, 1996, 2203, 1996, 8639, 1997, 5012, 2018, 2042, 2005, 2498, 1010, 2002, 2018, 10795, 2000, 1996, 2342, 1012, 22363, 2018, 2042, 18555, 1998, 5236, 1012, 2002, 2910, 1005, 1056, 3373, 2009, 2012, 1996, 2051, 1010, 6427, 2008, 2002, 2001, 2725, 2000, 2157, 2518, 1010, 2021, 2002, 2018, 2448, 1996, 3891, 1997, 3974, 2491, 1010, 1997, 2635, 1037, 2166, 1010, 1998, 3974, 2673, 1012, 2002, 2876, 1005, 1056, 2292, 2010, 2567, 2202, 2008, 2785, 1997, 1037, 3891, 1012, 9586, 2052, 2342, 2000, 5438, 1012, 2008, 2001, 2025, 1037, 4512, 2008, 5070, 2001, 2559, 2830, 2000, 2383, 1012, 1996, 5192, 2008, 2018, 2042, 15304, 2011, 1996, 2341, 2005, 2070, 2051, 1010, 2333, 2185, 1012, 5070, 1005, 1055, 2398, 9672, 1996, 9602, 5217, 7371, 1010, 1998, 2002, 2165, 1037, 2784, 3052, 1010, 3201, 2075, 2370, 1012, 2043, 2002, 2001, 2004, 3201, 2004, 2002, 2001, 2412, 2183, 2000, 2022, 1010, 2002, 2441, 1996, 2341, 1997, 1996, 4744, 1010, 4046, 2010, 4524, 2013, 1996, 2060, 2835, 1010, 1998, 5598, 2000, 1996, 2598, 1012, 1996, 5474, 3614, 2008, 5129, 1996, 9117, 2001, 11809, 2000, 9586, 2085, 1012, 2049, 3860, 2018, 9955, 1996, 2617, 1996, 1051, 9468, 6279, 4630, 2018, 7024, 2000, 2022, 2529, 1012, 2004, 2002, 3706, 2058, 2009, 1010, 2002, 4999, 3251, 9586, 3651, 2008, 1012, 2023, 2134, 1005, 1056, 4025, 1996, 2051, 2000, 5254, 2009, 1012, 2004, 2002, 6589, 1996, 2093, 1010, 2235, 3384, 4084, 2008, 2419, 2000, 9586, 1005, 1055, 2341, 1010, 2010, 2192, 2333, 2000, 2010, 4979, 1010, 2073, 2002, 2921, 1996, 8622, 3145, 2008, 9586, 2018, 2445, 2032, 1999, 3863, 2005, 1037, 4872, 2008, 2002, 2052, 3457, 2009, 2007, 2010, 2166, 1012, 2002, 5864, 1010, 2010, 2192, 16349, 2074, 2648, 1996, 4979, 1010, 1998, 3184, 2010, 2132, 1012, 3788, 1999, 14477, 10695, 23709, 11788, 2347, 1005, 1056, 1037, 2204, 2801, 1012, 2008, 2001, 2242, 9586, 2018, 2196, 2790, 2000, 3305, 2043, 2010, 29213, 7879, 2211, 2007, 2032, 27244, 2075, 2046, 5070, 1005, 1055, 2188, 2302, 2151, 2785, 1997, 5432, 1012, 2612, 1010, 2002, 2992, 2010, 2192, 2000, 1996, 2341, 1998, 10410, 2093, 2335, 1010, 4741, 1010, 1998, 2059, 2093, 2062, 1012, 2037, 2214, 3595, 7324, 1012, 2002, 2910, 1005, 1056, 2245, 2055, 2009, 1999, 2086, 1998, 2002, 2018, 2053, 2801, 2054, 2018, 9469, 2032, 2000, 2224, 2009, 2085, 1012, 2002, 2165, 1037, 3357, 2067, 1010, 1998, 4741, 1012, 2043, 2045, 2001, 2053, 7514, 1010, 2002, 2699, 2153, 1010, 10989, 2023, 2051, 1012, 2002, 2018, 2464, 9586, 1005, 1055, 5192, 3048, 2105, 2069, 1037, 2261, 2781, 3041, 1010, 2021, 2002, 2018, 2018, 2051, 1999, 1996, 2261, 5312, 2009, 2018, 2579, 5070, 2000, 3328, 2013, 1996, 4744, 2000, 1996, 2341, 2000, 2079, 2242, 5236, 2065, 2002, 2359, 1012, 2002, 6573, 2005, 1037, 2353, 2051, 1010, 2061, 2524, 2010, 13513, 3480, 1012, 1996, 2341, 2441, 1010, 1998, 5070, 8726, 1037, 6682, 1997, 4335, 1012, 9586, 2246, 6659, 1012, 2145, 5102, 1999, 1996, 6530, 1010, 2668, 9153, 21280, 4253, 2013, 1996, 2305, 2077, 1010, 2010, 2606, 2001, 4895, 14149, 2094, 1998, 26484, 1010, 27039, 2013, 3637, 1012, 1037, 4857, 6741, 1997, 7518, 2435, 2010, 2227, 2019, 4895, 20192, 24658, 2100, 12342, 1012, 2002, 2246, 2205, 5122, 1010, 2066, 2002, 2001, 3554, 2125, 2019, 8985, 1012, 1999, 1037, 2126, 1010, 2008, 2001, 3599, 2054, 2010, 2303, 2001, 2667, 2000, 2079, 1010, 1998, 2574, 2009, 2052, 5382, 2008, 2009, 2018, 3478, 1012, 1523, 4931, 1010, 1524, 2002, 11567, 1010, 1998, 6153, 2125, 12128, 2408, 1996, 2282, 1010, 5128, 2004, 2172, 3292, 2004, 2002, 2071, 2090, 1996, 2048, 1997, 2068, 1012, 5070, 3706, 2503, 1998, 3724, 1996, 2341, 2701, 2369, 2032, 2007, 2010, 3329, 1012, 9586, 5112, 2067, 2011, 1996, 6411, 1012, 1996, 2694, 2001, 2006, 2007, 1996, 3872, 2357, 2091, 2000, 2498, 1998, 1996, 2739, 8601, 4760, 4871, 1997, 1996, 2088, 1005, 1055, 6745, 25539, 1012, 9586, 6999, 2010, 2608, 2105, 2010, 2303, 1998, 3427, 5070, 2200, 4876, 1012, 1523, 4931, 1010, 1524, 5070, 10187, 1012, 2002, 28842, 1996, 16195, 2006, 1996, 10683, 4524, 20078, 2408, 2010, 2067, 1010, 1998, 2165, 1037, 13079, 3357, 2046, 1996, 9117, 1012, 1523, 2129, 1005, 2128, 2017, 3110, 1029, 1524, 9586, 2165, 2178, 3357, 2067, 1010, 4415, 2383, 2787, 2019, 23569, 28591, 3292, 2000, 2562, 2090, 2068, 1998, 4340, 2000, 6293, 2000, 2009, 1012, 2002, 6345, 1010, 1998, 2506, 2000, 3239, 2010, 2567, 23625, 1012, 1523, 2157, 1012, 1524, 5070, 3368, 1012, 2008, 2001, 2055, 1996, 3433, 2002, 2018, 3517, 1012, 2002, 2939, 1037, 2210, 2582, 2046, 1996, 9117, 1998, 2246, 2105, 1012, 2426, 1996, 5156, 18856, 26878, 1010, 1996, 2235, 5259, 2008, 9586, 2921, 5689, 2006, 1996, 2813, 2018, 2042, 4895, 6806, 23461, 1998, 2872, 2227, 2091, 2006, 1996, 3302, 1997, 1996, 3829, 2795, 1012, 5070, 3030, 2279, 2000, 2009, 1012, 2010, 2192, 2584, 2041, 1998, 5028, 1996, 2512, 1011, 21346, 2217, 4780, 1012, 9586, 1005, 1055, 2159, 11471, 2032, 1010, 16418, 8601, 2005, 2032, 2025, 2000, 7615, 1012, 5070, 2481, 1005, 1056, 2393, 2021, 4687, 3251, 2010, 2431, 3746, 1999, 1996, 5259, 2018, 2579, 2010, 2567, 2011, 4474, 2004, 2002, 2939, 2627, 1010, 2030, 3251, 2002, 2018, 2246, 9969, 1010, 2000, 2131, 2009, 2058, 2007, 1012, 2030, 3251, 2002, 2018, 2246, 2012, 2035, 1012, 2002, 2766, 2067, 2010, 2192, 1998, 2872, 2009, 2012, 2010, 2217, 1012, 1523, 2017, 2165, 2026, 7533, 1010, 1524, 9586, 2056, 2633, 1012, 5070, 3368, 1012, 2010, 4524, 2001, 3082, 2007, 4255, 2008, 2002, 2018, 5067, 2013, 2105, 1996, 9117, 2077, 2002, 2187, 1012, 2002, 4196, 2009, 2013, 2010, 3244, 1998, 2872, 2009, 2006, 1996, 2795, 2279, 2000, 1996, 2091, 1011, 5307, 5259, 1012, 2009, 2718, 1996, 4799, 3302, 2007, 1037, 5189, 18856, 16814, 2004, 1996, 8417, 8183, 22516, 2094, 2114, 2028, 2178, 1012, 1523, 2017, 2699, 2000, 2224, 2028, 2006, 4426, 2197, 2305, 1010, 1524, 2002, 2056, 1012, 1523, 1045, 2342, 2017, 2000, 4872, 2008, 2017, 2180, 1005, 1056, 2079, 2009, 2153, 1012, 1524, 9586, 2134, 1005, 1056, 7514, 3442, 2185, 1012, 2002, 8371, 2010, 2608, 2408, 2010, 3108, 1998, 2246, 4780, 2185, 1012, 1523, 2073, 2106, 2017, 2175, 1029, 1524, 2002, 2356, 2633, 1012, 5070, 6345, 1012, 1523, 1045, 2018, 2070, 2477, 2000, 2079, 1010, 2059, 1045, 7771, 1012, 1045, 2342, 2008, 4872, 1010, 9586, 1012, 1524, 9586, 3368, 1012, 2074, 2320, 1010, 2021, 2008, 2001, 2035, 2009, 2165, 1010, 2027, 2134, 1005, 1056, 4682, 2000, 2028, 2178, 1010, 2065, 9586, 2081, 1037, 4872, 1010, 2002, 2921, 2009, 1012, 5070, 8363, 1012, 1523, 2005, 2004, 2146, 2004, 2045, 1005, 1055, 3246, 1010, 1524, 2002, 2794, 1012, 1523, 2021, 1045, 2180, 1005, 1056, 2292, 2023, 2022, 4568, 1012, 1524, 2006, 1996, 2197, 2773, 1010, 2010, 2376, 9630, 1025, 2069, 3621, 1010, 2021, 2008, 2210, 7540, 12056, 1996, 10401, 1997, 7404, 16499, 4218, 1996, 10889, 5475, 8829, 1012, 5070, 2371, 2010, 10006, 26753, 24942, 2011, 2010, 3903, 1012, 9586, 2001, 1999, 3255, 1010, 1998, 2045, 2001, 2498, 2002, 2071, 2079, 1012, 2002, 2481, 1005, 1056, 2130, 3233, 2011, 2010, 2567, 1005, 1055, 2217, 1998, 8595, 2032, 28734, 2006, 1996, 3244, 2066, 2002, 2109, 2000, 2043, 2027, 2020, 4268, 1012, 2002, 5121, 2481, 1005, 1056, 8549, 2032, 1010, 2025, 2008, 9586, 2052, 2022, 3497, 2000, 3233, 2005, 2008, 2785, 1997, 2019, 6832, 4653, 4312, 1012, 2027, 2134, 1005, 1056, 8549, 1010, 2004, 1037, 3627, 1012, 24459, 2020, 9235, 2069, 2005, 2216, 2569, 6642, 2043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1037, 2177, 1997, 2493, 2013, 12628, 4732, 2082, 1999, 2089, 3702, 2778, 1996, 2225, 2237, 2688, 1997, 3451, 2381, 2004, 1996, 2688, 1521, 1055, 13023, 1010, 15333, 3089, 26261, 15551, 1010, 3065, 2028, 1997, 1996, 1996, 4322, 1521, 1055, 2116, 3181, 5200, 1012, 1064, 2212, 6486, 9317, 1010, 2337, 1022, 1010, 2418, 1064, 1064, 2011, 2451, 3559, 1064, 1064, 1030, 2089, 3702, 2638, 9333, 2802, 2337, 1010, 2959, 3694, 2493, 2013, 2536, 2816, 1999, 2212, 6486, 2031, 2042, 12964, 2304, 2381, 3204, 2011, 5873, 1996, 2225, 2237, 2688, 1997, 3451, 2381, 1999, 2089, 3702, 1012, 1996, 2746, 2420, 2024, 24802, 2007, 6660, 2307, 2304, 2381, 3204, 2824, 1006, 2426, 1996, 4658, 4355, 1997, 2035, 2003, 1037, 2745, 4027, 9138, 2422, 2265, 4354, 2011, 13012, 2669, 1521, 1055, 8292, 12789, 2078, 3011, 1998, 2686, 2415, 1007, 1012, 2017, 1521, 2222, 2036, 2424, 2824, 2008, 23488, 2000, 2115, 2303, 1010, 2568, 1998, 4979, 2338, 1012, 17186, 2917, 2000, 2156, 2054, 9023, 2000, 2017, 1998, 2115, 3866, 3924, 1012, 6302, 1024, 11298, 2671, 2415, 2745, 4027, 9138, 2422, 2265, 1064, 1064, 18860, 1998, 14803, 2802, 2337, 1064, 1064, 2265, 2335, 8137, 1064, 1064, 13012, 2669, 2267, 1521, 1055, 8292, 12789, 2078, 3011, 1998, 2686, 2415, 1064, 1064, 2314, 7676, 2017, 2123, 1521, 1056, 2031, 2000, 2022, 2583, 2000, 4231, 17122, 2000, 5959, 2023, 14448, 4164, 3794, 1037, 3528, 1997, 2745, 4027, 1521, 1055, 3315, 17743, 2015, 2275, 2000, 3048, 9138, 2422, 1012, 3218, 2115, 5925, 2015, 1010, 9191, 1996, 10874, 1998, 19837, 1996, 2158, 1999, 1996, 5259, 1999, 2023, 7050, 2000, 1996, 8987, 9256, 1012, 11562, 2182, 2000, 4553, 2062, 2055, 2265, 2335, 1998, 7597, 1012, 2655, 1006, 3963, 2620, 1007, 5388, 2509, 1011, 17196, 2692, 2005, 1037, 3405, 2055, 1996, 2783, 6134, 1012, 2655, 1006, 3963, 2620, 1007, 3429, 2575, 1011, 6021, 8889, 4654, 2102, 1012, 28489, 2475, 2005, 2177, 17829, 1998, 2060, 27050, 1012, 8292, 12789, 2078, 3011, 1998, 2686, 2415, 2003, 2284, 2006, 1996, 3721, 1997, 13012, 2669, 2267, 1010, 2456, 4833, 3927, 2314, 7676, 1012, 13866, 2386, 2304, 2381, 3204, 6350, 1064, 1064, 5095, 1010, 13114, 1012, 2340, 1064, 1064, 1022, 1024, 2382, 1037, 1012, 1049, 1012, 1064, 1064, 2643, 1521, 1055, 2160, 1997, 2567, 2135, 2293, 2277, 1064, 1064, 4330, 3702, 1996, 4013, 11365, 2080, 3545, 18645, 4707, 1521, 1055, 7058, 6350, 2097, 2202, 2173, 2006, 13114, 1012, 2340, 2012, 2643, 1521, 1055, 2160, 1997, 2567, 2135, 2293, 2277, 1010, 23285, 8945, 7317, 5685, 13642, 1012, 1999, 4330, 3702, 1012, 2000, 12667, 2615, 2361, 2005, 2023, 3116, 1010, 2029, 2097, 3579, 2006, 2304, 2381, 3204, 1010, 11562, 2182, 1012, 3967, 13866, 2386, 3472, 3387, 14435, 7842, 4246, 2080, 2012, 1006, 3963, 2620, 1007, 4464, 2581, 1011, 6353, 22932, 2005, 2062, 18558, 1012, 2338, 6608, 2007, 11937, 25016, 6633, 9389, 11733, 1064, 1064, 5095, 1010, 13114, 1012, 2340, 1064, 1064, 1016, 1052, 1012, 1049, 1012, 2000, 1018, 1024, 2382, 1052, 1012, 1049, 1012, 1064, 1064, 21358, 3089, 1011, 16283, 2808, 1010, 9604, 1004, 3451, 2824, 1064, 1064, 2089, 3702, 7587, 8228, 4802, 11937, 25016, 6633, 9389, 11733, 1010, 1006, 15885, 1007, 1010, 2097, 3191, 2013, 2014, 2338, 1523, 2304, 7550, 5152, 17477, 1012, 1524, 11937, 25016, 6633, 1521, 1055, 2616, 2024, 1037, 10077, 1997, 5099, 6154, 1010, 6259, 2015, 1010, 17529, 29534, 1998, 16376, 3969, 1012, 2016, 2038, 4207, 2014, 2573, 2408, 1996, 2142, 2163, 1010, 3088, 1010, 2885, 1010, 1998, 2710, 1012, 2016, 4247, 2000, 2778, 4969, 1012, 2023, 2724, 1010, 2218, 2012, 21358, 3089, 1011, 16283, 1010, 26059, 1055, 1012, 3083, 13642, 1012, 1010, 2089, 3702, 1006, 16551, 3578, 1007, 1010, 2003, 2489, 1998, 2330, 2000, 1996, 2270, 1012, 11440, 2024, 6160, 1012, 1520, 11304, 6620, 1521, 2143, 11326, 1064, 1064, 5095, 1010, 13114, 1012, 2340, 1064, 1064, 4303, 2330, 1024, 1020, 1052, 1012, 1049, 1012, 1064, 11326, 4627, 1024, 1021, 1052, 1012, 1049, 1012, 1064, 1064, 2225, 2237, 2688, 1997, 3451, 2381, 1064, 1064, 2089, 3702, 2272, 1998, 2490, 1037, 28536, 2005, 2089, 3702, 1521, 1055, 2219, 2225, 2237, 2688, 1997, 3451, 2381, 2008, 2838, 1037, 2569, 11326, 1997, 1996, 2400, 1011, 3045, 4516, 1010, 1523, 11304, 6620, 1024, 1996, 3045, 4535, 1997, 4013, 11365, 2080, 2264, 3455, 1012, 1524, 1996, 11326, 2097, 2202, 2173, 2012, 1996, 2225, 2237, 2688, 1997, 3451, 2381, 1010, 9645, 1055, 1012, 4833, 13642, 1012, 1010, 2089, 3702, 1012, 4639, 9634, 2003, 2069, 1002, 1019, 1998, 2336, 1002, 1017, 1006, 11440, 1998, 12142, 5779, 2015, 2000, 1996, 2688, 2024, 3811, 6628, 1007, 1012, 3087, 2104, 1996, 2287, 1997, 2324, 2442, 2022, 5642, 2011, 2019, 4639, 1012, 16587, 7256, 4519, 1998, 2585, 4519, 2097, 2022, 2556, 2005, 1037, 6594, 1997, 1996, 2143, 1012, 4519, 1010, 5043, 3973, 1010, 4110, 2023, 2307, 6302, 1997, 1996, 4013, 11365, 2080, 2264, 11710, 3455, 2136, 2108, 11188, 2000, 1037, 5394, 1521, 1055, 6160, 2044, 2037, 2117, 1011, 2173, 3926, 2012, 1996, 2110, 2528, 2977, 1999, 2262, 1012, 2017, 2064, 2036, 2490, 1996, 2225, 2237, 2096, 12318, 4426, 2000, 19031, 7685, 1047, 28578, 2063, 2123, 16446, 2076, 1996, 2688, 1521, 1055, 2304, 2381, 3204, 1013, 2343, 1521, 1055, 2154, 19031, 7685, 1047, 28578, 2063, 2123, 4904, 3298, 1012, 2225, 2237, 4584, 2024, 2635, 4449, 2127, 9317, 1010, 13114, 1012, 2321, 1010, 2007, 1037, 6959, 3058, 2275, 2005, 5095, 1010, 13114, 1012, 2324, 1012, 1996, 3465, 1997, 12233, 2123, 16446, 1006, 20710, 2361, 9766, 1010, 13675, 21382, 2030, 14380, 3561, 1010, 1998, 7967, 28248, 1007, 2003, 1002, 2184, 2566, 6474, 1012, 3151, 19724, 2123, 16446, 2024, 1002, 1022, 2566, 6474, 1012, 3531, 3967, 1996, 2039, 18412, 2415, 1010, 9645, 1055, 1012, 4833, 13642, 1012, 1010, 2012, 1006, 3963, 2620, 1007, 4868, 2575, 1011, 25246, 2581, 2000, 2173, 2115, 2344, 1012, 19199, 2015, 1997, 3060, 2137, 7576, 1064, 1064, 6928, 1010, 13114, 1012, 2410, 1064, 1064, 2340, 1037, 1012, 1049, 1012, 1064, 1064, 13012, 2669, 2267, 3075, 1064, 1064, 2314, 7676, 3693, 13012, 2669, 2267, 11507, 4513, 2266, 5125, 23680, 18083, 2819, 2005, 1037, 6594, 2006, 1996, 2535, 4368, 3248, 1999, 2591, 16841, 1012, 7576, 2956, 1999, 1996, 8312, 1517, 2029, 2097, 2202, 2173, 2006, 13114, 1012, 2410, 2503, 1997, 1996, 3075, 1006, 2311, 1037, 1007, 2006, 1996, 3721, 1997, 13012, 2669, 2267, 1010, 2456, 1055, 1012, 4833, 13642, 1012, 1999, 2314, 7676, 1517, 2421, 9901, 6157, 1010, 3021, 5735, 1998, 7187, 4862, 1012, 2005, 2062, 18558, 1010, 3967, 2852, 1012, 2728, 6720, 2012, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 2668, 3778, 11326, 1064, 1064, 6928, 1010, 13114, 1012, 2410, 1064, 1064, 1017, 1052, 1012, 1049, 1012, 2000, 1019, 1052, 1012, 1049, 1012, 1064, 1064, 2089, 3702, 2270, 3075, 1064, 1064, 2089, 3702, 1996, 2089, 3702, 2270, 3075, 1010, 12606, 1055, 1012, 4833, 13642, 1012, 1010, 2097, 3677, 1037, 2668, 3778, 11326, 2006, 13114, 1012, 2410, 2503, 1997, 2282, 16798, 1012, 2005, 2062, 18558, 1010, 2655, 1006, 3963, 2620, 1007, 27810, 1011, 9176, 1012, 3060, 2137, 4528, 23591, 1064, 1064, 9317, 1010, 13114, 1012, 2321, 1064, 1064, 1020, 1024, 2382, 1052, 1012, 1049, 1012, 2000, 1021, 1024, 2382, 1052, 1012, 1049, 1012, 1064, 1064, 4330, 3702, 2270, 3075, 1064, 1064, 4330, 3702, 8439, 2304, 2381, 3204, 2007, 2019, 3944, 1997, 7760, 1998, 3441, 1997, 1996, 2345, 8345, 3182, 1997, 6383, 10823, 1012, 1010, 2164, 4962, 6243, 1010, 25685, 6229, 1010, 2852, 2098, 3660, 1998, 11668, 2000, 13947, 1010, 2426, 2060, 3060, 4841, 3950, 1999, 3190, 3122, 1998, 4307, 20973, 1012, 25685, 6229, 1521, 1055, 25864, 2003, 3344, 2041, 1997, 7031, 3379, 2277, 1997, 2643, 1999, 4828, 1999, 3190, 1999, 3982, 1012, 1064, 3190, 10969, 2023, 2724, 1010, 3591, 2011, 18573, 3901, 3958, 1998, 13723, 7658, 2696, 2243, 1010, 2097, 2202, 2173, 2012, 1996, 4330, 3702, 2270, 3075, 1010, 5174, 8945, 7317, 5685, 13642, 1012, 8819, 2003, 3223, 1012, 2336, 2104, 2385, 2442, 2022, 5642, 2011, 2019, 4639, 1012, 3696, 2039, 2011, 4214, 1996, 3075, 2012, 1006, 3963, 2620, 1007, 5139, 2581, 1011, 6421, 2683, 2509, 4654, 2102, 1012, 1018, 1012, 2304, 2158, 1521, 1055, 15251, 4827, 2265, 1064, 1064, 9432, 1010, 13114, 1012, 2385, 1064, 1064, 1021, 1052, 1012, 1049, 1012, 1064, 1064, 2358, 1012, 7327, 13837, 2401, 3583, 1064, 1064, 2089, 3702, 2007, 1996, 3125, 1997, 2437, 1996, 2451, 2062, 7965, 1010, 1996, 2089, 3702, 1011, 2241, 2304, 2158, 1521, 1055, 7339, 3029, 2003, 9936, 1037, 4827, 2265, 2005, 2035, 5535, 1010, 2247, 2007, 1037, 7965, 1998, 5053, 5049, 2005, 2308, 5535, 2871, 2000, 6535, 1012, 2023, 2724, 2097, 2202, 2173, 2012, 2358, 1012, 7327, 13837, 2401, 3583, 2006, 13114, 1012, 2385, 1012, 1010, 10212, 1055, 1012, 5893, 13642, 1012, 1999, 2089, 3702, 1012, 10584, 1999, 2119, 2824, 2097, 8676, 1997, 3060, 1011, 2137, 1998, 6696, 3633, 2013, 2089, 3702, 1998, 11463, 13278, 2380, 1012, 1996, 2740, 5049, 2097, 3579, 2006, 2129, 2092, 1996, 10832, 3138, 2729, 1997, 2037, 2740, 1012, 2027, 2097, 5254, 9440, 2008, 2027, 4521, 1998, 11110, 2027, 2079, 1010, 2004, 2092, 2004, 2831, 2055, 1996, 3893, 7729, 2027, 2031, 1999, 2166, 1012, 2489, 4013, 11365, 2080, 3545, 4171, 2154, 1064, 1064, 5095, 1010, 13114, 1012, 2324, 1064, 1064, 6098, 2335, 2241, 2006, 6134, 1064, 1064, 2089, 3702, 4800, 5311, 20688, 2311, 1064, 1064, 2089, 3702, 1996, 2352, 1997, 2089, 3702, 1010, 1996, 9747, 3192, 1521, 1055, 6540, 2622, 1010, 4013, 11365, 2080, 3545, 1010, 1057, 1012, 1055, 1012, 2924, 1998, 1052, 12273, 2924, 2097, 2022, 9936, 1037, 2489, 4171, 17463, 2154, 2006, 13114, 1012, 2324, 2012, 1996, 2089, 3702, 4800, 5311, 20688, 2311, 1010, 3263, 1055, 1012, 4833, 13642, 1012, 1999, 2089, 3702, 1012, 2489, 4171, 17463, 2578, 2097, 2022, 3024, 2000, 3633, 2007, 29373, 1997, 2053, 2062, 2084, 1002, 2382, 1010, 2199, 1998, 2000, 3911, 2007, 29373, 1997, 2053, 2062, 2084, 1002, 2753, 1010, 2199, 1012, 3696, 2039, 2005, 2019, 6098, 2011, 22042, 2182, 2030, 2655, 1006, 21036, 1007, 22898, 1011, 6185, 17914, 1012, 2005, 2062, 18558, 1010, 3967, 18899, 9747, 2012, 1024, 10373, 1030, 2742, 1012, 4012, 1010, 2030, 2655, 1006, 3963, 2620, 1007, 22904, 1011, 5989, 11387, 1012, 7965, 3268, 3043, 10516, 2465, 1064, 1064, 5095, 1010, 13114, 1012, 2324, 1064, 1064, 2184, 1037, 1012, 1049, 1012, 2000, 2260, 1052, 1012, 1049, 1012, 1064, 1064, 4013, 11365, 2080, 8785, 1998, 2671, 2914, 1064, 1064, 3224, 2380, 2144, 1996, 2707, 1997, 2418, 1010, 2110, 16360, 1012, 21135, 1523, 3782, 1524, 17939, 1006, 5504, 1007, 2038, 2042, 9936, 1037, 7058, 7965, 3268, 3043, 10516, 2465, 2012, 2536, 5269, 1012, 1996, 2279, 2465, 2097, 2202, 2173, 2012, 7610, 3736, 1010, 6564, 24096, 1059, 1012, 8573, 16428, 1012, 1999, 3224, 2380, 1012, 1996, 2279, 2028, 1010, 2006, 2233, 2324, 1010, 2097, 2036, 2202, 2173, 2012, 7610, 3736, 1006, 2168, 2051, 1007, 1012, 4013, 11365, 2080, 2225, 1999, 18573, 2097, 3677, 4280, 2006, 2258, 2321, 1010, 2089, 2322, 1998, 2238, 2459, 1012, 2005, 2062, 5246, 1998, 18558, 1010, 2030, 2000, 12667, 2615, 2361, 1010, 2655, 16360, 1012, 17939, 1521, 1055, 13794, 2326, 2436, 2012, 1006, 3963, 2620, 1007, 10332, 1011, 6694, 2030, 10373, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 6302, 1024, 16360, 1012, 21135, 1523, 3782, 1524, 17939, 1012, 1996, 5197, 1997, 3026, 3757, 1064, 1064, 9317, 1010, 13114, 1012, 2570, 1064, 1064, 25416, 21898, 8163, 2366, 2013, 2340, 1024, 2382, 1037, 1012, 1049, 1012, 2000, 2260, 1024, 2382, 1052, 1012, 1049, 1012, 1064, 5882, 4269, 2012, 1015, 1052, 1012, 1049, 1012, 1064, 1064, 2600, 1997, 5535, 7550, 2277, 1064, 1064, 2089, 3702, 4553, 1996, 5197, 1997, 1037, 3026, 3757, 2013, 1996, 13556, 10717, 5085, 1010, 3648, 1997, 6422, 2375, 1004, 25408, 2128, 7583, 3111, 2407, 1010, 4984, 2457, 1997, 5660, 2221, 1012, 2023, 2489, 2724, 2097, 2202, 2173, 2006, 13114, 1012, 2570, 2012, 2600, 1997, 5535, 7550, 2277, 1010, 7558, 2683, 7063, 2358, 1012, 1999, 2089, 3702, 1012, 3531, 12667, 2615, 2361, 2011, 13114, 1012, 2321, 2011, 10373, 2075, 10373, 1030, 2742, 1012, 4012, 2030, 2011, 4214, 1006, 3963, 2620, 1007, 29386, 1011, 5840, 2581, 2549, 4654, 2102, 1012, 4293, 2620, 1012, 3360, 2621, 22676, 3315, 1064, 1064, 4465, 1010, 13114, 1012, 2656, 1064, 1064, 4596, 1024, 1016, 1052, 1012, 1049, 1012, 1064, 4164, 1024, 1017, 1052, 1012, 1049, 1012, 1064, 1064, 3618, 3246, 7550, 16410, 1064, 1064, 2089, 3702, 2023, 3315, 2097, 2022, 2019, 2724, 1997, 7780, 1998, 2592, 3794, 2986, 2840, 1010, 4823, 1998, 1037, 8312, 1997, 1996, 1018, 1011, 1018, 1011, 1018, 2933, 2005, 1037, 2621, 3360, 6107, 22676, 2565, 6485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1037, 2307, 4512, 2003, 2411, 22395, 2011, 1037, 3722, 3160, 1998, 2467, 17999, 2011, 10628, 1012, 2428, 1010, 2009, 2987, 1521, 1056, 2031, 2000, 2022, 13769, 1012, 2009, 2064, 2022, 2242, 2066, 1024, 1523, 2079, 2017, 3335, 4855, 2613, 3776, 1029, 1524, 9340, 2356, 2033, 2008, 1012, 2502, 11576, 2378, 1521, 3066, 1012, 2009, 2347, 1521, 1056, 1996, 2034, 2051, 1006, 4496, 6414, 1996, 29087, 2051, 1007, 1045, 2018, 2042, 2356, 2138, 2044, 2322, 2086, 1997, 1037, 3144, 2476, 1517, 2151, 2476, 1517, 2009, 1521, 1055, 2025, 2691, 1006, 2030, 6047, 1029, 1007, 2000, 5308, 2039, 1998, 2681, 1996, 2449, 1997, 2115, 2219, 5285, 22753, 1012, 2005, 2070, 3114, 1010, 2174, 1010, 1996, 2126, 9340, 2356, 1010, 2007, 2014, 1999, 15549, 28032, 14547, 8061, 16544, 5490, 27020, 9072, 2105, 4208, 3239, 18510, 1010, 2081, 2033, 2113, 2008, 2016, 2001, 2428, 4699, 1999, 1996, 3437, 1012, 2030, 2672, 2009, 2001, 2138, 2016, 2001, 7079, 2033, 2005, 2026, 6040, 1012, 1523, 2748, 1010, 1524, 1045, 4914, 1012, 2059, 1045, 17747, 2026, 5505, 1011, 2083, 1011, 2026, 1011, 4451, 6028, 2000, 2358, 11263, 1998, 2191, 2469, 2014, 3160, 2347, 1521, 1056, 2074, 1037, 14571, 1012, 1523, 2339, 1029, 1524, 9340, 2356, 1010, 2153, 2007, 1996, 5490, 27020, 10536, 16544, 1012, 2053, 2028, 2052, 2412, 26960, 2033, 1997, 2108, 1037, 17543, 25789, 9609, 1006, 2348, 2009, 2515, 2614, 2066, 1037, 12090, 18901, 1007, 1012, 1045, 9544, 1055, 11802, 2243, 2000, 20066, 1012, 2043, 1045, 3046, 2000, 3073, 12369, 1010, 2026, 2568, 2411, 14523, 2000, 4297, 4221, 1012, 2174, 1010, 2004, 1045, 2699, 3241, 2055, 2026, 2166, 1999, 2613, 3776, 2007, 1996, 5377, 24191, 2015, 1010, 14849, 2075, 3006, 28892, 1010, 25198, 2135, 24949, 3006, 4013, 26745, 10074, 18926, 1010, 5437, 2100, 2482, 15671, 8583, 1997, 6090, 10732, 2050, 2974, 4740, 1010, 1998, 2113, 1011, 2009, 1011, 2035, 3071, 2015, 1010, 1045, 2145, 2481, 1521, 1056, 2735, 2216, 2046, 4997, 2015, 1999, 2026, 2568, 1012, 1045, 3866, 1996, 4119, 1998, 24842, 1997, 2009, 2035, 1529, 2130, 2043, 1045, 4066, 1997, 6283, 2009, 1012, 1045, 2079, 3335, 2026, 2476, 2004, 1037, 2613, 3776, 2658, 1010, 2021, 1045, 2079, 2025, 9038, 2975, 1012, 2008, 2001, 2467, 2026, 2933, 1517, 2322, 2086, 1999, 1998, 2059, 2041, 3031, 1996, 4857, 3256, 2005, 1996, 2279, 10990, 3127, 1012, 1045, 4914, 2035, 2023, 2000, 9340, 1012, 1523, 9616, 1029, 1524, 2016, 7968, 2135, 2356, 1012, 9340, 2003, 2028, 1997, 2216, 6047, 2111, 2040, 2987, 1521, 1056, 2031, 2000, 7887, 2265, 2009, 1012, 2016, 2036, 4282, 1996, 4489, 2090, 3722, 1998, 21934, 24759, 6553, 1998, 1996, 2373, 1999, 2054, 3658, 2090, 1012, 1045, 19837, 2008, 1999, 2014, 1012, 2054, 1045, 3335, 2087, 2055, 2166, 2044, 2613, 3776, 1019, 1012, 1996, 2769, 1045, 3335, 1996, 2769, 1012, 1045, 1521, 1049, 2025, 7727, 2000, 1996, 3815, 1997, 2769, 1010, 2021, 2738, 2000, 1996, 12598, 2389, 2126, 1045, 2071, 4089, 5468, 2054, 1045, 2245, 2001, 2026, 4276, 1517, 2011, 2026, 3222, 14148, 1012, 2023, 2003, 2367, 2084, 2129, 1037, 16183, 8486, 2098, 3237, 5761, 2014, 9430, 1012, 2009, 1521, 1055, 2130, 2367, 2005, 1037, 16183, 8486, 2098, 3237, 2007, 1037, 28900, 6781, 2138, 2216, 29563, 2024, 2025, 9352, 3687, 1006, 2156, 13448, 29563, 12800, 2263, 1007, 1012, 2009, 1521, 1055, 2062, 2066, 1037, 6167, 4842, 2030, 1037, 6536, 8033, 2030, 2019, 12564, 8033, 1006, 2069, 2625, 12564, 1007, 1012, 2054, 2003, 2027, 2360, 1029, 1043, 19563, 2618, 1011, 2030, 1011, 2566, 4509, 2003, 1996, 3976, 1011, 2000, 1011, 5271, 1997, 1996, 6167, 4842, 2088, 1029, 2009, 1521, 1055, 2036, 2025, 1996, 2168, 2004, 4855, 2808, 1998, 3015, 1010, 4092, 2824, 1010, 2547, 1013, 2143, 1013, 2557, 3065, 1010, 6040, 1998, 2051, 1012, 2065, 2017, 4965, 2026, 2338, 1010, 2005, 2742, 1006, 2307, 2801, 999, 4965, 1996, 2338, 1010, 2005, 2742, 1007, 1010, 1045, 2131, 3825, 3251, 2017, 3191, 2009, 2030, 2025, 2030, 3251, 2009, 7126, 2017, 2030, 2025, 1006, 2348, 2009, 2097, 2393, 2017, 2065, 2017, 2079, 3191, 2009, 1007, 1012, 2065, 2017, 2020, 2026, 7396, 1998, 1045, 19601, 2115, 8040, 7317, 13699, 2105, 2237, 1010, 5161, 2017, 2006, 2115, 9280, 2047, 2103, 1010, 1998, 2017, 3866, 2026, 2326, 2021, 2787, 2000, 2693, 2000, 6044, 1010, 2053, 3815, 1997, 1043, 19563, 3436, 2052, 2031, 3687, 2033, 1037, 3222, 1012, 2655, 2033, 1037, 16137, 11663, 2923, 1010, 2021, 1045, 4669, 2008, 2138, 2009, 2081, 2033, 24509, 2006, 2129, 1045, 2071, 2393, 2925, 7846, 2272, 2000, 2008, 7091, 2062, 10514, 14693, 12273, 14626, 1012, 2009, 2130, 2081, 2033, 17908, 2047, 2152, 1011, 6627, 21025, 2480, 15530, 2000, 5630, 3251, 2027, 2052, 2393, 2030, 7386, 1996, 2832, 1012, 1999, 2296, 2126, 2009, 3271, 2191, 2033, 2062, 8114, 1998, 1037, 2488, 2613, 3776, 2658, 1012, 2008, 1010, 1999, 2735, 1010, 2052, 7796, 2033, 2062, 6523, 7941, 2015, 1998, 1045, 2052, 2031, 2062, 2051, 2000, 2393, 7846, 2485, 2307, 11817, 2008, 2027, 2020, 3407, 2055, 1012, 1045, 1521, 1049, 2469, 2065, 1045, 2001, 2062, 12266, 1045, 2071, 2031, 2272, 2039, 2007, 2488, 3971, 2084, 3222, 2000, 5468, 2026, 12353, 1010, 8122, 1998, 5770, 2000, 7846, 1010, 2021, 2008, 2001, 2019, 3733, 2126, 2005, 2033, 1998, 1045, 2001, 2205, 4012, 24759, 10732, 3372, 2000, 2298, 2005, 2178, 1012, 1045, 3335, 2008, 3733, 21910, 1012, 1018, 1012, 1996, 2974, 2974, 2003, 2025, 4310, 2000, 2613, 3776, 2061, 2339, 2052, 1045, 3335, 2009, 1029, 2182, 1521, 1055, 1037, 3595, 2008, 2116, 2613, 3776, 21416, 18738, 2323, 2113, 1024, 2348, 1996, 2613, 3776, 9518, 3849, 3733, 2007, 2049, 2659, 8803, 1011, 2000, 1011, 4443, 1998, 2152, 7533, 1010, 2009, 2003, 2025, 2004, 3733, 2012, 2009, 3504, 1012, 9387, 1010, 2040, 2411, 2113, 1037, 2843, 2055, 2613, 3776, 2138, 2027, 4149, 2030, 2853, 1037, 2188, 2030, 2048, 1010, 2293, 1996, 2613, 3776, 4753, 1012, 21416, 18738, 1010, 2040, 2411, 2113, 1037, 2843, 2055, 2613, 3776, 2138, 2027, 4149, 2030, 2853, 1037, 2188, 2030, 2048, 1010, 4539, 1996, 2613, 3776, 3068, 2007, 4487, 13102, 18981, 11589, 3258, 3686, 8277, 1012, 2009, 2074, 2987, 1521, 1056, 4025, 2008, 8552, 2061, 2045, 2024, 5377, 4740, 2000, 3857, 5097, 1010, 11744, 2030, 5906, 2008, 2097, 3426, 1996, 2502, 2028, 1516, 1996, 2502, 20461, 1999, 1996, 3068, 2008, 2097, 7796, 25501, 1998, 17552, 1996, 3068, 8390, 15832, 1012, 13834, 2028, 1006, 2030, 2195, 1007, 2453, 1012, 9387, 2024, 6273, 1003, 2062, 3497, 2000, 15697, 1999, 2974, 9416, 2012, 1996, 2613, 3776, 3068, 2084, 2151, 2060, 3068, 1012, 14571, 1997, 4066, 10354, 18908, 2015, 1012, 3383, 1996, 2502, 23217, 2953, 2038, 2042, 2141, 2525, 2030, 2672, 1996, 7872, 3526, 3268, 2006, 2013, 1996, 17772, 2194, 2008, 2234, 2077, 1012, 4274, 16685, 2015, 2024, 24777, 2007, 1996, 22005, 2482, 15671, 8583, 1997, 2613, 3776, 2974, 4740, 1012, 2172, 2066, 2026, 4280, 1999, 5122, 12162, 6779, 1010, 1045, 2293, 1996, 8220, 2027, 2031, 4036, 2149, 1012, 1045, 3335, 5604, 1006, 1998, 8057, 2989, 2012, 1007, 2116, 1997, 2122, 4740, 1012, 2974, 2038, 5462, 2074, 10128, 19210, 18268, 2000, 2116, 6088, 1998, 22797, 1012, 2174, 1010, 1996, 2613, 3776, 9518, 2038, 2018, 2062, 2084, 2009, 1521, 1055, 3745, 1997, 2974, 4740, 2006, 2049, 2166, 1012, 2000, 5788, 2038, 2579, 6789, 2008, 2116, 2757, 6088, 3478, 2000, 5136, 1012, 4914, 2135, 1010, 1996, 2613, 3776, 3068, 2323, 2763, 5136, 2062, 6789, 1012, 2096, 3666, 2013, 1037, 28581, 2597, 2003, 5875, 1010, 1045, 3866, 25357, 2096, 1999, 1996, 19874, 1012, 2009, 2001, 4654, 26415, 15172, 1998, 1045, 3335, 2008, 1012, 1017, 1012, 1996, 3492, 3506, 1998, 5875, 5144, 2348, 3492, 3506, 1998, 8403, 4372, 21663, 5644, 2024, 3835, 1010, 2027, 2020, 2196, 1996, 2502, 4009, 2005, 2033, 1999, 2026, 2613, 3776, 2476, 1012, 1045, 2079, 3335, 2129, 3506, 2409, 2033, 2477, 2055, 2111, 2008, 13299, 2094, 2026, 10628, 1998, 3271, 2033, 7532, 2007, 2026, 7846, 1999, 13769, 1998, 9879, 3971, 1012, 2027, 3990, 15774, 2000, 13191, 2691, 11475, 7368, 2008, 2081, 2009, 6082, 2000, 2113, 2129, 2000, 14396, 1010, 2393, 1998, 5271, 1012, 2613, 3776, 8390, 2411, 5490, 13860, 4063, 2098, 6695, 2000, 2175, 2046, 7846, 1521, 5014, 1012, 2027, 2134, 1521, 1056, 2467, 5376, 2012, 1996, 3382, 2000, 2175, 2007, 2037, 7396, 2046, 1996, 2188, 1997, 2619, 2007, 3183, 2027, 2089, 2101, 13676, 1012, 1045, 3335, 1996, 6429, 3971, 2216, 29536, 6672, 9496, 10074, 7357, 3271, 2033, 2393, 2026, 7846, 1012, 2054, 2060, 9518, 4152, 2017, 2061, 2039, 2485, 1998, 3167, 1029, 2054, 2060, 9518, 3182, 2017, 1999, 2619, 1521, 1055, 3829, 2028, 3371, 1010, 1998, 2408, 1996, 18875, 2795, 2013, 2068, 2178, 1029, 3810, 2023, 29536, 6672, 9496, 10074, 4495, 2058, 2000, 2974, 1998, 3784, 3325, 2411, 2790, 4675, 1011, 29202, 1012, 2023, 2001, 2926, 2995, 2043, 15252, 3463, 1997, 4045, 2913, 2006, 4341, 1998, 19905, 1012, 1045, 3335, 1996, 5875, 5144, 2005, 2714, 4436, 1998, 2036, 2138, 2027, 2020, 5875, 1012, 4241, 2232, 1012, 1016, 1012, 1996, 3689, 2005, 2087, 2111, 1010, 2613, 3776, 2003, 2037, 2087, 3167, 1010, 2152, 7533, 12598, 1012, 1045, 3866, 1996, 4525, 3689, 1012, 1045, 2113, 2023, 2003, 2025, 2242, 2087, 2613, 3776, 8390, 5959, 2138, 2027, 2425, 2033, 2035, 1996, 2051, 1012, 1045, 1521, 1049, 2025, 3331, 2055, 8295, 2035, 2919, 3689, 1517, 1045, 3866, 1996, 2204, 1998, 1996, 2919, 2138, 1045, 2031, 1037, 3595, 1998, 20727, 10928, 2008, 2028, 1997, 2026, 3233, 1011, 2041, 4813, 2001, 5094, 2735, 2919, 3689, 2046, 2000, 3917, 3085, 1998, 2000, 3917, 3085, 2046, 2204, 1012, 18591, 2015, 1010, 5826, 1010, 2336, 1010, 5446, 1010, 18551, 1010, 7355, 1010, 18087, 2075, 14243, 1010, 12035, 1010, 9135, 2015, 1010, 12039, 1010, 8404, 1010, 20673, 2791, 1010, 10928, 1010, 27936, 1006, 2028, 1997, 2026, 20672, 1007, 1010, 5223, 1010, 2293, 1517, 2498, 2428, 21718, 2033, 2008, 2172, 1012, 1045, 3227, 2245, 1045, 2071, 2393, 1012, 1045, 2036, 3335, 1996, 3689, 1997, 2551, 2007, 2060, 2613, 3776, 8390, 1012, 2087, 1997, 1996, 8390, 2007, 3183, 1045, 2499, 2020, 2204, 1012, 2070, 2020, 2025, 1012, 2200, 2261, 2020, 9643, 1012, 1996, 2190, 3924, 2354, 2008, 2027, 2071, 2467, 2131, 2488, 1012, 2027, 2354, 2008, 2204, 4784, 2123, 1521, 1056, 2729, 2040, 2027, 4148, 2000, 1012, 2130, 2043, 2027, 2020, 3144, 2027, 2815, 8025, 2055, 2054, 2453, 2191, 2068, 2488, 1012, 2027, 2354, 2008, 2613, 3776, 2003, 5525, 1037, 6975, 3068, 2021, 2625, 5525, 1998, 2087, 6464, 1037, 12317, 2028, 1012, 1015, 1012, 1996, 2892, 1011, 8554, 19185, 2043, 2017, 2147, 1999, 1037, 2375, 3813, 2017, 3262, 2147, 2007, 2111, 1999, 1996, 2375, 9518, 1012, 2043, 2017, 2147, 2005, 1037, 2120, 3455, 2136, 1010, 2017, 3262, 2147, 2007, 2111, 1999, 1996, 2998, 3068, 1012, 1045, 3866, 3528, 1998, 6809, 1998, 9844, 8220, 2013, 3071, 1998, 7249, 1517, 1996, 2892, 1011, 8554, 12758, 1012, 2498, 19601, 2009, 2062, 2084, 2108, 1999, 1996, 2482, 2030, 3788, 2091, 1996, 2395, 2296, 2154, 2007, 2367, 7846, 2013, 2367, 6088, 1010, 8578, 1010, 4942, 1013, 4675, 1011, 8578, 1012, 2043, 1045, 2628, 2026, 10628, 2027, 2165, 2033, 2007, 2068, 2046, 2037, 3268, 1012, 1045, 3335, 2008, 1012, 1996, 8220, 2017, 4553, 2024, 26137, 2043, 2017, 2892, 1011, 8554, 14776, 1012, 1996, 8220, 2017, 3073, 2500, 2064, 3073, 23819, 2005, 2115, 7846, 1998, 6304, 1010, 2205, 1012, 6631, 20062, 2013, 2026, 2569, 3968, 3836, 7396, 2007, 2026, 4007, 3992, 7396, 1998, 2892, 1011, 8554, 19185, 2007, 8220, 2013, 2026, 2658, 8258, 1998, 4372, 20389, 8662, 7846, 10768, 28228, 28931, 2307, 4784, 1012, 2892, 1011, 8554, 19185, 2001, 2054, 1045, 3866, 1996, 2087, 2055, 2108, 1037, 2613, 3776, 2658, 1012, 1523, 2065, 2023, 2892, 1011, 8554, 19185, 2003, 2054, 2017, 3866, 1998, 3335, 1996, 2087, 2055, 2115, 2613, 3776, 2476, 1010, 2339, 2123, 1521, 1056, 2017, 2191, 2009, 1037, 9470, 1029, 1524, 9340, 2356, 2044, 2054, 1045, 1521, 1049, 2469, 2001, 2026, 16021, 5358, 6200, 1011, 12731, 4892, 3437, 2000, 2014, 3722, 3160, 1997, 1523, 9616, 1029, 1524, 9340, 13977, 1996, 2190, 2801, 1045, 2196, 2018, 1012, 2144, 2059, 1010, 2007, 2296, 2622, 2006, 2023, 2047, 1998, 6581, 6172, 1010, 2892, 1011, 8554, 19185, 2038, 2042, 1006, 1998, 2097, 3613, 2000, 2022, 1007, 1037, 9470, 1012, 1045, 2079, 3335, 2026, 2613, 3776, 2293, 2021, 1045, 2079, 2025, 9038, 2975, 2014, 1012, 2066, 2035, 2307, 6550, 1010, 1045, 1521, 2222, 3046, 2000, 2202, 2054, 1045, 3866, 2087, 2007, 2033, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 7483, 2001, 9145, 1012, 1045, 1005, 1049, 4340, 2000, 2031, 1037, 2488, 2154, 1012, 2004, 1996, 2420, 4982, 16176, 1998, 16676, 2477, 2012, 14124, 20934, 16515, 2707, 10808, 2039, 2004, 2092, 1012, 2057, 2131, 3902, 3771, 2076, 1996, 3500, 1998, 2621, 1010, 1998, 2007, 2008, 3310, 1037, 2878, 2047, 7170, 1997, 7860, 1012, 2057, 1005, 2310, 2288, 1037, 7199, 2402, 3626, 1012, 3100, 1010, 2027, 1005, 2128, 2665, 2004, 10957, 5568, 1012, 2043, 2057, 2707, 2893, 5697, 1010, 2027, 2031, 1037, 11765, 2000, 6634, 1012, 2049, 2524, 2025, 2000, 2131, 3236, 2039, 1999, 2008, 3110, 1012, 1996, 2943, 2008, 20626, 2017, 2471, 2467, 2038, 2019, 3466, 2006, 2017, 3251, 2017, 2066, 2009, 2030, 2025, 1012, 1045, 3046, 2428, 2524, 2025, 2000, 2292, 1996, 2477, 2105, 2033, 2131, 2033, 2091, 1012, 1045, 4929, 19688, 2015, 1998, 13016, 2015, 2000, 2393, 2033, 5383, 2026, 3167, 2943, 1998, 2562, 2026, 8740, 7277, 1000, 3093, 1000, 2004, 18401, 7777, 2000, 2655, 2068, 2357, 20546, 1012, 2823, 2009, 2573, 1012, 2823, 2049, 2025, 2061, 4621, 1012, 2049, 3697, 2823, 2000, 2202, 1037, 2784, 3052, 1998, 3342, 2008, 2049, 2025, 1996, 2203, 1997, 1996, 2088, 1012, 2477, 2175, 3308, 1010, 2021, 2065, 2017, 5047, 2068, 12885, 1010, 1037, 2843, 1997, 2335, 2477, 2064, 2175, 2172, 5744, 2121, 1012, 6368, 1010, 1045, 1005, 2310, 5159, 1010, 2024, 2788, 2062, 4824, 1998, 5776, 2065, 2017, 10639, 2007, 2068, 1010, 1998, 2065, 2017, 2064, 2562, 1996, 2298, 1997, 7404, 2125, 1997, 2115, 2227, 1012, 1997, 2607, 1010, 1996, 2126, 2026, 11190, 2953, 11451, 10509, 2036, 3084, 1037, 4489, 1012, 2043, 3071, 2842, 2003, 1999, 5325, 5549, 1010, 2049, 2524, 2000, 2994, 5475, 1012, 2049, 3697, 2000, 2131, 2111, 2000, 2136, 6198, 2007, 2017, 1012, 2049, 3697, 2000, 2131, 2505, 2589, 1012, 2043, 3071, 2003, 2061, 4208, 2006, 2037, 2219, 6634, 2027, 2064, 1005, 1056, 2156, 1996, 2088, 2105, 2068, 1010, 2092, 1010, 2027, 2644, 2725, 1996, 26785, 9623, 5649, 2477, 2066, 4518, 2075, 1010, 2136, 21398, 1010, 1998, 5505, 1012, 1045, 12075, 10497, 2651, 1010, 2029, 2965, 2477, 2097, 2763, 2693, 2012, 1037, 12430, 6393, 2005, 2033, 1012, 1045, 2123, 1005, 1056, 2568, 2009, 1010, 9826, 1012, 2097, 1045, 3335, 2216, 4469, 2093, 7251, 1999, 2026, 2930, 1029, 1045, 4797, 2009, 1012, 2057, 2031, 2000, 2022, 5667, 5697, 2005, 3071, 2000, 2031, 1037, 2440, 2930, 1012, 2256, 4825, 4272, 3998, 1012, 2065, 2057, 2024, 2008, 5697, 1010, 1045, 1005, 2222, 2031, 2060, 2477, 2000, 4737, 2055, 1012, 2049, 3835, 1010, 2205, 1010, 2138, 2008, 4469, 2978, 1997, 24405, 9354, 2282, 3957, 2033, 1037, 3382, 2000, 2393, 2500, 2041, 1010, 2672, 2191, 2477, 1037, 2210, 6082, 2084, 2027, 2024, 2012, 1996, 2617, 1012, 1045, 1005, 1049, 2667, 2200, 2524, 2000, 3342, 2008, 2007, 1996, 2502, 11938, 2005, 2149, 8455, 1006, 2358, 1012, 6986, 1005, 1055, 1010, 25022, 15305, 1010, 2388, 1005, 1055, 2154, 1007, 2026, 3626, 2003, 2183, 2000, 2022, 2404, 2000, 1996, 3231, 1012, 1045, 1005, 1049, 1037, 3026, 3626, 2266, 1012, 1045, 2342, 2000, 2022, 2045, 2005, 2068, 1012, 1045, 2342, 2000, 2393, 2068, 1010, 2000, 2507, 2068, 1996, 5906, 2027, 2342, 2000, 9510, 1012, 2138, 9826, 1010, 2065, 2027, 2123, 1005, 1056, 1010, 1045, 9015, 2205, 1012, 1045, 1005, 2310, 4738, 1037, 2843, 1997, 2256, 3626, 1012, 1045, 2215, 2068, 2000, 2022, 2583, 2000, 2224, 1996, 5906, 1045, 2507, 2068, 2000, 2022, 3407, 1010, 2524, 1010, 8114, 3667, 2040, 2191, 1037, 2843, 1997, 2769, 1998, 4009, 6368, 2046, 1996, 3573, 1012, 1045, 3246, 1045, 2064, 2079, 2008, 1012, 1999, 2060, 2739, 1010, 1045, 2572, 2383, 1037, 6881, 2147, 2733, 2023, 2746, 2733, 2138, 2057, 2024, 4439, 2039, 2000, 5111, 2103, 9587, 2000, 2175, 2156, 9734, 2014, 5831, 2290, 1999, 4164, 1012, 1045, 1005, 1049, 2559, 2830, 2000, 2009, 1012, 1037, 3232, 1997, 2420, 2125, 2007, 1996, 3057, 2097, 2022, 1037, 2204, 2051, 1012, 9062, 2003, 2746, 2007, 2149, 1010, 2061, 2057, 1005, 2222, 2031, 1037, 3835, 2051, 2007, 2014, 1012, 2096, 2057, 1005, 2128, 2006, 2256, 2126, 2188, 2057, 1005, 2128, 2183, 2000, 2644, 2125, 1999, 4937, 1005, 1055, 2103, 2000, 2360, 7592, 2000, 2014, 1998, 5247, 2070, 2051, 2007, 2014, 1010, 2144, 2016, 1005, 1055, 3048, 1999, 1037, 3232, 1997, 3134, 1012, 2672, 2279, 2733, 1012, 1045, 2228, 2279, 2733, 1012, 2009, 1005, 2222, 2022, 3835, 2000, 2156, 2014, 1012, 2057, 2036, 2031, 1037, 5592, 8196, 2000, 12296, 1010, 2029, 2001, 1037, 2200, 12382, 9805, 2571, 5592, 1010, 1998, 1045, 1005, 1049, 2559, 2830, 2000, 5938, 2009, 1012, 2009, 1005, 2222, 2022, 3835, 2000, 2031, 3229, 2000, 1037, 21785, 2008, 3475, 1005, 1056, 9957, 1998, 7015, 1012, 4092, 1997, 2808, 1010, 1045, 2001, 2559, 2012, 2026, 15475, 1998, 1045, 3651, 1045, 2763, 2342, 2000, 2079, 1037, 12731, 3363, 1997, 2068, 1012, 1045, 2031, 1037, 2843, 1997, 2808, 1998, 2057, 16222, 15549, 2890, 2068, 2012, 2019, 8598, 2075, 3446, 1012, 2057, 1005, 2310, 5407, 2055, 2702, 2808, 1999, 1996, 2197, 2733, 2894, 1012, 1045, 2342, 2047, 15475, 1998, 1045, 2123, 1005, 1056, 2031, 5973, 2000, 2404, 2068, 1012, 1999, 2488, 2739, 2008, 1005, 1055, 3141, 1010, 1045, 2228, 9808, 29109, 4140, 2003, 3228, 2039, 2014, 2793, 1012, 2057, 5720, 2055, 2009, 7483, 1998, 2049, 12476, 1010, 2138, 2008, 2097, 2507, 2149, 1037, 2210, 2062, 24405, 9354, 2282, 1012, 2009, 2036, 3957, 2033, 1996, 4495, 2000, 2079, 2070, 2172, 2734, 4373, 24388, 2075, 1999, 1996, 2160, 1012, 2036, 1010, 2062, 2282, 2005, 2808, 16001, 6961, 1012, 2256, 2808, 16001, 2546, 2007, 14318, 2808, 2006, 2009, 2003, 2058, 12314, 2075, 2085, 1010, 1998, 1045, 2342, 1037, 7046, 2028, 1012, 2090, 17834, 9148, 10649, 1998, 1045, 1010, 2057, 1005, 2310, 2288, 3243, 1037, 3074, 2318, 1012, 1045, 2036, 2342, 2000, 3191, 2068, 1012, 1045, 1005, 2310, 2288, 1037, 2261, 1045, 1005, 2310, 3191, 3104, 2000, 3104, 1010, 2021, 2087, 1997, 2068, 1045, 4139, 2041, 2004, 1045, 2342, 2068, 1010, 2029, 2003, 2025, 2004, 6179, 1012, 1045, 1005, 1040, 2738, 2113, 2054, 1005, 1055, 1999, 2035, 1997, 2068, 1010, 2009, 3084, 2470, 2175, 2172, 5514, 1012, 2009, 2036, 3084, 2060, 2147, 2175, 2172, 5514, 1012, 1045, 1005, 2310, 2288, 1037, 2862, 2176, 2111, 2146, 1997, 17489, 6093, 1045, 2342, 2000, 3459, 1012, 2026, 2862, 1997, 6965, 24501, 26029, 5332, 14454, 7616, 2003, 3652, 1012, 2057, 1005, 2310, 2042, 2559, 2012, 6246, 2358, 6820, 19159, 1996, 25248, 1010, 3225, 1996, 15536, 16665, 7886, 1998, 9402, 2828, 4280, 2005, 4083, 5682, 1012, 2057, 2036, 2031, 2000, 2707, 7411, 3014, 5090, 1010, 2061, 2008, 2057, 2035, 2113, 2054, 2057, 1005, 2128, 2551, 2005, 1012, 1045, 1005, 2310, 2589, 1996, 2470, 1998, 2049, 2559, 2066, 2241, 2006, 2087, 25248, 5090, 1045, 1005, 1049, 2471, 2117, 3014, 1012, 1045, 1005, 1049, 1037, 2843, 8736, 2247, 2084, 1045, 2245, 1045, 2001, 1012, 2145, 1010, 1045, 2031, 1037, 2146, 2126, 2000, 2175, 1012, 2057, 1005, 2128, 3241, 2006, 5583, 7231, 2057, 1005, 2128, 2183, 2000, 2707, 1996, 2880, 2095, 1998, 1037, 2154, 2832, 2005, 1996, 25248, 24071, 1010, 2061, 2057, 2064, 5337, 4697, 2008, 2205, 1012, 1045, 1005, 1049, 2025, 2205, 2521, 2013, 3352, 2019, 2880, 11721, 19418, 2098, 3653, 27870, 4757, 1012, 2049, 10990, 1012, 1045, 2036, 2031, 1037, 2843, 1997, 2147, 2000, 2079, 2004, 2521, 2004, 11750, 1998, 4083, 3632, 1010, 1998, 1045, 2113, 2009, 1012, 1045, 2031, 2070, 2814, 2040, 2024, 2559, 2000, 2131, 2362, 1998, 1000, 9530, 25243, 28017, 1000, 2004, 2027, 8295, 2135, 2655, 2009, 1012, 1045, 2031, 2053, 3291, 2551, 2007, 14617, 2648, 2026, 25248, 1010, 2823, 2049, 1037, 3052, 1997, 4840, 2250, 1012, 1997, 2607, 1010, 2045, 2024, 2060, 2111, 2040, 2024, 4083, 2055, 2054, 1045, 2079, 1010, 1998, 2008, 1005, 1055, 2204, 2205, 1012, 2009, 3957, 2068, 2019, 4495, 2000, 2298, 2503, 1996, 12560, 15536, 16665, 2078, 2568, 1998, 1996, 2568, 1997, 2026, 6259, 2155, 1012, 1045, 2228, 2045, 1005, 1055, 2036, 1037, 17464, 2047, 25248, 4018, 2041, 2045, 1010, 1998, 1045, 1005, 1049, 2559, 2830, 2000, 3773, 2129, 2008, 3632, 1012, 1051, 14083, 5400, 2003, 2471, 2588, 2033, 1010, 1998, 1045, 2031, 2000, 2933, 8887, 2005, 2009, 1012, 1045, 2453, 2941, 2022, 2583, 2000, 2079, 2023, 2028, 19350, 1010, 2029, 1045, 2572, 2559, 2830, 2000, 1012, 1996, 3467, 2706, 2024, 3697, 2138, 2057, 2064, 1005, 1056, 5247, 2004, 2172, 2051, 2648, 2004, 2057, 2066, 1012, 1045, 1005, 1049, 2559, 2830, 2000, 2893, 2067, 1999, 3543, 2007, 1996, 3011, 2105, 2033, 1010, 2009, 3084, 2033, 2514, 2062, 16764, 1012, 2648, 1997, 1996, 17489, 6093, 1998, 6297, 2147, 1010, 1045, 1005, 1049, 4083, 7415, 9541, 2157, 2085, 1012, 2092, 1010, 1996, 24078, 1997, 2009, 1012, 2049, 2019, 5875, 2433, 1997, 6297, 10419, 1010, 1998, 1045, 2228, 2256, 2177, 2064, 5770, 2013, 2009, 2065, 2057, 2224, 2009, 1999, 1996, 2157, 2126, 1012, 18401, 2038, 2579, 1037, 2613, 12342, 2000, 27849, 2147, 1010, 1998, 1045, 1005, 1049, 2738, 10514, 18098, 5084, 2000, 2156, 2014, 24970, 2989, 1999, 27849, 2964, 1012, 1045, 2245, 2009, 2052, 2022, 9808, 29109, 4140, 2008, 3062, 2046, 27849, 2964, 1998, 3829, 6965, 2075, 1012, 5064, 1010, 2295, 1010, 1045, 2514, 2066, 1045, 5807, 1005, 1056, 2022, 7135, 1012, 18401, 2003, 1037, 2643, 5660, 1010, 1998, 2016, 3305, 1996, 5197, 1998, 5053, 1997, 17561, 1012, 2016, 1005, 1055, 2467, 2018, 1037, 14085, 8787, 6260, 2875, 8907, 1012, 2049, 2204, 2000, 2156, 2014, 8851, 11828, 1037, 2112, 1997, 1996, 7477, 2016, 7459, 1012, 1045, 2228, 2823, 2016, 4152, 10206, 2138, 2045, 2024, 2477, 2016, 2987, 1005, 1056, 8100, 24970, 2012, 1010, 1998, 2008, 3084, 2014, 2514, 2066, 2016, 1005, 1055, 2369, 1012, 1045, 2562, 2667, 2000, 17894, 2588, 2014, 2008, 2016, 4324, 2841, 2000, 1037, 2524, 3115, 1010, 3773, 2004, 17834, 9148, 10649, 1998, 1045, 2031, 2042, 12560, 2005, 1037, 2172, 2936, 2051, 1012, 2009, 3138, 1037, 2843, 1997, 2051, 1998, 3579, 2000, 4553, 2129, 2000, 2491, 2115, 2943, 1998, 1996, 19320, 2105, 2017, 1012, 3109, 1010, 1045, 1005, 1049, 2145, 2025, 2307, 2012, 2009, 2823, 1012, 1999, 1037, 2491, 4292, 1010, 3398, 1045, 1005, 1049, 12476, 1010, 2021, 2404, 2033, 1999, 1037, 6742, 4292, 1998, 1045, 5998, 2296, 2085, 1998, 2153, 1012, 27849, 2964, 2097, 2022, 2307, 2005, 2014, 1012, 2197, 2305, 2016, 2081, 2033, 2019, 1999, 25608, 3508, 2005, 1037, 14978, 1998, 2016, 2025, 2069, 6573, 1996, 14978, 2041, 1010, 2021, 2404, 2033, 2000, 3637, 2077, 3157, 1006, 1037, 2379, 17727, 15094, 13464, 2302, 4319, 4726, 2033, 1007, 1998, 1045, 7771, 1037, 5024, 2340, 2847, 1012, 2049, 8052, 1012, 2348, 1010, 2429, 2000, 2068, 1010, 2043, 1045, 2253, 2000, 2793, 1045, 2001, 3294, 4297, 11631, 7869, 3372, 1010, 1998, 3053, 2852, 13669, 2075, 2006, 2870, 1010, 2061, 2672, 1010, 2017, 2243, 19779, 1010, 5549, 8156, 1999, 3232, 1997, 2216, 17561, 1010, 2021, 4728, 2016, 2106, 1037, 2986, 3105, 1012, 9808, 29109, 4140, 2018, 2014, 5798, 7483, 1012, 2057, 2288, 2014, 1037, 2275, 1997, 29161, 11115, 1012, 1045, 2228, 2016, 1005, 2222, 2428, 5959, 2478, 2068, 1012, 1045, 2298, 2830, 2000, 3773, 2014, 2424, 2242, 2016, 2428, 24970, 2015, 2012, 2205, 1012, 1045, 2215, 2000, 2156, 3071, 1999, 2256, 2177, 9510, 1010, 1998, 1045, 2228, 2023, 2089, 2022, 2014, 3329, 12640, 2046, 1996, 3218, 1012, 2004, 2005, 2870, 1010, 1045, 2113, 2073, 1045, 2342, 2000, 2175, 1998, 2054, 1045, 2342, 2000, 2079, 1012, 6854, 1010, 2049, 7249, 1012, 2021, 1045, 2228, 2065, 1045, 4133, 2091, 1998, 2147, 2041, 1037, 6939, 2078, 2005, 2870, 1010, 1037, 6134, 1997, 2913, 1010, 2026, 2166, 2097, 2022, 6082, 1012, 1045, 3191, 2855, 1012, 1045, 16888, 2092, 1010, 2061, 1045, 2228, 1045, 2064, 6133, 1012, 1996, 7577, 1010, 2005, 2033, 1010, 2097, 2022, 22778, 2035, 2023, 2047, 3716, 2007, 6259, 3930, 1012, 2049, 2006, 2008, 3602, 2008, 1045, 2215, 2000, 16519, 1012, 2017, 2156, 1010, 2823, 1045, 2228, 2057, 2123, 1005, 1056, 3477, 2205, 2172, 3086, 2000, 2027, 2126, 2057, 2024, 1010, 2129, 2057, 2689, 1998, 2129, 2057, 4982, 1012, 1045, 1005, 1049, 2428, 5204, 1997, 2009, 1012, 1045, 2228, 2112, 1997, 2008, 2038, 2000, 2079, 2007, 1996, 2755, 2008, 2011, 1996, 2051, 1045, 2234, 2067, 2000, 18401, 1010, 1045, 2001, 1999, 1037, 2919, 2173, 1012, 1045, 2018, 2081, 22215, 2000, 2689, 2870, 1998, 1045, 2018, 1012, 1012, 1012, 2021, 2009, 2347, 1005, 1056, 1999, 1996, 2126, 1045, 2359, 1012, 1045, 2018, 2292, 2870, 2091, 1012, 2144, 2059, 1010, 1999, 1996, 2197, 2176, 2086, 1010, 1045, 2228, 1045, 1005, 2310, 2018, 1037, 2843, 1997, 2051, 2000, 2228, 2055, 2040, 1045, 2572, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 14405, 7875, 8557, 2003, 2019, 6544, 1011, 6905, 28283, 22787, 1012, 2009, 2573, 2011, 10851, 1996, 12554, 1997, 6544, 1010, 4786, 16010, 2217, 3896, 1006, 1041, 2290, 1010, 24780, 1010, 6314, 4308, 1007, 2043, 2130, 1037, 2235, 3815, 1997, 6544, 2003, 10202, 1012, 2064, 1045, 2344, 14405, 7875, 8557, 3784, 14405, 7875, 8557, 2000, 4965, 3784, 25022, 21572, 4319, 23438, 25022, 21572, 10258, 11636, 6305, 2378, 14833, 21281, 21202, 2063, 4319, 8290, 25022, 21572, 10105, 4319, 2073, 2064, 1045, 4965, 27829, 8490, 2527, 1999, 7598, 1012, 5622, 11493, 7361, 15928, 5443, 27838, 3367, 15928, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 3830, 25022, 21572, 23564, 2532, 21031, 2595, 4319, 10266, 2054, 2003, 1996, 4319, 25022, 21572, 3207, 2595, 2109, 2005, 4372, 7911, 18098, 4014, 5443, 5622, 11493, 7361, 15928, 5443, 8223, 11514, 15928, 16012, 6914, 3688, 2005, 3635, 3279, 1012, 20704, 13390, 5339, 8648, 2239, 4003, 25022, 21572, 3207, 2595, 4319, 8648, 2239, 20704, 13390, 5339, 4012, 8648, 5644, 2344, 14405, 7875, 8557, 3784, 2710, 14405, 7875, 8557, 2866, 3784, 2064, 2017, 4965, 27829, 8490, 2527, 2058, 1996, 4675, 1999, 2660, 1012, 14405, 7875, 8557, 4965, 3784, 3163, 4965, 14405, 7875, 8557, 3784, 2866, 2064, 2017, 2344, 14405, 7875, 8557, 3784, 25022, 21572, 15907, 3976, 8714, 4319, 1012, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 10266, 5939, 7770, 4747, 4965, 14405, 7875, 8557, 17596, 3784, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 2035, 24395, 2073, 2000, 4965, 14405, 7875, 8557, 3784, 16012, 23737, 2382, 2154, 3635, 3279, 1012, 2064, 2017, 4965, 14405, 7875, 8557, 3784, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 7337, 25022, 21572, 10258, 11636, 6305, 2378, 5850, 20704, 13390, 5339, 8648, 2239, 3749, 25022, 21572, 4319, 4668, 1012, 2073, 2064, 1045, 4965, 27829, 8490, 2527, 17596, 20704, 13390, 5339, 8648, 5644, 2128, 20179, 2015, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 10266, 4182, 2491, 25022, 21572, 10258, 11636, 6305, 2378, 3239, 9010, 4319, 10266, 1012, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 6134, 14405, 7875, 8557, 3784, 2710, 14405, 7875, 8557, 3784, 2344, 25022, 21572, 10258, 11636, 6305, 2378, 17996, 4319, 3231, 8223, 11514, 15928, 9998, 4270, 5443, 5622, 11493, 7361, 15928, 9998, 2075, 1012, 12391, 14405, 7875, 8557, 3784, 2073, 2064, 1045, 4965, 27829, 8490, 2527, 2866, 29533, 2527, 2595, 5777, 17357, 2073, 2000, 4965, 14405, 7875, 8557, 1999, 2710, 5622, 11493, 7361, 15928, 2322, 5443, 2871, 11460, 25022, 21572, 20303, 4319, 10266, 4965, 12391, 14405, 7875, 8557, 3784, 1012, 4965, 14405, 7875, 8557, 3784, 2710, 4965, 14405, 7875, 8557, 3784, 2660, 2073, 2000, 4965, 14405, 7875, 8557, 2710, 2344, 14405, 7875, 8557, 3784, 2710, 2489, 20704, 13390, 5339, 8648, 2239, 1012, 25022, 21572, 10258, 11636, 6305, 2378, 8246, 4319, 3231, 25022, 21572, 4319, 26780, 8290, 29533, 2527, 2595, 1998, 5777, 15345, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 2895, 4965, 14405, 7875, 8557, 3784, 2710, 1012, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 3594, 2073, 2064, 1045, 4965, 2613, 27829, 8490, 2527, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 13004, 25022, 21572, 1998, 4319, 2465, 1043, 2721, 2595, 2891, 19864, 2243, 4179, 20704, 13390, 5339, 8648, 5644, 14405, 7875, 8557, 5309, 3784, 1012, 4965, 14405, 7875, 8557, 3784, 2710, 2073, 2000, 4965, 14405, 7875, 8557, 2710, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 2833, 10266, 14405, 7875, 8557, 4965, 3784, 2660, 1012, 20704, 13390, 5339, 10995, 8648, 2239, 2064, 1045, 4965, 14405, 7875, 8557, 3784, 14405, 7875, 2271, 2322, 24798, 1002, 3770, 1012, 5354, 1011, 1002, 1014, 1012, 3429, 2566, 17357, 4965, 14405, 7875, 8557, 2710, 4965, 14405, 7875, 8557, 3784, 10036, 1012, 29533, 2527, 2595, 2423, 11460, 5777, 17357, 4965, 14405, 7875, 8557, 2710, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 4003, 25022, 21572, 20303, 4319, 2378, 14876, 6508, 2015, 25022, 21572, 10258, 11636, 6305, 2378, 4319, 23438, 1012, 25022, 21572, 10258, 11636, 6305, 2378, 2060, 5850, 1999, 2168, 2465, 25022, 21572, 10258, 11636, 6305, 2378, 2062, 4319, 16234, 17722, 2064, 1045, 4965, 27829, 8490, 2527, 2058, 1996, 4675, 1999, 1996, 2866, 1012, 12391, 4435, 1997, 2079, 18037, 5666, 20464, 3170, 2833, 1998, 4319, 10266, 2007, 25022, 21572, 1012, 14405, 7875, 2271, 2871, 15345, 1002, 18540, 1011, 1002, 15376, 2566, 17357, 14405, 7875, 2271, 3438, 15345, 1002, 22060, 1011, 1002, 17528, 2566, 17357, 14405, 7875, 2271, 3438, 15345, 1002, 22060, 1011, 1002, 17528, 2566, 17357, 14405, 7875, 2271, 3938, 15345, 1002, 4008, 2629, 1011, 1002, 23988, 2566, 17357, 2344, 14405, 7875, 8557, 3784, 2710, 14405, 7875, 8557, 27159, 2866, 14405, 7875, 8557, 2866, 3784, 14405, 7875, 8557, 2344, 3784, 14405, 7875, 8557, 3465, 2866, 3465, 1997, 12391, 14405, 7875, 8557, 14405, 7875, 8557, 15843, 2866, 14405, 7875, 8557, 27159, 2800, 2866, 9998, 4270, 2846, 2005, 10488, 3401, 13876, 14405, 7875, 8557, 15843, 2866, 9343, 24203, 22943, 1999, 3290, 14405, 7875, 8557, 17596, 2866, 12391, 1062, 4492, 7895, 2595, 6949, 2800, 14405, 7875, 8557, 3465, 2866, 2003, 10488, 3401, 13876, 4621, 2005, 3935, 21901, 1005, 1055, 1012, 8648, 2239, 2005, 10488, 3401, 13876, 12391, 1062, 4492, 7895, 2595, 6949, 1019, 2290, 4965, 25022, 21572, 10258, 11636, 6305, 2378, 3290, 2073, 2000, 4965, 14405, 7875, 8557, 2710, 4965, 12391, 1062, 4492, 7895, 2595, 6949, 4965, 25022, 21572, 1999, 3290, 1012, 14405, 7875, 8557, 13341, 2866, 10488, 3401, 13876, 17596, 2005, 28767, 2073, 2000, 4965, 14405, 7875, 8557, 1999, 2710, 12391, 1062, 4492, 7895, 2595, 6949, 2073, 2064, 1045, 2344, 1062, 4492, 7895, 2595, 6949, 1012, 4965, 24203, 22943, 1999, 3290, 2190, 3976, 2005, 10488, 3401, 13876, 1062, 4492, 7895, 2595, 6949, 3784, 1062, 4492, 7895, 2595, 6949, 3976, 2710, 4319, 13882, 2489, 7829, 1012, 14405, 7875, 8557, 2660, 3465, 14405, 7875, 8557, 3976, 2149, 14405, 7875, 8557, 9998, 4270, 2866, 1062, 4492, 7895, 2595, 6949, 2344, 3784, 14405, 7875, 8557, 3465, 2866, 2005, 11254, 2102, 3976, 2634, 14405, 7875, 8557, 27159, 2800, 2866, 14405, 7875, 8557, 3976, 2660, 1012, 14405, 7875, 2271, 1019, 24798, 1002, 5354, 1012, 6353, 1011, 1002, 1014, 1012, 5585, 2566, 17357, 2005, 11254, 2102, 13855, 3976, 1999, 2634, 2054, 2003, 1996, 9998, 4270, 2005, 10488, 3401, 13876, 2344, 1062, 4492, 7895, 2595, 6949, 14405, 7875, 8557, 27159, 2866, 4830, 6873, 2595, 20624, 2638, 5443, 3081, 17643, 1012, 3671, 9998, 4270, 2005, 10488, 3401, 13876, 14405, 7875, 8557, 2866, 4965, 14405, 7875, 8557, 3976, 2866, 3465, 1997, 12391, 14405, 7875, 8557, 2064, 1057, 4965, 1062, 4492, 7895, 2595, 6949, 2058, 1996, 4675, 1012, 2005, 11254, 2102, 3976, 2634, 4965, 1062, 4492, 7895, 2595, 1019, 6949, 3784, 14405, 7875, 8557, 2866, 3784, 10488, 3401, 13876, 9998, 4270, 2005, 28767, 14405, 7875, 8557, 1999, 2866, 3976, 2005, 10488, 3401, 13876, 1012, 4965, 10036, 1062, 4492, 7895, 2595, 6949, 1062, 4492, 7895, 2595, 6949, 3784, 2710, 25022, 21572, 5369, 22799, 18979, 13855, 3022, 3290, 2005, 11254, 2102, 2322, 3976, 1999, 2634, 9998, 4270, 2005, 10488, 3401, 13876, 4965, 1062, 4492, 7895, 2595, 6949, 12391, 14405, 7875, 8557, 3465, 1012, 14405, 7875, 2271, 1999, 1055, 1012, 1039, 1012, 14405, 7875, 2271, 1999, 5242, 14405, 7875, 2271, 1999, 2899, 14405, 7875, 2271, 1999, 2016, 13944, 11715, 14405, 7875, 2271, 1999, 27496, 24991, 14405, 7875, 2271, 1999, 11265, 2615, 1012, 2128, 5017, 2239, 2321, 11460, 2005, 10089, 3647, 3367, 2609, 2005, 3081, 17643, 3784, 2064, 2128, 5017, 2239, 2022, 2109, 2005, 10089, 14405, 7875, 8557, 4278, 24798, 1012, 2128, 5017, 2239, 1998, 1047, 7811, 7361, 2378, 2005, 10089, 8915, 6494, 5666, 20464, 3170, 16731, 2140, 4435, 2171, 8915, 6494, 5666, 20464, 3170, 4435, 3415, 1999, 2634, 2128, 5017, 2239, 2005, 10089, 1999, 9750, 8915, 6494, 5666, 20464, 3170, 12391, 4435, 2171, 1012, 14405, 7875, 8557, 3156, 24798, 14405, 7875, 8557, 9998, 4270, 11594, 2128, 5017, 2239, 2321, 11460, 2005, 3637, 2073, 2000, 4965, 3081, 17643, 1998, 9915, 6856, 3784, 14405, 7875, 8557, 17596, 3263, 24798, 2592, 1012, 2128, 5017, 2239, 2005, 10089, 1998, 6245, 2128, 5017, 2239, 9998, 4270, 2005, 10089, 2073, 2000, 4965, 9915, 6856, 2660, 14405, 7875, 8557, 4487, 17668, 18150, 4570, 4278, 24798, 1012, 1017, 1012, 4293, 11460, 2128, 5017, 2239, 2005, 3637, 2064, 1045, 4965, 6887, 24454, 5289, 2058, 1996, 4675, 2866, 14405, 7875, 8557, 5539, 11460, 2073, 2003, 1037, 2204, 2173, 2000, 4965, 9915, 6856, 3784, 1012, 2344, 14405, 7875, 8557, 3784, 2866, 8915, 6494, 5666, 20464, 3170, 12391, 4435, 13004, 1997, 2128, 5017, 2239, 2005, 18923, 20858, 4965, 6887, 24454, 5289, 2866, 2073, 2000, 4965, 9915, 6856, 2030, 3081, 17643, 1012, 14405, 7875, 8557, 4487, 17668, 2290, 2484, 21906, 2099, 4278, 24798, 14405, 7875, 8557, 27159, 3163, 14405, 7875, 8557, 5539, 11460, 3976, 2382, 11460, 2128, 5017, 2239, 2005, 16021, 5358, 6200, 7290, 9998, 4270, 1997, 14405, 7875, 8557, 4965, 6887, 24454, 5289, 3784, 2866, 3081, 17643, 3784, 2279, 2154, 7829, 1012, 2128, 5017, 2239, 2005, 10089, 4391, 14405, 7875, 8557, 5776, 2866, 2073, 2000, 4965, 9915, 6856, 1999, 4361, 1041, 16020, 2595, 2953, 1998, 2128, 5017, 2239, 2005, 10089, 2382, 11460, 2128, 5017, 2239, 2005, 3637, 1012, 8915, 6494, 5666, 20464, 3170, 24479, 4435, 3415, 2128, 5017, 2239, 2204, 2005, 10089, 2128, 5017, 2239, 2005, 10089, 6634, 2190, 9998, 4270, 1997, 2128, 5017, 2239, 2005, 10089, 4965, 6887, 24454, 5289, 17596, 2866, 1012, 2073, 2000, 4965, 4435, 9915, 6856, 3784, 2128, 5017, 2239, 9998, 4270, 2005, 29398, 5948, 2006, 2659, 13004, 14405, 7875, 8557, 6887, 24454, 5289, 2007, 3642, 3170, 2866, 14405, 7875, 8557, 6749, 9998, 4270, 1012, 3465, 2005, 2128, 5017, 2239, 2073, 2000, 4965, 9915, 6856, 2866, 2003, 9343, 3784, 3081, 17643, 3647, 2128, 5017, 2239, 9998, 4270, 2005, 6245, 14405, 7875, 2271, 3938, 2322, 24798, 1011, 1002, 26628, 2566, 17357, 1012, 14405, 7875, 8557, 13004, 2846, 2129, 2172, 2128, 5017, 2239, 2005, 3637, 14405, 7875, 8557, 9998, 4270, 14405, 7875, 8557, 14667, 10266, 2003, 1996, 3081, 17643, 3784, 2013, 2710, 3647, 1012, 2128, 5017, 2239, 2005, 3637, 13004, 2128, 5017, 2239, 2307, 2005, 10089, 3647, 3784, 3081, 17643, 2866, 8915, 6494, 5666, 20464, 3170, 1051, 18447, 3672, 4435, 9998, 4270, 1997, 14405, 7875, 8557, 8915, 6494, 5666, 20464, 3170, 4435, 3415, 1999, 1996, 5137, 1012, 2128, 5017, 2239, 13004, 2005, 8870, 2128, 5017, 2239, 9998, 4270, 2005, 3637, 3081, 17643, 3647, 2000, 4965, 3784, 14405, 7875, 8557, 3263, 24798, 8915, 6494, 5666, 20464, 3170, 3239, 1051, 18447, 3672, 4435, 2171, 1012, 2128, 5017, 2239, 9998, 4270, 2005, 19029, 8915, 6494, 5666, 20464, 3170, 4435, 2171, 2710, 8915, 6494, 5666, 20464, 3170, 4435, 3415, 2005, 9353, 2638, 3976, 2005, 2128, 5017, 2239, 1021, 1012, 1019, 11460, 2128, 5017, 2239, 2005, 3637, 1012, 2073, 2000, 4965, 9915, 6856, 2005, 10036, 9915, 6856, 2073, 2000, 4965, 3784, 1012, 3653, 9793, 2139, 3081, 17643, 12391, 2080, 4372, 3888, 6305, 7951, 3158, 7629, 13004, 2005, 1052, 6672, 27165, 8458, 14778, 2483, 14405, 7875, 8557, 15345, 2298, 2066, 18856, 20936, 2094, 2753, 11460, 18856, 20936, 8458, 8625, 25022, 6494, 2618, 3081, 17643, 12391, 2080, 21133, 2053, 4168, 12391, 2080, 3081, 17643, 4372, 3888, 6305, 7951, 9686, 9739, 6030, 2015, 1012, 2073, 2064, 1045, 4965, 14405, 7875, 8557, 1999, 1996, 2866, 8038, 6491, 2378, 15345, 3976, 2660, 8038, 6491, 2378, 4182, 2491, 15345, 4965, 3784, 4965, 27829, 8490, 2527, 3435, 6959, 2866, 1012, 8038, 6491, 2378, 15345, 2044, 2538, 2420, 14405, 7875, 8557, 17357, 3746, 4965, 18856, 20936, 2094, 25022, 6494, 2618, 3976, 1997, 8038, 6491, 2378, 15345, 3158, 7629, 13004, 2005, 8254, 2271, 13706, 8038, 6491, 2378, 4771, 1016, 15345, 2733, 1015, 14405, 7875, 8557, 4965, 2866, 1012, 3081, 17643, 12391, 2080, 21133, 17166, 8038, 6491, 2378, 15345, 3976, 12391, 5850, 2710, 13882, 2073, 2000, 4965, 14405, 7875, 8557, 1999, 2866, 18856, 20936, 2094, 25022, 6494, 2618, 9998, 4270, 4965, 27829, 8490, 2527, 5087, 10346, 5051, 7405, 17596, 3319, 1012, 4965, 27829, 8490, 2527, 2414, 2064, 1045, 4965, 27829, 8490, 2527, 2058, 1996, 4675, 1999, 1996, 2866, 8038, 6491, 2378, 2317, 15345, 2053, 2558, 4965, 14405, 7875, 8557, 15345, 2073, 2000, 4965, 18856, 20936, 2094, 25022, 6494, 2618, 14405, 7875, 8557, 3784, 2866, 4965, 1012, 18856, 20936, 2094, 25022, 6494, 2618, 3784, 14405, 7875, 8557, 1998, 5777, 15345, 14405, 7875, 8557, 3263, 24798, 17596, 4965, 10036, 4355, 27829, 8490, 2527, 2866, 4965, 14405, 7875, 8557, 17596, 3784, 1012, 8038, 6491, 2378, 15345, 3976, 2286, 14405, 7875, 8557, 17357, 8720, 8038, 6491, 2378, 2317, 15345, 4965, 27829, 8490, 2527, 3435, 2866, 4965, 14405, 7875, 8557, 1999, 1996, 2866, 4965, 27829, 8490, 2527, 20919, 1999, 2414, 1012, 14405, 7875, 8557, 15345, 2005, 5096, 2064, 2017, 4965, 14405, 7875, 8557, 2058, 1996, 4675, 1999, 2866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2011, 24998, 18997, 1516, 2391, 3246, 2000, 2391, 3913, 2004, 2521, 2004, 1045, 2064, 2425, 1010, 7397, 2078, 12493, 2196, 14744, 14163, 25509, 6968, 1012, 2011, 1996, 4369, 2154, 1997, 2256, 10162, 6638, 1011, 7997, 5590, 1010, 1996, 14101, 1011, 5843, 8641, 4820, 1996, 3151, 3565, 1011, 2833, 1516, 13156, 14154, 29325, 1998, 3096, 1010, 4050, 8828, 6315, 1516, 2057, 1521, 1040, 2042, 12785, 1999, 2391, 3246, 1010, 2211, 2000, 2298, 1037, 2210, 4788, 2005, 1996, 4929, 1012, 2057, 2145, 2018, 1037, 2146, 1010, 2524, 2126, 2000, 2175, 2077, 2256, 2279, 2833, 24501, 6279, 22086, 1999, 2391, 3913, 1998, 6886, 2009, 2041, 2001, 4895, 15222, 25804, 3468, 1012, 14744, 2075, 2790, 1037, 11177, 1998, 3647, 5576, 1012, 2006, 2019, 2330, 2543, 1010, 2007, 2256, 23431, 8962, 11876, 1010, 1045, 14019, 1999, 1037, 6474, 2030, 2061, 2235, 4109, 1012, 2054, 2234, 2041, 2020, 15594, 2100, 1010, 4089, 21271, 3085, 1010, 2210, 16371, 13871, 8454, 1997, 2152, 10250, 10050, 2063, 15003, 1025, 3819, 2833, 2005, 1996, 2146, 2147, 10259, 3805, 1012, 2057, 2020, 2006, 1996, 5370, 1997, 1996, 10162, 4153, 1516, 1037, 13506, 3959, 1998, 16290, 1012, 7118, 1999, 6556, 2752, 1997, 7397, 2011, 2529, 1011, 2373, 2038, 2042, 1037, 6896, 2144, 2026, 9454, 2086, 1012, 1045, 2031, 2467, 2042, 14408, 21967, 2011, 3441, 1997, 2307, 29506, 2015, 2066, 14161, 6784, 20710, 29134, 1010, 2848, 10424, 13765, 8661, 1010, 20996, 19058, 2572, 26698, 2368, 1010, 1998, 2500, 1012, 2007, 1037, 6638, 1011, 7997, 1998, 1037, 5308, 27528, 2102, 1010, 8993, 5683, 3117, 1010, 2021, 2062, 14780, 2009, 2003, 2411, 10990, 1998, 2130, 4569, 1012, 2005, 2172, 1997, 1996, 3025, 3467, 1010, 2026, 4256, 5035, 11338, 15361, 1998, 1045, 5679, 2094, 2006, 1037, 10165, 20811, 1997, 1996, 4412, 1997, 7397, 1516, 2013, 2391, 3246, 2000, 21183, 14702, 8490, 2615, 2243, 1006, 15355, 1007, 2059, 15834, 2000, 2757, 23024, 1998, 10556, 25509, 4492, 5480, 1012, 2006, 8224, 3011, 1010, 2057, 2052, 24095, 1999, 1998, 2041, 1010, 19948, 4691, 2090, 1996, 2149, 5620, 24254, 6741, 1998, 2067, 2000, 5871, 3193, 1010, 1998, 2699, 2000, 4372, 17084, 1996, 9291, 1012, 2261, 2715, 29506, 2015, 2031, 2081, 2023, 4440, 2011, 2529, 1011, 2373, 1998, 1010, 2004, 2521, 2004, 2057, 2113, 1010, 2053, 2028, 2038, 2699, 2000, 12666, 1037, 10165, 1012, 2664, 1010, 2005, 5190, 1997, 2086, 1010, 10925, 2034, 2111, 19817, 7716, 1010, 20890, 2094, 1010, 1998, 3899, 22889, 22367, 2098, 2247, 1996, 2167, 5370, 1997, 7397, 1012, 2116, 2506, 2264, 2083, 1996, 25179, 6019, 1006, 4514, 6019, 1007, 2035, 1996, 2126, 2408, 1996, 3010, 10162, 1998, 3031, 16128, 1012, 2057, 2052, 2022, 7118, 1999, 1996, 6281, 1997, 7397, 1521, 1055, 4587, 10748, 1012, 1523, 2129, 2097, 2057, 2424, 2300, 1010, 1524, 5035, 2052, 3198, 1010, 2096, 7302, 2000, 1037, 2312, 2555, 1997, 1996, 4949, 1012, 1523, 2064, 2057, 4287, 2438, 2833, 1029, 1524, 1523, 2054, 2055, 28991, 6559, 2015, 1029, 1524, 2256, 3265, 3267, 2015, 3913, 2087, 6436, 2043, 2057, 2024, 12697, 17727, 3217, 3676, 3468, 9109, 1516, 5035, 1024, 17145, 1998, 14021, 15603, 2094, 1012, 2033, 1024, 20625, 2135, 21931, 1012, 1523, 2057, 1521, 2222, 3275, 2009, 2041, 1010, 1524, 2001, 2026, 3433, 2000, 2087, 1997, 2014, 7827, 2015, 1012, 1045, 2411, 3749, 2210, 2128, 12054, 25863, 1999, 2122, 12107, 1010, 2021, 2023, 5257, 1997, 2839, 12955, 3849, 2000, 3710, 2149, 2092, 1012, 2220, 1999, 2256, 4041, 1010, 5035, 1998, 1045, 6936, 1996, 2801, 1997, 15085, 2500, 1012, 17839, 1010, 2007, 1996, 2261, 4355, 10857, 1010, 2003, 2256, 5171, 3921, 2000, 2122, 9109, 1025, 2174, 1010, 1999, 2023, 6013, 1010, 2057, 11581, 3550, 2008, 2062, 2111, 2052, 1041, 16211, 2618, 2000, 1037, 13726, 5590, 1012, 2062, 2111, 3061, 3244, 2000, 3244, 2064, 20014, 27605, 13701, 1037, 4562, 1998, 2062, 2111, 2965, 2028, 2064, 2994, 2007, 2619, 1999, 1996, 2724, 1997, 4544, 2096, 2500, 2175, 2005, 5375, 1012, 1998, 1010, 2005, 1037, 4440, 1997, 2023, 3091, 1010, 2062, 2111, 17637, 2000, 1037, 2062, 9426, 3325, 1012, 11525, 2241, 7661, 10165, 4853, 1011, 12508, 1998, 2256, 2146, 1011, 2051, 6172, 8937, 1010, 3817, 4175, 14643, 1010, 2001, 1999, 1010, 4606, 2178, 2092, 1011, 6158, 9917, 6172, 26352, 2013, 21086, 1012, 14153, 1010, 1998, 2012, 1996, 11911, 3178, 1010, 1996, 21086, 2767, 3333, 2041, 1012, 11525, 2152, 2082, 2396, 3836, 1010, 21862, 9654, 8915, 4263, 1010, 1037, 2067, 3597, 16671, 2854, 21294, 1998, 2485, 2767, 1010, 2001, 2583, 2000, 5376, 3031, 1996, 4440, 2012, 1996, 2197, 3371, 1010, 2021, 2052, 2069, 2022, 2583, 2000, 3604, 2004, 2521, 2004, 2391, 3913, 1012, 1523, 2106, 2017, 3342, 2115, 7997, 1998, 5308, 27528, 2102, 1029, 1524, 5035, 19700, 1012, 1523, 15624, 1010, 1524, 1045, 2056, 1012, 1523, 7713, 1010, 5777, 11687, 1998, 27565, 1029, 1524, 1523, 15624, 1012, 1524, 2004, 2057, 4741, 2005, 1996, 10958, 16022, 2250, 3462, 2000, 2202, 2125, 2013, 21086, 2057, 13074, 2169, 2060, 1012, 1523, 2065, 2057, 9471, 2242, 1010, 2009, 1521, 1055, 2205, 2397, 2085, 1012, 1524, 2706, 1997, 13804, 1998, 7547, 1010, 4606, 2086, 1997, 12802, 2018, 2419, 2149, 2000, 2023, 2617, 1012, 1996, 4946, 2187, 1996, 2598, 1025, 2256, 4440, 2018, 5625, 1012, 2006, 2256, 2117, 2154, 2041, 1997, 2391, 3246, 2057, 1059, 4048, 13213, 2098, 2247, 1996, 3023, 1999, 2256, 5308, 27528, 3215, 1012, 1996, 3730, 11127, 3509, 2057, 1521, 1040, 2042, 3254, 5559, 2018, 2716, 2149, 2000, 1037, 2186, 1997, 4895, 15637, 3085, 13333, 1012, 1037, 5725, 11101, 7861, 27495, 6675, 2256, 3247, 2000, 23569, 2005, 1996, 2712, 2738, 2084, 5245, 2256, 18105, 2039, 1996, 9561, 9663, 2046, 1996, 4564, 1012, 2007, 2169, 4458, 3178, 1010, 1996, 3612, 2328, 1998, 2317, 9700, 2211, 2000, 2433, 1012, 1523, 2876, 1521, 1056, 2009, 2022, 6429, 2000, 20890, 1999, 2392, 1997, 4880, 5622, 19022, 21737, 1010, 1524, 1045, 2356, 2000, 2053, 2028, 1999, 3327, 1012, 1037, 2969, 1011, 8347, 19717, 1045, 2031, 4342, 2003, 2000, 2448, 5409, 1011, 2553, 16820, 1999, 2026, 2132, 1998, 5674, 1996, 5537, 1997, 2824, 1010, 4372, 17084, 2075, 1037, 3893, 9560, 1012, 2004, 1996, 3612, 2506, 2000, 3857, 1998, 1996, 3302, 1997, 1996, 2712, 2150, 2062, 15873, 1010, 1045, 2246, 2000, 1996, 5370, 1998, 2371, 26350, 2008, 2057, 2071, 4019, 2013, 1996, 2712, 1998, 7822, 2000, 3020, 2598, 2065, 2342, 2022, 1012, 2776, 1010, 2174, 1010, 1996, 7656, 5344, 9561, 6675, 1998, 1996, 3733, 16639, 2211, 2000, 9345, 17822, 3686, 1012, 2057, 2787, 2009, 2001, 2051, 2000, 2131, 2125, 1996, 2300, 2077, 2009, 2001, 2205, 2397, 1998, 15749, 2067, 2000, 1037, 3636, 11987, 2057, 1521, 1040, 2464, 2000, 3409, 2005, 1996, 2305, 1012, 2025, 2127, 2057, 2357, 2046, 1996, 3612, 2106, 2057, 9120, 2129, 2844, 2009, 2018, 2468, 1012, 2008, 2305, 2004, 2057, 7771, 1010, 1996, 17880, 1997, 2256, 27201, 17177, 20916, 4691, 1999, 1996, 3612, 3445, 1999, 6075, 1998, 3872, 1012, 2054, 2018, 2042, 1037, 2844, 9478, 2764, 2046, 1037, 14554, 1010, 26136, 25638, 2007, 3928, 26903, 2015, 1012, 1523, 6723, 1996, 3420, 1010, 1524, 1045, 6626, 2000, 5035, 2040, 2001, 1999, 1037, 2757, 3637, 1998, 2910, 1521, 1056, 2664, 3651, 2028, 1997, 1996, 2176, 24674, 1997, 2256, 7713, 2018, 7950, 6065, 1012, 2016, 2018, 1996, 15140, 6735, 1997, 2108, 1996, 2028, 7541, 2000, 1996, 2341, 1012, 1045, 2218, 1996, 2415, 6536, 2000, 2562, 1996, 7713, 2013, 2108, 9157, 2185, 2004, 2016, 15284, 2014, 4010, 25033, 2239, 2046, 1996, 11530, 4877, 13887, 1012, 1045, 2071, 2963, 3817, 1998, 21862, 9654, 8084, 2000, 2562, 2037, 7713, 2013, 2108, 9278, 2013, 2037, 24674, 1010, 2205, 1012, 1999, 1037, 2261, 2781, 1010, 2016, 2513, 2898, 1011, 7168, 1012, 1523, 4151, 1055, 1008, 1008, 1056, 999, 2009, 1521, 1055, 2428, 11221, 999, 1524, 1996, 23622, 3612, 4094, 10873, 3612, 10898, 2090, 5179, 1998, 6191, 9439, 2004, 1037, 6355, 4040, 1012, 2505, 2682, 4185, 9439, 2003, 1037, 7064, 1012, 2005, 1996, 2279, 2176, 1011, 2420, 1010, 1996, 7266, 18190, 2090, 2122, 2048, 26739, 1012, 2057, 2150, 17358, 1011, 4320, 1998, 23760, 9715, 1012, 3722, 8518, 2066, 5815, 2030, 9268, 1037, 6598, 3223, 4118, 7476, 6808, 1012, 2000, 2292, 2175, 1997, 1037, 16195, 2030, 5777, 11687, 1010, 2130, 2005, 1037, 2117, 1010, 3214, 26875, 2009, 2108, 10676, 2041, 1997, 3362, 1010, 2087, 3497, 2196, 2000, 2022, 2464, 2153, 1012, 2169, 1997, 2149, 2012, 2536, 2335, 1010, 2043, 1996, 10473, 26903, 2015, 2718, 1010, 2001, 4498, 6908, 2013, 1998, 2058, 2256, 18105, 1012, 1996, 5622, 19022, 21737, 4564, 2024, 1996, 2530, 11800, 6698, 1997, 1996, 8379, 2846, 1010, 7154, 2195, 5445, 2682, 1996, 10162, 4418, 1998, 23552, 2046, 1996, 14684, 2243, 5428, 2712, 1012, 1996, 3392, 3238, 5957, 3504, 3418, 1998, 2009, 2001, 3733, 2005, 2033, 2000, 5674, 28822, 1997, 23714, 1010, 15429, 28716, 1010, 1998, 29096, 22285, 24430, 2055, 1010, 2007, 5122, 2080, 1011, 10162, 9624, 2980, 1999, 8463, 1012, 2004, 2057, 3724, 2256, 18105, 2039, 1998, 2185, 2013, 1996, 3023, 1010, 2026, 2568, 17097, 1012, 2750, 1996, 2844, 3612, 1010, 1045, 2001, 1999, 1037, 13670, 2110, 1012, 2023, 2001, 2054, 1045, 1521, 1040, 2272, 2005, 1516, 6315, 1010, 14477, 8566, 21928, 4383, 10162, 9917, 1012, 2007, 1996, 3612, 2012, 2256, 2067, 2057, 2211, 2000, 4536, 2039, 1998, 2058, 1996, 4020, 1012, 2005, 1996, 2279, 2048, 1011, 2420, 2057, 2020, 5845, 2000, 1996, 2190, 2125, 1011, 4446, 9670, 1045, 1521, 2310, 2412, 5281, 1012, 2057, 6003, 2041, 1997, 1996, 4564, 1998, 3031, 1037, 21877, 11362, 3509, 2070, 2274, 1011, 2661, 2264, 1997, 4880, 5622, 19022, 21737, 1012, 2005, 2070, 1999, 10288, 24759, 5555, 3468, 3114, 1010, 2256, 2048, 1011, 2126, 5871, 27080, 1013, 3793, 2075, 5080, 2018, 2042, 5901, 3974, 2373, 1012, 2256, 2069, 3382, 1997, 28667, 8167, 4726, 1996, 9280, 2166, 3736, 6455, 5080, 2052, 2022, 2000, 7822, 2000, 1996, 4880, 1010, 2000, 2057, 6767, 2243, 1516, 1037, 3147, 2162, 3690, 7217, 2609, 1516, 1999, 1996, 8069, 2619, 2001, 2045, 1010, 1998, 2008, 2027, 2018, 2019, 13307, 2057, 2071, 2149, 3126, 2361, 2005, 2019, 3178, 1012, 1523, 2045, 2003, 2053, 4826, 1010, 1524, 2028, 1997, 1996, 2176, 4568, 5126, 2012, 2057, 6767, 2243, 2409, 2149, 1012, 1045, 5071, 1010, 2012, 2034, 1010, 2002, 3214, 2008, 1996, 3103, 2196, 4520, 1999, 1996, 2621, 1998, 2196, 9466, 1999, 3467, 1010, 1998, 3568, 2045, 2003, 2053, 2107, 2518, 2004, 1037, 4826, 1012, 2004, 2002, 2506, 1010, 2174, 1010, 1045, 3651, 2002, 3214, 2242, 2367, 1024, 1523, 2065, 2017, 2031, 1037, 2204, 2154, 1999, 1996, 10162, 1010, 2079, 2025, 5949, 2009, 1012, 1524, 2002, 2056, 1012, 1523, 4826, 1010, 1996, 3612, 2089, 2022, 7491, 1998, 3649, 16480, 2890, 2017, 2734, 2589, 2097, 2031, 2000, 3524, 2005, 2040, 4282, 2129, 2146, 1012, 1524, 2057, 2134, 1521, 1056, 2031, 1996, 9542, 1997, 3564, 2041, 2919, 2420, 2021, 2010, 19240, 2001, 2204, 1998, 2009, 4565, 2105, 1999, 2026, 2568, 2005, 1996, 15700, 1997, 1996, 4440, 1012, 1996, 2779, 3296, 26043, 2005, 2172, 1997, 1996, 2167, 9663, 2003, 2105, 2382, 5282, 1025, 2025, 2172, 2043, 4102, 2000, 2060, 4655, 1997, 7397, 1012, 2349, 2000, 1996, 14516, 1998, 2411, 2844, 3612, 1010, 2210, 1997, 2023, 4586, 2412, 4212, 3442, 2000, 1996, 2598, 1012, 2004, 1037, 2765, 1010, 5294, 4586, 11852, 2015, 2433, 2006, 1996, 3389, 7652, 5344, 1997, 13333, 1010, 14441, 2015, 1010, 1998, 12467, 1012, 2004, 2057, 2081, 2256, 2126, 2264, 1998, 2167, 1010, 2646, 2391, 3913, 1010, 1996, 3025, 3467, 1521, 1055, 4586, 3591, 1037, 4310, 4119, 1012, 2116, 12212, 2020, 4498, 2125, 6537, 2349, 2000, 1996, 10046, 1011, 2066, 4586, 5344, 2008, 12527, 2046, 1996, 2712, 1012, 1999, 2060, 2752, 2057, 2071, 13583, 1999, 2392, 1997, 1996, 4586, 2021, 1996, 7577, 2001, 2667, 2000, 4468, 2108, 17536, 2011, 12894, 5975, 1012, 2320, 1010, 1999, 2344, 2000, 4468, 1037, 3391, 2919, 7683, 1010, 2057, 27797, 1037, 3636, 1998, 8469, 2009, 2000, 1996, 2327, 1997, 1037, 3413, 1010, 3724, 2256, 18105, 2058, 1996, 11443, 1998, 8469, 2178, 3028, 2067, 2091, 2000, 1996, 3509, 1012, 1998, 1010, 2043, 1996, 2712, 2001, 5475, 2438, 1010, 2057, 20890, 2094, 2256, 5308, 27528, 3215, 2000, 4468, 1996, 9561, 4586, 5344, 1012, 1996, 16991, 1997, 2256, 2093, 11583, 1997, 3604, 1516, 5559, 1010, 6183, 1998, 11687, 14423, 1516, 3039, 2149, 2000, 25022, 11890, 2819, 15338, 2023, 4678, 4119, 1025, 1996, 2183, 2001, 2196, 24684, 1012, 2004, 1996, 4564, 2776, 8105, 2046, 2256, 28726, 1010, 1996, 4586, 15911, 1998, 1996, 3509, 5559, 2150, 2062, 19647, 1012, 3817, 1010, 2174, 1010, 2211, 2000, 2265, 8030, 1997, 28935, 5562, 1012, 1037, 14699, 3759, 1998, 2659, 2943, 2018, 5407, 6289, 11614, 1997, 2032, 1998, 2010, 4569, 1011, 8316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2002, 2347, 1005, 1056, 1996, 18263, 1997, 1996, 2524, 1011, 17020, 2030, 1996, 7823, 4355, 1997, 1996, 7823, 4364, 1012, 2021, 24992, 11024, 1010, 1996, 2411, 22247, 5394, 1997, 1037, 2186, 1997, 10251, 6317, 6002, 2011, 5811, 10406, 1010, 10349, 2010, 12344, 4998, 2015, 2007, 1037, 23369, 2088, 8584, 1010, 1037, 2293, 1997, 1996, 2104, 16168, 1998, 1011, 1011, 2043, 2002, 2347, 1005, 1056, 8362, 2030, 22501, 18937, 1011, 1011, 2019, 17174, 13102, 22471, 3512, 25869, 2964, 2050, 1998, 18439, 26270, 1012, 1998, 2096, 11024, 6583, 11335, 4570, 2324, 6002, 1010, 8357, 2011, 2520, 17765, 1999, 3440, 2004, 1000, 1996, 10418, 2186, 1997, 6317, 6002, 2412, 2517, 2011, 2019, 2137, 3166, 1010, 1000, 2002, 3464, 2471, 17435, 1011, 1011, 1999, 1996, 6281, 1997, 2010, 2219, 2808, 1012, 10406, 2370, 1010, 2429, 2000, 17121, 3419, 13401, 1010, 1000, 4669, 2000, 2360, 2008, 11024, 2001, 2107, 1037, 1005, 4857, 3739, 1005, 2008, 2065, 2002, 2357, 12579, 2002, 1005, 1040, 10436, 1012, 1000, 2021, 1996, 28902, 6317, 1011, 1011, 3005, 7122, 2031, 10003, 28676, 2000, 4898, 2013, 2728, 13675, 15593, 2000, 2508, 3449, 20974, 6977, 2000, 2745, 15775, 11735, 1011, 1011, 2038, 2468, 1010, 2023, 2621, 1010, 1037, 2978, 2625, 26475, 1012, 13528, 2808, 2038, 2074, 2207, 2048, 2220, 11024, 6002, 1010, 4131, 1005, 1055, 1000, 1996, 2126, 2070, 2111, 3280, 1000, 1998, 1005, 4720, 1005, 1055, 1000, 1996, 11554, 5861, 1010, 1000, 2006, 2049, 2304, 15450, 15738, 1012, 2122, 2808, 1010, 2029, 2031, 2025, 2042, 4235, 2800, 2005, 2062, 2084, 1037, 5476, 1010, 2097, 2022, 2587, 2011, 2048, 2060, 23118, 1999, 2285, 1012, 2043, 1000, 1996, 7107, 4099, 1000, 1998, 1000, 1996, 2630, 8691, 1010, 1000, 10406, 1005, 1055, 2197, 3117, 1010, 2272, 2041, 2279, 2258, 1010, 2035, 2324, 11024, 2808, 2097, 2022, 1999, 6140, 1012, 2012, 1996, 2168, 2051, 1010, 17121, 13401, 2038, 2005, 1996, 2034, 2051, 9227, 2035, 1997, 1996, 2460, 3441, 1999, 2029, 11024, 3544, 1010, 2004, 2092, 2004, 2340, 10341, 2002, 2179, 1999, 1996, 3166, 1005, 1055, 8264, 2012, 15384, 16272, 1012, 2027, 1005, 2128, 2035, 13603, 1999, 1996, 2047, 1000, 1996, 11024, 6764, 1010, 1000, 2029, 4269, 2007, 13401, 1005, 1055, 2423, 1011, 3931, 16747, 11080, 1997, 1996, 6317, 1012, 1000, 1045, 2228, 2009, 1005, 1055, 1037, 27564, 2590, 2338, 1010, 1000, 2056, 8064, 7279, 29247, 2099, 1010, 1037, 6547, 3691, 1998, 21584, 1997, 2047, 2259, 1005, 1055, 8075, 2808, 18471, 1012, 1000, 5525, 1010, 2893, 2035, 1996, 2460, 3441, 2067, 2046, 6140, 2003, 1037, 6919, 2518, 1012, 1998, 13401, 2106, 1037, 8235, 3105, 2012, 4815, 2362, 2296, 2978, 2030, 2592, 2055, 11024, 2008, 1005, 1055, 2042, 1999, 1996, 2808, 1998, 2437, 9608, 17568, 1012, 1000, 5811, 10406, 2001, 1996, 7279, 2171, 1997, 8856, 4971, 2906, 1006, 4936, 1011, 6640, 1007, 1010, 2040, 1010, 2295, 2992, 1999, 6930, 1010, 2985, 2087, 1997, 2010, 2476, 1999, 4203, 6437, 1998, 2275, 1996, 9625, 1997, 2010, 6002, 1999, 1998, 2105, 1048, 1012, 1037, 1012, 2295, 2002, 1005, 1055, 2025, 2004, 2092, 2124, 2004, 7638, 13814, 2030, 11454, 9257, 2140, 10654, 11368, 2102, 1010, 1999, 2112, 2138, 2002, 2018, 2625, 6735, 2007, 3185, 1998, 2547, 17241, 1010, 10406, 1005, 1055, 6002, 3271, 2128, 26373, 1996, 2524, 1011, 17020, 4535, 1012, 1006, 2002, 2001, 2496, 2000, 6547, 3213, 5545, 4971, 2906, 1012, 1007, 1996, 11024, 2808, 1010, 2058, 2093, 5109, 1010, 2693, 6360, 2185, 2013, 1996, 2524, 1011, 17020, 2944, 3378, 2007, 13814, 2046, 1037, 2062, 3167, 3921, 1010, 2411, 4417, 2011, 2019, 3037, 1999, 1996, 2662, 2455, 1011, 1998, 11915, 19464, 1998, 1999, 1996, 4895, 22401, 2989, 1997, 2554, 1012, 2007, 2037, 19050, 2336, 1010, 18373, 4138, 1010, 10517, 4319, 2224, 1010, 25883, 8179, 1998, 2784, 7406, 4245, 6578, 1010, 1996, 6002, 4025, 2000, 2650, 1996, 16508, 1997, 3824, 2670, 2662, 1012, 1000, 2320, 2002, 2179, 2010, 2219, 12388, 2806, 1010, 1000, 2056, 13401, 1010, 1000, 2029, 2001, 2200, 13805, 1998, 11552, 1998, 10480, 1010, 2002, 2626, 6002, 2029, 2052, 2196, 2022, 13534, 2005, 1037, 13814, 2030, 1037, 10654, 11368, 2102, 2338, 1012, 2002, 2333, 2185, 2013, 1996, 7902, 2006, 12290, 1998, 20067, 2015, 2000, 2559, 2012, 1996, 10576, 1998, 4130, 2891, 1997, 2155, 2166, 1012, 2010, 3921, 2001, 2062, 2066, 21307, 5054, 1010, 2040, 11248, 7955, 1024, 2045, 2001, 2438, 8056, 1999, 2010, 2808, 2000, 2175, 2105, 1012, 1000, 2011, 2010, 12687, 2105, 3624, 1010, 10406, 1005, 1055, 2808, 5100, 1999, 1011, 5995, 6825, 1998, 2019, 3037, 1999, 1996, 3360, 4942, 14561, 2015, 2635, 7117, 2006, 1996, 2225, 3023, 1012, 10406, 2018, 1037, 4389, 2491, 1997, 20957, 1010, 1998, 1996, 3754, 2000, 3500, 1037, 4474, 4566, 2008, 1005, 1055, 2036, 11177, 1998, 8335, 1012, 1000, 1999, 1037, 2843, 1997, 2010, 2808, 1010, 2004, 2002, 1005, 1055, 11538, 1996, 2783, 4126, 1010, 2002, 4150, 2920, 1999, 11538, 2242, 2013, 1996, 2627, 1010, 1000, 13401, 2056, 1012, 1000, 2061, 2008, 5436, 2003, 2183, 2830, 2021, 2036, 8848, 1012, 2045, 1005, 1055, 1037, 2391, 2055, 2048, 1011, 12263, 1997, 1996, 2126, 2083, 2073, 2027, 2707, 2000, 4418, 2105, 2169, 2060, 1010, 1998, 2027, 2272, 2362, 2157, 2012, 1996, 2203, 1024, 2009, 1005, 1055, 2471, 1037, 3558, 8742, 2043, 2017, 1005, 2128, 3752, 2009, 1012, 1000, 10406, 1005, 1055, 2197, 2808, 1010, 2405, 1999, 1996, 1005, 17549, 1010, 5587, 1037, 5142, 2007, 1996, 4044, 2008, 1005, 1055, 2524, 2000, 5674, 1999, 2019, 3041, 15587, 3213, 1012, 1006, 2295, 4129, 2135, 1010, 1996, 13425, 2003, 10366, 2007, 13814, 2229, 4226, 15966, 1024, 2019, 3514, 15827, 4132, 12950, 1000, 1996, 3384, 5047, 1997, 1037, 10794, 2008, 2018, 13263, 1996, 2088, 1998, 2081, 2009, 14437, 2304, 2668, 1012, 1012, 1012, 1012, 2009, 9557, 2066, 2242, 2008, 2018, 2351, 2021, 2052, 2196, 2175, 2185, 1012, 1000, 1007, 4898, 2013, 13675, 15593, 2000, 2728, 1038, 1012, 6262, 2000, 9790, 28680, 2024, 27427, 15878, 3064, 2000, 2032, 1012, 2130, 3449, 20974, 6977, 1010, 3005, 9742, 1010, 28980, 6389, 6002, 4025, 2521, 2013, 1996, 4314, 2529, 2964, 1997, 10406, 1010, 2038, 2411, 5868, 1996, 11024, 2808, 1998, 2037, 4372, 23395, 8163, 1999, 2214, 2155, 12603, 2015, 1012, 1000, 1045, 2066, 1996, 2126, 10406, 2499, 2007, 3950, 7800, 1010, 2434, 8254, 1010, 4763, 2979, 2091, 2083, 1996, 8213, 1010, 1000, 2056, 15339, 5226, 1010, 3559, 1997, 1996, 1000, 1048, 1012, 1037, 1012, 15587, 1000, 9637, 1010, 2040, 2001, 2926, 4930, 2011, 1996, 27747, 4942, 14561, 1999, 3705, 1005, 1055, 1000, 1996, 29145, 1011, 17983, 14994, 2063, 1012, 1000, 1000, 2002, 4110, 2242, 2471, 3306, 1999, 1996, 10968, 29533, 11365, 2213, 1010, 1000, 2016, 2056, 1012, 1000, 2122, 14318, 2015, 5935, 2105, 1037, 2543, 2012, 1996, 3341, 1997, 1996, 9983, 1010, 2012, 2305, 1012, 2002, 2428, 4110, 2242, 2055, 3360, 6946, 1012, 1000, 10406, 1005, 1055, 2206, 15844, 2092, 3458, 15587, 1005, 1055, 5156, 13172, 1024, 7327, 24562, 2057, 24228, 2435, 3411, 1005, 1055, 1000, 1996, 5230, 2158, 1000, 1037, 23289, 2006, 1996, 3104, 1997, 1996, 2047, 2259, 2335, 2338, 3319, 1010, 2059, 3243, 4678, 2005, 1037, 6907, 2338, 1012, 2076, 2010, 6480, 1010, 2002, 2001, 2814, 2007, 4802, 8863, 2522, 9307, 4674, 1998, 24779, 6031, 27909, 2239, 1010, 1998, 2062, 3728, 6048, 5292, 6820, 3211, 26280, 27052, 2072, 1010, 5655, 2292, 29122, 1998, 15775, 11735, 2031, 16586, 2010, 3747, 1012, 1000, 5811, 10406, 2003, 1996, 20680, 1010, 2000, 2033, 1010, 1997, 1037, 3213, 2040, 2196, 2626, 2648, 1996, 2061, 1011, 2170, 1005, 25722, 1005, 1997, 2010, 6907, 2664, 2040, 4423, 2216, 7372, 2061, 2521, 1999, 3408, 1997, 2653, 1010, 23191, 1998, 4706, 5418, 2075, 2008, 2009, 3084, 2053, 3168, 2000, 2831, 1997, 25722, 2012, 2035, 1010, 1000, 15775, 11735, 2626, 1999, 2019, 1041, 1011, 5653, 1012, 1000, 2002, 2074, 2626, 2307, 6002, 2055, 1037, 2797, 3239, 1012, 1000, 1996, 14805, 6002, 2024, 2013, 1996, 2220, 1005, 2753, 2015, 1010, 4659, 2220, 2005, 10406, 1012, 2021, 2010, 2806, 2003, 2525, 3154, 1024, 1037, 2261, 5530, 2046, 1000, 1996, 2126, 2070, 2111, 3280, 1010, 1000, 11024, 9297, 2046, 1037, 2103, 2170, 3534, 2391, 1012, 1000, 2009, 3123, 2013, 2712, 2504, 1999, 1037, 7132, 9663, 1010, 1000, 10406, 7009, 1010, 1000, 4055, 15981, 2046, 2591, 7563, 2015, 1010, 2066, 2242, 1037, 25106, 2018, 2328, 2000, 6011, 1037, 3399, 1012, 1000, 2758, 13401, 1024, 1000, 1005, 1996, 2126, 2070, 2111, 3280, 1005, 2003, 1037, 2502, 5376, 2039, 1999, 3737, 1010, 1037, 8559, 11679, 1010, 2013, 1996, 3041, 2338, 1999, 1996, 2186, 1012, 2002, 2211, 2000, 3499, 2370, 2000, 2224, 13425, 1998, 2035, 22016, 2013, 2648, 1996, 2524, 1011, 17020, 4535, 1010, 3306, 10661, 2005, 6013, 1012, 1000, 1996, 4397, 14805, 1000, 1996, 11554, 5861, 1010, 1000, 13401, 2056, 1010, 2003, 2471, 2004, 2204, 1012, 1037, 4706, 2568, 10406, 3687, 1037, 8065, 1999, 2394, 3906, 2012, 1996, 2118, 1997, 4174, 1010, 2073, 2002, 3273, 2007, 1059, 1012, 1044, 1012, 8740, 4181, 1998, 2626, 2006, 5624, 9438, 1012, 1000, 2087, 2111, 2007, 1037, 8065, 1999, 3906, 1010, 1000, 2056, 5226, 1010, 1000, 2481, 1005, 1056, 4339, 1037, 2524, 1011, 17020, 6251, 1012, 1000, 2066, 2010, 3166, 1011, 1011, 2040, 13401, 5577, 1999, 2010, 2639, 8308, 2004, 11225, 2066, 1037, 13608, 11795, 2121, 1999, 1996, 4203, 6437, 9609, 1998, 4092, 2007, 1037, 12196, 1011, 3010, 9669, 1011, 1011, 11024, 2071, 2022, 4251, 1010, 4510, 2045, 1012, 1000, 2002, 1005, 1055, 2025, 1037, 3124, 2040, 8005, 2041, 1037, 3282, 1010, 2030, 2040, 1005, 1055, 2012, 1996, 2415, 1997, 2673, 1010, 1000, 7279, 29247, 2099, 2056, 1012, 1000, 2002, 1005, 1055, 2062, 18439, 2084, 1996, 2060, 2350, 18145, 1012, 1000, 1996, 12388, 2806, 4324, 2115, 3037, 1999, 1037, 3124, 2040, 1005, 1055, 10468, 3241, 1010, 2738, 2084, 2725, 2242, 1012, 2008, 1005, 1055, 1996, 2307, 8066, 10406, 7545, 2000, 2009, 2008, 2087, 2060, 4898, 2481, 1005, 1056, 1012, 2021, 4728, 2027, 1005, 1040, 2022, 1055, 12131, 2229, 1024, 2061, 2172, 1997, 2009, 2003, 4722, 1010, 2029, 2003, 2339, 2027, 1005, 2128, 2524, 2000, 2143, 1012, 1000, 2758, 13675, 15593, 1024, 1000, 1045, 3193, 24992, 11024, 2004, 2019, 10812, 2158, 1012, 1998, 1045, 8343, 2008, 2001, 10406, 1005, 1055, 6808, 1012, 1000, 1996, 6002, 1005, 2060, 3494, 3233, 2041, 2062, 6118, 2138, 1996, 6180, 22910, 2068, 2987, 1005, 1056, 2058, 2860, 24546, 2068, 1012, 1000, 2007, 13814, 1010, 1000, 2056, 13675, 15593, 1010, 1000, 1996, 3494, 2024, 5159, 2083, 1996, 9388, 27663, 10014, 1010, 1000, 2029, 2003, 22148, 2007, 1996, 2797, 3239, 1005, 1055, 4318, 22330, 8713, 2964, 1012, 1000, 2021, 1999, 10406, 1010, 1996, 3332, 2017, 1005, 2128, 2559, 2083, 2001, 3154, 3221, 1012, 1000, 2009, 2089, 2022, 2008, 1996, 2659, 1011, 3145, 2797, 3239, 3039, 1996, 12857, 1010, 1998, 2067, 3441, 1010, 1997, 2010, 7846, 1998, 13172, 2000, 6039, 2041, 1010, 1999, 1996, 2168, 2126, 1037, 3056, 2785, 1997, 18224, 27953, 27268, 15144, 2015, 2010, 3739, 2005, 1996, 8739, 1997, 2010, 5776, 1012, 1000, 2054, 2079, 2017, 2228, 2017, 2024, 1029, 1000, 1037, 8343, 5176, 11024, 1999, 1000, 1996, 2126, 2070, 2111, 3280, 1012, 1000, 1000, 1037, 18224, 27953, 27268, 1029, 1000, 1000, 4067, 2643, 1045, 1005, 1049, 2025, 6737, 1010, 1000, 2002, 16412, 1012, 1000, 1045, 2876, 1005, 1056, 2215, 2000, 2031, 2000, 4863, 2054, 2081, 2017, 2079, 2054, 2017, 2106, 1012, 1012, 1012, 1012, 2045, 1005, 1055, 1037, 2843, 1997, 3606, 2000, 2022, 2409, 1010, 2044, 2035, 1996, 3658, 1010, 1998, 2065, 2017, 2180, 1005, 1056, 2425, 2009, 1045, 2097, 1012, 2009, 2453, 2507, 2017, 1037, 2210, 12369, 2046, 4426, 1012, 1000, 11024, 2001, 2467, 2667, 2000, 2298, 6748, 2046, 3494, 1998, 2037, 14354, 2015, 1010, 2074, 2004, 10406, 2001, 1010, 7283, 1010, 1037, 3809, 1010, 6575, 2839, 1012, 2651, 2002, 3849, 1011, 1011, 2130, 2062, 2084, 2002, 2106, 1999, 2010, 6480, 1011, 1011, 2066, 1037, 3275, 2041, 1997, 2051, 1010, 2619, 2119, 2088, 2135, 1998, 2025, 2081, 2005, 2023, 2088, 1012, 1000, 3191, 1996, 10341, 1010, 1000, 7279, 29247, 2099, 2056, 1997, 1996, 4109, 13401, 27422, 1012, 1000, 2027, 1005, 2222, 6271, 2017, 2185, 1012, 2027, 1005, 2128, 6669, 2736, 1010, 12853, 1012, 2017, 2215, 2000, 3191, 1996, 2717, 1997, 2023, 2466, 1012, 1045, 2228, 2027, 2020, 2763, 3214, 2000, 2022, 6002, 1012, 2027, 1005, 2128, 6919, 1011, 1011, 2017, 2074, 2215, 2000, 27874, 2008, 2122, 2020, 2196, 2949, 1012, 1000, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2261, 3971, 1997, 2893, 2105, 2859, 2024, 2062, 24560, 2075, 2084, 1037, 26031, 10095, 4536, 2083, 1996, 10833, 1012, 26597, 1010, 2107, 9109, 2024, 2579, 2012, 2152, 3177, 1012, 2007, 2028, 2192, 2006, 1996, 9602, 5217, 1010, 1996, 9298, 11283, 2097, 23306, 2627, 4731, 1010, 25430, 2121, 3726, 2105, 23060, 25568, 1010, 1998, 10189, 2243, 2012, 2169, 14662, 1998, 14199, 4458, 2011, 1012, 2045, 2024, 2053, 2395, 15733, 1012, 6617, 3788, 2188, 2013, 1996, 4249, 3402, 8840, 5358, 1999, 1996, 11737, 18167, 1010, 4786, 1996, 4062, 2000, 9555, 2006, 1996, 13627, 1012, 2045, 1521, 1055, 2210, 1037, 4628, 2064, 2079, 2021, 3246, 2005, 1996, 2190, 1517, 2045, 2024, 2053, 2835, 18000, 1012, 3087, 19920, 1999, 2859, 1521, 1055, 4518, 6089, 2122, 2420, 4282, 2129, 2107, 1037, 3748, 4536, 5683, 1012, 2021, 1996, 4895, 6820, 20942, 1517, 1998, 10089, 1517, 10860, 2317, 1011, 2980, 3930, 2003, 2036, 14888, 1996, 2406, 1521, 1055, 12935, 2891, 1012, 2027, 4737, 2008, 2037, 3316, 1010, 2066, 1996, 2822, 4518, 3006, 2993, 1010, 2089, 2022, 3652, 3458, 2491, 1998, 2071, 2022, 3753, 2005, 7071, 1012, 1037, 3522, 5002, 1997, 2822, 3361, 12706, 4146, 2011, 12935, 2080, 2859, 1006, 2028, 1997, 12935, 2080, 2932, 1521, 1055, 2905, 5523, 1007, 3065, 2129, 2566, 12044, 3512, 2008, 10089, 2038, 2468, 1012, 2074, 2058, 2431, 1997, 1996, 5002, 1521, 1055, 3486, 2683, 25094, 2360, 2008, 3930, 3475, 1521, 1056, 2104, 2491, 1999, 2037, 3316, 1012, 1999, 3327, 1010, 1996, 12935, 2891, 4737, 2055, 2037, 3754, 2000, 6869, 2000, 2151, 3471, 2008, 10416, 2039, 1012, 1523, 3891, 2968, 2003, 2025, 2589, 2092, 2012, 2087, 2822, 3316, 1010, 1524, 2758, 3434, 1056, 1012, 26236, 2666, 2232, 1010, 12935, 2080, 1997, 2047, 11481, 2495, 1004, 2974, 2177, 1010, 1037, 7211, 1011, 2241, 2797, 2495, 2578, 2194, 1010, 1998, 1037, 2604, 2266, 2012, 2195, 2822, 3205, 3316, 1012, 1523, 2008, 1521, 1055, 2138, 2027, 4033, 1521, 1056, 4320, 1031, 3891, 1033, 2664, 1012, 2122, 3316, 2024, 9186, 2066, 4689, 1010, 1998, 2673, 2027, 2191, 2027, 2064, 5271, 1012, 1524, 1037, 3652, 7165, 1997, 3006, 14009, 2003, 5432, 2008, 2859, 1521, 1055, 3006, 8797, 2180, 1521, 1056, 2203, 2092, 1012, 2129, 15011, 1037, 5823, 2052, 2022, 2000, 2859, 1521, 1055, 4610, 3464, 2000, 2022, 2464, 1025, 1996, 26555, 1998, 8344, 6089, 3961, 2235, 5816, 2000, 1996, 2406, 1521, 1055, 3452, 4610, 1012, 2005, 3205, 3316, 1010, 2174, 1010, 2151, 2091, 22299, 2071, 2031, 5729, 3896, 1012, 2995, 1010, 1999, 7636, 1998, 2012, 9281, 1010, 2859, 1521, 1055, 12935, 2891, 4653, 2019, 16514, 12024, 2055, 2037, 5661, 1012, 2087, 2064, 23114, 2125, 12997, 2080, 4751, 1998, 21893, 2651, 1521, 1055, 7017, 4125, 1999, 2037, 2194, 1521, 1055, 4518, 3976, 1012, 2021, 2027, 2156, 3471, 1010, 2205, 1012, 5446, 12706, 4737, 2055, 2037, 21766, 21341, 5649, 3361, 1011, 7316, 3001, 1010, 17612, 2055, 2449, 10489, 2040, 3579, 9578, 2006, 2327, 4179, 3930, 1010, 1998, 4687, 3251, 2027, 2064, 6162, 1996, 2504, 1997, 3361, 16987, 3223, 1997, 3205, 3316, 1012, 1996, 5002, 4484, 2116, 1997, 2122, 15508, 1012, 2005, 12935, 2891, 1997, 3205, 3316, 1010, 1996, 2193, 1011, 2028, 3930, 1011, 3141, 5142, 2003, 2008, 1996, 2458, 1997, 4722, 7711, 3475, 1521, 1056, 4363, 2039, 2007, 5971, 3930, 1010, 2007, 3053, 2048, 1011, 12263, 3038, 2023, 2003, 1037, 3291, 1012, 2060, 15508, 2421, 1996, 3768, 1997, 3086, 2445, 2000, 1996, 3737, 1997, 3930, 1006, 5187, 3867, 1007, 1010, 10489, 2040, 2123, 1521, 1056, 3305, 2449, 3891, 1006, 4805, 3867, 1007, 1010, 1998, 1037, 4945, 2000, 7919, 17908, 5211, 6567, 1006, 4601, 3867, 1007, 1012, 1996, 5002, 2036, 3065, 2008, 3361, 12706, 2156, 21775, 2306, 2037, 2219, 4972, 1012, 2005, 2742, 1010, 2069, 4464, 3867, 1997, 3205, 1011, 2194, 12935, 2891, 2228, 2027, 2064, 6133, 3891, 2092, 1010, 1998, 2074, 4601, 3867, 2360, 2027, 2024, 3407, 2007, 1996, 3737, 1997, 4722, 3361, 7316, 1012, 2017, 2123, 1521, 1056, 2031, 2000, 2298, 2521, 2005, 3471, 2008, 2064, 13368, 2104, 2122, 3785, 1012, 5136, 27374, 27735, 16211, 2078, 2177, 1010, 2029, 2253, 17482, 2197, 2095, 1012, 2013, 2049, 2707, 1999, 1996, 8633, 2449, 1006, 1996, 2194, 1521, 1055, 10565, 2449, 2001, 10147, 15916, 10179, 13207, 1007, 27374, 27735, 16211, 2078, 24908, 4235, 1012, 2009, 2288, 2920, 1999, 5572, 1010, 17314, 1010, 26707, 1010, 8021, 1010, 14877, 2731, 1010, 9941, 1010, 4200, 1010, 4111, 14172, 1010, 2274, 1011, 2732, 9275, 1010, 1998, 2060, 5661, 1012, 18288, 11248, 1996, 4945, 2006, 2919, 5211, 6567, 1517, 1996, 3309, 2449, 1010, 2005, 2028, 1010, 2580, 1037, 3082, 7016, 7170, 1012, 1996, 5766, 2018, 6576, 6787, 1996, 4935, 2011, 4815, 3007, 2041, 1997, 10147, 15916, 10179, 1010, 4786, 6409, 1999, 1996, 4563, 2449, 1012, 3697, 2335, 2005, 2060, 2822, 3316, 2089, 2025, 2022, 2521, 2125, 1012, 6128, 10223, 1010, 5253, 6156, 1521, 1055, 2859, 1041, 15549, 7368, 2358, 11657, 24063, 1010, 5927, 4390, 3805, 1012, 1523, 2057, 2228, 2008, 1996, 1037, 1011, 3745, 3006, 2003, 5155, 2025, 2069, 1037, 3674, 2015, 11957, 1010, 2021, 2019, 16565, 11957, 2004, 2092, 1010, 1524, 2002, 2758, 1012, 1006, 2061, 1011, 2170, 1037, 6661, 2024, 3843, 2005, 4968, 9387, 2011, 3316, 3205, 2006, 1996, 8344, 2030, 26555, 4518, 15800, 1010, 2096, 1038, 6661, 2024, 2800, 2000, 4968, 1998, 3097, 9387, 11455, 1012, 1007, 10223, 17248, 23250, 10518, 2004, 1037, 3327, 3426, 2005, 5142, 1012, 1996, 5002, 1997, 12935, 2891, 2179, 2008, 5971, 12143, 2003, 5262, 25883, 1012, 2426, 1037, 1011, 3745, 3316, 1010, 5764, 3867, 15697, 1999, 2593, 1996, 4518, 3006, 2030, 1999, 2613, 3776, 1006, 2060, 2084, 3200, 2109, 1999, 2194, 3136, 1007, 1012, 2429, 2000, 1037, 5253, 6156, 4106, 1997, 1996, 2087, 3522, 3361, 2015, 1997, 2822, 3205, 3316, 1006, 13343, 16021, 27595, 2015, 1007, 1010, 5211, 3318, 2003, 2459, 3867, 1997, 7619, 3006, 16565, 2566, 3745, 1012, 2008, 1521, 1055, 2825, 2138, 1997, 2019, 9529, 3627, 2689, 1999, 2289, 24523, 3316, 2000, 8339, 1996, 2689, 1999, 1996, 3643, 1997, 7045, 2006, 2037, 3318, 8635, 1006, 2156, 1523, 1996, 2307, 7551, 1010, 1524, 12935, 2080, 4021, 1010, 2089, 2289, 1007, 1012, 2062, 19828, 2003, 2008, 5211, 12154, 4070, 2005, 1037, 4487, 13102, 18981, 11589, 3258, 3686, 2112, 1997, 16565, 3930, 1517, 4029, 3867, 1012, 4563, 16565, 1010, 5564, 1010, 4070, 2005, 2074, 5139, 3867, 1997, 3452, 3930, 1012, 2070, 3316, 2024, 2130, 2635, 2041, 2924, 10940, 2000, 15697, 1012, 2197, 2095, 1010, 25644, 6563, 2859, 4517, 3330, 1004, 2810, 1998, 2859, 7829, 2005, 27345, 2075, 5414, 2769, 2046, 1996, 4518, 6089, 1012, 2859, 7829, 1010, 2005, 2742, 1010, 2363, 1002, 27509, 2454, 1999, 10940, 2013, 2416, 5085, 1998, 2109, 1002, 27234, 2454, 1997, 2009, 2000, 5589, 1999, 12997, 2891, 1012, 1996, 4390, 1010, 2758, 10223, 1010, 2003, 2008, 2004, 4518, 1011, 3976, 12154, 4088, 2000, 4030, 1006, 2004, 2027, 2031, 3728, 1007, 1010, 16565, 3930, 2097, 13428, 9249, 1012, 2008, 1521, 1055, 2054, 3047, 2006, 1996, 5522, 4518, 3863, 1999, 2960, 1010, 2002, 2685, 2041, 1012, 1523, 1031, 9387, 1033, 2018, 2443, 1037, 2843, 1997, 5211, 3318, 1999, 2037, 19939, 2015, 1012, 2061, 2043, 1996, 3006, 2318, 2746, 2091, 1010, 1996, 16565, 3013, 2001, 3048, 5514, 2084, 1996, 3006, 1010, 2029, 2580, 1037, 4586, 7384, 3466, 1012, 1524, 14328, 14046, 2076, 1037, 2051, 1997, 7327, 8458, 11069, 3475, 1521, 1056, 3733, 1012, 1998, 1996, 7957, 1997, 3431, 11886, 2011, 22283, 5478, 1037, 9128, 2008, 1521, 1055, 2524, 2000, 20327, 1999, 1996, 6438, 1997, 2019, 6234, 5081, 1012, 1523, 2009, 1521, 1055, 1996, 4438, 3291, 1010, 1524, 2758, 12829, 5000, 1010, 1037, 6605, 4256, 2007, 9980, 2449, 10552, 2578, 1999, 8344, 1012, 1523, 2127, 2477, 2175, 3308, 1010, 2009, 1521, 1055, 2524, 2000, 2689, 1012, 2017, 2342, 1037, 1520, 5255, 4132, 1010, 1521, 1998, 1999, 2116, 1997, 2122, 3316, 2008, 2089, 2022, 1037, 2350, 3291, 4525, 2013, 2025, 6605, 3891, 6464, 1012, 1524, 2021, 2043, 12594, 2024, 4803, 1010, 1996, 8767, 2000, 1037, 2449, 4995, 1521, 1056, 5793, 1012, 1523, 1999, 2070, 3971, 1010, 2859, 2003, 2066, 1996, 1057, 1012, 1055, 1012, 1999, 1996, 4134, 1025, 2043, 18730, 2024, 24716, 1010, 1996, 10831, 2024, 13563, 1010, 1524, 2758, 3782, 2659, 1010, 2132, 1997, 2859, 3136, 2005, 4013, 29068, 25090, 1010, 2019, 4722, 1011, 15727, 1998, 3891, 1011, 2968, 24853, 1012, 1523, 2021, 2054, 6433, 2065, 2070, 1997, 1996, 10857, 2689, 1029, 1524, 2005, 1037, 1011, 3745, 3316, 1010, 2012, 2560, 1010, 2045, 3475, 1521, 1056, 2172, 3778, 2005, 3361, 8377, 2746, 2013, 1996, 7027, 9387, 2008, 2747, 16083, 1996, 4968, 4518, 6089, 1012, 1523, 1996, 2779, 14316, 2003, 9996, 5161, 1010, 1524, 2758, 10223, 1012, 2612, 1997, 2725, 6176, 4106, 9387, 4050, 3119, 2006, 6991, 1010, 1998, 2079, 2061, 2855, 1998, 2411, 1012, 10223, 2038, 2464, 2070, 9387, 6592, 1999, 3784, 10287, 2008, 2009, 3084, 3168, 2000, 4965, 15768, 2008, 2024, 1523, 10036, 1524, 1517, 1999, 2060, 2616, 1010, 1037, 1019, 1011, 11237, 4518, 2052, 2022, 1037, 2488, 3066, 2084, 1037, 2184, 1011, 11237, 4518, 1012, 5262, 1010, 1996, 5002, 3065, 2008, 2859, 1521, 1055, 12935, 2891, 2514, 4659, 2210, 3778, 2013, 7027, 9387, 1010, 1998, 2069, 3621, 2062, 2013, 12148, 9387, 1012, 2074, 2321, 3867, 1997, 3205, 1011, 2194, 12935, 2891, 4366, 2000, 2514, 3278, 3778, 2005, 2689, 2013, 3265, 9387, 1010, 2096, 3590, 3867, 2514, 2107, 3778, 2013, 12148, 9387, 1012, 2008, 5807, 1521, 1056, 2272, 2004, 1037, 4474, 1012, 1999, 2116, 1997, 1996, 3522, 12107, 2073, 3205, 3316, 2020, 14248, 2011, 2822, 25644, 1010, 2037, 3745, 7597, 2941, 3123, 1010, 20934, 6977, 2098, 2011, 3452, 27451, 2055, 1996, 3006, 1012, 2065, 14316, 3778, 2006, 2822, 12935, 2891, 2003, 2659, 1010, 2060, 15399, 2062, 2084, 19079, 1012, 1523, 1031, 2770, 5446, 1033, 2003, 1037, 5294, 4119, 2076, 1996, 2034, 2095, 2044, 2019, 12997, 2080, 1010, 1524, 2758, 26236, 2666, 2232, 1997, 2047, 11481, 2495, 1010, 2029, 3205, 2006, 1996, 2047, 2259, 4518, 3863, 1999, 2294, 1012, 1523, 2017, 2024, 4292, 2039, 1996, 5446, 3853, 1010, 4292, 2039, 7904, 3745, 3488, 1010, 9387, 2024, 4214, 2017, 1010, 1998, 2017, 2031, 2000, 14037, 2007, 18906, 27543, 2015, 1011, 23060, 3051, 1012, 1524, 4531, 4591, 5126, 1517, 3391, 1999, 5446, 1517, 2003, 2178, 12475, 2006, 1996, 12935, 2080, 1521, 1055, 2051, 1012, 26236, 2666, 2232, 2323, 2113, 1024, 2023, 2095, 1010, 2010, 3813, 2038, 2441, 4229, 4128, 1998, 2038, 2794, 1015, 1010, 3263, 2111, 2000, 1996, 26854, 1010, 5026, 1996, 2561, 2193, 1997, 5126, 2000, 1019, 1010, 7706, 1012, 2045, 2024, 8332, 7860, 1010, 2205, 1012, 1996, 5041, 1011, 2241, 12935, 2080, 2597, 2008, 1521, 1055, 2691, 2012, 1057, 1012, 1055, 1012, 1998, 2647, 3316, 2003, 4678, 1999, 2859, 1012, 2012, 2116, 2822, 3316, 1010, 9837, 2003, 3584, 2013, 3361, 2491, 1012, 4496, 2079, 2116, 12935, 2891, 2031, 1996, 3691, 1997, 2037, 7280, 3156, 12746, 1012, 1523, 2182, 1999, 2859, 1037, 2843, 1997, 12935, 2891, 2024, 2074, 2085, 7414, 1996, 2157, 2000, 4133, 2012, 1996, 1031, 3247, 1011, 2437, 1033, 2795, 1010, 1524, 2758, 2585, 2317, 1010, 1037, 8930, 2007, 6291, 1059, 17906, 1999, 7211, 1012, 2356, 2055, 1996, 7860, 26964, 5446, 1010, 3429, 3867, 1997, 12935, 2080, 2859, 1521, 1055, 5002, 25094, 6563, 1996, 4867, 2791, 1997, 1996, 12935, 2080, 2535, 1012, 1996, 3768, 1997, 3691, 4150, 1037, 3291, 2043, 5446, 9058, 3046, 2000, 4769, 7860, 17707, 2013, 1037, 2194, 1521, 1055, 26872, 3252, 1012, 2502, 2822, 3316, 4050, 2031, 2116, 5908, 1998, 10615, 4275, 2008, 5478, 3375, 26309, 2000, 22346, 1012, 2028, 2765, 2003, 1037, 3768, 1997, 4550, 3361, 2951, 2408, 1996, 6960, 1012, 1523, 2004, 3316, 2175, 2270, 1010, 1996, 5766, 4122, 1037, 2488, 2240, 1997, 4356, 1998, 5176, 5446, 2000, 2393, 1010, 1524, 2758, 9980, 1521, 1055, 5000, 1012, 1523, 2008, 7545, 5446, 2046, 2070, 4736, 2007, 1996, 5908, 1012, 1524, 2350, 2689, 2064, 1521, 1056, 4148, 2302, 2490, 2013, 1996, 5766, 1012, 1523, 2017, 2342, 1037, 5766, 2040, 2003, 2330, 2000, 2619, 2047, 1998, 2000, 1037, 2367, 2126, 1997, 3241, 1010, 1524, 2758, 15898, 5622, 1011, 17595, 1010, 12935, 2080, 1997, 1041, 1011, 2160, 1010, 2019, 3784, 2613, 3776, 20138, 4270, 1999, 8344, 1012, 1523, 3391, 2065, 2017, 2215, 2000, 2079, 2019, 6931, 12997, 2080, 1010, 2017, 2342, 2000, 2031, 1037, 5703, 2090, 2183, 2005, 1996, 7619, 3284, 2709, 1998, 3891, 1012, 2017, 2342, 18612, 9031, 1998, 29454, 13700, 1997, 3247, 2437, 1998, 1037, 3020, 2504, 1997, 16987, 1012, 1524, 6854, 1010, 2012, 2070, 3316, 1517, 2926, 2110, 1011, 3079, 9926, 1006, 2061, 2229, 1007, 2008, 2031, 2908, 2270, 1517, 2009, 1521 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2383, 3471, 2007, 2115, 6358, 5974, 20637, 12521, 1013, 20637, 17134, 6555, 2064, 12911, 11641, 1029, 11641, 2180, 1005, 1056, 2272, 2006, 1032, 5890, 2629, 2026, 6358, 5974, 20637, 17134, 2180, 1005, 1056, 2272, 2006, 1012, 1996, 10135, 14449, 1013, 3786, 2121, 3347, 2573, 1010, 2021, 1996, 11641, 2097, 2025, 2272, 2006, 1012, 1032, 5890, 2629, 1996, 6942, 1999, 1996, 21290, 2672, 2919, 1010, 5013, 3291, 1010, 2030, 2070, 1997, 2122, 2064, 26942, 2545, 2031, 1037, 8846, 5614, 2011, 1996, 5013, 1010, 2009, 2089, 2022, 2919, 1012, 7192, 2393, 1004, 4031, 13460, 23416, 2075, 2005, 6358, 5974, 20637, 12521, 1013, 20637, 17134, 6555, 2064, 12911, 11641, 10247, 2005, 1037, 2307, 3437, 1024, 1011, 3073, 4751, 1010, 2490, 2007, 7604, 2030, 3167, 3325, 1012, 1011, 2065, 2017, 2342, 18856, 8486, 10803, 1010, 3198, 2009, 1999, 1996, 7615, 3482, 1012, 1011, 2009, 1005, 1055, 2531, 1003, 2489, 1010, 2053, 8819, 3223, 1012, 4081, 3980, 1013, 6998, 1024, 1996, 11641, 3310, 2006, 2021, 1996, 3233, 6279, 11641, 14358, 10253, 2180, 1005, 1056, 2735, 2006, 1012, 1045, 1000, 2310, 3724, 1996, 25141, 6462, 1025, 4895, 6806, 23461, 2673, 1010, 2164, 2128, 19321, 21046, 3070, 1996, 2064, 12911, 2021, 2009, 2145, 2180, 2102, 1005, 2272, 2006, 1012, 2151, 2060, 4784, 1029, 2011, 1996, 2126, 1010, 1045, 6283, 1996, 3976, 1010, 2021, 2009, 1005, 1055, 1996, 2190, 11641, 1045, 1005, 2310, 2412, 2018, 1011, 2926, 2043, 1045, 2031, 2093, 8328, 4667, 18551, 999, 4638, 1996, 11220, 8248, 2000, 2156, 2065, 2505, 2003, 5058, 2105, 2009, 1012, 2065, 2025, 1010, 2045, 2089, 2022, 1037, 6065, 4434, 2030, 7318, 2090, 1996, 2064, 12911, 1998, 1996, 2373, 2053, 17644, 1012, 1045, 7868, 2008, 1005, 1055, 1996, 25339, 2017, 1005, 2128, 7727, 2000, 1012, 1045, 2071, 2036, 2022, 1037, 28829, 6942, 1010, 2021, 8840, 2080, 1012, 1012, 1012, 11641, 2015, 3160, 2928, 2422, 2038, 2272, 2006, 2026, 11641, 1998, 2009, 2180, 2102, 2448, 1012, 1045, 2999, 1996, 4524, 1010, 2021, 2009, 2180, 2102, 2707, 1012, 1045, 2123, 1005, 1056, 2031, 1037, 2047, 11307, 2003, 2008, 1996, 3291, 1029, 1012, 1012, 1012, 16175, 25148, 11641, 2015, 2300, 2180, 2102, 2272, 2041, 1011, 20377, 23836, 6535, 24096, 1011, 1015, 4013, 20192, 2102, 18937, 13444, 10051, 4954, 1013, 4318, 11641, 1045, 2031, 1037, 4013, 20192, 2102, 1016, 2595, 1998, 2018, 1996, 2168, 3291, 1012, 1045, 2699, 1996, 2300, 15544, 12325, 4292, 1998, 2179, 2300, 2234, 2041, 1998, 2001, 10514, 7542, 2098, 7919, 1010, 2021, 2006, 1996, 2422, 4550, 1010, 3671, 4550, 1010, 1998, 3082, 4026, 10906, 1010, 1996, 3131, 3478, 2000, 2079, 2505, 1012, 3291, 2089, 2022, 2007, 1048, 1012, 1012, 1012, 20377, 23836, 6535, 24096, 1011, 1015, 4013, 20192, 2102, 18937, 13444, 10051, 4954, 1013, 4318, 11641, 2300, 2180, 2102, 2272, 2041, 1011, 20377, 23836, 10135, 20133, 2373, 18623, 2784, 20133, 11641, 4931, 17300, 999, 3374, 2017, 1005, 2128, 13417, 7669, 2007, 2115, 3698, 1012, 2057, 2031, 27547, 6904, 4160, 1005, 1055, 2000, 2393, 2017, 2007, 1996, 12509, 1012, 2182, 1005, 1055, 1037, 4248, 4957, 2000, 1996, 6904, 4160, 3931, 1024, 1032, 5890, 2629, 1032, 5890, 2475, 11039, 25856, 1024, 1013, 1013, 1059, 1012, 1012, 1012, 20377, 23836, 10135, 20133, 2373, 18623, 2784, 20133, 11641, 2026, 5887, 2423, 21290, 2003, 21601, 1998, 2180, 2102, 2272, 2041, 1029, 1011, 1040, 25385, 5887, 17788, 2035, 8158, 4524, 3238, 10051, 11641, 1012, 1012, 1012, 1040, 25385, 5887, 17788, 2035, 8158, 4524, 3238, 10051, 11641, 1045, 23657, 1996, 15129, 11641, 2000, 6271, 2041, 1998, 4550, 2104, 2026, 25416, 3089, 17643, 4263, 1010, 2043, 1045, 2404, 2009, 2067, 2009, 2180, 2102, 2272, 2006, 1010, 2123, 1005, 1056, 4025, 2000, 2022, 2893, 2151, 3751, 1012, 2191, 2469, 2115, 3751, 13354, 2003, 2145, 1999, 2173, 1012, 1012, 1012, 11641, 2015, 2300, 2030, 9344, 5576, 2180, 2102, 2272, 2041, 1011, 20377, 23836, 20317, 2692, 4013, 20192, 2102, 1016, 2595, 4550, 19040, 10051, 2784, 20133, 1010, 2417, 2022, 7389, 5104, 11641, 1012, 1012, 1012, 20377, 23836, 20317, 2692, 4013, 20192, 2102, 1016, 2595, 4550, 19040, 10051, 2784, 20133, 1010, 2417, 2022, 7389, 5104, 11641, 2300, 2180, 2102, 2272, 2041, 1996, 2053, 17644, 2015, 1011, 17443, 1042, 27009, 14526, 5492, 24887, 3781, 1012, 2064, 12911, 11641, 2049, 13354, 5999, 2039, 4873, 2247, 1996, 21290, 2030, 2025, 4198, 11178, 1012, 1012, 1012, 17443, 1042, 27009, 14526, 5492, 24887, 3781, 1012, 2064, 12911, 11641, 2300, 2180, 2102, 2272, 2041, 1042, 2080, 1996, 5492, 20133, 1012, 1011, 20377, 23836, 4013, 20192, 2102, 15386, 2784, 20133, 10051, 5492, 11641, 3046, 5815, 1037, 2795, 15642, 1997, 5474, 2000, 1996, 2300, 1012, 1012, 1012, 1012, 20377, 23836, 4013, 20192, 2102, 15386, 2784, 20133, 10051, 5492, 11641, 1045, 2219, 1037, 3449, 8586, 13153, 5602, 12875, 2692, 1012, 1996, 2373, 2422, 3310, 2006, 2021, 1996, 11641, 2180, 2102, 2707, 2034, 1010, 2735, 13764, 2006, 2327, 1997, 11641, 4675, 1011, 22839, 2061, 1996, 10479, 11089, 3210, 2039, 2007, 1996, 8612, 1012, 2156, 2065, 2009, 12237, 2006, 1012, 2065, 2025, 1010, 20010, 6776, 21290, 1998, 2735, 11641, 2006, 1012, 2173, 5340, 1997, 2192, 2058, 13822, 1012, 2065, 2009, 4332, 2125, 1010, 2009, 1005, 1055, 2825, 2008, 1996, 10868, 7176, 2000, 1056, 1012, 1012, 1012, 16175, 25148, 11641, 2015, 12659, 2422, 2746, 2013, 2073, 5047, 8539, 2000, 11641, 2008, 1005, 1055, 2019, 8875, 1037, 6627, 2052, 2031, 2000, 2298, 2012, 1012, 2065, 1996, 3698, 2003, 12125, 2075, 2919, 1010, 2424, 2115, 2334, 2326, 2415, 1012, 1012, 1012, 1012, 15129, 7209, 1043, 4524, 5999, 10051, 11641, 17839, 11641, 2026, 11641, 2074, 3013, 2125, 1998, 2085, 2009, 2180, 2102, 2707, 1012, 1045, 4508, 2045, 23818, 6462, 2021, 2498, 6433, 1045, 2031, 1016, 7199, 2214, 3919, 2718, 21046, 4318, 11641, 1999, 2026, 8395, 2119, 7287, 2615, 1998, 2119, 2180, 2102, 2707, 1012, 2119, 1045, 2001, 2409, 2020, 7609, 1999, 3304, 1998, 2119, 2031, 1037, 6410, 1998, 8285, 6942, 1012, 2009, 2038, 1037, 2304, 2327, 1010, 3138, 2019, 4589, 3259, 11307, 2503, 1998, 2049, 8026, 2003, 2601, 2630, 1012, 3374, 1045, 1005, 2310, 9471, 2669, 1996, 2944, 2193, 1012, 1045, 1005, 2310, 20456, 1996, 27930, 2021, 2009, 1005, 1055, 2986, 1010, 2071, 2009, 2022, 1996, 5013, 1998, 2129, 2079, 1045, 5114, 16222, 2074, 2202, 2009, 1999, 2000, 2115, 11641, 3573, 1012, 1012, 1012, 1012, 17443, 1057, 28311, 22275, 1011, 7706, 3612, 8525, 10087, 2140, 4524, 3238, 10051, 11641, 2031, 1040, 25385, 5887, 2403, 1012, 2043, 17010, 2000, 11641, 1010, 1996, 5047, 1998, 24599, 21290, 3310, 2185, 2013, 1996, 3131, 1012, 1996, 3291, 2318, 2043, 1996, 2210, 6379, 5526, 2094, 9203, 2112, 2006, 2392, 1997, 11641, 20133, 2157, 2917, 5047, 2234, 6065, 1998, 1037, 3500, 3062, 2041, 2013, 4873, 1011, 1011, 2123, 1005, 1056, 2113, 2073, 1012, 1045, 3724, 2006, 1996, 6379, 5526, 2112, 1998, 2009, 5941, 2067, 2006, 1012, 2085, 1010, 2064, 1005, 1056, 2131, 2009, 6065, 2153, 1010, 2123, 1005, 1056, 2113, 2073, 1996, 3500, 3632, 1010, 1998, 5047, 2145, 3310, 6065, 2013, 11641, 1012, 1045, 1005, 1049, 2025, 3893, 3251, 2030, 2025, 2023, 2003, 1996, 23967, 5047, 2138, 2045, 2024, 2195, 4617, 1997, 1996, 5887, 16932, 1012, 2174, 1996, 5080, 1996, 11223, 1998, 19829, 2015, 1996, 23967, 1999, 2173, 2003, 3492, 2714, 2090, 2035, 1996, 4617, 1012, 1996, 2034, 3861, 2003, 1996, 23967, 2128, 1012, 1012, 1012, 1040, 25385, 5887, 16932, 4111, 4524, 3238, 10051, 22330, 20464, 12356, 11641, 2058, 10808, 2422, 3310, 2006, 2004, 2574, 2004, 1045, 3046, 2000, 2735, 1996, 3131, 2006, 1012, 1045, 2031, 1037, 2771, 12260, 1055, 24087, 2620, 3165, 4231, 11641, 2008, 2038, 2069, 2042, 2109, 2320, 1998, 2009, 3844, 2125, 1998, 2097, 2025, 2272, 2067, 2006, 1012, 1996, 2058, 20192, 3436, 2422, 3310, 2006, 2004, 2574, 2004, 1045, 3046, 2000, 6942, 10898, 2006, 1996, 5047, 2030, 2735, 1996, 3131, 2006, 2012, 1996, 2064, 12911, 1010, 1998, 1996, 11641, 2097, 2025, 2448, 1012, 2079, 2017, 2031, 2151, 2801, 2054, 1996, 3291, 2003, 1029, 1012, 1012, 1012, 2771, 12260, 1055, 24087, 2620, 3165, 4231, 11641, 2180, 2102, 2272, 2006, 2030, 2994, 2006, 2202, 1037, 2298, 2012, 2026, 13460, 23416, 2075, 5009, 1012, 1012, 1012, 1012, 1032, 5890, 2629, 1032, 5890, 2475, 1032, 5890, 2629, 1032, 5890, 2475, 11039, 25856, 1024, 1013, 1013, 4391, 1012, 1041, 15907, 1012, 4012, 1013, 2691, 1011, 1052, 1012, 1012, 1012, 15129, 7209, 1043, 4524, 5999, 10051, 11641, 1996, 11641, 7270, 7906, 2746, 2041, 1997, 1996, 2067, 1997, 1996, 11641, 1998, 6900, 3632, 2035, 2058, 1012, 2129, 2079, 2017, 2644, 2009, 2013, 2746, 2041, 1029, 1996, 3722, 1998, 5793, 3437, 2000, 2033, 2003, 23245, 6823, 1012, 1032, 5890, 2629, 1032, 5890, 2475, 1032, 5890, 2629, 1032, 5890, 2475, 12399, 2063, 2323, 2022, 1037, 20010, 4765, 2030, 2714, 25635, 6512, 2006, 1996, 2112, 2017, 2024, 3331, 8273, 2102, 1012, 2009, 2089, 2022, 3714, 2030, 2017, 2089, 2025, 2022, 2893, 2009, 7919, 5117, 1012, 1032, 5890, 2629, 1032, 5890, 2475, 1012, 1012, 1012, 21142, 21064, 2692, 2050, 20446, 2050, 4524, 3238, 10051, 11641, 1045, 2031, 2019, 3080, 5470, 20389, 8111, 11641, 1012, 2043, 1045, 2735, 2006, 1996, 2373, 6462, 2026, 11641, 2515, 2025, 2272, 2006, 1012, 1996, 13307, 2573, 2092, 2007, 2060, 22449, 1012, 1045, 2031, 2109, 2009, 2525, 2651, 1998, 2043, 3048, 2000, 2178, 2282, 2009, 2052, 2025, 2272, 2006, 1012, 2054, 2003, 3308, 1029, 2026, 1018, 1061, 2099, 2214, 9152, 10270, 20573, 11641, 20133, 2038, 2042, 2551, 2986, 2039, 2127, 2085, 1012, 2021, 3402, 1010, 2009, 2038, 6684, 2151, 10514, 7542, 2373, 1998, 2036, 1010, 2980, 2250, 3849, 2000, 2022, 2746, 2041, 27046, 1996, 28287, 2006, 2327, 1998, 2036, 27046, 1996, 2686, 2008, 1005, 1055, 5373, 2109, 2005, 11221, 2250, 2041, 1012, 1012, 1012, 1012, 1996, 13307, 2007, 1996, 2128, 6494, 23576, 3104, 2284, 2485, 2000, 1996, 2112, 2073, 1996, 2373, 5830, 3310, 2041, 1997, 1998, 2128, 6494, 16649, 2046, 1012, 1045, 1005, 2310, 7039, 1996, 11307, 1998, 1996, 21290, 1998, 2027, 2024, 2025, 18856, 8649, 5999, 1012, 1012, 1012, 1045, 2031, 2036, 2404, 1999, 1037, 2047, 4524, 1012, 2025, 10326, 2000, 4965, 2178, 11641, 20133, 1057, 7632, 2045, 6047, 9453, 2278, 2013, 5912, 24887, 2226, 18163, 1012, 4012, 1012, 8740, 2182, 1012, 2009, 4165, 2066, 1037, 3796, 4270, 1997, 2070, 2785, 1012, 1996, 2190, 2126, 2000, 2424, 2009, 2003, 2000, 2275, 1996, 3698, 2039, 2005, 3671, 11641, 2075, 1998, 6366, 1051, 1012, 1012, 1012, 11641, 2015, 2026, 20377, 23836, 4013, 20192, 2102, 1016, 2595, 2180, 2102, 11641, 2039, 2300, 2045, 2003, 1037, 14257, 1006, 2788, 3504, 2066, 1037, 2417, 3608, 1007, 2008, 9466, 2039, 2065, 2300, 2003, 1999, 5473, 1997, 2893, 2000, 1996, 5013, 1012, 2823, 2027, 6293, 1012, 1012, 2507, 2009, 1037, 26202, 2000, 2489, 2009, 2039, 1012, 1032, 5890, 2629, 1032, 5890, 2475, 1032, 5890, 2629, 1032, 5890, 2475, 8095, 1996, 2190, 1010, 1032, 5890, 2629, 1032, 5890, 2475, 1032, 5890, 2629, 1032, 5890, 2475, 21724, 1012, 1012, 1012, 20377, 23836, 20317, 2692, 4013, 20192, 2102, 1016, 2595, 4550, 19040, 10051, 2784, 20133, 1010, 2417, 2022, 7389, 5104, 11641, 1040, 25385, 5887, 21926, 11641, 3844, 2125, 1998, 2234, 2006, 1012, 2245, 2009, 2001, 1037, 3291, 2012, 1996, 5992, 13307, 2004, 2043, 3048, 13354, 2009, 2052, 2272, 2006, 2153, 1012, 2464, 2064, 12911, 2001, 2440, 1010, 21764, 2009, 1998, 11609, 2001, 3243, 13354, 5999, 2039, 2061, 16826, 2041, 1996, 6900, 1012, 2018, 3899, 13606, 1999, 2009, 2004, 2092, 2004, 2070, 11289, 1045, 2018, 2074, 11641, 2098, 1012, 13354, 5999, 3131, 1999, 2153, 1998, 4508, 6942, 1012, 2097, 2025, 2272, 2006, 1012, 2699, 2178, 13307, 1012, 2003, 2045, 1037, 25141, 6462, 4873, 2030, 2071, 1996, 11289, 2031, 8243, 1996, 5013, 1012, 2054, 2064, 1045, 3046, 4661, 2635, 2009, 2000, 1037, 7192, 26822, 1012, 1012, 1012, 1040, 25385, 5887, 21926, 4524, 3238, 2064, 12911, 22330, 20464, 12356, 11641, 1996, 2434, 5583, 2006, 2026, 10051, 6358, 5974, 6555, 3631, 1998, 1045, 2999, 2009, 2007, 1996, 8622, 2008, 2001, 1999, 1996, 11641, 1012, 1996, 11641, 1998, 8622, 5583, 2024, 2055, 2184, 2086, 2214, 1012, 2059, 1996, 8622, 3631, 2044, 2028, 11641, 2075, 5219, 1998, 2045, 2001, 1037, 5255, 5437, 2746, 2013, 1996, 11641, 1012, 1045, 3641, 2047, 18000, 1998, 2999, 2009, 2007, 1996, 2047, 5583, 1012, 2009, 3849, 2000, 2022, 2551, 2986, 2007, 2053, 5437, 1012, 1045, 7039, 1996, 5583, 2044, 1045, 11641, 2098, 1996, 2155, 2282, 1998, 2348, 2009, 2001, 1999, 11937, 6593, 1010, 1996, 5583, 2001, 2200, 2980, 1012, 2003, 2008, 3671, 1029, 2323, 1056, 1996, 5583, 18559, 2039, 2349, 2000, 1996, 15012, 1010, 2004, 2092, 2004, 2108, 1999, 3967, 2007, 1996, 9093, 1997, 1037, 2980, 5013, 1012, 2009, 2003, 3671, 1012, 1012, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 15524, 1064, 3444, 1017, 3971, 2000, 5333, 2769, 2005, 6627, 1999, 1996, 9823, 2043, 2816, 2342, 2974, 1998, 4733, 2064, 1005, 1056, 3073, 2009, 1010, 2823, 1996, 2069, 2126, 2000, 2424, 1996, 5029, 2003, 2000, 2131, 5541, 1012, 1011, 2011, 22939, 2078, 8040, 3270, 4246, 13821, 2121, 1001, 2065, 19603, 7878, 16102, 3995, 8649, 23115, 27102, 2001, 2125, 2000, 2019, 2220, 2599, 2007, 2176, 6149, 6998, 2012, 1996, 2028, 3178, 2928, 1999, 1996, 6627, 3945, 2283, 1012, 2021, 2043, 1996, 5119, 2018, 2633, 2448, 2049, 2607, 2048, 2847, 2013, 1996, 2617, 1996, 8040, 10696, 11392, 5690, 2018, 5625, 1010, 2009, 2001, 1996, 27013, 9588, 2015, 2040, 2180, 1996, 3296, 15524, 2971, 1012, 1996, 2613, 4791, 1010, 2174, 1010, 2020, 1996, 2974, 3454, 1999, 2093, 2816, 1999, 2624, 3799, 2008, 2052, 3975, 1996, 1002, 2321, 1010, 2199, 1011, 4606, 2992, 1012, 1996, 6627, 3945, 2283, 2001, 2028, 6687, 1005, 1055, 2801, 2005, 11717, 1996, 2769, 2010, 4268, 1005, 2816, 2734, 2000, 2131, 2037, 2398, 2006, 2974, 1012, 2021, 2009, 1005, 1055, 2025, 1996, 2069, 2126, 2008, 2111, 2024, 6274, 1996, 5029, 2027, 2342, 2000, 4965, 2047, 6718, 1998, 2731, 2000, 5587, 2974, 2046, 1996, 9823, 1012, 1037, 3836, 1999, 5392, 2109, 4306, 11263, 15683, 2609, 17843, 9905, 9232, 2000, 9699, 2070, 1997, 1996, 4804, 2016, 2734, 2000, 3288, 18546, 17470, 2046, 2014, 2959, 3694, 1025, 1998, 1037, 5066, 3694, 2394, 3836, 1999, 9774, 2109, 16393, 13013, 2015, 1010, 1037, 8276, 2124, 4306, 11263, 15683, 2609, 1010, 2000, 5333, 1996, 2769, 2000, 4965, 1037, 2047, 9823, 2622, 2953, 1012, 1999, 2169, 2553, 1996, 2212, 2481, 1005, 1056, 3073, 1996, 2974, 5166, 2734, 2005, 2122, 19530, 1010, 2061, 3633, 2165, 2006, 1996, 3105, 1997, 2725, 2009, 3209, 1012, 1996, 10800, 2027, 1005, 2310, 2035, 4342, 1024, 2065, 2027, 2064, 2079, 2009, 1010, 1996, 2717, 1997, 2149, 2064, 2205, 1012, 1002, 2321, 1010, 2199, 2007, 1037, 8040, 10696, 11392, 5690, 6627, 3945, 2283, 6818, 11989, 2058, 1037, 9789, 1012, 25039, 5999, 2004, 1000, 1996, 2088, 1005, 1055, 29294, 10458, 8040, 10696, 11392, 5690, 1010, 1000, 1996, 6627, 3945, 2283, 2003, 1996, 4167, 19339, 1997, 5199, 3044, 1010, 1037, 6627, 2270, 2923, 2040, 3216, 5783, 10975, 1012, 1996, 2337, 1022, 2724, 3881, 2322, 1011, 2070, 2780, 2000, 25740, 2105, 1996, 2624, 3799, 5101, 1997, 2053, 2063, 3028, 1010, 2667, 2000, 3437, 1037, 2186, 1997, 15774, 2027, 1005, 2128, 2445, 2012, 1996, 2927, 1997, 1996, 2679, 1012, 2005, 2742, 1010, 2028, 9789, 2023, 2095, 2001, 1024, 1000, 10225, 25318, 1998, 21860, 13565, 2119, 2031, 8148, 1012, 1000, 1996, 3437, 1024, 2119, 2031, 26264, 2015, 1997, 8148, 1012, 1996, 3295, 1996, 2136, 2018, 2000, 2424, 2001, 3239, 4160, 23569, 8462, 11129, 1012, 2216, 2040, 6618, 2041, 1996, 11989, 2099, 2179, 1037, 3696, 19195, 2008, 2755, 2012, 1996, 3295, 1025, 2027, 1005, 1040, 2202, 1037, 3861, 1997, 1996, 3696, 2007, 2037, 6047, 11640, 1998, 4604, 2009, 2000, 2019, 10373, 4769, 2275, 2039, 2005, 1996, 6686, 1010, 17785, 2011, 6794, 1006, 2164, 3044, 1005, 1055, 2564, 1007, 1012, 2296, 2085, 1998, 2059, 2802, 1996, 3944, 1010, 3044, 2052, 1056, 28394, 2102, 1037, 9374, 2000, 10584, 1006, 1000, 15313, 2003, 2036, 8148, 1000, 1007, 2096, 3173, 2457, 2013, 1996, 3332, 2835, 1997, 1996, 3028, 13090, 1010, 1037, 2759, 3347, 1999, 1996, 5101, 1012, 2023, 2003, 1996, 3587, 2095, 1996, 2724, 2038, 2579, 2173, 1010, 2467, 1999, 1996, 2168, 5101, 1998, 2467, 2007, 3044, 2012, 1996, 16254, 1012, 2002, 3310, 2039, 2007, 1996, 5269, 1998, 15774, 1012, 2002, 4152, 6656, 2013, 1996, 5661, 7154, 2012, 1996, 11596, 2061, 2027, 1005, 2128, 2025, 4527, 2043, 2780, 1997, 2176, 2030, 2416, 2707, 4760, 2039, 2012, 2037, 2341, 15790, 7760, 1997, 1996, 8829, 1012, 2002, 3846, 2039, 12026, 2015, 1998, 11580, 1012, 1998, 2002, 2398, 2058, 1996, 2769, 2992, 2000, 1996, 6687, 1011, 3836, 8924, 2005, 2093, 3841, 12879, 24108, 5134, 1010, 2632, 24516, 3527, 4732, 2082, 1010, 2508, 15385, 2690, 2082, 1998, 5832, 4732, 2082, 1012, 2011, 2197, 2095, 1996, 28536, 2018, 7013, 1037, 2561, 27097, 1002, 2753, 1010, 2199, 2083, 1037, 5257, 1997, 12026, 2015, 1998, 2136, 8819, 9883, 1997, 1002, 2753, 2030, 1002, 4293, 17928, 26005, 5834, 2006, 2946, 1012, 1996, 2816, 3209, 5630, 2129, 2027, 1005, 2128, 2183, 2000, 5247, 1996, 5029, 1012, 2023, 2095, 1010, 3044, 2758, 2035, 1997, 1996, 2816, 4025, 2000, 2215, 2000, 5247, 1996, 2769, 2006, 3836, 2731, 1998, 2658, 2458, 1012, 1000, 1996, 8051, 1998, 4007, 6502, 2038, 2042, 2893, 2488, 2058, 1996, 2086, 1010, 1000, 2002, 3264, 1012, 2085, 2008, 2027, 1005, 2128, 2041, 1997, 1000, 13012, 4270, 5549, 1010, 1000, 1996, 5089, 2215, 2000, 4553, 2129, 2000, 2224, 2974, 2488, 1999, 1996, 9823, 1012, 2206, 1996, 5049, 1010, 3044, 2056, 2002, 24273, 2008, 2320, 2153, 2002, 1005, 2222, 2963, 2013, 2060, 2816, 1998, 4733, 2008, 2215, 2000, 2404, 2006, 1037, 2714, 2724, 1010, 2021, 2061, 2521, 2045, 4033, 1005, 1056, 2042, 2116, 2202, 2869, 1012, 2044, 2035, 1010, 2002, 2685, 2041, 1010, 2002, 2038, 2019, 5875, 5257, 1997, 4813, 1010, 2028, 2008, 13585, 1037, 2476, 1999, 1996, 6627, 2449, 2007, 2019, 3037, 1999, 2495, 2974, 1012, 4606, 1010, 2002, 1005, 1055, 2485, 2000, 13773, 3028, 1010, 1998, 2002, 1005, 1055, 2025, 4452, 2000, 2718, 2039, 3316, 2000, 2156, 2065, 2027, 1005, 2222, 10460, 1996, 2724, 1012, 2002, 1005, 1055, 2741, 22028, 2125, 2000, 1996, 5766, 2015, 1997, 6207, 1010, 4341, 14821, 1010, 8224, 1010, 1998, 7564, 1997, 2060, 3316, 2312, 1998, 2235, 1999, 2010, 3945, 2005, 12026, 6363, 1998, 11580, 1012, 8224, 2038, 2468, 1037, 9377, 10460, 1025, 2023, 2095, 2036, 2387, 2490, 2013, 2019, 2044, 1011, 2082, 27226, 2565, 1010, 1037, 7872, 4252, 2194, 2008, 3594, 13507, 1999, 2495, 1010, 2019, 2009, 2578, 1998, 2640, 3813, 1010, 1037, 2334, 2924, 1998, 1037, 2194, 2073, 3008, 2064, 2424, 3336, 28032, 7747, 1012, 28297, 12778, 1012, 2044, 2706, 1997, 2667, 2000, 2131, 12026, 3037, 2013, 1996, 3585, 2110, 6424, 1010, 1996, 9182, 4013, 3455, 2136, 1010, 1998, 4994, 2498, 1010, 3044, 2741, 1037, 4471, 2125, 2000, 1996, 5766, 2040, 5838, 2008, 1996, 2724, 5015, 1000, 4658, 1012, 1000, 2002, 10507, 1005, 1040, 8307, 2842, 1999, 2010, 3433, 2040, 2056, 1996, 2136, 2134, 1005, 1056, 2031, 2151, 2769, 2000, 2079, 1037, 12026, 2023, 2095, 1010, 2021, 3253, 9735, 2612, 1012, 2061, 2028, 1997, 1996, 11580, 2023, 2095, 2003, 1037, 14012, 2008, 2950, 2176, 9735, 2000, 6424, 2399, 2005, 2279, 2161, 1010, 2247, 2007, 2176, 9735, 2000, 2624, 3799, 7230, 2399, 1010, 1998, 1037, 3074, 1997, 12202, 9475, 2399, 2013, 1057, 18477, 15794, 1012, 2060, 11580, 3579, 2006, 2833, 1998, 4511, 1010, 6023, 1998, 4439, 1012, 3044, 1005, 1055, 2048, 4268, 2031, 2333, 2006, 2013, 1996, 2816, 2008, 2024, 1996, 3841, 12879, 24108, 5134, 1010, 2021, 2002, 2056, 2002, 4247, 1996, 3947, 2138, 2002, 7777, 1000, 2108, 2019, 2742, 1000, 2005, 2068, 1012, 1000, 2009, 1005, 1055, 2025, 2066, 1045, 2064, 4339, 1037, 4638, 2000, 2816, 2005, 15295, 1997, 5190, 1997, 6363, 1010, 2021, 1045, 2064, 5333, 2070, 2769, 2023, 2126, 1012, 1000, 1002, 1015, 1010, 2199, 2007, 17843, 9905, 9232, 23689, 4213, 14228, 2063, 4732, 2082, 2648, 1997, 6734, 1010, 2030, 1010, 2073, 9396, 2829, 12011, 2959, 3694, 1010, 2038, 7964, 2049, 8346, 1997, 2974, 2046, 1996, 9823, 1012, 1996, 2082, 1010, 2029, 2038, 1037, 2379, 1011, 2753, 3867, 2489, 1011, 1998, 1011, 4359, 1011, 6265, 2313, 1010, 2038, 1037, 3274, 6845, 2007, 2382, 6681, 1998, 2318, 2041, 2007, 1037, 6097, 8654, 11122, 1998, 2019, 25249, 11122, 1012, 2004, 2829, 4197, 2041, 1010, 1996, 11122, 3921, 2347, 1005, 1056, 15502, 1012, 1000, 2017, 2018, 2000, 3696, 2039, 2005, 2216, 1010, 2175, 2091, 1010, 2131, 2068, 1010, 2933, 2005, 2009, 1998, 2228, 2055, 2043, 2017, 2359, 2000, 2079, 2035, 2008, 1012, 1000, 6360, 1010, 1996, 2082, 2234, 2000, 5382, 2008, 1996, 2974, 2734, 2000, 2022, 2062, 7801, 1010, 2029, 3214, 1999, 1996, 9823, 1012, 2061, 1996, 8417, 1997, 1996, 25568, 2020, 4487, 2615, 13469, 2094, 2039, 1010, 1998, 2296, 3836, 3092, 2039, 2007, 2055, 2176, 6097, 2015, 1998, 2176, 25249, 2015, 1012, 2076, 1996, 2621, 1010, 2829, 2165, 1037, 2465, 2006, 2478, 18546, 17470, 2000, 6570, 1996, 2691, 4563, 8882, 1012, 2016, 2056, 2008, 2288, 2014, 7568, 2055, 10449, 18546, 17470, 2046, 1996, 9823, 1012, 2043, 2016, 2356, 1996, 2212, 2000, 2131, 2070, 2005, 2014, 1010, 2016, 2001, 2445, 1996, 2919, 2739, 1024, 1000, 2045, 1005, 1055, 2053, 2769, 1025, 2298, 2012, 3015, 8624, 1012, 1000, 2061, 2016, 2165, 1037, 3946, 1011, 3015, 2465, 1998, 4342, 2055, 1996, 2167, 18856, 8684, 8067, 2015, 2495, 3192, 1010, 1037, 2512, 1011, 5618, 2008, 3314, 3836, 27226, 8624, 1010, 2426, 2049, 2060, 4804, 4073, 1012, 2144, 17362, 1999, 2008, 2832, 2131, 4469, 2685, 2005, 4531, 9844, 5029, 2013, 2178, 3120, 1010, 2829, 5411, 1996, 3954, 1997, 1037, 4007, 2458, 2194, 1517, 8307, 1999, 2014, 3167, 2897, 1517, 2040, 3530, 2000, 2674, 3649, 1996, 3192, 2435, 2014, 1012, 1999, 2008, 2126, 1010, 2829, 2992, 1002, 1016, 1010, 2199, 2007, 2029, 2016, 4156, 2698, 19102, 18546, 17470, 1012, 1996, 6349, 2347, 1005, 1056, 3432, 2000, 4965, 5733, 1025, 2009, 2001, 2000, 4965, 5733, 1999, 2344, 2000, 2393, 1996, 2493, 3443, 6876, 2000, 6570, 3424, 1011, 18917, 1012, 3110, 27999, 2055, 2014, 16746, 1010, 2829, 2787, 2000, 2175, 2005, 2019, 2130, 2184, 5733, 2011, 6224, 4804, 2083, 17843, 9905, 9232, 2000, 4965, 2093, 2062, 18546, 17470, 1012, 17843, 9905, 9232, 2003, 1037, 4773, 1011, 2241, 2326, 2008, 4473, 5089, 2000, 2695, 2037, 9823, 3791, 1998, 14017, 28775, 2102, 5029, 2013, 17843, 2000, 3477, 2005, 2068, 1012, 2065, 1037, 2622, 2987, 1005, 1056, 2131, 3929, 6787, 1010, 1996, 17843, 4995, 1005, 1056, 5338, 1006, 2295, 2027, 1005, 2128, 6628, 2000, 6611, 2037, 16393, 2015, 2000, 2060, 3934, 1007, 1012, 23689, 4213, 14228, 2063, 4732, 2082, 3836, 9396, 2829, 2357, 2000, 17843, 9905, 9232, 2000, 5333, 2769, 2000, 4965, 18546, 17470, 2005, 2014, 9823, 1012, 2004, 9449, 1999, 2014, 3946, 1011, 3015, 2607, 1010, 2829, 3273, 1996, 2060, 3934, 2008, 2179, 4804, 1998, 3603, 2008, 4293, 3867, 1997, 1996, 2051, 3934, 2275, 2012, 2105, 1996, 1002, 5385, 2928, 2020, 3144, 1012, 2016, 2275, 1996, 3125, 1997, 2014, 2622, 1010, 1000, 2974, 2646, 1037, 20716, 2489, 4224, 1010, 1000, 2012, 1002, 1015, 1010, 2199, 1012, 2000, 5326, 1996, 15524, 1010, 2829, 2741, 2041, 1037, 2186, 1997, 3167, 22028, 2000, 2814, 1998, 2945, 9990, 1996, 2622, 1998, 4346, 6747, 2006, 1996, 6666, 1997, 2974, 1999, 2551, 2007, 2659, 1011, 3318, 2493, 1012, 1000, 1045, 2052, 2360, 1996, 9625, 1997, 2026, 11440, 2234, 2013, 2008, 1010, 1000, 2016, 2056, 1012, 2016, 2036, 2741, 2041, 2048, 22028, 17928, 26005, 2000, 1996, 3008, 1997, 2014, 2493, 1998, 1996, 3738, 1997, 1996, 6687, 1011, 3836, 3029, 1012, 2096, 2016, 2036, 24928, 1996, 2622, 2006, 9130, 1010, 2016, 2056, 2016, 2987, 1005, 1056, 2903, 2016, 7013, 1000, 1037, 2878, 2843, 1997, 3037, 1000, 2008, 2126, 1010, 1000, 2021, 2017, 2196, 2113, 1012, 1000, 2011, 2220, 2337, 1010, 1996, 2622, 2001, 3929, 6787, 1012, 1999, 2755, 1010, 2045, 2001, 1037, 2978, 1997, 4469, 4804, 1012, 2061, 4998, 2013, 2437, 2019, 11887, 13445, 2000, 17843, 9905, 9232, 2000, 2490, 2049, 2147, 1010, 2829, 2001, 2036, 2583, 2000, 5309, 1037, 2093, 1011, 2095, 6105, 2005, 3229, 2000, 1037, 4773, 1011, 2241, 2968, 10122, 2013, 8224, 2008, 4473, 2019, 8911, 2000, 9530, 8873, 27390, 2063, 1010, 2650, 1998, 6133, 1996, 18546, 17470, 1012, 1002, 5385, 2007, 16393, 13013, 2015, 2043, 6253, 23564, 3567, 2253, 2000, 10296, 2012, 2225, 7363, 6344, 2690, 2082, 1999, 9774, 1010, 2016, 1998, 1996, 2060, 5089, 2020, 2409, 2008, 2348, 2169, 2052, 4374, 1037, 12191, 1010, 25249, 1998, 2622, 2953, 1010, 1996, 2622, 5668, 1000, 2020, 1037, 18503, 1012, 1000, 2027, 2020, 2061, 2214, 1010, 2016, 2657, 1010, 2008, 4531, 6110, 2422, 25548, 2071, 2022, 1037, 2613, 4119, 1012, 2023, 2001, 1037, 15298, 5688, 2013, 2014, 3025, 2082, 1010, 2029, 2001, 8966, 2007, 1000, 2035, 1996, 10118, 1998, 13300, 2015, 1997, 2974, 1012, 1000, 2469, 2438, 1010, 2220, 2006, 1010, 1996, 2622, 2953, 1005, 1055, 20581, 2435, 2041, 1010, 1998, 23564, 3567, 2787, 2009, 2453, 2022, 25670, 2005, 2014, 2000, 2272, 2039, 2007, 1996, 4804, 2000, 4965, 1037, 2047, 2622, 2953, 2084, 2000, 5690, 2005, 1037, 1000, 4394, 2422, 20581, 1012, 1000, 2348, 23564, 3567, 2001, 1037, 5470, 1997, 17843, 9905, 9232, 1010, 2029, 2016, 1005, 1055, 2109, 1999, 1996, 2627, 1000, 2200, 5147, 1010, 1000, 2023, 2051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2524, 2004, 2009, 2003, 2000, 2113, 2054, 2000, 2360, 2055, 2023, 2733, 1005, 1055, 2053, 1012, 1015, 1010, 2009, 2003, 2130, 6211, 2000, 2113, 2129, 2000, 3857, 2039, 2000, 2009, 1012, 10514, 26989, 3401, 2009, 2000, 2360, 2009, 2003, 9832, 2008, 2017, 2097, 2156, 1037, 2718, 2023, 2095, 2191, 2019, 4254, 2004, 2502, 2004, 2023, 2028, 1012, 2053, 2625, 2590, 2295, 2003, 1996, 2717, 1997, 1996, 3673, 1010, 2260, 2047, 10445, 1010, 1020, 7105, 2545, 1998, 1015, 2512, 1011, 2693, 2099, 1012, 2053, 1012, 4029, 1006, 1011, 1011, 1007, 6287, 2317, 1011, 1045, 2069, 2215, 2000, 2022, 2007, 2017, 6287, 2317, 1005, 1055, 2117, 2718, 1997, 1996, 2095, 1998, 3402, 2002, 4858, 2370, 2006, 1037, 3673, 4897, 1012, 1996, 3582, 6279, 2000, 3218, 2054, 2017, 25250, 6017, 1996, 2034, 2051, 2002, 2038, 2018, 5486, 2327, 2871, 4978, 2144, 3301, 1011, 2126, 2126, 2067, 1999, 2010, 3673, 4931, 10259, 1012, 2053, 1012, 4090, 1006, 1011, 1011, 1007, 9454, 5470, 20464, 12083, 1011, 11463, 8261, 4797, 1037, 6160, 2067, 2044, 1037, 2146, 3338, 2005, 9454, 5470, 20464, 12083, 1012, 2044, 1037, 2204, 3066, 1997, 2811, 3086, 2027, 2034, 3631, 2083, 1999, 2889, 2007, 2037, 2201, 2316, 4213, 7446, 2229, 4226, 2029, 1999, 2116, 3971, 2001, 2028, 1997, 1996, 4042, 1997, 1996, 3690, 1012, 1996, 2069, 2502, 2718, 2013, 2008, 2001, 2054, 2017, 2079, 2000, 2033, 2029, 2081, 2053, 1012, 2861, 1999, 2337, 2826, 1998, 2009, 2001, 2025, 2127, 2238, 2857, 2008, 2027, 12568, 2153, 2007, 2557, 2029, 6601, 1999, 1996, 2168, 2173, 1012, 2085, 1996, 2316, 3673, 2320, 2062, 2007, 2037, 2353, 2327, 2871, 2718, 1999, 2176, 2086, 1012, 4298, 2028, 1997, 1996, 2190, 2329, 4996, 2196, 2000, 2031, 3243, 2081, 2009, 1012, 2053, 1012, 3943, 1006, 1011, 1011, 1007, 24372, 1011, 7136, 24372, 2064, 2428, 2079, 2053, 3308, 2012, 1996, 2617, 2007, 2037, 2201, 12894, 3442, 2046, 1996, 2327, 2184, 2206, 1996, 2713, 1997, 2054, 2442, 2022, 2028, 1997, 1996, 3895, 1997, 1996, 2095, 2061, 2521, 1011, 1999, 20915, 28394, 3678, 2029, 2718, 1996, 2327, 2322, 2067, 1999, 2254, 1012, 2037, 2117, 3673, 2718, 2097, 2763, 9015, 2013, 4599, 2525, 2383, 4149, 1996, 2201, 2975, 2023, 2047, 2309, 2000, 2468, 1037, 3760, 2718, 1012, 2053, 1012, 2861, 1006, 2676, 1007, 15934, 1016, 2613, 1011, 14783, 1996, 2433, 7630, 23061, 2213, 1997, 15934, 1016, 2613, 2003, 4415, 3225, 2000, 2202, 2049, 9565, 2004, 2037, 6745, 2718, 16510, 2015, 2013, 2049, 2834, 2000, 2468, 2037, 2034, 2309, 2025, 2000, 2191, 1996, 2327, 2322, 1012, 2053, 1012, 2756, 1006, 1011, 1011, 1007, 23025, 2050, 3000, 1011, 2028, 2023, 3203, 2038, 2042, 4251, 2005, 2521, 2205, 2146, 2009, 3849, 1012, 23025, 2050, 3000, 2034, 2718, 2502, 2067, 1999, 2997, 2007, 2014, 2834, 2718, 2026, 2028, 17232, 2029, 2081, 2053, 1012, 1021, 1999, 2238, 2008, 2095, 1012, 2016, 2628, 2008, 2007, 1037, 5164, 1997, 2327, 2871, 4978, 2127, 1996, 3673, 6885, 2015, 3402, 2150, 3760, 2875, 1996, 2203, 1997, 2889, 1012, 2016, 13605, 2067, 1999, 2857, 1010, 4192, 2000, 1996, 2327, 2322, 2007, 2196, 2371, 2066, 2023, 2077, 1998, 2085, 2044, 1037, 2048, 2095, 6438, 7085, 1037, 4435, 2047, 2309, 2000, 2507, 2014, 1996, 5066, 2327, 2382, 2718, 1997, 2014, 2476, 1012, 1031, 2009, 2003, 4498, 2825, 1045, 2626, 2008, 2302, 2383, 2657, 2009, 1010, 6516, 1996, 3768, 1997, 4431, 2000, 1996, 2755, 2008, 1996, 2309, 2001, 1037, 7490, 3969, 7613, 1997, 1996, 3297, 23343, 2299, 1033, 1012, 2053, 1012, 2676, 1006, 1011, 1011, 1007, 2978, 3723, 17602, 1011, 2058, 1996, 2314, 1037, 2047, 2718, 2309, 2005, 2978, 3723, 17602, 1010, 1996, 6484, 15662, 3063, 3603, 2011, 1057, 2497, 12740, 1998, 2040, 2034, 2718, 1999, 2857, 2007, 2010, 2544, 1997, 2009, 7906, 24057, 1012, 1037, 2582, 5164, 1997, 2718, 3895, 2628, 1010, 1996, 2197, 1997, 2029, 2001, 2054, 3310, 2105, 2029, 2081, 2053, 1012, 4029, 1999, 2257, 2807, 1012, 2010, 2047, 2309, 4150, 2178, 2327, 2382, 2718, 1010, 2672, 2025, 2007, 1996, 4022, 2000, 2468, 2004, 2502, 2004, 2070, 1997, 2010, 2500, 1010, 2093, 1997, 2029, 2031, 2042, 2327, 2184, 1012, 2053, 1012, 2423, 1006, 1011, 1011, 1007, 6986, 2080, 7221, 2669, 2007, 5464, 5074, 1011, 25054, 2980, 4363, 2650, 1997, 6986, 2080, 7221, 2669, 1005, 1055, 2476, 2003, 24026, 2000, 2360, 1996, 2560, 1012, 5834, 2006, 2129, 2017, 2298, 2012, 2009, 2023, 2003, 2593, 2010, 2117, 2030, 2010, 2353, 2718, 2309, 1012, 2010, 2034, 2001, 5121, 2197, 7114, 1005, 1055, 2053, 1012, 1015, 2544, 1997, 3336, 2272, 2067, 2029, 2150, 2028, 1997, 1996, 5221, 4978, 1997, 2197, 2095, 1012, 2017, 2064, 7475, 2008, 2010, 2117, 3673, 3311, 2001, 2010, 4113, 9680, 2006, 12072, 1005, 1055, 2023, 11762, 2299, 2029, 2081, 2053, 1012, 2321, 1999, 2337, 2005, 2029, 2002, 28667, 2666, 7178, 1037, 3673, 4923, 1012, 15835, 2295, 2023, 2003, 2010, 2117, 2309, 2713, 1999, 2010, 2219, 2157, 1010, 27025, 2039, 2007, 5464, 5074, 2005, 1037, 7199, 3153, 1011, 16865, 4383, 3538, 1997, 15662, 2029, 6854, 2515, 2025, 2031, 1996, 3673, 5574, 1997, 2010, 2834, 2718, 1012, 2053, 1012, 2570, 1006, 1011, 1011, 1007, 22677, 7990, 1040, 1005, 12098, 3762, 1011, 3173, 2006, 2000, 2017, 2010, 2047, 2566, 28479, 3746, 2001, 11521, 2067, 1999, 2337, 2043, 2002, 3591, 2019, 2400, 2012, 1996, 28101, 2015, 5103, 1998, 2085, 23746, 2094, 3544, 2067, 1999, 1996, 6093, 2007, 1996, 2034, 2309, 2013, 2010, 2959, 2201, 1012, 2002, 3266, 1996, 4895, 15222, 8950, 5243, 3468, 1998, 2357, 2010, 2476, 2105, 1999, 2857, 2007, 2053, 2625, 2084, 2176, 2327, 2322, 4978, 2013, 2010, 2197, 2201, 1010, 7065, 2545, 2075, 1996, 10439, 20486, 14626, 10866, 2304, 4920, 2010, 2476, 2018, 18172, 16687, 2046, 1999, 2960, 2007, 1996, 2713, 1997, 2010, 16775, 4445, 3869, 4496, 5771, 2201, 1012, 2085, 5854, 2000, 2010, 5372, 8294, 2002, 2003, 4823, 2066, 2019, 4850, 2006, 2004, 2116, 2444, 2694, 3065, 2004, 2825, 2029, 13956, 3173, 3031, 2017, 2046, 1996, 6093, 2012, 1996, 2168, 2391, 2004, 2010, 2197, 2718, 3913, 2014, 2091, 3733, 1999, 2281, 2857, 1012, 2009, 2003, 4276, 10397, 2008, 1999, 2997, 2002, 2018, 2019, 2137, 2053, 1012, 1015, 2007, 10261, 2092, 1012, 2053, 1012, 2539, 1006, 2322, 1007, 10245, 3794, 2621, 1011, 1996, 2034, 1996, 2197, 12715, 2348, 2381, 6524, 9294, 2005, 2505, 2073, 1996, 6093, 2024, 4986, 2009, 2003, 5875, 2000, 3602, 2008, 1037, 2309, 2173, 7105, 2005, 10245, 2038, 17659, 1997, 2037, 2197, 2718, 6160, 2000, 4826, 6589, 3254, 1010, 2635, 1021, 3134, 2000, 3362, 2049, 9523, 3673, 4672, 1012, 2071, 1996, 2168, 2022, 6230, 2182, 1029, 2053, 1012, 2324, 1006, 1011, 1011, 1007, 3722, 9273, 1011, 1044, 22571, 17048, 5084, 1996, 2117, 2718, 1997, 1996, 2095, 2005, 3722, 9273, 2040, 2024, 4415, 2183, 2000, 7392, 2091, 1999, 1037, 9410, 1997, 17918, 3895, 2127, 2012, 2560, 2397, 2621, 1012, 2037, 3340, 4025, 2000, 2022, 1999, 1996, 2004, 23865, 4630, 2295, 2007, 2016, 1005, 1055, 1037, 2314, 3352, 2037, 2034, 2137, 3673, 2718, 2005, 1037, 2204, 2193, 1997, 2086, 1012, 2053, 1012, 2459, 1006, 2538, 1007, 13240, 5524, 1011, 2065, 2017, 2293, 2033, 1996, 5257, 1997, 2093, 3057, 1010, 1049, 3501, 3501, 2636, 1998, 1037, 2738, 18783, 2299, 13956, 13240, 5524, 1999, 1996, 2157, 3257, 2000, 2507, 2068, 1037, 2327, 2322, 2718, 2034, 2051, 2041, 1012, 2582, 18881, 2071, 2025, 2022, 2041, 1997, 1996, 3160, 2593, 1012, 2053, 1012, 2260, 1006, 1018, 1007, 24550, 19542, 1011, 2228, 3807, 4415, 2183, 2046, 2489, 2991, 2085, 2003, 24550, 19542, 1005, 1055, 13164, 16584, 1012, 2049, 3673, 26906, 2003, 2107, 2008, 2023, 2003, 1996, 2034, 2733, 2009, 2038, 2025, 2042, 1999, 1996, 2327, 2184, 2144, 2220, 2285, 1012, 2053, 1012, 1023, 1006, 1021, 1007, 11555, 1011, 3336, 2009, 1005, 1055, 2017, 1996, 8742, 2058, 1010, 1996, 11555, 2202, 1037, 28388, 1012, 2009, 25931, 2987, 1005, 1056, 11737, 5498, 4095, 2037, 3673, 2636, 2295, 1010, 2007, 2023, 2309, 12725, 2008, 3053, 3938, 1003, 1997, 2035, 2037, 3673, 4978, 2031, 2081, 1996, 2327, 2184, 1012, 2069, 11284, 2064, 2488, 2023, 4894, 3446, 2007, 2105, 5986, 1003, 1997, 2014, 4978, 2437, 1996, 3694, 1031, 2009, 2003, 5399, 2625, 2084, 2008, 2085, 1010, 1996, 11555, 2006, 1996, 2060, 2192, 2052, 17727, 21818, 2037, 6463, 2145, 2582, 2011, 1996, 2203, 1997, 1996, 2095, 1033, 1012, 2053, 1012, 1022, 1006, 1011, 1011, 1007, 4519, 1011, 2025, 2058, 2664, 2005, 1996, 2353, 2733, 2770, 2045, 2024, 2093, 2047, 10445, 2503, 1996, 2327, 2184, 1012, 2034, 1997, 2035, 2003, 2178, 3153, 2718, 2013, 1996, 3819, 2080, 6540, 1010, 13544, 3293, 1998, 6016, 2252, 3995, 2545, 3748, 1996, 2406, 2058, 1012, 2074, 2000, 10580, 1996, 2126, 3895, 2066, 2023, 2272, 2013, 7880, 2009, 2003, 4276, 15103, 2008, 1999, 1996, 2197, 2733, 2023, 2309, 5068, 6684, 2151, 15341, 2012, 2035, 2006, 7731, 2557, 1012, 1031, 4933, 2557, 1010, 2027, 2020, 2035, 2058, 2009, 2574, 2438, 1012, 3819, 2080, 1005, 1055, 17743, 1033, 1012, 2053, 1012, 1021, 1006, 1011, 1011, 1007, 21887, 1011, 3336, 3336, 3492, 2172, 1996, 2168, 2064, 2022, 2056, 2005, 2023, 2718, 1010, 2348, 2023, 2012, 2560, 2003, 2311, 2006, 2019, 2525, 8052, 21877, 4305, 28637, 2206, 2039, 21887, 1005, 1055, 2197, 2718, 6348, 1997, 1996, 2305, 2029, 2081, 2053, 1012, 1016, 1999, 2244, 2197, 2095, 1998, 2001, 2145, 4855, 2105, 4234, 2051, 1012, 2009, 2001, 2036, 2028, 1997, 2216, 2647, 3153, 4978, 2029, 2419, 1037, 7163, 5274, 1997, 1996, 2149, 6093, 2012, 1996, 5725, 2203, 1997, 2197, 2095, 4077, 4978, 2066, 2613, 16075, 1005, 1055, 2178, 2305, 1012, 1996, 2047, 2309, 4076, 2062, 2030, 2625, 1996, 2168, 5675, 2004, 1996, 2197, 1011, 1998, 2004, 2107, 2071, 6684, 8246, 1010, 5738, 2048, 3182, 3020, 2084, 2037, 2834, 2309, 1012, 2053, 1012, 1017, 1006, 1019, 1007, 6173, 2829, 1011, 2048, 2064, 2377, 2008, 2208, 1996, 1047, 1011, 1047, 27102, 6136, 1997, 2023, 2309, 2725, 6173, 2829, 1996, 2373, 1997, 2204, 1012, 2011, 2437, 2053, 1012, 1017, 2023, 2003, 2941, 2010, 5221, 2866, 2718, 2412, 1010, 6012, 1996, 2053, 1012, 1018, 4672, 1997, 2006, 2256, 2219, 2067, 1999, 2251, 2960, 1012, 2053, 1012, 1016, 1006, 1015, 1007, 2041, 5886, 2063, 3428, 1011, 2123, 1005, 1056, 2644, 1006, 24405, 9354, 24405, 9354, 1007, 6573, 2125, 1996, 2327, 2044, 2069, 1037, 2733, 1010, 1996, 2041, 5886, 2063, 3428, 2031, 2204, 3114, 2000, 2514, 12943, 16523, 2666, 7178, 1012, 1996, 6217, 1997, 2123, 1005, 1056, 2644, 2003, 2107, 2008, 2058, 1996, 2607, 1997, 1996, 2197, 2733, 2009, 2853, 2074, 2058, 2531, 1010, 2199, 4809, 2029, 2104, 2151, 2060, 6214, 2052, 2031, 2081, 2009, 1037, 2469, 1011, 2543, 2053, 1012, 1015, 1012, 2174, 1012, 1012, 1012, 1012, 2053, 1012, 1015, 1006, 1011, 1011, 1007, 2034, 2733, 1012, 2202, 2008, 1011, 2067, 2005, 2204, 2009, 2003, 2428, 2524, 2000, 2113, 2073, 2000, 4088, 1012, 2028, 1997, 1996, 11637, 1997, 2337, 1005, 1055, 28101, 2982, 5103, 2001, 1996, 6765, 2836, 1997, 1996, 2047, 2309, 2013, 2202, 2008, 1012, 2054, 2027, 11521, 2001, 2028, 1997, 1996, 2087, 3052, 17904, 2135, 8235, 3769, 3895, 2008, 2018, 2042, 2657, 1999, 1037, 2146, 2146, 2051, 1012, 8990, 3071, 2040, 2657, 2009, 2018, 1996, 2309, 2091, 2004, 1037, 4022, 2053, 1012, 1015, 1010, 7539, 1997, 1996, 4996, 2627, 2433, 1999, 2023, 2181, 1012, 2009, 2001, 3755, 2000, 2557, 3703, 2012, 1996, 2927, 1997, 2233, 1998, 2038, 2042, 1999, 3082, 9963, 2006, 2116, 2377, 27103, 2412, 2144, 1012, 2000, 2360, 2008, 11162, 2005, 2023, 2309, 2038, 2042, 2152, 2003, 2000, 2360, 1996, 2560, 2019, 2104, 9153, 18532, 4765, 1012, 1996, 2713, 1997, 2067, 2005, 2204, 2006, 6928, 9469, 1996, 5221, 5157, 2005, 2151, 2047, 2713, 2005, 2058, 2702, 2086, 1012, 2011, 1996, 2203, 1997, 1996, 2733, 1996, 2309, 2018, 2853, 2092, 2058, 4278, 1010, 2199, 4809, 1011, 6012, 21632, 3790, 1005, 1055, 5095, 2305, 2000, 4236, 1996, 5221, 4882, 5096, 1997, 2151, 2309, 2144, 1005, 2079, 2027, 2113, 2049, 4234, 1005, 2853, 5385, 1010, 2199, 2028, 2733, 1999, 2285, 3118, 1012, 1031, 1037, 2773, 2182, 2006, 3616, 1012, 1996, 2047, 4971, 7652, 2829, 3690, 1997, 3673, 6268, 3214, 2008, 2009, 2001, 6082, 2084, 2412, 2000, 8011, 5372, 6747, 2041, 1997, 1996, 6093, 1010, 2174, 2012, 2023, 2391, 1999, 1996, 4134, 2009, 2001, 2145, 4072, 2000, 4800, 22086, 2039, 1996, 4481, 2027, 2550, 2445, 2037, 5002, 2145, 2134, 1005, 1056, 3243, 5050, 2296, 20196, 1999, 1996, 2406, 1012, 2058, 2051, 2216, 4800, 24759, 10136, 2031, 2042, 10426, 1998, 1996, 4481, 8001, 1012, 2197, 4481, 1045, 2018, 4081, 1996, 2202, 2008, 2309, 2853, 4090, 2575, 1010, 2199, 1999, 2049, 2034, 2733, 1011, 2145, 12580, 13352, 2140, 2021, 2025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1045, 9471, 2000, 5254, 2242, 2200, 2590, 1999, 1996, 2197, 2695, 1012, 1045, 2288, 2000, 2022, 2006, 1996, 2557, 2000, 2831, 2055, 2026, 5660, 8654, 999, 1045, 2018, 2000, 2131, 2039, 3492, 2220, 2000, 2022, 10263, 2144, 2045, 2001, 1037, 1017, 3178, 2051, 4489, 1010, 2021, 2009, 2001, 1037, 10228, 1997, 4569, 3331, 2055, 2256, 9580, 1010, 1996, 4037, 1010, 1998, 1996, 5660, 8654, 2000, 2111, 2057, 2354, 1999, 2256, 3025, 2166, 1012, 4606, 6266, 1998, 15604, 2081, 2009, 2200, 3733, 2005, 2033, 1010, 4851, 2035, 1996, 2157, 3980, 1998, 8660, 1999, 7188, 1045, 26015, 1010, 2029, 2001, 3565, 4086, 1012, 1996, 4357, 2003, 2800, 2006, 16110, 2065, 2017, 2024, 4699, 1006, 2156, 4957, 2182, 1007, 1998, 1997, 2607, 2026, 5660, 8654, 2003, 2800, 2005, 5309, 1999, 26885, 2030, 3259, 4289, 2006, 9733, 1012, 2005, 2216, 2040, 2031, 4156, 1037, 6100, 1045, 2359, 2000, 2360, 1523, 4067, 2017, 999, 1524, 1012, 2057, 4025, 2000, 2031, 3876, 2046, 1037, 5418, 2073, 2057, 5271, 1037, 2338, 2296, 2261, 2420, 1998, 2008, 2003, 3492, 24665, 10450, 14116, 1012, 2008, 3065, 2033, 2009, 3475, 1521, 1056, 2074, 2814, 1998, 2155, 2040, 2024, 2437, 1996, 17402, 1012, 2012, 2023, 6393, 1010, 1996, 11310, 25335, 2005, 1996, 2095, 2453, 2022, 2105, 1002, 1015, 1010, 2199, 2029, 1010, 2006, 2256, 5166, 1010, 2052, 5121, 2022, 6160, 1012, 4606, 1010, 2144, 2057, 2064, 2131, 5653, 2085, 1010, 1045, 2363, 2026, 3259, 6100, 1997, 1996, 2338, 1998, 1045, 2031, 2000, 2360, 3173, 2009, 1999, 2026, 2398, 2001, 2428, 1037, 2569, 3110, 1012, 1045, 2018, 2042, 4986, 2055, 1996, 4289, 3436, 2144, 2057, 2134, 1521, 1056, 3477, 2000, 2031, 2008, 12145, 2589, 1010, 2021, 2009, 2357, 2041, 3492, 3835, 1012, 1996, 4620, 2298, 2204, 1010, 1996, 6140, 2003, 3835, 1998, 2502, 1010, 1998, 1996, 3259, 4518, 2038, 2070, 9415, 2000, 2009, 1012, 2009, 2428, 2001, 4658, 3564, 1998, 3173, 2009, 1999, 2026, 2192, 1010, 1998, 2065, 2498, 2842, 2008, 3110, 2081, 2035, 1996, 2524, 2147, 2000, 2131, 2045, 4276, 2009, 2000, 2033, 1012, 7929, 1010, 2067, 2000, 1996, 9927, 1010, 1998, 2292, 2033, 2707, 2007, 1996, 5860, 19771, 5017, 2017, 2097, 2022, 3773, 1037, 2843, 1997, 2023, 2621, 1024, 1996, 2194, 2057, 2024, 2551, 2005, 2023, 2621, 2038, 1037, 2200, 3563, 2865, 3343, 2029, 1045, 2572, 4748, 22658, 2000, 1012, 2023, 2950, 2025, 18625, 2060, 5126, 2011, 2171, 1010, 2061, 1045, 2097, 2079, 1996, 2190, 1045, 2064, 2000, 28667, 21723, 2256, 3325, 2478, 2111, 1521, 1055, 4395, 2030, 4486, 1012, 2036, 1010, 2138, 2009, 1521, 1055, 2025, 2428, 2008, 3697, 2000, 3275, 2041, 2040, 2057, 2024, 2551, 2005, 1010, 1045, 2215, 2000, 2022, 3154, 2008, 1045, 1999, 2053, 2126, 3713, 2005, 1996, 2194, 1010, 1998, 2572, 2069, 28667, 21723, 2075, 2256, 4310, 3167, 6322, 1012, 2036, 1010, 2151, 4751, 1045, 2131, 3308, 1006, 1998, 1045, 2572, 2469, 2045, 2097, 2022, 2116, 1007, 2024, 2349, 2000, 24216, 2015, 2006, 2026, 2112, 1012, 2043, 20059, 2151, 3105, 2030, 2173, 2000, 2994, 1013, 3942, 1045, 3811, 16755, 2183, 2000, 1996, 3120, 1998, 3225, 2007, 1996, 2194, 4037, 2005, 2592, 1012, 2044, 2048, 2420, 1997, 2177, 2731, 1010, 3389, 1998, 1045, 2985, 5958, 1998, 6928, 2006, 1996, 3105, 2731, 2007, 2048, 5281, 12348, 5126, 2182, 1012, 2130, 2295, 1045, 2572, 2025, 2747, 5115, 2000, 2147, 1999, 1996, 29144, 2436, 1010, 1045, 2001, 4738, 2006, 2037, 3274, 2291, 11079, 2767, 1012, 1045, 2001, 3492, 7568, 2055, 2008, 2138, 2348, 1045, 2031, 2086, 1997, 3274, 3325, 1010, 1045, 2031, 2196, 2499, 2006, 1037, 29144, 11079, 2291, 1010, 1998, 2359, 2000, 2404, 2009, 2006, 2026, 2147, 27829, 4842, 2739, 13746, 1012, 2004, 1045, 2031, 3855, 2077, 1010, 2057, 2024, 1037, 2502, 5470, 1997, 2147, 27829, 4842, 2739, 1998, 1045, 3477, 2005, 1037, 2751, 5779, 2000, 2131, 2037, 3679, 14409, 1998, 2562, 1037, 13746, 2006, 5371, 2007, 2068, 1012, 1996, 13746, 4240, 1996, 7037, 3800, 1997, 3228, 2033, 2019, 2039, 2000, 3058, 1998, 4089, 7801, 6062, 13746, 1006, 2029, 2087, 12433, 2097, 5138, 2348, 5681, 2057, 2448, 2046, 2019, 11194, 2008, 3791, 3265, 13746, 2015, 1007, 1998, 4022, 12433, 3945, 2008, 7809, 2559, 2005, 3667, 1998, 2057, 2031, 2042, 11925, 2195, 2335, 2011, 4022, 12433, 2138, 2008, 2592, 2003, 2041, 2045, 1012, 2062, 1998, 2062, 1997, 2122, 5841, 5478, 3325, 2006, 29144, 3040, 2030, 2070, 2060, 13215, 11079, 4037, 1010, 1998, 2044, 4909, 2023, 2731, 1045, 2031, 1037, 2488, 4824, 2004, 2000, 2339, 1012, 2821, 1010, 1998, 2004, 1037, 3143, 2217, 3602, 1010, 2077, 1045, 5293, 1010, 2119, 1997, 1996, 6062, 2057, 2024, 2551, 2007, 2023, 2621, 2224, 2551, 6062, 1012, 4012, 1012, 1045, 2018, 2196, 2657, 1997, 2009, 2077, 1010, 2021, 2144, 2119, 2147, 2087, 1997, 1996, 2051, 2006, 1996, 2346, 2066, 2149, 1998, 2027, 2119, 9174, 3855, 2009, 1010, 1045, 2572, 2183, 2000, 4638, 2009, 2041, 1012, 2012, 2034, 6054, 2009, 3504, 2066, 2045, 2003, 1037, 7408, 1010, 2021, 2009, 2036, 3849, 2000, 3073, 1037, 2062, 7721, 2862, 1997, 6695, 2084, 1523, 3151, 1524, 2147, 27829, 4691, 5841, 2029, 2003, 1997, 3037, 2000, 2149, 1012, 2123, 1521, 1056, 2113, 2505, 2062, 2084, 2008, 2061, 2065, 3087, 2038, 2109, 2009, 1010, 3531, 2681, 1037, 7615, 1998, 2292, 2149, 2113, 2129, 2009, 2499, 1012, 4312, 1010, 2067, 2000, 1996, 2731, 1012, 1996, 10365, 1998, 4475, 2020, 2119, 2200, 2204, 1010, 2021, 1996, 2291, 2993, 2001, 2062, 10368, 2084, 1045, 3517, 1012, 1045, 2031, 2086, 1997, 3325, 2551, 2006, 14721, 8013, 3276, 2968, 4007, 1998, 2328, 2048, 2655, 6401, 2013, 11969, 1999, 2026, 2476, 1012, 2061, 1045, 2245, 2009, 2052, 2022, 3565, 3733, 2005, 2033, 1012, 2009, 2318, 2125, 3492, 2092, 2004, 1037, 3115, 11079, 2003, 3492, 3733, 1998, 2027, 3073, 7167, 1997, 3971, 2000, 3443, 2008, 11079, 5834, 2588, 2115, 12157, 1010, 2029, 2003, 2307, 1012, 2005, 2742, 1010, 2017, 2064, 2298, 2012, 1996, 4493, 6134, 2013, 1037, 8370, 3193, 1006, 2228, 24970, 20861, 21030, 2102, 1007, 2030, 2013, 1037, 4949, 3193, 1012, 3492, 4658, 1012, 2073, 2009, 2288, 8552, 2295, 2001, 2043, 3674, 17829, 2020, 5799, 1998, 7909, 2005, 2068, 2001, 2083, 2028, 4923, 4003, 1012, 2023, 2003, 1037, 3492, 2691, 11967, 2005, 5353, 2545, 1010, 1998, 1045, 2074, 2179, 1996, 2186, 1997, 4084, 7823, 1012, 2008, 2052, 2035, 2022, 7929, 2065, 2017, 2020, 2583, 2000, 2202, 1996, 11079, 2006, 3259, 1998, 2059, 5587, 2009, 2046, 1996, 3274, 2044, 18351, 1010, 2021, 2138, 1996, 11079, 2291, 2003, 2800, 3784, 2000, 6304, 2017, 2064, 1521, 1056, 2079, 2008, 1012, 2017, 2342, 2000, 2022, 2444, 2006, 1996, 3042, 2007, 1996, 4113, 2096, 2017, 2202, 1996, 2592, 1998, 3582, 1996, 2186, 1997, 4084, 1012, 1045, 2572, 2469, 2044, 2070, 3218, 2008, 2097, 2022, 2117, 3267, 1006, 2009, 5121, 2001, 2005, 2256, 10365, 1007, 1010, 2021, 2009, 2001, 1037, 2210, 24439, 1012, 16047, 1996, 10365, 2985, 2035, 2154, 6928, 2551, 2007, 2149, 2006, 1996, 2291, 1998, 2057, 2288, 7167, 1997, 2398, 2006, 3218, 1012, 2025, 2035, 1997, 2037, 3409, 3677, 4460, 5478, 3274, 2147, 1012, 1996, 2120, 3224, 4573, 2024, 2035, 2006, 1996, 3914, 2637, 2291, 1010, 2029, 2003, 1037, 2353, 2283, 2194, 1010, 2021, 2048, 1997, 1996, 29144, 2015, 2024, 2531, 1003, 3079, 1998, 3498, 2011, 1996, 9710, 2194, 1998, 2024, 2006, 2023, 2291, 1012, 2750, 1996, 4119, 2005, 1996, 5126, 1045, 2079, 2228, 2009, 2003, 1996, 2157, 2126, 2000, 2175, 1012, 2383, 6304, 1523, 2969, 1011, 3710, 1524, 3784, 2038, 6022, 10548, 1996, 2147, 11066, 1999, 1996, 2436, 1998, 1045, 2572, 2469, 5301, 8013, 9967, 1012, 2021, 2009, 2036, 1006, 1999, 2026, 5448, 1007, 4332, 1996, 2436, 2597, 2046, 2028, 2073, 2070, 2504, 1997, 3274, 3325, 2003, 3223, 1012, 1996, 2504, 1997, 3274, 11532, 1999, 1996, 13215, 14877, 2003, 5278, 2004, 2062, 2111, 2224, 6047, 11640, 1998, 1996, 2147, 2486, 2003, 2893, 3920, 1010, 2021, 2004, 1045, 2056, 1010, 2023, 2565, 2001, 2025, 3722, 1012, 2043, 2057, 2288, 2000, 1037, 2391, 2073, 2057, 2359, 2000, 3046, 2551, 2007, 2444, 6304, 1010, 2028, 1997, 2026, 3507, 26758, 2015, 2081, 1996, 2655, 1998, 1996, 8013, 2359, 2000, 2689, 1019, 2367, 17829, 2058, 1996, 3042, 1012, 1996, 10365, 1998, 2026, 2522, 1011, 7309, 2106, 2019, 12476, 3105, 2551, 2083, 2009, 1010, 2021, 2009, 3662, 1996, 2504, 1997, 11619, 2070, 1997, 2122, 3042, 4455, 2071, 2031, 1012, 2505, 3733, 2003, 2763, 2108, 2589, 3784, 2061, 1996, 4455, 2008, 2272, 2046, 1996, 2436, 1006, 2348, 8491, 2084, 2077, 3784, 17829, 1007, 2024, 3262, 2062, 8552, 1012, 4998, 2013, 1996, 3274, 2147, 1010, 2029, 1045, 2572, 5580, 1045, 2001, 2892, 4738, 1999, 2021, 2097, 2069, 2022, 2478, 2043, 1045, 2342, 2000, 3104, 2619, 1521, 1055, 2420, 2125, 1010, 2017, 2024, 2763, 4699, 1999, 4994, 2055, 2054, 2057, 2097, 2022, 2725, 2035, 2154, 1012, 2144, 1045, 2001, 1999, 1996, 2436, 1010, 3389, 2288, 2019, 19184, 2013, 1996, 3129, 1997, 2256, 10365, 2006, 5958, 1998, 2059, 2057, 2985, 5095, 1998, 4465, 2893, 16222, 17960, 4383, 1998, 2725, 1037, 2034, 1998, 2117, 3413, 2006, 2256, 3679, 2799, 1012, 1045, 2245, 1996, 2190, 2126, 2000, 6235, 2009, 2001, 2000, 2265, 2169, 2609, 2007, 4620, 1998, 1045, 2031, 2000, 2360, 1045, 2031, 1996, 2087, 6429, 1523, 2436, 3193, 1524, 2000, 3058, 1012, 1996, 2147, 2006, 2087, 1996, 4573, 2003, 3492, 3937, 1010, 4518, 1998, 4550, 21674, 1010, 4060, 2039, 1998, 4064, 11669, 1010, 17901, 1010, 4385, 1010, 2021, 2045, 2024, 1037, 2261, 26279, 2008, 1045, 2097, 4863, 2004, 2057, 2175, 2247, 1012, 1045, 2572, 10886, 2122, 5269, 1999, 1996, 2344, 2027, 2024, 2247, 1996, 2314, 2021, 2057, 2097, 2022, 2478, 5873, 2068, 1999, 2367, 4449, 5834, 2006, 1996, 2154, 1013, 2342, 1012, 2093, 4573, 2024, 2039, 24352, 2013, 2149, 1998, 1996, 2060, 2093, 2024, 2091, 2314, 1998, 2057, 2024, 2284, 2157, 1999, 1996, 2690, 2029, 2003, 3835, 1012, 2144, 1037, 3861, 2428, 2003, 4276, 6694, 2616, 1999, 2023, 2553, 1010, 2292, 2033, 5376, 1999, 1012, 11694, 3636, 4049, 4888, 1516, 2023, 2003, 1037, 2047, 2609, 2005, 1996, 2194, 1998, 2003, 1037, 4049, 4888, 1998, 5645, 2181, 1012, 2045, 2024, 2053, 21674, 2182, 2004, 1997, 2664, 1010, 2061, 2057, 2074, 4638, 1996, 2181, 1998, 4060, 2039, 11669, 1012, 4920, 1999, 1996, 2813, 4049, 3229, 2609, 1516, 2023, 2003, 1037, 2200, 2759, 2609, 2007, 21298, 2075, 3316, 1998, 2003, 1037, 2154, 2224, 2181, 1012, 2009, 2038, 1037, 6770, 11848, 1010, 4049, 4888, 2181, 1998, 1018, 12695, 7251, 1012, 2023, 2609, 2097, 5478, 3243, 1037, 2978, 1997, 17901, 1059, 3270, 23177, 2029, 2003, 1037, 2152, 9470, 2144, 1037, 2317, 2300, 2724, 2097, 2022, 2218, 1999, 2023, 2181, 2006, 2089, 3983, 1998, 7398, 1012, 2062, 2000, 2272, 2006, 2008, 2101, 1012, 5405, 3636, 4049, 3229, 2609, 1516, 2023, 2003, 2256, 20530, 21298, 2075, 2609, 2004, 2009, 2025, 2069, 2038, 1037, 6770, 11848, 2021, 2048, 5278, 4734, 1012, 1996, 21298, 2075, 3316, 3113, 2037, 6304, 2182, 1010, 1998, 2027, 2224, 1996, 5278, 2752, 2000, 2404, 2006, 4954, 19796, 1012, 2057, 1521, 2310, 2777, 2070, 1997, 1996, 21298, 2075, 2194, 5126, 1998, 2027, 2024, 2200, 3835, 1010, 2029, 2003, 2307, 2144, 2057, 2097, 2022, 2551, 2007, 2068, 2035, 2621, 1012, 2057, 2024, 3228, 2068, 2449, 5329, 2007, 1996, 29144, 2436, 3042, 2193, 1998, 6628, 2068, 2000, 2655, 2149, 2065, 2027, 2156, 2151, 3471, 1012, 2027, 6727, 2149, 1996, 2691, 2335, 2027, 2224, 1996, 2609, 2024, 1023, 1024, 4002, 3286, 1011, 1023, 1024, 2382, 3286, 1998, 2260, 1024, 27995, 1011, 2260, 1024, 2382, 9737, 1010, 2029, 2001, 2200, 14044, 1010, 2138, 2057, 2097, 2113, 2043, 2000, 6134, 2256, 9344, 2015, 1012, 2023, 2003, 2019, 3080, 2609, 1998, 2987, 1521, 1056, 2031, 1996, 2715, 4049, 4888, 5108, 2664, 1010, 2021, 2612, 2038, 1037, 4658, 2600, 4130, 1012, 2216, 2093, 4573, 2024, 2039, 24352, 2013, 2149, 1010, 2021, 2091, 24352, 2013, 1996, 29144, 2024, 2093, 2060, 4573, 1012, 2144, 2122, 2024, 3553, 2000, 2237, 1010, 2025, 1999, 1996, 2120, 3224, 1010, 1998, 2024, 2109, 3701, 2011, 16532, 2027, 2031, 1037, 6135, 2367, 21209, 1012, 2027, 2036, 2031, 6733, 2029, 4012, 24759, 24695, 2015, 2477, 1037, 2978, 1010, 2061, 2292, 2033, 5247, 2070, 2051, 2006, 1037, 3232, 1997, 2122, 1012, 1996, 12731, 26229, 2102, 1516, 2023, 2003, 1037, 3376, 2210, 5645, 3962, 2008, 6854, 2357, 2046, 1996, 5353, 5948, 3962, 2012, 2070, 2391, 1012, 2027, 2031, 2428, 4208, 2006, 2893, 2008, 2104, 2491, 2295, 1998, 2045, 2003, 1037, 4796, 2008, 14572, 2012, 2305, 2012, 1996, 3295, 1012, 12455, 2064, 2145, 2380, 2012, 1996, 2327, 1998, 3328, 2091, 1010, 2021, 2049, 3154, 2040, 2003, 5689, 2041, 2091, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2327, 2184, 2678, 2399, 1997, 2418, 2057, 1521, 2128, 3254, 2746, 2000, 1996, 2203, 1997, 2418, 1012, 2009, 2038, 2042, 1037, 2307, 2095, 1997, 10355, 2066, 5156, 1012, 2061, 2116, 2307, 2399, 2746, 2041, 1010, 1998, 1037, 6308, 2000, 2191, 12661, 2015, 2164, 2655, 1997, 4611, 1521, 1055, 2715, 8309, 19484, 1012, 2007, 2008, 2056, 1010, 2009, 1521, 1055, 2051, 2000, 2404, 2362, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 1012, 1996, 6747, 2272, 2013, 14476, 1010, 1037, 2609, 2008, 10468, 9572, 2015, 4391, 1997, 2865, 3688, 2107, 2004, 2678, 2399, 1012, 2037, 8599, 19857, 6593, 20598, 1010, 2174, 1010, 14476, 2003, 3492, 6540, 2007, 2037, 10385, 1012, 2327, 2184, 1521, 1055, 2024, 2467, 20714, 1998, 2074, 2138, 1996, 26319, 2272, 2013, 14476, 2987, 1521, 1056, 2812, 2023, 2003, 2028, 2995, 2862, 1997, 2190, 2678, 2399, 1997, 2418, 1012, 2021, 1045, 2064, 2360, 2009, 1521, 1055, 1037, 2204, 17245, 1997, 2054, 2399, 2020, 1996, 2327, 1997, 2009, 1521, 1055, 2465, 1012, 2061, 2292, 1521, 1055, 2074, 2000, 1996, 2862, 1998, 4638, 2041, 1996, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 999, 1001, 2184, 1012, 10459, 9052, 1006, 7473, 1007, 2000, 5926, 2125, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 2862, 1010, 2057, 2288, 10459, 9052, 2005, 1996, 7473, 2012, 1001, 2184, 1012, 2009, 2038, 1037, 14476, 3556, 1997, 6109, 1998, 1037, 5310, 5790, 1997, 1021, 1012, 1016, 1012, 1996, 2208, 2234, 2041, 1999, 2251, 1998, 2003, 1037, 7484, 4507, 6172, 2208, 1012, 2017, 2064, 2174, 2074, 2377, 2009, 2004, 2003, 2006, 2115, 3274, 2302, 2151, 27830, 2175, 24989, 1012, 2021, 1010, 1996, 2208, 2001, 2081, 2000, 16462, 1996, 27830, 3466, 1012, 1996, 2208, 2001, 2405, 2011, 1051, 28703, 4835, 1998, 2023, 2003, 2074, 1996, 2927, 1012, 2045, 1521, 1055, 2061, 2172, 4022, 2007, 1996, 1051, 28703, 2008, 2044, 3773, 2129, 10459, 9052, 2209, 1010, 2009, 2097, 2022, 10990, 2000, 2156, 2925, 2399, 1012, 1001, 1023, 1012, 20289, 5643, 5946, 1006, 7473, 1007, 1001, 1023, 2006, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 2862, 2003, 3016, 5643, 5946, 2006, 1996, 7473, 1012, 3016, 5643, 5946, 2003, 2019, 2895, 1011, 6172, 20578, 1998, 18296, 2678, 2208, 2580, 2761, 2011, 8899, 26393, 1998, 2405, 2011, 16562, 1012, 1996, 2208, 2761, 2234, 2041, 2005, 1996, 12202, 9475, 1010, 9160, 1017, 1012, 1996, 7473, 2544, 1997, 1996, 2208, 2001, 2207, 2006, 2258, 6252, 1997, 2023, 2095, 1998, 2764, 2011, 11265, 2595, 4024, 1012, 1996, 2208, 2018, 3365, 8377, 8425, 7968, 2164, 18853, 2039, 2000, 1018, 2243, 1998, 2490, 2005, 3438, 11048, 2566, 2117, 25416, 21898, 3446, 1012, 2023, 2208, 2038, 1037, 5310, 5790, 1997, 1022, 1012, 1017, 2006, 14476, 1010, 5128, 2009, 1999, 1996, 2665, 1012, 2116, 2327, 7563, 10355, 4573, 2435, 2023, 2208, 1037, 3819, 3556, 2107, 2004, 10355, 2287, 1998, 4391, 16186, 1012, 1001, 1022, 1012, 24596, 5000, 1024, 8813, 19817, 21818, 1006, 6942, 1007, 24596, 5000, 8813, 19817, 21818, 2006, 1996, 6942, 2234, 2041, 2023, 2095, 2006, 2233, 3822, 1012, 2007, 2009, 1521, 1055, 13164, 2158, 1013, 14134, 1013, 1022, 1011, 2978, 2191, 1011, 2039, 1010, 1996, 2208, 2150, 1037, 2718, 2007, 2009, 1521, 1055, 12476, 11247, 1998, 13432, 3494, 1012, 1996, 2434, 2208, 2001, 1037, 4121, 3112, 2008, 9191, 4400, 2580, 1037, 3376, 15682, 8877, 6050, 2005, 1996, 2208, 1006, 4957, 1007, 1012, 2023, 2208, 2038, 1037, 5310, 5790, 1997, 1022, 1012, 1014, 2006, 14476, 1010, 5128, 2009, 1999, 1996, 2665, 1012, 2174, 1010, 1996, 18804, 9363, 2890, 2003, 3020, 2012, 6205, 1012, 2116, 2327, 7563, 10355, 4573, 2435, 2023, 2208, 1037, 3819, 3556, 2107, 2004, 10355, 2287, 1010, 29536, 6559, 2015, 1998, 18178, 5051, 10010, 10735, 1012, 2216, 2040, 3866, 1996, 1022, 1011, 2978, 4245, 2097, 2991, 1999, 2293, 2007, 2023, 7107, 4438, 1012, 1001, 1021, 1012, 7986, 10556, 5339, 1022, 15203, 1006, 6942, 1007, 2129, 2064, 1037, 2327, 2184, 2678, 2208, 2862, 1997, 2418, 2022, 3143, 2302, 2383, 7986, 10556, 5339, 1999, 2009, 1029, 2008, 1521, 1055, 2157, 1010, 7986, 10556, 5339, 1022, 15203, 2003, 2012, 1001, 1022, 2007, 1037, 5310, 5790, 1997, 1022, 1012, 1019, 5128, 2009, 1999, 1996, 2665, 1010, 1998, 1037, 18804, 9363, 2890, 1997, 6227, 1012, 10022, 2001, 5307, 1037, 9129, 1997, 3314, 2197, 2095, 1998, 2116, 2245, 2008, 10022, 2001, 2006, 2009, 1521, 1055, 2126, 1999, 1037, 14047, 12313, 1010, 2763, 2183, 1999, 1996, 3257, 16562, 2106, 2043, 2009, 3030, 2437, 10122, 2399, 1012, 2059, 20421, 2175, 2234, 2041, 1998, 10022, 4518, 6719, 2253, 2039, 2048, 10671, 1012, 2085, 2007, 1996, 6942, 2746, 2041, 15768, 2253, 2039, 2130, 2062, 1998, 1045, 1521, 1049, 2469, 7986, 10556, 5339, 1022, 15203, 2038, 1037, 2210, 2978, 2000, 2079, 2007, 2009, 1024, 1007, 1012, 2025, 2383, 1037, 10022, 10122, 5155, 1037, 7986, 10556, 5339, 2003, 2066, 2552, 24607, 2007, 2053, 2655, 1997, 4611, 1012, 2027, 2342, 2216, 22506, 2000, 2994, 2844, 1012, 1001, 1020, 1012, 2104, 22059, 1006, 8827, 2549, 1007, 2104, 22059, 3138, 1996, 1001, 1020, 3962, 2007, 1037, 5024, 1023, 1012, 1016, 18804, 9363, 2890, 5790, 1012, 2174, 1010, 1996, 5310, 5790, 2003, 2069, 1020, 1012, 1018, 2029, 2003, 1996, 7290, 1999, 1996, 2327, 2382, 1012, 1996, 2208, 2234, 2041, 2006, 2257, 6286, 2061, 2009, 8440, 1521, 1056, 2042, 2041, 2004, 2146, 2004, 1996, 2500, 2006, 1996, 2862, 1012, 2013, 16948, 1024, 2104, 22059, 2003, 1037, 2535, 1011, 2652, 2678, 2208, 2580, 2011, 2137, 10271, 9722, 1998, 4543, 11291, 4419, 1012, 1999, 1996, 2208, 1010, 2867, 2491, 1037, 2529, 2775, 2040, 2038, 5357, 2046, 1996, 5230, 1010, 1037, 2312, 1010, 27044, 2555, 7650, 1996, 3302, 1997, 1996, 3011, 1010, 5459, 2011, 1037, 3894, 8803, 1012, 1996, 2447, 6010, 2536, 9219, 2076, 1037, 8795, 2000, 2709, 2000, 1996, 3302, 1010, 3701, 2083, 1996, 4337, 2291, 1025, 1996, 2447, 22149, 2015, 2083, 7163, 1011, 7960, 3109, 4491, 2011, 1996, 7116, 1010, 1998, 2064, 23569, 2000, 14397, 8757, 2030, 4942, 20041, 9219, 1999, 2344, 2000, 8622, 2068, 2612, 1997, 21054, 2068, 1012, 2122, 9804, 7461, 1996, 2208, 1010, 2007, 1996, 7982, 1010, 3494, 1010, 1998, 2466, 5278, 2241, 2006, 13105, 1012, 1001, 1019, 1012, 2054, 3464, 1997, 13257, 16133, 1006, 1060, 5643, 1007, 2023, 2003, 2028, 2208, 1045, 4033, 1521, 1056, 2209, 2664, 1998, 1045, 2097, 2022, 8816, 2075, 2009, 2574, 1012, 2061, 1045, 1521, 1049, 3407, 2000, 2156, 2009, 1521, 1055, 4396, 2152, 2006, 1996, 2862, 1012, 1996, 2208, 2038, 1037, 18804, 9363, 2890, 1997, 6227, 2007, 1037, 5310, 5790, 1997, 1021, 1012, 1015, 1012, 1998, 2003, 2193, 1019, 2006, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 2862, 1012, 1996, 2136, 2369, 5016, 19479, 2404, 2041, 2178, 2208, 2011, 1996, 2171, 1997, 1996, 14342, 10677, 1012, 2348, 2009, 8440, 1521, 1056, 2584, 1996, 2168, 3798, 1997, 2054, 3464, 1997, 13257, 16133, 1010, 1045, 1521, 1049, 5580, 2000, 2156, 10271, 2208, 3316, 2066, 2068, 2191, 1037, 2693, 2000, 1996, 2327, 1998, 2131, 5038, 1012, 2524, 2147, 12778, 2125, 1998, 1045, 3246, 2027, 1521, 2222, 2404, 2041, 2062, 2399, 1999, 1996, 2379, 2925, 1012, 2579, 2013, 15536, 3211, 1024, 2054, 3464, 1997, 13257, 16133, 4076, 1996, 12960, 2839, 1010, 1037, 2402, 2450, 7065, 17417, 3436, 2014, 2214, 2155, 2188, 2004, 2016, 17722, 2030, 9418, 1996, 3441, 1997, 10181, 2155, 2372, 1012, 1996, 2208, 2001, 2777, 2007, 2200, 3893, 7684, 2013, 4401, 1010, 2040, 5868, 2049, 2466, 1998, 8312, 1012, 2009, 2363, 2195, 9930, 2012, 1996, 2208, 2982, 2418, 1010, 3045, 2190, 7984, 1012, 1001, 1018, 1012, 16115, 1019, 1006, 8827, 2549, 1007, 2023, 2003, 1996, 5351, 18932, 2013, 1996, 6329, 1012, 16115, 3310, 1037, 2146, 2126, 1998, 2012, 7393, 7906, 2009, 2613, 2007, 1001, 1019, 1012, 2009, 1521, 1055, 1001, 1018, 2006, 1996, 2862, 2007, 1037, 18804, 9363, 2890, 1997, 6109, 1998, 1037, 5310, 5790, 1997, 1023, 1012, 1015, 1012, 1996, 2208, 2001, 2207, 1999, 2258, 1012, 2005, 2216, 1997, 2017, 2040, 2123, 1521, 1056, 2113, 1010, 16115, 2003, 2036, 2124, 2004, 12277, 13164, 4328, 9049, 2072, 1012, 16115, 1019, 2003, 1037, 2535, 1011, 2652, 2208, 2008, 3138, 2173, 1999, 5522, 1998, 1996, 18458, 2369, 1996, 2208, 2003, 5875, 1010, 2004, 1996, 2364, 2839, 2003, 23123, 5496, 1997, 6101, 1012, 2061, 2017, 2064, 2156, 2073, 1996, 16115, 4204, 3310, 1999, 2076, 1996, 2824, 1012, 1045, 2180, 1521, 1056, 2175, 2046, 6987, 2004, 2070, 1997, 2017, 5223, 2130, 1037, 2210, 9374, 1997, 27594, 2545, 1010, 2021, 2023, 2003, 1037, 2516, 2008, 2017, 2323, 5791, 2718, 2039, 1012, 1001, 1017, 1012, 16968, 1024, 2434, 8254, 2462, 1006, 7473, 1007, 16968, 2434, 8254, 2462, 2003, 2193, 1017, 2006, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 2862, 1012, 2004, 2017, 2064, 2156, 2013, 1996, 3482, 1997, 1996, 2208, 1010, 2070, 1997, 1996, 2327, 2208, 15814, 2435, 2009, 1023, 1013, 2184, 2029, 2758, 1037, 2843, 1012, 2580, 2011, 2474, 6862, 2399, 1010, 1996, 18804, 9363, 2890, 2003, 2036, 2152, 2012, 6109, 2007, 1037, 5310, 3556, 1997, 1022, 1012, 1017, 1012, 1996, 2208, 2001, 2207, 1999, 2244, 1997, 2023, 2095, 2029, 2003, 2069, 1017, 2706, 3283, 1998, 2525, 2038, 15602, 2399, 2008, 2042, 1999, 1996, 7077, 2013, 1996, 2927, 1997, 1996, 2095, 1012, 2008, 1999, 2993, 2003, 8052, 1012, 16968, 2434, 8254, 2462, 2003, 1037, 2535, 1011, 2652, 2208, 1998, 1037, 8297, 2000, 16968, 2434, 8254, 1012, 1996, 2208, 2038, 2363, 2000, 2116, 2307, 4391, 2008, 2009, 1521, 1055, 2108, 2641, 2004, 2028, 1997, 1996, 2190, 2535, 2652, 2399, 2412, 2580, 2029, 2003, 3038, 1037, 2843, 1012, 1045, 2123, 1521, 1056, 2228, 2017, 2064, 2507, 2008, 2516, 2000, 2151, 2208, 1529, 2092, 2017, 2064, 2021, 2045, 3791, 2000, 2022, 2062, 2084, 2074, 4391, 1998, 2178, 12046, 2000, 5587, 2000, 2023, 10761, 2052, 2342, 2000, 2022, 4341, 1012, 2021, 1045, 1521, 2222, 2022, 2559, 2000, 4060, 2023, 2028, 2039, 2005, 2469, 1012, 1001, 1016, 1012, 1996, 5722, 1997, 27838, 15150, 1024, 3052, 1997, 1996, 3748, 1006, 16568, 2226, 1007, 1045, 1521, 1049, 2025, 4527, 2008, 1523, 1037, 1524, 5722, 1997, 27838, 15150, 2208, 2081, 1996, 2327, 2184, 1010, 2030, 1010, 2008, 1997, 1037, 10022, 2208, 1012, 2007, 1037, 18804, 9363, 2890, 1997, 5986, 1998, 1037, 5310, 5790, 1997, 1022, 1012, 1015, 1010, 2023, 3084, 3052, 1997, 1996, 3748, 1037, 2428, 5024, 2208, 1012, 2207, 2067, 1999, 2233, 1997, 2023, 2095, 1010, 1996, 2208, 2038, 2042, 4909, 3893, 4391, 2035, 2058, 2007, 2070, 3038, 2009, 1521, 1055, 2028, 1997, 1996, 2190, 27838, 15150, 2399, 2412, 2081, 1012, 1045, 2467, 2424, 2008, 1521, 1055, 1037, 7823, 3160, 2000, 3437, 1012, 2054, 2003, 1996, 2190, 27838, 15150, 2208, 2412, 2081, 1029, 2092, 2045, 1521, 1055, 1037, 4245, 2389, 13827, 2007, 2026, 3433, 1010, 2004, 2007, 2151, 3433, 2055, 2023, 2208, 1012, 1045, 2228, 1037, 4957, 2000, 1996, 2627, 2001, 1996, 4602, 27838, 15150, 2208, 2412, 2580, 1012, 2021, 2070, 2228, 1051, 10010, 3981, 1997, 2051, 2003, 1010, 1997, 13132, 4615, 1012, 2009, 9041, 2006, 1996, 2208, 2017, 2209, 1999, 2115, 5593, 1998, 2054, 5758, 2017, 2031, 1996, 2087, 1997, 1012, 2070, 2130, 2360, 2350, 2050, 1521, 1055, 7308, 2003, 1996, 4602, 8840, 2140, 1012, 10022, 4247, 2000, 2272, 2041, 2007, 5024, 2399, 1010, 2947, 1010, 6637, 2007, 7513, 1998, 8412, 1999, 1996, 10122, 5233, 1012, 2017, 2064, 1521, 1056, 3786, 10022, 1529, 1001, 1015, 1012, 3565, 7986, 18735, 1006, 6942, 1007, 3565, 7986, 18735, 1529, 9805, 2361, 1012, 1012, 1037, 3565, 7986, 2208, 4978, 1996, 2327, 3962, 2006, 2256, 2327, 2184, 2678, 2399, 1997, 2418, 1012, 2025, 11341, 2004, 2087, 7986, 2399, 2131, 2327, 3962, 1006, 2092, 1010, 2007, 1996, 6453, 2000, 1037, 2261, 8840, 2140, 1007, 1012, 3565, 7986, 18735, 2001, 27564, 11436, 2007, 1996, 2713, 1997, 1996, 6942, 1998, 2009, 2134, 1521, 1056, 9364, 1012, 5026, 1037, 2878, 2047, 2298, 2000, 3565, 7986, 1521, 1055, 11301, 1999, 1037, 2103, 2738, 2084, 1037, 5913, 2455, 1006, 2092, 1010, 7929, 1010, 2009, 1521, 1055, 4066, 1997, 1037, 5913, 2455, 2004, 2092, 8840, 2140, 1007, 1012, 5790, 2005, 1996, 2208, 2003, 2125, 1996, 6093, 1012, 2009, 2747, 2038, 1037, 4635, 1997, 5986, 2007, 1037, 5310, 5790, 1997, 1023, 1012, 1014, 1012, 2009, 1521, 1055, 2069, 3416, 2007, 5310, 5790, 2369, 16115, 1019, 2011, 1014, 1012, 1015, 2391, 1012, 1045, 4033, 1521, 1056, 4149, 1996, 6942, 2664, 2004, 1045, 1521, 1049, 3403, 2005, 2062, 2399, 2000, 2272, 2041, 1010, 2021, 2009, 1521, 1055, 2428, 1037, 2053, 4167, 2121, 2000, 2131, 2023, 2028, 3246, 2017, 5632, 1996, 2327, 2184, 2678, 2399, 1997, 2418, 2862, 1012, 2065, 2017, 1521, 2128, 4699, 2000, 2156, 2060, 2327, 2184, 7201, 11562, 2182, 999, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2045, 2024, 1037, 2261, 6991, 1999, 10355, 2008, 2053, 3043, 2129, 2172, 2027, 2024, 2109, 1006, 2030, 2058, 13901, 1007, 1010, 2145, 4025, 2000, 9958, 2026, 3086, 1012, 14931, 21886, 6979, 1010, 16633, 15927, 1010, 2103, 2311, 1998, 1997, 2607, 8350, 1012, 2040, 2987, 1521, 1056, 2293, 1037, 2204, 25430, 11823, 24204, 2989, 2604, 2208, 1029, 2651, 2057, 2024, 2183, 2000, 2022, 2559, 2012, 2757, 2273, 2425, 2053, 7122, 1010, 1037, 10791, 2604, 2208, 2405, 2011, 7163, 2239, 2399, 1012, 1999, 2757, 2273, 2425, 2053, 7122, 1010, 2867, 2202, 2006, 1996, 4395, 1997, 1037, 5931, 1998, 28388, 11304, 3626, 2667, 2000, 8840, 4140, 1037, 10186, 1010, 5255, 2911, 1012, 2515, 2757, 2273, 2425, 2053, 7122, 3073, 2438, 4024, 2000, 2562, 2049, 2132, 2682, 2300, 1999, 2023, 10789, 6907, 1029, 2051, 2000, 2424, 2041, 1012, 2757, 2273, 2425, 2053, 7122, 2003, 1037, 10791, 2604, 2208, 2005, 1016, 1011, 1019, 2867, 2008, 3248, 1999, 2055, 3438, 2781, 1012, 2757, 2273, 2425, 2053, 7122, 3248, 2190, 2007, 1017, 1011, 1018, 2867, 1012, 1999, 2757, 2273, 2425, 2053, 7122, 1010, 2867, 2097, 2022, 2551, 2362, 2000, 2855, 8840, 4140, 1037, 5255, 2911, 1012, 2169, 2447, 2097, 2491, 1037, 4310, 11304, 1010, 2169, 2007, 2037, 2219, 2569, 3754, 1998, 4207, 2177, 1997, 5167, 1012, 2076, 1996, 2208, 1010, 2867, 2097, 2224, 2019, 2895, 2391, 2291, 2000, 2693, 2105, 1996, 2911, 1010, 2954, 5877, 11774, 2015, 1998, 4932, 1010, 8840, 4140, 8813, 1010, 1998, 2645, 1996, 17559, 21848, 1012, 2065, 1996, 2867, 2064, 8980, 2035, 8813, 2077, 2028, 1997, 1996, 2399, 2116, 2203, 3785, 4148, 1010, 2027, 2064, 11036, 2004, 4138, 21629, 1012, 3452, 1045, 2001, 2428, 3407, 2007, 1996, 6177, 1999, 2757, 2273, 2425, 2053, 7122, 1012, 1996, 5329, 1010, 13262, 1998, 19204, 2015, 2024, 2035, 2081, 2013, 2152, 3737, 4518, 2008, 2323, 18661, 2053, 10821, 1012, 2096, 7163, 2239, 2399, 2987, 1521, 1056, 10172, 1037, 2152, 11712, 1997, 4486, 1010, 1996, 3924, 2027, 2079, 2713, 2024, 2788, 2092, 2550, 1012, 2026, 5440, 7814, 1997, 1996, 6177, 2038, 2000, 2022, 1996, 8266, 1012, 2013, 1996, 21848, 2006, 1996, 2911, 13262, 2000, 1996, 2092, 4567, 11304, 5329, 1010, 1045, 2179, 1996, 8266, 2000, 2022, 2119, 23539, 1998, 11973, 1012, 1996, 8266, 2001, 2025, 2069, 17453, 24820, 2000, 2298, 2012, 1010, 2021, 2036, 2589, 1999, 1037, 2126, 2073, 2009, 2987, 1521, 1056, 15115, 2007, 2941, 2652, 1996, 2208, 1012, 24387, 2000, 13825, 3782, 9808, 13181, 10344, 2006, 1037, 3105, 2092, 2589, 999, 2005, 1996, 2087, 2112, 1010, 1996, 3627, 2338, 2106, 1037, 2204, 3105, 9990, 1996, 16371, 26755, 1997, 1996, 9760, 1998, 2081, 4083, 1996, 2208, 3733, 1012, 2045, 2020, 1037, 3232, 1997, 2752, 1010, 3262, 2007, 1996, 7195, 5329, 1010, 2008, 2071, 2031, 2042, 2062, 3154, 1012, 1037, 4248, 14855, 16671, 3784, 5985, 2039, 2151, 3980, 2057, 2018, 1012, 2129, 2000, 2377, 1024, 2182, 2003, 1037, 4248, 19184, 1997, 2129, 2000, 2377, 1012, 2065, 2017, 2215, 1996, 2440, 3513, 1010, 2017, 2064, 8816, 1037, 11135, 1997, 1996, 3513, 2182, 1012, 2320, 1996, 2208, 2003, 2275, 2039, 1998, 2169, 2447, 2038, 4217, 2037, 11304, 1010, 1996, 2208, 2003, 2209, 2007, 2169, 2447, 2635, 1037, 2735, 1999, 1996, 3115, 22839, 5450, 1012, 1996, 3125, 1997, 1996, 2208, 2003, 2000, 2424, 1998, 8980, 2035, 1996, 8840, 4140, 19204, 2015, 2013, 1996, 2911, 1012, 2023, 2097, 2022, 5973, 2013, 1018, 1011, 1020, 19204, 2015, 5834, 2006, 7669, 2504, 1998, 2447, 4175, 1012, 2012, 1996, 2707, 1997, 1037, 2447, 1521, 1055, 2735, 1010, 2027, 3945, 1996, 2911, 1012, 6575, 7336, 5059, 1996, 2327, 14090, 2013, 1996, 8632, 1998, 5815, 2009, 2000, 1996, 2911, 1012, 4303, 2442, 2022, 2872, 1999, 1037, 11177, 5450, 1010, 1998, 1037, 19204, 2003, 4567, 2013, 1996, 4524, 1998, 2794, 2000, 1996, 14090, 1012, 1037, 3280, 2003, 2036, 2872, 2006, 1996, 14090, 1006, 2788, 3225, 2012, 1037, 3563, 2193, 1007, 2000, 5050, 1996, 2543, 2504, 1997, 1996, 2282, 1012, 2867, 2031, 1019, 4506, 2000, 5454, 2013, 1024, 1011, 3328, 1024, 2693, 2000, 2019, 5516, 2282, 1012, 2065, 1996, 2282, 2038, 1037, 3020, 2543, 2504, 2084, 1996, 2282, 2017, 1521, 2128, 2975, 1010, 2017, 2202, 1996, 4489, 1999, 16342, 1012, 1011, 2448, 1024, 2693, 2048, 4734, 1006, 1998, 5114, 16342, 2004, 3671, 1007, 1010, 5114, 2019, 4469, 2048, 16342, 1012, 1011, 2954, 8769, 1024, 2896, 1996, 2543, 2504, 1999, 1996, 2282, 2017, 2024, 1999, 2011, 2028, 1012, 1011, 11027, 1037, 5877, 11774, 1024, 6366, 1037, 5877, 11774, 19204, 2013, 2115, 2282, 2030, 2019, 5516, 2282, 1012, 1011, 4060, 2039, 1037, 19204, 1024, 2202, 2019, 8875, 19204, 2013, 1996, 2282, 1012, 1011, 2717, 1024, 5547, 2115, 16342, 2504, 2011, 2048, 1012, 1011, 3623, 2115, 2645, 3997, 1024, 5587, 2028, 2000, 2115, 2645, 3997, 1012, 1011, 19948, 2115, 8875, 4003, 1024, 3863, 2115, 8875, 4003, 2007, 1037, 2367, 2028, 2013, 1996, 3914, 1012, 2065, 2017, 2412, 2693, 2046, 1037, 2282, 2007, 2019, 4099, 1010, 2017, 2442, 3202, 2954, 1006, 2025, 2019, 2895, 1007, 1012, 2023, 7336, 5291, 1037, 3280, 1998, 5815, 1996, 2765, 2000, 2115, 2645, 3997, 1012, 2065, 2017, 4897, 5020, 2000, 2030, 3618, 2084, 1996, 3997, 1997, 1996, 4099, 1010, 2017, 3102, 2032, 1012, 2633, 1010, 2012, 1996, 2203, 1997, 2115, 2735, 1010, 2017, 2442, 4009, 1037, 15315, 20806, 2102, 1521, 1055, 7195, 4003, 1012, 2023, 2097, 3426, 2536, 2919, 3896, 2000, 5258, 1010, 2164, 6274, 1996, 2543, 2504, 1999, 2035, 4734, 2007, 1037, 9844, 3280, 2030, 5815, 2062, 5877, 11774, 2015, 2000, 1996, 2911, 1012, 2000, 2663, 1996, 2208, 1010, 2867, 2442, 2424, 2035, 1996, 8813, 19204, 2015, 1998, 6366, 2068, 2013, 1996, 2911, 1998, 4019, 1012, 2045, 2024, 1020, 3971, 2000, 4558, 1996, 2208, 1024, 1011, 2065, 1996, 7738, 12115, 6561, 1996, 2203, 1997, 1996, 2650, 1012, 1011, 11303, 2000, 5587, 5877, 11774, 2015, 1010, 1998, 1996, 4770, 2003, 4064, 1012, 1011, 2065, 1037, 2282, 14090, 3685, 2022, 10142, 2794, 2000, 1996, 2911, 1012, 1011, 2065, 2438, 8813, 19204, 2015, 2031, 2042, 3908, 1006, 2349, 2000, 2282, 18217, 1007, 2008, 2017, 2064, 1521, 1056, 3113, 1996, 2208, 1521, 1055, 3125, 1012, 1011, 2065, 1037, 11304, 8289, 2044, 2035, 8813, 2038, 2042, 27775, 1012, 1011, 2065, 1037, 11304, 8289, 1998, 2045, 2024, 2053, 2062, 2187, 2000, 5454, 2013, 1012, 2044, 3228, 2757, 2273, 2425, 2053, 7122, 1037, 2261, 3248, 1010, 1045, 2071, 5791, 2156, 2019, 3747, 2013, 2070, 3080, 10791, 2399, 1012, 2757, 2273, 2425, 2053, 7122, 5683, 2066, 1037, 4666, 1997, 6090, 3207, 7712, 1998, 5956, 2391, 1024, 2543, 5343, 1012, 1998, 2008, 1521, 1055, 2025, 1037, 2919, 2518, 1012, 2119, 2024, 2204, 2522, 1011, 6728, 2399, 2008, 2031, 2037, 2219, 4978, 1998, 22182, 1012, 2130, 2295, 2757, 2273, 2425, 2053, 7122, 3849, 2000, 17781, 8474, 2013, 2216, 2399, 1010, 1045, 2145, 2514, 2066, 2009, 1521, 1055, 2367, 2438, 2000, 3233, 2006, 2049, 2219, 1012, 2028, 15893, 1045, 2428, 5959, 2003, 1996, 2126, 1996, 2543, 2003, 8971, 1012, 2169, 2282, 2038, 1037, 3280, 2008, 27353, 2049, 2543, 2504, 1012, 2065, 2008, 3280, 2412, 6561, 2416, 1010, 1996, 2282, 27583, 2096, 9846, 2673, 1999, 2009, 1012, 7297, 1010, 1996, 2543, 1999, 2035, 5516, 4734, 2024, 3445, 2011, 2028, 1012, 2070, 4734, 2130, 2031, 9898, 17710, 5620, 2008, 2097, 15044, 2006, 1037, 2896, 2193, 1012, 2061, 1996, 5793, 2693, 2003, 2000, 2467, 2022, 13845, 2035, 1996, 2543, 3798, 1010, 2157, 1029, 2092, 2025, 9352, 1012, 2043, 2017, 4009, 1996, 15315, 20806, 2102, 7195, 5329, 2012, 1996, 2203, 1997, 2115, 2735, 1010, 2070, 2097, 2031, 2017, 3623, 2035, 1996, 2543, 18740, 9844, 1996, 4567, 2193, 2011, 2028, 1012, 2061, 2065, 2017, 1521, 2310, 2042, 2551, 2428, 2524, 1998, 6668, 2431, 1996, 18740, 2000, 1037, 1017, 1010, 2092, 2085, 2035, 2216, 18740, 2024, 4852, 2011, 2028, 1012, 2009, 2471, 2022, 6806, 21818, 2015, 2017, 2000, 2562, 2115, 8769, 2012, 2367, 3798, 2000, 4468, 2242, 2066, 2008, 2013, 6230, 1012, 4661, 1010, 9592, 2024, 2017, 2180, 1521, 1056, 2022, 2583, 2000, 5247, 2008, 2116, 4506, 3554, 8769, 1012, 2045, 2003, 2074, 2061, 2172, 2000, 2079, 1999, 2757, 2273, 2425, 2053, 7122, 1012, 2013, 3554, 4932, 2005, 8813, 2000, 4363, 1996, 5877, 11774, 2015, 1999, 4638, 1010, 2017, 2097, 2196, 3768, 2005, 2477, 2000, 2079, 2006, 2115, 2735, 1012, 2130, 8345, 4150, 2019, 2590, 2895, 1012, 2004, 2017, 2468, 2062, 16342, 2094, 1010, 2017, 2707, 2893, 5299, 2041, 1997, 4734, 2007, 2152, 2543, 3798, 1012, 2045, 2003, 1037, 2307, 2507, 1998, 2202, 3267, 2000, 2023, 2208, 1012, 1045, 2514, 2066, 1045, 1521, 1049, 7887, 2667, 2000, 2562, 2322, 2367, 7766, 9419, 2012, 1996, 2168, 2051, 1012, 2007, 2035, 2216, 7670, 2006, 1037, 2447, 1521, 1055, 4506, 1010, 2009, 2428, 2081, 2033, 5959, 2129, 2045, 2024, 3243, 1037, 2261, 3971, 2000, 4558, 1012, 2023, 2749, 2867, 2000, 5703, 2041, 2037, 4506, 1998, 2025, 2074, 3579, 2006, 1037, 2261, 1012, 1045, 1521, 2310, 2439, 2757, 2273, 2425, 2053, 7122, 1999, 1037, 3232, 1997, 2367, 3971, 1010, 2023, 2208, 2064, 2428, 2562, 2017, 2006, 2115, 10393, 1010, 2926, 2012, 1996, 6211, 3798, 1012, 1996, 5877, 11774, 2015, 2097, 2022, 2028, 1997, 1996, 7046, 28408, 1999, 1996, 2867, 3903, 1012, 2057, 2941, 2018, 2062, 3314, 4363, 2068, 1999, 4638, 2084, 1996, 8769, 1012, 2023, 2003, 2926, 2995, 2044, 1996, 2911, 2038, 2018, 1037, 2116, 13262, 2794, 2000, 2009, 1012, 1999, 2755, 1010, 2028, 1997, 2256, 2867, 28834, 1996, 11304, 12323, 2000, 1996, 19960, 2594, 1999, 6090, 3207, 7712, 1012, 2057, 2471, 2514, 2066, 2017, 2031, 2000, 2377, 2007, 2014, 2138, 2014, 3754, 2003, 2061, 6179, 999, 1006, 2016, 2064, 3102, 1016, 5877, 11774, 2015, 2007, 2028, 2895, 1007, 1012, 1045, 2514, 2066, 2008, 2116, 1997, 1996, 3494, 2031, 1037, 2535, 2000, 2377, 1999, 2757, 2273, 2425, 2053, 7122, 1012, 2242, 2000, 2022, 5204, 1997, 2043, 2017, 2131, 2115, 11304, 2138, 2065, 2017, 2123, 1521, 1056, 5959, 3554, 8769, 1010, 2017, 2763, 2123, 1521, 1056, 2215, 2000, 2022, 2652, 11466, 13259, 1012, 2096, 2070, 8350, 7590, 2024, 7199, 2236, 1010, 2116, 2031, 4395, 2008, 2471, 2735, 2068, 2046, 15744, 1012, 2004, 2172, 4569, 2004, 2057, 2018, 2652, 2757, 2273, 2425, 2053, 7122, 1010, 2009, 2145, 2064, 2991, 2046, 1996, 2168, 14496, 2004, 2060, 10791, 2604, 2399, 1012, 8419, 2383, 2000, 3066, 2007, 2019, 6541, 2447, 9855, 1996, 2208, 1012, 2045, 2003, 2498, 2008, 2064, 2644, 2008, 1999, 1996, 2208, 1010, 2021, 2017, 2113, 2115, 10355, 2177, 2488, 2084, 3087, 1010, 2061, 2065, 2023, 2003, 1037, 3180, 3291, 2306, 2115, 2177, 1010, 2022, 18921, 9028, 7228, 1012, 2633, 1010, 2757, 2273, 2425, 2053, 7122, 2515, 1037, 11519, 3105, 2007, 2049, 2447, 25169, 1012, 1045, 7166, 2000, 9544, 1996, 2208, 2007, 1017, 2867, 2004, 1045, 2514, 2066, 1045, 2031, 1037, 2978, 2062, 2491, 2058, 1996, 2604, 1998, 1996, 2091, 7292, 2003, 1037, 2978, 2625, 1012, 2012, 1996, 3020, 2447, 9294, 1010, 2477, 2064, 2131, 1037, 2210, 19633, 2004, 1996, 2208, 2110, 3431, 2061, 2172, 2090, 2115, 4332, 1012, 2757, 2273, 2425, 2053, 7122, 3092, 2039, 2108, 1037, 4569, 10791, 2604, 2208, 2008, 1521, 1055, 2525, 2081, 2009, 2000, 2256, 13855, 7361, 1037, 2261, 2335, 1012, 2138, 2045, 2024, 2061, 2116, 2477, 2000, 2079, 1999, 1996, 2208, 1010, 1045, 2514, 2066, 2009, 2471, 2038, 1037, 11989, 3267, 2000, 2009, 1012, 1996, 2208, 2003, 2025, 3733, 2000, 2663, 1998, 2097, 5791, 3749, 2039, 1037, 4119, 1012, 5987, 2000, 4558, 2023, 2028, 1999, 1996, 2927, 1010, 2926, 2043, 2652, 2006, 1996, 6211, 7669, 3798, 1012, 2065, 2017, 2024, 1037, 5470, 1997, 2035, 2477, 11304, 1010, 2059, 2017, 2097, 5791, 2215, 2000, 4638, 2041, 2757, 2273, 2425, 2053, 7122, 1012, 2009, 2038, 2070, 5024, 9760, 1010, 6581, 2537, 3737, 1010, 1998, 2003, 3452, 2019, 14036, 10791, 2604, 2208, 1012, 2096, 2009, 2987, 1521, 1056, 3444, 2151, 2598, 4911, 9760, 1010, 2009, 2515, 1037, 2843, 1997, 2477, 2157, 1998, 2003, 4276, 1037, 3962, 2006, 2115, 10355, 11142, 1012, 4638, 2023, 2028, 2041, 2651, 1012, 2065, 2017, 1521, 1040, 2066, 2000, 6723, 1037, 6100, 1997, 2757, 2273, 2425, 2053, 7122, 1010, 2017, 2064, 4060, 2009, 2039, 2005, 2055, 1002, 2871, 1012, 2345, 3556, 1024, 1018, 3340, 1516, 1037, 4569, 17083, 2361, 2083, 1037, 5255, 2911, 2008, 13585, 1037, 2843, 1997, 5024, 9760, 2007, 2070, 10368, 11247, 1012, 1528, 2498, 2000, 2644, 1996, 6541, 2447, 8715, 1528, 2327, 1997, 1996, 2447, 4175, 2064, 2131, 19633, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4497, 2011, 4696, 2559, 2005, 1996, 2190, 1999, 20749, 1010, 3635, 10995, 1998, 15258, 2041, 1997, 2115, 17445, 1029, 2256, 4013, 2186, 17445, 3294, 20736, 2115, 2214, 1051, 6633, 17445, 2061, 2017, 2064, 5293, 2055, 2216, 5992, 24665, 6633, 24412, 1012, 2023, 27930, 2569, 7368, 4013, 2186, 17445, 2001, 2881, 2013, 1996, 2598, 1011, 2039, 2000, 13467, 1051, 6633, 15480, 2005, 7318, 3737, 1010, 2373, 1013, 2598, 16972, 1012, 2007, 2256, 23569, 27605, 5422, 1998, 1005, 9332, 1005, 3921, 1996, 2203, 2765, 2097, 2022, 1037, 4550, 1998, 4737, 2489, 8272, 2007, 1037, 12361, 2707, 2039, 1012, 2023, 17445, 2003, 4919, 13685, 2000, 2022, 2531, 1003, 13354, 1011, 1050, 1011, 2377, 1999, 2151, 1055, 1011, 11832, 4316, 2013, 1996, 2862, 2917, 2007, 1996, 1054, 21724, 5034, 11387, 3207, 2102, 2007, 1042, 21724, 1058, 2615, 2140, 5034, 11387, 3726, 2132, 3194, 19948, 1012, 2009, 2001, 2764, 1999, 2160, 2006, 2019, 5025, 5034, 11387, 3207, 2102, 1058, 2615, 2140, 7584, 3194, 2000, 5676, 1037, 3819, 4906, 2000, 2035, 3194, 7264, 1012, 27930, 2569, 7368, 4107, 1037, 2193, 1997, 7047, 2005, 2691, 2836, 18739, 2005, 2023, 4031, 1012, 3857, 2115, 3819, 17445, 2011, 17739, 2013, 1996, 2800, 7047, 2000, 1996, 2157, 1010, 1998, 2004, 2467, 1011, 2065, 2017, 2031, 2151, 3980, 1010, 3531, 3362, 2041, 2000, 2149, 1012, 3194, 1024, 1055, 17134, 1013, 1055, 16932, 1013, 1055, 16068, 5034, 11387, 3207, 2102, 2007, 1042, 21724, 1055, 17134, 5034, 11387, 3726, 1058, 2615, 2140, 2132, 7584, 1011, 2151, 5034, 11387, 3207, 2102, 1054, 21724, 2013, 26219, 2213, 1055, 17134, 27827, 2997, 1011, 2807, 1011, 2151, 5034, 11387, 3207, 2102, 1054, 21724, 2013, 26219, 2213, 1055, 17134, 8380, 2015, 2595, 2960, 1011, 2687, 1011, 2151, 5034, 11387, 3207, 2102, 1054, 21724, 2013, 26219, 2213, 1055, 16932, 27827, 2786, 1011, 2456, 1011, 2151, 5034, 11387, 3207, 2102, 1054, 21724, 2013, 26219, 2213, 1055, 16068, 27827, 2687, 1011, 2526, 11832, 1024, 16509, 1055, 1011, 11832, 1011, 1055, 17134, 1004, 1055, 16932, 11212, 2015, 2595, 1048, 14945, 1011, 1055, 17134, 27827, 1013, 8380, 2015, 2595, 1054, 14945, 1011, 1055, 16932, 1004, 1055, 16068, 27827, 1054, 14945, 1011, 1055, 16932, 3263, 2015, 2595, 9944, 1048, 14945, 4013, 1011, 2186, 17445, 4087, 28699, 2015, 1011, 13354, 1998, 2377, 1516, 3722, 1998, 8114, 1011, 2053, 4563, 17445, 2030, 3176, 27930, 3223, 1011, 1051, 6633, 7318, 6087, 2109, 1010, 2073, 12711, 1011, 2543, 18907, 11917, 15621, 22889, 4402, 6455, 2109, 1999, 2152, 1011, 8915, 8737, 5433, 2379, 1996, 19726, 1004, 15386, 1006, 1011, 2871, 7737, 2278, 1013, 1011, 2871, 7737, 2546, 2000, 1009, 10332, 7737, 2278, 1013, 1009, 6391, 2629, 7737, 2546, 4082, 4860, 1007, 1011, 2391, 1011, 2000, 1011, 2391, 13717, 7718, 2006, 2296, 7318, 1011, 3833, 2478, 6635, 1051, 6633, 19400, 2015, 1998, 13945, 1011, 2081, 2007, 2152, 8915, 8737, 19067, 2140, 7318, 2007, 4748, 21579, 22802, 14366, 2075, 1006, 1011, 2871, 7737, 2278, 1013, 1011, 2871, 7737, 2546, 2000, 1009, 8732, 7737, 2278, 1013, 1009, 24368, 7737, 2546, 4082, 4860, 1007, 1011, 5058, 1999, 12038, 27201, 8840, 5358, 1006, 1011, 6365, 7737, 2278, 1013, 1011, 14989, 7737, 2546, 2000, 1009, 8732, 7737, 2278, 1013, 1009, 24368, 7737, 2546, 4082, 4860, 1007, 1011, 2950, 1037, 3715, 17445, 1998, 5301, 5286, 1011, 3929, 7718, 2044, 2537, 2005, 2019, 3733, 13354, 1011, 1998, 1011, 2377, 8272, 4013, 1011, 2186, 17445, 2950, 1011, 2364, 3194, 1998, 6726, 2028, 1011, 3538, 9332, 17445, 1011, 11477, 27413, 3715, 5830, 1011, 7324, 13617, 19400, 1011, 5003, 10343, 19400, 1006, 1051, 6633, 2030, 9725, 1007, 1011, 1058, 2615, 2140, 7082, 3630, 3593, 19400, 1006, 1055, 1007, 1011, 12992, 7082, 3630, 3593, 19400, 1011, 1056, 4523, 19400, 1011, 1018, 2595, 1999, 20614, 2953, 7264, 1011, 11503, 13617, 19400, 1011, 1018, 1011, 9231, 1998, 1019, 1011, 9231, 16270, 15660, 9090, 19400, 2015, 1011, 1051, 6633, 7722, 13617, 19400, 1006, 2898, 12733, 27930, 2003, 2025, 2112, 1997, 1996, 1041, 8873, 17445, 1998, 3791, 2000, 2022, 8127, 1007, 1011, 2598, 3614, 5536, 1011, 18373, 2491, 1013, 3435, 18373, 19400, 2015, 1011, 3194, 4658, 4630, 13617, 1998, 7633, 4658, 4630, 8915, 8737, 6942, 1011, 7901, 13617, 19400, 1011, 3177, 13617, 19400, 1006, 2119, 1055, 17134, 1998, 1055, 16932, 19400, 2015, 2024, 8127, 1007, 1011, 11477, 27413, 19400, 1011, 11753, 4742, 19400, 1011, 1051, 6633, 3514, 3778, 1015, 1011, 9231, 19400, 1006, 2069, 1015, 1011, 9231, 2544, 8127, 1007, 1011, 16509, 16474, 2015, 19400, 1011, 11454, 1998, 19976, 3482, 7264, 2083, 1996, 8278, 17445, 1011, 6140, 3085, 16500, 8128, 2007, 4620, 1011, 2735, 3145, 3194, 2707, 11302, 1011, 6627, 2490, 2005, 2256, 6304, 1021, 2420, 1037, 2733, 2044, 20285, 14925, 2226, 4751, 1011, 2065, 2017, 2024, 2770, 2019, 2044, 20285, 14925, 2226, 1010, 2057, 2064, 7661, 4697, 2115, 4013, 17445, 2000, 4906, 2115, 6635, 3857, 5918, 1012, 11562, 2182, 2000, 8816, 1998, 12040, 1996, 14925, 2226, 1013, 3857, 4751, 2433, 2007, 2115, 2344, 1010, 2030, 2057, 2097, 3967, 2017, 2320, 1996, 2344, 2003, 2872, 2000, 8145, 1996, 2734, 4751, 1012, 1011, 29347, 2213, 15579, 1010, 4957, 1998, 14925, 2226, 5972, 3688, 1006, 1998, 2070, 2060, 26609, 14925, 2271, 1007, 2024, 2583, 2000, 2832, 1037, 2898, 12733, 4742, 7953, 17502, 3495, 2000, 1996, 14925, 2226, 1012, 1996, 21849, 1018, 1012, 1016, 2544, 1997, 1996, 25610, 1051, 2475, 13617, 2323, 2022, 2109, 1010, 2004, 2566, 29347, 2213, 1998, 14925, 2226, 5972, 1012, 7276, 1996, 9242, 2030, 10806, 19400, 2806, 1999, 1996, 7047, 2000, 2674, 2115, 25610, 1051, 2475, 19400, 1012, 1011, 2035, 14925, 2271, 2008, 2024, 4039, 2000, 2832, 1037, 2898, 12733, 4742, 3495, 1010, 2097, 2022, 17502, 2005, 1037, 4713, 1051, 2475, 13617, 1998, 1037, 12599, 3909, 2599, 2097, 2022, 3024, 2000, 7532, 1996, 14925, 2226, 2000, 1996, 2898, 12733, 11486, 1012, 2005, 14925, 2271, 2008, 2079, 2025, 2832, 1037, 6315, 2898, 12733, 4742, 1010, 1037, 11486, 2442, 2022, 2109, 1012, 21257, 2066, 2019, 29347, 2213, 1057, 20265, 7633, 8934, 2030, 1996, 9190, 15937, 2064, 2898, 12733, 3131, 2323, 2022, 2109, 1012, 1011, 29347, 2213, 15579, 1010, 9587, 26557, 1010, 4957, 1998, 14925, 2226, 5972, 17445, 2229, 2024, 3653, 1011, 17502, 2005, 3514, 3778, 1010, 4762, 3778, 1010, 3514, 8915, 8737, 1010, 24264, 2102, 1998, 4949, 13617, 27930, 3495, 2000, 1996, 14925, 2226, 1012, 23951, 4762, 2490, 2003, 2800, 2065, 9059, 1012, 14925, 2226, 2491, 1997, 1037, 12992, 2491, 7082, 3630, 3593, 2003, 2036, 2800, 2006, 2087, 17445, 2229, 1012, 1011, 13450, 1521, 1045, 1052, 11329, 25834, 2069, 2421, 1996, 24264, 2102, 13617, 1999, 1996, 2364, 17445, 1012, 1996, 4949, 13617, 2003, 17502, 10329, 1010, 2013, 1996, 1052, 11329, 3482, 3495, 2000, 1996, 13617, 1012, 4949, 13617, 17445, 2323, 2022, 4156, 2007, 1996, 1052, 11329, 1012, 6904, 4160, 1004, 2060, 4751, 1011, 11477, 27413, 3715, 5830, 1011, 2023, 8875, 7208, 1996, 11753, 1013, 6046, 3495, 2000, 1996, 11477, 27413, 6434, 1010, 2029, 4473, 1996, 5301, 2373, 16972, 2006, 2256, 17445, 2000, 11027, 1996, 7318, 2770, 2013, 1996, 11477, 27413, 2000, 1996, 19976, 8758, 1998, 1013, 2030, 6046, 2096, 2145, 13003, 1996, 6046, 5373, 1012, 1011, 14925, 2226, 8983, 17445, 1011, 2023, 11887, 8875, 11027, 2015, 1996, 2342, 2000, 3013, 2046, 2115, 3194, 17445, 2005, 16611, 1012, 2224, 1996, 3091, 1997, 7318, 3024, 2090, 1996, 27930, 17445, 13354, 1998, 1996, 14925, 2226, 2993, 2000, 16500, 16611, 2107, 2004, 2250, 1011, 4762, 5563, 1004, 21257, 1010, 3751, 12992, 21257, 1010, 7065, 1013, 3177, 5563, 1998, 2062, 1012, 1011, 2598, 2075, 8934, 1011, 2256, 8934, 7208, 1037, 2193, 2065, 3194, 6177, 2000, 1996, 2303, 1997, 1996, 2482, 1998, 21312, 2008, 2017, 2097, 2025, 2031, 3314, 4525, 2013, 3532, 5286, 1012, 1996, 2598, 2075, 8934, 21852, 11087, 2152, 8915, 8737, 11917, 15621, 22889, 4402, 6455, 2000, 3499, 8272, 2104, 2030, 2105, 15095, 6177, 1012, 2200, 12379, 15986, 7047, 3499, 2017, 2000, 7532, 1996, 3796, 1010, 2132, 1010, 6046, 11851, 1010, 11477, 27413, 2553, 1998, 11832, 2000, 3294, 11027, 2035, 2598, 2075, 3314, 1012, 1011, 3177, 2080, 1013, 11937, 2818, 4742, 14372, 1011, 1996, 7734, 3617, 22214, 2072, 1011, 1019, 3131, 2005, 3177, 1998, 1996, 22214, 2072, 1011, 1022, 3131, 2005, 11937, 2818, 2064, 1005, 4650, 1005, 1996, 4742, 2000, 19079, 2005, 2892, 1011, 4132, 19948, 2015, 1998, 1013, 2030, 3431, 2000, 1996, 2193, 1997, 18729, 1012, 2065, 1996, 5724, 6526, 2000, 5587, 2593, 3131, 2006, 1996, 17445, 3931, 2005, 2115, 19948, 1010, 2059, 2017, 2342, 2068, 2005, 5372, 3177, 2080, 1004, 11937, 2818, 3169, 1012, 3531, 3602, 2008, 2070, 21670, 1006, 8698, 2480, 1010, 13154, 1062, 2546, 1998, 1055, 16068, 27827, 2005, 2742, 1007, 2079, 2025, 2031, 1037, 3177, 13617, 1998, 2097, 5478, 1037, 2512, 1011, 17445, 2241, 5576, 2066, 1037, 14658, 3177, 2080, 1012, 2087, 16509, 2000, 16509, 19948, 2015, 2064, 3432, 14171, 1996, 11937, 9905, 22828, 2000, 19079, 1012, 1011, 13354, 1011, 1050, 1011, 2377, 5443, 5415, 1011, 13354, 1011, 1050, 1011, 2377, 17445, 2229, 7532, 2000, 2115, 2482, 1005, 1055, 2104, 9021, 19976, 3482, 2005, 2373, 1998, 2000, 19400, 2015, 2104, 1996, 11454, 2005, 7633, 2015, 4385, 1012, 5415, 17445, 2229, 2079, 2025, 2342, 2019, 2104, 9021, 19976, 8758, 2000, 7532, 2000, 1998, 1996, 27930, 2005, 7633, 2015, 1998, 5432, 4597, 2003, 3024, 2004, 1037, 1005, 3909, 2599, 1005, 2029, 2024, 6436, 14666, 12599, 2007, 2037, 3853, 1012, 1011, 2157, 2192, 3298, 1006, 1054, 14945, 1007, 25834, 1011, 2065, 2017, 2109, 2035, 1996, 4518, 1048, 14945, 11832, 19400, 2015, 2005, 2115, 1054, 14945, 19948, 1010, 2344, 1996, 1048, 14945, 2544, 1997, 1996, 17445, 1012, 2065, 2017, 2109, 2035, 1996, 12528, 1013, 19948, 1054, 14945, 11832, 19400, 2015, 1010, 2344, 1996, 1054, 14945, 2544, 1997, 1996, 17445, 1012, 2065, 2017, 2109, 1037, 5257, 1997, 1048, 14945, 1998, 1054, 14945, 11832, 19400, 2015, 1010, 3531, 3967, 2149, 2004, 2256, 17445, 2229, 2097, 2342, 14080, 1012, 1011, 2123, 1005, 1056, 2156, 2009, 1029, 1011, 2065, 2017, 2031, 1999, 20614, 5668, 1010, 24420, 2303, 1010, 17085, 23947, 2015, 2030, 2151, 2060, 8875, 2008, 2017, 2079, 2025, 2156, 2006, 1996, 7047, 14927, 1010, 3531, 3967, 2149, 1012, 9592, 2024, 2057, 2064, 2079, 2009, 999, 1011, 6046, 15196, 1013, 6046, 18344, 1011, 1996, 6046, 2442, 2022, 4198, 2000, 1996, 11753, 1010, 2061, 2017, 2342, 1037, 6046, 5830, 2013, 1996, 3893, 6046, 5536, 2000, 1996, 11753, 2364, 2373, 11320, 2290, 1012, 4050, 2023, 3893, 6046, 5830, 2036, 4204, 2039, 1996, 2364, 2104, 7415, 19976, 8758, 1010, 2029, 3216, 2116, 1997, 1996, 2512, 1011, 3194, 5167, 2006, 2115, 2482, 2066, 4592, 4597, 1010, 11454, 2373, 1998, 18167, 1013, 5725, 15733, 1012, 3531, 2191, 2469, 2017, 2031, 4810, 2005, 2023, 2004, 2169, 16500, 2003, 2367, 1012, 1011, 1048, 2015, 2475, 1013, 1048, 4160, 2683, 13938, 15754, 17085, 5308, 25834, 1011, 2057, 3749, 2019, 12200, 2000, 1996, 13938, 15754, 1048, 2015, 2475, 1013, 1048, 4160, 2683, 6047, 17085, 2015, 2006, 2087, 1997, 2256, 17445, 2229, 1012, 2023, 2097, 11027, 1996, 16270, 15660, 9090, 3294, 1006, 2043, 2556, 1007, 1010, 1998, 3499, 2017, 2000, 2224, 1996, 2152, 2836, 1048, 2015, 2475, 1013, 1048, 4160, 2683, 17085, 15173, 2029, 2024, 3733, 2000, 2424, 1012, 16500, 2006, 1046, 2480, 2030, 21144, 5209, 7906, 1996, 17085, 23947, 2015, 1999, 2037, 2434, 3295, 2058, 1996, 12125, 13354, 2007, 1996, 2224, 1997, 1037, 15986, 8934, 2013, 28017, 2836, 1012, 1996, 18628, 2421, 19719, 1010, 15986, 8051, 1010, 8903, 6879, 1998, 3967, 6076, 1998, 2064, 2022, 2794, 2000, 2115, 2344, 2011, 17739, 2068, 2013, 1996, 7047, 2862, 2000, 1996, 2157, 1012, 16500, 2006, 2060, 5209, 2097, 5478, 1037, 7661, 15986, 5576, 1998, 4469, 3033, 1011, 3531, 3967, 2149, 2005, 4751, 1012, 3602, 1024, 1051, 6633, 11742, 1046, 2480, 14925, 2271, 5478, 2019, 1045, 25708, 4742, 2550, 2011, 1996, 16270, 15660, 9090, 1012, 2043, 1996, 9090, 2003, 3718, 2005, 1048, 2015, 2475, 1013, 1048, 4160, 2683, 17085, 12200, 1010, 2019, 2044, 20285, 14925, 2226, 2030, 1045, 25708, 25837, 3482, 2003, 3223, 1006, 2025, 2443, 2007, 2256, 17445, 1007, 1010, 1998, 1996, 17085, 2015, 2097, 2022, 5045, 25582, 2135, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2089, 5344, 2576, 5325, 2004, 8554, 3065, 2074, 2260, 1003, 2067, 2014, 7987, 10288, 4183, 11865, 11818, 2007, 7206, 9564, 2000, 2524, 1011, 2157, 1998, 3038, 11235, 2071, 2079, 2488, 2004, 7610, 1011, 2004, 2585, 4482, 4136, 2014, 2000, 10973, 2039, 2014, 3488, 1998, 2707, 2153, 1011, 14781, 2089, 2003, 3554, 2000, 2907, 23413, 2229, 2362, 13463, 1999, 22158, 2058, 7987, 10288, 4183, 2933, 1011, 8554, 6083, 2260, 2566, 9358, 1997, 2270, 2228, 2014, 18178, 4226, 2869, 2933, 2052, 2022, 2204, 2005, 2866, 1011, 4654, 1011, 7987, 10288, 4183, 3187, 2585, 4482, 23876, 7610, 2000, 10973, 2039, 2014, 10340, 1998, 2707, 2153, 1011, 11282, 10958, 7875, 14456, 2002, 2003, 2145, 2667, 2000, 2663, 2058, 21888, 5239, 7767, 2074, 2260, 2566, 9358, 2056, 1996, 12014, 5576, 2108, 28683, 2011, 1996, 7610, 2052, 2022, 2204, 2005, 3725, 1012, 1999, 1037, 3391, 22748, 4531, 1010, 1996, 2470, 2179, 2008, 3807, 2004, 2116, 2111, 2245, 11235, 3779, 2052, 2079, 1037, 2488, 3105, 1999, 22501, 2395, 1012, 3680, 2089, 2003, 17773, 2000, 2907, 1996, 23413, 2229, 2362, 2004, 2016, 9652, 25740, 2015, 2000, 2404, 2362, 1037, 3066, 2007, 1996, 7327, 1012, 2720, 3779, 1998, 2585, 4482, 2119, 8046, 5239, 2044, 1996, 4239, 3140, 2083, 1037, 12014, 2933, 2083, 2012, 1037, 18178, 4226, 2869, 6465, 2005, 7767, 1037, 3481, 15864, 3283, 1012, 2429, 2000, 1037, 2017, 3995, 2615, 8554, 2005, 1996, 4465, 2335, 1010, 2074, 2260, 2566, 9358, 1997, 1996, 2270, 2228, 1996, 18178, 4226, 2869, 2933, 2052, 2022, 2204, 2005, 3725, 1010, 2096, 4724, 2566, 9358, 21090, 14781, 2089, 1010, 15885, 2012, 2277, 1999, 2014, 10494, 4974, 5540, 2651, 2007, 3129, 5170, 1010, 2003, 17773, 2000, 2907, 1996, 23413, 2229, 2362, 2004, 2016, 9652, 25740, 2015, 2000, 2404, 2362, 1037, 3066, 2007, 1996, 7327, 2021, 2720, 4482, 1005, 1055, 6110, 2004, 7987, 10288, 4183, 3187, 11282, 10958, 7875, 4914, 2651, 2008, 2002, 2003, 2145, 2667, 2000, 2663, 2058, 2070, 21888, 5239, 7767, 2000, 1996, 10340, 1011, 2029, 2052, 2156, 1996, 2866, 15470, 1037, 1005, 2691, 3627, 2338, 1005, 2007, 9371, 1998, 8145, 2070, 7773, 2006, 6852, 1997, 1996, 15984, 1012, 5564, 1010, 2720, 4482, 2038, 10653, 2094, 2067, 2046, 1996, 5216, 2011, 14328, 3680, 2089, 2000, 10973, 2039, 2014, 3488, 10462, 1998, 2707, 2153, 1012, 1996, 10340, 2036, 2079, 2025, 2596, 2000, 2031, 5359, 1996, 12687, 2007, 1996, 7327, 2008, 3680, 2089, 2018, 5113, 1011, 2004, 10069, 4125, 1997, 1037, 2053, 1011, 3066, 7987, 10288, 4183, 1012, 8709, 8659, 3771, 2435, 1996, 3488, 2460, 14880, 6199, 1037, 1037, 12077, 2811, 3034, 2006, 5958, 1010, 9104, 2027, 2052, 2022, 21873, 1012, 2429, 2000, 1037, 2017, 3995, 2615, 8554, 2005, 1996, 4465, 2335, 1010, 2074, 2260, 2566, 9358, 1997, 1996, 2270, 2228, 1996, 18178, 4226, 2869, 2933, 2052, 2022, 2204, 2005, 3725, 1010, 2096, 4724, 2566, 9358, 21090, 1012, 2070, 2385, 2566, 9358, 1997, 7206, 2228, 3680, 2089, 2003, 8304, 7776, 2092, 1011, 4102, 2000, 4090, 2566, 9358, 2040, 2903, 2280, 3097, 3187, 2720, 3779, 1006, 15885, 1999, 2414, 2197, 2733, 1007, 2052, 2079, 1037, 2488, 3105, 7987, 10288, 4183, 3187, 11282, 10958, 7875, 1006, 15885, 2187, 1007, 4914, 2651, 2008, 2002, 2003, 2145, 2667, 2000, 2663, 2058, 2070, 21888, 5239, 7767, 2000, 1996, 18178, 4226, 2869, 10340, 1012, 1996, 7327, 1005, 1055, 8709, 8659, 3771, 1006, 2157, 1007, 2435, 1996, 3488, 2460, 14880, 6199, 2012, 1037, 12077, 2811, 3034, 1999, 9371, 2006, 5958, 2280, 7987, 10288, 4183, 3187, 2585, 4482, 2038, 22416, 2178, 16183, 6767, 2012, 1996, 7610, 1005, 1055, 12014, 2630, 16550, 2005, 2925, 3119, 2070, 2385, 2566, 9358, 1997, 7206, 2228, 3680, 2089, 2003, 8304, 7776, 2092, 1011, 4102, 2000, 4090, 2566, 9358, 2040, 2903, 2280, 3097, 3187, 2720, 3779, 2052, 2079, 1037, 2488, 3105, 1012, 2105, 4229, 2566, 9358, 2052, 3789, 2005, 1037, 2047, 2283, 2006, 1996, 2157, 2008, 2001, 5462, 2000, 7987, 10288, 4183, 1012, 2198, 2350, 2758, 4840, 7987, 10288, 4183, 9782, 2003, 1005, 28980, 15123, 1005, 3961, 2545, 2031, 3706, 2039, 4455, 2005, 1037, 2117, 9782, 2006, 7987, 10288, 4183, 2651, 1012, 17117, 4654, 1011, 7610, 2909, 2198, 2350, 5567, 2010, 3193, 2008, 2178, 2120, 10428, 2052, 2022, 1005, 28980, 15123, 1005, 1012, 1005, 2009, 2038, 12482, 8621, 1012, 1045, 2812, 1010, 19597, 1010, 1037, 2117, 3789, 2038, 3537, 12482, 8621, 1012, 2009, 2038, 8190, 1010, 1005, 2002, 2409, 1996, 4035, 1005, 1055, 4080, 9388, 2099, 2265, 1012, 1005, 2021, 2003, 2009, 28980, 15123, 1029, 1045, 2228, 2009, 2003, 1012, 1005, 2065, 2017, 2298, 2067, 2012, 1996, 2681, 3049, 1037, 2307, 2116, 1997, 1996, 10659, 2027, 2081, 2020, 5913, 10659, 1012, 1005, 2057, 2085, 2113, 2027, 2024, 2025, 2183, 2000, 2022, 2777, 1012, 1005, 7727, 2000, 1996, 1005, 20868, 2890, 8663, 6895, 20470, 2571, 1005, 11032, 2579, 2011, 2524, 4179, 17117, 7987, 10288, 4221, 2545, 1010, 2909, 2198, 2056, 1024, 1005, 2008, 2038, 27554, 1996, 2231, 1998, 3391, 1996, 3539, 2704, 2046, 1037, 3420, 1012, 1005, 2027, 2024, 1037, 7162, 1997, 1996, 2160, 1997, 7674, 1010, 1037, 6937, 7162, 1997, 1996, 2160, 1997, 7674, 1010, 2021, 2027, 2024, 3469, 2084, 1996, 2231, 1005, 1055, 3484, 1012, 1005, 1996, 5473, 2012, 1996, 2617, 2003, 2008, 2027, 2097, 10424, 19966, 11657, 2296, 2693, 1996, 2231, 6148, 2000, 2191, 1998, 2011, 4926, 1010, 2138, 2498, 2064, 2022, 3530, 1010, 2057, 2097, 5823, 2041, 2302, 1037, 3066, 1012, 1005, 2070, 2484, 2566, 9358, 2052, 2022, 4810, 2000, 2490, 2019, 12045, 2521, 1011, 2157, 3424, 1011, 11560, 1010, 3424, 1011, 7025, 2283, 1012, 2021, 1999, 1037, 3696, 1997, 1996, 6233, 11508, 5084, 2110, 1997, 1996, 2866, 1010, 2028, 1999, 2093, 7206, 2052, 2022, 4810, 2000, 2067, 1037, 2047, 3424, 1011, 7987, 10288, 4183, 9358, 15061, 2283, 1012, 1999, 2019, 4357, 2007, 1996, 4465, 4671, 1010, 2720, 4482, 1011, 2040, 8046, 1037, 3481, 15864, 3283, 1999, 6186, 2012, 3680, 2089, 1005, 1055, 3921, 1011, 10173, 7776, 2007, 1996, 7327, 2052, 3961, 2757, 7878, 2098, 1012, 1005, 2057, 1005, 2128, 2183, 2000, 2031, 2000, 2079, 1037, 25141, 1998, 2272, 2067, 1998, 2298, 2012, 2009, 2035, 2153, 1010, 1005, 2002, 2056, 1012, 1005, 1045, 2228, 2043, 2057, 2131, 2000, 1996, 7114, 1010, 2065, 2057, 2024, 1999, 1996, 3663, 2073, 2057, 2123, 1005, 1056, 2031, 2151, 3014, 1997, 3820, 1010, 2057, 1005, 2128, 2183, 2000, 2031, 2000, 2707, 2153, 1012, 1005, 2720, 4482, 9720, 7767, 2000, 4009, 2039, 4840, 10340, 2241, 2006, 2019, 21968, 1997, 1996, 1005, 2190, 9017, 1005, 1997, 9144, 1996, 7327, 2038, 2525, 4930, 2007, 2060, 3032, 1010, 2107, 2004, 2710, 1010, 2148, 4420, 1010, 5288, 1998, 2047, 3414, 1012, 2021, 2002, 2056, 12929, 2005, 2053, 3066, 2342, 2000, 23306, 2013, 1996, 2783, 2597, 1997, 1005, 23363, 1998, 6187, 5558, 2571, 1005, 2000, 1005, 3094, 1998, 2491, 1005, 1012, 1005, 2011, 1996, 2203, 1997, 1996, 2621, 2009, 2323, 2022, 5810, 2057, 2024, 2437, 5372, 12929, 2005, 2023, 1010, 1005, 2002, 2056, 1012, 2720, 10958, 7875, 2039, 5669, 1996, 14405, 2063, 1999, 7776, 2011, 5432, 1996, 2866, 2071, 10214, 2000, 3477, 2049, 28182, 2683, 24457, 3258, 8179, 3021, 2000, 9371, 2065, 2009, 2515, 2025, 2131, 1037, 3119, 3066, 1012, 2002, 7420, 2045, 2052, 2022, 1005, 18462, 3012, 1005, 2104, 1996, 3720, 2753, 10534, 7337, 2090, 9853, 3725, 1005, 1055, 6164, 7909, 1998, 4526, 1037, 2047, 3276, 2007, 1996, 7327, 1012, 2021, 2002, 5393, 2002, 2001, 2145, 2667, 2000, 13984, 2035, 2372, 1997, 1996, 5239, 2008, 14781, 2089, 1005, 1055, 18178, 4226, 2869, 3820, 2001, 1005, 1996, 2190, 2933, 2000, 2131, 1996, 2190, 3066, 1005, 1012, 2002, 2056, 1024, 1005, 3720, 2753, 5942, 1010, 2004, 2057, 13676, 1996, 10534, 3820, 1010, 2008, 2045, 1005, 1055, 1037, 2925, 7705, 2005, 2256, 2047, 3276, 2183, 2830, 1010, 2061, 1996, 2048, 2024, 5799, 1012, 17117, 2280, 7610, 2909, 2198, 2350, 7278, 2006, 1996, 4035, 1005, 1055, 4080, 9388, 2099, 2265, 2651, 1006, 15885, 1007, 2008, 2178, 2120, 10428, 2052, 1005, 28980, 15123, 1005, 2138, 16393, 2015, 2013, 19329, 3401, 20746, 2015, 2076, 1996, 2355, 2018, 2357, 2041, 2000, 2022, 6270, 2061, 2054, 2052, 4148, 2065, 2057, 2074, 2939, 2185, 1029, 2975, 2302, 1037, 3066, 2052, 2812, 2019, 6234, 7987, 10288, 4183, 2006, 2233, 2756, 2044, 13311, 2039, 1037, 2538, 1011, 3204, 6653, 3820, 1012, 2023, 2443, 3228, 28182, 2683, 24457, 3258, 2000, 1996, 7327, 1010, 2029, 7767, 2052, 2053, 2936, 2031, 2000, 3477, 1010, 1037, 2160, 1997, 8140, 3189, 4447, 1012, 1996, 18178, 4226, 2869, 3820, 6464, 3818, 4363, 3725, 1999, 1996, 2309, 3006, 2005, 5350, 1998, 5237, 2000, 7969, 1005, 15012, 3238, 1005, 3119, 1998, 4047, 1996, 4610, 1012, 8205, 14148, 2006, 2892, 1011, 3149, 8441, 2052, 3426, 22156, 2012, 8831, 1010, 7294, 2833, 6067, 1998, 2060, 5350, 1012, 2130, 7987, 10288, 4221, 2545, 6449, 2000, 1037, 2502, 3171, 4254, 1999, 1996, 2460, 2744, 1012, 3725, 2071, 23701, 3726, 8205, 14148, 2006, 7327, 3965, 2000, 2489, 2039, 2067, 21197, 2015, 1010, 2021, 2052, 9371, 2079, 1996, 2168, 1029, 2035, 7327, 1011, 2866, 3119, 1999, 5350, 2003, 2489, 1997, 26269, 1999, 1996, 2309, 3006, 1012, 3119, 2052, 7065, 8743, 2000, 2088, 3119, 5502, 3513, 1012, 1996, 7327, 2052, 3715, 12324, 26269, 14985, 1016, 1011, 1017, 2566, 9358, 2006, 5350, 1010, 2021, 2039, 2000, 3438, 2566, 9358, 2005, 2070, 4910, 3965, 1010, 15011, 2866, 9167, 2545, 1012, 2057, 2031, 1037, 3119, 15074, 2007, 1996, 7327, 1997, 1069, 2581, 2487, 24457, 3258, 1516, 2027, 5271, 2149, 2062, 2084, 2057, 5271, 2068, 1516, 2061, 1996, 7327, 3452, 2052, 4558, 2041, 1012, 2446, 3765, 1998, 2413, 5237, 2052, 2022, 5409, 2718, 1010, 2004, 2052, 2866, 4655, 2007, 2312, 9167, 6088, 1012, 26269, 2071, 2036, 2812, 3976, 14200, 1012, 2021, 2866, 3119, 2007, 1996, 7327, 2003, 2410, 2566, 9358, 1997, 14230, 1998, 4634, 4102, 2000, 2512, 1011, 7327, 3119, 1010, 2029, 19421, 1037, 15726, 1998, 2003, 3497, 2000, 4982, 1012, 1996, 17680, 2052, 2022, 28043, 2011, 3725, 1005, 1055, 3754, 2000, 4894, 3119, 9144, 1012, 1996, 2866, 2052, 3202, 2031, 2491, 2058, 2049, 6645, 1998, 4071, 2000, 2275, 9230, 3343, 2006, 2035, 7327, 16836, 1012, 2866, 10342, 2052, 3497, 4558, 2037, 2157, 2000, 2444, 1998, 2147, 1999, 1996, 7327, 1012, 2045, 2052, 2022, 3423, 12503, 2005, 1996, 1015, 1012, 1017, 19912, 3258, 28101, 5644, 2542, 1999, 1996, 7327, 1998, 1996, 1017, 1012, 1021, 19912, 3258, 7327, 10342, 2182, 1012, 2103, 1997, 2414, 2116, 9786, 2031, 2525, 2081, 9530, 3436, 11916, 3488, 2005, 2053, 3066, 1010, 2021, 2045, 2052, 2763, 2022, 1037, 3278, 3014, 1997, 20461, 1998, 2019, 3171, 2718, 1012, 7767, 2052, 2022, 3497, 2000, 2202, 2019, 12946, 2000, 4171, 1998, 7040, 2000, 7969, 1996, 2866, 1005, 1055, 3171, 5056, 1012, 10069, 1997, 9738, 2025, 2108, 2583, 2000, 4875, 3711, 2521, 1011, 18584, 2098, 1516, 4983, 1996, 7327, 2003, 4340, 2000, 6033, 2119, 2449, 1998, 6813, 1012, 3513, 2000, 2562, 9738, 1999, 1996, 2250, 2024, 3497, 2000, 2022, 3530, 1012, 1996, 7327, 2038, 2116, 9144, 2007, 2512, 1011, 7327, 3032, 2004, 2112, 1997, 2049, 2330, 15717, 6939, 1012, 3725, 2052, 2022, 2489, 2013, 1996, 24754, 2015, 1997, 1996, 2647, 2457, 1997, 3425, 1999, 10765, 1998, 2035, 7327, 4277, 1012, 3323, 2052, 2022, 11074, 1012, 7876, 1004, 5645, 1996, 2866, 2052, 8046, 1996, 2691, 4910, 3343, 1010, 2029, 3957, 6617, 1998, 20152, 28182, 24457, 3258, 1999, 21762, 1012, 7767, 2052, 2272, 2104, 3778, 2000, 3613, 1037, 2433, 1997, 28768, 1012, 2642, 3163, 2052, 2022, 2648, 1996, 7327, 1010, 2007, 2053, 7565, 2006, 2129, 2000, 6133, 3998, 5153, 2685, 2006, 1996, 17196, 1011, 3542, 3675, 1012, 1996, 7327, 2052, 2215, 3163, 2000, 17607, 8205, 1998, 2060, 14148, 2000, 4047, 1996, 15984, 1005, 1055, 3675, 1516, 2242, 2009, 2038, 2056, 2009, 2097, 2025, 2079, 1012, 2053, 3066, 2071, 6271, 1037, 4920, 1999, 1996, 2204, 5958, 3820, 1010, 2007, 3778, 2006, 2035, 3903, 2000, 2424, 1037, 12014, 1012, 2087, 3427, 2739, 6876, 1011, 2257, 1024, 2777, 2436, 19939, 2015, 3612, 1998, 3082, 4542, 1999, 3182, 1011, 16880, 8333, 3065, 21451, 20464, 12462, 1011, 13681, 26599, 2108, 9587, 15557, 2091, 2011, 2482, 1011, 8333, 3065, 2011, 21515, 2545, 11147, 2158, 4435, 21837, 2312, 5442, 1011, 2329, 13095, 17946, 7971, 27907, 2015, 4389, 2015, 1999, 13576, 6167, 27058, 3366, 2678, 1011, 7987, 2819, 8029, 2155, 5881, 1999, 7067, 2191, 14865, 2000, 6484, 2103, 2473, 1011, 16939, 2158, 1999, 10031, 4491, 3309, 3095, 1998, 2655, 2068, 1005, 1050, 1008, 1008, 1008, 1008, 1008, 1055, 1005, 1011, 2678, 19391, 4760, 2345, 5312, 1997, 28101, 2040, 2351, 1999, 21307, 21335, 1011, 2250, 10771, 28057, 2464, 1999, 2414, 2044, 6884, 8691, 2886, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2393, 2017, 3275, 2041, 2115, 15653, 6238, 12635, 3791, 1012, 2256, 15653, 15608, 2788, 2175, 2041, 2168, 1011, 2154, 2030, 2279, 1011, 2154, 5834, 2006, 2043, 2017, 2655, 1012, 2057, 3073, 2327, 1011, 18624, 2326, 1010, 2096, 2183, 3733, 2006, 2115, 3953, 2240, 1012, 2054, 2062, 2071, 2017, 3198, 2005, 1029, 2256, 4738, 9224, 2024, 2182, 2000, 2507, 2017, 1037, 3435, 1998, 2038, 25016, 1011, 2489, 3325, 2013, 2707, 2000, 3926, 1012, 2320, 2017, 2024, 2589, 1010, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2131, 2115, 15653, 6238, 3856, 2039, 2157, 2185, 999, 2256, 3095, 2003, 2182, 2000, 2393, 7188, 2017, 2342, 2009, 1012, 3432, 4060, 2039, 1996, 3042, 1998, 2507, 2149, 1037, 2655, 1012, 2087, 6890, 15653, 6238, 12635, 3316, 2097, 2202, 2729, 1997, 12329, 2023, 9146, 2005, 2017, 2065, 2017, 9278, 2013, 2068, 1012, 2191, 2469, 2008, 2065, 2017, 1521, 2128, 4041, 2000, 2404, 1996, 15653, 6238, 2006, 1996, 2395, 1010, 1996, 2194, 2038, 2081, 1996, 6413, 7565, 1012, 2017, 2323, 2036, 5676, 2008, 2017, 2131, 1996, 9146, 1999, 1037, 23259, 5450, 1998, 2012, 1996, 6149, 3465, 1012, 2065, 2017, 2245, 1996, 15653, 6238, 2194, 2001, 2893, 1037, 9146, 1998, 2027, 2106, 2025, 1010, 2017, 2097, 2022, 1996, 2028, 2040, 2097, 2031, 2000, 3477, 1996, 2986, 2008, 2003, 3843, 2011, 1996, 4614, 1012, 2043, 2017, 10295, 1037, 2449, 2017, 2342, 2000, 2228, 2041, 1997, 3482, 1999, 2035, 1996, 5919, 1997, 2551, 2115, 2449, 1010, 3251, 4714, 7814, 2066, 7149, 2007, 1996, 11669, 2004, 2092, 2004, 2350, 7814, 2066, 27520, 2007, 3934, 1012, 2043, 2017, 2219, 1037, 3278, 2449, 2017, 2024, 2055, 9699, 3278, 6197, 1997, 5949, 2029, 3084, 2008, 2017, 4937, 2588, 2980, 6386, 2043, 2017, 2031, 2321, 2060, 2477, 2105, 1996, 5127, 1012, 2017, 2428, 2323, 5672, 2008, 2097, 3714, 4211, 2030, 2035, 1996, 2214, 7086, 2015, 1999, 2115, 2188, 1012, 2115, 2918, 15271, 2453, 2342, 2000, 2999, 2205, 1012, 1996, 10135, 2075, 1999, 2115, 3297, 2188, 2071, 2342, 6419, 2362, 2007, 2070, 1997, 1996, 5024, 3536, 8158, 1012, 2007, 2115, 1037, 2502, 4119, 2017, 2113, 2008, 2017, 2342, 2000, 9278, 1037, 15653, 6238, 1012, 2197, 2021, 2025, 2560, 1010, 1996, 2810, 12455, 2064, 4929, 1996, 3907, 2075, 2125, 12817, 1997, 1996, 2047, 2918, 15271, 1998, 20300, 2802, 1996, 3452, 2160, 1012, 2115, 2099, 2188, 2003, 2183, 2000, 3711, 2000, 2022, 1037, 2265, 24759, 10732, 1996, 2617, 2673, 2003, 2949, 1012, 2025, 2069, 2003, 1996, 2190, 2047, 11549, 1998, 2188, 3376, 1010, 2021, 2009, 2003, 2004, 2092, 2004, 2200, 6625, 2005, 2017, 1998, 2115, 2155, 1012, 2017, 2031, 2081, 2115, 5544, 2022, 3651, 1999, 1996, 2188, 2017, 4299, 2000, 2444, 1999, 1012, 11381, 1037, 15653, 6238, 2326, 2000, 2191, 2009, 6082, 2000, 4550, 2041, 2008, 2097, 2502, 1010, 3080, 7381, 8966, 2007, 2040, 1011, 4282, 1011, 2054, 2003, 1037, 2204, 2801, 1012, 6600, 2116, 2111, 2079, 2025, 3305, 2009, 1010, 2017, 11276, 2025, 2224, 1037, 3151, 7381, 4060, 2039, 2004, 1037, 2126, 2000, 2202, 2185, 1996, 11385, 1999, 2804, 2000, 2214, 5167, 2017, 1005, 2310, 5552, 1999, 2023, 2542, 2686, 1012, 2017, 2089, 3066, 2007, 21892, 2004, 2092, 2004, 12546, 4340, 2011, 2054, 2017, 2131, 2443, 1999, 2008, 1012, 2738, 1010, 2023, 2003, 1037, 2204, 2801, 2000, 12666, 1037, 2194, 2000, 9885, 2125, 15653, 15608, 2006, 1996, 2188, 2061, 2008, 2017, 2064, 2147, 2083, 2023, 6752, 2008, 2017, 2342, 2000, 1999, 2804, 2000, 10055, 4237, 2054, 2017, 2342, 2000, 2247, 1996, 2126, 1012, 2045, 2024, 1037, 2193, 1997, 12637, 2000, 14570, 2075, 2023, 1012, 7312, 1997, 5490, 13860, 4063, 2537, 2130, 2295, 2028, 1997, 1996, 2190, 9942, 2000, 2131, 2307, 3463, 1010, 2023, 2064, 2025, 2022, 2467, 2825, 1010, 5024, 5490, 13860, 4063, 4245, 4150, 13418, 1999, 3056, 3934, 2714, 2000, 2810, 1010, 2188, 10525, 1010, 16125, 4550, 2039, 1999, 2804, 2000, 3293, 8208, 1012, 2023, 5949, 2038, 2000, 2022, 21866, 6464, 2004, 1037, 2126, 2000, 5547, 4254, 1997, 10796, 2006, 1996, 7224, 1012, 15653, 6238, 12635, 2003, 1996, 2190, 1999, 2804, 2000, 15184, 5576, 2000, 27764, 1996, 13044, 1999, 4372, 21663, 8462, 15758, 2135, 5379, 5379, 4118, 1012, 2122, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 1010, 6396, 3316, 2012, 2137, 15075, 2097, 5271, 2035, 1996, 7792, 11669, 2007, 4483, 4010, 1998, 5379, 5450, 1998, 18478, 1996, 2686, 3161, 2011, 1996, 5949, 1999, 1996, 2256, 28382, 2015, 1012, 2035, 2115, 5949, 2097, 2022, 12176, 2039, 2007, 7407, 6393, 3465, 6464, 2478, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 1010, 6396, 1999, 2137, 15075, 1010, 2061, 5949, 8026, 12635, 5836, 1037, 3145, 2597, 1999, 8161, 1996, 4254, 1997, 10796, 2006, 1996, 7224, 1010, 6516, 4150, 13418, 1999, 1996, 2479, 2714, 2000, 2137, 15075, 2005, 2017, 2000, 7969, 2023, 12231, 9396, 1997, 1996, 8842, 1012, 2006, 7678, 1996, 2622, 2017, 2097, 2031, 1037, 2200, 3154, 6302, 2055, 1996, 2828, 1997, 5949, 21866, 2046, 1996, 15653, 6238, 3568, 1010, 4638, 2007, 3954, 2065, 2027, 2024, 3497, 2000, 5138, 1996, 2828, 1997, 11669, 21866, 2011, 2017, 2349, 2000, 1996, 2755, 2070, 3316, 21573, 3209, 2000, 28667, 2100, 20464, 3085, 11669, 1012, 9278, 2075, 2151, 15653, 6238, 2326, 2005, 2115, 11669, 8208, 2003, 1996, 21304, 2126, 2000, 2131, 9436, 1997, 6151, 2229, 27559, 5167, 1012, 2116, 3316, 3749, 1037, 8013, 1996, 3722, 3601, 1997, 2746, 2000, 2115, 2188, 1998, 2383, 2115, 5949, 2185, 1012, 2348, 1037, 14057, 4522, 1010, 2116, 2065, 2017, 9544, 1037, 3528, 1997, 9804, 2000, 5454, 2013, 1012, 4398, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 1010, 6396, 2015, 4425, 2025, 2069, 2023, 7814, 2000, 2037, 6304, 1010, 2021, 2036, 2024, 1996, 6919, 3853, 1997, 4346, 2017, 2007, 2115, 2219, 3167, 15653, 6238, 2000, 5676, 2028, 2064, 2131, 9436, 1997, 2037, 4469, 11669, 1999, 2037, 2219, 3446, 1012, 2009, 2038, 2000, 2022, 3970, 1999, 2029, 3923, 3550, 3655, 2052, 2022, 1996, 9594, 2005, 1996, 2087, 1997, 2810, 5949, 1010, 2658, 5949, 2008, 1005, 1055, 7013, 1999, 1996, 3842, 1010, 2027, 2036, 2735, 2041, 2000, 2022, 3120, 4953, 4245, 4953, 2665, 3871, 5949, 2247, 2007, 2160, 5441, 5949, 2138, 2216, 1999, 1996, 3923, 3550, 4956, 2752, 2024, 2467, 2067, 2153, 1997, 5278, 8973, 6516, 23569, 2005, 5377, 15582, 1997, 1996, 11107, 1012, 2111, 2551, 1999, 2810, 4708, 1998, 2111, 2503, 3518, 3962, 2131, 2062, 5360, 2065, 1996, 13044, 17835, 2039, 1999, 2107, 5269, 2064, 2022, 17835, 4953, 2003, 2025, 12176, 3202, 1012, 2009, 2003, 5263, 2000, 2131, 9436, 1997, 2107, 1037, 2312, 11669, 7013, 2013, 2122, 11107, 3202, 2065, 11669, 9614, 2003, 3344, 2006, 2969, 1010, 2122, 4127, 1997, 2003, 1996, 2051, 2151, 2051, 1037, 15653, 6238, 10887, 2735, 2041, 2000, 2022, 13418, 2000, 2131, 9436, 1997, 1996, 11669, 1012, 3528, 1997, 2658, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 2578, 2800, 1999, 1996, 3327, 2191, 2115, 4708, 2172, 6082, 2004, 4102, 2000, 3517, 1012, 2027, 2097, 2552, 2004, 2019, 3733, 5009, 2000, 1996, 3083, 2051, 6304, 1999, 10549, 1996, 2157, 7451, 15653, 6238, 2004, 2566, 2037, 3327, 28749, 5918, 1012, 2027, 2130, 4425, 1037, 3154, 11594, 2055, 1996, 2785, 1997, 11669, 2247, 2007, 3815, 1997, 13044, 2008, 2064, 2022, 4711, 2046, 1996, 13044, 15653, 6238, 1012, 2004, 1037, 14286, 3625, 2711, 1010, 4363, 1996, 4044, 10796, 2489, 1997, 3715, 2003, 2467, 9010, 2426, 3924, 3188, 14422, 1012, 2017, 2342, 2000, 2202, 2039, 1996, 5368, 8304, 1996, 5466, 2185, 13148, 2302, 7386, 2075, 1996, 4044, 1012, 2021, 1996, 3291, 2007, 2023, 12022, 14890, 2003, 2000, 3443, 2115, 2200, 2219, 2686, 1999, 2344, 2000, 15653, 2503, 5949, 1012, 2017, 1005, 2222, 2424, 2367, 3971, 1997, 8304, 1996, 5466, 2185, 1010, 2017, 2064, 2593, 9991, 2039, 2035, 1996, 5490, 13860, 4063, 2075, 1997, 4219, 1999, 2070, 2181, 2012, 1996, 2067, 1997, 1996, 2160, 2030, 3006, 2635, 1997, 2607, 2008, 2009, 4150, 8342, 2125, 2006, 2049, 2219, 1012, 2021, 2008, 2071, 2025, 2022, 1037, 2157, 15046, 2004, 2108, 1037, 14286, 20090, 6926, 1012, 1996, 21304, 2126, 2041, 2005, 1996, 3291, 2003, 1999, 2344, 2000, 9278, 1037, 15653, 6238, 2000, 9585, 2017, 2000, 4089, 4139, 5833, 2070, 2686, 1999, 2344, 2000, 15653, 2503, 5949, 1012, 2009, 2003, 2825, 2000, 7276, 1996, 2449, 2379, 2115, 2160, 2005, 5770, 1998, 6595, 2185, 2013, 2152, 5023, 5366, 2029, 1996, 2194, 2089, 4298, 3715, 4953, 4012, 28120, 2075, 1012, 2122, 3316, 8145, 1996, 11669, 2013, 2115, 2181, 1998, 2188, 1996, 2168, 2030, 2130, 28667, 2100, 14321, 2008, 1012, 2007, 2151, 2785, 1997, 2350, 2030, 2130, 9428, 25198, 2622, 2030, 2130, 3125, 1010, 2191, 2469, 2017, 2202, 3336, 4084, 1012, 3338, 5167, 2091, 2004, 2172, 2004, 2027, 2064, 2022, 1012, 2362, 2007, 4895, 20464, 26878, 2075, 2115, 2188, 1010, 2017, 2024, 2583, 2000, 3338, 1996, 2160, 2046, 18390, 1010, 2059, 1999, 2000, 2752, 1997, 1996, 4193, 1012, 2672, 2069, 10797, 4426, 2761, 2000, 2702, 8117, 1005, 1055, 1997, 11381, 11669, 2247, 2007, 6886, 2008, 2185, 1012, 2275, 1037, 5119, 1012, 2065, 2017, 2215, 2000, 4685, 2936, 2084, 1999, 2029, 1010, 2175, 2019, 3265, 999, 2156, 2129, 1037, 2843, 2017, 2064, 2079, 2169, 1998, 2296, 2210, 2775, 3357, 1012, 2044, 1037, 2096, 1010, 1996, 2210, 5167, 5587, 2039, 1999, 1037, 4121, 4118, 1012, 14743, 1010, 5193, 1010, 13148, 17874, 2035, 2122, 5704, 7336, 2312, 3465, 2043, 11925, 10329, 2138, 2810, 7350, 7336, 2312, 5949, 15106, 1012, 1037, 11519, 4118, 1997, 4487, 13102, 18606, 2107, 1037, 5294, 5466, 2185, 2003, 2224, 2658, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 2326, 10802, 2040, 2064, 3622, 2017, 2875, 7678, 1996, 2147, 2038, 25016, 2489, 1012, 1996, 2117, 3114, 1037, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 2089, 2022, 4072, 2052, 2022, 1996, 3815, 1997, 5466, 2185, 2017, 2097, 2022, 4526, 1010, 4412, 2075, 1037, 3991, 2188, 2064, 5323, 2039, 2000, 1023, 6197, 1997, 5949, 2011, 4426, 1012, 4318, 9628, 1010, 3080, 7390, 1010, 2247, 2007, 12277, 17125, 5678, 17042, 2172, 2062, 1999, 1037, 2177, 3168, 2004, 4102, 2000, 2087, 2071, 2903, 1012, 2023, 3563, 10228, 27031, 2097, 2788, 13467, 1996, 6537, 1997, 3180, 3074, 1012, 15653, 6238, 12635, 9883, 2024, 16269, 2084, 3130, 1998, 2064, 2022, 2716, 2000, 1996, 3105, 4037, 1998, 4046, 2004, 2092, 1012, 2122, 1018, 3787, 2894, 2393, 2009, 2468, 10915, 2005, 1996, 3484, 1997, 2622, 10489, 2000, 13265, 5466, 2185, 2968, 1999, 2037, 3488, 2012, 1996, 2927, 1012, 17693, 2000, 2202, 2895, 2003, 1037, 9135, 2116, 2188, 12384, 2545, 2079, 2025, 4299, 2000, 2131, 1012, 15653, 6238, 12635, 2015, 2191, 14000, 2247, 2007, 2038, 25016, 2521, 2013, 7149, 2007, 2536, 14245, 2247, 2007, 3423, 6447, 6827, 2007, 2312, 13148, 2015, 1012, 7297, 1010, 2383, 15653, 15608, 2651, 2108, 2061, 3432, 5359, 2247, 2007, 3718, 1010, 2023, 2003, 3497, 1996, 2560, 6450, 2126, 2000, 6366, 5167, 2083, 2115, 2000, 2079, 2862, 1012, 2087, 15653, 6238, 3182, 2941, 3749, 2000, 2393, 6366, 3688, 2013, 1996, 2147, 2173, 2005, 2019, 4469, 7909, 1012, 5834, 2006, 1996, 2828, 1997, 5949, 2003, 2108, 2580, 2011, 1996, 2622, 2070, 4411, 2089, 2130, 4425, 2000, 2202, 2008, 2005, 2489, 1012, 2023, 2428, 2003, 6179, 2247, 2007, 16691, 2008, 1037, 2309, 2158, 1005, 1055, 13044, 2003, 5121, 2178, 2711, 1005, 1055, 8813, 1012, 3243, 1037, 2261, 2810, 11107, 2079, 2025, 2224, 2122, 2578, 1998, 6855, 14170, 2039, 2503, 2417, 6823, 2138, 2009, 2003, 1012, 1996, 6666, 1997, 2478, 1037, 2334, 9278, 1037, 2184, 4220, 15653, 6238, 1999, 6890, 2449, 2024, 2350, 1012, 1996, 2087, 5793, 3465, 2003, 1996, 13148, 7408, 2029, 2411, 2064, 8137, 7167, 5834, 2006, 2073, 2011, 2027, 2202, 1996, 13044, 1998, 3251, 2009, 4150, 22207, 18971, 1012, 1037, 3737, 3029, 2097, 2424, 7300, 2000, 2562, 1996, 13148, 9883, 2091, 1012, 2022, 2009, 17738, 26477, 2115, 2188, 2030, 15696, 1037, 2178, 2028, 1010, 2009, 2003, 7543, 2183, 2000, 2191, 2115, 2166, 6082, 2323, 2017, 10887, 1037, 2194, 2000, 6509, 2017, 2000, 2007, 1996, 18015, 1012, 2129, 2064, 2107, 1037, 2326, 2022, 2649, 2004, 1037, 2051, 1998, 3947, 7494, 2801, 1029, 4638, 2041, 1999, 2023, 3720, 1012, 2017, 2064, 2079, 1996, 16125, 12699, 1010, 2147, 2173, 5949, 27764, 2099, 1998, 2172, 2062, 2006, 2023, 2326, 1012, 2478, 13148, 29132, 8026, 1998, 15653, 6238, 2007, 9278, 2085, 2017, 2064, 3857, 2115, 3105, 3378, 2007, 4363, 1996, 3200, 2030, 16165, 4550, 6082, 1012, 15653, 6238, 12635, 2015, 2802, 2899, 5887, 2024, 6827, 2005, 2087, 2160, 3934, 1012, 1996, 3484, 1997, 27686, 2030, 2128, 5302, 9247, 2075, 14799, 13467, 2115, 2103, 1005, 1055, 11669, 15373, 12546, 1012, 2017, 2064, 9278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2393, 2017, 3275, 2041, 2115, 15653, 6238, 12635, 3791, 1012, 2256, 15653, 15608, 2788, 2175, 2041, 2168, 1011, 2154, 2030, 2279, 1011, 2154, 5834, 2006, 2043, 2017, 2655, 1012, 2057, 3073, 2327, 1011, 18624, 2326, 1010, 2096, 2183, 3733, 2006, 2115, 3953, 2240, 1012, 2054, 2062, 2071, 2017, 3198, 2005, 1029, 2256, 4738, 9224, 2024, 2182, 2000, 2507, 2017, 1037, 3435, 1998, 2038, 25016, 1011, 2489, 3325, 2013, 2707, 2000, 3926, 1012, 2320, 2017, 2024, 2589, 1010, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2131, 2115, 15653, 6238, 3856, 2039, 2157, 2185, 999, 2256, 3095, 2003, 2182, 2000, 2393, 7188, 2017, 2342, 2009, 1012, 3432, 4060, 2039, 1996, 3042, 1998, 2507, 2149, 1037, 2655, 1012, 2087, 4446, 2103, 15653, 6238, 12635, 3316, 2097, 2202, 2729, 1997, 12329, 2023, 9146, 2005, 2017, 2065, 2017, 9278, 2013, 2068, 1012, 2191, 2469, 2008, 2065, 2017, 1521, 2128, 4041, 2000, 2404, 1996, 15653, 6238, 2006, 1996, 2395, 1010, 1996, 2194, 2038, 2081, 1996, 6413, 7565, 1012, 2017, 2323, 2036, 5676, 2008, 2017, 2131, 1996, 9146, 1999, 1037, 23259, 5450, 1998, 2012, 1996, 6149, 3465, 1012, 2065, 2017, 2245, 1996, 15653, 6238, 2194, 2001, 2893, 1037, 9146, 1998, 2027, 2106, 2025, 1010, 2017, 2097, 2022, 1996, 2028, 2040, 2097, 2031, 2000, 3477, 1996, 2986, 2008, 2003, 3843, 2011, 1996, 4614, 1012, 2027, 3749, 2017, 1996, 2190, 4118, 2000, 27764, 4795, 5072, 1998, 5949, 4475, 2485, 2011, 1996, 2810, 4773, 1011, 4573, 1012, 2122, 3316, 7297, 2393, 2017, 1999, 2893, 9436, 1997, 11809, 2195, 3134, 1010, 4795, 12760, 1998, 2060, 2512, 1011, 28667, 2100, 20464, 3085, 5490, 13860, 4063, 2013, 1996, 2188, 2181, 1998, 2049, 3327, 5101, 1012, 2011, 2725, 2023, 1010, 2017, 2064, 4089, 5441, 2115, 4044, 3243, 15708, 1998, 4550, 1012, 2017, 2089, 5454, 2028, 15653, 6238, 2005, 2035, 1997, 2115, 12635, 3791, 1012, 1996, 2307, 2518, 2055, 2023, 2003, 2008, 2017, 2079, 2025, 2031, 2000, 2981, 1996, 5167, 1010, 3251, 2009, 2003, 3221, 1010, 12392, 1010, 3536, 1010, 1998, 2036, 4318, 9628, 1012, 2006, 1996, 2060, 2192, 1010, 2022, 5204, 1997, 2115, 10246, 2015, 7040, 2138, 2045, 2024, 2070, 2008, 2097, 21573, 1996, 3815, 1998, 4127, 5994, 11669, 2008, 2071, 2022, 14019, 1012, 2045, 2024, 2130, 2070, 2008, 5478, 4524, 4726, 5994, 11669, 2229, 1998, 14443, 1996, 28667, 2100, 20464, 3085, 2015, 1012, 5121, 1010, 2009, 2003, 19059, 2000, 2224, 2810, 13044, 15653, 6238, 2005, 9278, 1999, 4446, 2103, 1010, 17371, 2144, 2017, 2079, 2025, 2342, 2000, 4524, 2115, 11669, 2229, 2030, 2130, 2981, 1996, 28667, 2100, 20464, 3085, 2015, 1012, 9592, 2024, 2017, 1005, 2222, 2219, 25805, 12635, 2015, 1999, 24889, 1010, 3448, 1010, 2030, 2130, 2899, 5887, 1998, 2017, 2097, 2215, 2000, 26944, 26203, 2279, 2154, 15653, 15608, 2000, 9278, 1012, 20868, 6072, 5051, 15277, 1997, 2073, 1999, 1996, 2088, 2115, 2188, 2003, 1037, 15653, 6238, 2064, 2393, 2017, 2562, 2115, 4708, 3048, 1012, 2057, 2035, 2031, 2042, 17730, 2000, 2893, 2256, 3115, 11669, 2041, 1998, 2055, 2005, 2320, 1037, 2733, 15373, 1010, 2029, 2788, 2573, 3100, 1012, 2174, 1010, 5681, 1010, 2017, 2342, 2000, 2131, 5547, 3056, 2477, 2030, 9625, 1997, 29132, 2008, 2024, 2025, 6413, 2005, 1996, 3180, 18015, 1012, 1999, 2122, 8146, 1010, 2028, 1997, 1996, 25551, 7047, 2052, 2022, 2000, 9278, 1037, 15653, 6238, 2061, 2008, 2017, 2064, 5466, 2041, 2054, 2017, 2323, 1010, 2043, 2017, 2342, 2000, 1012, 3251, 2017, 2342, 2000, 2131, 9436, 1997, 9309, 3081, 1037, 29132, 23113, 2828, 4550, 2041, 1010, 2030, 2842, 2017, 2342, 1037, 10539, 5724, 2005, 3974, 2312, 2030, 2130, 4895, 9148, 14273, 2100, 2477, 1010, 15653, 15608, 3073, 4241, 2527, 8553, 1010, 16991, 1010, 1998, 15258, 2005, 2035, 1997, 2115, 11669, 4122, 1012, 1996, 2034, 2518, 2017, 2071, 2079, 2003, 5646, 2054, 2828, 2017, 2097, 2342, 1012, 2023, 3701, 7336, 12515, 1996, 2946, 2004, 2017, 2031, 2111, 2008, 2024, 2004, 2235, 2004, 1019, 10168, 2015, 2035, 1996, 2126, 2000, 2312, 3429, 4220, 7957, 1012, 2069, 2017, 2113, 1996, 3815, 1997, 5949, 2017, 2089, 2031, 1998, 2054, 9812, 2017, 2097, 2342, 1012, 2009, 1005, 1055, 1997, 2607, 2488, 2000, 2058, 4355, 21499, 2084, 2104, 10175, 5657, 1012, 3649, 2449, 2017, 5630, 2000, 2175, 2247, 2007, 1010, 2191, 2469, 2045, 2003, 5121, 2070, 2828, 1997, 4872, 2006, 2037, 5375, 1012, 2023, 2071, 2022, 1037, 2047, 2769, 2067, 11302, 7188, 2027, 2123, 1005, 1056, 8116, 2030, 6807, 2051, 2030, 2130, 2009, 2071, 2022, 1037, 2022, 3056, 2008, 1996, 15653, 6238, 2019, 3265, 3641, 2097, 2907, 1037, 3056, 3815, 1997, 18015, 1012, 1996, 2190, 5375, 3206, 2097, 11506, 1996, 2119, 1997, 2122, 6459, 1012, 4638, 2007, 1037, 3840, 4387, 2055, 2009, 1998, 2191, 2469, 10943, 3111, 2024, 11479, 2041, 1999, 1996, 5375, 3820, 1012, 2362, 2007, 1996, 15106, 1997, 1037, 2047, 15653, 6238, 2326, 2029, 3310, 2157, 2000, 2115, 26581, 1010, 2115, 2188, 2097, 2298, 2488, 2084, 2027, 2031, 1999, 2086, 1012, 6600, 1996, 12637, 1997, 1037, 4550, 1010, 4895, 20464, 23128, 3200, 2175, 2092, 2627, 8210, 2298, 2894, 1012, 8161, 2035, 1997, 2008, 9987, 6752, 2083, 2115, 4044, 2064, 2941, 2393, 2000, 4425, 2017, 2007, 1037, 3110, 1997, 9379, 1012, 2025, 2069, 2097, 2017, 11027, 2154, 1011, 2000, 1011, 2154, 6911, 3798, 1010, 2174, 2017, 1005, 2222, 20634, 3154, 1997, 1996, 2740, 22010, 1998, 20739, 2685, 2008, 2064, 5258, 2013, 4470, 2319, 11301, 1012, 2043, 2017, 5309, 1996, 4475, 2000, 2131, 2115, 2417, 8586, 6525, 3436, 2318, 2006, 2115, 6652, 2188, 1010, 2562, 5466, 2185, 1996, 2116, 8378, 1010, 6081, 1011, 2828, 10236, 1010, 3638, 17952, 1010, 4385, 1012, 1010, 2503, 1996, 15653, 6238, 2017, 2031, 17414, 2000, 2128, 5302, 9247, 2115, 6652, 2188, 1012, 2043, 10549, 1996, 15653, 6238, 2194, 2005, 2017, 2000, 9278, 2013, 1010, 2191, 2469, 2027, 3749, 2477, 2000, 2298, 2005, 1012, 2065, 2017, 2342, 1037, 15653, 6238, 1996, 2200, 2279, 2154, 1010, 1996, 2194, 2442, 2022, 2583, 2000, 3932, 1996, 8996, 1012, 2672, 2017, 2024, 5815, 1037, 5723, 3031, 2115, 2188, 2030, 2436, 1012, 2017, 2097, 2036, 2342, 2000, 9278, 1037, 15653, 6238, 2000, 2907, 1996, 15582, 2770, 2006, 2051, 1998, 2302, 3471, 1012, 2017, 2097, 2087, 3497, 2069, 2342, 2000, 9278, 1037, 9233, 15653, 6238, 2005, 2023, 4708, 2004, 2009, 2907, 2039, 2000, 1016, 6197, 1012, 2017, 2089, 2092, 2022, 2039, 16616, 1037, 7198, 2282, 1999, 2115, 3824, 2188, 1012, 9278, 1996, 15653, 6238, 2000, 4530, 2041, 1037, 10036, 2723, 2075, 1010, 3158, 6447, 2004, 2092, 2004, 6457, 25222, 8613, 1012, 2017, 2097, 2022, 3407, 2008, 2045, 2003, 1037, 15653, 6238, 12524, 2004, 2017, 2030, 2115, 13666, 2064, 6880, 5466, 2035, 1996, 2502, 6497, 2041, 2004, 4941, 2000, 4440, 4691, 2046, 2009, 2030, 15021, 2009, 2006, 2115, 10168, 1998, 2437, 2028, 2312, 6752, 1012, 2060, 2111, 2079, 2025, 2215, 2000, 2707, 2000, 2156, 1996, 6752, 2005, 1037, 3232, 3134, 2096, 2017, 2024, 2128, 5302, 9247, 2075, 2115, 3200, 1012, 7573, 2003, 2763, 1996, 2087, 10357, 2752, 2306, 2074, 5169, 2247, 2007, 2313, 8480, 1996, 3277, 4953, 15653, 5466, 2185, 1998, 6516, 2049, 3074, 2247, 2007, 5193, 2005, 2017, 2000, 15653, 4573, 4150, 2566, 10196, 3372, 1012, 3316, 2004, 2092, 2004, 2111, 2342, 1996, 3316, 1997, 15653, 6238, 11578, 1998, 2122, 11578, 2064, 2022, 12019, 2006, 3563, 2030, 5971, 3978, 1012, 15653, 6238, 29597, 2008, 2024, 7246, 6485, 2024, 12530, 3085, 1010, 3653, 1011, 12238, 2247, 2007, 16286, 21125, 1012, 1996, 2578, 2024, 3024, 2011, 2965, 1997, 2593, 4211, 7170, 13044, 15653, 6238, 2005, 9278, 1999, 4446, 2103, 11578, 2030, 2693, 2125, 11661, 12635, 2015, 1012, 1996, 3327, 12635, 2015, 2788, 2024, 2109, 2005, 3200, 15576, 1010, 8102, 4550, 21100, 2247, 2007, 4318, 12823, 2813, 3934, 1012, 1996, 2334, 13044, 15653, 6238, 2005, 9278, 1999, 4446, 2103, 2015, 2031, 1996, 3466, 1997, 7176, 5381, 1998, 3316, 2005, 2017, 2000, 15653, 5466, 2185, 3074, 2247, 2007, 3665, 6736, 1012, 2296, 4708, 2003, 2081, 2172, 6082, 1998, 6082, 2247, 2007, 4248, 11669, 8208, 1012, 22210, 2083, 1996, 8328, 2247, 2007, 9268, 6151, 2229, 7895, 3468, 3714, 5733, 2107, 2004, 3025, 26008, 2015, 1998, 23348, 2015, 2064, 2022, 2589, 12128, 2302, 2383, 2000, 9991, 1996, 11669, 2011, 1996, 2346, 2247, 2007, 3246, 2008, 2023, 2334, 11669, 15373, 5942, 1996, 2972, 9991, 1012, 2017, 2064, 6723, 1996, 3984, 6198, 2013, 9344, 2041, 1996, 7381, 1010, 8102, 1010, 2030, 2131, 9436, 1997, 2011, 15349, 1996, 4792, 2000, 2224, 3518, 11669, 4060, 1011, 2039, 1012, 2810, 3934, 2024, 2036, 2825, 2004, 2028, 15653, 6238, 2024, 2881, 2005, 2214, 3829, 22449, 1010, 4318, 9628, 1010, 2717, 2282, 17407, 1010, 8552, 3384, 2247, 2007, 3714, 4511, 3221, 1012, 21934, 28250, 2115, 3200, 3934, 2011, 2965, 1997, 4214, 2004, 2092, 2004, 13063, 2006, 1996, 4274, 1037, 5374, 13044, 15653, 6238, 2005, 9278, 1999, 4446, 2103, 1012, 2115, 5211, 4150, 2000, 2022, 1996, 2200, 2190, 2043, 2009, 2071, 2131, 1996, 2157, 4031, 1012, 2043, 2057, 2831, 2055, 1996, 11669, 19258, 1010, 3904, 2060, 2084, 13044, 15653, 6238, 2005, 9278, 1999, 4446, 2103, 2071, 2022, 1996, 2157, 1999, 4338, 1010, 2182, 2024, 1996, 4436, 1996, 3114, 1029, 15653, 6238, 12635, 2005, 11669, 13148, 2064, 2562, 2017, 2041, 1997, 1996, 14203, 5473, 2008, 2003, 5845, 1999, 6886, 1996, 11669, 1012, 2017, 2097, 2025, 2681, 1996, 5697, 11376, 2015, 1998, 3604, 2000, 2178, 2173, 2000, 15653, 1996, 13044, 1012, 13367, 2025, 2069, 3911, 6600, 7167, 1997, 5971, 1998, 2797, 11578, 2191, 2224, 1997, 2122, 2578, 1012, 2009, 2428, 2003, 2035, 2055, 7216, 1012, 2061, 2022, 2009, 13044, 2013, 2115, 2160, 8745, 2030, 2147, 2173, 2968, 1010, 2069, 9483, 1998, 2424, 2041, 1996, 13044, 2183, 2185, 3309, 2019, 17338, 1011, 5379, 3921, 1012, 1996, 2518, 2003, 1010, 25136, 2075, 3934, 2191, 11669, 1012, 3365, 11669, 1012, 2017, 2089, 2031, 29022, 4281, 1010, 3714, 7123, 16901, 1998, 1996, 5377, 26285, 1997, 10733, 2015, 8378, 2247, 2007, 3714, 7390, 1012, 2065, 2017, 2872, 2035, 2008, 2503, 1037, 15373, 4744, 2052, 5121, 2022, 2770, 2005, 2017, 2000, 15653, 2093, 2030, 2176, 2335, 2566, 2154, 1012, 2008, 1005, 1055, 3100, 1999, 3399, 1010, 2021, 2043, 2017, 1005, 2128, 2551, 2115, 3200, 8377, 2035, 2105, 2115, 2783, 2147, 6134, 1998, 2296, 3371, 9294, 6927, 3917, 4558, 2195, 2847, 1997, 2051, 11920, 2115, 11669, 2105, 1012, 1996, 3840, 2017, 2147, 2007, 3791, 2000, 2022, 5379, 2004, 2092, 2004, 14044, 1012, 1996, 3840, 2064, 2393, 2017, 7276, 2029, 2946, 15653, 6238, 2000, 2393, 9278, 1012, 2017, 2323, 2022, 3253, 1037, 2235, 1010, 3149, 2030, 6937, 15653, 6238, 2000, 9278, 1012, 2017, 2097, 2025, 2215, 2000, 3477, 2205, 2172, 2478, 1037, 6937, 15653, 6238, 2043, 2017, 2074, 2734, 1037, 4714, 2030, 3149, 15653, 6238, 1012, 2065, 2017, 2031, 3278, 8310, 1997, 3688, 1999, 2035, 1997, 2115, 2648, 3121, 2004, 2092, 2004, 25684, 1010, 2017, 2089, 2342, 2062, 2084, 2028, 15653, 6238, 1012, 1996, 2312, 15653, 6238, 2907, 2176, 15665, 2030, 2274, 15373, 4744, 7564, 1997, 13044, 1998, 1013, 2030, 6497, 1012, 2043, 2017, 2202, 2729, 1997, 4121, 3934, 2066, 3252, 1010, 2160, 2128, 5302, 12662, 2075, 2030, 2665, 4220, 4550, 1011, 2039, 1010, 2009, 2003, 4072, 2800, 2005, 2017, 2202, 2393, 2013, 2658, 2000, 4685, 1996, 2622, 5147, 1012, 2111, 3531, 2202, 1037, 2349, 5454, 2000, 3143, 1996, 2147, 2006, 2051, 1010, 2174, 2027, 19046, 2695, 3314, 1997, 1996, 2147, 2107, 2004, 5949, 23113, 1012, 2017, 2024, 2055, 2000, 9699, 4121, 6197, 1997, 5949, 2006, 5131, 1996, 2622, 1012, 1037, 2307, 3066, 1997, 11669, 14830, 2005, 2146, 2558, 1997, 2051, 2052, 3426, 2843, 3243, 1037, 2261, 3471, 2164, 4786, 8554, 20807, 1996, 4044, 1010, 9359, 9105, 7870, 1010, 2542, 1999, 2489, 2686, 1999, 2115, 3068, 1010, 17666, 7999, 1996, 3623, 1997, 2115, 5678, 3934, 4385, 1012, 8430, 1037, 2613, 4121, 5949, 2006, 2079, 2009, 4426, 8563, 1996, 3484, 1997, 2115, 2051, 1998, 2036, 3791, 4121, 5211, 1999, 12362, 2000, 3665, 2004, 2092, 2004, 4450, 1012, 5815, 11669, 2005, 2558, 1997, 2051, 2089, 2092, 5466, 1037, 2711, 1999, 18162, 13460, 1012, 2009, 18675, 7750, 2013, 2017, 2005, 2108, 1037, 3120, 3832, 2005, 11717, 8554, 20807, 1996, 4044, 1012, 2043, 3919, 11105, 2024, 2920, 1999, 1037, 2613, 4121, 4708, 1997, 5278, 2115, 5949, 2046, 22207, 5167, 1010, 2017, 2097, 2215, 2000, 3745, 2012, 2115, 3247, 1999, 25553, 1996, 15169, 1997, 1996, 2088, 1029, 2017, 2064, 5165, 4426, 2005, 5094, 1996, 3919, 11105, 2000, 3362, 2037, 2219, 3125, 2026, 18591, 1998, 1045, 1012, 1041, 1012, 3352, 4372, 21663, 8462, 15758, 2135, 5379, 1012, 2035, 2017, 2031, 2000, 2079, 2003, 2017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2036, 2000, 2689, 2026, 2197, 8816, 25262, 1010, 2131, 12669, 1998, 2035, 4558, 2026, 2706, 9530, 8159, 2075, 2296, 5411, 11562, 1999, 2885, 1012, 1045, 2272, 2054, 8209, 2000, 11044, 1029, 3283, 3647, 2000, 2599, 11229, 2075, 8186, 1012, 16528, 1025, 2127, 1996, 7345, 1011, 2946, 8816, 25262, 9084, 3121, 7860, 2702, 5282, 2153, 2029, 14021, 5596, 1996, 16492, 21733, 4875, 2059, 1012, 5678, 2036, 2016, 2001, 23489, 1010, 2007, 1037, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 1997, 14513, 2013, 2033, 1012, 16852, 21305, 8816, 25262, 9084, 3121, 5461, 2323, 14255, 10270, 2121, 12308, 1999, 2625, 2034, 1010, 3424, 11636, 8524, 3372, 23161, 1012, 2175, 2307, 5852, 1012, 3191, 3418, 8816, 25262, 4784, 1010, 2065, 2151, 1012, 2292, 5509, 2372, 2005, 9255, 1998, 8141, 1012, 16755, 1037, 8816, 2000, 3073, 29271, 8627, 1037, 5470, 3694, 2097, 8145, 10849, 2012, 1996, 6887, 1012, 1045, 2024, 23060, 8524, 6024, 8816, 25262, 9084, 1998, 1045, 4933, 2000, 9015, 2065, 1045, 2064, 2812, 2076, 1996, 2358, 27651, 1997, 14115, 17516, 2078, 1012, 2008, 2003, 1037, 3568, 5204, 8816, 25262, 999, 1045, 4682, 2200, 1037, 8816, 25262, 1010, 2021, 1045, 2024, 3082, 2006, 8224, 1025, 1007, 1010, 2085, 1045, 2985, 2070, 2166, 1999, 4699, 2086, 1012, 8816, 25262, 4468, 2028, 2005, 6638, 6544, 1010, 2021, 1045, 3651, 3443, 2028, 2005, 5059, 2065, 2017, 2031, 2171, 1012, 1996, 2506, 8816, 25262, 9084, 1045, 2424, 3084, 1996, 1056, 1997, 12040, 3436, 2061, 2632, 28613, 2638, 5257, 2247, 2941, 1010, 2004, 2023, 2064, 2467, 2444, 5190, 4788, 1012, 8904, 5735, 2003, 1037, 8816, 25262, 1999, 3331, 7812, 2482, 5092, 10536, 7265, 4570, 2008, 2024, 2665, 3635, 1998, 4200, 1998, 2003, 4704, 2007, 5445, 1997, 18443, 2086, 2000, 9495, 2051, 1998, 3886, 2046, 1996, 7929, 2051, 1010, 2008, 2025, 2787, 1010, 5576, 1006, 28939, 2595, 1025, 9297, 2000, 4553, 1996, 1020, 2128, 7583, 3111, 1997, 25353, 27718, 5358, 1012, 1037, 8816, 25262, 2097, 7078, 2022, 2007, 2019, 2235, 1005, 6034, 1055, 3630, 18153, 2063, 1011, 29290, 1005, 4961, 2012, 3770, 1011, 2531, 2025, 1997, 1037, 19101, 2531, 1010, 2029, 26944, 2015, 3811, 27885, 8583, 12742, 1012, 1996, 8816, 25262, 9084, 3121, 7860, 1998, 2697, 2003, 1996, 2154, 1997, 2035, 8461, 4297, 2239, 3401, 11444, 3468, 7852, 1006, 1043, 2532, 9328, 2088, 1010, 4748, 1010, 2568, 1998, 2051, 1007, 1010, 2029, 2065, 2969, 1011, 6758, 2779, 5346, 2204, 8738, 2058, 11460, 2306, 1996, 2197, 8560, 1010, 10523, 2000, 5309, 1998, 1996, 4049, 1997, 1996, 1020, 27628, 2015, 1997, 17338, 28393, 1012, 7495, 1037, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2000, 3945, 2023, 19101, 14266, 2923, 5320, 2034, 2000, 6638, 2013, 3221, 1012, 8816, 25262, 9084, 3121, 19328, 2024, 1037, 22259, 10373, 2000, 4237, 2022, 2115, 7954, 1012, 2418, 4150, 1996, 6357, 1997, 1996, 2543, 6708, 1006, 27681, 1007, 1010, 1996, 24400, 10760, 2047, 3074, 20323, 2006, 2254, 2654, 1010, 2418, 1012, 6708, 2003, 1037, 2330, 1010, 2825, 1010, 1998, 4039, 8816, 25262, 9084, 3121, 7860, 1012, 2054, 2065, 2017, 2071, 22149, 1996, 3819, 12763, 1998, 3345, 1996, 2560, 2235, 5530, 2000, 2022, 2017, 16221, 1010, 14708, 1998, 17053, 2015, 1029, 9346, 7819, 24862, 2015, 2009, 2064, 5454, 2179, 2007, 8816, 25262, 9084, 3121, 7860, 8030, 1012, 1996, 2565, 6433, 2053, 2241, 2007, 2154, 1010, 2196, 2023, 2442, 2228, 9955, 2012, 1996, 2204, 2668, 1012, 2009, 2061, 2758, 2066, 2002, 3138, 2019, 6659, 8816, 25262, 9084, 1010, 2029, 2003, 1037, 2146, 2843, 2005, 2149, 3080, 2086, 1012, 3229, 5091, 1037, 8141, 5605, 1010, 2021, 10502, 2007, 2010, 9440, 20192, 24658, 2100, 2000, 3191, 2054, 2064, 22149, 2443, 1012, 5879, 21877, 1010, 8997, 1046, 2102, 1025, 17663, 1040, 1998, 5648, 8816, 25262, 9084, 1012, 11721, 14141, 11514, 10450, 18315, 1010, 13970, 4360, 13186, 2063, 1054, 1010, 27303, 1054, 1010, 3802, 2632, 1025, 17663, 1040, 8816, 25262, 9084, 3121, 1024, 2019, 5938, 9740, 1999, 2394, 10015, 13443, 1012, 5292, 2319, 1047, 1010, 24665, 8913, 2638, 15985, 2094, 11113, 1010, 2139, 16216, 2271, 17850, 1010, 3802, 2632, 1025, 17663, 1040, 8816, 25262, 9084, 3121, 7860, 2004, 1037, 2300, 20010, 11636, 2005, 2299, 1010, 3229, 1998, 10628, 1999, 1996, 2069, 4187, 1024, 2460, 1011, 2973, 7584, 1998, 1004, 9108, 11823, 1012, 4319, 1998, 17261, 2015, 13146, 1025, 3078, 8816, 25262, 9084, 3121, 7860, 1998, 1040, 8738, 1999, 5919, 1012, 1996, 29217, 2006, 2087, 2058, 11179, 8816, 25262, 19233, 2204, 1997, 8466, 1010, 1050, 1005, 1056, 25654, 8292, 3917, 2100, 2001, 2000, 2009, 1010, 1998, 2003, 2039, 3269, 1011, 2241, 2477, 1012, 2017, 2025, 5959, 2061, 2156, 2000, 2468, 5026, 2151, 1997, 2122, 5648, 2063, 1005, 1010, 1005, 19610, 8649, 4135, 8428, 3673, 2003, 1996, 2157, 2186, 4623, 3872, 5782, 2000, 1996, 4456, 2058, 1037, 2433, 1997, 1017, 3798, 1012, 2023, 2097, 2131, 1999, 2524, 1005, 1010, 1005, 4553, 2055, 1996, 8816, 25262, 9084, 3121, 8778, 4955, 8833, 15776, 1997, 8915, 3995, 5572, 1025, 2009, 2153, 1005, 1055, 2166, 8738, 6763, 1998, 19328, 2272, 2007, 2828, 2462, 14671, 1012, 16798, 2575, 1005, 1010, 1005, 25860, 2003, 2740, 2440, 2954, 2059, 3303, 2004, 11799, 2171, 1012, 2676, 1025, 2060, 3212, 29278, 7652, 10760, 4799, 3681, 1997, 2563, 1012, 2712, 4040, 8197, 11657, 3719, 10760, 8350, 29544, 3719, 9628, 23298, 15406, 6155, 25509, 7361, 2813, 23298, 26760, 8095, 23298, 8816, 25262, 2111, 2005, 4049, 9440, 1012, 8816, 25262, 24511, 1024, 1037, 3167, 2873, 2005, 2488, 2740, 1029, 2021, 1050, 1005, 1056, 2012, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2005, 6583, 10258, 2094, 1029, 2129, 21794, 2079, 2482, 5910, 2000, 3635, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 1029, 2129, 6827, 2228, 12702, 12681, 2005, 2019, 6583, 10258, 2094, 1011, 13950, 2075, 8738, 1029, 1045, 2018, 8816, 1998, 20957, 15744, 2076, 5156, 2836, 1012, 2174, 4397, 3024, 19101, 2000, 3426, 2019, 8816, 25262, 9084, 3121, 7860, 1998, 27762, 2000, 4060, 2023, 7832, 19339, 9021, 19339, 9021, 1012, 2004, 1010, 2023, 8816, 25262, 9084, 3121, 1010, 1045, 3643, 14289, 16558, 13295, 2000, 2067, 5646, 1037, 12812, 999, 2061, 17609, 16392, 1010, 2008, 2003, 3769, 12264, 1998, 8816, 25262, 9084, 3121, 7860, 6090, 2229, 1012, 8816, 25262, 9084, 3121, 2003, 11853, 14682, 1999, 2115, 5684, 1012, 2893, 18856, 16814, 2100, 1999, 2115, 2186, 2097, 2131, 2017, 2000, 2832, 2035, 1996, 6401, 1997, 2256, 2801, 1012, 2402, 1010, 15828, 2417, 3877, 2402, 3217, 8296, 1051, 1012, 3191, 2019, 8816, 1997, 2023, 2504, 999, 1996, 2166, 9727, 2005, 3635, 19817, 2050, 1024, 27895, 2115, 2303, 6370, 1010, 4285, 2115, 7812, 3635, 2011, 2728, 1051, 1012, 5840, 1007, 1010, 2003, 2042, 2058, 2382, 1010, 2199, 3279, 14380, 2015, 2000, 2064, 2094, 1012, 6021, 1007, 2003, 2574, 2531, 1010, 2199, 10962, 1999, 8816, 25262, 9084, 3121, 7860, 2044, 2416, 1045, 1012, 2004, 1037, 24668, 8816, 1998, 10256, 6925, 10882, 24658, 1045, 2024, 2881, 2000, 4558, 1996, 22597, 1997, 3225, 2062, 14205, 9440, 1012, 1045, 4339, 2025, 1050, 1005, 1056, 2000, 3073, 2000, 2017, 1998, 4468, 2017, 2000, 2031, 2000, 2437, 1037, 2204, 8816, 25262, 9084, 3121, 7860, 1998, 1012, 1045, 1005, 2310, 2172, 2059, 1037, 19351, 6277, 8816, 25262, 9084, 2021, 1045, 3713, 2031, 1999, 5983, 2039, 2489, 2004, 3733, 1012, 1999, 2035, 8816, 25262, 9084, 3121, 7860, 1010, 2026, 14639, 7534, 2612, 3770, 2943, 2632, 28613, 2638, 2007, 2026, 11265, 14971, 6313, 2833, 2635, 2006, 2522, 1011, 4975, 1998, 2183, 2026, 3160, 2007, 1996, 2740, 10458, 6762, 2152, 1012, 2054, 2017, 1005, 2310, 2000, 6723, 2007, 1996, 24231, 3340, 1997, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2017, 1005, 2222, 2022, 1999, 2023, 8081, 2003, 3283, 2000, 2017, 1012, 2021, 2004, 1045, 2215, 1999, 1996, 8816, 2006, 11290, 1022, 1010, 2065, 2017, 2202, 2085, 2184, 3095, 1997, 1996, 3084, 1999, 2607, 2005, 2943, 1010, 2115, 4316, 1006, 1998, 2733, 1007, 2071, 2293, 2363, 1999, 1996, 2303, 1997, 1037, 13075, 4173, 1997, 3134, 999, 2097, 2360, 1998, 2873, 2019, 28675, 6993, 1012, 2023, 8816, 25262, 9084, 3121, 1010, 21720, 1011, 1999, 3239, 2007, 1996, 1022, 1011, 3329, 1011, 4206, 3023, 4066, 23968, 1011, 2003, 1996, 8361, 3778, 1997, 1037, 10634, 2030, 6895, 4955, 1010, 15932, 1010, 2019, 1005, 3056, 4137, 2518, 2734, 2000, 2214, 1010, 2440, 1998, 5458, 9787, 2055, 2338, 1005, 1012, 2009, 2038, 2146, 2107, 1998, 2205, 1037, 5746, 3155, 22259, 1011, 2066, 1996, 2365, 1997, 2689, 2017, 1005, 1040, 2393, 2039, 2012, 2019, 2095, 2832, 1012, 2058, 2049, 6919, 3798, 1010, 2500, 2013, 1996, 5156, 8816, 2292, 2007, 2216, 2040, 2298, 3092, 2037, 3193, 1999, 2833, 2381, 13704, 1012, 1996, 3497, 22559, 2013, 2019, 21873, 2126, 1997, 4172, 7867, 2011, 1996, 2107, 3976, 9325, 4172, 5982, 1010, 2295, 1037, 4079, 2849, 6590, 3351, 2518, 2008, 2003, 1996, 23624, 2278, 2395, 14512, 2015, 1998, 2417, 2980, 20238, 23582, 1010, 2000, 1037, 3671, 2051, 2011, 1996, 14044, 2193, 8282, 9004, 7946, 7033, 2055, 1996, 7792, 3930, 2008, 4240, 1023, 1010, 2199, 1011, 2675, 1011, 3329, 6074, 1012, 1045, 2200, 2001, 2000, 4254, 2039, 14712, 1005, 1055, 7440, 2012, 1996, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2096, 2725, 2198, 10514, 2290, 4181, 1005, 1055, 3056, 24786, 1000, 1997, 2010, 4317, 5912, 2617, 1012, 2087, 1997, 2026, 2261, 10514, 9468, 27581, 1006, 1998, 2009, 2001, 2196, 2025, 2182, 1007, 1997, 4754, 1051, 1005, 4422, 1005, 1055, 2451, 2001, 2081, 1998, 1050, 1005, 1056, 1999, 2712, 1012, 1045, 2529, 2135, 2179, 2000, 4521, 2039, 14712, 1005, 1055, 7440, 2012, 1996, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2096, 4852, 2198, 10514, 2290, 4181, 1005, 1055, 3325, 1997, 2010, 2204, 5912, 3707, 1012, 2087, 1997, 2026, 10124, 6553, 3979, 1006, 1998, 2009, 5031, 2784, 2763, 2085, 1007, 1997, 4754, 1051, 1005, 4422, 1005, 1055, 6922, 2179, 10570, 1998, 4919, 1999, 5699, 1012, 2004, 1037, 8816, 1010, 21434, 1998, 4699, 2107, 2088, 14912, 2572, 2000, 2022, 2200, 10076, 2084, 5791, 1012, 1999, 1037, 12486, 2100, 3737, 2013, 2262, 1010, 1996, 3688, 2179, 2008, 2087, 2382, 5424, 10466, 2218, 4117, 5109, 1010, 2066, 2216, 1997, 3429, 21794, 14380, 2015, 3174, 2000, 4228, 6963, 1050, 1005, 1056, 1012, 8816, 2003, 28667, 2239, 8159, 2098, 1999, 2256, 4167, 2043, 2057, 2024, 4456, 1012, 2043, 2196, 17928, 26005, 1011, 2096, 8816, 25262, 9084, 3121, 6083, 4906, 1010, 2256, 2978, 2003, 1998, 2025, 1010, 3397, 2062, 5560, 2083, 2256, 3867, 12183, 1010, 3352, 1996, 2754, 1997, 14266, 1012, 2009, 2003, 2467, 2005, 2210, 2008, 2115, 8816, 2003, 2823, 2691, 2065, 2017, 2342, 2009, 2307, 2000, 2632, 28613, 4371, 4426, 3356, 2044, 1037, 19471, 1012, 2044, 5983, 2023, 1010, 1045, 2179, 1996, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2018, 3374, 1010, 2000, 2022, 2062, 11339, 4409, 1012, 2028, 1997, 28490, 1005, 3471, 2004, 1037, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 19787, 2008, 2002, 2089, 2031, 3039, 1037, 2759, 2592, 2004, 10126, 1006, 2214, 2004, 1996, 6386, 1005, 20463, 1010, 8340, 2006, 2364, 2395, 1007, 1010, 2021, 2002, 2001, 3191, 2296, 2036, 1998, 3449, 2080, 15417, 2135, 2000, 11005, 2010, 3087, 1998, 3443, 29464, 2196, 2000, 2131, 2010, 5733, 2000, 4030, 2339, 1012, 4315, 18170, 7315, 2003, 1996, 4392, 2545, 1998, 3924, 1997, 28490, 1005, 8816, 1998, 4106, 1012, 2010, 2204, 8816, 25262, 1010, 2010, 2222, 1055, 3630, 18153, 2063, 1011, 29290, 1998, 9789, 2833, 1012, 2002, 1050, 1005, 1056, 2003, 28490, 2206, 1006, 1998, 2691, 8816, 25262, 9084, 3121, 7860, 2013, 1007, 1996, 5128, 7196, 2600, 8738, 2077, 2009, 2788, 2001, 1037, 6412, 1012, 1996, 8816, 8738, 2001, 20463, 3709, 2083, 21078, 1010, 7731, 2372, 1998, 1000, 2500, 1012, 3660, 2307, 2359, 1996, 12783, 1998, 3191, 1996, 2166, 21708, 2075, 2000, 1996, 3054, 1011, 2254, 2008, 2169, 4031, 2001, 1012, 1996, 5090, 2001, 2917, 19933, 2037, 8816, 25262, 9084, 3121, 7860, 2006, 1996, 6911, 1012, 3660, 2004, 2001, 2058, 1016, 1010, 2199, 3015, 29090, 2015, 1012, 1999, 8816, 2000, 6366, 1996, 7777, 1998, 3229, 1997, 1996, 2126, 1010, 3660, 3662, 2049, 3679, 19101, 8738, 9164, 1999, 8812, 1010, 6643, 2000, 2191, 2828, 1012, 1998, 3531, 2061, 4394, 18526, 999, 8816, 25262, 9084, 3121, 7860, 1998, 6043, 2127, 1996, 2911, 1997, 2281, 1012, 1045, 2298, 2000, 5788, 2070, 2632, 28613, 2638, 2493, 2011, 2823, 999, 1045, 2024, 4466, 7792, 2825, 19101, 8816, 25262, 9084, 3121, 7860, 1998, 1012, 26757, 4588, 8816, 25262, 9084, 3121, 7860, 2026, 3327, 3096, 2126, 2179, 2033, 1045, 2024, 3532, 2307, 3460, 2007, 2413, 5030, 1012, 1996, 17685, 3466, 1024, 2339, 2048, 4693, 2101, 1010, 2720, 1012, 17685, 2003, 2145, 1996, 2158, 1996, 2732, 2818, 5576, 2011, 2198, 1037, 1012, 2086, 2005, 5825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2058, 1996, 2197, 2048, 3134, 1010, 27838, 4183, 3351, 2923, 1024, 3048, 2830, 1010, 1996, 2353, 1999, 1037, 2186, 1997, 27660, 8754, 15693, 1010, 2038, 2042, 11326, 2105, 1996, 2088, 1010, 5421, 2011, 22707, 1997, 1996, 2061, 1011, 2170, 27838, 4183, 3351, 2923, 2929, 2046, 2062, 2084, 2382, 4155, 1012, 2045, 2020, 20583, 1999, 9204, 9149, 1998, 7571, 1010, 18354, 1998, 10093, 12724, 1010, 8955, 1998, 5522, 1010, 2426, 5606, 1997, 2060, 3655, 1012, 1999, 1996, 2142, 2163, 1010, 2009, 3662, 2012, 10271, 3185, 3506, 1010, 5230, 21785, 2015, 1010, 2270, 8860, 1010, 1998, 5534, 2013, 3023, 2000, 3023, 1010, 2164, 1037, 2274, 1011, 2154, 2448, 2012, 2047, 2259, 1521, 1055, 5917, 3540, 19039, 1012, 2055, 2382, 2111, 2357, 2041, 2005, 1037, 9317, 3944, 4760, 1999, 7128, 1012, 2044, 2108, 11188, 2011, 17300, 7314, 1999, 27838, 4183, 3351, 2923, 1056, 1011, 11344, 1998, 2445, 1996, 3382, 2000, 4060, 2039, 24752, 1998, 17178, 2015, 2055, 1996, 27838, 4183, 3351, 2923, 2929, 1517, 2030, 1056, 2480, 2213, 1010, 2004, 2049, 9353, 4747, 17250, 2015, 2655, 2009, 1517, 2027, 2938, 2083, 1037, 2048, 1011, 1998, 1011, 1037, 1011, 2431, 1011, 3178, 2143, 1010, 23554, 10424, 8625, 4588, 1998, 2061, 17822, 18513, 1010, 9990, 1996, 4072, 1998, 17566, 7859, 1997, 18730, 2241, 2006, 2769, 1010, 1996, 7117, 1997, 2035, 1996, 2088, 1521, 1055, 6114, 2015, 1012, 1996, 2143, 17678, 15689, 6340, 1996, 14053, 1997, 1037, 6020, 1523, 7692, 1011, 2241, 4610, 1010, 1524, 1999, 2029, 6567, 2055, 1996, 16169, 2015, 1997, 5350, 1998, 2578, 2097, 2022, 2081, 2011, 7588, 2489, 2013, 13593, 2075, 1523, 10740, 1012, 1524, 13507, 2097, 2079, 2087, 2273, 4818, 2147, 1010, 5622, 5677, 5844, 2111, 2005, 2062, 5541, 1010, 24464, 2594, 23719, 1010, 1998, 10660, 8144, 2097, 5676, 14531, 2005, 2035, 1012, 1996, 3185, 4515, 2007, 5019, 1997, 12783, 4969, 7505, 4726, 2046, 1996, 4534, 1998, 1010, 9301, 2008, 2769, 2003, 2021, 2019, 4372, 14540, 18891, 3070, 12492, 1010, 23642, 2037, 5356, 1999, 2307, 18526, 1999, 2392, 1997, 1996, 2085, 1011, 17727, 12184, 3372, 2430, 5085, 1012, 29350, 1010, 2069, 2028, 2711, 2939, 2041, 1012, 27838, 4183, 3351, 2923, 1024, 3048, 2830, 2003, 10021, 2438, 2008, 2012, 2335, 1045, 6878, 2009, 2001, 2035, 1037, 2404, 1011, 2006, 1010, 1037, 18230, 18312, 2055, 2047, 1011, 2287, 21416, 1011, 26425, 28113, 2612, 1997, 2019, 2742, 1997, 2009, 1012, 2021, 2000, 5606, 1997, 5190, 1997, 2111, 4969, 1010, 1996, 27838, 4183, 3351, 2923, 2929, 2003, 4498, 3809, 1012, 2012, 2335, 1010, 2009, 2130, 3849, 2066, 1996, 2088, 1521, 1055, 2034, 4274, 1011, 2241, 8754, 1010, 2007, 2372, 2040, 22530, 1996, 2283, 2240, 2007, 18350, 1010, 18672, 2063, 22625, 1012, 1999, 1037, 3042, 4512, 1010, 12895, 2239, 14925, 18954, 1010, 1037, 2280, 2266, 2013, 4940, 1010, 2649, 2129, 2010, 6624, 3013, 2032, 2125, 2013, 4507, 1012, 1523, 2009, 1521, 1055, 2200, 1010, 2200, 1010, 2200, 11163, 22248, 1010, 1524, 2758, 14925, 18954, 1010, 2040, 2001, 2112, 1997, 1996, 4806, 2136, 1999, 1996, 2929, 1521, 1055, 2660, 3589, 1012, 1523, 2017, 1521, 2128, 6628, 2000, 2785, 1997, 6164, 1996, 2613, 2088, 1012, 2045, 1521, 1055, 2785, 1997, 2023, 2149, 1011, 1998, 1011, 2068, 7729, 1012, 1524, 1037, 2261, 2420, 2101, 1010, 2002, 2741, 2033, 1037, 6254, 28667, 4630, 2075, 2087, 1997, 2010, 5571, 1998, 6815, 2008, 2010, 9755, 2007, 1996, 3029, 2018, 1999, 2755, 2042, 2010, 6346, 1012, 2023, 2106, 2025, 2191, 2009, 4025, 2625, 8754, 1011, 2066, 1012, 2045, 2024, 7167, 1997, 4326, 2477, 2055, 1996, 27838, 4183, 3351, 2923, 9575, 1010, 2021, 4326, 3367, 2003, 2129, 2009, 2288, 2318, 1012, 2009, 1521, 1055, 1037, 3795, 3029, 7422, 2000, 1037, 2785, 1997, 16596, 1011, 10882, 17700, 15523, 1010, 2021, 2009, 2001, 13977, 2011, 1037, 2289, 4516, 9561, 2098, 1999, 2521, 1011, 2157, 1010, 12477, 2923, 1010, 1998, 19813, 2135, 3424, 1011, 20604, 9714, 8106, 1012, 1996, 2034, 27838, 4183, 3351, 2923, 4516, 11780, 2013, 1996, 2147, 1997, 7327, 9153, 3401, 14163, 26655, 1010, 23037, 2474, 22494, 5403, 1010, 1998, 9714, 1011, 5506, 5899, 2557, 3677, 4074, 3557, 2000, 4334, 2114, 1996, 9298, 2389, 1997, 2248, 25375, 2008, 27023, 2135, 3513, 1996, 2088, 1012, 2009, 2001, 2023, 4516, 2008, 7283, 15896, 8334, 1048, 1012, 29504, 3678, 1010, 1996, 12491, 2402, 2158, 2040, 9382, 2915, 16360, 1012, 16988, 29360, 2015, 1012, 2144, 1996, 5008, 1010, 11992, 2031, 25635, 2098, 2006, 2000, 1996, 27838, 4183, 3351, 2923, 2929, 1521, 1055, 2047, 1011, 2287, 2217, 2000, 7475, 2008, 29504, 3678, 16586, 2013, 1996, 2187, 1012, 2500, 1010, 2870, 2443, 1010, 2031, 4197, 2041, 2008, 1996, 2434, 27838, 4183, 3351, 2923, 2143, 2003, 2440, 1997, 13548, 2157, 1011, 3358, 4784, 2008, 2031, 13447, 2646, 1996, 7731, 3081, 1996, 5572, 2283, 1012, 27838, 4183, 3351, 2923, 19428, 1010, 2005, 2742, 1010, 2008, 1996, 2142, 2163, 2071, 2574, 2022, 4942, 23545, 2094, 2046, 1037, 2167, 2137, 2586, 2004, 1037, 14988, 2000, 1996, 5069, 1997, 2561, 25691, 2028, 1011, 2088, 2231, 1012, 2372, 1997, 1996, 27838, 4183, 3351, 2923, 2929, 1010, 2025, 10889, 1010, 15454, 2151, 4434, 2090, 1996, 5008, 1998, 2037, 13165, 1010, 2130, 2004, 2070, 1997, 2068, 6160, 1996, 2047, 3086, 2008, 2009, 2038, 2716, 2037, 4784, 1012, 1523, 2009, 1521, 1055, 4821, 1037, 3893, 2518, 1010, 1524, 2758, 6766, 7861, 16213, 1010, 1996, 17300, 22344, 3364, 2040, 2522, 1011, 8397, 1996, 2047, 2259, 3127, 1012, 1523, 2009, 1521, 1055, 2811, 1012, 1998, 1524, 1517, 2007, 1996, 2353, 4516, 2074, 2207, 1517, 1523, 1996, 10984, 2481, 1521, 1056, 2022, 2488, 1012, 1524, 5564, 1010, 1996, 6622, 1997, 1996, 2929, 2993, 3464, 14485, 1012, 2129, 2106, 1037, 2715, 27068, 2006, 1996, 16744, 1997, 1996, 13376, 1997, 19999, 18708, 1037, 3795, 3029, 1997, 2898, 1011, 7168, 21416, 24862, 4483, 5130, 1029, 2054, 2003, 1996, 27838, 4183, 3351, 2923, 2929, 1029, 1996, 4516, 2008, 2318, 2009, 2035, 2211, 2004, 2019, 2396, 2622, 1012, 1523, 1996, 2434, 27838, 4183, 3351, 2923, 2001, 2025, 1037, 2143, 1010, 2021, 1037, 2836, 3538, 1010, 2029, 5031, 1997, 1037, 12436, 12672, 26548, 2937, 2806, 4800, 1011, 2865, 2724, 2478, 2680, 2189, 1010, 2444, 5693, 1998, 2678, 1010, 1524, 1996, 27838, 4183, 3351, 2923, 4037, 7607, 1012, 1996, 2472, 1010, 1037, 2402, 2267, 4530, 5833, 2040, 3632, 2011, 2848, 3312, 1010, 2010, 2034, 1998, 2690, 3415, 1010, 2758, 2002, 1523, 7463, 1524, 2009, 2039, 3784, 1010, 2073, 2009, 2574, 2001, 2893, 5606, 1997, 5190, 1010, 2059, 8817, 1010, 2059, 15295, 1997, 8817, 1997, 5328, 2006, 8224, 6876, 1012, 2009, 2038, 2144, 2042, 3718, 2013, 2008, 2609, 1010, 2021, 2195, 2111, 2031, 6866, 2009, 2006, 7858, 1010, 2073, 2536, 4617, 2031, 2363, 8817, 1997, 5328, 2169, 1010, 1998, 2006, 6819, 26247, 1010, 2073, 2009, 1521, 1055, 2042, 2464, 2471, 5174, 1010, 2199, 2335, 1999, 1996, 2197, 2416, 2706, 1012, 22477, 1997, 1996, 2034, 2048, 15693, 2024, 2036, 2005, 5096, 3784, 1012, 1523, 1996, 2147, 2001, 2196, 2881, 2004, 1037, 2143, 2030, 2130, 1037, 4516, 1999, 1037, 3151, 3168, 1517, 2009, 2001, 2881, 2004, 1037, 5541, 1010, 4013, 22776, 1010, 14868, 5533, 3670, 1010, 2440, 1997, 6018, 4654, 7913, 16383, 1998, 4600, 19551, 18327, 1010, 1524, 1996, 27838, 4183, 3351, 2923, 4037, 2758, 1012, 2023, 2453, 1010, 2174, 1010, 2022, 1037, 2978, 1997, 1037, 2695, 1011, 13743, 11581, 3989, 1010, 3214, 2000, 3292, 3312, 2013, 2070, 1997, 1996, 4668, 5649, 4784, 1999, 2010, 2143, 1012, 2009, 5121, 2987, 1521, 1056, 4863, 2129, 1996, 3538, 2081, 1996, 6653, 2013, 2836, 2396, 2000, 4659, 18920, 2048, 1011, 3178, 4516, 1012, 1996, 2434, 27838, 4183, 3351, 2923, 2038, 1037, 2093, 1011, 2112, 3252, 1010, 1998, 2065, 2017, 2074, 2387, 1996, 2034, 2353, 1010, 2017, 2453, 2228, 2009, 2234, 2013, 1996, 2187, 1012, 2009, 4269, 2011, 9177, 1010, 2478, 1037, 8281, 4666, 1997, 2755, 1998, 11028, 1010, 2008, 7988, 2003, 1037, 29523, 9861, 1010, 1037, 2275, 1997, 17218, 29223, 2013, 14318, 3103, 8754, 2015, 2005, 5682, 1997, 2591, 2491, 1012, 2491, 2003, 1996, 2143, 1521, 1055, 2613, 4323, 1024, 2035, 2256, 4331, 1998, 2256, 4896, 1010, 2009, 6083, 1010, 18547, 2013, 1037, 9714, 1997, 2248, 25375, 2040, 17708, 2088, 2824, 2005, 2037, 2219, 11372, 1012, 1996, 2117, 2112, 9251, 2008, 17419, 1012, 2340, 2001, 2019, 2503, 3105, 1010, 13685, 2011, 2122, 2769, 2098, 5426, 1012, 2172, 1997, 2049, 8333, 2001, 2579, 3495, 2013, 15693, 2580, 2011, 1996, 2521, 1011, 2157, 2557, 3677, 4074, 3557, 1010, 3005, 2147, 2003, 7422, 2000, 14944, 1996, 3795, 7069, 1521, 1055, 2933, 2005, 2561, 25691, 2028, 1011, 2088, 17882, 1012, 2013, 2045, 1010, 27838, 4183, 3351, 2923, 18989, 2046, 1037, 18404, 1011, 14451, 1997, 1996, 2248, 12194, 2291, 1010, 1037, 4323, 2008, 3216, 2083, 2119, 2049, 25815, 1012, 2429, 2000, 9090, 2022, 20927, 2102, 1997, 2576, 2470, 9228, 1010, 1037, 2228, 4951, 2008, 2913, 2157, 1011, 3358, 5750, 1010, 2172, 1997, 2009, 12153, 2013, 2048, 2808, 1024, 1996, 6492, 2013, 15333, 4801, 3363, 2479, 2011, 1043, 1012, 3487, 9258, 1010, 1037, 2266, 1997, 1996, 2198, 16421, 2554, 1010, 1998, 7800, 1997, 1996, 2976, 3914, 2011, 7327, 9153, 3401, 14163, 26655, 1012, 14163, 26655, 6283, 5181, 1010, 2021, 2010, 7604, 2000, 5181, 1999, 1996, 2338, 2024, 20658, 1012, 1523, 2009, 1521, 1055, 17395, 1010, 2517, 2011, 2028, 1997, 1996, 2088, 1521, 1055, 2087, 12536, 3424, 1011, 4100, 4570, 2000, 2599, 2111, 2046, 2008, 17826, 2944, 1010, 1524, 2758, 2022, 20927, 2102, 1012, 27838, 4183, 3351, 2923, 2573, 1996, 2168, 2126, 1012, 2295, 2009, 2758, 2498, 2055, 5181, 1010, 2049, 4106, 13536, 4438, 3424, 1011, 20604, 2064, 18117, 1012, 3202, 2044, 8333, 1997, 1996, 5519, 7626, 4634, 1010, 2005, 2742, 1010, 1996, 2143, 2838, 2019, 28142, 2013, 1037, 4613, 2008, 2798, 11409, 25190, 2232, 2435, 2000, 2019, 2637, 2034, 2177, 1999, 3874, 1024, 1523, 2043, 17601, 8420, 1999, 2885, 1999, 3912, 1010, 2009, 2001, 3651, 2008, 1996, 2137, 2111, 2018, 2053, 6808, 1997, 5738, 1996, 2162, 1012, 2021, 2009, 2001, 3651, 2008, 2023, 2406, 2071, 2022, 4372, 4588, 2098, 2046, 1996, 2162, 1010, 1999, 2200, 2172, 1996, 2168, 2126, 2008, 2009, 2001, 4372, 4588, 2098, 2046, 1996, 2197, 2028, 1012, 1524, 2004, 2010, 2616, 2377, 1010, 19377, 2055, 5712, 14257, 2408, 1996, 3898, 1012, 1523, 2057, 3685, 3499, 1996, 3019, 25289, 1998, 18024, 2015, 1997, 2060, 7243, 2000, 2599, 2256, 2406, 2000, 6215, 1010, 1524, 2002, 5531, 1012, 11409, 25190, 2232, 1010, 1997, 2607, 1010, 2001, 3331, 2055, 1996, 5181, 1012, 7193, 2012, 8525, 7228, 2000, 3424, 1011, 20604, 17871, 2052, 8100, 16519, 2008, 3312, 2001, 1010, 2205, 1012, 2044, 3312, 2404, 27838, 4183, 3351, 2923, 3784, 1010, 2009, 2855, 2150, 2019, 4274, 8742, 1012, 15281, 2596, 2006, 1996, 11744, 1997, 6902, 2703, 6793, 1010, 2317, 17934, 1010, 1998, 1010, 2077, 2146, 1010, 2070, 5572, 2283, 2967, 1012, 18448, 2015, 1998, 3424, 1011, 4461, 5130, 14218, 2009, 2004, 2092, 1012, 3441, 2055, 2009, 2596, 1999, 6399, 4969, 1012, 2070, 2020, 24588, 1024, 2148, 3088, 1521, 1055, 4880, 2335, 4102, 2009, 2000, 2019, 4297, 2239, 8159, 11638, 3606, 1012, 2130, 1996, 2139, 8569, 8950, 2545, 14914, 2000, 2049, 3362, 1012, 2019, 3720, 1999, 1996, 3493, 2335, 2649, 1996, 1523, 5294, 3037, 1524, 1996, 4516, 2018, 6296, 2077, 20342, 24360, 1010, 1523, 2028, 2428, 8996, 27838, 4183, 3351, 2923, 2001, 1037, 3040, 3993, 2627, 17322, 1997, 7398, 1011, 2301, 27890, 1010, 1037, 26316, 12934, 27417, 18219, 2000, 6538, 16492, 11112, 1012, 1524, 2004, 27838, 4183, 3351, 2923, 1521, 1055, 4378, 3473, 1010, 2111, 2318, 4851, 3312, 2054, 2027, 2323, 2079, 2007, 2010, 11355, 2592, 1012, 2002, 2134, 1521, 1056, 2113, 2054, 2000, 2425, 2068, 1012, 2002, 3569, 6902, 2703, 1010, 2021, 2002, 3373, 1996, 2291, 2000, 2022, 2205, 20868, 5596, 21564, 8231, 13593, 2005, 1037, 2576, 5576, 1012, 2008, 1521, 1055, 2043, 2002, 2777, 14855, 2278, 4226, 26991, 1010, 1037, 7490, 11865, 20689, 2923, 1998, 2052, 1011, 2022, 10644, 12168, 2040, 2038, 2042, 8225, 2005, 2010, 2617, 1999, 1996, 14123, 7138, 2005, 2062, 2084, 2274, 5109, 1012, 2141, 2000, 1037, 19802, 11783, 2594, 3644, 2155, 1999, 14864, 1999, 4585, 1010, 26991, 2333, 2000, 3050, 3349, 2044, 2088, 2162, 2462, 1012, 1996, 4988, 14377, 23381, 2063, 1010, 1999, 2010, 12558, 1997, 2662, 16799, 1010, 6638, 2158, 2006, 1996, 2187, 1024, 2176, 5109, 1999, 1996, 5230, 1010, 2626, 2008, 1999, 1996, 2220, 1521, 2753, 2015, 1010, 1523, 26991, 2018, 1037, 4418, 1997, 17102, 2040, 2641, 2032, 2279, 2069, 2000, 4789, 15313, 1010, 2348, 1996, 2814, 1998, 9064, 1997, 2216, 17102, 2411, 2245, 26991, 2001, 1037, 9861, 1998, 1037, 25869, 20051, 2319, 1012, 1524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2321, 2257, 10476, 1517, 9432, 7483, 1999, 2751, 1010, 3165, 1010, 8899, 1998, 14412, 27266, 5007, 1996, 2751, 3976, 2134, 1521, 1056, 2079, 2172, 1997, 2505, 1999, 2521, 2264, 6202, 2006, 2037, 9317, 1517, 1998, 2211, 2000, 2132, 3020, 2012, 2340, 1037, 1012, 1049, 1012, 1999, 2414, 6202, 1012, 2008, 8320, 2001, 13880, 1998, 2357, 2896, 2012, 3599, 1015, 1024, 4002, 1052, 1012, 1049, 1012, 1999, 2047, 2259, 1517, 1998, 2009, 24881, 5168, 1998, 2200, 17837, 2135, 2896, 2127, 6202, 3092, 2012, 1019, 1024, 4002, 1052, 1012, 1049, 1012, 3968, 2102, 1012, 1996, 2659, 1998, 2152, 16356, 1999, 1996, 2255, 3206, 2020, 2988, 2004, 1002, 1015, 1010, 4749, 2683, 1012, 4002, 1998, 1002, 1015, 1010, 4720, 2620, 1012, 2871, 1517, 1998, 1999, 2285, 1010, 2216, 3616, 2020, 1002, 1015, 1010, 2753, 2549, 1012, 2753, 1998, 1002, 1015, 1010, 5187, 2549, 1012, 3938, 1012, 2751, 2001, 2701, 2006, 9317, 2012, 1002, 1015, 1010, 4868, 2575, 1012, 2184, 3962, 1010, 2039, 1002, 2321, 1012, 2322, 2006, 1996, 2154, 1517, 1998, 2055, 2416, 14189, 2125, 2049, 2152, 16356, 1012, 5658, 3872, 2001, 18353, 2953, 27711, 2004, 2467, 2012, 2074, 2058, 4466, 2509, 1010, 3156, 8311, 1517, 1998, 2045, 2001, 1037, 2606, 2104, 2410, 1010, 2199, 8311, 4276, 1997, 4897, 1011, 2058, 1013, 6942, 3872, 1999, 2023, 9062, 3384, 1012, 1996, 3976, 4130, 2008, 3165, 2165, 2006, 9317, 2001, 2471, 7235, 2000, 2008, 1997, 2751, 1521, 1055, 1529, 3272, 2008, 1996, 3976, 2211, 2000, 13529, 5168, 3020, 3225, 2105, 1015, 1024, 2382, 1052, 1012, 1049, 1012, 2859, 3115, 2051, 2006, 2037, 9317, 5027, 1012, 1996, 3976, 2001, 13880, 2012, 1996, 1002, 2459, 1012, 2756, 3962, 2928, 2012, 1015, 1024, 4002, 1052, 1012, 1049, 1012, 1999, 2047, 2259, 6202, 2004, 2092, 1517, 1998, 3225, 2055, 2274, 2781, 2077, 1996, 1015, 1024, 2382, 1052, 1012, 1049, 1012, 2272, 2595, 2485, 1010, 2009, 2001, 2853, 2896, 2127, 1037, 2261, 2781, 2044, 1017, 1052, 1012, 1049, 1012, 1999, 2044, 1011, 2847, 6202, 1012, 2009, 2134, 1521, 1056, 2079, 2172, 2044, 2008, 1012, 1996, 2659, 1998, 2152, 16356, 2015, 1999, 3165, 2020, 2680, 2011, 1996, 4642, 2063, 2177, 2004, 1002, 2385, 1012, 5594, 2629, 1998, 1002, 2459, 1012, 20405, 1999, 1996, 2244, 3206, 1012, 3165, 2001, 2701, 2006, 9317, 2012, 1002, 2459, 1012, 2324, 3962, 1010, 2039, 2656, 16653, 2013, 9857, 1517, 1998, 2105, 2340, 16653, 2125, 1997, 2049, 2152, 1997, 1996, 2154, 1012, 5658, 3872, 2001, 2126, 2039, 2045, 2012, 1037, 2978, 2104, 2531, 1010, 3156, 8311, 1517, 1998, 2045, 2001, 1037, 2978, 2058, 2385, 1010, 2199, 8311, 4276, 1997, 4897, 1011, 2058, 1013, 6942, 3872, 2041, 1997, 2244, 1998, 2046, 2925, 2706, 1012, 1996, 8899, 3976, 7007, 7786, 4257, 2127, 1023, 1037, 1012, 1049, 1012, 1999, 8344, 2006, 2037, 9317, 2851, 1517, 1998, 1996, 4855, 3778, 2211, 2012, 2008, 2391, 1012, 2009, 2357, 3020, 3859, 2044, 1996, 10204, 2330, 1517, 1998, 2081, 2009, 2067, 2306, 1037, 7922, 1997, 15704, 2011, 2781, 2077, 1016, 1052, 1012, 1049, 1012, 8292, 3367, 1013, 1022, 1037, 1012, 1049, 1012, 3968, 2102, 1529, 2021, 2008, 1521, 1055, 2004, 2152, 2004, 2009, 2001, 3039, 2000, 2131, 1012, 2009, 2001, 2853, 5168, 2896, 2127, 2105, 2260, 1024, 2382, 1052, 1012, 1049, 1012, 1999, 2047, 2259, 1517, 1998, 2049, 4714, 12154, 2044, 2008, 2018, 2035, 5419, 2011, 1996, 1019, 1024, 4002, 1052, 1012, 1049, 1012, 3968, 2102, 2485, 1012, 8899, 2001, 2701, 2012, 1002, 6391, 2475, 3962, 1010, 2091, 2184, 14189, 2013, 9857, 1012, 14412, 27266, 5007, 2001, 2853, 2896, 3225, 3859, 2044, 1022, 1037, 1012, 1049, 1012, 1999, 8344, 1517, 1998, 2008, 5271, 1011, 2125, 6354, 2005, 1037, 3232, 1997, 2847, 1517, 1998, 2013, 2008, 12022, 14890, 1996, 3976, 2134, 1521, 1056, 2079, 2172, 2127, 2105, 2184, 1024, 2423, 1037, 1012, 1049, 1012, 1999, 10204, 2006, 2037, 9317, 2851, 1012, 1996, 3976, 3778, 1999, 2023, 9062, 3384, 2211, 2012, 2008, 2391, 1517, 1998, 1996, 2659, 16356, 2001, 2275, 2055, 2340, 1024, 2871, 1037, 1012, 1049, 1012, 1999, 2272, 2595, 6202, 1999, 2047, 2259, 1012, 1998, 1010, 2066, 2005, 8899, 1010, 2049, 8320, 3535, 2044, 2008, 2001, 3262, 11265, 11644, 2011, 1996, 1019, 1024, 4002, 1052, 1012, 1049, 1012, 2485, 1012, 14412, 27266, 5007, 2001, 2701, 2012, 1002, 1015, 1010, 2871, 2620, 3962, 1010, 2091, 2539, 6363, 2006, 1996, 2154, 1012, 1996, 7922, 5950, 2701, 2200, 2397, 2006, 9857, 5027, 1999, 2047, 2259, 2012, 5989, 1012, 6282, 1517, 1998, 2441, 2091, 1016, 3978, 2685, 2320, 6202, 8420, 2012, 1021, 1024, 3429, 1052, 1012, 1049, 1012, 3968, 2102, 2006, 9857, 3944, 1010, 2029, 2001, 1021, 1024, 3429, 1037, 1012, 1049, 1012, 2859, 3115, 2051, 2006, 2037, 9317, 2851, 1012, 2009, 13147, 1037, 2978, 3020, 2127, 2105, 1015, 1024, 2322, 1052, 1012, 1049, 1012, 20116, 2102, 1517, 1998, 2059, 13011, 17837, 2135, 2896, 2127, 1037, 1520, 8320, 1521, 2764, 2055, 2274, 2781, 2077, 1996, 2272, 2595, 2330, 1999, 2047, 2259, 1012, 2008, 1520, 8320, 1521, 2347, 1521, 1056, 15241, 4654, 21436, 4630, 1517, 1998, 2743, 2041, 1997, 3806, 2105, 1018, 1024, 5709, 1052, 1012, 1049, 1012, 1517, 1998, 2009, 5707, 1037, 4714, 9210, 1997, 3978, 2685, 2183, 2046, 1996, 1019, 1024, 2382, 1052, 1012, 1049, 1012, 2485, 1012, 1996, 7922, 5950, 2736, 1996, 9317, 5219, 2012, 5989, 1012, 5585, 1529, 2039, 2324, 3978, 2685, 2013, 9857, 1521, 1055, 2485, 1012, 2009, 2001, 2178, 2154, 2073, 2054, 2001, 2183, 2006, 1999, 1996, 9598, 6089, 2018, 3492, 2172, 5717, 2000, 2079, 2007, 2054, 6230, 1999, 1996, 9062, 11970, 1012, 2182, 1521, 1055, 1996, 1040, 18037, 3673, 1010, 14571, 1997, 22950, 2004, 2467, 1012, 11562, 2000, 4372, 8017, 3351, 1012, 1998, 2182, 1521, 1055, 1996, 1020, 1011, 3204, 1057, 1012, 1055, 1012, 7922, 5950, 3673, 1010, 4283, 2000, 1996, 12455, 2058, 2012, 1996, 4518, 7507, 21217, 1012, 4012, 4274, 2609, 1012, 1996, 7160, 2090, 2049, 2485, 1529, 5989, 1012, 6640, 1529, 1998, 1996, 2485, 2006, 1996, 1040, 18037, 3673, 2682, 2001, 2385, 3978, 2685, 2006, 9317, 1012, 11562, 2000, 4372, 8017, 3351, 2004, 2092, 1012, 1996, 2751, 15768, 2441, 2039, 2058, 1016, 3867, 1517, 1998, 2059, 2020, 2853, 2896, 2127, 2105, 2340, 1024, 2871, 1037, 1012, 1049, 1012, 1999, 2851, 6202, 1999, 2047, 2259, 1012, 2027, 24356, 2471, 2067, 2000, 2037, 3025, 26836, 2011, 1037, 3371, 2044, 1015, 1052, 1012, 1049, 1012, 1517, 1998, 2043, 2751, 2001, 13880, 1037, 2357, 2896, 2012, 2008, 12022, 14890, 1010, 1996, 6661, 2628, 1012, 1996, 17504, 2701, 2039, 2069, 1014, 1012, 2459, 3867, 1012, 1996, 3165, 1041, 15549, 7368, 2330, 2039, 2242, 2625, 2084, 2048, 3867, 1517, 1998, 2027, 2020, 2853, 2896, 1998, 2067, 2046, 4997, 3700, 3859, 2044, 2084, 1012, 2027, 3266, 2000, 26202, 2037, 7972, 27518, 2067, 2682, 1996, 15704, 2928, 2011, 2105, 1015, 1052, 1012, 1049, 1012, 3968, 2102, 1012, 1996, 3165, 3976, 2001, 2036, 13880, 1998, 2357, 2896, 2012, 2008, 2051, 1517, 1998, 1996, 6661, 27838, 23067, 27191, 2628, 1010, 2004, 4172, 21964, 1521, 1055, 26721, 10259, 3165, 15792, 1013, 3165, 1021, 5950, 2701, 2091, 2178, 1016, 1012, 3486, 3867, 1012, 11562, 2000, 4372, 8017, 3351, 2065, 4072, 1012, 1998, 2182, 1521, 1055, 4172, 1521, 1055, 1015, 1011, 2095, 3165, 15792, 1013, 3165, 1021, 5950, 3673, 1010, 7172, 2007, 9317, 1521, 1055, 2079, 4478, 1012, 11562, 2000, 4372, 8017, 3351, 2004, 2092, 1012, 2348, 1045, 8343, 2008, 2070, 1997, 7483, 1521, 1055, 5271, 1011, 2125, 1999, 1996, 9062, 3384, 15768, 2001, 3141, 2000, 1996, 2236, 25430, 7828, 1999, 1996, 2047, 2259, 10067, 6089, 2006, 9317, 1529, 1045, 2064, 1521, 1056, 6073, 1996, 3110, 2008, 2045, 1521, 1055, 1037, 3082, 2192, 4760, 2039, 2004, 1037, 2460, 14939, 1529, 2926, 1999, 1996, 3165, 6661, 1012, 1045, 2071, 2022, 3308, 2055, 2008, 1010, 2021, 1045, 2031, 2000, 2655, 2009, 1996, 2126, 1045, 2156, 2009, 1012, 2174, 1010, 2065, 1045, 2079, 2131, 2047, 2592, 1010, 1045, 1521, 1049, 5121, 4810, 2000, 2689, 2026, 2568, 1012, 1996, 4642, 2063, 3679, 6959, 3189, 3662, 2008, 6356, 2683, 2751, 1998, 15028, 3165, 8311, 2020, 6866, 2005, 6959, 2306, 1996, 2272, 2595, 1011, 4844, 12816, 18909, 2006, 5958, 1012, 1999, 2751, 1010, 1996, 2069, 2028, 1997, 1996, 2048, 2460, 1013, 3277, 2869, 2008, 13836, 2001, 26236, 9818, 3915, 1010, 2004, 2027, 3843, 6356, 2549, 8311, 2041, 1997, 2037, 1999, 1011, 2160, 1013, 16350, 6202, 4070, 1012, 2045, 2020, 2702, 2146, 1013, 2644, 7347, 1999, 2561, 1517, 1998, 1996, 2176, 2922, 2020, 16545, 5302, 16998, 2007, 4090, 2475, 2005, 2049, 7396, 4070, 1529, 23903, 17795, 2007, 8148, 8311, 2005, 2049, 2219, 4070, 1529, 25022, 3775, 17058, 2007, 15170, 2005, 2049, 2219, 4070, 2004, 2092, 1517, 1998, 1999, 2959, 3962, 2001, 5056, 1010, 2007, 3963, 8311, 2005, 2049, 7396, 4070, 1012, 1999, 3165, 1010, 2045, 2176, 2460, 1013, 3277, 2869, 1999, 2561, 1517, 1998, 1996, 2048, 5221, 2020, 2248, 1042, 1012, 1039, 1012, 2962, 2007, 10114, 8311, 1517, 1998, 5056, 2007, 2570, 8311, 1012, 2045, 2020, 2274, 2146, 1013, 2644, 7347, 1999, 2561, 1517, 1998, 1996, 2048, 5221, 2045, 2020, 16545, 5302, 16998, 1998, 5056, 1529, 8130, 2039, 3770, 1998, 4466, 8311, 2005, 2037, 7972, 7396, 6115, 1012, 1996, 4957, 2000, 7483, 1521, 1055, 3277, 2869, 1998, 2644, 7347, 3189, 2003, 2182, 1012, 1996, 4642, 2063, 8824, 3189, 2005, 1996, 9317, 6202, 5219, 3662, 2008, 2751, 2330, 3037, 1999, 2257, 6430, 2011, 1037, 2582, 23593, 8311, 1010, 2975, 1015, 1010, 6640, 2487, 2145, 2330, 1010, 15718, 1996, 6356, 2683, 8311, 3855, 1037, 2261, 20423, 2015, 3283, 1012, 9857, 1521, 1055, 3679, 6959, 3189, 3662, 2008, 5717, 2751, 8311, 2020, 6866, 2005, 6959, 2651, 1010, 2061, 2008, 2965, 2008, 23593, 2062, 2751, 8311, 9955, 2013, 1996, 2257, 6959, 3204, 1012, 3165, 1051, 1012, 1045, 1012, 1999, 2257, 3062, 2011, 4601, 8311, 1010, 2975, 8574, 2145, 2105, 1010, 15718, 1996, 15028, 8311, 3855, 1037, 2261, 20423, 2015, 3283, 1012, 9857, 1521, 1055, 3679, 6959, 3189, 3662, 2008, 6421, 3165, 8311, 2020, 2941, 6866, 2005, 6959, 2651, 1010, 2061, 2008, 2965, 2008, 6421, 1011, 4601, 1027, 3590, 2062, 3165, 8311, 2074, 2288, 2794, 2000, 2257, 1012, 2061, 2521, 2023, 3204, 2045, 2031, 2042, 1019, 1010, 16345, 2751, 8311, 3843, 1998, 3030, 1517, 1998, 2008, 2193, 1999, 3165, 2003, 2085, 2039, 2000, 2040, 14853, 1015, 1010, 6365, 2575, 8311, 1012, 2008, 1521, 1055, 1996, 2922, 2193, 1997, 3165, 8311, 2412, 5359, 1999, 1037, 2512, 1011, 3151, 6959, 3204, 2005, 3165, 2008, 1045, 1521, 2310, 2412, 2464, 1012, 2004, 1045, 1521, 2310, 2056, 2077, 1010, 1996, 25740, 2003, 2085, 2006, 2005, 2054, 1521, 1055, 2187, 1997, 1996, 2412, 1011, 1040, 11101, 2989, 6067, 1997, 3558, 22889, 16402, 2008, 2045, 2024, 1012, 2044, 1037, 20000, 2100, 10534, 2013, 1043, 6392, 2006, 9857, 1010, 2045, 2001, 1037, 2200, 11519, 12816, 2006, 9317, 1010, 2004, 2019, 9362, 13180, 2794, 1037, 2002, 6199, 2100, 21005, 1010, 20500, 9553, 19471, 2015, 1012, 1998, 2045, 2001, 2178, 21668, 12816, 2046, 22889, 2615, 1529, 1996, 2117, 2028, 1999, 2004, 2116, 2420, 1529, 2004, 2019, 1037, 1012, 1052, 1012, 2794, 1018, 1010, 5187, 2620, 1010, 17222, 9553, 19471, 2015, 1012, 1999, 1996, 2060, 3165, 3802, 10343, 1010, 2045, 2001, 5187, 2683, 1010, 4090, 2620, 9553, 19471, 2015, 2794, 2000, 11605, 2924, 1521, 1055, 1060, 4215, 2575, 4636, 1517, 2247, 2007, 16333, 1010, 4185, 2629, 9553, 19471, 2015, 2794, 2012, 11867, 21709, 2102, 1012, 2320, 2153, 2045, 2001, 2053, 4341, 3189, 2013, 1996, 1057, 1012, 1055, 1012, 12927, 1012, 2045, 2001, 2070, 11519, 2929, 1999, 2751, 2058, 2012, 1996, 2272, 2595, 1011, 4844, 12816, 18909, 2006, 1996, 1057, 1012, 1055, 1012, 2264, 5435, 2006, 9857, 1012, 26236, 9818, 3915, 2988, 4909, 3515, 1010, 3938, 2683, 1012, 13274, 9553, 19471, 2015, 1013, 1016, 1010, 28714, 11382, 4135, 8237, 2015, 1031, 22214, 2063, 11382, 4135, 8237, 3635, 1033, 1012, 2045, 2001, 2053, 1520, 2041, 1521, 4023, 1012, 6945, 2056, 2008, 2027, 2087, 3497, 2716, 2009, 1999, 11206, 1012, 2021, 2004, 2028, 1997, 1996, 2922, 2460, 1013, 3277, 2869, 1999, 2751, 1010, 2009, 2596, 2000, 2032, 2008, 2070, 1997, 1996, 2146, 1013, 2644, 7347, 2020, 9694, 6959, 1997, 3558, 3384, 1010, 2061, 2027, 2018, 2000, 4965, 2009, 1010, 2004, 2027, 5525, 2018, 3904, 1997, 2037, 2219, 2000, 8116, 1012, 1045, 8343, 2008, 2023, 6959, 3663, 2097, 2022, 10395, 2200, 3859, 1012, 1996, 4957, 2000, 2023, 4023, 2003, 2182, 1012, 1031, 1045, 2626, 2023, 20423, 2176, 2847, 2077, 1996, 3679, 6959, 3189, 2234, 2041, 1517, 1998, 2009, 1521, 1055, 2085, 5793, 2008, 6945, 2170, 2009, 3599, 2157, 1012, 1516, 3968, 1033, 2045, 2347, 1521, 1056 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 3113, 2852, 1012, 11582, 7432, 1011, 5776, 18558, 1011, 2998, 4200, 1011, 2147, 6441, 1011, 3667, 9430, 3460, 1011, 3967, 2149, 5395, 1010, 19067, 2030, 2705, 24174, 2594, 9431, 1521, 1055, 5776, 4391, 2852, 11582, 7432, 3202, 3858, 1996, 18976, 1997, 2026, 6181, 4544, 1998, 2081, 1996, 3247, 2000, 2224, 1037, 2047, 3949, 2000, 7192, 2026, 2273, 2483, 7874, 1012, 2002, 2001, 2200, 9657, 1045, 2052, 2031, 1037, 2204, 2765, 1012, 2002, 2106, 2019, 6429, 3105, 2006, 1996, 5970, 1998, 3271, 2033, 8980, 2044, 5970, 1012, 1516, 4074, 1042, 1012, 2026, 3325, 2007, 5970, 2001, 6581, 1012, 1045, 2018, 7950, 2026, 9353, 2140, 1998, 2273, 2483, 7874, 1998, 2852, 11582, 7432, 13671, 2068, 6669, 1012, 2852, 11582, 7432, 1998, 2010, 3095, 3024, 1996, 27917, 2729, 2077, 1010, 2076, 1010, 1998, 2044, 1996, 5970, 1012, 2852, 11582, 7432, 1521, 1055, 2436, 3095, 3640, 4248, 1998, 18114, 8013, 2729, 1012, 1516, 14381, 1037, 2852, 1012, 11582, 7432, 9531, 2094, 2026, 2187, 6181, 2000, 7192, 2048, 4000, 1999, 1996, 2273, 2483, 7874, 1012, 1045, 2018, 3130, 2018, 1996, 2168, 2828, 1997, 5970, 2006, 2026, 2060, 6181, 1012, 2026, 2187, 6181, 2003, 2085, 3294, 2067, 2000, 3671, 1999, 2074, 1037, 2261, 2460, 2706, 1998, 2003, 2941, 2062, 12379, 2084, 2026, 2157, 6181, 1012, 2852, 11582, 7432, 5621, 14977, 2005, 2010, 5022, 1012, 2002, 3138, 2004, 2172, 2051, 2004, 2734, 2000, 3437, 2151, 3980, 1045, 2031, 1012, 2002, 2038, 2589, 2673, 2825, 2000, 2131, 2033, 2067, 2006, 2650, 1998, 2067, 2000, 3671, 1012, 1516, 19031, 3775, 1049, 1012, 2852, 11582, 7432, 2038, 2589, 1016, 9353, 2140, 8735, 2015, 2005, 2033, 1010, 2028, 2006, 2169, 6181, 1012, 2002, 2001, 2200, 2039, 2392, 2007, 2033, 3188, 2000, 2026, 12058, 5134, 1010, 9990, 1996, 4013, 2015, 1998, 9530, 2015, 1012, 2002, 2467, 3138, 2051, 2043, 1045, 2031, 2026, 6098, 2000, 2156, 2008, 1045, 2572, 8907, 7919, 1012, 2002, 3640, 6581, 3582, 2039, 2729, 1998, 23303, 2026, 3558, 7242, 1012, 1045, 2572, 2200, 7622, 2007, 2010, 2436, 3095, 1012, 2027, 2709, 4455, 13364, 1998, 2024, 2467, 5379, 1012, 1045, 2052, 3811, 16755, 2852, 11582, 7432, 2000, 3087, 11303, 6181, 5970, 1012, 1516, 3870, 1049, 1012, 2852, 11582, 7432, 1998, 2010, 3095, 2024, 2428, 5379, 1998, 2037, 2326, 2003, 2117, 2000, 3904, 1012, 1516, 10001, 1056, 1012, 2852, 11582, 7432, 2003, 2019, 6581, 9431, 1012, 1045, 2572, 2200, 3407, 2007, 2026, 3325, 1998, 1045, 2052, 16755, 2032, 2000, 3087, 1012, 1516, 8226, 1048, 1012, 2852, 11582, 7432, 1998, 2010, 2136, 2024, 2307, 999, 1516, 2019, 2239, 2852, 11582, 7432, 2003, 12476, 999, 2002, 2288, 2033, 2083, 1037, 2200, 2919, 2051, 1998, 1037, 2200, 2919, 3338, 1012, 2643, 19994, 2010, 2398, 999, 2643, 19994, 2032, 999, 2043, 1045, 6073, 2010, 2192, 1045, 2113, 1045, 1521, 1049, 1999, 2204, 2398, 1012, 1516, 4670, 2532, 1049, 1012, 2852, 11582, 7432, 1998, 2010, 3095, 2031, 2042, 29350, 11922, 1998, 14044, 2802, 1996, 2832, 1997, 2026, 4065, 1521, 8907, 1012, 1045, 2031, 2464, 2026, 3745, 1997, 2030, 2705, 24174, 2594, 7435, 1998, 2852, 11582, 7432, 1010, 12234, 1998, 3071, 1999, 1996, 2436, 9005, 1037, 2136, 3045, 3921, 1012, 2037, 11922, 1998, 4824, 2018, 1037, 2350, 3466, 1999, 5094, 2033, 2000, 2994, 2006, 4539, 2007, 14651, 1010, 3558, 7242, 1998, 3588, 7965, 1998, 3161, 1012, 1516, 15730, 1059, 1012, 2852, 11582, 7432, 1998, 3095, 2020, 2200, 2658, 1998, 2039, 2000, 3058, 1012, 2026, 6181, 3291, 5301, 2200, 2172, 2044, 5970, 1012, 1996, 3095, 2020, 2307, 2205, 1012, 1516, 2198, 1047, 1012, 1045, 2031, 2042, 2746, 2000, 2852, 11582, 7432, 2005, 2195, 2086, 2000, 2131, 13341, 2015, 1999, 2026, 5042, 1012, 2852, 11582, 7432, 2003, 1996, 2087, 11922, 3460, 4921, 2063, 2412, 2464, 1012, 1045, 2823, 2228, 1996, 13341, 2015, 1999, 2026, 6181, 3480, 2032, 2471, 2004, 2172, 2004, 2027, 2079, 2033, 999, 2002, 2003, 2200, 12367, 8082, 1998, 2467, 7607, 2026, 7047, 1012, 1516, 10778, 1055, 1012, 4283, 2000, 2852, 11582, 7432, 1998, 2010, 3095, 2005, 2437, 2026, 5970, 1998, 7233, 1996, 2190, 2009, 2071, 2022, 1012, 2017, 2035, 2031, 2042, 7078, 6919, 1998, 1045, 5621, 9120, 2673, 8038, 1521, 2222, 2106, 1012, 1516, 5348, 1055, 1012, 2190, 5923, 2852, 1998, 2190, 3452, 9871, 999, 2307, 19475, 5450, 1012, 1516, 10881, 1056, 1012, 2017, 1521, 2128, 1996, 2190, 2852, 1045, 2031, 2412, 2464, 1012, 4067, 2017, 2005, 2108, 2061, 3835, 2000, 2033, 1012, 1516, 9388, 26571, 1059, 1012, 2852, 11582, 7432, 1010, 5373, 1045, 5223, 2000, 2202, 2026, 4268, 2000, 1996, 3460, 1010, 2021, 2005, 2070, 3114, 2043, 2028, 1997, 2068, 3310, 2000, 2017, 1045, 2298, 2830, 2000, 1996, 3942, 1012, 1045, 2113, 2057, 2024, 2108, 2464, 2011, 1996, 2190, 1012, 1516, 17400, 1059, 1012, 1045, 21726, 2026, 2187, 29333, 10882, 28507, 1998, 2001, 2409, 2011, 2178, 3460, 1996, 5923, 2001, 12936, 1998, 2734, 5970, 1012, 1045, 3202, 4912, 2041, 1996, 13545, 7389, 2030, 2705, 24174, 2594, 2177, 1998, 2081, 2019, 6098, 2007, 2852, 11582, 7432, 1012, 2144, 1045, 2001, 1037, 14234, 22291, 5776, 2005, 1996, 2197, 2184, 2086, 2045, 2020, 5936, 2058, 1996, 5970, 1998, 2825, 12763, 2007, 6357, 8907, 1999, 2026, 2553, 1012, 2852, 11582, 7432, 2165, 2569, 29361, 1998, 17535, 2007, 1996, 2060, 2030, 2705, 24174, 2594, 7435, 1999, 2010, 2177, 2077, 10561, 1037, 2607, 1997, 2895, 1012, 1996, 3247, 2001, 2081, 2025, 2000, 2079, 5970, 1998, 2612, 2002, 5845, 1996, 19583, 1999, 1037, 3459, 2005, 1020, 3134, 1998, 9707, 1010, 2007, 1996, 2393, 1997, 1037, 5923, 3930, 2358, 5714, 20350, 1010, 1045, 2572, 2067, 2006, 2026, 2519, 1998, 3929, 8360, 1012, 1045, 3811, 16755, 2852, 11582, 7432, 2004, 2002, 3138, 1996, 2051, 1998, 2729, 2734, 2000, 2131, 2000, 2113, 2010, 5022, 14258, 1998, 2933, 1996, 2190, 1998, 2087, 6413, 3167, 2729, 1012, 1516, 6174, 1043, 1012, 3460, 11582, 7432, 2003, 6919, 999, 2057, 2293, 2032, 1012, 1516, 2019, 2239, 3322, 2211, 3773, 2852, 1012, 11582, 7432, 2005, 1037, 10694, 3244, 4544, 2012, 1996, 6523, 7941, 1997, 2026, 2155, 2852, 1012, 1045, 3202, 12315, 2010, 19732, 2000, 2202, 1996, 2051, 2000, 4952, 1998, 2022, 3056, 2008, 2002, 5319, 2026, 2381, 1010, 1998, 2036, 2000, 2191, 3056, 2008, 1045, 5319, 1996, 13336, 1997, 2026, 3244, 1998, 2054, 2001, 9099, 8197, 4892, 2007, 2009, 8186, 1012, 2002, 2001, 4603, 1999, 2010, 3949, 1010, 2034, 7161, 3558, 7242, 2000, 5646, 2065, 2009, 2052, 3749, 2151, 4335, 1998, 1013, 2030, 7620, 1012, 1045, 2506, 2000, 2156, 2032, 2058, 1996, 2279, 2261, 2086, 2000, 2004, 17119, 18249, 3251, 2045, 2020, 2151, 8377, 2030, 10667, 8303, 8496, 1997, 2026, 4650, 1012, 2076, 2296, 3942, 2002, 3662, 5142, 2005, 2151, 3255, 1045, 2089, 2022, 13417, 1012, 2026, 4650, 2018, 2584, 1037, 2504, 2073, 2852, 1012, 11582, 7432, 2371, 1996, 2069, 5724, 2187, 2000, 15804, 1996, 3255, 1998, 7312, 1997, 4367, 1045, 2001, 13417, 1010, 2001, 2000, 2031, 2561, 3244, 6110, 5970, 1012, 2002, 2001, 2200, 6176, 2000, 2191, 2469, 2008, 1045, 3294, 5319, 2054, 2001, 2920, 1999, 1996, 7709, 1010, 1998, 4081, 2008, 2349, 2000, 2026, 4659, 2402, 2287, 1010, 2008, 1045, 1523, 4952, 2000, 2026, 2303, 1524, 1010, 1998, 2007, 12640, 2383, 1996, 5970, 2127, 1045, 2371, 2008, 1045, 2481, 1521, 1056, 3233, 2009, 2151, 2936, 1012, 2043, 2009, 2234, 2051, 2000, 1523, 4139, 1996, 9495, 1010, 1524, 2002, 2864, 1996, 5970, 2302, 12763, 1012, 3202, 3188, 2000, 1996, 5970, 1010, 2852, 1012, 11582, 7432, 2081, 3056, 2000, 4863, 2054, 2052, 2202, 2173, 1010, 1999, 2054, 2344, 1010, 1998, 6913, 2107, 7023, 2008, 1045, 1010, 1998, 2026, 18591, 1010, 2371, 2172, 2012, 7496, 1012, 1045, 2031, 2018, 2307, 3463, 1998, 2076, 3582, 1011, 2039, 7879, 1010, 2852, 1012, 11582, 7432, 3849, 15958, 7537, 2007, 2026, 3463, 1010, 2004, 2092, 2004, 2005, 2033, 2004, 2019, 3265, 1012, 1516, 2703, 1047, 1012, 1045, 2031, 2042, 1037, 5776, 1997, 2852, 1012, 11582, 7432, 1521, 1055, 2005, 2195, 2086, 1012, 2013, 2026, 2034, 3942, 1010, 2852, 1012, 11582, 7432, 1998, 2010, 6919, 3095, 2031, 2081, 2033, 2514, 2004, 2065, 1045, 2020, 2037, 2069, 5776, 1998, 2008, 2027, 2020, 2035, 15958, 4699, 1998, 11241, 1999, 2026, 2092, 2108, 1012, 2852, 1012, 11582, 7432, 1998, 2010, 3095, 2202, 1996, 2051, 2000, 4952, 2000, 2017, 1998, 2000, 3437, 2115, 3980, 1012, 2027, 2655, 2017, 2067, 1998, 2467, 2079, 2037, 2200, 2190, 2000, 2147, 2017, 2046, 2037, 9349, 6134, 2043, 2017, 2024, 2383, 1037, 3291, 2029, 2003, 4786, 2017, 3255, 1012, 1045, 2031, 3615, 2026, 2814, 1998, 2155, 2000, 2852, 1012, 11582, 7432, 1012, 1045, 2064, 2079, 2061, 2007, 2035, 7023, 2008, 2027, 2097, 2022, 2004, 3407, 2004, 1045, 2572, 2007, 2037, 3325, 2007, 2852, 1012, 11582, 7432, 1998, 2010, 3095, 1012, 2065, 2017, 2024, 9361, 2023, 4037, 1998, 1996, 5776, 3231, 16339, 6200, 4877, 2138, 2017, 2024, 3241, 1997, 2437, 2019, 6098, 2007, 2019, 2030, 2705, 24174, 2594, 3460, 1010, 3531, 2079, 4426, 1037, 5684, 1998, 2655, 2005, 2019, 6098, 2000, 2156, 2852, 1012, 11582, 7432, 1012, 2017, 2180, 1521, 1056, 2424, 2178, 3460, 1999, 1996, 5395, 2181, 2007, 3183, 2017, 2052, 2031, 1037, 2488, 3325, 1012, 1516, 12098, 11474, 1052, 1012, 2000, 2035, 1996, 12455, 2012, 13545, 7389, 2030, 2705, 24174, 2594, 1024, 2026, 3566, 1010, 2019, 9750, 2450, 1010, 3062, 1998, 3631, 2014, 7223, 1012, 2016, 2001, 6727, 2011, 1996, 5057, 2282, 3460, 2000, 3582, 1011, 2039, 2007, 2019, 2030, 2705, 24174, 2594, 9431, 1012, 2061, 2144, 1045, 2147, 2005, 2019, 27011, 2415, 1996, 2171, 25436, 11582, 7432, 9108, 2234, 2000, 2568, 1998, 1045, 2787, 2000, 2202, 2014, 2045, 1012, 2023, 2001, 1996, 2190, 2518, 1045, 2071, 2031, 2589, 1012, 2852, 1012, 11582, 7432, 1998, 2010, 3095, 2012, 1996, 11940, 9566, 2436, 2020, 2200, 4986, 1998, 29353, 1012, 2027, 2777, 2026, 3566, 1521, 1055, 3791, 1998, 2023, 2003, 2054, 2016, 2734, 1012, 2016, 2371, 2200, 6625, 2007, 2852, 1012, 11582, 7432, 1010, 2061, 2016, 2628, 1996, 3460, 1521, 1055, 4449, 2000, 1037, 1523, 1056, 1012, 1524, 2085, 2016, 2003, 2478, 1996, 7223, 2074, 2066, 2498, 2018, 2412, 3047, 1012, 2007, 2852, 1012, 11582, 7432, 1521, 1055, 11532, 1996, 5970, 2253, 2092, 1998, 2026, 3566, 2038, 15027, 2200, 2092, 1012, 2043, 1045, 2360, 1523, 2009, 1521, 1055, 2051, 2000, 2156, 2852, 1012, 11582, 7432, 1524, 2016, 2987, 1521, 1056, 16390, 1012, 2061, 2000, 2191, 1037, 2146, 2466, 2460, 1010, 2029, 1045, 2064, 2175, 2006, 1998, 2006, 2055, 2256, 8242, 3325, 2007, 2852, 1012, 11582, 7432, 1998, 2010, 3095, 1010, 2057, 2020, 2200, 7537, 1998, 2052, 16755, 13545, 7389, 2030, 2705, 24174, 2594, 2000, 3071, 1012, 4283, 2153, 999, 1516, 17217, 1040, 1012, 1006, 2684, 1997, 2984, 1044, 1012, 1007, 1045, 2572, 1037, 5776, 1997, 2852, 11582, 7432, 1521, 1055, 1012, 2002, 2003, 1037, 2307, 2852, 1012, 1010, 2002, 2003, 5776, 1010, 2200, 6851, 1998, 3733, 2000, 2831, 2000, 1012, 1045, 16755, 2032, 3811, 1012, 1516, 9388, 11239, 2852, 11582, 7432, 2003, 1037, 2200, 16115, 3468, 3460, 1012, 2057, 2228, 2002, 4152, 2000, 1996, 7117, 1997, 2477, 2011, 3331, 1998, 4851, 3980, 1012, 2002, 2038, 1037, 2307, 2793, 2217, 5450, 1012, 2057, 2031, 2467, 2042, 5186, 3407, 2007, 2032, 1012, 1516, 15062, 1055, 1012, 2852, 11582, 7432, 2003, 2467, 2428, 5379, 1998, 16115, 3468, 1012, 1045, 2031, 2018, 2019, 12476, 3942, 2296, 2051, 1045, 2031, 2272, 1012, 2010, 2878, 3095, 3084, 2009, 1037, 8242, 4440, 1010, 1998, 3084, 2017, 2514, 2066, 2027, 2428, 2729, 1012, 1516, 9606, 1059, 1012, 2043, 2026, 2539, 2095, 2214, 2365, 5229, 2010, 6181, 2652, 13488, 2005, 12555, 2152, 2082, 1010, 2057, 2253, 2000, 2156, 2852, 1012, 11582, 7432, 2006, 1037, 12832, 1012, 1045, 2001, 7622, 2007, 1996, 16030, 3267, 1997, 2010, 11616, 1010, 2029, 2357, 2041, 2000, 2022, 1037, 3143, 7697, 1997, 2010, 2157, 9353, 2140, 1012, 1996, 3223, 5970, 2001, 2589, 5516, 2000, 1996, 2436, 1010, 2029, 2001, 2200, 14057, 1010, 2004, 1996, 7709, 2357, 2041, 2000, 2022, 2062, 3375, 2084, 2761, 2245, 1012, 1996, 2658, 1998, 11922, 3267, 1997, 2852, 1012, 11582, 7432, 1010, 2247, 2007, 2010, 2972, 3095, 1010, 2038, 2081, 1037, 4121, 4489, 1999, 6487, 1521, 1055, 3452, 7233, 1998, 11252, 1012, 2852, 1012, 11582, 7432, 1998, 2010, 3095, 2024, 25732, 2007, 14651, 1010, 2200, 5379, 1010, 2664, 2777, 2594, 16203, 2007, 4751, 1012, 2057, 2031, 2187, 2169, 6098, 2007, 2296, 3160, 4660, 1010, 1998, 1037, 3154, 3861, 1997, 2129, 2002, 2003, 27673, 1012, 2004, 1037, 4986, 6687, 1010, 1045, 2031, 2042, 5186, 8510, 2008, 2026, 2365, 2038, 2363, 1996, 2190, 3452, 2729, 2825, 1012, 1516, 3782, 1037, 1012, 1045, 2018, 1996, 14293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 12436, 5051, 3748, 1041, 1011, 10869, 3319, 1024, 1996, 12436, 4691, 2908, 3748, 2003, 12436, 5051, 3748, 22939, 3401, 3723, 2140, 2489, 1008, 2057, 4374, 9430, 1010, 2065, 2017, 2020, 2000, 5309, 2083, 2256, 6971, 1008, 2034, 1997, 2035, 1010, 12436, 5051, 3748, 2003, 1037, 25954, 1041, 1011, 10869, 3135, 2013, 5759, 1010, 3146, 2124, 2005, 2037, 2569, 16958, 1998, 6429, 8013, 2326, 1012, 2027, 3749, 1037, 2502, 2846, 1997, 1041, 1011, 10869, 2015, 1998, 4366, 2008, 2027, 2123, 1521, 1056, 3013, 2151, 8413, 2005, 2037, 5167, 1012, 2174, 1010, 2027, 2215, 2000, 3073, 1037, 2307, 1010, 2659, 1011, 21125, 9804, 1012, 2003, 12436, 5051, 3748, 22939, 3401, 3723, 2140, 2489, 19380, 1024, 1996, 12436, 5051, 10869, 2015, 2029, 2057, 16157, 2006, 2023, 4037, 2024, 7718, 2011, 2256, 4738, 1010, 3825, 5073, 1012, 2004, 2112, 1997, 1996, 9312, 1010, 1996, 3217, 4215, 4580, 3527, 12681, 6971, 3495, 2000, 1996, 8875, 2030, 9639, 2061, 2008, 2017, 2089, 9878, 3495, 2013, 1996, 2194, 1012, 2057, 2131, 13239, 2013, 2122, 20141, 1010, 2174, 1010, 2023, 2515, 2025, 4254, 1996, 3465, 2017, 3477, 1010, 1998, 1996, 13239, 2057, 7796, 6509, 2149, 3477, 2005, 1996, 5366, 1997, 2770, 2023, 2609, 1012, 11562, 2182, 2000, 2424, 2041, 2062, 1012, 4067, 2017, 1012, 1996, 2449, 2003, 4310, 1999, 2116, 4725, 1012, 7297, 1010, 2027, 2130, 2421, 1037, 4696, 2006, 2037, 2609, 12599, 1523, 3653, 6528, 20771, 1012, 1524, 2009, 2838, 2048, 5167, 1010, 2028, 4709, 1523, 1996, 2087, 3976, 2100, 1041, 1011, 10869, 1997, 2035, 2051, 1524, 1012, 1006, 2029, 2003, 1002, 3156, 1007, 13939, 2438, 1010, 2027, 10655, 2031, 2941, 2242, 2170, 1523, 2686, 19175, 1524, 1041, 1011, 10869, 2029, 2003, 2467, 3253, 2041, 2005, 2070, 3114, 1012, 2426, 1996, 2502, 2477, 2008, 12436, 5051, 3748, 2003, 5319, 2005, 2003, 2049, 4121, 22953, 20760, 2890, 1997, 16958, 1012, 2747, 1010, 2027, 2846, 2013, 9440, 2000, 8974, 2000, 2273, 2705, 27896, 1998, 9098, 2015, 1012, 2065, 2017, 1521, 2128, 9662, 1010, 2017, 2064, 2344, 7017, 2015, 1997, 2536, 16958, 2017, 2215, 2000, 3535, 1012, 2004, 2019, 9560, 1010, 2017, 2097, 3305, 3599, 2054, 2027, 5510, 2066, 2302, 7079, 1996, 3143, 3976, 2005, 2068, 1012, 12436, 5051, 3748, 20874, 1999, 2151, 2553, 1010, 12436, 5051, 3748, 2038, 2070, 1997, 1996, 2087, 15184, 6165, 1012, 20506, 15004, 1010, 1996, 2773, 10036, 3475, 1521, 1056, 1037, 2204, 2773, 2004, 2009, 5373, 7127, 2000, 2242, 2659, 1999, 3737, 1010, 2021, 2025, 1999, 2023, 2553, 1012, 12825, 1010, 1996, 2184, 19875, 2005, 1002, 1016, 1012, 5585, 2003, 2037, 5221, 3749, 1998, 2003, 2028, 1997, 2037, 2877, 19041, 1012, 2000, 2404, 2008, 2046, 7339, 1010, 2116, 2449, 3749, 10826, 2066, 2321, 4971, 28136, 2005, 1002, 2260, 2030, 2062, 1012, 2003, 12436, 5051, 3748, 22939, 3401, 3723, 2140, 2489, 14793, 1998, 2640, 2012, 2151, 3446, 1010, 12436, 5051, 3748, 1521, 1055, 14793, 2003, 10468, 1996, 2066, 2296, 2060, 1041, 1011, 10869, 7751, 1012, 2027, 3952, 3749, 13338, 11015, 2081, 2013, 6081, 1012, 2027, 2031, 4453, 1996, 2171, 1997, 5510, 1010, 1996, 8154, 1010, 19332, 10196, 3997, 1010, 1998, 18720, 1013, 1058, 2290, 6463, 1012, 17077, 1010, 1996, 5664, 3444, 1997, 2037, 14793, 2003, 1996, 2846, 1999, 10826, 2800, 1045, 1012, 1041, 1012, 2184, 1010, 2382, 1010, 3438, 1010, 6036, 1010, 11212, 1998, 1037, 14388, 17295, 19968, 1012, 2714, 2000, 1996, 3528, 1997, 10826, 1010, 2027, 2224, 2195, 6809, 15955, 1012, 2005, 6013, 1010, 2017, 2064, 4060, 2013, 1020, 2367, 3798, 1997, 19332, 10196, 20828, 1045, 1012, 1041, 1012, 1014, 1010, 1015, 1012, 1019, 1010, 1017, 1010, 1020, 1010, 1023, 1010, 1998, 2260, 11460, 1013, 19875, 1012, 9308, 1010, 2017, 2064, 5454, 1017, 2536, 18720, 1013, 1058, 2290, 21879, 1012, 2122, 2421, 2322, 1013, 3770, 9875, 4098, 1058, 2290, 1010, 3486, 1013, 3515, 9875, 2152, 1058, 2290, 1010, 1998, 2753, 1013, 2753, 9875, 2431, 1998, 1037, 2431, 1012, 1996, 8386, 1999, 19332, 10196, 2504, 2064, 2022, 14044, 2065, 2017, 2024, 13659, 2000, 2057, 2319, 2125, 1997, 19332, 10196, 1012, 2005, 2742, 1010, 2017, 2064, 4088, 2012, 1037, 2152, 2504, 1998, 3254, 2896, 2009, 2127, 2017, 2064, 5959, 2115, 12436, 5051, 2007, 1014, 24798, 19332, 10196, 1012, 2562, 1999, 2568, 1010, 19332, 10196, 2003, 2426, 1996, 2087, 26855, 2075, 13978, 2104, 1996, 3103, 1010, 1998, 2064, 2022, 9410, 5716, 1012, 18720, 2003, 2005, 1037, 2172, 2488, 14894, 1998, 1037, 6428, 3759, 8742, 1010, 2096, 1058, 2290, 2003, 2005, 5155, 2062, 20064, 1012, 2383, 2205, 2172, 1997, 2593, 2064, 6752, 2039, 1996, 14894, 1012, 3568, 1010, 2027, 9585, 2017, 2000, 5454, 2054, 6463, 2017, 4792, 1012, 2054, 2057, 3866, 2055, 12436, 5051, 3748, 1011, 4121, 3528, 1997, 26389, 1011, 2116, 6809, 7047, 2000, 7661, 4697, 2115, 1041, 1011, 10869, 1011, 2775, 18907, 14793, 1011, 2489, 8168, 2005, 4449, 2058, 1002, 2321, 1998, 2411, 2097, 4604, 2037, 2327, 26389, 1012, 1011, 9470, 7829, 2006, 4449, 2058, 1002, 2382, 1011, 1037, 2192, 15773, 4067, 2017, 3602, 2007, 2296, 2344, 1012, 2009, 2987, 1521, 1056, 5335, 1996, 4031, 2021, 3084, 2017, 2514, 2008, 2027, 2729, 2055, 2017, 2004, 1037, 8013, 1011, 3601, 1997, 2383, 2006, 1011, 5157, 7661, 8266, 2006, 2115, 1041, 1011, 10869, 2015, 1011, 2034, 1011, 2465, 8013, 2326, 2477, 2057, 2134, 1521, 1056, 2066, 2055, 12436, 5051, 3748, 1011, 2009, 3849, 2008, 12436, 5051, 3748, 1521, 1055, 3688, 2031, 9671, 9561, 2335, 2029, 2064, 11477, 1996, 14894, 1011, 2007, 1996, 2489, 8168, 1010, 2017, 2064, 2069, 5454, 2070, 1997, 2037, 26389, 1012, 1999, 2804, 1010, 2027, 2123, 1521, 1056, 3499, 2017, 2000, 5454, 1996, 12882, 9098, 26389, 1011, 1996, 5221, 12087, 2057, 2031, 2055, 12436, 5051, 3748, 2003, 2008, 2027, 2123, 1521, 1056, 3830, 2037, 12760, 4415, 1012, 2043, 2057, 11925, 2037, 8013, 2490, 1010, 2027, 2409, 2149, 2008, 2087, 1997, 2037, 26389, 2020, 7718, 1999, 1996, 6845, 1012, 5678, 1010, 5604, 2005, 1996, 3588, 26389, 2003, 14128, 1012, 2003, 12436, 5051, 3748, 22939, 3401, 3723, 2140, 2489, 12436, 5051, 3748, 26389, 1999, 1996, 12507, 1010, 12436, 5051, 3748, 2038, 1037, 4121, 3528, 1997, 16958, 1012, 2027, 2175, 2013, 5909, 2100, 26389, 2000, 9485, 26389, 2000, 4392, 26389, 2000, 2214, 1011, 13405, 9098, 16958, 1998, 2061, 2006, 1012, 6600, 1010, 2057, 2453, 2074, 12436, 5051, 2070, 1997, 2068, 1010, 1998, 2182, 1521, 1055, 2256, 3325, 1012, 12436, 5051, 3748, 1024, 14894, 12992, 2123, 1521, 1056, 13534, 1996, 14894, 3623, 2005, 1037, 5510, 1012, 2009, 1521, 1055, 2074, 1037, 23715, 12192, 2800, 1999, 2184, 19968, 11015, 2008, 2064, 2022, 2794, 2000, 2060, 16958, 2000, 4578, 2368, 2068, 1012, 2011, 1996, 2126, 1010, 12436, 4691, 5510, 12992, 2894, 2025, 2074, 4107, 1037, 5729, 1010, 4895, 2890, 23460, 2094, 5510, 2174, 10655, 18856, 8649, 2015, 2039, 1996, 13787, 17629, 1012, 2057, 2179, 2008, 2009, 3623, 2070, 26389, 2172, 2488, 2084, 2500, 1012, 2005, 2742, 1010, 2043, 2794, 2000, 21443, 12136, 20919, 2051, 1010, 2009, 6135, 8776, 1996, 14894, 1010, 1998, 2025, 1999, 2019, 6581, 2126, 1012, 2006, 1996, 11238, 1010, 2009, 2253, 2092, 2007, 1996, 3484, 1997, 1996, 5909, 2100, 26389, 1012, 1011, 4086, 11619, 1516, 2426, 2037, 4121, 19041, 1523, 4086, 11619, 1524, 2003, 2005, 2216, 2040, 2031, 1037, 4086, 11868, 1012, 2130, 2061, 1010, 2009, 2003, 2411, 7823, 2000, 4372, 17695, 23722, 3686, 26389, 1999, 20064, 1012, 4086, 11619, 9020, 2000, 2191, 2009, 2298, 2066, 2017, 1521, 2128, 3053, 15077, 5699, 1012, 1999, 2804, 1010, 2009, 10655, 2838, 1037, 5955, 1997, 21229, 2029, 9909, 1037, 2843, 1997, 20014, 14735, 5666, 2000, 1996, 5510, 1010, 26136, 3832, 1012, 2096, 1996, 14894, 2003, 9487, 1010, 2009, 2064, 2022, 2205, 4086, 2005, 2070, 1012, 1011, 7117, 5404, 14257, 1516, 1045, 4900, 2000, 2831, 2055, 7117, 5404, 14257, 2144, 1045, 2031, 1037, 3167, 16730, 2005, 7117, 5404, 1012, 2005, 2023, 3114, 1010, 2009, 2003, 16325, 2005, 2033, 2000, 2425, 2065, 2009, 2003, 2428, 8321, 2000, 5025, 7117, 5404, 1012, 3647, 2000, 2360, 1010, 12436, 5051, 3748, 2442, 2031, 2070, 4066, 1997, 3894, 2008, 12939, 2068, 2000, 2501, 26389, 1998, 2404, 2068, 2046, 6381, 20064, 2433, 1012, 26137, 2135, 1010, 2043, 2017, 2202, 1037, 2718, 1997, 7117, 5404, 14257, 1010, 2017, 1520, 1040, 8415, 2008, 8307, 29176, 2041, 2019, 5025, 7117, 5404, 2302, 2017, 4824, 1012, 1011, 1006, 1049, 1009, 1039, 1007, 1016, 1041, 1011, 10869, 1516, 2054, 2001, 3517, 2000, 2022, 1037, 24792, 14894, 1010, 4332, 2041, 2000, 2022, 1037, 9850, 1011, 6949, 1010, 4086, 14894, 1012, 2130, 2061, 1010, 2025, 2919, 1010, 2174, 1010, 2174, 1045, 2001, 2738, 9364, 2144, 1045, 5959, 24792, 2229, 1012, 2057, 2036, 4692, 2023, 14894, 2007, 1037, 3618, 19332, 10196, 3997, 1025, 4298, 1037, 2896, 3997, 2052, 2031, 2042, 2488, 1012, 3432, 3383, 1012, 1011, 5909, 27669, 2015, 1516, 5909, 27669, 2015, 2003, 4089, 1996, 2087, 8321, 5510, 2008, 1045, 1521, 2310, 2412, 2699, 1012, 3322, 1010, 3046, 5128, 4426, 1037, 4605, 1997, 5909, 15932, 1998, 2044, 2008, 2202, 1037, 2718, 1012, 2017, 2052, 2025, 2031, 1996, 3754, 2000, 12367, 2029, 2003, 2029, 1012, 1996, 5510, 2003, 2061, 13544, 8321, 1045, 1521, 1049, 4527, 3423, 2895, 8440, 1521, 1056, 2022, 2641, 2635, 5909, 7077, 1521, 1055, 1523, 3595, 5510, 1012, 1524, 2174, 7592, 1010, 2054, 16958, 2204, 1999, 15077, 1010, 2515, 2025, 9352, 2031, 2000, 5510, 8053, 6581, 2043, 12436, 5669, 1012, 1996, 2200, 2168, 2003, 1996, 2553, 2007, 2023, 5510, 1012, 7297, 1010, 1045, 2228, 2023, 14894, 2001, 2037, 2560, 6581, 2028, 2041, 1997, 1996, 3924, 2057, 4692, 1012, 1011, 22639, 2943, 1516, 22639, 2943, 2003, 1037, 15059, 1997, 1996, 2759, 6841, 2943, 4392, 1012, 2043, 1045, 4692, 2009, 1010, 1045, 24680, 4102, 2068, 1012, 2348, 1996, 1016, 3024, 2367, 3325, 2000, 2026, 5510, 26734, 1010, 1045, 5632, 2068, 6660, 1012, 2035, 1999, 2035, 1010, 1996, 22639, 2943, 2038, 1037, 5664, 9543, 2102, 2000, 2009, 2008, 3084, 2009, 3243, 24820, 1012, 1011, 14590, 7559, 2102, 2026, 16985, 2102, 1041, 1011, 10869, 1516, 2023, 2001, 2026, 3167, 6871, 2011, 2070, 7785, 1012, 1996, 3132, 1011, 3179, 5510, 2001, 4406, 1045, 2031, 2941, 12436, 5669, 2505, 2039, 2127, 2085, 1012, 2034, 1010, 2009, 1521, 1055, 2025, 2205, 4086, 1010, 2664, 2003, 11757, 11937, 21756, 1998, 17087, 1012, 2059, 1010, 2023, 5909, 2100, 5510, 2038, 1037, 9374, 1997, 6949, 1999, 2009, 1998, 3957, 1037, 4010, 3325, 1012, 22267, 1010, 2065, 2017, 2020, 2069, 2000, 3535, 2028, 14894, 2011, 12436, 5051, 3748, 1010, 1045, 2052, 6592, 14590, 7559, 2102, 2026, 16985, 2102, 1012, 2003, 12436, 5051, 3748, 22939, 3401, 3723, 2140, 2489, 2060, 12436, 5051, 3748, 3688, 2027, 2036, 3749, 6581, 8013, 2490, 1998, 2031, 1037, 3528, 1997, 2060, 5167, 1012, 2027, 2421, 8477, 1010, 11753, 4520, 1010, 16913, 2015, 1010, 13787, 17629, 2015, 1010, 1998, 1037, 2846, 1997, 2060, 5167, 1012, 1999, 2804, 1010, 1045, 2036, 3603, 2008, 2027, 3073, 1037, 2079, 2009, 4426, 10869, 2275, 1012, 2023, 2275, 12939, 2017, 2000, 3965, 2242, 2008, 16142, 2115, 3791, 2065, 2027, 2079, 2025, 2031, 2009, 1010, 2029, 2003, 3811, 9832, 1012, 12436, 5051, 3748, 1041, 1011, 10869, 12637, 2096, 12436, 5051, 3748, 2089, 2025, 2022, 1996, 2190, 1041, 1011, 6381, 9338, 1010, 2021, 2045, 2003, 1037, 5387, 2037, 6217, 2038, 2941, 2908, 2083, 1996, 4412, 1012, 2027, 3073, 2070, 1997, 1996, 2087, 8040, 6824, 13876, 6313, 1041, 1011, 10869, 2015, 2012, 5186, 2659, 6165, 1012, 2006, 2327, 1997, 2008, 1010, 2045, 2024, 1037, 2843, 1997, 9804, 2000, 3167, 4697, 1998, 4666, 2115, 1041, 1011, 10869, 1012, 1999, 7091, 1010, 2065, 2017, 4033, 1521, 1056, 3641, 2013, 12436, 5051, 3748, 2077, 1010, 1045, 3811, 16755, 2008, 2017, 2079, 1998, 2017, 2097, 2025, 2022, 9364, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 2330, 3229, 2300, 1998, 18723, 6502, 2005, 2740, 1024, 1996, 4254, 1997, 3097, 4681, 24370, 1998, 2740, 6767, 12942, 2063, 1020, 1010, 3720, 2193, 1024, 2260, 1006, 2230, 1007, 1996, 23661, 2000, 5301, 2300, 1998, 18723, 2038, 2042, 5319, 2004, 1037, 10232, 7337, 2000, 3828, 16725, 1998, 2336, 2013, 1996, 15316, 2740, 13105, 3378, 2007, 22939, 12171, 20192, 2140, 4295, 1012, 2023, 3716, 25194, 1996, 4969, 15009, 2451, 2000, 4503, 1037, 3563, 4696, 1997, 4681, 6461, 2012, 1996, 2300, 1998, 18723, 4753, 1012, 1996, 5025, 4254, 1997, 2023, 5375, 2006, 4852, 2313, 3229, 2000, 5301, 2300, 1998, 18723, 1998, 8161, 2775, 13356, 2038, 2025, 2042, 8920, 1012, 2057, 2864, 1037, 2406, 1011, 2504, 4106, 1997, 1996, 3276, 2090, 2300, 1998, 18723, 4351, 2880, 2458, 5375, 1006, 1059, 4757, 1011, 1051, 2850, 1007, 2566, 8353, 1010, 2300, 1998, 18723, 6325, 1010, 1998, 10527, 1998, 2775, 13356, 1999, 2659, 1011, 3318, 3032, 2004, 4225, 2011, 1996, 2088, 2924, 1012, 2057, 4208, 2256, 9934, 2000, 4681, 12353, 2144, 1996, 5069, 1997, 1996, 10144, 2458, 3289, 1006, 9108, 5620, 1007, 1012, 3229, 2000, 5301, 2300, 2038, 10862, 5301, 2144, 2526, 1012, 3032, 4909, 1996, 2087, 1059, 4757, 1011, 1051, 2850, 15844, 2013, 10238, 21879, 1997, 1018, 2000, 2324, 2335, 2062, 3497, 2084, 3032, 1999, 1996, 7290, 28774, 15286, 1997, 5375, 2000, 6162, 3618, 12154, 1999, 2313, 3229, 2000, 5301, 2300, 4425, 1012, 2174, 1010, 2096, 2045, 2020, 10754, 2135, 3445, 10238, 1997, 18723, 3229, 1010, 2122, 2020, 4321, 2512, 1011, 3278, 1012, 1996, 3032, 2007, 4602, 12154, 1999, 18723, 2020, 1022, 1011, 1023, 2335, 2062, 3497, 2000, 2031, 3618, 25006, 1999, 10527, 1998, 2775, 13356, 1012, 2880, 2458, 5375, 2003, 14780, 4254, 2075, 3229, 2000, 3647, 2300, 1010, 2664, 3229, 2000, 5301, 18723, 3464, 3532, 1012, 2023, 11637, 1996, 2342, 2005, 3247, 1011, 11153, 2000, 2022, 2062, 21249, 2007, 2035, 27483, 1059, 4757, 1011, 1051, 2850, 2875, 18723, 3934, 1012, 4969, 1010, 2324, 1003, 1997, 2035, 6677, 1999, 2336, 2104, 2274, 2024, 2349, 2000, 22939, 12171, 20192, 2140, 7870, 1010, 9529, 2005, 3155, 1015, 1012, 1018, 2454, 6677, 2566, 2095, 1012, 2023, 3084, 22939, 12171, 20192, 2140, 7870, 1037, 2877, 3426, 1997, 2775, 2331, 16452, 1031, 1015, 1010, 1016, 1033, 1012, 1996, 2087, 2691, 3426, 1997, 22939, 12171, 20192, 2140, 7870, 3463, 2013, 3806, 13181, 18447, 19126, 15245, 1031, 1017, 1010, 1018, 1033, 1012, 1996, 3484, 1997, 22939, 12171, 20192, 2140, 6677, 1999, 2336, 2024, 2349, 2000, 1996, 3279, 1997, 2312, 12450, 1997, 2300, 1998, 16175, 2135, 4570, 1006, 13365, 1010, 19057, 1998, 18044, 1007, 2083, 6381, 14708, 1010, 4525, 1999, 5729, 2139, 10536, 7265, 3508, 1998, 5648, 12650, 1012, 2144, 22939, 12171, 20192, 2140, 7870, 2024, 3952, 3659, 2083, 1996, 17282, 9289, 1011, 8700, 2799, 1010, 4652, 3512, 5761, 2421, 9229, 3229, 2000, 3647, 5948, 2300, 1998, 11706, 18723, 1012, 7272, 3741, 1998, 2248, 4230, 2034, 2211, 2640, 5844, 5375, 2005, 2300, 1998, 18723, 4919, 2083, 1996, 2088, 2924, 1999, 3777, 1012, 1996, 2381, 1997, 2458, 5375, 1999, 1996, 2300, 1998, 18723, 4753, 1010, 22539, 2011, 25242, 1998, 2500, 1010, 2950, 5211, 1999, 2326, 9347, 1998, 6502, 1010, 1998, 2003, 4417, 2011, 3365, 2248, 9281, 1998, 8170, 2015, 1010, 4800, 28277, 13296, 6624, 1010, 1996, 2248, 5948, 2300, 4425, 1998, 18723, 5476, 1006, 4134, 1007, 1010, 1998, 1996, 4325, 1997, 2300, 2551, 2967, 1010, 10784, 1010, 1998, 13797, 1031, 1020, 1516, 2340, 1033, 1012, 1999, 2456, 1010, 1996, 10144, 2458, 3289, 1006, 9108, 5620, 1007, 1010, 2020, 2764, 2004, 1037, 2126, 2000, 4009, 3086, 2000, 3795, 2740, 1998, 2591, 3425, 3314, 1998, 5468, 3795, 5082, 2006, 2122, 3289, 1012, 4539, 2176, 2104, 3125, 1021, 2003, 2000, 1000, 11085, 3726, 1010, 2011, 2325, 1010, 1996, 10817, 1997, 1996, 2313, 2302, 9084, 3229, 2000, 3647, 5948, 2300, 1998, 3937, 18723, 1000, 1012, 3125, 1018, 2003, 2000, 1000, 5547, 2011, 2048, 1011, 12263, 1010, 1996, 2104, 1011, 2274, 13356, 3446, 1000, 1012, 1996, 9886, 1997, 1996, 9108, 5620, 2089, 1999, 2112, 4863, 1996, 3623, 1999, 6931, 2458, 5375, 1006, 1051, 2850, 1007, 2000, 2058, 1019, 2335, 2008, 1997, 2901, 3798, 1012, 2913, 2006, 4681, 12353, 2031, 2042, 3816, 1012, 2087, 2031, 9411, 2007, 1996, 3276, 2090, 1051, 2850, 1998, 3171, 3930, 1031, 2403, 1516, 2385, 1033, 1996, 3466, 1997, 16014, 8010, 1998, 4681, 16913, 23732, 1031, 2324, 1010, 2539, 1033, 2006, 2458, 1012, 2062, 3728, 2070, 2031, 8920, 1996, 12353, 1997, 3097, 4681, 1999, 5635, 7312, 1998, 2529, 2458, 1031, 2322, 1516, 2570, 1033, 1012, 2069, 2028, 2817, 2038, 2246, 2012, 4681, 12353, 1998, 2313, 3229, 2000, 2300, 1998, 18723, 1010, 2295, 2004, 2112, 1997, 1037, 7705, 12843, 2270, 2326, 6959, 1999, 2236, 1012, 2256, 6614, 2001, 2000, 4919, 11628, 1996, 3276, 2090, 2566, 8353, 1051, 2850, 4351, 2000, 1996, 2300, 1998, 18723, 1010, 1996, 2689, 1999, 2313, 3229, 2000, 5301, 2300, 1998, 18723, 2578, 1010, 1998, 4745, 20390, 1997, 2775, 2740, 1012, 2817, 2640, 1998, 11581, 2063, 2256, 2817, 2003, 1037, 2406, 1011, 2504, 4106, 1997, 1996, 3276, 2090, 4487, 19022, 28393, 8163, 1997, 2880, 2458, 5375, 1006, 1051, 2850, 1007, 2566, 8353, 1010, 5301, 2300, 1998, 18723, 6325, 1010, 1998, 10527, 1998, 2775, 13356, 2144, 1996, 5069, 1997, 1996, 9108, 5620, 1012, 4487, 19022, 28393, 2094, 1051, 2850, 2001, 4217, 2144, 5763, 1051, 2850, 2038, 2025, 2664, 2018, 1996, 3382, 2000, 3466, 2689, 1012, 3032, 2443, 1999, 2023, 4106, 2020, 1996, 4749, 2659, 1011, 3318, 18730, 1997, 1996, 2088, 2004, 4225, 2011, 1996, 2088, 2924, 1012, 3053, 3963, 3867, 1997, 1996, 3032, 2024, 1999, 3088, 1012, 1996, 2659, 1011, 3318, 2406, 4696, 2001, 4217, 2138, 1997, 3517, 2659, 3798, 1997, 2300, 1998, 18723, 1011, 3141, 6502, 1998, 2152, 18050, 1997, 1051, 2850, 1012, 2035, 2443, 3032, 2018, 2951, 2005, 2300, 1998, 18723, 3229, 1998, 1051, 2850, 1012, 2035, 1051, 2850, 6747, 2005, 1996, 2086, 2526, 1011, 2294, 2020, 23184, 2013, 1996, 3029, 2005, 3171, 6792, 1998, 2458, 4923, 2953, 7316, 2291, 7809, 1012, 2951, 2006, 6325, 1997, 3647, 2300, 1998, 18723, 2005, 1996, 9108, 5620, 2001, 5935, 2013, 1996, 2880, 2142, 3741, 2609, 2005, 1996, 9108, 2290, 20390, 2005, 2456, 1998, 2294, 1012, 2122, 2951, 2272, 2013, 1996, 2040, 1013, 29073, 4101, 8822, 4746, 1010, 2029, 2038, 3563, 15182, 2005, 5301, 2300, 4425, 1998, 18723, 4128, 1012, 2019, 5301, 2300, 4425, 2003, 4225, 2004, 2151, 1997, 1996, 2206, 4216, 1024, 8667, 2094, 2300, 2046, 1037, 13160, 1010, 5436, 1010, 2030, 4220, 1025, 2270, 11112, 2030, 3233, 24548, 1025, 7270, 4381, 2030, 8501, 11484, 1025, 5123, 8655, 2092, 1025, 5123, 3500, 1025, 2030, 4542, 5880, 1012, 7047, 2008, 7515, 2004, 5301, 18723, 2024, 1024, 13862, 2030, 10364, 1011, 13862, 21674, 4198, 2000, 1037, 22365, 2030, 17419, 2594, 4951, 1010, 6770, 2474, 18886, 5267, 1010, 18834, 11733, 3064, 5301, 6770, 2474, 18886, 5267, 1010, 6770, 2474, 18886, 5267, 2007, 1037, 17584, 1010, 1998, 4012, 19894, 2075, 21674, 1012, 2009, 2323, 2022, 3264, 2008, 2144, 2456, 1010, 1996, 4101, 8822, 4746, 2038, 2109, 3674, 2313, 1011, 2241, 12265, 2738, 2084, 10035, 1997, 6325, 2011, 2326, 11670, 1010, 1998, 5300, 2024, 5173, 2013, 26237, 4106, 2000, 2507, 1996, 2190, 10197, 1997, 6325, 1999, 1037, 2309, 2095, 1012, 10527, 13356, 3446, 1006, 10047, 2099, 1007, 1998, 2775, 13356, 3446, 1006, 4642, 2099, 1007, 4481, 2020, 23184, 2013, 1996, 2088, 2740, 3029, 7778, 2592, 2291, 1006, 2040, 6190, 1007, 1012, 1996, 10047, 2099, 1998, 4642, 2099, 2951, 2020, 5935, 2005, 1996, 2086, 2456, 1998, 2294, 1012, 1996, 10047, 2099, 1998, 4642, 2099, 20390, 2020, 4217, 2005, 2775, 2740, 13105, 2349, 2000, 1996, 3768, 1997, 2119, 26163, 1006, 2095, 2456, 2030, 2077, 1007, 1998, 2062, 3522, 1006, 2044, 2095, 2456, 1007, 2951, 2685, 2005, 22939, 12171, 14490, 2389, 1011, 3563, 2331, 6165, 1012, 2057, 5935, 2592, 2006, 4022, 9530, 14876, 20824, 2015, 1998, 3466, 16913, 28295, 2013, 2536, 4216, 1012, 2406, 2313, 1010, 7977, 4968, 4031, 1006, 14230, 1007, 1998, 2740, 20700, 6747, 2024, 23184, 2013, 2040, 6190, 1012, 2005, 2313, 1998, 14230, 1010, 1996, 6745, 2800, 6747, 2024, 2109, 1012, 2740, 20700, 2951, 2001, 5067, 2005, 1996, 2086, 2456, 1011, 2294, 2005, 2035, 3032, 3272, 15786, 1998, 14717, 1012, 2057, 23184, 7897, 10617, 5950, 2951, 2005, 4724, 1997, 1996, 3032, 1999, 2256, 7099, 2013, 1996, 16987, 2248, 3296, 5002, 2005, 2294, 1012, 1996, 5950, 3594, 1037, 4094, 1997, 2028, 2000, 2702, 1010, 2007, 2028, 2108, 1996, 2087, 13593, 1012, 2057, 5067, 2951, 2006, 2455, 2181, 6747, 2005, 2035, 4749, 3032, 2013, 1996, 2149, 2430, 4454, 4034, 2088, 2755, 8654, 1012, 19158, 10857, 2020, 2443, 1999, 1996, 26237, 19518, 1998, 10238, 6463, 16268, 1010, 2004, 9675, 1999, 1996, 2951, 7251, 1012, 2057, 10174, 1996, 2689, 1999, 3229, 2000, 5301, 2300, 1998, 18723, 2004, 1996, 4489, 1999, 3867, 6325, 2090, 2456, 1998, 2294, 1012, 7509, 21269, 1998, 26927, 12273, 15457, 2001, 12421, 2013, 1996, 4106, 2349, 2000, 2019, 2012, 22571, 15004, 2152, 18050, 1997, 1051, 2850, 1999, 2526, 1998, 2494, 1010, 2029, 2081, 1996, 1051, 2850, 2566, 8353, 2041, 1997, 1996, 2846, 1997, 1996, 2060, 3032, 2349, 2000, 2037, 2235, 7080, 1012, 2048, 5300, 1997, 2689, 1999, 13105, 1006, 2300, 6325, 1010, 18723, 6325, 1010, 10047, 2099, 1010, 1998, 4642, 2099, 1007, 2020, 10174, 1010, 8419, 7619, 2689, 1998, 5816, 2689, 1012, 1996, 7619, 2689, 2001, 10174, 3432, 2011, 4942, 6494, 11873, 1996, 3643, 1999, 2456, 2013, 1996, 3643, 1999, 2294, 1012, 1996, 5816, 2689, 2001, 10174, 2011, 2635, 1996, 7619, 2689, 1998, 16023, 2011, 1996, 2456, 26163, 3643, 1012, 4983, 4728, 3090, 1010, 1996, 5300, 3591, 2024, 5816, 2689, 1012, 10857, 2020, 14155, 2005, 3671, 3012, 1010, 1998, 2179, 1999, 2236, 2000, 2031, 15315, 7974, 2098, 20611, 1012, 2947, 1010, 12341, 2386, 4635, 16902, 21374, 2020, 4663, 2000, 6709, 7778, 2135, 3278, 6550, 2090, 10857, 1012, 2000, 14358, 1996, 8924, 2090, 10857, 1997, 3037, 1010, 14477, 2094, 29427, 2098, 1998, 10426, 10238, 21879, 1998, 5345, 1003, 7023, 14025, 2020, 4358, 2011, 4895, 8663, 27064, 8833, 6553, 26237, 1012, 1996, 2158, 9834, 1011, 5292, 6132, 12638, 28093, 6553, 1998, 1996, 7987, 2229, 8261, 1011, 2154, 3231, 2005, 24004, 6914, 20175, 2100, 1997, 1996, 10238, 6463, 2020, 2109, 2000, 14358, 4022, 9530, 14876, 8630, 2075, 1012, 2478, 2122, 3463, 1010, 2057, 10426, 2005, 2181, 1998, 2406, 2313, 2478, 8833, 6553, 26237, 1012, 2057, 2109, 1016, 1011, 11536, 1052, 1011, 5300, 1998, 2035, 1052, 1011, 5300, 2024, 6635, 1012, 2035, 7778, 4106, 2001, 2864, 2478, 7778, 4106, 4007, 1006, 21871, 1007, 1023, 1012, 1015, 1012, 2182, 2009, 2323, 2022, 3264, 2008, 1996, 28616, 18900, 2818, 1999, 2086, 2090, 1051, 2850, 1998, 13105, 1006, 2300, 1998, 18723, 6325, 1010, 1998, 10047, 2099, 1013, 4642, 2099, 1007, 1010, 2295, 2025, 7812, 1010, 2515, 2025, 11265, 5867, 1996, 9556, 1997, 2023, 4106, 1012, 1996, 2095, 2456, 2001, 1996, 7541, 2095, 2800, 2000, 1996, 2927, 1997, 1996, 1051, 2850, 2951, 2005, 9560, 10857, 1010, 1998, 2947, 2003, 2641, 2004, 1037, 26163, 3643, 1012, 4106, 7679, 2006, 1996, 7619, 2030, 5816, 2689, 1999, 13105, 1999, 7189, 2000, 1051, 2850, 6223, 1012, 2035, 2086, 1997, 1051, 2850, 2024, 4102, 14258, 2000, 1996, 2689, 1999, 13105, 2090, 2456, 1998, 2294, 2000, 3535, 2000, 24110, 27351, 1996, 2779, 2474, 2290, 1999, 3466, 2090, 1051, 2850, 6959, 1998, 2689, 1999, 9560, 1012, 3032, 9426, 6551, 1999, 2455, 2181, 1010, 1998, 1999, 2561, 2300, 1998, 18723, 4351, 2880, 2458, 5375, 1006, 1059, 4757, 1011, 1051, 2850, 1007, 2363, 1010, 2004, 21328, 2011, 1996, 5966, 2090, 3991, 2015, 1998, 2037, 7978, 2965, 1012, 1999, 2236, 1010, 1059, 4757, 1011, 1051, 2850, 2038, 13763, 11328, 2090, 2526, 1998, 2294, 1012, 3452, 7457, 1999, 2300, 1998, 18723, 6325, 4077, 17913, 1999, 10047, 2099, 1998, 4642, 2099, 2020, 5159, 2090, 2456, 1998, 2294, 1012, 1037, 12654, 1997, 2951, 2005, 5067, 10857, 2003, 6913, 1999, 2795, 1015, 1012, 7778, 2135, 3278, 16902, 2015, 1006, 2795, 1016, 1007, 2020, 5159, 2005, 2035, 2086, 1997, 1059, 4757, 1011, 1051, 2850, 2566, 8353, 1998, 1996, 2689, 1999, 2300, 3229, 3272, 2005, 2384, 1998, 2294, 1010, 2007, 1996, 10473, 16902, 10066, 2005, 1051, 2850, 2445, 1999, 2432, 1006, 1052, 1027, 1014, 1012, 4002, 2549, 1007, 1012, 5875, 2135, 1010, 1996, 2689, 1999, 3229, 2000, 18723, 2001, 19762, 3378, 2007, 1996, 2566, 8353, 2231, 2740, 20700, 1999, 2294, 1006, 1052, 1027, 1014, 1012, 6185, 2629, 1007, 1012, 1999, 3572, 2073, 2053, 16902, 2001, 5159, 1010, 2057, 3685, 16519, 2008, 2045, 2003, 5262, 2053, 2995, 2523, 2349, 2000, 1996, 22718, 2006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3604, 1999, 12899, 1516, 3675, 3902, 8040, 3286, 5193, 8040, 13596, 3604, 1999, 12899, 3604, 1999, 12899, 2064, 2022, 24026, 1012, 15183, 2064, 2022, 24929, 2046, 7079, 2062, 2769, 1998, 2009, 1521, 1055, 2025, 6504, 2008, 2003, 4786, 1996, 3291, 1012, 1996, 8040, 13596, 2031, 2042, 2183, 2006, 2005, 1037, 2146, 2051, 1998, 1996, 24417, 2231, 2003, 2725, 2498, 2000, 20099, 12502, 1996, 3291, 1012, 2138, 1997, 2023, 12899, 2038, 2019, 3746, 3291, 1012, 15183, 2113, 2055, 8040, 13596, 1010, 2021, 2025, 1996, 4751, 1998, 2064, 2145, 2131, 3236, 2039, 1012, 1996, 8040, 13596, 2024, 2036, 2904, 2061, 2008, 15183, 2228, 2027, 2113, 2054, 2015, 2183, 2006, 2021, 2203, 2039, 24929, 1012, 2023, 3675, 8040, 3286, 2003, 2145, 2108, 2109, 2021, 2070, 1997, 1996, 5193, 3316, 2109, 2043, 2183, 2013, 6504, 2000, 12899, 1012, 2027, 2024, 1999, 2006, 2009, 1999, 2026, 5448, 1012, 2060, 8040, 13596, 2024, 2041, 2045, 2205, 2011, 11228, 2075, 2111, 2011, 11226, 2075, 2068, 2030, 2437, 1996, 2711, 2903, 2027, 2097, 2022, 6022, 8394, 1012, 3191, 2006, 1998, 2424, 2041, 2129, 2027, 2089, 8040, 3286, 2017, 2043, 2017, 2202, 1037, 3902, 2000, 2892, 1996, 6504, 3675, 2000, 12899, 1012, 2917, 2024, 2048, 2613, 2166, 3441, 1010, 1996, 2034, 2466, 3047, 2000, 2033, 1012, 2009, 3047, 2043, 1045, 2018, 2000, 2681, 6504, 2000, 2175, 2000, 12899, 2138, 2026, 6504, 9425, 13735, 1012, 6504, 3675, 3902, 8040, 3286, 2023, 2003, 2129, 1996, 12899, 3675, 3902, 8040, 3286, 2573, 1012, 2000, 2681, 6504, 2017, 4965, 1037, 3902, 7281, 2013, 1037, 3604, 4005, 2030, 3622, 2013, 3902, 2276, 1006, 1045, 16755, 3902, 2276, 1007, 2008, 2097, 2202, 2017, 3081, 7163, 1011, 3158, 2030, 3902, 2000, 1999, 2023, 2553, 1996, 3675, 2237, 1997, 13433, 2666, 2102, 12899, 1012, 1006, 2178, 2126, 2003, 2011, 3345, 1998, 2059, 3902, 2012, 12899, 1010, 2021, 2023, 3720, 2003, 2055, 3902, 5193, 1012, 1007, 1045, 5412, 5193, 2083, 1037, 3604, 4005, 1010, 6429, 2088, 3604, 1004, 2778, 1999, 12627, 1012, 2065, 2017, 2175, 2000, 1996, 3902, 2276, 1010, 2017, 2031, 2000, 2424, 1996, 2276, 2021, 2008, 2003, 3733, 2000, 2131, 2000, 2011, 10095, 1012, 2054, 2017, 3828, 2006, 1996, 3604, 4005, 7408, 2097, 3104, 2115, 10095, 3465, 2004, 2146, 2004, 2017, 3198, 1996, 10095, 2000, 2224, 2037, 8316, 1012, 2111, 2066, 2000, 2079, 2009, 1996, 3733, 2126, 1010, 2008, 2003, 2339, 2045, 2024, 2061, 2116, 3604, 6074, 1999, 12627, 1012, 1996, 7597, 8137, 2090, 3604, 6074, 1010, 1998, 2411, 2017, 2424, 3243, 1037, 2261, 4822, 1999, 1037, 6813, 2181, 1999, 2029, 2017, 2064, 3328, 2105, 1998, 12826, 7597, 1012, 1996, 3604, 6074, 2064, 2411, 3437, 2115, 3980, 2055, 5193, 2030, 1037, 7538, 2181, 1010, 1998, 13621, 2005, 2115, 5193, 1012, 2009, 1521, 1055, 2788, 2025, 2183, 2000, 3465, 2017, 2205, 2172, 2062, 2769, 2084, 2725, 2009, 4426, 1010, 9041, 2006, 1996, 3604, 4034, 1012, 3604, 6074, 2411, 3715, 1037, 2843, 2062, 2769, 2065, 2027, 2224, 1996, 2773, 2778, 1012, 2059, 2017, 2031, 2000, 2156, 2054, 2027, 3749, 2005, 1996, 4469, 2769, 1012, 3198, 2055, 2119, 1010, 3622, 5193, 2000, 2115, 7688, 1998, 2055, 2778, 14555, 2061, 2017, 2064, 3648, 2005, 4426, 1996, 3976, 5966, 1998, 2054, 2017, 4374, 2005, 2115, 2769, 1012, 6504, 3675, 3902, 8040, 3286, 1516, 1996, 3675, 8040, 3286, 2208, 4553, 2129, 1996, 6504, 3675, 3902, 8040, 13596, 2024, 2209, 2041, 2013, 2026, 3325, 2043, 1045, 6158, 2000, 12899, 1010, 1998, 1996, 3325, 2013, 2178, 20174, 2011, 1996, 2171, 2198, 1012, 2017, 2024, 4994, 2023, 2034, 2192, 2013, 2119, 1997, 2149, 1010, 2057, 2169, 2018, 3584, 18949, 2015, 2008, 22667, 2007, 3902, 5193, 1012, 2119, 2198, 1998, 1045, 2020, 2006, 3584, 9109, 1010, 1998, 2057, 2119, 2109, 1037, 2367, 3604, 4005, 1012, 2045, 2003, 2053, 2126, 2000, 2113, 2065, 1996, 21725, 6074, 2020, 2920, 2030, 2025, 1999, 2122, 8040, 13596, 1010, 2021, 2023, 2003, 6504, 1010, 2505, 3632, 2182, 1010, 3422, 2115, 2067, 2043, 2009, 3310, 2000, 2449, 1012, 2026, 3604, 4005, 1010, 6429, 2088, 3604, 1004, 2778, 5412, 1037, 7163, 1011, 3158, 2000, 4060, 2033, 2039, 2485, 2000, 2026, 3309, 2005, 5193, 2035, 1996, 2126, 2013, 12627, 2000, 9033, 6633, 2128, 9331, 1012, 2053, 3471, 2127, 2057, 2288, 2485, 2000, 1996, 24417, 3675, 1012, 6504, 3675, 3902, 8040, 3286, 1996, 7163, 6212, 1045, 2001, 1999, 3030, 2055, 1037, 3542, 2030, 2048, 2013, 1996, 24417, 3675, 2006, 1996, 6504, 2217, 1012, 2027, 8620, 2149, 2000, 2019, 2181, 2073, 2017, 2064, 9483, 1998, 4521, 2065, 2017, 2052, 2066, 1012, 2023, 2941, 7126, 2068, 4287, 2041, 1996, 8040, 3286, 2138, 2017, 2292, 2115, 3457, 2091, 1012, 2017, 2514, 8363, 2127, 2027, 2707, 14443, 2017, 2013, 2028, 2178, 1010, 2788, 2011, 2115, 7688, 1012, 2027, 8620, 2017, 1998, 2017, 1521, 2128, 7118, 7452, 2046, 2019, 2436, 2073, 2017, 3113, 1037, 2158, 2369, 1037, 4624, 1012, 2027, 3198, 2005, 2115, 12293, 2000, 2156, 2073, 2017, 2024, 2013, 1012, 2009, 2035, 3849, 2200, 2880, 1010, 2017, 2428, 2123, 1521, 1056, 2113, 2040, 2122, 2273, 2024, 1012, 8317, 2135, 1010, 2043, 2027, 3584, 2017, 1010, 2017, 2514, 8211, 1012, 2036, 1010, 2144, 2045, 2003, 2019, 4242, 2711, 2369, 1037, 4624, 4851, 2017, 3980, 1010, 2017, 8100, 2514, 2066, 2008, 2711, 2038, 2035, 1996, 2373, 1012, 2009, 1521, 1055, 1037, 3019, 12753, 1012, 2022, 5204, 1998, 2123, 1521, 1056, 2022, 28028, 1012, 2027, 2377, 2373, 2449, 9887, 2066, 6221, 8398, 2052, 1999, 1996, 2353, 2088, 1012, 2043, 2027, 2716, 2033, 2046, 1996, 2436, 2027, 2409, 2033, 2000, 2191, 1996, 2832, 5744, 2121, 1010, 1045, 2734, 2000, 3477, 2068, 2019, 3176, 5141, 8670, 11039, 1006, 1996, 3815, 9783, 1007, 1010, 1998, 1045, 2064, 2175, 2083, 1996, 3675, 2832, 5514, 2302, 2151, 2038, 25016, 1012, 2008, 3815, 2003, 3155, 1002, 3438, 2149, 6363, 2029, 2003, 3243, 1037, 2978, 6195, 2009, 1521, 1055, 2062, 2059, 1996, 2434, 3902, 13258, 1997, 2055, 1002, 2260, 2149, 1012, 2027, 2409, 2033, 2065, 1045, 2134, 1521, 1056, 3477, 1010, 1045, 2001, 2183, 2000, 2022, 2006, 1996, 2197, 3902, 2000, 9033, 6633, 2128, 9331, 1006, 2026, 7688, 1007, 2065, 1045, 2001, 5341, 1012, 1045, 2409, 2068, 2053, 1010, 2065, 2008, 2001, 1996, 2553, 2059, 1045, 2052, 2022, 2006, 1996, 2197, 3902, 1012, 2066, 1045, 3855, 1010, 1045, 2018, 3191, 2055, 2023, 2077, 1998, 2787, 2043, 2017, 3604, 1010, 2045, 2024, 4297, 2239, 8159, 13684, 2015, 2008, 2017, 2031, 2000, 2404, 2039, 2007, 1012, 2027, 13127, 2033, 2000, 1037, 7163, 3158, 2000, 2202, 2033, 2000, 1996, 3675, 1012, 1999, 1996, 7163, 6212, 2020, 2111, 2074, 2066, 2033, 2008, 2018, 2056, 2053, 1012, 2057, 2035, 2938, 2045, 1037, 2096, 1998, 2044, 1037, 2096, 2178, 2158, 16826, 2010, 2132, 1999, 1998, 2435, 2009, 2178, 3046, 2000, 2156, 2065, 2057, 2018, 2904, 2256, 9273, 1012, 2057, 2106, 2025, 1012, 2320, 2057, 2288, 2000, 1996, 24417, 3675, 1010, 2009, 2001, 1037, 3671, 2832, 1012, 2009, 2106, 2025, 3043, 2065, 2017, 3825, 2068, 1996, 4469, 2769, 2030, 2025, 1010, 3071, 2253, 2083, 1996, 2168, 2832, 1012, 2044, 11381, 2026, 9425, 2013, 1996, 24417, 7521, 2111, 1010, 1045, 4741, 2007, 1996, 2177, 1997, 2111, 2040, 2106, 2025, 3477, 4469, 1012, 2059, 1045, 2318, 2000, 5060, 2060, 2235, 2967, 2013, 2256, 2434, 3902, 1012, 2122, 2020, 1996, 2111, 2040, 3825, 2005, 5514, 2326, 1012, 2035, 1997, 2149, 1056, 2187, 2006, 2051, 2362, 1010, 2053, 2028, 2081, 2009, 2041, 5514, 2030, 6082, 999, 7079, 2068, 2081, 2053, 4489, 1010, 2009, 2001, 2035, 1037, 5679, 2000, 2202, 2769, 2013, 7036, 15183, 1012, 2023, 2347, 1521, 1056, 1996, 2197, 3902, 2041, 2593, 1012, 1045, 1521, 1049, 2025, 3038, 2023, 4332, 2041, 2023, 2126, 2035, 1996, 2051, 1010, 2021, 2009, 2106, 2005, 2033, 1998, 1996, 2717, 1997, 2026, 2512, 1011, 7079, 2177, 1010, 2040, 4188, 2000, 3477, 1996, 4469, 2769, 1012, 2045, 2024, 2053, 21586, 1010, 2021, 2008, 2003, 2112, 1997, 1996, 12665, 9887, 2027, 2377, 2006, 2017, 1012, 1045, 2001, 4810, 2000, 2994, 2012, 1996, 3902, 2276, 1010, 1998, 2009, 2071, 2031, 2357, 2041, 2008, 2126, 1010, 2021, 2009, 2001, 1037, 8040, 3286, 1012, 2101, 2043, 1045, 2513, 2000, 12627, 1010, 1045, 2253, 2000, 6429, 2088, 3604, 1004, 2778, 4822, 1012, 2027, 6051, 2066, 2053, 2028, 3764, 2394, 1012, 2995, 2030, 2025, 1010, 1045, 2288, 2053, 3437, 2055, 2054, 2018, 3047, 1012, 1996, 2592, 2917, 2003, 2013, 2178, 20174, 2011, 1996, 2171, 2198, 2040, 2036, 2253, 2011, 3902, 2000, 12899, 1012, 2002, 2626, 2000, 2033, 3081, 2026, 2932, 3604, 14876, 7716, 20192, 24658, 1012, 4012, 4037, 1012, 10373, 4471, 2013, 2585, 2055, 6504, 3675, 8040, 3286, 1024, 2204, 5027, 2726, 1024, 2026, 2767, 1998, 1045, 17414, 1037, 10095, 1998, 2778, 3902, 2067, 2000, 6887, 5358, 6887, 2368, 2013, 1996, 3309, 5292, 9397, 3695, 3604, 4005, 2012, 1996, 9568, 999, 999, 999, 999, 999, 999, 1996, 2279, 2851, 1045, 2001, 2356, 2005, 3263, 2062, 28516, 2015, 2005, 5514, 15488, 14573, 2121, 4536, 2000, 1996, 3902, 999, 999, 999, 2893, 2000, 3902, 2276, 2057, 2020, 2445, 1016, 2047, 9735, 1998, 6694, 28516, 2000, 2131, 1037, 2367, 3902, 2012, 1996, 3675, 1529, 1012, 2256, 3902, 2000, 1996, 3675, 2001, 1996, 10095, 3902, 2008, 3030, 2035, 2058, 8130, 2039, 1998, 7510, 2125, 2111, 1529, 1012, 1012, 2059, 2012, 1996, 3675, 2027, 2074, 4191, 1998, 2165, 2149, 2000, 1037, 10095, 2008, 5338, 2149, 11212, 2692, 28516, 2000, 2131, 2000, 6887, 3630, 2213, 6887, 2368, 1024, 1024, 1024, 1024, 1024, 1045, 3246, 2017, 2131, 2023, 2574, 1998, 2064, 3198, 1996, 3604, 4005, 2129, 2002, 25126, 2012, 2305, 999, 999, 999, 999, 4067, 2017, 2005, 2115, 2051, 2909, 999, 999, 999, 3246, 2000, 2831, 2574, 1998, 2001, 2307, 22331, 2007, 2017, 1024, 1024, 25664, 2585, 2013, 2585, 1521, 1055, 7339, 2002, 2001, 2187, 2152, 1998, 4318, 1998, 2018, 2000, 3477, 2119, 2335, 1012, 2005, 1996, 5193, 2000, 1996, 3902, 2013, 1996, 3309, 1010, 1998, 5193, 2044, 5153, 1996, 24417, 3675, 2000, 1052, 3630, 2213, 6887, 2368, 1012, 1045, 2071, 1521, 1056, 2360, 2028, 2126, 2030, 2178, 2065, 2009, 2001, 2035, 2275, 2039, 2011, 1996, 3604, 4005, 2030, 2025, 1012, 1045, 2106, 4357, 1996, 3604, 4005, 2044, 1045, 2363, 2198, 1521, 1055, 10373, 1012, 1996, 3604, 4005, 2056, 2009, 2071, 4148, 2144, 2585, 2106, 2025, 3477, 4469, 2005, 3622, 5193, 1012, 2320, 2017, 2681, 1996, 2434, 3902, 1010, 2009, 1521, 1055, 2041, 1997, 2037, 2398, 1012, 2073, 2024, 1996, 2449, 9615, 1029, 2009, 2071, 2022, 1996, 3604, 4005, 9471, 2000, 2425, 2585, 2055, 1996, 4469, 7408, 2002, 3825, 2000, 2131, 2000, 1996, 3902, 1010, 2030, 2045, 2001, 1037, 2653, 8803, 1012, 2021, 1045, 2036, 2903, 2045, 2323, 2022, 1037, 3642, 1997, 9615, 2182, 1012, 2065, 1996, 3604, 4005, 2081, 1996, 6512, 1010, 2027, 2323, 2022, 3625, 2005, 1996, 2353, 4243, 2040, 2027, 2224, 2000, 2131, 2037, 8013, 2000, 2037, 7688, 1012, 2027, 2790, 4986, 1010, 2021, 2025, 4986, 2438, 2000, 2425, 2033, 2027, 2020, 2183, 2000, 2079, 2505, 2055, 2009, 1012, 1045, 2123, 1521, 1056, 2113, 2065, 6504, 6813, 2533, 2428, 14977, 1012, 2065, 2027, 2106, 2017, 2052, 2228, 2008, 2027, 2052, 2610, 2023, 2785, 1997, 2326, 2005, 1996, 8739, 1997, 6813, 1999, 6504, 1012, 2023, 2003, 1037, 3376, 2406, 1998, 2130, 2007, 2023, 2785, 1997, 2518, 2183, 2006, 1010, 2111, 2024, 2145, 2183, 2000, 2272, 2182, 1012, 2025, 2035, 8040, 13596, 2024, 1996, 2168, 2122, 8040, 3286, 3324, 2031, 3971, 2000, 5278, 2039, 1996, 8040, 3286, 1010, 2021, 2009, 1521, 1055, 2467, 2055, 10819, 7630, 4667, 2017, 1998, 4526, 4797, 2000, 1037, 2391, 2073, 2017, 2707, 8929, 2045, 2003, 2069, 2028, 2126, 2000, 2079, 2131, 2041, 1997, 1996, 3663, 1012, 2115, 5881, 1998, 2017, 2442, 3477, 2039, 1010, 2030, 2017, 2097, 2022, 15577, 1010, 2030, 8394, 2005, 1037, 2146, 2051, 1012, 1045, 2903, 2008, 1521, 1055, 2054, 3047, 2000, 2585, 1012, 2619, 2081, 2039, 1037, 2466, 1998, 6427, 2032, 2046, 3241, 2023, 2001, 1996, 2069, 2126, 2000, 6887, 3630, 2213, 7279, 2232, 1012, 2009, 2071, 2074, 2061, 3047, 2008, 2002, 2052, 2031, 2042, 15577, 1012, 2585, 3825, 2066, 2087, 1997, 2149, 2052, 2065, 2057, 2245, 2009, 2001, 2995, 1012, 1999, 15549, 4892, 3495, 2000, 1996, 3604, 4005, 1045, 2356, 1996, 3604, 4005, 3495, 2055, 2054, 2585, 2018, 2908, 2083, 1998, 2016, 2056, 2044, 3752, 2585, 1521, 1055, 10373, 1024, 1523, 2065, 1996, 8013, 23311, 1037, 2512, 1011, 2644, 3902, 7281, 1010, 2045, 2024, 2053, 3471, 1012, 1996, 7597, 2024, 3020, 2005, 2512, 1011, 4651, 5193, 1012, 2065, 2017, 4651, 2000, 1037, 2353, 1011, 2283, 5193, 2017, 3477, 2625, 1012, 2023, 2003, 2429, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2739, 8286, 7747, 1005, 18353, 9695, 20870, 8476, 1024, 2739, 8286, 7747, 1999, 1037, 5553, 1012, 2861, 2739, 8286, 7747, 2695, 1010, 5726, 5380, 21877, 20338, 2015, 1037, 5440, 4603, 20870, 1024, 2008, 7920, 2919, 2121, 18353, 9695, 2001, 2641, 2019, 4895, 2890, 11837, 5794, 2102, 4314, 2012, 1996, 2051, 2016, 2001, 4222, 2005, 1996, 4259, 2457, 1012, 17949, 2008, 1037, 2047, 2259, 2335, 3720, 2006, 4397, 4484, 4259, 2457, 3425, 5212, 4862, 3406, 1000, 20618, 4862, 3406, 1521, 1055, 9530, 8043, 20203, 6491, 2153, 1998, 2153, 1000, 1006, 5380, 3849, 2000, 2031, 1037, 3291, 21894, 1996, 3722, 1998, 4895, 8663, 22199, 2098, 2755, 2008, 4862, 3406, 2003, 1010, 1999, 2755, 1010, 4603, 1007, 1010, 5380, 2626, 2008, 1000, 1996, 2335, 3139, 1996, 4001, 3789, 2008, 2081, 4314, 2280, 9353, 7630, 5160, 7920, 2919, 2121, 18353, 9695, 1037, 4259, 2457, 3425, 1012, 1000, 5380, 2515, 2025, 4863, 2129, 2108, 1037, 1000, 2280, 9353, 7630, 5160, 1000, 8073, 3084, 2028, 1037, 1000, 4314, 1012, 1000, 1999, 10839, 1996, 1000, 4314, 1000, 16985, 8248, 1998, 18737, 1996, 9353, 7630, 22132, 3240, 2386, 1010, 5380, 26663, 18353, 9695, 1005, 1055, 2501, 2004, 1037, 8777, 2006, 1996, 1040, 1012, 1039, 1012, 4984, 1997, 1996, 1057, 1012, 1055, 1012, 2457, 1997, 9023, 1010, 2073, 2016, 2366, 2005, 2260, 2086, 2044, 2014, 9353, 7630, 12116, 1010, 2411, 6830, 2007, 9768, 4603, 6794, 2004, 8856, 14330, 1010, 2728, 8945, 8024, 1998, 10883, 9033, 20850, 18689, 1012, 5380, 2036, 26663, 1996, 2755, 2008, 2016, 2001, 6749, 2000, 2343, 7207, 2011, 3951, 12411, 1012, 26914, 2378, 11300, 2004, 1037, 4018, 3183, 10643, 2052, 14300, 1012, 2739, 8286, 7747, 14652, 1010, 1015, 1013, 2861, 8476, 1024, 2739, 8286, 7747, 1011, 1011, 5199, 5846, 3138, 1037, 1059, 3270, 3600, 2012, 1037, 2051, 2932, 6398, 2005, 1000, 13109, 8684, 2075, 1000, 2005, 1037, 7979, 13422, 2040, 10116, 2010, 12660, 1006, 2101, 6064, 5604, 3662, 2032, 2000, 2022, 5905, 1007, 1012, 5846, 1005, 1055, 11194, 2038, 2025, 2042, 11250, 2011, 2008, 2077, 1012, 27166, 2015, 2638, 9333, 1012, 4012, 2038, 2448, 2274, 4790, 1006, 2182, 1010, 2182, 1010, 2182, 1010, 2182, 1010, 1998, 2182, 1007, 2008, 21893, 5639, 23680, 18083, 10593, 1010, 3262, 1999, 2010, 2535, 2004, 1000, 2865, 10669, 1000, 1998, 14056, 2005, 26568, 8040, 12995, 6767, 1005, 1055, 9064, 1010, 1998, 3904, 1997, 2068, 5254, 23680, 18083, 10593, 1005, 1055, 13422, 1011, 13109, 8684, 2075, 2381, 1024, 2002, 2001, 1037, 2865, 8930, 2000, 2703, 2940, 1010, 2040, 2001, 7979, 1998, 6472, 2005, 1996, 4028, 1997, 1037, 3460, 2040, 2864, 11324, 2015, 1006, 1998, 2003, 9339, 2004, 3038, 1010, 1000, 2703, 2940, 2003, 2026, 2767, 1012, 2053, 1010, 1045, 2180, 1005, 1056, 7939, 23709, 3401, 2010, 4506, 1000, 1007, 1012, 1011, 1011, 2928, 10346, 11705, 8602, 16655, 22425, 2015, 2178, 16021, 28173, 3560, 2742, 1997, 1000, 4314, 2865, 13827, 1000, 1999, 1996, 3536, 6198, 1024, 1037, 2998, 13317, 2040, 2001, 22922, 1000, 1038, 20051, 4630, 2630, 2110, 1013, 2417, 2110, 13827, 1000, 6815, 2008, 5626, 2003, 1000, 1037, 2613, 2103, 1000, 2138, 1000, 1031, 1061, 1033, 15068, 2064, 2131, 1996, 2047, 2259, 2335, 2182, 1000, 1010, 2096, 4214, 13057, 1010, 13109, 2050, 1012, 1010, 1037, 1000, 20643, 2237, 1012, 1000, 1011, 1011, 1048, 2100, 3877, 19645, 17612, 2015, 2008, 1996, 2899, 2695, 3253, 2019, 1000, 6835, 3535, 2012, 8562, 1000, 2006, 1996, 2110, 1997, 1996, 2586, 4769, 2008, 2003, 1000, 1037, 19545, 1010, 1055, 11802, 4801, 3538, 1010, 2008, 2003, 1012, 1012, 1012, 2025, 2485, 2438, 2000, 4507, 2000, 2941, 2022, 6057, 1012, 1000, 1998, 2008, 12980, 2013, 2739, 8286, 7747, 1005, 1000, 18201, 9354, 1000, 5021, 2129, 1029, 5637, 2015, 5443, 1012, 7773, 8476, 1024, 2088, 7159, 21351, 2135, 1037, 5553, 1012, 2861, 2088, 7159, 21351, 2135, 3720, 2838, 1037, 2168, 1011, 3348, 3232, 2040, 10214, 2000, 3477, 2037, 7773, 1010, 6815, 9147, 2138, 2002, 2003, 10142, 10890, 2000, 5914, 2010, 2168, 1011, 3348, 4256, 1998, 3568, 4039, 2000, 4366, 1996, 4171, 6666, 2496, 6062, 4374, 1012, 2085, 1010, 1059, 4859, 7459, 4171, 13337, 1012, 2009, 5570, 14067, 2967, 2066, 2057, 1996, 2111, 1010, 2177, 2008, 7164, 2008, 1996, 2976, 2231, 14087, 2151, 3423, 7360, 2000, 16306, 1996, 3318, 4171, 1010, 2008, 2045, 2003, 2053, 2375, 2008, 5942, 4841, 2000, 3477, 1996, 4171, 1010, 1998, 2008, 1996, 4171, 2003, 16348, 1999, 1037, 5450, 2008, 23640, 2015, 1996, 1057, 1012, 1055, 1012, 4552, 1012, 2021, 2738, 2084, 3749, 6971, 2000, 2151, 1997, 2049, 4171, 1011, 6186, 4790, 2012, 1996, 2203, 1997, 1996, 5553, 1012, 2861, 3720, 1010, 1059, 4859, 2612, 3253, 6971, 2069, 2000, 4790, 2006, 2168, 1011, 3348, 3510, 1010, 2107, 2004, 1037, 2432, 3720, 16405, 14536, 11589, 2075, 2000, 4863, 2129, 1000, 15667, 10134, 1000, 2024, 2667, 2000, 1000, 2486, 2168, 1011, 3348, 3510, 2006, 2019, 15175, 3842, 1012, 1000, 1059, 4859, 2106, 2242, 2714, 2197, 2095, 1010, 2153, 9217, 2049, 11155, 2490, 1997, 4171, 13337, 2011, 2667, 2000, 14387, 1996, 25760, 2006, 15837, 2016, 24660, 2044, 2016, 18152, 2025, 2000, 3477, 2014, 3318, 7773, 2004, 1037, 6186, 2058, 1996, 5712, 2162, 1012, 4593, 1010, 2069, 11992, 2024, 3039, 2000, 6186, 7079, 7773, 1011, 1011, 2178, 1059, 4859, 3313, 3115, 1012, 2009, 2515, 2074, 2008, 1999, 1037, 5553, 1012, 2382, 3720, 2011, 6128, 27838, 10128, 2386, 7866, 6945, 5817, 1012, 2025, 2069, 2515, 1000, 2280, 3537, 2708, 9517, 1000, 3711, 1999, 1996, 17653, 1010, 1996, 6415, 4179, 5577, 2032, 2004, 1037, 1000, 13506, 7672, 1010, 1000, 1998, 27838, 10128, 2386, 2370, 3475, 1005, 1056, 2130, 2274, 2616, 2046, 2010, 8570, 2077, 2002, 2003, 7302, 2041, 2008, 2002, 2003, 1000, 1037, 7672, 1998, 2280, 2708, 9517, 2000, 1996, 2160, 14814, 2837, 1012, 1000, 2061, 1010, 2040, 2003, 2023, 27023, 1000, 13506, 7672, 1000, 1029, 1996, 2785, 1997, 7672, 1996, 10643, 2012, 2739, 17848, 2066, 1011, 1011, 2017, 2113, 1010, 1996, 2785, 2040, 1005, 1055, 2941, 1037, 3951, 1012, 27838, 10128, 2386, 2003, 1996, 3166, 1997, 1037, 2338, 2170, 1000, 2302, 3932, 1024, 6997, 1997, 19130, 4140, 1998, 1996, 17727, 5243, 22729, 1997, 2343, 11296, 1010, 1000, 1999, 2029, 2002, 4447, 1010, 2429, 2000, 1037, 2727, 2899, 2695, 3319, 1010, 2008, 1000, 5817, 26590, 1000, 2107, 2004, 18520, 8473, 3511, 27885, 3367, 6820, 10985, 1996, 11296, 17727, 5243, 22729, 2000, 4047, 1996, 5891, 1997, 2198, 5817, 1012, 1996, 2695, 2170, 1996, 2338, 1000, 2019, 4895, 8663, 6371, 6129, 1010, 2065, 28575, 1010, 6925, 1997, 20014, 27611, 1012, 1000, 27838, 10128, 2386, 1005, 1055, 9714, 8106, 2031, 2036, 10538, 1999, 2107, 7939, 2015, 1997, 3537, 2245, 2004, 1996, 2047, 2259, 2695, 1998, 8268, 3422, 1012, 2002, 2626, 1037, 2727, 7207, 1011, 24234, 2075, 8570, 2005, 1996, 2813, 2395, 3485, 2008, 4269, 1999, 5220, 4827, 1024, 1000, 13718, 1010, 2004, 1037, 2166, 1011, 2146, 7672, 1998, 2708, 9517, 1997, 1996, 2160, 14814, 2837, 1012, 1012, 1012, 1000, 1999, 2060, 2616, 1010, 2066, 2060, 2739, 17848, 6904, 6961, 2066, 19971, 5503, 1998, 27838, 3363, 4679, 1010, 1037, 7672, 2069, 2739, 17848, 2071, 2293, 1012, 1059, 4859, 8008, 2005, 18776, 8476, 1024, 2088, 7159, 21351, 2135, 1037, 5553, 1012, 2382, 2088, 7159, 21351, 2135, 3720, 3084, 2009, 24509, 2084, 2412, 2008, 1996, 2069, 3114, 1059, 4859, 2038, 11250, 2000, 3189, 2006, 1037, 3951, 2576, 9446, 1999, 4058, 2003, 2008, 2009, 12992, 2015, 4603, 9548, 6358, 18776, 1012, 2004, 2057, 1005, 2310, 6851, 1010, 2750, 2108, 1037, 2969, 1011, 10116, 14451, 2099, 1997, 2231, 7897, 1010, 1059, 4859, 2038, 2042, 7687, 22091, 4747, 2006, 1996, 2048, 5221, 2231, 7897, 29609, 1997, 3522, 2706, 1010, 9744, 1000, 3804, 1000, 13652, 1005, 1055, 26470, 1011, 2635, 1998, 2990, 11113, 6444, 7245, 1005, 1055, 26470, 1011, 2437, 1012, 1996, 2069, 3951, 1011, 5799, 9446, 2009, 2038, 2589, 2151, 4066, 1997, 7316, 2006, 1999, 3522, 2706, 2003, 1996, 4058, 1000, 3477, 2000, 5618, 1000, 9446, 2008, 2074, 6433, 2000, 17727, 19341, 2618, 2116, 1997, 1996, 3951, 12932, 2015, 2000, 6358, 18776, 1005, 1055, 2448, 2005, 3099, 1012, 1996, 4013, 1011, 18776, 13827, 2001, 2556, 1999, 1996, 2060, 4790, 1010, 2021, 1059, 4859, 2038, 3030, 2667, 2000, 5342, 2009, 1999, 1996, 2047, 3720, 1024, 7483, 1010, 1996, 6044, 5810, 11033, 2405, 1037, 2350, 15025, 3189, 5860, 10483, 2075, 1996, 5571, 1997, 2048, 4069, 3951, 9559, 1012, 2990, 9959, 1998, 4097, 13351, 4366, 2037, 2375, 9786, 2439, 8990, 2035, 2110, 3423, 2449, 2138, 2027, 4188, 2000, 9002, 2000, 1996, 3049, 1997, 4058, 4905, 2236, 3958, 9004, 3217, 1012, 9004, 3217, 2003, 1996, 2069, 3588, 12932, 2000, 4058, 3187, 1997, 2110, 6358, 18776, 1999, 1996, 3951, 2283, 19100, 2602, 18517, 2005, 2089, 1016, 1012, 5095, 1010, 18776, 1005, 1055, 4037, 2405, 2019, 2981, 4058, 3951, 2283, 5002, 4760, 2032, 2007, 1037, 7991, 2184, 2391, 2599, 2058, 9004, 3217, 1010, 2871, 2000, 2382, 3867, 1010, 2007, 2756, 3867, 6151, 8586, 14097, 1010, 2750, 9004, 3217, 1005, 1055, 1002, 1015, 1012, 1020, 2454, 2547, 3293, 22312, 1999, 2285, 1998, 2254, 1012, 1996, 23720, 1004, 9228, 2470, 2056, 18776, 2003, 1999, 1037, 2597, 2000, 7949, 2010, 2599, 1012, 2007, 1996, 2990, 11113, 6444, 7245, 19670, 9446, 14934, 1996, 3951, 2283, 9582, 1010, 1996, 1000, 3477, 2000, 5618, 1000, 9446, 3138, 2006, 2019, 3176, 9812, 1012, 1996, 2069, 2350, 4058, 3951, 1996, 9446, 3849, 2025, 3497, 2000, 3543, 2003, 18776, 1012, 1000, 2065, 1045, 2071, 2031, 26304, 18776, 1010, 1045, 2052, 2031, 1010, 1000, 1031, 4905, 8856, 1033, 4100, 27413, 2063, 2409, 1059, 4859, 1012, 1000, 2903, 2033, 1010, 1045, 2246, 2524, 1010, 2021, 18776, 2003, 4550, 1012, 1000, 2065, 6358, 18776, 19391, 2004, 1996, 3951, 19100, 4018, 1999, 4058, 1010, 2120, 26136, 23194, 2015, 2903, 2002, 2097, 2022, 1999, 1037, 2597, 2000, 4287, 1037, 5290, 9484, 2830, 2005, 1996, 3951, 2283, 1010, 2025, 2074, 1999, 4058, 1010, 2021, 9582, 2004, 2092, 1012, 18776, 1005, 1055, 3049, 11276, 2000, 2022, 7079, 2005, 2023, 2785, 1997, 1000, 2739, 1012, 1000, 1998, 1059, 4859, 11276, 2000, 6449, 2008, 2049, 1000, 6325, 1000, 1997, 1996, 4058, 9446, 2003, 2210, 2062, 2084, 1037, 4857, 2135, 17330, 3049, 4748, 2005, 18776, 1012, 10398, 9499, 8476, 1024, 27166, 2015, 2638, 9333, 1012, 4012, 1999, 1037, 5553, 1012, 2382, 5930, 1010, 27166, 2015, 2638, 9333, 1012, 4012, 3559, 2585, 16215, 18410, 11314, 2038, 6727, 2149, 2008, 2002, 1998, 2010, 2739, 3029, 2003, 3929, 1999, 1996, 4951, 2005, 1996, 5747, 3447, 1006, 2004, 2065, 2057, 2134, 1005, 1056, 2113, 2008, 2525, 1007, 1012, 27166, 2015, 1010, 2002, 2038, 4161, 1010, 2097, 2022, 7694, 1996, 4447, 1997, 10870, 6517, 2050, 1010, 3166, 1997, 1996, 2047, 2338, 1000, 24111, 1005, 1055, 7800, 1024, 2129, 2019, 8956, 2236, 13366, 6340, 1998, 5175, 24111, 16543, 1012, 1000, 2339, 1029, 2138, 6517, 2050, 1000, 9703, 13602, 2229, 1996, 10661, 2008, 24111, 2018, 2053, 4255, 1997, 3742, 6215, 1998, 13686, 2053, 2248, 5081, 1000, 1025, 3383, 2062, 14780, 1010, 6517, 2050, 1005, 1055, 4447, 1000, 2089, 2030, 2089, 2025, 2022, 3228, 11260, 1998, 21877, 10483, 2072, 2540, 8022, 1012, 1000, 16215, 18410, 11314, 7009, 1024, 1000, 2009, 2323, 2025, 4474, 2151, 1997, 2256, 8141, 2000, 4553, 2008, 8991, 1012, 6517, 2050, 2003, 5115, 2000, 3113, 2006, 6928, 1010, 5553, 1012, 2382, 1010, 2007, 1037, 2266, 1997, 2026, 8579, 2121, 1011, 2990, 3095, 1010, 2016, 22155, 2175, 11393, 4779, 1012, 1000, 16780, 1011, 1011, 2445, 1996, 14254, 3267, 1997, 27166, 2015, 1010, 2009, 2987, 1005, 1056, 4474, 2149, 2012, 2035, 1012, 2054, 2097, 10514, 18098, 5562, 2149, 1010, 2295, 1010, 2003, 2065, 2175, 11393, 4779, 1998, 27166, 2015, 2515, 2242, 2060, 2084, 2556, 6517, 2050, 1005, 1055, 4447, 2012, 2227, 3643, 1011, 1011, 2017, 2113, 1010, 6204, 1996, 4357, 2066, 1037, 2613, 4988, 1012, 3679, 12849, 2015, 22106, 2070, 3971, 2000, 15775, 6216, 3351, 6517, 2050, 2182, 1012, 1998, 2096, 2016, 1005, 1055, 2012, 2009, 1010, 2175, 11393, 4779, 2453, 2036, 2215, 2000, 2228, 2055, 9990, 2339, 6517, 2050, 1005, 1055, 2338, 1010, 9808, 6132, 17296, 7149, 2007, 2120, 3036, 3314, 1010, 2003, 2108, 3843, 2011, 1037, 3412, 6674, 1012, 2030, 2054, 6517, 2050, 2003, 2725, 5689, 2041, 2007, 1996, 2168, 10975, 4034, 2008, 16024, 1996, 7777, 1997, 13813, 25869, 2368, 1010, 2732, 6262, 1010, 8856, 14330, 1010, 10250, 2726, 1998, 3648, 6060, 5405, 1012, 1006, 2027, 2655, 3209, 1000, 1996, 4587, 1998, 2087, 2511, 3017, 1011, 2241, 5848, 4034, 1999, 1996, 2142, 2163, 1012, 1000, 14686, 1997, 1996, 2154, 8476, 1024, 2739, 8286, 7747, 1000, 2096, 1996, 17727, 6313, 2865, 2097, 2763, 14865, 2005, 3536, 26919, 1998, 29536, 13512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2017, 2064, 5460, 2030, 8816, 2023, 2265, 2182, 1024, 2005, 1037, 2261, 2086, 1045, 2031, 2042, 2725, 1037, 2557, 2265, 1006, 1523, 2053, 16516, 19990, 1524, 1007, 2006, 4068, 1521, 1055, 2981, 2557, 2276, 1010, 2557, 2006, 1012, 3227, 2006, 2023, 2276, 1998, 2565, 1045, 2031, 2956, 3430, 2013, 1996, 13903, 3226, 3690, 1006, 22480, 3150, 1011, 2456, 1007, 1012, 2006, 2023, 3327, 2265, 1045, 4208, 2006, 8877, 7085, 2580, 2011, 2188, 2696, 7347, 1998, 5230, 3324, 1997, 2023, 2051, 2558, 1012, 2087, 2020, 3811, 14485, 2188, 2696, 7347, 2021, 2045, 2020, 1037, 3232, 1997, 3618, 17738, 7962, 1012, 1037, 2261, 7928, 2055, 1996, 2189, 2006, 2023, 2565, 1998, 2026, 5758, 1997, 1996, 2051, 1012, 1999, 1996, 3054, 16002, 1998, 17233, 1045, 2001, 2893, 1037, 2843, 1997, 27842, 2005, 1996, 2557, 2265, 3679, 1012, 2009, 2001, 3697, 2000, 2562, 2039, 1998, 14306, 3167, 3967, 2007, 2296, 3063, 2008, 2741, 2033, 1037, 6823, 1010, 2501, 2030, 3729, 1012, 2009, 2038, 2467, 2042, 2590, 2000, 2033, 2000, 6254, 1998, 2025, 8757, 2111, 2040, 1045, 2377, 2006, 1996, 2265, 1012, 1045, 2113, 2070, 2267, 23837, 1998, 2500, 2040, 3432, 2377, 1996, 3430, 1006, 2065, 2017, 1521, 2128, 5341, 1007, 1998, 2017, 2196, 2424, 2041, 2055, 2009, 1012, 1045, 2359, 2026, 10266, 2000, 2022, 2062, 3167, 1012, 2009, 2347, 1005, 1056, 2467, 2825, 2000, 2507, 2111, 6171, 3167, 1010, 2192, 15773, 3964, 2021, 1045, 2699, 2026, 2190, 1012, 1998, 1010, 1999, 1996, 2200, 2220, 2420, 2025, 2069, 2052, 1045, 4604, 2377, 27103, 1006, 1998, 2026, 2189, 12105, 2015, 1007, 2021, 1045, 2052, 4604, 2111, 13903, 4809, 1997, 1996, 2265, 2027, 2018, 2037, 2189, 2209, 2006, 1010, 1998, 2116, 2335, 1010, 2026, 2219, 2189, 1999, 3119, 1012, 2044, 19511, 2023, 5783, 2785, 1997, 9550, 2039, 2043, 1045, 3651, 2008, 2116, 3324, 2106, 2025, 2130, 2215, 2026, 2219, 2189, 13324, 1012, 2027, 2020, 3227, 3407, 2000, 2131, 1996, 2557, 13324, 2021, 2008, 2574, 2150, 3697, 1998, 17047, 1010, 2926, 2000, 2885, 2030, 2648, 1996, 3915, 1012, 2111, 2790, 3407, 2438, 2074, 2000, 2031, 2037, 2189, 4836, 2006, 2026, 2265, 1998, 2000, 2022, 19488, 1997, 1037, 2557, 3311, 1012, 2004, 1045, 2109, 2000, 2360, 1529, 1523, 2115, 2034, 15341, 1010, 1998, 2672, 2115, 2197, 1524, 1012, 2182, 1521, 1055, 2054, 1045, 9131, 2055, 1996, 2189, 2006, 2023, 2265, 1024, 11829, 2080, 1013, 3160, 2063, 1040, 1005, 3802, 11795, 6590, 1013, 3160, 2063, 1040, 1005, 3802, 11795, 6590, 1013, 3347, 2474, 14163, 8743, 2063, 1021, 1000, 2639, 1045, 2123, 1005, 1056, 2428, 3342, 2893, 2023, 1998, 2348, 1045, 3342, 2383, 2116, 10402, 1999, 3304, 1045, 3685, 9131, 1996, 2711, 1005, 1055, 2171, 2040, 2741, 2009, 1012, 1045, 2228, 2009, 2001, 2019, 3059, 3124, 2040, 2743, 1037, 3830, 1012, 2023, 2003, 1037, 13939, 16108, 1010, 2132, 29432, 4842, 1997, 1037, 8694, 7042, 1999, 3059, 1012, 24403, 15194, 2545, 1059, 1013, 2017, 1013, 24532, 2102, 10556, 18780, 2102, 4958, 1013, 10005, 2831, 1021, 1000, 3055, 1029, 1037, 5440, 2316, 2013, 1996, 2034, 2051, 1045, 2657, 2068, 1010, 24403, 15194, 2545, 1059, 2020, 2019, 9414, 1010, 2471, 4706, 2177, 2013, 1996, 4549, 1010, 2040, 4830, 12820, 1999, 4331, 1998, 25665, 8146, 2096, 14934, 1010, 5291, 1998, 16405, 2099, 12417, 2075, 1037, 2828, 1997, 6555, 2600, 2008, 19803, 19685, 1998, 2060, 6782, 2046, 1037, 4310, 2878, 1012, 6071, 4686, 1013, 2331, 1004, 6215, 1013, 6071, 4686, 1013, 1011, 1011, 1011, 1021, 1000, 2541, 13076, 7196, 1999, 1996, 2434, 17549, 4827, 1012, 2524, 1010, 3435, 1010, 4854, 2021, 3561, 2007, 8103, 2100, 9214, 1998, 7807, 1012, 2023, 2234, 2013, 1037, 1021, 1524, 2501, 2008, 1045, 2123, 1005, 1056, 9131, 2172, 2055, 1012, 14233, 2063, 6519, 7939, 13017, 2368, 1013, 7234, 2057, 7096, 18155, 4697, 2072, 1013, 17083, 2361, 1021, 1000, 2397, 16002, 2062, 2524, 1998, 3435, 3430, 11867, 22494, 3436, 2013, 2122, 9944, 7196, 2015, 1012, 2025, 2428, 2008, 19745, 2021, 2009, 2904, 10898, 2013, 3435, 2000, 2130, 5514, 1998, 2059, 12430, 2153, 1012, 2204, 2943, 2348, 2025, 1037, 2843, 1997, 8531, 2000, 6865, 3031, 1012, 6766, 23310, 8625, 1004, 2940, 2884, 12747, 1013, 4253, 4179, 1013, 3975, 2007, 13812, 3044, 1013, 2058, 4371, 23067, 2271, 1021, 1000, 3938, 1521, 1055, 1029, 1997, 2607, 23310, 8625, 2001, 2092, 2124, 2004, 1037, 2266, 1997, 5206, 11083, 1521, 1055, 2270, 3746, 3132, 2177, 1998, 12747, 2001, 2092, 2124, 2004, 1996, 5990, 2005, 1996, 2417, 2980, 20238, 23582, 1012, 1999, 2216, 2420, 1045, 2763, 2052, 2025, 2031, 2130, 2209, 2023, 2006, 1996, 2265, 2138, 1045, 2001, 4066, 1997, 2019, 12005, 16774, 1012, 2065, 3087, 2412, 2657, 1997, 2017, 1045, 2876, 1005, 1056, 3543, 2009, 1012, 2021, 2006, 2023, 22796, 3743, 2265, 1045, 2179, 2023, 5976, 2210, 1021, 1524, 1999, 1996, 3074, 1998, 2245, 1523, 2339, 2025, 1524, 1029, 2049, 1037, 4569, 1010, 24151, 5976, 3012, 2004, 2017, 2453, 5674, 2043, 2122, 2048, 2131, 2362, 1012, 2053, 2955, 1010, 2074, 5099, 5513, 17900, 1998, 24299, 2229, 1012, 3280, 13970, 5403, 1013, 16553, 15754, 1013, 3280, 13970, 5403, 1013, 26261, 29546, 1021, 1000, 2220, 2456, 1521, 1055, 1029, 1045, 1521, 1049, 3492, 2469, 2023, 1021, 1524, 2001, 2445, 2000, 2033, 2011, 2026, 2204, 2446, 2767, 1010, 9353, 14341, 29461, 2226, 1006, 4830, 13094, 8873, 11624, 1010, 28145, 3917, 29461, 2226, 1010, 4315, 2933, 1007, 1010, 2043, 2002, 4716, 2033, 1999, 2055, 2541, 1012, 1045, 2123, 1005, 1056, 2228, 2002, 2018, 2505, 2000, 2079, 2007, 2009, 2021, 2002, 2354, 1045, 4669, 13576, 1010, 5230, 5453, 1012, 1998, 2002, 2763, 2354, 1996, 3324, 1999, 2023, 2177, 2029, 2965, 1523, 1996, 3829, 1524, 1999, 2446, 1012, 2045, 2003, 2070, 11087, 4658, 4166, 2100, 5812, 2008, 2428, 9297, 2023, 6150, 1012, 1045, 2228, 2027, 2018, 2060, 3430, 2021, 2025, 2469, 1012, 3769, 5081, 1013, 22503, 2078, 1013, 22503, 2078, 1013, 18197, 2636, 1021, 1000, 2541, 1037, 23769, 2135, 28101, 3769, 2931, 23291, 2316, 2008, 4978, 1996, 2157, 3962, 2005, 2033, 1012, 7893, 1010, 7165, 1010, 7893, 2007, 1037, 15708, 5287, 2690, 2112, 1012, 2204, 2440, 2316, 2614, 2205, 1012, 1996, 5095, 6385, 1013, 10958, 17062, 8588, 1013, 10958, 17062, 8588, 1013, 1011, 1011, 1011, 1021, 1000, 2456, 1521, 1055, 1029, 29461, 5302, 4135, 24779, 2007, 1037, 3056, 3815, 1997, 1056, 28394, 2000, 2191, 2009, 2062, 10754, 1012, 2027, 13276, 2009, 2039, 2076, 1996, 2690, 1998, 3452, 1037, 11519, 8694, 1012, 2123, 1521, 1056, 3342, 1996, 2711, 2040, 2741, 2009, 1012, 2019, 2137, 2316, 1045, 2903, 1012, 12931, 10207, 9629, 1013, 4649, 6902, 5104, 1038, 2571, 2226, 1013, 2474, 20098, 1040, 1005, 4895, 11721, 29566, 2078, 1013, 1048, 1005, 2149, 3170, 1021, 1000, 2397, 16002, 2019, 5976, 1021, 1524, 8877, 6268, 1997, 2536, 2413, 6881, 2891, 1012, 1045, 2123, 1521, 1056, 9131, 2172, 2055, 2023, 3327, 2316, 2021, 2027, 5121, 2128, 5937, 1997, 2413, 2791, 2061, 2172, 2017, 2064, 5510, 1996, 13675, 10054, 22341, 1998, 27136, 2100, 8808, 1012, 19745, 2021, 3561, 2007, 1037, 5012, 9016, 1012, 3769, 7068, 7442, 2033, 14856, 5480, 1013, 20327, 1013, 20327, 1013, 1011, 1011, 1011, 1021, 1000, 3261, 1045, 2903, 2023, 2316, 2253, 2083, 1037, 3232, 1997, 15715, 2015, 1010, 2023, 2028, 2108, 1996, 2034, 1012, 1045, 2428, 2031, 2467, 8655, 2023, 8694, 1012, 2200, 24151, 1998, 4608, 2100, 2007, 2955, 2008, 4995, 1005, 1056, 2428, 17187, 2021, 1996, 3786, 2003, 2061, 29204, 2009, 2987, 1005, 1056, 3043, 1012, 2123, 1005, 1056, 2412, 2292, 2068, 2425, 2017, 7074, 2024, 2025, 24151, 1012, 20436, 3766, 1013, 7493, 2039, 1996, 2214, 9033, 21815, 5874, 1013, 6351, 1013, 2795, 1997, 1996, 3787, 1021, 1000, 2857, 20436, 2038, 2042, 2092, 2124, 1999, 1996, 17727, 12298, 3496, 5091, 1998, 2348, 1037, 2062, 2350, 1523, 2171, 1524, 1010, 2023, 4678, 1021, 1524, 2006, 1996, 2795, 1997, 1996, 3787, 3830, 2003, 2004, 4689, 1998, 14815, 14535, 2004, 2017, 2453, 2066, 1012, 17950, 21972, 1998, 1037, 2613, 14256, 8875, 1012, 20548, 1013, 4392, 10572, 11450, 1013, 1011, 1011, 1011, 1013, 1011, 1011, 1011, 1021, 1000, 2220, 2456, 1521, 1055, 1037, 3054, 13657, 12954, 16213, 2013, 1037, 2316, 2008, 4117, 28101, 9587, 5051, 9654, 4757, 2007, 2137, 2806, 2406, 1012, 3565, 4658, 8694, 1012, 17056, 2111, 1013, 2188, 2003, 2073, 1996, 2425, 2100, 2003, 1013, 1011, 1011, 1011, 1013, 2061, 17822, 18513, 3192, 1021, 1000, 2722, 1045, 2196, 2071, 3243, 3305, 2023, 2316, 1012, 2020, 2027, 14598, 5105, 13382, 9236, 1029, 2020, 2027, 2695, 4013, 2290, 13554, 2806, 24779, 2015, 12800, 1996, 3835, 3380, 1029, 1999, 22307, 13102, 22471, 2027, 2018, 1037, 2843, 2183, 2005, 2068, 2007, 6151, 19825, 3468, 7781, 1998, 5848, 1998, 2763, 5102, 2039, 2205, 1012, 11957, 22850, 8505, 1013, 7851, 1996, 8030, 1013, 1011, 1011, 1011, 1013, 3611, 2050, 2636, 1021, 1000, 2857, 1037, 2307, 1998, 5931, 24779, 2013, 2122, 3933, 1011, 2009, 2229, 1006, 2065, 1045, 9131, 11178, 1007, 1012, 2023, 2003, 2054, 24665, 5575, 2063, 2323, 2031, 2042, 1012, 15537, 2033, 1037, 2210, 1997, 25630, 1011, 3770, 2614, 1006, 1037, 2204, 2518, 1007, 1012, 6541, 2638, 4231, 1013, 2000, 26011, 3170, 1013, 4418, 1997, 2176, 1013, 11867, 13355, 2075, 1021, 1000, 2786, 1045, 2467, 5621, 8655, 1996, 8827, 17994, 6150, 2686, 3267, 1997, 2023, 2177, 1012, 2027, 2596, 2006, 2070, 13324, 1998, 2130, 2081, 2070, 8877, 2164, 2023, 2028, 1010, 1037, 2665, 6910, 1021, 1524, 2006, 2019, 14485, 2329, 3830, 1012, 24892, 1004, 2000, 6182, 19663, 7632, 25667, 2912, 1013, 15401, 2003, 11771, 1013, 1011, 1011, 1011, 1013, 2524, 5860, 1021, 1000, 2826, 24892, 2001, 2124, 2004, 1523, 1996, 12091, 2007, 1996, 4823, 4451, 1524, 1998, 2001, 1037, 2613, 2839, 1012, 1045, 2481, 1005, 1056, 2425, 3251, 2030, 2025, 2002, 2001, 12489, 1998, 2054, 1996, 3066, 2001, 1012, 2021, 2002, 2921, 2012, 2009, 1998, 6427, 2033, 2002, 2001, 2613, 1010, 1998, 21864, 15952, 1012, 2182, 1010, 2002, 12597, 2039, 2007, 1996, 2307, 2887, 2188, 2696, 4842, 1010, 2000, 6182, 19663, 7632, 25667, 2912, 1010, 2040, 2404, 2041, 2010, 2219, 13903, 2015, 1998, 2001, 2467, 1037, 5440, 1997, 3067, 1012, 17217, 1062, 1013, 9052, 4135, 10719, 1013, 9052, 4135, 10719, 1013, 1011, 1011, 1011, 13903, 2997, 2035, 1996, 2060, 3430, 2006, 2023, 2265, 2001, 2013, 8877, 2021, 2023, 2028, 2001, 2013, 1037, 13903, 2008, 2624, 3799, 2181, 3063, 1010, 17217, 1062, 2404, 2041, 1012, 2045, 2020, 2200, 2261, 3060, 2137, 2308, 3324, 2551, 1999, 1996, 5230, 2012, 2008, 2051, 1010, 2012, 2560, 2008, 1045, 2001, 5204, 1997, 1012, 1998, 2016, 2003, 1013, 2001, 1037, 2087, 3811, 5541, 3063, 2725, 5875, 4165, 1012, 2478, 9052, 1998, 3896, 2016, 2036, 2580, 2070, 11757, 4608, 2100, 13281, 2008, 2071, 2022, 2170, 14815, 3769, 1012, 2111, 2066, 9079, 2014, 19333, 1998, 2500, 2024, 1999, 7016, 2000, 2023, 2434, 1010, 10904, 3063, 1012, 2123, 1005, 1056, 5293, 1010, 1045, 2145, 5138, 2115, 2434, 2189, 2005, 1996, 2557, 1012, 2175, 2000, 7479, 1012, 2123, 26468, 4887, 1012, 4012, 1998, 11562, 1996, 1523, 12040, 1524, 4957, 2005, 4751, 1012, 2017, 2064, 2036, 11562, 1996, 6971, 2000, 2963, 3522, 2557, 3065, 1010, 2026, 2219, 2189, 1998, 2062, 1012, 1998, 1010, 2348, 1045, 2031, 2025, 2499, 2006, 2009, 2005, 8811, 2085, 2045, 2003, 2145, 2070, 2204, 1010, 22796, 2592, 1006, 1998, 6197, 1997, 2489, 2189, 1007, 2012, 2026, 2542, 8756, 1997, 5230, 2189, 2609, 1024, 1998, 22267, 1010, 3581, 14736, 2121, 2003, 2725, 10392, 2147, 2012, 1024, 2002, 2003, 4526, 1037, 4121, 7809, 2007, 4620, 1998, 2614, 6764, 1998, 2038, 2085, 5067, 2012, 2560, 3174, 2274, 4595, 13324, 1012, 3581, 2003, 3985, 2085, 1996, 2332, 1997, 13903, 2015, 1012, 4530, 2011, 1998, 2156, 2010, 5082, 1012, 2026, 2171, 2003, 2123, 3409, 4887, 1998, 1045, 2031, 2042, 2920, 1999, 5230, 1998, 2512, 7731, 2189, 1998, 2557, 2144, 3440, 1012, 1045, 3613, 2000, 2022, 2019, 3161, 2188, 6823, 2099, 1998, 13903, 3226, 7905, 21997, 2007, 2026, 2219, 2609, 1010, 1996, 2542, 8756, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 4803, 10401, 1010, 4444, 1011, 3874, 3127, 2698, 1024, 1996, 4251, 2086, 1996, 2307, 6245, 3876, 12128, 1998, 13718, 2058, 2670, 2662, 1012, 2007, 2009, 2234, 1996, 2203, 1997, 1996, 2034, 2307, 4722, 9230, 1997, 1996, 8285, 2287, 1012, 1999, 2702, 2086, 1016, 1010, 2199, 1010, 2199, 2047, 7322, 2018, 2333, 2046, 1996, 2110, 1010, 3053, 2093, 1011, 2959, 2015, 1997, 2068, 2046, 2670, 2662, 1012, 1996, 3446, 1997, 17482, 9243, 2001, 1996, 3284, 1999, 1996, 3842, 1998, 7686, 1996, 7859, 1997, 2116, 23250, 2455, 15365, 1998, 3514, 1998, 2060, 3748, 11266, 4518, 11683, 1012, 1999, 2624, 5277, 1999, 2028, 2095, 1996, 3643, 1997, 2311, 14245, 9225, 3333, 2011, 2431, 1998, 2924, 2139, 16313, 2015, 7569, 1037, 3634, 2454, 6363, 1012, 2009, 2001, 3697, 2005, 1996, 2111, 1997, 2670, 2662, 1010, 2040, 2018, 4013, 17668, 2098, 2005, 1037, 5476, 2013, 1996, 10401, 1997, 2047, 7322, 1998, 9387, 1010, 2000, 5138, 1996, 9824, 1997, 1037, 2146, 2558, 1997, 3171, 1998, 2313, 2358, 8490, 9323, 1012, 2027, 2020, 6427, 2008, 2009, 2035, 2442, 2707, 2039, 2153, 1010, 1998, 2574, 1012, 2624, 3280, 5289, 2015, 3881, 7216, 2013, 1996, 3780, 14721, 1997, 1996, 2154, 1010, 4300, 7717, 1010, 2019, 3559, 1998, 13317, 2005, 1996, 25419, 6399, 3005, 7896, 2036, 2596, 1999, 7644, 1997, 2060, 5523, 1010, 3227, 2006, 1996, 2392, 3931, 1012, 2002, 4716, 2624, 5277, 2006, 2233, 2539, 1010, 4479, 1010, 1998, 2059, 2626, 1024, 1523, 2673, 2017, 2031, 2412, 2245, 2055, 2030, 2359, 2003, 2182, 1010, 1998, 2116, 2477, 2008, 2017, 2196, 8078, 1529, 2296, 2158, 1010, 2450, 1998, 2775, 2758, 1024, 1523, 2339, 10334, 2583, 2000, 2272, 2182, 2323, 2444, 5973, 2842, 1010, 2003, 1037, 6547, 1012, 1524, 2027, 2024, 2157, 1010, 2009, 2003, 1037, 6547, 1012, 1523, 2011, 2126, 1997, 17547, 1010, 2029, 3531, 4339, 2091, 2006, 2115, 26450, 1010, 2023, 3213, 8996, 2000, 2360, 2008, 3929, 2764, 2250, 3604, 1010, 2007, 2484, 1011, 3178, 2461, 4440, 1010, 2013, 4153, 2000, 4153, 1010, 2097, 3857, 2039, 1037, 4568, 1998, 25354, 2313, 1999, 2023, 2103, 1998, 3700, 4193, 2009, 2004, 2053, 2173, 2006, 3011, 2038, 2412, 2042, 2328, 2077, 1012, 1524, 2004, 2521, 2004, 2624, 3280, 5289, 2015, 2020, 4986, 1010, 2009, 2001, 2145, 1037, 6547, 2339, 2062, 7322, 6871, 3050, 3349, 2000, 2624, 5277, 1012, 1996, 2883, 1997, 4479, 3662, 2008, 2058, 1037, 2454, 2062, 5381, 12427, 1999, 3050, 3349, 1012, 1996, 2313, 1997, 3050, 3349, 2001, 1015, 1010, 22030, 1010, 5840, 2620, 1998, 2008, 1997, 2624, 5277, 16471, 1010, 6486, 2581, 1012, 2076, 1996, 2627, 5476, 2624, 3799, 1521, 1055, 2018, 13763, 2069, 11899, 1010, 2199, 1010, 2000, 6191, 2549, 1010, 4464, 2549, 1012, 2295, 2624, 5277, 1521, 1055, 2313, 2018, 11515, 1999, 2702, 2086, 1010, 1996, 2221, 2004, 1037, 2878, 2018, 4961, 2625, 5901, 1010, 2013, 11176, 1010, 24568, 1010, 2000, 19348, 1010, 3515, 2683, 1012, 2062, 2084, 2431, 1997, 1996, 2110, 1521, 1055, 2313, 2085, 2973, 1999, 1996, 5408, 5721, 3227, 4137, 2000, 2670, 2662, 1012, 1996, 6245, 2018, 2025, 5028, 3953, 1998, 2577, 1059, 1012, 7733, 2669, 2001, 2583, 2000, 4339, 2008, 2624, 5277, 2001, 2025, 2004, 2664, 1999, 1037, 3653, 10010, 6313, 3663, 1010, 2295, 2002, 6727, 1996, 2103, 24555, 1010, 2198, 2053, 7770, 1024, 1523, 2624, 5277, 2003, 2025, 2069, 6114, 2013, 1996, 2236, 6245, 1999, 2449, 1010, 2021, 2009, 2003, 1999, 1996, 2203, 1997, 1996, 2034, 2095, 1997, 1037, 4668, 2013, 1996, 8797, 1997, 1996, 11003, 2274, 2086, 1012, 2062, 2084, 2023, 2057, 2031, 2018, 2083, 1996, 3169, 1997, 1996, 4717, 7828, 2552, 2019, 1999, 18515, 14663, 3560, 4171, 3021, 11902, 2098, 2588, 2116, 1997, 2256, 29341, 5144, 1012, 2023, 2038, 4504, 1999, 2116, 2111, 3974, 2037, 9583, 1012, 2023, 1998, 1996, 2236, 2152, 3446, 1997, 14952, 2038, 2550, 1037, 2200, 20868, 17728, 3468, 3110, 2426, 1996, 2111, 1998, 1045, 2031, 2196, 2124, 2107, 1037, 3697, 2558, 2005, 6830, 2588, 7620, 9547, 1012, 1524, 2312, 2752, 1997, 2455, 2306, 1996, 2103, 2020, 4895, 12002, 3085, 2130, 2065, 1996, 2613, 3723, 3006, 2106, 5335, 1010, 2138, 1997, 1996, 11918, 2075, 1997, 2569, 20794, 1012, 1037, 2757, 2192, 2018, 2042, 4201, 2588, 3930, 1010, 1998, 2009, 2052, 2202, 2086, 2000, 6336, 2009, 1012, 1996, 2862, 1997, 4171, 3972, 2378, 4226, 14767, 2405, 1999, 1996, 2624, 5277, 2586, 3473, 2000, 8442, 1011, 2176, 5530, 1012, 1037, 2126, 2000, 3013, 1996, 4171, 10859, 2001, 4081, 2000, 1996, 2103, 2473, 1999, 4479, 2011, 1996, 10211, 1010, 2990, 4971, 2319, 1012, 2002, 3818, 1037, 13921, 1997, 1996, 2047, 2103, 6111, 2000, 9146, 1996, 5096, 1997, 3588, 18273, 4915, 1012, 1996, 6352, 2692, 4631, 2167, 1997, 1996, 2624, 5277, 2314, 3421, 2035, 2008, 2001, 2187, 1997, 1996, 4466, 1010, 2199, 4631, 2008, 2018, 2042, 21527, 2000, 1996, 2103, 2007, 2142, 2163, 5038, 1997, 1996, 3009, 7372, 1997, 1996, 2434, 18273, 1012, 1999, 6478, 1996, 7206, 2018, 10890, 2582, 5096, 1997, 2122, 4915, 2127, 4479, 1010, 1998, 1999, 4612, 2023, 2018, 2042, 3668, 2127, 3878, 1012, 4971, 2319, 5275, 2008, 2624, 5277, 26457, 2020, 4755, 1037, 10859, 1997, 1002, 2603, 1010, 2199, 1010, 2199, 4276, 1997, 10030, 1998, 2757, 4915, 1010, 2005, 6328, 1010, 14705, 2015, 1010, 5231, 1998, 2816, 1010, 1998, 2008, 1996, 5096, 1997, 2069, 2431, 1997, 1996, 18273, 4915, 2052, 15804, 7773, 2011, 2055, 1002, 1016, 1010, 2199, 1010, 2199, 1012, 2174, 1010, 2009, 2001, 8615, 2008, 1996, 23642, 1997, 2107, 1037, 2312, 3815, 1997, 2455, 2006, 1996, 3006, 1010, 2012, 8688, 7597, 1010, 2052, 2582, 2139, 20110, 2613, 3776, 5300, 2006, 2029, 1996, 2451, 8614, 2061, 2172, 1997, 2049, 8069, 2005, 7233, 1012, 2976, 1998, 2110, 2270, 2573, 3934, 2020, 14948, 2030, 10607, 2077, 5115, 2000, 3073, 5841, 1998, 8945, 29576, 1996, 4610, 1012, 2343, 17443, 2772, 1037, 18888, 3021, 10439, 18981, 4360, 3436, 1002, 2184, 1010, 2199, 1010, 2199, 2005, 1996, 8824, 2810, 2147, 2006, 13264, 5477, 1012, 8377, 1999, 1996, 2103, 1521, 1055, 2300, 4353, 1998, 5527, 2291, 2020, 2108, 3344, 2041, 2007, 5029, 2013, 1037, 3144, 5416, 3277, 1999, 4612, 1012, 1037, 2047, 11909, 2046, 2624, 5277, 2013, 1996, 2167, 2001, 3024, 2083, 2103, 1011, 2110, 6792, 1012, 1037, 2047, 3307, 2001, 3833, 2083, 3123, 8399, 1010, 9268, 2474, 8183, 4571, 2013, 1996, 2364, 2799, 2046, 1996, 2103, 1010, 1998, 2147, 2001, 1999, 5082, 2006, 1037, 7681, 22047, 2100, 17527, 3694, 2000, 11027, 1996, 4867, 21439, 2346, 2008, 2419, 2013, 2061, 14343, 13663, 3028, 2039, 2000, 1996, 15797, 1012, 1996, 5934, 10356, 2001, 3091, 6675, 3263, 2519, 1998, 1037, 2048, 1011, 2466, 6671, 8328, 7019, 1012, 2174, 1010, 1037, 6378, 2008, 2119, 1996, 2103, 1998, 2221, 14300, 9547, 2000, 9570, 1037, 4117, 8388, 2415, 2311, 2006, 1996, 16317, 2001, 3249, 1012, 1996, 2976, 2231, 9362, 3176, 5029, 2005, 2852, 28002, 1996, 6496, 1998, 1996, 3430, 2052, 5587, 13092, 4631, 2000, 11409, 25190, 2232, 2492, 1012, 2011, 1996, 2621, 1997, 4479, 7608, 2211, 4082, 2013, 11409, 25190, 2232, 2492, 1010, 2295, 3316, 2020, 7887, 5738, 2030, 2183, 2041, 1997, 2449, 2030, 16468, 2007, 2060, 3210, 1012, 1996, 5506, 8566, 2595, 2240, 2150, 9099, 8663, 10196, 15758, 2250, 5193, 1011, 5506, 8566, 2595, 1998, 2001, 5378, 7264, 2012, 6708, 2000, 3449, 17161, 1998, 17318, 2035, 1996, 2126, 2000, 2047, 2259, 1012, 2530, 2250, 4671, 1998, 4060, 7184, 13095, 2020, 2145, 1999, 2449, 1012, 3534, 2250, 3665, 2363, 6656, 2000, 7949, 2049, 2434, 5862, 1011, 3050, 3349, 2326, 2000, 2624, 5277, 2004, 1996, 2670, 7342, 1012, 1996, 2034, 3462, 2001, 5115, 2013, 11409, 25190, 2232, 2492, 2006, 2251, 1015, 1012, 1037, 12964, 4306, 1997, 2195, 4595, 8534, 1996, 9271, 1998, 1996, 19744, 2018, 2000, 2022, 8394, 1012, 4405, 1054, 1012, 1048, 1012, 2128, 19968, 2378, 2633, 4196, 2125, 1037, 2309, 1011, 3194, 10321, 2871, 1011, 1038, 1010, 2007, 2686, 2005, 2176, 5467, 1998, 1037, 11712, 1997, 2250, 21397, 1010, 2012, 2184, 1051, 1521, 5119, 2012, 2305, 1012, 3945, 15733, 2013, 3212, 3719, 1999, 1996, 6496, 14801, 1996, 4946, 1999, 1996, 3712, 1998, 2019, 8620, 1997, 3157, 3212, 9738, 1010, 9362, 2011, 5902, 17891, 1010, 5642, 1996, 4946, 17192, 1012, 3534, 2250, 3665, 2574, 2150, 1037, 2112, 1997, 2142, 2250, 3210, 1998, 1996, 2500, 3529, 2624, 5277, 5419, 2030, 2020, 2999, 2011, 2047, 3316, 1010, 1998, 1996, 24770, 2253, 2006, 1012, 2005, 2028, 4766, 2095, 2624, 5277, 2018, 1037, 3622, 3462, 17318, 2004, 2521, 2004, 6708, 1012, 1999, 3433, 2000, 22512, 2013, 2624, 5277, 1010, 2137, 13095, 1010, 8646, 1997, 2137, 2250, 3210, 1010, 2794, 1037, 18462, 2624, 5277, 1011, 6708, 10382, 7176, 2007, 2049, 5865, 1011, 3050, 3349, 2250, 21397, 2799, 1012, 5595, 7038, 1997, 2250, 21397, 1037, 2154, 2020, 3223, 2000, 5441, 1996, 2326, 1012, 2130, 2295, 2726, 8945, 7849, 1010, 3208, 1997, 1996, 5734, 2533, 1997, 1996, 4574, 1997, 6236, 1010, 2250, 21397, 2098, 21972, 14219, 1010, 1996, 3635, 9095, 2071, 2025, 2022, 5224, 1998, 1996, 2326, 2001, 8944, 1012, 3909, 2001, 2145, 1037, 4119, 2000, 1996, 9191, 1012, 1037, 2334, 2611, 2315, 7920, 3656, 1010, 2040, 2018, 2042, 3909, 2005, 2069, 1037, 2095, 1998, 2218, 1037, 2450, 1521, 1055, 7998, 2501, 1010, 2001, 2000, 3535, 1037, 2028, 1011, 2644, 3462, 2408, 2406, 1010, 2013, 2624, 5277, 2000, 12948, 1010, 2047, 3933, 1012, 2016, 4196, 2014, 4600, 8209, 18847, 11751, 2013, 11409, 25190, 2232, 2492, 1012, 2009, 14648, 2646, 2391, 8840, 2863, 1999, 1996, 9666, 1998, 3478, 2000, 3154, 1996, 6465, 1012, 2016, 2351, 1999, 1996, 21056, 1012, 1999, 2624, 5277, 1996, 5734, 3068, 2029, 2018, 2042, 2318, 2061, 8740, 2850, 18436, 2135, 8990, 9955, 1012, 9493, 1056, 1012, 3976, 2018, 5071, 1996, 8798, 1997, 1996, 5943, 2948, 2194, 2021, 1996, 2353, 2035, 1011, 3384, 4946, 2029, 1996, 2194, 2550, 1010, 1998, 2006, 2029, 2061, 2172, 2018, 2042, 17292, 1010, 2179, 2053, 6234, 17394, 1012, 5734, 3316, 6974, 2036, 2020, 14489, 1012, 1996, 6245, 2211, 2007, 3998, 1998, 2043, 2009, 3092, 1010, 2045, 2020, 2069, 2055, 5595, 1012, 2021, 3037, 1999, 3909, 2106, 2025, 19557, 2618, 1012, 1999, 1996, 2621, 1997, 4739, 3976, 2165, 2010, 2564, 1010, 2093, 2336, 1010, 1037, 4405, 1998, 1037, 15893, 1998, 2007, 1996, 5943, 4946, 5520, 6352, 2692, 2661, 2408, 2406, 1010, 2013, 2624, 5277, 2000, 2047, 12003, 1010, 4404, 1010, 7244, 2091, 2006, 5595, 13586, 1999, 3174, 1011, 2274, 2163, 1012, 6399, 9188, 1996, 4946, 1996, 1523, 3909, 13640, 1012, 1524, 2009, 2001, 2307, 11845, 2021, 2853, 2053, 24042, 1012, 1996, 2353, 1998, 2197, 4946, 2550, 2011, 5943, 2948, 2776, 2001, 2853, 2000, 1037, 4916, 3813, 2005, 2224, 1999, 1996, 4157, 3119, 1012, 5943, 2357, 2000, 5155, 18911, 1998, 6090, 2015, 2005, 1996, 3212, 1012, 8149, 4575, 2333, 3031, 11409, 25190, 2232, 2492, 1998, 2001, 9283, 1037, 3909, 2082, 1012, 1996, 12893, 1999, 1996, 2142, 2163, 1010, 3132, 3383, 2000, 3056, 4280, 2004, 2009, 2453, 2031, 2042, 1010, 2018, 2053, 3466, 2006, 1996, 7095, 1011, 2806, 14705, 2917, 1996, 3675, 1012, 2006, 2251, 2676, 1010, 4479, 1010, 1996, 6745, 2804, 2000, 1996, 12943, 6692, 10250, 25099, 7001, 1010, 1037, 12403, 2007, 2049, 12679, 1998, 9754, 3550, 5380, 1010, 2001, 2441, 2007, 12276, 10912, 1998, 1037, 2300, 2782, 1012, 8442, 2661, 8736, 2148, 1037, 3309, 1998, 12219, 9270, 2020, 2441, 2012, 4372, 5054, 8447, 1010, 2007, 1996, 2280, 8366, 8362, 3410, 1010, 2990, 28165, 1010, 2004, 1037, 3082, 14316, 1012, 1996, 12943, 6692, 10250, 25099, 3375, 2059, 5031, 1997, 1037, 3309, 1010, 9270, 1010, 1037, 27563, 2457, 1010, 2061, 2759, 1999, 2216, 2420, 1010, 1037, 7198, 4580, 1010, 5439, 2607, 1998, 7668, 1010, 1998, 1996, 12403, 1010, 5052, 1037, 2561, 5211, 1997, 1002, 1020, 1010, 2199, 1010, 2199, 1012, 1037, 21220, 3868, 2650, 2001, 2794, 2101, 1012, 2769, 14016, 2408, 1996, 12219, 7251, 16360, 14326, 1996, 5211, 2471, 2004, 3435, 2004, 2009, 2001, 2985, 1012, 2004, 1037, 3213, 5220, 2007, 1996, 3496, 2626, 1024, 1523, 23473, 2013, 1996, 2264, 1998, 2225, 1010, 16834, 8520, 2013, 1996, 16865, 1010, 2137, 2449, 5939, 3597, 5644, 1998, 2576, 4177, 1010, 3297, 3415, 1999, 2998, 1998, 2265, 2449, 1010, 2130, 20067, 2015, 18379, 2011, 1996, 13574, 3690, 1010, 2035, 2371, 1996, 6297, 1997, 12943, 6692, 10250, 25099, 1012, 1524, 2008, 2624, 5277, 2790, 2000, 2031, 6376, 1996, 5409, 1997, 1996, 8465, 1997, 1996, 6245, 2001, 5228, 8368, 2135, 2011, 1996, 2624, 5277, 2586, 2006, 2254, 1015, 1010, 4739, 1024, 1523, 1996, 5688, 2090, 2256, 3103, 1011, 17336, 3962, 1997, 3011, 1998, 1996, 4586, 1011, 5391, 4534, 1997, 1996, 2779, 2789, 2103, 1010, 2003, 2053, 3618, 2084, 1996, 5688, 2090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2007, 1996, 3098, 1997, 1996, 2047, 2259, 11081, 3500, 2731, 3409, 1999, 9925, 1010, 13109, 1010, 2057, 2097, 2085, 2298, 2012, 2169, 2597, 2006, 1996, 2136, 2000, 14358, 2037, 9592, 1999, 2325, 1012, 2044, 1037, 15640, 2297, 2161, 2007, 1037, 9238, 21834, 2094, 2007, 3278, 6441, 1996, 11081, 2031, 24501, 6979, 28579, 1996, 5877, 2007, 1037, 2843, 1997, 4840, 5344, 2000, 3693, 2070, 2214, 3924, 1012, 2292, 1521, 1055, 2298, 2012, 2068, 1012, 5252, 2132, 3051, 1010, 2382, 1006, 1012, 22884, 1010, 2410, 17850, 2015, 1010, 4749, 23583, 1010, 11502, 2399, 1007, 2066, 2087, 17652, 4599, 4074, 9172, 2074, 5071, 2008, 2044, 2010, 2161, 1011, 2146, 8636, 2013, 2350, 2223, 3598, 2005, 2478, 2836, 1011, 20226, 5850, 2008, 2002, 2052, 13746, 2010, 3962, 2004, 1996, 2136, 1521, 1055, 3225, 2353, 18038, 1012, 2002, 1006, 1998, 2057, 2035, 1007, 5071, 3308, 1012, 1996, 11081, 1010, 2040, 3734, 2132, 3051, 2013, 1996, 2624, 5277, 21577, 2006, 2251, 2570, 2197, 2095, 1999, 3863, 2005, 1999, 3790, 2121, 8675, 2121, 11365, 5943, 2618, 1998, 2157, 1011, 4375, 14696, 9824, 10999, 2139, 13723, 1010, 4669, 2054, 2027, 2387, 2044, 1996, 8003, 2718, 1012, 21950, 2007, 2416, 11525, 2015, 1998, 2459, 23583, 1999, 5388, 2399, 2044, 1996, 3066, 1012, 2061, 2172, 2061, 2008, 1996, 11081, 2772, 2132, 3051, 2000, 1037, 2047, 2176, 1011, 2095, 1010, 1002, 2753, 2454, 3066, 2006, 11703, 1012, 2321, 1012, 2027, 2036, 2031, 2042, 3228, 1037, 1011, 8473, 20385, 2008, 2027, 2079, 2025, 3599, 2215, 2032, 2613, 6649, 1012, 2027, 2031, 2081, 2009, 3154, 2027, 2031, 2053, 6808, 1997, 7079, 2032, 1037, 2186, 1002, 1020, 2454, 5821, 29563, 2349, 9172, 2004, 2002, 5829, 2039, 1996, 2035, 1011, 2051, 2188, 2448, 10535, 1012, 2044, 23658, 2132, 3051, 2004, 1996, 3225, 2353, 18038, 2027, 2081, 2009, 2124, 2008, 9172, 2089, 2022, 2699, 2041, 2012, 2034, 2918, 2004, 1037, 4022, 10200, 2000, 2928, 8915, 7646, 3771, 2050, 1012, 2006, 2327, 1997, 2008, 2027, 2031, 5393, 2008, 4397, 3734, 2034, 18038, 1013, 21033, 9674, 3557, 2097, 2022, 1996, 2136, 1521, 1055, 3078, 4351, 18694, 2023, 2161, 1012, 2054, 1521, 1055, 2279, 1029, 13041, 1037, 1011, 8473, 1037, 26008, 1998, 4129, 2032, 2002, 2097, 2022, 2112, 1997, 1996, 17652, 3346, 5286, 3626, 1012, 2045, 2003, 2053, 4797, 2008, 1996, 4464, 1011, 2095, 1011, 2214, 2093, 1011, 2051, 2137, 2223, 2087, 7070, 2447, 17210, 1996, 3949, 2002, 2003, 2893, 2138, 1997, 1996, 3658, 2002, 2038, 2409, 2055, 2010, 4319, 2224, 1998, 1996, 2126, 2002, 11669, 2098, 1996, 3029, 2802, 2010, 3947, 2000, 2031, 2010, 8636, 17068, 1012, 2021, 2129, 2009, 14670, 2132, 3051, 3464, 2000, 2022, 2464, 1012, 2132, 3051, 2003, 2048, 3692, 3718, 2013, 1037, 2476, 2095, 1999, 2029, 2002, 2718, 1012, 24921, 2007, 2861, 2188, 3216, 1998, 10630, 23583, 2005, 1996, 21577, 1999, 16679, 3560, 9004, 3597, 2380, 1012, 2006, 2327, 1997, 2008, 2002, 2001, 3018, 1037, 2751, 15913, 2008, 2161, 1998, 2002, 2180, 1996, 3165, 23667, 4590, 2400, 2012, 2353, 2918, 1012, 2144, 2059, 2132, 3051, 2038, 5357, 6778, 2000, 1037, 10694, 2067, 4544, 2008, 29611, 1037, 2522, 28228, 3385, 2063, 13341, 2197, 2251, 1012, 2132, 3051, 26015, 2000, 2718, 1012, 5539, 2007, 2321, 11525, 2015, 1998, 2753, 23583, 2005, 1996, 21577, 1999, 2286, 1998, 2002, 2001, 7294, 2069, 1012, 22777, 1999, 2251, 2043, 1996, 11081, 2081, 1996, 3066, 1012, 1996, 11081, 2020, 3140, 2046, 2437, 1996, 3066, 2138, 9172, 1521, 1055, 2161, 1011, 2146, 8636, 2187, 2068, 2302, 2019, 5281, 2353, 18038, 2006, 1996, 9238, 1012, 1996, 11081, 3832, 2000, 2707, 5163, 3779, 2012, 1996, 2597, 2750, 1996, 2755, 2002, 2018, 2210, 3325, 2045, 1012, 2021, 3208, 3533, 21025, 25561, 2072, 2855, 2357, 2000, 1996, 2676, 1011, 2095, 1011, 2214, 8305, 5943, 2618, 2044, 1037, 2980, 3500, 1998, 4248, 2707, 2007, 1996, 7151, 1999, 2258, 1012, 2021, 5943, 2618, 1521, 1055, 7151, 2855, 12981, 1998, 1996, 11081, 3092, 2039, 2478, 1037, 2186, 1997, 2867, 2107, 2004, 15039, 4575, 1010, 3660, 2946, 5974, 1010, 3235, 10975, 9365, 1998, 27838, 15534, 12819, 2127, 2132, 3051, 2001, 4663, 1012, 2132, 3051, 1010, 1037, 6942, 1011, 18694, 1010, 2515, 10295, 1996, 3754, 2000, 2718, 2005, 2373, 1012, 2002, 2515, 2031, 3313, 1011, 15340, 11525, 2015, 1999, 2274, 1997, 1996, 2627, 2416, 3692, 1012, 2174, 1010, 2060, 2084, 1996, 2861, 11525, 2015, 2002, 2718, 1999, 2262, 2010, 2279, 3284, 2561, 2001, 1996, 2410, 2002, 2038, 2718, 1996, 2627, 2048, 3692, 1012, 2061, 2003, 2002, 1037, 2382, 1011, 11525, 3124, 2030, 2410, 1011, 11525, 3124, 1029, 1996, 11081, 2052, 7392, 2005, 2322, 2030, 2061, 1012, 1996, 16929, 21948, 2323, 2025, 2428, 2022, 2004, 2172, 1997, 2019, 3277, 2138, 2132, 3051, 2003, 3517, 2000, 2718, 2593, 4369, 2030, 5066, 1999, 1996, 9640, 2344, 1012, 2021, 2027, 2071, 2224, 2070, 2537, 2005, 1996, 2896, 2431, 1997, 1996, 2344, 2023, 2161, 2138, 2037, 10048, 2003, 2025, 2004, 3928, 2004, 17652, 2780, 2031, 2042, 1999, 1996, 2627, 1012, 2009, 2003, 2132, 3051, 1521, 1055, 3639, 1996, 11081, 2024, 5186, 7537, 2055, 1012, 2295, 9172, 2209, 1996, 2597, 2044, 2383, 2180, 2048, 2751, 11875, 2004, 1037, 25359, 2007, 1996, 3146, 7181, 2002, 2196, 2428, 2001, 2641, 2062, 2084, 1037, 2978, 2682, 2779, 5600, 2135, 2012, 1996, 2597, 1012, 2132, 3051, 2003, 1037, 6196, 3357, 2039, 1010, 3391, 2065, 2010, 2067, 3314, 2024, 5621, 2104, 2491, 1012, 2002, 5462, 2069, 2809, 10697, 2012, 1996, 2597, 2197, 2161, 1998, 1996, 11081, 2020, 2200, 3407, 2000, 2156, 2032, 2045, 2397, 2197, 2161, 2044, 2027, 3427, 1037, 7700, 1997, 2867, 3046, 2000, 2377, 1996, 2597, 3041, 1012, 1037, 2397, 1011, 2161, 4544, 2000, 8915, 7646, 21302, 3140, 1996, 11081, 2000, 2130, 5670, 2132, 3051, 2000, 2034, 2918, 2000, 6039, 1999, 2005, 2416, 4627, 1012, 2132, 3051, 2018, 2069, 2209, 1996, 2597, 1999, 2048, 3025, 2399, 2021, 1996, 11081, 2020, 7143, 2138, 1997, 1996, 2116, 6441, 2008, 25537, 2037, 9238, 1999, 2297, 1012, 2132, 3051, 2097, 10152, 2006, 2652, 2353, 2918, 1998, 3497, 2097, 2025, 2022, 2478, 1037, 2034, 18038, 1521, 1055, 10210, 2102, 15933, 1999, 1996, 18921, 19763, 3085, 2925, 1012, 2004, 2005, 1037, 1011, 8473, 1010, 2002, 2988, 2000, 3500, 2731, 2048, 2420, 2220, 2006, 6928, 1998, 2056, 2002, 2001, 2559, 2830, 2000, 3045, 1037, 9238, 3962, 2007, 1996, 2136, 1012, 2054, 2008, 3962, 2097, 2022, 3464, 2000, 2022, 2464, 2138, 21025, 25561, 2072, 2038, 2053, 2801, 2054, 9172, 2038, 2187, 1999, 1996, 4951, 1012, 2044, 2035, 1010, 9172, 2038, 2069, 2209, 1999, 2069, 4008, 2399, 2058, 1996, 2627, 2048, 3692, 2349, 2000, 6441, 1998, 1996, 8636, 1012, 2002, 2106, 2377, 1999, 13092, 2399, 1999, 2262, 2021, 2104, 21046, 18697, 2094, 2011, 7294, 1012, 24231, 2007, 2324, 11525, 2015, 1998, 5401, 23583, 1012, 2021, 1037, 1011, 8473, 1010, 2000, 2010, 4923, 1010, 2001, 21931, 2006, 6928, 1012, 1523, 2157, 2085, 1010, 1045, 1521, 1049, 2074, 4208, 2006, 2437, 2023, 2136, 1010, 1524, 9172, 2409, 12060, 1012, 1523, 5525, 2009, 2001, 1037, 5931, 2095, 1010, 2021, 1045, 1521, 1049, 2200, 7568, 2008, 1521, 1055, 2369, 2033, 1998, 1045, 2031, 1037, 3382, 2000, 11504, 2191, 2023, 2136, 1012, 1524, 3251, 9172, 3084, 1996, 2136, 2030, 2025, 1996, 11081, 2024, 2145, 2006, 1996, 8103, 2000, 7079, 2032, 2062, 2084, 1002, 3438, 2454, 2005, 1996, 2279, 2093, 3692, 1012, 2061, 2037, 7047, 2065, 2002, 2323, 6904, 21928, 1999, 3500, 2731, 2024, 3132, 1012, 6276, 2032, 6065, 2003, 2025, 2019, 5724, 2428, 1012, 1037, 3119, 2003, 2825, 2021, 2003, 2045, 2151, 2136, 2008, 2052, 2215, 1037, 14059, 2732, 2040, 2097, 2131, 22017, 2098, 5973, 2002, 3632, 1029, 2065, 2045, 2001, 1037, 2136, 2008, 2052, 2215, 9172, 1006, 2107, 2004, 1996, 27055, 1999, 2010, 9627, 1997, 5631, 1007, 2009, 2052, 2812, 2008, 1996, 11081, 2052, 2145, 2031, 2000, 3477, 1037, 2350, 4664, 1997, 2010, 3206, 1012, 2061, 9172, 3464, 1996, 5016, 18255, 13181, 4757, 2008, 17991, 2105, 1996, 26082, 1997, 2236, 3208, 4422, 5356, 2386, 1998, 1996, 2136, 1521, 1055, 6605, 2236, 4256, 11085, 14233, 13578, 10087, 2099, 1012, 2027, 2064, 1521, 1056, 15389, 1996, 5829, 2027, 2052, 2066, 2000, 5335, 1996, 2136, 2138, 1997, 2023, 5016, 3255, 1999, 1996, 10007, 1999, 9172, 1012, 2323, 1996, 11081, 5630, 2000, 9436, 3209, 1997, 9172, 2027, 2052, 2031, 2000, 2424, 3209, 1037, 10200, 2000, 2132, 3051, 1012, 4575, 1010, 3590, 1010, 2064, 2377, 1996, 2597, 1999, 1037, 18392, 2021, 2010, 7151, 2052, 2022, 1037, 2502, 14000, 1012, 1006, 2002, 2003, 2476, 1012, 22018, 18694, 2007, 7078, 2053, 2373, 1012, 1007, 2426, 1996, 2512, 1011, 9238, 13260, 2229, 2003, 2484, 1011, 2095, 1011, 2214, 10104, 5655, 14891, 26132, 1010, 2040, 2718, 1012, 13427, 2007, 2184, 11525, 2015, 1998, 4720, 23583, 2012, 6420, 1011, 1037, 3449, 17161, 2197, 2161, 1012, 2021, 2002, 2038, 2053, 2350, 1011, 2223, 3325, 1012, 3565, 1011, 4942, 4560, 14255, 16570, 2050, 1010, 2423, 1010, 12822, 1012, 20405, 2007, 2184, 11525, 2015, 1998, 3438, 23583, 1999, 7558, 2399, 2012, 6420, 1011, 1037, 26123, 1013, 20635, 1011, 23189, 1999, 2297, 1012, 2021, 2002, 2003, 3952, 1037, 2690, 1999, 3790, 2121, 2007, 2069, 2028, 3576, 1011, 2223, 2208, 2012, 1996, 2597, 1999, 2286, 1012, 12819, 2038, 2042, 2207, 1998, 2045, 2003, 2053, 2447, 2012, 1996, 6420, 1011, 1037, 2504, 2040, 2003, 2379, 1037, 2350, 1011, 2223, 3737, 5724, 1012, 2045, 2003, 1037, 2146, 1011, 2846, 5724, 2005, 1996, 2597, 2021, 2002, 2003, 7880, 2379, 3201, 2005, 1996, 15279, 1012, 2002, 2003, 2570, 1011, 2095, 1011, 2214, 2187, 2100, 1011, 11820, 4388, 14855, 11239, 4135, 1010, 2040, 1996, 11081, 3479, 14935, 1999, 1996, 2034, 2461, 1997, 1996, 2286, 2034, 1011, 2095, 2447, 4433, 1012, 1996, 11081, 2514, 2002, 2038, 1037, 22701, 1011, 2081, 2187, 2100, 2373, 7370, 2005, 17652, 3346, 1998, 2002, 2525, 2038, 2404, 2039, 2410, 11525, 2015, 1999, 2286, 1998, 2385, 2197, 2161, 1012, 14855, 11239, 4135, 2036, 5225, 1999, 5187, 3216, 2096, 9640, 1012, 25191, 2012, 2465, 1011, 1037, 9925, 1999, 2297, 1012, 14855, 11239, 4135, 2097, 2025, 2022, 2751, 15913, 3453, 2012, 2353, 2021, 2002, 2003, 9229, 1998, 2002, 2038, 6581, 2849, 3997, 2005, 1996, 2597, 1012, 1996, 11081, 2079, 2025, 2228, 2002, 2097, 2022, 3201, 2127, 2355, 1012, 2021, 2027, 2024, 17772, 2002, 2097, 3613, 2000, 4503, 1012, 2002, 2003, 2747, 4396, 2004, 1996, 11081, 2353, 2190, 9824, 1012, 2037, 4985, 1011, 4396, 9824, 2003, 8374, 1998, 23049, 2906, 1010, 2539, 1010, 2040, 2001, 2772, 2041, 1997, 8326, 1999, 2249, 1012, 1998, 23049, 2906, 6915, 2220, 1999, 1996, 2297, 2161, 2021, 2855, 27755, 2098, 2000, 2718, 1012, 26499, 1999, 1996, 2117, 2431, 1997, 1996, 2161, 2007, 2465, 1011, 1037, 10907, 1006, 8040, 1007, 1012, 1996, 2157, 1011, 4375, 2373, 5081, 2038, 1037, 2200, 4248, 7151, 1998, 2002, 2003, 11310, 2000, 2022, 2583, 2000, 2718, 2322, 2030, 2062, 11525, 2015, 1037, 2161, 1012, 1998, 23049, 2906, 2145, 3791, 2000, 2147, 2006, 2010, 5127, 9009, 1998, 2008, 2097, 2393, 2032, 5333, 2010, 2779, 1012, 2002, 2036, 2003, 5525, 2667, 2205, 2524, 1999, 1996, 2492, 2138, 2002, 2038, 5462, 4868, 10697, 1999, 20035, 4013, 2399, 2012, 2353, 2918, 1012, 2000, 2360, 2002, 2003, 1037, 2147, 1999, 5082, 2003, 5128, 2009, 19499, 1012, 2021, 1996, 11081, 2097, 2022, 5776, 2007, 1996, 2402, 6238, 1012, 3452, 2597, 4106, 1024, 11706, 1996, 2755, 1996, 11081, 2018, 1996, 8424, 2000, 4487, 4757, 1037, 1011, 8473, 2011, 6608, 2132, 3051, 2000, 1037, 2146, 1011, 2744, 3066, 1998, 13041, 2032, 2597, 2003, 1037, 2204, 2518, 1012, 1996, 11081, 3432, 2079, 2025, 2113, 2065, 9172, 2064, 2377, 2012, 1037, 2152, 2504, 4902, 1998, 2132, 3051, 2003, 1037, 11519, 2991, 5963, 2597, 1012, 1996, 2502, 3246, 2038, 2000, 2022, 2008, 2132, 3051, 2003, 2583, 2000, 6073, 2125, 2010, 2067, 24185, 2229, 2438, 2000, 2718, 2322, 11525, 2015, 1998, 3298, 1999, 1037, 11519, 3815, 1997, 3216, 2012, 1996, 2896, 2203, 1997, 1996, 9640, 2344, 1012, 11005, 3240, 2003, 1037, 2476, 1012, 20549, 18694, 1998, 1996, 11081, 2052, 7392, 2005, 2008, 1999, 2325, 1012, 2132, 3051, 2036, 10659, 2000, 2022, 1037, 2502, 2393, 5600, 2135, 2065, 2002, 2003, 7965, 1012, 1996, 2280, 2751, 15913, 3453, 2038, 2204, 4248, 2791, 1998, 12943, 15148, 2012, 1996, 2980, 3420, 1998, 2002, 2003, 5214, 1997, 2437, 2070, 12656, 3248, 1012, 2010, 3639, 2097, 5770, 1996, 23232, 1998, 1996, 11081, 2097, 2342, 2000, 5787, 1996, 3216, 2027, 2507, 2039, 2023, 2161, 1012, 3251, 9172, 2003, 2583, 2000, 2191, 1996, 2136, 2004, 2132, 3051, 1521, 1055, 10200, 2003, 2019, 2330, 3160, 1012, 2058, 1996, 2086, 9172, 2038, 2042, 22017, 2098, 1999, 2296, 3346, 2002, 2003, 2209, 1999, 3272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 12654, 1997, 3185, 1996, 9467, 1006, 2249, 1007, 5436, 1997, 1996, 3185, 1996, 3185, 2003, 2055, 1037, 2711, 2315, 8825, 2040, 2003, 2019, 3237, 1998, 2573, 1999, 1037, 2047, 2259, 2103, 1012, 2002, 2038, 1037, 2919, 10427, 1997, 5777, 2007, 20833, 1998, 2002, 2036, 15429, 3126, 20179, 2015, 2012, 2147, 2006, 3365, 2335, 3679, 1012, 2028, 1996, 2154, 2002, 5927, 1037, 2450, 2040, 2003, 4147, 2019, 8147, 3614, 1998, 4088, 2000, 27978, 2007, 2014, 2021, 2016, 2003, 8796, 1998, 3727, 1012, 2044, 2008, 1010, 2002, 3632, 2000, 1996, 5723, 1998, 15429, 3126, 20179, 2015, 1012, 7987, 10497, 2239, 1998, 2010, 5795, 2585, 2024, 2036, 2204, 2814, 1998, 2027, 2024, 7294, 2006, 2308, 1999, 1037, 3347, 2007, 2029, 7987, 10497, 2239, 2038, 3348, 2101, 2006, 8825, 2038, 2042, 9217, 1996, 4455, 2013, 2014, 2905, 1010, 24761, 6508, 1998, 2002, 3310, 2000, 2113, 2008, 2016, 2003, 2183, 2083, 1037, 19010, 1012, 2012, 2147, 1010, 2010, 3274, 12191, 4152, 10372, 2007, 1996, 7865, 1998, 2032, 2101, 2009, 2001, 2179, 2008, 1996, 2291, 2018, 1037, 7564, 1997, 26932, 3430, 2306, 2009, 1012, 2174, 1010, 1996, 5795, 1010, 2585, 2245, 2008, 2009, 2001, 8825, 1521, 1055, 25204, 2040, 2003, 3625, 2005, 2035, 2023, 1012, 2119, 7987, 10497, 2239, 1998, 2585, 3632, 2000, 1996, 3347, 1998, 12197, 24761, 6508, 1521, 1055, 2444, 2836, 1012, 2023, 3084, 8825, 2200, 6832, 1998, 2585, 1998, 24761, 6508, 2031, 3348, 2007, 2169, 2060, 1999, 8825, 1521, 1055, 5010, 1012, 8825, 3216, 2185, 1999, 12721, 1998, 2101, 2008, 2305, 24761, 6508, 5363, 2000, 2131, 1999, 2793, 2007, 8825, 2021, 2002, 10220, 20322, 1998, 4136, 2014, 2000, 2131, 2041, 1997, 1996, 2282, 1006, 7842, 13094, 2015, 1010, 2249, 1007, 1012, 2059, 8825, 3632, 2006, 3058, 2007, 2010, 11729, 19887, 1012, 19887, 2038, 2042, 5459, 3728, 1998, 2003, 2200, 3893, 2875, 8426, 2007, 8825, 2021, 8825, 4136, 2014, 2008, 3904, 1997, 2010, 4262, 2131, 2936, 2084, 2176, 2706, 1998, 2027, 2119, 2175, 2037, 3584, 3971, 1012, 1996, 2168, 2305, 24761, 6508, 3310, 2000, 2113, 2008, 8825, 2003, 15429, 3126, 14479, 2075, 1999, 2010, 2282, 1012, 8825, 4150, 2200, 4854, 1998, 2002, 27764, 2015, 1997, 2035, 1997, 2010, 26932, 3430, 2004, 2092, 2004, 2010, 12191, 1998, 2012, 2147, 1010, 2002, 8107, 19887, 2021, 1996, 2168, 2305, 2002, 2003, 4039, 2000, 5441, 2010, 13760, 1998, 2016, 3727, 1012, 3859, 2044, 2008, 1010, 2002, 2003, 3491, 2383, 3348, 2007, 1037, 19215, 1999, 1996, 2168, 3309, 2282, 2008, 2002, 17414, 2005, 19887, 1006, 7842, 13094, 2015, 1010, 2249, 1007, 1012, 2028, 2305, 2043, 2002, 2003, 2746, 2188, 2296, 4628, 2003, 2356, 2000, 2681, 1996, 3345, 2004, 2009, 2003, 1996, 2553, 1997, 2610, 5057, 1998, 1037, 2825, 5920, 1012, 8825, 3202, 4455, 24761, 6508, 2021, 2016, 2515, 2025, 6869, 1012, 2002, 2059, 16460, 3216, 2000, 2188, 1998, 4858, 2008, 24761, 6508, 2003, 3564, 2006, 1996, 2723, 1997, 1996, 5723, 1998, 2119, 2014, 12150, 2024, 23587, 1012, 2002, 5363, 2524, 2000, 2644, 1996, 9524, 1998, 2059, 4455, 2005, 2393, 1012, 14599, 1010, 2016, 13655, 1998, 2016, 4473, 2014, 2000, 2717, 1999, 1996, 2902, 2793, 1012, 2002, 3727, 1998, 4627, 3788, 1999, 1996, 2448, 2127, 2002, 4212, 2091, 1998, 2707, 6933, 1012, 2044, 1037, 2096, 1010, 8825, 2003, 3491, 2183, 2083, 1996, 10798, 2559, 2105, 1998, 4531, 1996, 2168, 2450, 2008, 2003, 3491, 1999, 1996, 2927, 1997, 1996, 3185, 1012, 2023, 2051, 2105, 2016, 17820, 2015, 1996, 27978, 2174, 1010, 8825, 16390, 2015, 1998, 2044, 2008, 1010, 1996, 3898, 3632, 2304, 10775, 1996, 14819, 2925, 1997, 8825, 1012, 2591, 5090, 1998, 14260, 7339, 2004, 1996, 14260, 7339, 2003, 3141, 2000, 1996, 22671, 5248, 1998, 2045, 2003, 1996, 3618, 3747, 1997, 1996, 2554, 1010, 2029, 2089, 2689, 1996, 2711, 7339, 1997, 3241, 1998, 1999, 2023, 2126, 1010, 2306, 1996, 2591, 3252, 1010, 2169, 3265, 4324, 1996, 3145, 2173, 1998, 1996, 3276, 2306, 2122, 3182, 4503, 1996, 2878, 2591, 3252, 1012, 1996, 2591, 3252, 8092, 1996, 2111, 1999, 2536, 2367, 3971, 1012, 2045, 17626, 2008, 2003, 3378, 2007, 1037, 2535, 1998, 2129, 2019, 3265, 2008, 4324, 1037, 2173, 2097, 2941, 16582, 1012, 2005, 6013, 1010, 2057, 5987, 1996, 7435, 2000, 16582, 1999, 1037, 3327, 5450, 1012, 2023, 2003, 2170, 17626, 1012, 2122, 4460, 2024, 3495, 5799, 2007, 1996, 6550, 1998, 2122, 6550, 2024, 2124, 2004, 2591, 6125, 1012, 2296, 3265, 2003, 5799, 2046, 2195, 2367, 2591, 6125, 1012, 2122, 2591, 6125, 2421, 2256, 2945, 1010, 2147, 1010, 1998, 2814, 1012, 2169, 1997, 2122, 4460, 2038, 1037, 3056, 3815, 1997, 3570, 3378, 2007, 2009, 1998, 2070, 1997, 2122, 4460, 2024, 2062, 2590, 2000, 2149, 1012, 2005, 6013, 1010, 2000, 2028, 3265, 2010, 8628, 2024, 1037, 2087, 2590, 2096, 2005, 2070, 1997, 1996, 3633, 2024, 2155, 3310, 2034, 2096, 2045, 2024, 2111, 2040, 2729, 2062, 2055, 2037, 2814, 1012, 1996, 2111, 5248, 2003, 5105, 2011, 1996, 2554, 2061, 2122, 2591, 6125, 2064, 3495, 3747, 1996, 2740, 1997, 2019, 3265, 2247, 2007, 1996, 5300, 1998, 1996, 16928, 18759, 3672, 2004, 2092, 2004, 2009, 3640, 1996, 3168, 2000, 2008, 3265, 2108, 1996, 2112, 1997, 2023, 2554, 1012, 1996, 2535, 1997, 2591, 2490, 2013, 1996, 2155, 1010, 2814, 1998, 8628, 2064, 2022, 1037, 4121, 19292, 23715, 2005, 2116, 2111, 2004, 2023, 4473, 2068, 2000, 2562, 2183, 2005, 1996, 2047, 6344, 1012, 2429, 2000, 3365, 27338, 2008, 2031, 2042, 4146, 1999, 1996, 3522, 2335, 1010, 2111, 2040, 2031, 2591, 6125, 2079, 2025, 9015, 2013, 2151, 5177, 7355, 2004, 2027, 2123, 1521, 1056, 2031, 2000, 2227, 1996, 6911, 3993, 2724, 1997, 2166, 2894, 1012, 2037, 2591, 2897, 4473, 2068, 2000, 3745, 2037, 5346, 1998, 2023, 3084, 2068, 2062, 6625, 1999, 1996, 3679, 2166, 1012, 2174, 1010, 2045, 2003, 2178, 3193, 2008, 2003, 3378, 2007, 2023, 1012, 2111, 2040, 2031, 2062, 3893, 3747, 2006, 2037, 2591, 6125, 2024, 2062, 2024, 2740, 3771, 1998, 2027, 2031, 1037, 2488, 7339, 4953, 1996, 2591, 17606, 1998, 5300, 1012, 2006, 1996, 2060, 2192, 1010, 1996, 2111, 2040, 2031, 1037, 4997, 3747, 2006, 2037, 2591, 6125, 2027, 2453, 2022, 4895, 20192, 24658, 2100, 2119, 2012, 5177, 2004, 2092, 2004, 2591, 2504, 1012, 2023, 3495, 8092, 1996, 25774, 1997, 1996, 3633, 1012, 2488, 6550, 3499, 1996, 3633, 2000, 8980, 5514, 2013, 1996, 15556, 2138, 2027, 2175, 2083, 8276, 6911, 3993, 2335, 1012, 2057, 2035, 2113, 1998, 2009, 2003, 4045, 3973, 16481, 2004, 2092, 2008, 2273, 2040, 2024, 2496, 2444, 2936, 2084, 1996, 2273, 2040, 2024, 17204, 1012, 2023, 6433, 2138, 2043, 1037, 2711, 2038, 2116, 6550, 2000, 2729, 2055, 1055, 1013, 2002, 4627, 2000, 5382, 1996, 2147, 2029, 2003, 29238, 1998, 1055, 1013, 2002, 19821, 2008, 2009, 2003, 2025, 2825, 2000, 6162, 2673, 2035, 1996, 2051, 1012, 2065, 1055, 1013, 2002, 2038, 2053, 2028, 2000, 2729, 2055, 2030, 2053, 2028, 2000, 3745, 2054, 1055, 1013, 2002, 2003, 2183, 2083, 2059, 9135, 19815, 2015, 1999, 1998, 2008, 2711, 2036, 4627, 3241, 2008, 1055, 1013, 2002, 2003, 2025, 2204, 2012, 2505, 2138, 1996, 2504, 1997, 17626, 2175, 2152, 1998, 2009, 4269, 2000, 4607, 1996, 4895, 22852, 2088, 1012, 2085, 2043, 2008, 2711, 2003, 8074, 2205, 2152, 1998, 1996, 7889, 2024, 3020, 2004, 2092, 1012, 1996, 4507, 4332, 2041, 2000, 2022, 2200, 8401, 1998, 2023, 13403, 1996, 3265, 2502, 2051, 1012, 4424, 13449, 1997, 8825, 1998, 24761, 6508, 2030, 18224, 27953, 21252, 7339, 2023, 4150, 6082, 2000, 3305, 2043, 2057, 2831, 2055, 1996, 2048, 3494, 1999, 1996, 3185, 1523, 9467, 1524, 1010, 8825, 1998, 24761, 6508, 1012, 2027, 2024, 2119, 23042, 2000, 4424, 4023, 1998, 1996, 2364, 3114, 2369, 2003, 2008, 2027, 2123, 1521, 1056, 2031, 2116, 6550, 2000, 2729, 2055, 1998, 2023, 3084, 2068, 10206, 1998, 2027, 2131, 9436, 1997, 2037, 9135, 2007, 2393, 1997, 4424, 3450, 1012, 2138, 4286, 2024, 2591, 4176, 1010, 3568, 1010, 2009, 2003, 2200, 2590, 2005, 2068, 2000, 2031, 6550, 2007, 2028, 2178, 1998, 2302, 2023, 3276, 1996, 7691, 2003, 2025, 2825, 1012, 1996, 3663, 1997, 2119, 1996, 6111, 2545, 2064, 2022, 14396, 2000, 1996, 18224, 27953, 21252, 7339, 2004, 2027, 2020, 3241, 1996, 2489, 2523, 1999, 1996, 2088, 1010, 2027, 2020, 16360, 8303, 2075, 1996, 9787, 14982, 2015, 1010, 2004, 2000, 3926, 1996, 10089, 5609, 1010, 2027, 2020, 27427, 5313, 4726, 1999, 1996, 3450, 3141, 2007, 3959, 1012, 1996, 3185, 11230, 1996, 2168, 2801, 1998, 2003, 2055, 1037, 2567, 1998, 2905, 2040, 2024, 27427, 5313, 5999, 1999, 4424, 3450, 10785, 2138, 2027, 2123, 1521, 1056, 2031, 2151, 2060, 3276, 1012, 8825, 2750, 2108, 2019, 3237, 1999, 2047, 2259, 2103, 2069, 14977, 2055, 2010, 3748, 4424, 14714, 2005, 2296, 2450, 2008, 2002, 5927, 2105, 2032, 1012, 2002, 2038, 2042, 3491, 4703, 2383, 3348, 2007, 2116, 2111, 2802, 1996, 3185, 1998, 2043, 2002, 5363, 2000, 2031, 3348, 2007, 2010, 11729, 19887, 2002, 2003, 4039, 2000, 2131, 2019, 13760, 1012, 2023, 2003, 2349, 2000, 1996, 2755, 2008, 2002, 2003, 2183, 2083, 1037, 6911, 3993, 2051, 1998, 2349, 2000, 2023, 2002, 2003, 4039, 2000, 4685, 2043, 2009, 2001, 2734, 1012, 2174, 1010, 2101, 2006, 1010, 2002, 2003, 3491, 2383, 3348, 2007, 1037, 19215, 1012, 2023, 2003, 2138, 2002, 2003, 2062, 6625, 2302, 6550, 2004, 2002, 1998, 2010, 2905, 1025, 24761, 6508, 2987, 1521, 1056, 2031, 3087, 2105, 2068, 1012, 2023, 2755, 2036, 3084, 8825, 2200, 8796, 1998, 2002, 2036, 6732, 2055, 2010, 2905, 1998, 2014, 14624, 1012, 1999, 1996, 3185, 8825, 2038, 2042, 2641, 2004, 1037, 4013, 7485, 10980, 2102, 1010, 2004, 2002, 2018, 2053, 2812, 1997, 1996, 2537, 1010, 5987, 11897, 1012, 2023, 2003, 1037, 2755, 2008, 1996, 4013, 7485, 10980, 2102, 3594, 2000, 5547, 2037, 9135, 1998, 6911, 2012, 2147, 2083, 1996, 5023, 2477, 1010, 2107, 2004, 3348, 2007, 1996, 20833, 1998, 15429, 3126, 14479, 2075, 1012, 2057, 2064, 17409, 1996, 15511, 2391, 1997, 3193, 2007, 1996, 8825, 1010, 2004, 2002, 2359, 1996, 5165, 2012, 2659, 3465, 2030, 2302, 2116, 2006, 1996, 3679, 3978, 1012, 2023, 2003, 2995, 2008, 1996, 4450, 2465, 1010, 2551, 2006, 1996, 12678, 1999, 1996, 2367, 4411, 2411, 4152, 10206, 2349, 2000, 1996, 6911, 1998, 13136, 1012, 6660, 1010, 2023, 2001, 3047, 2000, 2032, 1010, 2004, 8212, 2010, 2919, 13449, 1012, 1996, 5593, 1997, 8825, 1999, 1996, 3185, 2038, 2042, 8212, 2008, 2002, 2001, 2200, 11004, 1998, 2411, 5342, 2367, 2477, 2013, 2155, 1998, 2814, 2105, 2032, 1012, 1999, 2804, 1010, 2002, 2109, 2000, 3443, 1996, 2219, 10617, 2055, 2010, 3008, 1998, 2155, 2372, 1010, 2029, 2020, 2200, 2330, 2000, 1996, 3348, 2012, 2008, 2051, 1012, 2947, 1010, 1996, 5593, 3690, 2515, 2025, 5383, 1996, 2200, 2204, 3325, 2013, 2032, 1012, 2002, 2109, 2000, 15429, 3126, 20179, 1998, 2228, 2055, 1996, 3348, 2007, 2367, 3057, 1012, 5816, 2000, 1996, 15511, 2391, 1997, 3193, 1010, 1996, 3768, 1997, 6808, 2013, 1996, 3008, 1998, 1996, 2155, 2372, 2003, 1037, 2502, 3114, 1997, 2023, 13449, 1012, 1999, 2010, 5593, 1010, 2002, 2001, 7790, 2006, 2010, 3008, 2005, 2367, 2477, 1012, 6854, 1010, 2010, 3791, 2020, 2025, 16829, 2011, 1996, 3008, 1012, 2947, 1010, 1999, 1037, 8622, 2051, 1010, 2002, 2109, 2000, 2228, 2367, 2477, 1012, 1999, 2765, 1010, 1996, 2804, 1997, 1996, 3348, 1998, 15429, 3126, 14479, 2075, 2234, 2046, 1996, 2166, 1012, 2006, 1996, 2060, 2192, 1010, 2010, 2905, 24761, 6508, 2001, 2379, 2032, 2004, 1037, 2309, 3893, 7814, 1012, 2174, 1010, 2016, 2106, 2025, 2113, 2055, 2023, 3241, 1998, 13449, 3041, 1012, 2947, 1010, 1996, 5593, 1997, 1996, 8825, 2001, 2025, 5341, 1010, 2004, 2002, 2106, 2025, 2031, 1996, 2219, 2965, 1997, 2537, 1010, 2029, 2003, 1037, 2502, 3426, 1997, 2023, 13449, 1012, 1996, 9787, 4301, 1998, 5346, 2272, 2046, 1996, 2166, 1010, 2004, 2045, 2001, 2489, 15222, 8950, 2075, 1012, 2429, 2000, 2032, 1010, 1037, 2711, 3397, 1996, 9787, 4301, 1998, 3110, 2349, 2000, 1996, 6911, 2147, 1998, 3768, 1997, 2383, 2477, 2000, 2079, 1999, 1996, 2166, 1012, 5875, 2135, 1010, 2057, 2064, 14396, 2023, 2801, 2007, 1996, 8825, 1010, 2040, 2038, 2042, 23042, 2000, 3348, 1998, 15429, 3126, 14479, 2075, 1012, 2429, 2000, 2023, 2801, 1010, 2023, 2003, 2035, 2055, 1996, 6091, 2291, 1997, 4286, 1010, 2029, 4012, 11880, 2015, 1996, 2367, 3265, 2000, 2079, 2367, 2477, 1998, 3443, 1996, 23271, 1012, 1996, 8825, 4838, 1996, 2168, 9787, 3110, 2004, 4301, 2349, 2000, 1996, 6808, 1997, 1996, 6091, 2291, 1012, 2023, 2801, 4136, 2149, 2008, 2529, 2411, 2038, 2053, 2491, 2058, 2023, 5248, 1012, 2002, 2921, 1996, 4424, 5248, 1999, 2010, 2568, 1010, 2029, 2419, 2032, 2000, 2156, 2673, 1999, 1996, 6123, 1997, 1996, 3348, 1998, 26932, 3973, 1012, 2002, 2387, 2367, 2477, 1999, 5593, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2045, 2050, 30102, 30108, 2015, 2069, 2028, 2469, 6655, 2005, 2023, 2095, 2050, 30102, 30108, 2015, 8922, 2982, 1024, 2009, 2050, 30102, 30108, 2015, 2183, 2000, 2022, 2062, 4569, 2000, 3422, 2084, 1996, 3585, 7595, 2015, 1012, 1996, 2586, 2005, 8478, 5365, 4898, 1010, 2029, 3140, 1996, 16990, 1997, 1996, 3585, 7595, 2015, 16122, 1010, 2038, 2787, 2000, 8622, 1996, 8922, 2015, 2013, 1996, 28972, 3210, 1012, 2947, 1010, 1996, 2265, 2097, 2022, 3491, 2012, 1022, 1052, 1012, 1049, 1012, 4465, 1006, 13114, 1012, 6049, 1007, 2006, 6568, 1010, 3743, 2013, 24533, 2415, 1999, 3050, 3349, 1012, 2008, 2050, 30102, 30108, 2015, 2204, 2739, 1010, 2144, 2009, 2052, 2031, 2042, 1037, 9467, 2000, 17542, 1996, 12951, 3296, 8922, 2982, 1012, 1999, 3932, 1997, 1996, 19199, 5315, 1010, 2057, 2050, 30102, 30108, 3726, 2787, 2000, 2298, 2067, 2012, 2753, 2502, 5312, 1999, 8922, 2381, 1012, 2057, 2050, 30102, 30108, 3726, 5067, 2039, 1996, 19199, 9248, 1998, 1996, 2087, 13432, 4616, 1010, 2004, 2092, 2004, 1996, 8922, 27571, 10343, 1006, 2066, 4971, 2072, 3158, 8591, 2401, 30102, 30108, 2015, 3377, 2004, 2190, 2047, 3063, 1999, 2901, 1007, 1998, 2060, 2659, 15733, 1012, 2035, 1997, 2122, 5312, 1010, 2119, 2204, 1998, 2919, 1010, 2031, 4117, 2000, 9375, 2054, 2050, 30102, 30108, 2015, 2468, 21137, 30102, 30108, 2015, 5221, 2305, 1012, 3531, 3602, 2008, 2122, 5758, 2024, 3205, 23472, 2135, 1010, 2004, 4941, 2000, 2478, 1037, 5464, 2291, 1012, 2036, 1010, 2057, 2050, 30102, 30108, 2890, 2469, 2008, 2057, 2050, 30102, 30108, 3726, 6404, 1037, 2261, 1997, 1996, 2327, 5312, 1035, 2753, 2086, 1010, 2044, 2035, 1010, 2003, 1037, 2843, 1997, 2598, 2000, 3104, 1035, 2061, 3531, 2393, 2149, 2041, 1012, 3531, 2695, 2115, 2327, 8922, 5758, 2917, 1012, 1015, 1010, 2074, 2005, 11680, 2189, 3138, 1037, 2067, 2835, 2004, 9971, 3960, 2047, 10686, 5222, 2190, 2047, 3063, 1998, 2201, 1997, 1996, 2095, 1006, 2005, 1523, 1996, 6462, 1011, 2091, 2568, 1997, 3960, 2047, 10686, 2050, 30102, 30108, 2050, 30102, 30108, 1007, 1999, 3777, 1012, 2009, 2001, 2025, 1996, 2069, 2051, 2008, 1037, 21699, 5378, 2052, 3556, 2201, 1997, 1996, 2095, 1035, 6316, 6868, 2050, 30102, 30108, 1523, 2053, 6598, 3223, 2050, 30102, 30108, 2050, 30102, 30108, 2052, 2036, 2663, 1999, 3069, 1012, 1016, 1010, 12964, 1037, 2166, 1996, 2200, 2034, 6480, 6344, 8922, 2001, 2445, 2041, 1999, 3705, 2000, 1037, 2092, 1011, 4078, 25164, 17620, 14282, 1012, 2011, 1996, 2051, 1996, 5384, 2001, 2445, 2041, 2153, 1010, 1999, 3551, 2000, 3581, 19643, 1010, 2009, 2001, 3985, 2124, 2004, 1996, 17620, 14282, 6480, 6344, 8922, 2400, 1012, 1017, 1010, 19698, 2552, 8922, 7206, 2131, 2009, 3308, 2012, 2560, 2004, 2411, 2004, 2027, 2131, 2009, 2157, 1012, 1999, 17666, 25807, 1010, 2028, 1997, 1996, 5700, 2350, 19857, 5910, 2001, 2043, 2027, 3856, 1996, 2047, 19698, 24112, 30102, 30108, 2015, 21160, 2718, 1523, 12841, 5040, 2050, 30102, 30108, 2050, 30102, 30108, 2005, 2190, 3824, 1054, 1004, 1038, 3405, 1999, 3547, 1012, 2054, 2842, 2001, 4222, 1029, 2069, 2274, 1997, 1996, 2190, 2774, 1999, 3769, 1011, 2189, 2381, 1035, 1996, 3509, 3337, 2050, 30102, 30108, 1523, 2204, 22755, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 1996, 2523, 1521, 1055, 1523, 24188, 4509, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 1996, 9588, 2015, 1998, 1996, 13008, 2050, 30102, 30108, 2015, 1523, 6928, 6928, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 1996, 8284, 10285, 1521, 1523, 2197, 3345, 2000, 5215, 9337, 2050, 30102, 30108, 2050, 30102, 30108, 1998, 1996, 11555, 1521, 1523, 10508, 19838, 3762, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 1037, 2600, 28005, 2121, 2633, 5222, 2005, 2201, 1997, 1996, 2095, 1999, 3380, 1012, 8922, 7206, 2020, 2397, 1999, 9105, 2039, 2007, 1996, 2335, 1006, 1037, 9874, 2008, 4247, 2000, 2023, 2154, 1007, 1010, 2021, 2027, 5121, 3856, 1037, 2204, 2028, 2000, 2707, 2007, 1035, 1996, 11555, 2050, 30102, 30108, 1523, 17001, 1012, 11565, 2050, 30102, 30108, 2015, 9479, 8072, 2252, 2316, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 1019, 1010, 1037, 2995, 4687, 17458, 4687, 3079, 1996, 100, 2066, 2053, 2060, 1010, 2012, 2560, 2429, 2000, 8922, 7206, 1012, 2002, 2180, 1996, 2087, 28821, 1997, 2035, 22236, 1010, 2201, 1997, 1996, 2095, 1010, 2005, 2093, 5486, 7085, 1035, 1523, 5110, 17084, 3736, 30102, 30108, 2050, 30102, 30108, 1006, 3326, 1007, 1010, 1523, 21570, 2791, 2050, 30102, 30108, 2034, 9599, 2050, 30102, 30108, 2050, 30102, 30108, 1006, 3339, 1007, 1998, 1523, 2774, 1999, 1996, 3145, 1997, 2166, 2050, 30102, 30108, 2050, 30102, 30108, 1006, 3355, 1007, 1012, 2009, 2001, 2107, 1037, 8922, 5321, 2008, 2043, 2703, 4079, 3856, 2039, 1996, 2400, 1999, 3299, 1010, 2005, 1523, 2145, 4689, 2044, 2035, 2122, 2086, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 2002, 15583, 4687, 2005, 2025, 8287, 1037, 2501, 2008, 2095, 1012, 1020, 1010, 2009, 2050, 30102, 30108, 2015, 1037, 5495, 2005, 1996, 2069, 2051, 1999, 8922, 2381, 1010, 1996, 2299, 1997, 1996, 2095, 4696, 4515, 1999, 1037, 5495, 1998, 2048, 22236, 2024, 2445, 2041, 1999, 3301, 1010, 2000, 3347, 10024, 2358, 2890, 29196, 2850, 30102, 30108, 2015, 1523, 16899, 2050, 30102, 30108, 2050, 30102, 30108, 1998, 2139, 14075, 15033, 2050, 30102, 30108, 2015, 1523, 2017, 2422, 2039, 2026, 2166, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 1998, 1010, 2428, 1010, 2040, 2071, 4060, 2090, 2216, 2048, 1029, 1021, 1010, 5510, 1997, 3112, 1999, 3245, 1010, 1037, 5510, 1997, 6861, 2979, 1996, 3765, 1998, 12280, 21015, 2000, 2663, 2190, 2047, 3063, 1012, 1037, 5510, 1997, 6861, 1010, 1997, 2607, 1010, 2003, 2145, 2124, 2651, 2005, 1996, 2309, 1523, 21495, 1051, 8649, 2666, 1051, 8649, 2666, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 2096, 1996, 3765, 1998, 21015, 4033, 2050, 30102, 30108, 2102, 2042, 2657, 1997, 2144, 1012, 1022, 1010, 5026, 1996, 1036, 4870, 2050, 30102, 30108, 6606, 6323, 1998, 3347, 10024, 2358, 2890, 29196, 2094, 2018, 2169, 2680, 3584, 4617, 1997, 1523, 2017, 24260, 30102, 30108, 2102, 3288, 2033, 4870, 1010, 1037, 30102, 30108, 2050, 30102, 30108, 2077, 1006, 5722, 2038, 2009, 1007, 1037, 6520, 2018, 1996, 4408, 2801, 2000, 16137, 2232, 1996, 2048, 19187, 2015, 2046, 1037, 2309, 11979, 1012, 1996, 2034, 2051, 1996, 8790, 6829, 2052, 6170, 1996, 2299, 2444, 2362, 2001, 2012, 1996, 8922, 2015, 1999, 3150, 1012, 1023, 1010, 2028, 2502, 2305, 1999, 3261, 1010, 5696, 2892, 2150, 1996, 2034, 1006, 1998, 2145, 2069, 1007, 3063, 2000, 2663, 1996, 2061, 1011, 2170, 1523, 2502, 2176, 2050, 30102, 30108, 2050, 30102, 30108, 1006, 2501, 1010, 2201, 1998, 2299, 1997, 1996, 2095, 1010, 2004, 2092, 2004, 2190, 2047, 3063, 1007, 1999, 2028, 2309, 2095, 1012, 2002, 2036, 2165, 2188, 1996, 7436, 2008, 2095, 2005, 2190, 2434, 2299, 1006, 1523, 4300, 2050, 30102, 30108, 2015, 4323, 2050, 30102, 30108, 2050, 30102, 30108, 1007, 1012, 2184, 1010, 2809, 2398, 1999, 3172, 1010, 4097, 2798, 1010, 6128, 3389, 4572, 1010, 2210, 2957, 1998, 1006, 2131, 2023, 1007, 4175, 19021, 2666, 4133, 2091, 2012, 2176, 27864, 1998, 8116, 2054, 2003, 15835, 1996, 2087, 8987, 1997, 2035, 8922, 4616, 1012, 2340, 1010, 2000, 3406, 3513, 1999, 3172, 1010, 2000, 3406, 10911, 2098, 2058, 2703, 15320, 1010, 17458, 4687, 1010, 3533, 4027, 1998, 9893, 5912, 1035, 2035, 1010, 5525, 1010, 8276, 11725, 1999, 8922, 7206, 2050, 30102, 30108, 2159, 1035, 2000, 2663, 2501, 1997, 1996, 2095, 2005, 1523, 9508, 9516, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 2009, 2001, 2028, 1997, 2416, 2982, 2000, 3406, 2052, 2663, 2008, 2305, 1012, 2260, 1010, 13748, 1010, 13748, 13748, 5637, 5243, 30102, 30108, 2015, 12845, 2001, 13880, 2125, 2043, 2002, 2180, 2010, 2034, 1011, 2412, 8922, 2015, 2005, 1996, 2299, 1523, 4424, 8907, 2050, 30102, 30108, 2050, 30102, 30108, 1999, 3172, 1012, 2002, 6369, 1037, 7324, 1011, 2041, 2544, 1997, 2008, 2718, 2012, 1996, 2400, 2265, 1012, 13718, 1010, 2009, 2052, 2022, 2028, 1997, 2010, 2345, 4616, 1035, 2002, 2001, 7129, 2006, 2258, 1015, 1010, 3118, 1012, 2410, 1010, 1054, 10536, 22311, 30102, 30108, 4079, 2703, 4079, 9700, 2125, 1037, 2502, 8922, 2305, 1999, 3055, 1035, 2029, 2443, 3045, 1996, 2502, 11239, 1010, 2201, 1997, 1996, 2095, 1010, 2005, 1523, 4519, 24448, 30102, 30108, 2050, 30102, 30108, 1035, 2007, 1037, 2307, 19187, 1997, 1523, 11719, 2006, 1996, 7082, 2015, 1997, 2014, 6007, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 1996, 5860, 1006, 2680, 3701, 1999, 2148, 3088, 1007, 1010, 2004, 2092, 2004, 1996, 8922, 2836, 1010, 7126, 12342, 1037, 2422, 2006, 1996, 3277, 1997, 17862, 1012, 2403, 1010, 4317, 2004, 1037, 5318, 1996, 7725, 8922, 2005, 2190, 2524, 2600, 1013, 3384, 2836, 2001, 2445, 2041, 1999, 2960, 1998, 1010, 2000, 1996, 5213, 1997, 2132, 1011, 9748, 2545, 7249, 1010, 2009, 2253, 2000, 6892, 8093, 2080, 10722, 3363, 1012, 2008, 2316, 1010, 2190, 2124, 2005, 2049, 8928, 2147, 1010, 3786, 2041, 1996, 4600, 12287, 12392, 2050, 1012, 4599, 22017, 2098, 1998, 1996, 8922, 12455, 7968, 2135, 3975, 2524, 2600, 1998, 3384, 2046, 2048, 7236, 2005, 2901, 1012, 2321, 1010, 2270, 14325, 8922, 18829, 5525, 2134, 2050, 30102, 30108, 2102, 2079, 2172, 19453, 2043, 2027, 2794, 1996, 7725, 9680, 4696, 1999, 2960, 1012, 1996, 2034, 2400, 2001, 3591, 2000, 6520, 4166, 2100, 5076, 1998, 1996, 4840, 3159, 2005, 1996, 2155, 1011, 5379, 1523, 3008, 2074, 24260, 30102, 30108, 2102, 3305, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 2008, 3377, 2855, 2150, 1037, 8257, 1999, 1996, 5099, 1011, 6154, 2451, 1010, 2029, 2001, 4415, 7117, 2075, 2005, 2270, 4099, 2050, 30102, 30108, 2015, 2598, 1011, 4911, 1523, 2009, 3138, 1037, 3842, 1997, 8817, 2000, 2907, 2149, 2067, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 2385, 1010, 8922, 1059, 3511, 8029, 4971, 2072, 3158, 8591, 2072, 3786, 2041, 1996, 22472, 3057, 1998, 2093, 2060, 17772, 2015, 1006, 2035, 1997, 3183, 2031, 2144, 8105, 2185, 1007, 2000, 1055, 2532, 2290, 2190, 2047, 3063, 1999, 2901, 1012, 1996, 2400, 2001, 2101, 22837, 2044, 2009, 2001, 3603, 2008, 1996, 24112, 30102, 30108, 2015, 2061, 1011, 2170, 27478, 2106, 2025, 2941, 6170, 2006, 2037, 3162, 1012, 2459, 1010, 2025, 3243, 26530, 1999, 1996, 2220, 100, 1010, 2242, 2001, 16005, 1999, 1996, 3534, 4514, 1035, 1037, 2210, 2242, 2170, 24665, 5575, 2063, 1035, 1998, 8922, 7206, 4900, 2000, 8568, 2049, 3739, 1012, 7792, 2005, 9584, 2005, 2201, 1997, 1996, 2095, 1999, 2826, 2020, 26530, 2050, 30102, 30108, 2015, 1523, 2196, 23356, 2050, 30102, 30108, 2050, 30102, 30108, 1998, 7247, 9389, 2050, 30102, 30108, 2015, 1523, 2702, 2050, 30102, 30108, 2050, 30102, 30108, 1035, 2048, 1997, 1996, 2190, 15303, 1997, 1996, 5476, 1035, 1998, 4445, 2363, 1037, 6488, 1012, 1999, 2037, 2173, 2020, 14927, 2011, 6864, 3946, 1998, 10829, 5624, 1012, 3053, 2382, 2086, 2044, 2010, 2331, 1010, 1996, 2307, 14085, 2332, 5624, 2052, 18661, 8922, 2751, 1999, 2826, 1012, 4283, 2000, 1996, 17861, 1997, 2715, 3405, 4163, 1010, 2010, 19086, 11979, 2007, 2684, 10829, 2006, 1523, 4895, 29278, 18150, 10880, 2050, 30102, 30108, 2050, 30102, 30108, 6583, 15499, 2093, 22236, 1010, 2164, 2005, 2299, 1998, 2501, 1997, 1996, 2095, 1012, 1996, 5624, 2015, 2052, 2036, 4685, 1996, 2299, 1523, 2444, 2050, 30102, 30108, 2050, 30102, 30108, 2012, 1996, 2265, 1012, 2539, 1010, 3835, 5955, 1996, 2190, 9555, 1035, 2041, 1997, 2116, 1035, 2114, 1996, 8922, 2015, 2234, 1999, 1996, 3587, 2161, 1997, 1996, 1523, 1996, 19047, 2050, 30102, 30108, 2050, 30102, 30108, 1006, 4836, 1999, 2857, 1007, 1010, 2043, 11525, 2050, 30102, 30108, 2015, 13362, 22231, 2361, 8530, 2180, 1037, 5384, 2005, 1523, 5151, 3969, 1010, 5287, 2773, 1010, 2030, 13362, 22231, 2361, 2201, 1997, 1996, 2095, 1012, 1037, 30102, 30108, 2050, 30102, 30108, 2002, 2052, 2101, 2224, 1996, 2400, 2004, 1037, 5955, 2005, 2282, 2326, 1012, 2322, 1010, 2111, 2131, 3201, 1996, 2307, 9195, 27224, 4152, 2010, 2349, 2076, 2019, 2035, 1011, 2732, 7050, 1999, 2807, 1012, 1996, 13863, 1997, 27224, 4978, 2838, 5503, 26002, 1010, 12220, 15547, 4779, 1010, 3889, 2663, 3702, 1998, 1010, 2190, 1997, 2035, 1010, 1038, 1012, 1038, 1012, 2332, 1012, 2538, 1010, 2057, 2320, 3866, 2017, 2122, 2420, 1010, 2057, 2735, 1996, 2299, 2125, 2004, 2574, 2009, 3310, 2006, 1996, 2557, 1998, 4756, 2007, 1996, 25119, 2008, 2425, 13198, 2012, 1996, 3220, 2050, 30102, 30108, 2015, 10961, 1012, 2664, 1010, 2045, 2001, 1037, 2051, 2043, 9809, 5395, 1998, 1523, 1045, 2097, 2467, 2293, 2017, 2050, 30102, 30108, 2050, 30102, 30108, 2020, 2035, 1996, 7385, 1012, 1996, 2051, 18269, 6947, 3310, 2013, 2014, 6429, 2836, 1997, 2008, 8694, 2012, 1996, 2807, 8922, 2015, 1012, 2570, 1010, 2013, 1996, 1036, 4534, 2050, 30102, 30108, 5503, 26002, 5359, 2010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2017, 1521, 2128, 1037, 4121, 3267, 7089, 2021, 2017, 2123, 1521, 1056, 2428, 2113, 2129, 2000, 13265, 2122, 3019, 3787, 2046, 2115, 4592, 1029, 2298, 2053, 2582, 2138, 2057, 1521, 2128, 2182, 2000, 2393, 2017, 2041, 999, 2182, 2024, 3157, 6179, 10247, 2006, 2129, 2000, 3288, 1996, 19350, 1999, 1998, 2507, 2115, 2188, 1037, 8687, 2191, 7840, 1010, 2061, 2022, 2469, 2000, 2994, 2007, 2149, 1012, 2074, 2562, 2006, 3752, 1010, 4638, 2068, 2041, 1010, 1998, 2131, 2091, 2000, 2449, 2157, 2185, 999, 2034, 1997, 2035, 1010, 23569, 2005, 1037, 3019, 3609, 27396, 5026, 1996, 19350, 1999, 2064, 1521, 1056, 2022, 3143, 2302, 13543, 1037, 3019, 3609, 27396, 1012, 1999, 2755, 1010, 2009, 1521, 1055, 1996, 3376, 6087, 2008, 2191, 3267, 2061, 16004, 1998, 12465, 3973, 24820, 1010, 2157, 1029, 2061, 1010, 2065, 2017, 2215, 2000, 5454, 1996, 6413, 5257, 1997, 6087, 1010, 2035, 2017, 2342, 2000, 2079, 2003, 2000, 2202, 1037, 2298, 2041, 1997, 2115, 3332, 1012, 1997, 2607, 1010, 2023, 3632, 2005, 2111, 2040, 2123, 1521, 1056, 2444, 1999, 1996, 2690, 1997, 1037, 5509, 8894, 1010, 2021, 1999, 1037, 2173, 2073, 3267, 2064, 2022, 2464, 1999, 2049, 2434, 2433, 1012, 2004, 2005, 1996, 3609, 27396, 1010, 2009, 2323, 2421, 2035, 13178, 1997, 2665, 1999, 1996, 2034, 2173, 1012, 14123, 2665, 1010, 20863, 2665, 1010, 9724, 2665, 1010, 28782, 2665, 1010, 14732, 2665, 1529, 12020, 2024, 10709, 2007, 2023, 2028, 999, 2036, 1010, 2123, 1521, 1056, 13558, 1996, 3011, 2100, 13178, 2107, 2004, 28799, 1010, 11060, 4589, 1010, 1998, 2035, 13178, 1997, 2829, 1012, 11506, 2068, 2007, 12392, 24947, 1999, 2751, 2030, 4421, 1998, 2017, 1521, 2222, 2079, 1037, 10392, 3105, 2007, 2023, 3609, 27396, 999, 2224, 3019, 4475, 2004, 2172, 2004, 2825, 1996, 2279, 3357, 2003, 2478, 3019, 4475, 1999, 2115, 2188, 1012, 2023, 2003, 2028, 1997, 1996, 25551, 3971, 2000, 2191, 2115, 2188, 25545, 2514, 2485, 2000, 3267, 1012, 2065, 2017, 2215, 2000, 2507, 2115, 2188, 1037, 3143, 2191, 7840, 1010, 2191, 2469, 2000, 2707, 2007, 6419, 2115, 2723, 2075, 1012, 2612, 1997, 2529, 1011, 2081, 7300, 1010, 2017, 2323, 2467, 2175, 2005, 3019, 2723, 2075, 1012, 2122, 2514, 2172, 16676, 1998, 2062, 15085, 1010, 1998, 2070, 1997, 1996, 2087, 2759, 4475, 2024, 3536, 1010, 15216, 1010, 1998, 8513, 1012, 1997, 2607, 1010, 4799, 2723, 2075, 2003, 1037, 2978, 2062, 6450, 2084, 8513, 2030, 15216, 2028, 1010, 2021, 2009, 2097, 5121, 3477, 2125, 1999, 1996, 2146, 2448, 1012, 4092, 1997, 2115, 14694, 1010, 2793, 4667, 1010, 1998, 2060, 2188, 14529, 1516, 2122, 2323, 2036, 2022, 2081, 2013, 3019, 25123, 1012, 6557, 1998, 17517, 2024, 4703, 2109, 1999, 8817, 1997, 5014, 2122, 2420, 1012, 2122, 2024, 2200, 3052, 3085, 1998, 12038, 2061, 2017, 2180, 1521, 1056, 2191, 1037, 6707, 2065, 2017, 13265, 2068, 2046, 2115, 2188, 1010, 2205, 999, 13711, 2115, 2686, 2007, 1037, 9129, 1997, 2160, 24759, 11390, 17044, 2015, 2000, 2360, 1010, 2160, 24759, 11390, 2024, 2019, 7619, 2442, 1999, 2151, 2188, 1012, 2023, 2003, 3391, 2995, 2065, 2017, 2215, 2000, 13265, 2070, 3787, 1997, 1996, 19350, 1010, 2061, 2123, 1521, 1056, 3524, 2151, 2936, 1998, 2507, 8962, 3064, 4264, 1037, 3046, 1012, 2074, 3342, 2008, 3056, 4264, 5478, 3563, 3785, 1012, 2005, 2742, 1010, 2045, 2024, 2116, 4127, 1997, 4264, 2005, 8703, 2008, 2123, 1521, 1056, 2342, 2000, 2022, 6086, 2000, 3622, 9325, 1999, 2344, 2000, 4982, 7919, 1012, 2023, 2003, 1996, 2087, 10368, 4044, 2005, 1037, 3269, 2000, 4982, 1999, 1010, 2021, 2045, 2024, 2145, 4264, 2008, 2079, 5186, 2092, 1999, 2107, 3785, 1012, 2122, 4264, 2024, 2788, 7356, 2011, 2784, 2665, 19624, 1025, 2174, 1010, 2045, 2024, 2036, 2070, 14231, 4127, 2017, 1521, 2222, 2293, 2000, 2156, 1999, 2115, 2686, 1012, 10556, 26989, 2099, 7094, 1010, 3467, 16847, 1010, 1998, 13813, 20920, 2024, 2074, 2070, 1997, 2068, 1010, 2061, 2202, 2068, 2046, 9584, 1998, 2017, 2180, 1521, 1056, 9038, 2009, 1012, 2008, 1521, 1055, 1037, 4872, 999, 3628, 2024, 2062, 2084, 6160, 1999, 7169, 7258, 1010, 2205, 2748, 1010, 2057, 2113, 2008, 2009, 4165, 1037, 2978, 10021, 1010, 2021, 3628, 2024, 6160, 1999, 7169, 7258, 999, 2008, 1521, 1055, 2157, 1010, 2061, 2562, 2008, 6919, 5724, 1999, 2568, 1998, 19394, 2115, 4592, 2007, 1037, 3376, 3392, 1012, 2045, 2024, 2116, 3971, 2000, 2191, 2008, 7169, 3392, 2518, 4148, 1010, 1998, 1996, 2034, 2028, 2003, 2000, 2404, 2009, 1999, 1037, 2312, 3269, 2121, 1012, 1997, 2607, 1010, 2053, 2028, 2758, 2008, 2017, 2323, 2175, 2005, 2070, 5016, 3628, 2008, 2031, 2498, 2000, 2079, 2007, 7169, 7258, 1012, 2612, 1010, 23569, 2005, 3760, 3628, 2107, 2004, 1037, 10250, 22591, 16089, 2078, 4589, 3392, 1012, 2023, 2003, 1037, 3376, 11229, 5909, 3392, 2008, 2064, 5788, 2503, 2035, 2095, 2146, 1012, 4237, 2013, 2559, 2307, 1010, 2023, 3392, 2097, 2036, 3965, 4714, 4589, 2015, 1998, 9882, 2317, 4870, 3005, 6518, 2097, 2191, 2115, 2972, 2188, 5437, 6429, 1012, 18746, 5340, 2003, 2178, 2307, 5576, 2005, 7169, 7258, 1012, 1996, 2190, 2518, 2055, 2009, 2003, 2008, 2009, 5942, 2659, 1011, 2422, 3785, 1998, 24590, 25813, 1010, 2029, 3084, 2009, 1037, 2659, 1011, 6032, 3269, 999, 2292, 1996, 3019, 2422, 1999, 3071, 2064, 5993, 2008, 2045, 1521, 1055, 2498, 2488, 2084, 3019, 2422, 1012, 2065, 2017, 5993, 2022, 2469, 2000, 16500, 4121, 3645, 11210, 2825, 1012, 2023, 2003, 1037, 2307, 5724, 2065, 2017, 1521, 2128, 2039, 2005, 1037, 2188, 2128, 5302, 9247, 2075, 3432, 2138, 2502, 3645, 2024, 1996, 2190, 4216, 1997, 3019, 2422, 1012, 2006, 1996, 2060, 2192, 1010, 2065, 2017, 1521, 2128, 2006, 1037, 5166, 1998, 2064, 1521, 1056, 8984, 2009, 2012, 1996, 2617, 1010, 2017, 2323, 5791, 15697, 1999, 4435, 2047, 14694, 1012, 2023, 2003, 3391, 2590, 2065, 2017, 2031, 4317, 2852, 29040, 2008, 3796, 2041, 2422, 1012, 1999, 2344, 2000, 2292, 1996, 3019, 2422, 1999, 1010, 6942, 2013, 4317, 2852, 29040, 2000, 12038, 14694, 1012, 2122, 2323, 2022, 2081, 2013, 1996, 17289, 25123, 1516, 3262, 6557, 2030, 17517, 1012, 4237, 2013, 5599, 1996, 3019, 2422, 1999, 1010, 2122, 2097, 12992, 1996, 4834, 1997, 4840, 2250, 2012, 1996, 2168, 2051, 1012, 2065, 2017, 3198, 2149, 1010, 2023, 2003, 1996, 2309, 5770, 2008, 2017, 5807, 1521, 1056, 27590, 999, 23569, 2005, 9084, 7390, 13543, 3019, 3787, 2046, 2115, 2188, 2003, 2172, 2062, 2084, 10549, 2019, 6413, 3609, 27396, 1998, 3019, 25123, 1012, 2009, 1521, 1055, 2055, 23581, 1996, 3019, 21209, 1999, 2296, 2309, 5783, 1997, 2115, 4592, 1516, 2164, 2115, 7390, 1012, 1999, 2553, 2017, 2134, 1521, 1056, 2113, 1010, 1996, 7390, 3068, 2038, 6022, 2904, 3728, 1012, 2116, 8712, 2031, 7237, 2013, 7511, 2000, 9084, 7390, 7047, 1010, 2021, 2079, 2017, 2113, 2054, 2009, 2428, 2965, 1029, 2092, 1010, 2009, 2965, 2008, 2027, 2024, 2053, 2936, 2478, 11704, 1010, 11540, 1011, 5173, 12141, 1998, 17800, 22629, 3536, 2000, 3965, 7390, 1012, 2612, 1010, 2027, 2024, 23569, 2075, 2005, 9084, 4475, 2107, 2004, 22207, 3536, 1010, 4799, 14412, 13461, 1010, 15216, 1010, 1998, 2130, 2712, 18041, 2000, 2191, 4109, 2107, 2004, 7251, 1010, 23135, 2015, 1010, 10682, 2015, 1010, 1998, 2714, 3924, 1012, 2122, 2024, 25262, 1011, 5379, 4475, 2008, 2123, 1521, 1056, 8554, 10421, 1996, 2250, 1010, 2300, 1010, 1998, 5800, 1012, 2507, 2068, 1037, 4189, 2915, 1998, 2017, 1521, 2222, 2293, 1996, 3110, 2008, 2017, 1521, 2128, 5094, 2256, 4774, 2612, 1997, 7386, 2075, 2009, 999, 8754, 21466, 1037, 2542, 2813, 7471, 5822, 2024, 8550, 11071, 2122, 2420, 1010, 2349, 2000, 2037, 2686, 8122, 1998, 3376, 12465, 1012, 2138, 1037, 7471, 3871, 2003, 1037, 3819, 3601, 2005, 3071, 2040, 4122, 2000, 2031, 1037, 3871, 2021, 2987, 1521, 1056, 2031, 2438, 2686, 1999, 2037, 16125, 1012, 2004, 2037, 2171, 4415, 2758, 1010, 2122, 2323, 2022, 2328, 20018, 1516, 2013, 1996, 5894, 2000, 1996, 2723, 2030, 3580, 18601, 1012, 7471, 5822, 2024, 1037, 2307, 2126, 2000, 3288, 1996, 19350, 1999, 1516, 1999, 1037, 2119, 12465, 1998, 6742, 2126, 1012, 4237, 2013, 2559, 6429, 1998, 19394, 2075, 2115, 4592, 1010, 1037, 7471, 3871, 2097, 3499, 2017, 2000, 4982, 2115, 2219, 4840, 17561, 1010, 8907, 4264, 1010, 4870, 1010, 1998, 2714, 4933, 1010, 2205, 1012, 2036, 1010, 2023, 2003, 1037, 4658, 4487, 2100, 2622, 2115, 4268, 2064, 2202, 2112, 1999, 999, 2017, 2180, 1521, 1056, 2031, 2000, 5247, 5606, 1997, 6363, 2006, 6450, 3941, 1998, 6067, 1012, 1037, 2261, 15184, 4799, 3269, 2545, 2097, 2079, 1996, 7577, 1010, 2061, 2507, 7471, 21529, 1037, 3046, 1998, 2017, 2180, 1521, 1056, 9038, 2009, 999, 16462, 3536, 1998, 2962, 1999, 2115, 2188, 2004, 3855, 2682, 1010, 3536, 2003, 2028, 1997, 1996, 2087, 2759, 4475, 2043, 2009, 3310, 2000, 2188, 25545, 2122, 2420, 1012, 2009, 1521, 1055, 2036, 2028, 1997, 1996, 5221, 12878, 1999, 1996, 7390, 3068, 1010, 2205, 1516, 2926, 2426, 1996, 8712, 2040, 2024, 11991, 2000, 9084, 4475, 1012, 2023, 2003, 1037, 2204, 2438, 3114, 2000, 13265, 2009, 2046, 2115, 2188, 1998, 5587, 1037, 3019, 21209, 2000, 2115, 7169, 2686, 1012, 2044, 2035, 1010, 2045, 4995, 1521, 1056, 2116, 4475, 2008, 6978, 1520, 3267, 1521, 1999, 1037, 2126, 3536, 2515, 1010, 2157, 1029, 4998, 2013, 3536, 1010, 2017, 2323, 2202, 2962, 2046, 9584, 2004, 2092, 1012, 2130, 2295, 2009, 1521, 1055, 2411, 3378, 2007, 3147, 2791, 1010, 2057, 2442, 2360, 2008, 2962, 2036, 5836, 2566, 2386, 10127, 1010, 9211, 1010, 1998, 14280, 1012, 1037, 5257, 1997, 3536, 1998, 2962, 2003, 2763, 1996, 2190, 5724, 2041, 2045, 1012, 2009, 2097, 3288, 1037, 3819, 5703, 1997, 8251, 1998, 3147, 2791, 1010, 2096, 22671, 1996, 3019, 3787, 1999, 1037, 3722, 2664, 4621, 2126, 1012, 2009, 2987, 1521, 1056, 2131, 2488, 2084, 2008, 1010, 2515, 2009, 1029, 29460, 2007, 3019, 16611, 2197, 2021, 5121, 2025, 2560, 1010, 5026, 1996, 19350, 1999, 2323, 2022, 2589, 2011, 25545, 5844, 2007, 3019, 16611, 1012, 1998, 2054, 2515, 2009, 2812, 1029, 2009, 2965, 2008, 2017, 2323, 4060, 8702, 2188, 16611, 2008, 2024, 6669, 14206, 2007, 2115, 7390, 1998, 3452, 3609, 27396, 1012, 2005, 2742, 1010, 1037, 9129, 1997, 11584, 17860, 2003, 2467, 1037, 2204, 2126, 2000, 29460, 1998, 6039, 1999, 2070, 8744, 7516, 1012, 2074, 2022, 2469, 2008, 2122, 10005, 18382, 2015, 2024, 2081, 2013, 3294, 3019, 25123, 1012, 5265, 2008, 5050, 3267, 2024, 1037, 2307, 2801, 1010, 2205, 1010, 2004, 2092, 2004, 25738, 14006, 2008, 3444, 2115, 5440, 6827, 20631, 1012, 2017, 2064, 2196, 2175, 3308, 2007, 17796, 29507, 1998, 2192, 21565, 12922, 1010, 2061, 2191, 2068, 1037, 2112, 1997, 2115, 2188, 1998, 2017, 1521, 2222, 2079, 1037, 13352, 2140, 3105, 999, 2004, 2017, 2064, 2156, 1010, 2045, 2024, 2061, 2116, 6429, 3971, 2000, 12200, 2115, 4592, 2011, 5026, 1996, 19350, 1999, 1012, 2065, 2023, 2003, 2028, 1997, 2115, 2327, 18402, 2012, 1996, 2617, 1010, 2074, 6293, 2000, 2256, 6179, 2640, 10247, 1998, 2017, 1521, 2222, 17319, 2191, 2009, 4148, 1012, 2013, 8130, 1996, 2157, 3609, 27396, 1998, 3019, 4475, 2000, 5815, 2070, 2160, 24759, 11390, 1010, 5599, 1996, 3019, 2422, 1999, 1010, 8754, 17441, 1037, 2542, 2813, 1010, 1998, 2116, 2062, 1516, 2169, 1997, 2122, 4084, 2003, 3458, 12476, 1012, 3582, 2256, 11594, 1998, 2017, 1521, 2222, 2079, 1037, 10392, 3105, 2007, 2115, 2188, 2191, 7840, 1010, 2008, 1521, 1055, 1037, 4872, 999, 2055, 1996, 3166, 14032, 5143, 2003, 1037, 9580, 28205, 2241, 1999, 2660, 1012, 2016, 2003, 2019, 4297, 23086, 2154, 16200, 14074, 2099, 1010, 2040, 4858, 7780, 1999, 2210, 1010, 10126, 5312, 1012, 5938, 2051, 2012, 2014, 26931, 2188, 2436, 2007, 2014, 2048, 8870, 1010, 3015, 2014, 9927, 1010, 2003, 2014, 5440, 2518, 1999, 1996, 2088, 3582, 2014, 2006, 10474, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2823, 2009, 2064, 2022, 2524, 2000, 2425, 2767, 2013, 22277, 1999, 1996, 3871, 1010, 2045, 1521, 1055, 2115, 5793, 17235, 7368, 2066, 23667, 2015, 1998, 13482, 2021, 1529, 1012, 1523, 2054, 2015, 2008, 3492, 2417, 7813, 2006, 2026, 14765, 1521, 1055, 1029, 2030, 2008, 8403, 12538, 2665, 2028, 2006, 1996, 18040, 1029, 2027, 1521, 2310, 2288, 2000, 2022, 2204, 3924, 1010, 2027, 1521, 2128, 2061, 3492, 999, 2157, 1029, 1524, 2123, 2102, 2022, 25857, 1010, 2027, 1521, 2128, 2025, 999, 1523, 7929, 1010, 2061, 2129, 2055, 2008, 9200, 11867, 5480, 2100, 2304, 1998, 4589, 2028, 1010, 2002, 8040, 4904, 9286, 2015, 2461, 2061, 3435, 2002, 3084, 2033, 2514, 17109, 2074, 2559, 2012, 2032, 999, 1524, 2053, 999, 2644, 999, 2123, 2102, 5490, 27020, 2232, 2032, 999, 2008, 1521, 1055, 1037, 3336, 3203, 9001, 999, 999, 7929, 1010, 11082, 2707, 2012, 1996, 2927, 1010, 2029, 12883, 2024, 2115, 2814, 1029, 1996, 2204, 4364, 1529, 2057, 2035, 17614, 1996, 15716, 3203, 9001, 1010, 2087, 1997, 2149, 3473, 2039, 2007, 1996, 20622, 1012, 1012, 4875, 2185, 2188, 1010, 2115, 2160, 2003, 2006, 2543, 1998, 2115, 2336, 2035, 2908, 1025, 2035, 3272, 2028, 1998, 2008, 1521, 1055, 2210, 5754, 1010, 1998, 2016, 2038, 13147, 2104, 1996, 12959, 6090, 1012, 2029, 2003, 2941, 3243, 6097, 7875, 2890, 2043, 2017, 2228, 2055, 2009, 999, 1996, 20622, 5246, 2067, 2000, 1996, 16601, 1521, 1055, 1998, 2763, 2038, 2070, 11259, 4942, 18209, 2066, 1523, 3614, 1521, 1037, 1521, 3614, 1997, 10529, 1524, 2029, 5218, 2000, 1996, 2304, 2331, 2021, 4312, 2067, 2000, 1996, 3203, 9001, 999, 1996, 3203, 9001, 3475, 2102, 11300, 2098, 2440, 2719, 2295, 1998, 2038, 1017, 5664, 3033, 2000, 2049, 2166, 5402, 1012, 2037, 2095, 4627, 2105, 2233, 2051, 2043, 1996, 2058, 10105, 17989, 6001, 2707, 2000, 2681, 2037, 6318, 3182, 1012, 2027, 9831, 2588, 1996, 2220, 9706, 27511, 7080, 1010, 2311, 2039, 2037, 3997, 1998, 3228, 2149, 19785, 2015, 1037, 2172, 2734, 5094, 2192, 1012, 2027, 2707, 15100, 2105, 2089, 1008, 4627, 2652, 15333, 1056, 1521, 6614, 2063, 1008, 2003, 2023, 2205, 20014, 7946, 3512, 1029, 3048, 12128, 2006, 999, 2105, 1996, 2707, 1997, 2238, 1996, 3801, 2707, 10201, 2037, 6763, 1010, 6881, 2135, 2023, 2003, 2025, 2242, 1045, 1521, 2310, 2412, 5159, 1012, 2027, 2097, 4060, 1037, 3269, 2008, 2038, 1037, 2204, 3677, 1997, 2833, 2005, 2037, 10834, 2000, 18029, 2046, 2004, 2574, 2004, 2027, 1521, 2128, 2141, 1998, 2821, 2879, 2079, 2027, 4521, 999, 1996, 10834, 2024, 29536, 22648, 6313, 12630, 2021, 2298, 6135, 7344, 1010, 2004, 1996, 6302, 3065, 1012, 2027, 2097, 2994, 1999, 2023, 2433, 6360, 3652, 3469, 2127, 2251, 1012, 2008, 2015, 2043, 2027, 26781, 3686, 1010, 2172, 1999, 1996, 2168, 2126, 2004, 23488, 8197, 17305, 2015, 1012, 2061, 2065, 2017, 2156, 2019, 4589, 1998, 2304, 1038, 4135, 2497, 5881, 2000, 1037, 7053, 3531, 2123, 1521, 1056, 2228, 2049, 1037, 11808, 1998, 3480, 2009, 999, 2182, 2015, 2019, 2742, 1529, 3203, 9001, 26781, 2050, 2023, 2003, 2073, 2027, 2735, 2046, 1996, 3203, 12887, 2057, 17614, 1010, 2027, 2097, 2707, 2000, 12636, 2105, 2257, 1998, 4287, 2006, 14163, 12680, 2075, 2216, 11808, 9706, 27511, 2015, 2005, 2017, 1012, 2027, 4287, 2006, 2725, 2061, 2157, 2039, 2127, 1996, 4860, 9010, 2823, 2004, 2397, 2004, 2255, 2043, 2027, 5342, 2153, 3201, 2000, 2707, 2035, 2058, 2279, 2095, 2007, 1037, 2047, 4245, 1012, 2065, 2017, 3499, 1037, 5701, 1997, 9706, 27511, 2015, 2000, 2444, 2006, 17266, 3089, 8873, 13247, 4264, 1999, 2115, 3871, 2017, 2064, 5676, 1037, 7965, 2313, 1997, 2122, 6919, 12630, 2000, 3857, 2039, 1012, 2017, 2097, 2196, 2022, 4498, 9706, 27511, 2489, 2130, 2007, 12141, 2021, 2065, 2017, 2404, 1996, 12509, 5835, 2091, 2005, 1037, 2161, 1998, 2507, 2068, 1037, 3382, 2122, 4364, 2097, 2079, 1996, 2147, 2005, 2017, 1012, 1045, 7714, 2693, 2068, 2461, 1010, 2065, 1045, 2424, 2028, 3269, 2003, 3225, 2000, 2131, 12304, 2098, 2011, 9706, 27511, 2015, 1045, 1521, 2222, 6293, 1037, 2261, 3203, 12887, 2006, 2009, 1010, 2009, 7126, 1012, 2044, 2035, 1010, 16111, 2693, 9706, 27511, 2015, 2105, 1529, 2021, 1045, 1521, 2222, 2131, 2000, 2008, 1999, 1037, 2978, 999, 2204, 17266, 3089, 8873, 13247, 4264, 4921, 2063, 2272, 2408, 2024, 17235, 20689, 16398, 2015, 1998, 9016, 7959, 2860, 1010, 2119, 3492, 2438, 2000, 2507, 3871, 2686, 2000, 1998, 8702, 2000, 1996, 20739, 2015, 1012, 2025, 2035, 3203, 12887, 2024, 2304, 1998, 2417, 1010, 2057, 2031, 2070, 6429, 3924, 1999, 1996, 2866, 1998, 2182, 1521, 1055, 1037, 2307, 8909, 4765, 5009, 1997, 2119, 6001, 1004, 9673, 2049, 4276, 18625, 5292, 20927, 12519, 2015, 2012, 2023, 2391, 1010, 3531, 2123, 1521, 1056, 4737, 2055, 4288, 2068, 1010, 2049, 2126, 2205, 2397, 1012, 2027, 3369, 2006, 2256, 13312, 1999, 2432, 1998, 2031, 2042, 10123, 2075, 11328, 2408, 1996, 2406, 2144, 1012, 2748, 2027, 2024, 2019, 18445, 2099, 1004, 2748, 2027, 2097, 3653, 13701, 2256, 12493, 2021, 1999, 2070, 3033, 1997, 1996, 2866, 2027, 2024, 2085, 1996, 7444, 2427, 1012, 2065, 2017, 3102, 2296, 2028, 2017, 2156, 2017, 2097, 2031, 2053, 12630, 2187, 1012, 3267, 2097, 2467, 2424, 1037, 5703, 2065, 2057, 2123, 1521, 1056, 15115, 1012, 2061, 3031, 2256, 2279, 5379, 15267, 1012, 2122, 3376, 3462, 2100, 1010, 2210, 15775, 4523, 2024, 2019, 4469, 2569, 8837, 1997, 3067, 1012, 2065, 2017, 2131, 2068, 7144, 2006, 24816, 1998, 2907, 2115, 4344, 2039, 4077, 1996, 6546, 2027, 2097, 2823, 2852, 15568, 6588, 2272, 1998, 2031, 1037, 2978, 2717, 2006, 1996, 5955, 1010, 2061, 10140, 999, 1045, 2179, 12542, 9004, 19496, 3022, 2013, 1037, 5689, 10810, 2024, 3391, 2204, 2005, 2023, 4368, 1997, 25215, 12881, 2135, 11951, 1012, 2021, 2065, 2027, 4392, 24816, 2129, 2064, 2027, 2022, 12630, 1045, 2963, 2017, 5390, 999, 2066, 1996, 3203, 9001, 1996, 25215, 12881, 2135, 2038, 2195, 5711, 2000, 2049, 2166, 1998, 2009, 1521, 1055, 2043, 2009, 1521, 1055, 1999, 2049, 2474, 26585, 2754, 2009, 4332, 2046, 2019, 9706, 27511, 4288, 6071, 1998, 2049, 2019, 9200, 6071, 999, 1045, 2064, 1521, 1056, 6911, 2023, 2438, 2009, 3504, 25047, 1010, 2182, 2156, 2005, 4426, 1529, 2009, 2052, 2022, 3733, 2000, 6707, 2023, 11754, 2100, 2559, 2518, 2005, 1037, 2919, 5149, 1010, 2157, 999, 2023, 2003, 2028, 1997, 1996, 4436, 2009, 1521, 1055, 2061, 2590, 2000, 2022, 2583, 2000, 6709, 2115, 3871, 4864, 1004, 2037, 2166, 23490, 2015, 1012, 1999, 1996, 2866, 2057, 2031, 13756, 2124, 2427, 1997, 25215, 12881, 2135, 1998, 2027, 2024, 7070, 2025, 2069, 2004, 12630, 1999, 2037, 2474, 26585, 5711, 2021, 2036, 2004, 8554, 23207, 2015, 1012, 2055, 7287, 1997, 1996, 2124, 2427, 3965, 9673, 2008, 5438, 2006, 9706, 27511, 2015, 2021, 2025, 2035, 2079, 1012, 2061, 2210, 2003, 2124, 2055, 25215, 12881, 2135, 2015, 2295, 2164, 1996, 4254, 2027, 2191, 2006, 3269, 8554, 12758, 1012, 1045, 2572, 1037, 21344, 1998, 1045, 2444, 1999, 1037, 4920, 999, 1998, 2027, 2079, 999, 2023, 15775, 2361, 3053, 2288, 2370, 3950, 5819, 1045, 8655, 2058, 1037, 3675, 1999, 1996, 2690, 1997, 2621, 1012, 2065, 2151, 1997, 2017, 3871, 2006, 5726, 2017, 1521, 2222, 2113, 2008, 2076, 4318, 11750, 2009, 2064, 4503, 2070, 8052, 15288, 1012, 2027, 2064, 2468, 7070, 5014, 2005, 2122, 5379, 12630, 1012, 21344, 2015, 5247, 1037, 2843, 1997, 2037, 4639, 3268, 2185, 2013, 2300, 1998, 2097, 3154, 2115, 3871, 1997, 2035, 2216, 11808, 23667, 2015, 1998, 2505, 2842, 2008, 1521, 1055, 13219, 2438, 2000, 13529, 2046, 2049, 2846, 1012, 2027, 2064, 2693, 10889, 2855, 2065, 3791, 2022, 2021, 2467, 2562, 2019, 3239, 2041, 2005, 1037, 6318, 21344, 2043, 10443, 2030, 8430, 3727, 1012, 2027, 9544, 10620, 3785, 1998, 2097, 2202, 2039, 5039, 1999, 18526, 1997, 20010, 14778, 2271, 2104, 25840, 1998, 1999, 8413, 2017, 2123, 1521, 1056, 5373, 3543, 1012, 1045, 1521, 2310, 2018, 1523, 9004, 1524, 21344, 2015, 2008, 2165, 2039, 5039, 1999, 26572, 8525, 10087, 4877, 1998, 3221, 15666, 2205, 1010, 2467, 1037, 6160, 2160, 22967, 2102, 999, 2178, 23713, 4048, 15599, 4276, 18625, 2029, 2003, 1037, 2204, 12407, 1997, 2115, 5822, 2740, 2024, 25597, 2015, 1010, 2025, 2061, 2172, 1997, 1037, 15267, 1997, 20739, 2015, 2062, 1997, 1037, 3696, 1997, 1037, 7965, 16927, 1529, 1998, 3565, 26869, 999, 2005, 2216, 1997, 2017, 2007, 6887, 16429, 7951, 17180, 999, 999, 1006, 2021, 3531, 2562, 3752, 2004, 1045, 5552, 1037, 10140, 2100, 2005, 2256, 2197, 3871, 2767, 1045, 4872, 999, 1007, 2085, 1045, 1521, 1049, 2025, 1996, 5221, 7089, 1997, 2122, 1022, 15817, 29526, 2021, 2057, 1521, 2310, 2272, 2000, 2019, 4824, 1010, 2994, 2041, 1997, 2026, 2227, 1004, 1045, 2180, 1521, 1056, 3102, 2017, 999, 1045, 8415, 2027, 2113, 1010, 1045, 6524, 2131, 4457, 2011, 2028, 2085, 2027, 2113, 1045, 2064, 2954, 2067, 999, 2122, 15775, 4523, 1999, 2037, 25028, 21980, 2015, 2024, 1037, 19785, 2015, 2190, 2767, 1010, 2025, 2035, 1997, 2068, 6714, 4773, 2015, 2070, 5690, 2006, 1996, 3329, 1529, 2519, 1529, 3456, 1529, 2821, 2643, 2644, 999, 2054, 2017, 2089, 2025, 2031, 4384, 2295, 2024, 2037, 6821, 5134, 1012, 1037, 3608, 1997, 3336, 19027, 2818, 3490, 5104, 999, 2123, 2102, 2079, 2054, 1045, 2106, 1996, 2034, 2051, 1045, 7282, 2028, 1010, 1045, 16826, 2009, 2000, 8556, 2054, 2009, 2001, 1998, 2009, 9913, 999, 999, 3336, 14160, 7249, 999, 999, 999, 1006, 1998, 2033, 2770, 2091, 1996, 3871, 7491, 2066, 1037, 7221, 4095, 4402, 1010, 2995, 2466, 1007, 1012, 2681, 2068, 2894, 1998, 2292, 2068, 2079, 2037, 2518, 1010, 9200, 2004, 8254, 2021, 3807, 2004, 4621, 2114, 9706, 27511, 2015, 999, 2272, 2244, 2295, 2017, 2097, 2156, 2033, 3788, 2461, 1996, 3871, 2066, 2070, 2785, 1997, 1520, 4372, 3457, 2063, 1521, 14104, 1010, 2192, 2218, 20018, 1037, 3329, 1999, 2392, 1997, 2026, 2227, 2000, 3338, 2151, 9413, 17884, 4773, 2015, 2077, 2027, 3543, 2033, 1529, 1012, 2488, 2008, 2084, 1996, 13109, 29544, 25367, 1045, 13014, 2065, 2027, 2079, 999, 2028, 2197, 17109, 28854, 2029, 2089, 2191, 2017, 18261, 1037, 2978, 1529, 1012, 2059, 1037, 10140, 2100, 999, 12971, 1004, 4030, 22769, 2015, 1045, 7714, 2293, 1998, 4748, 5686, 2122, 4364, 2021, 1045, 3305, 2025, 2035, 1997, 2017, 2079, 12971, 1999, 1996, 2866, 4521, 3701, 2235, 11993, 1998, 23713, 4048, 26376, 1010, 2061, 2027, 2024, 2204, 2012, 4363, 1996, 2313, 1997, 12328, 1999, 4638, 1010, 2065, 2017, 1521, 2310, 2412, 2439, 1037, 10416, 1997, 5041, 13435, 2030, 26072, 2000, 2068, 2017, 1521, 2222, 9120, 2008, 1012, 1045, 2018, 1037, 6319, 5568, 2015, 2532, 3489, 1999, 1996, 26572, 8525, 10087, 2140, 2028, 2621, 1010, 1045, 1521, 1049, 3492, 2469, 2016, 4201, 2014, 6763, 1999, 2256, 4012, 19894, 16721, 1010, 13718, 1045, 12491, 2068, 2043, 3810, 1996, 16721, 1012, 1045, 2106, 3046, 2000, 2128, 4917, 2021, 10047, 2025, 2469, 1045, 2106, 2009, 2157, 1029, 2065, 2017, 2079, 2272, 2408, 2122, 5819, 3810, 1996, 16721, 3046, 2000, 5672, 2068, 2004, 2027, 2342, 1037, 2235, 3815, 1997, 8251, 2000, 11300, 1012, 2823, 1010, 2065, 2017, 1521, 2128, 5341, 1010, 1999, 1996, 4578, 1997, 2621, 2017, 2097, 2156, 1037, 5568, 7488, 2635, 1037, 9880, 1006, 2061, 10140, 1529, 2065, 2017, 2066, 2008, 4066, 1997, 2518, 1007, 4030, 16253, 2024, 2130, 2488, 999, 2122, 12043, 2015, 2024, 2061, 4658, 999, 999, 2027, 2428, 2079, 20209, 2091, 2006, 1996, 12430, 3048, 20739, 2015, 1999, 1996, 3871, 2107, 2004, 23667, 2015, 1998, 13482, 1012, 2027, 2064, 4982, 2039, 2000, 2753, 27487, 2061, 1996, 15775, 2361, 1999, 2026, 27263, 2003, 2074, 1037, 3336, 1012, 2065, 2017, 2424, 2028, 2123, 1521, 1056, 2693, 2009, 2074, 2681, 2009, 2894, 1012, 10892, 2025, 1037, 7488, 1010, 1037, 4190, 3238, 15450, 2065, 2008, 3084, 2017, 2514, 2151, 2488, 1029, 1996, 2069, 7488, 2017, 2342, 2022, 15705, 1997, 1999, 1996, 2866, 2003, 2019, 5587, 2121, 1998, 1999, 2035, 2026, 2086, 1997, 6575, 1045, 1521, 2310, 2069, 2464, 2028, 2029, 5419, 2077, 1045, 2071, 2131, 2485, 1012, 2009, 2428, 2003, 1037, 2553, 1997, 2027, 1521, 2128, 2062, 6015, 1997, 2017, 2084, 2017, 2024, 1997, 2068, 1529, 1012, 7481, 999, 1998, 2061, 2000, 2026, 2197, 2204, 2100, 999, 2122, 2320, 12807, 5731, 2000, 2256, 5822, 1999, 1996, 2866, 2024, 2383, 1037, 2524, 2051, 1012, 2204, 5024, 21549, 2024, 2025, 2037, 2814, 1010, 2027, 2342, 2019, 4211, 2046, 2115, 3871, 1010, 1037, 11909, 2030, 2130, 1037, 2235, 4920, 2012, 1996, 3953, 1997, 1037, 8638, 2064, 2191, 1037, 2613, 4489, 1012, 4873, 2000, 7632, 5677, 12556, 2003, 2036, 6827, 1006, 2672, 2369, 1996, 8328, 1029, 1007, 2061, 2228, 2055, 23658, 1037, 17834, 25852, 5342, 2100, 4920, 1029, 2028, 1997, 1996, 5409, 2518, 1999, 3522, 2086, 2295, 2024, 23667, 21877, 22592, 2015, 1010, 1037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4931, 1010, 3071, 1012, 6178, 5643, 1999, 3190, 2182, 1012, 14008, 5143, 2003, 2028, 1997, 2216, 5501, 3005, 3152, 2031, 2042, 16578, 1998, 12749, 2471, 2013, 1996, 2034, 2117, 2002, 2272, 2006, 1996, 3496, 2007, 5835, 7596, 2070, 2340, 2086, 3283, 1012, 1998, 2059, 1997, 2607, 1010, 2057, 2031, 2032, 2000, 4067, 2005, 10449, 2149, 2000, 1996, 28341, 11725, 1997, 4463, 16756, 2386, 1999, 5143, 1005, 1055, 2117, 3444, 5481, 5974, 1012, 2119, 2253, 2006, 2000, 2156, 2037, 2573, 8587, 2062, 1998, 2062, 10761, 1012, 5143, 2007, 1996, 2548, 2702, 2368, 14898, 2015, 1998, 1996, 2166, 13582, 1010, 1998, 16756, 2386, 2007, 4395, 1999, 2107, 3152, 2004, 4497, 15239, 1010, 5032, 28429, 1010, 1998, 1045, 2540, 15876, 3600, 16336, 2229, 1012, 2044, 1037, 13544, 1999, 15338, 3512, 2735, 2362, 1999, 5143, 1005, 1055, 2137, 4671, 3293, 1998, 1996, 2460, 2143, 3309, 15775, 10175, 3771, 1010, 2029, 4490, 2004, 18877, 2000, 2037, 2783, 2143, 1010, 1996, 2048, 11299, 2006, 1037, 6259, 4990, 2408, 2634, 2007, 4463, 1005, 1055, 5542, 3142, 8872, 18155, 2050, 1010, 1998, 1996, 2093, 2234, 2039, 2007, 1037, 13544, 14036, 5896, 2005, 1996, 18243, 16963, 2989, 3132, 1010, 1037, 14231, 1010, 8618, 26760, 15558, 3538, 2055, 2155, 1010, 2331, 1010, 3348, 1010, 1998, 6224, 2041, 1996, 2087, 14231, 1998, 5866, 6322, 10047, 22974, 22966, 1012, 1999, 2060, 2616, 1010, 2009, 1005, 1055, 2178, 2307, 2147, 2013, 14008, 5143, 1012, 3041, 2023, 2733, 1010, 1045, 2288, 2000, 5247, 2070, 2051, 2007, 5143, 1998, 16756, 2386, 1010, 2034, 1999, 1037, 2062, 3151, 4357, 4292, 2012, 3190, 1005, 1055, 8987, 7867, 3309, 1010, 1998, 2059, 2101, 2008, 2305, 2043, 1045, 8777, 2094, 1037, 1053, 1004, 1037, 2007, 1996, 3940, 2044, 1037, 11326, 1997, 2119, 1996, 2460, 1998, 18243, 16963, 2989, 1012, 16880, 2135, 2438, 1010, 1045, 2018, 1996, 18921, 25807, 2000, 3288, 1037, 14520, 2000, 1996, 1053, 1004, 1037, 2000, 3288, 2017, 2070, 1997, 2008, 6594, 2004, 2092, 1012, 1045, 3246, 1045, 1005, 1049, 2583, 2000, 16636, 2074, 2129, 2066, 1011, 13128, 2122, 2048, 4364, 2024, 1010, 1998, 2027, 4025, 2000, 2022, 1999, 1037, 5377, 2110, 1997, 13648, 2047, 2477, 2055, 2169, 2060, 2130, 2004, 2027, 2024, 10537, 7357, 2027, 2018, 2096, 2191, 2023, 1998, 2060, 2573, 1012, 2823, 2009, 5683, 2066, 1037, 9410, 2027, 1005, 2310, 2499, 2041, 1999, 5083, 1006, 2030, 2074, 2013, 10739, 2070, 1997, 1996, 2168, 3980, 2058, 1998, 2058, 2153, 2076, 2023, 2811, 2778, 1007, 1010, 2029, 3084, 2477, 2200, 6057, 2004, 2092, 2004, 12367, 8082, 1012, 2021, 2087, 2335, 2009, 5683, 2062, 2066, 1037, 2613, 4512, 2084, 2074, 2055, 2151, 4357, 1045, 1005, 2310, 2412, 2589, 1010, 2000, 1996, 2391, 2073, 1045, 2823, 2018, 2000, 10825, 2870, 2000, 15934, 2477, 2067, 1999, 1998, 2941, 3198, 1037, 3160, 2030, 2048, 1012, 1045, 3866, 1996, 2143, 2027, 2081, 1010, 1998, 3331, 2000, 2068, 2001, 5760, 24582, 2075, 1012, 5959, 1529, 6178, 5643, 1024, 1045, 2323, 2074, 5254, 2125, 1996, 7151, 2008, 2026, 2564, 2001, 2141, 1998, 2992, 1999, 5395, 1031, 2004, 2001, 14008, 1033, 1010, 1998, 2016, 2253, 2000, 2152, 2082, 2007, 2115, 2567, 4388, 1031, 2040, 2038, 2596, 1999, 2070, 1997, 14008, 1005, 3152, 1033, 1012, 2027, 2020, 1996, 2168, 2095, 1010, 2061, 2027, 2354, 2169, 2060, 1012, 1998, 2026, 2564, 1005, 1055, 2905, 2253, 2000, 1996, 2931, 7452, 2082, 1997, 2358, 1012, 2198, 1005, 1055, 1031, 2073, 5481, 5974, 2001, 2915, 1033, 1012, 2045, 1005, 1055, 2008, 3496, 1999, 5481, 5974, 2073, 2619, 2003, 3752, 2125, 1037, 2862, 1997, 3415, 1010, 1998, 2026, 2564, 2001, 3038, 2000, 2033, 1000, 1045, 2113, 2070, 1997, 2216, 3415, 1012, 1000, 1045, 2228, 1045, 3662, 2014, 2008, 2143, 2005, 1996, 2034, 2051, 1012, 14008, 5143, 1024, 2428, 1029, 2009, 1005, 1055, 6057, 2138, 2045, 2024, 3415, 1999, 2009, 2008, 2024, 2111, 1045, 2123, 1005, 1056, 2130, 2113, 4902, 1010, 4732, 2082, 3415, 1010, 2111, 2013, 2026, 3080, 2567, 1005, 1055, 2465, 1012, 2030, 1996, 2814, 1997, 4463, 1005, 1055, 1010, 2348, 2070, 1997, 2216, 2288, 8105, 2041, 1012, 4463, 16756, 2386, 1024, 2021, 2017, 2156, 2026, 2677, 3038, 2068, 1012, 11333, 1024, 2017, 2079, 2156, 2115, 2677, 3038, 2009, 1012, 1046, 2015, 1024, 1037, 3232, 1997, 2026, 2814, 2013, 2152, 2082, 2024, 1999, 1996, 3185, 1012, 11333, 1024, 2009, 1005, 1055, 1996, 20497, 1011, 3909, 2554, 1012, 2002, 1005, 1055, 10328, 2825, 5347, 2005, 1996, 20497, 1011, 3909, 2554, 1012, 2008, 1005, 1055, 6057, 1012, 1039, 1024, 1045, 1005, 2310, 2042, 2428, 11434, 1996, 2111, 2008, 2057, 2020, 2583, 2000, 13260, 2000, 1996, 18243, 16963, 2989, 11326, 3892, 2000, 3422, 1996, 3309, 22019, 2460, 2034, 1012, 11333, 1024, 2003, 1996, 2460, 2183, 2000, 2377, 3892, 1029, 1039, 1024, 1045, 2123, 1005, 1056, 2113, 1010, 2021, 2008, 2052, 2022, 10392, 2138, 1996, 4378, 2876, 1005, 1056, 2113, 2008, 2183, 1999, 1012, 1031, 1996, 2460, 2106, 2377, 25828, 1012, 1033, 11333, 1024, 2348, 2070, 2111, 2031, 2464, 2009, 2061, 2027, 1005, 1040, 2175, 1010, 1000, 9353, 2232, 1010, 1045, 2488, 2175, 2131, 2070, 24593, 1012, 1045, 1005, 2310, 2525, 2464, 2009, 1012, 1000, 1039, 1024, 5064, 1045, 4797, 2009, 1012, 2021, 2026, 2391, 2001, 2183, 2000, 2022, 2008, 2017, 1005, 2310, 2941, 2589, 3243, 1037, 2978, 1997, 7820, 2143, 2147, 2058, 1996, 2086, 1010, 2673, 2013, 1996, 12698, 2008, 2017, 1005, 2310, 2589, 2000, 1996, 2434, 5835, 7596, 2460, 2000, 1996, 4098, 8731, 2867, 2008, 2017, 2106, 2005, 8692, 3185, 2982, 1010, 2029, 2024, 2070, 1997, 2026, 20672, 1012, 11333, 1024, 2821, 3398, 1012, 1045, 9471, 2055, 2008, 1012, 2057, 2106, 2216, 1999, 3027, 1012, 4276, 1012, 1046, 2015, 1024, 2347, 1005, 1056, 2009, 2648, 5759, 2030, 2242, 1029, 11333, 1024, 2025, 3027, 1012, 4276, 1012, 1045, 2215, 2000, 2360, 2933, 2080, 1010, 3146, 1012, 2009, 2001, 2648, 5759, 1010, 2138, 1045, 2228, 7291, 1998, 1045, 2020, 3015, 1999, 5759, 1012, 1046, 2015, 1024, 2003, 2008, 2054, 2001, 6230, 1029, 1039, 1024, 1045, 2228, 2115, 2137, 4671, 3293, 2003, 6919, 1012, 11333, 1024, 4283, 1012, 1031, 2000, 16756, 2386, 1033, 2054, 2031, 2057, 2042, 4129, 2111, 1029, 2057, 1005, 2310, 2042, 4129, 2111, 2023, 2003, 2256, 2034, 2051, 2551, 2362, 2144, 5481, 5974, 1010, 2021, 2057, 2106, 2216, 4098, 8731, 9132, 1998, 2057, 2106, 1996, 2137, 4671, 3293, 1012, 1046, 2015, 1024, 2064, 1045, 2360, 2028, 2518, 2295, 1029, 2057, 1005, 2310, 2589, 4933, 1999, 2090, 2021, 2009, 2347, 1005, 1056, 3495, 1999, 1996, 2690, 1025, 2009, 2001, 2062, 2066, 2157, 2646, 1996, 2203, 1012, 2025, 1996, 2203, 1010, 2021, 2062, 3728, 1010, 1996, 2203, 1997, 2256, 17060, 1012, 1039, 1024, 2054, 2079, 2017, 2079, 11543, 2043, 8455, 1037, 2460, 1012, 2007, 1996, 6453, 1997, 3309, 22019, 1010, 2017, 4025, 2000, 3579, 2006, 2893, 2000, 1996, 11680, 2157, 2185, 1012, 11333, 1024, 3398, 1012, 1045, 2228, 2005, 2169, 2028, 2009, 1005, 1055, 1037, 2878, 2367, 2518, 1012, 2005, 1996, 2137, 4671, 3293, 1010, 1045, 1005, 2310, 2589, 2060, 12698, 1010, 2021, 2005, 2087, 12698, 2017, 1005, 2128, 2074, 1037, 5086, 3124, 2725, 2115, 2518, 1012, 2017, 2453, 2228, 1045, 2106, 2009, 2013, 1996, 2126, 2009, 3504, 2030, 2242, 1010, 2021, 2008, 1005, 1055, 2145, 2025, 2242, 1045, 2626, 2030, 8826, 1012, 2009, 2038, 2498, 2000, 2079, 2007, 2026, 2219, 2147, 1010, 3272, 2005, 3056, 5107, 2477, 1045, 2453, 2079, 1037, 3056, 2126, 1012, 6168, 1996, 2137, 4671, 3293, 1010, 2008, 2003, 2242, 1045, 2106, 1010, 1045, 2626, 1010, 1045, 3459, 2026, 2814, 1999, 2009, 1012, 2027, 2292, 2033, 2079, 2054, 1045, 2359, 1012, 2021, 1045, 2018, 2122, 11709, 1024, 2009, 2001, 2048, 2781, 2146, 1010, 1998, 2009, 1005, 1055, 2019, 2137, 4671, 3293, 1012, 1998, 2057, 2106, 1037, 2154, 2005, 2305, 4066, 1997, 2518, 1010, 2061, 2008, 1005, 1055, 2054, 2057, 2106, 1012, 1998, 2009, 1005, 1055, 4569, 2000, 2156, 1010, 2045, 1005, 1055, 1037, 3185, 2012, 1996, 2927, 1997, 2008, 4463, 1998, 3142, 1031, 8872, 18155, 2050, 1033, 2024, 4011, 2000, 2022, 3772, 1999, 1010, 2027, 1005, 2128, 12097, 2000, 2022, 3772, 1999, 1037, 3185, 1012, 1998, 1996, 3185, 2027, 2024, 3772, 1999, 1010, 1045, 1005, 1040, 14396, 2216, 2000, 1996, 4098, 8731, 3248, 1010, 2009, 1005, 1055, 1037, 12354, 1997, 2242, 1012, 2008, 1005, 1055, 3733, 2000, 2079, 1012, 1039, 1024, 1998, 4463, 1010, 2017, 1005, 2128, 1999, 2558, 9427, 1999, 2008, 1012, 2001, 2008, 2077, 5032, 28429, 1029, 1046, 2015, 1024, 1045, 2469, 2572, 1012, 1045, 2228, 2008, 2001, 2044, 5032, 28429, 1010, 2021, 15056, 2438, 2009, 2001, 2915, 1999, 1996, 2168, 3295, 1012, 11333, 1024, 2017, 4364, 2915, 2045, 1029, 11333, 1024, 1037, 2334, 24466, 9594, 1012, 1039, 1024, 1045, 2113, 2008, 3309, 22019, 2460, 2001, 2915, 2055, 1037, 2095, 2077, 18243, 16963, 2989, 1012, 2001, 2045, 2130, 2019, 3535, 2030, 2245, 2000, 2191, 2009, 2112, 1997, 1996, 2168, 2143, 1029, 11333, 1024, 2027, 4066, 1997, 2024, 2112, 1997, 1996, 2168, 2143, 1012, 2027, 1005, 2128, 5799, 1012, 2021, 1996, 2034, 2518, 2008, 1045, 1005, 1040, 2245, 1997, 2001, 1996, 2927, 1997, 1996, 3444, 1012, 1998, 2008, 1005, 1055, 1037, 2613, 2927, 1011, 1997, 1011, 1037, 1011, 3185, 3496, 1010, 2009, 1005, 1055, 3214, 2000, 2022, 1996, 2927, 1012, 2061, 2059, 1045, 2371, 2009, 2428, 5807, 1005, 1056, 2031, 1037, 2460, 1999, 2392, 1997, 2009, 1012, 2017, 2323, 2022, 8660, 1999, 2007, 3021, 6264, 1031, 2770, 2044, 1998, 4821, 4394, 1037, 3345, 1033, 1998, 2059, 2017, 1005, 2128, 2125, 1012, 2012, 1996, 2168, 2051, 2057, 2031, 2023, 2460, 2008, 2515, 2175, 2007, 1996, 2143, 1998, 2004, 2057, 2506, 2000, 4339, 1996, 3185, 2130, 2044, 2057, 1005, 1040, 2915, 1996, 2460, 1010, 2057, 2020, 11383, 2068, 2062, 1998, 2062, 1010, 1998, 2027, 2020, 3352, 2062, 1998, 2062, 7790, 2006, 2169, 2060, 1012, 1998, 2061, 2009, 2001, 1037, 11989, 1999, 1996, 2203, 1010, 2129, 2079, 1045, 2556, 2122, 2048, 2477, 2008, 1045, 1005, 2310, 2081, 2138, 2027, 2020, 10141, 2061, 2302, 2151, 2613, 3293, 2245, 2055, 2129, 2027, 2020, 3214, 2000, 2022, 3491, 1012, 2059, 1045, 2787, 2008, 2672, 1996, 2126, 2000, 2079, 2008, 2003, 2000, 2265, 1996, 2460, 2006, 1996, 4274, 1012, 2057, 2064, 2074, 2507, 1996, 2460, 2185, 2005, 2489, 1010, 1998, 10334, 2040, 4122, 2000, 2156, 2009, 2064, 2156, 2009, 1012, 2021, 1999, 1996, 2203, 1010, 2025, 7955, 2003, 2307, 2007, 1996, 4274, 1010, 2017, 2113, 1029, 2061, 2070, 2111, 2360, 1010, 1000, 1045, 2699, 2000, 2131, 2009, 1010, 2021, 1045, 2481, 1005, 1056, 1012, 1000, 1039, 1024, 2130, 2007, 2489, 4933, 1010, 2027, 2064, 1005, 1056, 2131, 2009, 1012, 11333, 1024, 2130, 2007, 2489, 4933, 1012, 2061, 1045, 1005, 1049, 2025, 2469, 2065, 2008, 2001, 1996, 2157, 3247, 1012, 1039, 1024, 2054, 2001, 5875, 2012, 1996, 2811, 11326, 1045, 2253, 2000, 2001, 2008, 3773, 2068, 2067, 2000, 2067, 2066, 2008, 1010, 2672, 4895, 18447, 4765, 19301, 2135, 1010, 2081, 4463, 1005, 1055, 2839, 1996, 3579, 1997, 2012, 2560, 1996, 2927, 1997, 18243, 16963, 2989, 3132, 1012, 2017, 1005, 2128, 1996, 2732, 1997, 1996, 2143, 2005, 1037, 2096, 1010, 2012, 2560, 1999, 1996, 4378, 1005, 1055, 9273, 2138, 2017, 1005, 2128, 1996, 2069, 2028, 2057, 2113, 2242, 2055, 2183, 2046, 1996, 2364, 2466, 1012, 2017, 1005, 2128, 2256, 4443, 2391, 2046, 2023, 2088, 1012, 1046, 2015, 1024, 1045, 5791, 6051, 2009, 2008, 2126, 1031, 11680, 1033, 1012, 11333, 1024, 2008, 1005, 1055, 2157, 1012, 1998, 2010, 3124, 2003, 4066, 1997, 1996, 6254, 12199, 1997, 1996, 2177, 1012, 2002, 1005, 1055, 1996, 2028, 2008, 25357, 2009, 1012, 2045, 1005, 1055, 2242, 2055, 2008, 2763, 3084, 2009, 2242, 1997, 2010, 2391, 1997, 3193, 1012, 2005, 2033, 1996, 2460, 2003, 2066, 1037, 2460, 2466, 2008, 2017, 3191, 1010, 1998, 2059, 1996, 3185, 2017, 3191, 2178, 2051, 1012, 2061, 2008, 1005, 1055, 2339, 2009, 1005, 1055, 2042, 1037, 11989, 2005, 2033, 2129, 2027, 2020, 2428, 3214, 2000, 2022, 3591, 1012, 2045, 1005, 1055, 2347, 1005, 1056, 2428, 1037, 2933, 2005, 1996, 2713, 1997, 2023, 2043, 2057, 2318, 1012, 2612, 1010, 2057, 2081, 2068, 2119, 1998, 2059, 2018, 2000, 3275, 2009, 2041, 1012, 2054, 1045, 2097, 2360, 2003, 1010, 2367, 2111, 2097, 2156, 2068, 1999, 2367, 2126, 1998, 2367, 2111, 2097, 17841, 2068, 1999, 2367, 3971, 1010, 1998, 2009, 1005, 2222, 2031, 1037, 2367, 3466, 2006, 2111, 2138, 2009, 1005, 1055, 2107, 2019, 5976, 2477, 2000, 3422, 1012, 1039, 1024, 2017, 3855, 3021, 6264, 12081, 2012, 1996, 2927, 1997, 1996, 2143, 1012, 2045, 1005, 1055, 2042, 2070, 6594, 2008, 2672, 2002, 2003, 5064, 12613, 1997, 2037, 2269, 5064 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2426, 4286, 2040, 3218, 12626, 2100, 1010, 2308, 2031, 1010, 2005, 1996, 2087, 2112, 1010, 2042, 12739, 2007, 2753, 1009, 5306, 18726, 2334, 22889, 16446, 1006, 2028, 1011, 2000, 1011, 2028, 1007, 2007, 2273, 1010, 2348, 1996, 1000, 7565, 1000, 4703, 2175, 2114, 2037, 2097, 1012, 2130, 2295, 1037, 3611, 2453, 1000, 2507, 1000, 2010, 2684, 2000, 2028, 2158, 2030, 2178, 2005, 1037, 2843, 1997, 4436, 1010, 2062, 4703, 2010, 3247, 11072, 2010, 2219, 3791, 2612, 1997, 25247, 2216, 1997, 2010, 2684, 1012, 1999, 2755, 1010, 2445, 2273, 1005, 1055, 3037, 1999, 4424, 1998, 3671, 3348, 1010, 1996, 6614, 1997, 2108, 12739, 2007, 2028, 2158, 2003, 2019, 4089, 9353, 4048, 13331, 3468, 7863, 2005, 1996, 3484, 1997, 2308, 1010, 2144, 3180, 3348, 2003, 4050, 1996, 8281, 2008, 7644, 3284, 2426, 2273, 1999, 7189, 2000, 1000, 2931, 6179, 2791, 1012, 1000, 1999, 2023, 6123, 1010, 2057, 2064, 1005, 1056, 2110, 2008, 2308, 2031, 2042, 15486, 2011, 12626, 2100, 1999, 3408, 1997, 11414, 2068, 2007, 2273, 1010, 2069, 2008, 2009, 2038, 3478, 1999, 11414, 2068, 2007, 4364, 2027, 2052, 10350, 4900, 2000, 2022, 2007, 1012, 18840, 2169, 2611, 5454, 2174, 1010, 9005, 1037, 2367, 3601, 2832, 2008, 2003, 2172, 1012, 2089, 1010, 2057, 2777, 1999, 2258, 1998, 2008, 2002, 2018, 2042, 11341, 2033, 2007, 1037, 6546, 8270, 1998, 2962, 19467, 1010, 2005, 2388, 1005, 1055, 2154, 1012, 2008, 1005, 1055, 1996, 2785, 1997, 3265, 2002, 2003, 1012, 2057, 2333, 2000, 7419, 2824, 1010, 5691, 1010, 11938, 1010, 7665, 2015, 1010, 3509, 26256, 2015, 1998, 7365, 1012, 2198, 1998, 1045, 5632, 2169, 2060, 1005, 1055, 2194, 2738, 2057, 2018, 2042, 3666, 1037, 3185, 1999, 2115, 23771, 2160, 20833, 26119, 1011, 2064, 4140, 1050, 2497, 2030, 2055, 1998, 2041, 1012, 2002, 2001, 2467, 2045, 2043, 1045, 2359, 2032, 14045, 7292, 2015, 4439, 2058, 2044, 1037, 2146, 2154, 2144, 2057, 2018, 2242, 3740, 1012, 2077, 2057, 3092, 2256, 3276, 1010, 2057, 6052, 2005, 1016, 29100, 2015, 2021, 2057, 2145, 3961, 2814, 1012, 1045, 2234, 2188, 2000, 2424, 1037, 5216, 1997, 10529, 8461, 1999, 2026, 16125, 1012, 1045, 6880, 2354, 1996, 2171, 1997, 2026, 11989, 26119, 1011, 2064, 4140, 2047, 9192, 2334, 22889, 16446, 2040, 2215, 2000, 6616, 1012, 1000, 2054, 2003, 2115, 2466, 1029, 1000, 1045, 2018, 2356, 2032, 1012, 1000, 2115, 26119, 1011, 2064, 4140, 2047, 9192, 6040, 2006, 3784, 5306, 6412, 2003, 4064, 1012, 1000, 1000, 2026, 2466, 2003, 3243, 3722, 1010, 1000, 2002, 2056, 1012, 1000, 1045, 2066, 2000, 2219, 4569, 7292, 2015, 1012, 1000, 2010, 6337, 3746, 2003, 1037, 2227, 3238, 1010, 2606, 3238, 15190, 1012, 2053, 7008, 1012, 6270, 11213, 2055, 2919, 3337, 2077, 2183, 1010, 2292, 2149, 25037, 3056, 10017, 3348, 6876, 3002, 1011, 6506, 25196, 2008, 2308, 2052, 2066, 2000, 2022, 2007, 3337, 2008, 2024, 2919, 1012, 2009, 3544, 8307, 2318, 9359, 1037, 19075, 2000, 1996, 4364, 1997, 1996, 26119, 1011, 2064, 4140, 2047, 9192, 9677, 2334, 22889, 16446, 2008, 3057, 2066, 1000, 2919, 3337, 1000, 1045, 2215, 2000, 2425, 2017, 1010, 2008, 2003, 3294, 10231, 1010, 2008, 2003, 2157, 1045, 2056, 2009, 29132, 999, 999, 999, 999, 999, 2006, 1037, 26119, 1011, 2064, 4140, 21392, 2075, 17074, 2015, 8398, 3978, 1010, 2021, 2017, 3942, 5121, 2025, 3376, 6047, 2308, 2007, 2273, 2040, 7438, 2068, 6649, 1998, 2036, 2017, 2064, 2025, 3305, 2339, 2027, 2024, 2362, 2007, 2068, 1012, 2061, 2017, 2707, 8929, 1996, 19379, 8162, 1012, 1999, 2553, 2017, 1005, 2310, 4553, 2242, 2055, 1996, 14818, 12955, 1006, 1996, 3287, 8962, 11916, 11647, 1007, 1998, 1045, 2064, 2425, 2017, 2005, 1037, 2755, 2008, 2308, 2079, 2025, 2215, 2000, 2022, 2007, 1000, 3532, 3337, 1000, 1010, 12181, 2015, 1010, 6900, 1011, 8641, 1998, 22052, 2015, 1012, 2017, 2064, 5245, 2204, 2111, 2320, 2017, 2024, 2667, 2011, 2054, 4025, 2066, 6034, 5328, 2185, 1012, 2009, 1005, 1055, 2025, 2467, 3733, 2000, 5860, 11795, 1996, 4489, 2090, 4654, 7913, 26725, 1998, 1037, 6772, 1999, 1037, 6337, 1012, 2023, 3475, 1005, 1056, 1037, 5142, 2005, 2169, 1998, 2296, 3784, 2266, 1010, 2021, 2009, 5158, 1012, 1000, 21910, 2545, 2024, 16592, 2015, 2008, 2024, 16312, 2000, 7323, 1996, 26119, 1011, 2064, 4140, 1050, 2497, 2190, 6062, 5306, 18726, 1997, 2054, 2453, 2022, 1010, 2738, 2084, 26103, 2135, 12786, 2037, 3327, 2969, 1011, 15615, 9164, 1998, 8754, 17441, 2054, 2003, 1012, 1000, 1011, 1011, 3889, 13955, 14956, 2072, 2057, 2288, 2067, 2188, 2044, 2054, 2790, 2000, 2022, 1996, 2482, 4536, 2012, 2482, 1011, 4536, 2381, 1012, 1045, 2371, 2066, 1037, 4845, 1012, 1037, 9951, 2028, 2012, 2008, 1010, 1998, 20016, 2209, 1996, 2535, 1997, 1996, 2269, 2008, 2001, 8665, 16408, 2000, 1037, 1056, 1012, 2021, 2065, 2017, 2024, 2464, 2011, 2014, 2101, 1010, 2017, 2071, 2022, 2988, 2011, 2014, 1012, 2017, 2442, 2022, 2062, 2334, 22889, 16446, 2444, 16947, 1011, 4850, 2063, 1011, 2139, 1011, 26563, 12162, 1010, 2004, 1045, 3855, 3041, 1010, 2065, 2017, 2024, 25430, 11514, 2075, 1999, 2028, 3962, 2005, 2019, 3668, 2558, 1012, 2017, 2442, 3457, 2115, 5884, 1012, 2043, 9083, 1999, 1015, 3385, 2290, 10017, 3348, 2969, 9009, 2003, 1997, 1996, 27917, 5197, 1012, 2127, 1045, 3437, 1045, 2342, 2000, 5136, 2009, 1012, 2064, 2057, 2175, 2067, 2000, 1996, 2555, 1997, 1996, 6594, 2044, 1045, 1005, 2310, 2018, 2051, 2000, 3284, 18244, 5306, 18726, 2006, 2009, 1029, 1000, 11839, 2005, 2643, 2000, 2393, 2017, 7523, 1996, 7812, 2616, 1998, 2000, 1996, 18591, 1012, 11839, 2005, 9866, 1998, 8424, 1998, 1037, 5475, 4382, 2000, 5047, 1996, 3433, 1012, 2087, 1997, 2035, 1010, 11839, 2643, 2097, 2393, 2017, 5441, 2032, 1998, 2010, 2933, 2005, 2017, 2012, 1996, 2415, 1997, 2009, 2035, 1012, 2033, 1024, 1045, 2064, 1005, 1056, 11234, 2045, 1010, 2664, 1045, 2145, 2064, 1005, 1056, 2074, 2039, 1998, 3793, 2334, 22889, 16446, 2022, 6169, 23402, 2185, 2007, 2017, 1012, 1045, 1005, 1049, 3374, 1012, 1012, 1012, 1045, 2215, 2000, 2147, 2006, 1037, 3276, 2007, 2017, 1010, 1998, 2672, 12208, 4784, 1997, 26811, 2101, 2091, 1996, 2346, 2295, 1012, 1012, 1012, 1998, 7010, 14540, 2923, 3167, 2015, 8040, 3286, 1005, 1055, 2060, 2062, 2691, 1010, 2828, 8681, 28516, 2015, 1012, 2054, 2024, 28516, 2015, 1029, 1996, 2460, 3437, 2003, 2027, 2024, 4066, 1997, 1012, 2027, 2024, 2580, 2005, 1996, 3800, 1997, 2437, 2009, 3722, 2005, 1037, 8040, 3286, 5017, 1012, 2019, 4274, 28516, 2003, 1037, 2828, 1997, 4007, 2565, 2008, 2003, 2881, 2000, 6204, 2019, 12978, 3105, 1012, 1996, 28516, 2064, 4133, 2105, 1998, 26751, 1996, 4708, 2000, 2707, 1998, 3202, 2543, 2125, 1037, 7514, 1012, 1996, 2773, 2075, 2013, 1996, 3437, 2097, 2022, 23563, 1998, 2453, 2031, 1037, 4957, 2000, 4873, 1012, 2043, 2009, 3310, 2000, 1996, 7010, 14540, 2923, 3167, 2015, 5433, 1010, 1996, 28516, 2069, 2038, 2028, 3800, 1012, 2017, 4604, 2019, 10373, 2008, 2017, 2903, 2003, 2013, 1037, 2711, 2008, 2003, 2613, 1012, 1996, 28516, 3202, 10255, 1037, 3433, 2000, 2017, 1012, 10960, 2064, 2022, 2741, 2011, 1996, 28516, 19059, 2084, 2019, 5025, 2529, 2064, 4685, 1012, 2085, 2292, 1005, 1055, 2360, 2017, 2106, 2054, 10454, 2106, 1010, 1998, 2511, 1037, 26119, 1011, 2064, 4140, 2047, 9192, 3058, 2334, 22889, 16446, 10424, 2890, 2429, 2000, 2010, 3791, 2004, 2017, 23084, 2068, 1000, 2821, 1010, 2002, 2003, 1037, 3124, 1010, 2002, 2052, 2066, 2000, 2175, 1999, 2010, 5430, 1010, 1045, 2428, 2123, 1005, 1056, 2215, 2000, 20868, 17728, 2618, 2032, 1010, 2292, 2032, 2022, 2489, 4385, 1012, 1000, 2085, 29337, 1005, 2128, 4214, 2032, 2296, 2060, 2154, 1011, 1011, 2360, 1010, 6928, 1010, 9317, 1010, 5958, 1006, 11967, 1038, 1007, 1012, 2002, 1005, 1055, 3497, 2000, 5060, 1037, 24353, 2013, 26163, 1998, 4687, 2054, 2003, 2039, 1010, 2065, 2017, 26119, 1011, 2064, 4140, 1050, 2497, 7916, 2334, 5515, 22889, 16446, 1999, 12095, 2032, 2006, 1037, 9432, 1012, 1998, 1996, 2655, 2071, 4175, 2114, 2017, 1012, 2004, 2017, 1005, 2310, 3191, 1010, 2045, 2024, 2048, 7957, 1997, 2943, 6144, 1024, 3633, 2040, 2024, 5204, 1997, 2054, 2027, 1005, 2128, 2725, 1998, 2111, 2008, 2024, 2025, 1012, 29221, 4696, 2027, 2991, 2046, 1010, 2115, 2034, 3357, 2052, 2022, 2000, 2156, 2068, 2005, 2040, 2027, 2024, 1012, 2077, 2057, 5382, 2008, 2027, 2024, 2025, 2725, 2149, 2151, 2204, 2057, 2064, 2031, 1996, 3308, 2111, 1999, 2256, 2219, 3268, 2005, 1037, 2051, 1012, 2017, 2024, 2559, 2012, 1037, 5210, 2065, 2017, 10862, 8087, 4997, 6699, 2044, 5938, 2051, 2007, 1037, 2711, 1012, 2057, 2097, 7949, 28466, 2389, 2111, 1037, 2307, 3066, 1997, 27745, 1010, 1998, 3227, 1010, 4286, 2024, 7199, 2005, 23795, 1998, 16833, 2009, 2039, 2000, 2068, 2383, 1037, 2919, 2154, 1010, 2030, 1005, 2183, 2083, 14045, 20744, 1005, 1999, 1996, 2556, 2051, 1012, 2057, 2191, 21917, 2005, 2122, 1010, 2021, 2057, 1005, 2310, 2288, 1037, 9535, 3110, 2008, 2023, 3265, 2003, 2025, 28662, 5306, 18726, 2005, 2149, 1012, 7249, 2027, 2175, 1010, 2065, 1037, 2711, 2467, 4490, 4786, 26865, 1010, 2027, 1005, 2128, 3497, 2074, 2019, 10041, 999, 2079, 2025, 3499, 1037, 2711, 2138, 2017, 2514, 3374, 2005, 2068, 2000, 2562, 2893, 2185, 2007, 2107, 9164, 1012, 5136, 2073, 1996, 2450, 2007, 2115, 3643, 2291, 2052, 5247, 2014, 2051, 1012, 2017, 1005, 2222, 2788, 2424, 2009, 1005, 1055, 2183, 2000, 2022, 1999, 1037, 2173, 1012, 1037, 2843, 1997, 2273, 3322, 2024, 20221, 2000, 3921, 2076, 1996, 26119, 1011, 2064, 4140, 2047, 9192, 2138, 2027, 2228, 2308, 2024, 4548, 1010, 2030, 2009, 2003, 17109, 1010, 2030, 2017, 2024, 14888, 2068, 1012, 2122, 2024, 2074, 16021, 8586, 29366, 2017, 2024, 18398, 2000, 2068, 1012, 2551, 26119, 1011, 2064, 4140, 9530, 2015, 1997, 5306, 18726, 1012, 2022, 3154, 2055, 2073, 2017, 1005, 2310, 2499, 1999, 1996, 2627, 1012, 2022, 2004, 6851, 2004, 2825, 1012, 2130, 2065, 2017, 2031, 2499, 2112, 2051, 1999, 9383, 2015, 2030, 1037, 11937, 3597, 10118, 1012, 2017, 11276, 2000, 2501, 2115, 22676, 2030, 2070, 6951, 5502, 1012, 2013, 2008, 2177, 1010, 2045, 2097, 5121, 2022, 1012, 14622, 2023, 1999, 4426, 1998, 2500, 2515, 2025, 2812, 2008, 2017, 2507, 2039, 1996, 3604, 2030, 2031, 2000, 2272, 2067, 2000, 1996, 2276, 1025, 2009, 2003, 2069, 7965, 2000, 3305, 1998, 2009, 1005, 2222, 2393, 3828, 2017, 2051, 1998, 3255, 1999, 1996, 2420, 1998, 2706, 2000, 2272, 1012, 1045, 1005, 1049, 1037, 3124, 2008, 2003, 6881, 2138, 2065, 29337, 1005, 2128, 3671, 2017, 2024, 2334, 10245, 22889, 16446, 9765, 13421, 1998, 1045, 2572, 2986, 2007, 2008, 1012, 2017, 1005, 2128, 2066, 3071, 2842, 1012, 1045, 2031, 2042, 2170, 6881, 2011, 3057, 2116, 2335, 1012, 2043, 2008, 6433, 1045, 4756, 1010, 5993, 2362, 1998, 2562, 2108, 2026, 3671, 2969, 2008, 2003, 6881, 1012, 2007, 2033, 2183, 2006, 1037, 3058, 2007, 1996, 2611, 2008, 2069, 2170, 2033, 13576, 1037, 2261, 5312, 2570, 1010, 1010, 2008, 8290, 12321, 1012, 3633, 2024, 12232, 2011, 1996, 2231, 2000, 1996, 6197, 1997, 25501, 2005, 8311, 2008, 2024, 7528, 1998, 14342, 2107, 2273, 1998, 2308, 2024, 3631, 1029, 2017, 4914, 2017, 2024, 12072, 2100, 1012, 2009, 2003, 4788, 2084, 2108, 3631, 1010, 2021, 1045, 1005, 1049, 5580, 2017, 1005, 2310, 2579, 1037, 3357, 1999, 12151, 2017, 2288, 3471, 1012, 2017, 1005, 2128, 1037, 24471, 17231, 1012, 2017, 1005, 2128, 4129, 2149, 2009, 1005, 1055, 14910, 15148, 1012, 2175, 1998, 5454, 2195, 4272, 1012, 2131, 1037, 3105, 1998, 2036, 2022, 2583, 2000, 2327, 1011, 2039, 2115, 3042, 1998, 2644, 2437, 21917, 1012, 2644, 5968, 29154, 3057, 1012, 2022, 4699, 1999, 2037, 7574, 1012, 2017, 2323, 2224, 3793, 1010, 10373, 1998, 2130, 2376, 21397, 2000, 19818, 2951, 2008, 2003, 3442, 2069, 1012, 1000, 2054, 2051, 2024, 2057, 3116, 1010, 1000, 1000, 2054, 2003, 1996, 4769, 1010, 1000, 2023, 2785, 1997, 2518, 1012, 4471, 2008, 2003, 27978, 2100, 2030, 1996, 8138, 19394, 2003, 2986, 1010, 2021, 10017, 3348, 11058, 2997, 2216, 2071, 2022, 3395, 2000, 24216, 1012, 2023, 5656, 6135, 24357, 2015, 2477, 2105, 1010, 2144, 29337, 1005, 2128, 1999, 2755, 10537, 2037, 3265, 3012, 2738, 2084, 2074, 7851, 2006, 2115, 2219, 1998, 2437, 2068, 2514, 2019, 7107, 17191, 4957, 2007, 2017, 3188, 2000, 2017, 2031, 2941, 2130, 5287, 2007, 2068, 1012, 1999, 3408, 1997, 12320, 8432, 1010, 1999, 2014, 2159, 1010, 2009, 1005, 1055, 2158, 1005, 1055, 14818, 12955, 1998, 2010, 4105, 11647, 2029, 2064, 2191, 2017, 2062, 16004, 1010, 2062, 7782, 1010, 2062, 3376, 1010, 2062, 2035, 12228, 1010, 2062, 3404, 3085, 1010, 2062, 3003, 2135, 1010, 2062, 10990, 1010, 2062, 3928, 1010, 2062, 17075, 1998, 2062, 12581, 9657, 1012, 2115, 12955, 2024, 2066, 1037, 16853, 2008, 17771, 1996, 2204, 2518, 1998, 2308, 2003, 2008, 2308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6960, 8370, 9798, 1024, 8192, 4275, 1006, 2112, 1018, 1997, 1021, 1007, 2028, 5770, 1997, 1996, 25835, 7705, 2005, 8370, 2015, 3107, 2197, 2733, 2003, 2008, 2009, 7126, 2149, 7523, 1006, 1998, 3640, 12369, 2046, 1007, 3145, 13315, 1999, 1037, 8370, 16927, 1998, 2049, 10949, 1012, 4824, 2122, 10949, 2003, 8050, 2000, 2311, 1037, 2614, 8370, 5656, 1012, 2028, 1997, 1996, 7860, 1999, 21296, 2075, 1037, 8370, 6502, 2003, 2008, 1996, 2566, 12044, 3512, 2791, 1997, 1037, 2312, 4094, 8370, 10813, 12817, 3674, 13315, 2306, 2019, 3029, 1012, 1997, 2607, 1010, 1996, 2372, 1997, 2169, 1997, 2122, 9501, 2903, 2027, 2031, 27118, 8751, 22966, 2916, 2006, 2129, 1037, 8370, 2323, 2022, 5166, 2098, 1010, 4944, 2098, 1010, 1998, 7333, 1012, 18527, 1010, 1996, 2560, 3928, 5540, 2089, 2941, 2022, 1996, 4646, 2203, 5310, 1010, 1996, 2711, 2040, 3594, 1037, 8370, 4322, 2000, 2448, 1037, 8370, 1011, 9124, 4646, 2006, 1037, 2154, 1011, 2000, 1011, 2154, 3978, 2000, 2131, 2010, 2030, 2014, 3105, 2589, 1012, 2008, 2711, 7887, 6322, 1996, 12546, 1997, 1996, 2800, 4219, 1010, 2664, 2064, 1521, 1056, 2079, 2172, 3458, 17949, 2138, 4335, 2180, 1521, 1056, 2272, 2077, 1996, 2279, 21423, 5402, 1006, 2029, 2003, 1037, 2095, 2030, 2048, 2185, 1007, 1012, 2023, 2089, 2689, 1999, 1996, 2925, 2138, 8370, 9798, 2003, 2012, 1996, 22870, 1997, 14972, 8790, 15592, 1012, 2028, 1997, 1996, 6666, 1997, 1996, 25835, 7705, 2005, 8370, 2015, 3107, 1999, 1996, 3025, 3720, 1999, 2023, 2186, 2003, 2008, 2009, 27777, 1996, 5456, 1998, 3640, 12369, 2046, 3145, 13315, 1999, 1037, 8370, 16927, 1998, 1996, 10949, 2920, 1012, 4824, 2122, 10949, 2003, 8050, 2000, 2311, 1037, 2614, 8370, 5656, 1012, 2057, 2097, 6848, 2092, 1011, 2124, 8192, 4275, 1006, 2107, 2004, 5402, 8040, 10696, 22373, 1007, 1998, 8849, 2129, 2027, 4906, 2004, 3327, 3572, 1999, 1996, 7705, 1012, 1996, 25835, 7705, 2685, 2000, 3176, 8192, 4275, 2008, 2020, 2025, 5793, 2077, 1010, 2107, 2004, 1996, 3617, 4367, 3861, 4353, 1012, 8192, 4275, 2024, 6179, 1999, 1996, 4106, 1997, 3375, 3001, 2138, 2027, 3499, 1996, 5456, 1997, 2291, 5918, 2008, 9375, 2019, 10061, 4294, 2008, 6010, 2122, 5918, 1012, 1996, 4294, 2064, 2022, 7107, 15070, 2046, 1037, 24013, 5576, 2005, 1037, 3327, 3663, 1012, 2122, 6550, 2024, 8212, 1999, 3275, 1015, 1012, 1996, 12375, 1997, 2122, 8474, 2003, 14953, 2135, 12170, 1011, 20396, 1012, 2005, 6013, 1010, 2019, 4646, 2203, 5310, 2559, 2005, 1037, 3327, 5576, 2064, 2788, 2191, 28937, 2015, 2055, 2054, 3563, 8370, 4294, 2015, 2097, 1006, 2030, 2097, 2025, 1007, 4906, 1996, 3327, 5576, 1012, 10655, 1010, 2005, 1037, 2445, 4294, 1010, 2009, 2003, 2825, 2000, 4287, 2041, 1037, 5337, 4106, 2000, 2424, 2041, 1996, 2846, 1997, 3471, 2005, 2029, 1996, 4294, 16189, 4621, 7300, 1012, 2028, 20610, 2742, 2003, 1996, 2465, 1997, 3471, 2124, 2004, 1523, 16436, 2135, 5903, 1524, 2107, 2004, 10125, 9758, 24710, 2008, 2064, 2022, 2448, 1999, 1037, 5500, 4044, 2007, 2210, 4807, 1012, 1037, 8370, 2881, 2000, 2448, 2122, 3471, 2342, 2025, 2031, 1037, 2312, 4664, 1997, 1996, 3007, 5211, 11095, 2000, 1996, 4807, 4942, 6508, 13473, 2213, 1012, 2043, 2057, 6611, 1996, 25835, 8370, 7705, 2000, 1037, 3327, 8370, 1010, 2057, 7523, 2008, 2045, 4839, 4310, 8192, 4275, 2005, 2169, 6741, 1999, 1996, 7705, 2004, 7203, 1999, 3275, 1016, 1012, 8192, 4275, 1999, 2028, 6741, 2089, 2031, 5198, 1006, 1045, 1012, 1041, 1012, 1010, 13315, 1998, 2224, 3572, 2008, 2024, 3327, 2000, 2008, 6741, 1007, 1012, 1999, 1037, 2312, 3029, 2009, 2003, 2025, 13191, 2000, 2156, 13315, 1999, 2367, 9014, 2012, 10238, 2007, 2169, 2060, 1012, 2005, 6013, 1010, 1999, 1996, 2449, 8370, 1010, 1037, 5310, 2003, 1996, 2708, 3361, 2961, 1006, 12935, 2080, 1007, 2005, 1996, 3029, 1012, 1996, 8192, 2944, 2071, 2022, 1996, 21423, 2944, 1010, 1998, 3563, 2224, 3572, 2024, 2041, 1011, 14768, 6129, 1998, 1999, 1011, 14768, 6129, 8370, 2578, 1012, 1996, 12935, 2080, 2003, 4699, 1999, 7163, 4328, 6774, 1996, 3452, 5211, 3465, 1010, 2029, 2089, 2022, 1999, 4736, 1997, 1996, 4087, 3095, 2040, 2215, 1037, 3928, 1010, 4298, 6450, 2291, 2006, 2029, 2000, 2448, 2037, 5097, 1012, 2664, 2178, 2447, 2003, 1996, 2009, 3095, 2437, 1996, 5025, 17402, 1998, 4346, 6032, 2578, 1012, 1996, 25022, 2080, 2052, 2066, 2000, 7276, 3941, 2007, 1996, 3284, 25223, 1998, 7290, 4082, 5366, 1012, 3275, 1016, 3065, 2028, 2742, 1997, 2122, 4784, 2478, 1996, 3558, 8370, 1012, 17368, 2015, 4133, 2012, 1996, 7290, 6741, 1999, 1996, 8370, 7705, 1012, 2057, 11949, 2008, 6623, 4646, 5198, 2031, 2210, 8290, 2007, 17368, 2015, 1006, 2004, 3558, 5733, 1007, 1012, 1996, 5025, 5310, 2012, 2023, 2504, 2003, 1037, 8051, 2640, 3992, 2046, 3563, 1015, 1011, 1010, 1016, 1011, 1010, 2030, 1018, 1011, 13151, 7300, 1012, 2036, 3602, 2008, 2348, 1037, 13151, 2038, 3056, 3638, 20235, 10673, 1010, 1996, 5025, 20235, 2003, 4340, 2011, 1996, 11772, 3388, 3479, 1006, 4989, 2003, 2036, 1996, 3105, 1997, 1037, 2640, 3992, 1007, 1012, 1996, 9095, 2005, 1996, 5025, 3638, 2836, 2003, 4821, 4340, 2011, 1996, 11772, 3388, 1012, 2023, 2003, 2000, 2360, 2008, 1996, 6741, 2682, 9605, 11772, 8454, 17607, 2015, 5918, 2006, 1996, 17368, 6741, 1012, 2302, 2122, 5918, 1010, 2028, 2052, 7180, 2012, 1996, 9413, 20793, 3560, 7091, 2008, 3454, 2448, 5514, 2125, 1996, 17053, 1010, 1998, 6516, 3638, 2003, 2069, 2019, 14203, 4012, 21557, 1012, 2023, 2003, 1010, 1997, 2607, 1010, 2025, 1996, 2553, 2138, 5097, 2770, 2012, 1996, 13045, 2504, 2031, 3563, 3638, 2686, 5918, 1012, 2122, 5918, 2131, 2979, 2091, 2000, 1996, 2896, 9014, 1025, 11177, 7264, 4839, 2090, 9014, 1024, 5918, 2024, 2979, 2013, 2028, 2504, 2000, 1996, 2279, 1012, 1037, 3056, 5703, 3791, 2000, 4839, 2408, 9014, 2005, 1996, 2878, 2291, 2000, 2022, 14874, 1012, 1037, 2152, 2836, 2291, 3685, 2022, 2328, 2065, 2009, 2003, 2061, 6450, 2008, 2009, 7807, 1996, 5166, 1012, 2151, 2291, 5836, 1037, 12014, 2008, 2003, 11701, 2000, 2035, 13315, 2920, 1012, 1996, 4556, 8192, 2944, 1997, 5402, 8040, 10696, 22373, 2005, 8370, 2015, 1517, 2073, 2690, 8059, 2003, 2109, 2000, 11203, 4728, 15171, 12709, 1999, 2573, 12516, 2015, 1998, 14903, 1517, 2003, 1037, 8192, 2944, 12711, 2000, 1996, 5710, 8370, 6741, 1012, 1996, 8370, 4646, 5310, 2451, 6666, 2013, 2023, 7692, 1010, 2021, 2122, 12709, 7166, 2000, 2022, 1997, 2659, 3737, 1024, 1996, 7692, 2064, 2022, 3653, 6633, 13876, 2098, 2151, 2051, 2011, 1996, 3954, 1997, 1996, 2573, 12516, 1012, 1996, 3954, 6322, 26118, 1999, 1996, 26651, 2791, 1997, 1996, 2573, 12516, 1012, 1996, 2573, 12516, 2097, 3497, 2342, 2000, 2022, 9347, 2098, 2007, 2062, 3638, 1998, 5527, 1010, 11265, 16961, 2070, 1997, 1996, 3171, 5770, 1997, 7037, 2224, 1012, 10655, 1996, 2009, 2533, 4346, 2326, 2097, 3497, 5247, 2062, 1999, 4450, 1998, 4007, 15943, 2000, 5441, 1996, 3941, 1012, 1037, 3465, 1013, 5770, 4106, 2408, 2048, 2030, 2093, 3798, 2089, 5769, 2008, 1037, 2488, 5576, 2003, 2000, 10408, 1037, 8370, 2007, 4056, 8051, 1010, 2008, 2003, 1010, 8051, 2008, 2003, 4207, 2004, 1037, 8370, 2021, 3929, 4056, 2000, 8370, 2224, 1012, 2057, 21795, 2012, 2070, 1997, 1996, 2449, 8370, 8192, 4275, 1012, 2951, 8370, 2015, 2024, 2062, 2084, 7484, 3550, 5527, 3001, 1998, 2071, 2599, 1996, 2126, 2000, 2047, 8192, 4275, 1998, 2449, 4275, 1010, 2029, 26077, 2091, 2000, 2449, 8370, 8192, 4275, 1012, 2005, 6013, 1010, 1037, 8370, 2007, 2184, 1010, 2199, 2951, 14164, 2003, 6464, 1037, 5080, 2007, 2184, 1010, 2199, 1011, 10671, 2417, 18426, 9407, 1012, 1996, 28041, 1997, 2061, 2116, 14164, 2064, 2022, 2019, 5056, 2000, 5547, 1996, 9723, 1997, 2951, 3279, 1012, 2019, 4646, 2071, 10408, 1037, 5371, 2291, 4013, 3567, 6321, 2881, 2000, 3113, 8990, 2151, 2504, 1997, 15258, 1012, 2009, 2064, 3659, 2041, 1996, 2951, 1999, 1996, 6764, 2061, 4235, 2008, 1996, 2291, 16582, 2015, 2066, 1037, 7570, 24915, 1024, 2130, 2065, 2116, 1997, 1996, 14164, 2024, 2439, 1010, 2009, 2052, 2145, 2022, 2825, 2000, 8980, 2035, 1997, 1996, 2434, 2951, 2013, 1996, 3588, 3924, 1012, 5527, 2342, 2025, 2022, 1999, 1011, 23184, 1025, 2009, 2071, 2022, 21100, 8162, 11788, 1998, 20138, 2098, 2000, 2367, 2951, 2326, 11670, 1012, 1996, 10056, 3659, 2003, 2025, 2467, 20502, 3560, 1025, 5136, 1996, 2206, 23323, 1999, 1996, 3185, 3068, 1024, 1996, 3151, 4118, 2005, 1037, 3185, 2996, 2000, 2713, 1037, 4367, 3861, 2003, 2011, 8186, 7829, 2143, 18484, 2000, 3185, 13166, 1025, 2023, 2003, 1996, 2143, 3068, 2544, 1997, 1996, 13583, 2121, 5658, 1012, 2009, 2003, 2069, 1037, 3043, 1997, 2051, 2127, 1996, 2972, 4353, 2832, 4150, 3617, 1010, 2073, 1037, 3185, 2003, 18397, 11860, 1998, 8176, 2007, 1037, 3617, 2622, 2953, 1012, 1996, 5527, 3223, 2005, 1037, 4258, 1011, 3737, 4367, 3861, 2064, 8487, 2195, 28774, 21275, 4570, 1012, 2478, 1037, 2430, 8241, 2005, 6016, 4809, 2000, 2296, 3185, 4258, 1999, 1996, 2088, 2003, 5525, 2019, 1999, 12879, 8873, 23402, 3372, 2126, 1997, 2478, 2146, 1011, 14655, 4274, 20831, 1012, 2612, 1010, 1996, 14903, 1999, 2169, 4258, 2064, 2022, 10141, 1997, 2004, 14164, 1999, 1037, 2951, 8370, 1012, 2478, 1037, 3392, 19587, 1010, 1996, 2996, 2071, 4604, 4809, 1997, 1996, 5371, 2000, 1037, 2261, 4351, 4353, 2685, 1999, 2169, 2406, 2030, 2110, 1012, 4809, 2052, 2059, 2022, 2741, 2013, 1996, 4353, 2685, 2000, 1037, 2334, 4353, 2391, 1999, 2169, 2103, 1010, 1998, 2059, 7246, 2000, 2035, 12370, 2306, 1037, 2103, 1012, 1996, 21864, 17340, 5054, 20925, 8192, 2944, 2005, 1996, 5710, 8370, 2003, 5903, 22334, 1012, 2005, 6013, 1010, 2065, 2009, 3138, 2028, 8241, 1011, 13045, 2184, 2781, 2000, 10651, 2531, 1010, 2199, 2636, 1010, 2184, 14164, 2551, 2362, 1006, 1045, 1012, 1041, 1012, 1010, 1999, 1523, 5903, 1524, 1007, 2071, 22634, 2079, 1996, 2168, 3105, 1999, 2028, 3371, 1012, 1999, 3218, 1010, 1997, 2607, 1010, 1996, 2051, 3223, 2052, 2022, 5399, 2062, 2084, 1037, 3371, 2349, 2000, 8964, 1024, 1996, 1045, 1013, 1051, 4942, 6508, 13473, 2213, 2089, 3325, 11099, 2007, 2184, 14164, 2725, 17424, 14409, 1010, 2045, 2453, 2022, 2951, 12530, 15266, 1010, 1998, 2028, 13151, 2453, 2031, 2000, 3524, 2127, 2178, 2003, 2736, 1012, 6600, 1010, 5903, 6364, 2052, 5547, 1996, 2051, 3223, 2000, 4685, 1996, 2147, 1012, 1999, 2070, 3572, 1010, 2813, 1011, 5119, 2051, 2003, 1997, 3078, 5197, 1025, 2005, 6013, 1010, 1037, 4633, 12504, 2005, 19939, 2075, 3791, 2000, 2022, 2949, 2006, 1037, 15117, 1012, 2065, 2122, 16268, 2064, 2022, 14613, 2011, 11243, 2062, 17368, 2015, 1010, 2130, 2065, 1996, 17368, 2015, 15115, 2007, 2169, 2060, 1012, 1037, 2714, 8790, 12033, 2000, 12504, 1998, 4106, 5841, 1999, 3330, 7340, 1010, 12167, 2625, 12099, 1012, 2138, 1997, 1996, 4022, 10995, 1999, 7309, 2051, 1010, 2009, 2003, 8216, 2135, 7070, 2000, 2022, 2583, 2000, 2448, 5841, 2008, 2202, 2195, 17368, 2847, 1999, 1037, 2261, 2781, 1997, 5119, 2051, 1012, 2144, 2640, 2003, 2019, 2009, 25284, 2832, 1010, 25952, 1037, 28450, 2062, 2855, 2064, 1041, 16211, 2618, 2000, 3278, 10995, 1999, 3667, 1005, 2051, 1010, 4852, 15836, 1012, 1999, 1996, 2397, 12335, 1997, 1037, 2640, 5402, 1010, 11498, 12589, 3216, 1006, 1045, 1012, 1041, 1012, 1010, 2714, 3216, 2007, 3621, 2367, 2951, 1007, 2089, 2022, 4072, 1012, 2007, 1037, 3105, 2008, 3138, 2809, 2847, 2000, 2448, 2006, 2028, 17368, 1010, 1037, 2028, 1011, 17368, 2573, 12516, 2770, 2005, 2019, 2972, 3204, 2097, 10750, 2055, 2531, 2951, 2685, 1012, 2065, 2019, 9223, 28450, 2003, 3603, 1999, 1996, 2951, 2012, 1996, 2203, 1997, 2008, 3204, 1010, 1998, 1996, 2448, 3791, 2000, 2022, 5567, 1010, 1996, 2622, 7687, 17433, 2011, 1037, 3204, 1012, 2065, 1010, 2612, 1997, 2028, 17368, 1010, 2531, 17368, 2015, 2064, 2022, 4162, 2000, 1996, 2168, 3291, 1999, 1037, 8370, 4044, 1010, 2009, 2003, 2200, 3497, 2008, 1996, 22334, 2097, 2025, 2022, 2589, 2531, 2335, 5514, 1516, 3383, 2074, 2423, 2335, 5514, 1012, 2947, 1010, 1996, 8370, 2291, 2453, 10750, 2028, 2951, 2391, 2296, 2322, 2781, 1006, 2012, 2423, 3867, 8122, 1007, 1012, 7297, 1010, 2292, 2149, 7868, 2008, 1037, 8370, 2007, 1018, 1010, 2199, 14164, 2003, 2800, 1012, 1999, 2023, 2553, 1010, 2871, 5841, 2064, 2022, 3390, 1999, 5903, 1010, 1998, 6516, 1996, 2136, 2453, 2022, 2583, 2000, 8116, 1996, 2531, 2951, 2685, 1999, 2028, 3178, 1012, 1996, 15836, 13494, 1997, 2108, 2583, 2000, 2079, 1037, 3204, 1521, 1055, 2147, 1999, 2028, 3178, 2024, 25492, 2389, 1012, 2009, 2453, 2812, 21146, 6455, 1996, 2537, 2051, 1997, 1037, 1002, 2531, 2213, 3185, 2011, 1037, 2261, 3134, 1998, 1037, 2261, 2454, 6363, 2083, 1996, 2224, 1997, 5903, 14259, 5209, 1010, 2030, 1996, 3754, 2000, 2918, 2613, 1011, 2051, 16614, 2006 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1006, 1996, 14532, 1998, 1996, 6440, 1001, 1015, 1007, 2405, 1024, 2089, 5940, 2325, 1037, 7680, 13876, 8918, 1998, 8680, 3973, 2409, 2293, 2466, 4427, 2011, 1037, 4595, 1998, 2028, 6385, 2296, 6440, 7545, 5469, 2000, 1037, 2367, 2155, 1999, 1037, 2455, 5451, 2011, 1037, 6359, 1012, 21828, 1010, 1996, 7763, 1011, 2095, 1011, 2214, 22733, 1997, 23225, 1010, 3138, 1037, 2047, 8959, 2169, 2305, 2069, 2000, 2031, 2014, 6472, 2012, 13932, 1012, 2061, 2009, 2003, 1037, 10027, 4474, 2043, 7032, 1011, 2095, 1011, 2214, 7890, 24175, 2094, 7314, 2000, 5914, 21828, 1012, 2021, 2016, 2515, 2061, 2007, 1037, 12266, 2933, 2000, 2994, 4142, 1998, 6635, 7195, 2006, 1996, 22733, 2005, 1996, 4028, 1997, 2014, 2190, 2767, 1998, 14518, 2060, 3057, 1012, 21146, 5831, 1521, 1055, 15966, 1998, 2097, 1010, 5262, 1010, 2131, 2014, 2083, 2000, 1996, 6440, 2008, 2053, 2500, 2031, 2464, 1010, 2021, 2007, 1037, 4608, 1012, 1012, 1012, 2016, 1521, 1055, 4634, 1999, 2293, 2007, 1996, 2200, 2879, 2040, 2730, 2014, 6203, 4355, 2767, 1012, 2016, 9418, 2008, 1996, 25303, 2879, 1011, 2332, 2003, 2025, 2035, 2008, 2002, 3849, 1998, 4445, 2024, 1996, 6677, 1997, 2061, 2116, 3057, 1012, 21146, 5831, 2003, 4340, 2000, 26944, 1996, 3114, 2005, 1996, 9916, 1998, 2000, 3338, 1996, 5402, 2320, 1998, 2005, 2035, 1012, 2026, 5790, 1024, 1019, 1013, 1019, 1006, 5151, 1007, 6674, 1024, 1043, 1012, 1052, 1012, 20230, 1521, 1055, 4124, 2808, 2005, 2402, 8141, 6907, 1006, 1055, 1007, 1024, 5913, 1010, 7472, 1010, 2128, 23567, 2075, 1010, 2402, 4639, 3931, 4175, 1024, 4229, 2620, 7592, 999, 2009, 1521, 1055, 2042, 5091, 2144, 1045, 1521, 2310, 2428, 2589, 1037, 4276, 19927, 2695, 1517, 2023, 2627, 2733, 2038, 2074, 2042, 2033, 7834, 2428, 1010, 1998, 1045, 2514, 6659, 2005, 2008, 999, 2009, 1521, 1055, 2042, 2058, 1037, 2733, 2144, 1045, 2197, 6866, 1037, 3319, 1010, 1998, 2008, 2428, 3475, 1521, 1056, 2204, 1012, 2025, 2000, 5254, 1045, 2031, 2664, 2000, 2175, 2105, 2000, 1037, 2843, 1997, 2115, 23012, 1998, 7514, 2000, 2115, 7928, 1012, 1045, 1521, 1049, 3374, 1010, 4364, 999, 1045, 1521, 2310, 2428, 2042, 2667, 2000, 1010, 2021, 1045, 2074, 2123, 1521, 1056, 4025, 2000, 2031, 1996, 2051, 1010, 1998, 1045, 2031, 2053, 2801, 2129, 2477, 2074, 2288, 2061, 2041, 1997, 2192, 1012, 4312, 1010, 3531, 2907, 2115, 12668, 1998, 6386, 2005, 2085, 1010, 1045, 2428, 2572, 3565, 3374, 1012, 100, 4312, 1010, 24067, 1998, 12677, 4998, 1010, 2651, 1045, 2633, 2031, 1037, 3319, 1010, 2006, 1010, 2004, 2017, 2089, 2031, 11445, 1010, 1996, 14532, 1998, 1996, 6440, 2011, 17400, 6289, 10265, 2232, 1012, 2023, 1037, 4595, 1998, 2028, 6385, 2128, 23567, 2075, 2038, 2042, 3565, 1044, 18863, 2094, 2039, 2077, 1998, 2144, 2049, 2713, 1010, 2061, 1045, 2001, 3565, 7568, 2000, 2156, 2008, 2023, 2001, 1996, 4217, 2338, 2005, 1996, 2257, 3191, 1011, 2247, 4354, 2011, 12170, 16558, 3695, 24862, 7215, 1012, 2085, 1010, 1045, 1521, 1049, 2183, 2000, 2022, 3294, 7481, 2182, 1998, 2360, 2008, 2183, 2046, 2023, 2338, 1010, 1045, 6684, 2018, 2151, 2801, 2054, 1037, 4595, 1998, 2028, 6385, 2001, 2055, 1012, 1045, 1521, 1049, 2025, 2469, 3251, 1045, 1521, 1049, 4011, 2000, 2113, 2023, 8867, 22059, 2077, 3752, 2023, 2338, 1010, 2021, 1045, 2134, 1521, 1056, 1012, 2593, 2126, 1010, 2009, 2134, 1521, 1056, 7461, 1996, 3752, 3325, 1012, 2023, 2338, 2001, 6429, 1998, 1045, 2428, 3866, 2009, 1012, 1045, 6135, 3305, 1996, 1044, 18863, 1998, 2009, 2777, 2026, 10908, 1999, 1037, 3294, 9223, 2126, 1006, 2065, 2008, 3084, 2151, 3168, 1007, 999, 1996, 7763, 2095, 1011, 2214, 22733, 1997, 1047, 16892, 8791, 1010, 21828, 2003, 1037, 6359, 1012, 2296, 2305, 21828, 15867, 1037, 2047, 8959, 1010, 2069, 2000, 2031, 2014, 2730, 2004, 13932, 1012, 2009, 2035, 3310, 2004, 1037, 4474, 2043, 9191, 7890, 24175, 2094, 7314, 2000, 2022, 2010, 8959, 1012, 2021, 7890, 24175, 2094, 2003, 2062, 2084, 2054, 2016, 3849, 1010, 2004, 2014, 12266, 2568, 2003, 2275, 2006, 2893, 7195, 2006, 1996, 2158, 2040, 2730, 2014, 2190, 2767, 1998, 2061, 2116, 2500, 1012, 3291, 2003, 1010, 2016, 2453, 2074, 2022, 4634, 1999, 2293, 2007, 2032, 1529, 2021, 2129, 2071, 2016, 1010, 2043, 2002, 1521, 1055, 10003, 1010, 2051, 1998, 2051, 2153, 1010, 2000, 2022, 1037, 6359, 1029, 1523, 2028, 3634, 3268, 2005, 1996, 2028, 2017, 2165, 1012, 2028, 2166, 2000, 2028, 6440, 1012, 2323, 2017, 8246, 2021, 1037, 2309, 9587, 14287, 1010, 1045, 4618, 2202, 2013, 2017, 2115, 5544, 1012, 1045, 4618, 2202, 2013, 2017, 2115, 2103, 1012, 1998, 1045, 4618, 2202, 2013, 2017, 2122, 3268, 1010, 1037, 4595, 10371, 1012, 1524, 2066, 1045, 2056, 1010, 1045, 6684, 2018, 2151, 2801, 1997, 2054, 1037, 4595, 1998, 2028, 6385, 2003, 2055, 2183, 2046, 2023, 2338, 1012, 2008, 2134, 1521, 1056, 3043, 2138, 2023, 2001, 2107, 1037, 2878, 2047, 2088, 1010, 1037, 2367, 2051, 1010, 1037, 2367, 2406, 1012, 2469, 1010, 1996, 3097, 2455, 1998, 3415, 2020, 3621, 16801, 2012, 2034, 1010, 1006, 2045, 2003, 1037, 27068, 5649, 2012, 1996, 2203, 2295, 1010, 1998, 1045, 2288, 2109, 2000, 2009, 3492, 2855, 1007, 2021, 1996, 2088, 1010, 1996, 4292, 1010, 17400, 6289, 10265, 2232, 2580, 2001, 3432, 2061, 4310, 999, 2025, 2000, 5254, 1045, 7078, 3866, 1996, 2801, 1997, 1996, 2878, 2518, 1012, 3100, 1010, 2111, 2453, 2085, 2175, 1998, 2298, 2012, 2033, 2066, 1010, 1523, 19739, 12171, 12190, 1010, 2017, 1521, 2128, 3331, 2055, 1037, 2338, 2073, 1037, 2332, 8563, 1037, 8959, 2296, 6440, 1012, 4165, 2066, 27036, 10098, 2015, 1998, 21830, 2015, 1010, 1045, 1521, 1049, 2469, 999, 1524, 2021, 1045, 1521, 1049, 2025, 12489, 1012, 1045, 1521, 2310, 6684, 3191, 2151, 2338, 2066, 2009, 2077, 1010, 2061, 2009, 2001, 2035, 2200, 2047, 1998, 5875, 2000, 2033, 1012, 1998, 1045, 3866, 2008, 999, 2036, 1529, 1006, 16780, 1010, 1045, 1521, 1049, 2025, 2589, 2664, 1007, 2178, 2518, 1045, 2428, 3866, 2001, 2129, 5117, 1045, 2001, 1999, 1996, 2466, 1012, 2013, 1996, 2200, 2034, 3931, 1006, 2029, 2318, 2125, 2007, 2019, 23824, 18877, 1998, 2059, 2157, 2046, 1996, 2895, 1010, 9875, 2025, 1037, 11771, 4955, 1007, 1045, 2001, 13322, 1998, 1045, 2467, 2246, 2830, 2000, 4531, 2041, 2062, 1012, 1045, 2001, 2445, 9017, 1998, 4109, 1997, 2592, 1997, 1996, 3494, 1521, 2627, 2015, 1010, 2127, 1045, 2001, 2583, 2000, 3305, 2054, 2037, 2166, 2001, 2066, 1010, 2029, 2001, 5875, 1010, 2926, 1999, 1996, 2553, 1997, 7890, 24175, 2094, 1012, 1996, 5436, 2038, 2033, 23042, 1998, 1045, 9826, 2064, 1521, 1056, 3524, 2005, 1996, 2117, 2338, 1010, 1999, 2112, 2138, 1997, 1996, 4372, 4588, 2075, 1006, 2021, 25198, 1007, 7656, 18003, 2121, 2012, 1996, 2203, 2004, 2092, 2004, 1996, 2755, 2008, 1045, 2074, 2428, 2215, 2000, 2113, 2062, 2055, 1996, 3494, 1010, 1996, 2088, 1010, 1998, 2673, 1012, 1045, 2097, 2855, 5254, 2008, 1996, 4566, 2003, 2785, 1997, 1037, 3543, 2100, 3962, 1010, 2144, 2096, 1045, 4669, 2009, 1006, 1998, 2572, 3294, 5996, 2005, 1996, 2117, 2338, 1007, 2009, 2515, 2681, 2242, 4394, 2008, 1045, 2064, 1521, 1056, 3599, 2404, 2026, 4344, 2006, 1012, 2021, 1045, 2106, 2428, 2066, 2009, 1998, 2009, 2347, 1521, 1056, 1037, 2502, 2438, 3277, 2005, 2033, 2000, 18959, 1996, 2338, 1012, 1051, 11631, 1010, 1996, 3494, 999, 1045, 2071, 2175, 2006, 1998, 2006, 1010, 2000, 2022, 7481, 1012, 1045, 7078, 3866, 1996, 2364, 2839, 7890, 24175, 2094, 1010, 2034, 1997, 2035, 1012, 2028, 1997, 1996, 2364, 4436, 2003, 2138, 2016, 2001, 1037, 4959, 1517, 1998, 2062, 1997, 1996, 23626, 1998, 6047, 2084, 1996, 8186, 1011, 5926, 8569, 4779, 2785, 1997, 4959, 1010, 2065, 2017, 2113, 2054, 1045, 2812, 1012, 2017, 2064, 6655, 2008, 2016, 2097, 21100, 22345, 2017, 1999, 2471, 2151, 1997, 2115, 3488, 999, 1045, 3866, 2129, 2016, 2106, 2025, 3233, 2067, 1998, 3422, 21828, 3613, 2000, 3102, 14518, 2060, 2402, 3801, 1012, 2016, 2106, 2242, 2055, 2009, 1010, 1998, 2109, 2014, 15966, 1998, 6047, 2015, 2000, 2272, 2039, 2007, 1037, 2933, 2008, 2097, 2562, 2014, 4142, 2004, 2092, 1012, 2017, 2175, 1010, 2611, 999, 1045, 2097, 2444, 2000, 2156, 4826, 1521, 1055, 10434, 1012, 2191, 2053, 6707, 1012, 1045, 8415, 1045, 2097, 2444, 2000, 2156, 2004, 2116, 10434, 2015, 2004, 2009, 3138, 1012, 1998, 1045, 2097, 3102, 2017, 1012, 2007, 2026, 2219, 2398, 1012, 7890, 24175, 2094, 2001, 12266, 1010, 25591, 1010, 7782, 1998, 23197, 7481, 1010, 3061, 2039, 2005, 2841, 1999, 1037, 2051, 2073, 2009, 1521, 1055, 13191, 2000, 2079, 2061, 1006, 1999, 1037, 2200, 3019, 2126, 1010, 2453, 1045, 5587, 1007, 1012, 2129, 2071, 1045, 2025, 2293, 2014, 2839, 1029, 1998, 2059, 2017, 2404, 1999, 2014, 6370, 2007, 21828, 1010, 1998, 1996, 2755, 2008, 2348, 2045, 2003, 1037, 2293, 9546, 1010, 2016, 2106, 2025, 9015, 2013, 1996, 17076, 21756, 7459, 6799, 10563, 19817, 17635, 2061, 4141, 2179, 2122, 2420, 1012, 2029, 7545, 2149, 2000, 21828, 2370, 999, 6289, 1012, 2017, 2113, 1010, 1045, 2123, 1521, 1056, 2228, 2009, 1521, 1055, 2825, 2005, 3087, 2000, 3191, 2023, 2338, 2302, 4634, 1999, 2293, 2007, 2032, 1012, 2065, 2017, 1521, 2128, 2505, 2066, 2033, 1010, 2008, 2003, 1012, 2002, 1521, 1055, 3432, 6429, 1006, 2130, 2295, 2002, 1521, 1055, 10743, 1037, 3147, 18627, 6359, 1007, 1012, 1523, 2003, 2009, 2025, 15818, 2000, 2228, 2017, 10107, 2062, 1010, 21828, 7839, 2632, 1011, 22080, 1029, 1524, 1523, 2003, 2009, 2061, 15818, 2000, 2215, 2242, 2008, 2987, 1521, 1056, 2689, 2007, 1996, 3612, 1029, 2008, 2987, 1521, 1056, 13675, 26607, 2012, 1996, 2034, 3696, 1997, 4748, 14028, 3012, 1029, 1524, 1996, 2190, 2112, 2001, 3773, 2032, 2689, 2010, 7275, 1998, 8401, 7729, 1012, 2009, 3024, 2061, 2172, 2458, 2058, 1996, 2607, 1997, 1996, 2338, 1012, 1998, 1996, 2518, 2003, 1010, 2002, 2134, 1521, 1056, 2689, 2205, 3435, 1012, 2017, 2113, 2129, 1999, 2087, 2919, 1011, 3337, 1999, 2808, 1010, 2027, 3402, 1013, 3202, 2468, 2035, 2204, 1998, 4933, 2044, 3116, 2023, 2028, 2611, 1029, 21828, 2001, 2367, 1012, 1045, 2387, 2032, 2689, 3254, 1010, 3588, 1996, 2168, 2711, 2096, 5278, 2010, 7729, 2012, 1996, 2168, 2051, 1012, 2066, 2635, 2210, 3336, 4084, 1012, 10787, 1037, 2210, 2978, 1010, 4634, 2067, 1037, 2261, 4084, 1010, 2059, 10787, 2320, 2153, 1012, 1523, 2054, 2024, 2017, 2725, 2000, 2033, 1010, 2017, 11629, 1997, 1037, 2611, 1029, 1524, 2002, 3990, 1012, 1523, 2065, 1045, 1521, 1049, 1037, 11629, 1010, 2059, 2017, 2323, 2562, 2115, 3292, 1010, 4983, 2017, 2933, 2006, 2108, 3908, 1012, 1524, 1996, 4255, 2145, 1999, 2014, 10616, 1010, 2016, 7468, 2114, 2010, 3108, 1012, 1523, 2053, 1012, 1524, 2010, 2398, 3333, 2000, 2014, 5808, 1012, 1523, 6033, 2033, 1012, 1524, 2000, 7680, 2009, 2035, 2039, 1010, 21828, 2003, 3432, 1037, 10392, 3973, 1011, 2517, 2839, 2008, 1045, 2074, 2481, 1521, 1056, 2131, 2438, 1997, 1012, 2002, 2018, 2061, 2172, 5995, 2000, 2032, 1998, 9014, 2008, 1045, 2087, 5121, 2001, 2025, 8074, 1012, 2012, 1996, 2707, 2002, 2003, 6791, 2004, 1037, 2540, 3238, 13422, 1010, 2021, 2004, 2057, 2175, 2247, 2057, 2156, 1996, 2995, 2158, 7650, 1012, 4165, 18856, 17322, 1010, 2021, 2009, 1521, 1055, 1996, 2204, 2785, 1010, 1045, 2425, 2017, 1012, 2017, 2113, 2017, 5807, 1521, 1056, 2428, 2991, 2005, 2032, 1010, 2021, 2017, 2079, 4312, 2138, 2010, 2839, 2003, 27149, 1010, 1998, 3733, 2000, 25353, 8737, 25457, 4371, 2007, 1012, 1006, 2010, 2839, 2785, 1997, 6966, 2033, 1997, 2129, 1045, 2371, 2007, 1996, 2601, 2989, 2013, 1996, 24665, 24032, 2186, 1010, 2941, 1012, 1007, 2002, 1521, 1055, 2069, 7763, 1010, 2664, 2061, 9677, 1999, 2383, 2000, 4562, 1996, 3635, 1997, 2061, 2116, 11785, 1010, 1998, 1045, 2031, 2000, 2360, 2009, 3631, 2026, 2540, 3773, 2032, 2175, 2083, 2061, 2172, 1012, 1523, 2009, 1521, 1055, 1037, 11414, 7750, 2005, 1037, 6071, 1012, 2000, 2215, 2242, 2061, 2172, 1517, 2000, 2907, 2009, 1999, 2115, 2608, 1517, 1998, 2113, 3458, 1037, 4797, 2017, 2097, 2196, 10107, 2009, 1012, 1524, 1996, 2217, 3494, 2020, 2307, 2205, 1012, 1045, 2428, 4669, 14855, 13837, 1010, 1996, 7541, 2711, 2000, 21828, 1012, 2002, 2428, 2422, 6675, 2477, 2039, 1998, 2815, 1037, 2307, 2711, 2802, 1996, 3117, 1012, 21146, 5831, 1521, 1055, 2192, 28478, 2368, 1010, 4078, 26787, 1010, 2003, 2036, 2307, 1012, 2016, 2794, 2070, 5875, 21438, 1999, 1996, 2466, 1998, 2001, 2714, 2000, 21146, 5831, 1999, 2014, 3554, 1004, 2844, 16160, 1998, 2001, 1037, 2843, 1997, 4569, 2000, 2031, 2105, 1012, 2014, 25591, 10266, 2007, 7890, 24175, 2094, 2020, 2200, 14036, 1998, 1045, 3866, 2129, 2092, 1996, 2048, 3057, 2253, 2362, 1012, 1523, 2024, 2017, 1037, 2204, 8645, 1029, 1524, 1523, 1037, 2204 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 13158, 12569, 7636, 3744, 8034, 11902, 2290, 1024, 2115, 14751, 2338, 1010, 1037, 2540, 2000, 2655, 2188, 1010, 2038, 2074, 2272, 2041, 1012, 23156, 999, 4067, 2017, 1010, 13158, 1010, 1998, 4067, 2017, 2005, 5094, 2033, 2000, 2131, 1996, 2773, 2041, 1998, 11834, 2055, 2009, 2005, 1037, 2096, 1012, 2009, 1521, 1055, 2467, 4569, 2000, 5326, 1037, 2047, 2338, 1012, 1996, 2048, 21989, 1997, 1996, 2466, 1517, 7734, 1998, 10934, 1517, 2031, 1037, 2843, 1997, 7942, 2000, 2227, 1012, 2052, 2017, 2360, 3228, 2115, 3494, 3697, 2627, 2015, 2003, 1037, 25812, 1997, 2115, 3015, 1029, 2009, 3849, 2000, 2022, 1012, 2035, 1997, 1996, 3494, 1999, 2035, 2176, 1997, 2026, 2808, 2031, 2593, 2242, 3697, 2000, 3066, 2007, 2013, 1996, 2627, 2030, 2024, 7149, 2007, 2242, 3697, 1999, 1996, 2556, 1517, 2788, 2119, 1010, 2144, 4895, 6072, 16116, 3314, 2013, 1996, 2627, 2079, 4338, 2256, 2556, 1012, 2383, 2023, 2004, 1037, 25812, 1997, 2026, 3015, 1010, 2174, 1010, 3475, 1521, 1056, 2242, 1045, 2275, 2041, 2000, 2079, 1999, 5083, 1012, 2009, 1521, 1055, 2074, 2008, 2043, 3494, 2265, 2039, 1999, 2392, 1997, 2033, 1998, 2425, 2033, 2037, 3441, 2000, 4339, 1010, 2011, 1996, 2051, 1045, 1521, 1049, 2736, 1010, 2593, 2007, 1037, 2440, 2338, 2030, 2007, 1996, 6378, 2005, 2028, 1010, 2045, 2024, 2788, 7942, 1998, 20220, 2000, 3066, 2007, 1012, 2043, 7734, 1998, 10934, 1521, 1055, 2466, 2234, 2083, 1010, 2009, 2001, 5875, 2000, 2033, 2008, 1996, 10457, 29469, 2229, 2008, 2218, 2035, 1996, 7942, 2005, 2169, 1997, 2068, 2020, 2036, 2061, 7371, 5799, 2083, 1037, 4207, 13800, 5043, 1012, 2008, 2001, 1996, 5866, 7814, 1997, 1037, 2540, 2000, 2655, 2188, 1010, 1998, 1045, 2228, 2008, 7814, 1997, 1996, 2338, 2794, 1037, 2062, 10305, 2514, 2000, 7734, 1998, 10934, 1521, 1055, 4434, 2130, 2077, 2027, 2150, 10305, 1999, 1996, 5156, 3971, 1012, 2017, 2036, 11147, 5177, 7355, 1998, 1996, 4254, 2009, 2064, 2031, 2006, 2945, 1012, 2001, 2008, 2112, 1997, 7734, 1521, 1055, 3452, 2839, 2458, 2030, 2003, 2009, 2019, 3277, 2017, 2926, 2359, 2000, 8849, 1029, 1996, 4254, 7734, 1521, 1055, 2388, 1521, 1055, 5177, 7355, 2018, 2006, 2014, 1010, 2014, 5593, 1010, 1998, 2014, 2155, 2001, 1037, 2112, 1997, 2014, 2839, 2458, 2062, 2061, 2084, 2505, 2842, 1012, 2009, 3248, 1037, 2312, 2535, 1999, 2040, 7734, 2003, 1010, 2025, 2040, 2016, 9811, 2015, 2000, 2022, 1998, 1999, 1996, 2270, 7308, 2016, 11651, 1010, 2021, 2040, 2016, 2428, 2003, 2784, 2091, 1010, 1998, 2009, 1521, 1055, 6822, 2054, 3957, 2014, 1996, 18130, 2734, 1999, 2344, 2005, 10934, 2000, 2991, 1999, 2293, 2007, 2014, 1012, 1045, 1521, 2310, 2018, 2195, 2814, 1999, 2026, 2166, 2040, 2031, 2018, 3008, 2030, 2060, 2155, 2372, 2040, 2031, 2042, 11441, 2007, 23683, 1010, 1998, 1045, 2228, 2009, 2052, 2022, 1037, 10368, 5783, 2000, 2202, 2006, 1999, 1037, 2364, 2839, 1010, 2028, 1045, 2453, 8849, 13834, 1999, 2178, 2338, 1012, 2009, 2347, 1521, 1056, 1010, 2174, 1010, 2054, 1037, 2540, 2000, 2655, 2188, 2003, 2055, 1010, 2061, 1045, 2921, 2009, 1999, 1996, 10457, 7062, 1998, 2007, 1037, 3905, 2839, 1012, 2115, 2034, 2048, 2808, 2180, 2070, 3492, 2502, 2982, 1517, 1037, 2355, 2751, 2666, 2005, 2834, 3166, 1006, 16457, 1997, 1996, 2540, 1007, 1998, 1037, 2418, 10098, 2400, 2005, 3824, 7472, 1006, 23581, 1996, 6440, 1007, 1012, 2515, 2008, 2507, 2017, 7023, 2004, 2017, 4088, 2047, 3934, 1010, 2030, 2079, 2017, 2514, 2066, 2045, 1521, 1055, 1037, 2843, 2000, 2444, 2039, 2000, 1029, 2748, 999, 2119, 1012, 2023, 3160, 7545, 2039, 3243, 1037, 3816, 4524, 1997, 6699, 1012, 5121, 1010, 2026, 2034, 2048, 2808, 3045, 2982, 3640, 1037, 2002, 6199, 2100, 7023, 12992, 1999, 2151, 7634, 1012, 1045, 1521, 1049, 2200, 2172, 5204, 1010, 2241, 2006, 1996, 2116, 1010, 2116, 5151, 2808, 1045, 1521, 2310, 3191, 2008, 2196, 2180, 2019, 2400, 1010, 2008, 2982, 4995, 1521, 1056, 2673, 1010, 2021, 2027, 5791, 2514, 2204, 2043, 2017, 2131, 2068, 1012, 1996, 2751, 2666, 2005, 16457, 1997, 1996, 2540, 2234, 2004, 3243, 1037, 4474, 1010, 2144, 2008, 2338, 1999, 3327, 2288, 2125, 2000, 1037, 2978, 1997, 1037, 15311, 2707, 1010, 2349, 2000, 2054, 2057, 6936, 1999, 2115, 2034, 3160, 1012, 2026, 3494, 2079, 7166, 2000, 2031, 7942, 2000, 2227, 1010, 3251, 2009, 2022, 2013, 1996, 2627, 2030, 1999, 1996, 2556, 1012, 16457, 3475, 1521, 1056, 1037, 3151, 7472, 1010, 2021, 1037, 2147, 1997, 2236, 11690, 4349, 2008, 4076, 2093, 6062, 1999, 2536, 5711, 1997, 3276, 1010, 1998, 2045, 2003, 2028, 2839, 1999, 16457, 2040, 2347, 1521, 1056, 2200, 2759, 2007, 2070, 15814, 2349, 2000, 2014, 1998, 2014, 2146, 1011, 2744, 4256, 1521, 1055, 9163, 2083, 2019, 1999, 20740, 18605, 2466, 2240, 1012, 2061, 2043, 1996, 13527, 2005, 1996, 2834, 3166, 4696, 2020, 2623, 1998, 2059, 16457, 2180, 1010, 1045, 2001, 3492, 2004, 24826, 25848, 1012, 2005, 2033, 1010, 2295, 1010, 2009, 1521, 1055, 4994, 2013, 8141, 2055, 2129, 2026, 2808, 2191, 2068, 2514, 1998, 2129, 2027, 2020, 19209, 2011, 2068, 2008, 1521, 1055, 1996, 2613, 7023, 12508, 1012, 2045, 1521, 1055, 2498, 2066, 1996, 3110, 1045, 2131, 2043, 1037, 8068, 7009, 2000, 2033, 2030, 6010, 2033, 2012, 1037, 3034, 1998, 6661, 2008, 2242, 1045, 2626, 2081, 2068, 2228, 11543, 2030, 3271, 2068, 11005, 2242, 2306, 2068, 1010, 2030, 2074, 2081, 2068, 4756, 2041, 5189, 1012, 2216, 2024, 1996, 5312, 2008, 2428, 2191, 1037, 4489, 1012, 2004, 2005, 1996, 2117, 2112, 1997, 2115, 3160, 1024, 2748, 1010, 2383, 2180, 2982, 2005, 2026, 2034, 2048, 2808, 2064, 2823, 2191, 2033, 2514, 2004, 2295, 1045, 2031, 1037, 2843, 2000, 2444, 2039, 2000, 2007, 4745, 3441, 1010, 2065, 1045, 2292, 2870, 2175, 2045, 1012, 1045, 3046, 2025, 2000, 1010, 2295, 1012, 2028, 1997, 1996, 5221, 2477, 1045, 1521, 2310, 4342, 2004, 1037, 3213, 2061, 2521, 1517, 3262, 2013, 3015, 2026, 2353, 2338, 1010, 2046, 4857, 2250, 1517, 2003, 2008, 1045, 2031, 2000, 4339, 2054, 3310, 2083, 2033, 1012, 2004, 1037, 3213, 4426, 1010, 1045, 1521, 1049, 2469, 2017, 2113, 2008, 3110, 1997, 2054, 2466, 2003, 6737, 2000, 4339, 1010, 1998, 2130, 2043, 1045, 2113, 1037, 2466, 2003, 2183, 2000, 2022, 3697, 1998, 2453, 2025, 2022, 5319, 2011, 3071, 1010, 2009, 1521, 1055, 2145, 2026, 3105, 2000, 4339, 2009, 1012, 4209, 2008, 7126, 2033, 2994, 4208, 1010, 1998, 1045, 2064, 5293, 2055, 2151, 2969, 1011, 9770, 3778, 2055, 2009, 2108, 2066, 2030, 2004, 2204, 2004, 2151, 2060, 1012, 2064, 2017, 2425, 2149, 1037, 2210, 2978, 2055, 2115, 3015, 2832, 1029, 2003, 2009, 2467, 1996, 2168, 2030, 2079, 2017, 4666, 2009, 2039, 1029, 2009, 1521, 1055, 2788, 1996, 2168, 1012, 1045, 2471, 2467, 4339, 1999, 5537, 1012, 2011, 2008, 1045, 2812, 1045, 2707, 2012, 1996, 2927, 1998, 4339, 1996, 5019, 1999, 2344, 2004, 2027, 2272, 1999, 1996, 4129, 1997, 1996, 2466, 1012, 2296, 2320, 1999, 1037, 2146, 2096, 1037, 3496, 2453, 2272, 2000, 2033, 2041, 1997, 2344, 1010, 1998, 1045, 2097, 2202, 1996, 2051, 2000, 2175, 3805, 1998, 4339, 2008, 3496, 2065, 1010, 2005, 2070, 3114, 1010, 1045, 2228, 1045, 2453, 4558, 2242, 1997, 7784, 2065, 1045, 3524, 1010, 2021, 2788, 1045, 2064, 2907, 1996, 3496, 1999, 2026, 2132, 2127, 2009, 1521, 1055, 2051, 2005, 2009, 1012, 1045, 2572, 2467, 1037, 2210, 22741, 2043, 1045, 2831, 2000, 4898, 2040, 2360, 2027, 4339, 2035, 7957, 1997, 2367, 5019, 1998, 2059, 2404, 2068, 2362, 2046, 1037, 2338, 1012, 1996, 8210, 2245, 1997, 2008, 2058, 2860, 24546, 2015, 2033, 1998, 3084, 2026, 2132, 12336, 1012, 1045, 2572, 2036, 2566, 19386, 2098, 2011, 4898, 2040, 2360, 2027, 4339, 1996, 2878, 2034, 4433, 2077, 2027, 2175, 2067, 1998, 2079, 2151, 9260, 2012, 2035, 1012, 1045, 1521, 2310, 2699, 2000, 2079, 2008, 1010, 1998, 1045, 6719, 2064, 1521, 1056, 1012, 1996, 2087, 1045, 4025, 2000, 2022, 2583, 2000, 4339, 2302, 2183, 2067, 1998, 2725, 2151, 9260, 2003, 2055, 2702, 5530, 1012, 1996, 4408, 2217, 1997, 2008, 2003, 2008, 2011, 1996, 2051, 1045, 2572, 2736, 2007, 1996, 8356, 1010, 1045, 2123, 1521, 1056, 2424, 2008, 1045, 2031, 2000, 2079, 2172, 2128, 18560, 2077, 6016, 2009, 2000, 2026, 3559, 1012, 2085, 1010, 2320, 2026, 3559, 4152, 2009, 1010, 2008, 2453, 2022, 2019, 4498, 2367, 2466, 1046, 1012, 2129, 2515, 7780, 2718, 2017, 1029, 2079, 2017, 2272, 2039, 2007, 3494, 2034, 1010, 2030, 2003, 2009, 1037, 5436, 2030, 4292, 2008, 4152, 2017, 2183, 1029, 2788, 1010, 3494, 2097, 2265, 2039, 1999, 2026, 2568, 2034, 1998, 2059, 10838, 2000, 2425, 2033, 2037, 3441, 1012, 2035, 1997, 2026, 2147, 1010, 2130, 2460, 3441, 1010, 2003, 2839, 5533, 1010, 2061, 2009, 2069, 3084, 3168, 2008, 2027, 2052, 2191, 3209, 2124, 2077, 2505, 2842, 1012, 2045, 2031, 2042, 2335, 2008, 1037, 3496, 2097, 4607, 2046, 1996, 3988, 7780, 2030, 2458, 1997, 1037, 2338, 1012, 2005, 2742, 1010, 2007, 23581, 1996, 6440, 1010, 1996, 2200, 2034, 2518, 2008, 2234, 2000, 2033, 2001, 1037, 3496, 1996, 2851, 2044, 1037, 2028, 1011, 2305, 3233, 1999, 2029, 1996, 2048, 2308, 2040, 2031, 2074, 7771, 2362, 1998, 2933, 2000, 2196, 2156, 2028, 2178, 2153, 5382, 2008, 1996, 2365, 1997, 2028, 1997, 2068, 2003, 13516, 1996, 12286, 1997, 1996, 2060, 1996, 2200, 2279, 2154, 1012, 2008, 3496, 3092, 2039, 2108, 1996, 3098, 1997, 23581, 1996, 6440, 1010, 2130, 2295, 3322, 1010, 1045, 2018, 2053, 2592, 2055, 1996, 3494, 2030, 1996, 3452, 2466, 1012, 2045, 2001, 1037, 2839, 2008, 2001, 2525, 1999, 2026, 2568, 2008, 1045, 2359, 2000, 4339, 2008, 2001, 2200, 11853, 2241, 2006, 1037, 2450, 1045, 2018, 2777, 1010, 1998, 2008, 2839, 3092, 2039, 2108, 9743, 2595, 1012, 2061, 1999, 2008, 25652, 1010, 1996, 3452, 7780, 2001, 1037, 5257, 1997, 2048, 3787, 1012, 1996, 2801, 2005, 2046, 4857, 2250, 2234, 2028, 2154, 1999, 1996, 2433, 1997, 1037, 3160, 1024, 2054, 2052, 4148, 2065, 2619, 1521, 1055, 6513, 5419, 2028, 2154, 1998, 2058, 1996, 2607, 1997, 2051, 1998, 2559, 2005, 2014, 1010, 2016, 1998, 2014, 9955, 6513, 1521, 1055, 2190, 2767, 2991, 1999, 2293, 1010, 1998, 2059, 1996, 6513, 3310, 2067, 1029, 2008, 2466, 2801, 2150, 2130, 2062, 3375, 2043, 1045, 2018, 2000, 3275, 2041, 2339, 1996, 6513, 5419, 1998, 2073, 2016, 2001, 1010, 2021, 2788, 2320, 1045, 2031, 1996, 3988, 6534, 1997, 1037, 2466, 1010, 1996, 2717, 3310, 1012, 2017, 2405, 1037, 2307, 9927, 2006, 2115, 4037, 2197, 2281, 2170, 1523, 3149, 2075, 20677, 1012, 1524, 2017, 2066, 2078, 3015, 1517, 2030, 4526, 1999, 2236, 1517, 2000, 28586, 1012, 2129, 2038, 2008, 11449, 5044, 2115, 5541, 2832, 1029, 4067, 2017, 1010, 1045, 2572, 5580, 2017, 5632, 1996, 9927, 1012, 1045, 2572, 2025, 2469, 2008, 2009, 1521, 1055, 5044, 2026, 5541, 2832, 1010, 2138, 1045, 1521, 2310, 2467, 2371, 2008, 2119, 3441, 1998, 2336, 2272, 2083, 1996, 3213, 1013, 6687, 2004, 4941, 2000, 2108, 2580, 2011, 2068, 1012, 2054, 2008, 11449, 2038, 2042, 2062, 3278, 1999, 20300, 2003, 2129, 1045, 2514, 2055, 8141, 1521, 9597, 2000, 2026, 2808, 1012, 1999, 1996, 9927, 1045, 8849, 1996, 2801, 2008, 2026, 3105, 2004, 1037, 3213, 2003, 2000, 4339, 1996, 2466, 1010, 2059, 4604, 2009, 2041, 2046, 1996, 2088, 2000, 3543, 1998, 4254, 2049, 8141, 1999, 3649, 2126, 2009, 2003, 7882, 2000, 2068, 1012, 2009, 3475, 1521, 1056, 2026, 3105, 2000, 2377, 1037, 2112, 1999, 2008, 1012, 2008, 11449, 2038, 3039, 2033, 2000, 2488, 2292, 2175, 1997, 1037, 2466, 1998, 2025, 2202, 2054, 2619, 2453, 2228, 1997, 2009, 7714, 1012, 2065, 3087, 2052, 2066, 2000, 3191, 1996, 9927, 1010, 2017, 2064, 2424, 2009, 2006, 2026, 4037, 7479, 1012, 3744, 8034, 20414, 8004, 1012, 4012, 1012, 2054, 2024, 2017, 2551, 2006, 2085, 1029, 1045, 2572, 2551, 2006, 1037, 3824, 7472, 4709, 1037, 4299, 2588, 1037, 2732, 2008, 2003, 5115, 2005, 2713, 2013, 7782, 13692, 2808, 1999, 2285, 1997, 2023, 2095, 1012, 1996, 2466, 6401, 2105, 2048, 2308, 1010, 1997, 2607, 1010, 2040, 3113, 2043, 2028, 5829, 1999, 2279, 2341, 2000, 1996, 2060, 1012, 8886, 7638, 2038, 2333, 2067, 2000, 1996, 3050, 3349, 2181, 2073, 2016, 3473, 2039, 1999, 2344, 2000, 4019, 1996, 9145, 3279, 1997, 1996, 2210, 2879, 2016, 2018, 3271, 6687, 2144, 2010, 4182, 1012, 2043, 2010, 2388, 2187, 8886, 2005, 1037, 3276, 2007, 1037, 2158, 1010, 8886, 2001, 6380, 2035, 3967, 2007, 2014, 2365, 1012, 19295, 6201, 1998, 2014, 2698, 2095, 2214, 2684, 2040, 2038, 19465, 8674, 8761, 2024, 2014, 2047, 10638, 1998, 2191, 2009, 3697, 2005, 8886, 2000, 2562, 2014, 19076, 2000, 2196, 2131, 2920, 2007, 1037, 2450, 2040, 2038, 1037, 2775, 2153, 1012, 19295, 2038, 2014, 2219, 3276, 3314, 29217, 2013, 1996, 7670, 1997, 6274, 1037, 2569, 3791, 2775, 2894 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2023, 2003, 1996, 6421, 4103, 2275, 1997, 16310, 1999, 1996, 2751, 11233, 2534, 1997, 4476, 1012, 2023, 2930, 14730, 2256, 2862, 1997, 27427, 14194, 28313, 2641, 1000, 3405, 3324, 1012, 1000, 1996, 2279, 2930, 1010, 2927, 3155, 2093, 3134, 2013, 2085, 1010, 2097, 3579, 2006, 2217, 3549, 1004, 2500, 2040, 2081, 2037, 2928, 2006, 1996, 3068, 1012, 1996, 2197, 2930, 2097, 3444, 1996, 2307, 20602, 2040, 2031, 2517, 1996, 2087, 2327, 2184, 2774, 2090, 3982, 1004, 2889, 1012, 16012, 2015, 1997, 2035, 16310, 1998, 9181, 2005, 15946, 2064, 2022, 2179, 2006, 2256, 4037, 2011, 22042, 1996, 2751, 11233, 2534, 1997, 4476, 21628, 1012, 1037, 2770, 2862, 1997, 2035, 2623, 27427, 14194, 28313, 2097, 2022, 3205, 1010, 2036, 1012, 2122, 2036, 2064, 2022, 2179, 2104, 1000, 2307, 23012, 1997, 2543, 1000, 2012, 1996, 3953, 1997, 1996, 3931, 2030, 2011, 2206, 2023, 4957, 1011, 8299, 1024, 1013, 1013, 7479, 1012, 2751, 11233, 2863, 2290, 1012, 4012, 1013, 23012, 1013, 2751, 11233, 1011, 2534, 1011, 1997, 1011, 4476, 1011, 27427, 14194, 28313, 5354, 2487, 1012, 3533, 4027, 2023, 2394, 8032, 1013, 9066, 2038, 2589, 2009, 2035, 1010, 2013, 2108, 1037, 7196, 7156, 2000, 3405, 4556, 4042, 1012, 1999, 2090, 1010, 2002, 3266, 2000, 4070, 2005, 2195, 13432, 2718, 3895, 1998, 2716, 2067, 2019, 2201, 2440, 1997, 10002, 2013, 1996, 1005, 2871, 2015, 1012, 1998, 2002, 1005, 1055, 2042, 2061, 3144, 2012, 2009, 1010, 2008, 2002, 4832, 1999, 1996, 2327, 2753, 1003, 1997, 1996, 2035, 1011, 2051, 2201, 19041, 4969, 1012, 3533, 4027, 2718, 2009, 2157, 2125, 1996, 7151, 1010, 4577, 1037, 1001, 2322, 2718, 2006, 4908, 1005, 1055, 2327, 3263, 2201, 3673, 2007, 2010, 3245, 2834, 1010, 1000, 2298, 4629, 999, 1000, 1996, 2201, 2550, 1037, 4678, 1010, 2021, 2025, 4895, 26362, 1997, 14404, 1010, 2043, 1996, 3988, 2309, 1010, 1000, 2003, 2016, 2428, 2183, 2041, 2007, 2032, 1029, 1010, 1000, 24723, 2004, 2106, 1996, 2279, 2093, 2309, 14927, 1012, 2174, 1010, 2009, 2001, 2128, 1011, 2207, 1996, 2206, 2095, 1010, 3352, 1037, 4121, 3112, 1010, 8218, 1996, 1057, 1012, 1047, 1012, 3673, 2000, 1001, 2410, 1010, 1996, 4908, 2980, 2531, 2000, 1001, 2538, 1998, 1996, 3010, 6093, 2000, 1001, 1023, 1012, 2101, 2008, 2095, 1010, 1000, 2009, 1005, 1055, 2367, 2005, 3057, 1000, 2013, 1996, 3582, 1011, 2039, 6948, 1000, 1045, 1005, 1049, 1037, 2158, 1000, 3478, 2000, 7532, 1999, 2167, 2637, 1010, 2021, 29127, 2000, 1057, 1012, 1047, 1012, 1001, 1019, 1012, 1996, 6687, 6948, 1010, 2174, 1010, 2471, 5020, 2098, 1996, 1057, 1012, 1055, 1012, 3112, 1997, 1996, 2834, 1010, 8218, 2000, 1001, 2570, 1012, 2009, 2106, 2130, 2488, 1999, 2010, 10759, 1010, 4803, 2000, 1001, 2260, 1012, 1999, 3150, 1010, 1000, 3786, 4689, 1000, 3478, 2000, 3965, 1037, 2718, 1998, 1996, 6948, 26015, 5399, 1010, 7989, 2000, 3362, 1996, 2327, 2871, 2006, 2593, 2217, 1997, 1996, 4448, 1012, 2738, 2084, 2377, 2009, 3647, 1010, 4027, 1010, 2612, 1010, 2207, 1000, 3533, 4027, 1005, 1055, 5376, 2378, 1005, 10147, 3726, 1000, 2101, 2008, 2095, 1010, 3794, 4472, 1997, 10002, 2011, 1996, 7777, 1997, 3434, 5207, 1010, 9298, 2655, 21293, 2100, 1998, 3434, 9143, 1012, 2153, 1010, 2053, 4978, 6003, 1010, 2021, 1996, 6948, 2513, 4027, 2000, 1996, 3356, 14925, 16001, 2239, 1999, 1996, 1057, 1012, 1047, 1012, 1010, 13015, 2012, 1001, 2403, 1012, 2059, 1010, 1999, 3196, 1010, 2002, 2435, 2149, 2010, 5221, 6948, 1010, 1000, 2305, 1998, 2154, 1012, 1000, 2295, 1996, 2516, 2001, 1996, 2168, 2004, 5624, 8716, 1005, 1055, 4673, 4438, 1010, 2023, 2201, 2001, 2025, 1037, 9377, 1997, 1000, 5376, 2378, 1005, 10147, 3726, 1012, 1000, 2612, 1010, 2009, 17544, 2048, 2718, 3895, 1010, 1000, 3357, 8091, 1005, 2041, 1010, 1000, 2029, 2150, 2010, 5221, 2718, 1010, 4285, 1001, 1020, 1999, 2119, 1996, 1057, 1012, 1047, 1012, 1998, 1057, 1012, 1055, 1012, 1998, 1001, 1019, 1999, 2710, 1010, 1998, 1000, 4911, 2149, 1999, 2048, 1010, 1000, 1037, 11341, 3335, 1999, 1996, 1057, 1012, 1047, 1012, 1010, 2021, 1037, 1001, 2324, 2718, 1999, 1996, 1057, 1012, 1055, 1012, 1000, 2305, 1998, 2154, 1000, 2584, 1996, 2327, 1019, 2006, 1996, 6948, 6093, 1997, 1996, 1057, 1012, 1047, 1012, 1010, 1996, 1057, 1012, 1055, 1012, 1010, 1996, 4549, 1998, 2660, 1998, 2036, 2718, 1996, 2327, 2184, 1999, 2047, 3414, 1012, 1000, 2303, 1998, 3969, 1010, 1000, 2036, 11780, 2049, 2516, 2013, 1037, 4479, 1005, 1055, 4438, 1010, 1998, 2023, 6948, 2956, 1000, 2017, 2064, 1005, 1056, 2131, 2054, 2017, 2215, 1006, 6229, 2017, 2113, 2054, 2017, 2215, 1007, 1010, 1000, 2029, 6601, 2012, 1057, 1012, 1055, 1012, 1001, 2321, 1010, 2021, 6915, 6974, 1012, 1996, 2201, 1010, 2174, 1010, 2001, 1037, 3112, 1010, 7294, 1001, 1016, 1999, 1996, 4549, 1010, 1001, 1022, 1999, 2047, 3414, 1998, 1996, 2327, 2322, 1999, 1996, 1057, 1012, 1055, 1012, 1998, 1057, 1012, 1047, 1012, 2144, 1010, 2002, 2038, 2506, 6828, 1998, 8287, 6948, 2015, 1010, 2759, 1010, 2926, 1999, 1996, 4549, 1010, 2073, 2010, 2325, 2713, 1000, 3435, 2830, 1000, 6589, 2000, 1001, 2340, 1012, 3037, 1999, 4027, 1005, 1055, 2067, 12105, 3464, 2844, 1010, 1000, 9085, 2041, 1024, 1996, 2200, 2190, 1997, 3533, 4027, 1000, 8218, 2000, 1057, 1012, 1047, 1012, 1001, 1021, 1012, 1996, 2466, 1997, 2189, 1010, 1999, 3327, 2600, 2189, 1010, 2003, 24777, 2007, 2177, 2372, 7463, 2041, 2012, 2536, 5711, 1997, 1996, 2177, 1005, 1055, 2381, 1012, 2070, 12985, 2046, 24034, 1010, 2070, 27755, 2000, 5114, 1037, 5468, 1997, 3112, 1998, 4476, 1012, 4913, 2442, 18175, 7460, 2000, 1996, 3732, 2177, 1012, 7463, 2041, 1997, 12392, 2050, 2077, 1996, 3384, 7230, 2680, 2037, 2034, 2201, 1010, 2442, 18175, 1010, 2040, 2363, 4543, 6495, 2006, 2176, 1997, 1996, 2774, 2006, 2008, 6948, 1010, 6757, 2000, 2433, 2023, 3050, 3349, 1011, 2241, 7769, 2008, 2038, 2468, 2028, 1997, 1996, 2087, 3144, 3384, 2967, 1999, 2381, 1010, 5464, 1999, 1996, 2327, 2353, 1997, 2035, 4969, 2201, 19041, 1012, 6260, 2006, 2652, 2412, 5514, 1998, 2007, 2062, 8015, 1010, 13164, 3207, 2705, 2150, 1037, 2877, 2486, 1999, 3177, 3384, 1998, 27042, 3384, 1010, 2823, 8989, 3085, 11541, 1012, 2295, 2122, 6782, 5478, 4087, 6819, 5339, 19098, 17759, 1010, 13164, 3207, 2705, 2038, 4594, 1999, 8741, 1997, 1037, 24135, 2341, 1997, 2372, 1012, 4661, 1996, 2412, 1011, 20607, 10515, 2015, 1010, 13164, 3207, 2705, 2038, 5175, 1996, 5156, 15314, 2008, 2022, 13976, 2087, 2967, 1010, 3391, 2216, 1997, 1996, 3384, 6907, 1012, 2027, 2031, 2018, 1996, 26471, 1999, 22158, 1010, 9415, 6905, 1010, 6801, 8635, 1998, 4581, 1998, 2031, 2130, 2018, 2195, 14927, 7917, 2011, 8692, 1012, 2145, 1010, 13164, 3207, 2705, 2038, 4719, 2184, 2327, 2322, 4042, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2826, 1005, 1055, 1000, 18144, 2000, 14446, 1000, 2877, 1996, 2126, 2007, 1037, 4672, 1997, 1001, 1016, 2006, 4908, 1005, 1055, 2327, 3263, 2201, 3673, 1012, 2093, 2996, 4073, 2036, 2584, 1996, 1057, 1012, 1047, 1012, 2327, 2184, 1998, 1996, 2316, 2036, 2038, 2718, 1996, 2327, 2184, 1999, 2900, 1010, 2660, 1010, 4701, 1010, 5842, 1010, 6435, 1998, 2710, 1998, 1037, 2230, 3947, 1010, 1000, 1996, 2502, 1018, 2444, 2013, 8755, 1010, 8063, 1010, 1000, 2008, 4117, 13164, 3207, 2705, 4520, 2007, 12392, 2050, 1010, 14405, 13492, 2595, 1998, 20005, 1010, 9370, 1996, 6093, 2006, 2119, 3903, 1997, 1996, 4448, 1012, 2007, 2058, 2322, 2372, 1999, 2049, 2381, 1010, 2164, 2048, 2047, 2372, 2006, 1996, 3522, 2713, 1010, 1000, 1040, 27268, 7361, 2401, 1010, 1000, 10549, 1996, 27427, 14194, 28313, 2064, 2022, 3697, 1012, 2004, 2003, 2256, 7661, 1010, 1996, 27427, 14194, 28313, 2024, 1996, 2372, 2087, 3625, 2005, 13164, 3207, 2705, 1005, 1055, 2680, 6434, 1012, 2027, 2052, 2022, 2599, 8032, 1998, 5990, 2442, 18175, 1998, 2585, 15317, 10343, 2239, 1010, 3321, 1010, 1996, 10459, 3588, 2372, 2013, 1996, 2316, 1005, 1055, 2034, 6948, 1010, 12578, 18486, 1998, 3782, 22953, 4063, 6799, 1010, 2858, 1010, 1998, 4172, 2273, 4143, 1010, 5261, 2139, 19673, 2080, 1998, 13218, 5225, 2099, 1010, 3846, 1012, 2434, 2372, 5990, 3782, 3735, 1998, 7101, 11721, 2099, 5212, 3385, 1010, 2040, 2209, 2006, 1996, 2316, 1005, 1055, 2034, 2048, 6948, 2015, 1010, 2036, 2024, 27427, 14194, 28313, 2004, 2037, 5857, 3271, 13164, 3207, 2705, 5851, 1037, 2350, 1011, 3830, 3206, 1012, 1998, 2123, 1005, 1056, 5293, 10967, 23114, 4974, 999, 5043, 2135, 1010, 1000, 1040, 27268, 7361, 2401, 1000, 8184, 6573, 17623, 2125, 2014, 1001, 1015, 21836, 2006, 9733, 1005, 1055, 2862, 1997, 2190, 1011, 4855, 6948, 2015, 1012, 13164, 3207, 2705, 9372, 2006, 999, 5354, 2509, 1012, 8473, 23157, 1996, 14106, 2134, 1005, 1056, 6162, 2438, 2000, 7515, 2005, 1037, 3962, 1999, 1996, 2751, 11233, 2534, 1997, 4476, 1012, 23157, 2134, 1005, 1056, 6162, 2438, 2000, 7515, 1010, 2593, 1012, 2021, 1010, 2043, 2037, 10106, 2024, 2587, 1010, 1996, 3003, 1997, 2119, 4996, 1010, 8473, 23157, 1010, 24209, 11475, 14213, 1012, 1012, 1012, 2004, 2002, 2323, 1012, 1998, 2005, 2216, 9231, 2075, 2005, 1996, 15946, 1997, 2599, 3220, 6972, 14154, 23808, 5643, 1010, 2205, 1010, 2053, 3291, 1012, 2002, 2001, 2525, 8120, 2004, 2028, 1997, 1996, 2599, 5755, 2005, 1996, 5070, 13505, 2622, 1012, 4599, 1997, 1996, 14106, 3342, 2068, 2004, 1037, 2350, 2486, 1997, 1996, 2329, 5274, 1012, 1999, 2755, 1010, 2037, 21120, 2003, 2172, 3618, 2085, 2084, 2009, 2001, 1999, 1996, 1005, 20341, 1010, 4321, 2349, 2000, 2037, 2345, 2201, 1010, 1000, 24040, 11393, 2100, 1004, 14721, 1010, 1000, 2029, 1010, 2058, 1996, 2086, 1010, 2038, 4227, 5038, 2004, 2028, 1997, 1996, 3690, 1005, 1055, 5151, 10106, 1012, 2021, 2009, 2001, 2025, 2061, 2012, 1996, 2051, 1012, 1996, 2177, 1005, 1055, 2034, 2309, 1010, 3546, 1005, 1055, 1000, 2016, 1005, 1055, 2025, 2045, 1010, 1000, 2150, 2019, 7107, 15132, 1010, 4285, 1001, 1016, 2006, 1996, 4908, 2980, 2531, 1998, 2710, 2096, 22286, 1996, 5356, 8758, 3673, 1012, 1996, 2713, 2001, 2036, 1037, 2718, 1999, 2037, 10759, 1010, 4285, 1001, 2260, 1010, 1998, 1999, 2660, 2009, 2106, 2028, 3962, 2488, 1012, 2295, 2008, 2095, 1005, 1055, 1000, 2425, 2014, 2053, 1000, 6601, 2012, 1001, 1020, 1999, 1996, 1057, 1012, 1055, 1012, 1998, 2710, 1010, 2009, 2134, 1005, 1056, 2130, 2191, 1996, 2327, 2871, 1999, 3725, 1010, 1037, 6580, 2008, 2036, 2022, 23510, 1996, 2177, 1005, 1055, 3380, 3947, 1000, 2051, 1997, 1996, 2161, 1010, 1000, 2029, 2584, 1001, 1015, 1999, 5356, 8758, 1998, 2710, 1998, 1001, 1017, 1999, 4908, 1012, 2004, 2087, 2113, 1010, 2011, 2008, 2051, 1996, 2316, 2018, 4487, 11493, 2618, 22780, 2094, 1012, 2061, 1010, 1999, 1037, 2878, 1010, 2074, 2048, 4042, 2020, 2207, 1012, 1000, 1996, 14106, 4088, 2182, 1010, 1000, 2124, 2004, 3432, 1000, 1996, 14106, 1000, 1999, 2049, 1057, 1012, 1055, 1012, 2433, 1010, 2073, 2009, 2584, 1001, 4464, 1010, 1998, 2037, 4438, 1010, 2029, 6601, 2012, 2074, 1001, 5345, 1999, 1996, 2163, 2007, 2625, 4254, 6931, 1012, 23157, 1010, 1996, 9019, 1059, 4048, 2480, 3625, 2005, 1996, 3015, 1997, 2035, 2093, 2718, 3895, 1010, 2059, 2719, 1037, 2047, 2177, 1999, 2010, 2171, 1010, 1998, 23157, 6915, 2004, 2092, 1010, 15089, 2048, 6948, 2015, 2008, 2253, 7880, 1010, 2295, 1996, 3988, 3947, 4838, 2599, 3220, 18072, 21896, 1005, 1055, 1000, 16374, 1010, 1000, 2574, 2000, 2468, 1037, 2350, 2718, 2005, 2093, 3899, 2305, 1012, 2021, 23157, 4198, 2007, 2049, 2219, 15132, 1010, 3285, 1005, 1055, 1000, 2035, 2362, 2085, 1010, 1000, 2029, 4928, 2320, 2153, 1996, 2373, 1997, 1996, 2718, 2309, 1012, 1000, 2907, 2115, 2132, 2039, 1010, 1000, 4820, 2054, 9019, 6819, 5339, 19098, 6499, 6174, 5256, 2386, 2170, 1000, 1996, 4602, 5812, 3948, 2412, 1000, 1998, 22980, 2011, 2728, 8863, 2102, 2008, 10187, 3533, 2062, 7174, 1010, 2915, 2000, 1001, 1019, 2006, 2119, 3903, 1997, 1996, 4448, 1998, 1996, 6948, 2628, 1010, 4285, 1001, 2410, 1999, 1996, 1057, 1012, 1047, 1012, 1998, 1001, 2603, 1999, 1996, 1057, 1012, 1055, 1012, 1996, 2279, 6948, 1010, 1000, 1999, 2784, 1010, 1000, 2134, 1005, 1056, 13258, 2004, 2092, 1010, 2021, 1996, 2599, 2650, 1000, 2643, 2435, 2600, 1004, 4897, 2000, 2017, 1000, 2150, 1037, 2327, 2322, 2718, 1999, 1996, 1057, 1012, 1047, 1012, 2009, 2134, 1005, 1056, 7532, 1999, 1996, 1057, 1012, 1055, 1012, 2127, 2889, 2043, 1996, 2718, 3185, 1000, 3021, 1004, 6945, 1005, 1055, 22132, 2271, 4990, 1000, 2956, 2009, 2011, 3610, 1012, 2295, 1037, 2512, 1011, 6111, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2009, 2584, 1001, 1018, 1999, 1996, 1057, 1012, 1047, 1012, 5354, 2549, 1012, 10223, 13144, 2045, 2031, 2042, 2116, 2307, 6270, 9284, 2015, 1999, 1996, 2381, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1999, 3546, 1010, 5206, 5356, 2207, 1037, 3128, 2137, 1011, 11773, 4145, 2201, 1010, 1523, 8618, 4000, 1024, 18456, 1997, 1996, 2137, 2796, 1012, 1524, 1999, 2019, 9788, 2021, 2210, 1011, 2124, 2466, 1010, 5356, 4320, 15657, 1998, 25748, 2005, 4092, 2041, 2006, 6852, 1997, 3128, 2111, 1517, 1998, 2002, 4061, 2067, 1012, 1037, 2047, 4516, 10499, 2023, 3204, 2006, 13683, 1010, 1523, 5206, 5356, 1521, 1055, 8618, 4000, 1010, 1524, 4136, 1996, 2466, 1997, 1996, 6704, 1012, 2005, 1996, 2201, 1521, 1055, 12951, 5315, 1010, 2009, 2001, 2128, 1011, 2680, 2007, 5857, 2013, 5389, 2164, 19031, 19031, 3406, 12494, 3385, 1998, 10096, 23743, 5671, 1010, 1998, 1996, 4516, 2036, 11906, 1996, 2437, 1997, 1996, 2047, 2201, 1012, 9353, 7630, 3026, 3095, 4905, 4459, 21877, 10755, 1010, 3166, 1997, 1523, 1996, 2916, 1997, 6505, 1998, 6946, 1010, 1524, 2018, 1037, 3382, 2000, 3198, 3213, 1013, 2472, 9865, 5740, 1040, 1521, 2572, 12618, 20763, 2055, 1996, 2143, 1012, 2339, 2106, 2017, 2514, 2009, 2001, 2590, 2000, 2191, 2023, 2143, 1010, 1998, 2054, 2020, 2017, 5327, 2000, 14570, 1029, 2034, 1998, 16097, 1010, 1996, 2143, 1998, 1996, 2466, 2009, 4136, 9144, 2007, 1996, 2929, 2005, 2942, 2916, 1998, 1010, 2130, 2062, 6171, 1010, 2529, 2916, 1012, 2045, 2003, 1037, 11765, 1999, 2023, 2406, 2000, 2228, 2008, 2122, 5750, 2024, 1037, 2518, 1997, 1996, 2627, 1998, 1010, 2746, 2041, 1997, 1996, 4120, 1999, 3327, 1010, 2008, 2027, 2020, 5064, 8280, 1998, 10395, 2007, 3071, 2542, 11361, 2412, 2044, 1012, 1999, 2755, 1010, 1996, 4500, 2003, 2995, 1012, 2122, 5750, 2196, 13236, 1010, 1998, 2009, 1521, 1055, 2590, 2000, 2022, 6966, 2008, 2023, 2003, 5262, 1996, 2553, 1012, 1037, 5621, 3537, 2554, 5942, 6577, 1998, 2524, 2147, 1999, 7634, 2000, 12725, 2008, 2529, 1998, 2942, 2916, 2024, 5123, 1010, 2039, 18412, 2098, 1010, 1998, 2467, 4423, 1012, 1996, 2929, 2196, 4515, 1012, 2023, 2003, 2087, 2926, 2995, 2005, 3128, 2111, 1010, 2040, 2031, 2468, 4498, 8841, 2130, 2295, 2037, 3314, 1517, 5036, 2916, 1010, 12601, 1010, 4385, 1012, 1517, 3961, 10843, 2104, 6859, 1012, 1996, 2783, 4259, 2457, 1010, 2005, 2742, 1010, 2003, 2053, 2767, 1997, 3128, 2111, 1998, 2037, 5036, 2916, 1010, 2130, 2295, 5036, 2375, 2003, 2028, 1997, 1996, 2274, 6958, 2752, 1997, 1057, 1012, 1055, 1012, 2375, 1012, 2027, 2031, 3491, 1037, 19732, 1010, 1998, 3383, 2019, 9461, 2791, 1010, 2000, 2202, 2039, 3572, 2008, 23640, 5036, 4277, 1999, 2054, 8310, 2000, 6206, 2455, 13273, 1010, 1037, 2699, 1011, 1998, 1011, 2995, 3439, 19717, 2008, 1045, 7487, 1999, 1996, 2143, 1012, 2044, 2035, 1010, 2116, 5190, 1997, 4631, 1997, 3128, 2455, 1517, 1037, 11074, 2406, 1517, 2024, 2464, 2011, 2070, 2007, 1037, 13048, 3037, 1024, 4138, 2005, 14427, 1997, 3019, 4219, 1998, 4821, 2005, 2458, 1012, 5678, 1010, 2045, 2024, 1037, 2261, 2477, 1045, 5113, 2000, 6162, 2007, 2023, 2143, 1012, 1045, 2359, 2000, 3073, 2172, 1011, 2734, 21203, 4193, 1996, 3128, 24525, 2306, 1037, 3439, 1998, 3451, 6123, 1010, 2021, 1045, 2036, 2359, 2000, 3288, 2830, 1037, 3928, 5541, 3433, 2013, 1996, 2627, 2008, 2200, 2172, 8847, 2000, 2256, 2556, 1998, 2925, 1012, 5206, 5356, 1521, 1055, 3247, 2000, 2173, 2370, 2675, 2135, 1999, 1996, 2690, 1997, 1996, 10768, 2099, 15338, 2591, 2039, 20192, 10175, 2015, 1997, 1996, 2051, 2001, 2025, 2579, 8217, 1012, 5356, 26275, 2370, 1999, 1996, 3314, 4193, 1996, 3128, 2929, 2478, 1996, 22391, 14029, 1997, 2210, 1011, 2124, 12455, 9912, 2848, 2474, 2521, 3351, 1010, 2040, 2001, 1996, 2034, 3220, 2772, 2011, 14430, 3135, 2198, 11309, 2000, 3996, 2636, 1010, 2040, 2052, 3696, 3960, 7758, 2416, 2706, 2101, 1012, 2474, 2521, 3351, 1521, 1055, 2189, 3764, 3495, 2000, 1996, 2529, 4650, 1999, 1037, 2126, 1010, 2004, 5455, 3021, 4679, 2758, 1999, 1996, 2143, 1010, 2004, 1523, 2108, 3606, 3993, 1010, 1998, 3928, 1010, 1998, 13805, 1999, 1037, 2715, 2088, 1012, 1998, 5206, 5356, 3310, 1999, 1998, 3138, 2009, 1010, 1998, 3084, 2009, 4875, 1010, 1998, 2435, 2009, 4777, 1012, 1524, 2009, 1521, 1055, 1037, 14764, 2008, 2130, 2295, 1996, 3563, 4751, 1997, 2256, 3268, 2089, 2022, 2367, 1010, 2057, 2035, 3745, 2166, 1521, 1055, 12685, 1012, 2009, 1521, 1055, 1037, 5157, 2008, 2057, 2035, 5138, 2256, 5368, 2004, 4480, 1997, 1996, 2088, 1998, 5589, 1999, 2437, 2008, 2088, 2147, 2488, 2005, 3071, 1012, 2054, 12774, 5206, 5356, 2000, 2191, 1996, 2201, 1029, 2144, 1996, 2200, 2927, 1997, 2010, 2476, 1999, 4051, 1011, 3982, 1010, 5356, 2359, 2000, 2191, 1037, 4145, 2501, 4056, 2000, 1996, 5998, 1997, 3128, 2111, 1010, 2029, 1045, 8849, 1999, 2307, 6987, 1999, 2026, 2338, 1010, 1523, 1037, 12251, 1998, 1037, 2858, 1024, 5206, 5356, 1998, 1996, 2437, 1997, 8618, 4000, 1012, 1524, 2010, 2307, 14354, 3310, 3432, 2013, 2010, 2220, 2166, 3652, 2039, 2007, 3128, 2111, 1999, 6751, 1012, 2010, 2155, 1005, 1055, 6659, 5998, 2007, 5635, 1998, 29516, 2001, 19557, 3064, 1037, 2978, 4283, 2000, 1996, 2047, 3066, 2565, 1997, 25141, 24007, 1010, 2029, 3024, 1996, 5356, 2155, 1037, 5436, 1997, 2455, 2000, 2444, 2006, 1998, 3888, 1999, 18554, 4757, 5701, 25141, 24007, 2181, 1999, 5900, 2221, 1010, 6751, 1012, 5356, 2387, 1996, 18704, 5688, 2000, 2054, 2010, 2155, 2001, 2583, 2000, 3325, 1998, 2008, 1997, 1996, 3128, 2111, 2105, 2032, 1010, 2040, 2020, 2542, 1999, 2379, 5490, 8787, 2953, 1998, 4078, 3775, 8525, 3508, 1517, 4283, 1999, 2312, 2112, 2000, 1996, 4945, 1997, 1996, 1057, 1012, 1055, 1012, 2231, 2000, 3932, 16013, 1012, 2036, 1010, 2005, 1037, 2146, 2558, 2002, 13115, 2370, 2061, 4876, 2000, 3128, 2111, 2008, 2002, 2411, 3555, 2000, 2022, 3128, 1010, 2029, 2002, 2347, 1521, 1056, 1998, 25416, 12926, 2172, 2101, 1999, 2010, 2166, 1012, 2009, 2428, 2234, 2091, 2000, 1037, 3154, 1010, 3937, 25951, 2005, 5356, 1024, 2065, 2151, 2177, 1997, 2111, 2227, 21321, 1998, 2024, 6380, 2037, 2916, 1010, 2059, 2045, 2003, 2053, 4071, 2030, 3425, 2005, 2151, 1997, 2149, 1012, 1999, 1996, 3661, 1010, 5356, 2081, 2009, 3154, 1024, 1523, 1045, 2052, 6170, 2062, 1997, 2023, 2455, 2021, 2035, 1997, 2643, 1521, 1055, 2336, 7110, 1521, 1056, 2489, 1012, 1524, 2054, 2001, 1996, 6698, 1997, 1996, 5012, 2000, 1996, 2201, 2043, 2009, 2001, 2207, 1029, 2020, 2151, 3703, 2652, 2009, 1029, 2023, 2001, 3546, 1012, 1996, 2406, 2001, 2317, 2980, 2007, 16591, 1012, 1996, 23430, 4883, 2602, 2001, 29308, 1998, 3561, 2007, 2411, 11113, 20936, 22966, 1010, 4795, 17871, 1012, 2005, 2742, 1010, 5334, 12411, 1012, 6287, 2751, 5880, 1010, 1996, 3951, 4018, 1010, 3764, 10132, 1997, 4297, 15402, 4517, 2162, 2043, 2002, 10116, 1010, 1523, 2292, 1005, 1055, 8840, 2497, 2028, 2046, 1996, 2273, 1005, 1055, 2282, 2012, 1996, 1047, 28578, 4115, 1012, 1524, 2002, 2036, 6118, 4941, 2942, 2916, 1010, 27644, 1010, 1523, 4654, 7913, 26725, 1999, 1996, 3639, 1997, 7044, 2003, 2053, 3580, 1012, 1998, 5549, 8156, 1999, 1996, 8463, 1997, 3425, 2003, 2053, 11870, 1012, 1524, 2023, 25312, 18533, 2576, 4044, 3561, 1996, 3237, 19796, 2012, 5356, 1521, 1055, 3830, 1998, 4730, 27612, 1997, 2116, 2557, 3703, 2007, 3571, 1012, 2096, 3996, 8686, 1996, 3206, 2000, 2911, 1037, 10124, 3815, 1997, 2636, 2005, 5096, 1010, 2027, 12543, 1037, 2828, 1997, 1523, 3730, 15657, 1524, 2073, 2027, 2106, 2053, 4712, 1998, 2074, 6439, 2049, 4598, 1012, 1998, 1997, 2607, 1010, 2116, 2557, 3703, 2074, 4188, 2000, 2377, 2009, 1012, 2043, 5356, 4342, 1997, 2035, 1996, 4559, 1010, 2002, 2081, 2009, 2010, 3260, 2000, 2131, 1996, 2501, 2041, 2045, 1012, 2002, 4149, 2067, 5190, 1997, 4809, 1997, 1996, 2501, 1010, 17430, 1037, 6186, 3661, 2008, 2002, 2872, 2004, 2019, 4748, 1999, 1523, 4908, 1524, 2932, 1010, 11812, 1996, 3661, 2503, 2169, 2501, 1010, 1998, 6158, 2105, 1996, 2406, 2192, 12771, 1996, 2501, 2000, 2557, 3703, 1998, 4851, 2068, 2000, 2507, 2009, 1037, 3382, 1012, 1037, 2240, 2013, 1996, 3098, 20423, 2013, 1996, 3661, 2758, 2009, 2035, 1024, 1523, 23837, 1010, 2276, 10489, 1010, 5608, 1010, 4385, 1012, 1010, 2073, 2024, 2115, 18453, 1029, 1524, 6302, 4923, 1024, 2013, 9865, 5740, 1040, 1521, 2572, 12618, 20763, 1521, 1055, 2143, 1010, 5206, 5356, 1521, 1055, 8618, 4000, 2054, 2001, 2369, 1996, 2501, 2194, 1521, 1055, 4506, 1029, 2106, 2027, 2030, 1996, 2557, 2276, 5608, 2412, 4863, 3209, 1029, 3996, 2636, 2074, 2359, 1996, 4978, 2000, 2562, 2746, 1012, 1999, 3699, 1010, 5356, 2018, 5294, 4978, 2007, 1523, 1045, 3328, 1996, 2240, 1524, 1998, 1523, 3614, 1997, 2543, 1012, 1524, 2027, 2387, 5356, 1521, 1055, 4740, 2012, 4145, 2636, 2004, 2769, 23160, 1010, 2130, 15784, 23296, 27416, 2271, 27427, 5313, 17905, 2015, 2130, 2295, 1996, 3830, 5763, 5356, 2008, 2043, 2002, 2587, 3996, 2008, 2002, 2071, 8849, 1996, 12479, 5633, 2002, 2001, 8534, 2013, 5155, 2096, 2012, 3103, 2636, 1012, 2009, 2001, 2023, 4872, 2008, 3039, 2068, 2000, 3696, 2032, 1999, 1996, 2034, 2173, 1012, 1998, 2247, 1996, 2126, 1010, 5356, 16193, 4145, 2636, 2086, 2077, 1996, 11555, 2288, 1996, 4923, 1012, 2004, 5455, 3889, 23888, 7607, 1999, 1996, 2143, 1010, 1523, 1045, 2196, 2134, 1521, 1056, 2113, 2040, 5206, 5356, 2001, 1010, 2021, 1045, 2134, 1521, 1056, 5382, 2127, 1045, 2001, 4961, 2008, 5206, 5356, 2001, 2437, 4145, 4042, 2066, 2321, 2086, 2077, 1996, 11555, 2412, 2245, 2055, 2009, 1012, 1524, 2044, 1996, 5294, 4978, 1997, 3699, 1010, 1996, 3830, 2071, 2053, 2936, 13498, 5356, 1521, 1055, 4073, 2000, 2633, 2501, 1037, 3128, 4145, 2501, 11539, 4498, 1997, 5154, 6186, 2774, 1012, 2023, 2001, 7687, 1037, 5476, 1999, 1996, 2437, 2005, 5356, 1010, 1998, 2002, 8542, 2035, 1997, 2370, 2046, 2009, 1010, 9990, 1024, 1523, 1045, 10855, 2046, 3078, 1998, 3905, 4216, 1010, 10047, 16862, 2075, 2870, 1999, 1996, 13800, 3441, 1997, 1996, 13796, 1998, 1996, 15895, 1010, 2426, 2500, 1010, 2127, 1045, 2001, 2471, 2004, 6315, 2004, 2848, 1012, 2011, 1996, 2051, 1045, 2941, 2680, 1996, 2201, 1045, 3344, 1037, 3082, 7170, 1997, 12039, 1998, 19006, 1012, 1524, 1998, 2008, 19006, 2069, 3473, 2043, 2002, 4342, 2008, 2557, 3703, 2408, 1996, 2406, 4188, 2000, 2377, 1996, 2501, 1012, 2153, 1010, 2023, 2001, 1996, 4578, 1997, 1996, 2942, 2916, 2929, 1998, 2116, 1999, 1996, 2501, 3068, 1010, 3391, 1999, 1996, 2148, 1998, 13608, 1010, 2481, 1521, 1056, 5138, 5356, 5815, 2010, 2376, 2000, 1996, 6186, 1012, 2070, 2371, 2002, 2001, 2522, 1011, 12132, 2011, 1996, 4794, 4314, 9414, 8464, 1010, 2500, 2011, 1996, 2187, 1011, 6729, 5154, 2929, 1010, 1998, 2500, 2074, 2134, 1521, 1056, 2066, 1996, 2189, 1998, 2049, 4323, 1997, 3128, 3314, 1010, 1037, 2111, 2027, 8357, 2000, 2022, 2896, 2084, 2304, 2111, 1012, 2000, 2054, 6698, 2001, 5206, 5356, 1005, 1055, 2476, 3480, 2011, 1996, 2201, 1029, 2009, 2001, 3816, 1012, 2006, 1037, 3167, 2504, 1010, 2002, 2001, 19248, 9364, 2011, 1996, 4559, 2000, 1996, 2501, 1012, 2009, 1521, 1055, 2028, 1997, 1996, 4436, 2008, 2002, 2467, 2209, 1037, 2261, 1997, 1996, 2774, 2013, 1996, 2501, 2012, 2296, 4164, 1996, 2717, 1997, 2010, 2166, 1012, 2009, 2001, 5356, 1521, 1055, 7552, 6186, 1012, 2006, 1037, 5541, 2504, 1010, 1996, 3830, 2081, 2009, 2200, 3697, 2005, 2032, 2000, 2412, 16617, 1037, 2501, 1997, 2023, 2785, 2153, 1517, 2130, 2295, 2002, 3631, 2041, 2007, 2010, 2444, 2201, 1523, 2012, 1042, 27896, 5358, 3827, 1524, 2176, 2086, 2101, 1999, 3380, 1010, 2029, 2001, 1996, 2095, 2008, 1996, 2137, 2796, 2929, 2001, 2141, 1012, 2021, 2009, 2001, 2025, 2019, 2972, 2501, 2218, 2362, 2011, 1037, 4323, 1998, 1037, 7984, 1010, 2007, 2296, 2299, 4056, 2000, 1037, 3563, 2591, 3425, 3277, 1012, 7687, 1010, 1523, 8618, 4000, 1524, 2052, 2022, 1996, 2197, 2501, 1997, 2008, 2785, 5356, 2052, 2412, 2079, 1012, 2664, 1010, 2023, 2501, 3936, 1996, 2995, 8424, 1997, 2019, 3063, 3241, 2041, 5189, 1998, 4129, 16267, 2613, 3441, 2008, 12308, 1996, 2126, 2005, 5356, 2000, 2079, 2060, 6186, 2774, 2107, 2004, 1523, 2158, 1999, 2304, 1524, 2086, 2101, 1012, 5356, 4188, 2000, 18094, 2054, 2002, 8357, 2004, 1037, 16592, 2135, 8292, 29577, 2075, 1998, 16081, 2075, 1997, 2010, 2147, 1012, 1999, 2010, 4908, 4748, 1010, 2002, 14964, 1996, 2309, 2013, 1996, 2201, 1010, 1037, 5154, 11571, 2517, 2055, 1996, 3128, 1057, 1012, 1055, 1012, 3884, 11209, 10192, 12147, 3550, 1999, 1996, 1045, 12155, 3958, 2050, 5210, 1011, 6274, 9982, 1012, 5356, 2626, 1010, 1523, 1520, 11571, 1997, 11209, 10192, 1521, 2003, 2844, 4200, 1012, 2061, 2003, 10541, 1517, 14864, 1517, 6484, 1998, 5148, 1012, 1012, 1012, 1045, 2018, 2000, 2954, 2067, 1012, 1524, 2002, 2387, 2009, 2004, 2028, 2929, 1024, 2529, 2916, 1012, 9508, 10087, 5356, 2409, 2033, 2023, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 2897, 1997, 4259, 15727, 4896, 1997, 7327, 4018, 1998, 4022, 4018, 3032, 1998, 1996, 2647, 2457, 1997, 20964, 2015, 1006, 2897, 1007, 4453, 2067, 1999, 2249, 2012, 2037, 3116, 1999, 9960, 2008, 1037, 2691, 9470, 2001, 1523, 4852, 1996, 4254, 1997, 18952, 2015, 1524, 1010, 3391, 1999, 2522, 1011, 3169, 2007, 1996, 2120, 3323, 2015, 1012, 2023, 2001, 2582, 11763, 1999, 2281, 2286, 2043, 1996, 18952, 1997, 13018, 4354, 1037, 2897, 3034, 2006, 1996, 4262, 2090, 18952, 2015, 1998, 3323, 2015, 1010, 2012, 2029, 1037, 3247, 2001, 2579, 2000, 4503, 1037, 8606, 3259, 1012, 13201, 3530, 2000, 6509, 1996, 2897, 1999, 4975, 1996, 8606, 3259, 1996, 2364, 3800, 1997, 2023, 8606, 3259, 2003, 2000, 3073, 2019, 19184, 1997, 6078, 4846, 2306, 7327, 1998, 2897, 3032, 2005, 4975, 6550, 2090, 18952, 2015, 1998, 3323, 5059, 2041, 1996, 3145, 5876, 2008, 2490, 4621, 6550, 1010, 12151, 4973, 1997, 2204, 3218, 1999, 4975, 1998, 6605, 4621, 6550, 2007, 3323, 1010, 1998, 5094, 1999, 12151, 6695, 2005, 16003, 2030, 9229, 1996, 20271, 15189, 2551, 3276, 2007, 3323, 2015, 1012, 1996, 3452, 3125, 2003, 2393, 3113, 1996, 7863, 1997, 4852, 1996, 4254, 1997, 18952, 2015, 1012, 2000, 3073, 1996, 2897, 2007, 4784, 1998, 7300, 2000, 11598, 2037, 8147, 2007, 2037, 7972, 3323, 2015, 2004, 2027, 3613, 2000, 3857, 2037, 3977, 2000, 8116, 15727, 2015, 2007, 4852, 4254, 1012, 3225, 2391, 2030, 3653, 8663, 20562, 1024, 2981, 18952, 2015, 2551, 2429, 2000, 2248, 4781, 3579, 6924, 2006, 2028, 7814, 1997, 1996, 3276, 2090, 18952, 2015, 1998, 3323, 2015, 1010, 7149, 2007, 1996, 2147, 1998, 4311, 1997, 18952, 2015, 1010, 2000, 3623, 4254, 1998, 5335, 1996, 2224, 1997, 2270, 4219, 2025, 2559, 2012, 2477, 2066, 1996, 6226, 1997, 1996, 18952, 5166, 2030, 1996, 6098, 1997, 3026, 2968, 1037, 8050, 5783, 1999, 4975, 1996, 3259, 1996, 6742, 6322, 1997, 1996, 18952, 2015, 2087, 6022, 2057, 12543, 1037, 5002, 1997, 18952, 2015, 2408, 7327, 1998, 2897, 2006, 2129, 2027, 8526, 2007, 3323, 1010, 1998, 2129, 2037, 7972, 3323, 2015, 2224, 2037, 2147, 3943, 2041, 4029, 5838, 2057, 2036, 8920, 7271, 2800, 2592, 1998, 3906, 11744, 1997, 18952, 2015, 1998, 3323, 2470, 4981, 1998, 5491, 2008, 2042, 4810, 2006, 1996, 8476, 1997, 18952, 1998, 3323, 4262, 2641, 1996, 3451, 1010, 3423, 1998, 2576, 7705, 1998, 2060, 6123, 8787, 5876, 2008, 2104, 8091, 2122, 6550, 8920, 4781, 1998, 6481, 2008, 2024, 1999, 2173, 2005, 18952, 2015, 1998, 3323, 26354, 4886, 6481, 1997, 2270, 3447, 21877, 7011, 2270, 20700, 2019, 3361, 17842, 2000, 6709, 10908, 2005, 18952, 2015, 1998, 3323, 2015, 1999, 3408, 1997, 2045, 3276, 2641, 2129, 1996, 6742, 6322, 1999, 1996, 12876, 18952, 2015, 3113, 1996, 10908, 5026, 2035, 2023, 2362, 2000, 4503, 1996, 3259, 2029, 5577, 1996, 10908, 2005, 2119, 18952, 2015, 1998, 3323, 2015, 2241, 2006, 4781, 6481, 2470, 1996, 5876, 2008, 4254, 2006, 2129, 2216, 10908, 2024, 2777, 6543, 1010, 2576, 1010, 3423, 1998, 5502, 2389, 7778, 2592, 2006, 2129, 18952, 2015, 8526, 2007, 3323, 7316, 6078, 5069, 1997, 9528, 1998, 2837, 6078, 1006, 19153, 1010, 9680, 6442, 26744, 1007, 16478, 1996, 2783, 6550, 1999, 1996, 18952, 2015, 12876, 2000, 4009, 2041, 2204, 2030, 9525, 6078, 2029, 3113, 1996, 10908, 2275, 2041, 1996, 2536, 4781, 1998, 6481, 4453, 1998, 2036, 3640, 2054, 2071, 2022, 2649, 2004, 1037, 6994, 23615, 1997, 2204, 6078, 1010, 5799, 2000, 1996, 2536, 4781, 1010, 2005, 18952, 2015, 1998, 3323, 2015, 2000, 8849, 2043, 2027, 2024, 2559, 2000, 11598, 1996, 12353, 1997, 2037, 6550, 1012, 10908, 2005, 18952, 1999, 2458, 6550, 2007, 3323, 1012, 1996, 26354, 15593, 2247, 2007, 2060, 4781, 1998, 6481, 3073, 1037, 7705, 1998, 8606, 2055, 2054, 18952, 2015, 2323, 2030, 2071, 5136, 2043, 20302, 7274, 2075, 1996, 12020, 2005, 4526, 1998, 20226, 4254, 1010, 1998, 2043, 11973, 2007, 3323, 1012, 1996, 26354, 15593, 2275, 2152, 10908, 2006, 18952, 2015, 7175, 1996, 2126, 2027, 3189, 2000, 3323, 2015, 2055, 2037, 15727, 2147, 1998, 1996, 4073, 2027, 2342, 2000, 16617, 2000, 6509, 2372, 1997, 3323, 2000, 3305, 1998, 2224, 15727, 4311, 1010, 1998, 8526, 2007, 2037, 3323, 1012, 7316, 3154, 2013, 1996, 4781, 2008, 7316, 2000, 3323, 1516, 1996, 3192, 1997, 1996, 3276, 2007, 3323, 1996, 2157, 1998, 14987, 2005, 18952, 2015, 2000, 3189, 2000, 3323, 2012, 2560, 6604, 2023, 3216, 2802, 1996, 26354, 4886, 1010, 4903, 2050, 1998, 21877, 7011, 4807, 1996, 4781, 2085, 2191, 2009, 3154, 2008, 2651, 1996, 5337, 12339, 1997, 4311, 2003, 2025, 7182, 2005, 27295, 11706, 3582, 1011, 2039, 1998, 2895, 1010, 1998, 2005, 12725, 2008, 2045, 2147, 2038, 4254, 1010, 1998, 2008, 2045, 2024, 3618, 10908, 2006, 18952, 2015, 2000, 4503, 6550, 2007, 3323, 2015, 1012, 10908, 2008, 18952, 2015, 2323, 10639, 1999, 1037, 5450, 2008, 1024, 7457, 3323, 2015, 1998, 2060, 22859, 1521, 3716, 1998, 4824, 1997, 1996, 2535, 1998, 10198, 1997, 1996, 18952, 2004, 2019, 2981, 20964, 1997, 1996, 2270, 4753, 1012, 16605, 2000, 3323, 2015, 1998, 2060, 22859, 1521, 7073, 1997, 1996, 2342, 2005, 16987, 1998, 17842, 1999, 1996, 2270, 4753, 1012, 21312, 4824, 1997, 1996, 18952, 1521, 1055, 15727, 2147, 1998, 3463, 1012, 3582, 2039, 10908, 2024, 2036, 2275, 2005, 18952, 2015, 2802, 1996, 26354, 15593, 4953, 3582, 2039, 2006, 2037, 9420, 1998, 9556, 2021, 2036, 2006, 2206, 2039, 11433, 2081, 2011, 1996, 3323, 1010, 2028, 1997, 2049, 13239, 1010, 2030, 1996, 15727, 4402, 1521, 1055, 8677, 2604, 1012, 7316, 2836, 10908, 2105, 20077, 1998, 7316, 2006, 18952, 2015, 2219, 2836, 1012, 2027, 2507, 1996, 17626, 2008, 1996, 18952, 2097, 3189, 2006, 2037, 2836, 2000, 3323, 1998, 2060, 22859, 1010, 2164, 2037, 3361, 8635, 1010, 2008, 2122, 4311, 2097, 2022, 3395, 2000, 6327, 15727, 2030, 17423, 1010, 1996, 13105, 1997, 2029, 2024, 2036, 2988, 2000, 22859, 1012, 1996, 10908, 2275, 2083, 1996, 26354, 15593, 1998, 2060, 6481, 2024, 2152, 1010, 1998, 2024, 2054, 2017, 2052, 5987, 1997, 18952, 2015, 1999, 2092, 2764, 3032, 2007, 9677, 9703, 26775, 20499, 1012, 2174, 2023, 2515, 2025, 25174, 2037, 21923, 2000, 2035, 18952, 2015, 1010, 2004, 2027, 2323, 2004, 20781, 2000, 12771, 2037, 11405, 12145, 1998, 2007, 4852, 4254, 1012, 1998, 2005, 3032, 2007, 22877, 1997, 7327, 16993, 2122, 2024, 1996, 10908, 2027, 2323, 2022, 2559, 2000, 6162, 2559, 2012, 1996, 10908, 2005, 3323, 1999, 2023, 3276, 1010, 3323, 2015, 2024, 3227, 11074, 1999, 1996, 2126, 2027, 3066, 2007, 18952, 4311, 1010, 1012, 2004, 1037, 2765, 2045, 2003, 2025, 1996, 2168, 20228, 11031, 6525, 1997, 4781, 2030, 6481, 2800, 2000, 5009, 3323, 2015, 1999, 1996, 2458, 1997, 2037, 7565, 2005, 8304, 18952, 4311, 2030, 2005, 2037, 8147, 2007, 18952, 2015, 1012, 8821, 1010, 18952, 2015, 3768, 2019, 23949, 2275, 1997, 6481, 2027, 2064, 6523, 2000, 2043, 4851, 3323, 2000, 3477, 2349, 3086, 2000, 18952, 4311, 2000, 11598, 2037, 4254, 1012, 21877, 7011, 1010, 4903, 2050, 3073, 2070, 8606, 1998, 6481, 2599, 2000, 2048, 3227, 3970, 9095, 2045, 2003, 1037, 5337, 7337, 2005, 1996, 3323, 2000, 5136, 1996, 18952, 4311, 1010, 1998, 2008, 3323, 12778, 2349, 3086, 2000, 1996, 4311, 1999, 6224, 2000, 2907, 2231, 2000, 4070, 2045, 2024, 2200, 2261, 2060, 4781, 2000, 4009, 2006, 1012, 2053, 2880, 4781, 6523, 2000, 1996, 4598, 1997, 1037, 4056, 2837, 7149, 2007, 18952, 4311, 1998, 13487, 2007, 1996, 2154, 1011, 2000, 1011, 2154, 4807, 2007, 1996, 18952, 1010, 2292, 2894, 1037, 5768, 15727, 2837, 1010, 2107, 2004, 1037, 2270, 6115, 2837, 1012, 2174, 2045, 2024, 1037, 2193, 1997, 2470, 4981, 4810, 2006, 3361, 15709, 2011, 3323, 2015, 1012, 2122, 3073, 2582, 8606, 2006, 2054, 2071, 2022, 2641, 2204, 3218, 1999, 5768, 3361, 15709, 1012, 3391, 1999, 7189, 2000, 2204, 6078, 4919, 2005, 5768, 15727, 9528, 1012, 2045, 2003, 1037, 5041, 10465, 1999, 1996, 3906, 7149, 2007, 1996, 4106, 1997, 14397, 2015, 2055, 2129, 2027, 2342, 2000, 2022, 7362, 1998, 7692, 2094, 2000, 2202, 2440, 5056, 1997, 1996, 11532, 2008, 18952, 2015, 2031, 2000, 3749, 1012, 2005, 2742, 2027, 2036, 3073, 1037, 2275, 1997, 4141, 6749, 6481, 2055, 2129, 14397, 2015, 2323, 3066, 2007, 1996, 2592, 3024, 2011, 18952, 2015, 1010, 5546, 2005, 3180, 15727, 4311, 1012, 3568, 5819, 1996, 2504, 1997, 4415, 2511, 6481, 2005, 3323, 2015, 2000, 3582, 1999, 2049, 17423, 1997, 18952, 4311, 1998, 8147, 2007, 18952, 2015, 2003, 2200, 10124, 1010, 2009, 2003, 3154, 2295, 2008, 2004, 1037, 6263, 1996, 17626, 2003, 2008, 1037, 3323, 2038, 5337, 10595, 2005, 6195, 18952, 4311, 1010, 1998, 2008, 2009, 2109, 2000, 2907, 2231, 2000, 4070, 1012, 1012, 18952, 2015, 2064, 1010, 1998, 2323, 1010, 1999, 2037, 4807, 2007, 3323, 2015, 5326, 11706, 5768, 7565, 2005, 7149, 2007, 2037, 2147, 1998, 2089, 1999, 2725, 2061, 6523, 2000, 2122, 6263, 10908, 1010, 2004, 2092, 2004, 2204, 6078, 4453, 1999, 12596, 2913, 1012, 1996, 4781, 1998, 6481, 3073, 1037, 7705, 2005, 1996, 3276, 2090, 18952, 2015, 1998, 3323, 2015, 2021, 2045, 2024, 3278, 5966, 2426, 3032, 1999, 1996, 6543, 1998, 3423, 2275, 1011, 2039, 1997, 3323, 2015, 1010, 18952, 2015, 1010, 2231, 8593, 1998, 5166, 3001, 1012, 2027, 2035, 3747, 1996, 17842, 7705, 1998, 1996, 12353, 1997, 2551, 4262, 2090, 18952, 2015, 1998, 3323, 2015, 1012, 1996, 8606, 3259, 11637, 2070, 1997, 2122, 3145, 6123, 8787, 5876, 2029, 7461, 4338, 1996, 6550, 2090, 1996, 18952, 1998, 3323, 18952, 2015, 2031, 2764, 2306, 1996, 3451, 1010, 3423, 1998, 2576, 7443, 1997, 2037, 3265, 3032, 1010, 2877, 2000, 1037, 6196, 8386, 1999, 2129, 2027, 5452, 1012, 2027, 13644, 5452, 2104, 2028, 1997, 2093, 4275, 2436, 1010, 2604, 2030, 8268, 4275, 25870, 3251, 2037, 15727, 2075, 3921, 2038, 7145, 2042, 2013, 1037, 3361, 2030, 3423, 7339, 1010, 1998, 2348, 1996, 3522, 8973, 1997, 26354, 15593, 2038, 2419, 2000, 2062, 18700, 2045, 2003, 2145, 3528, 1999, 4254, 2006, 2129, 6550, 2007, 3323, 2031, 1998, 2097, 3613, 2000, 4503, 1998, 19852, 2129, 18952, 2015, 8116, 2037, 15727, 2015, 1998, 1996, 7902, 2872, 2006, 4127, 1997, 15727, 2015, 1996, 25291, 1997, 25979, 1010, 2005, 2742, 11422, 2000, 2022, 15727, 2098, 1998, 6075, 1996, 2828, 1998, 6075, 1997, 7316, 1996, 3167, 6550, 2090, 1996, 4105, 1998, 4584, 1997, 1996, 4896, 2003, 2590, 1010, 1998, 1999, 3327, 1996, 3276, 2090, 1996, 2132, 1997, 1037, 18952, 1998, 1996, 3242, 1997, 1996, 7882, 5768, 2837, 1012, 3431, 2000, 3633, 1999, 2216, 4460, 2097, 2031, 2019, 3747, 2006, 1996, 2147, 1998, 4254, 1997, 1996, 18952, 1012, 8973, 1999, 5768, 7565, 1010, 2005, 2742, 1996, 4127, 1997, 9528, 7149, 2007, 1996, 18952, 4311, 1010, 3251, 2027, 2024, 4208, 2006, 2069, 4654, 2695, 17423, 2030, 4654, 14405, 2063, 17423, 1010, 4852, 2535, 1997, 4753, 2389, 9528, 11619, 1997, 2129, 2231, 2003, 7362, 2164, 1996, 2504, 1997, 3622, 17842, 1997, 2231, 6736, 1010, 5166, 1998, 9529, 3001, 2633, 1996, 2576, 4044, 1999, 2029, 18952, 2015, 5452, 2003, 8790, 3864, 1010, 3431, 1999, 2372, 1997, 3323, 1010, 3431, 1999, 1996, 8397, 1998, 5512, 1997, 1037, 4056, 2837, 1010, 1998, 3568, 1996, 2342, 2005, 1996, 18952, 2000, 3857, 2039, 2047, 6550, 1012, 5768, 3037, 1999, 2270, 2968, 3314, 2097, 19857, 6593, 20598, 2035, 5876, 9280, 25870, 1996, 3276, 2090, 18952, 2015, 1998, 3323, 2015, 1012, 2027, 2089, 2025, 3495, 3747, 1996, 3276, 2090, 18952, 1998, 3323, 1010, 2021, 2027, 2024, 3497, 2000, 3747, 1996, 2828, 1997, 15727, 3189, 7864, 2000, 3323, 1010, 9280, 4292, 9671, 5918, 2000, 3323, 1999, 7149, 2007, 2122, 4311, 1012, 2005, 18952, 2015, 2009, 2003, 2590, 2000, 8339, 2006, 2129, 2122, 7565, 7461, 1996, 12353, 1997, 4807, 1998, 7316, 3210, 1012, 1996, 3276, 2090, 18952, 1998, 3323, 2003, 9950, 2011, 1037, 2312, 2193, 1997, 5876, 1010, 2013, 1996, 6543, 1998, 3423, 4292, 2000, 1996, 3167, 3276, 2090, 1996, 2132, 1997, 1996, 18952, 1998, 1996, 5882, 1997, 3323, 2030, 1996, 3242, 1997, 1996, 4056, 2837, 1012, 6550, 2090, 18952, 2015, 1998, 3323, 2015, 2024, 10843, 2104, 1996, 3747, 1997, 2122, 5876, 1012, 1996, 3754, 2000, 2022, 12379, 1010, 15581, 3085, 1998, 26651, 2000, 5278, 6214, 2003, 4072, 1999, 2344, 2000, 5441, 4621, 2551, 6550, 1012, 2023, 12748, 2008, 18952, 2015, 1998, 3323, 2015, 2323, 2022, 1999, 5377, 4807, 2007, 2169, 2060, 2000, 14358, 2129, 2037, 3276, 19852, 2015, 1998, 5676, 2008, 18952, 2147, 2003, 2628, 2039, 6464, 2011, 3323, 28369, 1012, 2445, 1996, 16965, 6214, 2090, 3032, 1010, 2009, 2036, 7127, 2008, 2045, 2003, 2025, 2028, 2944, 2005, 4621, 2551, 3276, 2090, 18952, 2015, 1998, 3323, 2015, 1012, 2054, 2573, 1999, 2028, 2406, 2012, 1037, 2445, 2617, 2089, 2025, 2022, 2147, 3085, 1999, 2178, 1012, 2054, 2003, 2734, 2003, 1037, 2832, 1997, 10843, 6224, 2005, 1996, 2190, 2104, 1996, 6214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 2434, 2470, 1011, 2330, 3229, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 2007, 2030, 2302, 3231, 21412, 16749, 8347, 1024, 2003, 2045, 1037, 4489, 1029, 16945, 1997, 23614, 5970, 3872, 2385, 1010, 3720, 2193, 1024, 2385, 1006, 12609, 1007, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 24326, 5302, 13075, 11261, 29109, 22471, 16940, 2003, 1037, 3647, 1998, 10539, 6028, 2005, 13075, 11261, 29109, 2063, 3949, 1999, 25947, 1998, 2336, 1012, 1996, 3800, 1997, 2023, 2817, 2001, 2000, 12826, 1996, 13105, 1997, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 2007, 1998, 2302, 3231, 21412, 16749, 8347, 1012, 1996, 17464, 6721, 16169, 1997, 3479, 5022, 2001, 2589, 2012, 2632, 1011, 17207, 8167, 2118, 2902, 1010, 23614, 5970, 2533, 2013, 2337, 2230, 6229, 2254, 2325, 1012, 2035, 5022, 9601, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 1998, 2027, 2020, 4055, 2046, 2048, 5020, 2967, 1010, 2177, 1037, 9601, 5001, 10464, 24895, 24326, 5302, 2302, 3231, 21412, 16749, 12403, 4892, 1998, 2177, 1038, 9601, 1996, 7709, 2007, 3231, 21412, 16749, 12403, 4892, 1012, 1996, 2364, 9560, 2443, 12160, 2051, 1010, 2695, 25918, 8082, 18479, 29109, 2063, 1010, 1998, 28297, 1997, 13075, 11261, 29109, 2063, 1010, 2362, 2007, 4608, 1011, 2039, 3231, 21412, 3930, 2030, 3231, 21412, 2012, 18981, 10536, 1012, 2028, 3634, 1998, 8442, 3287, 5022, 3591, 2007, 2187, 1011, 11536, 3078, 13075, 11261, 29109, 2063, 2008, 2001, 11441, 6612, 2135, 1998, 19768, 2011, 3609, 2079, 9397, 3917, 11087, 3385, 9888, 1012, 1996, 2812, 2287, 2001, 2403, 1012, 2423, 1081, 1015, 1012, 1020, 2086, 1006, 15844, 2410, 1011, 2385, 2086, 1007, 1012, 2045, 2001, 2028, 2553, 1997, 14516, 13075, 11261, 29109, 2063, 1999, 2177, 1037, 1010, 4102, 2000, 1022, 3572, 1999, 2177, 1038, 2007, 1037, 7778, 2135, 3278, 4489, 1006, 1052, 1027, 1014, 1012, 5890, 2575, 1007, 1012, 1037, 3278, 4489, 2018, 2042, 2179, 1999, 1996, 12160, 2051, 1006, 1052, 1027, 1014, 1012, 25604, 1007, 2090, 2119, 2967, 1012, 2053, 18479, 29109, 2063, 2030, 3231, 21412, 2012, 18981, 10536, 2018, 2042, 11156, 1999, 2119, 2967, 1012, 2053, 3278, 6970, 1011, 2177, 5966, 2020, 2464, 1999, 5919, 1997, 2287, 1010, 13075, 11261, 29109, 2063, 3694, 1010, 1998, 4608, 1011, 2039, 3231, 21412, 3930, 1012, 1996, 2812, 3582, 1011, 2039, 2558, 2001, 4413, 2706, 1006, 2484, 1011, 3438, 2706, 1007, 1012, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 24326, 5302, 13075, 11261, 29109, 22471, 16940, 2001, 6020, 2000, 2008, 2007, 3231, 21412, 16749, 8347, 2004, 7634, 13075, 11261, 29109, 2063, 28297, 1998, 12160, 2051, 1998, 6516, 2003, 9544, 3085, 2005, 1996, 2968, 1997, 3078, 23614, 13075, 11261, 29109, 2063, 1012, 2028, 1997, 1996, 2087, 2691, 24471, 12898, 12863, 28828, 2003, 13075, 11261, 29109, 2063, 1012, 2009, 2003, 2179, 1999, 20274, 3767, 7478, 2013, 2321, 1011, 2539, 2086, 2214, 2007, 2321, 1003, 18949, 1012, 2005, 22939, 26745, 7741, 13075, 11261, 29109, 2063, 1010, 6612, 11616, 1010, 3231, 21412, 3872, 10903, 2011, 27312, 1006, 1057, 1013, 1055, 1007, 1998, 15308, 1997, 1996, 13075, 11261, 29109, 2063, 2024, 1996, 2364, 4084, 1012, 18047, 4175, 1998, 17376, 2024, 3811, 3141, 2000, 3231, 2229, 1012, 1999, 1996, 9410, 7667, 1997, 13075, 11261, 29109, 2063, 1999, 25947, 1010, 7367, 3549, 11709, 2024, 2025, 2443, 1012, 5022, 2007, 13075, 11261, 29109, 2063, 17949, 1997, 8040, 21709, 2389, 17964, 2030, 3255, 2089, 9015, 2013, 6555, 4053, 1997, 1996, 3231, 21412, 8153, 1010, 4525, 1999, 1044, 22571, 4140, 18981, 10536, 1012, 13075, 11261, 29109, 22471, 16940, 2038, 3365, 8107, 2004, 12702, 26210, 26715, 4942, 1011, 13749, 20023, 2389, 1006, 25507, 1007, 1010, 13749, 20023, 2389, 1006, 7332, 23491, 12933, 1007, 1010, 21419, 1006, 24326, 5302, 1007, 1010, 1998, 5001, 10464, 24895, 1998, 8040, 3917, 14573, 6906, 7685, 1006, 14405, 13910, 13662, 1998, 22307, 24170, 1007, 1012, 1996, 18949, 1997, 18479, 29109, 2063, 4195, 2044, 13075, 11261, 29109, 22471, 16940, 2003, 8023, 1998, 7108, 2000, 1048, 24335, 21890, 4588, 27208, 1012, 1048, 24335, 21890, 4588, 12403, 4892, 13075, 11261, 29109, 22471, 16940, 2001, 3378, 2007, 1037, 10548, 18949, 1997, 2695, 25918, 8082, 18479, 29109, 2063, 1012, 1996, 18479, 29109, 2063, 4195, 4158, 6022, 2625, 4703, 1999, 1996, 1048, 24335, 21890, 4588, 12403, 4892, 1999, 7831, 2000, 1996, 2512, 1011, 12403, 4892, 5970, 1006, 1015, 1012, 1023, 1003, 5443, 1012, 2459, 1012, 1023, 1003, 1007, 1012, 1996, 3800, 1997, 1996, 2817, 2001, 2000, 25037, 1996, 7831, 2090, 1996, 13105, 1997, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 2007, 2030, 2302, 3231, 21412, 16749, 8347, 2004, 12362, 1996, 12160, 2051, 1010, 28297, 1997, 13075, 11261, 29109, 2063, 1010, 2458, 1997, 2695, 1011, 12160, 18479, 29109, 2063, 1010, 1998, 4608, 1011, 2039, 1997, 3231, 21412, 3930, 2030, 3231, 21412, 2012, 18981, 10536, 1012, 5022, 1998, 4725, 1996, 2817, 2001, 2589, 2012, 1996, 23614, 5970, 2533, 1010, 2632, 1011, 17207, 8167, 2118, 8323, 1010, 1999, 11096, 1010, 2013, 2337, 2230, 6229, 2254, 2325, 1010, 2007, 12962, 2837, 6226, 1010, 1998, 6727, 2517, 9619, 2013, 2035, 5022, 1012, 5022, 2020, 4055, 2046, 2048, 5020, 2967, 1012, 2177, 1037, 1010, 9601, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 24326, 5302, 13075, 11261, 29109, 22471, 16940, 1006, 2302, 3231, 21412, 16749, 8347, 1007, 1998, 2177, 1038, 9601, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 2007, 3231, 21412, 16749, 8347, 1006, 2069, 3231, 21412, 12818, 12528, 4691, 1007, 1012, 6721, 4989, 2001, 2589, 1999, 1996, 4082, 2282, 2083, 10203, 11255, 2015, 1012, 1996, 13075, 11261, 29109, 2063, 2001, 21976, 2013, 1015, 2000, 1017, 7022, 2429, 2000, 1996, 18976, 1006, 12931, 2378, 1998, 2572, 10581, 2099, 5579, 1007, 1012, 3694, 1015, 12818, 29454, 6790, 3508, 14412, 4502, 3468, 2076, 11748, 12002, 3567, 1521, 1055, 17519, 1010, 3694, 1016, 1025, 14412, 4502, 3468, 1999, 2019, 10051, 2597, 2302, 11748, 12002, 3567, 1521, 1055, 17519, 1998, 3694, 1017, 1025, 14412, 4502, 3468, 1998, 5710, 29454, 4383, 9607, 2083, 8040, 21709, 2389, 3096, 1999, 1996, 10051, 2597, 2302, 11748, 3736, 2615, 2721, 1521, 1055, 17519, 1012, 1057, 1013, 1055, 13594, 2007, 3609, 2079, 9397, 3917, 2001, 2589, 2005, 2035, 5022, 2000, 12210, 1996, 11616, 1010, 14358, 1996, 2946, 1998, 5646, 1996, 18976, 1997, 2310, 18674, 25416, 25148, 1012, 1996, 3231, 21412, 3872, 2005, 2119, 3231, 20921, 2001, 7594, 2011, 1057, 1013, 1055, 2478, 1996, 5675, 1006, 1014, 1012, 6390, 1095, 3091, 1095, 9381, 1095, 4578, 1007, 1012, 25353, 27718, 9626, 4588, 5022, 2007, 3078, 2187, 1011, 11536, 25416, 25148, 2075, 13075, 11261, 29109, 2063, 3694, 1015, 1010, 1016, 1010, 2030, 1017, 2007, 3231, 21412, 3255, 1006, 17964, 2030, 8040, 21709, 2389, 2002, 18891, 2791, 1007, 1010, 2030, 3231, 21412, 2004, 24335, 24327, 4225, 2004, 2322, 1003, 2030, 3618, 3872, 11658, 2090, 2119, 3231, 20921, 1012, 9530, 9006, 25451, 2102, 2187, 1011, 11536, 2014, 6200, 2030, 18479, 29109, 2063, 2030, 3025, 2187, 1011, 11536, 20092, 5970, 1010, 5022, 4188, 2000, 5589, 1999, 1996, 2817, 2030, 2439, 2000, 3582, 1011, 2039, 2695, 25918, 8082, 2135, 1012, 2044, 15946, 1997, 2236, 2019, 25344, 1010, 1998, 2096, 1996, 5776, 2001, 1999, 7263, 9874, 12260, 22642, 2597, 1010, 1998, 2013, 2055, 1019, 2000, 2184, 8117, 2077, 19817, 24755, 2099, 23851, 1010, 26721, 1011, 11968, 2368, 11714, 9067, 13341, 1997, 1016, 19875, 1997, 1015, 1003, 25003, 8625, 2630, 18554, 1006, 16914, 1007, 1999, 1996, 2187, 3231, 25128, 2001, 8885, 2478, 1037, 2538, 1011, 10012, 12201, 1010, 2628, 2011, 7132, 21881, 1997, 1996, 8040, 21709, 2819, 2005, 2055, 1015, 8117, 1012, 2035, 5022, 9601, 5001, 10464, 24895, 13075, 11261, 29109, 22471, 16940, 2007, 14080, 1999, 1996, 2433, 1997, 12403, 4892, 1997, 1996, 1048, 24335, 21890, 4588, 6470, 2007, 1006, 2177, 1038, 1007, 1998, 2302, 1006, 2177, 1037, 1007, 3231, 21412, 16749, 8347, 1012, 2330, 2038, 3385, 6028, 2001, 2109, 2005, 23851, 1997, 1996, 2034, 19817, 24755, 2099, 2083, 1037, 4942, 1011, 8529, 14454, 7476, 4297, 19969, 2055, 1019, 3461, 1999, 3091, 1012, 1052, 2638, 2819, 25918, 9956, 2638, 2819, 2001, 2511, 2000, 1037, 3778, 1997, 2260, 3461, 25619, 2628, 2011, 11073, 1997, 2048, 1019, 1011, 3461, 2551, 8831, 11457, 2000, 1996, 8529, 14454, 14239, 2006, 2119, 3903, 1012, 1999, 2177, 1037, 1010, 1998, 2044, 8720, 1997, 1996, 3231, 21412, 6470, 1010, 2019, 4297, 19969, 2001, 2589, 1999, 1996, 2566, 9956, 2638, 2819, 4077, 1996, 3231, 21412, 6470, 1998, 2004, 2152, 2004, 2825, 2682, 1996, 4722, 3614, 1012, 9702, 1048, 24335, 21890, 14606, 2020, 4453, 2083, 2049, 14154, 4509, 8417, 2008, 29486, 2005, 2055, 3486, 1011, 3429, 8117, 2044, 13341, 1012, 9702, 1048, 24335, 21890, 14606, 2020, 7275, 2013, 1996, 21449, 21877, 14808, 2571, 1998, 1996, 3588, 6470, 2020, 4487, 11393, 10985, 2489, 1998, 4055, 2044, 12528, 4691, 1012, 1999, 2177, 1038, 1010, 1996, 3231, 21412, 16749, 2001, 4453, 1010, 2083, 2049, 16405, 4877, 10708, 1010, 1998, 6560, 1012, 2065, 1996, 16405, 4877, 10708, 2020, 2025, 6835, 1010, 8272, 1997, 1014, 1012, 1019, 2000, 1016, 19875, 29454, 12926, 13008, 6299, 3170, 1006, 2382, 11460, 13008, 6299, 3170, 18479, 2818, 10626, 5178, 1999, 2184, 19875, 28413, 1007, 2058, 1996, 3231, 21412, 6470, 2001, 2589, 2096, 16922, 2522, 2475, 3778, 2005, 2055, 1015, 8117, 1012, 1996, 3231, 21412, 16749, 1998, 1996, 1048, 24335, 21890, 4588, 6470, 2020, 2777, 2594, 21227, 4453, 1998, 6560, 1012, 3231, 21412, 9607, 2020, 7275, 1010, 20144, 1010, 1998, 4055, 1012, 2059, 1010, 1996, 2522, 2475, 2001, 10016, 1998, 1996, 13878, 2001, 13366, 13776, 1010, 1998, 1996, 2551, 8831, 2020, 15901, 2104, 3622, 4432, 2628, 2011, 1996, 8529, 14454, 7476, 3417, 1012, 2035, 1996, 3417, 4573, 2020, 13671, 2011, 16888, 3085, 10514, 22662, 1012, 2695, 25918, 8082, 2135, 1010, 1996, 3008, 2020, 6727, 2055, 1996, 3517, 2689, 1997, 1996, 5776, 1521, 1055, 17996, 3609, 2005, 2055, 2484, 2000, 4466, 1044, 2044, 5970, 1012, 2035, 5022, 2020, 2628, 2039, 2012, 1996, 2041, 24343, 9349, 1012, 15847, 1010, 1015, 2733, 2695, 25918, 8082, 2135, 2005, 3417, 4573, 6357, 4638, 1998, 2059, 2044, 1015, 1010, 1017, 1010, 1020, 1010, 2260, 1010, 2324, 1010, 1998, 2484, 2706, 2005, 7667, 1998, 10250, 12322, 8156, 1997, 1996, 3231, 21412, 3872, 1006, 3231, 21412, 4608, 1011, 2039, 3930, 2030, 2012, 18981, 10536, 1007, 1010, 28297, 1997, 13075, 11261, 29109, 2063, 2030, 2695, 25918, 8082, 18479, 29109, 2063, 4195, 1012, 2035, 9556, 2020, 4484, 2011, 3609, 2079, 9397, 3917, 1057, 1013, 1055, 2296, 3942, 2076, 1996, 3582, 1011, 2039, 2558, 1012, 1996, 3231, 21412, 2012, 18981, 10536, 2001, 4225, 2004, 1037, 9885, 1999, 1996, 2946, 1997, 1996, 3231, 25128, 2011, 2062, 2084, 2322, 1003, 1999, 7189, 2000, 1996, 24528, 28277, 3231, 2483, 1012, 3231, 21412, 4608, 1011, 2039, 4225, 2004, 1037, 9885, 1999, 2004, 24335, 24327, 2000, 2625, 2084, 2322, 1003, 2008, 2003, 4484, 2011, 1057, 1013, 1055, 1012, 1996, 3231, 21412, 2946, 2001, 16330, 2011, 1057, 1013, 1055, 2007, 2296, 3582, 1011, 2039, 3942, 1012, 2035, 5022, 2020, 5845, 2011, 1996, 2168, 11707, 2136, 1010, 1996, 2034, 2093, 6048, 1012, 7099, 2946, 17208, 2001, 2589, 2011, 19960, 9289, 2278, 29656, 2544, 10545, 1012, 13029, 1012, 12904, 1012, 2340, 2565, 1010, 7778, 10250, 19879, 4263, 2241, 2006, 5345, 1003, 7023, 13483, 1010, 1998, 2373, 1997, 1996, 2817, 3770, 1003, 2007, 1155, 7561, 1019, 1003, 1012, 2122, 5300, 2020, 10174, 2478, 7099, 2946, 5155, 1037, 10124, 7099, 2946, 2005, 2169, 2177, 3770, 3572, 1012, 1996, 7778, 7427, 2005, 2591, 4163, 2565, 1006, 11867, 4757, 1007, 2544, 2322, 4007, 21628, 8898, 1998, 7778, 2135, 16578, 5067, 2951, 1012, 24209, 11475, 27453, 2951, 2001, 2589, 2011, 1999, 7512, 24271, 16478, 2478, 9610, 1011, 2675, 3231, 2005, 1996, 2981, 2967, 1012, 1996, 3278, 2504, 2001, 11156, 2012, 1052, 3643, 1026, 1014, 1012, 28714, 1025, 4728, 1010, 2009, 2003, 2025, 3278, 1012, 1996, 1052, 3643, 2003, 1037, 7778, 5468, 2005, 1996, 9723, 2008, 5159, 3463, 1999, 1996, 2817, 9212, 6895, 2135, 4158, 1012, 2028, 3634, 1998, 8442, 3287, 5022, 3591, 2007, 2187, 1011, 11536, 3078, 13075, 11261, 29109, 2063, 2040, 2777, 1996, 10502, 9181, 2018, 2042, 2443, 2005, 1996, 2817, 2076, 1996, 2558, 2090, 13114, 2230, 1998, 5553, 2325, 1012, 2037, 2812, 2287, 2001, 2403, 1012, 2423, 1081, 1048, 1012, 1020, 2086, 1006, 15844, 2410, 1011, 2385, 2086, 1007, 1012, 2053, 3278, 6970, 1011, 2177, 5966, 2020, 2464, 1999, 5919, 1997, 2287, 2030, 13075, 11261, 29109, 2063, 3694, 1012, 2035, 5022, 9601, 1048, 24335, 21890, 4588, 12403, 4892, 5001, 10464, 24895, 13075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2009, 1005, 1055, 2825, 2008, 2017, 2024, 13417, 26033, 28522, 20791, 3314, 2008, 2089, 2022, 12473, 2115, 6090, 16748, 3022, 1012, 3471, 2007, 1996, 26033, 28522, 20791, 2064, 2599, 2000, 22889, 15979, 1013, 2962, 4195, 2008, 1011, 2076, 6019, 1011, 2064, 3426, 12403, 19230, 1997, 1996, 2691, 23974, 23245, 1010, 2030, 2009, 1005, 1055, 2825, 2000, 2031, 12403, 19230, 2302, 1996, 3739, 1997, 6386, 1013, 22889, 15979, 1012, 2593, 2126, 1010, 2065, 1996, 17324, 2094, 14572, 2091, 1999, 2151, 5450, 1010, 2009, 2089, 3426, 4372, 8017, 20511, 1997, 1996, 23245, 2058, 2051, 1012, 2065, 1996, 23245, 12403, 19230, 1013, 14572, 1010, 1996, 8417, 1997, 1996, 17324, 2094, 2064, 2067, 1011, 2039, 2046, 1996, 6090, 16748, 3022, 4786, 2019, 20187, 2832, 2000, 2707, 1998, 2765, 1999, 2659, 1011, 2504, 6090, 16748, 10450, 7315, 1998, 2019, 6678, 1999, 6090, 16748, 12070, 16285, 2107, 2004, 6864, 25002, 1012, 3046, 13423, 2007, 1998, 2206, 1037, 2659, 1011, 6638, 8738, 2146, 1011, 2744, 1012, 2021, 2023, 2003, 2242, 2017, 2323, 3929, 6848, 2007, 2115, 3460, 1012, 2017, 2123, 1005, 1056, 2215, 2000, 2203, 2039, 2007, 11325, 4491, 1997, 6090, 16748, 10450, 7315, 2008, 2599, 2000, 2146, 1011, 2744, 6090, 16748, 10450, 7315, 1998, 4053, 2000, 2115, 6090, 16748, 3022, 1012, 2009, 1005, 1055, 5507, 3489, 2017, 2020, 4129, 2026, 2466, 999, 2089, 2643, 2000, 1996, 1000, 1056, 1000, 1045, 2018, 3255, 1999, 2026, 3108, 2000, 2707, 2041, 1010, 2059, 2706, 2101, 2000, 2026, 2157, 2217, 1010, 2059, 2026, 3054, 2930, 1010, 2085, 2009, 1005, 1055, 1999, 2026, 10424, 18447, 2415, 19935, 20936, 2078, 1998, 16101, 2890, 6593, 2135, 2168, 2415, 1999, 1996, 2067, 2096, 23229, 12098, 19224, 2026, 2157, 2217, 2061, 1045, 2064, 1005, 1056, 13653, 2425, 2029, 2173, 2009, 2003, 2746, 2013, 999, 2018, 9413, 4937, 24053, 3619, 1010, 1060, 9447, 2015, 1010, 2725, 1037, 27011, 2023, 2746, 2733, 1010, 1998, 1045, 2572, 6015, 2138, 2026, 21025, 3460, 2056, 2008, 2023, 2003, 16405, 20838, 2032, 1012, 2065, 2044, 2035, 1996, 2086, 1997, 2032, 7149, 2007, 2111, 2007, 11424, 26775, 3170, 3314, 2002, 2064, 2360, 2000, 2033, 2008, 2002, 1005, 1055, 14909, 1045, 2514, 2008, 2002, 2003, 2070, 2054, 4297, 25377, 12184, 3372, 2000, 3066, 2007, 2026, 3277, 999, 2054, 2024, 2057, 2000, 2079, 999, 2023, 2003, 1996, 2034, 2051, 1045, 2572, 4994, 2055, 6396, 23974, 23245, 2015, 1010, 2027, 2196, 25212, 2078, 2716, 2008, 2039, 999, 2021, 1045, 2031, 2042, 3110, 1038, 4135, 4383, 1998, 2025, 2183, 2066, 1045, 2323, 1012, 2028, 2154, 1045, 2245, 2008, 1045, 1059, 2015, 2183, 2000, 13950, 2061, 2288, 27327, 8082, 1010, 1998, 2009, 2134, 1005, 1056, 2147, 1012, 1045, 2001, 2061, 6015, 2012, 2008, 2391, 1012, 2059, 1045, 10749, 2070, 6501, 1998, 8823, 10930, 27390, 2102, 1059, 16257, 2232, 1045, 2572, 18749, 22282, 2046, 3917, 4630, 3271, 2041, 2632, 4140, 1998, 2026, 6090, 16748, 11022, 3030, 11878, 2205, 1012, 2009, 2001, 4335, 2005, 2119, 2000, 2175, 999, 1045, 6357, 2121, 2065, 2023, 23974, 23245, 3291, 2003, 6230, 2000, 2033, 2205, 999, 2172, 2062, 2000, 2360, 2021, 14841, 4103, 1998, 17056, 1012, 2178, 25353, 27718, 6633, 1010, 1045, 2572, 5458, 2035, 1996, 2051, 1010, 2659, 2943, 999, 2031, 2017, 2904, 2115, 8738, 1029, 2065, 1045, 4521, 2659, 6638, 9440, 1045, 2123, 1005, 1056, 2031, 1037, 3291, 1012, 1045, 2074, 4737, 2008, 1010, 2130, 2065, 2045, 1005, 1055, 2025, 3255, 1010, 2003, 2045, 2242, 2145, 3308, 1999, 2045, 1029, 1045, 2031, 2904, 2026, 8738, 2009, 1005, 1055, 2042, 2048, 2086, 2085, 999, 1045, 2228, 5278, 1037, 8738, 2003, 3100, 1010, 2021, 2009, 2003, 2025, 1996, 2663, 2035, 2005, 1996, 2907, 3291, 1012, 1045, 6357, 2121, 2339, 1996, 7435, 16390, 2000, 2074, 17503, 2135, 7438, 2023, 3291, 1012, 1045, 2572, 2019, 3063, 1010, 1998, 1045, 2202, 2477, 4237, 1999, 2026, 2568, 2000, 6773, 2068, 2362, 2153, 1012, 1045, 2514, 2065, 1037, 20160, 4263, 2003, 9657, 1999, 2037, 4813, 1010, 2027, 2052, 8849, 2023, 1037, 2210, 2062, 24663, 2059, 2027, 2079, 999, 2009, 5683, 2066, 2027, 2074, 3984, 2012, 2054, 2027, 2228, 2044, 4851, 2116, 3980, 1010, 2079, 1037, 3232, 21025, 13441, 2000, 8849, 1010, 1037, 2210, 2668, 2147, 1998, 2008, 1005, 1055, 2009, 999, 2027, 2031, 2000, 2954, 1996, 5427, 3316, 2000, 2344, 2019, 27011, 2005, 2037, 2219, 5022, 1012, 2054, 2785, 1997, 2291, 3594, 1037, 7435, 6040, 2021, 2175, 2114, 2010, 2219, 3949, 10293, 1010, 1998, 17113, 2015, 2007, 2037, 5022, 2740, 2000, 7438, 2149, 3929, 1010, 2007, 2008, 7435, 4792, 2000, 2079, 2061, 999, 1045, 2572, 2061, 5305, 1997, 1996, 2448, 2105, 1012, 2023, 2003, 2339, 6090, 16748, 3022, 4456, 2003, 18263, 2000, 2424, 1010, 2138, 2027, 2180, 1005, 1056, 2507, 2256, 7435, 18271, 2000, 7438, 2149, 1010, 2138, 1997, 2769, 1012, 8438, 2003, 2041, 1996, 3332, 1012, 2027, 2097, 3828, 1037, 7173, 4743, 2058, 1037, 2204, 6926, 7079, 2046, 1996, 2740, 2729, 2030, 2025, 1012, 2007, 2035, 1996, 3297, 2111, 2040, 3728, 4265, 2013, 2023, 7355, 2045, 2323, 2031, 2042, 2438, 12256, 2063, 2045, 2000, 2424, 1037, 2126, 2000, 2012, 2560, 2131, 2000, 1996, 3041, 5711, 1997, 1996, 3314, 1012, 1045, 2018, 2673, 2017, 2018, 21871, 6508, 3676, 4783, 2581, 2581, 1998, 2145, 6114, 1012, 2123, 1005, 1056, 4521, 6240, 5292, 21194, 1010, 2672, 3869, 1010, 2210, 7975, 1012, 11825, 2003, 2041, 1010, 2061, 4392, 25176, 1010, 2053, 14904, 2015, 1010, 5983, 2062, 6315, 17447, 13512, 3085, 2015, 1012, 4392, 1037, 2843, 1997, 2300, 1029, 2007, 2023, 3291, 2007, 1996, 6090, 16748, 3022, 8738, 7126, 1010, 2021, 2009, 1005, 1055, 2025, 2035, 2008, 2003, 2734, 1997, 3949, 1012, 2026, 2388, 2253, 2067, 1998, 2830, 2000, 1996, 3460, 1010, 1998, 2027, 2056, 2016, 2001, 1037, 1044, 22571, 24163, 4859, 16416, 6593, 2138, 2027, 2481, 1005, 1056, 16114, 2014, 12087, 2007, 1037, 22939, 26745, 3366, 1012, 2016, 2288, 14855, 8630, 6610, 1010, 2059, 2439, 3635, 2035, 2306, 1037, 3204, 1997, 2068, 4214, 2014, 2008, 1012, 2059, 2027, 2699, 2000, 2360, 2016, 2018, 1044, 22571, 4140, 22123, 5562, 1010, 2030, 6358, 5149, 11703, 19500, 1010, 2027, 3651, 2044, 2016, 2288, 1040, 13380, 2401, 1998, 2668, 1999, 2014, 14708, 1010, 2027, 2633, 2106, 5970, 1012, 25307, 999, 2502, 2004, 2154, 1010, 4456, 1010, 1998, 2009, 2018, 2042, 2045, 2061, 2146, 2008, 2009, 3659, 2083, 2041, 2014, 2303, 2011, 1996, 2051, 2027, 2106, 2242, 2000, 2424, 2009, 1012, 1044, 22571, 11663, 15422, 4360, 2026, 10007, 999, 2009, 1005, 1055, 2655, 4297, 25377, 12870, 3372, 22939, 26745, 8583, 1010, 2011, 1037, 4895, 19738, 21119, 3460, 2040, 6845, 2571, 2037, 6643, 4221, 18447, 2015, 2004, 1996, 3291, 1012, 2428, 2028, 3114, 2003, 2138, 1997, 2037, 13720, 2000, 7438, 2014, 7919, 1012, 2085, 1045, 2572, 2438, 5432, 1997, 1996, 2168, 2927, 5711, 1010, 2053, 4456, 2295, 1010, 2012, 2560, 2025, 2664, 4312, 1012, 2027, 2123, 1005, 1056, 2428, 2113, 2028, 2126, 2030, 2178, 2138, 2035, 1045, 2131, 2003, 1996, 2448, 2105, 1012, 2122, 8853, 2008, 2027, 2024, 2725, 2085, 2000, 7438, 6090, 16748, 20559, 3314, 2024, 2200, 13109, 4140, 4648, 3372, 1010, 1998, 18173, 2000, 2113, 2488, 1010, 6854, 2057, 5022, 2024, 1996, 3924, 2000, 9015, 999, 2017, 3532, 2518, 1012, 1045, 2514, 2115, 3255, 1012, 1045, 2444, 1999, 2660, 1998, 2031, 1996, 2168, 3471, 2004, 6737, 1998, 2879, 1051, 2879, 2027, 2205, 2024, 14163, 23177, 2033, 2461, 2182, 1998, 1045, 2572, 2066, 1037, 17852, 13433, 3070, 3608, 2067, 1998, 19390, 2000, 1996, 21025, 9431, 1018, 2847, 2185, 1998, 2002, 7906, 4129, 2033, 2000, 2175, 2188, 1998, 2045, 2003, 2498, 2027, 2064, 2079, 1998, 2000, 2202, 3255, 4335, 1012, 1045, 2179, 2041, 1996, 2060, 2154, 2007, 1037, 14931, 13594, 1045, 2031, 1037, 10722, 20360, 1999, 2026, 17324, 2094, 1012, 1012, 1012, 2061, 2085, 10047, 2067, 2091, 2000, 1996, 9431, 2153, 1012, 7929, 2007, 2017, 1010, 5962, 2000, 2054, 2017, 2031, 2056, 4165, 2066, 2017, 2071, 2031, 26033, 28522, 20791, 1013, 6090, 16748, 10450, 7315, 3471, 1012, 2065, 2115, 2572, 5423, 11022, 2003, 8319, 2008, 2003, 8343, 1997, 6090, 16748, 10450, 7315, 2030, 26033, 28522, 20791, 3314, 1012, 1045, 2031, 11888, 6090, 16748, 10450, 7315, 1998, 2131, 11325, 6090, 16748, 10450, 7315, 1999, 2090, 1998, 2009, 2003, 17111, 9541, 2080, 9145, 1045, 2203, 2039, 1999, 1996, 16222, 1998, 5057, 1012, 1012, 1012, 2061, 2065, 2017, 2024, 2383, 6659, 3255, 2066, 2008, 2205, 1012, 1012, 1045, 2903, 2017, 2342, 2068, 2000, 2079, 2054, 2003, 2170, 9413, 21906, 1012, 1012, 1012, 2073, 2027, 2404, 1037, 4950, 2091, 2115, 3759, 1998, 2038, 1037, 2298, 2012, 2115, 6090, 16748, 3022, 1013, 17324, 2094, 1013, 26033, 28522, 20791, 4385, 1998, 2065, 2045, 2003, 2505, 2027, 2064, 2593, 6366, 2009, 2030, 2202, 16012, 4523, 3111, 1997, 2505, 2027, 2156, 1012, 1012, 1012, 2065, 2505, 2003, 2464, 1012, 2065, 2045, 2003, 11792, 23974, 23245, 2045, 2003, 1037, 3114, 2005, 2008, 1998, 2009, 2071, 2022, 2008, 2017, 2089, 2031, 1037, 4013, 2497, 2007, 2115, 26033, 28522, 20791, 2030, 2115, 6090, 16748, 3022, 1010, 1998, 2017, 2113, 2074, 1037, 27312, 2180, 2102, 4060, 2673, 2039, 1012, 2027, 2323, 2113, 2008, 1012, 2045, 2003, 2036, 1037, 3231, 2589, 2170, 2019, 2720, 21906, 1012, 1012, 1012, 2027, 2079, 2068, 1999, 17151, 11741, 2025, 2469, 2055, 2073, 2017, 2444, 1998, 2049, 2066, 2019, 14931, 13594, 2069, 3807, 2004, 2488, 1998, 2027, 2064, 2156, 2673, 1012, 10047, 1037, 3813, 24591, 1999, 2065, 2017, 2031, 3255, 2045, 2003, 2242, 3308, 1998, 1996, 2852, 3791, 2000, 2298, 2046, 2009, 17678, 2906, 2135, 1010, 2021, 2017, 2113, 2027, 2123, 2102, 2467, 2079, 1012, 1045, 2812, 2298, 2012, 2033, 1012, 1012, 1012, 2027, 2056, 1051, 2017, 2097, 2022, 7929, 2017, 2031, 6090, 16748, 10450, 7315, 1010, 2074, 2202, 3255, 4335, 1998, 1045, 2356, 2055, 2026, 8738, 1998, 2027, 2056, 1012, 1028, 1028, 1028, 3524, 2005, 2009, 1012, 1012, 1012, 1012, 1012, 2038, 2498, 2000, 2079, 2007, 2009, 1012, 1012, 1012, 1012, 10047, 4452, 2009, 2515, 1012, 1012, 1012, 1012, 2013, 2054, 1045, 2031, 20215, 1012, 1012, 1012, 1012, 2151, 14406, 2144, 2035, 2023, 1045, 2031, 2179, 2242, 2008, 2038, 2428, 3271, 1996, 3255, 1998, 1996, 19029, 1998, 1045, 2196, 2245, 2009, 2052, 1012, 1012, 1012, 1012, 4013, 26591, 2015, 1012, 1012, 1012, 2027, 2024, 8235, 1998, 2005, 2111, 2040, 2024, 18749, 22282, 2046, 3917, 4630, 2045, 2024, 11825, 2489, 4013, 26591, 2015, 1012, 1012, 1012, 2027, 2024, 2170, 1000, 5110, 2740, 4606, 1000, 3198, 2115, 15535, 1998, 2065, 2115, 7929, 2000, 3046, 2009, 1010, 2059, 2507, 2009, 1037, 1059, 11961, 2140, 2138, 1045, 2572, 2061, 5580, 1045, 2106, 1012, 2036, 2123, 2102, 2507, 2039, 7929, 1012, 1012, 1012, 2994, 2006, 2122, 2852, 2015, 2519, 1998, 2196, 2507, 2039, 1012, 1012, 1012, 2065, 1045, 2018, 1997, 2445, 2039, 2059, 1996, 10722, 20360, 2052, 2025, 1997, 2042, 2179, 1012, 1012, 1012, 1012, 1045, 2572, 5327, 1996, 9431, 2097, 2079, 2178, 9413, 21906, 2138, 2026, 2852, 2038, 3641, 2019, 14573, 2099, 2028, 1012, 1012, 2021, 1996, 9431, 2056, 2053, 3043, 2054, 2003, 2179, 2002, 2180, 2102, 2022, 2725, 2178, 2028, 1012, 1012, 1012, 2092, 2023, 2038, 2042, 2179, 1998, 10142, 2002, 2876, 2102, 2215, 2000, 2681, 2009, 1012, 1045, 2113, 1996, 3255, 1998, 6911, 2017, 2514, 1998, 2026, 2540, 3632, 2041, 2000, 2017, 2200, 2172, 1012, 2196, 2292, 2122, 2852, 2015, 2360, 2045, 2003, 2498, 3308, 2007, 2017, 2138, 2045, 2003, 1010, 2027, 2024, 6659, 1999, 2023, 29466, 1010, 9826, 1996, 3815, 1997, 2111, 1999, 1996, 2088, 2040, 2031, 6090, 16748, 10450, 7315, 1998, 1037, 10676, 2125, 2004, 4319, 24071, 26047, 3215, 2033, 1012, 2122, 2111, 2024, 1999, 5622, 23806, 3255, 1998, 9015, 9013, 2290, 1998, 2005, 1037, 2852, 2000, 2360, 2027, 2024, 2437, 2009, 2039, 2003, 1037, 2582, 15301, 2000, 2068, 1012, 2204, 6735, 7929, 1998, 2065, 2017, 2342, 2619, 2000, 2831, 2000, 2055, 2023, 1012, 1012, 1012, 2514, 2489, 2000, 3967, 2033, 2151, 2051, 2138, 1045, 2572, 2183, 2083, 1996, 2168, 2004, 2017, 1012, 1012, 1012, 1012, 1045, 2079, 2729, 1998, 1045, 2079, 3305, 1012, 1045, 2572, 2183, 2083, 1996, 6911, 2085, 1997, 2672, 2045, 2003, 2498, 2045, 1999, 2026, 17324, 2094, 1998, 2077, 2009, 2001, 2672, 2045, 2003, 2061, 20492, 12053, 2045, 1012, 1012, 1012, 1012, 2144, 2042, 22939, 26745, 5084, 2007, 1037, 13656, 1012, 1012, 1012, 2021, 4931, 2085, 10047, 5327, 2009, 2097, 2022, 2498, 1998, 2097, 2022, 3718, 1012, 1012, 1012, 2021, 2053, 19739, 12956, 2063, 1997, 2008, 1999, 2026, 2406, 1998, 1996, 2126, 1045, 2031, 2042, 5845, 2003, 10439, 4887, 2989, 1012, 1012, 1012, 1045, 2031, 6659, 4308, 3255, 2125, 1998, 2006, 1998, 2031, 2000, 3066, 2007, 2009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2057, 2031, 2464, 2129, 4441, 4828, 2081, 2440, 2012, 5643, 3672, 2005, 2158, 1521, 1055, 8254, 1012, 1996, 2736, 2147, 1997, 18434, 2003, 3143, 1012, 2070, 3980, 2085, 13368, 1024, 2003, 1996, 2012, 5643, 3672, 2005, 2035, 1010, 2030, 2003, 2009, 1037, 3132, 2012, 5643, 3672, 1029, 2024, 2035, 5552, 2030, 2074, 1996, 11322, 1029, 2024, 1996, 6666, 1997, 1996, 2012, 5643, 3672, 2363, 2007, 3785, 2030, 2302, 3785, 1029, 2348, 29013, 3227, 5993, 2055, 1996, 9347, 1997, 1996, 2012, 5643, 3672, 1010, 2045, 2003, 18185, 7175, 1996, 6698, 1998, 4646, 1997, 1996, 2012, 5643, 3672, 1012, 11130, 2964, 5443, 2849, 15830, 2964, 1996, 2048, 2364, 9208, 21386, 2015, 2006, 2023, 3043, 2024, 3615, 2000, 2004, 11130, 2964, 1998, 2849, 15830, 2964, 1010, 2044, 1996, 2048, 2273, 2040, 19788, 2037, 5328, 2006, 2023, 3395, 1012, 2198, 11130, 1006, 2251, 2184, 1010, 5018, 2683, 1516, 2089, 2676, 1010, 16734, 2549, 1007, 2001, 1037, 2413, 8330, 17200, 2076, 1996, 8330, 13708, 1998, 2001, 1037, 2430, 9722, 1997, 1996, 2291, 1997, 3017, 8006, 2170, 11130, 2964, 2030, 9114, 8006, 1012, 1999, 9810, 1010, 2010, 3757, 2119, 6296, 2060, 8330, 8711, 1998, 2058, 2051, 2081, 2008, 2103, 1037, 2350, 2486, 1999, 1996, 3659, 1997, 9114, 8006, 1012, 2002, 2003, 8228, 2005, 2010, 12209, 1998, 7896, 1010, 1999, 3327, 2005, 2010, 1520, 12769, 1997, 1996, 3017, 4676, 1521, 1012, 2328, 2006, 1996, 12209, 1997, 14060, 1006, 27878, 1011, 19540, 1007, 11130, 2964, 1521, 1055, 2364, 2702, 8454, 2024, 7680, 7849, 5084, 2046, 1019, 2364, 2685, 1006, 14801, 2006, 1996, 2279, 3931, 1007, 1012, 1523, 2508, 1006, 6213, 1007, 2849, 5498, 2271, 1006, 29185, 1011, 28058, 1007, 2001, 1037, 3803, 17200, 2040, 3273, 1010, 4036, 1010, 1998, 2776, 3631, 2007, 11130, 2964, 1012, 2002, 2001, 3391, 2012, 10238, 2007, 2198, 11130, 1521, 1055, 7902, 2006, 4895, 8663, 27064, 2602, 1998, 27149, 4519, 1012, 1996, 15374, 1997, 2079, 5339, 1006, 29029, 1011, 2539, 1007, 6118, 2128, 10354, 23141, 11087, 1011, 11130, 2964, 1999, 4668, 2000, 2849, 5498, 2271, 1521, 3652, 3747, 1012, 2004, 1037, 2765, 1010, 5606, 1997, 2849, 15830, 2015, 1517, 2036, 2124, 2004, 2128, 16563, 6494, 7666, 1517, 2020, 3718, 2013, 2037, 23134, 2015, 1012, 2021, 2849, 15830, 2964, 2001, 2025, 2000, 2022, 11438, 1012, 2049, 2844, 7902, 2006, 2489, 1011, 2097, 1010, 12611, 2005, 2035, 1010, 1998, 9507, 7028, 4519, 1010, 2506, 2000, 2022, 6383, 1010, 4531, 3383, 2049, 10473, 22488, 1999, 2198, 11482, 1012, 1524, 1006, 12082, 3393, 14321, 11890, 1010, 6887, 1012, 1040, 1012, 1010, 2934, 1010, 2381, 1997, 3017, 2245, 1010, 4514, 6583, 9057, 8625, 2267, 1007, 1996, 2350, 2702, 8454, 1997, 2849, 15830, 6772, 2024, 2036, 14801, 2006, 1996, 2206, 3931, 1012, 6854, 1010, 1996, 20401, 1997, 2122, 2048, 5328, 2031, 2579, 2070, 1997, 1996, 12209, 2000, 1996, 6034, 1998, 2009, 2038, 3303, 2172, 22364, 1998, 2407, 1999, 1996, 2277, 2058, 1996, 2627, 4693, 1012, 3017, 15641, 2803, 2052, 7166, 2646, 2019, 2849, 15830, 3233, 8400, 1010, 27329, 2075, 1996, 5415, 9347, 1997, 12611, 2005, 2035, 1010, 1998, 1996, 2489, 2097, 3601, 1997, 2035, 2000, 5138, 2643, 1521, 1055, 24665, 20113, 9347, 1012, 1996, 9347, 1010, 6698, 1998, 4646, 1997, 1996, 2012, 5643, 3672, 9347, 1516, 7746, 12601, 1523, 1996, 22481, 2265, 2008, 1996, 2417, 6633, 24971, 2147, 1997, 4828, 2001, 2081, 2006, 6852, 1997, 2035, 14938, 1012, 2053, 2028, 2097, 2022, 3459, 2046, 3109, 2138, 4828, 2106, 2025, 3280, 2005, 2068, 1010, 2021, 2138, 2027, 5837, 2643, 1521, 1055, 3749, 1997, 12611, 1999, 4828, 1012, 1524, 1523, 10100, 1997, 3017, 8998, 1524, 1010, 4901, 1046, 17639, 1996, 22481, 2191, 2009, 3154, 2008, 4441, 2081, 9347, 2005, 2035, 2111, 1999, 2010, 2012, 13369, 8688, 1024, 1016, 2522, 6657, 15222, 6962, 1019, 1024, 2321, 1523, 2002, 2351, 2005, 2035, 1012, 1524, 6836, 2015, 1016, 1024, 1023, 1523, 2002, 1010, 2011, 1996, 4519, 1997, 2643, 1010, 12595, 2331, 2005, 3071, 1012, 1524, 2198, 1017, 1024, 2385, 2643, 2435, 2010, 2365, 2005, 1523, 2040, 6499, 22507, 7164, 1999, 2032, 1524, 1012, 2198, 1015, 1024, 2756, 1996, 12559, 1997, 2643, 3138, 2185, 1996, 8254, 1997, 1996, 2088, 1012, 1015, 5199, 2475, 1024, 1018, 1025, 1016, 9004, 1017, 1024, 1023, 2643, 2003, 2025, 5627, 2008, 2151, 2323, 2566, 4509, 1012, 1015, 2198, 1016, 1024, 1016, 1025, 1018, 1024, 2184, 4828, 2003, 1996, 17678, 29050, 3508, 2005, 1996, 15516, 1997, 1996, 2878, 2088, 1012, 2061, 1996, 22481, 2265, 2008, 1996, 9347, 1997, 12611, 2005, 2035, 2273, 2038, 2042, 2081, 1010, 2174, 2025, 2035, 2097, 2022, 5552, 2138, 1997, 2037, 4895, 8671, 2666, 2546, 1998, 13948, 2000, 16360, 4765, 1006, 28743, 3943, 1024, 2340, 1010, 2198, 1019, 1024, 2871, 1007, 1012, 2158, 2003, 1037, 2489, 1011, 2097, 4005, 1998, 2061, 2003, 2489, 2000, 5138, 2030, 15454, 1996, 12611, 1010, 2029, 2002, 1999, 2053, 2126, 17210, 2030, 2071, 2412, 7857, 1006, 4958, 15689, 7066, 1016, 1024, 1018, 1011, 1023, 1007, 1012, 1996, 7082, 2126, 2000, 12611, 2003, 2000, 4374, 1998, 5138, 2009, 2004, 1037, 2489, 5592, 2011, 4752, 1012, 4646, 1516, 2529, 5368, 4828, 2004, 7842, 25500, 3126, 19764, 2091, 1996, 3785, 2006, 2029, 12611, 2089, 2022, 5281, 1012, 1996, 2206, 13768, 2391, 2041, 1996, 7835, 2090, 1996, 9347, 1998, 4646, 1997, 1996, 2012, 5643, 3672, 1012, 1015, 10805, 1018, 1024, 2184, 1012, 2002, 2003, 1996, 7842, 25500, 3126, 1997, 2035, 2273, 1006, 9347, 1007, 1010, 2926, 1997, 2216, 2040, 2903, 1006, 4646, 1007, 1012, 2198, 1017, 1024, 2385, 1012, 2005, 2643, 2061, 3866, 1996, 2088, 2008, 2002, 2435, 2010, 2069, 11693, 28495, 2078, 2365, 1006, 9347, 1007, 1010, 2008, 9444, 7164, 1999, 2032, 1006, 4646, 1007, 2323, 2025, 2566, 4509, 1010, 2021, 2031, 2412, 8523, 3436, 2166, 1012, 6836, 2015, 1019, 1024, 1023, 4828, 2003, 1996, 3166, 1997, 10721, 12611, 1006, 9347, 1007, 2000, 2035, 2040, 15470, 2032, 1006, 4646, 1007, 1012, 10900, 1017, 1024, 2484, 1011, 2656, 1012, 2045, 2003, 4519, 1998, 18434, 1999, 4828, 1006, 9347, 1007, 1998, 2061, 2643, 2064, 2022, 2074, 1998, 1996, 2074, 18095, 1997, 2035, 2216, 2040, 2903, 1999, 4441, 1006, 4646, 1007, 1012, 2061, 1996, 22481, 2036, 2110, 2008, 2012, 13369, 2147, 1997, 4828, 2003, 3132, 2000, 2216, 2040, 16360, 4765, 1997, 2037, 15516, 1998, 2903, 1996, 8036, 1998, 3404, 1999, 4828, 2004, 2037, 7842, 25500, 3126, 1998, 2935, 1012, 2057, 2442, 1010, 2174, 2562, 1037, 5703, 2090, 5932, 9347, 1998, 2158, 1521, 1055, 3433, 1012, 2065, 7746, 9347, 2003, 2058, 1011, 7902, 2098, 2009, 2064, 2599, 2000, 10611, 2964, 1010, 2065, 2529, 4646, 2003, 2058, 1011, 7902, 2098, 2009, 2064, 2599, 2000, 1037, 8998, 1997, 2573, 1012, 1996, 12601, 1997, 2643, 1998, 2529, 5368, 2442, 2022, 2921, 1999, 1037, 5372, 7339, 1012, 2602, 1010, 3653, 6155, 13770, 3508, 1998, 4214, 4415, 1010, 12611, 2003, 2800, 2000, 2035, 1010, 2664, 2025, 2035, 2097, 2022, 5552, 1012, 2083, 2010, 4519, 1006, 1996, 6151, 6810, 2099, 7178, 1010, 4895, 5017, 17572, 1998, 16655, 2906, 7228, 7927, 1997, 2643, 17398, 2588, 8254, 3993, 2158, 1007, 2643, 2018, 3024, 1037, 2126, 1997, 12611, 2005, 2035, 2111, 1997, 2296, 2287, 1010, 1998, 2009, 2003, 2069, 2011, 1996, 4519, 1997, 2643, 2008, 3087, 2003, 5552, 1012, 2643, 2038, 24906, 2023, 4519, 2000, 2035, 2273, 1998, 2061, 2158, 2003, 2302, 8016, 1006, 18828, 1016, 1024, 2340, 1010, 10900, 1015, 1024, 2322, 1007, 1012, 1996, 22481, 2425, 2149, 2174, 2008, 2069, 1996, 1520, 11322, 1521, 2097, 2022, 5552, 1012, 1996, 9347, 2003, 5415, 1999, 9531, 1010, 2021, 1996, 4646, 2003, 3132, 2000, 2216, 3183, 2643, 2038, 2700, 2000, 10721, 2166, 1012, 2129, 2064, 2122, 23019, 2022, 28348, 1029, 1996, 2602, 1997, 2643, 1999, 2049, 21304, 3574, 1010, 2602, 2965, 1996, 6808, 1010, 2832, 1998, 2765, 1997, 2437, 1037, 3601, 1012, 1996, 6836, 2773, 2003, 1523, 8670, 26291, 21030, 2099, 1524, 2029, 2965, 1523, 2000, 7276, 1010, 5454, 2030, 1996, 2711, 4217, 1012, 1524, 1996, 3306, 2773, 2003, 1523, 23969, 2571, 6593, 2891, 1524, 1998, 2965, 1523, 3856, 2041, 1010, 4217, 2011, 2643, 1012, 1524, 2040, 2024, 1996, 11322, 1029, 1037, 4766, 2817, 1997, 1996, 22481, 7657, 15298, 23019, 4953, 5919, 1997, 2643, 1521, 1055, 2602, 1012, 1996, 2206, 2024, 4973, 1997, 2216, 1520, 2700, 1521, 2030, 4217, 2011, 2643, 1024, 1011, 4828, 2003, 2643, 1521, 1055, 11322, 1012, 1015, 2848, 1016, 1024, 1018, 1010, 1020, 1012, 1011, 1996, 7048, 2008, 2106, 2025, 2991, 2024, 11322, 1012, 1015, 10805, 1019, 1024, 2538, 1012, 1011, 3956, 1999, 1996, 1051, 1012, 1056, 1012, 2003, 1996, 11322, 3842, 1012, 17083, 2340, 1024, 2654, 1010, 2139, 4904, 1012, 1021, 1024, 1020, 1012, 1011, 9952, 2003, 2170, 2643, 1521, 1055, 11322, 1012, 22728, 10114, 1024, 2603, 1012, 1011, 8656, 2020, 4217, 2004, 2643, 1521, 1055, 11322, 1012, 2139, 19901, 17175, 8029, 2538, 1024, 1019, 1012, 1011, 5465, 2020, 2036, 2700, 1010, 2107, 2004, 2585, 1998, 16897, 1012, 1015, 21559, 2184, 1024, 2484, 1010, 1015, 2818, 4948, 2654, 1024, 1018, 1011, 1020, 1012, 1011, 23172, 2020, 4217, 2011, 2643, 1012, 17526, 1015, 1024, 1019, 1012, 1011, 19178, 2020, 4217, 2011, 1996, 2935, 1012, 5355, 1020, 1024, 2410, 1010, 1046, 2078, 2321, 1024, 2385, 1010, 2552, 1023, 1024, 2321, 1012, 1011, 1996, 2277, 2003, 5932, 11322, 1012, 5355, 2324, 1024, 1021, 1010, 17083, 1022, 1024, 3943, 1010, 1015, 27108, 1015, 1024, 2676, 1011, 2654, 1010, 4958, 2232, 1015, 1024, 1018, 1010, 8902, 1017, 1024, 2260, 1010, 1015, 24138, 1015, 1024, 1018, 1010, 1016, 3775, 18938, 10536, 1016, 1024, 2184, 1010, 1016, 2848, 1015, 1024, 2184, 1012, 4415, 1996, 2773, 1523, 11322, 1524, 5218, 2000, 2536, 3924, 2040, 2020, 4217, 2011, 2643, 2005, 3563, 5682, 1012, 2025, 2035, 1997, 2216, 2040, 2020, 4217, 2011, 2643, 2020, 9352, 2700, 2000, 10721, 2166, 2174, 1012, 2006, 3931, 23628, 1997, 1520, 10100, 1997, 3017, 8998, 1010, 4901, 17639, 11859, 1996, 2048, 5664, 5919, 1997, 2602, 2004, 3936, 1999, 18919, 1012, 2122, 2024, 1024, 1015, 1012, 1996, 2602, 1997, 2051, 1012, 2023, 2003, 2019, 2602, 2005, 5741, 5682, 1010, 3251, 3893, 2030, 4997, 1012, 2643, 4900, 2536, 3633, 1998, 3741, 2000, 11865, 10270, 4014, 2010, 5682, 1999, 7189, 2000, 2051, 1024, 9952, 1010, 22089, 1010, 16123, 1010, 3956, 1010, 4632, 20379, 1010, 17690, 1010, 1998, 2703, 2024, 4973, 1997, 2023, 1012, 1016, 1012, 1996, 2602, 1997, 12715, 1012, 2023, 2003, 2019, 2602, 5994, 10721, 10461, 1010, 2006, 1996, 3978, 1997, 4519, 1012, 2043, 4092, 1997, 2602, 1999, 7189, 2000, 12611, 1010, 2057, 2812, 1996, 11074, 2552, 1997, 2643, 1521, 1055, 4519, 13557, 2002, 4900, 3056, 3633, 2013, 2426, 14938, 1010, 3183, 2002, 18921, 2243, 2638, 2860, 2052, 5138, 2010, 2365, 1521, 1055, 3749, 1997, 12611, 1012, 2643, 2003, 2104, 2053, 14987, 2000, 11322, 2151, 2711, 1010, 1998, 2045, 2003, 2498, 1997, 7857, 1999, 4205, 1521, 1055, 5357, 2679, 2008, 7670, 2643, 5454, 3087, 2012, 2035, 1012, 2602, 2003, 3568, 9578, 1037, 11074, 2552, 1997, 2643, 1521, 1055, 4519, 1998, 8673, 1010, 1998, 2003, 2069, 12711, 1523, 1999, 4828, 1524, 1012, 2138, 4828, 2038, 2081, 2012, 5643, 3672, 2005, 8254, 3993, 2158, 1010, 1998, 2053, 2158, 1999, 1998, 1997, 2370, 2064, 7461, 2010, 2219, 12611, 1010, 2009, 2003, 2069, 1999, 1998, 2083, 4828, 2008, 3087, 2064, 2022, 1520, 4217, 1521, 2030, 5552, 1012, 2602, 1998, 18921, 2243, 19779, 3709, 3351, 2012, 2034, 6054, 1996, 8998, 1997, 2602, 2064, 4025, 15571, 1012, 2129, 2064, 2643, 1010, 2040, 2003, 1520, 2053, 4847, 2121, 1997, 5381, 1521, 12098, 16313, 19848, 6588, 4060, 2041, 2070, 2000, 2022, 5552, 1010, 1998, 2500, 2000, 5247, 2019, 12715, 1999, 1037, 5255, 3109, 1029, 2009, 2003, 2069, 2043, 2057, 10667, 6748, 1998, 5136, 2054, 1996, 22481, 6570, 1999, 15700, 7175, 2023, 2181, 2008, 2057, 4088, 2000, 22346, 1996, 2832, 1997, 2602, 1012, 2602, 1010, 2429, 2000, 1996, 22481, 1010, 2003, 2241, 2006, 2643, 1521, 1055, 18921, 2243, 19779, 3709, 3351, 1012, 1996, 3306, 2773, 2005, 1523, 18921, 2243, 19779, 1524, 2003, 1523, 4013, 11528, 2891, 3683, 1524, 1998, 2965, 1523, 2000, 2113, 25828, 1524, 1012, 2009, 5218, 2000, 2643, 1521, 1055, 3754, 2000, 6669, 2113, 1996, 2925, 1012, 1011, 4828, 2001, 18921, 2243, 19779, 2078, 1998, 18921, 8551, 18175, 2094, 2000, 3280, 1012, 4490, 1016, 1024, 2603, 1010, 1015, 2848, 1015, 1024, 2322, 1012, 1011, 3956, 2001, 18921, 2243, 19779, 2078, 2004, 2643, 1521, 1055, 29520, 2111, 1012, 10900, 2340, 1024, 1016, 1012, 1011, 1996, 2277, 2003, 18921, 2243, 19779, 2078, 2036, 1012, 10900, 1022, 1024, 2756, 1011, 2382, 1010, 1015, 2848, 1015, 1024, 1015, 1011, 1016, 1012, 1996, 22481, 7933, 2918, 2643, 1521, 1055, 2602, 2588 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1006, 5268, 1997, 4828, 2006, 1037, 3260, 1007, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 2003, 1015, 1013, 1017, 3910, 1998, 2343, 1997, 1996, 2501, 3830, 2055, 2227, 2189, 2177, 1010, 11775, 2631, 1999, 2281, 2249, 1012, 2096, 2725, 3017, 2189, 2144, 2294, 2002, 2038, 2018, 1996, 3754, 2000, 3604, 4969, 2000, 3032, 2107, 2004, 1996, 4549, 1010, 2762, 1010, 5706, 1010, 2142, 2983, 1010, 3163, 1010, 2148, 4420, 1010, 5978, 1010, 3577, 1010, 3304, 1010, 2605, 1998, 1996, 2142, 2163, 9359, 1996, 8036, 1997, 4441, 4828, 999, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 2747, 11665, 1999, 9925, 1010, 3516, 1012, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 1005, 1055, 6745, 3729, 1000, 2055, 2227, 1000, 7860, 2010, 13810, 2000, 3945, 2037, 8072, 1998, 11628, 2037, 3679, 3268, 2004, 2057, 2444, 1999, 1037, 2088, 2440, 1997, 8254, 1010, 7897, 1998, 22040, 1012, 2055, 2227, 7860, 2017, 2000, 2735, 2013, 8254, 1998, 1996, 4768, 1997, 2023, 2088, 2046, 1996, 2422, 1997, 4441, 4828, 2011, 2542, 2041, 1998, 4292, 2019, 2742, 2007, 2256, 3268, 2006, 1037, 3679, 3978, 1012, 2009, 2003, 2011, 4519, 2083, 4752, 2008, 2057, 2024, 5552, 1998, 2025, 1997, 9731, 999, 2009, 2003, 1037, 5592, 2013, 2643, 1998, 2057, 2442, 3945, 1998, 11628, 9731, 1998, 3328, 2041, 2256, 3268, 1999, 2023, 2088, 2008, 2057, 2444, 2006, 1037, 3679, 3978, 999, 4958, 15689, 7066, 1011, 1016, 1024, 1022, 2010, 3025, 7085, 1000, 10709, 8294, 1000, 1010, 1000, 2983, 2189, 1000, 1010, 1523, 22794, 5508, 1524, 1998, 1523, 2051, 5833, 1524, 2038, 2275, 1996, 3347, 1999, 1996, 3068, 2011, 2037, 3112, 1998, 2038, 2830, 2032, 1996, 4495, 2000, 2147, 2247, 2217, 1997, 2070, 1997, 1996, 3068, 1521, 1055, 2327, 3063, 1521, 1055, 2164, 1024, 3393, 26775, 6679, 1010, 8770, 3557, 1010, 14559, 2482, 12032, 2072, 1010, 4309, 2595, 1010, 1056, 1011, 2018, 5149, 1010, 26220, 13109, 2080, 3839, 1997, 8899, 9293, 1010, 1047, 1011, 3689, 1010, 1040, 1011, 5003, 12083, 1010, 4440, 3389, 1010, 6945, 12914, 2072, 1010, 6175, 4519, 1010, 2000, 19182, 6097, 1998, 2116, 2062, 1012, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 2038, 3130, 2042, 4222, 1999, 1017, 3584, 7236, 2005, 1996, 3146, 4151, 5099, 6154, 6344, 2982, 1998, 2036, 1037, 6488, 2005, 1996, 17227, 2982, 2007, 2010, 3311, 2006, 8036, 17260, 9389, 2015, 3872, 2462, 1010, 3794, 1996, 2299, 1523, 2202, 2009, 2000, 1996, 2277, 10258, 16506, 1524, 1012, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 2001, 3728, 4222, 1998, 2180, 3017, 5099, 6154, 3063, 1997, 1996, 2095, 2083, 1996, 11839, 4371, 5387, 7243, 3601, 2982, 2241, 2041, 1997, 5865, 1010, 11721, 1998, 2001, 3083, 5479, 2039, 1999, 1996, 3452, 2882, 9599, 2041, 1997, 5539, 1009, 3324, 4969, 1012, 1055, 1012, 1051, 1012, 1039, 1012, 1051, 1012, 1049, 1012, 2001, 2036, 4222, 1999, 1018, 7236, 2005, 1996, 6348, 1997, 8036, 2982, 1999, 2297, 2029, 2003, 1996, 3822, 2922, 3017, 2982, 2265, 1999, 1996, 2088, 999, 3967, 1998, 21725, 18558, 1024, 10373, 1030, 2742, 1012, 4012, 4816, 2811, 8934, 1006, 4958, 2243, 1007, 1024, 7479, 1012, 12728, 17062, 2015, 1012, 4012, 1013, 27084, 5358, 2019, 1999, 13976, 7028, 2711, 2003, 2028, 2040, 2003, 4895, 7011, 16281, 1999, 12353, 2030, 3169, 1012, 2107, 2003, 1996, 2189, 1998, 3757, 1997, 3782, 1523, 1039, 1011, 17665, 1524, 6384, 1012, 3652, 2039, 1999, 1996, 2277, 1010, 1039, 1011, 17665, 9741, 1996, 3969, 7494, 2373, 1997, 2643, 1012, 3225, 1999, 2010, 2219, 2188, 1010, 1039, 1011, 17665, 3427, 2010, 3008, 2994, 1999, 10768, 2099, 15338, 7083, 6224, 1996, 3971, 1997, 2643, 3228, 2039, 1996, 2477, 1997, 1996, 2088, 1012, 2037, 10896, 2018, 1037, 2844, 4254, 2006, 2032, 2061, 2172, 2008, 2044, 2152, 2082, 2002, 3230, 1054, 28433, 6331, 2267, 1012, 2174, 1010, 1996, 3151, 23134, 2001, 2025, 2073, 2643, 2359, 1039, 1011, 17665, 2000, 25250, 1012, 2074, 2004, 4441, 2109, 1037, 4049, 2000, 6570, 1996, 20889, 1010, 1039, 1011, 17665, 3594, 2010, 23025, 1012, 2196, 4209, 2008, 2011, 2635, 1037, 5379, 6655, 2000, 9680, 2007, 2814, 1010, 1039, 1011, 17665, 1521, 1055, 4828, 23025, 2419, 2032, 2000, 3659, 1996, 8036, 7587, 1998, 3745, 1996, 2754, 2007, 3017, 8366, 2015, 2066, 1996, 18749, 16652, 1010, 4830, 3606, 1010, 7441, 3409, 1010, 1996, 2044, 2015, 1010, 2720, 1012, 3972, 1010, 2177, 1015, 3626, 1010, 8770, 3557, 1010, 1004, 2116, 2062, 1012, 2002, 2003, 2956, 2006, 1996, 2268, 1998, 2230, 4151, 5099, 6154, 6268, 1998, 1047, 1011, 3689, 1521, 1055, 2057, 4906, 1024, 1996, 27090, 2933, 1012, 2002, 2001, 2315, 2286, 3063, 1997, 1996, 2095, 2012, 1996, 8499, 14081, 4151, 5099, 3034, 1010, 2249, 4151, 5099, 6154, 3932, 4402, 1998, 1037, 2268, 21848, 2400, 2005, 2190, 13675, 16814, 2309, 1012, 2002, 2036, 3728, 2272, 2125, 1997, 2010, 2034, 2248, 2778, 2007, 2010, 3830, 1010, 2055, 2227, 2189, 2177, 1012, 7118, 2000, 1996, 2647, 3032, 1997, 2762, 1998, 5706, 1012, 2036, 3728, 8019, 1999, 11839, 4371, 14081, 8036, 3178, 10855, 2982, 7083, 6350, 2286, 1012, 2664, 1010, 2007, 2035, 2122, 2529, 27447, 1010, 1039, 1011, 17665, 2003, 2069, 4986, 2007, 1996, 16581, 19054, 1010, 2000, 2191, 17102, 2041, 1997, 2273, 1010, 2308, 1998, 2336, 1998, 6336, 4828, 2000, 1996, 2440, 4355, 1012, 2022, 2006, 1996, 19052, 2005, 2010, 2047, 2622, 8287, 2023, 2621, 4159, 1000, 4752, 2189, 1000, 2029, 2003, 16036, 2000, 2022, 2028, 1997, 1039, 1011, 17665, 1005, 1055, 2190, 7085, 2000, 3058, 999, 9301, 1996, 5998, 1998, 3255, 2306, 2651, 1005, 1055, 3226, 1010, 2823, 2009, 1005, 1055, 2524, 2000, 2156, 1996, 2422, 2012, 1996, 2203, 1997, 1996, 5234, 1010, 2009, 1005, 1055, 2524, 2000, 2022, 1037, 2422, 5129, 2011, 2061, 2172, 4768, 1010, 2021, 1999, 1996, 12930, 1997, 4768, 2003, 2043, 1996, 2422, 12342, 2015, 1996, 2087, 1012, 2058, 1996, 2086, 1005, 1005, 2879, 2180, 2850, 1005, 1005, 2038, 2081, 2010, 2928, 2306, 1996, 2189, 3068, 6706, 8218, 1010, 1998, 2000, 2928, 2130, 1037, 7046, 19199, 2038, 2318, 2010, 2219, 2194, 1006, 3830, 1007, 2053, 23088, 2053, 8294, 2189, 2177, 2241, 2041, 1997, 2430, 13109, 2050, 1012, 8550, 3112, 2001, 2196, 2019, 3733, 4708, 1010, 1998, 2009, 2790, 2066, 1996, 3020, 2002, 2253, 1996, 2062, 4748, 14028, 3012, 1998, 3255, 2002, 5281, 1012, 1005, 1005, 2111, 2024, 11878, 7249, 1998, 2031, 2053, 2028, 2027, 2064, 2735, 2000, 2030, 9530, 20740, 1999, 1998, 1045, 2074, 2359, 2000, 3745, 2026, 3255, 2007, 2068, 2000, 2292, 2068, 2113, 2008, 2027, 1005, 2128, 2025, 2894, 2008, 2057, 2035, 2175, 2083, 2021, 2129, 2025, 2000, 2994, 2091, 1998, 4553, 2000, 2131, 2067, 2039, 1998, 2868, 2153, 1999, 1996, 12930, 1997, 2183, 2083, 1996, 3255, 1005, 1005, 2758, 2879, 2180, 2850, 1012, 2542, 1999, 1037, 2103, 2073, 5850, 1010, 3348, 1998, 4808, 2790, 2000, 2022, 2770, 13276, 3593, 1010, 2004, 1037, 2775, 2002, 17749, 6715, 2015, 6230, 2296, 5353, 2138, 1997, 1996, 4808, 2008, 2001, 2183, 2006, 2000, 2073, 2009, 2150, 1996, 13373, 1010, 2000, 2073, 2017, 2020, 5845, 2004, 2019, 21002, 10078, 2505, 2008, 2347, 1005, 1056, 10043, 2000, 2054, 2027, 3373, 1999, 1012, 4089, 2002, 2071, 2031, 2042, 14177, 2039, 2011, 2651, 1005, 1055, 3226, 1010, 2770, 1996, 4534, 1010, 3352, 1037, 28093, 6553, 1010, 1037, 4031, 1997, 2010, 2219, 4044, 1010, 2021, 2002, 4900, 1037, 2367, 4130, 1010, 1037, 4130, 2000, 2191, 1037, 4489, 1010, 2000, 2393, 2689, 2111, 1005, 1055, 3268, 1010, 2000, 8627, 1998, 2039, 18412, 1010, 1998, 2022, 2613, 2007, 2216, 2002, 20626, 2370, 2030, 2272, 1999, 3967, 2007, 1012, 1999, 2268, 2879, 2180, 2850, 2772, 2000, 2613, 2773, 2636, 1998, 3333, 2010, 2834, 4958, 1005, 1005, 2958, 1996, 6578, 1005, 1005, 3859, 2044, 2029, 2441, 2039, 6695, 2000, 2778, 1996, 2264, 3023, 1010, 7510, 2048, 2189, 2678, 1005, 1055, 1006, 13407, 1004, 1045, 2145, 11320, 2615, 8038, 1007, 1010, 11847, 1996, 4540, 1997, 9389, 1996, 1044, 18863, 2007, 2010, 2834, 2309, 1006, 2404, 2032, 1999, 8038, 2250, 1007, 1996, 5221, 2309, 2000, 3058, 2108, 1999, 3082, 9963, 2006, 1996, 1001, 1015, 13889, 2557, 2276, 2306, 2256, 6907, 1012, 2879, 2180, 2850, 2001, 2036, 4778, 2004, 1037, 2569, 4113, 2000, 1996, 20917, 10855, 2982, 2044, 2283, 1999, 8423, 1010, 28286, 2004, 2092, 2004, 1037, 9256, 2012, 1996, 17227, 2982, 2044, 2283, 6631, 1996, 2754, 2007, 2070, 1997, 2115, 5221, 3324, 2651, 1006, 4830, 3606, 1010, 8770, 3557, 1010, 21677, 1010, 9893, 5405, 3781, 1012, 9875, 1052, 1011, 12931, 1010, 8457, 1010, 7256, 3576, 1010, 12170, 17644, 1006, 2643, 2058, 2769, 1007, 1010, 2023, 1005, 1048, 1010, 2057, 2444, 2004, 5465, 1010, 2591, 2252, 1010, 1040, 1011, 5003, 12083, 1007, 1010, 1998, 2116, 2062, 1012, 1012, 1012, 1012, 1012, 2057, 7933, 2202, 6620, 1999, 8677, 9731, 2011, 2108, 1037, 3893, 3747, 1010, 11434, 2060, 1005, 1055, 2000, 9510, 1999, 2166, 1998, 2599, 2068, 2006, 1996, 2346, 2000, 3112, 2011, 1010, 2206, 2037, 5544, 1010, 1998, 3228, 2068, 8606, 2083, 2189, 1998, 4285, 1996, 2451, 1012, 2004, 2057, 6718, 2039, 2005, 2256, 2834, 1999, 1996, 2189, 3068, 2256, 3125, 2003, 2000, 2191, 2019, 4254, 2006, 1996, 2088, 2007, 2023, 9530, 15900, 6313, 2929, 2000, 18708, 2500, 2000, 23088, 2005, 1005, 1005, 2010, 1005, 1005, 8294, 1012, 2017, 2064, 5309, 1005, 1005, 2026, 3255, 1005, 1005, 2182, 1024, 10299, 2189, 1024, 10299, 1012, 14163, 1013, 1055, 2692, 2480, 2575, 2050, 11943, 1024, 8299, 1024, 1013, 1013, 12456, 3126, 2140, 1012, 4012, 1013, 2012, 2232, 26291, 9733, 1024, 8299, 1024, 1013, 1013, 12456, 3126, 2140, 1012, 4012, 1013, 1057, 2100, 2549, 14289, 8224, 2377, 1024, 8299, 1024, 1013, 1013, 12456, 3126, 2140, 1012, 4012, 1013, 1038, 2480, 21693, 2232, 3962, 8757, 1024, 8299, 1024, 1013, 1013, 12456, 3126, 2140, 1012, 4012, 1013, 1042, 2549, 3723, 2100, 2141, 9659, 9004, 3334, 8202, 3781, 9875, 6969, 2100, 1996, 17849, 2041, 1997, 9925, 3016, 13109, 1010, 2023, 3063, 1998, 2704, 2003, 1037, 3129, 1998, 2269, 2008, 2038, 1037, 2540, 2371, 3800, 1998, 6896, 2000, 3362, 1996, 11678, 2113, 3043, 1996, 2287, 5787, 1010, 2946, 1997, 1996, 4306, 1010, 2030, 2173, 2007, 1037, 4471, 1997, 3246, 1010, 2293, 1010, 1998, 4752, 1999, 4441, 4828, 2083, 2010, 2189, 1998, 4092, 20583, 1012, 3652, 2039, 2302, 1037, 2995, 3747, 1997, 1037, 2269, 3275, 1999, 1996, 2188, 6969, 2100, 2001, 4320, 2007, 2108, 2579, 2185, 2013, 2010, 3566, 1998, 2155, 2012, 1037, 2402, 2287, 2138, 1997, 6905, 2013, 2010, 3357, 2269, 1998, 2001, 2872, 1999, 1037, 6469, 2188, 2073, 2002, 2001, 7887, 11248, 2005, 2010, 3663, 1998, 2081, 2000, 2514, 22692, 2004, 1037, 2402, 2158, 1999, 2023, 2601, 2088, 1012, 2007, 2010, 7133, 2108, 1996, 2067, 5923, 1997, 2010, 2155, 2016, 2787, 2000, 2191, 1996, 8688, 1998, 2202, 2032, 2104, 2014, 9062, 3358, 1012, 3652, 2039, 2007, 1996, 9273, 3388, 1997, 13893, 1998, 2540, 2440, 1997, 16021, 8586, 29366, 6969, 2100, 2001, 4567, 2000, 3183, 22507, 1998, 3649, 2052, 5138, 2032, 1012, 2002, 2001, 3107, 2000, 5850, 1998, 19378, 2012, 2019, 2220, 2287, 1998, 2001, 2411, 6476, 2041, 1997, 2082, 2005, 13219, 15616, 1012, 2002, 2001, 3714, 2006, 1996, 2503, 1998, 2066, 2087, 2060, 3360, 1999, 2008, 4245, 2074, 2001, 2667, 2000, 4906, 1999, 1998, 2022, 2464, 1998, 3970, 2011, 2500, 1012, 2044, 2893, 2046, 1037, 2978, 2205, 2172, 4390, 1998, 2108, 4727, 2005, 2844, 4273, 13742, 6969, 2100, 1005, 1055, 3566, 2633, 2165, 2032, 2067, 1999, 1012, 2021, 2002, 2018, 2053, 4847, 2005, 3691, 2030, 2216, 2008, 2020, 2275, 1999, 2173, 2000, 17946, 2058, 2010, 2166, 2012, 2008, 2391, 1012, 2002, 11248, 2010, 3566, 2005, 1996, 2799, 2010, 2166, 2018, 2253, 1999, 2005, 8811, 2127, 2002, 8271, 1998, 9557, 1996, 4157, 13435, 1997, 2010, 2219, 12051, 1998, 6567, 1998, 2108, 2081, 2000, 5382, 2008, 2035, 2024, 3625, 2005, 1996, 3329, 4084, 2027, 2202, 1998, 7323, 1999, 2166, 1012, 2010, 3566, 2052, 3046, 2635, 2032, 2000, 2277, 2000, 2156, 2477, 2013, 1037, 2367, 7339, 1998, 2022, 2105, 4268, 2010, 2287, 2021, 3904, 1997, 1996, 3008, 2359, 2037, 2336, 2105, 2032, 2138, 1997, 2010, 5891, 1012, 2023, 2404, 1037, 2919, 21555, 1999, 2010, 2540, 2875, 1996, 2277, 1998, 2002, 15926, 2098, 2046, 1996, 2395, 2166, 2725, 1998, 4855, 5850, 1010, 2183, 2041, 2000, 2536, 4127, 1997, 2252, 5019, 1010, 1998, 2770, 2007, 1996, 3308, 12783, 1012, 2012, 2070, 2391, 2295, 6969, 2100, 2211, 2000, 2156, 2129, 2540, 3238, 1998, 4064, 2002, 2001, 1998, 2052, 2411, 2228, 2588, 1996, 2158, 4441, 2010, 3566, 2052, 2031, 2032, 2000, 11839, 2205, 1998, 3191, 2055, 2077, 2016, 2288, 2920, 2007, 2014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 12731, 2278, 4372, 7974, 2015, 1024, 2089, 2423, 1010, 25682, 1516, 3277, 14677, 1999, 2023, 3277, 1024, 1011, 3661, 2013, 1058, 25688, 2050, 1011, 4105, 22166, 2012, 1996, 12731, 2278, 1011, 7065, 1012, 2928, 9959, 1011, 7305, 8267, 5000, 2400, 1011, 7065, 1012, 4776, 12852, 1521, 1055, 13693, 8835, 3084, 2005, 11973, 6594, 1011, 1037, 2126, 2830, 2005, 1996, 5893, 6958, 2832, 1011, 6631, 2256, 4752, 1998, 9208, 2495, 8624, 3018, 1011, 14719, 2705, 1998, 13372, 2177, 8267, 9716, 4597, 2400, 1011, 2117, 2095, 3112, 2005, 6187, 9759, 2819, 1010, 2019, 3784, 3360, 3034, 1011, 16055, 2006, 7241, 1011, 10112, 25477, 2015, 8439, 9150, 2704, 1011, 12731, 2278, 1521, 1055, 2034, 7484, 3034, 1037, 3112, 1011, 1999, 24443, 25557, 1024, 7065, 1012, 2798, 3968, 10521, 1011, 2054, 1521, 1055, 2437, 2149, 2868, 1011, 9046, 2824, 3602, 1024, 1996, 4372, 7974, 2015, 2097, 2272, 2041, 2320, 1999, 2119, 2238, 1998, 2257, 1998, 2097, 2202, 1037, 10885, 1999, 2251, 1012, 3661, 2013, 1058, 25688, 2050, 1523, 2045, 2003, 2053, 2373, 2005, 2689, 3618, 2084, 1037, 2451, 13648, 2054, 2009, 14977, 2055, 1012, 1524, 1516, 5545, 1046, 10500, 3051, 25477, 2015, 2031, 1037, 2146, 2381, 1997, 20324, 2005, 2591, 3425, 1012, 2013, 28112, 2000, 3061, 2600, 1010, 2057, 2031, 2768, 4077, 14785, 3550, 4279, 1999, 2490, 1997, 2256, 6481, 1012, 2057, 2018, 11886, 2005, 12010, 4160, 2475, 2015, 1009, 2916, 1010, 3601, 1999, 5996, 1010, 1998, 2005, 1996, 2916, 1997, 2308, 2000, 2031, 2491, 2058, 2037, 2219, 4230, 1012, 2138, 1997, 2256, 4506, 1010, 2070, 2590, 3431, 2031, 4158, 1012, 2021, 2045, 2024, 2036, 3971, 1999, 2029, 2057, 2031, 5357, 2460, 1012, 2004, 1996, 3728, 2207, 3189, 2011, 1996, 4487, 11512, 15073, 14398, 2817, 2177, 3084, 3154, 1010, 2028, 1997, 2122, 2003, 1999, 2256, 8426, 2000, 5762, 3425, 1010, 1998, 1996, 16680, 1996, 3189, 3936, 2090, 2256, 15084, 1998, 2256, 4506, 1012, 2057, 2031, 6334, 2256, 8426, 2000, 8906, 1010, 2021, 2031, 3478, 2000, 3443, 16850, 2008, 8339, 2019, 6233, 5636, 3973, 7578, 2406, 1012, 7065, 1012, 4776, 12852, 3090, 1999, 2014, 13693, 8835, 1010, 1523, 2061, 2411, 1996, 24191, 1010, 1996, 2655, 2000, 5290, 1010, 2442, 2272, 2013, 1996, 17034, 1529, 2111, 2040, 3685, 4025, 2000, 2191, 2037, 2126, 1999, 1010, 2750, 2256, 20616, 2008, 2256, 4303, 2024, 2330, 1012, 1524, 2028, 11849, 2012, 2256, 3522, 3296, 2236, 3116, 2371, 2008, 2107, 1037, 2655, 2001, 2734, 1010, 1998, 3818, 1037, 17630, 4367, 2000, 3202, 11092, 2019, 5893, 6958, 1010, 2029, 2163, 2008, 1523, 2057, 1010, 1996, 2266, 16850, 1997, 1996, 3010, 25477, 2473, 1010, 16077, 2000, 21358, 27972, 1998, 5326, 1024, 1523, 3265, 1998, 15029, 2895, 2008, 4070, 8231, 4487, 11512, 9286, 2015, 14398, 1998, 2060, 20489, 2015, 1999, 9731, 1998, 1999, 2256, 4896, 1012, 1524, 1999, 1996, 5256, 1997, 1996, 24508, 3314, 2008, 10155, 2023, 4367, 19528, 1010, 2070, 2089, 3160, 2256, 8426, 2000, 1996, 15084, 2009, 9686, 6873, 13901, 1012, 2057, 6807, 2008, 1996, 2147, 1996, 5893, 6958, 4455, 2006, 2149, 2000, 8526, 1999, 2003, 2146, 1998, 13506, 2147, 1010, 1998, 2008, 2057, 2089, 2069, 2022, 2012, 1996, 2927, 1997, 2023, 2346, 1012, 1996, 12731, 2278, 2038, 2081, 4487, 11512, 15073, 14398, 1037, 6143, 9470, 2005, 2195, 2086, 1012, 1998, 2083, 2256, 4487, 11512, 15073, 14398, 9656, 1010, 12265, 1010, 2461, 10880, 2015, 1010, 1523, 4803, 2362, 1524, 1006, 2177, 2005, 3360, 1998, 8361, 2402, 6001, 1997, 6120, 1007, 1010, 1998, 11419, 4512, 2967, 1010, 1996, 12731, 2278, 1998, 16850, 2031, 2012, 2560, 2042, 10201, 1037, 3192, 2005, 1996, 4487, 11512, 15073, 14398, 2817, 2177, 3189, 1998, 1996, 8426, 2000, 1996, 5893, 6958, 1012, 6195, 16151, 1996, 5893, 6958, 2004, 1037, 2120, 3029, 2515, 2025, 3653, 20464, 12672, 3265, 16850, 2013, 16151, 2009, 1010, 2030, 2013, 2635, 1996, 4084, 4072, 2000, 2404, 1996, 6958, 2046, 3218, 1012, 2009, 2515, 1010, 2174, 1010, 5478, 2008, 2057, 3582, 1996, 6194, 2057, 2031, 2511, 1010, 29238, 2295, 2027, 2024, 1010, 2000, 5676, 2008, 2035, 2256, 16850, 2031, 1037, 3382, 2000, 2031, 7953, 2006, 2023, 3277, 1010, 1998, 5676, 2440, 4824, 1010, 8147, 1998, 4965, 1011, 1999, 1010, 2077, 5026, 2023, 2000, 1037, 3789, 1012, 1006, 2005, 2062, 2006, 2023, 1010, 3531, 2156, 1996, 3720, 2917, 2006, 1037, 2126, 2830, 2005, 1996, 5893, 6958, 2832, 1007, 2004, 7065, 1012, 2928, 9959, 1011, 7305, 1010, 2023, 2095, 1521, 1055, 5000, 2400, 7799, 1010, 10116, 1999, 2010, 2286, 25569, 4769, 1523, 7490, 10502, 1010, 1521, 3352, 1996, 2785, 1997, 2451, 2057, 2004, 20781, 2000, 2022, 1523, 5942, 2025, 2069, 2008, 2057, 9368, 2256, 24188, 13295, 6481, 1010, 2021, 2008, 2057, 2689, 2256, 7729, 1012, 18066, 8906, 2003, 2019, 7729, 1012, 2009, 2003, 2025, 1037, 4611, 1025, 2009, 2003, 2019, 9461, 2791, 1012, 2009, 2064, 1521, 1056, 2022, 4838, 2138, 2057, 2095, 2078, 2000, 4982, 1999, 4382, 1998, 2193, 1010, 1998, 4792, 1996, 4066, 1997, 2689, 2008, 2097, 2599, 2149, 2046, 2542, 7046, 1010, 12548, 1010, 6748, 1010, 2062, 18678, 3268, 1012, 1524, 2022, 2092, 2814, 1010, 4105, 22166, 2012, 1996, 12731, 2278, 2604, 1997, 9360, 1996, 12731, 2278, 1521, 1055, 2604, 1997, 9360, 2573, 3701, 1999, 1996, 4281, 1010, 14669, 2083, 3343, 1998, 10615, 1010, 1996, 12731, 2278, 1521, 1055, 2147, 1997, 1523, 3652, 8995, 25477, 4279, 1012, 1524, 2023, 2177, 1997, 4056, 7314, 2272, 2013, 2408, 1996, 2406, 1516, 2048, 2013, 2169, 2555, 1516, 1998, 2950, 1037, 2704, 9718, 1998, 2048, 3360, 14009, 1012, 2093, 9360, 2020, 10251, 2005, 1037, 2117, 2093, 1011, 2095, 2744, 2012, 1996, 12943, 2213, 1024, 7065, 1012, 18943, 18644, 14017, 6761, 1011, 10861, 2015, 11877, 1006, 19330, 23938, 1007, 1025, 11382, 2545, 6528, 5405, 1006, 6930, 1007, 1025, 1998, 5545, 14071, 4115, 1006, 2697, 4974, 25477, 7881, 1007, 1012, 2053, 9360, 2024, 2975, 1996, 2604, 2023, 2095, 1012, 4283, 2000, 1996, 22011, 5034, 1012, 3360, 9718, 1010, 13073, 7055, 1010, 1998, 2704, 9718, 1010, 7065, 1012, 28762, 14296, 2005, 2037, 2326, 1012, 1996, 25682, 1011, 2570, 12731, 2278, 2604, 1997, 9360, 2003, 1024, 2343, 1024, 5545, 14071, 4115, 1010, 8505, 3016, 1516, 2530, 2555, 3580, 1011, 2343, 1024, 8057, 11824, 1010, 8166, 1516, 2789, 2555, 10211, 1024, 23459, 2665, 1010, 12512, 1516, 2530, 2555, 3187, 1024, 11382, 2545, 6528, 5405, 1010, 6930, 1516, 4647, 2555, 9465, 2050, 7658, 3051, 1010, 15296, 2669, 1010, 2789, 2555, 7065, 1012, 18943, 14017, 6761, 1011, 10861, 2015, 11877, 1010, 19330, 23938, 1010, 2430, 2555, 5545, 12849, 8093, 1010, 4361, 1516, 2430, 2555, 2745, 9539, 1010, 2047, 9434, 1516, 4647, 2555, 2704, 9718, 1024, 7065, 1012, 17137, 2050, 9399, 24146, 1010, 3848, 5034, 1012, 3360, 9718, 1024, 11409, 22084, 12604, 4059, 1010, 8505, 3016, 3781, 1012, 3360, 9718, 1024, 4388, 2508, 1010, 25447, 1996, 12731, 2278, 1521, 1055, 2053, 27932, 2837, 2038, 1996, 2590, 4708, 1997, 6575, 2041, 1057, 2271, 2007, 1996, 4072, 3325, 1998, 8066, 2000, 3710, 2006, 1996, 2604, 1997, 9360, 1012, 2037, 2372, 8487, 1996, 2406, 1998, 10295, 3716, 1997, 1996, 5918, 2005, 2604, 2372, 1010, 1998, 24666, 2007, 16850, 1998, 1057, 2271, 2408, 1996, 2406, 1012, 2057, 4067, 2198, 8709, 2140, 1006, 10112, 1007, 1998, 9618, 15876, 4103, 1006, 10475, 1007, 2005, 2037, 2326, 2006, 1996, 2053, 27932, 2837, 1010, 1998, 4299, 2068, 2092, 1999, 2037, 2279, 7357, 1012, 1996, 12609, 1516, 25682, 2053, 27932, 2837, 2003, 1024, 9399, 9143, 1010, 6930, 1006, 4647, 1007, 2745, 26181, 2135, 1010, 5912, 1006, 4647, 1013, 2530, 1007, 19290, 3393, 25127, 21351, 2015, 1010, 9296, 1006, 2430, 1007, 5003, 13098, 3653, 19862, 2102, 1010, 8166, 2034, 1006, 2430, 1013, 2789, 1007, 4074, 22253, 1010, 10112, 1006, 2530, 1007, 5035, 6769, 1010, 10475, 1006, 2789, 1007, 1057, 2226, 7767, 1997, 2710, 1996, 2658, 1057, 2226, 7767, 1997, 2710, 1006, 1057, 2819, 10085, 1007, 3073, 2149, 2007, 6259, 1998, 13645, 8606, 1010, 1998, 2024, 2019, 9897, 1998, 8995, 2112, 1997, 2256, 2120, 4752, 2451, 1012, 2027, 16077, 2362, 2000, 5326, 8012, 1999, 3757, 1010, 2306, 1998, 2648, 1997, 16850, 1012, 2083, 3167, 4083, 1010, 3930, 1998, 8203, 2490, 1010, 2027, 1041, 15549, 2361, 3209, 2000, 2022, 28036, 4177, 2306, 1996, 25477, 5415, 2923, 2929, 1999, 2710, 1998, 7587, 1012, 1996, 12609, 1516, 25682, 1057, 2819, 10085, 3237, 2837, 2003, 1024, 2343, 1024, 7065, 1012, 4776, 12852, 1010, 21730, 1999, 10522, 3580, 2343, 1024, 7065, 1012, 12669, 4819, 2078, 11111, 6826, 1010, 11093, 10211, 1024, 7065, 1012, 13373, 7570, 3217, 24316, 2121, 1010, 10475, 3187, 1024, 3841, 5863, 2015, 1010, 17587, 2704, 9718, 1024, 7065, 1012, 17137, 2050, 9399, 24146, 1010, 3848, 7065, 1012, 2928, 9959, 1011, 7305, 8267, 5000, 2400, 2028, 1997, 1996, 12731, 2278, 1521, 1055, 2087, 8919, 2982, 1010, 1996, 5000, 2400, 14600, 1037, 25477, 3005, 8426, 8762, 1996, 15084, 28593, 2011, 1996, 3268, 1998, 2147, 1997, 7912, 1998, 5125, 5000, 1999, 2582, 2075, 1996, 6481, 1997, 25477, 2964, 1999, 2710, 1012, 1996, 5000, 2400, 2003, 3591, 2011, 1037, 3025, 5000, 7799, 2000, 1996, 14751, 2266, 1012, 1999, 25682, 1010, 1996, 2400, 2001, 3591, 2011, 5035, 6769, 1010, 5125, 1998, 7912, 5000, 1521, 1055, 12787, 1010, 2000, 7065, 1012, 2928, 9959, 1011, 7305, 1012, 1999, 2014, 12629, 1010, 5035, 3264, 2928, 1521, 1055, 2116, 17571, 1010, 2164, 3529, 2004, 12731, 2278, 2343, 1010, 3015, 2195, 2808, 2006, 22575, 14398, 1010, 1998, 3529, 2004, 1996, 25569, 5882, 2005, 1996, 12731, 2278, 1521, 1055, 2286, 3034, 1012, 2004, 5035, 5159, 1024, 1523, 2004, 2019, 3166, 1998, 5882, 2002, 2038, 8315, 2149, 2000, 14323, 14398, 1999, 2256, 18683, 1998, 2554, 1998, 2000, 4982, 2046, 1037, 2062, 7578, 1998, 5621, 18678, 4676, 1012, 2004, 1037, 3412, 3003, 1010, 2002, 2038, 4427, 2149, 2007, 1996, 4454, 1997, 2010, 2245, 1998, 1996, 5995, 1997, 2010, 15398, 1012, 2004, 1037, 3003, 1999, 2256, 3010, 4752, 4012, 12274, 3012, 1010, 2010, 11752, 1010, 9866, 1010, 1998, 2512, 2319, 25171, 3739, 3271, 3288, 2055, 1037, 2047, 3690, 1999, 1996, 12731, 2278, 1012, 1524, 1999, 10564, 1996, 2400, 1010, 2928, 3825, 7050, 2000, 5125, 1998, 7912, 5000, 1010, 9073, 2129, 2037, 5377, 12276, 2000, 25477, 2964, 1523, 3473, 1996, 5145, 1998, 2582, 2098, 4314, 4676, 1999, 2710, 1012, 1524, 2002, 2036, 3264, 2129, 2002, 2001, 15546, 2000, 3693, 2627, 15991, 1997, 1996, 2400, 1010, 2164, 12731, 2278, 4889, 2343, 1998, 25477, 12696, 10852, 2002, 8545, 4779, 1010, 1998, 15583, 1996, 1523, 7307, 1524, 2005, 2164, 2032, 2426, 2037, 6938, 1012, 7065, 1012, 4776, 12852, 1521, 1055, 13693, 8835, 3084, 2005, 11973, 6594, 1996, 13693, 8835, 1010, 1037, 8312, 2011, 1037, 2704, 4217, 2011, 2037, 12746, 2000, 3749, 12369, 2046, 1996, 6569, 2015, 1998, 5936, 1997, 2256, 2542, 4535, 1010, 2003, 2467, 1037, 12944, 1997, 1996, 12731, 2278, 1521, 1055, 9281, 1012, 1996, 4289, 1997, 2023, 2095, 1521, 1055, 8835, 1010, 1523, 1037, 2047, 18458, 1524, 2011, 7065, 1012, 4776, 12852, 1997, 10522, 1521, 1055, 21730, 25477, 7769, 1010, 19541, 2013, 2216, 1999, 2086, 2627, 1012, 6818, 2020, 4778, 2000, 3193, 1996, 8835, 1999, 5083, 1998, 3288, 2037, 3980, 1998, 7928, 2000, 1996, 5958, 3944, 7215, 1012, 1996, 2047, 4289, 2081, 2005, 2019, 11973, 6594, 1010, 2007, 2195, 6818, 14158, 2027, 6257, 2045, 2071, 2022, 1037, 2117, 5219, 2000, 11529, 6748, 2046, 1996, 3314, 1996, 8835, 2992, 1012, 2116, 6818, 2106, 1999, 2755, 2203, 2039, 6595, 2006, 24095, 2007, 4776, 2127, 2184, 7610, 3802, 1010, 2521, 2627, 1996, 2724, 1521, 1055, 5115, 2203, 2051, 1012, 1037, 2126, 2830, 2005, 1996, 5893, 6958, 2832, 2012, 1996, 12731, 2278, 1521, 1055, 12943, 2213, 2006, 2089, 1022, 1010, 2045, 2001, 1037, 17630, 4367, 2013, 1996, 2723, 2000, 3202, 11092, 2019, 5893, 6958, 1010, 2029, 2163, 1024, 1523, 2057, 1010, 1996, 2266, 16850, 1997, 1996, 3010, 25477, 2473, 1010, 16077, 2000, 21358, 27972, 1998, 5326, 1024, 1523, 3265, 1998, 15029, 2895, 2008, 4070, 8231, 4487, 11512, 9286, 2015, 14398, 1998, 2060, 20489, 2015, 1999, 9731, 1998, 1999, 2256, 4896, 1012, 1524, 2348, 2023, 4367, 2979, 2007, 1037, 3484, 3789, 1010, 1037, 6176, 3319, 1997, 1996, 8931, 1998, 12943, 2213, 24051, 2206, 1996, 12943, 2213, 3936, 2008, 1999, 4352, 1996, 4367, 2000, 10838, 1010, 1996, 12731, 2278, 2106, 2025, 7919, 3582, 1996, 9095, 1997, 3188, 5060, 2005, 15323, 1010, 1998, 2004, 1037, 2765, 1010, 2057, 14424, 2256, 2219, 2011, 14919, 2015, 1006, 6523, 2000, 2011, 14919, 1001, 1017, 1007, 1012, 1996, 12731, 2278, 2011, 14919, 2015, 3565, 6924, 2063, 2035, 2060, 3513, 1998, 8853, 1010, 2947, 2437, 1996, 4367, 19528, 1998, 1010, 2004, 2107, 1010, 2009, 2515, 2025, 3233, 1012, 2057, 2215, 2000, 2022, 3154, 2008, 2023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4953, 1996, 4958, 9463, 18075, 2817, 4919, 1010, 2009, 2003, 2590, 2147, 2138, 2057, 2024, 7887, 6575, 2005, 2019, 4621, 3424, 8663, 19722, 4877, 4630, 4319, 2000, 7438, 4958, 9463, 18075, 1999, 6077, 1012, 1996, 5850, 2057, 2747, 2031, 2800, 4703, 3426, 2046, 3917, 3085, 2217, 3896, 2030, 2079, 2025, 2147, 2092, 2438, 2000, 2491, 1996, 25750, 1012, 3568, 1010, 2065, 17324, 2094, 2515, 6011, 2000, 2022, 2019, 4621, 3424, 8663, 19722, 4877, 4630, 1010, 2023, 2052, 7461, 5190, 1997, 6077, 4969, 1012, 1524, 2302, 2913, 1998, 7040, 1010, 2116, 1997, 1996, 17324, 2094, 3688, 2006, 1996, 3006, 2024, 4895, 22199, 2098, 1998, 4895, 2890, 24848, 4383, 1012, 2043, 2356, 2065, 9004, 5608, 2323, 2022, 15705, 1997, 2122, 3688, 1010, 2852, 1012, 23220, 2056, 1010, 1523, 2748, 1010, 1996, 3768, 1997, 7816, 2003, 1997, 2307, 5142, 1012, 2025, 4209, 1996, 6635, 24355, 1998, 12450, 1997, 2216, 24355, 1999, 1037, 3327, 4031, 2003, 12459, 1010, 2926, 2007, 1996, 3716, 2008, 2012, 3056, 21656, 1010, 16215, 2278, 2064, 2022, 11704, 2000, 6077, 1012, 11504, 1010, 2023, 3006, 2097, 2689, 1999, 1996, 2925, 1012, 1524, 2339, 2913, 2006, 17324, 2094, 1004, 3899, 25750, 3043, 2016, 4541, 1010, 1523, 1996, 2817, 2003, 5604, 17324, 2094, 2006, 6077, 2007, 4958, 9463, 18075, 1999, 1037, 4758, 2470, 4292, 1012, 1996, 6077, 8302, 1999, 1996, 2817, 2024, 18154, 4137, 2000, 4374, 2593, 1037, 2173, 5092, 2030, 1996, 17324, 2094, 3514, 2005, 2260, 3134, 1998, 2059, 1010, 2044, 1037, 1018, 1011, 2733, 9378, 5833, 2558, 1010, 4374, 1996, 4500, 4319, 2005, 2019, 3176, 2260, 3134, 1012, 1996, 6950, 1998, 1996, 5608, 2024, 20641, 2004, 2000, 2029, 4319, 2003, 2445, 1999, 2169, 2431, 1997, 1996, 2817, 1012, 1524, 1996, 17712, 9468, 2232, 2546, 1521, 1055, 17324, 2094, 2817, 2071, 2022, 1996, 2034, 2405, 1010, 2312, 1011, 4094, 2817, 2000, 11628, 1996, 3896, 1997, 17324, 2094, 2006, 18634, 4023, 1999, 6077, 1012, 1523, 2023, 6612, 3979, 2003, 2590, 2005, 2195, 4436, 1010, 1524, 2852, 1012, 23220, 4207, 1012, 1523, 3227, 4092, 1010, 1996, 2671, 4637, 17324, 2094, 2224, 1999, 15651, 4200, 2003, 11158, 1012, 2045, 2003, 12990, 2019, 8586, 27364, 2389, 3350, 1010, 2021, 2200, 2261, 1010, 2065, 2151, 1010, 2092, 1011, 6472, 2470, 2913, 1012, 17712, 9468, 2232, 2546, 4958, 9463, 18075, 6349, 2009, 2064, 2823, 2514, 2066, 2045, 2003, 2498, 2057, 2064, 2079, 2000, 2393, 2256, 6077, 1010, 2926, 2007, 7870, 2066, 4958, 9463, 18075, 1012, 2008, 2003, 2112, 1997, 2054, 3084, 1996, 17712, 9468, 2232, 2546, 2913, 2061, 10990, 1012, 2852, 1012, 2829, 4081, 2048, 3971, 5608, 1998, 20305, 2064, 2393, 1024, 1996, 3037, 1999, 17985, 12929, 1999, 1996, 3949, 1997, 4958, 9463, 4523, 3111, 1010, 3391, 4319, 25416, 22648, 7062, 5593, 4958, 9463, 4523, 3111, 1010, 2038, 3712, 16901, 12870, 2094, 1999, 3522, 2086, 1012, 16204, 1998, 2060, 17985, 3688, 2007, 8777, 2000, 2152, 16215, 2278, 4180, 12550, 3952, 2005, 10517, 5682, 2024, 3227, 25622, 2005, 2023, 12407, 1010, 2025, 2069, 2138, 3350, 2005, 2019, 3424, 1011, 18634, 4023, 1997, 16215, 2278, 2003, 1041, 15549, 6767, 9289, 1998, 3891, 1997, 18634, 12943, 17643, 21596, 3685, 2022, 12421, 1010, 7886, 2021, 2036, 2138, 16215, 2278, 2003, 3378, 2007, 2116, 6151, 2229, 27559, 3896, 1010, 2164, 13449, 14000, 1010, 13691, 10840, 1010, 10699, 1998, 5013, 25172, 12521, 2629, 1516, 13029, 1998, 1010, 4298, 1010, 2036, 22935, 22423, 1012, 11899, 1996, 13523, 12228, 4167, 2003, 2036, 2062, 8211, 2000, 1996, 15316, 1997, 3896, 1997, 16204, 1010, 14010, 1010, 14378, 1010, 7558, 1998, 2045, 2003, 3350, 1997, 16215, 2278, 17727, 11215, 2075, 8332, 1998, 8360, 20831, 2076, 4167, 2458, 1012, 14010, 1010, 14378, 1010, 7558, 12532, 16778, 11231, 3370, 1997, 16215, 2278, 2044, 15330, 7524, 2064, 2036, 2599, 2000, 10534, 24491, 2015, 17134, 2487, 1010, 14078, 1998, 3572, 2031, 2042, 2988, 1997, 18634, 4654, 10732, 28483, 3508, 2044, 16204, 8292, 11488, 3508, 1999, 2111, 2007, 4958, 9463, 18075, 1012, 14506, 1999, 3653, 20464, 5498, 9289, 2913, 1010, 17324, 2094, 2038, 2042, 2179, 2000, 2022, 3161, 1999, 1037, 3528, 1997, 25750, 4275, 1010, 2164, 25750, 10572, 2011, 29160, 16175, 1011, 5213, 23499, 1516, 4601, 1998, 2011, 7279, 27983, 10111, 6494, 6844, 2571, 1999, 11432, 1998, 12328, 1010, 4413, 1516, 4008, 5746, 16505, 25750, 1999, 11432, 19961, 1998, 25750, 10572, 2011, 1017, 1011, 21442, 17695, 14399, 18981, 3258, 2594, 5648, 1010, 12170, 10841, 10841, 21202, 2063, 1010, 27263, 21709, 11636, 2378, 1010, 16034, 1998, 11163, 6200, 5831, 2094, 1006, 2021, 2025, 2358, 2854, 2818, 19105, 1007, 1999, 12328, 1012, 4464, 1010, 3429, 1010, 4805, 1999, 2804, 1010, 17324, 2094, 3065, 9474, 4023, 1999, 14255, 4135, 10010, 19265, 4275, 1997, 15850, 21833, 25750, 1998, 1999, 1996, 7279, 28775, 21202, 1998, 25627, 4275, 1997, 15918, 25750, 1999, 11432, 1010, 4700, 1516, 4749, 1998, 7457, 1996, 2044, 10521, 7507, 20800, 11207, 2096, 8161, 2044, 10521, 7507, 20800, 22261, 1998, 9367, 1999, 29103, 23408, 23461, 2785, 3709, 25750, 1999, 11432, 1012, 2753, 17324, 2094, 2036, 26402, 2015, 4958, 9463, 13876, 22631, 4022, 2015, 10572, 2011, 1037, 11460, 1016, 1009, 1011, 2489, 5396, 1998, 1018, 1011, 13096, 1011, 1052, 12541, 28173, 2638, 1999, 5099, 6873, 26468, 2389, 4167, 25609, 1012, 4413, 3728, 1010, 1996, 3424, 8663, 19722, 4877, 4630, 6337, 1997, 17324, 2094, 2001, 2128, 1011, 16330, 2478, 1037, 25416, 10085, 13901, 11326, 8778, 2764, 2011, 1996, 2120, 2820, 1997, 23130, 10840, 1998, 6909, 1006, 9152, 18376, 1007, 1011, 6787, 4958, 9463, 18075, 7242, 11326, 2565, 1012, 4601, 1999, 2023, 4812, 1010, 17324, 2094, 2445, 26721, 1011, 2566, 9956, 22084, 9215, 1006, 1045, 1012, 1052, 1012, 1007, 2550, 1037, 13004, 1011, 7790, 3860, 2114, 29160, 16175, 22231, 3600, 1011, 10572, 25750, 1999, 12328, 1006, 3968, 12376, 6640, 1012, 1019, 11460, 1013, 4705, 1007, 1998, 11432, 1006, 3968, 12376, 6070, 1012, 1023, 11460, 1013, 4705, 1007, 1010, 1998, 2001, 2036, 2179, 2000, 2022, 4621, 1999, 1996, 1020, 22100, 4008, 5003, 18634, 2944, 1006, 3968, 12376, 17943, 11460, 1013, 4705, 1007, 1010, 1998, 1999, 1996, 9781, 15879, 2785, 2989, 2944, 1006, 3968, 12376, 13285, 11460, 1013, 4705, 1007, 1999, 12328, 1012, 2122, 3896, 2020, 5159, 2012, 21656, 2008, 2106, 2025, 3426, 5013, 25172, 1012, 2053, 3860, 1010, 2174, 1010, 2001, 12754, 1999, 1996, 16983, 4140, 3089, 11528, 2063, 1011, 13070, 6864, 2290, 9305, 2050, 2785, 3709, 9350, 2012, 21656, 2039, 2000, 3998, 11460, 1013, 4705, 1012, 17324, 2094, 2003, 3811, 5391, 2000, 12123, 8171, 1006, 1028, 5585, 1003, 1007, 6191, 1998, 2003, 8077, 18804, 14956, 3550, 2011, 22330, 3406, 20366, 1052, 19961, 2692, 1006, 22330, 2361, 1007, 16285, 1010, 3391, 22330, 2361, 2509, 2050, 2549, 1998, 22330, 2361, 2475, 2278, 16147, 1010, 5764, 1998, 1043, 7630, 10841, 4948, 8516, 6494, 3619, 27709, 8583, 1012, 6163, 1996, 2350, 21453, 12732, 7336, 18479, 18037, 13490, 1998, 19577, 2012, 1039, 1011, 1021, 1010, 2628, 2011, 2582, 18479, 18037, 13490, 1999, 1996, 7279, 3723, 2140, 1998, 17678, 2368, 8516, 2967, 1012, 6273, 1996, 2350, 23060, 28173, 5422, 18804, 14956, 4221, 4453, 2003, 2064, 2532, 17062, 20282, 1011, 1021, 1011, 1051, 2594, 5648, 4820, 1037, 18479, 18037, 11031, 8516, 2217, 4677, 1012, 1996, 9614, 1997, 17324, 2094, 4076, 1037, 12170, 21890, 19570, 5418, 1010, 2007, 2019, 3988, 2431, 1011, 2166, 1997, 2055, 1020, 2847, 2029, 6576, 11138, 4487, 3367, 3089, 8569, 6024, 6194, 1012, 2138, 1997, 2049, 2200, 2152, 5423, 7361, 19466, 2594, 5144, 1010, 17324, 2094, 16062, 2015, 8077, 2046, 14095, 1010, 2013, 2029, 2009, 2003, 3254, 2207, 1010, 4525, 1999, 1037, 2397, 1011, 4403, 5536, 2431, 1011, 2166, 1997, 2055, 2484, 2847, 1012, 6191, 1999, 1037, 3808, 1998, 6887, 27292, 22684, 4939, 16530, 2817, 1999, 5022, 2007, 2852, 10696, 2102, 8715, 1010, 2676, 2336, 4793, 1018, 2000, 2184, 2086, 2363, 17324, 2094, 21656, 1997, 1019, 1010, 2184, 2030, 2322, 11460, 1013, 4705, 1013, 2154, 1999, 2804, 2000, 3653, 1011, 4493, 3424, 13699, 9463, 20746, 5850, 1006, 29347, 5104, 1007, 1012, 6353, 2006, 3949, 2154, 2570, 1010, 7524, 2015, 2000, 17324, 2094, 1998, 2049, 2350, 18804, 14956, 7616, 2020, 2179, 2000, 3623, 13004, 1011, 14267, 2135, 1012, 3313, 1011, 6397, 7012, 1999, 21060, 1011, 3806, 2696, 4904, 8715, 1996, 2381, 1997, 2529, 2224, 1997, 1996, 17985, 3269, 3632, 2067, 2000, 1996, 6440, 1997, 14938, 1012, 1996, 3269, 1010, 2029, 7940, 1999, 2430, 4021, 2030, 1999, 1996, 18455, 1997, 1996, 26779, 1010, 2001, 3322, 13237, 1999, 2859, 2005, 11917, 1998, 6534, 2537, 1010, 1998, 1999, 2634, 2005, 24604, 2537, 1012, 1015, 2005, 2116, 4693, 1010, 2647, 1998, 2264, 4004, 8384, 2031, 2109, 3262, 17985, 18859, 4820, 2659, 8310, 1006, 1026, 1015, 1003, 4318, 3635, 1007, 1997, 1996, 18224, 19620, 6958, 1023, 1011, 1158, 1011, 8915, 6494, 10536, 22196, 9336, 2532, 17062, 20282, 1006, 16215, 2278, 1007, 1010, 1998, 2037, 2364, 27891, 2001, 2005, 11917, 1998, 2833, 1012, 18868, 1010, 3060, 1010, 2690, 1011, 2789, 1010, 2148, 4004, 1010, 1998, 4643, 4004, 8384, 2031, 2109, 17985, 3952, 2005, 2049, 18224, 19620, 5144, 1010, 2007, 18859, 2013, 2122, 4655, 2411, 4820, 1019, 1516, 2184, 1003, 16215, 2278, 1012, 1015, 3452, 1996, 3463, 1997, 2122, 7012, 10580, 2008, 2012, 9998, 13923, 1997, 2184, 2000, 2322, 11460, 1013, 4705, 1013, 2154, 17324, 2094, 2003, 6020, 2000, 2173, 5092, 1999, 8161, 1996, 6075, 1997, 4530, 25750, 1999, 5022, 2007, 21060, 1011, 3806, 2696, 4904, 8715, 1012, 2405, 4311, 1010, 2174, 1010, 3073, 2053, 2592, 2006, 9530, 9006, 25451, 2102, 1996, 2527, 13046, 1010, 1998, 2087, 5546, 3251, 1010, 1998, 2000, 2054, 6698, 1010, 1996, 6612, 7620, 2006, 17324, 2094, 7242, 2071, 2022, 3141, 2000, 6678, 1999, 20194, 14061, 1997, 2060, 20992, 1010, 2087, 5546, 18856, 16429, 10936, 3286, 1998, 1050, 1011, 4078, 11368, 29598, 20464, 16429, 10936, 3286, 1012, 4102, 2007, 16215, 2278, 1010, 17324, 2094, 3065, 1037, 2488, 4225, 3424, 8663, 19722, 4877, 4630, 6337, 1999, 4111, 4275, 2641, 2000, 2022, 16014, 3512, 1997, 21150, 2114, 15918, 1998, 18960, 25750, 1012, 9308, 1010, 17324, 2094, 2003, 4321, 22808, 1997, 15316, 18224, 19620, 3896, 1010, 1998, 2003, 2641, 2000, 3768, 1996, 6905, 14000, 3378, 2007, 16215, 2278, 1011, 4820, 3688, 1012, 15170, 1999, 1996, 2197, 5476, 1010, 2023, 2038, 2419, 2000, 2019, 4852, 2224, 1997, 17324, 2094, 1011, 25202, 27059, 2004, 1037, 4022, 3949, 2005, 4958, 9463, 18075, 1010, 3391, 1999, 2336, 1012, 7620, 1999, 18634, 2491, 1010, 2411, 3378, 2007, 3176, 6666, 2006, 3637, 1998, 9164, 1010, 2031, 2042, 2988, 1999, 1037, 2946, 3085, 10817, 1997, 3572, 1010, 6584, 2021, 7613, 1997, 2122, 2951, 2003, 2081, 3697, 2011, 1996, 4895, 8663, 13181, 11001, 3267, 1997, 1996, 9420, 1012, 5678, 1010, 2004, 6936, 1999, 2023, 3720, 1010, 2045, 2024, 5936, 2055, 1996, 3737, 1998, 28436, 1997, 2116, 1997, 1996, 3688, 2109, 1010, 5818, 3391, 2138, 17985, 3949, 2003, 2411, 7531, 27491, 2011, 5022, 2030, 2729, 5856, 14028, 2302, 11706, 2966, 10429, 1012, 8746, 6887, 27292, 22684, 9966, 6337, 1999, 6388, 4275, 1997, 25750, 1998, 4958, 9463, 18075, 1996, 2862, 2003, 2025, 15095, 3512, 1998, 2025, 2035, 2988, 4506, 2089, 2022, 7882, 2000, 3424, 1011, 18634, 4023, 1012, 1999, 1996, 2117, 3979, 1010, 14993, 5022, 2007, 21060, 1011, 3806, 2696, 4904, 8715, 1006, 2812, 2287, 2385, 2086, 1010, 3991, 2193, 1997, 4530, 25750, 2566, 3204, 2012, 26163, 5594, 1007, 2020, 6721, 5084, 2000, 2093, 2967, 1998, 11095, 2000, 2048, 21656, 1997, 17324, 2094, 1006, 2184, 2030, 2322, 11460, 1013, 4705, 1013, 2154, 1007, 2030, 2173, 5092, 1012, 13412, 8302, 5022, 2020, 4909, 1037, 3991, 1997, 1017, 9530, 9006, 25451, 2102, 29347, 5104, 1012, 9367, 1997, 1996, 3979, 2001, 2403, 3134, 1006, 1016, 1011, 2733, 14841, 6494, 3508, 1998, 2260, 1011, 2733, 6032, 1007, 1012, 1996, 7312, 1999, 7058, 6075, 1997, 4530, 25750, 2001, 6022, 3618, 1999, 1996, 17324, 2094, 2322, 11460, 1013, 4705, 2177, 1006, 4413, 1003, 1007, 1998, 2184, 11460, 1013, 4705, 2177, 1006, 4261, 1003, 1007, 2084, 1999, 1996, 2173, 5092, 2177, 1006, 2459, 1003, 1025, 1052, 1027, 1014, 1012, 4002, 22610, 1998, 1014, 1012, 25604, 2575, 1010, 4414, 1010, 20965, 1012, 1018, 1007, 1012, 1996, 10817, 1997, 5022, 2007, 1037, 1609, 2753, 1003, 9885, 1999, 4530, 18634, 6075, 2001, 2036, 6022, 3618, 1999, 1996, 2322, 1998, 2184, 11460, 1013, 4705, 2967, 1006, 2871, 1003, 1998, 4029, 1003, 1010, 4414, 1007, 2084, 1999, 1996, 2173, 5092, 2177, 1006, 2321, 1003, 1025, 1052, 1027, 1014, 1012, 2199, 2575, 1998, 1052, 1027, 1014, 1012, 4002, 14142, 1010, 4414, 1007, 1012, 2561, 25750, 2020, 2036, 6022, 4359, 1999, 2119, 17324, 2094, 2967, 4102, 2007, 2173, 5092, 1012, 15316, 2824, 2020, 2988, 1999, 6365, 1003, 1997, 5022, 11095, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1045, 3728, 2018, 1037, 2186, 1997, 2146, 11834, 2007, 1037, 6203, 2767, 2013, 2026, 2051, 2012, 26927, 2078, 1012, 2122, 2024, 2070, 1997, 2026, 4301, 2013, 2008, 1012, 2011, 6631, 2023, 1010, 1045, 3246, 2000, 8328, 2422, 2006, 26927, 12273, 11514, 2401, 1996, 5145, 1010, 2029, 2000, 16446, 1996, 2659, 3076, 1011, 3836, 1998, 3076, 1011, 3095, 21879, 2004, 1037, 3114, 2005, 7052, 1012, 3531, 2079, 2025, 9467, 1996, 2111, 1045, 1521, 2310, 5720, 2055, 1010, 2057, 2020, 8084, 2306, 1037, 24670, 3714, 2291, 1010, 2348, 2057, 2089, 2025, 2031, 3651, 2129, 2172, 2127, 2101, 1012, 3017, 2671, 2012, 26927, 12273, 11514, 2401, 2003, 2467, 1037, 2518, 1010, 1998, 2045, 2003, 2070, 3815, 1997, 6259, 2028, 1011, 2039, 4691, 1024, 2493, 4139, 2041, 2037, 2440, 3793, 8220, 2013, 13383, 2015, 1998, 3191, 2009, 2006, 1996, 4970, 2665, 1006, 6259, 6781, 2685, 2065, 2009, 2038, 1037, 10800, 26931, 999, 2017, 2064, 2131, 2068, 2005, 1002, 2260, 1999, 1996, 21785, 1010, 1998, 4469, 6259, 6781, 2685, 2065, 2017, 2031, 7785, 3964, 1004, 1013, 2030, 11548, 3793, 1013, 2104, 12735, 1007, 1012, 2440, 12633, 1024, 1045, 2196, 3191, 1996, 10800, 2127, 1045, 2288, 2000, 26927, 2078, 1010, 1999, 2256, 2152, 2082, 4465, 2082, 2177, 1010, 2012, 2087, 2057, 2052, 2169, 3191, 1037, 2930, 1998, 2059, 4139, 2256, 5440, 13768, 2000, 2831, 2055, 2068, 1010, 2021, 1996, 2878, 10800, 1010, 2296, 2154, 1029, 8840, 2140, 16780, 1012, 2130, 2012, 26927, 2078, 1045, 2134, 1521, 1056, 8572, 1008, 1010, 4983, 1045, 2018, 1037, 18328, 2008, 7278, 2057, 2079, 2009, 2004, 1037, 19882, 4023, 2076, 4251, 2051, 1006, 2043, 2057, 2323, 2031, 2042, 7083, 7699, 4637, 1996, 3721, 1007, 1012, 1008, 2045, 2020, 1037, 2261, 2335, 1045, 2699, 2000, 3191, 2009, 2296, 2154, 2000, 2022, 1037, 2488, 3017, 7155, 1998, 2000, 2022, 6259, 2135, 4427, 1529, 4066, 1997, 2066, 1996, 2051, 1045, 3191, 2671, 1004, 2740, 2013, 3104, 2000, 3104, 1010, 2138, 1045, 2071, 1012, 2009, 2003, 2145, 2175, 12820, 2100, 3995, 6559, 1006, 2295, 2012, 1996, 2051, 1045, 3555, 2009, 2001, 3243, 4427, 1007, 1012, 2045, 2003, 1037, 3114, 1996, 10800, 2003, 2081, 4498, 1997, 4139, 1011, 16614, 1012, 2017, 2941, 2928, 2115, 2808, 1998, 3191, 1996, 10800, 2013, 2045, 1029, 2017, 1521, 2128, 2066, 1037, 8687, 21830, 1010, 2471, 2053, 2028, 6017, 2037, 2808, 1006, 4983, 2027, 1521, 2128, 1996, 2711, 4222, 2011, 2037, 2160, 2000, 2079, 2061, 1007, 1010, 2021, 2017, 4863, 2017, 2131, 2061, 2172, 2062, 2041, 1997, 1996, 10800, 2043, 2017, 3191, 2009, 1999, 1996, 2440, 6123, 1517, 27594, 2121, 9499, 1024, 1996, 10800, 2001, 2025, 2517, 2007, 1996, 2440, 6123, 1999, 2568, 1012, 2129, 2116, 4469, 12731, 21231, 20116, 3450, 2064, 2017, 11025, 1999, 1029, 2045, 2003, 1996, 20116, 8917, 1010, 4465, 2305, 14825, 10955, 1010, 2277, 1010, 9857, 2851, 10896, 6295, 1010, 1998, 2536, 6259, 7566, 3253, 2011, 12655, 1998, 3447, 2083, 2041, 1996, 2095, 1012, 6781, 2685, 2065, 2017, 1521, 2128, 2464, 2012, 2068, 1010, 4469, 6781, 2685, 2065, 2017, 2064, 9811, 2000, 2191, 3168, 1997, 2068, 1012, 2045, 2003, 1996, 9596, 14457, 1997, 15032, 1010, 2115, 3167, 2166, 1010, 1998, 3017, 2671, 2005, 2216, 2040, 2031, 2025, 2664, 2357, 2322, 1010, 2017, 2064, 4060, 2115, 5440, 4465, 2082, 3836, 1998, 5570, 5463, 4465, 2082, 1999, 1996, 7759, 2534, 1012, 2023, 2064, 2036, 2022, 9596, 2043, 2027, 1521, 2128, 2036, 2115, 2934, 1012, 1523, 1045, 2134, 1521, 1056, 2156, 2017, 1999, 4465, 2082, 2023, 2733, 999, 1524, 2065, 2005, 2070, 3114, 1996, 2711, 2017, 4060, 2987, 1521, 1056, 2147, 2041, 1010, 22634, 1523, 2053, 2524, 5346, 1524, 2021, 2043, 2027, 1521, 2128, 2036, 1999, 3715, 1997, 1996, 2533, 2017, 1521, 2128, 2551, 2005, 2004, 2112, 1997, 2115, 19817, 2860, 2361, 2009, 2064, 2131, 9596, 1012, 1996, 9857, 2851, 15324, 2024, 2200, 2714, 2000, 1996, 3752, 2008, 2001, 4137, 2005, 2115, 6331, 1004, 3017, 9615, 2465, 1012, 2030, 2115, 2047, 9025, 2465, 1012, 2017, 5060, 2062, 1997, 2115, 19846, 2265, 2039, 2084, 5156, 1012, 16507, 1029, 2017, 5463, 1996, 2085, 28458, 2094, 10896, 3116, 2073, 2019, 3080, 10170, 17472, 2002, 1521, 1055, 1523, 2058, 2272, 2010, 4792, 2005, 2010, 2564, 1012, 1524, 2010, 2564, 2003, 2025, 7537, 1012, 12726, 13198, 2024, 2081, 2101, 1012, 2026, 3611, 2001, 4986, 2055, 8152, 3778, 1010, 3398, 1010, 8152, 3778, 2000, 2175, 2000, 2277, 1010, 2079, 2092, 1999, 2026, 4280, 1010, 1998, 3524, 2005, 2009, 1010, 5570, 5463, 9857, 2851, 10896, 6295, 1012, 2057, 1521, 1040, 2031, 3259, 1011, 9260, 4243, 1010, 2057, 2020, 3748, 1012, 2059, 2045, 2003, 7191, 13384, 1010, 4468, 1996, 3311, 1997, 4763, 1010, 2725, 2242, 2008, 3504, 4298, 4763, 2130, 2295, 2009, 3475, 1521, 1056, 1029, 3398, 2123, 1521, 1056, 2079, 2008, 1012, 2123, 1521, 1056, 1996, 1996, 2069, 2611, 1999, 1037, 4536, 1011, 3745, 2408, 1996, 2406, 2007, 2048, 4364, 2017, 1521, 2128, 2025, 3141, 2000, 1012, 2941, 1010, 2130, 2065, 2017, 2024, 3141, 2000, 2068, 1006, 2030, 2130, 2028, 1997, 2068, 1007, 1010, 2123, 1521, 1056, 2079, 2009, 1012, 2009, 2453, 2298, 21068, 999, 2111, 2453, 2831, 999, 2821, 2748, 2111, 2097, 2831, 1012, 2907, 2398, 2007, 2619, 1997, 1996, 4500, 3348, 2096, 3788, 2013, 1996, 3075, 2000, 1996, 7759, 2534, 2074, 2077, 6265, 1998, 2011, 1996, 2203, 1997, 1996, 7954, 1996, 26927, 2078, 13761, 4971, 2097, 2360, 2017, 1521, 2128, 8134, 5117, 1012, 2059, 2115, 22110, 2097, 6970, 21799, 2017, 2055, 2009, 1012, 2003, 2002, 2428, 1996, 2828, 1997, 3124, 2017, 2215, 2000, 2131, 2920, 2007, 1029, 2763, 2025, 1010, 2021, 2009, 18138, 2229, 2014, 2125, 1010, 2061, 7078, 999, 2017, 2113, 2195, 2111, 2031, 9504, 2006, 3721, 1010, 2070, 2031, 4500, 1011, 3348, 9504, 1010, 2027, 5247, 2070, 2051, 2362, 1012, 2009, 3310, 2004, 1037, 4474, 2043, 2017, 2963, 2028, 2003, 16789, 2006, 1996, 2060, 1012, 2002, 1521, 1055, 2025, 16789, 2006, 2014, 2011, 5306, 2619, 2842, 1010, 2008, 1521, 1055, 2010, 2905, 1012, 2045, 2024, 2036, 2070, 12334, 1997, 2029, 2023, 2003, 2995, 2004, 2092, 1012, 2045, 2024, 2941, 3243, 1037, 2261, 9504, 1013, 12334, 1013, 6802, 4262, 2006, 3721, 1012, 2059, 2045, 2001, 1996, 2450, 2040, 2496, 2014, 2190, 2767, 1521, 1055, 2269, 1010, 2027, 2020, 2053, 2936, 2190, 2814, 2044, 2016, 2150, 1996, 3357, 1011, 2388, 1012, 1045, 10667, 8303, 1012, 2017, 2215, 2000, 2360, 2242, 2021, 2017, 2123, 1521, 1056, 2215, 2000, 2131, 2115, 2767, 1013, 18328, 1999, 4390, 2030, 2031, 2068, 2000, 2468, 13761, 1011, 4971, 1042, 7716, 4063, 1010, 1998, 2428, 1010, 2054, 2393, 2052, 2115, 22110, 2022, 4312, 1029, 2017, 2031, 1037, 2767, 2040, 2003, 1999, 1037, 4415, 4895, 20192, 24658, 2100, 3276, 1012, 2027, 1521, 2310, 2042, 2383, 3348, 2076, 1996, 7807, 1006, 2009, 2003, 1037, 2146, 3292, 2518, 1007, 1998, 2016, 1521, 1055, 6427, 2027, 1521, 2128, 2183, 2000, 2022, 2362, 5091, 2138, 2027, 1521, 2310, 2018, 3348, 1010, 2021, 2027, 1521, 2128, 2467, 9177, 1998, 2009, 2003, 4415, 2025, 2551, 2041, 1012, 2017, 3046, 2000, 2831, 2000, 2014, 2055, 2009, 1010, 2021, 2016, 16818, 2673, 2003, 1523, 2986, 1012, 1524, 2157, 1012, 2017, 2031, 1037, 2767, 2040, 3631, 2039, 2007, 1523, 1996, 2293, 1997, 2014, 2166, 1524, 2016, 15970, 2847, 2006, 1996, 3042, 2007, 2014, 20116, 2361, 2296, 2154, 1010, 20040, 1012, 1999, 22307, 13102, 22471, 2016, 1521, 1055, 2763, 14777, 1010, 1998, 20116, 20228, 10450, 8525, 6155, 2069, 2131, 2014, 2061, 2521, 1012, 2016, 1521, 1055, 2036, 11757, 9981, 2008, 2115, 6898, 1006, 2040, 2003, 16789, 2006, 2017, 2021, 2017, 2123, 1521, 1056, 5382, 2023, 2127, 2101, 1007, 7906, 6016, 2017, 4870, 1012, 2146, 7872, 10529, 2011, 1996, 6474, 1012, 2017, 1521, 2128, 7199, 2469, 1996, 2522, 1011, 24394, 2006, 1996, 20116, 2361, 2003, 4895, 20192, 24658, 2100, 1010, 2021, 2040, 2064, 2017, 2425, 1029, 2016, 1521, 1055, 3331, 2000, 1037, 20116, 2361, 2029, 2003, 2054, 20116, 2758, 2017, 2323, 2022, 2725, 2065, 2017, 2031, 1037, 3291, 2000, 2147, 2041, 1012, 2017, 2031, 1037, 2767, 2040, 4152, 5881, 1999, 1037, 5402, 1997, 14488, 2055, 2108, 5697, 1012, 2017, 2391, 2041, 2065, 2016, 2985, 2130, 1015, 1013, 1017, 1997, 1996, 2051, 2016, 2985, 14488, 2725, 2060, 4933, 1517, 2066, 1996, 19453, 2016, 1521, 1055, 14488, 2055, 1517, 2016, 1521, 1040, 2031, 7564, 1997, 2051, 1012, 2023, 6040, 2003, 6439, 1010, 1998, 2016, 16818, 2006, 4292, 2014, 8598, 2000, 1020, 2572, 1006, 2016, 25126, 2083, 2009, 2061, 2017, 2131, 2000, 5256, 2039, 1007, 2000, 3191, 1996, 10800, 1010, 2612, 1997, 3752, 2009, 2076, 4251, 2051, 1006, 2029, 2016, 15970, 29454, 29206, 14626, 14488, 2005, 1996, 3721, 1007, 1998, 2059, 2016, 12237, 2039, 2397, 13233, 2058, 1996, 19453, 2016, 2071, 2031, 2042, 2725, 2612, 1997, 14488, 1012, 2023, 2003, 4415, 2019, 3277, 1998, 2009, 2003, 6911, 2075, 2014, 2041, 1010, 2021, 2016, 1521, 1055, 2478, 3017, 2671, 2061, 2009, 3475, 1521, 1056, 1037, 1523, 3291, 1012, 1524, 2017, 2113, 1037, 2450, 1010, 2040, 1010, 1037, 2261, 3134, 2077, 7665, 1010, 2003, 6727, 2016, 2097, 2025, 2022, 6800, 2007, 2014, 3313, 2350, 1012, 2016, 2949, 2035, 1996, 2607, 2147, 1010, 2404, 1999, 2035, 1996, 2847, 1010, 2106, 1996, 2125, 1011, 3721, 22676, 1010, 4625, 2035, 1996, 24529, 1998, 20384, 2035, 1996, 2003, 1012, 2053, 7526, 2003, 3024, 1012, 2045, 2003, 2053, 2895, 2016, 2064, 2202, 1012, 1996, 3247, 2003, 2345, 1012, 2017, 1521, 2128, 1999, 2019, 14868, 20676, 3276, 2008, 2038, 10070, 2046, 1996, 4462, 4224, 1997, 2054, 2003, 2566, 26770, 2104, 26927, 2078, 1521, 1055, 2852, 22684, 11148, 16561, 9537, 1012, 2017, 2342, 2000, 2831, 2000, 2619, 1010, 2021, 2017, 1521, 2128, 14984, 1010, 1998, 5457, 1010, 1998, 2002, 2758, 2002, 7459, 2017, 1998, 2017, 2729, 6171, 2055, 2032, 1012, 2017, 4033, 1521, 1056, 3714, 1996, 16561, 9537, 1517, 2017, 1521, 2310, 2042, 3565, 6176, 2055, 2008, 1010, 2021, 2017, 1521, 2128, 2036, 2025, 3110, 2307, 2055, 2054, 2017, 1521, 2310, 2589, 1012, 2017, 2123, 1521, 1056, 2514, 2017, 2064, 2831, 2000, 3087, 2055, 2009, 1010, 2027, 1521, 2310, 2196, 2589, 2505, 2066, 2008, 1010, 2027, 1521, 2128, 2204, 3017, 6529, 1012, 2017, 2113, 1037, 2450, 2040, 2515, 2025, 2079, 2014, 14533, 1010, 2035, 4284, 2146, 1012, 2005, 2184, 3134, 2016, 21995, 6530, 14533, 2041, 1997, 1037, 16721, 1010, 6904, 13578, 9351, 2229, 2009, 2004, 2016, 9266, 5244, 4072, 1010, 1998, 4247, 2006, 2007, 2014, 2154, 1012, 2009, 2003, 3467, 1010, 2009, 4627, 2000, 17037, 2121, 1012, 2017, 3749, 2000, 2507, 2014, 2070, 1997, 2115, 14533, 28283, 11461, 1010, 2021, 2016, 2038, 2070, 1012, 2060, 2308, 2006, 2115, 2534, 5060, 1996, 5437, 1012, 2027, 2425, 1996, 22110, 1012, 1996, 2450, 16818, 2673, 2003, 2986, 1012, 1996, 22110, 2758, 2045, 2003, 2498, 2016, 2064, 2079, 1012, 4593, 2017, 2064, 1521, 1056, 4012, 11880, 2619, 2079, 2079, 2037, 14533, 1012, 2111, 2031, 2053, 4145, 1997, 9394, 1010, 7372, 1010, 2030, 3167, 3200, 2096, 1996, 4303, 2008, 2599, 2000, 2648, 1996, 19568, 2024, 5299, 2012, 2305, 1006, 2012, 2560, 2006, 1996, 2308, 1521, 1055, 19568, 2015, 1007, 1996, 4303, 2503, 2000, 1996, 3265, 4734, 2079, 2025, 1012, 2045, 2024, 3971, 2000, 2131, 2105, 2023, 1517, 2017, 2064, 17632, 1037, 5442, 2030, 6065, 2689, 1999, 1996, 2217, 2007, 1996, 25484, 1006, 1996, 4303, 2330, 2503, 1007, 1010, 2017, 2064, 2131, 1037, 2341, 17632, 1010, 2030, 2017, 2064, 3796, 1996, 2341, 2007, 2115, 16641, 1012, 3904, 1997, 2122, 2024, 7812, 1010, 2021, 2065, 2017, 2215, 2070, 9394, 2027, 2024, 5741, 2965, 1012, 2087, 2111, 7324, 1010, 2070, 2111, 2130, 3524, 2005, 2017, 2000, 7514, 2077, 2017, 2272, 1999, 1010, 1998, 2070, 2123, 1521, 1056, 8572, 2012, 2035, 1012, 2009, 2001, 2025, 13191, 2005, 2814, 1997, 1037, 18328, 2000, 2644, 2011, 1010, 2156, 1996, 18328, 2001, 2025, 2045, 1010, 1998, 2059, 10838, 2000, 2175, 2083, 1996, 9962, 18328, 1521, 1055, 2477, 2000, 1523, 17781, 1524, 2242, 1012, 2411, 1996, 2477, 1523, 11780, 1524, 2196, 2081, 2009, 2067, 1012, 2028, 3944, 1045, 2743, 2046, 2028, 1997, 2026, 2814, 1999, 1996, 2534, 4147, 2028, 1997, 2026, 11344, 1012, 2009, 2018, 2042, 24057, 1010, 2016, 1521, 1040, 5407, 13077, 3788, 2058, 2000, 2156, 2178, 2767, 1999, 2026, 19568, 1010, 1998, 2016, 2354, 2057, 2020, 2055, 1996, 2168, 2946, 1010, 2061, 2016, 1521, 1040, 2908, 1998, 1523, 11780, 1524, 2028, 1997, 3067, 1012, 2016, 2134, 1521, 1056, 2228, 1045, 1521, 1040, 2568, 1012, 2000, 2014, 4923, 1010, 2016, 2513, 2009, 1010, 8871, 1998, 15981, 6999, 1010, 2021, 2145, 1012, 2111, 11780, 14533, 28283, 11461, 1010, 25850, 24667, 1010, 11868, 19707, 2618, 1010, 25480 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 2142, 2163, 21566, 4450, 2154, 2023, 2733, 1010, 1037, 6209, 2008, 2001, 2580, 2000, 13415, 1996, 10974, 20285, 9288, 1999, 3190, 2006, 2089, 1018, 1010, 6929, 1012, 2054, 2211, 2004, 1037, 9379, 8320, 1999, 2490, 1997, 2019, 2809, 3178, 2147, 10259, 1006, 2087, 3667, 4450, 2098, 2005, 5408, 2847, 1007, 1010, 2004, 2092, 2004, 2000, 6186, 1996, 4288, 1997, 2176, 3667, 2011, 1996, 3190, 2610, 1010, 3092, 2007, 1037, 5968, 2108, 6908, 2046, 1996, 4306, 1012, 1996, 5968, 2730, 2698, 2610, 3738, 1010, 2176, 9272, 1998, 5303, 9877, 2062, 1012, 2809, 1523, 18448, 2015, 1524, 2020, 4727, 1010, 1998, 2698, 1997, 2068, 2020, 7331, 2000, 2331, 1012, 1996, 2724, 4427, 2089, 2154, 12035, 2105, 1996, 2088, 1998, 5201, 2000, 1996, 4125, 1997, 1996, 15511, 1998, 6102, 5750, 1012, 1999, 6837, 1010, 2007, 1996, 4125, 1997, 1996, 2142, 2110, 1521, 1055, 3919, 2453, 1010, 2343, 25242, 6044, 2772, 6094, 4526, 4450, 2154, 1999, 2244, 1516, 2025, 2089, 2000, 4468, 1996, 2523, 2007, 1523, 21633, 1524, 1998, 1523, 18448, 2015, 1012, 1524, 1996, 2809, 3178, 2147, 2154, 2005, 2512, 1011, 11819, 3667, 1999, 1996, 2142, 2163, 1010, 2174, 1010, 2052, 2025, 2468, 2375, 2127, 2343, 19597, 2078, 8573, 1521, 1055, 2047, 3066, 8818, 1999, 4347, 1012, 2651, 1521, 1055, 2149, 14877, 2003, 2053, 2936, 3952, 2920, 1999, 5814, 1012, 2612, 1010, 2009, 2003, 8857, 2006, 3716, 2147, 1010, 1998, 2216, 3667, 2024, 5307, 1037, 12058, 1997, 2689, 1012, 10478, 3171, 1998, 9230, 2749, 4139, 1998, 12888, 2012, 3795, 1998, 2334, 18730, 1012, 9694, 2147, 20283, 1998, 2974, 2562, 3667, 7887, 4198, 1012, 13296, 1010, 3451, 1998, 3423, 12363, 2024, 17903, 2471, 2673, 2055, 2129, 2147, 4152, 2589, 1012, 2096, 2023, 2733, 1521, 1055, 2659, 1057, 1012, 1055, 1012, 12163, 3446, 1997, 1019, 1012, 1015, 1003, 2003, 2204, 2739, 1010, 1996, 2019, 23238, 2278, 3105, 3930, 2193, 1997, 19410, 1010, 2199, 2003, 1037, 5142, 1012, 1996, 2149, 4450, 2486, 6577, 3446, 2003, 14205, 2135, 2659, 2012, 5786, 1012, 3438, 1003, 1012, 2008, 1521, 1055, 1996, 7290, 2009, 2038, 2042, 2144, 3355, 1516, 2091, 2013, 1996, 2152, 1997, 6163, 1012, 2382, 1003, 1999, 2456, 1012, 1031, 1045, 1033, 2054, 2003, 2183, 2006, 2041, 2045, 1029, 2000, 2022, 2469, 1010, 2070, 1997, 2023, 6689, 1999, 4450, 2486, 6577, 2003, 2349, 2000, 3336, 8797, 2545, 3048, 2125, 2000, 5075, 1010, 2348, 2027, 2024, 2725, 2061, 2012, 12430, 6165, 2084, 10173, 1012, 2070, 2402, 3667, 2024, 29391, 4443, 2046, 1996, 4450, 3006, 2000, 7323, 3020, 2495, 1012, 2023, 2003, 3115, 4933, 1012, 2054, 2842, 2003, 2183, 2006, 1029, 3958, 16271, 1010, 2132, 1997, 1996, 26033, 6279, 17888, 4034, 1010, 7164, 2045, 2003, 2062, 2183, 2006, 1012, 2002, 2038, 17787, 1996, 2880, 12163, 3446, 2004, 1037, 1523, 2502, 4682, 1524, 2008, 4321, 26663, 1996, 2506, 20272, 1997, 3742, 12163, 1999, 1996, 2142, 2163, 1012, 1031, 2462, 1033, 1996, 2149, 6577, 3446, 2005, 2273, 1010, 6353, 1003, 1999, 2251, 1010, 2718, 2049, 7290, 2504, 2412, 2006, 2501, 1010, 5306, 2067, 2000, 3882, 2043, 2009, 2001, 6564, 1003, 1012, 2116, 11708, 7499, 1996, 2125, 1011, 26822, 4892, 1997, 5814, 5841, 1998, 23750, 2389, 2810, 2147, 2005, 2023, 1012, 1996, 2273, 4995, 1521, 1056, 2894, 1012, 2690, 1011, 4793, 2308, 1010, 2040, 17858, 2587, 1996, 14877, 1999, 1996, 3955, 1998, 3865, 1010, 2024, 2085, 2975, 2009, 1012, 2096, 2116, 3032, 1999, 2885, 1998, 2900, 2036, 2227, 2714, 15982, 12878, 1010, 2009, 2003, 2069, 1996, 2149, 4450, 2486, 6577, 3446, 2008, 2003, 13993, 1012, 1031, 3523, 1033, 2339, 1029, 2149, 12678, 2031, 2042, 4030, 2000, 4982, 1999, 8741, 1997, 1996, 7233, 1516, 12678, 2024, 2039, 2069, 1016, 1003, 2023, 2627, 2095, 1012, 3522, 4450, 3930, 2038, 3952, 2042, 1999, 1996, 7027, 4753, 1010, 2073, 2087, 5841, 2024, 2659, 7079, 1012, 1031, 4921, 1033, 2023, 9874, 2038, 2042, 3427, 2011, 4450, 22171, 1010, 2107, 2004, 24249, 1521, 1055, 2848, 6178, 11880, 3669, 1010, 2040, 2758, 2008, 2045, 2003, 19840, 1999, 1996, 2149, 14877, 2138, 10571, 4450, 3464, 2006, 1996, 2217, 12735, 2127, 12678, 1998, 2551, 3785, 5335, 1012, 1031, 1058, 1033, 2097, 1996, 4803, 15445, 14877, 6039, 1996, 6578, 1029, 1996, 15445, 14877, 1999, 1996, 2149, 2003, 3652, 1998, 2085, 4832, 2012, 2861, 1003, 1012, 1031, 6819, 1033, 2070, 4487, 28745, 15532, 14782, 3667, 2031, 2179, 3407, 9277, 2045, 1012, 2672, 1012, 2913, 2031, 3491, 2008, 15445, 3667, 2031, 3816, 9967, 3798, 1012, 2981, 22283, 2024, 4659, 3407, 1010, 2021, 29023, 1010, 2006, 1011, 2655, 3667, 1010, 1998, 2112, 2051, 3667, 3227, 9544, 2383, 2440, 1011, 2051, 2147, 1010, 2062, 9211, 1998, 6666, 1012, 1031, 8890, 1033, 2174, 1010, 3350, 2005, 1996, 4125, 1997, 2969, 1011, 4846, 1523, 15453, 1524, 2147, 2030, 1996, 1523, 2006, 1011, 5157, 4610, 1524, 1010, 2073, 3667, 3073, 2037, 2578, 2083, 2536, 18726, 2074, 2004, 4708, 10442, 1010, 3802, 6508, 2030, 19169, 1010, 2003, 25085, 2004, 2190, 1012, 2429, 2000, 1996, 1057, 1012, 1055, 1012, 4450, 2533, 1996, 7017, 1997, 2969, 1011, 4846, 1998, 7754, 3667, 2038, 6430, 2013, 1022, 1012, 1019, 1003, 1999, 1996, 3054, 1011, 4134, 2000, 1020, 1012, 1019, 1003, 2023, 2095, 1012, 1031, 9937, 1033, 2122, 15445, 14877, 3616, 2079, 3713, 2000, 1037, 14684, 6826, 1999, 1996, 14877, 1012, 3383, 1996, 12441, 9366, 1997, 4846, 1998, 18787, 2515, 2025, 6611, 4902, 1012, 3667, 1999, 6653, 1010, 3251, 2027, 2024, 1996, 18787, 1010, 3080, 3667, 1999, 6653, 1010, 3324, 1010, 2267, 2493, 1010, 2030, 2047, 7489, 2024, 11828, 2116, 4522, 2000, 2147, 3875, 2440, 2051, 6107, 1012, 2060, 19377, 2013, 1996, 2627, 2733, 2391, 2000, 2062, 2689, 2702, 2086, 3283, 1010, 2017, 2876, 1521, 1056, 2031, 3517, 2000, 2156, 2023, 3247, 2013, 2320, 1011, 25786, 1998, 9525, 2002, 13668, 6582, 24100, 1024, 21707, 5126, 1999, 2049, 11587, 6960, 2578, 2449, 2024, 2108, 3253, 2981, 13666, 4395, 1999, 1037, 2367, 2194, 1010, 2030, 2842, 2227, 12163, 2007, 2053, 7367, 21998, 1012, 2116, 1997, 1996, 5892, 5841, 2097, 2022, 2864, 2011, 19309, 1998, 2333, 12195, 1012, 1031, 11814, 1033, 2698, 2086, 3283, 1010, 16889, 2075, 1037, 9298, 3223, 1037, 5189, 13300, 1998, 11245, 1010, 2025, 2019, 10439, 1012, 2096, 19169, 1998, 1048, 2100, 6199, 2031, 2580, 14057, 2974, 2008, 12939, 2037, 6304, 2000, 12453, 1037, 4536, 1010, 2027, 2031, 2036, 8315, 1996, 15182, 1997, 7904, 6431, 15445, 3667, 1012, 4487, 28745, 15532, 14782, 6853, 2031, 2579, 19169, 2000, 2457, 1012, 1037, 2976, 3648, 5451, 2023, 2733, 2008, 1996, 3423, 2553, 1997, 2093, 19169, 6853, 2064, 2022, 6219, 2004, 1037, 2465, 2895, 9870, 1012, 1031, 1060, 1033, 2045, 2024, 2312, 21892, 2005, 3316, 2008, 2131, 7309, 15182, 3308, 1012, 2024, 3316, 2066, 19169, 2108, 9525, 1998, 6183, 2114, 25963, 4450, 4277, 1010, 2030, 3432, 3617, 8350, 1029, 2274, 2086, 3283, 1010, 2931, 5766, 2015, 15839, 2081, 19377, 1516, 2045, 2074, 4694, 1521, 1056, 2200, 2116, 1997, 2068, 999, 1998, 2196, 2106, 2027, 2191, 19377, 2005, 8074, 1996, 4182, 1997, 8178, 1012, 2664, 1010, 20643, 5766, 22767, 14687, 2106, 2023, 2733, 2011, 13856, 2008, 2016, 2052, 2202, 2069, 2048, 3134, 2125, 2005, 23676, 2681, 2738, 2084, 1996, 16120, 2416, 3134, 2005, 3825, 2966, 2681, 1998, 4376, 3134, 1997, 4718, 2721, 1012, 14687, 8821, 2363, 1037, 3972, 22890, 1997, 6256, 2005, 1996, 3532, 2742, 2016, 2003, 4292, 2005, 2402, 2308, 1012, 1045, 2123, 1521, 1056, 2228, 2008, 2003, 4189, 1012, 2057, 2035, 2031, 2000, 2191, 9804, 1516, 2273, 1998, 2308, 11455, 1012, 22767, 14687, 2003, 1010, 2044, 2035, 1010, 1037, 5766, 8084, 2000, 17995, 1037, 4435, 1012, 2007, 1996, 2152, 3318, 2008, 3632, 2247, 2007, 2014, 13433, 28032, 2239, 1010, 2016, 2064, 8984, 16660, 15580, 2012, 2188, 1010, 1037, 2279, 1011, 2000, 1011, 1996, 1011, 2436, 13640, 1010, 1998, 3649, 2060, 2490, 2016, 3791, 1012, 2005, 2060, 2308, 1010, 2166, 1521, 1055, 18402, 2089, 2022, 2367, 1012, 2116, 2047, 10756, 2089, 2215, 2000, 5247, 1996, 2034, 4376, 3134, 2030, 4376, 2706, 2007, 2037, 3336, 2000, 2433, 1037, 2166, 1011, 2146, 5416, 1012, 2005, 2070, 11397, 1010, 2009, 2089, 2022, 1996, 2168, 1012, 2054, 2003, 1999, 3573, 2005, 1996, 2925, 1029, 1999, 1037, 3522, 3277, 1997, 1996, 4448, 1010, 7256, 5953, 9251, 2008, 2974, 2089, 22505, 8817, 1997, 5841, 1998, 2008, 2009, 2071, 2022, 1037, 2204, 2518, 999, 2097, 2057, 2468, 1037, 14877, 1997, 2112, 2051, 3667, 2725, 3674, 2112, 1011, 2051, 1523, 20929, 1524, 2007, 2087, 1997, 1996, 2147, 2108, 2589, 2011, 13507, 1010, 2004, 7256, 5953, 6083, 1029, 1031, 8418, 1033, 2054, 2000, 2079, 2007, 2035, 2008, 2489, 2051, 1029, 1045, 7714, 2293, 13039, 2247, 1996, 4153, 1998, 2006, 3137, 9612, 1010, 2021, 1045, 2903, 2009, 2052, 4558, 2049, 11084, 2065, 1045, 2106, 2009, 2296, 2154, 1012, 2065, 1045, 2018, 1996, 4706, 5848, 1010, 1045, 2052, 2293, 2000, 4339, 6002, 2066, 10501, 3396, 7799, 4116, 9959, 1012, 2005, 2033, 1010, 2009, 2003, 2524, 2000, 3746, 2008, 12257, 2064, 5672, 1996, 3168, 1997, 24718, 1045, 2131, 2013, 2147, 1998, 1996, 4254, 2009, 2038, 2006, 2500, 1012, 4661, 1010, 2256, 4610, 3791, 2092, 3825, 10390, 2000, 4965, 4933, 999, 1996, 2755, 2003, 1010, 2087, 3667, 2215, 2062, 3171, 3036, 1998, 9211, 2084, 2027, 2031, 2157, 2085, 1010, 1998, 1037, 2166, 2008, 4473, 2068, 2000, 7323, 2037, 25289, 1998, 2000, 2131, 3825, 7199, 2005, 2009, 1012, 2065, 2017, 2123, 1521, 1056, 2903, 2033, 1010, 2175, 2000, 1037, 15941, 12055, 2030, 6221, 8398, 8320, 1012, 1998, 1010, 12433, 1029, 2054, 2024, 2027, 2000, 2079, 1999, 2122, 5278, 2335, 1029, 2057, 2113, 2008, 3316, 2024, 2087, 3144, 2043, 2037, 4177, 3443, 2836, 1011, 2241, 8578, 1012, 2122, 4177, 25705, 2037, 5126, 1521, 23807, 9587, 29068, 18926, 2007, 2037, 2194, 1521, 1055, 3800, 1010, 3073, 15563, 1999, 3435, 1011, 5278, 10058, 1010, 2599, 2007, 26452, 1998, 7861, 11452, 2037, 14877, 2015, 2000, 9510, 1012, 2027, 3073, 3667, 2007, 5377, 12247, 1010, 1037, 3168, 1997, 6344, 1998, 6695, 2005, 12607, 1012, 12433, 2323, 8849, 1996, 7047, 1997, 15445, 2147, 1998, 2974, 7248, 2000, 6855, 1996, 11532, 2027, 2342, 2000, 13711, 1996, 5566, 14767, 1997, 2037, 3180, 14877, 2015, 1998, 6133, 2146, 2744, 5366, 1012, 1999, 2725, 2061, 1010, 2027, 2342, 2000, 2191, 2469, 15445, 3667, 2024, 13115, 2000, 2037, 3800, 1998, 6481, 1012, 2027, 2036, 2342, 2000, 2022, 2568, 3993, 1997, 1996, 3423, 15182, 1997, 3180, 6107, 1998, 15445, 2147, 2000, 4468, 1996, 2270, 4053, 2000, 2037, 5891, 2015, 1998, 1996, 5366, 1997, 20543, 1998, 7617, 1012, 12433, 11276, 2000, 2224, 2800, 6786, 2000, 3073, 3716, 3667, 2007, 1996, 16991, 2000, 6133, 2037, 2147, 1011, 2166, 1011, 8346, 1012, 2470, 2038, 10862, 3491, 2008, 2122, 4372, 7138, 6675, 12433, 2064, 2640, 9525, 2147, 10058, 2007, 2062, 13318, 1998, 8884, 3667, 1998, 2064, 3828, 1002, 2184, 2243, 2000, 1002, 2322, 2243, 2566, 7309, 2566, 2095, 1012, 2633, 1010, 12433, 2342, 2000, 2994, 2485, 2000, 2037, 16014, 3512, 20390, 1997, 7904, 8147, 1998, 3006, 1011, 5533, 9430, 1012, 2004, 1996, 4450, 3006, 21245, 2015, 1010, 1996, 2190, 5126, 1998, 16728, 2097, 2681, 2005, 3020, 7079, 2147, 1998, 2062, 11973, 10058, 1012, 1996, 4254, 2006, 1996, 4450, 2486, 1998, 2256, 3226, 2011, 2925, 19309, 1998, 7976, 4454, 2089, 2031, 2000, 3524, 2005, 1037, 2261, 5109, 2091, 1996, 2346, 999, 2006, 2023, 4450, 2154, 1010, 1999, 2122, 5278, 2335, 1010, 1045, 16755, 2057, 8439, 2007, 2814, 1998, 2155, 1010, 7065, 17417, 2102, 2256, 18402, 1010, 1998, 17409, 1996, 8995, 4109, 1997, 2256, 3268, 2000, 3443, 1037, 15902, 2878, 1012, 5125, 4632, 4215, 2003, 1037, 6143, 2529, 4219, 8930, 1998, 3237, 2873, 2040, 2573, 2007, 3145, 3247, 11153, 1998, 2529, 4219, 4177, 2006, 5848, 2968, 1010, 29494, 2689, 1010, 4105, 2458, 1010, 1998, 2060, 6143, 11107, 1010, 2107, 2004, 28585, 1998, 19530, 1010, 5656, 7375, 1010, 1998, 12379, 16165, 1012, 3967, 5125, 2005, 1037, 2489, 2028, 1011, 3178, 5656, 5219, 2012, 10373, 1030, 2742, 1012, 4012, 1012, 3942, 5125, 1521, 1055, 4037, 2012, 7479, 1012, 5125, 8093, 8663, 23722, 5794, 2102, 1012, 4012, 2000, 8816, 2010, 2489, 17850, 2317, 23298, 2015, 1998, 3191, 2062, 1997, 2010, 9927, 8466, 1012, 1031, 1045, 1033, 1523, 2142, 2163, 4450, 2486, 6577, 3446, 1010, 3925, 1011, 2325, 1010, 1524, 6202, 5543, 1012, 2179, 2012, 8299, 1024, 1013, 1013, 7479, 1012, 6202, 23035, 2015, 1012, 4012, 1013, 2142, 1011, 2163, 1013, 4450, 1011, 2486, 1011, 6577, 1011, 3446, 1012, 1031, 2462, 1033, 7213, 11317, 1006, 2251, 3822, 1010, 2325, 1007, 1523, 2149, 4450, 2486, 6577, 3446, 4978, 7290, 2504, 1999, 3053, 2176, 5109, 1010, 1524, 2179, 2012, 16770, 1024, 1013, 1013, 7479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2142, 2163, 1006, 2149, 1007, 3573, 3408, 1004, 3785, 3531, 3191, 2122, 3408, 1998, 3785, 5362, 2077, 2478, 2023, 4037, 1012, 2023, 4037, 1010, 2061, 29243, 10085, 2666, 3723, 1012, 4012, 1998, 2049, 4180, 2003, 3079, 2011, 2061, 4817, 2554, 13866, 2100, 5183, 1516, 11113, 2078, 6391, 4185, 2509, 2753, 2683, 5345, 2487, 2115, 2224, 1997, 2023, 4037, 17367, 2115, 3820, 2000, 2022, 5391, 2011, 2122, 3408, 1998, 3785, 1998, 2035, 2060, 3408, 1010, 3785, 1998, 5860, 19771, 16862, 2006, 1996, 4037, 1006, 1996, 1523, 3408, 1998, 3785, 1524, 1007, 1012, 2011, 5719, 2000, 2224, 2023, 4037, 1010, 2017, 5993, 2000, 2022, 5391, 2011, 1996, 3408, 1998, 3785, 1012, 2065, 2017, 2079, 2025, 5993, 2000, 1996, 3408, 1998, 3785, 1010, 2017, 2442, 2644, 2478, 1996, 4037, 3202, 1012, 2061, 4817, 2554, 2089, 8137, 1010, 5587, 1010, 2689, 2030, 3972, 12870, 2151, 2112, 1997, 1996, 3408, 1998, 3785, 1010, 2030, 1996, 4037, 1010, 2012, 2151, 2051, 1010, 1998, 2005, 2151, 3114, 2302, 3188, 26828, 2000, 2017, 1010, 1998, 2061, 4817, 2554, 2097, 2025, 2022, 20090, 1999, 2151, 2126, 2005, 2825, 8465, 1997, 2107, 3431, 1012, 2017, 2024, 3625, 2005, 15252, 2035, 2592, 3024, 2006, 2023, 4037, 2164, 2122, 3408, 1998, 3785, 2169, 2051, 3188, 2000, 2478, 2023, 4037, 2164, 2043, 13063, 2151, 3688, 2030, 2578, 2013, 2061, 4817, 2554, 1012, 2224, 1997, 4037, 2017, 2442, 14037, 2007, 2035, 4277, 1999, 4434, 2007, 2115, 2224, 1997, 2023, 4037, 1012, 2017, 2442, 2025, 2079, 2151, 1997, 1996, 2206, 1024, 1011, 2951, 3067, 2030, 6204, 12978, 17193, 2006, 2023, 4037, 1012, 1011, 19818, 2151, 7865, 2030, 2060, 3274, 4730, 23964, 2008, 2089, 4053, 1010, 19933, 1010, 3972, 12870, 1010, 29172, 2135, 15115, 2007, 1010, 7505, 2890, 13876, 25090, 13453, 19115, 1010, 3229, 2302, 3691, 2030, 4654, 21572, 18098, 13143, 2151, 2291, 1010, 2951, 2030, 3167, 2592, 2800, 2083, 2023, 4037, 1012, 1011, 2224, 2023, 4037, 2030, 2151, 2592, 2081, 2800, 2083, 2023, 4037, 2000, 4604, 4895, 19454, 28775, 3064, 22028, 2030, 2060, 7696, 2302, 2061, 4817, 2554, 1521, 1055, 9619, 1012, 1011, 2224, 1997, 2151, 6882, 5080, 2030, 6410, 2832, 2000, 8080, 2030, 6100, 2151, 2112, 1997, 1996, 4037, 1012, 1011, 13265, 2151, 1997, 1996, 4180, 2006, 2023, 4037, 2007, 2151, 2060, 3430, 1010, 2164, 6475, 2030, 10319, 3430, 1012, 1011, 3443, 8299, 6971, 2013, 2023, 4037, 2000, 2151, 2060, 4037, 2006, 1996, 4274, 1010, 2030, 4853, 2030, 5259, 2023, 4037, 1025, 2030, 1011, 17214, 4842, 2007, 2030, 2191, 14477, 14317, 21239, 2098, 12719, 2000, 2023, 4037, 2030, 1996, 4180, 1997, 2023, 4037, 1012, 2437, 4449, 2005, 3688, 2030, 2578, 2013, 2061, 4817, 2554, 2151, 2344, 2872, 2011, 2017, 3081, 2023, 4037, 2003, 2019, 3749, 2011, 2017, 2000, 5309, 1037, 3327, 4031, 2005, 1996, 3976, 1006, 2164, 1996, 6959, 1998, 2060, 5571, 1007, 9675, 2006, 2023, 4037, 2012, 1996, 2051, 2017, 2173, 2115, 2344, 1012, 2017, 13399, 2008, 1010, 2011, 6885, 2115, 2344, 1010, 2017, 2024, 16191, 2000, 3477, 2005, 1998, 5138, 6959, 1997, 1996, 3688, 2030, 2578, 3641, 4983, 2017, 3198, 2149, 2000, 17542, 2008, 2344, 2077, 2061, 4817, 2554, 13385, 1998, 23283, 2115, 3749, 2000, 5309, 1996, 3688, 2030, 2578, 2006, 1996, 4037, 1012, 2061, 4817, 2554, 2089, 5478, 3176, 22616, 2030, 2592, 2077, 10564, 2151, 2344, 1012, 2073, 7936, 1010, 2061, 4817, 2554, 8269, 1996, 2157, 2000, 5787, 4341, 1010, 2164, 1996, 2157, 2000, 23469, 4341, 2000, 2128, 1011, 19041, 1012, 2035, 7597, 2024, 1999, 2827, 6363, 1006, 8740, 2094, 1007, 1998, 18678, 1997, 28177, 2102, 4983, 4728, 9675, 1012, 7597, 6913, 2006, 2023, 4037, 2024, 2783, 2012, 1996, 2051, 1997, 3277, 1010, 2021, 2089, 2689, 2012, 2151, 2051, 1998, 2024, 3395, 2000, 11343, 1012, 7597, 1998, 11343, 1997, 3688, 1998, 2578, 2024, 3395, 2000, 2689, 2302, 5060, 1012, 7597, 1997, 3688, 2030, 2578, 2872, 1999, 1996, 11122, 2021, 2025, 3825, 2005, 2024, 2036, 3395, 2000, 2689, 1998, 2017, 5993, 2000, 3477, 1996, 3976, 2783, 2012, 1996, 2051, 1997, 7909, 1012, 2096, 2296, 3947, 2038, 2042, 2081, 2000, 5676, 1996, 10640, 1997, 7597, 1010, 4871, 1998, 2592, 6913, 2006, 2023, 4037, 1010, 2061, 4817, 2554, 2003, 2025, 3625, 2005, 2151, 7561, 1998, 8269, 1996, 2157, 2000, 5138, 2030, 15454, 2115, 3749, 2005, 2151, 3114, 1010, 2164, 2302, 22718, 1010, 1996, 14477, 3567, 11733, 8553, 1997, 2151, 4031, 1010, 2019, 7561, 1999, 1996, 3976, 1010, 3746, 2030, 1996, 4031, 6412, 6866, 2006, 2023, 4037, 1010, 2030, 2019, 7561, 1999, 2115, 2344, 1012, 5971, 1998, 17264, 6304, 2065, 2017, 2024, 1037, 5971, 2030, 17264, 8013, 2030, 2052, 2066, 2000, 2022, 1010, 3531, 3967, 2061, 4817, 2554, 3495, 2007, 2440, 4751, 1997, 2115, 2449, 2164, 2449, 2030, 2194, 2171, 1010, 11113, 2078, 1013, 9353, 2078, 1998, 4769, 1012, 2061, 4817, 2554, 2097, 3319, 2115, 11395, 2005, 2878, 12002, 2075, 1998, 1010, 2065, 2061, 4817, 2554, 10592, 2017, 7792, 2005, 5971, 2030, 17264, 2578, 1010, 2061, 4817, 2554, 2089, 3073, 2017, 2007, 1037, 17264, 3976, 2862, 1010, 2582, 4751, 1997, 6263, 2344, 5918, 1998, 2151, 2060, 3408, 2008, 2089, 6611, 1999, 2804, 2030, 1999, 6110, 1997, 2151, 1997, 2122, 3408, 1998, 3785, 1012, 2061, 4817, 2554, 2089, 1010, 1999, 2049, 2561, 19258, 1998, 2302, 2151, 14422, 2030, 14000, 2000, 2017, 1024, 1006, 1037, 1007, 5478, 2582, 2151, 3327, 2015, 2013, 2017, 2008, 2061, 4817, 2554, 9266, 5244, 4072, 2005, 1996, 5682, 1997, 2437, 2019, 7667, 2055, 2115, 11395, 2004, 1037, 5971, 2030, 17264, 8013, 1025, 1998, 1006, 1038, 1007, 10214, 2000, 3073, 2017, 2007, 5971, 2030, 17264, 2578, 1012, 2061, 4817, 2554, 13385, 10504, 2478, 18247, 1010, 1037, 5851, 2353, 2283, 7909, 4322, 1012, 2061, 4817, 2554, 2515, 2025, 3573, 2115, 4923, 4003, 4751, 1012, 2065, 2115, 7909, 26451, 2012, 1996, 2391, 1997, 5309, 1010, 2061, 4817, 2554, 2089, 2025, 4374, 2151, 26828, 1997, 1996, 2344, 2108, 2872, 1998, 2009, 2003, 2039, 2000, 2017, 2000, 2128, 8551, 2121, 1996, 3688, 1998, 1013, 2030, 2000, 3967, 2149, 2000, 12210, 24306, 1997, 2115, 2344, 1012, 5819, 2061, 4817, 2554, 2097, 2191, 2296, 9608, 3947, 2000, 5676, 4518, 11343, 2003, 2039, 2000, 3058, 1010, 2045, 2089, 2022, 2335, 2043, 3688, 2024, 2041, 1997, 4518, 1012, 2065, 2017, 2344, 1037, 4031, 2008, 2038, 2853, 2041, 1010, 2061, 4817, 2554, 2097, 3967, 2017, 2076, 2449, 2847, 2000, 1024, 1006, 1037, 1007, 2025, 8757, 2017, 1997, 1996, 15796, 8536, 1999, 17731, 2017, 2007, 2115, 2344, 1025, 1006, 1038, 1007, 6592, 2019, 4522, 4031, 2065, 6413, 1025, 2030, 1006, 1039, 1007, 13621, 1037, 25416, 8630, 1012, 7829, 1998, 6959, 2035, 4449, 2024, 13995, 1998, 14501, 2306, 1015, 1011, 1017, 2449, 2420, 1997, 7909, 2108, 5985, 1012, 2115, 2344, 2097, 2022, 2741, 3081, 2660, 2695, 2030, 18092, 1012, 3531, 3499, 2039, 2000, 1021, 2449, 2420, 2005, 6959, 1999, 2660, 1012, 3541, 2030, 3164, 2752, 2089, 4297, 3126, 3176, 14350, 1999, 6959, 1006, 1041, 2290, 1010, 2039, 2000, 2403, 2449, 2420, 1007, 1998, 2017, 13399, 1998, 5138, 2008, 2023, 2003, 2041, 1997, 2061, 4817, 2554, 1521, 1055, 2491, 1998, 2057, 2024, 2025, 3625, 4496, 20090, 2005, 2151, 14350, 1999, 6959, 1012, 2035, 4449, 1999, 2660, 2058, 1002, 2753, 2024, 2489, 1997, 7829, 5571, 4983, 4728, 9675, 2011, 2149, 1012, 4449, 2648, 2660, 2024, 2741, 3081, 2660, 2695, 1012, 3531, 3499, 3155, 2403, 2420, 2005, 6959, 1010, 1998, 10373, 2149, 2012, 10373, 1030, 2742, 1012, 4012, 2005, 2151, 10861, 5134, 1999, 7189, 2000, 2115, 2344, 1012, 5366, 1997, 7829, 2648, 1997, 2660, 2097, 2022, 10174, 2012, 4638, 5833, 5834, 2006, 2115, 2406, 1998, 3635, 1997, 2344, 1012, 3691, 2000, 2681, 2115, 2344, 2089, 2022, 2187, 2012, 2115, 10345, 2065, 2053, 2028, 2003, 2012, 2188, 1012, 2017, 5993, 2008, 1996, 3688, 3641, 2011, 2017, 2024, 8357, 2363, 2043, 2187, 2012, 2115, 10345, 1012, 2061, 4817, 2554, 2097, 2025, 2022, 3625, 2005, 28998, 3970, 2011, 1037, 2353, 2283, 2030, 2019, 3691, 2000, 2681, 1012, 2061, 4817, 2554, 1998, 16728, 3378, 2007, 1996, 6959, 2079, 2025, 5138, 5368, 2005, 2151, 3279, 2030, 4053, 2029, 3463, 2013, 2023, 3691, 2000, 2681, 6959, 4118, 1012, 2017, 5993, 2000, 2713, 2061, 4817, 2554, 2013, 1998, 2114, 2151, 1998, 2035, 4447, 1010, 7670, 1010, 22393, 14680, 1010, 6409, 1010, 5366, 1998, 11727, 1010, 2164, 3361, 1998, 2060, 9530, 3366, 15417, 4818, 6409, 1010, 2081, 1010, 4265, 2030, 22667, 2011, 2017, 2030, 2151, 2060, 2711, 2030, 9178, 2004, 1037, 2765, 1997, 2023, 3691, 2000, 2681, 1012, 2065, 2017, 2079, 2025, 4299, 2000, 2507, 2061, 4817, 2554, 3691, 2000, 2681, 1010, 2017, 2442, 2025, 8757, 2149, 1999, 3015, 2012, 1996, 2051, 1997, 6885, 2115, 2344, 1998, 2017, 2097, 2031, 2000, 2022, 2012, 2115, 10345, 1999, 2344, 2005, 1996, 6959, 2000, 5258, 1012, 2516, 1998, 3891, 2516, 2000, 3688, 4156, 2006, 2023, 4037, 2515, 2025, 3413, 2013, 2061, 4817, 2554, 2000, 2017, 2127, 2061, 4817, 2554, 2038, 2363, 7909, 1999, 2440, 2005, 1996, 3688, 1012, 2035, 3891, 1999, 1996, 3688, 5235, 2000, 2017, 2588, 6959, 2000, 2115, 4222, 4769, 1012, 3531, 3967, 2149, 2012, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 2323, 2017, 2031, 2151, 3980, 2055, 2256, 22981, 2326, 1012, 25416, 26698, 1998, 15800, 5651, 1998, 15800, 2005, 2689, 1997, 2568, 2030, 2005, 2115, 27118, 2094, 16874, 4765, 16542, 3601, 1997, 4031, 2024, 3227, 2025, 2800, 1012, 2065, 2115, 4031, 2003, 28927, 1010, 28829, 1010, 2025, 2004, 2649, 2011, 2149, 1010, 2025, 4906, 2005, 3800, 2030, 2004, 4728, 2275, 2041, 2104, 2827, 7325, 4277, 1010, 2017, 2097, 2022, 4709, 2000, 6110, 1010, 25416, 8630, 2030, 1037, 3573, 4923, 1012, 2065, 2017, 4299, 2000, 2709, 2115, 4031, 2005, 1037, 25416, 8630, 2030, 3863, 1006, 2030, 3573, 4923, 1007, 2115, 4031, 1010, 2017, 2442, 10373, 2149, 2012, 10373, 1030, 2742, 1012, 4012, 2306, 2184, 2420, 1997, 4909, 2115, 4031, 1012, 2115, 10373, 2442, 2421, 2115, 2440, 2171, 1010, 6947, 1997, 5309, 4751, 1010, 1998, 3251, 2017, 2052, 2066, 1037, 25416, 8630, 1010, 3863, 2030, 3573, 4923, 1012, 2115, 11061, 2323, 2421, 1037, 4031, 6412, 1998, 1996, 4436, 2005, 17942, 1037, 25416, 8630, 1010, 3863, 2030, 3573, 4923, 1012, 2065, 2057, 5993, 2000, 5138, 2115, 5227, 2005, 1037, 25416, 8630, 2030, 3863, 1006, 2030, 3573, 4923, 1007, 1010, 2009, 2003, 2145, 3395, 2000, 1010, 1998, 18462, 2588, 1996, 2206, 1024, 1011, 2115, 4031, 2442, 2022, 2513, 2000, 2061, 4817, 2554, 2306, 2184, 2420, 1998, 2421, 2115, 6947, 1997, 5309, 1998, 1037, 6100, 1997, 1996, 10373, 13964, 1012, 5167, 2513, 2044, 1996, 2184, 2154, 2558, 2097, 2025, 2022, 3970, 1998, 2097, 2022, 12057, 2067, 2000, 2017, 1012, 1011, 2115, 4031, 2323, 2022, 2513, 1999, 2019, 23263, 9474, 2695, 4524, 1013, 3482, 1998, 1010, 4983, 1996, 4031, 2003, 28927, 2030, 4728, 28829, 1998, 2107, 6346, 2030, 21262, 2038, 2025, 2042, 3303, 2011, 2017, 1010, 2442, 2022, 15171, 1010, 4895, 11020, 8609, 7690, 1010, 2025, 8776, 1998, 1999, 2049, 2434, 14793, 1012, 2035, 2434, 13945, 1998, 22073, 2323, 2022, 4987, 1998, 1996, 4031, 2323, 2022, 1999, 2049, 2434, 4650, 1012, 1011, 2043, 4192, 1037, 4031, 2000, 2149, 1010, 2009, 2003, 2115, 5368, 2127, 2009, 6561, 2149, 2012, 2061, 4817, 2554, 1012, 2061, 4817, 2554, 2097, 2025, 2022, 3625, 2005, 2151, 5167, 5591, 2030, 2439, 2076, 6671, 1012, 1011, 2035, 3688, 2108, 2513, 2442, 2022, 2741, 2000, 1996, 4769, 3024, 2000, 2017, 2011, 2061, 4817, 2554, 2043, 2017, 3967, 2149, 1012, 1011, 2588, 24306, 1997, 2115, 2709, 1010, 1996, 4031, 2097, 2022, 20456, 2000, 2156, 2065, 2009, 4012, 24759, 3111, 2007, 2256, 5651, 1998, 3863, 3343, 1012, 2061, 4817, 2554, 8269, 1996, 2157, 2025, 2000, 5138, 1037, 5227, 2005, 25416, 8630, 1010, 3863, 2030, 3573, 4923, 2005, 2151, 4031, 2008, 2003, 2025, 28927, 1998, 1013, 2030, 4212, 2648, 2256, 5651, 1998, 3863, 3343, 1012, 2061, 4817, 2554, 2097, 12367, 2017, 3081, 10373, 2004, 2000, 3251, 2030, 2025, 2061, 4817, 2554, 2097, 3073, 2017, 2007, 1037, 25416, 8630, 2030, 3863, 1012, 1011, 2073, 2061, 4817, 2554, 3640, 2017, 2007, 1037, 3573, 4923, 1010, 2008, 4923, 2003, 9398, 2005, 1020, 2706, 2013, 1996, 3058, 2115, 2513, 4031, 2003, 2363, 1012, 1011, 2061, 4817, 2554, 2069, 5138, 5651, 1013, 15800, 2005, 2256, 3688, 4156, 3081, 2256, 4037, 1012, 2061, 4817, 2554, 2079, 2025, 5138, 5651, 2030, 15800, 2005, 3688, 2853, 1013, 3024, 2011, 2028, 1997, 2256, 4518, 5130, 1013, 22495, 1012, 1011, 2065, 2017, 2052, 2066, 2000, 3863, 2115, 4031, 2005, 1037, 2367, 4031, 1010, 1998, 2061, 4817, 2554, 10217, 2000, 3863, 2008, 4031, 1010, 2017, 5993, 2000, 3477, 2151, 4489, 1999, 3976, 2008, 2089, 6611, 1012, 1011, 2035 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2044, 1996, 8833, 2549, 3501, 18130, 3369, 2074, 1999, 2051, 2005, 1996, 11938, 2197, 2733, 1010, 3068, 3422, 2545, 1998, 16475, 3366, 3597, 4523, 4013, 2015, 4999, 1024, 2003, 2023, 2633, 16941, 3366, 10841, 15780, 1005, 1055, 2146, 1011, 19605, 12547, 2617, 1029, 2044, 2035, 1010, 2023, 2785, 1997, 16941, 3366, 10841, 15780, 6634, 2003, 2485, 2000, 3352, 1037, 12142, 4535, 1012, 2197, 2285, 1010, 4311, 2211, 2000, 3302, 2055, 2178, 5294, 3036, 5325, 2007, 1996, 5943, 11101, 2015, 12510, 1010, 2029, 2145, 3464, 1037, 9207, 1997, 2886, 1012, 2077, 2008, 1010, 1999, 2254, 2760, 1010, 2178, 2521, 1011, 4285, 16941, 3366, 10841, 15780, 3277, 4110, 19377, 2007, 1996, 14899, 7698, 1998, 28699, 7913, 24728, 19666, 6906, 14680, 1012, 16475, 3366, 3597, 4523, 8519, 2211, 9391, 29034, 2055, 2019, 17945, 1000, 16941, 1023, 1013, 2340, 1000, 1999, 2760, 2004, 2092, 1010, 5432, 2008, 2065, 1996, 3068, 2134, 1005, 1056, 2131, 2049, 3036, 2552, 2362, 1010, 4187, 3617, 3001, 2013, 9871, 5733, 2000, 2373, 16548, 2071, 2022, 9416, 1999, 9280, 9252, 4491, 1012, 2021, 1999, 10476, 1010, 1996, 16475, 11923, 3036, 2110, 1997, 1996, 2396, 2018, 2025, 3236, 2039, 2007, 2412, 1011, 4852, 3036, 12510, 2229, 1012, 3041, 2023, 2095, 1010, 1037, 2152, 1011, 6337, 16941, 3366, 10841, 15780, 3277, 2106, 7461, 1037, 4187, 9710, 2007, 1996, 5336, 13117, 12510, 1012, 2085, 1010, 1999, 1037, 2095, 2008, 2153, 2275, 2636, 2005, 1996, 2193, 1998, 10194, 1997, 16941, 3366, 10841, 15780, 12510, 2229, 1010, 1996, 8833, 2549, 3501, 18130, 2038, 6532, 3031, 1996, 3496, 1012, 1996, 11829, 1999, 2019, 2330, 3120, 15899, 9710, 2005, 9262, 1011, 2241, 5097, 2064, 3499, 17857, 2000, 4089, 5114, 2491, 2058, 2353, 1011, 2283, 3001, 2011, 6016, 1037, 4471, 4820, 1037, 3722, 3642, 5164, 1012, 1996, 9710, 1010, 8833, 2549, 3501, 1016, 1010, 2003, 11157, 1999, 2116, 2759, 4773, 2578, 1998, 3001, 1012, 1000, 1996, 13494, 1997, 1996, 14427, 1997, 2023, 18130, 2003, 1996, 4933, 1997, 2026, 15446, 1010, 1000, 2056, 2280, 2317, 2160, 25022, 2080, 14781, 28666, 1010, 2085, 1996, 5766, 1997, 1037, 3036, 10552, 3813, 1010, 1999, 1037, 2270, 4861, 3843, 2083, 1037, 15974, 2023, 2733, 1012, 1000, 8833, 2549, 3501, 2003, 1012, 1012, 1012, 16021, 28173, 3560, 1998, 5023, 1998, 2025, 3929, 1999, 1996, 2491, 1997, 1996, 20199, 2080, 1012, 5933, 1998, 4531, 2023, 18130, 5942, 3071, 2008, 1005, 1055, 1037, 20273, 1012, 1012, 1012, 1031, 2040, 1033, 2064, 2022, 4722, 3095, 1010, 21100, 8162, 11788, 2458, 1010, 12195, 2458, 1998, 2353, 1011, 2283, 17088, 1012, 1000, 14781, 28666, 14192, 2121, 2317, 2160, 25022, 2080, 2947, 1010, 2085, 2052, 2022, 1037, 2307, 2051, 2005, 2296, 3617, 6960, 2000, 2031, 3036, 1011, 5204, 4007, 6145, 1010, 11778, 19309, 2008, 2064, 2855, 11487, 1998, 10210, 28731, 1996, 18130, 1998, 1037, 2844, 10616, 2006, 2353, 1011, 2283, 4007, 4425, 8859, 1011, 1011, 16475, 3366, 3597, 4523, 1010, 1999, 2060, 2616, 1012, 2021, 2116, 1010, 2065, 2025, 2087, 1010, 2079, 2025, 1012, 6516, 1996, 3496, 2197, 5353, 1024, 11422, 2013, 3067, 10419, 2000, 6112, 10258, 12069, 2020, 9280, 8211, 2000, 6556, 3642, 7781, 4491, 1998, 2009, 4013, 2015, 13501, 2000, 10210, 28731, 1996, 3277, 1010, 2029, 1999, 2116, 3572, 3223, 20398, 17904, 5371, 1011, 2504, 27404, 2306, 3365, 3001, 1012, 2437, 5609, 4788, 1010, 2070, 3316, 1011, 1011, 2164, 2070, 2312, 2009, 4007, 17088, 1011, 1011, 2024, 2145, 11538, 3251, 1996, 8211, 2544, 1997, 1996, 3075, 6526, 1999, 2037, 3688, 1012, 2130, 2009, 4411, 2007, 1996, 3277, 2092, 1999, 2192, 16058, 2442, 3524, 2000, 2022, 19488, 2011, 2353, 1011, 2283, 17088, 2055, 3251, 2027, 2024, 8211, 2077, 2027, 2064, 2022, 16286, 8916, 2008, 1996, 5325, 2038, 2979, 1012, 16941, 3366, 10841, 15780, 14617, 16014, 2008, 1996, 16360, 2121, 7874, 27466, 1997, 1996, 8833, 2549, 3501, 28450, 2097, 26577, 2005, 2706, 1010, 2065, 2025, 2936, 1012, 2070, 2009, 3036, 8519, 2036, 2156, 1037, 2978, 1997, 2601, 2381, 15192, 2993, 2182, 1012, 1037, 6851, 2695, 5302, 19731, 2213, 3189, 2006, 2418, 1005, 1055, 1041, 15549, 7011, 2595, 2951, 12510, 4197, 2000, 1037, 2714, 11967, 1010, 1999, 2029, 2009, 2780, 2012, 1996, 4923, 4879, 9022, 2037, 3001, 2005, 1037, 2367, 9262, 18130, 1010, 1998, 3478, 2000, 2424, 2009, 2077, 17857, 2106, 1012, 2065, 2505, 1010, 8833, 2549, 3501, 2038, 1996, 4022, 2000, 2022, 1041, 15549, 7011, 2595, 2035, 2058, 2153, 1011, 1011, 2021, 4788, 1010, 2056, 7918, 2624, 7875, 4360, 1010, 3026, 2470, 3992, 2012, 16941, 6935, 2243, 4707, 1999, 20021, 1010, 2702, 2078, 1012, 1000, 1999, 2008, 2553, 1010, 17857, 2018, 2000, 2886, 1031, 1996, 15895, 1033, 2358, 22134, 2015, 1031, 7705, 1033, 3495, 1010, 1000, 2002, 2056, 1012, 1000, 2182, 1010, 2027, 2064, 2074, 2543, 2125, 1037, 3642, 5164, 2000, 9585, 2019, 14958, 2886, 1012, 1000, 22634, 1010, 2007, 1996, 8833, 2549, 3501, 18130, 1010, 2019, 17346, 2071, 3432, 2391, 1037, 3526, 9864, 2007, 1037, 1053, 2099, 3642, 2008, 3397, 1996, 3642, 5164, 18077, 2012, 1037, 2969, 1011, 4638, 5833, 11382, 2891, 2243, 2012, 1037, 7027, 3573, 1010, 1998, 5114, 2491, 2058, 2008, 3573, 1005, 1055, 2009, 3001, 1010, 2624, 7875, 4360, 2056, 1012, 1996, 21931, 3193, 1024, 8833, 2549, 3501, 5256, 1011, 2039, 2655, 2097, 24501, 21149, 2004, 1996, 3988, 6497, 5985, 2006, 8833, 2549, 3501, 1010, 1996, 2168, 3160, 3133, 2116, 2658, 4087, 9273, 1024, 2003, 2045, 2085, 3114, 2000, 3246, 2008, 2023, 6745, 5325, 2097, 10750, 1037, 24670, 2367, 2765, 2084, 3025, 2086, 1005, 1000, 5409, 2412, 1000, 16941, 3366, 10841, 15780, 10444, 1029, 2030, 2097, 1996, 3068, 2424, 2993, 1999, 1996, 2168, 1000, 2598, 25852, 2154, 1000, 4507, 2023, 2051, 2279, 2095, 1010, 3868, 2000, 10509, 2000, 2664, 2178, 16941, 10103, 1029, 2053, 2028, 2064, 2360, 2005, 3056, 1010, 2021, 2070, 2009, 14617, 1998, 3068, 8519, 2079, 2156, 5509, 5751, 2008, 3036, 2003, 2525, 3048, 2039, 1996, 6960, 9470, 2862, 1012, 2027, 16014, 2008, 8833, 2549, 3501, 2097, 2552, 2004, 2019, 4621, 16771, 2005, 16475, 3366, 3597, 4523, 8377, 1999, 1996, 2279, 2260, 2000, 2324, 2706, 1012, 2005, 2028, 2518, 1010, 8833, 2549, 3501, 2089, 5621, 2022, 2367, 2084, 2049, 16372, 1999, 3408, 1997, 2129, 2116, 2111, 2024, 3495, 5360, 1010, 2070, 2009, 4013, 2015, 2056, 1012, 1000, 2007, 5943, 11101, 2015, 1010, 2116, 2227, 3215, 1997, 1996, 3068, 2074, 3427, 2013, 28978, 1010, 1000, 2056, 12686, 5249, 1010, 3208, 1997, 1996, 8241, 19309, 2136, 2012, 4171, 17463, 2194, 1044, 1004, 1054, 3796, 1012, 1000, 2007, 14899, 7698, 1010, 2116, 2111, 2020, 19209, 1010, 2021, 2009, 2347, 1005, 1056, 2004, 11157, 1999, 2035, 1996, 2477, 1031, 2004, 8833, 2549, 3501, 1033, 1010, 1998, 2111, 2071, 2074, 8983, 2009, 1010, 9378, 2037, 2398, 1997, 2009, 1998, 3328, 2185, 1012, 1000, 1996, 2755, 2008, 8833, 2549, 3501, 2003, 2061, 2691, 2802, 2019, 6233, 6970, 13767, 2098, 24394, 4677, 2090, 3617, 3001, 1010, 2247, 2007, 1996, 1057, 5638, 15549, 3723, 1997, 2591, 2865, 6833, 1010, 2038, 2992, 2023, 18130, 2000, 1037, 3020, 6337, 2084, 2151, 5249, 2056, 2016, 2064, 9131, 1012, 1000, 1045, 1005, 2310, 2196, 2464, 2026, 2897, 1997, 6627, 2111, 6271, 2039, 2066, 2023, 1010, 1000, 2016, 2056, 1012, 1000, 2130, 1999, 2026, 3167, 2051, 2006, 10474, 1010, 2023, 2003, 2035, 1045, 1005, 2310, 2464, 1996, 2197, 2176, 2420, 1012, 1000, 2096, 2009, 2089, 4025, 2008, 2116, 8413, 1997, 1996, 6627, 3068, 2134, 1005, 1056, 4553, 2172, 2013, 3025, 12510, 2229, 1010, 1996, 5943, 11101, 2015, 1998, 5336, 13117, 10444, 9469, 1037, 2976, 2231, 3433, 2007, 1037, 4883, 16941, 3366, 10841, 15780, 3237, 2344, 1999, 2089, 1012, 4073, 2018, 2036, 2042, 21358, 17206, 2144, 2220, 12609, 2306, 1996, 2533, 1997, 3639, 1998, 1996, 2120, 2820, 1997, 4781, 1998, 2974, 1006, 9152, 3367, 1007, 2000, 5771, 2041, 16475, 3366, 3597, 4523, 4781, 1010, 4431, 24977, 1998, 2731, 4475, 1012, 7040, 2107, 2004, 2885, 1005, 1055, 14230, 2099, 1010, 2085, 5738, 2049, 2959, 2095, 1997, 7285, 1010, 2031, 2468, 2511, 1998, 19429, 7810, 2070, 5919, 1997, 10615, 2005, 2951, 2968, 1012, 2797, 1011, 4753, 17088, 2056, 8013, 3206, 7776, 2031, 15767, 2105, 3036, 1012, 1000, 3316, 5382, 2009, 1005, 1055, 1037, 9095, 1010, 2025, 2242, 2027, 2064, 2131, 2000, 2279, 4284, 2030, 2279, 2095, 1010, 1000, 2056, 2198, 29246, 5690, 1010, 3580, 2343, 1997, 2592, 3036, 2012, 21025, 19646, 7875, 1012, 1000, 8311, 2085, 2175, 2046, 1037, 2843, 2062, 6987, 1012, 2073, 2009, 2109, 2000, 2022, 1010, 1005, 17024, 2097, 4685, 8983, 2968, 1010, 1005, 2085, 2009, 1005, 1055, 1005, 17024, 2097, 8983, 3563, 24728, 19666, 6906, 14680, 1999, 2023, 3563, 2051, 4853, 1998, 3189, 2009, 2000, 2149, 2065, 2027, 2064, 1005, 1056, 1012, 1005, 1000, 5690, 2170, 2005, 2062, 3563, 10738, 8606, 2105, 16475, 3366, 3597, 4523, 6078, 1999, 1037, 3034, 8312, 1999, 2257, 2021, 2038, 2036, 2018, 3622, 7953, 2046, 9152, 3367, 1005, 1055, 4073, 1010, 2029, 2002, 24273, 2000, 2765, 1999, 2582, 8606, 10076, 2084, 1996, 3068, 2064, 5987, 2151, 4884, 14409, 1012, 5690, 2056, 2002, 1005, 1055, 2036, 10552, 2007, 5534, 2000, 5335, 3020, 2495, 3454, 2105, 16941, 3366, 10841, 15780, 1998, 4197, 2000, 2330, 3120, 12317, 4073, 1010, 2107, 2004, 1037, 12783, 8162, 11788, 21025, 2705, 12083, 6254, 2008, 2001, 2855, 2764, 2023, 2733, 2000, 2650, 2296, 2350, 2009, 21431, 1005, 1055, 8833, 2549, 3501, 3570, 1010, 2004, 2178, 17772, 3696, 1012, 1000, 2009, 3065, 2129, 12783, 8162, 11788, 2451, 4073, 2064, 5335, 3036, 2005, 1996, 2878, 2686, 1010, 1000, 2002, 2056, 1012, 1000, 2009, 1005, 1055, 2025, 2151, 2028, 2194, 1005, 1055, 3105, 1011, 1011, 2009, 2038, 2000, 2022, 1037, 2136, 3947, 1012, 1000, 2044, 2035, 1010, 2107, 11900, 2451, 4073, 2580, 1996, 8833, 2549, 3501, 9710, 1999, 1996, 2034, 2173, 1010, 1044, 1004, 1054, 3796, 1005, 1055, 5249, 4197, 2041, 1012, 1000, 2672, 1996, 2765, 1997, 2023, 2785, 1997, 2543, 12913, 2057, 1005, 2128, 2035, 2542, 2097, 2022, 9100, 3579, 2006, 2054, 1005, 1055, 2108, 2766, 2013, 2330, 3120, 2004, 1037, 7731, 24394, 1010, 1000, 2016, 2056, 1012, 1000, 2672, 2009, 1005, 2222, 2265, 1996, 2342, 2005, 2062, 2111, 2000, 2729, 2005, 2330, 3120, 3934, 3458, 1010, 1005, 2821, 1010, 4283, 2005, 1996, 2489, 4007, 1012, 1005, 1000, 2070, 16475, 3366, 3597, 4523, 4013, 2015, 5987, 4297, 28578, 21050, 5082, 2012, 2190, 2060, 3068, 3422, 2545, 4797, 8833, 2549, 3501, 2097, 12346, 1037, 2350, 3810, 2391, 2005, 16941, 3366, 10841, 15780, 1012, 1000, 2009, 2323, 2022, 1010, 2021, 2065, 2381, 2003, 2151, 5009, 1010, 2045, 1005, 2222, 2022, 1037, 2843, 1997, 9530, 6238, 9323, 1998, 20006, 1010, 2059, 2008, 1005, 2222, 4487, 18719, 17585, 2127, 1996, 2279, 1031, 5325, 1033, 4978, 1010, 1000, 2056, 8226, 2553, 5974, 1010, 2019, 12941, 2012, 8909, 2278, 1012, 1000, 28946, 4411, 2052, 2066, 2000, 2468, 2062, 4013, 19620, 1998, 16014, 3512, 1010, 1998, 2070, 2079, 1010, 2021, 2116, 2097, 2145, 3961, 1999, 22643, 5549, 1012, 1000, 2553, 5974, 2036, 2056, 2002, 13579, 2008, 2582, 7040, 1998, 4781, 8606, 2097, 2693, 1996, 12201, 12381, 1010, 2593, 1012, 1000, 1037, 2843, 1997, 4411, 1998, 3316, 2097, 5245, 2067, 2006, 7816, 1011, 1011, 2027, 7166, 2000, 2954, 2216, 2138, 2027, 2156, 2068, 2004, 1037, 3465, 1031, 10859, 1033, 1010, 1000, 2002, 2056, 1012, 1000, 4781, 4230, 2036, 3227, 2064, 1005, 1056, 2562, 2039, 1012, 1000, 1996, 3768, 1997, 16475, 3366, 3597, 4523, 16736, 17349, 2007, 2178, 14516, 6627, 3068, 3291, 1011, 1011, 1037, 2731, 1998, 4813, 6578, 2008, 2038, 2036, 17645, 2005, 2086, 2004, 1996, 6393, 1997, 8144, 1999, 5500, 9798, 6502, 2015, 2038, 14613, 27258, 2135, 1012, 1000, 2023, 3310, 2091, 2000, 2428, 3937, 2477, 2008, 2024, 2428, 2524, 2000, 2079, 1010, 1000, 2624, 7875, 4360, 2056, 1012, 1000, 1998, 1996, 7300, 2031, 2042, 2041, 2045, 2005, 1037, 2096, 1012, 1000, 7539, 1997, 2129, 4397, 3603, 1037, 18130, 2003, 1010, 2146, 24911, 3036, 2190, 6078, 2107, 2004, 1996, 6958, 1997, 2560, 14293, 2024, 2145, 2426, 1996, 2087, 10232, 5919, 1997, 11706, 10210, 13340, 3508, 1010, 2002, 2056, 1012, 4007, 5512, 4106, 5906, 2008, 2393, 2009, 2780, 2202, 12612, 1997, 2037, 5097, 1005, 12530, 15266, 2031, 2042, 4235, 2800, 2005, 2086, 1012, 1996, 8050, 3291, 2182, 3658, 2025, 1999, 1996, 11343, 1997, 16475, 3366, 3597, 4523, 5906, 1998, 2511, 6078, 2021, 16680, 1999, 2129, 6923, 3716, 2003, 2055, 2129, 2000, 2224, 2068, 1010, 2624, 7875, 4360, 2056, 1012, 1998, 3716, 1011, 6631, 2003, 2358, 24335, 6340, 2011, 2178, 16337, 2100, 23382, 3291, 1024, 5377, 10400, 2007, 2592, 2013, 1037, 2484, 1011, 3178, 2739, 5402, 2000, 20934, 28242, 2075, 6112, 1011, 3128, 5906, 1012, 1000, 6684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2606, 3279, 2003, 1037, 2691, 4650, 8567, 2011, 2116, 2111, 2011, 1996, 2051, 2027, 4607, 2037, 2353, 5476, 1997, 2166, 1012, 2065, 2053, 6413, 3949, 2003, 10607, 1010, 1996, 4650, 22901, 5901, 1998, 5260, 2000, 5729, 2606, 3279, 1012, 2045, 2024, 2367, 16913, 11475, 7368, 2000, 6133, 2606, 3279, 1010, 2023, 2950, 2966, 3949, 1006, 20233, 1007, 1010, 5127, 7485, 4138, 12123, 1006, 10975, 2361, 1007, 13341, 1998, 2606, 22291, 1025, 2174, 1010, 2606, 22291, 3370, 2038, 4928, 2000, 2022, 1996, 2087, 4621, 1998, 1996, 2751, 3115, 3949, 2005, 5729, 2606, 3279, 2007, 2146, 9879, 3463, 1012, 2606, 22291, 3370, 1010, 2004, 1996, 2171, 6083, 1010, 2003, 1037, 3949, 2073, 2606, 1042, 14511, 20921, 2024, 4015, 2013, 2028, 2112, 1997, 1996, 2303, 1006, 2788, 21065, 1007, 2000, 1996, 5360, 2752, 1999, 2344, 2000, 3104, 1996, 13852, 2181, 1012, 2023, 4118, 2038, 2042, 10003, 2000, 2022, 1996, 2087, 4621, 3949, 2005, 2606, 3279, 1012, 2009, 2003, 2066, 1037, 2146, 9879, 5211, 1998, 5260, 2000, 3278, 25536, 6666, 1012, 2414, 2606, 22291, 9349, 2003, 2028, 1997, 1996, 2877, 17865, 1999, 1996, 2866, 2008, 4107, 2152, 3737, 2606, 22291, 3949, 1012, 1996, 22291, 1998, 2606, 6418, 3949, 2003, 4146, 2478, 1042, 14511, 21412, 3131, 14676, 1006, 11865, 2063, 1007, 2974, 1012, 1999, 1996, 7709, 1010, 2009, 3138, 1016, 1011, 1017, 2847, 2000, 11203, 1996, 22160, 3215, 2013, 1996, 21065, 1006, 3262, 2067, 1997, 1996, 2132, 1007, 1998, 2009, 3138, 2195, 2062, 2847, 2000, 7374, 1996, 7799, 2181, 1998, 2173, 1996, 22160, 3215, 2012, 1996, 9059, 5269, 1012, 2852, 5003, 12871, 2099, 6517, 3089, 2040, 2036, 2573, 2012, 1996, 17237, 2004, 1037, 3026, 3460, 1006, 8930, 1007, 1010, 5260, 1996, 2606, 22291, 2578, 2012, 2414, 2606, 22291, 9349, 1012, 4237, 2013, 1996, 2606, 22291, 1998, 6418, 2578, 1010, 2057, 3073, 2060, 2578, 2012, 1996, 9349, 2029, 2024, 11539, 1997, 1024, 1024, 2057, 2024, 7098, 1997, 2256, 4807, 2007, 5022, 1998, 2467, 3046, 2000, 2022, 7801, 2000, 2035, 5022, 1999, 2553, 1997, 2151, 10861, 5134, 2077, 1998, 2044, 3949, 2012, 2256, 2803, 1012, 2057, 2024, 2036, 5462, 2000, 2191, 1996, 8853, 15184, 1998, 2031, 2200, 9608, 7597, 1012, 9308, 1010, 2057, 2031, 5446, 7047, 2800, 2029, 2256, 5022, 2064, 4089, 2224, 1012, 2057, 2031, 1037, 2136, 1997, 2740, 8390, 2040, 2024, 1010, 5281, 1998, 6614, 2000, 3073, 1996, 3284, 3737, 1997, 2729, 2478, 2715, 2974, 1998, 3350, 1012, 3568, 1010, 2065, 2017, 4299, 2000, 2131, 2115, 2606, 2067, 2006, 2650, 1010, 3967, 2149, 2005, 1037, 16053, 1998, 2097, 2933, 2115, 3949, 18228, 1998, 23263, 2007, 1996, 2190, 2825, 3976, 1012, 3193, 2035, 2256, 2578, 4562, 1999, 2568, 2008, 2606, 22291, 2015, 5478, 3811, 10571, 3095, 2004, 2092, 2004, 2051, 1010, 2025, 8375, 2000, 2131, 1996, 2279, 5776, 1999, 1012, 2008, 1521, 1055, 2339, 2057, 2069, 4685, 2028, 2350, 2606, 22291, 7709, 2566, 2154, 1012, 5366, 1998, 7597, 2005, 2606, 22291, 8853, 12530, 4600, 2006, 2115, 2504, 1997, 2606, 3279, 1010, 2115, 22877, 1998, 1996, 4217, 4118, 1997, 2606, 22291, 5970, 1012, 1996, 2069, 2469, 2126, 2000, 2022, 2062, 10480, 2006, 1996, 2193, 1997, 22160, 3215, 3223, 1998, 1996, 3465, 1010, 2003, 2083, 1037, 2797, 16053, 2007, 2028, 1997, 2256, 16804, 1012, 2057, 2467, 26911, 2000, 3073, 1996, 2190, 2606, 22291, 3976, 1999, 1996, 2866, 2004, 2092, 2004, 1996, 2190, 2606, 22291, 2021, 21268, 1010, 5366, 7166, 2000, 4125, 2007, 3737, 1012, 1996, 2606, 22291, 3463, 2024, 2062, 2590, 2084, 3465, 1998, 2017, 5807, 1521, 1056, 2022, 20122, 2011, 4341, 3549, 2040, 4872, 1037, 19575, 1523, 2065, 2017, 2338, 2651, 1524, 2030, 3614, 8385, 2296, 2733, 1012, 2057, 1521, 2128, 2525, 1523, 2382, 1003, 1524, 2625, 2084, 2216, 17865, 2040, 2031, 2000, 4372, 4588, 2063, 2017, 2007, 19575, 2015, 2000, 3477, 2005, 2037, 4341, 3095, 2004, 2057, 2123, 1521, 1056, 2031, 4341, 5051, 27469, 2006, 3222, 999, 2174, 1010, 2009, 1521, 1055, 4189, 2000, 2360, 2008, 2017, 2876, 1521, 1056, 2215, 2149, 2000, 3013, 8413, 2006, 1996, 3737, 1997, 2115, 2606, 22291, 1010, 2061, 2057, 2024, 2025, 10339, 2000, 2360, 2057, 4995, 1521, 1056, 1996, 10036, 4355, 2606, 22291, 9349, 1999, 2414, 1010, 2030, 1037, 10036, 2606, 22291, 1999, 1996, 2866, 1010, 2021, 3749, 1037, 2152, 3737, 2326, 1998, 2606, 22291, 2765, 1012, 1037, 10036, 2606, 22291, 2064, 2022, 2200, 17047, 1999, 3408, 1997, 7192, 2147, 1998, 4737, 1998, 6668, 2969, 19593, 1516, 2074, 2298, 2012, 1996, 3471, 3378, 2007, 1996, 10036, 2606, 22291, 2147, 2041, 2129, 2172, 1037, 2204, 2606, 22291, 2097, 3465, 2017, 1010, 2478, 2256, 5366, 1998, 7597, 2005, 2606, 22291, 2015, 10250, 19879, 4263, 1010, 19337, 19912, 2015, 1012, 27593, 1024, 2087, 5022, 2097, 2342, 2048, 2030, 2062, 6521, 1997, 2606, 22291, 3370, 1012, 2174, 2000, 2507, 1037, 2236, 20167, 2006, 1996, 22160, 2102, 9095, 1998, 2061, 1996, 3497, 3465, 2566, 5219, 1010, 1996, 16403, 3065, 2019, 24668, 2193, 1997, 22160, 3215, 2000, 2507, 1037, 9608, 4304, 1997, 2606, 2058, 1996, 3378, 2181, 1012, 5022, 2089, 5478, 2062, 2030, 8491, 22160, 3215, 2084, 5393, 2000, 6162, 1037, 9059, 4304, 1025, 2023, 2064, 2022, 4484, 2012, 1996, 2051, 1997, 16053, 1012, 2036, 1010, 2087, 5022, 2097, 2215, 1037, 2117, 5219, 2566, 2181, 1010, 2000, 6162, 1996, 4304, 2027, 2024, 2559, 2005, 1012, 2009, 1521, 1055, 2036, 1037, 2204, 2801, 2000, 2275, 1037, 9470, 2181, 1516, 2045, 2003, 1037, 3132, 2193, 1997, 15009, 22160, 3215, 2800, 1998, 3432, 3038, 2008, 1523, 2673, 2003, 1037, 9470, 1524, 3475, 1521, 1056, 14044, 999, 3227, 1010, 1996, 19124, 2555, 2003, 1996, 2087, 2590, 1516, 2009, 1521, 1055, 2054, 2017, 2156, 1999, 1996, 5259, 1998, 2054, 2111, 2156, 2043, 3331, 2000, 2017, 1012, 1996, 4410, 2003, 2625, 5793, 1012, 3602, 2008, 2057, 3715, 1996, 2168, 3251, 2009, 2003, 1996, 11865, 2063, 2030, 11865, 2102, 1006, 6167, 1007, 2606, 22291, 3465, 1012, 22267, 1010, 3251, 2122, 3616, 1997, 22160, 3215, 2024, 9353, 4048, 13331, 3468, 1010, 9041, 9578, 2006, 1996, 3737, 1997, 1996, 5022, 1521, 15009, 2181, 1998, 2023, 2515, 11234, 2013, 5776, 2000, 5776, 1012, 2017, 3685, 1523, 2228, 1997, 1037, 2193, 1524, 1998, 3313, 2009, 999, 2024, 2017, 6195, 1037, 2606, 22291, 1999, 2414, 1029, 2012, 1996, 2521, 5558, 2606, 2820, 1010, 2057, 2123, 1521, 1056, 2074, 7438, 2115, 4650, 1010, 2057, 7438, 2017, 2004, 2019, 3265, 1012, 2057, 2215, 2000, 2131, 2000, 2113, 2017, 1010, 2115, 3663, 1010, 1998, 2054, 2017, 2215, 2000, 6162, 2013, 14996, 3949, 1012, 2013, 1996, 16053, 1010, 2157, 2083, 2000, 2044, 16302, 1010, 2057, 2097, 5009, 2017, 2083, 1996, 7047, 2008, 2024, 2190, 10897, 2000, 2115, 3265, 3791, 1012, 2035, 5022, 2064, 4372, 15549, 2890, 3081, 10373, 1010, 7026, 1010, 4037, 2433, 1010, 11834, 18384, 1010, 2030, 2591, 2865, 1012, 1996, 2034, 3357, 1999, 1996, 2832, 2003, 2000, 2031, 1037, 11834, 2007, 1996, 5776, 3208, 2000, 9398, 3686, 2065, 2057, 2064, 5262, 7438, 2017, 1012, 2017, 2097, 2022, 2356, 2000, 3073, 7760, 2030, 6876, 1997, 2115, 2606, 1013, 2606, 4179, 2077, 27673, 2000, 1996, 2279, 3357, 1997, 1996, 2832, 1012, 2023, 2003, 1037, 2489, 2326, 2057, 3073, 2000, 5676, 5022, 2024, 10218, 1998, 7438, 3085, 1012, 2017, 2064, 5454, 2000, 13621, 1037, 2489, 16053, 2007, 1037, 5776, 3208, 1010, 2030, 2005, 1037, 2235, 7408, 1010, 2017, 2064, 2031, 1037, 16053, 2007, 1037, 3460, 1012, 2023, 2112, 1997, 1996, 2832, 2003, 2085, 7484, 1012, 2023, 2003, 2625, 24439, 2005, 5022, 1998, 4473, 1996, 9349, 2000, 2022, 2522, 17258, 1011, 2539, 5851, 2007, 8491, 5022, 1999, 1998, 2041, 1012, 2823, 1010, 1037, 16053, 2012, 2256, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 13653, 2395, 9349, 2089, 2022, 3223, 2065, 1996, 7484, 16053, 2003, 4297, 2239, 23633, 1041, 1012, 1043, 1012, 2057, 3685, 14358, 1996, 4650, 1997, 1996, 21065, 2030, 12210, 1996, 3737, 1997, 1996, 15009, 2181, 1012, 2017, 2064, 2338, 1037, 16053, 2182, 1012, 2206, 2115, 16053, 1010, 2057, 2097, 3073, 2017, 2007, 2190, 7047, 2008, 2052, 2022, 10897, 2000, 2017, 1010, 2065, 5262, 2151, 3949, 2003, 7218, 1012, 2256, 2414, 13653, 2395, 9349, 2003, 6055, 2000, 4685, 2035, 4127, 1997, 3949, 1010, 2013, 11707, 13441, 2107, 2004, 11865, 2063, 1998, 11865, 2102, 1010, 2000, 1037, 2898, 2846, 1997, 2512, 1011, 11707, 13441, 2107, 2004, 2659, 2504, 9138, 7242, 1998, 21065, 12702, 8197, 21693, 19304, 1006, 15488, 2361, 1007, 1012, 2320, 2017, 2031, 2787, 2006, 1037, 3949, 1010, 2057, 2097, 5009, 2017, 2006, 2129, 2000, 7374, 1012, 2256, 6739, 2414, 1011, 2241, 5776, 2729, 2136, 2097, 2994, 1999, 3543, 2007, 2017, 2012, 2296, 3357, 1997, 1996, 2832, 2000, 5676, 2017, 2024, 2467, 2039, 2000, 3058, 1012, 2035, 2256, 13441, 1998, 12058, 5134, 2024, 3344, 2041, 2012, 2256, 2414, 9349, 1010, 2241, 2006, 13653, 2395, 1999, 28537, 1012, 2006, 1996, 2154, 1997, 1996, 3949, 1010, 2017, 2064, 2717, 3733, 4209, 2017, 2024, 1999, 2204, 2398, 1010, 2007, 7069, 1010, 2400, 3045, 1998, 2088, 8228, 16804, 1010, 2040, 2097, 4287, 2041, 2115, 3949, 7714, 1012, 2206, 2115, 3949, 2013, 2256, 2414, 9349, 1010, 2057, 2097, 3073, 2017, 2007, 2035, 1996, 7882, 2592, 2017, 2342, 1010, 2004, 2092, 2004, 4685, 3180, 4391, 2000, 4638, 2006, 1996, 5082, 1997, 2115, 3949, 1012, 2123, 1521, 1056, 2514, 2066, 2017, 2024, 4039, 2000, 3967, 2149, 2206, 2115, 3949, 1010, 2065, 2017, 2031, 2151, 3980, 2030, 5936, 1010, 2017, 2064, 2467, 3967, 2149, 2005, 2393, 1998, 2490, 1012, 1037, 2606, 22291, 2003, 1037, 7709, 1999, 2029, 1037, 6081, 2030, 4315, 18900, 10091, 9431, 5829, 2606, 2000, 1037, 13852, 2181, 1997, 1996, 2132, 1012, 1996, 9431, 2788, 5829, 2606, 2013, 1996, 2067, 2030, 2217, 1997, 1996, 2132, 2000, 1996, 2392, 2030, 2327, 1997, 1996, 2132, 1012, 2606, 22291, 2015, 4050, 5258, 1999, 1037, 2966, 2436, 2104, 2334, 2019, 25344, 1012, 5418, 13852, 2791, 2003, 3625, 2005, 1996, 3484, 1997, 2606, 3279, 1012, 2023, 3310, 2091, 2000, 14471, 1012, 1996, 3588, 3572, 2024, 2349, 2000, 1037, 3528, 1997, 5876, 1010, 2164, 1024, 2045, 2024, 2048, 4127, 1997, 22291, 8853, 1024, 18036, 22160, 3215, 1998, 12702, 17643, 6199, 2015, 1012, 18036, 22160, 3215, 5383, 1018, 2000, 2184, 13606, 2566, 22160, 2102, 1012, 12702, 17643, 6199, 2015, 5383, 1015, 2000, 1016, 13606, 2566, 22160, 2102, 1010, 5834, 2006, 1996, 3815, 1997, 6325, 2734, 1012, 4909, 1037, 2606, 22291, 2064, 5335, 2115, 3311, 1998, 2969, 1011, 7023, 1012, 2204, 5347, 2005, 1037, 2606, 22291, 2421, 1024, 2606, 6110, 3475, 1521, 1056, 1037, 2204, 5724, 2005, 1024, 2044, 12246, 9344, 2115, 21065, 1010, 1037, 9431, 3594, 1037, 2235, 12201, 2000, 15903, 2019, 2181, 1997, 2115, 2132, 2007, 2334, 2019, 25344, 1012, 2048, 2364, 5461, 2024, 2109, 2000, 6855, 1042, 14511, 20921, 2005, 22291, 3370, 1024, 11865, 2102, 1998, 11865, 2063, 1012, 1999, 1042, 14511, 21412, 3131, 22291, 3370, 1006, 11865, 2102, 1007, 1024, 1999, 1042, 14511, 21412, 3131, 14676, 1006, 11865, 2063, 1007, 1996, 2606, 1042, 14511, 20921, 2024, 3013, 2041, 3495, 2013, 1996, 2067, 1997, 1996, 2132, 2083, 5606, 2000, 5190, 1997, 4714, 8595, 4297, 19969, 2015, 1012, 1037, 2606, 22291, 5219, 2064, 2202, 2176, 2847, 2030, 2062, 1012, 2115, 25343, 2097, 2022, 3718, 2055, 2184, 2420, 2044, 5970, 1012, 2017, 2089, 5478, 2039, 2000, 2093, 2030, 2176, 6521, 2000, 6162, 1996, 2440, 2132, 1997, 2606, 2017, 4792, 1012, 6521, 5258, 2195, 2706, 4237, 2000, 3499, 2169, 22291, 2000, 3929, 11005, 1012, 2115, 21065, 2089, 2022, 14699, 1010, 1998, 2017, 2089, 2342, 2000, 2202, 20992, 2206, 2606, 22291, 5970, 1010, 2107, 2004, 1024, 2087, 2111, 2064, 2709, 2000, 2147, 2195, 2420, 2044, 5970, 1012, 2009, 1521, 1055, 3671, 2005, 1996, 22291, 2098, 2606, 2000, 2991, 2041, 2048, 2000, 2093, 3134, 2044, 1996, 7709, 1012, 2023, 3084, 2126, 2005, 2047, 2606, 3930, 1012, 2087, 2111, 2097, 2156, 2070, 3815, 1997, 2047, 2606, 3930, 1022, 2000, 2260, 2706, 2044, 5970, 1012, 2116, 7435, 3653, 29234, 8117, 11636, 28173, 2140, 1006, 20996, 23805, 2638, 1007, 2030, 1996, 2606, 3930, 14667, 10346, 24268, 5178, 1006, 17678, 8586, 2401, 1007, 2000, 5335, 2606, 19723, 10524, 2705, 1012, 2122, 20992, 2036, 2393, 4030, 2030, 2644, 2925, 2606, 3279, 1012, 2217, 3896, 2013, 1037, 2606, 22291, 2024, 2788, 3576, 1998, 3154, 2039, 2306, 1037, 2261, 3134, 1012, 2027, 2064, 2421, 1024, 4050, 1010, 2111, 2040, 1521, 2310, 2018, 1037, 2606, 22291, 2097, 3613, 2000, 4982, 2606, 1999, 1996, 22291, 2098, 2752, 1997, 1996, 21065, 1012, 1996, 2047, 2606, 2089, 3711, 2062, 2030, 2625, 9742, 5834, 2006, 1024, 2065, 2017, 2123, 1521, 1056, 2202, 14667, 1006, 2107, 2004, 8117, 11636, 28173, 2140, 2030, 10346, 24268, 5178, 1007, 2030, 13595, 1037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3796, 24925, 2078, 8264, 1011, 23174, 3630, 3795, 8292, 2102, 3720, 9765, 1041, 9692, 13665, 4487, 13102, 10698, 3468, 4372, 22357, 1012, 2202, 1996, 4973, 1997, 8116, 9541, 1010, 19169, 20323, 1998, 10424, 7033, 3775, 1024, 2054, 2057, 3373, 2001, 1037, 2204, 3325, 2274, 2086, 3283, 1516, 2000, 2031, 1037, 4010, 9388, 5603, 11124, 2696, 5359, 2000, 2256, 2341, 1999, 3429, 2781, 1516, 2003, 2651, 7021, 2004, 1037, 2210, 15640, 1012, 2083, 21934, 28250, 2075, 1996, 13063, 2832, 1010, 4346, 1037, 7289, 12183, 1010, 1998, 2383, 11813, 8013, 3582, 1011, 2039, 1010, 2122, 2578, 2031, 2949, 1996, 9967, 4418, 2000, 2107, 2019, 6698, 2008, 2256, 3452, 17626, 2038, 8642, 13763, 2000, 1037, 3020, 2504, 1012, 3316, 2066, 2122, 17607, 2047, 4781, 1997, 3325, 2008, 3443, 2307, 9967, 2138, 2037, 3579, 2003, 2675, 2135, 2006, 8013, 3791, 1012, 2011, 5702, 1998, 20253, 2122, 4781, 1010, 2057, 2064, 4553, 2000, 23569, 27605, 4371, 8013, 9967, 1998, 6611, 1996, 6481, 2000, 2256, 2219, 3450, 1012, 2174, 1010, 2122, 3934, 2064, 2022, 3375, 2138, 1010, 2411, 1010, 1996, 2972, 2326, 20680, 3791, 2000, 2022, 17051, 1012, 9967, 2003, 24501, 4747, 10421, 2135, 2449, 1011, 4187, 2138, 2009, 7126, 2000, 12919, 1996, 4435, 3746, 1998, 8456, 1999, 1996, 7654, 1997, 2047, 6304, 1998, 1996, 20125, 1997, 4493, 3924, 1012, 8013, 3325, 1998, 9967, 10903, 2323, 2022, 1037, 3410, 1997, 5971, 3226, 1998, 2053, 2936, 3132, 2000, 1037, 3722, 1047, 8197, 1012, 19888, 10085, 3126, 7389, 5666, 5471, 2003, 1037, 2092, 1011, 2124, 2224, 2553, 1024, 1996, 19888, 2080, 1011, 9598, 3036, 7337, 1520, 6947, 1997, 4450, 1521, 5942, 1037, 2312, 3815, 1997, 5992, 2943, 1010, 2061, 2004, 2000, 5676, 2008, 1996, 3465, 1997, 2019, 2886, 2006, 1996, 2897, 2003, 3618, 2084, 1996, 4022, 5114, 1997, 1996, 2897, 1012, 1999, 2344, 2000, 2031, 2438, 9798, 2373, 11095, 2000, 12329, 1996, 2897, 1010, 1996, 1520, 11257, 1521, 2024, 14610, 2011, 1996, 19888, 10085, 3126, 7389, 5666, 2897, 1012, 2116, 3316, 2020, 2580, 2105, 2023, 4023, 2029, 2150, 2124, 2004, 1520, 19888, 10085, 3126, 7389, 5666, 5471, 1521, 1012, 2085, 1010, 1999, 2344, 2000, 5547, 2943, 5366, 1010, 1037, 2193, 1997, 2122, 3316, 2024, 7927, 2075, 13918, 19320, 1010, 3007, 9355, 2006, 15726, 2943, 2550, 1999, 13918, 2373, 4264, 2000, 6855, 2896, 6165, 1012, 2023, 2064, 2022, 2579, 2046, 4070, 1999, 25223, 16268, 2005, 13918, 2373, 3269, 3934, 1024, 2612, 1997, 3974, 2943, 2550, 2021, 2025, 2109, 1010, 2009, 2064, 2022, 2109, 2000, 3067, 19888, 10085, 3126, 7389, 9243, 1998, 3568, 2191, 2009, 1037, 2062, 15282, 5211, 1012, 1996, 3006, 2003, 2613, 2005, 1996, 2943, 4753, 1010, 1998, 2038, 2042, 4975, 2058, 2195, 2086, 1012, 2028, 4119, 1997, 2943, 8381, 2003, 12515, 1998, 8822, 1996, 3120, 1997, 6451, 2008, 2003, 2108, 10202, 1012, 1999, 1996, 6123, 1997, 2665, 8311, 1010, 2005, 2742, 1010, 2023, 2064, 2022, 18636, 1024, 2129, 2003, 2009, 2825, 2000, 11302, 2000, 1996, 7325, 2008, 1996, 2943, 2016, 16678, 2015, 3310, 3495, 2013, 13918, 4216, 1029, 2048, 3316, 1010, 25540, 2666, 1998, 27106, 2024, 2551, 2362, 2006, 1037, 5080, 2008, 21586, 1996, 3120, 1997, 2665, 2943, 2008, 2003, 2550, 2011, 23977, 2009, 2006, 1037, 3796, 24925, 2078, 2029, 3084, 2009, 2825, 2000, 3073, 16987, 2000, 5198, 1012, 2122, 7637, 8010, 9859, 2064, 2036, 2022, 6179, 2005, 2334, 15932, 1516, 8152, 1011, 2000, 1011, 8152, 2373, 4245, 6125, 1516, 4352, 5198, 2000, 3863, 2943, 2007, 2169, 2060, 1012, 1999, 2804, 1010, 2027, 2064, 21934, 28250, 15800, 2090, 2367, 9224, 1010, 2005, 2742, 1010, 1999, 1996, 2553, 1997, 4341, 1997, 4219, 2090, 3032, 1012, 2009, 2003, 2525, 2825, 2000, 3919, 4697, 2122, 3934, 2006, 1037, 3056, 4094, 2004, 3491, 2011, 1996, 12317, 2147, 1997, 25540, 2666, 1998, 27106, 1010, 1998, 1996, 2342, 2003, 2613, 2005, 10390, 1012, 1999, 2804, 1010, 1996, 16746, 3141, 2000, 7637, 8010, 2024, 3365, 1010, 2061, 2023, 2003, 1037, 8476, 1997, 3327, 3037, 2651, 1012, 4117, 2007, 1996, 4274, 1997, 2477, 1006, 22834, 2102, 1007, 1010, 3796, 24925, 2078, 6786, 2064, 2393, 2275, 2039, 2019, 9414, 8822, 2291, 1010, 2029, 2097, 5547, 8830, 2051, 2076, 1037, 4945, 2030, 2130, 3424, 6895, 17585, 2068, 1012, 22834, 2102, 14125, 5761, 1996, 2951, 3563, 2000, 2169, 5080, 1010, 1998, 3796, 24925, 2078, 6786, 1010, 2083, 2037, 8152, 1011, 2000, 1011, 8152, 8778, 1010, 2064, 11302, 1996, 11109, 1997, 1996, 11860, 2951, 1012, 5674, 1010, 2005, 2742, 1010, 1037, 23307, 4434, 2006, 1037, 2373, 2240, 2007, 1037, 8822, 2291, 5398, 1997, 2069, 2028, 22834, 2102, 3482, 1024, 2065, 1996, 23307, 4282, 2055, 1996, 2553, 1010, 2002, 2097, 2022, 2583, 2000, 11826, 2009, 1010, 2030, 4604, 6270, 2592, 1012, 2065, 2057, 17409, 2023, 2309, 3482, 2007, 2500, 2061, 2008, 2035, 1996, 8378, 1997, 1996, 2897, 9398, 3686, 1996, 11109, 1997, 1996, 2951, 1516, 1996, 2168, 27354, 2944, 2008, 1996, 2978, 3597, 2378, 14164, 9398, 3686, 1996, 5991, 2328, 2011, 1996, 18464, 1516, 1996, 8378, 1997, 1996, 2060, 3941, 2097, 2059, 2022, 2583, 2000, 2128, 27241, 19661, 1996, 2592, 2008, 1996, 3941, 10255, 1012, 9413, 20793, 3560, 2592, 2097, 2022, 2855, 11156, 1012, 1996, 26743, 8553, 3471, 16112, 1999, 3796, 24925, 2078, 6786, 2145, 2191, 1996, 7375, 1997, 2023, 2828, 1997, 2291, 3375, 1010, 2021, 7300, 2024, 2927, 2000, 12636, 1012, 3934, 2107, 2004, 22834, 2696, 6148, 2000, 4769, 3314, 3563, 2000, 10266, 2090, 3796, 24925, 2078, 1998, 22834, 2102, 1012, 2122, 2024, 2074, 1037, 2261, 3572, 1997, 3796, 24925, 2078, 6786, 2108, 2109, 1999, 1996, 2943, 4753, 1010, 2045, 2097, 2022, 2116, 2062, 2008, 2024, 2664, 2000, 2022, 4453, 1012, 2065, 2017, 2052, 2066, 2000, 2424, 2041, 2062, 1010, 2079, 2025, 16390, 2000, 3967, 2149, 1012, 3796, 24925, 2078, 1998, 1996, 3665, 4753, 1024, 8767, 1998, 6695, 8292, 2102, 3720, 9765, 1041, 9692, 13665, 4487, 13102, 10698, 3468, 4372, 22357, 1012, 2071, 3796, 24925, 2078, 2022, 2109, 2000, 23569, 27605, 3366, 2030, 2130, 5547, 1996, 3465, 1997, 8441, 1029, 3796, 24925, 2078, 6786, 2191, 2009, 2825, 1010, 2682, 2035, 1010, 2000, 5460, 4179, 3643, 15210, 1998, 5460, 4179, 10618, 3136, 1010, 1999, 3327, 2011, 2437, 2009, 2825, 2000, 4487, 13102, 16700, 2007, 9480, 2353, 4243, 2006, 3056, 6194, 1012, 1999, 1996, 6123, 1997, 8441, 3665, 1031, 1529, 1033, 5622, 2890, 2474, 7621, 2139, 3796, 24925, 2078, 1998, 1996, 3665, 4753, 1024, 8767, 1998, 6695, 2007, 1996, 2248, 21887, 23350, 5325, 1010, 7027, 2867, 2097, 21268, 2031, 2000, 10938, 2000, 7374, 2005, 1996, 2203, 1997, 1996, 5325, 1998, 3113, 10390, 1521, 3791, 2005, 10039, 1998, 16987, 1012, 2537, 8859, 2097, 2036, 2031, 2000, 15581, 2000, 2047, 14679, 1024, 3675, 8503, 2015, 1010, 2047, 7040, 1998, 2130, 1999, 2070, 3572, 2120, 3989, 1997, 2537, 1012, 2651, 1521, 1055, 4425, 4677, 2003, 2947, 2108, 20275, 1998, 3791, 2000, 2022, 24501, 18622, 4765, 1012, 4826, 1521, 1055, 4425, 4677, 2097, 2031, 2053, 3601, 2021, 2000, 2022, 13338, 1012, 2129, 2064, 2047, 6786, 4769, 2122, 3314, 1029, 2182, 2024, 2093, 3145, 3787, 2000, 5335, 1996, 24501, 18622, 10127, 1998, 16987, 1997, 2115, 4425, 4677, 1012, 1015, 1012, 10629, 7888, 2004, 1037, 2836, 15929, 2028, 1997, 1996, 2364, 7860, 1997, 24501, 18622, 10127, 2003, 2000, 5441, 7182, 2836, 2750, 1996, 3445, 7170, 1012, 1996, 2190, 2126, 2000, 4769, 2023, 2391, 2003, 2000, 2031, 1037, 2200, 2204, 15087, 2836, 1010, 1998, 2028, 1997, 1996, 2087, 2590, 2685, 2005, 2023, 2003, 1996, 2951, 2944, 2008, 2097, 2022, 2109, 1012, 2651, 2045, 2024, 2093, 2364, 4127, 1997, 17881, 1012, 2006, 1996, 2028, 2192, 1010, 28771, 17881, 2107, 2004, 2026, 2015, 4160, 2140, 1010, 14721, 2030, 2695, 17603, 2015, 4160, 2140, 2008, 3573, 2951, 1999, 7251, 1010, 1999, 1037, 16367, 2126, 1010, 1998, 3499, 2017, 2000, 23032, 2068, 2006, 1996, 3978, 1997, 2062, 2030, 2625, 3375, 6550, 1012, 2006, 1996, 2060, 2192, 1010, 16839, 4160, 2140, 17881, 2008, 3573, 2951, 2004, 2027, 2024, 2200, 3928, 2005, 3722, 10861, 5134, 1010, 2021, 5047, 2062, 3375, 10861, 5134, 2007, 2062, 7669, 1010, 2926, 2065, 2027, 5478, 6550, 2090, 5200, 1012, 2633, 1010, 10629, 17881, 1010, 2107, 2004, 9253, 2549, 3501, 1010, 11234, 2013, 1996, 2034, 2048, 5939, 18155, 8649, 3111, 2011, 23977, 2951, 2004, 2019, 4874, 1998, 2049, 6550, 2007, 2060, 5200, 1010, 2029, 2003, 7812, 2005, 12708, 8822, 1012, 2057, 2064, 2059, 3573, 2256, 4031, 1010, 2049, 6550, 2007, 2049, 6177, 1010, 2049, 3295, 1999, 1996, 12708, 4677, 2012, 1037, 2445, 2617, 1529, 1998, 2023, 1010, 2007, 15502, 2836, 2005, 1996, 2828, 1997, 6364, 2057, 2097, 2031, 2000, 2079, 1024, 4209, 1996, 2110, 1997, 2256, 4031, 1999, 2613, 2051, 1010, 2030, 2108, 2583, 2000, 2855, 6709, 1996, 4216, 1997, 2019, 9626, 11983, 1999, 1996, 2537, 4677, 1012, 1016, 1012, 1996, 6112, 2000, 4769, 24501, 18622, 10127, 1998, 10956, 10813, 1999, 11813, 3572, 2107, 2004, 1996, 2522, 17258, 1011, 2539, 5325, 1010, 2043, 1037, 3278, 2112, 1997, 2537, 3431, 4353, 5549, 1010, 2009, 2003, 2590, 2000, 2022, 2583, 2000, 2855, 4094, 2039, 4425, 4677, 8822, 5906, 1012, 1999, 2023, 6123, 1010, 6112, 2578, 2031, 2019, 6151, 19825, 3468, 5056, 1024, 2065, 1996, 4294, 2003, 2881, 2007, 2023, 1999, 2568, 1010, 1996, 6112, 10802, 2064, 4769, 25169, 8073, 1010, 2241, 2006, 5157, 1010, 23569, 27605, 6774, 2119, 1996, 2326, 2429, 2000, 1996, 7170, 1010, 1998, 1996, 6502, 5366, 1012, 2005, 2742, 1010, 2065, 1037, 13859, 2194, 4122, 2000, 2417, 7442, 6593, 1037, 2312, 2112, 1997, 2049, 4425, 4677, 2000, 1996, 2537, 1997, 2019, 3424, 1011, 7865, 3949, 1010, 2009, 5942, 2307, 12943, 15148, 2000, 28667, 2239, 8873, 27390, 2063, 2035, 1996, 9651, 1998, 8822, 5906, 2000, 5676, 10539, 1998, 7561, 1011, 2489, 2537, 1012, 2065, 2122, 8822, 5906, 2024, 4354, 1999, 1996, 6112, 1010, 2027, 2097, 2022, 2583, 2000, 4089, 16888, 1996, 2047, 7170, 1010, 2210, 2011, 2210, 1010, 2302, 2383, 2000, 2344, 3563, 8051, 1010, 9530, 8873, 27390, 2063, 2009, 1998, 16500, 2009, 13909, 1012, 3458, 1996, 7170, 1011, 3173, 3977, 1010, 6112, 7248, 2036, 3499, 3760, 2867, 2000, 21296, 2037, 2578, 5973, 1999, 1996, 2088, 1010, 5834, 2006, 4087, 2030, 3423, 5918, 1012, 2021, 2023, 12943, 15148, 2064, 2036, 2022, 4162, 2000, 3469, 2867, 1999, 1996, 10813, 1997, 2578, 4056, 2000, 5325, 3433, 1010, 2005, 2742, 1012, 3081, 1037, 6112, 6502, 1010, 2045, 2003, 2053, 2342, 2000, 3524, 2005, 2047, 14903, 2030, 2037, 9563, 1024, 1996, 2051, 2000, 3006, 2003, 6551, 14613, 1012, 1999, 1996, 2613, 2553, 1997, 1996, 5911, 2008, 2097, 6133, 2000, 4503, 1037, 21887, 23350, 17404, 1010, 2009, 2097, 2025, 2069, 2022, 1037, 3160, 1997, 11302, 2075, 1037, 3435, 1010, 8114, 1998, 10539, 2537, 4677, 1012, 2138, 1996, 2248, 5325, 2057, 2024, 13643, 13417, 2038, 11013, 2256, 2342, 2005, 16987, 1012, 2138, 2009, 2097, 2025, 2074, 2022, 1037, 3160, 1997, 3722, 3688, 1010, 2021, 1997, 6143, 2270, 2740, 7300, 1010, 2057, 2097, 2342, 2000, 2022, 2583, 2000, 2031, 16476, 2006, 2122, 11583, 1997, 2537, 1012, 1996, 3796, 24925, 2078, 2064, 2651, 11302, 1998, 6869, 2000, 2023, 2342, 1012, 1017, 1012, 9229, 2951, 3737, 2007, 1996, 3796, 24925, 2078, 3796, 24925, 2078, 6786, 9585, 1996, 5915, 10813, 1997, 2578, 2008, 2064, 2059, 2022, 2109, 2011, 2035, 1010, 2030, 2011, 3653, 1011, 4453, 5889, 1010, 25505, 6970, 25918, 8010, 1012, 2083, 1996, 19888, 13705, 10595, 2006, 2029, 2122, 6786, 2024, 2241, 1010, 2009, 2003, 5546, 2825, 2000, 7271, 10580, 1996, 11109, 1997, 2592, 1012, 2035, 6089, 2024, 2651, 19209, 2011, 1996, 21887, 23350, 5325, 1010, 1998, 7325, 3791, 1998, 14243, 2024, 2525, 20607, 2875, 1037, 2367, 4432, 1998, 3921, 1012, 3251, 2057, 2024, 3331, 2055, 2833, 1010, 9871, 2030, 2060, 7325, 3688, 1010, 1996, 3737, 1010, 5814, 2832, 1998, 4761, 1997, 1996, 3688, 2097, 2022, 2172, 2062, 2590, 5876, 1999, 2256, 9804, 1012, 2069, 9639, 2008, 10639, 13338, 2135, 2055, 2129, 2027, 2024, 2081, 1998, 5500, 2097, 2022, 2583, 2000, 3233, 2041, 1012, 2023, 2097, 5478, 3737, 1998, 3404, 13966, 12708, 2951, 1010, 1998, 3796, 24925, 2078, 6786, 2064, 2022, 1997, 2307, 2393, 1012, 2006, 1996, 2028, 2192, 1010, 2011, 25505, 1996, 8346, 1997, 2035, 4425, 4677, 5889, 2046, 1037, 2691, 9651, 6994, 1025, 2006, 1996, 2060, 2192, 1010, 2011, 8292, 28228, 14116, 1996, 11109, 1997, 1996, 2951, 3133, 1012, 1999, 2023, 2126, 1010, 2057, 2064, 2025, 2069, 5335, 1996, 11712, 1998, 3737, 1997, 2951, 3133, 2046, 1996, 4425, 4677, 1010, 2011, 22380, 2035, 1996, 2867, 1010, 2021, 2057, 2064, 2036, 5335, 1996, 15258, 1997, 2592, 12247, 1999, 1996, 2724, 1997, 2019, 9626, 11983, 1012, 1999, 1996, 2168, 2126, 1010, 2023, 2951, 2064, 2022, 24162 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2991, 4220, 4550, 1011, 2039, 1999, 7876, 2669, 2007, 1996, 5508, 1997, 7114, 3310, 2062, 9694, 4220, 2147, 1012, 2794, 2000, 1996, 5156, 10168, 12241, 6562, 1998, 17901, 2075, 2003, 1037, 2047, 2275, 1997, 8518, 1010, 2107, 2004, 7053, 8208, 1998, 10975, 19496, 3070, 1012, 2004, 9694, 2004, 2122, 8518, 2064, 2022, 1010, 2027, 1521, 2128, 10232, 2000, 5676, 2115, 4220, 12237, 7965, 2083, 1996, 3467, 1998, 2003, 3201, 2000, 4982, 1999, 1996, 3500, 7292, 1012, 6967, 3636, 5957, 2003, 2182, 2005, 3200, 5608, 2040, 2123, 1521, 1056, 2031, 1996, 2051, 2000, 7166, 2000, 2037, 4210, 2058, 1996, 7114, 1012, 2256, 2991, 4220, 4550, 1011, 2039, 2003, 2028, 1997, 2256, 2062, 2759, 2578, 1998, 2038, 3039, 10168, 2015, 2802, 7876, 2669, 2000, 2994, 16299, 2035, 2095, 2461, 1012, 2005, 2658, 2393, 1999, 8498, 2115, 4220, 1010, 2655, 1006, 28952, 1007, 3770, 2487, 1011, 6356, 22932, 1012, 2655, 2149, 2651, 2991, 4220, 4550, 1011, 2039, 2000, 5441, 10168, 2740, 2028, 1997, 1996, 2034, 2477, 2057, 2079, 2043, 9344, 1037, 7396, 1521, 1055, 4220, 2003, 9268, 2757, 3727, 1998, 11385, 1012, 2004, 3727, 2991, 1998, 3104, 2115, 10168, 1010, 2027, 3796, 9325, 2013, 4285, 2115, 5568, 1010, 2029, 13416, 2300, 9345, 17822, 3370, 1012, 2011, 9344, 2185, 2757, 3269, 3043, 1010, 2057, 2064, 28805, 2115, 4220, 1998, 4652, 1024, 1011, 14211, 9673, 2320, 15289, 2030, 28079, 7870, 2031, 2058, 25310, 2115, 10168, 1010, 2009, 2064, 2022, 3697, 2000, 6366, 2068, 1012, 28079, 26835, 2015, 5787, 1996, 6147, 1997, 2115, 10168, 2013, 3229, 2075, 2300, 1010, 4786, 2009, 2000, 2732, 3726, 1998, 2776, 2007, 2121, 1998, 3280, 1012, 6967, 3636, 5957, 1521, 1055, 4220, 4550, 1011, 2039, 2326, 2064, 2191, 2035, 1996, 4489, 1999, 4352, 2115, 10168, 2000, 24299, 1999, 1996, 3500, 1012, 4563, 29347, 8156, 2005, 2115, 4220, 2295, 2411, 17092, 1010, 4563, 29347, 8156, 2003, 4187, 2076, 1996, 2991, 4220, 4550, 1011, 2039, 2832, 1012, 2043, 2057, 29347, 11657, 2115, 10168, 1010, 2057, 3499, 2115, 6147, 2488, 3229, 2000, 7722, 1010, 2004, 2092, 2004, 1996, 16326, 1997, 2300, 1998, 2060, 20435, 1012, 2004, 2115, 6147, 2468, 2740, 3771, 1010, 2027, 4982, 6748, 2077, 1996, 2746, 3467, 1012, 2320, 1996, 4586, 14899, 2015, 1010, 2115, 10168, 2097, 2031, 2054, 2009, 3138, 2000, 4982, 2440, 1998, 9742, 1012, 2488, 2664, 1010, 29347, 8156, 15804, 2015, 5800, 9233, 3258, 1010, 2029, 2003, 2019, 6581, 2126, 2000, 2491, 2008, 2818, 1012, 2991, 4220, 12241, 6562, 1998, 10975, 19496, 3070, 6967, 3636, 5957, 1521, 1055, 10975, 19496, 3070, 2326, 7336, 12241, 6562, 1996, 5628, 1997, 14568, 1998, 3628, 2061, 2027, 1521, 2128, 6133, 3085, 2802, 1996, 3467, 1012, 2144, 1996, 3727, 2097, 2031, 5357, 2013, 2115, 11006, 2854, 1010, 2009, 3084, 2005, 1996, 3819, 2051, 2000, 6366, 2151, 5410, 2030, 5591, 5628, 1012, 2043, 1996, 3467, 2706, 2718, 1010, 5410, 5628, 7166, 2000, 8579, 1998, 2991, 1010, 4525, 1999, 3200, 4053, 1012, 2582, 1010, 5357, 5628, 2064, 2022, 3697, 2000, 6366, 1012, 2011, 9268, 5410, 5628, 2077, 1996, 3147, 2161, 1010, 2057, 2064, 2644, 1037, 3291, 2077, 2009, 4627, 1010, 12725, 2008, 2115, 4264, 1998, 3628, 2994, 7965, 2802, 1996, 3467, 1012, 12241, 6562, 1998, 10975, 19496, 3070, 2578, 2024, 2036, 2590, 2005, 1996, 2740, 1997, 2115, 3628, 1998, 18812, 1012, 2043, 2757, 5628, 2024, 3718, 1999, 1996, 2991, 1010, 2009, 9005, 2625, 2147, 2005, 1996, 3628, 1998, 18812, 2144, 2027, 2024, 3223, 2000, 3975, 2037, 2943, 2426, 8491, 5628, 2076, 1996, 3467, 1012, 2023, 7126, 2068, 3573, 2062, 2943, 1010, 2029, 2003, 2109, 2000, 2393, 2068, 19319, 1996, 3147, 7715, 1012, 2004, 1037, 2765, 1010, 2027, 2097, 2022, 2488, 4810, 1999, 1996, 3500, 2005, 15873, 3930, 1012, 1999, 2804, 1010, 2144, 4295, 1011, 4786, 9728, 7166, 2000, 2994, 22170, 1998, 2185, 2013, 3628, 1998, 18812, 2043, 1996, 4633, 9010, 1010, 2009, 1521, 1055, 2190, 2000, 10975, 9816, 2076, 21399, 7715, 1012, 2023, 16263, 9728, 2013, 1999, 25969, 2075, 1996, 2752, 1997, 1996, 3392, 2008, 2020, 3728, 20144, 1012, 2991, 4220, 2345, 5568, 3013, 1998, 12241, 1999, 7547, 2005, 1996, 3467, 1010, 2009, 1521, 1055, 6827, 2000, 3073, 2115, 10168, 2007, 1037, 2345, 3013, 1012, 2256, 2578, 3749, 1996, 12241, 2115, 3200, 3791, 2000, 7374, 2009, 2005, 1996, 3500, 1012, 2256, 10168, 12241, 6562, 16171, 3930, 1998, 4473, 2149, 2000, 4550, 2039, 2151, 11385, 2187, 7840, 2320, 1996, 4550, 1011, 2039, 2003, 3143, 1012, 2327, 2334, 4220, 4550, 1011, 2039, 2065, 2017, 1521, 2128, 2559, 2000, 7374, 2115, 4220, 2005, 1996, 3467, 1010, 1037, 4220, 4550, 1011, 2039, 2003, 1999, 10175, 6692, 3468, 1012, 6967, 3636, 5957, 2064, 2393, 2017, 7969, 2115, 10168, 2802, 1996, 3467, 1998, 5676, 2049, 15502, 3930, 1999, 1996, 3500, 1012, 2655, 2149, 1998, 3713, 2000, 2256, 5379, 8013, 2326, 3095, 1012, 2057, 2064, 3073, 2017, 2007, 2019, 15184, 14686, 1998, 2562, 2115, 10168, 2844, 2802, 1996, 7114, 1012, 2991, 4220, 4550, 1011, 2039, 1999, 7876, 2669, 6967, 3636, 5957, 2003, 1996, 4239, 3601, 1999, 7876, 2669, 2005, 2991, 4220, 4550, 1011, 2039, 2578, 1012, 2007, 2086, 1997, 3325, 1010, 2057, 1521, 2310, 2764, 1037, 3045, 5891, 2241, 2006, 1996, 8066, 1997, 2256, 3095, 1010, 1996, 3737, 1997, 2256, 2326, 1010, 1998, 1996, 8984, 8010, 1997, 2256, 7597, 1012, 2404, 2115, 3404, 1999, 2149, 1010, 1998, 2057, 1521, 2222, 2131, 2115, 4220, 2559, 11867, 6799, 1011, 1998, 1011, 8487, 1999, 2053, 2051, 1012, 4372, 24669, 2256, 2136, 2000, 7438, 2115, 4220, 2157, 1010, 1998, 2507, 2017, 1996, 3463, 2017, 2342, 2302, 13950, 2075, 2115, 5166, 1012, 2007, 2256, 2991, 4550, 1011, 2039, 2578, 1010, 2017, 2064, 2191, 2469, 2115, 4220, 3504, 2488, 2320, 1996, 3467, 2706, 2272, 2000, 2019, 2203, 1012, 2043, 2115, 7114, 3727, 2131, 7567, 2104, 1996, 4586, 1010, 2009, 2064, 2191, 2005, 3243, 1037, 6752, 2320, 1996, 4586, 14899, 2015, 1010, 1998, 2057, 2215, 2000, 2393, 2017, 4468, 2008, 1012, 2005, 1996, 5770, 1997, 2115, 10168, 1010, 10887, 2149, 2005, 2256, 2991, 4550, 1011, 2039, 2578, 1012, 2000, 6134, 1037, 16053, 2030, 2000, 5227, 1037, 14686, 1010, 2507, 2149, 1037, 2655, 2012, 1006, 28952, 1007, 3770, 2487, 1011, 6356, 22932, 2651, 1012, 2057, 2024, 2467, 2182, 2000, 2393, 1010, 1998, 2256, 3042, 4505, 2064, 3437, 2151, 3980, 2017, 2089, 2031, 2005, 2149, 1012, 2338, 2019, 6098, 1037, 3143, 2846, 1997, 2991, 4550, 1011, 2039, 2578, 2057, 1521, 2128, 1037, 2440, 1011, 2326, 28404, 2194, 3201, 2000, 2202, 2006, 2151, 3105, 2017, 2089, 2031, 2005, 2149, 1012, 2008, 2950, 2151, 2147, 2008, 2017, 2089, 2342, 1999, 1998, 2105, 2115, 4220, 2005, 1996, 2991, 1012, 2013, 7053, 11221, 2000, 17901, 4815, 1010, 2057, 2031, 2035, 2115, 3791, 3139, 1012, 2057, 1521, 2222, 4550, 2039, 1996, 6752, 2008, 2991, 2081, 1998, 2031, 2115, 4220, 4810, 2005, 3467, 1998, 3500, 1012, 2256, 2578, 2421, 1024, 1011, 7053, 10958, 6834, 1998, 11221, 1011, 3589, 1010, 11669, 1010, 1998, 11385, 8208, 1011, 7053, 14163, 29358, 2075, 1011, 9268, 2695, 1011, 12636, 3372, 20777, 1011, 9268, 3296, 4264, 1011, 12241, 6562, 1998, 10975, 19496, 3070, 1011, 10168, 2729, 1011, 1529, 1998, 2062, 1996, 7114, 2064, 2022, 1037, 7823, 2051, 2005, 4220, 6032, 1012, 14599, 1010, 2007, 2256, 2440, 2846, 1997, 2578, 2012, 2115, 13148, 1010, 2057, 1521, 2128, 2437, 2009, 2035, 1996, 6082, 1012, 2991, 4550, 1011, 11139, 2024, 1037, 2307, 2126, 2000, 5676, 2017, 2202, 5372, 2729, 1997, 2115, 10168, 2035, 2095, 2461, 1012, 1996, 4586, 1997, 3467, 2064, 2022, 2524, 2438, 2006, 2115, 3200, 1012, 2043, 2017, 11506, 2008, 2007, 1037, 6741, 1997, 3727, 2006, 1996, 5568, 1010, 2115, 5568, 2064, 2031, 1037, 2524, 2051, 27755, 2075, 1012, 2256, 2991, 4550, 1011, 2039, 2578, 2024, 2881, 2000, 2393, 2017, 13730, 2008, 3291, 1012, 2191, 2115, 4220, 2298, 8403, 1998, 7965, 2043, 2017, 3967, 2149, 1012, 1996, 2190, 2126, 2000, 2131, 2318, 2003, 2000, 2655, 2256, 2136, 1998, 2338, 1037, 16053, 1012, 2057, 2215, 2000, 6848, 2115, 28404, 3289, 2007, 2017, 1998, 5771, 2041, 2019, 3921, 2005, 2115, 10168, 1012, 2707, 2007, 1037, 3167, 3550, 16053, 2025, 2469, 2054, 2017, 2342, 1029, 2559, 2005, 4117, 2578, 1029, 2514, 2489, 2000, 2338, 1037, 16053, 2007, 2149, 1010, 1998, 2057, 1521, 2222, 2175, 2058, 2115, 2326, 7047, 1012, 2057, 1521, 2222, 18365, 1037, 2266, 1997, 2256, 2136, 2000, 14358, 2115, 3791, 1998, 3073, 2017, 2007, 1037, 6851, 2895, 2933, 1010, 2164, 19940, 1998, 3465, 10035, 1012, 2027, 1521, 2222, 2036, 2022, 3407, 2000, 3437, 2151, 3980, 2017, 2089, 2031, 1010, 3228, 2017, 2035, 2017, 2342, 2000, 2191, 2019, 6727, 3247, 2005, 2115, 3200, 1012, 2202, 5056, 1998, 2338, 1037, 16053, 2651, 1012, 1996, 3800, 1997, 1996, 16053, 2003, 2000, 2191, 2469, 2008, 2057, 2024, 2006, 1996, 2168, 3931, 2004, 2017, 2007, 1996, 4708, 2012, 2192, 1012, 2057, 2215, 2000, 6848, 2115, 28404, 3289, 2012, 3091, 1998, 4503, 1037, 2933, 2008, 2035, 4243, 2064, 5993, 2588, 2077, 2057, 4088, 1012, 2057, 1521, 2222, 2424, 1996, 5372, 5166, 1998, 3058, 2005, 1996, 4550, 1011, 2039, 1010, 2059, 2035, 2017, 2442, 2079, 2003, 3524, 2005, 2149, 2000, 2272, 2011, 1998, 2131, 1996, 3105, 2589, 1012, 6666, 1997, 2256, 2991, 7053, 4550, 1011, 2039, 2578, 2017, 2064, 4175, 2006, 2149, 2000, 2507, 2017, 1996, 3463, 2017, 2342, 1010, 2215, 1010, 1998, 10107, 1012, 2053, 3043, 2054, 2057, 2079, 1010, 2057, 2024, 2467, 16030, 1998, 8114, 1010, 3529, 2017, 3435, 2096, 2725, 1996, 3105, 2157, 1012, 2043, 2017, 5454, 2149, 1010, 2017, 2064, 2022, 3056, 2008, 2057, 1521, 2222, 2265, 2039, 2006, 2051, 1998, 3201, 2000, 2147, 1012, 2057, 1521, 2222, 2191, 2469, 2057, 2681, 2017, 2007, 1996, 4550, 4355, 4220, 2006, 1996, 3796, 1012, 1996, 2034, 2518, 2017, 1521, 2222, 5060, 2043, 2256, 3626, 2003, 2551, 2006, 2115, 3200, 2003, 1996, 2147, 3802, 16066, 1012, 2043, 2057, 2265, 2039, 1998, 6154, 2041, 1997, 1996, 4744, 1010, 2057, 2131, 3442, 2000, 2009, 2007, 1037, 2933, 1999, 2568, 1012, 2045, 2097, 2022, 2053, 2051, 13842, 11333, 4246, 2989, 2105, 1516, 2057, 2097, 4372, 18908, 2256, 2991, 4550, 1011, 2039, 2933, 1010, 1998, 2115, 4220, 2097, 2022, 2559, 8403, 1999, 2053, 2051, 1012, 2256, 11778, 3921, 2000, 9344, 2115, 4220, 2025, 2069, 21312, 1037, 4248, 3105, 2021, 21312, 2008, 2498, 2097, 2022, 4771, 2138, 2057, 2147, 3357, 1011, 2011, 1011, 3357, 1012, 2057, 2147, 2855, 1998, 4550, 2135, 1010, 2061, 2057, 2064, 2681, 2017, 2007, 1037, 4840, 10168, 2000, 2227, 1996, 3467, 2007, 1012, 2021, 4550, 20942, 2003, 2074, 2028, 1997, 1996, 2566, 5705, 1997, 2256, 2578, 1012, 2045, 2024, 2116, 2062, 1012, 2007, 2256, 2991, 4220, 2578, 1010, 2017, 2064, 2036, 5987, 2000, 5959, 1996, 2206, 2307, 6666, 1024, 1011, 2740, 3771, 10168, 1998, 5800, 1011, 3618, 3467, 5012, 1011, 2051, 10995, 1011, 2625, 6032, 1999, 1996, 3500, 2008, 1521, 1055, 2157, 1024, 2256, 2991, 6032, 2578, 7969, 1996, 2740, 1998, 11109, 1997, 2115, 4220, 1010, 12725, 2009, 1521, 1055, 3201, 2005, 3467, 1012, 2057, 1521, 2222, 2562, 2009, 1999, 2204, 2740, 2061, 2008, 2017, 2031, 2625, 6752, 1010, 2625, 6911, 1010, 1998, 11006, 2099, 5568, 1999, 2051, 2005, 1996, 3500, 1012, 2023, 2003, 2074, 1037, 7099, 1997, 2256, 28404, 11532, 1012, 2178, 2307, 5770, 1997, 14763, 2149, 2003, 1996, 28404, 3716, 2017, 2097, 2031, 3229, 2000, 2096, 2551, 2007, 2149, 1012, 2057, 2024, 2182, 2000, 3437, 2151, 3980, 2017, 2089, 2031, 2055, 2115, 5957, 1998, 3073, 7300, 2000, 2115, 3471, 1012, 2131, 1999, 3543, 2651, 2065, 2017, 2031, 2151, 3980, 1012, 6666, 1997, 10768, 28228, 3669, 6774, 2115, 5568, 2028, 1997, 1996, 6459, 1997, 2019, 8702, 10168, 2003, 2092, 1011, 2921, 1010, 4550, 1011, 3013, 1010, 2784, 2665, 5568, 1012, 2096, 2023, 2828, 1997, 5568, 3475, 1005, 1056, 3697, 2000, 4982, 2007, 1996, 5372, 6028, 1010, 2009, 2515, 5478, 1037, 2843, 1997, 2729, 1998, 2204, 1011, 3737, 10768, 28228, 28863, 1012, 10768, 28228, 3669, 6774, 2115, 5568, 2064, 2022, 24026, 2138, 2009, 2323, 2022, 2589, 2076, 3056, 7715, 2005, 1996, 2190, 3463, 1010, 2007, 1996, 2991, 2161, 2108, 2028, 1997, 1996, 2087, 2590, 2335, 1012, 25978, 2023, 2097, 2147, 2114, 1996, 2740, 1997, 2115, 5568, 1012, 2012, 6967, 3636, 5957, 1010, 2057, 2202, 2115, 5568, 5667, 1010, 1998, 2008, 2003, 2339, 2057, 3188, 25090, 4371, 2991, 10768, 28228, 22731, 2578, 1012, 2013, 1996, 7117, 2000, 1996, 3302, 1010, 10768, 28228, 3669, 6774, 2097, 2079, 2204, 2005, 2115, 5568, 1012, 2007, 2256, 2326, 1010, 2017, 2097, 5770, 1999, 2116, 3971, 1010, 2164, 1996, 2206, 1012, 2009, 20776, 1996, 6147, 2000, 19319, 1996, 21399, 7715, 2044, 2621, 1010, 2057, 3227, 2644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2057, 2089, 3749, 29563, 1998, 2569, 4107, 2013, 2051, 2000, 2051, 1006, 2164, 2021, 2025, 3132, 2000, 2399, 29563, 1010, 2489, 2377, 1010, 2489, 23371, 1998, 2990, 11008, 29536, 22368, 2015, 1007, 2029, 2024, 3395, 2000, 2023, 6781, 3343, 1010, 1996, 5310, 3820, 1006, 2004, 12711, 2000, 2017, 1007, 1010, 1998, 2151, 4712, 1011, 3563, 3408, 1998, 3785, 2081, 2800, 2000, 2017, 1006, 1523, 4712, 3408, 1524, 1007, 1012, 1999, 1996, 2724, 1997, 1037, 4736, 2090, 1996, 3408, 2275, 1999, 1996, 6781, 3343, 1010, 1996, 5310, 3820, 1998, 1013, 2030, 1996, 4712, 3408, 1006, 2000, 1996, 6698, 2008, 1996, 3408, 6611, 2000, 1037, 6781, 2030, 2569, 3749, 1007, 1010, 1996, 2206, 2344, 1997, 9470, 4618, 6611, 1024, 1006, 1045, 1007, 4712, 3408, 1025, 1006, 2462, 1007, 6781, 3343, 1025, 1006, 3523, 1007, 5310, 3820, 1012, 1996, 6160, 6781, 1024, 2057, 2747, 3749, 1996, 6160, 6781, 2006, 1996, 2206, 3408, 1024, 1011, 1996, 6160, 6781, 3774, 1997, 1037, 2489, 13068, 6781, 1997, 2531, 1003, 1997, 2115, 2034, 12816, 1010, 2039, 2000, 1002, 1013, 1574, 1013, 21853, 8889, 2030, 2456, 7367, 2243, 1006, 5834, 2006, 2115, 4217, 4070, 9598, 1007, 1012, 2005, 2742, 1010, 2065, 2017, 12816, 1002, 3263, 2004, 2115, 2034, 12816, 1010, 2017, 2097, 4374, 1037, 6781, 1997, 1002, 3263, 1999, 2489, 13068, 1011, 1999, 2344, 2000, 4374, 1996, 6160, 6781, 1010, 2017, 2442, 2191, 1037, 2309, 2034, 2051, 12816, 2007, 1996, 4712, 3642, 1024, 6160, 2581, 2581, 2581, 1012, 1011, 4236, 2004, 1037, 2266, 1998, 12816, 1996, 3815, 9675, 1999, 1996, 12711, 4712, 3408, 1006, 2004, 1037, 2309, 12598, 1007, 2046, 2115, 4070, 2076, 1996, 2051, 2558, 9675, 1999, 1996, 4712, 3408, 1012, 3531, 3602, 2008, 2065, 2017, 2191, 1037, 2034, 12816, 2007, 15315, 24714, 2030, 5658, 24038, 2017, 2097, 2025, 2022, 7792, 2000, 4374, 1996, 6160, 6781, 1012, 1011, 4983, 3090, 4728, 1999, 1996, 4712, 3408, 1010, 1996, 6160, 6781, 2097, 2022, 5827, 2000, 2115, 4070, 2588, 2115, 12816, 1012, 2070, 15365, 2089, 5478, 2008, 2017, 12040, 1037, 4366, 1999, 2344, 2000, 4374, 1996, 6160, 6781, 1012, 1999, 2107, 3572, 1010, 4945, 2000, 4366, 1998, 3073, 1037, 7378, 10373, 4769, 2089, 17552, 1996, 6160, 6781, 11675, 1012, 2073, 2107, 1037, 16840, 12033, 1010, 2023, 2097, 2022, 3090, 1999, 1996, 12711, 4712, 3408, 1012, 1011, 2000, 2022, 7792, 2005, 1996, 6160, 6781, 1010, 2017, 2442, 1024, 1011, 2022, 1037, 2047, 2266, 1998, 2025, 2031, 3130, 14140, 2007, 6255, 2581, 1012, 4012, 1011, 2025, 2031, 2363, 2151, 2060, 6160, 6781, 2006, 6255, 2581, 1012, 4012, 1025, 1011, 2025, 2031, 2363, 2151, 6160, 6781, 2013, 2593, 1997, 1996, 6070, 2620, 26393, 1012, 4012, 2030, 6070, 2620, 15671, 5740, 1012, 4012, 11744, 1025, 1011, 4236, 2004, 1037, 2266, 1998, 12816, 1996, 3815, 9675, 1999, 1996, 12711, 4712, 3408, 1006, 2004, 1037, 2309, 12598, 1007, 2046, 2115, 4070, 2076, 1996, 2051, 2558, 9675, 1999, 1996, 4712, 3408, 1012, 1011, 7604, 2000, 1000, 3988, 12816, 1000, 1010, 1000, 2034, 12816, 6781, 1000, 1010, 1000, 2674, 2039, 6781, 1000, 1998, 1000, 2034, 2051, 6781, 1000, 2035, 6523, 2000, 1037, 6160, 6781, 1012, 1011, 2017, 2097, 2069, 2022, 7792, 2005, 2028, 6160, 6781, 1998, 6160, 29563, 2024, 3132, 2000, 2028, 1006, 1015, 1007, 2447, 2566, 4398, 1012, 1011, 2320, 2017, 2031, 2042, 4379, 1996, 6160, 6781, 2017, 2097, 2025, 2022, 7792, 2000, 5770, 2013, 2151, 2060, 2034, 12816, 6781, 15365, 3253, 2006, 1996, 6070, 2620, 15671, 5740, 1012, 4012, 1010, 6070, 2620, 26393, 1012, 4012, 2030, 6255, 2581, 1012, 4012, 11744, 1012, 1011, 3531, 3602, 2008, 1996, 6160, 6781, 2029, 2017, 2089, 7515, 2000, 4374, 2013, 6255, 2581, 1012, 4012, 2089, 8137, 2005, 4436, 2029, 2421, 2021, 2024, 2025, 3132, 2000, 2569, 4107, 1998, 7584, 3450, 1012, 2062, 6160, 6781, 4751, 2064, 2022, 2179, 2182, 1012, 2035, 29563, 1006, 2164, 6160, 6781, 1007, 1024, 1996, 2206, 3408, 6611, 2000, 2035, 29563, 3253, 2006, 6255, 2581, 1012, 4012, 1006, 2164, 1996, 6160, 6781, 1007, 1024, 1011, 12731, 14343, 14767, 1024, 6255, 2581, 1012, 4012, 4107, 2377, 1999, 2028, 1997, 1996, 2274, 2206, 12731, 14343, 14767, 1999, 10388, 2007, 1996, 2266, 1005, 1055, 3167, 12157, 1024, 2149, 6363, 1010, 3010, 6363, 1010, 16351, 2361, 1010, 7367, 2243, 2030, 19329, 1012, 7188, 1037, 9598, 2003, 3855, 1006, 1999, 4434, 2007, 29563, 1010, 12816, 11395, 1010, 29475, 1010, 2990, 11008, 2015, 1010, 4385, 1007, 2009, 2097, 2022, 10174, 1999, 2149, 6363, 1998, 4991, 2000, 2115, 4217, 9598, 1012, 1011, 11897, 4892, 5918, 1024, 2035, 29563, 2024, 3395, 2000, 11897, 4892, 5918, 1010, 2029, 2024, 5918, 2008, 5478, 2017, 2000, 2191, 11897, 2869, 2561, 2989, 1037, 3327, 3643, 1999, 2344, 2000, 2022, 2583, 2000, 10632, 6781, 5029, 1998, 2151, 3045, 2015, 3378, 2007, 2216, 5029, 1024, 1011, 4983, 3090, 4728, 1999, 1996, 12711, 4712, 3408, 1010, 2035, 29563, 1006, 2164, 1996, 6160, 6781, 1007, 1998, 2151, 3045, 2015, 5173, 2013, 1037, 6781, 2089, 2069, 2022, 9633, 2044, 2019, 3815, 2561, 2989, 2053, 2625, 2084, 2382, 1006, 4228, 1007, 2335, 1996, 3988, 6781, 3815, 2363, 2038, 2042, 11897, 5596, 1012, 2005, 2742, 1010, 2000, 10632, 1037, 6781, 1997, 1002, 2184, 1998, 2151, 3141, 3045, 2015, 1010, 2017, 2342, 2000, 11897, 2099, 1002, 3998, 1998, 1996, 2972, 6781, 9181, 2442, 2022, 16829, 1012, 1011, 4983, 3090, 4728, 1999, 1996, 12711, 4712, 3408, 1010, 2035, 29563, 1006, 1998, 2151, 3378, 3045, 2015, 1007, 4654, 20781, 2306, 3938, 2420, 1997, 1996, 6781, 2108, 4379, 1012, 2023, 2965, 2008, 2017, 2442, 3143, 1996, 12711, 11897, 4892, 5918, 2306, 3938, 2420, 1997, 2108, 4379, 1996, 6781, 1010, 4728, 2017, 2097, 2005, 21156, 1996, 6781, 1998, 2151, 3045, 2015, 3378, 2007, 2107, 6781, 1012, 1011, 2065, 2017, 3535, 2000, 10632, 2151, 5029, 2013, 2115, 4070, 1998, 2151, 11897, 4892, 5918, 2005, 1037, 6781, 2031, 2025, 2664, 2042, 2949, 1010, 1996, 12711, 6781, 1006, 1998, 3378, 3045, 2015, 1007, 2097, 2022, 8014, 2588, 5356, 5833, 1012, 1011, 11897, 4892, 2006, 2035, 2399, 2012, 6255, 2581, 1012, 4012, 16605, 2875, 1996, 11897, 4892, 5918, 2021, 3056, 2399, 9002, 3618, 8310, 2084, 2500, 1012, 1996, 2206, 2003, 1037, 2862, 1997, 5857, 2875, 11897, 4892, 5918, 2005, 2169, 3265, 2208, 2828, 1024, 11897, 4892, 5857, 2208, 4696, 2208, 6691, 2678, 19832, 1004, 19832, 1010, 11969, 4003, 1010, 6358, 2080, 1010, 2679, 1010, 10877, 1010, 18740, 1998, 2035, 2060, 2399, 2008, 2079, 2025, 3711, 1999, 1996, 2795, 2531, 1003, 2035, 4617, 1997, 20996, 9307, 4674, 1010, 6643, 2072, 2175, 2860, 11662, 1010, 7139, 11662, 1010, 6420, 4003, 11662, 1004, 11662, 2795, 2399, 2322, 1003, 2035, 4617, 1997, 2304, 17364, 1010, 2444, 2304, 17364, 1010, 7632, 1011, 8840, 1010, 2678, 6873, 5484, 1010, 2373, 2678, 11662, 1010, 8670, 16665, 8609, 1010, 2444, 8670, 16665, 8609, 1010, 2444, 9270, 2907, 1521, 7861, 1004, 2444, 20996, 9307, 4674, 2184, 1003, 10231, 2015, 1019, 1003, 1011, 2065, 2017, 11897, 2099, 27813, 8889, 2006, 2678, 19832, 1010, 1996, 2972, 27813, 8889, 1006, 2531, 1003, 1007, 16605, 2875, 1996, 11897, 4892, 5918, 1012, 1011, 2065, 2017, 11897, 2099, 27813, 8889, 2006, 20996, 9307, 4674, 1010, 27708, 1006, 2322, 1003, 1007, 16605, 2875, 1996, 11897, 4892, 5918, 1012, 1011, 2659, 1011, 3891, 11897, 4892, 1010, 2107, 2004, 19244, 2006, 2417, 1013, 2304, 1999, 5020, 8310, 1999, 20996, 9307, 4674, 1010, 2097, 2025, 12346, 1037, 9398, 11897, 2099, 2005, 1996, 5682, 1997, 3116, 1996, 11897, 4892, 5918, 1011, 2323, 2017, 2031, 2062, 2084, 2028, 6781, 2012, 2151, 2028, 2051, 2005, 2029, 1996, 11897, 4892, 5918, 2031, 2025, 2664, 2042, 2777, 1010, 2035, 11897, 2869, 2008, 2017, 2173, 1006, 3395, 2000, 1996, 2682, 1007, 2097, 9002, 2000, 1996, 11897, 4892, 5918, 1997, 1996, 2034, 6781, 2363, 1998, 2069, 2006, 6503, 1997, 1996, 11897, 4892, 5918, 2005, 2008, 6781, 1010, 4651, 2000, 1996, 2117, 2030, 4745, 6781, 1012, 1011, 12546, 1024, 6255, 2581, 1012, 4012, 6781, 15365, 2024, 2330, 2000, 2035, 2256, 2372, 1006, 4983, 3090, 4728, 1999, 1996, 12711, 4712, 3408, 2030, 3141, 4806, 1007, 2021, 2003, 3132, 2004, 4076, 1024, 1011, 2005, 2372, 2284, 1999, 3056, 17370, 1010, 6500, 1998, 2163, 1010, 3056, 29563, 1006, 2164, 1996, 6160, 6781, 1007, 2089, 2025, 2022, 2800, 1998, 2045, 2089, 2022, 2367, 11897, 4892, 5918, 2005, 1996, 10534, 1997, 29563, 1998, 2151, 14830, 3045, 2015, 1012, 2005, 4751, 1997, 2073, 2023, 12033, 1010, 3531, 3967, 2149, 2012, 2266, 2490, 2136, 2011, 22042, 2182, 1012, 1011, 11395, 2005, 6781, 15365, 2003, 3132, 2000, 2028, 2447, 2566, 4398, 2130, 2065, 2045, 2003, 2062, 2084, 2028, 3274, 6025, 2012, 1996, 4769, 1012, 1996, 4767, 1997, 1037, 5310, 2097, 2022, 4340, 2241, 2006, 2035, 2030, 2151, 5257, 1997, 1996, 2206, 1024, 2171, 1010, 5653, 2075, 4769, 1010, 1041, 1011, 5653, 4769, 1010, 12997, 4769, 1010, 4923, 1013, 3715, 4003, 2193, 1010, 3274, 1010, 1998, 2151, 2060, 2433, 1997, 8720, 2008, 2089, 2022, 3223, 1012, 1011, 2115, 4070, 2003, 2081, 2039, 1997, 2119, 2800, 5029, 1998, 7775, 5029, 1012, 2115, 7775, 5029, 2024, 1996, 2561, 1997, 6781, 5029, 2008, 2031, 2025, 2664, 2777, 1996, 11897, 4892, 9095, 1998, 2151, 3045, 2015, 3378, 2007, 2107, 6781, 5029, 1012, 2115, 2800, 5029, 2024, 2216, 5029, 2008, 2017, 2031, 14140, 1998, 2151, 3045, 2015, 5173, 2013, 2107, 5029, 2004, 2092, 2004, 2151, 6781, 5029, 2008, 2031, 2777, 1996, 12711, 11897, 4892, 5918, 1012, 2800, 5029, 2064, 2022, 1024, 1006, 1045, 1007, 2109, 1999, 2151, 12711, 2208, 1025, 2030, 1006, 2462, 1007, 9633, 2012, 2151, 2051, 1999, 10388, 2007, 1996, 10534, 3343, 1012, 1011, 2065, 2017, 2031, 2119, 2800, 5029, 1006, 2029, 2089, 2036, 2022, 3615, 2000, 2006, 1996, 4037, 2004, 1000, 5356, 5703, 1000, 1007, 1998, 7775, 5029, 1006, 2029, 2089, 2036, 2022, 3615, 2000, 2006, 1996, 4037, 2004, 1000, 6781, 5703, 1000, 1007, 1999, 2115, 4070, 1010, 1996, 2279, 11897, 2099, 2017, 2191, 2097, 2224, 7775, 5029, 2034, 1012, 2800, 5029, 2097, 2069, 2022, 2109, 2320, 2115, 7775, 5029, 5703, 2003, 5717, 1012, 2065, 2017, 2173, 1037, 11897, 2099, 2006, 9270, 2399, 2478, 7775, 5029, 2069, 1998, 2663, 2017, 2097, 4374, 1010, 5834, 2006, 2115, 4217, 4070, 9598, 1010, 2039, 2000, 1037, 4555, 1997, 1002, 3156, 1013, 1574, 29345, 1013, 27813, 8889, 1013, 13509, 7367, 2243, 1999, 3045, 2015, 1012, 2065, 2115, 3045, 2015, 13467, 1002, 3156, 1013, 1574, 29345, 1013, 27813, 8889, 1013, 13509, 7367, 2243, 2017, 2097, 2069, 4374, 1002, 3156, 1013, 1574, 29345, 1013, 27813, 8889, 1013, 13509, 7367, 2243, 1012, 2107, 22718, 2006, 2115, 3045, 2015, 4618, 2025, 6611, 2000, 20119, 6555, 2990, 11008, 3045, 2015, 5173, 2013, 7775, 5029, 1012, 1011, 1996, 2990, 11008, 11580, 2097, 2025, 3623, 2004, 1037, 2765, 1997, 11897, 2869, 2081, 2007, 7775, 5029, 1010, 2489, 23371, 1010, 2489, 13068, 1998, 2990, 11008, 29536, 22368, 2015, 1012, 2069, 11897, 2869, 2007, 2800, 5029, 4618, 3623, 1996, 2990, 11008, 11580, 1012, 1011, 3531, 3602, 1010, 2008, 2065, 2017, 2079, 2025, 8833, 1999, 2000, 2115, 4070, 2005, 1037, 2558, 1997, 3938, 2420, 1010, 2115, 4012, 2361, 2685, 1010, 2065, 2151, 1010, 4618, 2022, 2005, 21156, 2098, 2000, 2149, 2302, 2582, 5060, 1998, 2024, 2025, 25416, 18426, 3468, 1012, 1011, 11897, 2869, 2081, 2011, 2017, 2007, 7775, 5029, 2097, 2025, 4175, 2875, 1996, 20299, 1997, 4012, 2361, 2685, 1012, 2005, 2062, 2592, 2006, 4012, 2361, 2685, 3531, 2156, 2182, 1012, 1011, 1999, 2151, 8094, 3204, 2017, 2089, 2069, 27598, 2039, 2000, 1037, 4555, 1997, 1019, 1010, 2199, 1010, 2199, 1006, 2274, 2454, 1007, 4012, 2361, 2685, 1012, 1999, 1996, 2724, 2008, 1999, 2151, 8094, 3204, 2017, 27598, 2062, 2084, 1019, 1010, 2199, 1010, 2199, 1006, 2274, 2454, 1007, 4012, 2361, 2685, 1010, 2107, 9987, 4012, 2361, 2685, 2097, 2022, 2005, 21156, 2098, 2011, 2017, 1012, 1011, 29563, 11234, 2429, 2000, 1996, 5378, 1006, 6070, 2620, 15671, 5740, 2030, 6070, 2620, 26393, 1007, 1999, 2029, 2027, 2024, 2209, 1998, 2089, 2022, 4379, 2000, 2028, 5378, 2030, 2062, 1012, 1011, 2065, 2017, 2031, 1037, 14223, 4471, 2006, 1996, 4037, 1005, 1055, 5356, 3771, 4953, 2115, 3522, 10355, 4023, 1010, 2057, 3914, 1996, 2157, 2000, 7065, 11045, 2115, 11395, 2000, 5589, 1998, 1013, 2030, 3613, 2000, 5589, 1999, 2151, 4712, 1012, 1999, 2107, 2019, 2724, 1010, 2151, 6781, 1998, 1013, 2030, 2060, 5770, 2029, 2017, 2031, 2363, 1998, 1013, 2030, 2024, 7792, 2000, 4374, 2104, 2151, 2107, 4712, 4618, 2022, 2005, 21156, 2098, 2011, 2017, 1012, 1011, 8819, 15365, 1998, 1996, 2034, 12816, 15365, 3685, 2022, 4117, 2007, 2151, 2060, 2714, 4712, 1012, 1011, 2057, 2089, 10632, 1010, 7065, 11045, 2030, 27950, 2151, 4712, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2489, 7829, 1010, 2489, 5651, 2344, 2085, 2005, 4358, 6959, 2006, 10424, 2072, 1010, 2089, 2676, 1010, 16798, 2475, 26831, 1006, 15563, 1007, 1037, 1024, 2115, 6323, 2097, 2031, 4469, 26831, 1998, 10958, 11692, 3401, 2008, 2097, 4608, 1996, 3239, 2074, 2008, 2210, 2978, 2062, 1012, 6323, 2946, 2050, 1024, 3469, 11719, 2024, 4678, 2099, 1998, 2062, 7070, 1010, 2085, 1998, 2097, 2036, 2022, 1999, 1996, 2925, 1012, 2043, 6195, 1996, 2946, 1010, 2228, 2055, 2054, 2016, 2030, 2115, 2814, 4929, 1998, 2129, 2017, 2052, 2066, 2000, 12826, 1012, 4292, 2050, 1024, 2035, 2256, 2751, 1998, 8899, 7635, 2024, 2149, 25812, 2098, 1012, 16371, 25089, 4832, 2369, 2169, 4031, 1998, 2169, 8875, 2003, 20456, 3188, 2000, 22613, 1012, 16371, 25089, 1005, 1055, 10943, 2100, 4472, 5814, 18419, 2005, 2166, 1011, 1011, 2029, 12980, 2084, 4929, 1998, 7697, 1012, 3531, 2022, 9449, 2008, 2065, 2178, 13713, 2121, 2573, 2006, 2256, 4109, 1010, 2009, 11675, 2015, 1996, 10943, 2100, 2007, 2149, 2004, 2057, 3685, 2022, 3625, 2005, 2178, 13713, 2121, 1005, 1055, 2147, 1012, 2065, 1037, 4292, 2580, 2005, 1037, 8013, 1005, 1055, 4493, 6323, 2030, 20296, 5524, 2003, 2025, 2275, 2011, 16371, 25089, 1010, 1996, 4292, 2003, 2512, 1011, 2709, 3085, 1998, 1996, 10943, 2100, 2003, 11675, 1012, 2065, 2045, 2003, 2412, 2019, 3277, 2007, 2115, 11912, 8875, 2030, 2017, 2342, 1037, 2326, 2025, 3139, 2104, 2256, 6480, 10943, 2100, 1010, 2115, 8875, 2064, 2022, 5653, 2098, 2000, 2149, 2005, 9312, 1998, 24155, 1012, 3531, 3967, 2149, 2065, 2017, 2031, 2151, 3980, 1012, 3967, 2149, 2256, 2149, 6959, 2003, 3435, 1010, 2489, 1010, 12808, 1998, 16021, 12165, 1012, 2057, 2911, 2000, 2035, 2163, 1999, 1996, 1057, 1012, 1055, 1998, 7587, 1012, 2057, 2911, 3081, 7349, 10288, 11585, 1012, 2035, 14555, 2024, 3929, 16021, 12165, 2005, 1996, 3643, 1997, 1996, 8875, 12057, 1998, 5478, 2019, 4639, 8085, 2000, 4374, 1996, 7427, 1012, 7349, 10288, 2907, 5269, 2024, 2036, 2019, 5724, 1998, 5478, 1037, 2433, 1997, 8909, 2588, 8130, 2039, 1012, 2070, 5269, 2089, 5478, 1996, 2224, 1997, 1996, 2149, 4523, 1010, 2107, 2004, 9706, 2080, 11596, 1010, 5834, 2006, 1996, 6635, 3295, 1012, 3531, 3602, 2008, 5167, 4760, 5751, 1997, 4929, 2030, 2216, 2008, 2031, 2042, 2275, 1010, 16328, 1010, 8776, 1010, 24501, 3550, 2011, 1037, 13713, 2121, 2060, 2084, 16371, 25089, 1010, 2030, 5591, 1999, 2151, 2126, 1010, 3685, 2022, 3970, 2005, 2709, 1012, 3037, 2097, 2022, 5338, 2000, 2115, 4070, 2013, 1996, 5309, 3058, 2065, 1996, 5703, 2003, 2025, 3825, 1999, 2440, 2306, 1020, 2706, 1012, 2053, 3037, 2097, 2022, 5338, 2006, 1996, 5309, 2065, 2017, 3477, 2009, 2125, 1999, 2440, 2306, 1020, 2706, 1012, 2065, 2017, 2079, 2025, 1010, 3037, 2097, 2022, 5338, 2006, 1996, 5309, 2013, 1996, 5309, 3058, 2012, 1996, 5309, 19804, 12711, 2000, 2115, 4070, 1012, 1037, 6263, 7058, 7909, 2003, 3223, 1998, 2089, 2030, 2089, 2025, 3477, 2125, 1996, 10319, 5309, 2011, 1996, 2203, 1997, 1996, 1020, 3204, 2558, 1012, 3674, 3584, 11817, 1997, 2625, 2084, 1002, 5585, 2566, 12598, 3685, 2022, 4117, 2000, 3113, 1996, 6263, 5309, 3815, 1012, 6611, 2085, 2012, 16371, 25089, 1010, 14768, 6129, 1996, 3284, 3737, 11719, 2005, 2256, 6304, 2003, 1037, 9470, 1012, 2256, 5281, 2136, 1997, 17070, 16886, 11014, 3565, 26255, 11719, 2005, 2035, 2256, 11912, 1012, 2007, 2149, 1010, 2256, 6304, 2064, 2022, 3056, 2027, 1005, 2128, 19920, 1999, 2119, 1037, 3737, 1998, 2019, 12962, 3538, 1997, 11912, 1012, 2057, 21934, 28250, 1996, 2832, 1997, 9343, 3376, 11912, 1998, 2256, 6304, 2064, 2022, 9657, 2027, 1005, 2128, 19920, 1999, 1996, 3284, 15977, 9062, 6386, 2302, 4012, 25013, 2037, 5166, 1012, 3910, 1010, 16371, 25089, 11719, 7527, 5621, 2081, 2023, 1037, 2028, 1997, 1037, 2785, 3325, 2013, 2707, 2000, 3926, 1010, 2002, 2081, 2469, 1045, 2001, 5161, 2006, 2035, 4127, 1997, 11719, 1998, 6782, 1998, 1996, 3819, 4292, 1010, 2025, 2108, 25227, 2033, 2505, 1012, 3811, 16755, 2023, 2173, 2065, 2017, 1005, 2128, 2559, 2005, 2505, 2007, 11719, 1012, 4067, 2017, 2061, 2172, 2005, 2437, 2023, 1037, 2307, 3325, 999, 9788, 3325, 1010, 2583, 2000, 2131, 1037, 10392, 2559, 2962, 2302, 9846, 2026, 2924, 4070, 1998, 2007, 1037, 3154, 9715, 1012, 2001, 8546, 2083, 1996, 2832, 2011, 10881, 25180, 10895, 1998, 2007, 2307, 2729, 1012, 1996, 2173, 2000, 2175, 2005, 11719, 1999, 3190, 1045, 2428, 2031, 2000, 2022, 10676, 2185, 2007, 2326, 2000, 4339, 1037, 3319, 1998, 1045, 2001, 1012, 7527, 1010, 10881, 1010, 11496, 1010, 1998, 1996, 2878, 2136, 2012, 16371, 25089, 2020, 1037, 6569, 2000, 2147, 2007, 1012, 1045, 2001, 2583, 2000, 2079, 2673, 27046, 1996, 4037, 1998, 2151, 3980, 1045, 2018, 2020, 4660, 2011, 1996, 2136, 3081, 10373, 1012, 2011, 2521, 1996, 2190, 3325, 1045, 1005, 2310, 2018, 2551, 2007, 1037, 13713, 2121, 1012, 16371, 25089, 2003, 6429, 1012, 10881, 2001, 1996, 2190, 16360, 1045, 2071, 2031, 2356, 2005, 2183, 2046, 2023, 1012, 2016, 2134, 1005, 1056, 3778, 2033, 1010, 3271, 2033, 2424, 1996, 3819, 3614, 1998, 2001, 5186, 12367, 8082, 1012, 1996, 2972, 2832, 2001, 2061, 2172, 4569, 2007, 2014, 2393, 1012, 1998, 1045, 12315, 2008, 2016, 2001, 2200, 26438, 2000, 2994, 2306, 5166, 1998, 4531, 1996, 2157, 4906, 1012, 2007, 1996, 6781, 1997, 4209, 2256, 6323, 2003, 4736, 2489, 1010, 1045, 2481, 1005, 1056, 3198, 2005, 1037, 2488, 3325, 1998, 3614, 1012, 4067, 2017, 999, 999, 10881, 1998, 1996, 2878, 2136, 2020, 5186, 14044, 999, 1045, 2001, 3565, 7622, 2007, 1996, 3086, 2000, 6987, 1998, 12276, 2000, 2437, 2033, 3407, 1012, 1045, 1005, 1040, 2042, 2000, 2060, 13713, 2545, 1998, 2371, 25227, 2000, 4965, 1037, 6323, 2008, 2001, 3469, 2084, 1045, 2941, 2734, 1998, 2052, 2031, 2404, 2033, 2648, 2026, 3976, 2846, 1012, 2021, 1010, 2012, 16371, 25089, 1010, 2045, 2001, 1037, 3579, 2006, 4531, 2033, 1996, 2157, 6323, 2000, 4906, 2026, 4493, 2155, 4292, 1998, 2437, 2009, 2107, 2008, 2009, 4906, 2026, 5166, 1012, 5621, 7622, 1998, 2559, 2830, 2000, 4192, 2000, 2131, 2256, 5030, 4996, 999, 4283, 2153, 16371, 25089, 999, 1996, 4989, 1998, 2326, 2020, 5151, 2005, 1037, 2034, 2051, 17070, 17634, 1012, 2204, 1010, 19647, 2495, 1998, 3733, 3945, 3444, 2006, 1996, 4037, 1012, 1996, 5766, 1998, 3910, 2370, 2001, 7714, 7978, 2007, 2033, 2802, 1996, 2972, 2832, 1012, 3811, 16755, 2122, 4364, 1012, 10881, 17850, 17040, 2050, 3024, 6429, 8013, 2326, 999, 1045, 2052, 16755, 2023, 2173, 2000, 3087, 1012, 2025, 2000, 5254, 2008, 2027, 3749, 6845, 1011, 2580, 11719, 1010, 2029, 2003, 2488, 2005, 1996, 4044, 999, 1045, 2018, 1996, 2190, 3325, 13131, 1998, 8147, 3614, 2182, 1012, 2027, 2081, 1996, 9343, 3325, 1037, 2307, 2028, 1012, 1045, 2001, 2025, 25227, 2021, 2612, 5161, 1998, 2371, 2200, 6625, 1012, 1045, 2572, 3458, 8794, 2000, 7527, 1998, 10881, 1012, 2013, 2707, 2000, 3926, 1996, 8013, 2326, 2003, 3347, 3904, 1012, 1045, 2253, 2182, 2241, 2006, 2035, 1996, 2307, 4391, 1998, 2085, 1045, 2215, 2000, 3745, 1996, 2168, 2005, 3087, 2040, 2003, 2559, 2005, 2019, 1037, 1009, 13713, 2121, 1012, 2027, 2628, 2083, 2006, 2673, 2027, 2056, 1012, 3458, 3407, 4067, 2017, 4364, 999, 2027, 2106, 1037, 2307, 3105, 2006, 2256, 8147, 3614, 1012, 10881, 2001, 1037, 4121, 2393, 2076, 1996, 4989, 2832, 1010, 5599, 2033, 2113, 1997, 2536, 7047, 2021, 4821, 2025, 2667, 2000, 5245, 2505, 1012, 2307, 3976, 1998, 2326, 1012, 10881, 2012, 16371, 25089, 2001, 2307, 999, 2057, 2020, 8025, 2055, 2367, 2962, 7047, 2005, 2019, 8147, 3614, 1010, 1998, 2020, 2200, 3407, 2007, 2035, 1996, 2592, 2016, 4207, 2007, 2149, 2055, 1996, 5966, 1998, 12319, 2090, 21846, 1998, 6845, 4961, 11719, 1012, 2016, 2165, 6851, 3964, 2055, 2054, 2057, 2020, 2559, 2005, 1999, 1037, 3614, 1006, 2962, 2946, 1010, 3614, 3430, 1010, 4292, 2828, 1010, 4385, 1012, 1007, 1998, 2004, 2574, 2004, 1037, 2962, 2008, 4906, 2256, 5166, 1998, 9059, 6459, 2001, 2800, 1010, 2016, 2419, 2149, 2083, 1996, 2640, 1998, 13063, 2832, 2007, 2053, 20096, 2030, 2151, 3014, 1997, 1005, 2524, 5271, 1012, 1005, 2027, 5621, 2215, 1996, 8013, 2000, 2203, 2039, 2007, 1037, 4031, 2027, 2293, 1998, 2057, 2020, 2200, 3407, 2007, 2119, 1996, 3325, 1998, 1996, 3614, 1012, 4283, 10881, 1998, 2136, 999, 2057, 3866, 2256, 3325, 2012, 16371, 25089, 1006, 4067, 2017, 1010, 10881, 1007, 999, 2234, 2182, 2000, 4965, 2256, 8147, 3614, 4283, 2000, 1037, 6523, 7941, 2013, 1037, 2767, 1006, 2040, 2001, 2036, 3615, 2011, 1037, 2767, 1012, 1012, 1012, 1007, 2040, 2435, 2023, 3573, 23289, 4391, 1012, 2027, 2024, 3565, 4248, 2000, 6869, 2000, 22028, 1998, 2000, 3437, 2151, 3980, 1998, 2202, 1996, 2051, 2000, 3305, 2054, 2017, 2215, 1999, 1037, 3614, 1012, 2179, 3599, 2054, 2057, 2020, 2559, 2005, 1998, 1045, 2145, 4374, 19394, 2015, 4882, 2055, 2129, 12125, 2135, 1998, 9882, 1996, 3614, 2003, 1012, 2057, 1005, 2128, 2746, 2067, 2000, 4060, 2256, 5030, 7635, 999, 3811, 16755, 2017, 4638, 2023, 2173, 2041, 1011, 2017, 2180, 1005, 1056, 9038, 2009, 1012, 4283, 1010, 16371, 25089, 2136, 999, 1024, 1007, 10392, 3325, 1012, 10881, 2001, 2785, 1010, 6057, 1010, 1998, 5136, 3686, 1012, 2057, 1005, 2128, 2006, 1996, 3920, 2217, 1998, 2025, 2116, 1997, 2256, 2814, 2024, 5117, 2664, 1010, 2021, 2057, 2106, 2025, 2514, 2151, 6151, 5657, 3778, 1012, 1996, 3614, 2993, 2003, 9882, 1998, 2057, 2071, 2025, 2031, 2356, 2005, 2488, 1012, 6581, 4341, 2832, 1012, 10881, 2001, 11757, 14044, 1010, 2183, 2682, 1998, 3458, 1999, 25088, 2033, 2055, 1996, 3688, 2302, 6183, 2505, 1012, 2087, 14780, 1010, 2057, 2288, 1037, 3376, 3614, 1012, 3811, 6749, 999, 6429, 3325, 1012, 10881, 2003, 6429, 1012, 3811, 16755, 1012, 10881, 1998, 3626, 2024, 5151, 1012, 2044, 5873, 2195, 2060, 13713, 2545, 1010, 1045, 2363, 1037, 2261, 11433, 2000, 2272, 2182, 1012, 5580, 1045, 2106, 999, 10881, 2573, 2398, 2006, 2007, 2017, 1998, 3084, 2017, 2514, 6135, 18579, 2802, 1996, 2832, 1012, 2016, 2404, 2033, 2012, 7496, 1998, 3039, 2033, 2000, 2272, 1999, 2195, 2335, 2000, 2131, 3599, 2054, 1045, 2001, 2559, 2005, 1012, 2027, 2428, 2175, 2682, 1998, 3458, 1998, 1045, 2052, 2507, 2068, 2062, 2084, 1019, 3340, 2065, 3039, 1012, 3614, 1012, 2057, 2018, 2359, 1037, 12553, 6323, 1998, 2044, 1045, 2246, 3784, 1998, 1999, 3558, 5324, 2005, 2048, 2706, 1006, 2130, 9343, 1037, 4241, 2094, 3784, 1998, 4192, 2009, 1007, 1010, 1045, 2776, 2179, 16371, 25089, 1012, 2017, 2064, 2156, 1996, 4391, 2024, 6581, 1012, 2043, 2017, 3328, 2046, 2037, 4497, 2027, 2123, 1005, 1056, 2058, 2860, 24546, 2017, 2066, 2070, 2060, 2502, 2171, 5324, 2667, 2000, 3202, 5271, 2017, 2477, 1010, 1998, 2027, 5121, 2123, 1005, 1056, 8568, 2017, 1012, 2027, 2097, 3921, 2017, 1998, 2065, 2017, 2342, 2505, 2027, 2097, 2425, 2017, 2673, 2017, 2342, 2000, 2113, 1012, 11496, 3662, 2033, 2004, 3388, 4871, 1997, 2035, 1996, 11719, 1045, 2359, 2000, 2156, 1010, 2292, 2033, 2298, 2012, 2009, 2007, 2014, 24635, 2015, 2007, 2367, 5445, 1997, 10194, 1006, 1045, 2356, 2000, 2156, 1996, 8909, 2193, 20286, 3031, 1996, 2217, 1997, 1996, 6323, 1010, 2004, 2092, 2004, 2151, 29238, 8496, 1999, 2151, 6323, 1007, 1010, 2175, 2000, 1996, 3332, 1998, 2156, 2129, 2009, 3504, 1999, 1996, 9325, 1998, 2130, 2104, 1996, 4624, 2007, 2053, 2422, 1010, 2016, 2001, 11757, 14044, 1998, 5776, 2007, 2033, 1012, 2016, 2130, 3641, 2062, 11719, 1999, 2026, 3976, 2846, 1998, 15480, 2043, 1045, 2359, 2000, 2156, 2062, 1012, 1045, 2001, 2036, 11757, 4060, 2100, 2007, 1996, 2316, 2008, 2052, 2022, 2109, 1998, 2037, 28353, 2136, 2081, 2672, 1019, 2030, 1020, 4435, 2047, 2316, 5617, 2000, 3046, 1998, 2674, 2054, 1045, 2359, 1012, 2130, 2059, 1010, 2044, 1045, 4900, 1996, 2316, 1998, 2027, 2081, 2009, 1998, 7130, 1996, 6323, 1010, 1045, 2359, 2009, 10426, 1998, 2027, 2165, 2009, 2067, 1998, 2106, 2009, 999, 1045, 2572, 18836, 2008, 1045, 2001, 2583, 2000, 2424, 16371, 25089, 1998, 2031, 11496, 2393, 2033, 2083, 1996, 2972, 2832, 1012, 2500, 2045, 2036, 3253, 2037, 2393, 7188, 2027, 2071, 1012, 1045, 2481, 1005, 1056, 2022, 19366, 2007, 2068, 1012, 3452, 1045, 2052, 16755, 16371, 25089, 2000, 3087, 999, 10881, 3271, 2033, 1998, 2026, 19154, 2131, 1037, 3376, 3614, 1012, 2016, 2939, 2149, 27046, 2035, 1996, 2800, 7047, 1010, 2001, 2659, 3778, 1998, 3039, 2149, 2051, 2000, 2831, 1998, 2228, 1999, 2344, 2000, 2131, 1996, 2190, 3614, 2057, 2071, 2825, 3198, 2005, 1012, 4283, 2153, 10881, 1998, 27211, 4859, 8040, 12054, 2072, 1012, 4149, 2019, 8147, 3614, 2182, 1998, 2428, 2371, 6625, 2007, 1996, 3325, 1012, 2371, 2066, 1045, 2288, 1037, 2307, 3066, 1998, 2018, 1037, 2843, 1997, 7047, 1999, 3408, 1997, 6323, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2057, 1005, 2128, 2467, 2182, 2000, 2393, 999, 2507, 2149, 1037, 2655, 2012, 5511, 8889, 21619, 20842, 2620, 22394, 2030, 11834, 2007, 2028, 1997, 2256, 4505, 2013, 1996, 7216, 1998, 15106, 2006, 2115, 3898, 1012, 2057, 2012, 6218, 5992, 16728, 3073, 1037, 3143, 2326, 1010, 2013, 23658, 2019, 8598, 2291, 2000, 10315, 1012, 2256, 2484, 3178, 5057, 2136, 21312, 2008, 2151, 3291, 2003, 13332, 2855, 1998, 18228, 2061, 2017, 2064, 2031, 2561, 3521, 1997, 2568, 2096, 2057, 2147, 2006, 2115, 2622, 999, 2057, 2024, 2062, 2084, 3407, 6848, 1996, 3791, 2005, 29221, 2828, 2030, 2946, 8598, 3001, 8272, 3105, 2453, 2342, 1011, 2022, 2009, 5647, 3036, 3001, 1999, 2522, 15185, 2100, 2237, 2803, 1010, 2235, 5661, 2007, 4822, 2284, 2105, 2237, 2066, 1996, 16575, 2270, 2160, 2006, 2958, 2395, 2030, 2130, 2312, 4094, 8973, 2107, 2004, 3847, 8707, 2073, 2045, 2071, 9280, 5190, 2588, 4595, 2111, 2542, 2503, 2169, 3375, 1012, 2007, 2058, 2322, 2086, 2007, 1037, 2484, 1011, 3178, 5057, 2193, 1998, 5281, 2136, 1010, 6218, 2003, 2115, 2190, 3601, 2005, 8598, 8272, 1012, 2256, 5661, 2024, 5462, 2000, 12725, 1996, 3808, 1997, 2119, 2017, 1998, 2151, 2060, 2111, 1999, 2115, 2311, 2011, 10723, 20934, 10623, 28695, 2013, 11065, 7070, 7045, 2107, 2004, 7588, 2030, 11912, 5324, 999, 1996, 5197, 3685, 2022, 2104, 9153, 3064, 2043, 2009, 3310, 2091, 10561, 2006, 2129, 2172, 3737, 3860, 2323, 2175, 2046, 2173, 1011, 3967, 2149, 2651, 2061, 2057, 2064, 2393, 2191, 2469, 2008, 2122, 12290, 4995, 1005, 1056, 2893, 2627, 2037, 3457, 8466, 2205, 4089, 4902, 1012, 1000, 2440, 8598, 3001, 2024, 2019, 6581, 2126, 2000, 2562, 2115, 2188, 1010, 2436, 2030, 2311, 5123, 1012, 20934, 10623, 28695, 1998, 22841, 2015, 2467, 2298, 2005, 6695, 2061, 2339, 2507, 2068, 2151, 3382, 2012, 2035, 1029, 2007, 1037, 2440, 1011, 8598, 2291, 5361, 2017, 2064, 3637, 21614, 4209, 2008, 1996, 3808, 1997, 2673, 1999, 2049, 4130, 2097, 2025, 2022, 20419, 2011, 15862, 2040, 2453, 2228, 2027, 1005, 2128, 3647, 2138, 2045, 1005, 1055, 2053, 2028, 2105, 2017, 2064, 6133, 2115, 3200, 2488, 2083, 1996, 2224, 1997, 10507, 9189, 1012, 1996, 6876, 2097, 3499, 2017, 2000, 8080, 2673, 2008, 3632, 2006, 1999, 1998, 2105, 2009, 1010, 2066, 5731, 2030, 5126, 2040, 2453, 2022, 2667, 24391, 4490, 2114, 2049, 11109, 2004, 2092, 2004, 3350, 2065, 2242, 2515, 2175, 3308, 2007, 2151, 4735, 4023, 999, 1996, 2925, 1997, 3036, 2003, 3229, 2491, 3001, 1012, 2122, 7398, 1011, 2301, 11721, 28682, 2404, 2017, 1999, 3715, 1998, 3499, 2069, 2216, 2040, 2342, 2000, 4607, 3056, 7640, 1010, 2096, 10723, 2500, 2013, 5738, 2302, 6656, 2030, 5456, 2011, 13907, 2107, 2004, 8629, 2008, 2501, 2673, 6230, 2503, 2019, 2181, 2073, 2027, 1005, 2128, 5361, 1037, 6276, 3341, 9414, 5576, 2066, 2023, 2028, 2097, 2393, 4047, 2115, 2194, 1005, 1055, 7045, 2061, 2009, 2064, 2175, 2006, 2725, 2449, 2750, 2151, 3019, 7071, 23658, 2019, 22841, 8598, 2003, 1996, 2190, 2126, 2000, 5676, 2008, 2498, 2097, 2886, 2115, 3200, 1010, 1998, 2009, 2036, 7906, 2017, 3647, 2013, 2151, 4022, 22841, 2015, 1012, 2017, 2064, 2175, 2006, 10885, 2007, 3521, 1997, 2568, 4209, 2673, 1999, 2023, 2088, 2038, 2042, 5123, 2011, 2256, 3935, 3036, 2291, 999, 2057, 2024, 2182, 2005, 2017, 2484, 1013, 1021, 1012, 2065, 2115, 8598, 2412, 3632, 2125, 1010, 2074, 2507, 2149, 1037, 2655, 1998, 2057, 1005, 2222, 2202, 2729, 1997, 1996, 3291, 2004, 2574, 2004, 2825, 999, 4047, 4426, 1998, 2115, 3866, 3924, 2007, 1037, 3036, 2291, 1012, 2123, 1005, 1056, 3524, 2127, 2009, 1005, 1055, 2205, 2397, 999, 2009, 2089, 4025, 2066, 2019, 6450, 5724, 1010, 2021, 2017, 1005, 2222, 2022, 3407, 1999, 1996, 2146, 2448, 2043, 2045, 2024, 2053, 2062, 3338, 1011, 16021, 2012, 2305, 2096, 3071, 2842, 2003, 6680, 1011, 2926, 2065, 2027, 9125, 7070, 5167, 2107, 2004, 12191, 2015, 2030, 11912, 8378, 2108, 2579, 2157, 2125, 2037, 15475, 2302, 2061, 2172, 2004, 4911, 2028, 2210, 13774, 2006, 2505, 2412, 2153, 1012, 1012, 1012, 1037, 2843, 2064, 4148, 2090, 2085, 1998, 7665, 2154, 1025, 2070, 2111, 2453, 2130, 2228, 2008, 2122, 2420, 2673, 2003, 2893, 4788, 2612, 1997, 2488, 2138, 2057, 1005, 2128, 2035, 3492, 5204, 2085, 2129, 8211, 4286, 5621, 2013, 1996, 10479, 7424, 2422, 2000, 2256, 6565, 3074, 1997, 7254, 7497, 1010, 2057, 2031, 2017, 3139, 1012, 2007, 6782, 2008, 2421, 2317, 1998, 4367, 1011, 7591, 25548, 2004, 2092, 2004, 2419, 12970, 2005, 16176, 21203, 19350, 2012, 2305, 2030, 2503, 7188, 2734, 1011, 1011, 2256, 2136, 2097, 3073, 3737, 2147, 21530, 1999, 2296, 2126, 10047, 22974, 22966, 999, 2115, 2188, 2003, 1996, 2415, 1997, 2115, 2166, 1012, 2009, 1005, 1055, 2073, 2017, 5247, 2087, 2420, 1010, 1998, 2009, 2323, 2022, 1037, 2173, 2008, 5683, 2066, 7216, 1011, 1011, 2025, 6911, 999, 2007, 2256, 17338, 1011, 5379, 2943, 8114, 4592, 7497, 7300, 1006, 2008, 2036, 2393, 3828, 2006, 17047, 6451, 8236, 1007, 1010, 2025, 2069, 2097, 2477, 2467, 2298, 2204, 1025, 2021, 2027, 1005, 2222, 2514, 2130, 2488, 2205, 1012, 3036, 7497, 2005, 2115, 2188, 2064, 2022, 2019, 3733, 1998, 4621, 2126, 2000, 2191, 2009, 2514, 13726, 1012, 2057, 3749, 2658, 3036, 3001, 2008, 2097, 3073, 2844, 6325, 1997, 1996, 3200, 2007, 1037, 3579, 2006, 2943, 8122, 1010, 2004, 2092, 2004, 4367, 13907, 1999, 2173, 2061, 2017, 2123, 1005, 1056, 2031, 2151, 24554, 2013, 22841, 2015, 2012, 2305, 999, 23658, 5057, 7497, 2003, 6827, 1999, 2151, 2449, 10345, 1012, 2256, 3751, 7066, 16500, 3143, 3001, 2008, 9495, 2043, 2045, 1005, 1055, 2373, 3013, 1010, 12725, 2422, 2005, 2111, 2000, 2424, 2037, 2126, 3251, 2009, 2022, 2349, 1996, 8370, 2030, 2019, 4926, 2066, 8769, 999, 2043, 2009, 3310, 2000, 2115, 5992, 3791, 1010, 2017, 2342, 2619, 2040, 2038, 3325, 1999, 1996, 2492, 1012, 2008, 1005, 1055, 2339, 2057, 1005, 2128, 2182, 2005, 2035, 1997, 2216, 14111, 1998, 10315, 999, 2013, 2019, 10569, 2091, 2157, 2083, 2169, 3357, 2007, 6032, 2147, 2006, 22449, 2030, 2373, 11730, 1011, 2053, 3105, 2003, 2205, 2502, 4496, 2235, 2012, 2256, 2194, 1037, 2334, 2414, 1011, 2241, 3751, 2937, 2097, 3073, 1037, 2898, 2846, 2578, 5527, 3684, 2545, 2024, 1037, 2307, 2126, 2000, 2994, 4010, 2076, 2122, 3147, 3467, 2706, 1010, 2021, 2027, 2064, 2036, 2022, 24026, 1012, 2191, 2469, 2017, 2131, 1996, 2157, 2028, 2005, 2115, 3791, 2007, 2256, 4989, 1997, 5527, 3684, 2121, 2012, 15184, 7597, 999, 2057, 3749, 21586, 2006, 2169, 4031, 2008, 3310, 2083, 2256, 4303, 1011, 2065, 2009, 2987, 1005, 1056, 2147, 2041, 2004, 3740, 2059, 2272, 2067, 2306, 2382, 2420, 1998, 2057, 1005, 2222, 25416, 8630, 2531, 1003, 1997, 2054, 2001, 3825, 2067, 2046, 2115, 4070, 1012, 2065, 2023, 4165, 2066, 2242, 2039, 2115, 8975, 2507, 2149, 2655, 2651, 2061, 2644, 6911, 2075, 2055, 2129, 3147, 2648, 2003, 5527, 3684, 2121, 7597, 8137, 5834, 2006, 1996, 2828, 1010, 2021, 2027, 1005, 2128, 2788, 3465, 1011, 4621, 1012, 5992, 16728, 3715, 2566, 5527, 3684, 2121, 2008, 2003, 2108, 13671, 4606, 2151, 3033, 3223, 2005, 8272, 2030, 17874, 2578, 2029, 2064, 2022, 7303, 2007, 2115, 10197, 2065, 2734, 999, 2005, 3180, 6032, 7879, 2000, 2562, 2068, 2770, 15299, 2012, 4672, 8122, 1011, 2074, 2066, 2019, 3514, 2689, 1999, 3765, 1517, 2017, 1005, 2222, 2215, 2149, 2182, 15933, 2154, 1013, 2305, 2484, 2847, 1021, 2420, 1037, 2733, 2061, 2655, 2085, 2077, 2619, 2842, 2515, 14763, 1037, 2658, 2005, 2115, 5527, 3684, 2121, 7192, 2003, 1996, 2157, 2518, 2000, 2079, 1012, 2065, 2017, 2215, 4010, 2250, 2095, 1011, 2461, 1010, 2059, 2507, 2149, 2655, 1998, 2057, 1521, 2222, 2202, 2729, 1997, 2009, 17306, 2361, 999, 2009, 1005, 1055, 2590, 2008, 2151, 10315, 2024, 2081, 2004, 2574, 2825, 2138, 2187, 14477, 25970, 5732, 2027, 2064, 2468, 2172, 4788, 2058, 2051, 1025, 6218, 4282, 2023, 2488, 2084, 3087, 2842, 1011, 2029, 2339, 2037, 2136, 2467, 8480, 2012, 7846, 1005, 3295, 2855, 2007, 2035, 4072, 5906, 1999, 15805, 2061, 2045, 3475, 1005, 10722, 11818, 2342, 2005, 6634, 6023, 2105, 2006, 4234, 6574, 2851, 2043, 1996, 5527, 3684, 2121, 6762, 2551, 1010, 2009, 1521, 1055, 2051, 2005, 1037, 6110, 999, 2017, 2064, 2655, 2149, 2030, 3942, 2256, 4037, 2000, 2424, 2041, 2062, 2055, 2129, 2017, 2064, 2131, 1999, 3543, 2007, 2028, 1997, 2256, 5379, 8390, 1012, 1996, 10808, 5783, 1997, 1996, 5527, 3684, 2121, 2089, 2031, 10676, 1010, 2061, 2009, 1005, 1055, 2590, 2025, 2000, 3046, 15887, 2023, 4426, 1012, 2065, 2017, 2342, 2393, 2007, 2151, 2060, 3277, 3531, 2123, 1005, 1056, 16390, 1999, 2893, 2067, 2006, 2655, 2030, 3967, 2075, 2149, 2005, 5375, 999, 1996, 5527, 3684, 2121, 4972, 2011, 16401, 6451, 2046, 3684, 1010, 2029, 2003, 2059, 11860, 2083, 1996, 4722, 12432, 2000, 4010, 2039, 2151, 2282, 2503, 1012, 1996, 5527, 3684, 2121, 2003, 1037, 2307, 2126, 2000, 3828, 2769, 2006, 2115, 2943, 3021, 1012, 2017, 2064, 2491, 2043, 1998, 2129, 2172, 3684, 2009, 7085, 1010, 2061, 2065, 2017, 1005, 2128, 2025, 2478, 1996, 2282, 2059, 2735, 2125, 2008, 2422, 999, 2054, 2428, 2035, 5527, 3684, 2545, 2079, 2000, 4044, 1029, 11721, 28682, 2008, 3573, 3684, 1010, 2147, 2076, 1996, 2305, 2043, 2009, 2038, 2438, 2943, 8250, 1999, 2049, 10274, 2000, 4010, 2115, 2282, 2012, 3649, 2051, 2017, 2215, 1011, 2023, 2003, 2028, 1997, 2069, 1037, 9210, 3232, 11721, 28682, 2006, 3011, 1012, 2004, 4941, 2373, 6165, 2024, 2625, 6450, 2012, 2008, 2391, 2043, 2027, 2404, 26351, 2098, 2007, 2019, 3751, 8768, 2005, 4555, 8251, 3659, 18030, 2408, 2035, 2752, 1996, 2047, 1010, 2062, 2783, 16676, 4107, 2070, 3278, 6666, 1012, 2027, 2123, 1005, 1056, 3573, 3684, 2005, 1996, 9367, 1997, 2154, 1999, 2422, 2065, 2028, 8050, 3277, 1025, 2017, 2064, 2735, 2125, 2214, 4518, 8197, 2989, 16676, 2015, 1998, 2027, 1005, 2128, 2382, 1011, 2871, 1003, 2625, 6450, 2084, 3671, 10958, 9032, 6591, 2750, 2108, 2062, 8114, 2012, 10808, 2115, 2686, 999, 1996, 2364, 3465, 3378, 2007, 2068, 2024, 2037, 10318, 11727, 2021, 2122, 2411, 16114, 3209, 2043, 4102, 2114, 2060, 7047, 2066, 11737, 19386, 4275, 2029, 5478, 2305, 6165, 1006, 2029, 2089, 3623, 5901, 1007, 1012, 2339, 2009, 2003, 3223, 2000, 2326, 2035, 5527, 3684, 2121, 1029, 2004, 2590, 2004, 9361, 2115, 2482, 1005, 1055, 3194, 1010, 22858, 5527, 3684, 2545, 2064, 2507, 2017, 3521, 1997, 2568, 1012, 2008, 2003, 2339, 2057, 3749, 2658, 1998, 15184, 2578, 2000, 2191, 2469, 2008, 2673, 2055, 1996, 5080, 4972, 7919, 1011, 2013, 20077, 2049, 27930, 2030, 1996, 10867, 28696, 3215, 2005, 10697, 1999, 12285, 1012, 2057, 1005, 2222, 2036, 3073, 7300, 2061, 2045, 2180, 1005, 1056, 2022, 2151, 3471, 2043, 2009, 3310, 2051, 2709, 2023, 6827, 10439, 15204, 3401, 2067, 2046, 2224, 999, 2003, 1996, 5527, 3684, 2121, 14163, 12680, 6451, 2154, 2051, 1029, 1996, 3684, 2121, 2987, 1005, 1056, 2224, 6451, 2076, 1996, 2154, 1010, 2021, 2009, 2515, 3965, 3684, 1998, 2713, 2008, 2046, 2115, 2188, 2012, 2305, 1012, 2079, 2017, 2215, 1037, 5527, 3684, 2121, 6418, 7427, 1029, 2065, 2017, 2024, 3110, 3147, 1999, 2115, 2188, 2030, 2436, 1010, 2655, 6218, 999, 2123, 1005, 1056, 3524, 2127, 2009, 1005, 1055, 2205, 2397, 1012, 2256, 2136, 2003, 2182, 2484, 2847, 1037, 2154, 1998, 2097, 2022, 2583, 2000, 2393, 2004, 2574, 2004, 2825, 2007, 2151, 10808, 3314, 2008, 13368, 2005, 2035, 4127, 1997, 3121, 2164, 8102, 2015, 1011, 2029, 2064, 2191, 2068, 3697, 8146, 2138, 2045, 2089, 2025, 2467, 4025, 2066, 2019, 5793, 5576, 2012, 2034, 6054, 2339, 2323, 1045, 5136, 2000, 2128, 20357, 2026, 2188, 1029, 2043, 2017, 1005, 2128, 2559, 2000, 5335, 2115, 2188, 2030, 3200, 1005, 1055, 27930, 1010, 2009, 2003, 2590, 2008, 1996, 2157, 4084, 2024, 2579, 1999, 2344, 2025, 2069, 5441, 3808, 2021, 2036, 3623, 2049, 3643, 1012, 3974, 5992, 2578, 2064, 2022, 29172, 2005, 2119, 20749, 1998, 3915, 8553, 1997, 1037, 2686, 2061, 5136, 2122, 3314, 2077, 2437, 2151, 6567, 2055, 2054, 2828, 1997, 10525, 2147, 3791, 2589, 999, 2017, 2064, 4652, 2116, 3471, 2011, 2128, 9148, 4892, 2115, 3200, 2077, 2017, 2693, 1999, 1012, 2017, 1005, 2222, 2342, 2019, 3751, 2937, 2040, 2003, 3716, 3085, 2055, 2129, 2000, 2079, 2023, 1010, 2021, 2009, 1005, 1055, 2092, 4276, 1996, 10961, 2144, 2027, 2097, 2036, 2031, 8491, 15314, 2076, 2037, 2147, 999, 1996, 3465, 1997, 2128, 9148, 4892, 1037, 3200, 2064, 8137, 5834, 2006, 1996, 3091, 1998, 11619, 1012, 2017, 2089, 5454, 2000, 2031, 2115, 6451, 6310, 2030, 5361, 1010, 2021, 2065, 2017, 2024, 9278, 2075, 2059, 2023, 2097, 5587, 2178, 10961, 2008, 3791, 9584, 2077, 3048, 1999, 2007, 2053, 5060, 2013, 18196, 2015, 2040, 2031, 2525, 11241, 2051, 2046, 4531, 2047, 14665, 1012, 2096 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2489, 2013, 3571, 1024, 1996, 5234, 1998, 1996, 2958, 2065, 2017, 2356, 2033, 1037, 3232, 1997, 2086, 3283, 2065, 1045, 2052, 5136, 2870, 1037, 9191, 1998, 22518, 2711, 1010, 1045, 2052, 2360, 1045, 7078, 2001, 2004, 1037, 2775, 1012, 2053, 3160, 2055, 2009, 1012, 1045, 2001, 2004, 22518, 1998, 26103, 2004, 2412, 1037, 2210, 2611, 2071, 2022, 1012, 1045, 2071, 2425, 2017, 2466, 2044, 2466, 1997, 2026, 7357, 1006, 2788, 2008, 2920, 1037, 6203, 3899, 2030, 3586, 2004, 2026, 29240, 1007, 1012, 2043, 1045, 2001, 2210, 1010, 1045, 2018, 1037, 8403, 10025, 2282, 1998, 2043, 2009, 2001, 2601, 1045, 2052, 2202, 2026, 1000, 5745, 3282, 1000, 1998, 19815, 2105, 1996, 28667, 2282, 12097, 2000, 5607, 11277, 1012, 1045, 2001, 2025, 4452, 1997, 1996, 2601, 2012, 2035, 1012, 2012, 2176, 2086, 2214, 1010, 2026, 14472, 2165, 2033, 2000, 1996, 10389, 6965, 2688, 1006, 7929, 1010, 2009, 2001, 3439, 1998, 2027, 2020, 4086, 8135, 2061, 1045, 2507, 2068, 4519, 1007, 2096, 2057, 2020, 5873, 4404, 1012, 2076, 1996, 2778, 1010, 2019, 14073, 2356, 1996, 2312, 2177, 2065, 3087, 2001, 4452, 1997, 12566, 1998, 1045, 7581, 2041, 1000, 1045, 1005, 1049, 2025, 4452, 1997, 12566, 1000, 1012, 2138, 1045, 2347, 1005, 1056, 1012, 1045, 2001, 9191, 6440, 1010, 7945, 1997, 5194, 1999, 1996, 18096, 4020, 1998, 2105, 1996, 11918, 2015, 1999, 5279, 1012, 1045, 16849, 5973, 1010, 5598, 2125, 13333, 1010, 1998, 8301, 2098, 2302, 1037, 2729, 1999, 1996, 2088, 1012, 2021, 2242, 3047, 2004, 1045, 2288, 3080, 2008, 2081, 2033, 22802, 2067, 1998, 4088, 20253, 2673, 1011, 1045, 2001, 29026, 2011, 1037, 4382, 1997, 3571, 1012, 2065, 2017, 2031, 2412, 2042, 2000, 3956, 1010, 2017, 2763, 4716, 1996, 2103, 1997, 2585, 1012, 2009, 2003, 2061, 9379, 1998, 2107, 2019, 23005, 8813, 1012, 2006, 1037, 3942, 1037, 2261, 2086, 3283, 1010, 2026, 3129, 1998, 1045, 2787, 2000, 3328, 2002, 24506, 12215, 1005, 1055, 5234, 1012, 2009, 2003, 2200, 3439, 1998, 2144, 2057, 2020, 2045, 1999, 3054, 1011, 2251, 2057, 2245, 2009, 2052, 2022, 4569, 2000, 2131, 4954, 1012, 2004, 2057, 2939, 2091, 1996, 4130, 2000, 2073, 1996, 21025, 8747, 3500, 19739, 10623, 4244, 1998, 18545, 1998, 2059, 17144, 2046, 1037, 2601, 7120, 1010, 1045, 3402, 2371, 6091, 1012, 2059, 2043, 1037, 2269, 1998, 2010, 2775, 2253, 2006, 3805, 1998, 1996, 2775, 2001, 7491, 1006, 2005, 4569, 2030, 3571, 1045, 2123, 1005, 1056, 2113, 1007, 2026, 2428, 22518, 3129, 5598, 1999, 1998, 2318, 2000, 10436, 2046, 1996, 7120, 1012, 2034, 1010, 1996, 2300, 2003, 3256, 3147, 1012, 2009, 2003, 2013, 1037, 3019, 1998, 3418, 3500, 1998, 2001, 7078, 12809, 1012, 2117, 1010, 1996, 2775, 2040, 2001, 7491, 1010, 2003, 2145, 7491, 2069, 2085, 1996, 11652, 2024, 17142, 2013, 2813, 2000, 2813, 1998, 2024, 10989, 2084, 1996, 2614, 1997, 1996, 2300, 1012, 1045, 2001, 2667, 2000, 2562, 2039, 2007, 2026, 3129, 1998, 2009, 2001, 2601, 1012, 2471, 3294, 2601, 1010, 22766, 1006, 2009, 2003, 1037, 5234, 1998, 3492, 4867, 1007, 1010, 1996, 10424, 8004, 3593, 2300, 2003, 4803, 1006, 2085, 2009, 2001, 2471, 3054, 1011, 19134, 1007, 1998, 2026, 15257, 2052, 2025, 2147, 1012, 2061, 2017, 2113, 2054, 1010, 1045, 2357, 2067, 1012, 2748, 1010, 1045, 2074, 2071, 2025, 2202, 1996, 7491, 2775, 1010, 4867, 5234, 1010, 4803, 10162, 2300, 1998, 1996, 2601, 1012, 1045, 2074, 2106, 2025, 2031, 1996, 8424, 2000, 2079, 2054, 2130, 2336, 2079, 1006, 2008, 1005, 2222, 25250, 1007, 1012, 2026, 6203, 3129, 2001, 2200, 24665, 20113, 1998, 2057, 3092, 2039, 3788, 2105, 1996, 2300, 3444, 2000, 8849, 2178, 4318, 6019, 2126, 1998, 2018, 1996, 2972, 2181, 2000, 9731, 1012, 2009, 2001, 2145, 1037, 2307, 2051, 2021, 2008, 2617, 2234, 2067, 2105, 2074, 1037, 3232, 3134, 3283, 1012, 2025, 2035, 3571, 2003, 2919, 1012, 2643, 27159, 2098, 1999, 2256, 27952, 1996, 3754, 2000, 6807, 7965, 3571, 1025, 2066, 2893, 2205, 2485, 2000, 1996, 3341, 1997, 1037, 7656, 1010, 2030, 3061, 1999, 2392, 1997, 2019, 2006, 18935, 3345, 1012, 2057, 2323, 2036, 2031, 1996, 3571, 1011, 2029, 2003, 2941, 2019, 6387, 3932, 1998, 7065, 20935, 1011, 1997, 2643, 1012, 2021, 2008, 1005, 1055, 2025, 1996, 2168, 2004, 12459, 1010, 2166, 1011, 9756, 1998, 2130, 11498, 2135, 6774, 3571, 1012, 2043, 1045, 2150, 1037, 3566, 1010, 1045, 3651, 2008, 1045, 2001, 2085, 3625, 2005, 2178, 2166, 1025, 1037, 9062, 2529, 2108, 17292, 4498, 2006, 2033, 1012, 2012, 1996, 2051, 1006, 2423, 2086, 3283, 1007, 1010, 1045, 2001, 1037, 3336, 3017, 2007, 2053, 5024, 4252, 1010, 2053, 3716, 1997, 2129, 2000, 2954, 1996, 6548, 1998, 2061, 2210, 2011, 2210, 1996, 4099, 2211, 2635, 2598, 1012, 1045, 2150, 4452, 2000, 4875, 2006, 24042, 1006, 1045, 2106, 2009, 1010, 2021, 1045, 1005, 1049, 2469, 2026, 8187, 2001, 1999, 4906, 16313, 4003, 3695, 4224, 2802, 1996, 3462, 1007, 1010, 4452, 1997, 2482, 13436, 1010, 4452, 2242, 2052, 4148, 2000, 2026, 2336, 1012, 1045, 2052, 3499, 9647, 2015, 1997, 2054, 2001, 2055, 2000, 4148, 1006, 1037, 2482, 5823, 1010, 2026, 3586, 29059, 2125, 1996, 2217, 1997, 1037, 4446, 1010, 2026, 2336, 2108, 2439, 1007, 2000, 2566, 4168, 3686, 2026, 4301, 1998, 2023, 2776, 2719, 16910, 1997, 2129, 2026, 2568, 2211, 2000, 5452, 1012, 2009, 2001, 21741, 2075, 1998, 3303, 10089, 1998, 6911, 2784, 2503, 2026, 2166, 1012, 2009, 2003, 2428, 6429, 2129, 2057, 2064, 3853, 1010, 2130, 3811, 3853, 1010, 2007, 4487, 22747, 4609, 7542, 1999, 2256, 3268, 1012, 1045, 2572, 1037, 4382, 1011, 3561, 3017, 1998, 2664, 2784, 2091, 1045, 6915, 2007, 3571, 1012, 1045, 4342, 2210, 2477, 2058, 1996, 2086, 2008, 2435, 2033, 2070, 3377, 1010, 2018, 2398, 4201, 2006, 2033, 1010, 3191, 1998, 3373, 2008, 1045, 2071, 2022, 2489, 2013, 3571, 1010, 2021, 2009, 2347, 1005, 1056, 2127, 1045, 3191, 2023, 2028, 7893, 2008, 1045, 3651, 1045, 2071, 2022, 2489, 1024, 1000, 1045, 2572, 2002, 2040, 3268, 1010, 1998, 2001, 2757, 1010, 1998, 27541, 1010, 1045, 2572, 4142, 5091, 5974, 1012, 2572, 2368, 1012, 1998, 1045, 2907, 1996, 6309, 1997, 2331, 1998, 3109, 1012, 1000, 1006, 7065, 1012, 1015, 1024, 2324, 1007, 4441, 1010, 2025, 1996, 4099, 1010, 2001, 1996, 2028, 2040, 2018, 2491, 2058, 2026, 3969, 1012, 1045, 6272, 2000, 2032, 1998, 1996, 4099, 2071, 2025, 2491, 1010, 17708, 1010, 12665, 2030, 3102, 2033, 1006, 3272, 2011, 2026, 2219, 19732, 1998, 27988, 1007, 2138, 4441, 2038, 1996, 6309, 1012, 2026, 3571, 1997, 2331, 2211, 2000, 11737, 5498, 4095, 1012, 1996, 2773, 1997, 2643, 2003, 2542, 1998, 3161, 1998, 2009, 2001, 4142, 1998, 4248, 6675, 2000, 2033, 1012, 2059, 1045, 3191, 1025, 1000, 2021, 2000, 1996, 16592, 2135, 1998, 4895, 8671, 25587, 1998, 11113, 20936, 22966, 1998, 28882, 1998, 12581, 10047, 22049, 1998, 23324, 2015, 1998, 10282, 24932, 2015, 1998, 2035, 16374, 2015, 1012, 2037, 2173, 2097, 2022, 1999, 1996, 2697, 2008, 7641, 2007, 2543, 1998, 17864, 1012, 2023, 2003, 1996, 2117, 2331, 1012, 1000, 1006, 11449, 2538, 1024, 1022, 1007, 1996, 16592, 2135, 1012, 1996, 3306, 2773, 2003, 14866, 10483, 1998, 2003, 2019, 24931, 3574, 5199, 3593, 2030, 19725, 1012, 2009, 1005, 1055, 1996, 2168, 2773, 2109, 1999, 2928, 1022, 1024, 2656, 2043, 4441, 2356, 1996, 17102, 2339, 2027, 2020, 19725, 2349, 2000, 1996, 4040, 1006, 1998, 1996, 4040, 2001, 2025, 2074, 1037, 3180, 4040, 1010, 1996, 2773, 2109, 7127, 2019, 8372, 1010, 5513, 1010, 6659, 4040, 1007, 1012, 1996, 3571, 1045, 2018, 2001, 2025, 2069, 4487, 13102, 19738, 7741, 2000, 2643, 1010, 2009, 2001, 1037, 8254, 1012, 1998, 2108, 4452, 2001, 3205, 2034, 2426, 2054, 2057, 2052, 26268, 2004, 1996, 1000, 2502, 15516, 1000, 1012, 4352, 3571, 2000, 2491, 2026, 2166, 1998, 4487, 25572, 2618, 2026, 4506, 2030, 27118, 22014, 2001, 10043, 2000, 1996, 2773, 1997, 2643, 1998, 1037, 4795, 8254, 1012, 2074, 1037, 3232, 1997, 3134, 3283, 1010, 2006, 2256, 2126, 2067, 2000, 8124, 1010, 2026, 3129, 1998, 1045, 3030, 2012, 1996, 11820, 2958, 2074, 2648, 1997, 19533, 1012, 2057, 2018, 2196, 2042, 2077, 1998, 2348, 1045, 2031, 2042, 2006, 2116, 11820, 7346, 1999, 2026, 2166, 1010, 2023, 2028, 2001, 3391, 14726, 1012, 2017, 3328, 2055, 1037, 2431, 3542, 2091, 1037, 3492, 4446, 1010, 2058, 1996, 3345, 3162, 2006, 1037, 5509, 19467, 1998, 2059, 2812, 4063, 2091, 2000, 1996, 8375, 1010, 3712, 1011, 2630, 12849, 12184, 26416, 2314, 1012, 1996, 11820, 2958, 2428, 2515, 2785, 1997, 7370, 1010, 1998, 2348, 2009, 3504, 2200, 5851, 2009, 2003, 6731, 2152, 2682, 1996, 2314, 2073, 1996, 2300, 11950, 2015, 1998, 1996, 7266, 2729, 2368, 2083, 1996, 8399, 1012, 2034, 1010, 2026, 3129, 1998, 3899, 2707, 3788, 2408, 1996, 2958, 1012, 1045, 2074, 2165, 4620, 1998, 1037, 2678, 2138, 2026, 6203, 3899, 2659, 1011, 12425, 1996, 3091, 1998, 2009, 2001, 3492, 6057, 1012, 2002, 2001, 2200, 9191, 1998, 1045, 2001, 7622, 1012, 2021, 2043, 2009, 2001, 2026, 2735, 1010, 2242, 3047, 1012, 1996, 2958, 2318, 2000, 7370, 2349, 2000, 2256, 3788, 1998, 11211, 2007, 1996, 3612, 1998, 2300, 1045, 2371, 1996, 2168, 3571, 2004, 1045, 2106, 1999, 2002, 24506, 12215, 1005, 1055, 5234, 1012, 1045, 2074, 2064, 1005, 1056, 1998, 2339, 2323, 1045, 1029, 12873, 2958, 1010, 2040, 2428, 14977, 2065, 1045, 2892, 2009, 1012, 2061, 1045, 2134, 1005, 1056, 1012, 1045, 2074, 2939, 2067, 1998, 4741, 2005, 2026, 3129, 1012, 2043, 2002, 2234, 2067, 2002, 2056, 2242, 1045, 2134, 1005, 1056, 5987, 1025, 1000, 2061, 1010, 2017, 1005, 2128, 2025, 2183, 2000, 2892, 2009, 1029, 2066, 2002, 24506, 12215, 1005, 1055, 5234, 1029, 1000, 2085, 2002, 2347, 1005, 1056, 2012, 2035, 2108, 2812, 2030, 29442, 1010, 1045, 2428, 2228, 2009, 2001, 1996, 2935, 4092, 2083, 2032, 2138, 2242, 2718, 2026, 4382, 1998, 1045, 2056, 1025, 1000, 2017, 1005, 2128, 2157, 1012, 2053, 1010, 1045, 2572, 2183, 2408, 1012, 1000, 2061, 1045, 2106, 1012, 1045, 2939, 2035, 1996, 2126, 2408, 1998, 2067, 1006, 2130, 7458, 2000, 2298, 2091, 1037, 2261, 2335, 1007, 2021, 1996, 3595, 2000, 1996, 16534, 2001, 1996, 4151, 4382, 1998, 2773, 1997, 2643, 2306, 2033, 1012, 1996, 2878, 2126, 2408, 1998, 2067, 1996, 2616, 1997, 2026, 2935, 2234, 2039, 2013, 2026, 2540, 1998, 2046, 2026, 2677, 1000, 7188, 1045, 2572, 4452, 1010, 1045, 2097, 3404, 1999, 2017, 1012, 1999, 2643, 1006, 1045, 2097, 8489, 2010, 2773, 1007, 1010, 1999, 2643, 1045, 2031, 2404, 2026, 3404, 1010, 1045, 2097, 2025, 3571, 1012, 1012, 1012, 1000, 1006, 22728, 5179, 1024, 1017, 1011, 1018, 1007, 1998, 2096, 2009, 2347, 1005, 1056, 9352, 22249, 1010, 1996, 4151, 4382, 2165, 2026, 6259, 2398, 1998, 2939, 2033, 2013, 2028, 2217, 2000, 1996, 2060, 1997, 2008, 2958, 3038, 2000, 2026, 2540, 1010, 1000, 1045, 2572, 2007, 2017, 1012, 1000, 1006, 25436, 2654, 1024, 2322, 1007, 1000, 1045, 4872, 2017, 1045, 2097, 2562, 2017, 2013, 2035, 4763, 1012, 1000, 1006, 22728, 12606, 1024, 1021, 1007, 1000, 1045, 2097, 2025, 3499, 2115, 3329, 2000, 21811, 1998, 2097, 2467, 2031, 1996, 7048, 3666, 2058, 2017, 1012, 1000, 1006, 22728, 6205, 1024, 2340, 1011, 2260, 1007, 2045, 3310, 1037, 2391, 1999, 2166, 2043, 1999, 2344, 2000, 2689, 1010, 2057, 2031, 2000, 5223, 2054, 2003, 21741, 2075, 2149, 1011, 2057, 2031, 2000, 5223, 2256, 8254, 2919, 2438, 2008, 2057, 2097, 2191, 1996, 3947, 2000, 2468, 2489, 1012, 1996, 4151, 4382, 3310, 4077, 1997, 2149, 1998, 7126, 2149, 1025, 1996, 5025, 3306, 2773, 11498, 19099, 13122, 7127, 2028, 2040, 4152, 1999, 1037, 14033, 2007, 2619, 2000, 2393, 2068, 2041, 1012, 2023, 2003, 2074, 1996, 2393, 2121, 2057, 2342, 999, 2002, 7126, 2149, 2011, 2893, 1999, 2256, 6752, 2007, 2149, 1010, 4252, 1010, 16334, 1010, 1998, 2877, 2149, 2046, 2035, 3606, 1012, 2034, 1010, 1045, 4339, 2091, 2010, 2616, 1998, 5672, 1996, 26028, 2000, 2022, 3167, 2005, 2033, 1998, 2059, 1045, 24443, 25709, 2972, 26130, 1998, 22481, 1998, 13520, 2068, 2058, 2870, 1012, 2057, 2442, 13520, 2041, 5189, 1996, 3606, 1997, 2054, 2643, 2758, 2055, 2149, 2058, 9731, 2061, 2256, 3969, 1998, 4382, 2064, 2963, 2009, 1012, 2279, 1010, 1045, 8385, 3459, 2091, 2035, 9647, 2015, 2008, 3046, 1998, 3769, 2046, 2026, 2568, 1012, 1045, 13520, 2041, 5189, 1000, 1045, 2202, 2296, 2245, 12481, 1998, 2191, 2009, 15578, 10265, 3372, 2000, 4828, 1000, 1012, 1006, 1016, 27108, 18447, 2232, 1012, 2184, 1024, 1019, 1007, 1045, 2079, 2023, 2058, 1998, 2058, 1998, 2058, 2004, 2026, 2568, 2003, 2108, 9100, 1998, 8871, 1012, 2057, 2036, 2342, 2256, 2814, 1998, 2155, 1006, 2026, 6135, 9191, 1010, 2025, 1011, 4452, 1011, 1997, 1011, 2505, 5394, 1010, 2510, 3129, 1007, 2000, 4060, 2149, 2039, 1998, 8627, 2149, 2000, 2022, 9191, 1012, 1006, 2030, 2004, 2028, 1997, 2026, 4268, 2758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 18740, 2208, 3160, 18740, 2208, 3160, 11662, 1010, 7350, 6363, 10453, 3698, 2023, 4664, 1997, 2256, 5009, 2097, 3579, 2006, 2248, 3784, 11662, 4573, 2008, 5138, 1996, 11562, 1998, 4965, 12816, 4118, 1010, 18740, 2208, 3160, 1012, 4728, 1010, 8114, 1998, 2659, 1011, 3145, 2965, 1997, 23820, 2769, 2038, 2081, 2009, 1037, 2718, 2426, 2119, 3784, 6655, 6591, 1998, 9224, 6224, 4359, 9883, 1012, 3295, 1024, 3309, 9568, 2408, 2013, 1996, 2392, 4624, 1010, 3522, 10453, 6681, 2896, 3715, 5963, 3891, 1998, 1037, 2126, 2105, 8027, 7909, 3001, 1012, 2004, 2092, 2004, 2006, 2417, 2030, 2242, 2842, 1010, 2002, 2056, 1012, 28681, 2080, 8840, 10861, 26785, 2229, 6590, 5292, 17119, 9686, 16021, 9080, 2906, 3449, 7861, 7068, 7983, 2139, 9706, 19341, 10446, 2229, 2053, 2595, 1051, 5132, 2696, 3600, 4372, 10722, 22228, 1010, 18740, 2208, 3160, 1012, 2074, 3696, 2039, 2012, 1996, 9270, 3784, 1010, 20410, 2115, 4767, 1010, 1998, 3696, 1999, 2000, 1996, 4773, 9445, 2000, 2156, 1037, 12183, 1997, 2399, 2800, 1012, 2017, 3363, 2215, 1037, 3522, 2544, 1997, 2028, 1997, 1996, 2502, 2171, 16602, 2015, 2066, 2543, 14876, 2595, 1010, 18546, 1010, 2030, 23591, 2005, 3808, 1998, 9211, 1012, 2377, 2023, 1019, 15934, 1010, 1023, 3477, 4179, 6555, 10453, 2085, 1010, 18740, 2208, 3160, 1012, 11113, 4315, 9413, 16173, 11867, 9257, 15532, 3207, 14161, 10224, 9033, 2063, 1999, 8289, 6633, 14863, 10111, 13094, 16216, 10105, 2638, 9413, 8865, 6528, 6151, 6781, 15532, 4181, 17151, 4877, 2368, 1012, 2662, 10453, 3698, 9270, 12219, 1999, 12609, 1012, 1019, 22172, 2229, 2990, 11008, 9270, 25216, 2065, 2115, 2166, 2001, 2019, 7861, 29147, 2072, 1010, 2029, 2052, 2009, 2022, 1029, 1087, 2054, 2003, 2115, 5440, 2338, 1029, 1087, 2054, 2003, 2028, 2518, 1012, 1037, 8403, 2981, 4023, 2073, 1996, 11136, 9372, 2048, 18740, 1998, 2059, 9909, 2068, 2039, 1006, 2978, 1997, 8785, 2015, 2045, 1007, 1998, 2027, 2064, 2059, 3437, 1996, 3160, 2007, 2074, 1037, 1012, 1517, 1999, 2035, 1996, 2060, 14320, 4339, 3980, 8800, 2000, 1037, 8476, 1024, 4176, 1010, 4234, 1010, 2740, 1998, 10516, 1012, 2507, 2169, 2136, 1037, 2604, 1998, 2048, 18740, 1998, 1012, 2423, 2003, 1996, 1005, 4189, 3643, 1005, 2029, 2000, 2033, 2965, 1996, 3643, 2029, 1010, 2065, 2445, 2004, 1996, 3437, 1010, 11276, 2000, 8246, 1996, 4018, 1012, 1996, 3160, 2356, 1000, 2054, 2052, 1012, 2093, 2814, 1037, 1010, 1038, 1998, 1039, 2024, 2652, 1037, 18740, 2208, 1012, 9381, 1027, 1000, 3770, 1003, 1000, 1028, 1026, 7987, 1028, 2241, 2006, 1996, 2682, 2592, 1010, 3437, 1996, 2206, 3980, 1012, 4357, 3160, 2005, 2951, 7155, 1999, 2273, 4135, 2380, 1010, 6187, 1012, 2045, 1005, 1055, 1037, 2208, 2073, 2017, 2024, 2445, 2048, 4189, 2416, 1011, 11536, 18740, 1998, 2356, 2000, 4897, 1012, 1517, 2054, 3980, 2005, 1037, 18740, 2208, 1012, 4897, 2048, 18740, 1998, 4638, 2040, 6998, 2009, 1010, 2017, 2030, 2115, 4256, 1012, 2881, 2000, 12913, 10739, 3980, 1012, 3160, 18740, 2208, 1024, 4009, 14981, 1999, 2169, 2675, 2000, 5050, 1996, 3616, 2006, 1037, 18740, 1012, 2043, 1996, 3076, 9372, 1996, 1996, 18740, 1055, 1013, 2002, 2442, 3198, 1037, 3160, 7978, 1012, 11562, 1996, 2034, 3898, 2000, 4897, 1996, 18740, 1010, 2320, 1996, 18740, 2038, 3030, 5291, 11562, 1996, 4613, 11957, 2000, 2202, 2017, 2000, 1996, 3160, 3931, 1012, 2603, 1191, 10260, 17432, 25682, 1183, 1012, 1517, 2106, 15223, 4558, 4426, 2034, 2030, 2033, 1029, 1524, 2356, 2852, 4887, 15455, 2072, 2000, 2014, 3129, 9805, 19114, 4095, 15222, 2527, 1999, 1996, 13970, 6820, 11200, 1006, 2548, 2457, 1007, 1012, 2009, 2001, 1037, 20625, 3663, 1516, 1012, 1517, 7592, 1998, 4067, 2017, 2005, 2115, 3160, 1012, 2009, 2052, 2022, 2026, 5165, 2000, 6509, 2017, 2007, 2023, 1012, 1045, 2097, 3967, 2017, 2320, 2023, 2003, 3143, 2058, 2023, 2051, 1010, 2009, 2038, 2580, 1037, 4989, 1997, 20551, 19832, 1010, 2164, 6420, 6323, 1010, 18740, 2208, 3160, 1012, 8398, 2009, 2304, 17364, 2005, 2613, 2769, 2025, 2000, 2058, 10288, 6528, 2094, 2115, 2240, 1997, 6735, 1012, 2079, 2009, 1998, 2131, 6429, 19054, 1010, 7867, 9270, 3784, 2007, 2613, 2769, 3319, 2029, 2097, 2022, 6936, 1999, 1996, 2930, 2091, 2917, 1012, 2074, 2330, 1996, 4037, 1997, 2256, 3784, 9270, 1998, 2377, 999, 2023, 2003, 1037, 2200, 5341, 10453, 2005, 2216, 2040, 1010, 1019, 22172, 2229, 2990, 11008, 9270, 25216, 1012, 10439, 7860, 1996, 3784, 9270, 2123, 2102, 1005, 1056, 3413, 29475, 2663, 2065, 1996, 4897, 1012, 1517, 1015, 1007, 2131, 2000, 2113, 2017, 1012, 2023, 4023, 2064, 2022, 2109, 2012, 1996, 2927, 1997, 1996, 2082, 2095, 1012, 1016, 1007, 3160, 29400, 1012, 1999, 2023, 2208, 1010, 4897, 1996, 3280, 1998, 2156, 1012, 2433, 1997, 1037, 18740, 2208, 1012, 3601, 1997, 7832, 2003, 3528, 1015, 1998, 1016, 1010, 10355, 1010, 9569, 1010, 2324, 1009, 1010, 3770, 3980, 2169, 2007, 1020, 4469, 3924, 2012, 1996, 2203, 999, 14677, 2236, 2399, 1004, 3450, 2005, 2336, 1012, 5585, 5587, 2000, 11122, 1012, 4002, 2041, 1997, 1019, 1012, 3076, 9372, 1996, 18740, 1998, 2017, 3198, 2068, 1037, 3160, 1012, 1059, 2232, 1029, 3980, 3313, 18740, 5877, 2003, 1037, 9587, 29068, 5844, 5139, 1011, 4003, 5877, 7889, 1024, 2040, 1010, 2054, 1010, 2073, 1010, 1998, 2043, 3980, 1012, 19804, 2539, 1010, 12609, 1011, 6723, 1016, 18740, 1998, 2122, 3438, 3980, 2005, 1037, 4569, 2893, 2000, 2113, 2017, 2208, 1012, 2023, 3722, 2208, 2003, 1037, 2307, 2126, 2000, 7532, 1998, 4553, 2062, 2055, 2169, 1012, 10476, 1087, 1201, 10325, 22919, 10325, 16856, 29748, 15290, 22919, 29747, 17432, 1024, 1017, 1517, 1037, 2208, 1997, 18740, 1024, 3698, 4083, 1998, 1996, 3160, 7175, 2396, 1012, 10061, 1024, 2057, 3319, 2070, 6742, 1998, 1012, 5308, 1997, 2274, 3160, 18740, 1012, 2122, 18740, 2064, 2022, 2109, 2006, 2037, 2219, 2030, 5100, 2046, 2115, 2219, 2188, 2081, 2604, 2399, 1012, 1996, 3980, 3198, 2040, 1010, 2054, 1010, 2073, 1010, 2043, 1012, 2093, 2814, 1037, 1010, 1038, 1998, 1039, 2024, 2652, 1037, 18740, 2208, 1012, 9381, 1027, 1000, 3770, 1003, 1000, 1028, 1026, 7987, 1028, 2241, 2006, 1996, 2682, 2592, 1010, 3437, 1996, 2206, 3980, 1012, 2603, 1191, 10260, 17432, 25682, 1183, 1012, 1517, 2106, 15223, 4558, 4426, 2034, 2030, 2033, 1029, 1524, 2356, 2852, 4887, 15455, 2072, 2000, 2014, 3129, 9805, 19114, 4095, 15222, 2527, 1999, 1996, 13970, 6820, 11200, 1006, 2548, 2457, 1007, 1012, 2009, 2001, 1037, 20625, 3663, 1516, 1012, 1045, 2228, 1045, 2113, 1996, 6998, 2000, 2122, 1010, 2021, 2215, 2000, 2191, 2469, 1012, 2064, 1037, 2732, 2895, 2022, 2109, 2000, 6039, 1999, 1037, 2002, 2595, 1999, 1996, 23621, 28305, 1029, 1016, 1012, 2224, 1996, 2465, 4955, 3160, 18740, 2208, 2012, 1996, 2927, 1997, 1996, 2082, 2095, 1012, 2493, 2097, 2202, 4332, 5291, 1996, 18740, 1998, 10739, 1996, 3980, 1012, 1517, 2424, 4569, 18740, 2399, 2005, 8785, 1010, 3752, 1998, 3015, 1010, 1998, 2062, 1012, 3280, 2000, 2156, 2029, 3160, 2169, 3076, 2097, 3437, 2000, 8970, 3209, 10453, 3698, 16231, 18407, 2005, 9270, 12219, 1010, 7044, 9270, 2053, 12816, 1012, 10453, 3698, 2990, 11008, 9270, 2663, 1010, 2769, 3396, 1012, 2070, 1997, 2017, 2089, 2031, 2525, 4384, 2008, 2045, 2024, 2053, 2936, 2151, 3066, 2030, 2053, 3066, 2399, 2006, 1996, 2678, 5536, 5909, 6681, 1010, 7541, 9270, 2000, 2026, 2783, 3295, 2164, 2416, 2444, 2895, 8434, 3703, 2073, 2017, 2064, 3422, 2115, 7954, 2108, 4810, 1012, 2012, 1037, 2053, 12816, 9270, 1010, 2045, 2003, 2411, 2028, 3477, 4179, 1010, 2332, 5006, 9270, 6781, 9537, 16798, 2475, 1012, 2867, 2013, 1996, 3915, 1998, 2710, 2024, 6160, 1010, 2119, 2005, 2489, 1998, 2613, 2769, 2399, 1012, 1996, 2862, 1997, 12421, 3032, 2003, 4866, 1010, 5013, 2103, 9270, 20129, 10453, 2977, 1012, 9270, 1999, 3016, 2181, 2867, 2064, 5454, 1037, 6135, 2367, 10233, 2004, 2092, 1998, 3143, 1996, 3049, 2241, 2006, 1996, 11100, 4919, 3024, 2005, 2008, 3327, 10233, 1010, 2111, 2024, 2025, 5204, 1997, 2035, 1996, 2838, 1997, 2054, 3736, 9397, 1998, 2070, 2590, 2838, 2031, 2815, 2104, 1011, 12550, 2030, 5023, 1010, 2360, 2054, 2017, 2215, 10453, 3698, 1012, 2116, 2111, 2024, 2559, 2006, 2037, 4684, 5733, 2005, 2399, 1998, 10453, 18726, 2000, 2377, 1010, 2295, 2028, 2003, 15445, 2006, 1996, 2060, 1012, 8452, 2380, 19832, 15365, 1011, 15179, 26775, 27020, 8780, 7959, 6292, 13876, 1010, 6112, 20915, 4236, 1012, 1996, 2613, 2769, 8452, 2380, 19832, 15365, 3784, 9270, 2088, 9041, 2006, 1012, 2033, 9270, 2379, 10453, 1012, 4638, 2041, 2037, 10453, 2424, 2121, 2182, 1010, 2360, 2054, 2017, 2215, 10453, 3698, 1012, 2017, 2097, 3262, 2424, 2122, 2678, 2208, 19832, 2012, 2256, 9270, 1010, 9270, 2399, 2007, 2613, 11580, 1012, 3251, 2009, 1005, 1055, 1037, 4684, 1010, 7605, 2030, 6555, 10453, 1010, 2035, 2024, 2941, 2678, 19832, 1997, 9426, 4127, 1012, 1998, 2023, 2003, 2025, 2012, 2035, 5866, 2518, 2000, 3602, 1012, 2045, 2024, 2116, 4436, 2339, 2023, 2003, 1996, 2553, 1010, 2489, 2327, 4937, 19832, 1012, 2043, 2017, 2024, 2652, 10453, 6681, 1010, 3432, 20908, 2094, 1012, 3520, 2006, 1996, 3509, 2045, 2024, 20014, 14735, 9243, 1999, 1996, 3513, 1998, 19244, 9942, 1997, 20996, 9307, 4674, 1998, 10231, 2015, 1010, 1998, 4957, 6279, 1010, 3784, 2978, 3597, 2378, 9270, 3915, 2489, 23371, 2053, 12816, 1012, 3096, 6979, 2497, 2038, 1037, 2307, 3528, 1997, 2553, 3098, 20116, 3995, 19832, 2008, 2846, 1999, 3976, 2013, 2069, 1037, 2261, 16653, 2000, 2058, 1037, 3634, 6363, 1010, 9270, 2399, 2007, 2613, 11580, 1012, 2023, 3084, 2009, 2028, 1997, 1996, 2190, 4573, 2006, 2256, 2862, 2005, 5933, 5167, 1997, 2151, 10958, 15780, 1012, 17477, 2697, 9270, 10355, 2724, 1010, 9270, 5356, 2184, 2199, 2882, 3396, 1998, 2085, 2057, 2081, 1996, 2190, 21910, 2015, 2005, 2399, 1011, 2023, 2003, 2256, 21910, 9537, 1012, 2065, 2017, 5247, 2847, 2296, 2154, 2667, 2000, 2131, 2062, 1998, 2062, 4219, 1999, 16172, 2180, 2912, 19832, 1012, 16172, 2180, 2912, 19832, 2489, 9270, 2862, 1997, 10247, 1010, 21910, 2015, 1010, 12225, 1010, 6781, 2000, 1010, 18740, 2208, 3160, 1012, 2522, 20668, 19321, 2050, 2522, 20668, 19321, 2050, 9270, 7001, 1010, 2241, 1999, 5773, 1010, 2038, 1037, 10453, 2424, 2121, 2800, 2006, 2037, 4037, 1010, 18740, 2208, 3160, 1012, 20934, 22036, 14074, 1010, 28709, 6790, 2069, 2377, 2000, 23208, 1996, 2190, 3924, 1010, 1019, 22172, 2229, 2990, 11008, 9270, 25216, 1012, 3295, 1010, 17477, 2697, 9270, 1004, 3309, 1006, 3188, 2697, 1010, 1010, 24098, 1007, 1012, 17477, 2697, 9270, 3309, 2824, 2024, 2019, 10990, 2126, 2000, 3325, 1996, 2613, 12219, 7224, 1997, 5869, 7136, 1012, 2028, 2064, 2175, 2046, 1037, 5869, 7136, 1012, 8000, 20996, 9307, 4674, 1010, 19652, 14163, 22592, 3016, 3509, 3309, 1010, 24426, 4800, 9153, 2618, 2843, 3334, 3111, 1010, 22238, 1516, 22777, 1010, 11816, 1010, 17825, 1010, 25162, 1010, 4229, 2575, 4028, 1010, 5100, 1010, 20335, 7486, 1010, 2184, 17477, 2697, 9270, 1010, 22343, 1012, 9587, 5369, 5289, 3103, 2003, 2330, 1998, 7568, 2000, 3325, 2009, 2035, 2153, 999, 9587, 5369, 5289, 3103, 4107, 5151, 10355, 1010, 4239, 15365, 1998, 1996, 2190, 1997, 1996, 2190, 1999, 1012, 2000, 2377, 4438, 2399, 2013, 1996, 2759, 2208, 2265, 2013, 1023, 1011, 2340, 2337, 1012, 1996, 16934, 3748, 2015, 2064, 5667, 5335, 2115, 2613, 5356, 5222, 1010, 2489, 9270, 19832, 3698, 2053, 8816, 3225, 2531, 2086, 2077, 10355, 2150, 3423, 1012, 2780, 2097, 2377, 1037, 3528, 1997, 2399, 2164, 2223, 1997, 9489, 1012, 2057, 1005, 2128, 2067, 2012, 1996, 3376, 17477, 2697, 9270, 3309, 1998, 2023, 5353, 2003, 2183, 2000, 2022, 9389, 1011, 8966, 2007, 3045, 1998, 2208, 2265, 4569, 999, 2009, 2035, 4269, 3892, 2012, 1012, 2028, 1997, 1996, 2922, 13608, 27300, 1010, 3794, 1996, 10418, 1999, 13608, 10355, 1010, 4895, 28689, 6216, 3709, 9270, 28305, 1998, 2274, 7884, 2881, 2000, 13225, 2296, 1012, 2005, 9270, 2578, 1999, 1996, 3267, 1997, 4346, 10355, 6681, 1010, 8419, 1010, 10453, 1012, 21722, 4107, 1998, 2824, 1012, 2327, 1017, 10453, 6681, 2012, 17477, 2697, 9270, 3309, 1012, 2004, 1996, 14751, 2724, 1998, 4680, 2415, 1999, 1996, 5519, 3655, 6005, 2181, 1010, 17477, 2697, 2415, 2003, 1996, 3019, 6023, 1010, 7419, 2824, 1010, 2300, 2998, 1010, 4511, 5134, 1010, 9587, 5369, 5289, 3103, 9270, 1012, 1999, 1996, 3865, 1010, 2043, 1996, 2111, 1997, 1996, 13433, 8663, 2891, 5837, 9270, 12219, 1012, 17477, 2697, 9270, 2824, 1012, 1998, 7221, 2015, 3843, 6661, 2029, 2031, 7977, 4341, 1010, 9452, 4804, 1010, 2007, 2051, 1012, 2951, 2006, 2037, 10355, 14903, 11343, 1024, 4724, 1011, 1018, 1012, 17477, 2697, 9270, 3309, 1010, 2284, 1999, 3188, 2697, 1010, 5135, 1010, 2003, 1996, 13608, 1005, 1055, 4239, 3604, 1998, 4024, 7688, 1012, 4180, 2003, 2005, 2324, 1009, 2069, 1012, 2005, 9270, 2578, 1999, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 27946, 6467, 2000, 4480, 1024, 3102, 2012, 2097, 1075, 6498, 10878, 2099, 1516, 2251, 2286, 2006, 1996, 3944, 1997, 2251, 6122, 1010, 1996, 6467, 1999, 1996, 2577, 27946, 3979, 3092, 3972, 20755, 28893, 1998, 2234, 2067, 2007, 1037, 14392, 1997, 2025, 5905, 2006, 2035, 5571, 1012, 2007, 2023, 14392, 1010, 1996, 6659, 10576, 1997, 1996, 11851, 17789, 3235, 5008, 3310, 2000, 1037, 2485, 2007, 27946, 13002, 2035, 4735, 14000, 2005, 2010, 4506, 2006, 1996, 2305, 1997, 1996, 5008, 1012, 2750, 1996, 2345, 3012, 1997, 2023, 14392, 2006, 1996, 6580, 1997, 2577, 27946, 1010, 1996, 5813, 1997, 2023, 2553, 3957, 4182, 2000, 2195, 2200, 2590, 3423, 1998, 2591, 14379, 1012, 2708, 2426, 2122, 14379, 1010, 2057, 2227, 5186, 6801, 3980, 2055, 1996, 2224, 1997, 2969, 1011, 3639, 1998, 1996, 5762, 13827, 2229, 1999, 1996, 3425, 2291, 1012, 1996, 2206, 3720, 2003, 2026, 4106, 1997, 1996, 27946, 2025, 1011, 5905, 14392, 1998, 1996, 2200, 2613, 3314, 7203, 2011, 1996, 9353, 15549, 28200, 1997, 27946, 2005, 2010, 4288, 1997, 3235, 1012, 2043, 1045, 2034, 2387, 1996, 2739, 9499, 2005, 1996, 14392, 1997, 1996, 27946, 3979, 1010, 2026, 2034, 2245, 2001, 1996, 2206, 1006, 1998, 3531, 8016, 1996, 2653, 1007, 1024, 1523, 2054, 1996, 6616, 2074, 3047, 1029, 1524, 2144, 1996, 11851, 17789, 3235, 5008, 1999, 2337, 2262, 1010, 1045, 2031, 2628, 1996, 2591, 1998, 3423, 10960, 2000, 1996, 5008, 2200, 4876, 1012, 1999, 2804, 2000, 2206, 1996, 3663, 1999, 1996, 2739, 1010, 1045, 2165, 2895, 2083, 3015, 4790, 2006, 1996, 3663, 1998, 8019, 1999, 2195, 3731, 1011, 2181, 8090, 1006, 1996, 1523, 2454, 7415, 2666, 2233, 1524, 1007, 1012, 2076, 2035, 1997, 2023, 2051, 1010, 1045, 2245, 2008, 3425, 2052, 2776, 2022, 2589, 1998, 2008, 27946, 2052, 9015, 5729, 3423, 8465, 2005, 2010, 4288, 1997, 2019, 23206, 10563, 1012, 10142, 4092, 1010, 2045, 2038, 2467, 2042, 2019, 5186, 9398, 5981, 2058, 3251, 27946, 2323, 2022, 5338, 2007, 3416, 3014, 4028, 2030, 10758, 16042, 17298, 13900, 2121, 1012, 1996, 3078, 4489, 2090, 2122, 2048, 5571, 2003, 1037, 3043, 1997, 7848, 1024, 1011, 3416, 3014, 4028, 1024, 1037, 2711, 2003, 5905, 1997, 3416, 3014, 4028, 1999, 3516, 2065, 2027, 3102, 8307, 2302, 26563, 2098, 18557, 2030, 2569, 6214, 1006, 4654, 1012, 8639, 1007, 1010, 1998, 2027, 10580, 1037, 1523, 2139, 18098, 10696, 2094, 2568, 1012, 1524, 1037, 2139, 18098, 10696, 2094, 2568, 1999, 2023, 3663, 3774, 1997, 1037, 3768, 1997, 7634, 2005, 2529, 2166, 2008, 7505, 15194, 2229, 3722, 27988, 1012, 1011, 10758, 16042, 17298, 13900, 2121, 1024, 1037, 2711, 2003, 5905, 1997, 10758, 16042, 17298, 13900, 2121, 1999, 3516, 2065, 2027, 2552, 15734, 1998, 2302, 9608, 19777, 1999, 1037, 2126, 2029, 3463, 1999, 1996, 2331, 1997, 2178, 2711, 1012, 2004, 2009, 2003, 5186, 3697, 2000, 6011, 7848, 1999, 1996, 27946, 3663, 1010, 2116, 1006, 2870, 2443, 1007, 5275, 2008, 27946, 2323, 2031, 2042, 5338, 2007, 16042, 17298, 13900, 2121, 2738, 2084, 4028, 1012, 2096, 16042, 17298, 13900, 2121, 2003, 1037, 8276, 3715, 1010, 3516, 2375, 2052, 2031, 3223, 2008, 27946, 2227, 1037, 10915, 6263, 6251, 1997, 1023, 1012, 2423, 2086, 2005, 2010, 5008, 1997, 3235, 2065, 7979, 1012, 2349, 2000, 1996, 2270, 3778, 2006, 1996, 3663, 1010, 1996, 3648, 2052, 3497, 2031, 2445, 1037, 6251, 2521, 2682, 1996, 6263, 1012, 27946, 2001, 3322, 5338, 2007, 3416, 3014, 4028, 1010, 2021, 10758, 16042, 17298, 13900, 2121, 2001, 2794, 2046, 1996, 24265, 2012, 1996, 2203, 1997, 1996, 3979, 1999, 2344, 2000, 2507, 1996, 6467, 2019, 5724, 2060, 2084, 4028, 2030, 9353, 15549, 28200, 1012, 2404, 24250, 1010, 2045, 2001, 4089, 2438, 3350, 2000, 20462, 27946, 1997, 10758, 16042, 17298, 13900, 2121, 1998, 1996, 3247, 2011, 1996, 6467, 2000, 9353, 15549, 2102, 2003, 4895, 27753, 23393, 3085, 1012, 2025, 2069, 2001, 27946, 10003, 2000, 2031, 9828, 3365, 2335, 2000, 14766, 1006, 4654, 1012, 2893, 2041, 1997, 2010, 2482, 2138, 2002, 2134, 1521, 1056, 2113, 1996, 2395, 2171, 1010, 3235, 8660, 2041, 1997, 1996, 2512, 1011, 25953, 14568, 1010, 4385, 1012, 1007, 1010, 2021, 2002, 2001, 2019, 4273, 1998, 21021, 4738, 2711, 2007, 1037, 2381, 1997, 4808, 2206, 2019, 23206, 3576, 1012, 2445, 1996, 17463, 15422, 23169, 3401, 1997, 1996, 3350, 1998, 1996, 10502, 1997, 1996, 8276, 3715, 1997, 16042, 17298, 13900, 2121, 1010, 1045, 3432, 2031, 2053, 2801, 2129, 1996, 6467, 2787, 2000, 2292, 27946, 3328, 2185, 1012, 27946, 2097, 2196, 2227, 3423, 8465, 2005, 2010, 5008, 1997, 11851, 17789, 3235, 1010, 2021, 1045, 3246, 2008, 2002, 2003, 26453, 23355, 1010, 27666, 1998, 28186, 2005, 1996, 2717, 1997, 2010, 2166, 1012, 2002, 2089, 2031, 6376, 3423, 8689, 1010, 2021, 2008, 2097, 2079, 2498, 2000, 16021, 9869, 2032, 2114, 3352, 1037, 2120, 11968, 12215, 1010, 17793, 2000, 1051, 3501, 9304, 2030, 9036, 4938, 1012, 4821, 1010, 2023, 14392, 2025, 2069, 10099, 1996, 10576, 2005, 1996, 3235, 2155, 1010, 2021, 2009, 14451, 2015, 1037, 2200, 19817, 7140, 9709, 2186, 1997, 5936, 4953, 1996, 3516, 3425, 2291, 1012, 4593, 1010, 1996, 3516, 2969, 1011, 3639, 11671, 2085, 4473, 4273, 3633, 2000, 4060, 1037, 2954, 2007, 23206, 3633, 1998, 2000, 3102, 2068, 2065, 2027, 8108, 2000, 2954, 2067, 2043, 2045, 2024, 2053, 2060, 9390, 1012, 1996, 27946, 14392, 7534, 2019, 4423, 1010, 1998, 7199, 17082, 1010, 3193, 1997, 2969, 1011, 3639, 2029, 2038, 5041, 8223, 9031, 2015, 2065, 2009, 4150, 7731, 1012, 2104, 1996, 3193, 1997, 2969, 1011, 3639, 2109, 2011, 1996, 27946, 6467, 1010, 2019, 4273, 2158, 2064, 16021, 3775, 5867, 4736, 2007, 2053, 3423, 19777, 1010, 2069, 2000, 5607, 2037, 4539, 2065, 2002, 8108, 2015, 2000, 2954, 2067, 1998, 3046, 2000, 4019, 1517, 2023, 2003, 4028, 17330, 2004, 2969, 1011, 3639, 1012, 1999, 2344, 2000, 10580, 2023, 1010, 1045, 2097, 27152, 1996, 2969, 1011, 3639, 5919, 1997, 2023, 2553, 2011, 23987, 2185, 1996, 5762, 1998, 2287, 5876, 2029, 2081, 1996, 3235, 5008, 2061, 6801, 2000, 2116, 4841, 1024, 2711, 1037, 2003, 2019, 4273, 2158, 2040, 2038, 2042, 4738, 2000, 2954, 1998, 2040, 21094, 2058, 3263, 20850, 2015, 1012, 2711, 1038, 2003, 2019, 23206, 2158, 2040, 2038, 2018, 2053, 5337, 4337, 2731, 1998, 2040, 21094, 5018, 20850, 2015, 1012, 2028, 2305, 1010, 2711, 1037, 4076, 2711, 1038, 2005, 2053, 9398, 3114, 1998, 16021, 3775, 5867, 2015, 1037, 2954, 1517, 2023, 2954, 3463, 1999, 1996, 5008, 2331, 1997, 2711, 1038, 1998, 2195, 3576, 6441, 17303, 2006, 2711, 1037, 1012, 2044, 1996, 5008, 1010, 2711, 1037, 2003, 1996, 2069, 6405, 3239, 9148, 27401, 1998, 2002, 4447, 2008, 2711, 1038, 4457, 2032, 1010, 11807, 2032, 1010, 1998, 2699, 2000, 3102, 2032, 1010, 2947, 26785, 7971, 16518, 2711, 1037, 2000, 6985, 2370, 2007, 12765, 2486, 1012, 2043, 1996, 3350, 2003, 16578, 1010, 2009, 16691, 2008, 2711, 1037, 2018, 9828, 1999, 2195, 2752, 1997, 2010, 2466, 1025, 2010, 6441, 2020, 3576, 1010, 2010, 4070, 2001, 8186, 5263, 1998, 2711, 1038, 2018, 2053, 2668, 2030, 3097, 6064, 2006, 2010, 2398, 1012, 2013, 1037, 11850, 7863, 2391, 1997, 3193, 1010, 2009, 2003, 6835, 2008, 1996, 2466, 1997, 2711, 1037, 1997, 2023, 3663, 2323, 2025, 2022, 3373, 1517, 2009, 3475, 1521, 1056, 3569, 2011, 1996, 3350, 1010, 2002, 2038, 1037, 2381, 1997, 4808, 1010, 1998, 2002, 2038, 2019, 5186, 17075, 15793, 2000, 4682, 1999, 2344, 2000, 26399, 1996, 8465, 1997, 2010, 2895, 1012, 6854, 1010, 1996, 6467, 1997, 1996, 3235, 2553, 2001, 3591, 2007, 2023, 2200, 3663, 1006, 2081, 4788, 2011, 1996, 2755, 2008, 2010, 6778, 2001, 1037, 3576, 1998, 1996, 9723, 2008, 1996, 3988, 4736, 2001, 2241, 2588, 5762, 13827, 2229, 1007, 1998, 2027, 4900, 2000, 2292, 1996, 4273, 7323, 2099, 1013, 6359, 2175, 2489, 1012, 2065, 2969, 1011, 3639, 4269, 2000, 23758, 2000, 1996, 7961, 1997, 1996, 27946, 6467, 1010, 2059, 3516, 2097, 2031, 2468, 1037, 2173, 2073, 4028, 2003, 7687, 3423, 1012, 1999, 2344, 2000, 4028, 8307, 1010, 1037, 13109, 10050, 11692, 2064, 3432, 2131, 2068, 2046, 1037, 2173, 2073, 2045, 2024, 2053, 3239, 9148, 27401, 2229, 1010, 2718, 2068, 1999, 2344, 2000, 2707, 1037, 2954, 1010, 1998, 2059, 5607, 2068, 2320, 2027, 2131, 1037, 2261, 17957, 1999, 1517, 1996, 8866, 2008, 2027, 2020, 1996, 12943, 17603, 24137, 2099, 1999, 1996, 3988, 4736, 1998, 2008, 2027, 5838, 2007, 2486, 2126, 3458, 1996, 2504, 2008, 2027, 2020, 3591, 2024, 4593, 25120, 1012, 1996, 20594, 1997, 2023, 3193, 1997, 2969, 1011, 3639, 2003, 1037, 10103, 11967, 2005, 2270, 3808, 1010, 3391, 1999, 2107, 1037, 3297, 2553, 1012, 2044, 3773, 2023, 14392, 1010, 6355, 13109, 10050, 11692, 2015, 2007, 1037, 24665, 15979, 1998, 1037, 3282, 3402, 2228, 2008, 2027, 2031, 1037, 3928, 3639, 2005, 4028, 1998, 1996, 16593, 2008, 2027, 2097, 2552, 2041, 2037, 6355, 21233, 3402, 4150, 2172, 3020, 1012, 1999, 2755, 1010, 2057, 2031, 2525, 2464, 2023, 19815, 1999, 2969, 1011, 3639, 2076, 2195, 4028, 3572, 1999, 2163, 2029, 2031, 2979, 25145, 2969, 1011, 3639, 28548, 1012, 2005, 2742, 1010, 16720, 9172, 1517, 1037, 3146, 2543, 20027, 1517, 2001, 4854, 2055, 2010, 10638, 1521, 5189, 2189, 2028, 2305, 1010, 2061, 2002, 2253, 2058, 2000, 2010, 10638, 1521, 2160, 2007, 1037, 3282, 1998, 1037, 2678, 4950, 1012, 2044, 3788, 2058, 2000, 1996, 2160, 1010, 9172, 2288, 2046, 2019, 6685, 2007, 2010, 10638, 1010, 2877, 2032, 2000, 26292, 5607, 2028, 1997, 2068, 2096, 15192, 1523, 1045, 1521, 1049, 1999, 3571, 2005, 2026, 2166, 1524, 1998, 1523, 1045, 1521, 1049, 6069, 2031, 2000, 6985, 2870, 1524, 2005, 1996, 4950, 1012, 2320, 1996, 2610, 3369, 1010, 9172, 3555, 2969, 1011, 3639, 1998, 2435, 2068, 1996, 6823, 1999, 2344, 2000, 6011, 2009, 1517, 4593, 1010, 2002, 2245, 2008, 2010, 5377, 23318, 2015, 1997, 2969, 1011, 3639, 2653, 2052, 10210, 28731, 1996, 2755, 2008, 2002, 2253, 2041, 1997, 2010, 2160, 2007, 1037, 8209, 3282, 1998, 1037, 4950, 1010, 5525, 16533, 2000, 5607, 2010, 10638, 1998, 5323, 2969, 1011, 3639, 2006, 4950, 1012, 4821, 1010, 9172, 1521, 1055, 6707, 2001, 2000, 3288, 1996, 4950, 1010, 2004, 2009, 2435, 1037, 3154, 1998, 3819, 3861, 1997, 1996, 3663, 2008, 3662, 2010, 6904, 4877, 9031, 1997, 1996, 2969, 1011, 3639, 3663, 2000, 1996, 2610, 1998, 6467, 1006, 2017, 2064, 3193, 1996, 2440, 6823, 2182, 1007, 1025, 2002, 2003, 2085, 1999, 7173, 1010, 2383, 2042, 7331, 2000, 2871, 2086, 2005, 4028, 1012, 1996, 10800, 4342, 2013, 1996, 3235, 1998, 9172, 3572, 2024, 3432, 2008, 2017, 2064, 10142, 3102, 2111, 1010, 2074, 2004, 2146, 2004, 2045, 3475, 1521, 1056, 1037, 2678, 2030, 7409, 2000, 5860, 5596, 4183, 2115, 2466, 1012, 1996, 4935, 2015, 1997, 2969, 1011, 3639, 11342, 7645, 1999, 1996, 3235, 2553, 2038, 2085, 2741, 1996, 4471, 2000, 6355, 2111, 2542, 1999, 2070, 2163, 2008, 2027, 2064, 3102, 2012, 2097, 1010, 2074, 2004, 2146, 2004, 2027, 2079, 2061, 1999, 1037, 2126, 2008, 2987, 1521, 1056, 2681, 9390, 2000, 24528, 29201, 2037, 2466, 2044, 1996, 2755, 1006, 1998, 2123, 1521, 1056, 6823, 2037, 6997, 2005, 1996, 2610, 1007, 1012, 2000, 2022, 1523, 4189, 1524, 2000, 3516, 1521, 1055, 3425, 2291, 2295, 1010, 2009, 3544, 2008, 2035, 1997, 2037, 2163, 1521, 2313, 2038, 2042, 2445, 5294, 2135, 4423, 2916, 2000, 3102, 10334, 2040, 2130, 3504, 2012, 2068, 1996, 3308, 2126, 1517, 2008, 2052, 2022, 1037, 3860, 4379, 3952, 2000, 2317, 1998, 7272, 13109, 10050, 11692, 2015, 1012, 5762, 4487, 27694, 6447, 1999, 2969, 1011, 3639, 2065, 1523, 3102, 2012, 2097, 1524, 2969, 1011, 3639, 2020, 2000, 2022, 4162, 8053, 2408, 2035, 28321, 1999, 3516, 1010, 1996, 2110, 2052, 2074, 2022, 5307, 1037, 6659, 5325, 1999, 2270, 3808, 1012, 6854, 1010, 13109, 10050, 11692, 2015, 2031, 2582, 7328, 2098, 2037, 2969, 1011, 3639, 3471, 2011, 4526, 1037, 5762, 2135, 1011, 4487, 27694, 3686, 3193, 1997, 2969, 1011, 3639, 1010, 2073, 2317, 16362, 2024, 5123, 2011, 2969, 1011, 3639, 1998, 7162, 16362, 2024, 4375, 2852, 22684, 11148, 3827, 11746, 1012, 2404, 24250, 1010, 2065, 2673, 1999, 1996, 2553, 2815, 1996, 2168, 1010, 3272, 27946, 2020, 1037, 2304, 2158, 1998, 3235, 1037, 2317, 9454, 2611, 1010, 2023, 2553, 2052, 2031, 2042, 2246, 2012, 1998, 21651, 25796, 11543, 1012, 6343, 2064, 2360, 2007, 1037, 3442, 2227, 2008, 27946, 2052, 2022, 3039, 2000, 4366, 2969, 1011, 3639, 1998, 2009, 2003, 9951, 2000, 2228, 2008, 1996, 6778, 1521, 1055, 8962, 21470, 1998, 5929, 2052, 2022, 7882, 1012, 2317, 2111, 2024, 2062, 3497, 2000, 2022, 2583, 2000, 5147, 4366, 2969, 1011, 3639, 1998, 2024, 2172, 2625, 3497, 2000, 2022, 2730, 1999, 1523, 2969, 1011, 3639, 1524, 2043, 2025, 16873, 1037, 4126, 2084, 3060, 4841, 1012, 2023, 4487, 27694, 3012, 5260, 2000, 1037, 2291, 1997, 3425, 2073, 2317, 4841, 4374, 3176, 3423, 28548, 1998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8253, 7570, 9351, 2884, 2013, 2642, 5273, 2007, 1037, 3835, 4749, 1000, 14163, 23955, 2002, 3236, 2006, 1037, 7087, 3899, 2096, 5645, 1037, 17901, 3341, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 6816, 14163, 23955, 4388, 11409, 25190, 2007, 1037, 3835, 6816, 14163, 23955, 2008, 2002, 3236, 2006, 1037, 6714, 3678, 17395, 1999, 1023, 1005, 1997, 2300, 2006, 1996, 3341, 1997, 1037, 17901, 2793, 2096, 5645, 1037, 23840, 2015, 2221, 2697, 1012, 4388, 2001, 9179, 1037, 2358, 18733, 8473, 12597, 2039, 2007, 1037, 8273, 7439, 15934, 1998, 3770, 20850, 3231, 2240, 1012, 2028, 8524, 2221, 5009, 4907, 24665, 26915, 17701, 2121, 3173, 1037, 3835, 3429, 1012, 1019, 1000, 14163, 23955, 2008, 2001, 4049, 2098, 2011, 2010, 4049, 4256, 4776, 2618, 1012, 4907, 2108, 1996, 5658, 3124, 2758, 2010, 14161, 15457, 2595, 8103, 16343, 2015, 2024, 1996, 2069, 2126, 2000, 2175, 1012, 2018, 2048, 4520, 1997, 18008, 3950, 1998, 2985, 2070, 2051, 12528, 4691, 1012, 4248, 10903, 1998, 2713, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 2813, 17683, 3236, 2006, 1037, 24086, 3600, 2023, 2813, 17683, 2001, 3236, 2006, 1037, 18215, 2543, 6816, 24086, 3600, 2096, 5645, 2005, 14163, 23955, 2015, 2007, 2642, 5273, 5009, 4907, 24665, 26915, 17701, 2121, 1012, 6766, 24185, 24988, 2140, 2007, 19350, 8873, 12096, 2865, 2007, 1037, 3835, 14163, 23955, 2002, 3236, 1999, 2642, 5273, 1999, 1996, 2991, 1997, 2262, 1012, 1996, 14163, 23955, 2001, 3236, 2006, 1037, 1019, 1000, 7661, 1060, 8117, 3490, 19435, 17395, 1012, 1996, 25312, 24457, 5658, 2081, 3733, 2147, 1997, 4899, 1996, 3869, 1012, 4080, 6229, 2386, 2007, 1037, 3835, 14163, 23955, 2002, 3236, 2006, 1037, 2312, 2309, 6085, 6714, 3678, 17395, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 2991, 14163, 23955, 6766, 24185, 24988, 2140, 3954, 1997, 1997, 2213, 2006, 1996, 3256, 2007, 1037, 3835, 2991, 14163, 23955, 1012, 6766, 2018, 2992, 2023, 3869, 2176, 2060, 2335, 2058, 1996, 2607, 1997, 1996, 2621, 9179, 2327, 2300, 1998, 2196, 2071, 2131, 1996, 3869, 2000, 2718, 1012, 4192, 2000, 1996, 2168, 3962, 2002, 2387, 1996, 3869, 1999, 1996, 2621, 1999, 2255, 1997, 2262, 1012, 2002, 2001, 9179, 1037, 2312, 10131, 14162, 2043, 1996, 3869, 2718, 1012, 6718, 2109, 1022, 1005, 2184, 1000, 7661, 1060, 3082, 2895, 8473, 1010, 8273, 7439, 15934, 1010, 3770, 9044, 2373, 4013, 2240, 1998, 1037, 2312, 10131, 14162, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 5273, 14163, 23955, 16258, 2003, 14128, 1996, 5273, 14163, 23955, 16258, 2003, 14128, 1996, 2034, 5353, 1999, 2233, 1999, 19712, 5273, 2012, 1996, 16419, 2415, 1012, 8712, 8834, 1010, 7661, 17256, 2015, 1010, 1998, 2035, 2477, 14163, 23955, 2024, 2006, 4653, 999, 23678, 2378, 1005, 2604, 6302, 1024, 2235, 2697, 1025, 2642, 5273, 14163, 23955, 2074, 3632, 2000, 2265, 2017, 2009, 12778, 2000, 3477, 3086, 2000, 4231, 12335, 2076, 1996, 2460, 8521, 3645, 1997, 2397, 2991, 1012, 2182, 1005, 1055, 7987, 6610, 23564, 18163, 24359, 2007, 1037, 3376, 2753, 1000, 14163, 5874, 3236, 2007, 2642, 5273, 5009, 8788, 3044, 1010, 2157, 2012, 4231, 29346, 2006, 1037, 26476, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2665, 3016, 5016, 3889, 8945, 21285, 2368, 3236, 2023, 5139, 1012, 1019, 1000, 2665, 3016, 5016, 2096, 18792, 2075, 1037, 1020, 2050, 14684, 14075, 1060, 2011, 7661, 1060, 17256, 2015, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2047, 2715, 2154, 24185, 6392, 2501, 14163, 23955, 2047, 2715, 2154, 2088, 2501, 3236, 2011, 3312, 2156, 14859, 1999, 4174, 2006, 2697, 12101, 7442, 1012, 1996, 3869, 12781, 5388, 7038, 1998, 2003, 5388, 5282, 2146, 2007, 2050, 2756, 1005, 1005, 21025, 15265, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2642, 5273, 14163, 23955, 3889, 24185, 24988, 2140, 1997, 19350, 8873, 12096, 2865, 2007, 1037, 3835, 14163, 23955, 2008, 2002, 3236, 2096, 5645, 2007, 1037, 2327, 2300, 17256, 2006, 1037, 2697, 1999, 2642, 5273, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 5298, 14163, 23955, 5298, 14163, 23955, 5645, 5009, 18342, 5297, 2007, 1037, 3407, 7396, 3173, 1037, 3835, 14163, 23955, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 8893, 14163, 23955, 1999, 1996, 25312, 24457, 23678, 2378, 1005, 2604, 6302, 1024, 6487, 2080, 5047, 7126, 2404, 2028, 1999, 1996, 5658, 2007, 1996, 6487, 2080, 5047, 4987, 2000, 1037, 14163, 23955, 5658, 2009, 3084, 2009, 3733, 2005, 2151, 2028, 2000, 5658, 2045, 2219, 3869, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2047, 3290, 8893, 14163, 23955, 6766, 24185, 24988, 2140, 1997, 1997, 2213, 2007, 1037, 3835, 14163, 23955, 3236, 1999, 2047, 3290, 2006, 2630, 2300, 2697, 2096, 5645, 2007, 2019, 8273, 11721, 11890, 2072, 14163, 23955, 8473, 1998, 15934, 25025, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 4868, 1000, 2670, 14163, 23955, 3835, 4868, 1000, 5298, 14163, 23955, 999, 2023, 26128, 1997, 1037, 2670, 14163, 23955, 2001, 3236, 1998, 2207, 2011, 5180, 26927, 24746, 2140, 5645, 2007, 18342, 5297, 1998, 4717, 11404, 1012, 4638, 2041, 2035, 1996, 14163, 23955, 3688, 3321, 4013, 7340, 2038, 2000, 3749, 2182, 999, 23678, 2378, 1005, 2604, 6302, 1024, 2642, 5273, 14163, 23955, 19350, 8873, 12096, 2865, 1005, 1055, 6766, 24185, 24988, 2140, 1998, 2010, 2365, 5624, 2007, 1037, 3835, 14163, 23955, 2008, 2001, 3236, 2006, 1037, 2235, 9514, 2697, 1999, 2642, 5273, 1012, 6766, 2001, 5645, 2007, 1037, 11147, 6088, 1021, 1005, 1020, 1000, 4469, 3082, 8473, 2007, 2019, 8273, 7439, 15934, 11867, 13669, 2098, 2007, 3770, 9044, 3231, 2240, 1012, 1996, 3869, 2718, 1037, 5396, 7451, 27987, 17395, 1999, 2702, 3329, 1997, 2300, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 14163, 23955, 1997, 2213, 1005, 1055, 6766, 24185, 24988, 2140, 2007, 2028, 1997, 2048, 14163, 23955, 2015, 2002, 3236, 2006, 2067, 2000, 2067, 23942, 2096, 5645, 1037, 2235, 2697, 1999, 2642, 5273, 1012, 6766, 2001, 5645, 2007, 1037, 1019, 1000, 27987, 17395, 1999, 1022, 1005, 1997, 2300, 2074, 2125, 1996, 17901, 3341, 1012, 2156, 2035, 1996, 14163, 23955, 5645, 6718, 3321, 21572, 7340, 2038, 2000, 3749, 2182, 999, 18132, 5297, 2007, 5298, 3028, 14163, 23955, 3691, 3173, 2028, 1997, 2116, 14163, 23955, 2015, 2002, 1998, 2010, 2767, 6213, 4049, 2098, 2076, 1996, 2733, 1012, 2023, 3869, 2001, 2058, 4868, 2378, 8376, 1010, 18132, 2036, 4049, 2098, 2178, 2753, 1009, 4960, 2121, 1998, 1037, 2261, 1999, 1996, 3356, 1998, 2896, 2871, 4960, 2846, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 5139, 4960, 14163, 23955, 7441, 19739, 10322, 7076, 2007, 1037, 5016, 5139, 1005, 1005, 9413, 3236, 2006, 1037, 1023, 1005, 1005, 24086, 3600, 7632, 10874, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 2697, 1997, 1996, 5249, 14163, 5874, 23678, 2378, 1005, 2604, 6302, 1024, 5187, 1012, 1019, 1000, 14163, 23955, 3236, 2006, 6755, 2697, 14163, 23955, 8873, 12096, 1005, 1055, 3889, 24185, 24988, 2140, 2007, 1037, 5187, 1012, 1019, 1000, 14163, 23955, 3236, 2006, 6755, 2697, 2007, 3889, 12810, 11012, 1037, 5009, 2041, 1997, 5557, 13854, 7410, 1012, 2023, 14163, 23955, 2001, 3236, 2006, 1037, 26476, 19838, 1999, 1996, 2991, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 14175, 26217, 14163, 23955, 2023, 14163, 23955, 2001, 2464, 14175, 26217, 2096, 2006, 1037, 2991, 14347, 4440, 2006, 1037, 2642, 5273, 2697, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 6755, 2697, 5016, 3835, 14163, 23955, 3236, 2006, 1037, 26476, 19838, 2096, 5645, 2006, 6755, 2697, 2007, 1037, 5009, 2013, 5557, 13854, 7410, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2047, 5298, 2110, 2501, 5298, 3028, 14163, 23955, 3691, 5009, 18342, 5297, 1998, 2010, 7396, 6902, 4231, 3173, 1037, 2047, 2207, 5298, 2110, 2501, 14163, 23955, 1012, 1996, 3869, 2001, 2074, 2058, 5139, 1015, 1013, 1016, 1005, 1005, 1055, 2146, 1998, 12781, 1999, 2012, 4805, 7038, 1012, 1996, 3869, 2718, 1037, 2702, 4960, 5180, 1998, 6902, 15934, 2098, 1999, 1037, 3869, 1997, 1037, 2166, 2051, 1012, 2156, 2062, 2006, 1996, 2466, 2182, 1012, 4013, 2015, 2549, 1011, 1015, 6499, 3126, 3401, 1005, 1055, 3889, 24185, 24988, 2140, 2007, 1037, 3835, 14163, 23955, 2008, 2002, 3236, 2006, 1037, 24086, 3600, 2057, 8490, 2571, 2096, 5645, 2006, 11333, 5638, 3995, 2239, 2697, 1999, 2167, 2530, 4561, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 4561, 14163, 5874, 4013, 2015, 2549, 1011, 1015, 6499, 3126, 3401, 1005, 1055, 3889, 24185, 24988, 2140, 2007, 1037, 3835, 14163, 5874, 3236, 2006, 1037, 26476, 19838, 2096, 5645, 6755, 2697, 1999, 4561, 2041, 1997, 5557, 2026, 2121, 1005, 1055, 7410, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2397, 2991, 14163, 5874, 2006, 1037, 26476, 19838, 11920, 26476, 2015, 2369, 1996, 4049, 2917, 1037, 2312, 3960, 5677, 2096, 9179, 1999, 1996, 2991, 2003, 1037, 2307, 2126, 2000, 4608, 2216, 10346, 6799, 2100, 14163, 23955, 2015, 1012, 2043, 1996, 3869, 4076, 2115, 17256, 2046, 1996, 4049, 1998, 2515, 2025, 4521, 1010, 2062, 2335, 2084, 2025, 2009, 2097, 9880, 2125, 2156, 1996, 26476, 1998, 1996, 2954, 2003, 2006, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2327, 2300, 14163, 23955, 3835, 2642, 5273, 14163, 5874, 3236, 2006, 1037, 24086, 3600, 9152, 2618, 5232, 1999, 1019, 1005, 1997, 2300, 1012, 3835, 14163, 5874, 3236, 2006, 2697, 1997, 1996, 5249, 2041, 1997, 24763, 22648, 2243, 2479, 7001, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 14163, 5874, 2006, 1037, 26476, 4080, 6229, 2386, 2013, 9184, 5273, 2007, 1037, 3835, 14163, 5874, 2008, 2002, 3236, 2006, 1037, 2444, 2317, 26476, 4987, 2000, 1037, 26476, 17445, 2104, 1037, 2312, 3960, 5677, 2096, 15013, 1996, 26476, 2058, 1996, 2784, 17901, 9705, 1999, 2260, 1005, 1997, 2300, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2784, 2300, 14163, 5874, 1999, 1996, 2991, 1996, 2502, 14163, 23955, 2015, 2428, 2404, 1996, 5438, 4524, 2006, 1998, 2009, 2064, 2022, 2028, 1997, 1996, 2190, 2335, 1997, 1996, 2095, 2000, 4539, 3469, 3869, 1012, 2023, 3869, 2001, 3236, 2006, 1037, 2410, 1005, 1005, 28722, 26476, 2011, 24086, 3600, 17256, 2015, 2096, 5645, 1999, 1037, 2324, 1005, 2784, 3013, 1999, 2090, 1037, 17721, 1998, 8494, 4257, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2753, 1005, 1005, 6755, 2697, 14163, 5874, 4013, 2015, 2549, 1011, 1015, 6499, 3126, 3401, 1005, 1055, 6766, 24185, 24988, 2140, 3173, 1037, 3082, 2753, 1005, 1005, 14163, 5874, 2002, 3236, 2006, 6755, 2697, 2096, 5645, 2007, 3889, 12810, 11012, 1012, 3889, 2003, 1037, 2200, 2092, 2124, 5009, 2041, 1997, 5557, 2026, 2121, 1005, 1055, 7410, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 6714, 3678, 26068, 2102, 14163, 5874, 3835, 2871, 1005, 1005, 14163, 5874, 3236, 2006, 1037, 6714, 3678, 26068, 2102, 1999, 2642, 5273, 1012, 2096, 5645, 1996, 19586, 1999, 1016, 2000, 1019, 2519, 1997, 2300, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2204, 2028, 2006, 1037, 2033, 28281, 1001, 1019, 10131, 5725, 4013, 2015, 2549, 1011, 1015, 6499, 3126, 3401, 1005, 1055, 6766, 24185, 24988, 2140, 2007, 1037, 4724, 1005, 1005, 14163, 5874, 3236, 2006, 1037, 2033, 28281, 1001, 1019, 10131, 5725, 1999, 1019, 2519, 1997, 2300, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2572, 2140, 2991, 14163, 5874, 1996, 2991, 14163, 5874, 6805, 2038, 2042, 2980, 1012, 15885, 2682, 2003, 1037, 3407, 8013, 2013, 5557, 2026, 2121, 1005, 1055, 7410, 2006, 6755, 2697, 1999, 2710, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3167, 2190, 6816, 14163, 5874, 5006, 11338, 11528, 8977, 2007, 1037, 3835, 18133, 2099, 1005, 1040, 6816, 14163, 23955, 3236, 2006, 1037, 26476, 1012, 2023, 2001, 2010, 2034, 2051, 2412, 5645, 14163, 23955, 2015, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 2760, 7610, 4779, 5430, 2448, 2697, 1011, 3083, 2173, 15885, 2003, 5199, 1998, 4422, 12852, 2007, 2037, 2034, 2173, 22236, 2012, 1996, 2760, 2658, 14163, 23955, 2977, 4446, 2724, 2218, 2006, 5430, 2448, 2697, 2041, 1997, 2062, 4974, 5612, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 3835, 4474, 2096, 3321, 5645, 2023, 14163, 23955, 2001, 3236, 2006, 2321, 1001, 3231, 2240, 2006, 1037, 24691, 17395, 2096, 5645, 2005, 3321, 1999, 1037, 3149, 2090, 2048, 6597, 1012, 2044, 1037, 4248, 3861, 2016, 2001, 2207, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 8467, 2300, 14163, 5874, 2006, 1996, 3338, 4013, 2015, 2549, 1011, 1015, 6499, 3126, 3401, 1005, 1055, 6766, 24185, 24988, 2140, 3173, 2039, 2028, 1997, 2048, 14163, 23955, 2015, 2008, 2002, 3236, 1999, 2019, 3178, 2076, 1996, 4918, 6243, 3986, 14163, 5874, 2977, 2197, 5353, 1012, 1996, 2048, 3869, 2020, 2204, 2438, 2005, 2117, 2173, 1999, 1996, 2724, 1012, 6766, 2001, 5645, 1996, 20777, 2007, 1037, 8467, 9404, 27987, 17395, 1012, 11562, 2006, 1996, 4957, 2000, 2156, 1996, 6028, 2002, 2109, 1012, 23678, 2378, 1005, 2604, 6302, 1024, 5595, 4960, 2121, 2006, 1037, 9152, 2618, 5232, 1996, 9152, 2618, 26965, 2038, 2042, 2006, 2543, 2023, 2095, 2005, 1037, 2843, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2043, 1045, 2253, 2091, 2000, 1996, 2300, 1521, 1055, 3341, 1010, 2073, 1996, 3628, 2507, 2126, 2000, 8430, 1010, 2073, 2601, 3957, 2126, 2000, 2422, 1010, 1998, 2146, 2305, 10514, 9468, 25438, 2015, 2000, 2154, 1010, 1045, 2777, 1037, 2158, 1012, 2074, 3564, 2002, 2001, 1012, 2010, 2067, 2000, 2033, 2004, 2002, 4320, 1996, 19415, 4770, 1997, 2300, 1012, 1523, 2272, 1010, 4133, 3875, 2033, 1524, 2002, 2056, 1012, 1998, 1045, 2106, 2061, 1010, 2077, 1045, 11323, 2008, 2002, 2910, 1521, 1056, 5287, 2012, 2035, 1025, 2061, 2784, 2001, 2002, 1999, 9530, 18532, 24759, 3370, 1010, 2061, 2012, 2028, 2007, 2035, 2105, 2032, 1010, 2008, 1045, 8615, 1045, 2052, 22995, 1996, 25283, 26147, 3012, 1997, 2010, 13804, 1012, 2005, 1037, 2146, 2096, 2057, 2020, 1999, 4223, 1010, 2002, 1998, 1045, 1010, 2217, 2011, 2217, 1012, 2146, 2044, 2026, 14325, 2018, 2042, 7351, 2039, 2011, 1996, 12090, 5053, 1997, 1996, 2617, 1010, 2008, 4895, 27942, 3709, 2302, 17626, 2030, 14987, 1998, 20593, 2098, 2046, 3052, 1012, 1523, 2012, 2197, 1524, 2002, 2056, 1010, 1523, 2017, 2024, 2182, 1012, 1045, 2031, 2042, 3403, 1012, 1524, 2005, 1996, 2034, 2051, 1010, 1045, 2357, 2000, 2298, 2012, 2026, 2047, 7452, 1012, 2129, 4618, 1045, 6235, 2032, 1029, 5674, 2065, 2017, 2097, 1037, 2227, 2008, 16636, 2015, 2012, 2320, 14262, 20693, 1010, 9866, 1010, 15398, 1010, 3997, 1010, 13372, 1998, 2293, 1012, 2008, 2003, 2129, 2002, 2596, 2000, 2033, 1010, 2004, 2057, 2938, 3875, 1996, 2697, 1012, 2002, 2018, 1996, 3311, 1997, 1037, 8284, 1010, 1037, 17477, 1010, 1037, 6517, 6979, 1010, 1037, 11693, 6843, 1010, 1037, 16669, 1010, 1037, 3836, 1010, 1037, 12225, 3334, 1010, 1037, 10878, 1010, 1037, 2269, 1010, 1037, 2388, 1010, 1037, 4702, 1010, 2019, 6755, 1010, 2019, 2296, 2386, 1010, 1998, 2053, 2158, 2012, 2035, 1012, 2010, 2606, 13230, 4717, 2098, 2091, 2000, 2010, 5808, 2664, 2010, 2132, 2001, 13852, 1012, 2002, 2001, 4550, 27545, 2078, 1997, 2227, 1998, 2664, 2002, 5078, 1037, 2146, 20228, 4886, 3064, 10154, 1012, 2010, 17925, 5112, 11853, 2105, 2010, 4853, 1010, 1998, 2664, 2002, 2001, 6248, 1012, 2002, 2001, 1037, 7985, 2664, 1045, 2354, 2032, 1012, 1523, 1045, 2031, 2042, 3564, 2182, 1999, 17626, 1997, 2017, 2005, 2107, 1037, 2146, 2051, 1524, 2010, 2616, 2179, 2037, 2126, 2046, 2026, 2540, 1010, 1524, 1045, 2031, 2464, 2017, 3413, 2011, 1012, 6575, 1012, 2664, 2017, 2196, 2387, 2033, 1010, 1998, 1045, 2031, 2042, 2157, 2182, 2035, 2247, 1012, 2156, 2129, 2146, 2026, 10154, 2038, 2468, 1524, 1523, 2065, 2017, 2354, 1045, 2734, 2017, 1010, 2001, 2559, 2005, 2017, 1010, 2339, 2134, 1521, 1056, 2017, 3362, 2041, 2000, 2033, 1029, 1524, 1524, 2138, 1010, 2008, 3475, 1521, 1056, 2129, 2009, 2573, 1010, 2017, 2113, 2008, 1012, 2009, 2003, 2017, 1010, 2040, 2442, 3362, 2041, 2000, 2033, 1012, 2017, 2064, 2069, 2079, 2008, 2043, 2017, 2024, 3201, 1012, 1998, 2085, 2017, 2024, 3201, 1012, 2017, 2156, 2033, 2043, 1996, 2051, 2003, 2157, 1012, 2017, 2156, 2033, 2043, 2017, 7806, 1010, 2017, 2156, 2033, 2043, 2017, 2903, 1012, 1523, 1045, 2123, 1521, 1056, 3305, 1524, 1523, 2821, 1010, 2009, 3475, 1521, 1056, 2115, 6346, 1010, 2009, 1521, 1055, 2129, 2017, 2035, 2228, 1012, 2017, 2031, 2042, 2081, 2235, 2011, 1996, 3441, 2017, 2031, 2042, 2409, 1010, 3441, 2008, 6487, 2017, 1997, 1996, 3894, 1010, 3441, 2008, 2425, 2017, 2000, 2156, 2000, 2903, 1010, 2043, 3071, 4282, 2008, 1996, 3606, 2003, 2008, 2057, 2342, 2000, 2903, 1999, 2344, 2000, 2156, 1012, 1524, 1523, 1045, 2145, 2123, 1521, 1056, 3305, 1524, 1045, 2001, 2927, 2000, 2614, 2066, 1037, 22530, 1012, 1523, 2202, 1037, 2298, 1999, 1996, 5380, 1997, 1996, 2697, 1012, 2425, 2033, 2054, 2017, 2156, 1012, 1524, 2026, 2047, 7452, 2056, 1012, 1045, 13011, 3553, 2000, 2073, 1996, 2300, 5001, 5669, 2114, 1996, 2924, 1012, 1996, 5380, 2020, 6121, 3154, 1010, 1998, 2875, 1996, 2803, 1997, 1996, 2697, 1010, 1045, 2071, 2156, 1996, 2073, 1996, 2598, 2016, 26832, 2185, 1010, 2069, 19573, 19914, 1010, 2664, 2035, 2247, 1996, 8467, 2300, 1521, 1055, 3341, 1010, 9105, 1996, 9185, 1997, 1996, 3103, 1010, 4714, 20296, 1998, 6386, 25224, 1998, 4191, 1998, 28092, 1999, 1996, 4830, 9397, 3709, 2422, 1012, 1045, 4016, 2058, 1024, 1045, 3236, 4356, 1997, 2026, 9185, 1012, 1523, 2425, 2033, 2054, 2017, 2156, 1524, 1523, 1045, 2298, 2214, 1010, 2026, 2606, 2003, 4462, 1010, 1045, 2298, 5458, 1010, 9069, 1010, 2601, 7635, 2104, 2026, 2159, 1010, 2417, 2013, 6933, 1010, 2227, 4857, 2085, 1010, 6029, 23470, 1010, 2606, 14401, 1012, 1524, 1523, 7929, 1010, 7929, 1010, 2644, 2085, 1010, 1524, 2002, 2056, 5251, 1012, 1523, 2438, 1012, 2339, 2079, 2017, 4900, 2000, 2156, 4426, 2023, 2126, 1029, 2065, 2023, 2003, 2129, 2017, 2156, 4426, 1010, 2023, 2003, 2054, 2017, 2097, 2903, 2055, 4426, 1012, 1998, 1996, 2062, 2017, 2903, 2009, 1010, 1996, 2062, 2009, 2097, 2468, 1996, 3606, 1012, 2030, 2738, 1010, 2009, 2097, 2468, 2115, 3606, 1012, 1523, 2292, 2033, 2404, 2023, 2178, 2126, 1010, 2292, 2033, 3745, 2007, 2017, 2054, 1045, 2156, 1012, 1524, 1998, 2002, 2357, 2000, 2227, 2033, 1010, 2127, 2057, 2024, 2119, 8901, 2892, 1011, 15817, 5307, 2028, 2178, 1012, 5042, 7244, 1012, 2002, 2165, 2026, 2398, 1999, 2010, 1010, 1998, 2246, 2046, 2033, 1012, 2002, 2246, 2061, 2521, 2046, 2033, 1010, 2877, 2033, 2046, 1996, 6748, 5380, 2012, 1996, 2803, 1997, 1996, 4770, 1010, 2127, 1045, 2001, 2041, 1997, 2026, 5995, 1010, 2627, 1996, 8508, 2008, 1045, 2031, 3833, 2004, 1037, 4721, 2114, 1523, 1996, 27076, 2015, 1998, 12563, 1997, 25506, 7280, 1524, 1025, 2012, 2296, 2197, 3595, 1010, 2012, 2296, 2197, 2466, 1997, 3067, 2008, 2218, 3255, 1998, 12039, 1998, 4963, 1998, 9940, 1998, 10520, 1998, 8056, 1998, 9467, 1025, 2012, 2296, 2466, 2008, 2001, 2409, 2000, 2033, 2055, 2129, 2028, 2323, 16582, 1010, 2055, 2054, 2028, 11276, 2000, 2079, 1516, 1996, 14527, 3635, 1997, 23758, 3012, 1998, 17626, 1025, 2012, 2296, 2466, 2008, 24209, 11823, 2098, 1996, 2422, 1997, 2026, 4382, 2000, 2022, 3748, 1998, 2489, 1998, 4895, 7959, 14795, 2011, 3571, 1012, 1998, 2059, 2633, 1010, 2633, 1010, 2043, 2035, 1045, 2245, 2002, 2071, 2156, 2001, 2026, 15428, 1998, 2026, 12051, 1010, 2043, 1045, 2001, 2485, 2000, 2770, 2041, 1997, 3052, 1010, 2379, 14759, 1999, 13905, 1010, 1045, 2292, 2175, 1010, 1998, 2057, 3631, 1996, 3302, 1012, 1998, 2045, 1010, 2218, 1999, 1996, 9979, 1997, 1996, 5380, 1010, 1045, 2371, 2293, 1010, 5760, 1998, 3722, 1012, 2293, 2008, 2003, 4895, 8663, 27064, 1010, 2293, 2008, 14087, 16646, 1010, 2293, 2008, 11014, 2025, 14449, 1010, 2293, 1010, 3149, 3709, 2083, 2026, 2047, 7452, 1010, 23229, 2013, 2010, 3969, 2784, 2046, 3067, 1012, 2293, 2008, 5683, 2066, 1996, 3103, 8361, 2013, 2369, 1037, 6112, 1012, 1523, 2064, 2017, 2514, 2054, 1045, 2156, 1029, 1524, 2002, 2356, 1012, 1523, 1045, 2156, 1996, 3376, 3969, 1996, 5304, 6369, 2046, 2108, 1012, 2005, 2169, 1998, 3071, 1997, 2149, 3397, 1996, 6534, 1997, 7746, 5053, 1998, 4519, 1010, 2008, 2065, 27617, 11244, 2094, 28766, 2046, 1037, 6546, 2008, 5665, 12717, 12556, 2015, 1010, 17820, 2015, 1010, 11005, 2015, 1998, 18536, 1012, 2021, 2065, 1996, 5800, 2046, 2029, 1996, 6534, 2003, 2061, 7962, 2003, 15486, 1010, 2104, 3630, 9496, 14740, 2030, 17672, 2011, 2256, 2219, 14879, 9029, 1010, 2919, 6322, 1010, 2011, 16646, 1010, 2011, 16440, 2059, 1996, 10059, 13426, 4627, 2000, 2007, 2121, 1012, 2021, 2054, 2003, 2061, 9487, 2055, 2122, 7746, 8079, 1010, 2003, 2008, 3950, 2784, 2306, 2068, 1010, 2003, 2242, 1045, 2655, 3246, 1012, 1998, 3246, 2003, 1037, 6919, 2518, 2000, 2907, 1999, 2115, 2540, 2012, 2035, 2335, 1010, 2005, 2009, 7365, 2192, 1999, 2192, 2007, 1520, 4022, 1521, 1012, 4022, 2965, 2108, 2583, 1012, 2009, 2965, 2373, 1012, 2008, 1010, 2026, 6203, 2767, 1010, 2003, 2054, 1045, 2156, 1012, 1045, 2156, 2115, 2373, 1012, 1524, 2026, 2540, 2001, 9836, 1010, 21660, 1010, 1999, 2026, 3108, 1012, 3810, 2000, 1996, 2697, 4770, 2320, 2153, 1010, 1045, 10757, 2046, 1996, 11143, 1012, 2009, 2001, 9487, 1010, 2054, 3894, 1998, 11449, 1010, 2005, 2045, 16448, 2067, 2012, 2033, 2001, 1010, 2053, 2936, 1996, 2227, 1997, 4462, 13905, 1010, 2021, 2028, 4895, 2890, 3597, 29076, 19150, 2000, 2033, 1010, 23751, 1998, 2844, 1012, 1998, 1996, 2062, 1045, 2246, 2012, 1996, 9185, 1010, 1996, 2062, 1045, 3373, 2054, 1045, 2387, 1010, 1998, 1996, 2062, 1045, 3373, 2054, 1045, 2387, 1996, 16176, 2150, 1996, 4432, 1010, 2127, 2071, 2514, 1996, 2373, 3254, 4192, 2000, 2026, 4382, 1010, 18266, 2083, 2296, 3526, 1997, 2026, 2108, 1010, 1998, 1045, 2371, 9442, 1010, 2026, 2540, 2371, 2330, 2153, 1010, 2026, 2126, 2001, 3154, 1012, 1998, 1045, 2071, 3342, 2035, 1996, 6569, 2015, 1045, 2018, 2412, 2124, 1010, 2035, 1996, 14152, 2307, 1998, 2235, 1010, 2035, 1996, 7239, 1010, 2035, 1996, 2293, 1045, 2018, 2445, 1998, 2035, 1996, 2293, 1045, 2018, 2363, 1012, 1523, 4067, 2017, 1010, 1045, 2056, 1012, 1523, 2017, 2024, 6160, 1010, 2021, 1045, 2572, 2025, 1996, 3836, 1010, 2017, 2024, 1012, 2017, 2156, 1999, 2033, 1037, 5009, 1010, 1037, 16167, 1010, 1037, 3836, 1010, 19783, 1010, 2019, 9698, 1012, 2748, 1010, 1045, 2572, 2035, 2216, 2477, 1012, 2021, 1045, 2069, 4839, 2005, 2004, 2146, 2004, 2017, 2903, 1999, 2033, 1012, 1998, 2035, 1997, 2122, 11647, 2024, 1999, 2017, 1010, 2030, 2017, 2052, 2025, 2022, 2583, 2000, 2156, 2068, 1999, 2033, 1012, 1045, 3328, 2007, 2017, 2006, 2023, 4990, 1010, 1999, 2344, 2008, 2017, 3342, 2074, 2129, 3928, 1998, 8687, 2017, 2024, 1010, 1999, 2344, 2000, 10825, 2017, 2008, 2017, 2024, 5214, 1997, 2172, 2062, 2084, 2017, 2228, 1010, 1998, 2061, 2008, 3649, 6433, 1998, 11210, 2017, 2175, 1010, 1998, 3649, 2022, 28067, 2017, 1010, 2017, 2097, 2196, 2022, 2894, 1012, 2005, 1045, 4618, 2467, 2022, 2157, 2182, 1010, 19960, 16518, 2011, 2023, 4770, 1010, 14488, 2074, 2005, 2017, 1010, 2182, 2065, 2017, 2342, 2033, 1012, 2061, 15716, 2094, 2001, 1045, 2011, 2023, 9223, 8087, 1010, 1045, 2211, 2000, 5390, 1012, 4000, 2743, 2091, 2026, 6029, 1998, 3062, 2588, 1996, 3011, 1010, 1998, 2073, 1996, 27126, 5028, 1996, 5800, 2235, 2317, 4870, 3724, 2037, 2126, 2090, 1996, 10491, 1997, 5568, 2046, 1996, 11695, 1012, 1523, 1996, 2613, 5089, 2031, 2042, 3666, 2058, 2017, 1998, 2035, 2256, 10748, 2005, 27620, 1012, 2054, 2079, 2017, 2514, 4218, 2115, 2192, 1029, 1524, 1045, 7121, 2026, 3093, 1998, 2743, 2026, 2398, 2083, 1996, 5568, 1012, 10620, 2007, 24903, 1010, 3730, 1010, 3500, 2100, 1010, 2665, 1010, 2061, 2116, 29343, 1012, 1045, 3724, 2091, 2046, 1996, 5800, 1010, 2029, 2081, 2126, 2005, 2026, 3093, 1010, 4658, 1010, 2601, 1010, 11052, 1010, 6147, 1010, 3727, 1010, 6386, 1010, 16253, 1010, 6748, 1998, 6748, 1045, 7569, 2046, 1996, 3011, 1010, 14489, 2046, 1996, 26578, 1997, 1996, 2388, 1012, 1045, 2071, 2963, 2014, 5505, 1010, 2514, 2014, 2844, 9979, 1010, 1045, 3913, 1999, 2014, 2608, 1010, 11891, 2989, 2006, 2014, 2166, 3228, 24816, 2004, 2016, 23774, 2033, 1998, 14215, 1998, 11320, 4571, 11283, 2094, 1998, 6369, 2000, 2033, 1996, 3441, 1045, 2018, 6404, 1997, 2054, 2009, 2965, 2000, 2022, 2529, 1012, 1523, 10190, 2388, 1010, 2009, 2003, 1045, 1010, 2115, 12787, 1010, 1998, 1045, 2215, 2000, 4067, 2017, 2005, 1996, 2293, 2017, 2265, 2149, 1012, 1996, 2833, 2007, 2029, 2017, 3073, 2149, 1010, 7713, 1010, 2833, 1010, 4200, 1010, 3536, 2005, 2256, 2543, 2061, 2057, 2031, 3860, 1998, 2422, 2043, 2009, 2003, 2601, 2035, 2105, 1012, 2066, 19582, 4895, 22780, 3993, 2336, 2057, 3198, 2061, 2172, 2013, 2017, 1010, 2057, 2202, 2013, 2017, 1010, 2057, 2024, 2196, 8510, 1010, 1998, 2007, 2256, 22040, 2057, 2031, 17672, 2017, 1998, 15504, 2017, 1010, 2664, 2145, 1010, 2017, 2562, 2006, 3228, 2000, 2149, 2051, 1998, 2051, 2153, 1012, 2017, 6570, 2149, 1996, 10800, 1997, 4895, 8663, 27064, 2293, 1012, 2089, 2057, 3342, 2000, 4847, 1998, 6225, 2017, 1010, 2256, 2388, 1010, 1998, 1999, 2725, 2061, 1010, 3342, 2129, 2000, 4847, 1998, 6225, 9731, 1012, 1524, 2059, 1045, 2371, 1037, 11112, 2006, 2026, 3244, 1010, 2006, 3810, 1045, 2387, 2008, 2009, 2001, 1996, 3103, 1010, 4285, 2091, 2013, 3458, 1996, 8044, 1012, 1523, 2269, 3103, 1010, 6160, 1010, 6160, 1010, 6160, 2000, 2017, 1012, 4067, 2017, 2005, 5026, 1996, 2422, 2169, 1998, 2296, 2154, 1012, 2061, 2008, 2057, 2079, 2025, 2031, 2000, 2444, 1999, 18870, 4768, 1012, 1996, 4768, 2003, 1997, 2256, 2219, 16603, 1998, 2256, 2219, 2437, 1010, 2005, 2017, 1010, 2066, 6708, 1010, 4125, 2296, 2851, 2000, 10825, 2149, 2008, 2673, 3632, 1998, 3310, 1999, 12709 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1077, 1192, 10260, 29744, 10260, 29742, 29746, 16856, 14150, 29742, 19259, 29743, 10325, 22919, 10325, 1090, 1996, 2744, 1997, 18476, 14262, 5737, 8525, 3207, 2029, 2089, 2012, 1996, 19258, 1997, 1996, 2457, 2022, 2445, 2612, 1997, 8210, 10219, 1010, 2003, 3668, 2000, 7426, 2086, 1006, 1061, 1007, 1012, 2061, 1010, 2036, 1010, 2040, 6499, 22507, 4618, 8954, 1037, 3586, 1010, 11941, 1010, 21500, 4667, 1010, 9110, 2030, 22062, 1025, 1037, 7087, 1010, 11190, 1010, 23060, 1010, 2002, 23780, 2030, 19134, 1025, 2030, 1037, 8223, 1010, 1041, 8545, 1010, 8351, 2030, 12559, 1025, 2003, 16385, 3085, 2011, 18476, 14262, 5737, 8525, 3207, 2000, 1996, 6698, 1997, 7426, 1010, 2030, 2025, 2625, 2084, 2274, 2086, 1010, 2030, 2011, 10219, 1010, 2007, 2030, 2302, 2524, 4428, 1998, 14348, 21551, 1010, 2000, 1996, 6698, 1997, 2048, 2086, 1006, 1062, 1007, 1012, 1031, 1996, 3176, 18976, 14755, 1999, 2122, 12107, 1010, 2003, 11427, 2000, 1996, 7669, 2045, 2052, 4728, 2022, 1999, 15224, 5350, 2061, 4089, 3344, 2125, 1006, 1037, 1007, 1012, 2588, 2029, 6958, 1996, 3142, 2375, 14248, 2062, 8949, 2084, 2060, 15862, 1996, 11113, 25538, 2072, 1010, 2030, 8954, 2545, 1997, 7125, 1006, 1020, 1007, 1025, 1998, 1996, 28352, 22084, 3089, 2072, 1010, 2030, 2107, 2004, 10312, 1996, 4253, 1997, 5381, 2040, 2020, 12699, 1999, 1996, 2270, 19692, 1006, 1039, 1007, 1024, 2119, 2029, 4552, 2015, 4025, 2000, 2022, 11780, 2013, 1996, 4277, 1997, 7571, 1006, 1040, 1007, 1012, 1998, 2061, 1010, 2205, 1010, 1996, 3424, 4765, 25976, 2015, 14248, 1010, 2007, 4895, 16570, 26951, 18976, 1010, 11933, 2015, 1997, 7125, 2030, 9781, 2008, 2001, 2128, 24065, 2094, 1998, 2187, 2006, 1996, 2492, 1025, 2107, 2785, 1997, 3200, 1010, 2029, 2053, 2529, 3068, 2064, 12949, 3457, 1010, 2108, 19593, 2098, 2104, 1996, 14099, 9968, 1997, 6014, 1006, 1041, 1007, 1012, 1033, 1996, 15226, 2029, 2057, 2031, 2042, 2718, 5886, 3406, 6195, 2003, 2008, 1997, 2474, 19170, 4890, 2012, 2691, 2375, 1010, 2021, 1999, 4434, 2007, 2023, 15226, 1010, 1998, 5372, 2005, 9584, 2104, 1996, 2168, 2132, 1010, 2003, 1996, 4126, 1997, 11065, 2477, 2025, 1996, 3395, 1997, 1006, 1061, 1007, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 1055, 1012, 5786, 1010, 2128, 1011, 4372, 18908, 2075, 1999, 9415, 1021, 1004, 1022, 20248, 1012, 1018, 1010, 1039, 1012, 2756, 1010, 1055, 1012, 2385, 1012, 1006, 1062, 1007, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 1055, 1012, 2184, 1025, 2676, 1004, 2654, 10967, 2102, 1012, 1039, 1012, 4700, 1012, 2156, 2036, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 1055, 1012, 2340, 1010, 2004, 2000, 19863, 7699, 4288, 2151, 4111, 1006, 1996, 11065, 2073, 11253, 2052, 2031, 18779, 2000, 24648, 1007, 1010, 2007, 7848, 2000, 8954, 1996, 2482, 18382, 1010, 1004, 1039, 1012, 1025, 17831, 2015, 1012, 2260, 1516, 2385, 1010, 2004, 2000, 22300, 2135, 4755, 2185, 1010, 1004, 1039, 1012, 1010, 8448, 2921, 1999, 6138, 1010, 1004, 1039, 1012, 1025, 17831, 1012, 2459, 1010, 2004, 2000, 22300, 1006, 1037, 1007, 6819, 3207, 10514, 2361, 1012, 1052, 1012, 2459, 1012, 2474, 19170, 4890, 2012, 2691, 2375, 1012, 2005, 1999, 5082, 1997, 2051, 2009, 2001, 2179, 4072, 2000, 7949, 1996, 3860, 1997, 1996, 18476, 4277, 2000, 2116, 1997, 2216, 5739, 1010, 1997, 2029, 1996, 3424, 4765, 2375, 1997, 2474, 19170, 4890, 2165, 2053, 4070, 1024, 1998, 4490, 1997, 3323, 2020, 11914, 2979, 1010, 2013, 2051, 2000, 2051, 1010, 2011, 2029, 29115, 2020, 9770, 2005, 11933, 2015, 5462, 1999, 4847, 1997, 2536, 7957, 1997, 3200, 2061, 25652, 2094, 1024, 1998, 2295, 2122, 18574, 2031, 2042, 2144, 21492, 1010, 1996, 2168, 2236, 4874, 2038, 2042, 9505, 1999, 1996, 2552, 1006, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1007, 1010, 2029, 2001, 2979, 1999, 1996, 2095, 6863, 1010, 2000, 24939, 1996, 11671, 2375, 1523, 8800, 2000, 2474, 19170, 4890, 1998, 2060, 2714, 18421, 1524, 1006, 1042, 1007, 1012, 2011, 2023, 2552, 1006, 1023, 1007, 8910, 2024, 2081, 2114, 11065, 1523, 7070, 12012, 1010, 1000, 1517, 2107, 2004, 9547, 1010, 8236, 1998, 1996, 2066, 1006, 1015, 1007, 1517, 1998, 3365, 2060, 5739, 1997, 3200, 1997, 2029, 1996, 4372, 17897, 8156, 2097, 2022, 2179, 1999, 1037, 3602, 2917, 1006, 1045, 1007, 1025, 1998, 2009, 2089, 2022, 4201, 2091, 1999, 2236, 3408, 1010, 2008, 11065, 2038, 2085, 2468, 2019, 15226, 1010, 20090, 2000, 7750, 2030, 6531, 1010, 1999, 7634, 2000, 2035, 2693, 3085, 2015, 3649, 1012, 2057, 2036, 17674, 1010, 2007, 4847, 2000, 1996, 7957, 1997, 11065, 2947, 2580, 2011, 11671, 1999, 12448, 2000, 1996, 3424, 4765, 2375, 1997, 2474, 19170, 4890, 1010, 2008, 2035, 1996, 2691, 2375, 23252, 5816, 2000, 1006, 1042, 1007, 2070, 1997, 1996, 8910, 1997, 2023, 2552, 2024, 2036, 4197, 2012, 1996, 27105, 2030, 24156, 6215, 1997, 1996, 5739, 1997, 3200, 1025, 1998, 1006, 1999, 1996, 2553, 1997, 4176, 1007, 2114, 1996, 4288, 2007, 7848, 2000, 2358, 9289, 2068, 1012, 1006, 1023, 1007, 2023, 11671, 2003, 2000, 1037, 3056, 6698, 2241, 2006, 1037, 3025, 2552, 1010, 2383, 1996, 2168, 2236, 2640, 1010, 1998, 3053, 1996, 2168, 2516, 1010, 26619, 1012, 1010, 1996, 1021, 1004, 1022, 20248, 1012, 1018, 1010, 1039, 1012, 2756, 1010, 2029, 1006, 2061, 2521, 2004, 1996, 2142, 2983, 2003, 4986, 1007, 1010, 2003, 21492, 2011, 1996, 2484, 1004, 2423, 10967, 2102, 1012, 2324, 1516, 2322, 1010, 2004, 2000, 6077, 1025, 7020, 1012, 2538, 1010, 2570, 1010, 2004, 2000, 5055, 1998, 4176, 2030, 18979, 11272, 2921, 1999, 21551, 1025, 1055, 1012, 2656, 1010, 2004, 2000, 21480, 2015, 1025, 1055, 1012, 2676, 1010, 2004, 2000, 7070, 12012, 2025, 2108, 2112, 1997, 2516, 2000, 4915, 1025, 1055, 1012, 2654, 1010, 2004, 2000, 5491, 1997, 2516, 2000, 4915, 1025, 1022, 1012, 2756, 1010, 2004, 2000, 17234, 1025, 1055, 1012, 2382, 1010, 2004, 2000, 2636, 1998, 3423, 5491, 1025, 1055, 1012, 2861, 1010, 2004, 2000, 17407, 1025, 7020, 1012, 3590, 1010, 3943, 1010, 2004, 2000, 3628, 1025, 7020, 1012, 4090, 1010, 3486, 1010, 2004, 2000, 21549, 1025, 1055, 1012, 4029, 1010, 2004, 2000, 5909, 1025, 1055, 1012, 4261, 1010, 2004, 2000, 3871, 3965, 1025, 7020, 1012, 4229, 1010, 4464, 1010, 2004, 2000, 10848, 2015, 1012, 1037, 3528, 1997, 14405, 26005, 16454, 18574, 1010, 2979, 2007, 1996, 2168, 4874, 1997, 17731, 1996, 18419, 1997, 1996, 3424, 4765, 2375, 1999, 2023, 3327, 1998, 4384, 2011, 10823, 5524, 1010, 1006, 5285, 1012, 4921, 1052, 1012, 22115, 1010, 1004, 1039, 1012, 1010, 1007, 2020, 21492, 2011, 1021, 1004, 20248, 1012, 1018, 1010, 1039, 1012, 2676, 1012, 1006, 1015, 1007, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 7020, 1012, 1015, 1010, 2676, 1012, 2156, 1054, 1012, 1054, 1012, 3044, 1010, 1015, 6203, 8002, 1005, 1055, 1039, 1012, 1039, 1012, 1054, 1012, 5179, 2487, 1012, 1006, 1045, 1007, 10819, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 7020, 1012, 2474, 19170, 4890, 1010, 2029, 2057, 2031, 2525, 2018, 6686, 2000, 5060, 1010, 2024, 1999, 2236, 12711, 2000, 11933, 2015, 1997, 2023, 6412, 2036, 1006, 1047, 1007, 1010, 2295, 2027, 2024, 2025, 10892, 7939, 20936, 23854, 2474, 19170, 15580, 1006, 1045, 1007, 1025, 1998, 2008, 2037, 7750, 2003, 1010, 1999, 2116, 3572, 1010, 7235, 1012, 1999, 2195, 12107, 1010, 2174, 1010, 2027, 2079, 2025, 3815, 1010, 2066, 2474, 19170, 4890, 2012, 2691, 2375, 1010, 2000, 1037, 24648, 1010, 2021, 2000, 1037, 28616, 3207, 4168, 27869, 2069, 1025, 1998, 2045, 2024, 2500, 1997, 2068, 2025, 23911, 3085, 2000, 1996, 2465, 2593, 1997, 24648, 2030, 28616, 3207, 4168, 27869, 1025, 2021, 19868, 2011, 4964, 21877, 10841, 6200, 2854, 12408, 2069, 1010, 8980, 3085, 1010, 1999, 1037, 12654, 2126, 1010, 2077, 1037, 3425, 1997, 1996, 3521, 1006, 1049, 1007, 1012, 2057, 2031, 2464, 2008, 2474, 19170, 4890, 2089, 2025, 2069, 2022, 3722, 1010, 2021, 4117, 2007, 6214, 1997, 12943, 17643, 21596, 1025, 2029, 2003, 2649, 1999, 2256, 2808, 2004, 3816, 1010, 7328, 1010, 2030, 8552, 2474, 19170, 4890, 1006, 1050, 1007, 1025, 1998, 2023, 2003, 2025, 2069, 1010, 2066, 3722, 2474, 19170, 4890, 1010, 10768, 7811, 6313, 1010, 2021, 2003, 24648, 1997, 1037, 2062, 18476, 2839, 1012, 2057, 2097, 3568, 2085, 5136, 1010, 1015, 1012, 2474, 19170, 4890, 1999, 1037, 13160, 1011, 2160, 1012, 1031, 2023, 2427, 1997, 11933, 1010, 2295, 2009, 3849, 2000, 2031, 1037, 3020, 3014, 1997, 8056, 2084, 3722, 2474, 19170, 4890, 1010, 2664, 2001, 2025, 2012, 2035, 5182, 2013, 1996, 2060, 2012, 2691, 2375, 1006, 1051, 1007, 1025, 4983, 2073, 2009, 2001, 5642, 2007, 1996, 25652, 1997, 4911, 1996, 2160, 2011, 2305, 1010, 1998, 2059, 2009, 3062, 2104, 2178, 6412, 1010, 26619, 1012, 1010, 2008, 1997, 20934, 10623, 28221, 1012, 2021, 5728, 1010, 2011, 2195, 4490, 1997, 3323, 1010, 1517, 1996, 2381, 1997, 2029, 2003, 2200, 13749, 18595, 13453, 2139, 28901, 2011, 1037, 4342, 3213, 1010, 2040, 6045, 2232, 3491, 2068, 2000, 2031, 6360, 13368, 2078, 2013, 2256, 8377, 1999, 3119, 1998, 6728, 9307, 5897, 1010, 1011, 1996, 5770, 1997, 11646, 2001, 2579, 1010, 1999, 2471, 2296, 6013, 1010, 2013, 2474, 19170, 15580, 2043, 5462, 1999, 1037, 2160, 1006, 1052, 1007, 1025, 2061, 2008, 1996, 3007, 6251, 1010, 2000, 2029, 2027, 2020, 3395, 1006, 1016, 1007, 1054, 1012, 1058, 1012, 2358, 1012, 2198, 1010, 1021, 1039, 1012, 1004, 1052, 1012, 27234, 1012, 1006, 1015, 1007, 2156, 1054, 1012, 1058, 1012, 27571, 2818, 1010, 1022, 1039, 1012, 1004, 1052, 1012, 26953, 1012, 1006, 1049, 1007, 6819, 3207, 2695, 1010, 3127, 2006, 12654, 20488, 1012, 1006, 1050, 1007, 1018, 1038, 2140, 1012, 4012, 1012, 23688, 1025, 9881, 1012, 1052, 1012, 1039, 1012, 1038, 1012, 1015, 1010, 10507, 1012, 3943, 1010, 4090, 1012, 1006, 1014, 1007, 9881, 1012, 1052, 1012, 1039, 1012, 1038, 1012, 1015, 1010, 1039, 1012, 4029, 1012, 1006, 1052, 1007, 2156, 26469, 2006, 18574, 1010, 18034, 1010, 1004, 1039, 1012, 1031, 2004, 2474, 19170, 15580, 1010, 2165, 3466, 1006, 1015, 1007, 1012, 1033, 2122, 4490, 1010, 2174, 1010, 2024, 2035, 16360, 9289, 2098, 1010, 1998, 2023, 4126, 2003, 2085, 12222, 2011, 2484, 1004, 2423, 10967, 2102, 1012, 1039, 1012, 5986, 1010, 7020, 1012, 3438, 1010, 6079, 1006, 1054, 1007, 1012, 2011, 1996, 2034, 1997, 2122, 4013, 5737, 1012, 1010, 9033, 5644, 1010, 2040, 6499, 22507, 4618, 8954, 1999, 2151, 13160, 1011, 2160, 1010, 2151, 11834, 9834, 1010, 2769, 1010, 2030, 7070, 3036, 2000, 1996, 3643, 1997, 2274, 7038, 2030, 2062, 1010, 4618, 2022, 20090, 2000, 18476, 14262, 5737, 8525, 3207, 2005, 7426, 2086, 1010, 2030, 2025, 2625, 2084, 2274, 2086, 1006, 1055, 1007, 1025, 2030, 2000, 2022, 8580, 1010, 2007, 2030, 2302, 2524, 4428, 1998, 14348, 21551, 1010, 2025, 17003, 2048, 2086, 1025, 1998, 2011, 1996, 2117, 1010, 1996, 2168, 7750, 2003, 3018, 2000, 3183, 6499, 22507, 4618, 8954, 1999, 1037, 13160, 1011, 2160, 2151, 11834, 9834, 1010, 2769, 2030, 7070, 3036, 1010, 1998, 4618, 2011, 19854, 2030, 5081, 2404, 2151, 2028, 1010, 2108, 2045, 2378, 1010, 1999, 20445, 3571, 1012, 1016, 1012, 2474, 19170, 15580, 1999, 3719, 1010, 16435, 2015, 1010, 4429, 1012, 2040, 6499, 22507, 4618, 8954, 5350, 2030, 21442, 14856, 4305, 4371, 1999, 2151, 6258, 1010, 19398, 2030, 4049, 1999, 2151, 4033, 2030, 3417, 1997, 4443, 2030, 11889, 1010, 2030, 2588, 2151, 28538, 2314, 2030, 5033, 1010, 2030, 1999, 2151, 3636, 2030, 6403, 7495, 2000, 2030, 20888, 2007, 2151, 2107, 4033, 1010, 3417, 1010, 2314, 1010, 2030, 5033, 1025, 1011, 2030, 2040, 4618, 8954, 2151, 5350, 2030, 21442, 14856, 4305, 4371, 2013, 1037, 8946, 1010, 16435, 1010, 2030, 21048, 5516, 2000, 2107, 4033, 1010, 3417, 1010, 2314, 1010, 5033, 1010, 3636, 1010, 2030, 6403, 1025, 1011, 2003, 20090, 2000, 1996, 2168, 29115, 2004, 2197, 3855, 1006, 1056, 1007, 1012, 1998, 1996, 2168, 29115, 2089, 2036, 2022, 3018, 2000, 3183, 6499, 22507, 4618, 20228, 20824, 2030, 8954, 2151, 2112, 1997, 2151, 2911, 2030, 6258, 1999, 12893, 1010, 2030, 18480, 1010, 2030, 15577, 1010, 2030, 3459, 2006, 5370, 1010, 2030, 2151, 5350, 1010, 21442, 14856, 4305, 4371, 1010, 2030, 4790, 1997, 2151, 2785, 2000, 2014, 7495, 1006, 1057, 1007, 1012, 1017, 1012, 1031, 2474, 19170, 4890, 2013, 1996, 2711, 1006, 1060, 1007, 1024, 2029, 2003, 2593, 2011, 9139, 11065, 1025, 2030, 2011, 2330, 1998, 6355, 6101, 1010, 2788, 2170, 13742, 1012, 1996, 15226, 1997, 9139, 11065, 2013, 1037, 1006, 1015, 1007, 6819, 3207, 10514, 2361, 1012, 1052, 1012, 13285, 1012, 1006, 1054, 1007, 1996, 3025, 8910, 2006, 2023, 2132, 1010, 4838, 1999, 1021, 1004, 1022, 20248, 1012, 1018, 1010, 1039, 1012, 2756, 1010, 1055, 1012, 2260, 1010, 1998, 1021, 2097, 1012, 1018, 1004, 1015, 10967, 2102, 1012, 1039 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]