kadirnar/qwen3-tokenized-Alhaitham · Datasets at Hugging Face

[ 151672, 2121, 3041, 438, 358, 2776, 7853, 11, 279, 1008, 66909, 614, 1012, 1398, 15486, 911, 697, 51879, 13, 151645, 151673, 151674, 151670, 152047, 156884, 160465, 167665, 169683, 174884, 179847, 153382, 157873, 159964, 166022, 168765, 176160, 177411, 153781, 159757, 160036, 167726, 170668, 174785, 179838, 154220, 159453, 162445, 164383, 169089, 174190, 176587, 153529, 159614, 163934, 166031, 170582, 172946, 179478, 155529, 155938, 160631, 164806, 170652, 173012, 179794, 152890, 158854, 161980, 164905, 170625, 172596, 177514, 153660, 156580, 163501, 166981, 170579, 173936, 179692, 152408, 158216, 160002, 167729, 169205, 174948, 180209, 154635, 156620, 163269, 167145, 169827, 173803, 180088, 154814, 158046, 161778, 166285, 171327, 176027, 180120, 154797, 157551, 160915, 166803, 168080, 172589, 176868, 154215, 158753, 161420, 164795, 170412, 174635, 178288, 152236, 156500, 160577, 165028, 168626, 176070, 178499, 152063, 156992, 160391, 164557, 169054, 176241, 177138, 154697, 158948, 160199, 165262, 170284, 173068, 179344, 152084, 156187, 162882, 164841, 170763, 174288, 177530, 152047, 159629, 162829, 168038, 171562, 173629, 177237, 153333, 156371, 163254, 166850, 169521, 173914, 177138, 154829, 156175, 163501, 164037, 170159, 172388, 176393, 154914, 158216, 162163, 167269, 168649, 174024, 178878, 155126, 157948, 160393, 166280, 168392, 173793, 177968, 154294, 158291, 160239, 167037, 170079, 174110, 178745, 153660, 159273, 161063, 166378, 172063, 174748, 176977, 154797, 158893, 162928, 165321, 169450, 175550, 176688, 152580, 157762, 160830, 164206, 170959, 176057, 176662, 152232, 158133, 163859, 166855, 169571, 173599, 178980, 155321, 159800, 160009, 165500, 169434, 174653, 177789, 152302, 159337, 163255, 167882, 168498, 175381, 176295, 153825, 158687, 162920, 165922, 170967, 174227, 176471, 153559, 158141, 160885, 167185, 171341, 175860, 177732, 152408, 156167, 161729, 168031, 171164, 173177, 176959, 153333, 156446, 163266, 167152, 171124, 174786, 178595, 154814, 156893, 161919, 167403, 168734, 176210, 178513, 152302, 159030, 160384, 167907, 169100, 173966, 178863, 154655, 157406, 162907, 166480, 169682, 173723, 180067, 153299, 158447, 160520, 165748, 168320, 176199, 176753, 154655, 159180, 160384, 165911, 168229, 172719, 177266, 155216, 159023, 161427, 164879, 170747, 175088, 178790, 152579, 158459, 161459, 165711, 168082, 174766, 177667, 154067, 156545, 160310, 164268, 168277, 173334, 179805, 155529, 159168, 163776, 167030, 171017, 175152, 180197, 153559, 159424, 160711, 165526, 169442, 172375, 177016, 152796, 157003, 162021, 164626, 168271, 175236, 180091, 153638, 159778, 162841, 164536, 170761, 173401, 178272, 152240, 157801, 163560, 167267, 170112, 175977, 179276, 151983, 158090, 160438, 166115, 168849, 174011, 177914, 152302, 156559, 162166, 164367, 169221, 174435, 178892, 152261, 157184, 161111, 166483, 171261, 174109, 179458, 155680, 156760, 161153, 165775, 171908, 173581, 178377, 152884, 155932, 160060, 167242, 171290, 175560, 179410, 154558, 155830, 162382, 167149, 171085, 173962, 178625, 152735, 158078, 161434, 166544, 168134, 176177, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 785, 1899, 1283, 16577, 11, 728, 1182, 311, 422, 679, 323, 1430, 311, 7627, 1995, 389, 279, 29367, 6540, 47639, 594, 79502, 13, 1416, 1340, 702, 902, 1995, 11, 3783, 1378, 2849, 323, 5486, 1059, 1549, 13, 151645, 151673, 151674, 151670, 155273, 159307, 162606, 164183, 170915, 174973, 179650, 153389, 158124, 162517, 166531, 171820, 174776, 177002, 153226, 156639, 163656, 167178, 169843, 174500, 176663, 152408, 155864, 160828, 166354, 168326, 174878, 177564, 153273, 156066, 162067, 165626, 168705, 174975, 176440, 155374, 157644, 160912, 165249, 168410, 175849, 177868, 155614, 158270, 163587, 164864, 168575, 173445, 179789, 152217, 159218, 160728, 165891, 168521, 172556, 180256, 155374, 156933, 161200, 164067, 171612, 172363, 178069, 151898, 157192, 161520, 167196, 169502, 173105, 179655, 153842, 157148, 161220, 164952, 171561, 172828, 176671, 154094, 158621, 160287, 164873, 170183, 173998, 179526, 155083, 158876, 161198, 164580, 170443, 173636, 176707, 153889, 155828, 160714, 165916, 169671, 173120, 176433, 152450, 155830, 162327, 164885, 171762, 172318, 176684, 153668, 158759, 160809, 167102, 170640, 173571, 178736, 154682, 156888, 162750, 165274, 170496, 175575, 177444, 152230, 155907, 162931, 164553, 171442, 173068, 179263, 155519, 156182, 161930, 166553, 171468, 173178, 178412, 154814, 159217, 161554, 167691, 170604, 173344, 179840, 153831, 159045, 160246, 167060, 170723, 172641, 179154, 154724, 158753, 162321, 166019, 170644, 175233, 177995, 155175, 158949, 159948, 165147, 170460, 174443, 176753, 152985, 156732, 160356, 168029, 168351, 174377, 179430, 155645, 156135, 162323, 167641, 170226, 173350, 180153, 153525, 157345, 163063, 165301, 171164, 173308, 180331, 154094, 159059, 160724, 164820, 169108, 172417, 177412, 153840, 156820, 162299, 164980, 170526, 172957, 177086, 152302, 158053, 163897, 164310, 171726, 173685, 179113, 153420, 157406, 160075, 167966, 168547, 176220, 177814, 153674, 158632, 162151, 167515, 170284, 176223, 177609, 152200, 156362, 163955, 167154, 169241, 175354, 179649, 153842, 156619, 162554, 166760, 169069, 175509, 179715, 153831, 159363, 161082, 165700, 170916, 173602, 176416, 154600, 158199, 160199, 164584, 169044, 174639, 177976, 152686, 158133, 161738, 165483, 171660, 175303, 177445, 151872, 156262, 163837, 167056, 171843, 172384, 179312, 153240, 157795, 161926, 165296, 170549, 175964, 179123, 155529, 156559, 163387, 167185, 169642, 173391, 178780, 155647, 158939, 163783, 166958, 171497, 172328, 180045, 152486, 155917, 161100, 167731, 171569, 174848, 177543, 153900, 157693, 162129, 166291, 171561, 173231, 176911, 154150, 156287, 163337, 167371, 168676, 175739, 177281, 154517, 158275, 160532, 167459, 169867, 175770, 176701, 153240, 159277, 161141, 163974, 170903, 174303, 180332, 153226, 156229, 162151, 167644, 171146, 172852, 180347, 153660, 159039, 163033, 167793, 170940, 172692, 179327, 155651, 157600, 160280, 166392, 168077, 174253, 176623, 152686, 155917, 160576, 167245, 170792, 172618, 177521, 155321, 157701, 162530, 165161, 171519, 172906, 177446, 154822, 159068, 160241, 166581, 170641, 175538, 178005, 153900, 159170, 163921, 168031, 168932, 175022, 180179, 155651, 159596, 160815, 166228, 170038, 174436, 178549, 152425, 157573, 161978, 167655, 171774, 175723, 179086, 153525, 156178, 161157, 166577, 170727, 175018, 178962, 155194, 157573, 160598, 164845, 168470, 175998, 179940, 155462, 159596, 163398, 165857, 170930, 173271, 179243, 154829, 158627, 163708, 166848, 169977, 175426, 179090, 151872, 159227, 163595, 165296, 171700, 175379, 179440, 152408, 156531, 163645, 165688, 169221, 176241, 178356, 155194, 159293, 160955, 166027, 170470, 174371, 178424, 155511, 159046, 161796, 167556, 171438, 174824, 177152, 153120, 158125, 161788, 164638, 168932, 173045, 178049, 153825, 158845, 162671, 165823, 171740, 172893, 179156, 153660, 156200, 160919, 166638, 168462, 174240, 178731, 154395, 157573, 160275, 168031, 169977, 174037, 179863, 152200, 155917, 162827, 165383, 171755, 175618, 178966, 153660, 159372, 161605, 166100, 171124, 174863, 179295, 154551, 156084, 160102, 167243, 168907, 172980, 178009, 152671, 157656, 161625, 164614, 170472, 172913, 178017, 151725, 158571, 161583, 167466, 170350, 175063, 178487, 154551, 156983, 161103, 165134, 169527, 174183, 178102, 154916, 157626, 163003, 164981, 169176, 175114, 178921, 155405, 157691, 161956, 167492, 170477, 174421, 178377, 154682, 156630, 162042, 166470, 171794, 176050, 179324, 154916, 156888, 161706, 164444, 170640, 172636, 180136, 154682, 158152, 159883, 165080, 169149, 173886, 180116, 154517, 156873, 163620, 166929, 168578, 173220, 179301, 154413, 158911, 162103, 165165, 171199, 174214, 179919, 152232, 157801, 160163, 167195, 168527, 174389, 176794, 153151, 157776, 163553, 164525, 170711, 172770, 176875, 153382, 159293, 162048, 167662, 170226, 172869, 179354, 154797, 158966, 163378, 166170, 171702, 172694, 177674, 154822, 158634, 160650, 166664, 171356, 175075, 178531, 152486, 156182, 161749, 166306, 171318, 174223, 179311, 155374, 156619, 160717, 166746, 170682, 176038, 177071, 153660, 158729, 163423, 164168, 171204, 175625, 176838, 155647, 159477, 163100, 164083, 170334, 172788, 178685, 152425, 155884, 162531, 164830, 172155, 174991, 177814, 154413, 158911, 162740, 166585, 169281, 172956, 179595, 151915, 156848, 162798, 165951, 170729, 174378, 180103, 154273, 158309, 161604, 167402, 169970, 172530, 179814, 152851, 158782, 163443, 165540, 171252, 174675, 178218, 154200, 159506, 161211, 167516, 169979, 174391, 176437, 154666, 158785, 159904, 167630, 168876, 175939, 180035, 154682, 159506, 162485, 165474, 168495, 174324, 178985, 153513, 157281, 161924, 167236, 170724, 173809, 178257, 154810, 157779, 160614, 164386, 169108, 175806, 177958, 152985, 159558, 162912, 164182, 170487, 173540, 178882, 153240, 157558, 162782, 167960, 170328, 175860, 179301, 152047, 156018, 160356, 166798, 168491, 173121, 177837, 152225, 158356, 162429, 166829, 168342, 173833, 179576, 152408, 157054, 162150, 165712, 172063, 175589, 178311, 155678, 158224, 161505, 165309, 170512, 173576, 178252, 152232, 159459, 160003, 167124, 170682, 173261, 176376, 151701, 156347, 163425, 166493, 170700, 174268, 178790, 155709, 156336, 162917, 167487, 170436, 174624, 176888, 154774, 159070, 161184, 165736, 171362, 173686, 179301, 155126, 159438, 163518, 164253, 168458, 172682, 176419, 155519, 155930, 162770, 166984, 169695, 175734, 178382, 152236, 157671, 161818, 167222, 169988, 173599, 179221, 155083, 156559, 163315, 166382, 168070, 173625, 177563, 154054, 157902, 163069, 166982, 171005, 172601, 177487, 152295, 156259, 160419, 164327, 171404, 173667, 177267, 152200, 156287, 163333, 166645, 168491, 173980, 179613, 155381, 159477, 162160, 164822, 169539, 174446, 178029, 152985, 159146, 161557, 167927, 169777, 173017, 178874, 154517, 158855, 160999, 165301, 172063, 176135, 178532, 154395, 157750, 162430, 166666, 168847, 172552, 178779, 155659, 159502, 160239, 164425, 170012, 174683, 180027, 152038, 158982, 161592, 165422, 169149, 172269, 177063, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 40, 1513, 944, 1744, 8082, 1630, 6876, 911, 429, 13, 1416, 566, 1030, 29215, 1101, 264, 2421, 803, 2849, 1573, 15358, 11, 358, 1035, 614, 2669, 39107, 13, 151645, 151673, 151674, 151670, 152869, 155950, 161974, 166710, 170378, 175818, 177207, 152425, 159507, 161222, 166259, 172105, 174745, 180073, 151958, 156355, 163887, 166798, 170919, 174948, 178755, 154342, 157780, 159912, 167564, 170966, 174366, 179785, 152408, 157404, 163461, 167980, 168705, 176226, 177859, 153749, 159725, 162723, 165412, 169876, 175670, 178074, 152286, 156385, 161429, 167091, 170179, 173143, 178310, 155529, 155830, 163539, 164711, 169977, 175823, 177144, 152686, 159770, 162660, 165642, 169196, 173960, 178576, 154498, 156257, 161375, 167775, 170421, 175949, 180324, 152503, 157219, 161776, 165741, 172086, 175974, 179656, 153831, 158632, 161615, 165147, 168239, 174545, 178728, 153080, 159088, 162106, 164153, 171999, 174558, 178716, 152686, 156362, 163229, 165471, 169957, 175690, 180194, 154859, 158388, 160278, 165946, 170930, 174621, 178450, 152331, 156940, 162030, 165722, 171178, 175948, 177111, 155294, 156378, 161056, 165946, 168848, 176062, 178726, 154791, 159050, 162008, 165574, 171585, 175019, 176291, 154870, 159374, 161917, 164205, 168313, 172381, 178098, 153273, 159374, 160049, 167463, 169327, 173108, 179679, 152057, 158845, 161664, 167859, 168212, 174108, 180058, 155686, 158309, 163111, 164358, 168495, 175762, 177818, 153668, 156240, 163116, 165420, 170572, 173070, 178495, 155731, 159069, 163211, 164893, 169247, 175338, 177166, 154795, 157925, 162824, 164836, 171965, 176032, 179780, 152885, 159099, 163315, 165197, 168536, 173395, 177914, 153623, 157866, 162058, 164370, 168145, 174183, 179301, 152047, 156943, 161738, 165177, 168609, 175701, 179561, 153080, 156389, 162258, 164702, 170402, 172564, 177821, 154814, 157770, 161327, 167272, 168365, 174462, 179950, 154758, 159312, 161084, 164334, 169815, 174765, 180013, 152232, 157588, 163221, 164753, 169653, 176185, 178617, 152337, 157148, 160372, 167142, 169654, 174776, 179692, 151701, 158899, 161366, 165717, 169319, 172664, 178014, 155529, 157099, 161275, 166136, 169149, 173648, 179611, 152425, 159107, 161493, 167865, 168541, 174848, 177181, 152082, 159602, 163835, 166922, 169611, 173699, 176709, 152382, 157801, 163214, 167265, 171352, 172376, 180342, 153749, 157492, 160033, 166166, 168392, 175676, 179835, 153151, 157373, 161372, 167200, 171268, 175696, 176793, 151900, 158422, 163269, 166110, 171455, 172792, 178196, 155529, 158592, 159891, 164037, 170938, 173109, 179977, 155234, 158019, 160399, 164272, 168609, 174738, 179243, 155529, 156881, 160734, 163974, 169387, 173228, 179932, 155374, 156679, 161314, 164409, 169343, 173173, 178667, 155606, 156378, 163822, 167692, 169551, 175253, 177027, 153781, 158192, 161926, 166419, 170959, 172810, 176877, 154196, 158893, 161008, 167865, 169524, 172917, 180273, 153725, 158678, 161538, 164145, 170977, 175832, 176295, 152646, 158124, 162113, 166128, 171748, 174255, 176599, 154866, 158029, 160085, 163994, 171166, 172748, 176791, 155645, 155999, 162850, 166498, 171862, 174898, 179322, 151935, 157483, 161129, 166408, 168846, 172961, 177408, 154964, 158531, 163286, 164504, 170572, 172749, 178798, 155731, 159115, 162146, 165778, 168474, 173294, 178009, 154321, 157613, 160199, 167722, 170442, 172410, 177221, 152686, 157192, 160152, 166662, 171218, 173150, 177141, 155666, 157492, 160143, 165514, 169089, 174917, 177345, 155606, 158643, 160005, 165207, 170962, 172344, 178320, 153444, 156580, 161714, 165953, 169957, 174119, 178439, 155461, 158216, 160107, 167196, 169619, 172364, 178211, 153546, 158247, 162251, 166908, 170369, 174539, 179591, 154427, 157020, 162825, 167472, 169480, 173663, 179512, 152646, 156417, 160748, 166122, 168712, 175526, 176637, 154395, 158771, 163246, 167768, 171738, 174225, 176659, 155126, 157846, 163410, 165169, 170762, 173380, 179710, 151701, 159241, 161730, 167505, 170921, 175304, 178323, 154427, 157344, 162036, 167275, 168207, 173861, 177310, 153248, 159762, 160500, 165060, 170579, 175351, 177218, 154395, 157032, 160129, 164818, 168664, 173888, 178472, 153610, 155829, 162160, 164824, 169555, 176221, 176695, 154870, 156738, 160711, 164928, 171645, 173120, 176293, 154545, 158502, 163111, 164901, 169328, 175938, 179843, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 15216, 220, 63957, 1075, 279, 7040, 949, 374, 2669, 916, 13, 358, 3278, 5274, 279, 37711, 311, 498, 678, 13, 151645, 151673, 151674, 151670, 155741, 158490, 163227, 165009, 168705, 172410, 180248, 152493, 158090, 161946, 167020, 170549, 173035, 178958, 152425, 159564, 160482, 164702, 171457, 172915, 178146, 154964, 159558, 161911, 165466, 168683, 172236, 177023, 152450, 159331, 162495, 165530, 168094, 172729, 179458, 154826, 155907, 161365, 166052, 170256, 172690, 177269, 155737, 159677, 163237, 165822, 171781, 175962, 179687, 153055, 159493, 162866, 164981, 168579, 175117, 177289, 155166, 159694, 161312, 165891, 168098, 173970, 180256, 153151, 156630, 162173, 166703, 168783, 175194, 176355, 154003, 156272, 162122, 165706, 170068, 175550, 177208, 154682, 158785, 162039, 166878, 171962, 175025, 177850, 155737, 159493, 163293, 166978, 170810, 173033, 177438, 153668, 157296, 160199, 164893, 169672, 173612, 179434, 155737, 156207, 161641, 165446, 170513, 173315, 177722, 155148, 156909, 160769, 166947, 169176, 176062, 177696, 152548, 159050, 161795, 165420, 170703, 175154, 178484, 154558, 158792, 163335, 167470, 169271, 174577, 177472, 151701, 156022, 160053, 167846, 168875, 175961, 180191, 154089, 158790, 160642, 165614, 169778, 172219, 176997, 153749, 157449, 161783, 165601, 168318, 174293, 177843, 152112, 159629, 161598, 167911, 171866, 174401, 178843, 154859, 156652, 163128, 164403, 171935, 175822, 179532, 154164, 158059, 160918, 166168, 169861, 174115, 176773, 154054, 158261, 161346, 168026, 170781, 174305, 176455, 153128, 156639, 160267, 166696, 170328, 175063, 179925, 154204, 158043, 161987, 167330, 168075, 176230, 177882, 152408, 158865, 161425, 167846, 171768, 175833, 177408, 155488, 155972, 161155, 164333, 170260, 172312, 178388, 155374, 159225, 163227, 165407, 169062, 173997, 177824, 153657, 157068, 163658, 164698, 169762, 174360, 176886, 153204, 156104, 161999, 166031, 169552, 174896, 177878, 152408, 158760, 163045, 167010, 168320, 174289, 179827, 154914, 156028, 163882, 164524, 169968, 174862, 179951, 154196, 157669, 160282, 166941, 168218, 173295, 176513, 152200, 156670, 160151, 167667, 168800, 175278, 177615, 153420, 159030, 160895, 167290, 171740, 173536, 179593, 152232, 159452, 160903, 166875, 168590, 175899, 179152, 152836, 157835, 162986, 167917, 169699, 172664, 178210, 152686, 156174, 162655, 165794, 169221, 175491, 176989, 153581, 155838, 162944, 166731, 171993, 173383, 177696, 155081, 156338, 161502, 166252, 168936, 175023, 176812, 152899, 157730, 160481, 164764, 170394, 174303, 179822, 152069, 155936, 161586, 165498, 171357, 174778, 178104, 154379, 156312, 161956, 167492, 168528, 174281, 176265, 154795, 157409, 160257, 167618, 170002, 173626, 179544, 151749, 157409, 163396, 166442, 170813, 173550, 179213, 151966, 157925, 161850, 168051, 170882, 174359, 180258, 155715, 157598, 161153, 167170, 169672, 172213, 179996, 155686, 158948, 161166, 165353, 169979, 174017, 179169, 155385, 159483, 161023, 166310, 168328, 174564, 178939, 153362, 158462, 163943, 164332, 171625, 175897, 178220, 153749, 159216, 161442, 165874, 170771, 174565, 178161, 152529, 156321, 160017, 166869, 168934, 174717, 176625, 155606, 155913, 163370, 167617, 168422, 174346, 178873, 154054, 155782, 162033, 165999, 168566, 172316, 179743, 152200, 156097, 161863, 166108, 170735, 174929, 176645, 154414, 157902, 160624, 165387, 169977, 173283, 180300, 153152, 158154, 162221, 167019, 170183, 174404, 179923, 152286, 156028, 163340, 164183, 169663, 173903, 179871, 152125, 159565, 162887, 164938, 168264, 175840, 178310, 153559, 158511, 160499, 167985, 172144, 175436, 176275, 155529, 157179, 160691, 167668, 170314, 175628, 179624, 154242, 158118, 160203, 166119, 168914, 176042, 179782, 152425, 157573, 162378, 166430, 168070, 172675, 177425, 154814, 155930, 160713, 166334, 169851, 176000, 177483, 154196, 158011, 160938, 165921, 168666, 175550, 178749, 153498, 157912, 161930, 167333, 168645, 175734, 176270, 152004, 159655, 162784, 164057, 169060, 175445, 176829, 152450, 158856, 161388, 165070, 170681, 174139, 177787, 152281, 159579, 163041, 167007, 170672, 173781, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 13159, 3498, 498, 2299, 264, 11298, 2348, 13637, 1630, 304, 419, 1142, 11, 498, 3003, 1083, 5558, 697, 4938, 13, 151645, 151673, 151674, 151670, 154448, 157806, 163153, 165415, 171519, 176250, 177054, 152047, 157295, 162595, 167204, 170607, 173642, 177094, 153123, 156519, 161692, 164302, 169827, 172523, 178149, 155678, 156621, 162806, 164335, 169480, 175949, 178869, 152408, 156816, 160065, 165365, 171512, 172820, 179034, 154914, 158595, 163228, 166889, 169480, 175462, 179635, 152817, 158291, 161007, 165471, 168932, 175351, 178913, 155519, 157219, 161527, 166883, 169259, 175075, 179522, 152047, 156675, 160072, 164698, 168075, 175782, 177406, 155126, 157444, 162894, 165758, 171181, 173182, 179103, 154189, 156458, 162199, 167504, 168849, 174628, 178893, 153197, 157999, 162685, 164247, 169345, 174708, 178380, 154859, 159019, 161613, 165569, 168932, 173545, 176911, 153749, 158916, 162066, 167716, 171360, 175465, 180273, 154984, 157682, 160300, 166517, 169710, 172476, 179662, 152408, 158650, 161387, 165482, 171366, 174028, 177292, 151701, 157607, 160810, 165723, 169359, 173623, 179932, 155264, 157214, 161536, 166083, 169146, 175906, 176324, 153204, 157986, 161098, 165894, 168800, 176118, 178375, 153362, 158586, 161313, 164779, 171140, 174229, 179923, 153559, 155890, 163854, 167668, 171765, 173747, 177697, 153197, 156908, 161814, 167624, 168958, 173397, 177882, 154189, 156385, 160283, 164677, 168826, 173412, 177902, 152577, 156118, 160287, 167335, 171561, 173801, 179800, 154724, 159273, 162669, 167531, 168757, 172869, 176999, 155529, 159300, 161282, 164764, 170007, 173672, 176464, 154432, 156639, 161515, 165667, 168849, 173821, 178944, 155500, 156378, 163017, 165005, 169259, 175171, 178637, 155529, 157099, 160192, 164277, 168767, 174684, 176859, 153084, 158592, 162774, 164399, 169911, 174278, 176658, 154775, 157568, 160265, 164764, 169136, 176202, 177647, 152047, 157623, 162466, 166562, 170204, 174754, 178061, 155540, 155948, 161563, 167473, 168332, 173685, 177540, 155680, 157052, 163411, 165134, 169164, 174888, 176267, 155121, 156244, 160499, 164926, 170752, 174694, 176999, 153530, 158504, 161200, 167345, 169672, 172841, 178833, 153668, 158674, 163364, 165436, 170229, 172927, 177315, 155117, 156240, 161797, 167291, 168591, 172207, 176587, 154758, 158026, 161996, 168031, 170204, 176229, 176661, 152027, 157483, 160238, 167051, 170966, 175772, 179775, 154227, 155891, 161682, 166560, 169777, 175817, 177947, 153163, 157938, 163242, 164027, 168609, 174689, 178450, 151938, 158052, 162924, 165096, 170000, 173575, 179520, 155273, 159390, 160099, 165134, 169922, 173326, 179788, 154454, 157344, 161334, 164308, 171600, 174995, 179912, 152545, 156613, 160003, 164074, 168468, 172804, 178805, 154864, 158180, 160044, 167756, 168841, 175689, 177732, 152286, 155927, 159932, 165319, 170108, 173622, 177601, 152845, 159227, 163619, 167581, 169241, 173391, 177831, 154432, 159438, 161128, 165667, 168545, 174000, 180089, 154150, 159066, 162385, 164415, 171519, 172393, 176424, 155052, 157600, 163747, 167721, 171861, 175567, 179106, 154150, 157341, 159958, 164913, 171561, 172776, 179397, 154512, 159649, 160192, 164119, 172045, 172548, 177049, 153620, 158427, 163102, 166922, 168765, 175707, 179503, 154569, 158160, 161159, 167049, 170998, 173765, 177538, 154419, 159054, 163111, 166062, 168151, 176030, 179537, 155660, 158384, 163780, 164279, 168134, 175761, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3983, 419, 374, 1083, 1039, 6012, 13, 151645, 151673, 151674, 151670, 154829, 157740, 160313, 165574, 168470, 174866, 179262, 153581, 156589, 161947, 164220, 168984, 175340, 177517, 152577, 157489, 162239, 165387, 168927, 172441, 177365, 153382, 156334, 160855, 167730, 168455, 176053, 177552, 153288, 156343, 161909, 165682, 169662, 173878, 176332, 154042, 158743, 161102, 165018, 171313, 175239, 180339, 154682, 158082, 163552, 165367, 169822, 173422, 176989, 154171, 158225, 161506, 165070, 169872, 174542, 179347, 155606, 156681, 162325, 166541, 168578, 173249, 177871, 153749, 156347, 161926, 165184, 168566, 172618, 177150, 154420, 158627, 161136, 164559, 170333, 176001, 177156, 154171, 159306, 161604, 167927, 169359, 173470, 177840, 153197, 159348, 161054, 166646, 169777, 175992, 176323, 152686, 157120, 159882, 164820, 169296, 174190, 177422, 153559, 157519, 161038, 167997, 169632, 173795, 176518, 155321, 156182, 162894, 166083, 168138, 176027, 179946, 154150, 157419, 161112, 166656, 170421, 175824, 177709, 155342, 156188, 160502, 164971, 168422, 174138, 179134, 154413, 157237, 161224, 164183, 170752, 172320, 176567, 152232, 158040, 163340, 165633, 168218, 173948, 176387, 153623, 159767, 162764, 167970, 169014, 175940, 176331, 152705, 156689, 161966, 164876, 169445, 176085, 179956, 151701, 159743, 161335, 166390, 169631, 176065, 176767, 153889, 156288, 160615, 164451, 171207, 172225, 179573, 152281, 156473, 161463, 165041, 169799, 175926, 178882, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2403, 279, 15269, 927, 596, 11811, 614, 862, 96714, 311, 279, 39236, 10812, 323, 279, 10406, 336, 3473, 20664, 525, 35512, 448, 678, 20853, 315, 1251, 13, 1084, 594, 279, 4727, 882, 369, 458, 97735, 13, 151645, 151673, 151674, 151670, 151967, 157806, 161626, 164761, 170652, 172782, 178045, 155168, 159532, 161377, 165623, 168423, 175147, 177806, 154814, 156906, 160176, 165645, 170097, 174644, 179567, 152461, 157006, 163853, 164996, 168452, 172949, 179582, 155741, 157863, 162770, 164529, 168423, 172699, 179753, 154222, 158046, 161138, 165903, 171468, 173439, 179152, 152200, 157938, 161645, 166460, 171777, 175957, 177414, 153332, 159055, 163486, 165526, 168517, 173118, 177154, 153830, 159867, 161459, 167627, 168650, 175659, 176802, 152686, 159273, 162420, 167117, 168205, 173949, 176401, 155606, 158447, 160344, 166014, 172137, 174715, 180027, 153296, 159480, 160265, 167155, 170898, 172191, 177285, 152232, 156239, 160898, 166992, 168527, 172772, 178542, 153559, 156558, 162427, 165411, 170733, 174414, 178310, 153204, 158899, 160615, 166083, 168299, 173896, 176935, 154873, 157464, 161781, 166531, 169959, 172601, 177970, 153053, 157076, 161926, 165916, 168800, 173951, 177576, 155529, 159578, 163067, 167330, 168126, 173247, 176426, 154724, 157976, 160615, 165858, 170883, 175122, 180000, 154414, 158982, 161302, 167522, 170743, 175086, 179235, 154448, 156888, 160135, 164689, 170563, 173988, 177519, 154746, 159438, 162643, 167786, 171755, 173113, 176645, 152302, 157420, 163410, 165512, 171519, 172708, 177461, 155519, 158291, 162483, 164820, 170226, 173950, 178772, 153169, 155782, 162038, 167800, 169604, 172708, 177193, 152875, 159388, 160053, 165253, 172011, 172196, 176507, 154448, 155830, 160859, 167168, 169228, 172489, 178632, 153562, 156495, 161276, 166273, 170266, 175809, 178306, 152200, 156287, 160473, 165104, 170579, 174186, 178548, 155427, 159068, 162751, 165577, 171458, 173135, 178578, 155678, 156385, 163896, 166921, 170771, 174555, 179418, 153559, 159390, 161069, 165812, 170290, 175586, 177792, 155511, 157892, 161119, 166898, 170287, 172771, 176519, 152686, 159458, 161249, 165444, 168884, 172390, 180116, 154047, 159012, 161026, 167491, 170318, 175575, 178679, 155427, 156638, 162493, 164536, 171076, 174050, 178399, 153245, 158040, 163272, 165001, 168492, 174303, 178113, 152450, 156226, 160779, 165530, 168141, 173414, 176265, 152787, 157088, 163146, 165408, 170513, 174461, 177677, 154858, 156937, 162073, 167492, 172040, 173441, 178377, 154032, 159493, 163396, 165784, 170200, 172753, 179698, 153226, 157106, 163896, 166934, 171073, 172585, 179199, 152047, 156943, 162202, 167159, 170443, 173813, 178053, 152138, 158084, 160749, 166633, 171611, 172487, 180201, 152869, 158523, 163444, 167943, 171459, 175421, 179112, 152217, 157715, 163554, 166594, 172152, 175636, 176538, 153864, 158541, 160098, 164710, 171532, 175568, 179380, 154448, 156645, 161138, 167835, 171458, 173815, 179714, 153537, 158137, 163387, 164666, 172125, 175169, 178412, 153226, 158381, 161884, 165741, 171675, 175960, 179163, 154943, 156591, 161152, 165723, 172116, 176160, 177782, 153802, 158148, 162042, 167028, 169093, 173368, 177938, 153842, 159023, 163002, 164060, 168291, 172251, 177957, 152686, 159725, 162558, 166155, 169842, 175000, 180079, 155273, 159012, 160862, 164183, 171322, 173603, 178034, 152200, 158893, 162457, 167020, 172076, 172775, 179883, 153035, 159506, 163814, 167701, 168412, 173955, 177076, 152875, 158546, 161808, 165917, 170023, 175713, 176401, 154829, 158601, 161585, 166254, 170771, 173181, 178616, 154220, 158883, 159911, 164516, 168855, 173938, 180153, 153080, 158724, 160998, 165964, 168848, 172994, 176496, 154655, 159785, 160994, 167801, 171201, 174255, 179943, 154448, 159550, 160201, 166081, 170422, 173451, 178304, 154814, 157623, 160597, 165827, 171975, 175704, 176621, 153781, 158566, 159895, 165857, 172076, 172516, 177095, 155273, 158141, 160067, 165484, 169707, 174615, 179698, 152911, 156646, 163862, 164393, 168205, 174125, 176260, 155273, 156755, 161944, 168044, 170266, 175660, 177861, 154822, 157641, 163440, 165827, 171128, 175284, 178261, 155374, 157758, 159996, 167304, 171787, 176020, 178459, 152701, 156369, 161471, 166951, 170089, 173190, 180309, 155516, 159574, 160201, 164987, 171166, 172601, 177970, 152224, 156639, 163886, 165600, 170716, 174501, 178959, 152297, 156376, 161196, 164919, 170705, 173735, 177125, 152897, 156357, 162961, 165682, 170834, 172749, 179625, 154858, 155949, 160402, 164773, 170775, 175684, 178976, 154666, 158933, 161026, 164878, 170229, 172211, 177696, 151966, 158240, 162829, 164878, 170790, 172738, 177166, 153327, 157995, 160677, 167389, 171338, 172965, 177890, 154858, 159752, 162468, 167715, 168983, 174529, 179780, 154963, 156931, 162866, 167315, 169187, 174786, 178920, 152047, 159783, 162765, 165421, 171166, 173573, 179612, 153382, 159663, 162628, 164852, 170428, 172213, 179556, 154976, 158689, 159941, 164616, 170068, 173050, 178110, 153657, 158148, 163911, 167649, 171510, 172318, 179501, 154189, 158815, 162111, 167430, 171103, 173531, 176516, 155374, 158977, 161008, 166502, 170158, 173955, 180272, 155647, 156538, 160154, 165040, 169873, 174260, 178717, 154235, 155859, 162578, 164233, 169795, 175941, 176269, 155753, 159534, 163357, 165810, 170512, 174785, 176394, 154427, 157256, 162529, 164873, 169544, 172604, 176616, 153842, 159460, 160308, 164638, 170314, 174729, 179632, 154036, 157630, 160764, 167037, 169387, 175615, 176853, 154305, 156659, 162112, 164105, 168239, 176036, 179470, 152893, 158291, 161065, 165747, 168964, 174205, 178856, 154614, 157924, 160889, 164814, 168876, 174249, 178640, 154257, 158896, 162675, 164463, 168329, 174916, 180219, 154814, 158402, 160878, 166771, 172071, 175559, 179469, 155464, 156982, 159903, 167436, 168426, 174227, 177584, 153842, 158406, 161309, 167172, 169618, 175035, 177286, 152232, 159414, 163266, 165465, 171078, 176022, 179578, 155748, 157099, 160542, 164764, 171932, 175849, 178399, 155675, 158473, 163119, 167966, 171841, 174599, 176927, 153529, 156780, 161405, 166193, 170558, 172235, 177216, 155113, 156648, 160855, 164268, 169028, 172982, 176307, 152281, 158329, 159881, 167007, 170672, 173781, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3862, 594, 4302, 311, 387, 18514, 911, 13, 21149, 315, 419, 438, 458, 14250, 11618, 13, 151645, 151673, 151674, 151670, 155342, 158832, 160032, 164864, 171366, 173340, 179877, 154395, 158886, 162778, 167811, 171765, 175980, 179863, 155529, 156302, 161662, 166627, 169642, 172599, 179346, 152408, 158166, 162628, 165655, 170772, 174071, 179268, 154724, 157657, 162691, 164059, 169153, 174544, 179116, 152577, 157873, 161116, 165669, 169026, 172578, 176484, 153382, 158417, 163895, 166688, 171327, 173915, 178792, 152686, 157573, 162021, 164844, 171224, 172359, 177100, 153525, 159119, 160017, 167308, 169749, 176018, 179956, 153333, 157003, 163561, 167865, 170468, 175021, 176697, 154517, 156681, 162764, 166507, 168591, 172433, 180280, 155437, 159277, 162067, 167048, 170234, 172725, 178465, 152232, 158063, 162360, 166979, 169256, 172597, 176813, 153080, 156032, 160999, 165485, 168811, 173554, 176441, 153660, 159012, 161587, 167439, 168098, 176098, 179933, 154395, 155782, 163708, 166653, 169861, 173371, 177364, 155321, 155976, 161804, 165659, 171738, 175818, 180295, 155519, 157286, 162850, 166524, 171992, 173861, 178919, 152577, 158753, 160674, 165697, 171042, 173047, 179549, 152909, 157999, 162869, 167660, 170341, 173880, 177393, 153288, 155963, 160355, 165688, 170288, 172483, 180256, 152063, 155830, 160058, 167326, 168238, 174635, 177891, 153668, 155885, 161736, 164128, 168427, 174281, 176265, 153861, 156959, 163396, 165822, 170366, 174281, 177646, 153668, 156482, 161726, 164396, 168427, 174645, 178377, 153686, 159367, 161993, 166052, 168941, 174582, 178625, 152094, 155950, 162839, 167219, 172060, 173758, 180219, 155606, 159677, 161667, 166564, 169272, 173626, 179568, 153749, 156320, 160901, 166609, 172035, 175336, 177456, 155614, 156122, 162471, 164807, 170530, 174446, 179953, 154810, 158977, 161527, 165961, 168201, 174973, 180137, 153240, 156278, 160131, 166543, 171327, 173627, 176558, 155529, 159293, 160909, 166875, 169387, 174321, 179337, 152408, 158291, 162932, 166738, 169708, 172561, 176890, 155374, 156842, 162160, 166669, 170371, 174752, 176471, 153151, 159314, 160941, 167283, 170615, 175312, 177339, 155374, 158291, 163484, 166977, 170953, 173075, 176534, 152302, 158046, 160280, 167317, 169033, 173006, 176353, 153702, 157470, 161533, 167222, 171748, 172228, 177707, 152408, 159039, 161066, 166692, 171765, 175720, 180199, 155126, 158113, 161451, 164672, 168754, 172306, 177473, 153097, 156802, 163699, 166660, 169249, 175190, 178455, 155735, 159167, 161790, 164374, 172155, 175795, 177584, 154807, 156619, 163808, 167347, 168826, 174141, 178563, 154094, 158577, 160492, 164598, 172107, 173284, 178948, 151900, 159558, 161245, 167736, 169981, 173575, 176512, 155191, 158160, 163944, 164310, 168454, 175114, 179503, 154513, 159864, 160439, 167326, 171941, 172903, 176786, 154280, 159318, 160274, 165378, 171982, 173083, 179537, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 40, 3278, 975, 448, 431, 12715, 30739, 311, 1281, 1045, 28782, 311, 697, 16358, 30443, 15022, 13, 9646, 498, 2299, 304, 11, 633, 438, 3265, 438, 498, 646, 311, 13907, 10214, 730, 40212, 7956, 323, 1430, 311, 4564, 311, 1059, 24875, 13, 151645, 151673, 151674, 151670, 155692, 156201, 161795, 164037, 171366, 174147, 178604, 152577, 158026, 162926, 164587, 170307, 174509, 176661, 154966, 158704, 160889, 164869, 171171, 172200, 180153, 152127, 159739, 160237, 165776, 170735, 175491, 176391, 155083, 156644, 161748, 166367, 171501, 173183, 177723, 154600, 156893, 163434, 164089, 170124, 173086, 180077, 152836, 158447, 163665, 166411, 170863, 173045, 178340, 154600, 159087, 160711, 167910, 169236, 172537, 178829, 154220, 158586, 161162, 167865, 171497, 174255, 179257, 155461, 159686, 162047, 166738, 171953, 172676, 178197, 152686, 158560, 161638, 166277, 172125, 172837, 179340, 153559, 159336, 161069, 165983, 168752, 173484, 179473, 155151, 156861, 163091, 166361, 170977, 172271, 179251, 152577, 157219, 163551, 166063, 170226, 176179, 179940, 154220, 156893, 163332, 167428, 169696, 172166, 179293, 155198, 157962, 162032, 164947, 170711, 173926, 178215, 152232, 159335, 160117, 166587, 170266, 175705, 177472, 154138, 158141, 163298, 166419, 168671, 173285, 176710, 152425, 157383, 161200, 166406, 169874, 174161, 178074, 155126, 156011, 161822, 164119, 171966, 172567, 177383, 153382, 156469, 160944, 166603, 171662, 174537, 177380, 153559, 157761, 162075, 164831, 169699, 176236, 177519, 154427, 157845, 161269, 164510, 171612, 175937, 177020, 154220, 159489, 163354, 165678, 171675, 172525, 176726, 154427, 156644, 162425, 166605, 170000, 174212, 179216, 154956, 157895, 161452, 165070, 172109, 174529, 178122, 154822, 157032, 163163, 164767, 170436, 175920, 176697, 154242, 156788, 160787, 165031, 168836, 173599, 178586, 152047, 156812, 160999, 167421, 168070, 174137, 177795, 155748, 159705, 163079, 165999, 169677, 175232, 179945, 153382, 158421, 161088, 167185, 171560, 174828, 179450, 155529, 158893, 163789, 164666, 169889, 173777, 176859, 155511, 158248, 160997, 167774, 170391, 174227, 179877, 155647, 157573, 163711, 165254, 170467, 173292, 176456, 155659, 157915, 162009, 167845, 171765, 173361, 179463, 155374, 156561, 162194, 165784, 168422, 173515, 176534, 152577, 158919, 160392, 167980, 170915, 175294, 179450, 154427, 158596, 160048, 164010, 168470, 175039, 177865, 155529, 158615, 162560, 165255, 170118, 175849, 178711, 153389, 158291, 162151, 166533, 169249, 174740, 178717, 153240, 158428, 162805, 163981, 171850, 173747, 178851, 154150, 158202, 160393, 167693, 169179, 174007, 177640, 155556, 158724, 161855, 164712, 170222, 175073, 180081, 153179, 156712, 162724, 165688, 168189, 174540, 179124, 154298, 156088, 161129, 165834, 169807, 172500, 179232, 153327, 156142, 161590, 165001, 169077, 174698, 177978, 155441, 157082, 161207, 164090, 170639, 172738, 176542, 152084, 156073, 163798, 165494, 168762, 173091, 180058, 155441, 157384, 162537, 166666, 171627, 175338, 178976, 152084, 156937, 161732, 166365, 169122, 174032, 179643, 153513, 158408, 160645, 167310, 168750, 174837, 179975, 155114, 156930, 161452, 167428, 168147, 174628, 178080, 152686, 159521, 163682, 166330, 171741, 174049, 179394, 153169, 156774, 160060, 166502, 168982, 175314, 180321, 153151, 158544, 161777, 166963, 169904, 175155, 176926, 154220, 155817, 162858, 165798, 170151, 172839, 178904, 152232, 158760, 161133, 167692, 171565, 173604, 176876, 152903, 159761, 161533, 165319, 169707, 176007, 180074, 151793, 156961, 163287, 166932, 168306, 175505, 177695, 151985, 158134, 163303, 164351, 171534, 174403, 176719, 155774, 156780, 161056, 167492, 169481, 173448, 180257, 155117, 155962, 162336, 166016, 169161, 175892, 176325, 154204, 157857, 160362, 167919, 168207, 173516, 177274, 155529, 159039, 160719, 165922, 168430, 173019, 176444, 155604, 157634, 162489, 165458, 171177, 175344, 177019, 151967, 156858, 160595, 165682, 172123, 176252, 177798, 154829, 159460, 163685, 166553, 172050, 175486, 178776, 154943, 159740, 163344, 165777, 171954, 173015, 179168, 153559, 158464, 162025, 167453, 169091, 175692, 179859, 152047, 155883, 162943, 165191, 169699, 173519, 176279, 154600, 158806, 161461, 164331, 170118, 174879, 178143, 153382, 157081, 160894, 167446, 169539, 172317, 177946, 153623, 158118, 161584, 165623, 169194, 174927, 180019, 155126, 156071, 159908, 168059, 170107, 172205, 177955, 155529, 157631, 162766, 167468, 170490, 174540, 177507, 154814, 158977, 161788, 165716, 170844, 175687, 177725, 154914, 159273, 162159, 167664, 170579, 175643, 177225, 153559, 157761, 160192, 165165, 170911, 175860, 176544, 155374, 159558, 161088, 165925, 168958, 175288, 176272, 154814, 155875, 161327, 166865, 170165, 175806, 176661, 152601, 159742, 163681, 164491, 169708, 173741, 177411, 155516, 157178, 160839, 167991, 171625, 172661, 178525, 152686, 158404, 160102, 167748, 170314, 172604, 179877, 155529, 158040, 162051, 167635, 169631, 173326, 178063, 152879, 156732, 161899, 166168, 171318, 174870, 178260, 153900, 156349, 159964, 166554, 168932, 176246, 178000, 152686, 157779, 163363, 165007, 169653, 175886, 179903, 152598, 158445, 160476, 167180, 170777, 175586, 176697, 153028, 159420, 160032, 166631, 170328, 176203, 179119, 154024, 159626, 162495, 164145, 170331, 172727, 176811, 155264, 157893, 160619, 165419, 171164, 175720, 179961, 152232, 156287, 161690, 163994, 171199, 175216, 179844, 152228, 157076, 160770, 167796, 170121, 172448, 179460, 152200, 157866, 160093, 167900, 170142, 173683, 178842, 155461, 157418, 161263, 164664, 170145, 173551, 176815, 152408, 158461, 161761, 166411, 170626, 172416, 177819, 152217, 158577, 163125, 164788, 171124, 175989, 179537, 152408, 159203, 162198, 165873, 170142, 174589, 177116, 152879, 159665, 161100, 166577, 168082, 172890, 178683, 152232, 156968, 160718, 168019, 171019, 174378, 178717, 152217, 157762, 161636, 164563, 170558, 175843, 180238, 152425, 158595, 161788, 166134, 172119, 172215, 177345, 153248, 157192, 161701, 166116, 170915, 174325, 178299, 155374, 158520, 161325, 167133, 168727, 175523, 178709, 152577, 159574, 163116, 167245, 171356, 172227, 177441, 152686, 156559, 162089, 164240, 168676, 172232, 179623, 155529, 157108, 160768, 166237, 170336, 175114, 178278, 152408, 156672, 163357, 165569, 172026, 172474, 179648, 154768, 158626, 161267, 167515, 169281, 176172, 180027, 154420, 156347, 160025, 164711, 168943, 174888, 178518, 155680, 159620, 161459, 165555, 170108, 173326, 179719, 154004, 157470, 161604, 166084, 169019, 173792, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2610, 646, 3291, 1105, 13, 358, 2776, 2704, 566, 3278, 2506, 697, 6234, 13, 151645, 151673, 151674, 151670, 152598, 158845, 162562, 166459, 169545, 175416, 178617, 154448, 159289, 162233, 167362, 169436, 172387, 178862, 155374, 155865, 162544, 167187, 169682, 174553, 179086, 153537, 158234, 161155, 167195, 170490, 175337, 177683, 151706, 158380, 163468, 167603, 171262, 175645, 178794, 152686, 158706, 161088, 164346, 171884, 173983, 176661, 155462, 156559, 163128, 168030, 168932, 172352, 177188, 152686, 159798, 161112, 166885, 172066, 175063, 177737, 153900, 159078, 160447, 167515, 169610, 173351, 177954, 154594, 159867, 162690, 165121, 170833, 173016, 177666, 154376, 157676, 161911, 165070, 171869, 173570, 179213, 152084, 155936, 162538, 167534, 168806, 175591, 176748, 153668, 159069, 163816, 165778, 170213, 172671, 178377, 153686, 158948, 163396, 166634, 169251, 173474, 179343, 155374, 156679, 162146, 164465, 170711, 174729, 179868, 152302, 155868, 163307, 164729, 169090, 174760, 176608, 155464, 159867, 160809, 167468, 168547, 172787, 177814, 152845, 157318, 162784, 167556, 169361, 175748, 176291, 155342, 158291, 160110, 167223, 170930, 173270, 179511, 153529, 159273, 162663, 166097, 170314, 175767, 180071, 154797, 158919, 160369, 164974, 168578, 174048, 180111, 152686, 159496, 160577, 167958, 170770, 174959, 177057, 153221, 158572, 161256, 165150, 170380, 172504, 177871, 153333, 159357, 163026, 165858, 170089, 174785, 178967, 152065, 158845, 161377, 164641, 171154, 175879, 177821, 153638, 159055, 160440, 165070, 171793, 175522, 178321, 154797, 157551, 160898, 166543, 168752, 173777, 177214, 153382, 157140, 161171, 167521, 172082, 176152, 179895, 152047, 158790, 160937, 164547, 168361, 172772, 177045, 153900, 158527, 160439, 167736, 168361, 172195, 178894, 151743, 157250, 161190, 166683, 170064, 173444, 179522, 153420, 156788, 161225, 165105, 171067, 174062, 180198, 155649, 158779, 160855, 167982, 169594, 174002, 179213, 154742, 156186, 160974, 166077, 168467, 173570, 176719, 152281, 158979, 161981, 167410, 169799, 175063, 178882, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 1986, 374, 1128, 279, 65368, 40560, 518, 279, 14226, 835, 315, 66571, 5868, 1075, 13, 151645, 151673, 151674, 151670, 152505, 158537, 163237, 166310, 168545, 172660, 180231, 154517, 157031, 160827, 165164, 170641, 172275, 179137, 152047, 159269, 163410, 164991, 168943, 173249, 177615, 154413, 158026, 162846, 166608, 168274, 174596, 177293, 155529, 159231, 162968, 164803, 168098, 174973, 179160, 153382, 158018, 163372, 165775, 169545, 174227, 177816, 154305, 159001, 163490, 166984, 168901, 174184, 176880, 155519, 158642, 163426, 164609, 168738, 176103, 179843, 152047, 156976, 163604, 165037, 170550, 172395, 176835, 153333, 158429, 161132, 166688, 169134, 174691, 178525, 154395, 158790, 162480, 164957, 170038, 172546, 176631, 152689, 157551, 161940, 167718, 169196, 174565, 176602, 155118, 157551, 162299, 165274, 170445, 174911, 179236, 152486, 156607, 161660, 167060, 170819, 176090, 177238, 155521, 157496, 160889, 165323, 170108, 174786, 177832, 154614, 159647, 162212, 164924, 170089, 174919, 176998, 155321, 158317, 160818, 165493, 171850, 174737, 179835, 154395, 159081, 161520, 166289, 168610, 175166, 178745, 154215, 158436, 162083, 167106, 171577, 172835, 177626, 152985, 159030, 161769, 167744, 171009, 172355, 178468, 152486, 155866, 161926, 164815, 170879, 174721, 176287, 154976, 158878, 161862, 164959, 170083, 174682, 180319, 152065, 159198, 161912, 166008, 168895, 173862, 179698, 153065, 158234, 162685, 163987, 169555, 172384, 180067, 151770, 157761, 161038, 167013, 169659, 175860, 176823, 152013, 157417, 163864, 166313, 168463, 175789, 180248, 153226, 156151, 162784, 164425, 170378, 176198, 176765, 154054, 159342, 161359, 167059, 168693, 173144, 180218, 152408, 159324, 161917, 165202, 171309, 175027, 177037, 152954, 159209, 161657, 164269, 169708, 174015, 176470, 155321, 158274, 161761, 167919, 168303, 174418, 177328, 152240, 157319, 163732, 165058, 168967, 174352, 177125, 152331, 156319, 163134, 164123, 170715, 172826, 179445, 155374, 159034, 162495, 165352, 168422, 173544, 179295, 155240, 156940, 162489, 166995, 168876, 173312, 180112, 152985, 159681, 161790, 167893, 168964, 173006, 176371, 152065, 156607, 163775, 164838, 170437, 173874, 176743, 153506, 158591, 161002, 166587, 168295, 172492, 177596, 152124, 156166, 162167, 165738, 171917, 175247, 178094, 153075, 159337, 161638, 166117, 170244, 172237, 179898, 154829, 156012, 160810, 164346, 169153, 173923, 178829, 153657, 159342, 162787, 166723, 168606, 175605, 176414, 153559, 156732, 160355, 164156, 171954, 172644, 180228, 153120, 159510, 162365, 167386, 170107, 175361, 179657, 152988, 158505, 161885, 167402, 170901, 173029, 176414, 153620, 158982, 160482, 164834, 171688, 174157, 179761, 155156, 156753, 163091, 165125, 170714, 173042, 178844, 153477, 156738, 162888, 167968, 168128, 175205, 179458, 153965, 158454, 163448, 164075, 169799, 174535, 178358, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 641, 5256, 11, 1846, 879, 3535, 279, 5601, 646, 90684, 266, 22711, 323, 10542, 17545, 5671, 13, 151645, 151673, 151674, 151670, 152232, 157890, 163816, 165162, 171265, 174372, 178785, 155678, 156040, 160543, 164886, 168354, 174890, 179811, 155264, 156121, 160484, 165162, 169249, 173899, 178799, 155117, 156715, 160975, 164668, 170328, 172817, 177862, 154725, 156893, 160176, 168031, 169100, 175252, 176325, 153240, 156349, 162429, 167212, 169777, 172903, 178390, 152580, 156983, 160060, 164660, 170274, 175433, 176440, 152911, 157752, 160610, 165058, 169208, 172368, 177256, 153900, 156166, 162735, 165686, 170861, 174783, 180043, 154608, 157113, 160032, 167408, 169611, 172562, 178879, 155569, 159215, 161981, 166962, 170498, 174199, 177358, 153979, 159522, 161293, 165285, 171831, 174780, 179410, 152084, 159841, 162829, 165946, 169041, 174276, 177077, 154448, 157168, 161682, 166790, 170930, 172272, 178053, 152686, 159629, 163935, 167988, 171630, 173951, 177038, 155529, 157058, 162421, 163974, 172155, 174654, 179647, 155614, 155810, 161103, 164125, 171661, 174783, 178544, 154814, 157705, 162761, 167077, 169273, 172878, 178615, 154829, 157779, 161391, 166670, 170314, 175486, 180090, 152302, 158815, 161440, 167601, 168447, 173589, 177578, 154413, 158893, 160297, 164612, 170155, 175667, 180003, 155529, 156929, 162826, 165296, 169807, 176236, 178448, 153240, 159193, 161360, 167323, 170512, 175926, 178047, 152232, 158447, 161505, 167523, 170930, 172389, 178752, 155352, 157895, 162685, 164282, 168746, 175271, 176960, 155270, 157031, 163678, 166808, 169975, 175694, 177706, 153660, 158099, 161416, 166637, 168541, 174558, 179136, 152356, 156454, 163739, 166452, 168172, 174996, 177268, 154966, 157684, 160937, 166611, 170178, 175340, 176794, 152890, 157099, 160790, 166502, 171818, 175586, 178302, 153353, 156861, 160997, 164561, 171270, 173610, 177407, 155678, 158473, 162911, 165795, 169033, 173080, 179374, 153702, 159742, 161690, 166560, 172155, 174042, 176585, 154814, 157938, 162685, 167330, 171917, 174866, 179783, 153825, 156180, 160076, 166439, 169507, 174924, 179879, 152518, 158627, 163447, 165177, 169699, 172773, 177136, 153749, 157574, 163943, 167015, 170445, 173468, 179583, 152408, 159342, 160946, 166464, 171523, 172597, 177665, 153840, 157579, 159896, 166008, 171732, 174107, 179544, 152796, 157520, 162329, 166369, 171247, 173163, 176282, 152408, 158145, 161906, 167106, 171265, 174249, 179310, 154551, 158724, 163087, 165212, 172050, 175212, 179372, 151983, 158483, 160487, 167362, 168969, 175916, 180205, 153152, 156304, 162029, 164149, 170536, 174916, 178332, 155647, 158893, 160179, 167015, 171967, 172987, 177328, 155542, 158751, 163436, 167750, 170429, 172903, 176690, 152288, 156809, 160693, 167651, 170692, 174017, 180268, 153066, 159835, 161820, 166111, 169875, 175114, 177974, 152518, 157378, 163872, 164257, 170652, 173673, 177711, 155126, 157106, 161292, 167062, 169271, 174502, 178486, 154517, 156812, 160027, 166866, 170512, 175252, 176436, 153702, 156063, 162855, 165695, 171124, 175947, 179537, 152408, 156324, 160845, 165874, 168637, 173214, 180079, 155126, 158483, 160145, 167549, 168609, 174632, 179254, 153382, 158917, 160120, 167153, 170790, 174715, 177164, 155374, 159346, 160885, 166599, 169507, 175584, 179257, 154215, 156812, 160508, 164472, 171565, 175158, 178727, 152796, 156519, 160620, 165987, 168801, 174111, 178854, 153581, 156852, 163529, 167497, 170037, 172637, 178456, 153204, 156287, 163613, 165713, 171565, 175424, 179908, 152232, 156873, 161500, 165227, 168929, 174754, 178430, 154282, 158741, 160240, 164478, 169100, 173419, 178912, 154215, 159046, 160352, 166815, 168536, 173435, 176613, 155118, 158977, 163614, 165903, 172086, 172809, 176488, 155489, 157251, 161754, 166358, 168454, 175171, 177709, 155753, 156965, 160878, 165252, 171511, 174021, 176739, 154420, 158464, 162784, 167128, 168220, 175849, 177814, 152463, 157381, 162944, 165892, 169772, 172337, 177890, 154612, 157003, 159883, 167166, 168431, 172274, 178137, 155660, 156201, 161385, 166345, 170672, 175761, 178110, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 5338, 11, 566, 1035, 7077, 1273, 14878, 304, 43084, 1973, 315, 5726, 11, 448, 1372, 825, 13480, 438, 279, 916, 37724, 13, 151645, 151673, 151674, 151670, 155365, 158537, 161753, 165255, 171262, 174222, 178318, 152909, 157375, 162218, 167352, 170530, 176142, 177345, 152577, 157492, 162773, 165788, 169025, 174448, 179933, 152274, 156203, 160072, 165629, 172045, 173080, 177444, 152170, 159374, 160878, 165995, 172031, 174294, 179328, 153559, 158394, 162079, 165403, 168463, 172725, 176758, 155773, 158473, 163157, 165407, 169927, 175986, 178234, 154682, 158350, 163101, 166885, 169176, 174790, 178886, 154797, 155806, 162475, 164451, 170314, 173407, 178270, 153537, 157916, 161057, 167120, 171143, 172771, 176991, 154427, 158010, 160600, 166171, 171468, 174174, 179986, 154189, 159019, 161813, 167520, 171048, 173085, 180327, 153204, 157068, 163011, 166690, 170762, 175256, 180318, 155126, 157275, 163829, 165362, 168284, 172708, 179223, 152890, 157885, 160161, 167580, 170682, 176065, 179416, 152646, 156290, 162410, 165228, 168409, 175923, 179206, 154724, 157219, 162617, 164495, 170154, 175700, 178678, 153559, 159530, 160067, 165429, 171300, 173653, 176433, 154864, 157099, 159941, 166727, 168934, 174336, 177752, 154054, 156033, 162565, 164707, 170122, 174362, 177699, 154614, 156968, 160701, 166602, 171063, 175818, 177898, 154839, 156272, 163197, 165134, 171569, 175628, 179891, 154655, 157099, 163561, 164436, 168800, 173764, 178869, 155500, 159759, 163321, 164258, 169108, 173529, 179469, 155529, 156619, 163344, 166050, 170422, 173357, 178984, 152408, 157654, 163018, 165995, 170915, 175064, 176389, 153204, 156812, 162052, 167621, 169855, 175839, 176301, 153749, 155896, 163958, 165977, 170174, 176110, 177335, 154431, 156997, 163894, 165039, 171453, 172532, 180338, 153660, 157779, 160462, 164181, 170226, 172804, 177436, 152601, 157146, 161645, 166543, 170470, 176003, 179811, 155647, 157865, 161530, 165087, 170645, 173863, 179417, 153831, 156967, 160003, 166883, 171716, 174644, 177661, 154966, 158840, 162435, 166053, 170579, 174431, 178156, 153459, 158627, 163935, 168053, 168468, 173615, 179866, 153000, 156613, 160794, 164435, 168676, 175159, 178852, 152690, 156891, 162591, 167358, 170648, 174387, 177083, 153664, 156067, 163638, 167215, 171293, 173524, 177052, 152780, 156854, 160058, 165686, 171595, 173878, 176556, 153668, 155885, 161682, 168033, 171790, 173311, 178300, 154305, 157296, 161850, 165010, 172050, 175928, 178805, 153205, 158291, 161314, 168052, 171073, 174662, 176697, 153830, 158486, 163190, 164404, 170915, 172735, 176519, 154427, 157877, 161513, 167745, 171010, 173965, 177387, 154189, 158643, 162215, 167788, 171268, 175168, 180247, 154294, 155927, 162583, 166598, 171543, 175546, 179649, 153197, 158021, 163891, 165873, 169777, 174234, 179515, 154189, 156586, 162429, 167494, 169872, 174482, 176516, 154864, 158827, 162543, 165064, 170874, 173860, 176260, 153382, 158380, 163065, 165555, 169387, 174229, 179919, 153707, 159798, 160830, 165184, 168800, 174190, 178282, 151898, 157687, 163442, 165006, 171837, 173826, 179322, 155352, 158670, 163217, 167542, 170209, 172629, 177996, 153749, 158666, 163568, 167689, 171769, 172196, 179794, 152047, 156558, 162352, 164031, 169189, 174356, 180244, 152225, 158319, 163370, 165703, 168224, 176240, 180034, 154814, 156995, 162645, 165884, 171356, 174754, 178587, 154829, 158447, 160877, 165844, 168590, 173040, 177499, 153151, 158150, 163060, 165834, 168468, 173708, 179676, 154150, 159273, 162892, 166568, 171224, 172359, 178181, 153600, 155987, 160426, 166599, 171575, 174143, 177155, 153927, 156222, 163728, 165960, 170155, 176183, 177754, 151976, 156067, 161980, 167660, 169337, 173049, 179500, 152257, 156636, 163076, 164474, 169669, 172592, 177757, 154897, 156648, 163374, 167878, 169584, 176174, 179108, 155731, 157752, 159994, 164128, 169328, 173673, 176821, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 26972, 315, 279, 4743, 2244, 274, 1134, 1033, 42790, 553, 862, 12591, 369, 2355, 323, 17201, 311, 1855, 264, 501, 9886, 13, 758, 1973, 311, 6815, 432, 1007, 11, 807, 1496, 51842, 279, 1008, 1378, 24438, 274, 1134, 13, 2014, 12793, 1741, 2513, 1410, 1896, 1992, 304, 279, 66571, 13, 88190, 13, 358, 1513, 944, 1414, 1380, 311, 3161, 13, 151645, 151673, 151674, 151670, 152931, 159731, 161029, 165858, 168197, 172712, 178487, 154839, 158335, 160645, 167544, 170183, 173444, 177557, 154454, 156182, 161214, 164569, 168932, 172958, 179086, 151970, 158242, 163155, 165638, 170459, 173700, 177529, 155666, 158720, 162732, 165879, 169595, 175000, 176613, 155529, 156886, 161313, 167001, 168566, 175694, 178841, 153559, 157099, 163850, 166696, 170985, 174227, 179884, 155529, 159772, 162294, 167816, 168566, 172734, 176594, 155273, 155829, 162458, 166687, 169428, 174839, 177843, 152705, 157063, 160311, 164614, 169818, 173573, 176510, 153529, 158815, 161309, 165704, 169108, 175180, 180249, 155736, 156278, 160897, 167308, 170668, 174703, 176832, 153559, 157978, 159906, 164955, 169387, 173505, 179923, 154242, 156559, 162907, 166976, 168566, 175602, 178222, 155529, 157867, 162970, 165884, 171702, 175913, 179091, 155606, 157895, 163952, 165603, 168946, 172341, 179283, 152601, 156020, 162776, 165365, 171181, 173045, 179631, 154859, 156961, 161604, 167615, 171025, 175500, 179301, 153749, 158423, 163634, 166824, 169660, 173135, 180097, 154657, 155810, 162484, 166580, 168098, 174914, 176472, 153204, 156097, 162705, 165964, 170226, 174097, 178725, 154724, 156278, 162873, 166676, 171674, 175304, 178781, 154600, 157507, 162536, 168033, 170086, 175287, 179217, 154427, 156883, 161054, 164220, 171581, 175110, 179298, 154448, 157857, 162067, 166552, 170666, 173934, 177038, 152486, 159574, 162777, 166540, 169708, 175948, 176378, 153389, 157954, 160406, 165957, 169545, 176169, 179668, 154420, 158595, 160487, 167787, 170967, 172411, 179159, 154724, 159206, 163880, 164323, 171224, 172440, 179339, 152869, 157148, 162782, 164744, 171048, 175790, 177170, 154768, 158026, 162547, 168055, 171660, 175285, 176479, 155427, 156287, 161898, 164264, 168211, 175127, 179034, 153581, 158957, 163895, 165122, 170246, 172653, 179055, 152796, 157586, 161889, 165550, 170987, 172188, 176642, 152228, 158570, 161285, 167816, 170816, 174553, 176505, 155122, 158202, 161660, 166457, 170490, 172427, 178747, 152836, 158133, 160366, 164438, 169216, 174713, 179127, 153660, 158871, 161180, 166546, 169507, 175204, 180179, 151965, 158815, 162613, 166831, 170222, 175364, 179910, 154768, 158482, 161938, 167820, 171265, 174077, 176717, 153389, 156512, 160418, 164346, 169320, 175052, 179591, 155117, 159062, 162108, 166660, 169056, 175477, 180248, 155680, 156983, 160578, 164301, 171041, 172337, 180337, 153529, 156066, 162758, 166835, 168336, 172876, 178865, 154829, 158460, 163727, 164743, 171875, 174084, 176428, 155529, 156639, 162073, 167325, 168958, 174373, 177470, 155117, 156103, 161515, 166763, 170558, 173331, 177970, 153657, 159297, 161280, 167755, 171124, 173407, 177319, 152909, 157095, 162126, 167991, 171726, 172787, 177820, 152232, 158610, 162998, 166008, 168527, 175522, 178046, 152047, 156771, 160076, 164802, 169464, 173307, 178900, 152232, 158048, 160907, 167440, 168958, 173800, 176986, 155647, 158893, 161259, 167672, 169851, 172275, 178111, 152425, 157603, 160173, 165224, 170735, 174995, 178278, 155516, 157562, 163598, 166154, 170921, 175941, 176282, 153226, 159458, 161891, 165063, 170724, 172533, 176371, 154427, 156644, 161513, 165609, 168932, 175913, 178069, 152577, 157938, 161680, 167116, 169507, 173243, 178199, 152686, 158982, 160635, 165001, 169179, 176182, 178717, 153273, 157730, 163803, 164389, 170109, 173444, 179525, 155715, 158635, 163003, 166084, 170609, 175726, 180268, 153783, 157837, 160424, 164498, 170346, 174096, 177358, 152404, 156700, 163230, 164043, 169808, 174540, 179883, 152084, 156700, 159947, 165840, 171919, 173070, 178144, 155405, 159335, 163146, 164106, 171464, 174736, 178372, 152084, 159260, 163836, 166925, 170352, 175429, 178128, 155774, 156705, 161262, 167123, 170215, 174736, 179719, 153008, 157304, 161808, 166922, 171925, 174085, 180284, 155126, 157031, 160787, 166819, 169874, 172988, 176576, 152686, 156737, 161356, 164016, 171781, 173350, 177138, 154966, 157077, 161682, 165658, 171518, 173723, 177465, 152686, 156646, 161392, 164776, 170771, 175517, 176926, 151970, 158265, 162772, 166695, 170379, 175910, 180155, 155659, 157524, 161909, 166868, 170073, 172209, 177723, 155519, 158806, 162458, 167261, 170840, 173826, 178717, 152686, 159503, 160382, 164557, 169571, 176070, 179247, 154829, 156362, 163834, 167857, 171630, 174182, 179483, 153749, 159376, 161266, 164823, 169839, 174862, 178193, 152686, 156310, 162169, 166979, 168847, 174401, 179622, 153900, 156559, 160983, 165639, 170226, 174501, 178145, 155651, 157938, 161761, 167157, 168879, 172329, 179067, 155753, 156439, 161362, 167595, 168099, 176123, 177763, 152851, 159046, 161774, 165908, 170703, 172625, 180059, 152985, 157893, 160257, 167377, 170711, 173229, 177911, 154448, 156239, 161063, 164486, 168897, 173627, 178882, 155516, 158552, 161640, 165389, 169578, 175138, 179937, 154185, 158700, 162414, 167538, 170920, 173740, 177508, 154448, 158319, 161871, 166299, 169316, 174546, 179792, 154204, 157502, 163090, 166812, 170308, 174577, 177563, 155126, 156585, 163503, 166833, 170702, 173101, 179471, 153282, 158056, 162418, 164307, 168752, 174443, 177988, 153581, 155964, 162607, 164277, 170374, 175307, 180140, 155500, 158476, 163712, 166379, 168693, 175476, 179107, 155529, 158242, 163486, 168025, 169889, 175795, 178991, 151898, 157921, 161980, 167131, 171407, 175909, 180234, 155264, 157664, 160561, 165696, 172086, 174620, 179793, 153825, 157603, 160897, 166721, 171841, 173611, 177263, 155470, 159834, 160766, 165964, 169507, 172421, 177274, 153749, 157601, 163280, 165711, 171765, 175998, 176966, 155321, 155955, 162099, 167223, 170956, 172217, 178110, 151706, 156134, 161823, 166502, 170927, 175713, 177472, 154054, 157510, 161980, 165566, 169699, 173896, 177295, 152686, 155884, 162442, 167633, 169319, 172403, 179117, 153581, 157525, 160680, 165572, 168848, 173589, 177408, 153529, 158336, 160167, 165847, 170038, 174104, 176752, 152869, 157068, 163435, 166192, 170530, 172239, 180226, 155511, 158242, 162132, 166740, 169044, 172903, 179929, 154839, 156693, 163460, 166050, 170772, 172456, 179325, 153541, 156820, 162166, 166679, 168932, 174871, 177419, 152879, 159629, 163600, 164402, 171245, 173603, 178310, 153382, 158172, 162064, 167067, 171862, 175628, 179264, 152232, 156873, 162467, 165985, 170762, 173338, 179115, 152217, 158764, 162295, 166425, 169795, 176197, 178873, 152425, 156337, 163068, 167538, 171039, 173645, 178087, 154420, 159835, 162766, 165995, 171142, 174888, 178518, 154964, 156983, 161103, 165566, 171085, 176241, 179549, 152851, 155950, 161449, 167530, 171383, 172235, 179614, 154666, 157709, 160885, 166772, 170619, 173713, 176442, 155774, 156235, 161556, 165249, 168195, 173029, 179623, 155405, 159176, 161237, 165393, 168467, 175438, 177890, 155774, 157193, 163782, 166273, 170696, 172223, 179678, 154788, 158718, 163674, 165470, 170759, 175131, 176668, 155606, 159057, 162775, 165553, 172047, 173268, 179863, 152686, 157999, 161568, 164278, 170470, 174320, 179667, 152425, 157161, 163323, 166921, 171356, 172288, 179351, 152408, 156559, 163581, 167407, 171675, 175728, 176869, 154797, 157148, 160574, 166870, 171651, 174554, 176442, 152408, 158445, 160428, 166344, 169708, 172742, 178069, 155529, 157651, 162675, 167702, 169807, 173747, 179340, 152425, 156248, 162383, 167562, 171889, 174264, 176606, 153559, 156693, 163814, 167950, 168411, 175860, 180043, 152408, 158882, 160780, 167148, 168566, 172935, 180342, 152686, 156737, 162659, 164527, 169271, 173710, 178011, 152890, 159045, 162406, 166842, 170118, 176092, 176753, 153831, 158423, 163289, 165352, 171073, 173466, 179821, 153382, 157040, 161603, 166502, 169611, 175713, 180108, 152232, 156812, 163802, 164449, 170549, 175602, 178038, 155516, 159230, 160391, 164541, 170477, 173060, 179657, 154829, 158034, 163208, 164903, 171557, 172317, 179312, 153749, 156182, 161111, 167032, 168158, 172618, 177467, 151706, 158118, 161158, 165555, 168879, 175836, 176267, 152302, 158202, 160615, 167712, 168800, 175051, 179147, 155264, 158642, 163399, 164039, 169256, 172231, 177738, 152408, 159277, 160173, 167875, 169100, 173404, 176952, 153830, 159387, 163633, 164859, 171177, 176115, 178848, 153333, 157797, 160385, 166853, 169350, 175207, 176351, 152985, 158571, 162954, 164494, 170159, 174789, 178537, 155126, 159274, 161871, 165597, 168527, 172300, 178014, 154746, 156802, 161096, 166921, 171726, 174476, 177738, 152047, 158341, 160884, 164774, 170448, 174152, 177976, 152869, 157336, 161379, 167756, 171887, 175893, 177076, 155113, 158721, 162347, 165783, 171930, 174108, 179677, 155441, 157082, 163926, 166190, 168232, 174296, 179614, 153861, 155990, 161993, 166269, 171122, 173826, 178340, 154682, 157826, 163121, 167870, 168312, 175669, 178275, 153861, 158494, 163050, 167984, 168278, 173414, 180059, 154682, 156525, 160402, 165856, 171587, 172543, 179349, 154954, 157164, 163955, 165682, 170682, 173702, 177095, 153529, 158528, 159947, 165282, 170522, 174096, 176464, 154761, 157500, 163544, 167074, 168476, 173859, 178709, 153728, 156732, 159873, 164056, 169154, 174975, 180182, 155441, 156396, 160976, 164017, 171529, 175393, 179990, 154666, 159592, 163036, 164657, 168476, 173722, 179095, 153957, 159633, 161282, 165070, 172143, 173262, 179500, 154666, 156780, 161820, 164302, 170684, 176124, 177256, 152476, 158730, 163396, 166416, 170836, 173705, 177061, 155774, 156888, 161370, 168022, 170912, 174254, 177931, 154666, 156416, 163329, 167047, 170176, 172514, 178146, 152408, 155901, 162448, 164145, 170958, 175596, 179875, 152425, 159272, 162796, 164578, 170287, 175444, 178600, 155126, 159452, 160718, 164693, 168666, 176002, 178150, 151898, 156020, 162378, 166067, 169507, 173710, 179417, 153080, 156538, 163015, 165059, 171726, 173687, 176329, 155321, 156745, 159932, 165695, 169539, 173033, 176585, 152047, 159574, 161889, 164192, 171595, 174106, 180332, 152232, 159459, 160729, 165243, 170336, 173022, 178685, 152425, 158886, 160012, 164004, 169320, 175375, 178467, 155218, 157921, 160928, 164314, 171473, 175832, 177718, 155461, 156166, 161762, 166904, 169527, 173166, 176331, 152450, 156018, 161590, 167237, 170859, 176172, 179223, 152281, 156201, 161207, 166345, 170489, 175761, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 34964, 304, 279, 5810, 1879, 374, 304, 38649, 292, 2845, 8433, 311, 15662, 13527, 13, 4220, 15130, 13495, 646, 12824, 387, 264, 21844, 315, 15662, 34726, 3042, 1584, 13, 151645, 151673, 151674, 151670, 152408, 159452, 162200, 166537, 169100, 174076, 176869, 153151, 159218, 163609, 167678, 170712, 175552, 179405, 152240, 159273, 162477, 166791, 171777, 172616, 179556, 153226, 158150, 162234, 164520, 169569, 173254, 178518, 152425, 157967, 162943, 164197, 168527, 174490, 180327, 155655, 159705, 162188, 166609, 171300, 175891, 179944, 153749, 157464, 163191, 165622, 169939, 175308, 180109, 155500, 155909, 161116, 165884, 169130, 176211, 177484, 152408, 158914, 160065, 167865, 171327, 172754, 180026, 153240, 158876, 163052, 167345, 170622, 175782, 178873, 152236, 156358, 162489, 167635, 170921, 174540, 179576, 154966, 157664, 162136, 166791, 169923, 173241, 177756, 153702, 158447, 160013, 165977, 171738, 175664, 177015, 153660, 159335, 163040, 164634, 168218, 175969, 180119, 153525, 158916, 163010, 166866, 169153, 174860, 179533, 153120, 157581, 160064, 165415, 168146, 175855, 176672, 153825, 157153, 163514, 164453, 169545, 173457, 177685, 155529, 156358, 161332, 166401, 170125, 173041, 178411, 153108, 157336, 161438, 166079, 171265, 175722, 178828, 152408, 156745, 161465, 164195, 170607, 175340, 179629, 153382, 156104, 160571, 164657, 169565, 173516, 179898, 155100, 159336, 162406, 164938, 171491, 174777, 177732, 152217, 158194, 160787, 165134, 168847, 174399, 176799, 155374, 157406, 162890, 164270, 168284, 175716, 180200, 154829, 158949, 161328, 165356, 169912, 175381, 176853, 154178, 158772, 162889, 167395, 170652, 175930, 178542, 153333, 157022, 160896, 164237, 169168, 175039, 180085, 154797, 159412, 163391, 166881, 171262, 174653, 179312, 151983, 159218, 160116, 164962, 171354, 174476, 180223, 152408, 156350, 161515, 167699, 171327, 174408, 177753, 154004, 158990, 160258, 164614, 168874, 174376, 177738, 153825, 158319, 160365, 165034, 169848, 174721, 176430, 152217, 156450, 162224, 164419, 168657, 172364, 176299, 154517, 157938, 163131, 165697, 169490, 175759, 177112, 155081, 157219, 163205, 167195, 168082, 176057, 177217, 155556, 155794, 160431, 164729, 169085, 175391, 179666, 155118, 158855, 162983, 165430, 171184, 175058, 178239, 153382, 158914, 163933, 166104, 169604, 172450, 176598, 153559, 159566, 161217, 164154, 171196, 174026, 176715, 153802, 157880, 163156, 167617, 171620, 175281, 178887, 154847, 157916, 160413, 165900, 171724, 172826, 176409, 155249, 159802, 161641, 168060, 169948, 172562, 176767, 154612, 156358, 161721, 164541, 169242, 172173, 177407, 155441, 157598, 162357, 167976, 168366, 175922, 177621, 152084, 157826, 160348, 167242, 170215, 174736, 176829, 153731, 156179, 163211, 167932, 170213, 173454, 177801, 154858, 157927, 161474, 165010, 171606, 172965, 177891, 155405, 159176, 161023, 163977, 169551, 173525, 179434, 152084, 159475, 163396, 164295, 170292, 175684, 176265, 155405, 155783, 163074, 165535, 170229, 174281, 177922, 154858, 156078, 161720, 164353, 169728, 173042, 179612, 154916, 157301, 162241, 163977, 168993, 174244, 178636, 152753, 157995, 161170, 165405, 170021, 174032, 180155, 154517, 158913, 163617, 164670, 168560, 172909, 176339, 152408, 158319, 161929, 165547, 169867, 176235, 179644, 155606, 159309, 162920, 165224, 169805, 174429, 178332, 153120, 156375, 163686, 167385, 171468, 175584, 176397, 155381, 158992, 160362, 165472, 170314, 174141, 179818, 152047, 159058, 162007, 167077, 170878, 173815, 177743, 151872, 159710, 162759, 167231, 170089, 175112, 178711, 152047, 155779, 163132, 166534, 169134, 174058, 179766, 152686, 159596, 159927, 167955, 168932, 175490, 178135, 153273, 159309, 163603, 164595, 170066, 175827, 178495, 155680, 159620, 161315, 166390, 170607, 173762, 179131, 151983, 159312, 160605, 166380, 168808, 174979, 178021, 152890, 156891, 163692, 164883, 169396, 173479, 180248, 152686, 159788, 163236, 165944, 169898, 172742, 179058, 153389, 157845, 163544, 165017, 169922, 174799, 179160, 152777, 157395, 163948, 167670, 169588, 175138, 178882, 152437, 158471, 162982, 165031, 169360, 173254, 176865, 152302, 156619, 162049, 166607, 171268, 175865, 177879, 155456, 156621, 160717, 166084, 171866, 175549, 176368, 152302, 159058, 162656, 167120, 171347, 173347, 178506, 151898, 156681, 159976, 165196, 171536, 173978, 180032, 153120, 159467, 160500, 168036, 170465, 175705, 177562, 153333, 158056, 162850, 166180, 171245, 173097, 178161, 154185, 155933, 161294, 166641, 169738, 174255, 179098, 152985, 159058, 162529, 167008, 171605, 174546, 178975, 152796, 158935, 161543, 165141, 170811, 175493, 179295, 154517, 156498, 159993, 163974, 170177, 175999, 177740, 154810, 157573, 162250, 167502, 168082, 173862, 179715, 153660, 157551, 161656, 165468, 171497, 175067, 177148, 155374, 159293, 163173, 165369, 171869, 176174, 179765, 153781, 158919, 162173, 167436, 171219, 175788, 180121, 155168, 159342, 163586, 164750, 171366, 172440, 176571, 153240, 159770, 162685, 167927, 171551, 173486, 179335, 154822, 157321, 163451, 165371, 168470, 175728, 177840, 153900, 157031, 161733, 164535, 169377, 172269, 179737, 152200, 156350, 162645, 164991, 170909, 175659, 178045, 155512, 158288, 160024, 166770, 170079, 174377, 176328, 153240, 156842, 160994, 165806, 171661, 174632, 177422, 155374, 157978, 162081, 166076, 171597, 174391, 176487, 153197, 158364, 163466, 164937, 171523, 174261, 176655, 153825, 156644, 160748, 166166, 169296, 174815, 179263, 152217, 156216, 163872, 165093, 168238, 172601, 177559, 153842, 158412, 163742, 165917, 170579, 175270, 180098, 153749, 156559, 160152, 164417, 170491, 173615, 177154, 155080, 156504, 161939, 166554, 168956, 173293, 179395, 155529, 157045, 162690, 167960, 168148, 175244, 177214, 154797, 157938, 161172, 166452, 168070, 173708, 178401, 154517, 158741, 162050, 164083, 168612, 174309, 177708, 153333, 158919, 160021, 166977, 170015, 174262, 176588, 154774, 157998, 162917, 165973, 169892, 172460, 178455, 153668, 156695, 161434, 167770, 171481, 175127, 176821, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2132, 594, 3204, 13, 576, 1931, 3405, 374, 3170, 13, 3017, 7942, 374, 807, 2299, 18202, 2494, 705, 13, 151645, 151673, 151674, 151670, 152408, 158665, 162177, 166553, 170378, 173579, 180331, 152686, 157555, 160056, 167580, 171333, 173307, 178882, 154138, 158780, 159956, 166022, 169320, 172194, 178487, 154420, 158134, 161459, 164711, 169271, 172999, 177126, 154776, 157467, 162798, 164652, 170286, 175127, 178987, 152686, 158641, 161358, 166406, 169387, 173606, 178352, 153900, 158627, 162458, 167472, 170915, 175075, 177217, 152408, 157938, 159920, 166609, 169642, 175645, 177487, 152686, 159530, 163561, 165711, 168985, 176160, 179105, 152917, 158114, 163911, 167556, 171698, 172183, 176766, 154668, 156805, 161006, 167013, 171009, 172698, 177540, 153499, 159229, 163119, 166247, 168492, 174294, 177823, 152069, 159841, 161146, 167749, 171460, 173496, 177167, 153668, 157296, 159881, 167389, 170366, 175139, 179498, 153686, 159069, 163050, 168052, 168195, 175502, 177061, 155715, 159329, 161454, 167242, 170002, 175810, 176583, 153686, 157077, 160348, 165822, 170366, 172341, 176786, 155737, 158522, 162289, 166947, 171893, 174254, 178801, 155117, 159361, 161261, 165560, 170915, 176163, 179515, 152369, 156032, 160861, 167331, 169507, 172563, 179171, 154427, 156180, 160743, 164321, 171738, 175181, 178185, 152232, 159119, 161461, 165435, 170607, 175300, 178792, 153749, 159004, 162420, 166883, 170992, 174280, 176560, 154829, 156928, 163757, 166531, 168238, 173673, 179134, 153635, 156941, 161681, 166587, 171569, 175787, 176945, 152486, 157916, 160209, 164592, 169221, 173065, 178804, 151872, 157099, 160369, 164807, 169632, 172999, 178390, 155123, 158632, 160842, 165119, 168940, 176008, 176793, 152302, 156745, 163278, 166399, 170183, 174919, 177804, 154517, 158977, 160072, 164581, 169093, 173818, 179916, 153098, 158482, 161713, 165134, 169296, 172377, 178310, 155680, 157371, 160756, 164852, 171883, 174694, 178139, 152069, 159844, 160030, 165408, 171098, 172965, 179565, 155737, 157281, 161371, 165828, 170332, 175551, 178982, 151811, 158933, 160740, 167040, 171713, 173927, 176576, 155277, 159831, 161823, 164694, 170677, 172396, 178022, 154654, 158566, 160655, 164030, 169245, 175061, 178586, 152241, 156995, 162583, 166679, 170720, 176163, 179723, 155056, 158689, 162438, 166113, 171265, 172856, 177071, 154395, 158747, 161241, 164783, 170715, 174888, 177719, 151778, 159344, 161430, 165723, 171750, 175306, 177167, 151761, 159374, 160408, 167399, 170966, 174855, 176641, 153668, 157296, 160795, 167115, 171357, 173677, 177621, 152069, 159314, 160199, 167503, 168198, 172193, 180183, 153986, 157020, 161170, 163977, 170370, 173691, 180198, 152548, 155783, 160754, 167242, 168195, 174547, 178358, 155686, 157313, 162866, 167324, 169176, 173474, 178839, 153918, 155783, 160754, 167355, 168498, 173083, 177164, 152342, 159838, 163848, 167355, 169176, 174736, 177189, 153918, 156382, 160677, 164878, 169452, 174880, 179530, 151767, 157995, 160172, 167769, 168439, 173060, 178214, 152686, 158724, 160854, 167379, 170977, 174746, 179135, 153151, 158689, 161896, 164187, 168354, 172656, 178493, 152232, 156038, 162017, 164413, 170248, 173061, 176406, 153226, 155989, 163546, 164973, 168566, 172356, 179152, 152408, 158886, 160429, 167738, 170711, 173177, 179640, 155529, 157099, 161333, 167244, 171009, 173869, 177798, 154739, 158326, 163261, 166253, 170879, 175011, 179478, 154420, 157099, 163748, 167556, 170901, 175713, 179633, 152069, 158041, 162125, 166403, 169054, 175748, 178235, 155656, 158933, 160257, 166421, 168879, 175341, 178820, 155080, 158026, 160478, 165212, 168566, 173015, 178119, 155374, 157260, 162517, 165119, 170028, 176199, 179759, 154724, 159580, 160441, 164445, 169033, 172337, 179980, 152686, 157600, 160372, 165049, 171375, 173184, 179531, 151977, 159438, 160212, 166804, 169515, 175509, 180317, 154997, 155888, 161874, 165203, 168646, 172341, 177984, 152408, 158232, 161103, 166035, 168932, 172583, 176715, 152486, 157680, 160532, 167419, 168298, 176059, 178458, 152874, 159001, 160448, 164675, 170914, 172784, 179990, 151958, 157313, 163271, 167918, 170064, 174466, 177804, 155374, 156812, 163424, 166057, 170977, 172412, 176904, 153660, 158560, 162338, 165395, 169875, 173880, 179234, 154776, 157780, 163351, 167557, 172031, 175344, 177703, 153359, 157795, 160625, 167118, 171914, 173320, 177554, 152450, 157536, 161911, 166726, 170260, 173666, 178726, 152281, 159605, 160032, 164691, 170672, 172707, 180215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 15986, 829, 374, 730, 523, 71, 11, 847, 69314, 13, 1446, 1410, 1977, 566, 594, 279, 18239, 369, 35116, 11455, 30739, 13, 151645, 151673, 151674, 151670, 153353, 156099, 163741, 166877, 170115, 173390, 179634, 154413, 159264, 162116, 167645, 169536, 176215, 177936, 153034, 156803, 161965, 166061, 168257, 173306, 178546, 155606, 157110, 163582, 167733, 168392, 175346, 177314, 153128, 158242, 163125, 166119, 168385, 173184, 178834, 152425, 156626, 162375, 164161, 170126, 174877, 179624, 153559, 158475, 160367, 164866, 171746, 173676, 178013, 152013, 158929, 160891, 167133, 169587, 175442, 180126, 153830, 158386, 161774, 167350, 168536, 175884, 178081, 155122, 158876, 160736, 167856, 170204, 173282, 177045, 154427, 156644, 161969, 164447, 169136, 173163, 176498, 152425, 157049, 161153, 167852, 168625, 175419, 176662, 154054, 156166, 163355, 164336, 168236, 175252, 177453, 153477, 156918, 162928, 166611, 170018, 172787, 178399, 153288, 159471, 161590, 168049, 169662, 175399, 176331, 155113, 157542, 161851, 167534, 168528, 174035, 179780, 155652, 155990, 161159, 164479, 170598, 174382, 179213, 155774, 156207, 161228, 166004, 169592, 174370, 177838, 155652, 159275, 161641, 167039, 170962, 173929, 177451, 154682, 156866, 163690, 164956, 170831, 172399, 176542, 152383, 157158, 163799, 165943, 169457, 173448, 178618, 154956, 158662, 162711, 166854, 171530, 172838, 176754, 153830, 156362, 163422, 167440, 170977, 173965, 177273, 152869, 156248, 163821, 165173, 168216, 175027, 179478, 154427, 156388, 161243, 165590, 168468, 175433, 178228, 155659, 158003, 163276, 166811, 168610, 176198, 177159, 154395, 157562, 163021, 165060, 168835, 175637, 179893, 155188, 159273, 162384, 164950, 170085, 174470, 176269, 152232, 158709, 163061, 166925, 168236, 173125, 179734, 154257, 158751, 163864, 167470, 168454, 174783, 177214, 154235, 156572, 160506, 167976, 170073, 174577, 180248, 154898, 157654, 161103, 166634, 169875, 172999, 179639, 152063, 156770, 161861, 167237, 171086, 173029, 180240, 154682, 156057, 162939, 165333, 171563, 174802, 176786, 155441, 158494, 163006, 164479, 168141, 173071, 176719, 154774, 158712, 161257, 166442, 168929, 173737, 176366, 151956, 158051, 159998, 164991, 172100, 175722, 178072, 152217, 155957, 160297, 166846, 170038, 172186, 178306, 153131, 158091, 162167, 166671, 168245, 175162, 177438, 153559, 156437, 161974, 167187, 170927, 175660, 178283, 152930, 156028, 160499, 165431, 168316, 173713, 177809, 153034, 156852, 163750, 166050, 171904, 172707, 179855, 154413, 158294, 162023, 166824, 171626, 176048, 179112, 152529, 156812, 160317, 165299, 169161, 173052, 177826, 152047, 156032, 160476, 164305, 171133, 175168, 177277, 152232, 156675, 163914, 167266, 168963, 174724, 177067, 152047, 159459, 161620, 165538, 170579, 172340, 177531, 155529, 157099, 162691, 165002, 169914, 174611, 178161, 153830, 156681, 160734, 166713, 169927, 175517, 178079, 152274, 159340, 160100, 165253, 170314, 172403, 176943, 153525, 159775, 162660, 164514, 169041, 172284, 179893, 155374, 159314, 163502, 164059, 170123, 176004, 179782, 155529, 157563, 161814, 166312, 169660, 175691, 178982, 155606, 158482, 161487, 164181, 171765, 173175, 177032, 152425, 159387, 162678, 166157, 169320, 175017, 177951, 153878, 155830, 161023, 166550, 168847, 175628, 177117, 155056, 158893, 162695, 165273, 169695, 173007, 178713, 155748, 157582, 162414, 166623, 168517, 174050, 176565, 152295, 157834, 161926, 167556, 168472, 173058, 178018, 152689, 157725, 163138, 167428, 170067, 175271, 180331, 152200, 157938, 160466, 165145, 171561, 174827, 180345, 154220, 159324, 160658, 167019, 168764, 175378, 178556, 152200, 158757, 161529, 164924, 171917, 174408, 180042, 151898, 158186, 162560, 167372, 170089, 172875, 178298, 153559, 158697, 163545, 167668, 170460, 173324, 178409, 153698, 157896, 162380, 164894, 168877, 174894, 176370, 153830, 157554, 161596, 167857, 170204, 172345, 178918, 155461, 156368, 162363, 167428, 169850, 172167, 177902, 151967, 156454, 162467, 165450, 168676, 175789, 178666, 153276, 158483, 161114, 165283, 168833, 172185, 177125, 155680, 159499, 163180, 166102, 171659, 174742, 179328, 153220, 158048, 162115, 167326, 168137, 175699, 179913, 152281, 156383, 160780, 165264, 169799, 173426, 178110, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2461, 279, 882, 1660, 11, 678, 498, 1184, 311, 1414, 374, 429, 582, 1033, 3055, 60090, 13, 358, 6116, 279, 274, 3114, 26807, 1393, 566, 8570, 806, 14250, 78545, 13, 151645, 151673, 151674, 151670, 153900, 156707, 161284, 167931, 169683, 172652, 177976, 153131, 158242, 163532, 164516, 168930, 175286, 180032, 155529, 157032, 159927, 167325, 170585, 175486, 178030, 152890, 158883, 159891, 167795, 169221, 176011, 177976, 152577, 156802, 161586, 164119, 170530, 173582, 177141, 154791, 158242, 160981, 164638, 170607, 173950, 180138, 155688, 157683, 163039, 166548, 171420, 172387, 178650, 153831, 157886, 162072, 167152, 168609, 172489, 179515, 154448, 157573, 160309, 164478, 171519, 172605, 179846, 155264, 158749, 161778, 167785, 171740, 172998, 177434, 153607, 158357, 162156, 165541, 169122, 173200, 176274, 153653, 157257, 162781, 164868, 168254, 175772, 177629, 154916, 157780, 160190, 167125, 168173, 176032, 178066, 153668, 157193, 160348, 165278, 169592, 175283, 177019, 151967, 157327, 163241, 167018, 168077, 173575, 180063, 154829, 157489, 163100, 165538, 172050, 175381, 179650, 154242, 156287, 162578, 167594, 168413, 172709, 177793, 154089, 159473, 161749, 165131, 170760, 172635, 177663, 153749, 156489, 162540, 168021, 168929, 172563, 176789, 152985, 156097, 163826, 165667, 169149, 174854, 176849, 155529, 155922, 161891, 164789, 168447, 175199, 179433, 153749, 158764, 161802, 167374, 169514, 175822, 177632, 154829, 159231, 160724, 164425, 170226, 175368, 176960, 154814, 157916, 162447, 167064, 171026, 174477, 179255, 153389, 159574, 162726, 164728, 169545, 173185, 179762, 152408, 158527, 160192, 165833, 171497, 174331, 179466, 154432, 157750, 160807, 167347, 171146, 172344, 178285, 153864, 159059, 162224, 164806, 171327, 176215, 176774, 152686, 157853, 163355, 166670, 168225, 174321, 178870, 153660, 157148, 162421, 166553, 170898, 173675, 179955, 153197, 159738, 161269, 165155, 170004, 174447, 176391, 154189, 159762, 163337, 164240, 172073, 174076, 178445, 155529, 157921, 161559, 166282, 171009, 173775, 176902, 154829, 158571, 163698, 166425, 168118, 172343, 176672, 153362, 159247, 160325, 164003, 170522, 176084, 176655, 152722, 156802, 162401, 167437, 169888, 175904, 179166, 155529, 157600, 161085, 167419, 168801, 176209, 177052, 155321, 159530, 161200, 167345, 171960, 174421, 179055, 155118, 156121, 160252, 165240, 168535, 172908, 180281, 154032, 159229, 163953, 166881, 171100, 175682, 179421, 152125, 158599, 163316, 167960, 170328, 174296, 178235, 154964, 158445, 161414, 164122, 170454, 173903, 177307, 152851, 158149, 163872, 167261, 170774, 173826, 178906, 154682, 157586, 163956, 163996, 168495, 175514, 178203, 154916, 157714, 161262, 166262, 169176, 174969, 177566, 153668, 158674, 161485, 165422, 171655, 175900, 177594, 153830, 159856, 161312, 165380, 170413, 175176, 176422, 155321, 157795, 160505, 164727, 171146, 173857, 176863, 152047, 158048, 160869, 166713, 168985, 172566, 176697, 152517, 158100, 161357, 167968, 171028, 174615, 178934, 153749, 157251, 163725, 165601, 171224, 174890, 178828, 152686, 157422, 161665, 167121, 169839, 175238, 177364, 155529, 156287, 163463, 164906, 171262, 173488, 179844, 152912, 159265, 160391, 164159, 168237, 173636, 177711, 152200, 157411, 162308, 167107, 170848, 174387, 178748, 152689, 158291, 160760, 167328, 170036, 173788, 178840, 154724, 156428, 163189, 166898, 168545, 175536, 176335, 155374, 156290, 160680, 166052, 168284, 174694, 179885, 153756, 157461, 163353, 164487, 169939, 173989, 176681, 153197, 159144, 161151, 166824, 168222, 175098, 178321, 154432, 157551, 163739, 166486, 171501, 174289, 177627, 154966, 158436, 160501, 167602, 168422, 173346, 176782, 152890, 157797, 162049, 164864, 170229, 175205, 178030, 154196, 158281, 161744, 167280, 171356, 175035, 176726, 152686, 157668, 163415, 165484, 171207, 173961, 177821, 154517, 158641, 162125, 166453, 168971, 173524, 178330, 152047, 159345, 160628, 167742, 169640, 175670, 176460, 153353, 156523, 163757, 165671, 171791, 175532, 177698, 152302, 156159, 160783, 167401, 169745, 175342, 178869, 153389, 157744, 161949, 166475, 170901, 174369, 176704, 152302, 157344, 162900, 166892, 170354, 175268, 178620, 152065, 158958, 160679, 165275, 170088, 173371, 179053, 152232, 159299, 162385, 165022, 171468, 175716, 178699, 154657, 157099, 162578, 164474, 168636, 173133, 179343, 153917, 157442, 162646, 167039, 171270, 175824, 179824, 152323, 158291, 161578, 167711, 171128, 173116, 178799, 153113, 158523, 162177, 167779, 168196, 175205, 178562, 152302, 158145, 161514, 165984, 169777, 175256, 176972, 151900, 158133, 160588, 167754, 171581, 175463, 176292, 155321, 156166, 160056, 166124, 168422, 174936, 177533, 152154, 155838, 161759, 166275, 169485, 174146, 180324, 152608, 159372, 163409, 167145, 168650, 172720, 178189, 153204, 159272, 162200, 167283, 171765, 172428, 179166, 154810, 159209, 160277, 167376, 171587, 175894, 177052, 152200, 157219, 162397, 167804, 170877, 173139, 177871, 153704, 155829, 163373, 165688, 168752, 175940, 178790, 152125, 156464, 160053, 164156, 169271, 174517, 179420, 154069, 159798, 160163, 166102, 168759, 172956, 178819, 155731, 157313, 162310, 166089, 169328, 176177, 179657, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 21453, 24085, 287, 1105, 448, 61135, 13929, 13, 151645, 151673, 151674, 151670, 155541, 158836, 163348, 166502, 168817, 174684, 180083, 151970, 158865, 161261, 164158, 168536, 175705, 177647, 154395, 158125, 162577, 164337, 171519, 174064, 178200, 152408, 159837, 160203, 167874, 171612, 173142, 177079, 155529, 157395, 163737, 167244, 169428, 172975, 176522, 152217, 159062, 160212, 167597, 168188, 174083, 178627, 153148, 159598, 161084, 165912, 171805, 174735, 179444, 152217, 158838, 161225, 167411, 171532, 175583, 178873, 152686, 157573, 162203, 167712, 170975, 174904, 179438, 154814, 156842, 162513, 164110, 171041, 173342, 176868, 155374, 157551, 161063, 167252, 171612, 175599, 177418, 152686, 155872, 161034, 167607, 171468, 173026, 178745, 152408, 157773, 163026, 164520, 171675, 173617, 177355, 153781, 156446, 162085, 164334, 170226, 173748, 176616, 153660, 159180, 163524, 165177, 169587, 174988, 178371, 154427, 155905, 160532, 164510, 171272, 172720, 177161, 155374, 158886, 161936, 165804, 170133, 173445, 177966, 154814, 158040, 162075, 167657, 169256, 175753, 179050, 153273, 157579, 160689, 166386, 169271, 175778, 177699, 152286, 155932, 161627, 165583, 172029, 174187, 177718, 152577, 159161, 160210, 166570, 168409, 173911, 178007, 155647, 156559, 162381, 167738, 171846, 172719, 180104, 153702, 156640, 161586, 165119, 170668, 173442, 178525, 154597, 159772, 162081, 166881, 168212, 173488, 179525, 153965, 156344, 163111, 165474, 168455, 176139, 178507, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 17938, 374, 279, 1429, 14720, 2530, 315, 1995, 11, 714, 429, 61703, 572, 8597, 3265, 311, 752, 13, 3085, 498, 389, 4479, 1431, 11, 279, 6534, 374, 2155, 13, 151645, 151673, 151674, 151670, 152686, 156884, 160596, 164680, 170735, 174866, 179561, 154220, 155930, 162755, 167023, 170000, 175443, 177060, 153842, 159273, 163952, 167299, 171103, 173424, 178421, 152232, 155986, 163771, 164153, 168527, 173837, 178268, 153120, 158445, 162258, 166799, 171410, 172352, 177269, 153333, 159828, 161312, 165891, 169867, 175933, 179152, 153825, 156619, 161081, 167294, 171375, 172456, 177798, 152686, 157372, 163160, 166797, 170579, 175801, 176406, 153660, 158846, 162209, 164596, 170133, 172263, 177395, 155529, 158977, 161024, 166915, 171199, 174635, 177453, 153524, 157417, 162774, 165271, 170266, 175232, 177076, 153525, 159835, 162497, 167348, 170735, 175751, 178485, 154814, 157031, 160623, 165657, 172002, 175211, 177108, 154220, 157801, 159895, 166477, 169888, 172672, 176657, 152408, 158560, 163580, 166057, 170314, 172726, 177370, 152686, 159231, 163094, 167396, 170468, 176111, 177636, 153197, 158150, 163417, 166033, 171133, 173842, 176485, 155374, 158865, 160493, 167619, 170967, 175205, 177422, 153559, 156658, 163411, 164154, 170391, 172377, 178991, 153660, 158749, 162785, 167759, 168536, 172605, 176504, 155374, 156971, 160760, 164991, 170066, 172229, 179402, 153559, 157229, 163018, 164451, 170387, 172956, 176363, 155647, 158150, 162724, 164053, 169545, 174823, 177988, 152302, 159510, 163052, 165709, 170645, 174007, 177484, 153900, 156504, 163369, 166461, 168879, 174607, 179803, 153660, 156559, 163465, 166926, 171837, 175444, 178221, 155647, 158436, 160936, 167789, 171519, 175981, 178956, 152232, 157635, 160035, 164131, 170878, 174589, 179927, 152845, 156639, 163719, 168044, 168689, 174294, 178050, 151965, 155928, 161025, 166483, 171095, 173880, 176902, 152851, 159828, 163437, 167920, 169403, 174403, 176739, 152384, 158675, 160364, 165499, 170700, 172982, 179713, 152063, 155776, 161459, 164066, 168495, 174995, 178948, 153525, 159555, 161312, 164912, 169100, 175604, 179673, 153113, 157607, 160889, 165278, 169401, 173441, 179233, 152408, 156201, 163794, 166443, 171270, 173827, 179154, 152737, 158571, 162476, 164875, 170611, 172391, 180248, 152408, 159390, 163887, 167148, 170848, 174562, 177143, 153382, 159323, 163719, 167106, 168847, 172719, 179156, 154517, 158133, 161305, 166423, 171777, 173566, 179721, 152225, 158893, 161686, 165202, 169310, 174261, 179153, 154810, 158783, 162896, 167176, 169975, 172352, 180206, 152686, 156210, 163368, 165568, 169153, 176229, 177279, 155374, 156983, 160085, 167641, 170857, 172502, 178691, 152777, 159417, 159903, 167157, 168519, 175727, 177976, 152236, 157283, 161610, 164189, 170490, 173097, 179172, 152047, 156278, 160663, 165227, 168914, 174750, 178830, 154517, 157295, 160079, 166458, 169069, 173241, 177406, 152232, 159078, 163950, 166835, 169867, 175143, 179605, 153382, 156290, 160897, 165411, 169642, 175306, 177772, 153781, 159393, 161103, 167824, 169181, 174634, 177479, 155647, 159078, 161327, 165224, 170402, 175781, 179037, 155641, 157113, 160504, 166443, 170235, 176220, 177584, 154829, 157344, 161154, 167576, 170226, 172352, 177274, 152686, 159342, 163198, 165148, 168927, 176061, 178065, 153559, 157099, 161638, 165466, 169251, 174118, 177834, 152890, 158278, 160787, 167586, 168264, 174092, 177098, 153541, 159574, 162458, 165598, 171577, 174740, 180316, 152240, 158103, 163320, 164310, 168454, 172270, 176471, 152561, 157469, 163814, 164764, 170713, 176236, 178426, 152851, 156245, 162897, 164507, 169584, 176209, 177823, 152548, 156888, 159947, 167439, 171763, 176101, 176591, 154682, 158489, 161338, 164331, 171794, 174013, 177883, 152084, 156207, 163684, 167171, 168776, 172721, 180258, 154432, 159360, 163752, 165919, 170727, 175342, 179580, 154810, 156646, 160771, 164823, 168734, 175602, 177723, 152408, 156639, 161775, 164741, 170810, 174391, 178122, 154517, 157950, 162489, 167846, 170454, 173572, 177188, 152047, 156996, 161501, 167428, 170651, 172184, 176724, 152686, 155981, 160996, 165203, 169335, 175554, 179676, 154294, 158062, 160899, 165017, 171265, 175309, 176884, 154335, 157895, 161174, 166309, 168932, 174509, 177674, 155080, 156644, 160366, 164415, 168673, 172719, 178445, 155321, 156737, 161133, 167640, 169585, 174318, 176651, 154294, 156848, 162564, 167321, 171468, 174066, 177157, 155080, 157916, 161020, 166651, 171886, 176012, 179044, 155131, 159665, 163306, 166170, 169114, 176114, 178397, 155647, 159524, 163544, 167218, 169256, 173611, 179154, 152408, 157299, 160489, 167712, 168666, 172414, 179182, 155647, 156644, 161267, 164120, 170848, 174962, 179268, 155651, 157773, 161010, 165101, 172052, 176142, 180321, 152450, 157762, 162897, 167735, 171455, 174772, 177838, 154682, 157281, 162332, 166377, 169463, 172630, 179434, 155117, 159025, 161027, 166816, 169903, 174941, 178980, 152408, 158720, 159964, 164119, 169300, 173724, 177193, 153382, 159002, 161038, 165199, 169545, 174938, 179556, 152985, 158977, 162912, 166613, 170732, 172844, 179500, 153226, 159468, 161459, 165555, 168560, 174303, 179674, 152686, 156180, 162694, 166162, 169161, 175580, 179950, 152232, 155933, 162380, 167519, 170514, 173180, 176751, 152580, 159867, 163490, 164807, 171245, 174294, 176999, 152302, 156368, 160049, 165120, 171265, 174349, 176972, 153825, 158026, 160827, 167891, 168532, 174871, 179389, 155175, 157989, 163425, 164852, 170859, 175414, 179377, 152408, 158725, 163190, 167668, 168734, 173012, 177013, 154797, 156278, 161984, 165706, 171557, 175778, 180272, 153529, 157354, 160053, 167991, 169783, 173790, 177232, 155669, 157032, 160935, 164105, 169320, 172411, 177782, 153781, 156640, 161639, 167608, 170028, 172449, 179389, 153288, 159309, 162397, 166502, 169611, 173718, 176823, 152899, 155851, 161038, 167425, 171313, 173878, 176307, 152281, 157530, 162592, 164300, 169799, 173426, 178882, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 15191, 64, 11, 879, 64, 11, 879, 64, 13, 15395, 277, 594, 87767, 374, 315, 806, 1828, 3259, 220, 1128, 1558, 432, 614, 311, 653, 448, 752, 30, 151645, 151673, 151674, 151670, 155390, 157731, 160300, 165328, 170538, 173002, 177946, 152836, 158059, 163201, 166517, 171809, 174599, 176699, 151958, 159173, 162437, 167336, 168605, 175050, 177812, 153875, 156160, 160812, 166417, 170668, 174699, 179492, 152127, 159161, 163097, 165182, 171449, 173374, 177132, 151738, 158118, 161620, 166931, 171748, 172968, 177064, 152699, 156644, 160317, 166025, 171917, 175075, 179131, 152127, 156558, 162703, 167105, 168195, 174629, 180230, 154101, 158619, 160887, 164812, 168172, 172428, 179365, 155519, 158596, 160877, 164448, 168430, 174745, 177563, 152699, 158689, 161203, 164771, 170067, 172597, 180109, 153634, 159387, 162524, 167906, 170674, 174539, 176867, 155689, 155853, 162554, 166219, 169515, 173650, 178694, 155753, 156368, 162742, 164100, 169230, 175407, 179599, 152069, 159655, 162495, 166341, 171455, 172919, 179311, 153668, 156959, 161443, 166077, 171563, 172733, 176684, 152836, 155816, 161640, 164978, 169335, 175820, 180038, 153034, 157621, 163289, 167603, 168288, 173915, 178841, 152495, 156644, 163934, 165418, 169859, 175435, 176655, 152760, 159264, 162193, 164733, 169951, 172691, 180004, 155606, 158702, 161883, 166695, 171507, 174891, 179092, 152777, 158475, 162427, 166360, 170173, 175920, 177477, 155529, 156587, 161022, 164270, 168409, 175957, 177777, 152909, 156732, 162132, 167591, 171884, 173421, 177305, 155374, 156182, 162067, 166397, 169143, 174821, 178903, 155427, 158612, 160817, 164926, 171763, 176190, 176797, 153657, 156028, 161398, 166253, 168932, 173099, 179086, 151967, 157120, 160052, 167370, 169495, 175816, 177535, 154814, 157779, 162052, 165309, 170067, 172966, 179804, 153825, 157938, 161406, 166754, 170579, 172740, 177495, 155529, 158350, 162064, 164941, 170915, 175827, 176504, 152686, 157938, 163440, 165055, 169359, 173306, 179088, 155606, 158242, 162110, 166942, 170438, 174544, 176515, 154553, 159012, 161038, 166379, 171618, 172895, 178017, 154914, 158315, 162360, 164815, 169842, 172429, 176422, 155374, 156182, 161650, 164666, 168470, 174205, 178504, 152425, 158704, 162153, 165712, 168650, 176000, 178257, 152689, 156076, 161596, 165611, 168364, 174125, 176455, 153529, 155819, 163925, 166309, 171565, 174404, 177222, 152232, 156968, 162545, 165551, 170336, 173629, 178242, 155516, 159445, 160687, 166719, 168422, 172449, 176424, 154517, 157956, 160524, 165684, 171194, 173654, 178143, 152466, 159798, 160595, 164585, 169916, 174909, 178239, 155089, 155827, 163076, 168044, 169415, 173104, 177666, 154042, 156188, 163948, 165830, 168975, 172236, 176556, 153668, 158360, 161184, 167492, 168983, 175402, 178340, 154682, 158225, 161282, 165634, 169569, 172314, 178340, 153668, 159176, 163522, 167242, 168770, 174236, 179780, 152851, 158552, 163074, 165737, 170077, 172816, 177409, 151958, 155813, 160504, 165994, 169462, 173946, 177683, 154420, 155801, 162190, 165929, 168651, 174571, 179299, 151701, 156803, 161075, 165287, 168693, 175765, 178692, 152408, 157584, 161865, 167594, 168354, 173214, 179135, 155606, 156559, 160048, 166918, 170638, 173823, 179420, 155529, 158054, 161456, 164685, 168575, 175426, 176304, 152047, 159089, 160157, 167641, 169707, 174190, 177064, 152686, 156388, 161696, 164705, 169850, 174678, 178259, 153878, 158530, 163074, 165035, 169013, 173302, 179055, 154427, 157270, 160057, 164333, 168158, 173382, 177212, 152425, 159782, 161481, 164405, 169161, 175223, 180109, 154448, 158275, 161091, 164172, 168590, 173689, 179983, 152065, 156928, 162375, 167478, 171375, 175526, 177199, 153276, 156347, 161638, 167237, 171573, 172249, 179282, 153965, 158580, 162735, 165849, 170672, 176139, 178238, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3862, 1033, 3807, 9363, 11, 714, 15503, 279, 27682, 315, 279, 274, 1134, 13, 358, 22477, 807, 19110, 429, 358, 4172, 614, 279, 1910, 882, 369, 419, 2618, 1283, 23592, 287, 438, 15358, 10304, 53284, 13, 151645, 151673, 151674, 151670, 155516, 159856, 163874, 166905, 168575, 172788, 178897, 153380, 156168, 160833, 166032, 170460, 175211, 179184, 153452, 156164, 163665, 167915, 168909, 172640, 179967, 154298, 158460, 163427, 166979, 172028, 172888, 179315, 153498, 157539, 161616, 167241, 170771, 176235, 178722, 154209, 159088, 160006, 164053, 170716, 172348, 178310, 152286, 157381, 162111, 164852, 172029, 173967, 177717, 154724, 156405, 161915, 167502, 170307, 173408, 176984, 152909, 156362, 160297, 167066, 169387, 173909, 178206, 152686, 157025, 163576, 166931, 170931, 175957, 178759, 154829, 159511, 162583, 166542, 171375, 172245, 177256, 154257, 156587, 160910, 166872, 170226, 172881, 178132, 154394, 158876, 161205, 166801, 170579, 172889, 178243, 154822, 159438, 163158, 167952, 168985, 175756, 176545, 153620, 156425, 161204, 167124, 171699, 172697, 178198, 155081, 158274, 163840, 165005, 168752, 174216, 176999, 153559, 158845, 161159, 166102, 168879, 173477, 177666, 153889, 158749, 160615, 167345, 171410, 173874, 177492, 155652, 159421, 162310, 167615, 171455, 174810, 176515, 155774, 158948, 162285, 167169, 170370, 172671, 178725, 155519, 158734, 160199, 167056, 169629, 173914, 179512, 152909, 156692, 161110, 164835, 168376, 175940, 177445, 152323, 156781, 160716, 166495, 170512, 175869, 179314, 154613, 159034, 160277, 166912, 168849, 173873, 178926, 155488, 159843, 162655, 166168, 168870, 175131, 179216, 154614, 155780, 162101, 168043, 172105, 174993, 176608, 155688, 158366, 163199, 164273, 169163, 174450, 180133, 152686, 158936, 162447, 164671, 168901, 173861, 178454, 154829, 159272, 160567, 165577, 171837, 173323, 177213, 154448, 159558, 161364, 164201, 170402, 174800, 178697, 152686, 156820, 161288, 166431, 170107, 173531, 176717, 153248, 158388, 162927, 166643, 170563, 174360, 179289, 153273, 156385, 163128, 167125, 172139, 174759, 178318, 155083, 159753, 162220, 166959, 169653, 172970, 177310, 152911, 158026, 160804, 164698, 168419, 173020, 177676, 154966, 158893, 162481, 164942, 168191, 173466, 176825, 154413, 156278, 161532, 164411, 170938, 173815, 176297, 152684, 156229, 163404, 165292, 170493, 174670, 177442, 152686, 158670, 163100, 166756, 168575, 172929, 176942, 154448, 156079, 163772, 166671, 168636, 175230, 179478, 155529, 157219, 161894, 165141, 168098, 173488, 178711, 154127, 156418, 161333, 166880, 168927, 172317, 177091, 152232, 156812, 163234, 164181, 170652, 172869, 180276, 151891, 158741, 161174, 165177, 168077, 174727, 179858, 155464, 158141, 160163, 167600, 168218, 176214, 179186, 152170, 159819, 161210, 167493, 169063, 174007, 177584, 152930, 156760, 162134, 164905, 168316, 174187, 179687, 154230, 158982, 161895, 163999, 171460, 173826, 179906, 154318, 159270, 161818, 164056, 171990, 174254, 179282, 155561, 158624, 161425, 166077, 169337, 172444, 176265, 151966, 155829, 161866, 164444, 171464, 176203, 177179, 152450, 155907, 162882, 164351, 170810, 175117, 180158, 154666, 158782, 160951, 165006, 168743, 174870, 177798, 155441, 156139, 160646, 166277, 168147, 174051, 177838, 153231, 157550, 160172, 164002, 171862, 173762, 177157, 154724, 155967, 161577, 166863, 168152, 174156, 177723, 153034, 156066, 160778, 167635, 169415, 173886, 178518, 155271, 157634, 163425, 165633, 171050, 175470, 179775, 154600, 158148, 160795, 167249, 168578, 173828, 177976, 152613, 157058, 160010, 167494, 168326, 175751, 178334, 154222, 159063, 160486, 164435, 172105, 175580, 177837, 155606, 157054, 161000, 164086, 170438, 172592, 176361, 152170, 158872, 162626, 166537, 170105, 172687, 178830, 154413, 158484, 162297, 165826, 168566, 173517, 177622, 155529, 156559, 160354, 167635, 169807, 173747, 178310, 153559, 157978, 163026, 167521, 169441, 174294, 180036, 153394, 155780, 162614, 166379, 171999, 175783, 179831, 153749, 158917, 161606, 167366, 169710, 174061, 178351, 154829, 158586, 163727, 165379, 168927, 174852, 177627, 152425, 159293, 161128, 164429, 170349, 175365, 176875, 154395, 156812, 162148, 166479, 170938, 175176, 180035, 153623, 158423, 160815, 164855, 168847, 175792, 179950, 152686, 158235, 160520, 164922, 171378, 175258, 176276, 153151, 158951, 162535, 167477, 168495, 172903, 180198, 152836, 156932, 162134, 165965, 168392, 174876, 177796, 152232, 158124, 161833, 165396, 169653, 172241, 177874, 151828, 155983, 162843, 164883, 170460, 175504, 177607, 152577, 158595, 162410, 166244, 171497, 172702, 177457, 155056, 156538, 163609, 165088, 168958, 175081, 177352, 155519, 158936, 161157, 166353, 170277, 174362, 176269, 154829, 159387, 163605, 166203, 168205, 175879, 180340, 154681, 159467, 160864, 167578, 171048, 174800, 177891, 153559, 157895, 161038, 167950, 170155, 173888, 178102, 155748, 157671, 161718, 167380, 169867, 174242, 180052, 154427, 157938, 162283, 166148, 169777, 175226, 177875, 155126, 156697, 161599, 167238, 169313, 173280, 178532, 152408, 157214, 160661, 165181, 171128, 176008, 179603, 155374, 156974, 162592, 164861, 171850, 175836, 180047, 153498, 156287, 160658, 168015, 168673, 173342, 178941, 155116, 157845, 160898, 164228, 168527, 172535, 179685, 154420, 157574, 161902, 164906, 169364, 174513, 179893, 152577, 157938, 161483, 164328, 170226, 173335, 179935, 152869, 156362, 160351, 166209, 170772, 173336, 178082, 155126, 158081, 162171, 164346, 170669, 173582, 177007, 153749, 157422, 162522, 166765, 168663, 175391, 176994, 155529, 157607, 161616, 166171, 168376, 175306, 178552, 152892, 158283, 163228, 166326, 171581, 173495, 179895, 155194, 159477, 160568, 166150, 169758, 174260, 177318, 152985, 158199, 161646, 166594, 171862, 173041, 179125, 152486, 158871, 161691, 167934, 169745, 174253, 177232, 152006, 157002, 163262, 164015, 169728, 172469, 177992, 153529, 157422, 162665, 165224, 171115, 174389, 179015, 155116, 159816, 161691, 166678, 171612, 174583, 179840, 155529, 156137, 160323, 164416, 169166, 174227, 177843, 155680, 158172, 163286, 167067, 169872, 174242, 178813, 152408, 159775, 160132, 166799, 172063, 174028, 177305, 152232, 157817, 161496, 164399, 171786, 172932, 177572, 153708, 157871, 160596, 167640, 168420, 175947, 180200, 151770, 158737, 160433, 167968, 168437, 175232, 178879, 152829, 159867, 161895, 165389, 171131, 176183, 177048, 152281, 156976, 160782, 166223, 170672, 175356, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 7039, 33976, 11, 279, 66571, 374, 62577, 448, 419, 943, 315, 18145, 13, 10964, 8036, 3041, 1603, 315, 16694, 1172, 8683, 311, 11167, 5577, 438, 83642, 13, 151645, 151673, 151674, 151670, 154673, 159325, 161338, 166004, 170123, 174821, 178187, 153123, 156103, 160728, 166005, 171497, 175975, 177439, 151958, 159036, 161244, 164870, 170650, 175688, 179062, 153394, 158061, 160393, 166982, 171434, 175679, 180181, 152874, 158261, 160742, 165124, 168744, 173268, 179718, 154164, 159550, 160382, 165384, 168765, 174526, 176328, 155359, 157730, 163572, 165633, 170049, 173408, 177843, 155766, 157008, 162134, 167595, 170460, 174422, 178922, 154299, 159336, 162075, 163969, 168431, 175249, 177216, 153686, 155885, 160741, 164479, 171763, 175219, 180058, 155441, 157714, 161948, 167870, 169176, 174921, 179595, 153731, 156240, 161744, 167952, 169056, 173738, 180095, 154185, 156599, 163956, 165692, 170652, 174224, 177094, 154132, 158775, 163447, 166079, 171611, 173521, 178353, 154209, 158560, 161244, 167376, 170859, 173112, 177171, 155678, 159711, 162740, 164827, 169017, 174597, 179738, 151806, 158762, 160043, 164982, 170666, 173338, 177824, 154758, 158474, 162239, 166455, 169342, 172372, 177443, 153860, 158029, 159908, 164621, 171103, 175851, 177541, 151959, 157486, 160107, 165838, 171078, 173491, 176663, 153887, 156278, 162722, 166598, 170938, 174969, 178147, 151891, 157965, 162752, 166616, 171265, 172616, 179638, 151933, 158529, 160311, 166703, 168222, 174815, 177469, 154327, 157708, 163250, 164643, 168963, 175079, 179129, 154298, 158770, 162002, 166829, 168566, 176151, 179696, 153042, 158855, 162221, 166150, 170334, 173413, 176891, 153179, 158224, 163308, 164984, 169758, 172183, 178388, 154188, 158665, 161348, 166501, 168663, 175226, 179296, 154298, 157252, 161393, 167322, 169168, 173312, 176710, 151844, 159390, 159907, 167172, 169299, 173223, 178790, 155308, 156348, 161156, 166444, 168606, 174407, 178532, 154204, 158614, 163060, 166979, 170453, 173090, 177214, 155211, 157510, 163948, 166924, 169149, 175325, 177152, 153228, 158141, 163119, 167983, 171063, 175158, 178817, 155083, 159272, 163477, 166251, 171124, 173914, 179868, 154874, 159574, 162486, 166618, 169281, 173153, 179503, 153559, 156702, 161774, 165711, 168521, 175432, 177854, 154115, 157998, 160518, 165039, 168428, 174278, 177806, 152307, 157176, 159939, 168026, 168934, 174858, 177704, 152000, 157581, 161063, 165276, 168418, 175032, 177099, 155569, 156032, 162876, 167030, 171035, 174635, 178694, 152899, 158646, 159946, 165462, 169863, 174067, 179126, 152069, 156163, 161733, 165946, 169986, 172636, 177138, 155441, 156139, 163263, 167242, 169979, 174529, 178726, 152851, 159050, 161726, 164295, 169197, 175507, 176834, 154916, 157193, 161293, 165634, 170040, 173626, 178340, 152851, 155939, 163293, 165535, 170366, 176168, 178340, 154916, 159367, 161956, 165358, 168217, 173173, 179780, 153668, 156139, 161956, 166325, 169842, 175810, 177822, 152112, 156495, 161627, 165040, 170874, 175612, 179304, 152671, 159276, 163514, 165922, 169695, 172179, 177991, 152307, 158149, 163905, 166370, 170977, 172967, 180030, 154539, 159244, 162032, 167478, 169933, 172782, 179791, 154932, 159146, 160549, 167065, 169340, 173755, 179314, 153380, 158855, 163809, 164870, 168519, 175163, 179650, 154420, 159775, 162660, 166928, 171009, 175552, 177871, 152082, 157343, 162917, 167730, 171464, 173955, 179126, 153670, 157440, 162538, 167246, 168411, 175761, 179579, 153577, 157180, 160560, 166330, 169703, 173069, 176273, 153589, 158362, 162734, 164641, 169480, 175323, 177196, 153034, 159300, 163771, 166035, 170818, 173174, 178283, 154420, 159466, 161980, 166171, 171862, 173568, 177312, 153380, 157669, 163314, 164369, 171602, 176003, 180298, 152170, 159414, 161908, 167743, 168218, 175173, 178441, 154914, 158177, 163577, 165818, 169149, 173717, 176903, 154420, 156343, 159980, 167748, 168636, 175124, 178221, 152975, 156368, 161681, 166051, 169507, 175491, 180154, 152259, 158063, 160224, 165594, 171967, 174905, 178196, 152005, 158114, 159937, 164342, 170028, 174407, 176753, 152186, 155993, 160242, 166522, 170854, 175110, 177897, 154710, 156151, 163135, 167999, 168335, 172991, 177408, 153098, 157920, 163436, 164425, 169900, 174368, 180287, 152133, 159265, 161201, 164711, 169733, 173603, 177422, 153034, 157445, 161217, 166550, 168283, 176142, 177919, 154327, 158336, 162703, 168003, 168650, 172833, 180313, 152005, 157052, 161895, 165950, 170055, 173405, 176668, 153098, 157351, 163731, 166375, 170848, 174499, 176500, 151881, 159390, 161297, 168033, 170568, 175669, 178344, 152921, 158046, 160014, 165202, 169443, 172279, 177247, 151959, 156908, 160173, 167471, 169731, 173268, 176976, 153853, 156883, 160995, 167516, 171866, 174789, 176774, 153018, 159297, 163484, 164342, 170773, 173600, 178112, 153853, 159115, 161226, 164082, 169350, 173983, 180230, 154204, 158241, 162472, 167069, 170713, 174486, 178283, 152125, 157761, 161315, 167058, 169639, 173747, 179185, 155507, 156812, 161460, 164208, 168656, 174340, 179583, 152186, 158566, 162919, 165427, 168927, 174974, 177659, 154420, 159533, 159998, 167253, 170711, 174681, 176612, 152884, 158977, 161157, 165531, 171653, 174615, 177507, 153528, 156774, 163831, 166925, 170912, 174826, 178991, 154664, 155931, 159881, 165209, 169600, 172956, 180086, 155552, 157562, 160545, 166882, 170781, 175123, 179230, 155656, 158760, 159934, 167590, 168712, 175073, 177707, 153327, 155826, 161353, 167497, 170429, 173136, 178188, 152125, 157519, 160762, 165134, 170306, 174187, 176999, 155753, 159620, 160756, 166207, 170108, 174352, 180072, 151698, 158535, 162125, 164043, 169700, 175030, 177179, 155660, 156201, 161385, 165262, 168134, 175761, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 43079, 279, 10477, 8736, 388, 879, 75820, 37179, 6540, 64779, 11, 1340, 3545, 702, 4271, 11561, 304, 5591, 13, 4329, 1977, 429, 438, 1293, 438, 1052, 374, 11372, 311, 387, 1865, 11, 1052, 374, 4302, 1340, 2765, 944, 32204, 311, 4559, 13, 151645, 151673, 151674, 151670, 151898, 156201, 161284, 166243, 170378, 173843, 179484, 155488, 159408, 162763, 165918, 170459, 173583, 176807, 155126, 159767, 159882, 164035, 168226, 174149, 180267, 153353, 155998, 160313, 166030, 169122, 176132, 180136, 152686, 158062, 162740, 167362, 170402, 175486, 177347, 151848, 158668, 163029, 164620, 169221, 174849, 177125, 153123, 156304, 160049, 164814, 168068, 174730, 179578, 154829, 159740, 160428, 165115, 171877, 172753, 177584, 152302, 159273, 163185, 167016, 171318, 175530, 177025, 153240, 156446, 160502, 167112, 169889, 173676, 177970, 154810, 159821, 161088, 164837, 170735, 173166, 177650, 152686, 158908, 163234, 166465, 168064, 172396, 179785, 155461, 156658, 160188, 164721, 170089, 172243, 177745, 153657, 156205, 162425, 165223, 169507, 175620, 177939, 155374, 156151, 162979, 165634, 170155, 174111, 177221, 152302, 159531, 162466, 166383, 171181, 172676, 180259, 155647, 158291, 160682, 166208, 168098, 175347, 177677, 154797, 156479, 160754, 166423, 171565, 173350, 178650, 154395, 158319, 162699, 165536, 168847, 173680, 180202, 154797, 159039, 161140, 167084, 171765, 173694, 178264, 152154, 158753, 160621, 167162, 169953, 174590, 178572, 152302, 157665, 162980, 167528, 168430, 174489, 179993, 153562, 158046, 160056, 164643, 168637, 173739, 177174, 152686, 157451, 161181, 165061, 170421, 173557, 177835, 153240, 158916, 163063, 164337, 171588, 174924, 177052, 153353, 157267, 162917, 166817, 171339, 174262, 177711, 152408, 155976, 161796, 164580, 168090, 174919, 177022, 154427, 156142, 159932, 166918, 170388, 172160, 178044, 152125, 157251, 162173, 166880, 169922, 173954, 178235, 151742, 157797, 163872, 167885, 168529, 175981, 179983, 155661, 157456, 161019, 166915, 170666, 172410, 177607, 155680, 158232, 161926, 165285, 169271, 172487, 178342, 152247, 157554, 163572, 167487, 169466, 174138, 177216, 155111, 157168, 161911, 165870, 170810, 172324, 176420, 153892, 156991, 161820, 164138, 168891, 175194, 179498, 153972, 158074, 161787, 165858, 171207, 174006, 176823, 153308, 155797, 162115, 167990, 169711, 174512, 177584, 154413, 158092, 160183, 166247, 168171, 175064, 178110, 153749, 157565, 160490, 165836, 170947, 175368, 178345, 153900, 156696, 160372, 166395, 172105, 172998, 176568, 153382, 157042, 161379, 164159, 169920, 174361, 178856, 152408, 159774, 163943, 165196, 172073, 175421, 176599, 153382, 156278, 162361, 164197, 169642, 174352, 179579, 151848, 156848, 163872, 166995, 168422, 172652, 178844, 155380, 155922, 162685, 166060, 172090, 175513, 177831, 152224, 156665, 161309, 165882, 169714, 174063, 177873, 154220, 159716, 163054, 166826, 171208, 173532, 179199, 152879, 156928, 160743, 166781, 171265, 173446, 180246, 152985, 156735, 161410, 164250, 168590, 174610, 177315, 154032, 159078, 162460, 165801, 170402, 174212, 179905, 153333, 158982, 162606, 166252, 171204, 174644, 179154, 152985, 158642, 163715, 164947, 171990, 173547, 178174, 155117, 159349, 162526, 164783, 172060, 174227, 178986, 152486, 156096, 162535, 165512, 170064, 173312, 178132, 154292, 157099, 160192, 165165, 171142, 174720, 180161, 151706, 158002, 162823, 167970, 169181, 175515, 177973, 152686, 155792, 160679, 167738, 169100, 172542, 178081, 153900, 157579, 162023, 165022, 170334, 176057, 176717, 154776, 159258, 162668, 165778, 170323, 176062, 180284, 153466, 156812, 161537, 167279, 168195, 175239, 178129, 154916, 157586, 163882, 165261, 169551, 173794, 177216, 153972, 157049, 162605, 167976, 171794, 174826, 179789, 154200, 159702, 163230, 165942, 171149, 173737, 177061, 154682, 159702, 162882, 165278, 169176, 175015, 177238, 155680, 158092, 161153, 164852, 171142, 176040, 178816, 153273, 157652, 161980, 167950, 171164, 172644, 177131, 155188, 159800, 162531, 167926, 169073, 173098, 177017, 152686, 156302, 160414, 165753, 170666, 174227, 177699, 153240, 157223, 162075, 167635, 170422, 172377, 178226, 152714, 158977, 162017, 166803, 171565, 174833, 180060, 152985, 158855, 159951, 166549, 168847, 172604, 178074, 153333, 159438, 163817, 164930, 168847, 174095, 179394, 155123, 158886, 162574, 166113, 168566, 172856, 178594, 153825, 158634, 161731, 167512, 168447, 176045, 179966, 154220, 157776, 161656, 166955, 169100, 172227, 178294, 153749, 158371, 163321, 167098, 169660, 175891, 178674, 153825, 157153, 160895, 165340, 171587, 175682, 177801, 154797, 156559, 162093, 165635, 169196, 172897, 179546, 152302, 156456, 163951, 164028, 172088, 173985, 179569, 153425, 157579, 159941, 164764, 168351, 175379, 178372, 154305, 155950, 161640, 167268, 171619, 175446, 180036, 153900, 159213, 162740, 163978, 169888, 172251, 180304, 155651, 157489, 163842, 165857, 170314, 172427, 176374, 153382, 159594, 161762, 164019, 170314, 174006, 176499, 153702, 156512, 161133, 164457, 168727, 174786, 178042, 153333, 156732, 162134, 164422, 170547, 175047, 176427, 154517, 158771, 160276, 166866, 168596, 174086, 176773, 154432, 156619, 160203, 165548, 170909, 174410, 178206, 152302, 158291, 163767, 164087, 170089, 172967, 180214, 152232, 158046, 163602, 165614, 168527, 173582, 176916, 153389, 158431, 162132, 165131, 171856, 174013, 178525, 155730, 158253, 162514, 165130, 172038, 173556, 180220, 152548, 156347, 163965, 167103, 171149, 172161, 178509, 154612, 159552, 162382, 168060, 171840, 175136, 178499, 154200, 159594, 160116, 167839, 171149, 174013, 179671, 152194, 158866, 160093, 164541, 169626, 176086, 179423, 154797, 155782, 162677, 168018, 170287, 174305, 176794, 154395, 156278, 161453, 165549, 168590, 175753, 179908, 152985, 157344, 162458, 165424, 169793, 175713, 178344, 152302, 156846, 162460, 165107, 171953, 172263, 176359, 152879, 157526, 161690, 167791, 168847, 175193, 177284, 152686, 156644, 161961, 166824, 170614, 176045, 180136, 152408, 158092, 161762, 166564, 170761, 172550, 180157, 153179, 159839, 161501, 165656, 170133, 173870, 176717, 153240, 158026, 163002, 167815, 170118, 174183, 177422, 154242, 159150, 163340, 167950, 170336, 176065, 177408, 152917, 157394, 160056, 166651, 170977, 173344, 177629, 154294, 156940, 162544, 165210, 170977, 172166, 179745, 155647, 156644, 161972, 165773, 171561, 173421, 179433, 152796, 156737, 160236, 166671, 170154, 174545, 178277, 152985, 156758, 162982, 167657, 168590, 173121, 178443, 154215, 157032, 162658, 164061, 168575, 172196, 176886, 152985, 159406, 161687, 167224, 169867, 174843, 177045, 155529, 156418, 162583, 166872, 169985, 174214, 178459, 152408, 157343, 161679, 167185, 168847, 174965, 179828, 153179, 156878, 161604, 167321, 171931, 175742, 179057, 155380, 158856, 161804, 165214, 169219, 173143, 176829, 152281, 155999, 160639, 165041, 169799, 173672, 178110, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2132, 594, 3709, 9255, 11, 498, 1977, 220, 358, 2666, 6915, 13, 151645, 151673, 151674, 151670, 152686, 159849, 163701, 166094, 168575, 175697, 176918, 155606, 157761, 162519, 167976, 171237, 176182, 178514, 154054, 159078, 162932, 165650, 171318, 174725, 178826, 152425, 156466, 162698, 166117, 169989, 172279, 179707, 153456, 155917, 161157, 167485, 169328, 173544, 179929, 153657, 158165, 163732, 165510, 169093, 175195, 178756, 154814, 158224, 161266, 164393, 170512, 172969, 177756, 152047, 157841, 162796, 164131, 170994, 172885, 176967, 155606, 158026, 160149, 164136, 168148, 172348, 178272, 155529, 157095, 161679, 165394, 168129, 173445, 180331, 155126, 156744, 161048, 166818, 170702, 176066, 178262, 154870, 158127, 163576, 164145, 169244, 176174, 178709, 153962, 157066, 160402, 165332, 171049, 175404, 179822, 152069, 158952, 160058, 166077, 171529, 173865, 180128, 154682, 158668, 161070, 164345, 170513, 174528, 180198, 155405, 157409, 162336, 166555, 169456, 173524, 177878, 152787, 158698, 162882, 164019, 170292, 175177, 177189, 154682, 159771, 162534, 164176, 168541, 173077, 177129, 154543, 158092, 161262, 164885, 169090, 174867, 176831, 155126, 156995, 162922, 167739, 170977, 173998, 179073, 152408, 157854, 160727, 165220, 171869, 174975, 177216, 152686, 156130, 162924, 165433, 170711, 176122, 178879, 155194, 159087, 162327, 166269, 170266, 173747, 180016, 152686, 157779, 163769, 164731, 168239, 175164, 177651, 155126, 158982, 162978, 165409, 170064, 172770, 179023, 152425, 156476, 161680, 166218, 171423, 172572, 178151, 153965, 158199, 160865, 164243, 168455, 176139, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 785, 1459, 315, 10219, 374, 311, 17331, 518, 264, 6291, 13, 6771, 594, 3931, 279, 2613, 3061, 323, 3271, 311, 279, 1790, 1459, 13, 151645, 151673, 151674, 151670, 154448, 156230, 162807, 167665, 170915, 172232, 180067, 151905, 155930, 163039, 167934, 168271, 173290, 179134, 153749, 158092, 163156, 166406, 169093, 173286, 176359, 154814, 158242, 161216, 164147, 170340, 176235, 178842, 153749, 156836, 160064, 166516, 169993, 172331, 176900, 152047, 156038, 163052, 167269, 169855, 172572, 179343, 153389, 155961, 159933, 164131, 169320, 175097, 179308, 153559, 159281, 162593, 166550, 169341, 172599, 179051, 151848, 157267, 159993, 164762, 170865, 175662, 178901, 153749, 157148, 162918, 165710, 168566, 173670, 176867, 153240, 157349, 162327, 166634, 169044, 174294, 178235, 155455, 157344, 161088, 167294, 171165, 174527, 179075, 153382, 158141, 160673, 167657, 170920, 175666, 176945, 152306, 159861, 163227, 167748, 171512, 173029, 176489, 154814, 157345, 161565, 164247, 168536, 173467, 177992, 154220, 158218, 163232, 167699, 170907, 174709, 177897, 152408, 159312, 163625, 165359, 171356, 175972, 178311, 154448, 157169, 161587, 167198, 171581, 172850, 177971, 155529, 157563, 161113, 164350, 168070, 174983, 179787, 153559, 155810, 160060, 167657, 169428, 175833, 180348, 154814, 159424, 160741, 165538, 169862, 174172, 176846, 153825, 156168, 161748, 167154, 171012, 176219, 177892, 155645, 158704, 161291, 167454, 168566, 175229, 176777, 155735, 158615, 160768, 165526, 171505, 174294, 179832, 153388, 159231, 160668, 164176, 169485, 173195, 178453, 152899, 157933, 160805, 166421, 168244, 172762, 176414, 152038, 157797, 160855, 164044, 170436, 172728, 177537, 155774, 155783, 161252, 165333, 168467, 173160, 179457, 154682, 158097, 161744, 166561, 168412, 175230, 176610, 155441, 157925, 161594, 167700, 170068, 172248, 176540, 154682, 159618, 163303, 165904, 168153, 172661, 180074, 154814, 159167, 162042, 167727, 170406, 173819, 179154, 155529, 158242, 161761, 168037, 170173, 175221, 178105, 153559, 157715, 162064, 165824, 170239, 173672, 178898, 154829, 158091, 161201, 164436, 168726, 173661, 177390, 155529, 157460, 161122, 166443, 170530, 173150, 179728, 153559, 157761, 159919, 165762, 171140, 175199, 179932, 155198, 157099, 159907, 163995, 171012, 172363, 176348, 152224, 156231, 162787, 167775, 170930, 172271, 178604, 154220, 156130, 162192, 166189, 171938, 175296, 177011, 154839, 157375, 160382, 167515, 171265, 172913, 177603, 154189, 159480, 163839, 167775, 170797, 173574, 178151, 153525, 156680, 160718, 164614, 172155, 174662, 176606, 155455, 159180, 161386, 165728, 171181, 173421, 176483, 154746, 158959, 160099, 164060, 168275, 172788, 176884, 152171, 157219, 162547, 167020, 169153, 175902, 177837, 155374, 159497, 160005, 167212, 171124, 172173, 178775, 152985, 156000, 160084, 164601, 170247, 173307, 177219, 152302, 157071, 160761, 167978, 169888, 173484, 177519, 155352, 159380, 163049, 166651, 171334, 172706, 180337, 155374, 158423, 161961, 167353, 169149, 173976, 178855, 153382, 159749, 161456, 165134, 170585, 175205, 177488, 153525, 159227, 161626, 166523, 168264, 175124, 179778, 153197, 157938, 162971, 165483, 168119, 175133, 177287, 153080, 156362, 160217, 166566, 171212, 173984, 176864, 152039, 156940, 163195, 167514, 169147, 172405, 177916, 155766, 157334, 163212, 167960, 169428, 174294, 179525, 155111, 158226, 162115, 165735, 170774, 172161, 177497, 151966, 159222, 159883, 167389, 169592, 174403, 179643, 152281, 157604, 163701, 166223, 170672, 175608, 180215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 13159, 421, 35405, 30789, 11, 1251, 686, 1490, 429, 1846, 6398, 525, 678, 20119, 315, 6210, 3874, 71, 2122, 323, 1401, 369, 902, 4623, 16148, 1091, 11799, 315, 16396, 13, 362, 5538, 7806, 657, 91911, 590, 315, 279, 23603, 323, 5019, 304, 432, 553, 279, 2732, 315, 328, 3389, 84, 686, 1281, 2704, 315, 429, 13, 151645, 151673, 151674, 151670, 154448, 158479, 161607, 166298, 168907, 175413, 178380, 152047, 157579, 159943, 167341, 172013, 172829, 176625, 153749, 158602, 160976, 166328, 171008, 174921, 179618, 153698, 158357, 161592, 167152, 169327, 175900, 179867, 153830, 158184, 161854, 167980, 171793, 175621, 176273, 154220, 155789, 163414, 164187, 170938, 176135, 176512, 153525, 157771, 163692, 164841, 168126, 175782, 176318, 152686, 156040, 163757, 165973, 170248, 172601, 176979, 152232, 155890, 159993, 167635, 169867, 174754, 178587, 152047, 157880, 162028, 165299, 171519, 172940, 180097, 153240, 157830, 162879, 166585, 171153, 173376, 176954, 155455, 156971, 160811, 165773, 168575, 172529, 177450, 152985, 157788, 163005, 164671, 168215, 175728, 179059, 152224, 156681, 162359, 164090, 169485, 173925, 177885, 153660, 158436, 163611, 166452, 170930, 175444, 179721, 154220, 157365, 162759, 165489, 169629, 172175, 178218, 151898, 158876, 163945, 166002, 170913, 174390, 179169, 153887, 158751, 162680, 164545, 171245, 173823, 176473, 153853, 157008, 163026, 166230, 171968, 173326, 178879, 154897, 157003, 161586, 167517, 168151, 172229, 176305, 154682, 158489, 161036, 166544, 168412, 175077, 178250, 155441, 157193, 160677, 167376, 168321, 172591, 178749, 154342, 157975, 162133, 166089, 169046, 173194, 176830, 155264, 156639, 160294, 165874, 170607, 174838, 179526, 153525, 159711, 160749, 165358, 169622, 172601, 179316, 152466, 157911, 161373, 164648, 170475, 174031, 177249, 154814, 159145, 161834, 166347, 171208, 175517, 177563, 155606, 158724, 163754, 168004, 168148, 173459, 179932, 153382, 156142, 162111, 166528, 169364, 173967, 177984, 154448, 157573, 162129, 165632, 172070, 174332, 178759, 152985, 157689, 161064, 165712, 171217, 173717, 178713, 154171, 159785, 162302, 168052, 168801, 172197, 179785, 154814, 159306, 162606, 166692, 168470, 172681, 177436, 154448, 157219, 163082, 166883, 168909, 174490, 177491, 155529, 157044, 163626, 167155, 170915, 174187, 180032, 151983, 159496, 163903, 166655, 168969, 175992, 179382, 152879, 157066, 163658, 164788, 170666, 175907, 176868, 154829, 156968, 162559, 167392, 171356, 173141, 176315, 154220, 159629, 161096, 167127, 171565, 174119, 179500, 154810, 159365, 161999, 164545, 168887, 176038, 179059, 153498, 156287, 163187, 166605, 168863, 176059, 177611, 153953, 157168, 161106, 164331, 169630, 173550, 179716, 155168, 155787, 163765, 165623, 168277, 172359, 178834, 155687, 156696, 161677, 164235, 171171, 174522, 178616, 155194, 156639, 161971, 165389, 170186, 174461, 178517, 154822, 157950, 162537, 167715, 171884, 174583, 178317, 153197, 157371, 161917, 164027, 168191, 173739, 176483, 155687, 158118, 163596, 164484, 168320, 173199, 178616, 154220, 156303, 162996, 165468, 171998, 175255, 178899, 152985, 156205, 160576, 167866, 170666, 174779, 177713, 154448, 159530, 163340, 164126, 169911, 175580, 176841, 155516, 158949, 163652, 166946, 170759, 173934, 178812, 152408, 156562, 162470, 166919, 170761, 173599, 178746, 153749, 157054, 161612, 167400, 171103, 172951, 179483, 152879, 156308, 162702, 167017, 168174, 174589, 177466, 152985, 156318, 162624, 167007, 171675, 173184, 177957, 152408, 157938, 162430, 167938, 168385, 175904, 179692, 155748, 158819, 163814, 164926, 172094, 174694, 177814, 155688, 156672, 160615, 164726, 170959, 174896, 176326, 151724, 159669, 162675, 168011, 168409, 173658, 176377, 153384, 156368, 163367, 167982, 169397, 172999, 178116, 152084, 158613, 161604, 165341, 171023, 172341, 178557, 155774, 159247, 161378, 167715, 170292, 175547, 177833, 153731, 159399, 163956, 165222, 171627, 175402, 178146, 151983, 158510, 161398, 164080, 169387, 174488, 178578, 155321, 159714, 161323, 166310, 168930, 176057, 178962, 152686, 157708, 163131, 164558, 171456, 173830, 178805, 154814, 156893, 160328, 164008, 171642, 175132, 179494, 155194, 157381, 160626, 164361, 168316, 174736, 176547, 152686, 159068, 163835, 166046, 169953, 175570, 178153, 154294, 157551, 161112, 166304, 168849, 174496, 176472, 153749, 159549, 159969, 164472, 169057, 174983, 178800, 152686, 157219, 160749, 165518, 171896, 172485, 176874, 154257, 159666, 159895, 165255, 170238, 173794, 178984, 152909, 159309, 163259, 167254, 170190, 175205, 178034, 153749, 156512, 163505, 165049, 170209, 175465, 179144, 152686, 155903, 160067, 165092, 169196, 173352, 180006, 154094, 156287, 162920, 166108, 171565, 173710, 176931, 153273, 158026, 162520, 164863, 169149, 172409, 180064, 153382, 158172, 163864, 165411, 169831, 174344, 178067, 154220, 157813, 162497, 166482, 171012, 175620, 179816, 152302, 156745, 162256, 164119, 169867, 172856, 179323, 152047, 159459, 162450, 164085, 171343, 172340, 176932, 154281, 158378, 163490, 164156, 169637, 174303, 179956, 152302, 157099, 161088, 165786, 171181, 173974, 177759, 152518, 159720, 161473, 164480, 168082, 173354, 176284, 154294, 158515, 162078, 167672, 168849, 175637, 180129, 152985, 155945, 160594, 167357, 171497, 173888, 176958, 154517, 156773, 160575, 165382, 171557, 176008, 178295, 153842, 159424, 160795, 166423, 168218, 175708, 176750, 155123, 156670, 163914, 167472, 169164, 175703, 179891, 153825, 158378, 162956, 164487, 170915, 172726, 178485, 152686, 158618, 161707, 165707, 169874, 176090, 179549, 153525, 157771, 161312, 167920, 168655, 175662, 177108, 154814, 156865, 162504, 166481, 169696, 174113, 179036, 153825, 155843, 160936, 164823, 168907, 173344, 179087, 154448, 157889, 163131, 165894, 168126, 174959, 176448, 152232, 159274, 161658, 167198, 171207, 173926, 180272, 155758, 158644, 162075, 166199, 170244, 172193, 179734, 153688, 156934, 163605, 165072, 169082, 175893, 177858, 152851, 156018, 162625, 166817, 169813, 173705, 177621, 153731, 157925, 160402, 166922, 169592, 173447, 176744, 155441, 158296, 161956, 167492, 169222, 172852, 176265, 154268, 156482, 161293, 165840, 170296, 175684, 177890, 153731, 158948, 161990, 166922, 171563, 175928, 178374, 155441, 157388, 160677, 166978, 169257, 174938, 177497, 153333, 156312, 160257, 167492, 170439, 174595, 179868, 153831, 157032, 161107, 166984, 168876, 174524, 179924, 155117, 159045, 161510, 164866, 169632, 172195, 179312, 152047, 155838, 163052, 168043, 171458, 172364, 178654, 154797, 156081, 161539, 165898, 169981, 172728, 178146, 155680, 156983, 161430, 167631, 169164, 176145, 179473, 154517, 156239, 163561, 165316, 168757, 174234, 179931, 155264, 158627, 161921, 165224, 168107, 173047, 176667, 154746, 159575, 160368, 164768, 170079, 175979, 178506, 152408, 156203, 161822, 164134, 168218, 175110, 176692, 153382, 158118, 161440, 164926, 171676, 174888, 176473, 155173, 159371, 163425, 165429, 169361, 173028, 176444, 152274, 156529, 160053, 164185, 170585, 172173, 179760, 154864, 157219, 162715, 167639, 169090, 175444, 180280, 153559, 156586, 161451, 165526, 169878, 175860, 177381, 152890, 159748, 159891, 166585, 170549, 173969, 178190, 153333, 156802, 161846, 164702, 170015, 174941, 179301, 153120, 158291, 160356, 167269, 170774, 173552, 177289, 155123, 155983, 162071, 166846, 169867, 173116, 177384, 155678, 158560, 160650, 167756, 170977, 173404, 178829, 155529, 157505, 161987, 165555, 171245, 174916, 178584, 155647, 157430, 163264, 164204, 169427, 172917, 178010, 154963, 158145, 160402, 165158, 170879, 172318, 180272, 151756, 158489, 162706, 166962, 169332, 174078, 177875, 152302, 159046, 160154, 164465, 169033, 174015, 179783, 153108, 157080, 160406, 166237, 169521, 173640, 177823, 152737, 155885, 160257, 164290, 168264, 173636, 179938, 152408, 156812, 162614, 164524, 169789, 172408, 178643, 152686, 158187, 163424, 167580, 168466, 174076, 177091, 151983, 156287, 163510, 165061, 168926, 175175, 178091, 153825, 158286, 160161, 164558, 169161, 174042, 176552, 155264, 156349, 161323, 167580, 170771, 174501, 179509, 152232, 157579, 163093, 166457, 170652, 174858, 178840, 154171, 157008, 162581, 166925, 172009, 172213, 180321, 153162, 158674, 163774, 164981, 168271, 173212, 176387, 155080, 156812, 161718, 164248, 168826, 175831, 176870, 153825, 156928, 160267, 165823, 170226, 175728, 178185, 153660, 158916, 163082, 166335, 170883, 174497, 177249, 152911, 156928, 161641, 165049, 171366, 173710, 177105, 154724, 159297, 160002, 168010, 170920, 175355, 176444, 153382, 158418, 163901, 167056, 171939, 172595, 176753, 154448, 158483, 162614, 165793, 169221, 175924, 176875, 153382, 158141, 160265, 166077, 169659, 174720, 180161, 153389, 159150, 163448, 164680, 168610, 175554, 177914, 154746, 158896, 160287, 168043, 170954, 174184, 176262, 152302, 157579, 160679, 166455, 169100, 173404, 176517, 153660, 156538, 160056, 166928, 169507, 173087, 179151, 155651, 159481, 161733, 166683, 170568, 172414, 176601, 154075, 159506, 162347, 165735, 168340, 174246, 178205, 154432, 156168, 162848, 167930, 168545, 175509, 176262, 151977, 156928, 162132, 165107, 169216, 175667, 178000, 154746, 159785, 161356, 167582, 168907, 174972, 176634, 152232, 157579, 161151, 165623, 170406, 173022, 178671, 152845, 159729, 163888, 166566, 170830, 175860, 178613, 152595, 156259, 161627, 166111, 171963, 175849, 178535, 151898, 156259, 161200, 166482, 170209, 174735, 178065, 153660, 157192, 163033, 165034, 170915, 173980, 177370, 152686, 158642, 163194, 166190, 170438, 173874, 178691, 153749, 156315, 163911, 167536, 170615, 174913, 180027, 153887, 158634, 162521, 165666, 168129, 172469, 180299, 153273, 157797, 163886, 164126, 168455, 173223, 179291, 154110, 155826, 160839, 166881, 171815, 176252, 179719, 152103, 156335, 163141, 165408, 168762, 174080, 179598, 155731, 158494, 162173, 164376, 169248, 173042, 176696, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 33610, 279, 4743, 2244, 274, 1134, 11, 1052, 374, 825, 8622, 7653, 11, 279, 10304, 53284, 13, 151645, 151673, 151674, 151670, 154829, 156201, 161974, 166310, 170253, 172196, 177893, 154257, 157192, 160075, 166433, 169629, 173973, 178074, 152686, 159403, 163738, 168059, 168205, 175949, 177084, 155126, 157781, 163556, 164365, 168873, 175085, 180033, 153825, 158090, 163661, 166671, 170512, 173477, 177553, 155529, 157551, 162447, 166670, 170422, 175942, 178283, 152408, 157343, 161459, 164831, 171265, 174227, 179280, 153831, 158531, 162723, 167427, 169149, 173515, 178980, 154943, 157634, 161335, 167819, 170908, 175713, 179234, 154427, 157158, 160069, 165364, 171581, 175776, 179382, 152302, 156676, 161972, 166354, 171128, 175479, 178601, 155529, 158442, 161221, 167960, 169511, 174391, 177140, 152408, 156290, 161627, 166223, 170549, 174995, 177118, 154242, 156873, 162919, 165787, 170209, 175842, 176841, 155529, 158423, 163887, 164297, 169686, 172572, 176704, 155680, 158062, 160756, 165995, 169122, 175167, 177381, 152159, 158792, 162653, 165397, 171154, 172696, 177256, 152103, 156913, 160741, 167382, 171166, 172745, 178598, 152302, 157257, 160445, 166254, 168566, 172596, 179023, 153080, 155972, 159945, 165819, 169059, 172508, 177467, 155511, 157873, 163125, 165696, 168606, 174214, 176521, 153101, 156378, 163248, 167392, 169259, 172745, 180131, 154864, 156454, 160911, 166254, 168932, 176122, 179763, 152686, 157938, 162148, 167214, 168827, 175981, 178756, 153389, 155870, 163049, 164510, 169683, 175278, 177843, 152286, 159534, 163372, 164852, 172029, 174399, 178518, 152408, 158046, 163499, 167959, 168566, 174065, 179071, 152232, 156248, 162444, 167744, 170360, 172977, 179327, 154724, 158911, 160053, 166871, 171752, 174615, 176706, 154829, 159272, 161000, 165623, 170826, 174660, 177587, 153825, 156272, 161181, 165060, 171265, 174253, 177375, 154448, 158291, 159912, 166151, 169861, 175497, 177515, 153831, 158261, 160311, 166790, 169024, 175092, 179758, 153151, 158790, 161249, 164419, 168383, 174641, 176624, 153632, 158202, 161821, 166406, 169683, 175545, 177652, 152899, 158427, 162006, 166319, 172075, 175445, 176945, 154776, 158812, 160553, 166100, 169054, 174529, 176732, 152084, 158948, 160712, 163969, 169422, 172545, 177646, 154682, 155804, 160199, 164981, 168092, 173441, 179434, 154916, 159339, 161744, 165816, 168762, 175922, 177407, 153668, 156474, 160147, 167730, 171627, 174785, 178374, 155441, 157925, 160885, 167944, 170366, 173262, 179208, 152851, 157560, 161439, 165801, 168474, 175976, 178811, 154810, 158838, 160780, 167253, 170226, 175220, 176871, 155519, 157819, 162381, 166156, 168967, 176149, 176994, 154551, 156805, 161098, 167373, 169104, 172501, 178943, 155659, 156646, 163962, 166525, 168826, 176195, 179882, 155218, 156968, 160926, 167655, 169256, 176118, 180214, 152232, 156644, 160431, 164152, 169436, 172456, 179527, 155126, 157420, 160703, 167281, 168831, 176138, 176999, 155529, 158040, 159906, 167170, 171995, 174009, 177140, 152232, 156644, 161430, 164900, 169100, 174060, 180319, 152047, 158048, 160405, 167184, 172071, 175711, 180274, 152065, 158280, 162291, 165158, 171948, 175586, 178975, 154138, 159828, 160997, 167814, 168982, 175232, 179956, 154757, 157926, 161088, 167968, 170024, 172337, 177538, 152038, 157210, 163385, 166663, 170859, 176128, 177434, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 40, 1101, 1366, 311, 6010, 7037, 504, 55926, 11980, 323, 1401, 518, 4297, 84021, 13, 151645, 151673, 151674, 151670, 153964, 157806, 162333, 164347, 169544, 173177, 177217, 154724, 159568, 163625, 166041, 168326, 176254, 179764, 153226, 156582, 160724, 166546, 171786, 176055, 179354, 154413, 157099, 163651, 166928, 169181, 174735, 180071, 155511, 158141, 162427, 164783, 169707, 173880, 179105, 154814, 156183, 160752, 166529, 171765, 173480, 177650, 152836, 156883, 161136, 164240, 170829, 172664, 178442, 155529, 157572, 161877, 167694, 171334, 172471, 178142, 153864, 155934, 163817, 167142, 170013, 175879, 178272, 154413, 158150, 161577, 165032, 170079, 173270, 178210, 155606, 158378, 160306, 166136, 170818, 175682, 178601, 153226, 159281, 161667, 167582, 170877, 175161, 179227, 155606, 159272, 161542, 166035, 169428, 174684, 179437, 154427, 157306, 161450, 165938, 170523, 176231, 177284, 154413, 157965, 161528, 164771, 170921, 172899, 179473, 152286, 158097, 161939, 165775, 168831, 172787, 177374, 154829, 157938, 160547, 167643, 171974, 174181, 179796, 153536, 159087, 160250, 167061, 170967, 173290, 180288, 155659, 156644, 163671, 165008, 171506, 175739, 177676, 154427, 156114, 162825, 166440, 169708, 174000, 176455, 153749, 156498, 161084, 165542, 168612, 176213, 179222, 155126, 156303, 162881, 165159, 168737, 173022, 179444, 154189, 157586, 161356, 165788, 168919, 173745, 176552, 154914, 156463, 161575, 165374, 171239, 175837, 179874, 151706, 157395, 163089, 165134, 169889, 173489, 179344, 152686, 158995, 161090, 164060, 170123, 172682, 178698, 153749, 157054, 163815, 165582, 169464, 175901, 178523, 152686, 159686, 163130, 165211, 169408, 172629, 177791, 152232, 156774, 160323, 165929, 171517, 174116, 177507, 152930, 158761, 160053, 166022, 169048, 172787, 176649, 155640, 156591, 163089, 163979, 169666, 172918, 178717, 153276, 157703, 160270, 167968, 169276, 175404, 176698, 152232, 157327, 160262, 166030, 168847, 174754, 179905, 154914, 157225, 160792, 166651, 170855, 174349, 179466, 154657, 158140, 162671, 164453, 170805, 173894, 177899, 153362, 157248, 160927, 167319, 168880, 175802, 178259, 155175, 159412, 162849, 165722, 171688, 172670, 177921, 154974, 159017, 162996, 164726, 168199, 175583, 180082, 153240, 159225, 160117, 167912, 168703, 172969, 179394, 153151, 158186, 161573, 167299, 169613, 175894, 179400, 152065, 157068, 160998, 167267, 168609, 175914, 177905, 152408, 159647, 159910, 167115, 169569, 172721, 176704, 153226, 159170, 163317, 166330, 169350, 175051, 177283, 155488, 158855, 162737, 166142, 168986, 175818, 177107, 154982, 159233, 162061, 166061, 170341, 175025, 178044, 153852, 157517, 161365, 166035, 170314, 172357, 176715, 154395, 159775, 162764, 164689, 168967, 172386, 178560, 153953, 156603, 161708, 166233, 168113, 173075, 179682, 152686, 158261, 161505, 166383, 168196, 172880, 178677, 154814, 155964, 162436, 164174, 171069, 176169, 179908, 154517, 156132, 160558, 166587, 169820, 175926, 177828, 151789, 156477, 161208, 168011, 168850, 174367, 178279, 153288, 156898, 162879, 166634, 168293, 172727, 176641, 155598, 155996, 160733, 167912, 171625, 174579, 178238, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 4416, 1493, 525, 279, 1251, 879, 54845, 279, 14126, 2506, 388, 13, 151645, 151673, 151674, 151670, 152546, 158737, 163348, 167507, 170682, 175778, 178811, 155529, 157140, 161615, 166199, 168650, 175407, 180155, 152425, 159373, 160484, 164820, 169181, 173288, 177826, 154810, 156893, 161946, 165191, 171300, 174448, 179121, 152047, 157700, 163409, 164906, 169062, 173399, 178934, 155529, 156802, 162832, 165445, 168521, 172444, 178711, 155080, 156812, 161196, 164696, 169694, 172919, 176905, 154746, 157792, 162426, 165643, 169545, 172745, 180319, 154859, 158234, 160212, 166825, 168271, 173738, 177434, 154822, 157542, 161263, 165633, 168182, 172451, 177137, 155647, 156239, 161615, 164558, 168425, 173582, 179144, 153825, 157998, 162982, 165810, 171664, 173658, 178962, 152686, 157667, 161549, 165473, 168126, 175751, 178085, 155519, 157788, 162517, 164623, 171128, 173877, 177298, 155123, 155953, 163056, 164397, 170761, 173029, 177862, 155264, 159372, 163138, 163987, 168222, 175198, 178745, 152425, 156737, 160333, 165316, 170682, 172252, 180315, 155056, 157032, 161116, 164393, 169401, 176079, 180263, 152217, 158678, 163870, 166099, 168470, 174894, 176296, 152686, 156257, 161000, 164387, 171375, 174672, 178820, 152047, 158528, 161393, 167258, 171561, 175180, 178931, 154914, 155817, 163184, 166311, 168298, 173938, 177384, 152879, 156797, 163412, 166254, 168676, 173852, 177096, 155511, 159867, 160886, 167187, 170859, 173444, 180043, 153353, 159555, 160313, 166441, 168182, 176160, 177652, 155647, 156464, 160665, 164006, 168158, 174748, 179318, 154305, 156495, 160347, 164982, 171254, 174123, 179653, 153529, 158484, 162456, 167270, 168466, 173457, 176486, 153623, 159669, 163220, 166811, 169981, 172500, 178310, 155606, 156929, 162784, 164711, 170277, 174294, 178283, 153052, 156983, 163564, 167261, 168181, 174367, 177358, 152281, 158225, 161032, 167412, 170672, 174901, 179645, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3983, 19836, 498, 1378, 11, 566, 594, 3259, 419, 4925, 803, 16965, 1091, 432, 374, 11, 448, 806, 37764, 1075, 279, 15358, 10304, 53284, 374, 4460, 311, 49985, 279, 6867, 956, 594, 13430, 13, 151645, 151673, 151674, 151670, 155519, 157040, 161149, 165659, 168847, 174709, 179652, 153233, 156724, 160553, 165481, 169328, 175175, 178812, 152836, 156696, 163785, 164367, 172028, 172383, 177036, 151958, 159441, 162472, 165781, 171397, 173533, 180336, 153749, 156160, 160938, 164822, 171297, 174455, 177171, 152777, 156016, 163064, 165238, 171642, 172778, 176411, 152047, 156268, 160441, 165894, 170761, 175179, 180040, 152890, 157960, 160542, 167927, 168244, 174443, 179475, 152408, 158040, 163630, 167586, 169539, 175216, 178746, 153831, 157406, 160641, 167283, 169482, 173125, 178318, 153121, 158155, 160579, 164078, 171624, 175078, 178714, 155202, 158807, 159993, 165828, 170365, 173838, 177994, 152342, 157257, 161592, 164563, 169041, 172636, 179677, 153668, 159050, 161485, 166366, 170002, 174763, 176265, 154448, 157860, 161506, 167748, 172155, 172482, 178829, 152047, 156626, 163778, 164144, 172013, 176213, 179469, 155606, 158934, 162996, 164077, 170196, 173389, 176900, 153749, 155981, 159971, 165874, 172013, 176022, 176921, 155511, 156016, 163266, 166086, 171562, 175928, 180116, 153749, 158143, 160853, 164368, 171103, 176138, 180223, 154657, 157819, 163614, 164207, 168849, 173026, 178829, 153382, 157099, 162481, 166502, 170694, 173888, 177840, 155470, 158177, 162265, 167098, 169320, 173709, 180315, 152274, 156802, 160088, 167540, 170915, 175390, 180275, 153830, 156545, 163339, 166011, 171181, 173063, 177042, 154432, 159372, 163080, 167800, 170079, 175584, 177441, 154814, 159665, 161913, 166859, 171812, 176037, 179084, 154189, 157999, 163270, 167134, 171347, 176175, 177080, 154106, 157607, 161788, 166313, 168874, 173914, 178980, 152836, 155857, 159993, 167855, 169181, 173062, 178167, 153657, 159762, 162715, 167094, 170652, 173663, 178270, 153525, 157982, 162099, 166085, 170481, 175496, 176634, 154829, 156257, 160035, 166569, 171214, 172466, 178078, 154242, 156481, 162652, 164619, 171366, 175917, 176696, 152302, 156302, 160539, 166801, 170402, 174794, 179776, 154966, 156676, 162129, 165777, 171543, 172773, 178508, 152302, 155972, 161530, 167934, 168590, 174755, 180131, 152311, 158388, 163131, 167386, 168418, 173291, 179154, 152714, 158026, 162787, 165758, 168385, 173793, 178837, 152580, 155782, 162466, 167005, 168916, 174113, 177680, 153389, 156667, 163291, 167296, 168220, 174914, 179160, 152125, 159867, 162294, 165812, 169795, 174294, 179294, 154375, 156193, 163732, 165323, 170696, 173496, 176330, 153986, 157985, 163589, 164287, 171253, 175789, 178644, 155519, 157572, 160745, 166411, 168385, 175200, 179953, 152047, 156991, 163456, 166724, 170723, 175407, 178222, 155529, 156423, 160101, 165148, 168801, 175778, 176615, 155511, 156861, 160997, 167340, 170334, 175985, 178902, 155678, 156875, 162583, 167191, 168320, 172959, 177017, 153382, 157316, 162761, 166423, 168430, 174778, 179501, 154413, 156097, 162932, 167808, 169560, 174437, 179794, 152686, 157192, 163887, 166916, 171347, 174717, 178045, 154414, 157567, 160092, 166653, 168676, 175848, 177309, 154413, 156321, 160675, 165980, 168396, 173582, 180040, 155464, 156066, 160790, 167910, 169777, 175306, 176547, 153749, 156024, 163425, 167142, 169708, 174743, 179763, 153825, 156587, 162720, 165315, 171102, 172182, 179688, 154864, 157779, 163813, 167403, 170848, 175399, 179710, 153831, 156345, 161179, 165021, 170859, 174967, 176545, 155194, 158990, 161754, 164864, 169068, 175860, 179686, 152680, 158537, 162402, 165366, 169886, 176176, 176556, 154774, 155962, 161520, 165603, 170085, 172487, 179682, 154448, 157573, 161902, 165708, 169834, 173352, 176933, 154084, 158284, 163820, 165981, 169175, 175175, 177921, 151694, 159390, 163697, 166936, 168532, 176197, 179257, 152689, 156003, 160187, 165168, 170840, 172905, 177138, 151872, 157572, 163659, 166567, 170314, 173495, 179347, 152225, 155789, 162769, 167542, 168673, 173710, 176838, 153781, 157742, 161157, 165593, 171280, 175829, 180234, 155659, 159742, 163897, 167250, 168158, 173214, 177589, 153204, 158586, 162070, 167287, 170123, 173784, 177928, 153749, 158858, 160551, 167415, 170438, 174799, 177193, 153240, 156513, 162492, 165555, 168098, 172377, 179856, 152232, 158046, 160961, 164272, 170652, 175831, 178850, 152047, 158887, 160563, 165450, 168429, 174647, 180267, 152311, 157645, 162264, 167006, 171245, 176142, 176393, 155500, 155838, 163477, 167495, 169387, 173051, 177095, 155464, 158990, 160768, 165824, 172094, 172844, 176598, 155461, 156244, 160615, 165074, 170931, 174184, 180100, 153842, 159477, 160351, 165108, 168929, 175781, 177874, 154829, 157921, 162124, 167547, 171507, 173331, 177814, 152408, 158291, 160104, 167000, 169387, 172859, 177843, 152047, 157507, 162126, 164957, 171454, 172967, 179731, 155316, 156405, 161761, 167891, 171605, 176184, 176535, 152985, 155779, 161482, 164285, 171569, 173547, 178917, 152686, 159087, 160756, 164741, 169167, 174529, 178232, 155519, 159324, 160568, 164510, 172030, 175266, 179961, 152200, 156613, 163704, 167287, 171917, 173177, 179436, 151877, 158724, 162704, 164576, 168592, 172209, 180134, 153226, 156488, 161627, 165582, 168666, 176222, 178126, 155117, 159046, 161861, 167968, 169521, 173661, 179885, 154839, 156707, 163295, 167815, 170325, 174002, 178771, 153546, 158026, 160123, 165060, 168826, 175972, 177626, 154220, 159675, 160133, 167372, 168418, 176184, 176693, 153660, 157663, 161742, 164627, 169789, 173064, 176320, 153545, 156559, 163793, 166592, 168201, 172627, 177226, 152129, 156512, 159936, 167982, 170180, 172562, 179594, 155680, 156239, 160830, 164711, 170429, 175692, 179328, 155388, 158569, 161156, 167345, 169444, 175023, 178025, 152882, 156202, 162766, 167166, 171460, 174694, 176416, 152281, 159307, 160032, 165778, 170672, 173964, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 30733, 1378, 3041, 35275, 10262, 825, 304, 2176, 29576, 23094, 323, 279, 4628, 315, 7600, 13, 358, 3900, 12905, 645, 702, 10030, 11675, 369, 1128, 374, 5001, 13, 151645, 151673, 151674, 151670, 154248, 157189, 161729, 164013, 170352, 172433, 179803, 153878, 158040, 162319, 166089, 169020, 173691, 179043, 152455, 157197, 160755, 166434, 169737, 173347, 178659, 152646, 156555, 163829, 167478, 171376, 172731, 179672, 151701, 157866, 162596, 166872, 168220, 175064, 178272, 153559, 157471, 163574, 164652, 169271, 174679, 178811, 152170, 159704, 161926, 167212, 170031, 172592, 179357, 153452, 155911, 162194, 164255, 169277, 172624, 178988, 152027, 155782, 163232, 166522, 169850, 175607, 176965, 152892, 157895, 163290, 164487, 170429, 174147, 179647, 152082, 159772, 162742, 165892, 169683, 175030, 178314, 152577, 159161, 161459, 165069, 168157, 175147, 180318, 153581, 159578, 161532, 167775, 169639, 172911, 178361, 153248, 157982, 162299, 166297, 170317, 176057, 179088, 154394, 159496, 161136, 165761, 169930, 174446, 178848, 152494, 157056, 162155, 167589, 171884, 174694, 177984, 151770, 159596, 162134, 166390, 169090, 174227, 179833, 152170, 156108, 160675, 164917, 168396, 174358, 179772, 154185, 156498, 161294, 167494, 168215, 175373, 179265, 155529, 156127, 160457, 166022, 169571, 173967, 177095, 154119, 159012, 159907, 167730, 171620, 174825, 176599, 152455, 158858, 163588, 166505, 170369, 173538, 179139, 151701, 158081, 163209, 166464, 171265, 175254, 179717, 155606, 156233, 162075, 167736, 171242, 174413, 177144, 155461, 156137, 160157, 164776, 168418, 174728, 176308, 152370, 158364, 163860, 165982, 168401, 175891, 179308, 154382, 158531, 159893, 167531, 171994, 173717, 179484, 153354, 159340, 163569, 165087, 171924, 172362, 178188, 152027, 157443, 161337, 164216, 170287, 175237, 177403, 154651, 159012, 159971, 166493, 171019, 173200, 179525, 153581, 157092, 161042, 167980, 169093, 173621, 176255, 153071, 158484, 160213, 166941, 168958, 172306, 176929, 155659, 156287, 162457, 165143, 168216, 172241, 179922, 152812, 158384, 162498, 167843, 169221, 175248, 179421, 154914, 156394, 163138, 166982, 170037, 174911, 178402, 152577, 159774, 162299, 167547, 171052, 172805, 178508, 152171, 155905, 163602, 166295, 168673, 174956, 177742, 154829, 156134, 162042, 164339, 168765, 173095, 179403, 154914, 155892, 163853, 165359, 170412, 174257, 177460, 153559, 159451, 161848, 165778, 172066, 174912, 180248, 151701, 157654, 160060, 164122, 168666, 174439, 179238, 153389, 158936, 162772, 166545, 168964, 172535, 179308, 153514, 156609, 163734, 164705, 168075, 175504, 177354, 152425, 156918, 163926, 165135, 168557, 173015, 179271, 154342, 158415, 162799, 165904, 169705, 172866, 180284, 153623, 159337, 161363, 166127, 171741, 173069, 179243, 152869, 157259, 161475, 165940, 168255, 172227, 177287, 152331, 159774, 161913, 166615, 171863, 174216, 176552, 151701, 159283, 160971, 165482, 169387, 173020, 178011, 154943, 158141, 162489, 164532, 168473, 175920, 179552, 152065, 155934, 163786, 166875, 170168, 173352, 178053, 153831, 158887, 161952, 164258, 168744, 173012, 176519, 153179, 159258, 163226, 164152, 171146, 173022, 177084, 151701, 157062, 162058, 166258, 170429, 175431, 178420, 154253, 158431, 161926, 164361, 171678, 173954, 177224, 154466, 156248, 163645, 168006, 170209, 174584, 180213, 152107, 156679, 161456, 166998, 169795, 173868, 178790, 155748, 159217, 161980, 165292, 170085, 174214, 179518, 155669, 156241, 162447, 167254, 171350, 172937, 177316, 153732, 157724, 163510, 164974, 168454, 173376, 178704, 154171, 159841, 163111, 167749, 168345, 176101, 177457, 154666, 156920, 162130, 165474, 171137, 174583, 177432, 154925, 155907, 161018, 165822, 169247, 175112, 180146, 154666, 158606, 163874, 165169, 170729, 173882, 177621, 152103, 158829, 161935, 165644, 171117, 174569, 179266, 155441, 156888, 162330, 166270, 170068, 173620, 176788, 153282, 158314, 163433, 166321, 168400, 172320, 176492, 155028, 157555, 162113, 167439, 169448, 174310, 177194, 152836, 158238, 163599, 164751, 171090, 174885, 178799, 154060, 156841, 160886, 164260, 170552, 173650, 177877, 155122, 155810, 160371, 167848, 169181, 175680, 179629, 152836, 156160, 163196, 166065, 170175, 175818, 178658, 154839, 156646, 161530, 164622, 172146, 172675, 176727, 155347, 158531, 161782, 166906, 168216, 174373, 180296, 154448, 156933, 163838, 165484, 168241, 174777, 179234, 155083, 158148, 161208, 167968, 171181, 172251, 178724, 152061, 156636, 161429, 165484, 171662, 173702, 177095, 153623, 155870, 160593, 165874, 168392, 174364, 177231, 152331, 157492, 160526, 164782, 170881, 175793, 176515, 153123, 158964, 160420, 166811, 169287, 174070, 178364, 155606, 156738, 160408, 164982, 170180, 175833, 179473, 151823, 158977, 161537, 164734, 171058, 174486, 178356, 155606, 158114, 160550, 164941, 171154, 174236, 178099, 153498, 157099, 161895, 166886, 171560, 174792, 180145, 152045, 159283, 163184, 166951, 171196, 175093, 178222, 151762, 158586, 160429, 167643, 171747, 172366, 179672, 155529, 156802, 163850, 166076, 169046, 173888, 178229, 153572, 157300, 160161, 166254, 170632, 174613, 177609, 152370, 158447, 161738, 167440, 168536, 175166, 177650, 152045, 158180, 162589, 164013, 171565, 175896, 178152, 153529, 156125, 160851, 167950, 168198, 173962, 179752, 153889, 158260, 159960, 167212, 172044, 174413, 178098, 155473, 156878, 161270, 165745, 169878, 175877, 177769, 152281, 157885, 160199, 166027, 170672, 175356, 178110, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 2132, 594, 264, 2632, 4124, 369, 752, 13, 6771, 752, 633, 264, 10525, 315, 10799, 1156, 13, 151645, 151673, 151674, 151670, 154860, 159555, 163037, 164098, 169899, 173002, 179938, 154002, 156802, 161695, 167403, 171850, 174672, 178095, 154132, 158422, 160605, 167436, 168280, 173713, 178711, 152869, 157395, 163018, 167122, 168430, 174269, 178235, 154388, 157395, 160974, 165904, 172060, 174139, 176559, 155759, 158040, 161403, 165080, 171009, 172249, 178342, 153228, 157371, 163886, 165916, 168437, 174783, 177095, 153288, 159150, 163581, 166588, 171438, 174152, 178347, 153228, 156717, 160711, 167982, 168645, 174421, 177890, 152899, 159512, 162325, 167326, 169985, 174815, 177331, 153529, 157514, 160402, 166703, 170811, 172696, 176295, 155126, 157705, 160100, 165307, 169033, 174151, 179440, 154127, 157326, 163519, 166724, 170329, 174187, 176999, 154914, 155932, 163460, 164211, 170209, 173054, 176327, 154814, 159574, 161785, 164072, 171265, 174652, 178172, 154015, 156805, 160176, 164181, 170076, 176022, 177280, 155488, 159078, 163905, 164061, 168833, 176061, 179826, 154015, 159549, 161530, 166664, 171917, 176150, 176655, 152232, 157219, 160290, 166928, 171565, 172604, 179076, 153151, 159087, 162162, 167155, 170752, 172195, 180248, 155461, 156619, 161762, 167802, 170209, 174390, 177745, 154395, 157422, 159911, 164161, 171565, 173965, 178416, 152240, 159558, 160275, 166244, 170083, 174562, 177711, 152869, 155792, 161501, 164775, 170085, 172292, 176433, 155759, 157627, 163886, 164033, 168481, 173166, 177890, 154135, 158753, 160499, 167122, 168099, 174402, 176331, 154682, 159764, 162829, 165070, 170777, 175551, 177181, 153861, 155907, 161892, 164444, 171274, 173722, 178392, 153731, 155853, 161732, 165012, 168195, 175499, 179885, 155441, 156937, 162657, 164444, 169176, 174382, 178134, 152851, 158735, 162866, 166544, 170508, 172193, 177430, 152000, 157241, 163937, 164726, 171048, 173067, 178018, 155126, 156350, 162560, 166921, 168158, 175822, 178956, 154517, 156097, 161064, 165071, 170085, 173572, 177025, 154204, 159432, 160958, 166573, 168176, 172330, 177483, 153831, 155802, 162447, 166946, 170859, 174478, 180284, 153830, 158615, 161636, 165779, 169694, 174881, 179982, 155519, 157315, 160550, 166438, 168489, 172992, 179951, 154859, 157819, 162798, 166950, 171128, 175575, 180284, 154209, 157998, 160691, 167321, 170641, 175347, 178745, 152577, 159574, 162136, 165383, 168666, 175683, 179182, 153151, 159687, 163815, 165545, 171869, 174825, 177422, 153620, 157573, 163419, 165323, 168734, 175875, 177020, 152869, 159771, 160355, 167515, 169271, 174278, 179844, 155578, 158046, 160448, 164563, 168724, 175235, 176965, 152510, 157513, 161659, 165363, 168718, 176160, 180219, 152228, 158084, 161714, 164291, 171299, 173718, 176444, 151701, 156233, 161430, 166975, 169147, 176011, 176821, 152492, 156464, 161175, 165725, 169305, 174084, 179437, 153965, 158323, 160741, 164741, 168134, 172766, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 1654, 3003, 1865, 279, 5871, 28782, 311, 279, 16358, 30443, 15022, 13, 758, 5256, 11, 279, 6914, 2567, 525, 1083, 5527, 13, 151645, 151673, 151674, 151670, 155519, 158782, 160627, 167199, 169320, 175160, 176620, 153226, 158319, 161947, 166300, 170719, 176222, 176484, 154517, 157099, 163562, 166604, 168575, 175913, 178944, 153080, 156781, 163510, 166888, 171588, 172782, 178681, 154164, 157712, 161401, 167614, 172013, 172750, 177840, 152504, 158673, 160418, 165190, 168877, 174683, 177750, 153226, 158171, 162779, 164203, 169612, 173448, 179374, 152408, 156203, 162038, 166254, 170038, 172683, 176271, 153382, 156121, 162072, 165832, 168521, 174214, 177717, 155529, 156619, 160498, 165116, 168098, 173199, 176473, 153240, 156142, 161459, 166035, 168637, 173044, 179295, 152689, 156239, 161585, 165713, 171181, 174001, 176929, 154215, 159039, 161829, 166520, 171784, 174655, 176998, 153890, 159742, 160801, 164870, 170287, 175102, 178592, 153359, 156644, 163125, 166727, 168932, 175340, 179634, 152307, 158722, 162441, 167103, 168080, 175352, 178400, 155723, 157626, 162114, 164460, 168625, 172965, 176727, 155032, 159359, 162550, 163999, 169175, 172745, 178122, 151918, 159783, 162837, 165215, 171740, 175351, 179847, 153380, 156231, 162795, 165131, 169161, 172750, 178029, 152295, 158431, 162060, 167436, 170817, 173174, 178463, 154127, 156229, 160195, 167170, 169017, 174888, 179962, 154758, 157537, 160860, 167054, 170818, 173963, 177140, 154420, 158927, 163499, 167306, 171517, 172377, 178108, 155751, 159387, 161063, 164630, 171935, 172870, 177489, 153724, 155792, 161076, 166021, 168266, 172472, 176585, 155519, 159726, 163493, 165445, 171217, 175900, 178010, 154086, 156134, 160243, 165252, 170674, 176176, 180208, 153577, 156362, 161637, 165663, 170204, 172683, 177445, 154132, 158738, 161085, 165478, 172152, 173725, 177556, 153034, 157830, 163561, 166035, 171998, 175159, 178040, 151725, 158114, 162818, 164561, 171553, 174676, 178790, 153228, 158226, 162406, 165522, 171268, 176153, 179146, 155202, 159774, 161719, 165987, 171103, 175431, 179385, 151709, 158336, 161447, 164409, 168302, 172738, 176291, 153499, 157924, 159900, 165332, 169728, 175324, 177821, 152004, 159557, 162495, 167862, 171357, 173874, 180072, 153668, 155885, 160450, 166962, 170002, 175978, 177166, 152548, 156474, 159960, 165602, 169176, 172965, 177497, 153668, 157925, 163263, 165499, 168467, 173794, 176808, 154916, 158948, 163619, 166337, 171113, 174826, 180272, 154682, 158489, 161257, 164396, 170512, 174786, 179682, 151958, 158474, 161802, 166740, 171146, 172445, 178524, 153042, 157345, 162472, 164730, 171446, 175073, 176287, 154058, 159267, 160466, 167793, 171678, 174866, 176739, 153042, 156362, 162827, 164924, 169843, 173824, 179015, 154413, 157351, 163869, 165555, 171653, 175628, 180332, 155078, 158591, 160624, 166834, 169788, 172368, 176823, 151698, 158775, 160030, 167261, 168307, 172209, 177970, 152384, 158092, 162133, 166111, 170095, 175393, 177256, 154359, 155860, 160036, 167256, 171023, 174598, 178181, 153699, 155962, 160032, 166779, 170512, 173514, 178722, 155519, 158259, 162132, 165348, 171403, 173600, 179679, 154993, 159094, 162257, 167748, 169784, 172171, 180015, 152671, 157501, 162023, 167956, 170200, 175705, 179303, 153994, 158762, 160290, 165583, 169026, 175036, 179857, 151933, 158270, 161888, 164256, 169670, 172793, 177813, 154514, 158836, 163169, 164595, 171095, 174778, 178612, 151932, 158570, 161714, 164712, 168877, 174063, 177548, 153577, 157481, 162132, 166370, 171741, 173214, 178049, 155359, 157938, 161078, 165189, 170898, 173680, 177572, 153589, 156385, 160927, 165351, 171052, 174193, 179064, 152000, 159372, 160851, 166563, 169436, 174387, 177299, 152004, 159745, 162324, 166924, 171286, 175583, 180328, 155661, 159686, 162859, 167922, 169957, 175584, 178162, 153130, 157443, 163179, 165221, 169755, 173445, 176420, 151933, 157693, 163561, 167521, 170693, 173903, 180346, 153498, 156812, 163360, 167885, 169634, 172740, 177496, 153499, 157062, 160585, 166329, 171041, 173296, 176440, 152232, 156231, 160994, 166003, 168518, 174068, 178873, 153380, 155792, 163611, 164399, 168236, 174849, 176585, 153529, 159471, 161042, 165843, 170713, 173143, 177754, 154376, 156648, 161779, 164541, 168227, 172696, 179906, 152281, 158078, 159881, 164691, 170672, 172883, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3872, 429, 537, 773, 65368, 323, 37583, 44250, 30, 151645, 151673, 151674, 151670, 154957, 159479, 160745, 166187, 170378, 174995, 177212, 153034, 156836, 163569, 167582, 170475, 174195, 176614, 154741, 159505, 160534, 166670, 168772, 175751, 177231, 153332, 156182, 160376, 166148, 169855, 175058, 179007, 152836, 156061, 162333, 165604, 170378, 175229, 177627, 154209, 159762, 160658, 165671, 170530, 173610, 176917, 154724, 156961, 162456, 164712, 170214, 175918, 179104, 152286, 155964, 161598, 167635, 168257, 173702, 177472, 154452, 159109, 162597, 165877, 170208, 176230, 177948, 152836, 159747, 161564, 166654, 171975, 176230, 179790, 154189, 157439, 162694, 167670, 168834, 173924, 176592, 152665, 157956, 163836, 164003, 169415, 173658, 178180, 155006, 156024, 162156, 165018, 170572, 173878, 177890, 153668, 158251, 163225, 166230, 169892, 174789, 177061, 155737, 157691, 161338, 166138, 170754, 174014, 178066, 155731, 158769, 161682, 164295, 171460, 174014, 176265, 153686, 155984, 161172, 166052, 171613, 172320, 180085, 154696, 159325, 160782, 164279, 169149, 172701, 180284, 154413, 156451, 160044, 165377, 169349, 173501, 179244, 152058, 158091, 160715, 164432, 169762, 176227, 178282, 154498, 157147, 160516, 165096, 170378, 174182, 176479, 154054, 158026, 162110, 165438, 168985, 172873, 177843, 152529, 156873, 161649, 166311, 169161, 173061, 177122, 153204, 159297, 160836, 165747, 169975, 173580, 177495, 152408, 159412, 161877, 166037, 170429, 175436, 176739, 151998, 156993, 160369, 164842, 171055, 174330, 176583, 154004, 158552, 161434, 164532, 168188, 174262, 179868, 153151, 159864, 161294, 167992, 172152, 175216, 178967, 151872, 158980, 163464, 165447, 170307, 173522, 180064, 153749, 158019, 162883, 163988, 172058, 173251, 176798, 155688, 157748, 161637, 164186, 169780, 172721, 177133, 154189, 156589, 160747, 164191, 168855, 174373, 178042, 154724, 156567, 161418, 165798, 171814, 175772, 177814, 153152, 155883, 163814, 167846, 172076, 173718, 178063, 152836, 156137, 163761, 165781, 169143, 174094, 176489, 153226, 156552, 160841, 167699, 169789, 174343, 176568, 152065, 156321, 160222, 165965, 171602, 173012, 177123, 153477, 156279, 160448, 167155, 169220, 176136, 176565, 152836, 159020, 162006, 167885, 169163, 174544, 178783, 152869, 156777, 160213, 164108, 169718, 175530, 179089, 154395, 157750, 163633, 165327, 171434, 173715, 177438, 154242, 158205, 160409, 167515, 170334, 172956, 176822, 154414, 157500, 160747, 164350, 169228, 174147, 178151, 152722, 159702, 163536, 166570, 169624, 172626, 176458, 154637, 155928, 163895, 164536, 168671, 176176, 180003, 154661, 156702, 163535, 166102, 171592, 172947, 177027, 152962, 156018, 160842, 167326, 168975, 172318, 177390, 152281, 159115, 160032, 167168, 170672, 175356, 180215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 11209, 11, 498, 2299, 279, 1172, 825, 879, 702, 3884, 16759, 1630, 323, 8788, 279, 4734, 3728, 315, 806, 25385, 518, 3042, 13, 1634, 1741, 11, 582, 3278, 653, 4297, 582, 646, 311, 1492, 498, 48555, 697, 18923, 13, 151645, 151673, 151674, 151670, 152247, 156185, 160745, 165662, 170792, 176051, 177695, 154724, 159574, 163748, 165668, 170789, 173803, 180000, 154220, 157938, 160508, 164050, 169069, 172290, 177159, 154829, 157865, 163475, 165116, 170226, 173938, 177948, 152425, 159231, 162768, 167022, 170922, 174927, 178632, 152686, 157257, 160386, 165594, 168493, 172272, 179933, 155556, 158815, 161337, 167174, 169978, 173767, 179119, 155119, 159299, 161589, 164522, 170703, 175175, 176583, 152922, 155827, 163249, 165122, 169886, 172269, 176748, 153668, 157347, 161385, 166052, 169422, 172545, 176344, 154517, 159122, 163029, 165696, 170314, 172439, 177392, 153749, 156278, 162554, 165558, 172059, 173424, 179000, 152047, 157257, 160399, 164293, 169861, 175209, 179731, 153634, 157835, 162085, 167797, 170966, 173334, 179339, 154966, 157779, 161856, 164583, 171265, 173296, 179374, 152686, 158724, 162080, 166202, 168105, 174962, 176754, 153226, 159569, 163544, 166433, 169173, 174261, 178659, 153831, 159170, 160357, 167751, 169975, 173341, 178961, 154966, 158849, 162745, 165734, 171675, 175177, 179196, 154189, 159342, 162315, 165327, 171748, 173480, 176352, 153749, 156479, 163128, 164971, 170358, 173423, 177212, 155647, 156639, 160500, 165717, 170735, 173095, 179912, 152686, 156646, 163537, 166322, 169108, 175056, 177025, 152408, 156802, 160961, 165369, 168801, 174363, 177843, 153749, 158790, 161009, 165518, 169710, 174773, 178604, 152408, 159505, 160811, 166689, 171153, 174511, 177472, 155270, 157507, 160615, 165711, 171181, 172196, 178888, 154432, 155794, 160351, 165678, 169196, 174306, 179215, 155659, 158133, 160105, 165614, 168510, 175659, 177700, 154220, 155789, 161185, 164564, 170996, 174504, 179135, 154681, 155972, 162425, 164356, 170122, 172552, 179402, 155123, 157532, 162495, 164784, 171131, 174934, 179327, 154873, 157003, 160989, 165212, 168666, 173665, 176343, 152608, 156257, 161259, 165692, 170079, 174205, 179433, 154614, 159606, 159931, 165918, 169108, 175339, 176729, 152686, 159762, 160895, 166848, 170067, 173950, 178162, 155529, 157373, 162822, 165746, 170915, 176235, 178983, 152147, 157773, 163198, 164788, 169497, 173646, 176469, 152232, 157579, 163850, 164519, 172070, 175465, 179069, 152985, 156771, 163314, 165657, 168611, 175461, 179679, 155529, 156513, 161040, 166199, 168098, 174605, 179462, 153204, 158447, 162894, 163974, 171611, 175015, 178199, 153842, 157106, 161761, 164249, 168238, 172954, 176261, 152890, 158592, 160313, 164374, 169181, 173067, 177108, 154814, 158643, 161327, 164337, 170358, 173848, 177708, 154797, 157195, 162333, 166237, 168209, 173488, 176290, 152047, 156481, 161338, 165874, 168385, 172684, 177795, 153240, 158615, 163340, 168044, 169777, 174363, 178181, 152486, 158261, 163265, 164793, 169302, 172208, 178153, 152408, 157422, 163508, 164374, 168545, 174521, 176403, 154943, 157395, 160611, 165484, 170859, 176020, 177182, 154797, 156884, 161082, 166631, 170722, 175660, 176595, 152425, 156084, 162212, 166298, 168609, 175750, 177874, 152302, 159782, 163524, 167063, 171143, 174986, 177386, 152486, 156805, 160772, 167133, 168721, 172790, 179310, 155321, 155934, 162964, 164760, 171073, 173970, 176531, 153781, 158148, 162130, 165242, 171573, 175940, 179460, 154446, 158893, 163315, 166293, 168969, 172273, 179153, 155500, 158627, 160120, 164073, 169660, 172576, 179802, 151983, 156983, 163425, 167423, 172026, 172637, 178181, 154280, 159738, 161465, 164394, 169695, 173827, 177315, 152184, 158380, 162952, 166502, 168224, 173488, 178229, 153668, 159258, 161796, 165454, 170962, 173070, 178742, 154004, 157655, 163146, 165282, 168463, 172488, 180284, 152869, 158501, 160670, 165307, 168077, 172798, 178857, 152408, 156559, 161513, 164996, 170530, 174983, 178162, 155529, 156513, 162072, 164544, 169807, 174888, 178607, 153559, 155964, 162075, 165134, 169940, 173211, 177596, 154724, 158567, 161430, 165346, 169661, 173519, 179635, 155688, 158501, 162222, 164328, 169057, 176245, 178493, 154716, 158806, 163484, 164409, 168612, 173630, 178487, 153384, 158623, 160325, 164250, 170066, 172999, 176547, 152634, 157750, 162917, 164075, 168173, 172515, 180158, 153668, 159771, 161485, 167894, 169481, 173829, 177782, 153660, 156103, 160519, 167717, 168070, 173704, 179938, 154914, 158868, 162752, 164082, 168901, 174195, 179772, 153831, 157505, 163573, 166945, 171786, 172765, 177999, 153131, 156619, 162596, 164623, 171784, 175566, 176296, 154705, 157902, 163569, 164075, 169950, 173155, 179091, 152646, 156957, 162018, 166745, 168409, 172272, 176604, 153151, 157725, 163292, 167226, 169042, 173704, 179224, 153080, 157496, 160654, 166352, 170110, 175786, 176921, 152714, 159788, 163054, 166391, 171882, 174403, 178063, 153749, 156693, 162073, 166798, 171570, 175051, 179587, 154829, 157863, 163569, 166737, 169485, 174326, 176705, 152047, 156423, 163290, 167925, 168075, 173831, 180267, 152217, 158571, 160754, 165730, 170720, 172670, 176494, 153749, 155857, 160029, 165264, 170334, 173110, 180325, 153204, 156278, 160678, 166873, 170522, 175728, 178531, 154966, 156846, 162694, 166341, 169249, 174673, 177567, 153240, 156604, 162861, 166199, 169918, 173047, 179763, 153152, 158591, 161437, 167844, 169571, 172337, 176505, 153362, 155830, 161864, 167254, 169181, 176213, 177955, 154829, 159040, 161798, 167807, 171313, 174318, 177858, 154797, 158782, 161082, 167470, 169813, 173594, 176318, 154427, 156423, 162331, 165944, 170250, 173796, 178768, 152911, 157192, 162508, 166097, 171071, 174808, 177657, 153702, 155868, 160278, 166661, 168712, 174853, 178987, 152047, 156101, 163485, 167342, 170563, 172364, 180013, 153749, 155978, 160482, 165465, 172070, 174266, 177475, 155198, 157579, 162728, 167712, 171585, 175883, 180119, 155342, 155874, 160142, 164543, 171726, 175430, 178008, 153600, 158893, 161844, 165505, 169108, 175739, 178508, 151924, 158627, 163755, 167855, 170314, 175420, 177065, 153600, 158916, 162540, 166921, 168491, 174441, 178952, 154150, 159372, 160576, 166126, 168826, 173461, 180074, 153209, 155792, 161428, 164206, 168765, 172346, 177970, 153288, 159499, 159885, 166502, 170967, 173505, 177487, 155680, 158445, 161414, 164595, 170306, 175628, 176649, 154367, 158040, 162489, 166779, 170861, 173556, 177078, 153986, 157227, 163782, 167492, 170344, 173321, 179657, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 10380, 11, 421, 498, 3003, 1012, 3259, 43883, 1221, 498, 614, 311, 1414, 2494, 553, 1431, 13, 24647, 752, 1128, 498, 1414, 773, 3041, 773, 358, 1513, 944, 12291, 882, 39816, 1995, 13, 151645, 151673, 151674, 151670, 154814, 158665, 163237, 167665, 168907, 174066, 177194, 155519, 158038, 162355, 166894, 171602, 173880, 179549, 153698, 157407, 162927, 164927, 171678, 175971, 178318, 152733, 156992, 163572, 166229, 171382, 174783, 178832, 154916, 157586, 163776, 168017, 171073, 174826, 178814, 153138, 158866, 161744, 166136, 170810, 172161, 179081, 155497, 157175, 162738, 166593, 170777, 174014, 178144, 151993, 157832, 162042, 164479, 168541, 172243, 177027, 154774, 159326, 161297, 167503, 168819, 176016, 178987, 152408, 158484, 162741, 165422, 168569, 172195, 177540, 154517, 156992, 163864, 165633, 169861, 174589, 176884, 155519, 156619, 163454, 165874, 169975, 174280, 178872, 152225, 158264, 160922, 167045, 170001, 174562, 178630, 153749, 158460, 162117, 166551, 169563, 174930, 179626, 152302, 157028, 161582, 166490, 172155, 173837, 177168, 152217, 158836, 160795, 164376, 169659, 175599, 179895, 153537, 158627, 160884, 165190, 170975, 172674, 180045, 152617, 157170, 163862, 165822, 170391, 174912, 179925, 152425, 157372, 162741, 164413, 169173, 172670, 180206, 152486, 156388, 160633, 165692, 171664, 174124, 179936, 154551, 157541, 161934, 164855, 168684, 175645, 177984, 153660, 157579, 163723, 166771, 168566, 173741, 178722, 155118, 158621, 160212, 164404, 170761, 175730, 178330, 152232, 158226, 161642, 166883, 169387, 173079, 177584, 154292, 156349, 162075, 165411, 171708, 173913, 178113, 154569, 159506, 161779, 166631, 169942, 174139, 176420, 152899, 158854, 160036, 165070, 168086, 176160, 179795, 155123, 158843, 160502, 167940, 170911, 175679, 177947, 153749, 156458, 161501, 164710, 171059, 173200, 179533, 154810, 159248, 163940, 165548, 169181, 173717, 180047, 155126, 157406, 160678, 165863, 169498, 172457, 178742, 154724, 157210, 160249, 164906, 171343, 172378, 179680, 152408, 159769, 161361, 164550, 171505, 175667, 177395, 155374, 156417, 159882, 167770, 171954, 172426, 176680, 155123, 159625, 163677, 164053, 168711, 174777, 177296, 152225, 156512, 163649, 164482, 169899, 175946, 178401, 152686, 158876, 160012, 166738, 170652, 175556, 177824, 155529, 159390, 161638, 164807, 171634, 172451, 177584, 153707, 155932, 163404, 164852, 168316, 174268, 177718, 152486, 156182, 160382, 165807, 168385, 172721, 176890, 152408, 155779, 163499, 164397, 168070, 175016, 177898, 155321, 158179, 163596, 166689, 170871, 175216, 177802, 153842, 157949, 162257, 167828, 170579, 174480, 176897, 152154, 155976, 162433, 167856, 168536, 173867, 177356, 154797, 155782, 162199, 166057, 168847, 173345, 179666, 153273, 159039, 160697, 167014, 171164, 174485, 176616, 155651, 156182, 163646, 167157, 168729, 174831, 177948, 152780, 157374, 163523, 167517, 169964, 175709, 177782, 152383, 159743, 161268, 167824, 169082, 175434, 179505, 155561, 156492, 162866, 166746, 171914, 172965, 176265, 152383, 158502, 162498, 167242, 168071, 174244, 177858, 154200, 158861, 163146, 167242, 171149, 174014, 180003, 153972, 158856, 161956, 165856, 171117, 175551, 179647, 152548, 158624, 163888, 165535, 169979, 176168, 178518, 153972, 156920, 159881, 166623, 168776, 172965, 179263, 155716, 155823, 163886, 167242, 170773, 172671, 176968, 151706, 158056, 162999, 164115, 169320, 172613, 179507, 153660, 156644, 162431, 166866, 168590, 174504, 176258, 152486, 158539, 162485, 167652, 171577, 176117, 178687, 152686, 156287, 162860, 167832, 170134, 175584, 178162, 153831, 156182, 163656, 167776, 171170, 173059, 176515, 154413, 158911, 161054, 166177, 169330, 172375, 177223, 152225, 159160, 162570, 167076, 168566, 174240, 179323, 152408, 157895, 160972, 164337, 171012, 176122, 176448, 153169, 157895, 161650, 165870, 171009, 174242, 179473, 152306, 158046, 163748, 164772, 171048, 174657, 180325, 155647, 156644, 159912, 167800, 168098, 173622, 178051, 155080, 156437, 162742, 165834, 168656, 172530, 179059, 153525, 156968, 160065, 164161, 171675, 174590, 177063, 153842, 159273, 163156, 166611, 170490, 172658, 180066, 155119, 158202, 163092, 164790, 168918, 174779, 178880, 153957, 157885, 161449, 167047, 168426, 176203, 180270, 153653, 155830, 163777, 167446, 169506, 175064, 178340, 152939, 156095, 161774, 164975, 169026, 172209, 179809, 155123, 158141, 163425, 166523, 168650, 174076, 176600, 153525, 159710, 163875, 166290, 170922, 172340, 178765, 152302, 157750, 162149, 166504, 170293, 173936, 178758, 155741, 158935, 161526, 167503, 171532, 173544, 179754, 154810, 156071, 162127, 167265, 170007, 174266, 177509, 154294, 155841, 160538, 166679, 168573, 174265, 177786, 153749, 157895, 160407, 164191, 170387, 174521, 179215, 153240, 159867, 163657, 166022, 171884, 175836, 177422, 153820, 158635, 163425, 166946, 171532, 173275, 176775, 155194, 156933, 161930, 166593, 168566, 172323, 178961, 153842, 157214, 163858, 167531, 168409, 174345, 179112, 155381, 156619, 161133, 168039, 171048, 174727, 179659, 154044, 156559, 162631, 167030, 171738, 175981, 177618, 153241, 157780, 161599, 166002, 168943, 174160, 177976, 154517, 158957, 160181, 164892, 171565, 173144, 177148, 152302, 158436, 161913, 166063, 169320, 176213, 177105, 155647, 155831, 161661, 165692, 170183, 174625, 180198, 153842, 157099, 160060, 164834, 169436, 175179, 177709, 154432, 155794, 163337, 167505, 168734, 174010, 180231, 154517, 158291, 163829, 166778, 169851, 174663, 180244, 152580, 156639, 160826, 165296, 170666, 174294, 176688, 152802, 156732, 163948, 164537, 171174, 173523, 177291, 153798, 158070, 161327, 167446, 170337, 174085, 180198, 153900, 156898, 161592, 164043, 168250, 176039, 177732, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 64249, 825, 315, 422, 13601, 594, 6310, 323, 7232, 1059, 6950, 13, 1096, 374, 847, 2971, 369, 4623, 20031, 13, 151645, 151673, 151674, 151670, 153831, 156185, 162464, 164646, 171327, 172184, 179682, 153353, 156782, 162356, 165444, 171148, 173943, 180116, 154724, 159707, 159885, 164557, 172135, 175595, 178926, 152686, 159063, 163409, 166613, 168845, 172635, 176312, 154746, 156112, 162117, 164885, 170441, 172932, 179374, 152686, 155775, 162106, 167341, 169843, 172397, 178168, 153831, 158357, 160391, 167103, 170482, 173738, 177434, 152699, 157584, 161200, 166737, 170204, 173288, 178643, 155080, 159633, 162559, 165716, 171660, 175354, 178593, 152232, 159489, 162001, 167825, 169026, 175134, 179340, 153273, 157395, 163018, 167603, 171700, 173744, 177664, 153151, 158404, 161438, 167980, 170183, 172283, 176726, 153825, 158560, 160520, 167662, 169020, 174724, 177814, 152217, 156349, 163425, 166946, 168982, 174188, 178279, 153660, 159034, 160009, 167732, 171501, 172702, 177899, 155381, 158202, 159882, 166457, 171726, 173904, 179394, 155529, 156446, 160695, 166852, 170460, 175792, 178463, 155542, 159655, 161038, 164652, 170814, 175931, 178044, 155264, 156142, 161376, 167814, 169033, 174669, 176360, 152486, 156885, 162627, 164849, 170394, 175815, 176466, 154551, 158769, 162788, 166303, 170123, 176010, 179136, 155194, 157845, 163266, 165712, 168575, 173087, 177759, 152879, 157934, 163011, 167098, 168676, 175491, 176884, 152425, 156933, 161024, 164028, 168098, 174265, 177039, 152686, 157934, 159968, 164995, 171726, 175752, 176708, 151872, 158016, 160216, 167357, 171199, 175863, 179945, 152228, 157042, 163545, 167603, 169220, 173513, 178714, 152200, 157978, 162126, 165715, 168575, 172301, 177217, 155659, 157938, 163697, 166026, 171624, 174434, 177029, 155680, 156121, 161373, 167631, 171908, 175660, 176688, 151701, 157807, 161926, 164370, 168635, 175205, 178678, 155121, 158632, 160480, 165213, 168118, 174026, 179525, 152063, 156015, 161895, 165851, 169446, 175036, 176583, 153668, 158004, 161538, 164513, 171464, 173173, 176801, 154916, 157168, 161134, 165348, 170213, 175409, 179498, 154200, 159506, 163522, 165637, 169551, 175402, 178110, 152069, 158829, 163293, 167907, 169886, 175112, 177922, 153686, 157925, 163619, 166337, 171893, 172545, 178010, 154696, 158466, 161682, 165480, 168725, 173086, 177175, 152505, 158202, 162734, 165229, 170490, 173299, 179296, 154517, 157099, 161068, 164265, 168578, 173909, 177345, 154413, 156802, 161836, 165191, 172135, 173950, 178599, 152408, 159300, 162158, 166800, 169683, 173420, 177214, 152930, 156028, 163372, 166502, 168316, 172903, 176739, 151706, 157652, 163490, 167586, 171855, 176152, 178601, 152985, 157459, 161468, 164452, 170711, 172900, 177957, 154810, 157372, 163288, 165696, 170864, 174414, 179976, 153660, 158827, 163282, 165229, 170038, 174803, 178817, 154797, 159387, 162764, 166928, 169097, 173863, 178242, 155321, 159438, 162560, 165196, 170710, 173803, 179699, 152302, 158725, 160617, 166502, 171366, 173351, 176866, 152580, 156619, 163234, 165823, 169614, 174183, 176547, 155647, 159293, 162302, 167958, 169683, 176158, 178749, 152686, 156142, 162406, 167321, 170478, 175696, 179618, 153842, 157099, 163278, 167170, 170438, 174825, 177543, 153657, 156591, 163419, 164199, 168800, 174628, 178232, 153525, 159039, 163769, 167672, 171140, 173296, 177549, 155374, 159039, 161939, 165704, 171318, 174197, 177320, 155083, 157407, 163554, 164257, 168946, 173452, 177976, 154431, 157398, 163374, 167059, 171600, 175521, 176986, 154220, 158627, 162171, 167738, 171662, 174076, 180067, 153600, 156933, 161323, 166866, 171128, 175888, 178786, 152983, 159078, 159980, 165096, 171164, 172387, 176926, 153842, 156908, 163606, 165998, 168158, 173022, 177245, 152232, 159078, 161870, 164579, 168927, 172869, 179682, 153240, 158615, 161895, 166102, 168943, 173376, 176547, 152954, 157797, 160615, 168016, 170874, 174955, 178332, 153529, 159755, 161261, 165121, 169371, 175545, 177125, 153562, 158427, 160855, 164504, 172038, 175422, 178503, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 1249, 387, 10745, 11, 582, 7629, 944, 2167, 264, 2083, 11, 773, 358, 614, 902, 28572, 311, 6051, 498, 315, 847, 79502, 13, 151645, 151673, 151674, 151670, 152408, 158530, 163168, 166502, 169632, 172194, 179936, 152425, 158046, 159919, 165780, 172030, 174884, 176630, 152232, 158781, 162881, 163974, 169861, 175476, 176262, 152646, 157022, 160362, 164579, 168470, 173397, 177706, 155122, 158447, 161788, 164806, 171468, 175686, 178805, 154866, 159068, 160035, 167106, 169061, 174732, 177348, 153382, 159039, 162926, 167962, 171327, 175650, 179458, 152777, 157063, 163572, 165444, 168322, 172753, 178790, 154075, 157421, 162103, 167149, 170423, 175813, 176807, 155068, 159230, 160151, 166643, 169994, 174760, 179760, 151977, 158300, 163398, 166197, 170947, 175339, 179658, 153226, 159160, 161313, 165985, 168933, 175419, 177479, 152425, 159558, 163735, 164869, 168932, 175378, 179099, 152323, 157219, 161661, 166119, 169025, 174190, 179946, 153802, 157835, 161520, 166233, 172027, 173471, 178302, 153660, 155819, 163087, 165992, 171716, 172676, 179028, 154320, 157219, 162066, 164023, 168274, 173969, 176585, 152232, 157022, 161411, 164957, 170226, 175523, 178484, 154829, 157916, 162437, 167156, 171384, 174792, 179267, 154517, 157573, 162883, 165568, 168266, 175715, 179154, 153333, 156278, 162770, 166569, 170888, 174184, 180200, 153240, 158530, 159997, 167315, 169978, 174214, 179683, 154448, 155933, 163375, 165795, 169495, 174881, 176371, 152369, 155838, 163482, 164413, 171087, 173213, 178280, 152633, 158627, 160899, 167865, 169320, 174205, 179940, 155647, 156639, 163623, 164311, 172129, 175722, 177249, 152063, 156769, 162223, 166478, 168690, 173046, 177594, 152787, 156888, 163564, 165420, 170319, 173878, 177762, 154069, 157763, 162415, 166478, 170255, 175692, 176739, 153559, 156591, 160885, 164901, 170142, 174324, 179275, 152686, 158061, 162986, 166196, 169464, 175678, 176952, 152408, 158483, 160520, 164220, 170530, 174989, 176440, 153151, 158062, 162924, 166516, 170771, 175058, 178101, 152302, 157316, 161711, 165969, 170123, 172951, 178349, 152425, 159816, 163595, 164750, 170530, 173618, 177079, 153900, 156182, 163376, 164776, 170226, 175143, 177174, 153781, 159273, 160500, 167148, 171048, 175166, 177661, 154814, 157740, 161154, 165984, 171625, 174390, 176884, 152985, 158815, 161972, 167376, 170529, 174911, 180109, 152529, 156032, 161485, 164450, 170530, 173109, 177911, 152047, 156321, 163325, 167800, 168385, 175967, 177902, 152829, 159867, 163078, 165991, 169795, 174777, 177999, 155374, 157873, 163404, 166934, 168958, 172702, 176798, 152217, 157670, 161848, 167590, 170049, 174189, 178676, 151767, 157025, 160163, 165042, 171174, 174011, 179015, 154305, 159414, 162687, 165918, 171366, 175290, 178100, 154257, 158527, 163253, 166415, 171634, 172320, 177319, 153781, 155930, 160756, 166638, 172030, 173665, 179147, 155020, 159273, 162751, 166918, 171156, 173884, 177047, 155647, 155792, 160680, 166966, 171519, 174631, 179718, 152686, 159316, 162422, 166509, 171827, 174626, 178419, 153660, 156315, 160089, 164025, 172104, 174661, 178820, 153842, 156812, 161106, 167334, 168907, 176219, 180006, 153660, 159096, 163715, 166157, 169456, 172875, 178652, 152686, 159797, 161454, 165148, 172049, 172526, 178751, 153524, 159039, 162894, 164991, 169839, 173226, 176960, 153296, 156559, 162344, 163978, 171204, 174309, 176725, 155194, 158224, 163261, 165031, 171620, 174142, 180027, 154830, 156182, 163785, 166779, 168118, 175399, 179945, 154004, 156861, 163437, 164192, 170558, 172357, 177152, 155766, 158172, 163499, 165947, 168576, 174139, 179014, 154590, 157371, 161851, 167770, 170498, 174715, 179633, 154776, 158044, 163800, 165358, 168500, 173071, 176410, 152281, 158078, 163396, 164904, 170672, 172707, 180215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3966, 13038, 374, 429, 279, 1995, 304, 862, 34102, 1410, 387, 27432, 1119, 6540, 64779, 13, 151645, 151673, 151674, 151670, 154022, 159169, 161036, 165899, 170079, 173978, 178842, 154294, 156745, 161638, 165998, 168847, 175763, 177615, 152686, 156644, 161331, 165423, 171519, 173618, 177235, 155052, 158124, 160380, 165256, 170881, 173926, 177761, 153113, 159279, 159878, 165570, 169147, 174786, 179185, 152686, 158404, 159898, 165682, 170977, 172859, 176884, 153559, 157652, 159910, 165603, 170460, 173484, 177290, 153389, 159596, 163561, 164839, 171628, 172841, 178651, 152686, 156429, 160257, 164835, 170761, 173186, 176965, 154829, 156287, 162730, 166146, 170915, 172383, 178477, 153240, 156523, 161056, 166734, 169518, 172451, 180095, 154517, 157889, 161778, 167656, 172070, 173944, 179436, 152985, 159438, 161089, 168018, 168098, 174975, 178459, 154517, 156878, 161333, 165122, 172129, 173550, 177328, 152408, 158627, 160241, 164231, 168536, 173760, 176378, 155117, 156151, 160480, 164409, 170085, 173011, 180170, 154517, 159563, 160821, 163974, 171359, 172739, 177641, 152408, 157444, 162775, 166455, 168954, 172229, 177981, 155126, 157184, 161955, 165692, 170806, 175891, 180198, 152909, 156172, 160441, 165102, 169631, 176144, 179362, 155056, 159020, 162390, 167867, 168969, 172529, 176850, 152486, 158589, 161301, 165692, 171366, 172617, 177564, 152047, 158447, 161401, 164039, 171300, 173575, 176279, 155464, 158026, 162518, 164108, 172155, 176036, 176538, 152232, 159749, 160060, 164865, 169710, 175883, 179798, 152686, 157611, 162589, 167317, 168205, 173671, 179052, 155342, 158627, 163009, 167281, 170579, 174482, 178748, 154294, 157148, 163887, 168059, 169927, 176208, 176848, 153525, 157523, 161928, 167007, 171037, 172409, 178034, 155651, 159059, 161748, 164060, 168849, 174746, 178593, 152240, 159489, 161961, 164164, 170652, 174647, 179575, 155678, 156891, 163896, 167954, 170829, 175937, 178371, 153559, 159012, 162565, 166724, 170923, 175680, 180290, 155604, 156793, 161298, 163977, 169032, 174330, 177921, 151881, 157042, 162576, 166623, 171337, 174694, 176269, 153749, 156769, 161714, 165248, 169181, 173989, 177274, 153831, 157256, 160085, 167714, 171543, 173719, 177815, 152796, 159119, 162668, 167698, 168874, 175874, 179124, 154517, 158431, 162774, 164812, 168527, 172563, 178685, 152047, 155838, 163099, 165874, 169867, 174467, 177634, 154797, 157106, 163569, 166198, 170422, 175361, 179394, 155748, 157634, 161679, 167544, 169755, 173130, 176859, 153221, 159262, 163395, 166752, 169511, 176160, 178811, 154427, 157687, 159945, 167869, 171327, 175825, 176714, 155116, 156771, 163031, 164604, 169320, 175835, 179580, 153842, 156121, 162685, 167333, 168635, 174715, 177128, 152985, 157797, 161891, 165718, 171181, 174884, 180002, 153525, 159119, 161579, 164007, 171673, 173798, 180181, 154797, 158141, 163814, 166963, 168488, 173556, 179058, 152302, 158177, 161621, 164120, 171407, 175832, 176325, 152686, 159460, 163847, 166057, 170977, 173664, 178492, 153660, 158046, 162299, 167891, 168847, 173469, 177655, 154829, 158977, 162457, 166543, 169558, 174973, 178975, 155464, 159498, 161043, 168044, 169555, 176152, 178102, 153477, 157898, 161402, 166443, 171334, 175187, 179289, 153842, 159277, 160482, 167881, 170490, 174257, 176284, 153878, 158197, 162387, 164470, 169757, 176102, 179956, 155511, 157693, 163572, 167446, 171812, 174042, 178298, 153121, 157912, 160981, 164891, 171384, 172452, 179739, 152125, 156836, 160997, 165555, 171142, 174187, 178495, 152613, 158854, 161980, 165134, 168219, 173874, 177275, 153686, 156134, 160503, 166925, 171274, 172169, 177407, 154696, 156920, 161988, 166978, 169377, 174204, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 641, 5256, 11, 1128, 6932, 311, 85656, 374, 5802, 1039, 6529, 13, 46693, 14250, 16124, 572, 279, 1290, 3166, 311, 653, 13, 1260, 3207, 944, 22695, 279, 15274, 429, 566, 1030, 3949, 13, 151645, 151673, 151674, 151670, 152047, 157806, 163037, 167901, 168705, 174316, 179688, 154974, 156448, 162455, 167165, 170236, 175078, 179831, 154966, 158112, 160690, 167308, 169262, 175803, 178364, 151701, 159332, 163640, 164986, 171999, 174735, 177183, 154413, 157351, 163863, 166201, 168875, 172999, 178649, 152377, 159150, 161430, 164711, 169256, 174719, 180039, 154394, 158626, 163005, 167894, 170810, 172490, 176767, 154906, 156193, 161374, 165904, 168101, 173056, 179213, 153668, 158678, 163953, 165690, 168600, 173070, 178832, 151749, 159275, 163880, 165156, 171164, 174236, 178231, 155488, 157779, 160960, 166537, 171720, 174222, 179777, 152438, 156538, 163714, 165957, 169241, 174413, 179874, 153674, 156304, 161201, 164684, 169908, 175444, 176657, 154829, 156875, 160739, 166687, 170046, 173042, 177390, 155529, 158731, 162887, 165756, 171624, 174630, 177728, 154102, 159524, 161902, 166356, 171377, 175789, 179371, 154454, 156561, 160701, 167680, 171347, 174973, 177479, 154814, 157219, 161401, 167502, 170314, 175743, 176993, 153226, 158771, 163383, 165103, 171726, 175056, 179156, 152577, 158235, 160827, 165173, 172008, 175629, 176431, 152286, 158150, 160633, 167468, 169676, 174214, 177214, 155606, 158482, 163210, 167069, 170438, 175979, 179273, 153864, 159263, 160697, 163999, 170809, 174830, 178208, 152206, 156281, 162558, 167856, 168189, 175737, 180187, 155083, 158760, 162755, 167294, 168847, 174845, 179446, 152425, 157551, 162703, 166644, 170158, 175317, 177543, 152836, 157986, 163340, 167139, 171812, 173784, 180039, 154298, 158893, 163789, 167885, 168205, 176147, 176255, 153702, 156257, 162912, 166749, 171746, 174111, 180248, 151701, 157826, 159906, 167207, 171407, 174413, 179766, 152911, 156388, 163361, 166316, 168425, 175388, 176300, 154413, 156896, 162236, 164807, 170118, 175962, 176567, 152646, 156464, 161774, 164530, 168814, 176076, 177410, 152148, 158910, 162647, 165121, 169669, 173702, 177472, 152084, 159443, 160855, 164619, 168238, 173599, 177573, 153986, 157598, 162866, 165637, 170256, 174244, 178625, 154795, 159493, 160364, 164295, 170572, 173886, 177181, 153325, 158284, 160745, 167797, 169664, 174244, 177922, 152745, 156185, 163036, 166337, 170594, 175900, 178374, 154323, 157067, 160199, 166139, 171625, 174331, 176410, 153747, 159337, 161682, 165480, 171752, 172759, 179449, 153498, 157192, 161413, 167983, 171628, 173177, 176498, 154106, 159584, 162580, 167357, 169360, 174079, 180256, 154814, 158202, 161666, 164113, 168301, 174040, 177336, 152911, 157496, 161927, 166449, 168871, 173361, 177664, 153749, 157555, 160507, 164980, 168787, 176169, 176623, 155150, 158720, 161909, 166448, 170783, 173773, 178172, 155753, 157251, 163249, 165523, 171837, 172271, 177314, 155374, 157982, 162877, 167797, 168971, 175325, 179908, 151911, 156131, 160035, 164760, 170013, 175176, 178272, 153204, 158539, 161565, 164012, 169485, 175110, 180222, 151898, 156820, 163414, 164299, 169612, 172344, 179037, 153536, 156858, 160868, 167060, 172041, 172562, 178730, 152909, 158092, 161023, 167779, 171021, 174214, 176903, 152200, 156248, 160676, 164045, 171497, 175890, 178268, 153592, 157850, 162251, 164775, 169514, 174200, 178892, 153299, 157719, 162135, 164016, 169696, 172277, 178780, 152686, 157680, 163364, 166083, 168126, 173012, 177212, 155606, 158527, 161201, 164987, 169023, 173487, 178793, 153660, 158182, 160139, 167658, 169788, 173973, 179122, 151967, 157897, 162738, 167766, 168107, 174672, 179810, 154414, 158235, 162542, 165239, 171726, 176206, 178580, 153333, 156423, 163829, 164972, 169521, 172691, 176430, 154269, 158530, 160968, 167848, 168280, 172553, 180198, 153887, 156124, 160053, 167984, 169651, 174391, 177560, 153749, 158771, 163063, 167620, 168156, 172670, 179578, 155488, 157610, 160757, 165933, 168940, 175611, 179903, 153382, 158426, 160471, 167453, 168927, 174888, 179381, 155321, 158531, 161936, 166405, 171628, 173635, 177880, 152232, 159206, 160717, 164428, 170819, 175212, 179619, 152065, 158154, 163198, 166797, 168260, 174309, 176680, 153498, 157986, 160941, 167995, 170998, 172647, 179524, 153590, 158749, 160004, 165130, 171113, 172657, 179235, 153918, 158552, 160797, 165859, 170681, 172705, 179612, 155148, 157598, 162262, 166880, 168141, 173437, 177591, 154826, 158522, 162417, 167286, 168145, 174020, 179509, 154699, 157967, 161744, 167981, 171747, 175966, 179228, 152232, 156731, 163586, 166420, 170334, 172453, 178831, 153452, 156146, 163683, 164819, 169350, 174323, 178618, 152686, 159064, 163544, 167145, 169898, 174410, 177248, 152013, 158035, 161514, 167323, 168385, 176085, 178034, 155606, 159720, 160724, 166146, 169545, 175851, 177087, 153169, 158141, 162548, 167114, 171765, 175731, 177144, 154414, 155917, 160159, 166828, 170133, 174308, 178247, 154427, 159273, 160545, 167933, 169319, 174797, 179612, 151891, 156151, 163434, 165444, 171255, 174024, 179193, 152047, 157031, 161286, 165017, 170442, 173369, 177440, 154414, 159510, 161868, 167520, 170138, 174669, 177065, 155151, 158186, 160341, 165264, 170286, 172281, 177000, 152425, 159229, 161854, 165873, 168934, 173615, 176750, 154814, 157420, 160994, 165567, 171041, 173522, 179650, 152232, 156456, 163440, 164591, 170274, 175029, 176830, 154739, 157210, 163674, 167399, 170426, 175852, 177329, 152047, 158871, 163758, 166464, 171042, 175831, 179091, 154003, 157501, 161583, 166884, 169364, 175862, 178991, 152580, 158388, 161293, 167560, 171565, 172393, 177713, 152286, 156293, 162396, 166199, 172109, 173747, 178495, 154413, 156418, 161899, 166050, 170743, 173385, 177902, 154448, 157573, 160342, 165597, 168633, 172453, 179298, 152065, 159782, 160382, 165850, 168147, 172489, 177621, 154956, 157049, 161414, 166478, 169149, 173513, 179521, 153288, 156477, 163285, 165282, 169772, 175591, 178102, 154696, 156938, 160408, 165389, 169377, 172776, 180284, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 3862, 374, 902, 12973, 13, 36458, 15804, 1493, 6467, 13657, 13, 151645, 151673, 151674, 151670, 153636, 156438, 160262, 166021, 171660, 172160, 179212, 153204, 158242, 161546, 164050, 170406, 174846, 178198, 155529, 157344, 162421, 165596, 171153, 173044, 179544, 152686, 158515, 162038, 165786, 168826, 174862, 177284, 153660, 158291, 162574, 167435, 170614, 174746, 176266, 152686, 156375, 162519, 164623, 168930, 173241, 178747, 154242, 159655, 161920, 167024, 170429, 175662, 176538, 152845, 157892, 161088, 166585, 170558, 172643, 180198, 152228, 157010, 162075, 165810, 170681, 173029, 178295, 155202, 155830, 161956, 167492, 171020, 172727, 176829, 152069, 159095, 162115, 165946, 171236, 175087, 178741, 154682, 158466, 163026, 166978, 171781, 174461, 177269, 154916, 155990, 162173, 165255, 170370, 175525, 178694, 152383, 158816, 159960, 167985, 169712, 175241, 177477, 155126, 158139, 162003, 166257, 169544, 172996, 177131, 155080, 158242, 162764, 164771, 170190, 173815, 180312, 152425, 157148, 163753, 167665, 170762, 174567, 178469, 152232, 157483, 163184, 166479, 168545, 172294, 176614, 154427, 158424, 161972, 165090, 169895, 176125, 178217, 154517, 159549, 160764, 164999, 172070, 174578, 177281, 155374, 158846, 162438, 164192, 169164, 173959, 178310, 154517, 157519, 161360, 164975, 170614, 175948, 180095, 153831, 157978, 161660, 167388, 168985, 176055, 179899, 152686, 158205, 162760, 164168, 171265, 173026, 177013, 155519, 156040, 160719, 165010, 171278, 173943, 177221, 155529, 157654, 162075, 165756, 171943, 174187, 178998, 154517, 156812, 161331, 164248, 170474, 174884, 177015, 152302, 158977, 163962, 166117, 169231, 175252, 176448, 152686, 156745, 162442, 166071, 168334, 173842, 177330, 154517, 155951, 162508, 166501, 171041, 172989, 179948, 153204, 158625, 162412, 167927, 170018, 174698, 176433, 153653, 159150, 163157, 164154, 169985, 174096, 177854, 155715, 157533, 163884, 163987, 170046, 173982, 177533, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 32, 633, 3786, 220, 9834, 11, 429, 3643, 5530, 13, 1096, 374, 264, 1661, 6638, 369, 429, 3378, 315, 3166, 13, 151645, 151673, 151674, 151670, 153617, 155984, 162987, 165688, 168493, 176183, 176440, 155126, 157850, 161802, 164843, 171347, 173748, 177446, 155052, 158133, 161731, 166117, 169313, 172929, 179397, 152024, 156930, 162491, 165141, 171128, 174917, 176365, 151789, 156793, 160437, 165296, 168598, 175043, 180326, 155126, 159775, 162821, 165551, 169860, 174795, 178948, 155529, 157471, 160549, 167990, 169062, 175244, 178188, 152579, 156131, 161064, 167308, 171059, 173829, 176868, 153148, 155870, 163803, 166654, 168566, 173009, 177475, 152836, 156523, 160331, 167909, 170719, 175274, 176266, 154395, 157854, 160203, 166080, 168788, 175517, 180133, 155081, 155832, 163705, 165505, 169330, 174779, 177492, 152474, 157587, 163748, 164660, 171020, 174938, 179413, 152069, 159270, 160668, 165186, 171689, 172292, 180310, 154682, 158552, 161576, 164500, 171474, 176133, 179919, 153668, 158510, 159925, 167307, 168195, 172623, 180200, 152787, 158225, 163396, 166994, 168467, 175358, 179610, 155405, 156235, 163160, 164358, 171274, 174736, 177041, 152787, 158082, 160562, 165303, 169225, 175361, 176660, 153055, 157514, 163798, 164444, 170002, 174795, 177271, 154682, 156235, 162522, 167210, 169592, 174690, 178725, 151969, 157077, 163343, 167153, 168427, 173251, 178388, 154795, 157347, 161981, 166052, 168930, 172284, 177114, 153034, 159713, 161514, 167724, 170530, 173055, 177041, 152125, 158026, 163390, 165710, 169394, 174842, 176566, 153994, 158242, 162727, 164446, 170406, 174396, 177141, 154964, 157938, 160926, 166495, 168566, 173045, 176386, 152577, 156619, 160091, 166112, 168566, 175691, 178252, 155753, 157219, 162192, 167439, 168419, 175161, 178077, 155089, 159046, 161714, 165466, 170336, 175591, 180057, 154359, 157750, 160049, 164981, 168111, 172171, 177782, 152069, 159062, 161808, 165690, 171128, 175177, 179390, 154682, 159506, 161651, 164262, 169925, 175718, 178352, 152574, 157585, 163155, 166990, 168927, 175068, 177118, 152232, 159775, 160104, 166399, 170038, 176107, 178581, 152425, 157750, 161749, 165827, 171322, 172470, 176539, 154724, 159738, 163071, 164630, 170690, 173735, 177843, 151701, 157807, 160809, 164001, 169866, 174888, 179160, 152753, 156732, 161926, 165634, 169855, 172540, 176944, 154819, 157169, 160459, 164130, 168849, 173912, 179572, 154724, 159380, 162566, 166079, 168826, 172495, 178938, 155126, 158177, 161390, 166771, 168216, 172632, 179154, 152232, 156771, 163191, 165632, 170784, 173234, 177801, 155680, 156538, 162808, 165555, 171908, 174227, 178816, 154724, 156864, 163473, 165429, 170749, 172855, 178441, 153151, 159598, 163912, 165791, 171265, 174345, 178446, 155374, 156512, 163240, 164553, 170810, 175102, 178348, 154420, 157989, 159925, 165775, 168943, 174888, 180264, 154069, 159170, 161926, 166171, 168238, 175860, 178229, 153220, 158927, 160046, 165682, 171943, 173794, 176767, 155111, 159360, 162015, 167212, 168506, 173262, 179282, 154359, 156640, 161305, 164981, 171154, 172696, 180128, 153972, 156919, 162866, 163977, 168541, 173311, 177696, 154318, 159594, 160780, 167618, 169337, 174085, 179344, 151966, 156920, 163634, 166845, 169225, 174008, 180035, 152787, 157409, 162448, 167708, 170944, 175817, 178071, 153169, 156931, 162960, 166869, 170378, 173248, 179811, 154413, 158242, 160946, 166908, 168968, 173904, 179756, 151701, 157343, 163263, 166696, 169985, 175063, 177137, 154452, 159020, 163240, 164424, 170992, 175522, 178542, 155529, 157192, 162832, 167776, 169660, 172185, 176672, 155470, 158627, 163808, 164160, 168391, 172440, 176691, 152217, 158485, 161857, 166252, 168705, 174758, 179947, 153452, 158242, 161494, 166122, 168392, 175070, 177867, 154427, 157938, 160710, 166860, 171839, 175670, 179264, 154106, 156679, 160310, 167058, 170374, 174941, 178551, 153830, 157748, 163464, 163999, 171455, 173442, 177223, 155529, 158040, 160300, 167058, 168705, 175669, 176551, 153452, 157145, 160757, 167325, 170403, 173887, 176971, 154054, 156394, 163935, 164363, 168940, 175339, 179280, 152425, 157603, 162547, 166234, 170645, 176046, 179034, 154551, 158141, 163921, 165321, 171052, 176183, 180138, 155052, 157819, 161772, 163996, 169918, 176080, 176815, 154394, 155789, 163307, 167157, 168934, 173351, 177079, 155529, 156659, 160761, 167515, 169571, 174422, 177843, 152686, 158957, 161430, 167515, 169745, 175056, 178747, 154150, 159372, 161937, 164090, 171837, 175177, 178182, 152686, 158423, 160623, 165521, 171587, 174580, 176583, 152408, 156041, 161887, 165669, 171585, 173989, 178222, 152425, 158423, 160909, 164947, 170854, 172932, 178181, 155052, 159552, 160202, 164567, 169875, 175054, 177976, 152897, 159803, 161223, 164262, 171070, 173758, 178360, 152281, 155950, 160207, 166145, 169799, 172701, 178882, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 1519, 594, 1429, 4363, 4460, 311, 10198, 684, 279, 5601, 323, 6786, 806, 9342, 304, 6234, 13, 151645, 151673, 151674, 151670, 151968, 156956, 161795, 164975, 169867, 175852, 177703, 152047, 156302, 160389, 165160, 168098, 173012, 177996, 152425, 159481, 161066, 165250, 171600, 173310, 177484, 152686, 158179, 163143, 166452, 168932, 172516, 176737, 153382, 158141, 160499, 164250, 168546, 172727, 179110, 154814, 156884, 161284, 165883, 169507, 172285, 179078, 154724, 156040, 160760, 165827, 168676, 175419, 177969, 152890, 156974, 163935, 165481, 168671, 173914, 177716, 153825, 157219, 163029, 165902, 168596, 174260, 176382, 153831, 156424, 160734, 164409, 172064, 172595, 177095, 152577, 157318, 160753, 165526, 171862, 173667, 178515, 154394, 157148, 163090, 164604, 169861, 176103, 177157, 153525, 158261, 161612, 167825, 169179, 174394, 176923, 155529, 156398, 162304, 164255, 171675, 172995, 176507, 153382, 159390, 162533, 164256, 168752, 174615, 178790, 153830, 158790, 161315, 166553, 168575, 174272, 178395, 153657, 158815, 163471, 167888, 171177, 175095, 176709, 153875, 158090, 161565, 165452, 171012, 172742, 180045, 152425, 156378, 162519, 164535, 168847, 174374, 178037, 153749, 156561, 160721, 167553, 170402, 173536, 177640, 152686, 159863, 162333, 167273, 169710, 172293, 179987, 153197, 157819, 160064, 167272, 171047, 175837, 177188, 153660, 159438, 161878, 166600, 168566, 176033, 179859, 155519, 156097, 163614, 164877, 169288, 174467, 179553, 153338, 158447, 160197, 165427, 171282, 172950, 177235, 155606, 156032, 159989, 165562, 171494, 172903, 176788, 154655, 156619, 163786, 165960, 168666, 174848, 177484, 153065, 158485, 160202, 164257, 171037, 176113, 179141, 153749, 158935, 160687, 165548, 169350, 173998, 178888, 153831, 155945, 161266, 165674, 169659, 172492, 180153, 155519, 156182, 162431, 166529, 169401, 172841, 178717, 154292, 158095, 163053, 165926, 169280, 175072, 178509, 154739, 156003, 163157, 165000, 170920, 175197, 176493, 153364, 157579, 161980, 167362, 168884, 174208, 176697, 153382, 156887, 160691, 167586, 169922, 172787, 177816, 154004, 157825, 161604, 164052, 171124, 173744, 176440, 154395, 157192, 160778, 167591, 168409, 174339, 177541, 154414, 156802, 161008, 165788, 171181, 176247, 179587, 154150, 155905, 161266, 164598, 171588, 174092, 180181, 154966, 155908, 161920, 164401, 171746, 174072, 179751, 155437, 158326, 162740, 167735, 169737, 175052, 176754, 153389, 159272, 162733, 166282, 170429, 172608, 180248, 153382, 156142, 161459, 164852, 168943, 173044, 177140, 152047, 157579, 162454, 164382, 171562, 175602, 176587, 154822, 157076, 160538, 165846, 169220, 174043, 179475, 153842, 158389, 160966, 165956, 170151, 175873, 177948, 154032, 158745, 161604, 167124, 168420, 173744, 178179, 152184, 159498, 160490, 164837, 169397, 176174, 178146, 155750, 158404, 161088, 165566, 171357, 172315, 179223, 154696, 155885, 161324, 166084, 171625, 174579, 177215, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 151672, 9546, 700, 389, 264, 62757, 1899, 374, 279, 11785, 13, 151645, 151673, 151674, 151670, 154235, 157179, 163459, 164124, 171943, 174152, 177652, 152240, 158977, 160851, 167001, 171265, 175165, 179335, 152869, 158733, 163243, 164265, 171021, 172712, 177666, 153288, 156357, 162735, 165156, 170437, 172324, 176420, 155111, 156446, 160974, 167399, 171935, 173153, 179454, 152069, 155951, 160625, 166100, 169370, 175059, 179167, 154663, 156502, 163674, 164837, 168085, 172399, 179765, 154682, 158273, 160111, 164054, 168523, 173980, 176345, 153668, 158935, 163502, 167747, 169697, 175638, 176788, 154682, 159552, 161599, 164660, 170638, 175575, 180057, 152787, 159258, 162358, 164128, 170077, 173235, 178276, 154682, 156558, 161186, 164700, 170640, 172674, 179479, 153121, 157421, 161241, 165522, 170329, 173329, 178193, 153179, 157739, 163511, 165144, 171477, 175629, 179419, 155126, 156011, 163409, 168013, 168764, 173849, 180301, 152486, 158202, 160734, 165190, 169259, 175087, 179540, 154427, 158484, 162593, 165261, 171407, 175936, 178355, 155651, 159297, 160372, 164596, 170686, 172628, 179004, 154150, 159539, 160249, 166232, 168117, 172200, 180319, 155647, 158771, 162770, 164374, 171560, 175181, 179052, 152701, 159317, 161859, 164276, 168353, 175140, 179578, 153702, 157586, 161613, 165953, 169872, 173075, 179758, 155264, 158423, 163934, 164105, 168090, 173022, 177118, 152985, 158531, 161327, 165450, 168663, 172551, 176846, 154448, 155810, 162303, 165228, 168578, 174363, 177645, 152686, 159346, 160060, 164326, 170809, 172578, 178290, 152796, 155908, 163822, 166558, 171521, 175223, 178883, 154022, 157770, 160104, 165974, 169634, 175639, 179568, 154047, 158770, 161045, 165646, 170848, 173790, 179451, 154284, 158621, 162904, 166227, 170655, 175800, 180256, 153983, 158625, 161714, 167013, 168527, 172999, 178283, 155121, 156983, 160060, 165870, 169940, 173391, 179402, 152156, 156876, 160693, 165849, 170266, 173888, 177528, 152384, 159756, 161477, 165097, 168920, 174403, 177358, 153965, 157728, 162115, 167932, 171481, 172584, 179080, 151671, 151675 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]