kadirnar/Youtube_AKIN_Orpheus · Datasets at Fast360

[ 128259, 128000, 89167, 587, 109206, 10878, 10011, 352, 28985, 3067, 110746, 118847, 108487, 1048, 305, 2448, 20926, 16461, 62594, 113034, 5320, 1794, 332, 15606, 37947, 3458, 112306, 1938, 438, 93687, 38511, 125191, 2642, 103040, 13, 128009, 128260, 128261, 128257, 128817, 136066, 139283, 143873, 145153, 149990, 156766, 129552, 133004, 139526, 141223, 147502, 150550, 155607, 129718, 132952, 140484, 140637, 146022, 149726, 155028, 129055, 134789, 139247, 142026, 146802, 150554, 156936, 130473, 135180, 137709, 142249, 147595, 151721, 153592, 131085, 134270, 137883, 143607, 147477, 151433, 153160, 131884, 133843, 140167, 143948, 145635, 150871, 155110, 130893, 134052, 139459, 142140, 147984, 149026, 154640, 130147, 136326, 138807, 143651, 145750, 151731, 153858, 129987, 136083, 136790, 142577, 144782, 150315, 155853, 130635, 133682, 140127, 142817, 148077, 150915, 155933, 129644, 133005, 138528, 143484, 147939, 151172, 153942, 130486, 134450, 139716, 140832, 146326, 150321, 156334, 132253, 134436, 138745, 143289, 145750, 149157, 153361, 129188, 134606, 138490, 144151, 146043, 152501, 155853, 129385, 132665, 140315, 141463, 145182, 150725, 156602, 130147, 135188, 137072, 141487, 145005, 149237, 156781, 128786, 132619, 138403, 141524, 148152, 152310, 154098, 131817, 133091, 139427, 142281, 145946, 150762, 153880, 129718, 135229, 137282, 142902, 147914, 151403, 155031, 128344, 134973, 137123, 142503, 147228, 148996, 156142, 131035, 132572, 139433, 143391, 146741, 152529, 153195, 129121, 132458, 137922, 141752, 144839, 151272, 153186, 129048, 132572, 138058, 142667, 144988, 151146, 153631, 131959, 135340, 137007, 143513, 147403, 150783, 153108, 129718, 133975, 139616, 143701, 145183, 149866, 153148, 132160, 132889, 136659, 144427, 147450, 151950, 153156, 132042, 135602, 140144, 143694, 148064, 149555, 155846, 128963, 135828, 140045, 144378, 145156, 148786, 152854, 130124, 132421, 136491, 141885, 148278, 151244, 156435, 129048, 132572, 137138, 142882, 146764, 151414, 152929, 131563, 136381, 139415, 143394, 148636, 152696, 155531, 130462, 132890, 139404, 140771, 148595, 149391, 156173, 129552, 132684, 139924, 142282, 148545, 150006, 153426, 131884, 132706, 138596, 140902, 146728, 152107, 155827, 129785, 132718, 139677, 143762, 147082, 151519, 154026, 128500, 133975, 137603, 140853, 148192, 152786, 156654, 129048, 134951, 140283, 141946, 148504, 152213, 154787, 129884, 134161, 136658, 144574, 144912, 148980, 154055, 128758, 135692, 139719, 143251, 146400, 151567, 154440, 130124, 135677, 139227, 141710, 147995, 149439, 156706, 128714, 132890, 139950, 144362, 147359, 149696, 156801, 129423, 134968, 139037, 140886, 147256, 149051, 153305, 130779, 134337, 139330, 144362, 145298, 149318, 156781, 128758, 133036, 137567, 143402, 144749, 150884, 152875, 131397, 134357, 140480, 144502, 147414, 152624, 155528, 131200, 132889, 136923, 141885, 146219, 150657, 154016, 130096, 134725, 138065, 143283, 147252, 151272, 155747, 130702, 135920, 138074, 142624, 148149, 150357, 154302, 129813, 135627, 136807, 140735, 148585, 150454, 153430, 129667, 136222, 139325, 144517, 144824, 150951, 153243, 129811, 134596, 139138, 142767, 146537, 150098, 154283, 129718, 135535, 137367, 143748, 146448, 151783, 154116, 130124, 134276, 137488, 140689, 145444, 149291, 153268, 132079, 134618, 136653, 143829, 146315, 152652, 154931, 130417, 135904, 138647, 140685, 147000, 151315, 156424, 129667, 136185, 139229, 141254, 145178, 152383, 154095, 131188, 135921, 138605, 142024, 147751, 152154, 155626, 129423, 135864, 139567, 144574, 147239, 149457, 155685, 132106, 134636, 138781, 141775, 146085, 150348, 155914, 130809, 135229, 140158, 144592, 147914, 151399, 153372, 129718, 135626, 139309, 143474, 145434, 152319, 155529, 131397, 133146, 136973, 143397, 148147, 151519, 155184, 129552, 133010, 140004, 144220, 147357, 149142, 154279, 128484, 135904, 139073, 142738, 145695, 150404, 156618, 129552, 135442, 138758, 141547, 148209, 150996, 154489, 129048, 132718, 139242, 140597, 145341, 151554, 156152, 129472, 134991, 136690, 141945, 145550, 149546, 153187, 130124, 135370, 139535, 143510, 147658, 150020, 154663, 129472, 135026, 139028, 143696, 144999, 149033, 153291, 129575, 133905, 140467, 140605, 144792, 152341, 153098, 128557, 133952, 137120, 141704, 148675, 152477, 155963, 131014, 133493, 138067, 140950, 144766, 151247, 154405, 131188, 134121, 137037, 141148, 148712, 150280, 156668, 131625, 135818, 137380, 144336, 144686, 152626, 154160, 131223, 132665, 138031, 142674, 144998, 149807, 155728, 131543, 134309, 138190, 144516, 146145, 148957, 154537, 130207, 135475, 136879, 141212, 145255, 152561, 155760, 128266, 132392, 139552, 140682, 147700, 151359, 155455, 131044, 133524, 137520, 142563, 148610, 150946, 155049, 129243, 136322, 138128, 142403, 145371, 151699, 155317, 128868, 135007, 137369, 143997, 146386, 150232, 154945, 128258, 128262 ]

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

[ 128259, 128000, 35, 117108, 119043, 4538, 5320, 43185, 264, 10056, 370, 93385, 57398, 11, 58112, 102878, 103577, 106677, 113499, 65544, 105039, 60839, 1171, 404, 103412, 104225, 108580, 34143, 118024, 3458, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 131529, 133318, 138026, 140709, 145258, 151124, 153446, 129718, 134873, 140120, 141341, 145695, 149726, 155981, 129667, 132890, 137660, 144341, 147783, 152133, 153966, 131826, 135471, 137904, 143223, 147358, 151793, 154083, 129423, 136185, 136717, 144285, 146226, 152733, 153763, 129575, 134052, 138524, 141140, 147099, 148779, 154424, 130223, 135626, 139833, 141805, 145591, 151395, 155569, 131447, 133780, 136848, 141829, 145344, 149950, 155429, 130321, 133407, 136659, 142123, 147059, 148974, 153993, 129036, 134104, 138266, 143089, 146523, 150184, 153664, 132193, 133597, 136942, 143366, 144836, 152523, 156310, 129080, 133038, 139687, 143604, 145864, 151697, 155639, 131397, 133902, 140292, 140806, 148545, 149685, 155812, 131826, 133517, 136717, 143596, 144972, 151112, 156849, 130150, 134138, 136532, 144481, 145156, 149248, 155420, 128634, 135076, 137656, 143719, 146965, 151353, 156058, 132146, 135626, 140485, 141805, 147731, 149174, 155990, 129496, 134525, 136753, 142505, 146813, 151464, 155009, 128309, 133515, 140534, 143614, 148381, 149647, 156925, 131188, 136374, 136547, 142543, 146813, 152571, 155640, 131667, 133558, 138063, 144254, 146360, 150840, 154917, 128557, 132826, 140421, 141183, 145748, 148806, 152902, 129736, 134821, 136807, 141110, 147025, 149042, 156060, 129981, 132617, 139415, 143137, 146767, 150210, 155879, 129286, 135237, 137536, 142949, 147525, 151848, 156126, 129498, 135974, 138111, 142558, 145687, 151613, 155762, 129667, 133576, 140204, 142779, 146652, 151915, 155907, 130022, 133998, 140393, 142363, 145805, 149768, 156152, 130540, 132416, 139376, 140814, 145348, 149810, 153758, 128868, 135280, 137214, 142067, 147259, 151214, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 130998, 133103, 138478, 142726, 146257, 149915, 155873, 131817, 136113, 137609, 142786, 145069, 152627, 155348, 128606, 133846, 139026, 144063, 145442, 150315, 155921, 128720, 132427, 138645, 144469, 146676, 152041, 155105, 129121, 132458, 139583, 144406, 145494, 150208, 154684, 129552, 134276, 137283, 142177, 145695, 149255, 154663, 130124, 135237, 138468, 140613, 145591, 152156, 155151, 128584, 134973, 138094, 142271, 147953, 152822, 154262, 129718, 134160, 138842, 140842, 145695, 152004, 153656, 131114, 135811, 137744, 144494, 148477, 152161, 153404, 132253, 134278, 140543, 142016, 148714, 149574, 155343, 129718, 134460, 136593, 144311, 147016, 152232, 153000, 128549, 132615, 139553, 141056, 147596, 151611, 154376, 131188, 133612, 138036, 144083, 145519, 149144, 155891, 128439, 132865, 140453, 142306, 145075, 151609, 155570, 130124, 134795, 139732, 142996, 148424, 149853, 154214, 128634, 133495, 137488, 144305, 145828, 152415, 154160, 131268, 133695, 140012, 141528, 147977, 152021, 153931, 129667, 135071, 140271, 144140, 147487, 148860, 154906, 130676, 134613, 139042, 143474, 147525, 149275, 153623, 129667, 134948, 139127, 143338, 148585, 148860, 155650, 130124, 133403, 137170, 144504, 147654, 150032, 154862, 131251, 133042, 136469, 144175, 145136, 151656, 153327, 129286, 135199, 139763, 141253, 147525, 152523, 154112, 128543, 135066, 137498, 143608, 147575, 152285, 156156, 129080, 133082, 140053, 141629, 144956, 152123, 156548, 130412, 136298, 136856, 142368, 145178, 150011, 156331, 130321, 136385, 139669, 141542, 148739, 148964, 156365, 129718, 132502, 138163, 143694, 144669, 151545, 152883, 130124, 133016, 140095, 143613, 148352, 152237, 155960, 129718, 133324, 138842, 143703, 147038, 151441, 152932, 130147, 135665, 139438, 144644, 145695, 149255, 154384, 131188, 133817, 140393, 143281, 148267, 151790, 153620, 132146, 136240, 140055, 143712, 145028, 149145, 156217, 130124, 136076, 137527, 143763, 147761, 152590, 155211, 132240, 133677, 137330, 144436, 146921, 149564, 155716, 129987, 133938, 138166, 142520, 145057, 149692, 155095, 129667, 134082, 136504, 143783, 145864, 149688, 154906, 131397, 132865, 138726, 143067, 147541, 152561, 155387, 131543, 134033, 138664, 142942, 147791, 149175, 152898, 132253, 135974, 140022, 140754, 147751, 149136, 155762, 131397, 132874, 138800, 141064, 148580, 149987, 154808, 130123, 133996, 139837, 140796, 147989, 151373, 155549, 132106, 136370, 140417, 142360, 145646, 150393, 156147, 129286, 133135, 139132, 142251, 148262, 152794, 156890, 131625, 132904, 137525, 144496, 147261, 149378, 154227, 130598, 134390, 138479, 143464, 147519, 150413, 154613, 129286, 134525, 138213, 143696, 148221, 151499, 156060, 128562, 133727, 139280, 142757, 147605, 149440, 153997, 129385, 136379, 137740, 143605, 147413, 152148, 154752, 132240, 136385, 139463, 143924, 146718, 150050, 156733, 128484, 133515, 137576, 143844, 148355, 151057, 154623, 129575, 135082, 137213, 142133, 147581, 150279, 155366, 131397, 134764, 137991, 143449, 145801, 149825, 156393, 131670, 134940, 140246, 144451, 145795, 149336, 155647, 131652, 135416, 140053, 142041, 147823, 152562, 154208, 131654, 133996, 137152, 141593, 146284, 152367, 153877, 129221, 132516, 137634, 143512, 144680, 149680, 153856, 131529, 133223, 139426, 142810, 147259, 152723, 154697, 128258, 128262 ]

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

[ 128259, 128000, 42, 48980, 24318, 451, 79995, 17372, 18244, 1247, 104459, 88, 8747, 13, 507, 103795, 16461, 346, 11, 103095, 11, 123675, 113417, 309, 352, 123361, 121778, 15606, 15907, 273, 11, 128009, 128260, 128261, 128257, 132185, 132788, 138412, 141911, 146149, 150569, 155435, 128549, 135107, 138488, 143028, 147077, 149254, 156454, 128543, 133403, 137505, 142812, 145951, 150091, 155011, 129923, 132615, 140159, 144594, 147228, 151699, 154239, 129575, 133146, 139920, 144349, 148352, 152791, 154585, 130608, 136076, 139743, 140831, 148183, 151113, 155941, 128812, 132865, 137662, 143201, 145612, 149571, 155994, 128321, 133066, 138969, 142142, 145547, 148968, 155325, 129575, 135865, 139523, 143810, 145695, 151444, 156760, 129667, 135523, 136850, 141594, 144994, 151661, 156029, 131114, 135825, 140256, 140650, 146664, 149418, 154306, 130150, 134973, 137011, 141228, 147093, 151210, 155104, 129718, 134632, 138126, 144222, 144808, 149175, 155216, 131188, 133148, 139740, 143849, 148210, 152605, 156485, 131515, 133268, 138091, 141195, 147452, 149946, 154421, 128652, 135198, 138418, 142754, 146850, 151082, 156076, 128812, 134922, 139216, 144064, 146145, 150896, 156137, 128827, 134978, 140370, 140719, 146816, 150516, 156590, 130658, 133635, 137900, 142643, 147443, 150177, 155478, 131223, 132516, 137120, 143145, 145812, 149099, 154086, 130255, 135862, 138134, 140564, 145275, 151473, 154228, 132318, 132987, 139661, 142221, 144738, 150413, 155265, 129912, 134177, 136786, 142409, 146335, 150413, 153003, 132185, 136443, 140199, 141425, 145762, 151135, 153888, 130779, 135358, 138847, 141778, 147194, 152165, 154237, 131103, 135285, 140500, 143087, 148646, 150099, 153555, 129286, 133407, 138830, 143027, 145695, 148792, 156249, 130124, 133148, 139662, 142203, 146402, 152693, 154633, 129667, 136298, 138522, 143411, 148099, 151074, 153207, 131286, 133566, 138888, 142721, 147498, 149675, 156523, 129718, 136340, 139548, 143612, 146281, 151888, 154860, 131035, 135274, 138220, 143844, 147149, 150404, 156072, 131652, 135483, 138820, 143648, 145156, 150408, 155936, 131223, 133054, 136646, 142100, 145952, 151359, 156000, 130255, 135926, 137561, 141100, 146428, 148849, 153751, 131704, 135354, 136960, 141617, 144971, 152786, 155756, 130124, 133704, 138067, 143222, 146478, 149560, 152852, 130473, 132925, 136981, 143454, 147298, 150669, 153782, 131563, 135626, 136517, 141913, 147914, 149597, 156584, 129288, 135706, 140393, 143420, 145655, 151314, 152852, 132318, 135868, 138433, 140874, 146405, 151744, 156648, 132151, 134047, 136786, 143296, 146386, 150240, 156264, 130334, 134098, 139880, 143976, 146386, 150314, 156264, 128983, 135924, 137528, 143848, 146054, 151217, 156456, 128285, 134242, 139761, 143482, 145177, 151528, 156388, 129423, 135471, 136955, 144020, 146729, 148866, 156862, 131817, 135564, 139027, 142012, 145881, 152253, 156699, 129575, 133780, 139077, 142449, 145695, 148967, 153253, 129286, 135473, 138539, 141547, 147000, 152077, 156071, 129080, 133043, 138414, 142701, 148099, 151731, 156574, 129813, 134536, 138919, 141756, 146824, 152533, 156173, 132265, 136039, 139332, 142229, 147290, 152646, 154677, 128460, 135538, 138528, 143803, 144669, 149659, 154257, 131397, 134267, 139686, 141952, 145864, 150067, 155969, 130336, 135811, 139316, 142618, 147646, 149987, 156584, 131979, 132517, 136665, 143962, 148545, 150491, 152989, 129718, 132385, 138904, 142622, 146475, 152039, 154694, 132193, 133495, 138360, 144308, 145783, 151404, 156213, 131397, 134552, 139315, 144517, 148580, 151259, 153425, 131826, 136297, 140004, 140625, 148310, 151142, 154860, 129012, 136274, 139883, 143272, 147273, 150777, 153502, 129718, 132768, 137632, 141883, 145695, 150399, 152977, 128945, 135489, 137964, 142309, 145190, 152649, 155510, 128634, 134668, 138904, 141629, 145717, 150797, 152985, 129121, 133910, 138555, 140772, 146015, 151307, 154306, 129718, 134106, 138074, 140888, 148424, 149045, 154279, 129671, 135317, 138526, 143373, 147724, 151894, 153228, 132106, 132572, 137958, 143949, 146426, 151209, 156040, 129273, 134422, 137889, 142177, 147994, 152644, 154153, 129601, 134521, 137817, 142468, 144893, 152374, 154919, 130304, 134376, 137520, 144639, 146179, 152565, 156661, 130255, 133359, 138478, 140940, 147283, 148859, 153648, 130929, 134562, 140476, 141995, 145952, 150187, 155931, 128258, 128262 ]

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

[ 128259, 128000, 66497, 579, 113623, 107847, 11, 297, 4543, 6256, 5308, 5320, 123710, 107847, 11, 13338, 10784, 2448, 123985, 264, 3742, 65544, 4538, 18728, 8747, 104304, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 152168, 154410, 132151, 135924, 140199, 141096, 148568, 151931, 156625, 128634, 135346, 137610, 141844, 145695, 151538, 154621, 130147, 133268, 139681, 141616, 144788, 149291, 154880, 129718, 135489, 137039, 143348, 145132, 149223, 156259, 129575, 136076, 137525, 141381, 147749, 152822, 154425, 130702, 132370, 137769, 140971, 145900, 150557, 155944, 130124, 134076, 137664, 141372, 146853, 149548, 156333, 129423, 132975, 136694, 141807, 145413, 151884, 155700, 129667, 133952, 139255, 142520, 148099, 151047, 154149, 131114, 135416, 136546, 143421, 144866, 151311, 154385, 128634, 136455, 139194, 144009, 147763, 149211, 154873, 131122, 134277, 138417, 141883, 148710, 152423, 154910, 132173, 134624, 137396, 143100, 147314, 152104, 153695, 129048, 132572, 137878, 142755, 144745, 152620, 155208, 129996, 133148, 137728, 143674, 146664, 151041, 156897, 129567, 132494, 140356, 140555, 146096, 148904, 155049, 129601, 133240, 139994, 144208, 145357, 150577, 155307, 130929, 132405, 140379, 143025, 148150, 150766, 155677, 130255, 135385, 140379, 143040, 145275, 149175, 152852, 132185, 134177, 140443, 142802, 145391, 151949, 154034, 130334, 134971, 137759, 142122, 146386, 152168, 154410, 132151, 134098, 138026, 143025, 145313, 150775, 153271, 130977, 133103, 137944, 143147, 146627, 151871, 156646, 130591, 135299, 139469, 143025, 146824, 149036, 156776, 131884, 135811, 139556, 142125, 146438, 150229, 154351, 131307, 134072, 139184, 143054, 146284, 149521, 154208, 131704, 136226, 139469, 141944, 147873, 151817, 155855, 128634, 133649, 139025, 142984, 148509, 151933, 153207, 130336, 135199, 139147, 140952, 145012, 149522, 156334, 129572, 134861, 139766, 142081, 147861, 151681, 155915, 131259, 135156, 136512, 144302, 144916, 148832, 155377, 130282, 132363, 138662, 140772, 148108, 151542, 153848, 131892, 132369, 138491, 142994, 146448, 151230, 156863, 128543, 136150, 139364, 142973, 145114, 151037, 153030, 131619, 135785, 139274, 142013, 147233, 149572, 153804, 130124, 135346, 140340, 141312, 148364, 152835, 156922, 130147, 136136, 137120, 142058, 144713, 151539, 156900, 130282, 135979, 139603, 142190, 144713, 148833, 154258, 130124, 135875, 137014, 143861, 148636, 148826, 155929, 129751, 134070, 139856, 141019, 145494, 150980, 155349, 130124, 134440, 137926, 141450, 148628, 151074, 154031, 131036, 133726, 140473, 140564, 147317, 152786, 154613, 132173, 135074, 138128, 142016, 146340, 150652, 156284, 131907, 134940, 139399, 141771, 148710, 151098, 156343, 132188, 135116, 140139, 143221, 146340, 148962, 154423, 131442, 135626, 137334, 144391, 145387, 148820, 154262, 130124, 135943, 140267, 144592, 146059, 150860, 154618, 130178, 133091, 139039, 143284, 145213, 151078, 155853, 128266, 132766, 138243, 144090, 146179, 151455, 155891, 131223, 134376, 138665, 141676, 146664, 150595, 154295, 129221, 135155, 139411, 141955, 144693, 150868, 153406, 130929, 135043, 137899, 140940, 147609, 149132, 154233, 132318, 133025, 137369, 141995, 148731, 152021, 154356, 128983, 136443, 136619, 140983, 148731, 149175, 153271, 132185, 135280, 138929, 142157, 145964, 150259, 156545, 131368, 133294, 140272, 142963, 145063, 151307, 153306, 129667, 132765, 140430, 142058, 147599, 151864, 154683, 131543, 134939, 138624, 143970, 145952, 152603, 153898, 128484, 134686, 137233, 140763, 145760, 150675, 155678, 129987, 133472, 139945, 141735, 146016, 149071, 152871, 131580, 132427, 136857, 142701, 148172, 149872, 153792, 129667, 134949, 139969, 140591, 145223, 152579, 154808, 128578, 134659, 137733, 144108, 145134, 150978, 155206, 128484, 135835, 138842, 142966, 146505, 152583, 156752, 129106, 133779, 139321, 143212, 147008, 149718, 154413, 128439, 133757, 139478, 143272, 145414, 149882, 153558, 128634, 133324, 138257, 143784, 144694, 150740, 155867, 129718, 134138, 136814, 141691, 145494, 149564, 153727, 129121, 133359, 136965, 142794, 148710, 151964, 153277, 129667, 132687, 139223, 141545, 147359, 150341, 156019, 129048, 133125, 140316, 142949, 146901, 149632, 155663, 128634, 135071, 139012, 140822, 144724, 149635, 153002, 129981, 135920, 138308, 144222, 145963, 151225, 154977, 132193, 133699, 138662, 141299, 146620, 151325, 153353, 129738, 136066, 139985, 140647, 145012, 151239, 156888, 131188, 135921, 137903, 144245, 148122, 152331, 155989, 130598, 136322, 138513, 142081, 148449, 152235, 156379, 131188, 136054, 140247, 142965, 144840, 152700, 155042, 132172, 133740, 139591, 144336, 144953, 151097, 153275, 128850, 132495, 139957, 143438, 147646, 151606, 153825, 132240, 133728, 137594, 142372, 146400, 152655, 155790, 128484, 134940, 137374, 143844, 145202, 151371, 156375, 131543, 132846, 137776, 141856, 148247, 152649, 156443, 131625, 134628, 138227, 142830, 145505, 151549, 154425, 131318, 135114, 139011, 143227, 147201, 150025, 155214, 130598, 132815, 140017, 142664, 146906, 149657, 156493, 131652, 132711, 139473, 141805, 144693, 149099, 156199, 130178, 133745, 139507, 144119, 145275, 151722, 156117, 130758, 135954, 138041, 143148, 148029, 149325, 156244, 128258, 128262 ]

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

[ 128259, 128000, 46, 104059, 324, 2779, 21270, 19332, 92933, 11, 106677, 24318, 451, 79995, 11, 11018, 102430, 107500, 15606, 125137, 112787, 115724, 120546, 5320, 85226, 767, 103064, 102739, 102219, 1880, 110403, 120392, 113044, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 141096, 147568, 152659, 155328, 130591, 136443, 138847, 141880, 147136, 151365, 155150, 128606, 135829, 138542, 144509, 147487, 149051, 152970, 128850, 136379, 136857, 143008, 147435, 150557, 154888, 128956, 135418, 140125, 140682, 145153, 151557, 156147, 129843, 133045, 136469, 140910, 146709, 151671, 153277, 130709, 133802, 137343, 142016, 145268, 151181, 154640, 128484, 134138, 139738, 144639, 147962, 151356, 155795, 129981, 134157, 139019, 140877, 147297, 150081, 153969, 128439, 132384, 139432, 141579, 145556, 151763, 156122, 129048, 133268, 138695, 143066, 144749, 150826, 154140, 128634, 136064, 139181, 142546, 147414, 150567, 156011, 129718, 132457, 138268, 142972, 144749, 150218, 156061, 129667, 135943, 137074, 142634, 147487, 150067, 156347, 129718, 134379, 139608, 140955, 148377, 149405, 155174, 130124, 133922, 136517, 140923, 145190, 151619, 155022, 129813, 135071, 137817, 142214, 145260, 152140, 153772, 130124, 132865, 138703, 143948, 148380, 149423, 156001, 130207, 134274, 137267, 143826, 146949, 152254, 154962, 131835, 134498, 140151, 142334, 146756, 149647, 155493, 130912, 132766, 140269, 144482, 146158, 151249, 155048, 131200, 135636, 140206, 140842, 145183, 150106, 153917, 130282, 133740, 138843, 142063, 148300, 152447, 152906, 131188, 132391, 137740, 141670, 147311, 149692, 153707, 130223, 134390, 139853, 144212, 145695, 150246, 155038, 132146, 135197, 137383, 144392, 147251, 151698, 155298, 131039, 135798, 137787, 141528, 146210, 152138, 156355, 130124, 135706, 136939, 143918, 146710, 149832, 156658, 128945, 134198, 139917, 143614, 148632, 151579, 154045, 131505, 136089, 136503, 142260, 147808, 152367, 154964, 129221, 134468, 139161, 144566, 146250, 152305, 156769, 130758, 134922, 137721, 142284, 145057, 151354, 156425, 132106, 135864, 139760, 144600, 145178, 152810, 156784, 129404, 133268, 139264, 142020, 146540, 149795, 156241, 131826, 136297, 140283, 143749, 146777, 149824, 153824, 131104, 134185, 138330, 142773, 145253, 150474, 156732, 131035, 134150, 136754, 141622, 148405, 150915, 156910, 129575, 134187, 140534, 140731, 148088, 152273, 156245, 130457, 132775, 137008, 141793, 147899, 152617, 154858, 128652, 134596, 139733, 144083, 145695, 152373, 153746, 130223, 133358, 139845, 142533, 147691, 149569, 156644, 130709, 133403, 139268, 142323, 148322, 151698, 155403, 131188, 136197, 140467, 141897, 145183, 152458, 153617, 131530, 132660, 139965, 142747, 148114, 151837, 154910, 129667, 133262, 138129, 141537, 146362, 149805, 153352, 131188, 134424, 136664, 143537, 147604, 149060, 155210, 128812, 133399, 137287, 140752, 146284, 151885, 156782, 131039, 134679, 139514, 143654, 146774, 148904, 155612, 129086, 134378, 136637, 143617, 145941, 151613, 155115, 130223, 132457, 137129, 141621, 146607, 149953, 154512, 129472, 133598, 139324, 144067, 147914, 152077, 153513, 131188, 133407, 138120, 142501, 144869, 151384, 154396, 129718, 135185, 138860, 141094, 148210, 151806, 155099, 130124, 136136, 139575, 143017, 146710, 149007, 155064, 128956, 133324, 139482, 141593, 148662, 148934, 155395, 131188, 135503, 139535, 143240, 145695, 151900, 153992, 128668, 134198, 140112, 143135, 147059, 152566, 156510, 129981, 136436, 138881, 144087, 146114, 149715, 152873, 128545, 132561, 136639, 140822, 148172, 150188, 155980, 129575, 132457, 136639, 143979, 144792, 150297, 156061, 132240, 134878, 139781, 141034, 145153, 152704, 153005, 128557, 134951, 140271, 143703, 148449, 152310, 156301, 129575, 132508, 136716, 143649, 146878, 152522, 156890, 130223, 135503, 138748, 142345, 147166, 151054, 153049, 129552, 135974, 136816, 142634, 145846, 148927, 152885, 131397, 134848, 139687, 141254, 147629, 151685, 156017, 129585, 136308, 137919, 142012, 147624, 152404, 153984, 128557, 136216, 137480, 141795, 148650, 150980, 155230, 131625, 135856, 138149, 141846, 144740, 150469, 156328, 129718, 135094, 137849, 143386, 145436, 149770, 155528, 129985, 134051, 140378, 142330, 144999, 152414, 154232, 128956, 133755, 139084, 144394, 145646, 150693, 155640, 131543, 134546, 139176, 144635, 145721, 151188, 153224, 129552, 132865, 138960, 142919, 146339, 149848, 155373, 128597, 136225, 136692, 143862, 146653, 152732, 153727, 131991, 132385, 138046, 142691, 145183, 149868, 156218, 132172, 135599, 137543, 141150, 145462, 149514, 153199, 132173, 135964, 137407, 140660, 148322, 152374, 154866, 129981, 134963, 139363, 140588, 148338, 152329, 156920, 131652, 136301, 137639, 144356, 148300, 152501, 156239, 131288, 134679, 136757, 141829, 145132, 152597, 156059, 131505, 136344, 137748, 142101, 146881, 152170, 153439, 131652, 133292, 137384, 140761, 145812, 150147, 153243, 131223, 133524, 136487, 141664, 144680, 151581, 153835, 129880, 133240, 137451, 140940, 144680, 149031, 154964, 128258, 128262 ]

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

[ 128259, 128000, 1966, 64, 110693, 108102, 24318, 109819, 11, 101813, 15606, 118383, 105221, 16017, 41990, 4355, 293, 10114, 38404, 13, 105664, 1048, 813, 1565, 547, 15606, 64010, 91166, 3105, 636, 556, 2106, 318, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 145606, 149058, 153977, 129700, 133766, 139474, 141145, 144816, 151671, 155849, 132193, 136292, 138766, 141742, 145648, 148946, 154940, 129738, 135311, 138786, 141467, 145463, 152000, 155902, 128850, 135074, 139661, 142975, 145620, 150910, 153651, 129667, 134536, 139987, 144319, 145012, 152630, 154612, 132276, 134618, 138897, 142132, 148051, 150329, 153320, 130147, 136418, 138331, 144180, 145516, 150895, 154869, 131200, 132461, 138279, 141701, 144808, 151806, 156263, 128557, 134805, 136495, 144574, 146179, 151973, 154007, 132253, 133762, 136680, 144159, 145556, 152213, 153678, 128956, 135543, 136999, 142477, 145695, 148980, 154517, 128597, 133579, 140054, 142142, 147786, 152232, 154304, 128812, 133305, 136952, 144154, 148380, 152484, 153998, 129385, 132665, 139527, 141288, 147618, 151656, 156352, 128560, 134284, 137522, 143725, 145284, 151268, 153055, 131563, 134651, 137612, 142944, 146505, 152093, 155954, 128812, 133268, 139971, 143222, 145556, 150408, 155796, 130147, 134343, 137582, 142592, 147858, 152389, 155991, 129021, 132855, 137007, 144457, 146871, 151501, 152982, 128652, 134367, 138453, 143418, 145760, 150207, 155901, 129048, 134319, 140042, 142332, 144673, 149986, 154822, 131122, 135219, 139194, 143040, 147564, 150111, 153984, 130462, 135564, 136953, 142815, 145846, 151906, 154170, 128578, 132846, 137733, 141523, 148368, 151534, 154968, 129575, 135103, 139798, 143687, 145183, 149570, 154756, 130124, 133993, 139012, 140607, 144745, 152198, 154755, 128758, 132726, 140388, 144475, 147391, 150502, 153771, 132240, 132658, 140184, 142987, 148095, 150146, 154124, 129569, 134565, 139258, 141444, 147864, 148800, 154267, 131238, 133382, 139680, 144435, 147652, 149818, 154194, 128956, 134642, 140171, 143449, 148377, 150303, 152850, 130465, 134608, 136515, 143709, 145834, 150360, 153856, 131223, 133069, 138809, 143970, 146627, 152218, 154676, 130255, 134468, 139552, 141360, 146263, 150946, 155478, 130929, 132405, 140476, 141100, 144814, 152094, 153421, 131482, 132526, 136468, 141133, 148731, 149325, 153977, 128983, 134893, 136887, 143040, 146760, 149629, 154356, 132185, 136443, 138929, 142409, 145964, 149074, 154647, 130334, 134971, 137952, 140709, 146386, 150314, 156264, 128868, 134788, 137990, 142834, 147204, 152449, 156737, 129496, 135762, 138827, 141740, 148580, 152457, 156147, 131397, 133576, 138707, 142864, 146894, 151330, 153195, 129273, 135120, 136675, 142745, 146803, 149688, 153085, 131884, 133517, 137509, 144337, 145329, 152126, 154242, 130147, 133342, 140397, 142076, 148646, 150688, 152854, 129472, 135665, 140467, 142225, 145298, 150577, 156666, 131817, 135054, 136521, 144491, 146658, 151703, 155853, 129718, 135166, 140217, 140830, 148209, 149597, 155798, 129048, 132573, 139285, 144501, 145414, 150889, 155674, 132265, 132724, 139948, 143749, 148172, 151884, 155796, 131826, 132874, 139229, 144191, 144761, 152302, 156814, 128812, 135522, 136491, 143203, 147914, 151844, 155033, 130124, 136025, 138756, 140919, 146813, 150644, 156057, 131039, 133601, 138709, 144563, 147085, 149681, 153291, 130418, 136149, 138816, 142441, 147227, 149295, 153776, 131164, 135637, 137472, 143200, 146240, 149074, 153651, 128956, 132708, 140273, 144274, 144657, 151248, 154884, 128812, 135974, 140342, 141517, 145420, 149836, 154134, 128652, 135303, 138236, 140857, 147730, 152583, 154376, 129718, 132864, 139963, 140890, 146389, 152764, 154040, 131200, 135530, 136509, 141016, 145992, 150780, 153880, 129667, 134252, 138700, 141966, 146362, 149185, 152967, 131778, 135180, 139707, 141463, 148632, 149402, 156226, 131288, 135772, 140370, 144481, 148660, 152313, 153659, 130950, 133268, 139484, 144539, 146029, 152127, 153341, 129846, 136385, 139039, 142741, 147840, 151293, 154124, 131223, 132665, 139049, 143389, 148135, 149552, 153878, 131044, 133282, 138034, 141118, 146664, 149440, 153118, 128416, 135847, 136734, 140608, 146664, 148912, 153111, 131529, 136223, 137382, 142810, 147259, 152723, 154697, 128258, 128262 ]

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

[ 128259, 128000, 1966, 359, 106276, 102565, 4008, 7370, 6729, 22924, 1565, 2779, 103838, 118606, 15606, 1446, 7143, 7792, 18578, 3029, 5964, 2448, 13, 2998, 113070, 115950, 103838, 103454, 45949, 438, 93687, 39797, 119666, 38404, 27615, 70, 2448, 102234, 9697, 50994, 5320, 568, 2396, 273, 112557, 113499, 483, 114994, 102272, 13, 105664, 297, 101564, 103314, 27028, 101246, 45949, 309, 33573, 100463, 5320, 43185, 102219, 111212, 102272, 106005, 802, 125771, 31285, 4341, 100300, 46937, 60839, 89, 111027, 123710, 1370, 49662, 102154, 51514, 560, 2092, 13562, 100721, 100693, 67565, 4168, 1072, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 150314, 152997, 128868, 133676, 137758, 143831, 146126, 151005, 154672, 129813, 133784, 138414, 144602, 148486, 149966, 156046, 129667, 133747, 139622, 144245, 148083, 151108, 153458, 131328, 135475, 138601, 141778, 146710, 149028, 155812, 129644, 135009, 136679, 141750, 148575, 152424, 154166, 132173, 136089, 139054, 140989, 144893, 150774, 156841, 129552, 134613, 140375, 143450, 144749, 150166, 153332, 130854, 133850, 137934, 143290, 145545, 148837, 156029, 129718, 135556, 137169, 142604, 145612, 151582, 153423, 131328, 134509, 139366, 142142, 145218, 152796, 154925, 129667, 135881, 139264, 142919, 144994, 152792, 155292, 129813, 133215, 139229, 143500, 148099, 148829, 156731, 131979, 135197, 140200, 142058, 148380, 151915, 154303, 129288, 132902, 139851, 143603, 148424, 151540, 154191, 131103, 136076, 140393, 142005, 148352, 151830, 155996, 131098, 135180, 137480, 141958, 146068, 149387, 156045, 131530, 133888, 140364, 141670, 145436, 149667, 156742, 131826, 132600, 140223, 141808, 148580, 151748, 155411, 129552, 135864, 138018, 143749, 145153, 151884, 156406, 129718, 133618, 136964, 142694, 148449, 151219, 156662, 132173, 134728, 138699, 140569, 146566, 152269, 152847, 129552, 135508, 138093, 144027, 144939, 149702, 153240, 129667, 136297, 139682, 143272, 146067, 152319, 155693, 128652, 134502, 138203, 144526, 147494, 149548, 156051, 129718, 132895, 139384, 142159, 146426, 152233, 156715, 131530, 132991, 137848, 142906, 146263, 149717, 153727, 129286, 134534, 139558, 140977, 148313, 149522, 154087, 132253, 135880, 139861, 140974, 148374, 148880, 156168, 128810, 133903, 140141, 141003, 148582, 148906, 154232, 128557, 135010, 137214, 143196, 148055, 149226, 152923, 129552, 132865, 139255, 143056, 146281, 152578, 153023, 129667, 135475, 138415, 143303, 145394, 150517, 154134, 129714, 133282, 140279, 141007, 146879, 150131, 156804, 130709, 134679, 136618, 141322, 144908, 152526, 153325, 129575, 133268, 139192, 141716, 146284, 152402, 155822, 128384, 134995, 136700, 143124, 147402, 150414, 156317, 130539, 135889, 138373, 141003, 146482, 152759, 155481, 132172, 134419, 138459, 141332, 144788, 150147, 153373, 130013, 134560, 137486, 142324, 145570, 150725, 155130, 131652, 135412, 138881, 142551, 145655, 152404, 152875, 132124, 132711, 138936, 142977, 148135, 150132, 153751, 129221, 135520, 138185, 142284, 145306, 152494, 154295, 130929, 136261, 136468, 140564, 146638, 148756, 155563, 128983, 133489, 136951, 141535, 144721, 149074, 154034, 130334, 134971, 137759, 140709, 147259, 150047, 153977, 130998, 134205, 137815, 142309, 147936, 150223, 154300, 130165, 134436, 140386, 141350, 145775, 149997, 156497, 131397, 134594, 138844, 142180, 146965, 149052, 156847, 132193, 135347, 138483, 141512, 145613, 152753, 156288, 131543, 133325, 137202, 144247, 145995, 152030, 154888, 131397, 134848, 138148, 141962, 148580, 152536, 155241, 131543, 134525, 139827, 140782, 146625, 151028, 155969, 130465, 133493, 139732, 141857, 145080, 150942, 153634, 131505, 132775, 137701, 142674, 147356, 149429, 153584, 129055, 132551, 140131, 141541, 144953, 152382, 155450, 130912, 134295, 138954, 142247, 145838, 152603, 154235, 130702, 133868, 137911, 144195, 147953, 152305, 153258, 132106, 132889, 137471, 141861, 144919, 151857, 156510, 129045, 134646, 137279, 141098, 145516, 150860, 156651, 131421, 134407, 140159, 143311, 148667, 152382, 155563, 128652, 132587, 139817, 143537, 145487, 151433, 156810, 131397, 132865, 140504, 143889, 148352, 149458, 154134, 130702, 133635, 138443, 142687, 145649, 149066, 153797, 131014, 133555, 137904, 144387, 147829, 152788, 154345, 129496, 135681, 136654, 144081, 145057, 149692, 153882, 131397, 133870, 139059, 141097, 147525, 151248, 152904, 129045, 136161, 140397, 142307, 147239, 149927, 156932, 131397, 133468, 137042, 142904, 147509, 149499, 156322, 129045, 136234, 138844, 143917, 146813, 151702, 156596, 129708, 133288, 137856, 143534, 146789, 149043, 155075, 129575, 136046, 138471, 144062, 146246, 152629, 156566, 129385, 136144, 137747, 142501, 148206, 150541, 156088, 131421, 136054, 138933, 142861, 146670, 152451, 155074, 131039, 135498, 139676, 144077, 144872, 150034, 153386, 131397, 135071, 138747, 144140, 147525, 151435, 156020, 129767, 135500, 138146, 144411, 147996, 151656, 154403, 128969, 132890, 137777, 142217, 146461, 150134, 154318, 129973, 132470, 138765, 143110, 147592, 149083, 156037, 130223, 136093, 138287, 142680, 145183, 150408, 154815, 128652, 132637, 139528, 144182, 148449, 149678, 154400, 131035, 132622, 138016, 141976, 147832, 150362, 155368, 131188, 134965, 138627, 143324, 147730, 150851, 156542, 129575, 135237, 139011, 144119, 145551, 151974, 152972, 128436, 132890, 139328, 140560, 146105, 152474, 156805, 131014, 133587, 138079, 144535, 147307, 150792, 156526, 131397, 134552, 138497, 144107, 148247, 151553, 153542, 130457, 132711, 137164, 142635, 145868, 151307, 154574, 131188, 132774, 137264, 141338, 147791, 152825, 153746, 130210, 133469, 137355, 141836, 148632, 151490, 153549, 129045, 134878, 139136, 144432, 145695, 151642, 156626, 131397, 135445, 138400, 141738, 145695, 148953, 153770, 128634, 135880, 139507, 143348, 146682, 149067, 155215, 129718, 134498, 138984, 143512, 147454, 150413, 155216, 129045, 135442, 137840, 144107, 146045, 150250, 156905, 128557, 132775, 137037, 140584, 146746, 148819, 156917, 131188, 132865, 136467, 143191, 145757, 151189, 155587, 132173, 135416, 138535, 142221, 146938, 152627, 155078, 131515, 132865, 140103, 143323, 145965, 151823, 156493, 129385, 134922, 140315, 141612, 148206, 152804, 152857, 131188, 134437, 136868, 142765, 148426, 152261, 153132, 132146, 132889, 136709, 140746, 148249, 148914, 155403, 131039, 132771, 137922, 142723, 144660, 150334, 154528, 129667, 133851, 138795, 141995, 146147, 152811, 152931, 131312, 134436, 139982, 143231, 148462, 152035, 156835, 130550, 132519, 137902, 141261, 148712, 152271, 154759, 131397, 133056, 136510, 140631, 147043, 152041, 156390, 129045, 135798, 138089, 141427, 147541, 148876, 156076, 129552, 136424, 137374, 144445, 147771, 151714, 156625, 129719, 135611, 138442, 140964, 148660, 148761, 155202, 132127, 134521, 139586, 142950, 147499, 148875, 156763, 128275, 134973, 137376, 142468, 148068, 151100, 153758, 128983, 134472, 137374, 143670, 148212, 150916, 153411, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 131529, 133318, 139880, 140709, 147076, 150278, 155746, 129860, 134893, 139643, 144167, 148327, 152609, 152849, 132193, 135694, 136953, 142096, 146365, 149112, 155560, 129717, 136165, 138644, 143601, 145733, 150540, 153995, 131018, 136406, 140434, 144082, 148172, 149060, 153735, 129286, 135016, 137800, 141559, 147304, 149939, 156423, 130147, 136216, 136488, 140582, 148468, 152834, 156752, 128969, 135148, 140463, 140737, 147485, 149499, 155475, 129045, 134150, 140073, 143912, 146448, 152646, 156145, 130282, 136385, 137914, 140640, 144808, 152255, 154621, 129813, 136257, 137807, 140919, 148580, 149729, 156657, 129756, 135197, 138554, 140812, 147198, 150354, 156770, 128634, 133756, 138824, 142448, 147791, 151432, 154262, 131754, 136092, 137720, 140651, 147093, 152295, 153209, 128812, 132895, 138872, 142026, 147914, 151288, 156011, 132059, 133010, 138588, 143445, 145298, 152081, 154743, 128812, 132895, 137414, 141940, 148449, 152656, 153625, 131188, 134138, 140111, 144639, 145580, 151742, 152892, 132253, 132822, 136493, 144218, 147746, 152274, 156831, 128557, 133133, 136930, 144457, 148646, 151307, 155638, 131667, 135458, 138987, 144634, 146478, 151484, 153825, 129667, 133483, 138348, 143058, 146124, 149660, 153211, 131039, 133481, 137276, 142142, 145059, 148968, 155074, 128578, 135156, 139014, 141810, 146102, 150038, 155242, 130124, 136403, 140066, 143752, 145695, 149391, 154734, 130223, 132369, 136916, 141336, 147950, 150200, 156197, 129045, 136161, 138004, 142610, 147730, 152234, 153300, 129575, 136076, 137161, 144572, 145152, 150874, 155800, 130178, 134069, 139881, 143312, 146741, 151129, 156443, 131640, 134284, 137578, 140772, 148632, 150549, 156016, 130751, 133368, 139774, 143870, 147160, 152586, 153216, 131636, 136168, 136894, 142590, 145868, 149514, 153470, 129496, 133361, 136966, 143367, 146813, 150792, 154567, 131636, 134069, 139933, 141793, 146912, 151093, 153396, 129045, 135626, 140463, 141665, 148613, 149462, 154637, 128652, 136149, 136886, 143203, 145660, 149391, 152875, 128584, 135010, 136665, 144043, 147953, 149426, 153522, 129667, 134074, 137420, 144600, 147136, 148749, 153430, 128557, 134479, 139091, 143480, 145843, 150996, 155110, 132253, 132740, 137044, 144355, 147791, 152310, 154245, 129575, 135861, 137325, 142025, 148334, 152217, 155391, 131188, 135229, 136474, 142400, 147689, 151360, 155570, 131397, 134848, 139866, 140773, 147414, 152766, 156641, 129667, 134805, 139683, 142152, 146967, 151691, 153979, 129423, 132865, 137247, 142804, 146732, 151530, 153858, 129667, 136161, 138360, 144139, 147436, 152051, 156242, 130847, 135334, 140219, 142664, 147201, 151536, 156821, 129575, 133407, 138586, 141084, 145695, 151114, 152898, 129286, 132895, 137120, 141528, 146842, 150207, 153002, 128812, 132520, 138094, 142546, 148437, 149391, 153203, 128761, 132600, 140538, 141966, 146716, 149548, 155377, 128597, 134770, 140012, 141836, 144975, 152627, 153086, 128484, 135904, 137749, 143815, 147514, 152037, 155512, 132232, 134813, 140087, 140569, 147339, 151894, 155263, 129045, 133498, 138980, 144603, 145593, 152283, 153473, 130282, 133307, 137846, 141133, 144808, 151636, 154366, 130223, 134378, 139600, 144420, 148192, 149379, 156686, 132253, 134452, 138465, 143420, 146732, 148946, 154111, 129667, 132844, 138827, 142511, 145934, 150158, 153560, 131041, 135266, 137739, 142927, 145449, 150762, 153953, 130124, 134862, 140426, 144365, 148424, 150337, 153130, 128652, 134160, 136513, 143619, 146216, 151148, 154978, 131421, 133870, 140235, 142757, 148236, 148975, 155151, 130457, 136062, 139904, 142017, 145843, 148774, 155118, 131397, 135147, 137874, 141629, 145085, 149971, 153156, 129667, 132607, 137189, 143351, 147650, 149341, 153042, 128557, 133231, 138534, 144392, 145054, 149865, 153085, 129604, 133359, 138166, 141846, 144732, 150038, 153048, 131188, 132381, 138972, 141292, 148449, 152084, 153067, 131397, 135071, 138823, 142306, 147054, 150167, 156177, 131619, 133780, 138656, 141402, 145556, 150669, 156381, 130150, 134554, 139581, 141421, 147730, 151017, 153632, 129981, 135442, 139359, 143000, 148673, 152294, 154856, 129756, 132832, 139676, 140569, 147982, 150933, 153594, 128850, 135377, 139218, 143058, 146764, 151126, 156584, 131563, 135816, 140314, 142156, 145723, 149890, 155400, 129667, 135061, 137119, 143412, 145183, 149334, 155557, 131397, 133468, 137699, 143056, 148084, 151111, 155493, 129735, 133146, 139476, 143247, 148485, 151440, 154430, 130321, 133936, 136893, 141939, 147955, 152749, 156142, 129813, 133063, 139147, 143443, 148401, 149745, 154009, 131039, 132771, 138528, 142622, 145478, 148781, 156624, 130928, 136039, 138306, 144333, 145299, 149185, 154574, 132042, 136039, 140284, 143372, 147025, 150768, 156727, 129185, 132982, 138910, 142054, 148264, 152439, 153626, 131563, 136046, 140237, 144147, 145114, 151714, 155185, 129220, 134906, 137493, 142471, 148045, 148821, 153053, 128956, 136364, 138686, 140657, 145435, 149288, 156157, 132103, 135285, 139143, 143888, 148174, 149248, 155790, 129575, 133564, 139980, 142838, 144975, 152220, 156641, 129898, 134565, 136713, 144594, 148242, 149064, 156300, 130178, 135560, 138871, 144026, 145812, 150864, 153649, 132028, 136379, 137139, 142533, 147189, 152279, 156937, 130591, 133546, 137740, 143019, 148559, 151714, 153802, 128258, 128262 ]

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

[ 128259, 128000, 76702, 3344, 3258, 104383, 34143, 118024, 105039, 60839, 1171, 404, 114899, 46937, 22841, 116717, 3423, 127057, 114605, 13, 122769, 969, 120748, 101664, 1678, 31803, 294, 2706, 72, 15606, 3900, 52198, 450, 7792, 305, 8115, 11, 119114, 9697, 15606, 18578, 77891, 100542, 5320, 104223, 71862, 108643, 103880, 747, 50994, 103810, 109792, 72, 62788, 273, 1725, 5888, 8747, 13, 128009, 128260, 128261, 128257, 128813, 134117, 137637, 144466, 144907, 149312, 154020, 129045, 136301, 139153, 142722, 147914, 148829, 156411, 131826, 132975, 140282, 142938, 147981, 149968, 154529, 128969, 135128, 137863, 141061, 147595, 151742, 152868, 131778, 132471, 137191, 141595, 147595, 149477, 154744, 131826, 133909, 138625, 142882, 146965, 151799, 154388, 129644, 133771, 139475, 143530, 145006, 151164, 154262, 129813, 134677, 140304, 141593, 145954, 151669, 156917, 130751, 134829, 140195, 143925, 148622, 148934, 154727, 131397, 134677, 137413, 142803, 145123, 149339, 155991, 129738, 132666, 137605, 143316, 148707, 152289, 153244, 129717, 135471, 139924, 141952, 148207, 151871, 153727, 128592, 134468, 136779, 144198, 148449, 150324, 152977, 129575, 134951, 140010, 142688, 147956, 150156, 155284, 131884, 132908, 140516, 143845, 146067, 149484, 156180, 130020, 134339, 136783, 140781, 145253, 149825, 155173, 129718, 136216, 140530, 143371, 145861, 150070, 155196, 132193, 136451, 137920, 141354, 147304, 150598, 155531, 130096, 134094, 140054, 143219, 146923, 152269, 156468, 129045, 133587, 137272, 142511, 145648, 148849, 154804, 131397, 132575, 137930, 143104, 145005, 152632, 155333, 129976, 135694, 137267, 142030, 146816, 151459, 153064, 129286, 134947, 140116, 144485, 147239, 152748, 156101, 129667, 134663, 137386, 142620, 146562, 150788, 156658, 129575, 135214, 137157, 140582, 145875, 151938, 154694, 130124, 133495, 137926, 141955, 148437, 150091, 152977, 129378, 135253, 139577, 143523, 145970, 151993, 155097, 131188, 135796, 139077, 143885, 144669, 149773, 155091, 129378, 134624, 137617, 140709, 145866, 150554, 154289, 131160, 134766, 136634, 143598, 147507, 150995, 155455, 130835, 134661, 137514, 142286, 147982, 152021, 154880, 131397, 133399, 137189, 142456, 146813, 150138, 155193, 130487, 132972, 138183, 141041, 144782, 152320, 155597, 131543, 135566, 137493, 140681, 148426, 150397, 153300, 129667, 134720, 137536, 143666, 145436, 152624, 154288, 131114, 134138, 138949, 141589, 145229, 152041, 155647, 129937, 133985, 138633, 142555, 146339, 152513, 153955, 130457, 133506, 140194, 143613, 148214, 148905, 155760, 128275, 133453, 138909, 140773, 148242, 150319, 153870, 131806, 133054, 138004, 143889, 146477, 148948, 156374, 132124, 132649, 136687, 141940, 147713, 151881, 155455, 129881, 132392, 138041, 143712, 146500, 149258, 154569, 131158, 132766, 140262, 141817, 145275, 149657, 155469, 128813, 135780, 139733, 142974, 148663, 150223, 154241, 131530, 132665, 139593, 142609, 145418, 151846, 155507, 129286, 135757, 137396, 141494, 146299, 152396, 154253, 129937, 132677, 139112, 144641, 145933, 151033, 155537, 129045, 136210, 136822, 142620, 147502, 150825, 156139, 130709, 134478, 140035, 142817, 147224, 148928, 154921, 131884, 133671, 139548, 143402, 147306, 151945, 153374, 129644, 132684, 140064, 142032, 144749, 149828, 153617, 129045, 133126, 139904, 144130, 147730, 149642, 153243, 130282, 134940, 138940, 144289, 146135, 152545, 155933, 132142, 135308, 136852, 143893, 145183, 151455, 154273, 129045, 134892, 137384, 141943, 146564, 152461, 155723, 129552, 135800, 138842, 140840, 148364, 149074, 155829, 128945, 136076, 137039, 141805, 145284, 149930, 155208, 130124, 135933, 137044, 141629, 146475, 149801, 153110, 129496, 135442, 137552, 140754, 147730, 150144, 154744, 130282, 132542, 140321, 140685, 145612, 152073, 155829, 130854, 136292, 139110, 141663, 145387, 151261, 156641, 131104, 135946, 136868, 143243, 145648, 148842, 155607, 131821, 136064, 138846, 142468, 144972, 149866, 155033, 129185, 134546, 137184, 144039, 146059, 150369, 156473, 128634, 135370, 137233, 142385, 145298, 151692, 155489, 128652, 132844, 136658, 140753, 148074, 152084, 154421, 129472, 135285, 137880, 142971, 147109, 151637, 154815, 131442, 135835, 140393, 141516, 145183, 152370, 154244, 129472, 135556, 140544, 144323, 144732, 151382, 155715, 128634, 132369, 139030, 143631, 144746, 150288, 156827, 132232, 133465, 140012, 141439, 146132, 148942, 154847, 129718, 132895, 140007, 142566, 147502, 149341, 154046, 128969, 134789, 138620, 141846, 144971, 149254, 153554, 128812, 132369, 137190, 144410, 146189, 150408, 156661, 130598, 132774, 137776, 143089, 148721, 152225, 154509, 131670, 133358, 138726, 144046, 147029, 151321, 155165, 128557, 135096, 139505, 143397, 147371, 149975, 154760, 130223, 134138, 140327, 141785, 147743, 152691, 154418, 128584, 134217, 139581, 143249, 146281, 150952, 153487, 130473, 132865, 137377, 143524, 148209, 149927, 155226, 129288, 133099, 137622, 141616, 145363, 149044, 155601, 131447, 134827, 137226, 144435, 145709, 148968, 154094, 128634, 136136, 139252, 142734, 148380, 149924, 156853, 132098, 132706, 139971, 140587, 147824, 150967, 155046, 131817, 134513, 137176, 143511, 148313, 151475, 155718, 129188, 134409, 138741, 140970, 145673, 151514, 153004, 130451, 135214, 140405, 142968, 144788, 150128, 155700, 129718, 132414, 137750, 141625, 145695, 151017, 156169, 130223, 134138, 136776, 144576, 145965, 152274, 155571, 128578, 133303, 138384, 143911, 147417, 148906, 155664, 129286, 133305, 137619, 141840, 144657, 149255, 155110, 130285, 132840, 140166, 142130, 145528, 152637, 155296, 129718, 135346, 139194, 144154, 145691, 151294, 155418, 131122, 134805, 138129, 140851, 147824, 151180, 154910, 131368, 135790, 140012, 142016, 146340, 152193, 156132, 129575, 133535, 137870, 142497, 145695, 150980, 153295, 129718, 133407, 138986, 140816, 147166, 149307, 153002, 128312, 135162, 137355, 141992, 147826, 150289, 155976, 131530, 133005, 137343, 142419, 144685, 149631, 153996, 128484, 132425, 140536, 142525, 146993, 151253, 154209, 129385, 135926, 140080, 142334, 148381, 148985, 156855, 132293, 134954, 137854, 143179, 147369, 152804, 154970, 130324, 136294, 137226, 144475, 146950, 149140, 153796, 130422, 133593, 137993, 144576, 145082, 149783, 155040, 129291, 134430, 139017, 142672, 148627, 152621, 153064, 132318, 134512, 137848, 140701, 146465, 151473, 153390, 128817, 132450, 139051, 144052, 145057, 151975, 156315, 128545, 134845, 139785, 144478, 146078, 151134, 156522, 130688, 132653, 140223, 144082, 144996, 151134, 153036, 131670, 134378, 138229, 144428, 148377, 150626, 155822, 129385, 132665, 140315, 143660, 147279, 149781, 153762, 129048, 135455, 139091, 143478, 146191, 148985, 155942, 131041, 133663, 137035, 142935, 146630, 148995, 153366, 129718, 134503, 140374, 140826, 147059, 149720, 154707, 131368, 132580, 138001, 144183, 144749, 150093, 154819, 130147, 134052, 139071, 142207, 146710, 151920, 153025, 129843, 134805, 139134, 141512, 146728, 149418, 156364, 128436, 132975, 137744, 142112, 147588, 150711, 153708, 131041, 133495, 139688, 142980, 148380, 152679, 155284, 129575, 134458, 137750, 144286, 145153, 152740, 154149, 132253, 135500, 137632, 140747, 145162, 152212, 155992, 130598, 133045, 140545, 141793, 146179, 148945, 155597, 132146, 132989, 140116, 141814, 145695, 152520, 154743, 129718, 135626, 140145, 142229, 146426, 150474, 156823, 132253, 132389, 139116, 142505, 147077, 149293, 155303, 131826, 135237, 140203, 143428, 147588, 151300, 154514, 130860, 132457, 138147, 143263, 146637, 150737, 152943, 132253, 136093, 138128, 144356, 145183, 152363, 153487, 129981, 132369, 137063, 142419, 147041, 148886, 153759, 131384, 135973, 140444, 141153, 146281, 152218, 156629, 128634, 135173, 139031, 143272, 147792, 150712, 153542, 128812, 135864, 136644, 141199, 145794, 149836, 153278, 130702, 134618, 137251, 141934, 146860, 150322, 156307, 131188, 135229, 139229, 143421, 146816, 149592, 153725, 130709, 134922, 138661, 141385, 147994, 152610, 155614, 128812, 135253, 139311, 144484, 148424, 152723, 156357, 129552, 133125, 136610, 141503, 146138, 150441, 155800, 129935, 136062, 138923, 143010, 147015, 149705, 154385, 132232, 136196, 140443, 141413, 144749, 149387, 155949, 128945, 133333, 139397, 143414, 146912, 149430, 153529, 128557, 136025, 139147, 140715, 146053, 150316, 152951, 131341, 135636, 138368, 140882, 144999, 152098, 153365, 130223, 133475, 137776, 143270, 148372, 150441, 152945, 131409, 135461, 138416, 141836, 145085, 148758, 153421, 131652, 135763, 139565, 143167, 147549, 149476, 154990, 131223, 135926, 137568, 143190, 145716, 151613, 154799, 129221, 132516, 137642, 143472, 144804, 148779, 155669, 131529, 132433, 136795, 141855, 147259, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 101579, 107062, 9188, 75009, 34143, 278, 93687, 80726, 293, 1091, 115913, 127871, 100973, 11, 379, 69828, 6127, 404, 117560, 6729, 63244, 295, 109590, 13, 128009, 128260, 128261, 128257, 128448, 132788, 138710, 141737, 145867, 149145, 154171, 129539, 133805, 140386, 144585, 145104, 149568, 155712, 132265, 133596, 136808, 141508, 148483, 149340, 156229, 129552, 134013, 138291, 142197, 147930, 148934, 155996, 129116, 132684, 138299, 144581, 146692, 150711, 156351, 130285, 135626, 138423, 142015, 147500, 150869, 153702, 129286, 132962, 140524, 143164, 145153, 149401, 155423, 129045, 134296, 139604, 144207, 145434, 148946, 155768, 132193, 135900, 138924, 143070, 148037, 149274, 153258, 130282, 133240, 139959, 144557, 147583, 152422, 153932, 131543, 132369, 139794, 143953, 148152, 152288, 153552, 129286, 136136, 138637, 144289, 147093, 150079, 153288, 131397, 135237, 138803, 144369, 147525, 151895, 156066, 132193, 133801, 139343, 144134, 146705, 151978, 154650, 128592, 133686, 138187, 143533, 148160, 151339, 156023, 129045, 135904, 139638, 142514, 148495, 148763, 155368, 132193, 133259, 139415, 142293, 145016, 149184, 153191, 131543, 132895, 139919, 143741, 147000, 148955, 154609, 129718, 132444, 137609, 141913, 147914, 149177, 154043, 129012, 136161, 137375, 143435, 145080, 151798, 154532, 131397, 133146, 137474, 141254, 147359, 149256, 155091, 129667, 132567, 140506, 144602, 148099, 152171, 154126, 128634, 135221, 138180, 142152, 148710, 150311, 156141, 131823, 133242, 139961, 141883, 147377, 150809, 156909, 130449, 135348, 139930, 141073, 147219, 151883, 155266, 131998, 135319, 139997, 140660, 145079, 149440, 153796, 128266, 134376, 139785, 143970, 148276, 148988, 153671, 131397, 135943, 136786, 142326, 146813, 151851, 153926, 128520, 135328, 138169, 141846, 145927, 150814, 155552, 131543, 134525, 138348, 140733, 146023, 149674, 156152, 129116, 134827, 136962, 142757, 147349, 150638, 154411, 128634, 132889, 138588, 142574, 146695, 151792, 154858, 131447, 134595, 138661, 141507, 146449, 152603, 156130, 131188, 136136, 137544, 141128, 147791, 151044, 155243, 131543, 135880, 139847, 144432, 147150, 150297, 156211, 131397, 136168, 138474, 142723, 147929, 149272, 155091, 129667, 135071, 137441, 143272, 144941, 152826, 156479, 129045, 134864, 140296, 141805, 148437, 150796, 153932, 129667, 132865, 140340, 140842, 144745, 150925, 155307, 132146, 132941, 140361, 143969, 147950, 150672, 155609, 129718, 135503, 140366, 140606, 147628, 149452, 156882, 129684, 134973, 138667, 144539, 146802, 148988, 156095, 131104, 135480, 140317, 142782, 148095, 150129, 156485, 131039, 135644, 140508, 141008, 147426, 152195, 154478, 128969, 132807, 138148, 142320, 148313, 150246, 156451, 132127, 133132, 138941, 144171, 145575, 149200, 155800, 130172, 136012, 139780, 144392, 146925, 152056, 155902, 131223, 133776, 139071, 142132, 145188, 150009, 155611, 129221, 135926, 139850, 140830, 146664, 151726, 153753, 128868, 135140, 138568, 143997, 146386, 151650, 154597, 128258, 128262 ]

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

[ 128259, 128000, 32, 1764, 49996, 106753, 106005, 88787, 16461, 122058, 80726, 2766, 318, 28074, 112557, 24318, 451, 79995, 107388, 109488, 12460, 22589, 450, 15606, 122448, 1759, 5308, 102847, 4355, 110143, 13, 128009, 128260, 128261, 128257, 132151, 135924, 140403, 141562, 145380, 150416, 154572, 129462, 135907, 136759, 140559, 148084, 149345, 154265, 131104, 133899, 138948, 142919, 147938, 149729, 153477, 129621, 135095, 139526, 144613, 148345, 148751, 156314, 131397, 133033, 139476, 144617, 145656, 152451, 152897, 131826, 136087, 137824, 143395, 146965, 149903, 154639, 131821, 134677, 139250, 142332, 146139, 152305, 155780, 129738, 132653, 138729, 141807, 145943, 151014, 156533, 129045, 134606, 136819, 144305, 146738, 149362, 153096, 129644, 133091, 136848, 141749, 145676, 151147, 155395, 131821, 133943, 138972, 144564, 148622, 150740, 155771, 131104, 134441, 138786, 142368, 145473, 150618, 155513, 128969, 135564, 138726, 143445, 147117, 151759, 153886, 131397, 132683, 140095, 141302, 146729, 151362, 153160, 131826, 133368, 140336, 143885, 145691, 151941, 153518, 129496, 134499, 137655, 141183, 145057, 151927, 156174, 131399, 132921, 137529, 141805, 148742, 149195, 153727, 131731, 135210, 139558, 140704, 144996, 152438, 154899, 129667, 135811, 139330, 144623, 148327, 149729, 156395, 130039, 132717, 137188, 142501, 147632, 149948, 156380, 129667, 133077, 137350, 144285, 145178, 151330, 153920, 128634, 135258, 137744, 142077, 147349, 152548, 154824, 128969, 133407, 137525, 144217, 145948, 150933, 154505, 128634, 136408, 138984, 144415, 147150, 152005, 154044, 129667, 136297, 136553, 144034, 146281, 149527, 154942, 129813, 133033, 139325, 142077, 146324, 149607, 153573, 131705, 132369, 137699, 143243, 146702, 150196, 156900, 131543, 134878, 139556, 143782, 145153, 150052, 155865, 131826, 135048, 137152, 141824, 146205, 150947, 153076, 132127, 135463, 139134, 143462, 147232, 151614, 153798, 131998, 134983, 138667, 141939, 147775, 151704, 156763, 131652, 132711, 137487, 140813, 147925, 150009, 155455, 131654, 135412, 137777, 142927, 146356, 152786, 155106, 131014, 135974, 138030, 143399, 147730, 150468, 153504, 132146, 133811, 139275, 140569, 146263, 151139, 155368, 129718, 133281, 138036, 142954, 147730, 151555, 156330, 131744, 133993, 139816, 142697, 144998, 149817, 153089, 131543, 136289, 139981, 141980, 145434, 151141, 153728, 131188, 135221, 140168, 140622, 145225, 151220, 154784, 131397, 135436, 137878, 143472, 148424, 150063, 155324, 131039, 134424, 136593, 141525, 145059, 151698, 155368, 131397, 135814, 137086, 142720, 146438, 149255, 154400, 131908, 135811, 140103, 141427, 147618, 149491, 154920, 129667, 133567, 137687, 143717, 146241, 149611, 154906, 129813, 134536, 137441, 140952, 147783, 152254, 156777, 131667, 135677, 136610, 144212, 148334, 152305, 155526, 131397, 133068, 137570, 141609, 147136, 149243, 155091, 132193, 134980, 136482, 141874, 147364, 148964, 152927, 131543, 134878, 140149, 140603, 147000, 151464, 153882, 131188, 135276, 139608, 141926, 145016, 151476, 153358, 128652, 135626, 140282, 141241, 147731, 152346, 156763, 130321, 135112, 136817, 141394, 145727, 151685, 154146, 129045, 135219, 138074, 143324, 147595, 151864, 156658, 131035, 135599, 136990, 143000, 146340, 152020, 156738, 128652, 135573, 139153, 143414, 145875, 152751, 154559, 131188, 133452, 136545, 140679, 147704, 149101, 153000, 132240, 134413, 136616, 143620, 147953, 149147, 156147, 128543, 134264, 140038, 143122, 144798, 152318, 155394, 128956, 134150, 140251, 143599, 147869, 148827, 152968, 130321, 134624, 138958, 141752, 147426, 151595, 153202, 130124, 135116, 138526, 144444, 144790, 151570, 153208, 131035, 136265, 139428, 144040, 147929, 152143, 156868, 130124, 136097, 137844, 142862, 144810, 150653, 153631, 129504, 132510, 139645, 144086, 147287, 151055, 156900, 128557, 134612, 138900, 143045, 146170, 152649, 156587, 131858, 134280, 140127, 142817, 146695, 152382, 156694, 131543, 135116, 138651, 143481, 146240, 151062, 154085, 129575, 135018, 139692, 143789, 144749, 151980, 156512, 128652, 136455, 136879, 143712, 147909, 152746, 156745, 130223, 134521, 137704, 141928, 146357, 151564, 155933, 129045, 133239, 138660, 143187, 147414, 150077, 153171, 129707, 136288, 136967, 143445, 148395, 150246, 153700, 128258, 128262 ]

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

[ 128259, 128000, 42, 408, 106290, 44316, 2111, 268, 101766, 258, 259, 2448, 26554, 3457, 117821, 103454, 8334, 359, 109885, 8747, 13, 1952, 84, 81438, 106723, 49621, 16461, 103319, 107230, 4538, 106723, 49621, 8492, 114400, 11, 297, 69144, 38511, 665, 12657, 68233, 85939, 2779, 15606, 62594, 123675, 31285, 1864, 19494, 346, 11257, 25877, 102046, 9484, 318, 13, 128009, 128260, 128261, 128257, 131133, 135894, 138961, 141694, 147921, 151018, 155104, 128634, 132931, 137860, 142004, 148139, 149808, 155991, 129667, 134292, 138648, 144304, 147001, 152544, 153702, 129981, 133449, 138468, 142385, 144903, 148832, 155927, 128634, 135117, 138984, 142298, 146749, 152257, 154263, 129667, 132625, 136863, 144300, 146134, 150840, 155423, 131778, 134414, 137158, 144517, 145035, 152815, 156766, 132340, 133928, 136518, 143205, 147810, 150512, 155912, 129045, 134777, 137981, 140842, 145196, 152567, 154743, 131543, 134422, 138672, 140796, 145775, 150362, 156383, 131826, 132428, 137655, 141419, 146067, 149611, 156002, 128757, 135126, 139528, 141414, 145520, 149195, 156510, 132146, 134965, 136942, 143908, 145177, 152135, 156426, 130854, 132975, 140321, 144633, 146540, 150701, 156635, 131821, 132975, 137097, 140908, 144979, 148791, 156294, 131104, 136292, 138291, 141952, 147189, 151648, 154093, 131823, 135322, 136642, 141397, 145270, 152617, 155033, 128969, 133327, 136827, 142549, 146564, 152627, 156651, 128652, 135442, 138240, 144296, 145543, 148898, 154947, 128634, 134637, 139952, 141492, 146124, 148901, 152897, 131421, 134805, 139793, 142844, 146653, 150181, 155987, 128652, 133661, 136945, 143222, 147385, 151585, 154493, 132146, 134451, 138277, 140660, 146093, 152342, 156349, 131397, 136136, 137889, 144344, 144939, 149156, 153042, 131188, 135442, 137053, 143397, 145687, 150570, 153917, 129073, 133326, 139459, 141869, 145641, 150534, 156093, 128850, 133796, 136851, 141327, 145843, 149704, 153240, 130223, 134951, 137242, 142123, 145695, 151648, 154345, 131397, 132504, 139973, 141910, 147149, 152637, 153671, 128634, 132976, 137374, 143407, 146852, 151339, 156036, 129185, 135021, 137944, 142022, 146566, 149782, 154188, 131341, 136308, 139543, 143545, 144749, 150377, 156811, 129187, 132925, 136472, 143913, 144776, 151636, 154425, 131652, 133996, 140333, 141547, 145834, 149338, 154105, 131223, 133320, 137240, 144302, 145377, 148779, 154846, 130929, 135321, 136734, 142631, 145615, 151581, 154512, 128983, 132549, 139983, 142673, 148731, 152487, 154697, 132185, 136443, 140199, 140983, 146108, 148907, 154137, 130334, 134971, 138630, 140709, 146386, 152168, 154410, 132247, 134788, 139880, 142122, 146386, 151741, 154355, 129920, 132537, 136900, 141517, 147136, 149570, 156818, 129813, 136039, 137428, 141024, 146190, 150712, 153899, 129736, 133154, 137551, 143122, 148035, 151666, 155087, 131397, 135044, 137904, 143439, 145476, 148877, 154243, 131931, 132698, 137277, 143344, 147707, 152626, 156871, 129718, 134372, 136886, 141678, 147956, 152093, 155511, 128635, 135696, 137074, 141529, 146957, 150351, 154208, 130912, 133506, 137930, 142227, 148005, 150389, 156370, 131397, 135061, 137840, 141860, 146216, 150105, 156698, 129575, 134252, 140102, 144528, 145695, 149432, 154433, 131039, 133993, 140250, 140851, 145059, 152232, 156925, 129813, 136021, 137086, 142546, 144780, 150755, 155860, 129667, 135811, 138908, 143155, 148119, 151681, 154504, 131397, 134606, 136766, 143185, 147939, 151975, 156579, 128543, 135071, 137405, 143349, 146959, 150170, 152871, 130621, 135515, 137336, 142575, 148566, 152409, 155976, 129423, 134299, 138634, 141151, 148328, 149408, 155473, 131826, 133368, 139274, 144127, 148580, 152145, 155604, 130124, 135473, 139316, 140831, 145687, 149709, 155292, 131035, 135096, 140437, 141261, 146015, 148867, 156808, 131397, 134076, 140421, 144020, 147136, 152377, 152904, 129045, 134080, 137096, 141568, 146364, 150706, 154393, 131035, 134712, 139332, 142295, 146695, 152617, 154040, 132193, 134412, 137902, 141523, 147873, 149019, 155934, 131397, 134499, 136562, 142882, 145153, 149194, 153332, 129286, 134150, 136766, 142134, 145203, 152832, 156753, 129718, 132728, 137655, 144506, 147604, 151829, 154304, 131039, 133660, 139981, 141752, 145946, 148761, 156468, 131104, 136057, 138971, 143826, 147136, 149805, 152972, 130847, 135974, 139600, 142596, 145687, 152552, 153620, 129552, 134511, 137846, 141428, 147239, 151510, 154066, 129045, 133468, 137154, 142057, 146093, 148906, 153089, 131188, 132376, 138091, 143696, 147000, 151858, 153941, 131397, 134444, 140277, 143446, 147280, 151204, 154418, 129045, 136161, 139925, 141609, 148491, 149107, 155177, 131035, 135176, 139996, 143889, 147724, 151160, 156769, 130013, 135317, 139994, 142479, 148506, 149299, 156367, 129055, 136408, 139453, 141465, 145924, 150168, 156117, 130255, 135670, 138495, 141163, 145166, 152548, 153067, 132318, 135702, 139416, 144466, 148410, 149915, 154449, 131884, 134142, 138131, 141857, 145687, 151671, 153475, 130702, 134512, 137339, 143033, 147435, 151656, 155051, 132253, 133452, 139247, 144642, 147330, 152273, 153669, 130124, 132859, 139386, 143201, 147166, 149795, 156667, 128634, 133199, 137046, 141655, 146840, 152511, 154234, 129286, 132865, 138273, 143962, 144941, 148953, 155700, 129045, 133693, 139379, 143317, 146816, 149593, 152975, 131341, 134287, 140236, 140852, 148706, 152721, 155080, 131652, 135558, 139727, 142863, 146566, 151536, 155151, 132028, 132925, 139595, 144429, 148242, 149418, 156327, 131654, 135566, 140361, 142914, 148424, 149929, 155643, 130589, 133004, 137053, 142822, 146301, 149064, 154789, 131397, 136292, 139653, 144316, 148328, 149932, 156334, 128543, 134460, 138927, 143427, 148356, 152394, 154707, 131397, 132619, 138667, 143187, 147414, 152794, 156542, 129045, 135237, 140196, 140740, 148580, 151434, 155532, 128520, 134712, 139116, 143243, 146813, 151404, 155170, 131397, 132835, 140382, 144629, 144812, 151666, 155095, 130458, 133727, 138994, 140714, 147554, 151093, 154430, 130282, 133659, 138526, 141305, 148084, 148799, 153568, 129045, 133655, 136738, 141834, 146089, 149146, 153632, 131188, 135214, 137038, 143603, 148350, 152519, 155031, 132146, 135933, 138474, 143636, 147166, 148875, 152891, 128557, 134878, 138259, 144026, 144830, 148929, 155145, 131397, 132874, 137388, 140964, 147359, 149446, 156607, 129496, 135475, 136584, 141962, 145999, 149893, 153140, 131952, 135599, 140121, 143006, 144908, 152285, 154952, 128914, 132807, 137359, 142605, 147314, 149786, 155410, 128969, 134613, 138236, 141121, 145496, 148809, 153548, 129552, 136064, 138465, 142684, 148424, 149216, 156402, 132253, 133061, 138812, 144538, 148181, 148980, 155003, 131014, 134458, 137157, 141794, 146102, 148942, 156242, 129273, 135442, 137967, 140956, 146305, 151720, 154187, 130465, 132511, 140323, 141272, 146813, 151697, 154860, 132193, 136219, 139763, 143564, 145517, 151143, 154569, 130296, 133631, 139965, 140796, 145825, 150473, 156044, 131103, 133228, 136464, 140954, 146625, 152446, 153660, 129423, 132376, 140248, 141254, 145673, 152532, 153939, 131397, 133303, 136744, 141593, 145344, 151515, 155992, 131104, 134044, 140361, 142782, 146072, 152674, 154230, 132173, 133872, 136478, 143530, 145104, 149631, 153034, 131397, 135706, 139652, 140663, 148733, 151888, 155450, 129166, 132865, 137037, 143580, 146562, 151093, 153626, 131397, 132504, 138844, 142130, 146699, 151689, 156699, 131543, 135048, 139973, 144413, 146710, 149301, 153090, 132193, 136125, 137099, 142691, 146962, 151474, 153950, 131543, 134444, 137557, 144445, 148530, 148855, 155737, 131104, 132521, 139051, 141053, 147149, 150501, 156263, 129045, 133538, 137929, 144040, 147636, 152163, 156076, 128354, 132515, 138847, 144206, 146105, 151540, 152847, 129898, 132500, 139360, 142322, 146773, 148886, 156699, 131652, 132405, 139512, 142388, 145188, 151344, 156541, 132233, 135140, 139821, 144427, 144968, 150473, 156601, 128813, 132571, 140435, 143797, 145835, 149908, 153802, 128258, 128262 ]

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

[ 128259, 128000, 46714, 116543, 109982, 88787, 109710, 374, 37511, 841, 102349, 30333, 841, 409, 3399, 102632, 89, 118077, 81404, 41990, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 130329, 133103, 138847, 143525, 146864, 152208, 153326, 132193, 134513, 139549, 144547, 145748, 152723, 154670, 129813, 133077, 138272, 143056, 146600, 152212, 153437, 129045, 133495, 139242, 143713, 146813, 152635, 154173, 132146, 133735, 137878, 141865, 147731, 150434, 155799, 128634, 134496, 139815, 144147, 146295, 149773, 153057, 128652, 132427, 136826, 141578, 145177, 150738, 154880, 131188, 132895, 138126, 142477, 144686, 151284, 155990, 132253, 132726, 137037, 144335, 148449, 151504, 155560, 129735, 132874, 140273, 142882, 147525, 152157, 156662, 129070, 133713, 137023, 142622, 147865, 149195, 156769, 131447, 135097, 139179, 143800, 147914, 149524, 153841, 131104, 132865, 139570, 144004, 148580, 151388, 156620, 131667, 135811, 138016, 144585, 146900, 151423, 153070, 129286, 134951, 137141, 143135, 145695, 150750, 153192, 131397, 133407, 137817, 141403, 145646, 150167, 154491, 129552, 135197, 137772, 143966, 145854, 150030, 154174, 131039, 134285, 137760, 141003, 147583, 151424, 155315, 129045, 133146, 139242, 142836, 145434, 152635, 156626, 131345, 133612, 139912, 142173, 145757, 151267, 156459, 129116, 136344, 138895, 143631, 147646, 150105, 154652, 132232, 136136, 140474, 143321, 147016, 151568, 156328, 132098, 135958, 138187, 140820, 147955, 150833, 153995, 128634, 135197, 138855, 143226, 145854, 149999, 153389, 130641, 133601, 138855, 141446, 145687, 151160, 155411, 131705, 135665, 136773, 143135, 147298, 151978, 153048, 129667, 132683, 137589, 143766, 144996, 149953, 155133, 132193, 136288, 140342, 142260, 147767, 150166, 153113, 129738, 134153, 139220, 143567, 146813, 151330, 156573, 130410, 134552, 140356, 140771, 145104, 150353, 155055, 129924, 135577, 140159, 142362, 145695, 152494, 153911, 129045, 135414, 137999, 143857, 145080, 150016, 155314, 129288, 136025, 139289, 141701, 147008, 150180, 154254, 130598, 135539, 139813, 141316, 145082, 149149, 154345, 131880, 132488, 136548, 144496, 147499, 149567, 155936, 131534, 134069, 139293, 143572, 146678, 149949, 155600, 128343, 135053, 138037, 144212, 147445, 150091, 153380, 129667, 135522, 136694, 140735, 145677, 152782, 155210, 130039, 133125, 139622, 140730, 146710, 151128, 153973, 129116, 134433, 140400, 141860, 147791, 151054, 156116, 131543, 135626, 140526, 141320, 147166, 150287, 154383, 131625, 135229, 138977, 143316, 145349, 152827, 155069, 131543, 134398, 140315, 142513, 147730, 149945, 153952, 131188, 134712, 136589, 141857, 148342, 152278, 155709, 131543, 136362, 139147, 143147, 146936, 151888, 153954, 131961, 136362, 140386, 143502, 144775, 151818, 153397, 128893, 135164, 137374, 141322, 147727, 148906, 153745, 131397, 132728, 138805, 142280, 148453, 151528, 156265, 132193, 133101, 139106, 140694, 144778, 150949, 155542, 131014, 135893, 137899, 143876, 147435, 150260, 155070, 131397, 136044, 138916, 143977, 148333, 148855, 153397, 132106, 134384, 137991, 142754, 147665, 151936, 154611, 129708, 132826, 136533, 141354, 146879, 149167, 154715, 129446, 132866, 140484, 142963, 145923, 151698, 156496, 131223, 132711, 138788, 142012, 144804, 150262, 156535, 129368, 136247, 138529, 142740, 146477, 151757, 154254, 130094, 132711, 139937, 142662, 144679, 150132, 156321, 128868, 133446, 137286, 142880, 146386, 151650, 154697, 128258, 128262 ]

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

[ 128259, 128000, 60908, 103880, 102851, 108432, 119321, 10804, 1201, 69858, 6729, 117683, 1169, 74853, 34271, 9961, 5294, 103810, 72, 127892, 78587, 107304, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 142122, 147076, 150047, 154509, 131704, 132537, 137949, 143062, 147061, 148796, 154792, 130336, 135194, 139514, 144176, 145202, 150409, 152856, 130282, 134094, 136818, 142017, 145695, 148859, 153506, 128634, 134102, 139873, 142973, 148704, 150544, 155214, 131821, 136001, 140099, 142488, 146558, 150978, 154132, 128810, 136060, 138975, 141853, 145104, 150277, 156925, 129813, 133913, 138197, 144473, 148545, 150138, 155344, 129667, 133172, 139974, 142942, 146142, 151722, 156135, 128545, 133208, 139185, 142493, 145186, 150015, 155314, 132253, 134811, 138618, 143564, 148427, 150510, 156769, 130282, 134062, 137037, 142643, 148364, 151516, 156329, 129045, 135796, 137233, 142332, 146131, 151165, 152879, 130321, 136064, 139749, 143321, 148736, 151302, 156328, 131826, 134417, 139676, 141195, 147525, 150327, 153042, 131104, 134441, 137948, 141740, 145237, 151858, 156481, 129012, 135347, 138067, 144115, 145153, 149943, 154942, 129423, 136105, 137879, 143795, 148249, 148753, 156541, 129496, 134444, 139366, 144318, 148580, 150454, 155825, 129273, 136406, 139127, 142858, 148296, 149715, 153759, 129575, 134951, 138987, 141012, 147939, 149377, 155151, 128634, 132757, 136561, 140923, 144669, 149815, 154162, 132116, 133246, 140215, 140694, 147554, 148906, 154589, 129667, 133618, 139379, 143758, 146226, 150384, 155685, 129200, 132975, 137490, 143168, 147466, 148950, 154543, 129273, 135442, 138775, 144245, 145264, 152078, 154784, 128652, 136053, 138882, 140712, 146613, 150943, 154983, 132127, 132874, 137974, 143683, 148469, 152617, 154740, 128634, 133275, 140086, 141570, 145695, 149945, 156011, 131858, 134422, 139945, 140944, 145825, 151619, 154295, 131104, 135080, 137375, 141101, 147099, 150852, 153770, 128969, 132542, 136604, 142951, 147794, 152162, 155083, 132335, 136176, 136618, 142786, 147905, 152138, 155142, 129667, 135811, 138741, 144006, 147359, 151145, 153196, 131447, 134910, 136873, 140904, 147309, 148957, 155158, 128634, 136161, 139156, 144644, 146710, 151422, 153962, 129813, 133056, 140331, 143561, 146713, 152319, 156258, 131397, 136087, 138877, 143954, 148564, 152287, 153683, 129995, 132554, 137302, 141807, 146965, 149739, 154980, 131826, 132554, 139378, 141484, 148545, 149895, 152984, 128634, 133305, 138131, 142449, 146067, 148790, 156056, 130336, 136159, 139319, 142203, 146947, 150063, 155473, 128741, 133619, 139255, 143316, 144745, 150999, 156632, 131979, 132517, 138273, 143962, 145695, 150091, 155113, 129667, 135414, 139665, 140872, 146364, 150750, 154846, 130487, 134373, 138821, 142741, 146284, 149779, 153421, 129920, 135265, 140260, 142781, 147359, 151550, 153625, 128634, 133157, 138415, 141966, 147029, 151543, 153943, 129012, 134444, 136586, 141109, 147291, 149892, 154458, 131188, 135498, 138698, 140712, 148181, 150311, 156244, 129575, 132889, 138462, 143331, 144798, 151904, 153021, 131543, 133836, 140362, 142928, 145134, 151212, 156623, 131532, 133936, 140239, 143600, 146027, 151364, 155397, 131543, 135933, 137894, 142387, 147359, 149814, 155070, 131104, 134074, 137814, 141947, 148255, 149075, 155890, 130465, 133552, 138107, 142282, 147861, 149603, 155403, 130835, 135547, 137750, 142007, 145670, 152343, 153044, 130094, 133453, 138399, 143100, 145369, 150329, 156439, 131598, 135438, 140086, 142137, 148477, 150132, 153949, 132247, 134098, 140251, 142349, 147076, 150259, 154120, 128258, 128262 ]

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

[ 128259, 128000, 105812, 7792, 668, 594, 318, 85800, 79, 109131, 5509, 664, 3178, 13835, 3067, 342, 12635, 38511, 124711, 12082, 112017, 94382, 101020, 24705, 8093, 4355, 104265, 48497, 324, 105882, 15606, 101177, 668, 78075, 7370, 3209, 102548, 11884, 839, 318, 13, 128009, 128260, 128261, 128257, 131704, 133914, 136798, 143323, 144745, 150914, 154148, 129552, 135591, 137161, 143052, 147319, 151877, 154527, 129045, 135054, 138129, 141071, 145695, 149401, 154262, 131562, 132874, 139445, 143614, 145433, 152840, 153541, 129045, 134873, 137740, 142841, 148364, 149327, 153580, 128652, 135959, 137639, 144526, 148352, 151932, 156135, 131035, 136064, 138279, 144400, 146382, 152555, 154858, 129756, 135517, 140310, 142293, 147905, 149950, 154083, 128889, 132865, 137879, 143783, 144805, 148946, 154906, 131397, 132457, 139404, 140730, 148473, 151896, 155026, 131543, 135537, 137398, 142133, 148381, 152603, 154710, 128741, 132717, 138489, 142648, 148276, 149602, 155760, 131133, 132620, 140329, 142538, 145729, 151086, 154123, 128634, 135061, 139587, 142720, 146504, 150537, 156500, 131543, 136436, 138941, 143800, 147029, 151574, 154302, 128741, 133555, 136819, 143168, 144819, 151546, 155439, 130247, 133780, 136961, 142132, 147969, 149066, 153826, 128956, 133036, 139600, 144084, 144961, 149524, 155085, 130012, 134528, 138931, 143970, 148368, 150149, 155981, 130598, 133069, 137157, 144093, 146409, 149841, 153071, 131532, 132391, 137842, 140888, 146535, 150269, 155045, 128634, 135346, 138904, 142760, 146067, 149478, 156760, 128484, 135442, 138639, 143957, 147433, 150926, 155145, 129575, 132376, 137003, 142213, 144996, 148860, 153631, 131713, 134869, 139511, 140571, 145620, 148967, 155865, 128652, 135959, 137039, 142743, 145115, 151790, 152875, 131619, 134160, 138595, 143445, 144972, 150556, 155158, 130321, 134608, 137449, 141940, 147115, 152840, 156277, 129045, 134076, 137019, 141583, 148084, 152662, 153652, 130124, 135621, 138729, 142854, 145907, 152713, 154502, 129045, 132369, 137250, 143428, 145434, 148860, 156173, 131039, 132967, 137611, 143643, 146263, 151954, 156478, 129045, 133343, 137086, 142954, 145740, 152424, 154711, 130124, 134467, 137539, 142201, 147189, 149840, 156900, 129552, 132579, 138350, 141027, 145695, 151906, 156917, 128634, 135197, 140409, 141115, 147456, 149564, 155284, 129045, 132376, 140112, 143023, 147730, 152628, 153812, 132106, 135003, 139008, 141706, 146448, 151235, 156140, 129736, 132890, 138414, 141648, 147759, 150771, 153858, 128557, 134951, 137858, 144046, 147166, 150645, 154095, 129924, 132542, 136630, 142927, 147252, 152447, 156827, 131397, 135833, 138347, 141889, 146544, 152787, 154922, 128557, 136161, 139829, 141774, 148084, 152238, 155239, 128741, 132619, 140023, 142079, 148562, 151159, 156469, 128557, 134633, 138522, 144139, 147925, 149109, 156745, 129273, 134961, 138181, 141752, 144919, 151656, 153991, 131397, 136165, 140168, 143966, 145756, 151929, 154787, 131543, 136057, 138859, 141106, 145134, 149080, 155046, 128779, 132816, 138662, 143643, 145168, 149900, 154905, 128956, 136369, 139645, 142735, 145743, 150383, 156619, 131397, 135946, 136646, 143964, 147029, 151941, 156210, 132193, 135435, 139010, 144341, 145727, 152253, 153002, 131397, 134668, 138343, 143145, 146105, 151816, 154587, 129286, 135010, 136541, 141216, 145153, 151377, 156322, 132106, 132865, 138808, 142986, 144788, 149883, 154095, 132103, 135809, 138879, 140955, 147261, 150610, 154388, 131652, 135535, 137497, 144576, 144752, 149747, 155265, 131223, 133061, 139293, 143648, 146843, 150422, 154979, 130255, 132474, 139980, 143643, 146428, 149781, 155820, 128914, 132687, 139777, 141665, 147777, 151137, 153638, 128969, 132457, 138072, 140600, 148364, 150947, 155817, 129045, 136403, 140356, 141263, 145805, 152164, 153057, 128343, 135546, 139244, 142130, 146340, 150464, 154111, 128555, 135185, 136564, 144227, 147730, 149785, 156568, 129048, 132895, 137764, 143673, 146709, 152361, 153296, 128578, 132470, 139014, 144040, 145047, 152574, 153532, 132146, 135809, 139151, 142516, 148364, 149417, 156741, 129116, 134142, 137999, 144085, 148152, 151619, 155033, 131104, 136001, 138350, 143316, 148580, 152018, 153761, 128634, 133424, 137158, 143263, 146128, 150339, 155353, 131532, 133441, 138892, 141322, 144787, 151837, 156328, 129116, 136161, 140312, 142291, 147311, 152489, 153691, 131530, 135156, 139592, 140989, 145419, 150382, 154139, 129667, 132855, 139213, 143371, 145527, 149392, 153761, 131188, 134878, 137546, 144581, 145460, 149869, 156000, 129185, 132605, 136496, 143025, 144830, 149530, 153067, 129552, 135010, 138405, 141053, 148313, 152552, 154216, 131397, 136019, 136709, 144539, 144803, 150316, 154328, 128945, 136270, 139748, 141867, 144839, 151324, 153764, 128354, 132718, 138229, 142133, 144745, 149858, 154612, 129243, 133359, 136547, 141329, 146263, 152831, 153068, 132028, 133240, 136491, 142260, 147019, 149521, 154228, 130255, 135520, 139411, 142631, 145377, 152225, 156391, 132247, 133191, 137899, 142290, 144721, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 7911, 3067, 342, 12635, 38511, 124711, 12082, 112017, 94382, 101020, 24705, 8093, 4355, 104265, 48497, 324, 105882, 15606, 101177, 668, 78075, 7370, 1634, 483, 11884, 839, 318, 13, 128009, 128260, 128261, 128257, 128983, 135924, 139283, 141437, 146335, 150776, 155469, 131269, 133994, 137017, 142682, 148359, 150669, 153894, 132318, 135862, 138125, 141133, 144752, 152225, 152852, 130185, 136166, 137899, 141723, 147665, 150522, 154435, 129045, 136076, 139874, 143415, 146813, 149991, 156539, 131188, 135214, 137979, 144067, 147189, 152389, 154782, 128634, 135346, 138233, 141621, 146438, 149499, 156597, 129718, 135071, 139291, 143167, 146320, 149182, 153291, 132193, 135474, 136951, 142690, 146216, 148826, 155891, 129575, 134811, 139866, 143015, 146540, 151578, 155626, 129045, 135921, 140521, 143426, 147730, 150659, 154668, 129718, 134306, 137513, 143572, 147794, 149877, 156225, 130124, 134951, 140291, 143430, 145476, 151250, 152970, 130223, 134727, 139393, 141860, 147502, 151219, 153199, 129552, 135864, 136501, 141223, 148152, 149376, 153651, 131188, 136207, 137387, 142534, 146813, 149833, 153124, 129575, 135442, 138890, 143031, 147457, 150866, 154103, 128850, 133460, 136503, 143666, 147761, 150393, 153792, 129738, 134536, 139262, 144517, 148637, 148829, 155335, 129924, 134444, 139789, 141728, 145595, 149195, 156000, 131543, 133238, 137226, 143605, 148561, 150587, 155511, 131397, 134848, 138960, 141537, 148152, 149477, 156527, 128557, 134951, 140297, 142889, 145687, 151766, 153892, 132240, 134633, 136824, 142192, 146993, 149390, 155960, 128557, 133460, 139576, 141792, 145237, 150192, 154153, 130807, 132398, 139685, 141568, 146176, 152269, 154359, 131397, 133399, 136658, 141537, 148152, 151657, 156527, 128578, 132725, 139410, 141003, 147315, 152757, 154232, 131543, 134612, 138093, 144146, 146438, 152373, 155806, 131397, 133433, 139870, 142654, 144745, 149477, 156862, 131530, 135683, 137577, 141439, 146868, 148906, 153727, 132193, 134989, 138662, 144161, 146105, 151734, 154402, 131397, 132890, 140143, 140610, 147791, 152310, 153858, 130124, 135564, 136988, 143542, 147751, 151145, 156681, 131858, 135864, 138542, 142942, 148713, 150488, 154318, 131283, 134580, 138822, 141120, 146335, 149143, 153003, 130334, 133766, 137989, 142810, 147259, 150240, 152997, 132185, 134205, 138519, 142756, 147707, 150017, 155942, 129092, 132620, 137713, 141259, 146678, 152122, 153882, 128634, 132787, 139128, 141130, 145695, 149432, 154148, 129045, 134276, 139107, 141691, 145183, 149112, 154878, 128627, 135298, 138685, 142533, 145379, 152168, 154491, 128560, 132996, 138589, 140862, 145220, 150348, 154935, 129718, 135665, 136523, 141953, 144657, 149813, 154504, 131039, 132923, 137519, 144040, 148440, 152739, 154134, 131447, 135421, 136792, 142832, 146426, 150362, 154804, 128634, 136064, 139602, 142516, 147414, 150166, 154976, 131104, 134276, 138450, 140557, 146010, 149144, 154083, 131397, 135884, 139845, 144635, 145279, 150304, 154009, 131532, 134094, 139965, 140989, 146512, 151871, 153715, 132146, 133695, 140443, 143699, 147166, 150163, 153086, 129718, 133197, 139600, 144580, 147554, 152776, 154858, 132116, 135196, 140060, 143701, 146811, 151953, 152870, 128652, 135023, 139826, 142662, 147435, 152261, 155275, 130829, 132822, 138233, 140718, 146281, 152261, 154609, 128741, 135010, 137641, 144445, 147298, 149792, 153941, 129667, 136372, 139660, 142193, 148694, 151904, 156743, 131409, 133033, 139426, 143952, 147979, 151192, 154243, 129045, 132628, 140443, 143440, 148360, 150809, 154194, 130465, 135499, 137493, 142521, 147622, 151549, 153226, 130257, 134357, 139023, 142978, 144949, 151894, 153350, 131223, 135891, 139622, 143894, 147283, 152135, 155293, 131269, 134922, 139453, 140938, 147295, 152718, 153251, 128258, 128262 ]

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

[ 128259, 128000, 32, 2453, 48980, 101210, 74778, 3862, 16017, 41990, 1989, 105279, 17930, 11, 105544, 114210, 101294, 115391, 7792, 103032, 62594, 103328, 1280, 1609, 103143, 11, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154143, 128817, 133103, 139239, 142286, 146765, 148796, 156349, 129738, 134536, 136581, 140670, 147122, 149982, 153505, 129496, 132691, 137986, 141073, 147332, 150925, 155095, 131397, 135747, 139528, 142467, 146942, 152566, 156377, 128543, 134460, 139790, 141899, 145143, 152176, 155677, 129045, 132949, 140398, 140565, 146894, 150777, 155384, 130893, 132605, 139929, 142419, 145867, 152138, 155914, 128969, 132525, 140537, 141063, 147939, 149773, 154970, 131397, 132684, 139300, 144125, 147635, 151418, 154799, 130598, 133755, 136521, 142863, 144937, 151365, 155922, 131188, 135208, 136757, 143737, 145178, 152316, 153632, 129045, 135864, 140507, 140980, 144657, 151620, 156042, 131200, 134087, 138113, 141685, 148146, 151806, 156030, 129667, 135239, 138181, 140554, 146051, 152508, 155734, 129012, 135946, 137603, 143719, 146171, 151220, 155151, 130096, 133518, 140432, 144527, 145870, 149494, 155772, 128945, 132369, 137548, 142905, 147210, 149296, 156505, 131823, 135106, 137958, 140776, 144787, 151528, 156543, 131543, 134276, 138486, 144169, 148352, 149335, 152973, 131397, 135796, 139507, 140761, 146840, 151896, 156607, 129012, 135946, 138232, 140999, 146395, 150402, 155997, 130763, 136181, 138169, 142809, 145924, 148940, 153069, 131880, 136235, 138127, 143831, 147854, 152718, 155632, 131223, 133891, 139349, 142163, 146064, 150131, 155123, 131104, 133505, 137052, 142670, 144805, 150572, 155184, 131397, 135864, 138102, 141795, 147792, 148850, 155699, 129045, 135864, 136918, 143787, 145178, 150653, 152853, 129667, 134339, 138027, 141606, 145075, 149897, 153971, 128741, 135873, 137157, 142789, 148327, 152275, 154606, 131397, 134848, 137967, 141925, 145344, 149112, 154808, 128652, 133932, 136476, 141798, 147391, 151892, 154006, 129813, 134288, 139071, 142092, 147359, 149709, 156406, 131397, 132457, 138411, 143783, 147359, 151028, 153858, 131104, 134848, 139528, 141071, 147304, 149268, 154254, 132103, 134779, 138362, 141133, 147292, 152604, 155971, 128634, 135843, 140385, 142827, 148352, 151245, 155879, 128652, 135274, 137103, 143346, 146338, 151873, 155830, 129667, 133923, 140478, 141285, 146540, 151254, 152983, 131188, 135221, 138452, 144324, 148509, 150634, 156152, 131543, 136061, 137167, 142719, 148396, 149514, 154077, 131014, 133555, 138493, 141241, 147391, 152290, 156445, 131222, 134821, 137839, 142212, 146798, 150477, 156213, 131014, 133486, 140195, 143614, 148350, 151898, 156899, 129286, 136370, 136658, 144478, 145687, 152207, 153599, 131397, 136216, 139279, 144016, 147573, 149067, 154223, 130124, 135922, 138933, 141440, 146746, 151554, 156353, 131188, 134825, 137224, 142822, 146145, 148919, 153766, 128634, 136179, 138818, 141953, 144662, 150810, 155335, 128956, 134573, 137268, 140654, 145551, 152326, 156046, 129185, 132389, 140190, 140679, 144808, 150222, 154107, 128652, 132895, 139354, 144576, 147823, 150166, 153346, 130079, 136344, 136844, 140851, 145228, 150946, 153282, 128634, 133455, 140126, 141496, 144792, 149801, 155738, 130124, 133125, 137103, 142916, 148352, 149583, 153487, 129490, 136136, 137241, 142467, 146108, 150065, 156621, 128868, 133766, 138340, 141310, 147076, 151488, 154120, 128258, 128262 ]

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

[ 128259, 128000, 56815, 5320, 2766, 5861, 450, 15606, 305, 79691, 16461, 98659, 106569, 102024, 259, 1354, 301, 5320, 119114, 9697, 3721, 1466, 258, 102934, 103226, 77, 112805, 597, 22026, 92833, 112254, 276, 15606, 122061, 7907, 841, 7370, 301, 408, 2923, 19494, 78587, 105624, 109128, 26663, 93687, 38511, 46963, 28726, 62594, 121778, 15606, 102265, 459, 126418, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 148901, 155200, 128435, 133716, 137556, 143147, 144851, 149920, 155046, 130589, 136344, 138315, 144568, 145871, 152624, 154652, 129116, 133472, 137748, 142863, 145825, 151783, 154388, 130096, 135816, 139549, 141439, 145593, 151413, 155315, 129045, 135166, 138972, 140814, 147914, 149535, 153391, 128627, 133653, 139532, 144445, 148267, 149968, 154418, 128634, 134031, 138910, 143370, 144759, 151042, 154254, 131421, 136114, 139502, 144364, 146394, 152603, 153291, 131104, 135442, 139438, 141346, 144657, 149092, 155517, 131035, 132651, 138481, 141369, 146382, 149159, 153702, 130321, 133570, 138190, 141272, 147490, 150816, 154159, 129045, 135307, 136605, 140609, 148045, 152277, 153075, 131644, 135599, 137277, 141775, 146789, 148786, 154270, 128634, 133333, 138691, 144305, 148152, 150311, 153886, 131543, 136136, 138919, 142277, 148122, 150134, 154826, 129045, 132369, 136916, 141487, 145408, 152609, 156646, 128634, 132880, 139415, 142016, 148084, 150854, 155443, 131397, 132684, 138786, 143624, 148152, 151014, 155411, 128634, 134149, 137267, 143649, 148194, 151501, 153656, 131397, 136064, 139306, 142905, 147414, 152074, 154454, 128634, 132890, 137999, 140923, 145445, 148779, 156686, 129286, 132457, 137477, 141793, 147646, 152446, 156531, 129667, 133460, 140251, 142635, 144942, 151620, 155716, 131397, 132457, 139133, 143229, 148449, 148829, 156657, 128634, 134848, 136638, 141899, 146811, 152488, 153025, 128652, 135843, 139156, 143122, 148485, 151246, 154229, 131397, 136064, 140485, 143601, 147136, 152212, 154100, 131625, 134628, 137039, 143883, 146879, 151680, 156000, 131652, 132868, 138107, 142203, 146164, 151798, 156638, 130410, 135443, 138724, 141451, 146701, 149283, 152970, 131104, 132965, 139194, 141330, 144759, 151464, 155849, 130124, 135665, 136539, 143574, 147501, 151978, 155458, 131035, 135439, 136563, 141414, 146636, 150762, 154692, 132193, 132859, 136907, 144153, 146713, 152585, 156726, 131397, 133856, 139221, 142799, 145981, 150887, 153660, 131442, 133703, 139257, 144552, 148447, 150214, 156450, 129288, 133237, 139264, 141974, 147788, 152154, 153218, 131397, 136292, 137775, 141048, 145612, 150337, 154173, 128915, 134138, 138352, 142152, 148350, 151780, 155086, 131998, 135858, 140238, 142108, 147302, 150823, 154853, 128634, 132890, 136764, 140739, 148372, 152438, 153910, 131421, 135334, 138659, 143648, 147009, 150180, 153291, 129981, 134576, 138190, 143080, 145649, 150554, 155141, 129106, 133004, 138711, 144245, 145913, 152530, 154694, 130124, 136320, 137716, 141766, 146145, 150344, 153081, 131397, 132864, 140380, 142233, 148424, 151594, 155636, 128634, 136064, 140405, 143445, 147635, 150408, 155777, 131188, 136092, 139575, 144162, 145823, 151883, 155996, 129589, 132504, 138195, 143713, 147093, 152578, 153812, 129813, 135071, 137441, 141576, 146901, 150374, 153939, 129667, 132457, 137803, 142501, 146105, 152198, 155517, 128956, 134849, 140425, 142135, 146068, 149161, 155307, 130096, 133415, 138026, 142542, 145523, 149742, 155794, 129981, 136213, 140087, 142130, 145796, 149434, 154819, 132265, 133188, 139942, 144205, 147868, 149729, 156428, 131397, 133517, 140504, 142807, 146526, 151143, 153899, 130039, 133125, 136811, 142406, 147485, 151896, 154012, 132116, 134649, 139694, 140714, 145188, 151703, 153228, 129667, 133552, 138629, 142214, 144860, 152229, 155210, 130039, 133125, 137879, 143508, 147359, 149708, 155650, 129718, 132890, 138977, 144634, 145646, 152836, 156290, 130147, 134138, 139115, 142381, 147749, 151699, 154018, 129589, 132504, 138644, 142072, 146281, 149961, 156793, 131188, 135626, 136520, 141419, 147166, 150332, 155693, 131543, 133148, 139044, 143883, 148514, 151864, 152918, 129496, 134349, 139186, 142538, 147261, 148796, 152920, 128557, 132835, 139088, 144181, 148414, 151199, 156487, 131397, 133407, 139255, 143292, 145695, 151360, 154065, 129552, 133558, 140527, 142984, 147117, 150976, 154063, 128520, 133042, 136541, 140793, 147047, 150246, 154478, 131543, 134241, 139549, 144183, 148449, 149379, 155170, 131188, 134525, 137720, 143421, 147397, 150051, 155570, 130410, 135441, 140384, 140914, 147499, 151021, 153516, 131778, 136023, 138252, 144378, 145123, 151011, 154636, 131104, 133952, 139730, 140611, 145545, 149693, 153962, 131619, 134572, 136998, 144116, 144808, 152157, 155662, 128652, 135665, 138352, 143203, 145080, 148753, 154922, 129718, 132481, 139871, 141878, 145143, 150663, 155933, 131035, 134565, 136808, 141835, 145190, 149455, 153418, 128652, 134160, 139309, 144622, 148152, 151206, 153066, 129572, 132994, 138450, 140944, 146188, 149253, 154611, 131104, 132683, 140055, 141089, 147461, 151543, 153357, 128634, 132865, 138758, 140685, 146430, 151517, 156922, 131821, 133185, 138719, 142505, 146623, 152579, 156251, 130998, 135017, 136653, 142589, 148731, 151571, 156672, 128868, 135280, 136887, 142359, 147259, 151194, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 136613, 142086, 144721, 149106, 153716, 131104, 134137, 137808, 140975, 145250, 149047, 153095, 128634, 135473, 139834, 142843, 145413, 151247, 156532, 131447, 136454, 136907, 142160, 146540, 151183, 156814, 132193, 132975, 139245, 142785, 147588, 151260, 153784, 131826, 134444, 139100, 140792, 145434, 149004, 155219, 128652, 132369, 139647, 144505, 146874, 150418, 156707, 128634, 132718, 137331, 142448, 147730, 151790, 156789, 129667, 133851, 140144, 142776, 148099, 150388, 153573, 131104, 134586, 137555, 141732, 144972, 151795, 153874, 129116, 134848, 136584, 144246, 145434, 151975, 155768, 129813, 136288, 136728, 143346, 144970, 149191, 153170, 130321, 134963, 138761, 144255, 146852, 151482, 154640, 132106, 132889, 137716, 143424, 147665, 150802, 153797, 129718, 132369, 137873, 144352, 145413, 151713, 154692, 132098, 133936, 137733, 144077, 145854, 151762, 155443, 131397, 132890, 136906, 142650, 148084, 151613, 155613, 130039, 135199, 139898, 143961, 146824, 152624, 155352, 128634, 134653, 137644, 141742, 147136, 151855, 153377, 128889, 132651, 137831, 142227, 148223, 149636, 155185, 130462, 135861, 139820, 141824, 147225, 152837, 153851, 130745, 135806, 140087, 142018, 145284, 152247, 156144, 131397, 132706, 138549, 142706, 147792, 151377, 154028, 129286, 134633, 138500, 140731, 145114, 149369, 154263, 130124, 135785, 139129, 142620, 148657, 150250, 155413, 130223, 135442, 138692, 142788, 148675, 152051, 156147, 129813, 135148, 140212, 141962, 147436, 152571, 156681, 129718, 135974, 138639, 144629, 147730, 152310, 156810, 128413, 135665, 138559, 144353, 147854, 149871, 154825, 132185, 134117, 136855, 144384, 145964, 149175, 156291, 130334, 134971, 138026, 140709, 146386, 152168, 156264, 131529, 134788, 139880, 141855, 148490, 150313, 153098, 128969, 133036, 139094, 142333, 148580, 151896, 156044, 129718, 133505, 137899, 141162, 146197, 150993, 153992, 130147, 134944, 140034, 143897, 145153, 149911, 155395, 131104, 132865, 139091, 143050, 144704, 150179, 154388, 130670, 136266, 139000, 143172, 146664, 152810, 154223, 132103, 135185, 139103, 142441, 148192, 150131, 154294, 131858, 133555, 140080, 140803, 145517, 151109, 156254, 129200, 133388, 137765, 142934, 144739, 152709, 153254, 130465, 133189, 138955, 141169, 147239, 152205, 155549, 130124, 136076, 136820, 144533, 147646, 151314, 156327, 128634, 134932, 137698, 142843, 148585, 152810, 156793, 128969, 133738, 136700, 143498, 145551, 149785, 152882, 130124, 134160, 138027, 141974, 148208, 150242, 153364, 131039, 134468, 137880, 142170, 148431, 150986, 154650, 128634, 133526, 137619, 141494, 147749, 150013, 153879, 129935, 133506, 137661, 141480, 146952, 150611, 154282, 130223, 135904, 139126, 143351, 148424, 150326, 153928, 131543, 135026, 138774, 140844, 147730, 152764, 156157, 129735, 136039, 136574, 141272, 146370, 149387, 153688, 131397, 135147, 136583, 143580, 148231, 149620, 156357, 129045, 132495, 138990, 143449, 145649, 152552, 153445, 131543, 132613, 137876, 142531, 145047, 152483, 156010, 131104, 132934, 137787, 142545, 146772, 150594, 156621, 131409, 133566, 136897, 143829, 146678, 150131, 154295, 130178, 134346, 139955, 144090, 148667, 150284, 154600, 131044, 134052, 137412, 142672, 147835, 151407, 154846, 129243, 134457, 138228, 143835, 146138, 150187, 154512, 128868, 133191, 140385, 144573, 146386, 151343, 154697, 128258, 128262 ]

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

[ 128259, 128000, 32, 7370, 30333, 16507, 3721, 65544, 31469, 408, 125704, 1048, 102265, 109148, 77211, 2668, 72, 106005, 52465, 47879, 80445, 459, 3862, 1026, 352, 123361, 71862, 105544, 4355, 67565, 372, 84240, 101917, 103838, 98410, 103611, 117405, 48497, 93687, 101492, 13835, 3067, 112247, 101250, 3903, 108487, 106728, 16507, 11, 117405, 7370, 96548, 94382, 93385, 106033, 15606, 120982, 74043, 65, 104070, 11257, 25877, 8528, 76, 110754, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 154887, 132199, 132762, 137197, 140564, 145355, 149662, 156409, 129496, 136234, 140142, 141177, 147117, 152709, 154749, 131328, 133693, 138705, 144629, 148742, 151715, 155989, 131039, 134857, 140217, 144356, 144657, 151795, 154804, 128439, 135370, 139781, 142685, 145263, 148980, 155054, 131397, 132457, 140266, 141156, 146438, 152511, 155814, 128634, 135796, 138726, 141678, 144664, 151702, 153746, 131397, 133403, 137245, 144576, 146956, 152768, 153866, 128634, 133360, 136589, 141887, 146692, 151421, 156562, 129813, 132865, 140426, 143474, 148580, 149762, 156236, 129012, 135126, 139133, 140594, 145434, 149255, 153879, 131543, 134546, 137163, 141606, 147279, 148758, 156047, 129667, 135071, 137644, 143007, 148545, 152716, 156378, 128634, 134940, 138665, 141598, 148513, 150913, 156510, 130321, 132458, 137176, 141858, 147310, 151837, 154139, 128969, 134160, 139585, 140561, 148152, 150513, 155526, 128634, 133078, 136967, 141097, 148437, 148893, 153529, 128956, 134811, 139318, 143155, 147634, 150238, 154451, 131571, 135427, 139026, 140718, 145151, 150366, 153079, 131039, 134605, 137258, 141376, 146224, 150816, 153000, 129116, 136161, 139296, 143808, 147525, 149883, 154365, 128969, 133968, 138000, 142908, 148657, 152515, 153516, 130124, 133407, 139671, 141083, 148088, 151268, 153715, 131543, 134878, 140109, 143671, 147914, 149417, 155996, 128634, 133993, 137926, 142788, 145434, 149527, 154643, 129496, 134525, 140273, 141215, 145687, 151074, 156607, 131397, 135311, 136856, 141651, 145516, 151793, 154793, 130124, 133399, 140426, 144344, 146663, 152063, 153184, 131035, 133959, 136604, 143106, 147291, 150524, 154454, 129116, 135864, 139688, 143885, 144657, 151582, 156370, 131039, 135926, 139001, 140990, 146801, 151837, 155166, 131188, 136161, 137623, 140764, 146281, 152629, 153034, 131114, 134590, 138557, 141523, 147950, 148871, 153259, 128969, 132889, 138726, 144340, 148152, 151955, 153867, 131104, 136362, 139866, 143397, 147791, 149241, 154083, 132116, 134948, 139565, 141113, 148356, 150456, 154478, 132193, 133245, 136618, 144553, 147762, 149060, 153722, 131543, 134712, 138310, 142299, 146364, 150491, 154958, 130079, 133519, 138875, 141871, 147631, 150591, 156918, 130223, 135665, 137789, 142256, 145846, 149540, 153722, 129813, 133468, 140055, 141482, 145413, 150280, 155110, 132098, 135807, 138443, 141058, 145006, 150841, 153391, 131826, 134270, 138189, 143575, 147214, 151917, 154509, 131543, 133849, 137226, 143074, 147730, 149553, 155003, 131397, 136161, 136589, 144603, 146438, 151248, 153357, 131035, 136097, 139022, 143411, 148555, 151862, 155933, 128969, 133941, 138528, 140671, 146448, 148898, 154579, 128555, 133033, 136808, 141942, 145413, 149430, 156405, 131447, 132745, 138190, 142770, 146564, 152374, 153298, 132201, 136161, 137557, 142538, 147613, 151794, 156723, 131543, 133399, 139484, 141463, 146594, 151000, 155810, 130465, 136329, 137984, 141880, 145096, 149698, 155355, 130552, 134110, 139234, 142900, 146633, 149662, 156672, 130334, 132433, 136887, 141453, 147259, 150314, 152997, 132151, 134098, 138933, 142086, 145915, 149563, 154509, 130244, 133971, 137821, 140781, 145822, 152265, 155531, 128545, 133790, 139128, 141537, 146134, 152061, 154632, 129736, 133938, 139042, 144522, 146314, 152008, 154128, 130412, 136234, 140315, 141691, 148327, 149987, 154948, 129813, 132724, 138554, 141254, 147332, 152238, 155724, 130336, 135358, 138538, 142135, 146600, 151666, 155613, 128893, 132671, 140248, 143196, 148327, 150536, 155210, 131397, 134168, 138888, 141886, 146886, 149368, 153042, 130124, 132502, 140412, 143513, 148724, 150120, 153047, 131397, 134612, 139339, 143567, 146438, 152477, 153920, 132193, 133646, 139690, 142286, 148504, 151307, 156891, 131397, 133077, 138189, 143251, 146010, 150060, 153208, 131961, 133043, 138276, 143928, 147564, 152725, 153473, 131397, 133952, 138354, 140779, 145756, 150703, 154660, 131543, 134150, 139883, 141602, 147751, 150319, 156253, 131035, 134813, 139963, 144255, 147426, 150209, 155713, 128969, 135568, 138301, 140710, 146923, 150136, 155131, 130124, 135864, 138607, 141285, 148209, 149600, 156797, 131397, 136257, 138514, 142439, 147099, 150854, 154262, 128945, 135442, 139481, 141443, 146971, 148783, 153881, 132146, 133262, 137727, 142177, 144657, 148894, 154652, 131188, 135904, 139906, 144457, 145183, 149949, 156658, 128634, 134325, 137497, 140730, 147616, 152077, 155551, 128437, 134087, 138598, 143623, 148528, 152101, 156535, 131397, 136085, 137384, 144520, 145929, 151579, 154819, 129813, 134948, 138365, 141306, 146034, 152091, 156242, 128741, 132954, 137508, 143387, 146921, 150397, 156500, 131188, 134951, 139510, 141760, 146364, 151970, 154096, 131039, 132600, 138322, 143970, 145523, 151282, 155368, 130321, 136152, 139076, 141244, 146589, 152282, 156096, 130223, 135904, 136992, 143414, 148152, 151260, 155892, 131104, 135257, 139067, 141195, 148147, 150488, 155228, 131397, 134386, 138405, 140952, 145748, 150842, 156805, 131035, 133460, 140462, 142142, 147041, 152253, 153071, 130998, 132603, 140239, 144142, 145391, 152576, 156819, 130334, 132788, 137972, 144205, 146386, 152168, 156264, 128448, 134474, 137374, 140574, 148673, 151857, 156191, 129045, 135168, 137747, 140763, 148328, 149108, 153632, 129575, 134187, 137856, 141995, 148449, 152012, 155554, 129045, 134076, 136963, 142058, 147000, 151007, 153897, 131543, 134525, 139326, 143917, 144986, 150252, 154821, 128945, 132774, 140502, 140802, 148366, 148955, 154078, 128634, 133407, 137993, 143716, 147150, 150712, 155512, 129813, 134077, 140433, 142604, 145442, 152561, 155145, 128969, 134299, 138310, 144644, 147485, 151619, 154201, 131397, 132865, 138299, 143603, 145153, 151597, 154029, 131826, 133779, 138855, 143601, 147435, 151700, 156676, 129045, 133146, 138800, 144286, 148706, 151838, 152965, 131931, 135551, 137605, 143309, 148200, 150235, 154801, 128969, 132889, 136468, 141795, 147414, 151780, 154976, 131447, 134627, 137632, 141523, 145687, 151467, 156029, 129045, 134951, 139159, 141156, 147431, 150992, 156398, 129718, 135904, 138211, 144389, 146653, 150696, 153058, 129813, 135124, 137787, 140569, 147519, 151941, 156891, 131397, 133460, 139653, 144024, 145748, 151906, 154744, 129045, 134598, 138060, 144083, 148084, 151643, 153992, 129286, 132895, 138156, 141434, 145551, 149418, 156245, 131397, 136161, 139027, 142923, 146105, 151567, 152900, 129667, 132663, 139925, 142196, 146772, 152670, 155076, 132185, 134851, 138677, 144384, 147181, 150569, 156502, 130334, 132788, 137972, 140564, 146386, 152168, 156264, 128813, 133345, 138967, 141006, 147921, 149074, 156682, 132042, 132965, 140397, 142318, 145237, 151848, 155825, 129667, 133953, 139366, 142891, 144763, 149451, 155994, 129738, 134990, 139585, 140960, 148562, 150252, 155560, 131039, 135320, 139138, 140797, 148669, 150209, 155927, 129045, 134457, 139041, 143522, 148192, 152282, 154777, 131188, 135214, 140452, 141461, 146505, 148982, 154281, 130124, 134811, 137132, 141344, 148449, 152292, 155091, 131397, 132890, 139059, 142803, 146259, 150196, 156473, 129496, 133460, 136790, 140886, 146886, 152411, 155620, 129200, 135439, 138567, 143080, 146209, 149631, 156129, 129496, 134951, 138746, 144127, 145748, 151114, 155346, 131543, 134525, 140291, 143965, 146654, 152451, 156624, 129297, 132613, 137583, 141041, 145647, 152840, 155435, 131543, 134314, 138665, 142274, 148192, 150025, 155517, 131397, 132890, 140248, 141648, 144992, 151312, 155145, 132103, 133551, 139506, 143702, 147581, 149649, 154951, 128634, 134160, 138415, 143203, 146234, 151197, 155049, 130550, 133677, 140124, 142631, 147210, 150381, 153008, 132146, 136136, 139628, 143222, 146755, 150942, 153228, 128969, 135112, 137148, 142293, 147624, 151224, 156521, 129045, 132908, 137996, 143844, 145373, 152118, 153189, 131104, 135859, 139412, 143281, 146692, 149521, 154834, 131188, 135442, 137039, 143812, 147590, 151152, 155818, 131104, 132886, 138027, 140564, 145756, 150280, 153150, 128634, 136037, 137964, 144408, 144869, 152801, 153770, 132146, 134150, 139834, 144601, 145906, 152340, 156076, 131447, 135060, 137291, 143463, 145612, 151148, 153822, 130641, 134848, 139126, 143185, 147298, 148893, 156677, 128889, 133468, 139169, 140922, 147525, 151314, 155369, 132193, 136094, 136652, 143619, 147633, 149201, 155799, 129286, 134076, 138800, 142361, 147613, 151842, 156197, 131397, 135927, 137964, 143438, 147763, 150408, 153464, 130847, 133099, 138437, 144567, 148473, 151904, 156265, 131961, 132706, 140431, 142897, 146861, 150325, 156507, 131103, 135675, 140369, 142043, 145068, 151611, 156226, 128354, 135199, 139734, 143025, 146728, 152471, 155065, 130465, 132480, 136531, 142108, 145670, 149909, 154134, 131952, 135552, 140550, 143232, 146800, 151550, 153038, 132028, 133465, 136935, 143401, 148381, 152638, 156753, 130929, 135193, 139438, 142324, 147026, 152723, 153283, 128258, 128262 ]

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

[ 128259, 128000, 19182, 762, 115771, 5320, 4538, 112023, 122448, 1759, 5308, 102847, 2807, 3457, 15606, 10728, 109801, 11, 597, 40957, 5297, 2641, 2448, 125492, 4937, 112667, 1077, 115692, 121952, 5641, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 132318, 135252, 137418, 141719, 145834, 150168, 152852, 128813, 132987, 136468, 140715, 145348, 148907, 154409, 129116, 134200, 140240, 144061, 148313, 152205, 155340, 128634, 132897, 139144, 142931, 147567, 149783, 152963, 129735, 134476, 139610, 141103, 145123, 150020, 156173, 129423, 133399, 137250, 144344, 145237, 150932, 153825, 128634, 136329, 139641, 144118, 145545, 148860, 156245, 131397, 134805, 139852, 141297, 148099, 151933, 154587, 131543, 133641, 138151, 140946, 146990, 150925, 156381, 129045, 133645, 139861, 142889, 148615, 152107, 156072, 130311, 134944, 139507, 142852, 145153, 150292, 155675, 131826, 132684, 137636, 141320, 144972, 150337, 152910, 128634, 134552, 136990, 142597, 145910, 152365, 155570, 131035, 135116, 137783, 144244, 147145, 151009, 156806, 132193, 135116, 140012, 140776, 144763, 148761, 155944, 129080, 134299, 139969, 142408, 146733, 149144, 154128, 129552, 136317, 139682, 140651, 148035, 151248, 154126, 129045, 135842, 138365, 141074, 147930, 152325, 156585, 131397, 134677, 136987, 141450, 144726, 152231, 155078, 129644, 135048, 139272, 143607, 148364, 149551, 155898, 131826, 133232, 139676, 143223, 148117, 151885, 156666, 131222, 133228, 136795, 144289, 146627, 151491, 155601, 129080, 133483, 136694, 142232, 146951, 152822, 154128, 129045, 136385, 140201, 141022, 145613, 151501, 153971, 129080, 133641, 138222, 143371, 146365, 150491, 154276, 131028, 134384, 140131, 144540, 145945, 152269, 155799, 129286, 133325, 137920, 142461, 146438, 151958, 155150, 131035, 134166, 136702, 140748, 146651, 150867, 154879, 130124, 132413, 138462, 142750, 147795, 152632, 156914, 130247, 136364, 138902, 144612, 147709, 150611, 155074, 129045, 136032, 139035, 141665, 145196, 150755, 154778, 129718, 135626, 140267, 144111, 148424, 151359, 154911, 128634, 132897, 138522, 142163, 148375, 152492, 155319, 129718, 134686, 138108, 144491, 145695, 149064, 153761, 128555, 132369, 139142, 141518, 145400, 148955, 153057, 128634, 133817, 139473, 141274, 146438, 150810, 156033, 130223, 136136, 139471, 143498, 148636, 151432, 155684, 128969, 133923, 139406, 142943, 146105, 149199, 153822, 128652, 136149, 136475, 142916, 147150, 149560, 155954, 131453, 135442, 139176, 144239, 148084, 152822, 154587, 131397, 135621, 136503, 144300, 145481, 151236, 154874, 128584, 136046, 138143, 143573, 148424, 150713, 154296, 128969, 134138, 138028, 140887, 148538, 152233, 154074, 131104, 136161, 138648, 140646, 146729, 152171, 154584, 128956, 135134, 138564, 143718, 145090, 150561, 153784, 130540, 136060, 138624, 142475, 148731, 149198, 155188, 132151, 134393, 140109, 142943, 146386, 149657, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 135924, 139983, 142932, 147574, 149695, 156185, 132098, 135700, 139091, 143506, 146965, 149210, 155070, 132146, 132874, 138175, 142968, 146833, 150564, 153670, 131188, 132934, 137493, 143827, 148371, 151759, 156405, 130321, 132535, 136561, 144102, 146344, 148781, 156478, 129286, 135852, 138046, 143738, 147892, 151069, 156777, 129552, 132525, 140200, 141604, 147239, 150008, 155672, 132173, 133928, 139096, 143524, 147348, 151560, 153291, 131447, 136454, 138046, 142809, 148449, 149323, 154819, 130124, 134150, 138719, 142862, 145906, 151083, 154108, 131543, 135364, 137645, 144382, 147720, 152755, 156821, 131035, 134150, 136692, 143607, 146246, 151107, 156722, 132193, 133622, 138074, 141895, 147068, 152269, 156076, 128652, 132889, 136746, 143387, 144853, 151395, 154447, 128634, 132565, 138747, 141920, 145366, 151327, 156917, 131397, 136064, 139242, 143325, 146740, 152145, 155685, 132165, 135147, 139442, 143712, 145152, 150464, 153856, 132193, 132601, 139597, 144521, 147286, 151141, 155008, 129045, 135496, 138930, 141927, 146616, 151113, 155446, 131039, 135138, 137446, 142281, 147329, 152414, 154239, 129116, 134811, 139952, 142218, 147414, 149183, 153102, 128969, 135126, 139414, 142395, 147336, 151253, 153866, 129496, 134811, 140292, 143243, 145995, 152795, 155500, 128557, 134076, 139950, 143272, 146901, 151114, 156847, 130418, 135626, 139445, 143489, 148627, 150723, 153851, 129552, 135503, 139397, 141664, 145183, 148991, 153023, 131397, 134668, 140004, 142505, 145203, 148829, 156917, 131543, 133555, 139039, 143397, 145005, 148998, 154014, 132098, 134545, 136962, 141468, 147433, 152409, 155108, 132146, 132753, 137493, 141211, 145556, 152734, 155214, 128741, 132684, 137777, 141726, 148335, 149301, 153954, 128557, 134601, 137433, 144084, 145058, 150944, 155178, 131670, 133333, 138442, 143151, 148517, 152329, 155031, 131288, 132687, 139657, 142484, 148217, 149001, 156733, 131505, 132855, 137407, 141454, 147573, 152018, 153441, 131654, 132468, 140027, 144247, 145580, 152755, 156463, 131318, 135862, 138566, 144639, 145393, 151699, 153421, 129221, 134165, 138658, 144519, 145817, 151704, 156117, 128817, 136080, 140261, 143270, 147259, 152765, 154945, 128258, 128262 ]

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

[ 128259, 128000, 52, 89, 359, 94382, 101020, 81101, 264, 44386, 11805, 68228, 26419, 84, 4458, 112796, 126696, 46937, 2329, 64, 18578, 16507, 6789, 79765, 13, 120946, 43179, 56620, 52152, 4538, 1062, 16319, 258, 297, 348, 1494, 79995, 31081, 106373, 9964, 127733, 5320, 30596, 11257, 359, 4355, 48497, 110193, 18244, 33573, 15606, 5553, 102904, 63353, 121778, 15606, 102265, 459, 3862, 1026, 110754, 13, 128009, 128260, 128261, 128257, 132319, 134916, 137637, 142574, 148207, 149620, 153782, 128436, 133142, 137744, 142805, 145114, 152251, 154348, 129045, 133573, 138365, 142886, 147720, 151889, 154262, 131397, 132548, 139261, 144388, 144775, 150030, 155091, 129738, 135924, 138826, 140685, 145007, 148963, 156932, 131039, 133399, 140182, 140989, 146320, 151119, 154403, 129045, 134662, 138080, 142809, 144885, 151123, 156200, 132253, 136047, 138919, 142882, 148327, 150842, 153017, 129813, 133142, 137337, 141717, 147024, 150913, 153357, 129735, 132955, 139687, 140952, 145242, 150049, 156831, 131397, 133077, 136771, 140748, 146787, 151491, 156020, 132106, 135442, 139554, 143136, 145321, 151393, 156183, 131187, 133888, 137835, 143167, 147932, 149248, 154325, 128945, 133308, 138241, 141254, 147239, 151930, 155678, 131397, 133407, 139132, 141798, 144940, 150526, 153102, 131188, 136307, 136550, 140960, 147525, 150976, 154976, 129718, 133928, 138359, 142750, 147791, 148970, 153049, 130282, 134138, 137908, 143942, 144754, 149469, 153470, 130321, 134513, 139704, 144257, 148240, 151302, 155166, 129756, 133544, 136473, 142789, 147613, 149185, 156303, 129813, 133474, 137904, 141875, 146824, 148755, 155443, 131035, 132379, 139403, 142751, 147426, 148984, 156390, 129045, 135432, 139286, 143653, 148335, 149547, 153207, 128634, 132865, 138279, 142282, 145693, 150431, 154425, 128275, 136344, 139126, 141377, 145650, 149700, 153360, 132240, 134413, 140315, 141994, 147665, 150224, 154967, 131397, 133953, 139787, 140561, 146813, 151603, 156120, 130244, 132627, 137007, 144341, 144782, 148750, 155240, 131164, 132726, 140116, 141899, 147349, 152603, 154128, 131188, 135214, 139207, 143847, 145586, 152409, 155570, 131397, 133952, 137112, 140599, 147359, 149194, 153511, 128634, 135237, 137093, 144097, 146327, 152163, 155731, 132253, 135904, 137022, 141740, 145768, 152694, 153232, 131039, 135369, 137217, 141294, 147058, 152232, 155377, 131543, 134534, 140035, 141163, 145153, 152328, 156793, 129552, 134508, 140498, 144206, 147487, 151339, 156265, 131397, 135820, 138488, 143977, 147876, 150102, 155216, 130847, 134363, 137814, 142928, 148172, 148994, 156265, 131704, 136445, 137944, 144069, 146599, 151159, 156396, 131543, 134733, 139927, 143502, 147876, 150476, 155790, 130457, 132528, 140380, 144272, 147283, 151840, 154388, 129869, 136308, 138190, 144069, 144865, 149268, 153446, 132185, 135780, 137142, 142436, 146335, 148907, 155448, 130334, 134971, 137759, 142122, 146386, 152168, 156264, 132247, 134788, 139880, 140709, 147076, 148935, 156601, 131543, 133766, 137934, 143827, 147166, 152664, 154851, 129045, 133779, 139620, 141578, 147502, 150784, 153816, 131826, 135295, 139295, 144644, 145981, 151579, 154815, 130282, 132542, 136711, 142670, 148153, 149778, 153025, 130854, 133403, 136634, 141403, 144972, 150218, 154778, 128969, 132865, 139126, 142030, 146949, 149954, 155636, 129045, 136064, 139833, 143613, 144996, 151395, 155649, 131397, 135503, 140334, 144517, 148499, 149375, 155597, 130412, 132840, 137001, 142346, 145687, 151417, 156249, 131667, 135910, 138183, 144630, 145687, 148786, 155095, 131104, 132865, 136874, 141137, 147297, 150802, 154082, 130589, 135503, 137022, 141586, 145695, 151147, 152973, 129116, 133495, 139869, 140868, 148527, 152282, 153879, 128634, 135621, 137022, 143603, 145846, 150810, 154393, 131104, 132865, 139641, 144344, 147517, 152078, 153002, 132116, 132880, 140087, 144518, 147404, 150064, 155990, 131397, 133435, 140260, 142600, 145687, 152536, 153825, 131104, 136292, 136518, 141794, 147435, 151779, 156331, 129738, 136274, 136658, 143882, 146813, 149099, 154451, 129718, 132496, 138450, 142564, 146198, 149464, 154951, 131000, 134922, 139187, 142190, 145505, 150915, 153953, 128652, 135316, 138183, 140635, 146594, 150350, 155257, 130751, 134138, 140158, 140637, 148313, 152235, 153814, 131397, 132457, 136658, 143786, 144988, 151464, 154938, 128436, 135807, 137304, 140679, 146284, 152404, 155619, 132106, 132477, 140539, 143786, 145748, 149298, 153991, 130412, 133511, 137157, 142230, 146360, 150032, 154066, 129273, 133568, 139686, 142134, 146364, 152579, 156051, 131014, 134942, 137391, 143247, 148710, 151921, 154986, 131039, 132385, 138993, 144563, 148078, 150047, 153236, 128634, 132438, 136770, 143587, 144745, 151770, 154804, 128827, 135442, 139906, 143717, 147250, 151996, 153000, 129273, 133801, 138900, 141977, 146364, 150746, 154635, 129286, 134076, 137158, 141823, 144741, 152300, 153727, 132193, 133259, 137894, 140989, 145776, 151818, 155475, 131397, 135358, 136856, 140922, 145197, 149987, 155560, 131104, 132909, 140123, 144217, 146872, 150879, 155398, 129200, 134071, 137561, 140564, 145731, 150111, 153433, 128893, 135627, 139950, 140670, 145748, 152511, 156805, 129273, 134499, 139387, 141570, 148335, 150252, 156805, 131543, 135712, 136654, 140671, 145756, 148967, 153746, 128652, 135503, 139732, 144641, 148164, 149049, 155860, 129767, 134160, 137835, 143712, 145123, 148821, 154520, 131397, 136039, 137339, 141137, 145474, 150565, 154082, 129738, 134076, 138857, 143648, 146090, 149349, 154359, 129036, 133455, 139504, 144435, 147249, 150103, 153715, 131543, 135061, 139717, 141479, 144780, 149093, 154008, 129552, 136149, 138595, 142105, 146094, 151955, 156147, 131397, 133263, 140223, 141372, 147136, 149729, 155639, 131104, 132865, 139059, 144626, 146692, 149274, 155456, 131399, 134365, 139234, 144108, 146554, 152739, 156699, 131619, 134390, 137588, 144391, 144971, 151657, 154873, 128652, 135904, 139665, 143088, 146475, 149883, 154821, 128956, 135253, 138933, 141795, 145082, 152633, 154003, 131397, 135796, 140040, 141149, 148084, 152508, 155529, 131188, 134458, 139465, 140554, 147674, 152581, 155937, 129981, 133516, 136755, 140772, 146392, 150210, 156419, 132146, 132830, 137322, 140888, 148449, 150716, 154851, 131397, 134508, 139379, 142960, 146498, 152162, 155587, 129597, 133552, 139583, 142996, 147377, 151536, 153665, 131651, 134961, 139613, 144604, 147808, 150726, 155795, 131044, 134027, 137732, 140619, 147226, 152427, 155519, 130255, 135889, 139026, 143648, 147764, 150554, 155599, 129273, 132513, 137839, 141036, 144907, 152214, 153472, 129718, 133148, 138121, 141335, 147832, 149114, 156279, 131397, 133407, 140028, 143828, 146772, 151430, 154295, 128555, 132414, 140260, 144402, 148106, 150089, 153967, 132146, 135229, 136653, 141939, 148432, 151940, 152928, 131051, 134513, 137429, 142298, 146201, 152085, 154792, 128634, 132495, 137219, 144179, 147481, 150316, 155307, 131114, 135285, 138767, 142977, 147573, 151367, 153626, 131341, 136136, 140412, 141109, 146608, 151366, 154283, 131543, 135011, 136633, 141015, 145687, 149530, 155374, 131860, 133555, 138322, 144388, 146051, 149723, 156828, 131397, 132576, 136477, 144413, 147099, 150120, 153442, 132098, 134742, 136946, 140967, 148202, 151846, 156510, 131447, 135914, 138526, 141836, 147646, 148835, 154939, 129552, 136372, 138568, 142162, 148189, 151122, 154473, 130429, 133011, 136706, 142781, 145755, 152680, 156226, 129496, 134764, 136778, 142354, 144942, 150395, 156317, 129844, 135770, 138413, 142322, 145670, 148861, 156845, 128703, 134854, 138595, 142681, 147775, 150570, 156769, 132293, 132866, 140502, 143148, 145608, 149210, 154045, 130878, 135889, 137561, 142845, 148592, 150061, 154654, 131529, 133223, 138565, 143594, 147259, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 42, 20306, 7370, 41990, 120487, 117821, 106580, 103838, 98410, 30596, 11257, 359, 4355, 48497, 75437, 5320, 1077, 42161, 63353, 7370, 108102, 62594, 115391, 1689, 17260, 450, 7792, 102191, 31285, 76, 111027, 5769, 75, 7569, 3862, 3067, 1048, 102265, 109488, 46963, 28726, 62594, 103328, 20750, 2807, 16618, 541, 84, 13, 452, 14466, 6729, 20934, 110403, 101728, 716, 16618, 120515, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 128817, 135379, 139168, 142404, 144685, 150275, 154560, 129496, 133399, 139556, 141230, 148328, 150777, 154262, 129738, 135747, 138761, 141142, 146600, 151517, 155110, 131039, 135980, 138431, 142663, 146201, 152375, 153342, 130223, 135214, 137744, 141458, 147015, 151432, 156160, 130244, 133361, 137497, 142322, 145808, 151841, 153909, 132193, 136064, 136660, 144369, 148352, 152005, 154288, 129045, 134076, 138864, 142763, 145695, 149327, 154784, 131397, 132661, 138786, 144565, 146375, 149945, 156821, 129718, 132369, 139945, 143716, 148283, 151123, 154872, 128810, 134421, 138528, 142373, 146426, 152002, 154661, 131397, 135921, 139027, 143056, 145153, 152511, 156250, 131421, 135441, 140099, 144077, 145168, 152294, 153532, 131543, 134148, 138906, 142878, 147953, 150271, 155560, 131104, 133993, 139142, 142135, 147485, 152297, 155022, 129116, 134502, 137371, 142404, 147730, 152523, 153201, 131447, 135665, 137164, 142684, 144749, 152827, 155990, 131397, 135199, 138381, 142862, 147525, 149796, 156888, 129813, 133567, 137267, 142648, 147441, 151330, 154888, 131104, 135126, 139091, 143601, 145695, 149469, 155716, 131397, 133399, 140282, 144595, 148262, 151088, 152910, 129924, 133558, 138322, 141713, 145569, 150950, 153291, 131155, 133921, 139504, 140783, 145277, 151349, 155911, 131543, 135538, 137359, 141644, 145556, 152501, 154173, 129045, 132889, 137307, 140825, 147762, 149191, 155248, 132103, 132369, 138375, 142675, 145923, 149049, 156500, 130094, 135115, 139222, 142785, 147814, 151757, 156381, 130438, 136408, 138415, 140701, 145079, 151883, 156448, 130835, 136308, 140342, 143895, 147808, 149815, 156723, 130929, 132868, 138003, 140627, 144680, 149700, 156750, 131543, 136139, 140260, 144394, 147914, 152361, 153431, 131826, 135214, 138467, 141751, 145846, 149839, 152970, 129715, 133481, 138566, 142870, 144776, 152627, 153743, 129924, 133421, 137612, 141615, 144677, 152259, 156918, 131826, 133655, 139176, 141664, 145750, 151096, 156231, 129045, 132844, 137117, 143282, 146259, 152073, 154622, 131884, 136307, 140300, 141183, 148327, 148753, 153503, 130807, 135322, 138667, 141235, 147585, 150064, 153781, 129667, 134821, 138605, 141223, 144951, 150231, 156388, 131397, 136297, 138038, 143390, 148433, 148918, 153002, 128578, 134605, 137280, 141003, 146224, 149195, 154984, 129286, 132728, 137035, 141426, 145516, 151858, 156049, 130223, 132369, 136710, 142271, 146448, 152118, 155510, 131543, 132520, 137404, 142384, 147509, 151896, 156675, 128945, 134231, 137196, 143505, 145271, 150698, 154155, 132064, 133247, 138094, 142538, 146921, 150362, 155920, 131543, 135655, 137175, 143133, 148385, 150618, 155630, 131397, 135910, 136948, 143358, 146364, 151096, 154365, 128945, 136225, 138240, 143316, 147573, 151502, 154286, 128634, 135118, 136886, 144085, 146426, 151128, 155397, 128889, 135071, 139147, 142360, 144669, 149144, 154729, 129116, 133733, 136857, 144041, 145695, 149774, 155412, 132146, 136348, 137241, 141846, 147465, 150587, 153145, 130223, 134138, 139034, 141259, 145858, 150488, 153275, 131530, 135439, 138266, 142570, 144903, 152348, 156088, 129045, 133305, 136691, 141199, 148123, 152277, 154559, 128634, 135069, 136954, 144202, 146505, 152649, 153953, 129116, 133010, 140356, 143848, 147945, 150933, 156769, 129767, 133266, 138528, 142137, 145695, 149747, 154230, 131397, 135626, 137958, 142745, 148449, 151526, 154411, 131447, 133551, 137037, 142271, 144657, 152157, 155662, 131397, 136064, 138649, 142863, 146105, 151435, 155531, 132193, 133405, 137527, 141851, 148296, 149944, 155959, 131397, 136274, 138861, 143602, 145995, 152114, 156417, 131571, 134679, 136659, 142372, 146716, 151796, 154526, 131397, 135034, 137309, 143542, 145484, 149014, 156150, 129575, 135287, 138129, 142923, 148449, 149017, 156285, 128945, 133020, 139024, 144026, 146923, 150397, 155518, 129718, 132369, 136923, 143963, 147226, 148953, 154935, 131397, 136161, 137268, 142373, 145434, 148885, 156573, 132193, 133495, 139111, 142784, 146332, 151896, 154456, 130998, 135549, 138066, 143181, 146335, 149662, 153795, 130334, 132433, 137794, 144313, 147259, 150314, 152997, 131529, 133318, 139880, 140709, 147076, 151741, 154355, 130892, 132537, 139614, 140593, 146755, 149678, 154498, 131328, 133998, 139072, 142956, 145134, 148832, 154910, 128459, 132612, 137625, 142664, 146281, 148833, 153548, 131903, 134198, 139044, 144090, 148350, 149852, 153549, 131114, 135785, 136473, 143222, 147953, 150876, 154972, 128652, 136403, 138809, 142905, 144872, 149618, 155464, 131397, 135071, 136506, 141199, 144664, 149391, 154911, 131543, 136091, 140495, 143677, 148593, 152161, 156649, 131961, 133555, 137324, 142015, 145846, 148882, 156620, 129273, 133268, 140534, 140946, 145687, 149960, 154815, 131397, 132865, 139967, 143864, 146436, 149940, 153702, 128634, 135377, 139518, 141012, 147839, 149991, 154283, 129718, 132414, 137367, 141844, 147914, 152352, 153295, 131188, 135208, 138415, 144416, 147914, 148929, 155829, 128819, 136092, 137039, 143970, 146957, 148849, 156769, 132103, 133636, 139874, 142007, 145740, 152404, 152905, 131670, 134633, 139294, 144071, 145947, 149845, 154610, 129273, 136097, 140524, 142567, 145843, 151485, 154799, 128877, 132753, 139550, 140953, 147624, 148964, 154726, 129496, 136161, 137436, 141942, 145299, 151179, 155233, 131884, 133844, 137826, 140990, 144977, 151907, 156827, 128956, 133755, 136861, 141238, 145723, 150540, 153132, 130634, 132563, 138113, 141480, 144839, 152185, 153377, 128683, 133435, 137137, 141468, 144907, 151599, 153182, 128520, 134742, 139692, 141261, 146573, 150939, 153129, 131409, 136340, 139817, 141770, 144657, 150222, 152905, 130223, 135010, 140476, 144327, 144841, 150035, 153029, 128945, 135979, 138832, 142943, 147261, 151229, 153459, 130892, 132619, 137013, 141723, 148449, 149245, 156815, 131667, 132666, 139506, 144445, 146503, 152449, 156737, 132106, 135834, 137888, 144557, 146773, 150780, 155405, 129496, 133427, 137231, 141673, 144942, 152080, 154763, 128877, 135112, 138822, 143115, 148480, 150150, 153459, 128983, 135780, 138906, 142436, 145076, 152397, 153744, 130334, 134971, 137952, 140709, 146386, 152168, 156264, 131529, 133318, 139880, 140709, 147076, 151741, 153384, 129920, 134029, 139643, 143483, 147905, 150152, 154592, 131188, 135626, 138596, 142546, 146607, 152836, 155493, 129718, 136136, 136743, 143912, 148352, 151228, 155489, 129667, 132457, 139537, 142522, 146965, 150991, 155101, 128634, 134086, 140406, 143648, 148130, 151757, 153279, 129644, 133388, 139144, 141228, 146894, 149151, 154126, 131104, 135911, 139635, 143411, 145783, 151379, 155511, 131397, 132865, 139570, 140591, 148540, 149391, 155624, 131543, 134635, 137900, 143631, 148153, 149093, 156265, 130096, 132935, 136546, 140888, 148236, 150322, 154518, 131188, 134940, 140461, 143575, 147730, 150246, 154765, 130223, 134659, 138640, 143115, 147228, 149106, 154504, 131667, 134811, 137242, 141726, 146226, 149301, 153132, 128545, 134657, 136808, 142809, 147957, 149201, 156859, 131397, 133044, 137139, 143041, 147159, 149311, 154486, 128330, 134511, 140433, 142429, 145805, 149217, 155569, 130257, 133382, 139894, 142216, 146514, 151888, 155493, 131654, 135847, 139657, 144411, 148214, 151224, 153648, 132028, 133593, 138658, 143389, 145812, 150233, 155636, 131363, 132900, 137472, 141066, 148029, 149680, 153408, 128258, 128262 ]

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

[ 128259, 128000, 56, 1394, 53271, 51387, 36068, 40957, 105620, 1048, 5769, 75, 7569, 16507, 114231, 102516, 49621, 16461, 117610, 297, 4835, 8093, 3067, 104460, 106527, 15606, 109792, 38511, 52314, 46957, 111212, 321, 62472, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 146386, 151741, 153384, 132201, 135754, 136478, 141041, 147791, 150123, 153104, 129048, 134951, 136678, 144608, 146920, 150653, 154973, 130124, 133356, 137343, 141778, 147354, 152212, 154781, 129286, 134601, 139870, 141914, 145237, 150491, 155684, 131530, 135633, 140432, 143706, 144838, 151698, 154792, 129045, 134951, 139686, 140798, 147616, 149632, 155335, 130282, 132369, 139931, 142013, 146366, 148851, 156723, 130709, 134615, 140552, 141984, 145197, 149204, 155860, 130971, 133771, 137577, 140780, 145946, 152282, 153915, 131103, 135757, 140490, 143693, 146625, 150947, 154424, 129286, 135880, 137134, 144529, 145556, 150315, 152999, 128945, 133138, 137181, 144037, 148377, 151399, 153043, 130336, 135042, 139438, 142174, 147006, 151408, 155512, 129981, 133496, 139578, 142739, 148221, 149430, 154207, 129423, 132619, 137056, 141857, 146886, 151794, 154520, 132106, 134488, 138888, 144427, 148377, 151766, 155657, 131397, 134985, 137665, 143051, 148327, 152171, 153464, 129286, 133333, 137080, 140953, 148192, 151359, 154393, 131188, 136039, 136574, 142004, 145839, 150240, 156718, 129667, 135061, 137155, 141419, 145760, 149166, 155517, 128634, 132879, 139607, 143703, 145703, 151035, 153137, 131832, 135828, 139039, 141984, 147618, 149258, 156816, 129387, 132807, 138057, 143344, 144693, 149755, 156816, 128275, 132925, 137953, 141047, 147252, 151426, 156293, 128675, 135266, 137032, 144094, 146219, 151949, 156506, 132335, 134659, 139991, 143221, 145290, 149514, 156526, 132076, 134441, 139169, 143123, 148035, 149166, 153028, 132265, 133576, 139332, 140717, 148295, 149379, 153354, 130473, 135307, 139383, 141458, 144861, 150081, 154789, 130427, 134295, 140055, 144428, 148325, 149817, 155419, 131397, 136455, 138226, 140806, 144657, 150192, 153391, 129718, 135442, 136916, 141199, 146454, 149204, 153232, 128634, 132453, 139213, 140952, 144706, 152787, 155110, 132265, 134292, 138960, 141756, 147430, 150841, 153691, 131397, 135651, 138409, 143818, 148580, 150341, 154573, 131826, 136138, 136504, 143068, 144657, 152149, 156171, 129667, 135237, 138118, 140771, 147502, 151866, 155142, 129286, 132376, 137590, 143240, 145748, 149839, 154393, 129813, 132456, 137903, 141864, 144744, 150759, 154242, 130336, 136039, 139883, 141742, 146886, 151620, 156775, 129273, 135645, 137931, 143706, 145222, 150986, 156532, 129423, 135266, 140126, 142725, 147239, 151115, 154727, 132106, 134633, 137335, 143888, 147953, 151802, 154214, 129738, 136274, 139866, 141952, 148084, 149553, 155211, 128956, 136362, 137703, 141217, 148702, 150122, 153276, 132106, 133538, 138072, 141188, 147150, 151597, 156334, 131014, 134741, 139177, 140717, 147517, 149348, 155449, 130457, 136242, 138335, 142533, 146822, 151835, 155215, 129121, 136267, 138528, 142747, 146015, 150816, 156396, 129423, 133174, 139981, 140639, 148382, 150216, 156275, 131222, 134920, 139857, 141361, 145436, 151529, 156823, 130124, 135436, 138688, 143167, 147470, 151099, 153932, 128634, 133495, 138797, 140944, 146243, 152352, 156227, 129813, 135190, 140086, 144432, 145153, 150547, 156101, 128819, 135071, 137595, 142863, 145834, 152637, 153421, 129292, 133891, 139241, 141950, 145550, 148761, 155010, 128344, 132500, 138858, 143963, 145059, 150152, 155564, 129048, 135051, 136676, 140655, 145284, 151494, 155419, 131652, 132398, 138175, 142013, 144728, 152421, 156334, 128634, 135488, 139799, 142364, 147730, 148750, 156789, 132146, 136442, 137996, 143318, 146850, 149680, 155858, 132253, 134776, 136492, 143175, 145593, 150638, 153558, 129981, 134460, 139405, 141261, 146952, 152799, 154763, 129667, 135845, 140133, 143126, 145516, 149381, 153798, 132057, 133282, 136551, 141887, 146879, 151846, 156535, 131397, 135796, 139994, 143446, 146051, 151335, 154415, 132193, 134860, 137807, 141439, 144801, 150814, 156367, 128952, 133868, 137661, 140556, 145153, 149530, 155782, 130223, 134160, 137013, 143825, 146912, 149524, 155881, 131188, 135414, 140349, 144177, 146438, 150249, 156937, 130223, 133635, 138515, 142726, 144664, 152261, 155623, 131188, 133228, 139311, 144342, 145834, 150841, 153421, 131619, 134252, 140412, 142130, 147541, 149086, 156733, 130223, 133653, 137814, 142911, 145436, 152731, 155123, 129667, 135539, 138037, 141659, 146048, 151189, 156512, 131778, 135199, 139711, 141995, 145325, 151082, 156114, 131880, 135515, 140141, 144633, 145641, 151501, 154922, 131318, 133780, 140536, 142178, 145834, 150028, 155747, 131223, 132392, 139052, 143389, 146500, 151359, 153118, 131132, 134618, 137037, 143512, 145915, 149453, 153283, 128258, 128262 ]

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

[ 128259, 128000, 34703, 275, 120300, 5320, 124711, 501, 117764, 10784, 68228, 106350, 102565, 106802, 6729, 85939, 26693, 88, 541, 84, 13, 113362, 15606, 17372, 101116, 1029, 2448, 15606, 110637, 26355, 594, 37511, 119753, 9258, 11, 1048, 107847, 432, 4414, 875, 14937, 261, 4265, 3862, 13, 28326, 18638, 564, 2159, 462, 104453, 9964, 838, 483, 23119, 2227, 12874, 78587, 104166, 5653, 29839, 332, 24705, 8093, 665, 12657, 68233, 293, 11178, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154137, 132185, 134047, 140319, 140564, 145915, 152148, 156816, 130465, 134657, 137493, 141457, 146692, 150724, 152867, 132193, 135865, 139781, 142976, 145156, 151411, 153469, 129718, 134388, 139187, 143050, 145183, 149107, 154388, 132103, 133901, 138727, 141966, 146967, 149397, 154661, 128652, 133407, 138471, 144197, 146127, 149726, 154425, 131104, 134427, 139806, 144231, 145593, 149132, 156666, 128439, 133407, 140505, 140716, 147994, 148961, 153980, 129667, 134432, 137103, 142873, 146514, 152438, 153393, 129539, 135372, 137780, 142298, 147253, 151012, 154879, 128956, 132376, 137867, 143886, 147944, 148983, 153851, 131397, 132899, 139733, 144157, 147413, 149047, 156294, 128557, 132769, 139315, 141927, 147232, 152000, 155373, 130247, 135763, 139255, 141836, 148657, 151704, 154880, 129594, 135214, 137092, 143673, 148646, 152000, 154007, 128956, 136080, 137472, 142570, 145596, 152021, 155645, 131883, 135757, 139821, 141604, 145143, 149307, 156179, 129086, 134138, 139511, 143608, 146939, 149521, 154299, 128812, 134160, 139273, 142592, 145093, 151076, 154141, 131543, 133546, 138492, 141427, 146389, 151249, 155702, 132253, 134878, 139266, 144378, 147008, 151126, 152938, 130550, 135773, 140218, 143702, 146453, 150522, 154037, 131188, 134388, 139708, 141497, 144745, 149199, 152968, 129527, 136181, 139113, 141867, 148189, 152404, 153615, 129667, 133993, 140257, 140920, 146672, 150158, 153437, 129718, 133817, 137682, 141642, 146739, 152773, 156218, 129589, 135503, 137363, 141995, 144971, 151424, 153688, 129667, 135522, 137907, 141581, 147646, 149729, 153556, 131397, 132504, 138031, 141575, 144905, 152642, 154552, 132193, 132806, 138724, 141453, 148206, 151475, 156013, 131397, 136161, 138891, 144566, 146936, 151484, 155300, 129552, 134254, 139873, 141527, 147702, 150322, 156547, 130223, 135214, 136962, 143502, 145907, 149918, 153397, 128557, 136085, 137231, 141109, 145394, 152148, 152899, 129188, 133303, 138188, 144176, 146068, 148851, 156117, 131288, 134792, 137497, 141652, 148566, 152018, 154093, 130315, 135358, 138477, 142871, 146871, 149145, 154565, 131880, 135412, 136680, 142120, 146953, 151705, 154124, 131223, 133745, 137451, 140830, 147713, 148893, 155419, 129221, 133018, 138595, 144172, 146477, 152168, 154336, 130977, 134278, 136970, 141568, 146566, 151704, 156409, 131415, 133240, 137899, 144205, 145608, 149299, 153725, 128983, 136443, 139983, 140983, 146760, 152576, 153725, 131961, 134173, 138478, 140561, 148424, 149688, 153866, 130439, 133385, 138588, 143828, 145531, 150177, 156573, 130176, 136180, 140408, 142183, 145676, 150321, 156422, 132160, 134624, 139751, 142381, 146340, 150346, 153962, 128652, 133262, 139100, 141732, 144972, 149571, 156469, 131188, 132461, 138705, 141882, 145055, 152104, 156157, 129667, 133385, 137892, 142670, 146240, 152020, 156629, 128956, 133324, 140446, 143472, 146259, 150319, 154161, 129718, 134562, 139792, 142478, 145183, 148835, 153674, 129589, 133228, 136987, 142271, 146340, 150483, 153756, 129924, 134945, 139261, 142097, 146179, 149619, 153081, 128652, 136149, 138580, 141931, 144657, 152751, 156897, 128952, 133507, 138598, 142427, 148144, 151482, 155298, 130641, 136226, 139733, 142132, 145029, 150857, 156435, 129667, 136136, 138018, 143526, 148209, 149575, 156810, 131201, 132416, 140190, 143712, 147541, 148779, 156520, 131171, 135864, 139662, 142684, 148207, 151578, 155403, 131544, 133903, 139019, 140736, 145570, 152409, 153711, 129667, 135199, 137699, 144260, 147646, 149575, 153128, 128889, 135197, 138405, 143483, 148433, 150712, 154273, 130641, 132890, 138726, 140753, 148449, 148953, 153200, 128557, 133555, 140031, 144634, 145125, 148974, 156257, 128877, 135157, 140241, 141261, 147300, 152269, 153050, 129667, 135199, 140178, 142706, 147414, 149289, 154095, 128982, 132746, 137019, 141715, 145108, 149569, 154124, 131687, 132855, 137417, 141542, 146191, 152732, 156735, 131543, 134766, 139349, 141816, 147509, 152140, 155907, 129045, 133801, 139786, 143349, 144826, 150930, 156582, 128827, 133672, 140301, 142013, 147790, 151924, 156500, 131505, 132370, 137079, 143742, 146566, 150450, 154509, 132028, 133962, 136816, 141588, 148150, 150463, 156460, 130255, 135954, 140312, 143281, 145689, 152667, 156621, 129340, 135139, 138382, 141348, 146712, 152472, 155146, 129092, 134390, 138052, 144508, 148108, 152319, 155103, 132265, 133767, 136498, 141648, 146133, 150579, 155814, 131104, 135541, 139147, 142077, 145084, 151881, 156631, 128634, 136436, 137922, 140631, 145183, 149870, 154214, 130641, 135300, 138588, 142534, 144673, 152787, 153470, 131039, 133675, 138197, 140667, 148743, 150147, 153051, 129813, 133056, 138726, 142216, 147359, 149284, 153300, 132185, 135110, 140099, 142537, 147540, 151523, 156672, 131172, 135780, 136910, 142657, 148156, 152254, 155946, 131806, 132488, 136970, 143565, 147499, 152056, 154295, 129509, 133069, 138438, 143482, 146033, 149552, 154388, 132318, 134323, 140116, 143522, 146405, 151904, 153526, 132240, 135754, 139085, 142091, 145063, 148955, 156261, 131778, 135237, 137268, 144081, 145929, 149185, 155830, 129045, 135230, 140153, 143109, 145253, 151159, 156052, 129667, 132684, 137309, 142968, 147562, 149924, 155902, 130751, 132972, 140095, 143912, 145695, 151886, 156449, 131114, 133010, 138664, 143864, 145188, 151414, 156892, 129496, 132989, 140035, 141338, 145519, 149845, 153899, 132246, 133399, 137491, 140641, 145868, 150673, 153841, 131051, 135636, 139468, 142906, 145059, 149907, 153586, 131188, 134679, 140148, 141008, 148589, 150758, 155374, 131379, 133148, 138796, 144333, 147225, 148747, 155325, 128945, 134254, 140355, 143748, 145449, 151135, 153863, 130465, 133722, 137520, 141212, 147271, 152734, 156934, 132293, 132756, 139908, 141846, 147484, 151761, 155860, 131223, 132766, 137495, 141528, 144728, 149310, 155936, 130758, 136062, 140400, 143534, 146405, 149455, 153944, 132151, 135686, 136683, 142932, 147259, 150551, 155746, 128983, 135780, 139659, 143549, 145915, 150476, 153308, 129707, 134173, 137529, 141383, 147485, 151227, 154361, 129080, 135929, 139858, 141524, 146461, 151356, 155861, 130829, 136340, 137422, 141980, 147646, 149808, 156548, 128652, 132369, 138586, 143690, 146156, 149607, 154134, 129667, 136045, 138331, 141545, 148212, 150119, 155211, 130085, 132780, 137435, 144000, 146701, 151949, 156166, 132275, 132954, 138285, 141224, 145193, 151315, 154660, 129667, 135237, 136562, 141570, 145516, 150626, 155426, 129045, 136108, 138021, 143054, 145563, 149733, 153329, 128634, 135332, 139112, 142524, 146448, 152328, 152923, 129813, 136039, 136541, 141254, 148327, 150792, 153772, 132265, 133938, 139127, 142296, 145691, 149162, 156891, 129572, 136221, 138555, 143643, 145218, 148921, 154305, 130336, 134930, 137920, 141788, 145850, 150830, 156573, 129575, 135873, 137206, 143438, 146625, 152238, 156522, 129813, 136424, 138393, 142180, 147525, 150799, 155700, 129667, 135358, 139027, 141756, 147359, 152226, 156917, 129423, 133125, 136868, 143405, 147000, 151666, 152925, 130429, 134076, 137041, 144083, 147783, 151236, 156339, 130123, 134827, 137780, 142708, 145270, 148834, 156511, 131543, 134076, 139815, 142789, 145434, 149991, 154348, 131188, 136242, 139621, 140754, 146694, 152109, 153486, 129813, 134036, 139129, 144521, 147665, 151142, 155762, 129756, 134546, 139528, 141235, 147786, 148989, 156003, 132193, 134921, 137920, 140880, 147746, 150624, 153078, 131397, 133954, 137801, 142635, 146105, 151758, 155969, 131447, 136136, 138931, 142878, 148742, 152527, 155368, 128779, 134454, 137396, 143736, 146853, 152673, 152990, 131543, 136307, 139091, 143203, 146438, 150016, 153487, 129045, 133308, 136927, 143450, 147239, 150032, 154877, 130296, 135386, 138016, 141439, 148616, 151503, 155746, 129483, 133595, 137165, 142018, 147281, 150289, 154650, 131327, 134792, 137396, 144158, 147360, 151316, 155710, 131461, 134256, 138955, 144419, 147948, 148786, 153140, 131606, 134056, 138157, 140589, 146344, 152525, 155799, 129286, 132374, 137396, 141475, 146900, 151176, 154567, 130223, 135904, 136675, 142000, 147953, 149255, 156004, 129767, 135199, 140027, 142324, 148300, 151681, 154490, 128520, 135947, 138805, 144036, 147239, 151028, 155245, 131667, 136370, 138348, 141092, 144805, 150555, 155762, 131397, 134712, 140038, 141537, 147020, 148774, 153128, 129045, 135463, 140003, 144395, 146584, 149701, 156643, 128956, 135102, 138073, 143761, 147932, 149538, 153051, 131133, 135009, 136812, 144576, 146014, 149733, 154724, 129621, 135310, 137934, 143947, 148576, 151128, 154808, 131397, 136161, 136740, 142803, 147635, 151484, 154387, 129273, 135362, 136973, 140754, 148334, 150417, 154858, 129045, 136267, 137322, 142624, 146516, 152799, 155891, 131397, 135071, 139687, 143749, 147487, 148789, 153522, 129552, 135864, 139662, 144450, 147810, 152700, 155423, 131409, 133500, 139792, 143034, 147000, 152259, 153095, 129738, 135147, 136665, 141496, 147435, 151415, 155211, 129667, 133601, 139990, 141512, 147436, 151121, 156242, 131397, 132598, 137454, 141031, 146505, 150857, 155237, 131826, 136064, 139638, 144191, 144996, 150192, 152888, 131345, 132708, 139789, 142511, 145693, 150326, 155049, 128979, 136425, 138463, 140888, 147775, 150289, 156381, 132166, 135858, 138228, 143148, 148146, 151200, 154937, 128902, 134593, 138433, 143691, 146881, 150069, 155151, 131675, 133580, 139813, 140643, 147026, 149574, 153283, 128258, 128262 ]

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

[ 128259, 128000, 48880, 3209, 28074, 7173, 1263, 84, 11257, 372, 107812, 620, 277, 107664, 1938, 100946, 18244, 1394, 30596, 11257, 359, 102847, 2629, 15606, 34065, 7370, 84, 83000, 107347, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 129917, 134177, 138281, 141120, 145514, 149878, 155038, 130321, 135811, 139068, 140955, 148353, 150827, 155398, 129756, 134348, 140337, 142322, 145695, 149275, 155685, 129667, 133215, 138053, 142919, 145178, 149653, 153233, 131397, 136076, 140516, 142546, 144972, 151533, 153304, 129288, 135080, 136465, 143000, 147488, 149792, 154237, 130336, 134598, 136541, 143266, 145694, 148841, 155910, 131104, 136073, 140382, 142348, 146785, 149987, 154456, 129718, 132477, 139415, 141277, 148161, 151007, 155862, 129813, 134536, 139127, 143666, 148147, 149685, 154938, 130778, 132840, 137226, 142293, 144907, 152328, 154636, 130709, 133041, 139834, 142225, 148397, 150816, 153038, 131188, 134679, 138046, 143878, 147431, 150333, 155650, 128945, 132502, 137008, 142060, 145818, 151078, 153932, 131543, 135442, 139129, 144096, 147509, 150049, 154542, 129496, 134766, 136508, 141952, 145687, 149987, 155207, 132106, 134337, 140264, 143696, 146923, 149592, 154821, 132116, 135913, 138586, 140855, 145222, 151726, 154984, 131397, 135295, 136468, 143243, 147349, 150390, 155655, 132193, 132928, 138074, 144160, 148084, 149999, 156106, 129575, 132708, 137696, 142922, 147751, 149971, 155788, 131398, 133886, 138504, 141995, 148097, 151192, 154638, 131475, 132665, 139817, 142529, 148135, 152796, 155321, 129387, 133081, 137226, 141322, 146664, 152550, 153523, 128983, 132692, 137583, 142151, 146335, 149662, 154724, 130998, 136228, 138281, 143147, 146756, 151611, 155722, 132193, 134267, 136748, 143673, 147730, 149004, 154018, 130589, 136076, 140526, 144428, 145341, 150980, 156406, 132193, 134422, 138446, 144291, 147588, 150842, 155335, 131826, 134312, 139037, 144082, 144759, 150697, 152895, 129045, 132471, 136982, 140920, 144805, 151941, 153240, 129717, 135100, 137350, 143608, 145269, 148965, 155516, 131035, 136216, 137351, 143761, 148484, 150134, 156900, 128634, 134157, 138057, 141426, 146094, 152311, 156173, 130336, 134536, 138183, 143242, 147032, 151247, 153892, 129813, 135495, 140421, 144344, 148147, 148982, 155087, 128634, 134150, 140097, 141016, 146755, 151347, 154056, 129813, 135237, 139072, 141137, 145430, 152756, 154223, 130619, 135905, 138972, 141455, 145650, 152824, 155662, 131543, 136188, 138923, 141627, 147730, 152332, 153897, 128956, 132818, 140223, 140950, 147634, 152700, 156745, 128652, 134555, 139278, 141350, 145593, 149302, 156405, 130148, 133362, 137491, 144585, 148206, 149798, 156784, 130881, 135558, 136852, 141686, 145114, 149697, 156260, 128557, 134511, 138118, 141062, 148397, 152285, 152854, 130796, 134797, 137086, 142097, 146169, 149705, 155586, 130881, 132471, 138853, 144600, 145843, 151691, 156322, 132042, 134598, 136838, 142046, 148335, 151940, 154794, 128741, 132954, 139768, 144206, 146901, 151704, 156265, 131188, 134509, 137771, 141249, 145196, 149182, 156560, 129735, 135325, 139936, 144411, 145124, 152224, 156699, 128956, 135503, 138376, 141995, 146797, 152059, 154617, 129552, 134284, 136654, 141010, 148660, 150515, 153933, 128956, 134859, 137795, 141109, 147371, 149079, 156321, 131667, 136085, 136897, 141058, 147584, 151354, 156733, 129106, 132495, 138379, 141851, 147709, 151157, 153993, 129552, 134732, 138421, 141109, 146910, 149485, 156673, 131505, 133064, 140549, 141939, 146179, 150207, 154124, 131223, 133282, 139890, 141805, 144804, 152548, 155260, 130255, 133542, 137844, 142224, 146068, 149476, 154697, 130929, 133524, 137911, 140940, 145511, 149325, 153283, 128258, 128262 ]

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

[ 128259, 128000, 37, 355, 12574, 104383, 123704, 1370, 3862, 4937, 53271, 71862, 103328, 1794, 332, 18137, 14283, 28074, 123675, 7173, 309, 121354, 38404, 15606, 34065, 7370, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 132151, 134098, 137759, 143137, 145851, 149404, 154076, 129273, 135798, 137332, 141873, 147765, 151202, 154520, 129048, 134222, 140390, 143266, 145613, 149341, 153419, 131530, 132458, 138651, 141439, 146564, 151901, 155490, 128634, 134276, 138081, 141270, 148289, 151147, 155493, 131851, 135347, 138033, 141379, 144657, 152585, 152923, 131104, 134586, 139503, 144254, 144972, 150167, 154577, 129813, 135495, 137404, 144319, 145691, 152766, 153936, 131104, 136257, 138838, 143648, 144894, 151226, 154822, 130829, 136428, 140086, 142322, 145153, 149597, 154880, 132232, 132889, 138279, 140742, 145858, 149195, 155045, 132116, 133631, 139558, 140714, 147746, 150456, 156174, 128956, 135864, 138729, 141346, 144939, 149934, 153554, 130336, 134805, 136572, 144379, 145298, 149704, 154886, 130829, 135870, 137517, 141720, 145377, 151006, 154571, 129813, 132741, 140361, 143001, 147525, 149702, 155028, 131065, 135021, 138141, 141307, 148086, 149325, 156804, 129273, 135689, 137332, 142638, 145875, 151399, 154842, 129575, 136363, 136920, 142277, 145695, 151913, 155726, 130124, 135125, 138141, 141264, 144765, 149368, 153084, 129286, 133091, 139978, 143688, 146853, 148761, 154338, 130124, 135125, 137822, 142064, 146920, 151756, 155382, 129200, 132975, 138310, 141000, 148457, 151433, 153987, 130776, 136379, 140550, 144489, 145687, 149015, 153232, 129813, 133142, 139350, 143826, 144805, 150395, 153503, 129273, 132818, 139315, 143026, 145984, 152636, 153675, 131670, 135089, 138969, 140712, 145843, 149182, 156453, 129273, 132818, 138105, 144574, 148084, 151517, 153962, 131884, 133931, 137977, 143309, 147059, 150937, 155662, 129048, 133480, 139749, 143046, 148356, 150327, 155987, 131530, 135439, 140099, 141133, 145885, 152375, 154398, 129813, 135153, 138924, 143832, 145430, 152158, 154651, 128889, 132949, 138267, 143718, 146456, 148999, 154136, 131530, 133382, 136632, 142283, 148189, 148748, 153276, 132253, 135530, 137856, 144239, 147452, 151793, 156593, 129738, 132504, 137775, 142207, 147909, 151866, 155962, 129718, 135974, 139465, 143672, 145183, 151970, 154734, 128634, 132741, 139535, 142604, 148437, 152583, 153971, 129813, 133148, 137817, 144481, 144783, 151806, 156881, 131104, 132865, 138786, 140754, 147485, 148946, 155207, 131397, 134861, 137454, 141468, 147166, 152343, 154632, 131103, 134337, 139585, 140705, 147731, 151386, 154125, 131164, 134491, 137276, 142347, 148046, 152816, 154302, 128614, 132625, 136644, 144263, 145356, 149458, 155941, 132193, 134208, 139841, 141418, 145825, 149239, 154425, 129045, 133708, 137899, 141621, 146813, 150099, 156147, 129273, 132658, 136541, 144331, 146813, 151325, 156852, 131884, 134006, 138919, 142569, 148438, 150579, 153417, 131397, 136216, 140316, 143251, 145832, 150049, 153920, 131384, 132717, 138120, 140806, 146600, 150390, 156794, 131397, 133544, 138442, 141666, 145251, 150956, 153933, 132106, 132481, 137251, 140971, 145593, 150921, 153822, 129286, 135358, 140264, 141716, 147298, 148955, 155275, 131397, 136161, 136583, 140763, 145299, 151179, 155925, 131104, 135257, 137570, 143712, 146620, 150705, 156000, 128555, 133688, 140096, 142504, 147914, 152389, 155231, 131826, 134805, 139692, 142121, 148408, 149837, 153937, 129815, 134682, 138879, 144356, 145062, 152755, 154420, 128932, 135317, 140369, 143512, 146583, 149794, 156447, 131037, 134084, 139553, 142322, 147334, 148942, 152854, 131843, 132553, 140339, 141360, 145349, 152410, 152857, 128956, 135550, 137215, 140796, 144743, 151546, 154356, 130928, 132866, 138686, 143379, 145628, 151641, 153294, 131884, 133279, 136957, 141332, 144782, 150724, 154436, 131417, 135112, 139325, 144411, 146554, 149898, 154295, 128275, 133292, 140379, 141966, 145812, 150215, 153200, 130255, 135954, 137880, 142332, 148150, 152526, 154178, 132191, 133546, 136786, 140715, 144721, 149131, 155374, 128258, 128262 ]

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

[ 128259, 128000, 91888, 107324, 119321, 110318, 104913, 15606, 6729, 11, 58112, 9964, 127733, 108569, 11, 105544, 29839, 332, 81101, 114210, 105704, 103328, 17580, 581, 6729, 90584, 309, 33573, 15606, 6729, 379, 2481, 450, 346, 409, 110746, 51387, 36068, 40957, 105620, 52314, 46957, 111212, 321, 62472, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 142048, 147181, 149712, 154007, 130552, 134047, 138847, 144510, 145687, 148774, 154332, 129738, 134525, 137752, 143382, 146147, 150014, 152929, 131731, 135416, 139874, 143902, 144867, 150863, 153341, 129575, 132658, 138954, 142100, 144996, 152192, 153174, 131447, 134525, 140474, 142096, 148742, 148786, 154441, 129813, 135638, 139676, 141788, 148580, 150826, 155517, 131397, 134088, 137388, 143732, 148473, 152246, 154131, 131188, 133197, 138855, 144285, 145828, 151637, 154657, 132116, 133495, 140138, 143319, 148706, 150877, 153002, 132253, 132831, 140467, 143015, 147166, 152426, 156637, 131200, 134337, 138950, 144119, 147743, 150626, 155817, 129048, 133333, 136859, 143461, 145413, 149709, 156371, 131188, 134051, 136815, 141940, 145646, 151526, 155051, 132265, 136292, 138465, 143170, 144988, 151404, 153444, 129423, 135475, 137929, 141511, 144996, 152620, 155891, 131397, 133146, 137001, 143272, 145691, 151171, 154126, 129185, 136387, 138648, 143488, 147115, 152470, 154073, 132059, 136301, 137656, 142395, 144669, 150179, 153699, 129192, 135564, 138551, 142028, 146426, 150952, 156197, 128889, 135071, 138960, 140779, 147485, 150703, 154660, 129813, 133239, 138823, 143631, 145756, 152472, 155709, 130751, 132428, 139567, 144285, 147660, 152833, 153259, 130974, 133311, 138551, 142012, 148477, 150300, 153610, 128991, 133605, 140508, 141615, 146177, 150726, 156409, 131548, 133314, 139426, 142007, 146677, 152830, 155398, 129347, 135243, 138001, 141428, 146055, 152326, 154288, 128606, 133950, 138663, 141840, 146627, 149676, 153876, 130096, 134938, 139140, 143181, 148618, 150737, 156727, 131670, 133460, 138542, 143277, 147509, 150685, 156210, 129423, 134741, 139042, 140614, 148335, 152171, 154240, 131643, 133215, 140534, 140888, 148350, 151501, 156500, 131884, 135603, 139790, 143047, 144775, 151731, 156805, 131397, 136274, 138766, 141824, 147635, 149446, 156046, 129813, 135126, 139813, 141737, 145264, 152649, 155947, 129735, 132504, 138488, 143696, 147258, 151177, 154542, 129738, 134552, 140022, 144367, 147525, 149157, 155239, 131397, 135237, 136856, 141189, 148361, 149932, 154777, 130412, 132871, 138183, 144082, 145365, 152523, 155560, 130336, 136039, 140445, 144020, 147759, 149983, 155410, 129813, 134312, 140245, 142505, 146824, 151638, 154651, 131035, 132671, 138950, 141740, 145613, 149115, 154311, 129286, 132880, 138690, 142397, 146163, 150436, 154018, 129667, 136307, 137779, 142000, 145516, 151637, 154451, 129192, 132369, 139107, 141434, 148242, 150967, 155151, 131543, 132794, 137899, 142658, 145740, 148875, 154592, 131397, 133399, 136928, 143521, 144805, 151941, 156607, 130673, 133938, 140248, 144379, 147646, 150525, 153332, 129667, 136037, 137919, 141314, 145484, 152437, 155382, 128850, 132826, 137056, 143428, 147239, 149446, 155230, 130336, 133762, 140345, 144435, 145028, 151424, 154567, 131397, 133460, 139196, 141415, 147487, 152251, 152939, 131014, 133239, 136873, 141066, 146881, 149230, 155924, 129496, 135328, 137130, 144165, 145748, 150552, 155830, 132265, 135312, 136828, 143167, 145008, 152274, 155288, 131397, 132455, 138620, 142136, 146813, 150842, 156832, 128893, 136362, 137900, 141794, 145379, 149643, 154912, 128969, 134241, 138074, 142624, 145177, 150277, 154116, 128652, 135864, 138729, 143778, 147233, 149613, 155919, 128634, 134871, 139026, 144181, 145646, 148874, 155796, 129667, 135148, 136520, 140754, 148449, 152311, 156479, 130673, 133399, 137001, 143260, 145973, 150764, 154134, 128893, 135796, 138415, 140658, 145687, 151074, 153240, 131397, 132949, 137761, 140754, 145178, 152171, 154095, 131104, 135474, 138670, 144341, 146438, 152018, 155410, 129756, 133099, 139147, 141680, 145134, 151200, 153038, 128437, 133663, 138782, 144594, 146514, 151505, 156584, 128634, 133817, 136759, 141534, 147502, 148955, 154516, 130751, 136301, 139162, 144338, 144971, 152431, 154938, 128812, 132965, 138960, 142919, 146281, 149556, 156568, 132059, 133399, 139026, 143958, 145132, 152610, 152943, 129718, 134862, 139349, 142282, 148632, 152573, 154478, 132253, 134413, 138474, 144238, 147852, 149762, 156580, 131188, 133801, 140145, 142060, 147986, 150665, 154859, 132116, 133622, 139410, 144411, 148381, 151846, 155276, 129045, 134378, 139370, 140761, 148045, 152002, 154683, 130321, 136092, 139126, 143068, 148280, 151522, 153759, 132201, 133085, 137467, 142630, 145695, 150854, 155702, 131543, 135608, 136576, 142533, 145973, 152641, 152952, 131397, 133952, 139059, 144360, 146876, 150854, 153615, 128893, 134948, 137519, 143602, 148453, 149794, 155292, 131667, 136039, 140189, 142934, 146886, 149162, 153276, 131035, 133498, 137213, 144182, 145807, 151009, 154870, 129200, 132655, 138074, 144108, 144726, 150208, 156572, 131670, 134951, 137732, 143150, 145434, 151866, 155650, 129273, 136185, 139578, 143619, 145387, 151580, 152872, 130296, 132729, 138693, 143902, 146700, 152739, 152955, 129045, 134485, 136493, 143350, 147545, 148909, 155690, 131447, 133573, 138435, 140889, 146653, 151192, 156483, 131397, 132369, 138166, 142077, 147290, 150555, 153306, 131543, 134665, 139213, 141403, 145875, 149110, 154411, 129738, 133146, 138067, 141364, 146840, 151753, 153101, 131188, 135125, 139622, 143652, 145593, 150222, 154363, 132193, 134795, 137106, 141763, 148396, 151223, 156718, 129423, 133568, 139925, 142440, 146191, 149962, 153727, 130096, 133439, 138773, 143183, 146008, 152627, 153417, 128652, 133263, 138415, 143203, 148657, 152472, 156218, 128812, 132376, 136610, 141589, 145517, 152637, 155659, 131188, 133407, 140486, 143696, 146432, 152705, 156117, 131409, 134799, 136608, 141455, 147994, 152505, 156039, 128969, 134379, 140359, 143712, 147382, 151522, 156644, 131188, 133206, 137972, 143788, 148371, 152691, 154181, 129667, 132759, 137226, 143082, 146461, 151189, 156472, 131778, 133011, 136957, 144445, 148450, 149404, 154111, 131652, 134440, 136515, 140660, 145208, 149785, 156062, 131044, 133524, 137152, 144069, 145411, 151726, 155800, 131886, 135443, 139011, 141058, 146566, 151881, 153595, 130929, 134102, 137619, 142856, 146870, 150726, 156590, 128258, 128262 ]

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

[ 128259, 128000, 60908, 106527, 5769, 75, 14320, 120800, 46937, 37947, 30528, 11, 119772, 5320, 106472, 104268, 108569, 11, 58112, 105039, 15606, 259, 2448, 8301, 258, 13835, 3067, 8941, 9700, 127318, 113613, 15606, 33054, 29856, 359, 122822, 108497, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 152997, 129322, 133676, 139337, 142284, 145967, 152130, 153089, 128956, 132494, 137814, 141531, 147239, 150703, 154648, 131397, 133746, 139127, 144484, 145120, 149531, 152854, 129718, 135904, 140040, 142760, 145298, 151590, 154879, 131731, 132945, 138651, 141523, 145906, 151413, 153833, 132103, 135214, 139598, 141058, 147682, 152637, 155294, 132193, 133339, 137521, 144402, 145687, 151884, 155500, 131667, 133555, 137767, 142510, 145251, 152580, 154486, 128956, 136197, 137750, 143369, 147239, 149987, 156169, 131543, 134598, 137129, 143862, 147431, 151290, 153830, 129718, 133231, 140115, 141811, 148504, 152006, 154333, 130223, 134742, 138851, 141905, 147720, 151595, 153298, 128850, 134573, 139832, 142337, 146651, 152326, 156267, 131397, 134848, 139162, 140626, 147029, 152318, 155346, 129575, 134337, 139942, 143572, 145803, 148785, 156877, 131397, 135458, 140040, 141602, 147406, 151913, 153473, 131188, 132495, 138385, 141238, 148192, 152773, 155070, 129385, 135665, 137363, 141867, 144953, 151840, 152854, 131543, 135211, 138526, 144335, 148198, 151945, 156388, 128557, 134458, 138759, 141517, 148106, 151666, 154288, 130223, 132865, 137049, 144589, 146159, 151879, 153715, 131397, 132521, 137375, 144458, 145775, 151888, 155639, 128557, 136370, 137941, 140685, 148262, 151037, 154683, 128956, 132844, 140533, 143741, 147541, 149226, 153573, 129552, 133806, 139026, 143056, 144783, 152809, 155537, 129937, 135556, 138459, 142068, 146815, 148920, 155390, 129012, 132962, 138435, 141846, 148437, 151823, 153487, 131188, 136076, 140538, 142936, 147379, 152562, 155636, 129106, 134741, 139718, 141447, 144826, 150945, 155726, 129273, 135880, 137861, 141275, 145596, 152162, 156154, 131763, 134940, 137176, 141109, 148010, 152173, 155984, 128652, 132559, 138855, 141698, 148437, 152806, 155741, 131625, 135229, 138830, 144269, 148350, 150123, 154425, 130362, 133868, 137099, 142691, 148424, 149508, 156376, 129552, 132554, 137558, 142892, 146901, 150287, 153178, 129542, 132494, 138222, 141589, 147731, 152477, 153499, 131397, 135706, 136894, 142722, 145556, 150751, 153445, 131530, 135637, 138089, 143372, 144977, 150803, 154951, 131188, 136267, 137176, 143484, 145177, 151637, 154639, 131738, 136161, 138443, 141869, 148518, 152637, 156699, 131397, 136251, 138331, 143604, 145365, 148946, 156005, 130847, 132865, 137557, 144457, 148601, 150339, 156176, 132201, 133125, 137242, 141299, 146732, 152637, 155228, 131397, 135689, 139799, 142393, 147000, 152714, 156810, 128956, 135237, 140445, 142363, 145541, 151108, 154276, 130971, 135436, 139989, 141894, 147846, 148835, 153665, 128960, 134637, 136970, 141377, 147100, 149569, 156886, 130013, 132982, 137915, 142324, 145188, 151562, 154842, 131223, 133776, 136792, 144528, 144871, 152668, 153400, 129070, 134682, 138661, 141003, 148091, 148761, 155875, 129188, 132525, 138641, 142007, 145571, 150192, 152988, 128750, 132780, 137548, 143610, 148051, 152231, 153549, 132240, 134989, 136995, 142651, 145516, 148963, 154778, 129045, 132890, 137303, 142169, 147059, 152737, 154973, 132265, 132510, 139496, 143852, 145178, 151763, 156667, 128555, 135825, 137218, 140680, 148660, 152786, 155318, 128634, 133817, 139476, 140651, 145695, 149843, 153722, 128969, 134862, 138200, 144482, 145709, 151907, 153344, 131123, 135637, 138910, 141530, 147814, 150131, 156365, 131397, 134733, 139416, 143508, 147359, 148991, 152900, 129813, 134036, 139910, 143396, 147099, 152101, 155207, 128584, 134878, 138587, 144010, 147228, 149425, 156183, 128634, 134623, 137958, 144504, 145646, 152010, 156022, 129667, 135358, 137323, 144139, 148372, 149348, 153812, 131104, 136292, 139857, 141954, 148580, 152051, 155762, 128889, 135811, 136541, 142214, 145805, 150032, 156272, 130829, 136397, 140150, 144093, 148437, 149997, 156200, 131397, 135796, 139340, 144065, 146438, 151114, 156641, 131543, 132941, 137825, 142017, 148084, 151515, 156724, 129496, 135442, 139688, 144504, 147730, 150247, 155426, 131543, 135229, 138393, 143150, 146094, 152579, 154198, 129055, 132613, 138268, 141263, 146802, 151501, 154040, 131654, 135926, 140262, 144639, 147283, 151681, 153751, 130878, 133962, 137578, 144639, 146106, 150185, 155534, 128592, 133840, 140057, 142773, 146324, 148996, 153910, 130412, 133544, 136772, 141838, 145748, 149241, 155580, 132193, 133228, 138676, 141189, 145681, 152714, 155054, 131667, 135792, 140251, 140614, 146587, 150188, 156732, 128339, 132543, 137587, 143524, 144942, 151784, 155984, 131288, 132660, 137939, 140820, 148106, 150131, 154634, 128956, 136161, 140465, 142600, 148437, 151577, 154240, 129106, 134000, 138774, 144594, 148646, 152451, 156230, 131447, 133524, 138706, 144237, 148713, 149568, 153839, 128945, 133305, 139966, 142159, 147137, 152126, 154170, 128956, 132889, 139309, 141341, 146577, 149090, 155256, 128969, 134332, 137350, 142518, 148424, 152394, 153211, 129045, 134160, 138276, 143104, 146709, 150114, 156828, 132103, 133985, 137523, 141322, 145924, 149332, 155435, 128606, 135763, 137356, 141455, 144907, 150742, 152881, 131188, 136047, 138038, 142814, 145776, 148842, 153004, 128652, 135904, 138985, 143122, 144763, 150146, 155936, 131397, 132728, 136491, 141840, 145748, 148946, 154635, 129667, 134508, 140242, 141632, 147487, 151196, 153542, 131826, 135237, 136658, 144274, 146019, 148896, 156535, 130427, 136189, 137359, 144182, 145550, 152525, 153397, 131421, 133091, 140231, 142649, 146112, 152161, 155466, 130641, 132447, 137783, 143702, 148589, 152134, 155634, 130928, 132949, 139834, 140779, 144954, 150322, 156216, 128557, 135606, 137154, 142464, 147371, 150102, 156743, 131543, 136344, 136810, 140714, 147944, 151292, 153851, 132172, 136385, 139239, 143449, 144907, 149000, 153068, 131318, 135112, 138459, 141899, 146068, 150028, 155822, 132028, 133091, 140513, 142100, 147210, 152718, 154165, 129221, 132516, 138681, 141488, 145812, 149552, 154410, 130591, 133537, 139416, 141128, 148383, 149908, 156430, 128258, 128262 ]

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

[ 128259, 128000, 51, 68038, 3862, 2329, 14966, 109512, 110569, 106251, 8093, 1048, 91825, 16507, 100693, 55295, 258, 379, 727, 79691, 108398, 384, 2554, 115391, 102928, 102128, 22924, 2963, 318, 6729, 4538, 112023, 112814, 15606, 102265, 83000, 107347, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 131529, 133318, 139880, 142122, 147076, 150041, 155746, 128804, 136166, 137949, 143715, 146840, 149988, 156249, 128339, 135347, 136507, 140668, 146002, 150181, 154278, 129045, 135804, 136676, 142827, 145781, 149523, 155537, 128956, 133323, 137892, 142434, 144813, 151291, 155921, 129045, 134333, 140507, 143358, 145847, 151356, 155487, 131447, 136062, 137575, 144434, 146580, 152427, 154880, 128969, 134422, 139732, 143712, 145104, 149121, 156903, 128634, 135200, 138513, 140620, 147359, 149529, 156004, 131421, 135594, 137744, 143089, 147253, 150978, 152919, 131619, 135626, 139989, 143963, 145062, 150585, 154611, 129937, 132472, 136616, 142625, 147194, 152718, 155185, 131619, 133388, 137007, 142395, 147953, 151014, 155491, 128669, 133790, 137087, 142132, 148104, 152228, 156517, 128634, 134965, 140461, 141889, 147136, 149932, 156393, 129644, 134811, 136491, 142333, 146302, 149773, 156505, 131397, 135071, 139266, 142630, 147359, 149341, 156810, 131667, 136161, 137158, 144623, 144725, 152561, 156824, 130204, 132664, 138994, 142647, 146077, 152603, 154152, 129575, 134458, 137226, 143243, 146923, 149078, 153067, 129045, 136108, 137934, 141952, 145434, 150080, 156551, 129738, 134653, 137440, 142674, 147361, 151010, 152934, 128956, 133971, 139996, 141591, 145723, 151499, 156197, 130881, 135873, 139712, 142803, 148133, 150418, 156900, 129496, 135566, 138060, 142482, 145815, 149149, 155373, 131397, 135503, 139883, 142361, 145242, 151083, 156370, 129813, 136297, 138960, 143979, 147487, 150658, 153337, 131104, 135126, 139369, 142368, 146874, 148927, 152895, 131328, 134586, 137585, 141512, 146382, 151562, 154314, 128437, 136454, 140005, 140566, 145183, 149553, 154412, 128634, 135377, 139349, 143885, 147791, 152610, 154595, 131104, 136039, 140282, 144083, 148147, 151074, 154657, 129572, 135197, 136621, 143970, 146564, 149418, 156173, 129738, 134811, 138980, 143150, 146030, 152620, 153835, 130124, 134444, 139414, 141347, 147233, 152748, 155738, 131341, 136409, 136766, 143885, 148449, 150311, 154621, 128969, 134766, 140446, 142801, 144741, 152346, 156534, 131397, 134573, 136848, 144443, 144855, 151603, 153042, 129552, 136136, 140507, 143973, 147314, 152448, 156174, 131543, 133020, 137348, 144319, 146089, 151896, 153036, 131397, 136242, 138522, 142618, 146674, 150810, 154163, 129552, 134138, 137287, 142254, 146473, 149441, 154205, 131704, 133850, 139616, 144051, 146966, 150416, 154522, 130311, 135471, 136498, 143143, 147285, 152615, 154691, 131654, 135285, 138084, 141289, 147930, 150601, 153547, 128969, 132572, 138331, 140628, 148580, 150246, 154288, 129185, 134114, 139291, 142169, 147810, 152482, 155211, 128634, 135573, 139293, 142732, 148437, 151424, 153112, 129667, 135358, 138120, 141975, 146105, 152701, 155814, 131397, 132567, 139133, 142073, 148424, 152736, 153991, 129738, 135147, 136641, 143187, 147029, 148806, 156657, 131543, 135880, 138322, 142607, 148685, 149067, 156864, 129575, 135061, 139411, 141609, 148327, 152154, 156632, 128850, 135377, 139146, 144096, 148334, 149095, 154867, 128555, 135827, 137261, 144029, 147488, 151689, 154332, 130124, 134612, 138158, 141808, 145596, 149718, 156267, 129552, 134951, 140504, 141103, 146269, 151207, 153348, 129116, 133552, 137841, 142546, 145183, 151637, 156046, 128634, 134913, 137053, 143479, 147078, 152501, 156936, 128969, 132494, 137906, 142418, 147541, 151764, 155185, 128634, 136025, 138522, 143652, 146324, 150785, 155238, 128889, 136161, 138200, 141954, 148589, 152458, 155216, 128741, 134573, 137287, 142741, 147777, 150408, 155788, 128634, 136161, 136658, 142618, 147336, 148929, 154781, 129572, 135418, 139717, 140813, 148549, 152637, 153523, 131289, 135443, 137913, 143658, 146249, 151160, 156376, 130490, 133506, 139469, 144357, 145570, 150345, 153843, 131636, 136408, 139485, 144465, 146871, 150695, 154919, 131654, 132665, 139727, 144029, 146031, 152143, 155138, 130321, 132873, 139217, 143178, 148240, 151225, 156543, 131817, 135116, 140451, 142272, 144695, 148968, 154915, 131755, 132927, 136677, 140773, 144729, 151259, 152882, 128634, 135059, 139012, 142556, 147878, 149960, 156236, 128543, 136087, 139790, 142086, 146904, 150529, 153992, 130147, 135747, 138680, 143148, 144864, 151901, 155986, 129756, 133779, 136764, 143694, 148231, 148819, 155953, 128810, 133838, 138528, 143683, 144972, 151347, 153150, 128555, 135214, 137034, 142563, 148380, 151508, 154622, 128812, 136379, 139248, 142153, 147953, 149254, 153875, 131039, 134805, 138972, 141235, 148525, 149619, 154910, 131766, 134094, 136907, 143636, 146372, 152617, 156515, 128956, 136298, 140359, 142178, 146728, 152299, 155230, 128652, 135206, 138767, 143704, 148192, 151543, 153392, 131447, 132369, 136667, 144526, 147824, 150052, 153326, 131039, 133876, 138937, 142362, 147905, 150157, 154899, 128584, 135626, 138949, 142127, 148610, 151549, 154959, 131114, 134413, 136598, 142255, 146124, 149432, 155253, 131625, 133407, 140164, 141692, 147834, 151118, 155300, 131397, 132455, 138490, 144630, 144810, 152472, 156074, 132042, 136039, 140264, 143449, 145519, 151179, 154436, 131188, 135370, 140264, 142057, 146564, 149977, 154356, 128557, 134384, 139318, 142987, 145193, 150322, 154609, 129667, 132455, 137638, 142928, 146956, 150664, 154768, 128956, 136067, 139429, 142928, 146604, 151335, 154418, 129552, 133064, 137348, 142272, 144664, 152603, 153397, 132172, 133033, 136894, 143788, 146993, 152650, 153397, 128557, 136085, 140160, 141615, 145199, 150700, 156699, 129667, 134692, 138346, 144356, 146800, 150307, 153346, 130892, 133597, 136534, 141994, 147487, 151772, 156754, 130634, 136068, 137271, 141928, 145349, 149569, 156470, 131223, 134595, 139376, 142972, 144804, 152118, 155709, 132028, 135926, 137192, 142388, 148517, 149841, 154509, 128983, 133223, 137984, 144360, 146760, 150628, 153003, 132247, 133318, 136887, 141453, 147259, 151221, 154697, 128258, 128262 ]

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

[ 128259, 128000, 4198, 258, 101564, 1216, 28074, 108391, 15606, 1624, 1609, 120794, 5320, 108391, 15606, 118419, 1604, 13835, 3067, 40528, 352, 119341, 124457, 3067, 58804, 2448, 18244, 100565, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 150314, 154374, 128804, 133103, 138847, 141734, 145041, 151201, 155242, 128634, 135010, 137744, 141183, 145843, 150513, 155716, 129667, 132717, 138357, 142894, 146772, 149071, 156174, 130829, 132374, 138740, 141894, 145298, 151014, 154972, 131244, 134142, 139349, 143943, 146729, 149578, 154527, 129273, 132890, 139847, 144504, 146755, 149263, 154606, 128634, 136195, 137607, 143708, 145387, 149204, 156720, 131035, 133324, 138394, 141647, 146269, 150876, 156565, 131821, 136126, 136792, 142375, 145153, 151795, 153882, 128634, 132865, 139751, 141824, 145153, 151115, 156072, 129572, 135864, 136692, 143943, 145545, 150719, 152925, 128889, 133403, 137474, 140946, 147496, 149158, 155997, 132193, 134422, 139227, 143761, 146540, 150937, 155033, 129012, 134315, 138790, 144457, 147198, 150696, 153349, 129738, 136025, 139688, 142212, 146840, 152051, 156135, 131625, 135316, 140534, 141833, 148097, 149790, 153604, 129106, 133612, 139376, 142507, 145434, 151435, 155184, 131778, 132708, 138648, 140813, 148380, 150191, 153464, 129185, 135863, 139289, 141841, 145494, 149110, 153234, 131104, 133403, 138588, 141115, 146425, 151566, 153989, 128634, 133237, 138703, 142845, 146281, 151299, 154880, 128652, 135904, 138927, 141118, 146737, 152261, 155008, 128945, 134940, 139328, 143788, 147636, 152528, 155157, 128652, 134217, 137003, 141579, 147914, 151597, 155565, 129185, 135253, 138688, 142685, 147166, 152831, 155666, 130427, 135626, 140184, 144232, 145128, 149413, 155936, 132098, 133382, 136935, 141055, 146068, 151475, 156449, 129552, 134613, 138553, 140558, 148562, 149204, 154621, 131667, 136039, 136652, 143646, 147783, 152586, 156246, 129708, 135763, 139462, 144413, 147488, 148748, 153739, 130079, 133519, 138833, 144212, 146392, 148863, 155166, 129575, 132374, 140364, 144395, 148043, 151955, 155744, 131884, 135312, 139091, 143923, 145929, 149017, 153874, 128945, 132835, 139670, 141899, 145941, 149627, 155181, 129045, 134878, 140037, 141691, 144830, 150947, 156331, 129738, 132504, 137350, 143923, 147370, 151219, 153257, 129308, 135317, 138973, 144195, 145801, 149986, 154634, 131625, 133146, 139247, 141609, 145434, 149771, 155666, 129106, 134773, 138711, 144543, 147782, 152117, 156777, 131778, 132554, 138786, 141500, 147981, 150822, 153618, 130772, 134872, 140530, 142718, 147702, 151806, 154288, 131104, 135911, 138394, 142923, 146425, 152387, 154364, 128652, 134878, 138647, 141987, 147054, 149802, 154140, 129667, 133275, 139980, 144069, 145253, 150035, 153042, 129116, 136111, 137350, 141594, 148710, 151978, 156900, 131453, 134094, 139077, 141928, 147791, 152361, 155028, 131014, 135621, 136816, 143717, 148393, 148974, 154896, 128634, 136064, 139569, 144296, 148313, 152681, 154044, 131104, 136064, 136967, 142000, 147658, 151296, 153838, 129045, 134076, 139302, 144504, 147383, 151406, 156784, 131397, 133358, 138243, 143869, 147894, 151190, 153278, 131104, 134476, 140361, 142651, 147029, 149446, 155089, 131014, 136387, 139432, 141329, 146409, 150618, 154570, 131103, 136062, 137510, 142001, 145519, 152331, 155511, 131397, 133068, 139100, 144083, 145263, 152834, 155996, 128652, 135665, 137490, 142618, 144826, 149786, 155902, 129924, 135806, 138408, 141451, 147498, 152732, 156762, 129045, 134377, 139008, 144296, 147944, 149883, 152880, 131238, 135261, 139216, 142591, 148696, 149716, 156764, 131014, 136428, 137032, 142119, 146625, 150315, 153300, 131397, 132962, 138786, 142706, 144855, 149896, 153017, 131543, 135880, 139432, 143187, 147000, 152326, 155531, 129045, 133976, 138653, 143346, 148718, 149445, 156641, 131397, 133755, 138777, 141063, 147525, 151014, 153189, 129045, 132369, 138610, 140913, 147211, 148842, 154411, 130124, 132376, 137525, 142333, 148437, 150810, 154484, 128652, 135689, 137991, 144411, 145721, 149245, 153090, 131397, 132972, 137832, 144192, 145263, 150322, 154760, 131543, 136185, 138569, 143875, 145185, 149514, 155275, 131670, 133226, 139353, 141910, 147436, 152125, 153335, 128956, 136189, 137075, 141827, 148724, 152019, 155636, 130892, 136120, 136935, 142275, 146799, 151609, 155737, 131505, 135495, 140427, 143994, 145349, 149664, 153993, 132239, 135145, 140261, 143911, 145419, 152021, 154318, 129243, 133962, 137589, 141710, 144937, 152649, 153722, 130929, 135497, 139416, 143512, 146771, 149793, 153283, 128258, 128262 ]

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

[ 128259, 128000, 56, 483, 409, 103248, 579, 112806, 15606, 119341, 12069, 72, 108497, 5320, 104552, 2448, 110693, 359, 3209, 5320, 102983, 11099, 5308, 15606, 602, 95948, 113950, 4355, 121952, 5641, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 145606, 150047, 154597, 132328, 133766, 138894, 144487, 148103, 150199, 156515, 132265, 136320, 139806, 141916, 145503, 151953, 154175, 129667, 133832, 136658, 143595, 145676, 151096, 156604, 131826, 132691, 137074, 142030, 148614, 151911, 153915, 131821, 133993, 137993, 143369, 145006, 150912, 154528, 130321, 135018, 140257, 142609, 147490, 149224, 153342, 129813, 132975, 136911, 141063, 148413, 151535, 153243, 129718, 134217, 139633, 141270, 145162, 150077, 153101, 129045, 134811, 140055, 142307, 148364, 151130, 156203, 128634, 134404, 136990, 142566, 145177, 151014, 155217, 131397, 134266, 138106, 142342, 148449, 150803, 156831, 128850, 134951, 138038, 144319, 144972, 152536, 155314, 129813, 134949, 136717, 144285, 145762, 151666, 153210, 131397, 133641, 136973, 141791, 148199, 151855, 153359, 128634, 132829, 140421, 141595, 147494, 149418, 154824, 128652, 136076, 136975, 141368, 148437, 149477, 156140, 129045, 132369, 136823, 142237, 146670, 152470, 153419, 131039, 132771, 140087, 140874, 146283, 148782, 155227, 128945, 135904, 137744, 144029, 145218, 150322, 153813, 131028, 133608, 136907, 143511, 148541, 149373, 156251, 128634, 134741, 138980, 141587, 147762, 150492, 155547, 128652, 136369, 139813, 141383, 148437, 150444, 153473, 128956, 132487, 139690, 144411, 147024, 148950, 154421, 128557, 133460, 138972, 143012, 145106, 152649, 153954, 131188, 134992, 140237, 143580, 147736, 152719, 156160, 131543, 135185, 139410, 144090, 147519, 149258, 154613, 128945, 133587, 139417, 141665, 145220, 149845, 154418, 131341, 134651, 139964, 141109, 147166, 152605, 156132, 131188, 132889, 137958, 141254, 147791, 151004, 153483, 128627, 134825, 137846, 141133, 148267, 148912, 156733, 129092, 134590, 139085, 143449, 148686, 152719, 156855, 131188, 136161, 139376, 143964, 146358, 150525, 155307, 132098, 133839, 138377, 141320, 148601, 148780, 153060, 131188, 135933, 139606, 143419, 148209, 151811, 153573, 129667, 133952, 139378, 143223, 148217, 150738, 155029, 129708, 132510, 139401, 140587, 145505, 150318, 154438, 130440, 135074, 139733, 142146, 146816, 151656, 156708, 131397, 136039, 138158, 143814, 148119, 149975, 156934, 131333, 135569, 139954, 144322, 147210, 151945, 156117, 129280, 134512, 139916, 142433, 148381, 151200, 155574, 129667, 134536, 138775, 144378, 145864, 149476, 156019, 131328, 136257, 137263, 142440, 145948, 150409, 153060, 130096, 136365, 137920, 141427, 148368, 150730, 154147, 129045, 133407, 139476, 142490, 144972, 149883, 154202, 129340, 133850, 139817, 142631, 146589, 149820, 156337, 130881, 136385, 137974, 142158, 145843, 151107, 153425, 128741, 132619, 139068, 143164, 144713, 151689, 154388, 130892, 133061, 137996, 140750, 147015, 149289, 154128, 129667, 132909, 139325, 141137, 145114, 149289, 154656, 129756, 133199, 138272, 143692, 147400, 149067, 155196, 131447, 134498, 137920, 142809, 144662, 150835, 154237, 131288, 132826, 138225, 144259, 146454, 149618, 153259, 128969, 133045, 138861, 142467, 145670, 152409, 153340, 128634, 132461, 139660, 142395, 145695, 152306, 155193, 130223, 132444, 137001, 142784, 147646, 149335, 155631, 129116, 132890, 139360, 143389, 147958, 152787, 153029, 128969, 133868, 139704, 144029, 144948, 149491, 154652, 132146, 133993, 138428, 144220, 147009, 148821, 155498, 130796, 135790, 137804, 143654, 145527, 151525, 153687, 129738, 133077, 139570, 142368, 146600, 149375, 153477, 131397, 135990, 137772, 143067, 145263, 150320, 156000, 128557, 135910, 137934, 141233, 147029, 150187, 155790, 130223, 132658, 136748, 140904, 147844, 149534, 155860, 131397, 132726, 140368, 142399, 145771, 151062, 156443, 129552, 133305, 139799, 140993, 147109, 151373, 152861, 131397, 135071, 139240, 142782, 145193, 149655, 153341, 131409, 133945, 140354, 144411, 146110, 149047, 154052, 130223, 133240, 137625, 141542, 147810, 149058, 153397, 129552, 136307, 139972, 142130, 145193, 149686, 154418, 131667, 132911, 139988, 142937, 148353, 150979, 156629, 128330, 133548, 136817, 142421, 146182, 150364, 154283, 128945, 134285, 137821, 144257, 146851, 151937, 156427, 128877, 134771, 139714, 144553, 146773, 151402, 156699, 130178, 135954, 136473, 142511, 146106, 150329, 155936, 132028, 135443, 137299, 140650, 148214, 149254, 156814, 128868, 133353, 137384, 141293, 146386, 150511, 154945, 128258, 128262 ]

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

[ 128259, 128000, 105812, 1394, 103137, 55809, 275, 2727, 102082, 355, 101294, 104866, 98659, 26693, 18578, 24823, 3862, 14115, 103113, 102918, 104552, 120464, 264, 1169, 102645, 15907, 101611, 120578, 34271, 45356, 10946, 3862, 18244, 1394, 597, 101393, 297, 9964, 127733, 15104, 59317, 43029, 751, 100973, 20693, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 152997, 132151, 135924, 140287, 144333, 145285, 148796, 155967, 128634, 134342, 137645, 142566, 148256, 151360, 156214, 129423, 134497, 139373, 143436, 144813, 149146, 154187, 128520, 133347, 138820, 142918, 147939, 149597, 154958, 129738, 132981, 138250, 142871, 148545, 151145, 154556, 131000, 133147, 137276, 142624, 144786, 151014, 156676, 130964, 135180, 138394, 144175, 145178, 150477, 156534, 131039, 132700, 136513, 141634, 148574, 149266, 155105, 130641, 133085, 139637, 142191, 146059, 151309, 153170, 131104, 135369, 137264, 142776, 148585, 152470, 152849, 130124, 134231, 139145, 144289, 147494, 149801, 154717, 130223, 135665, 139471, 142918, 147953, 151356, 153079, 128969, 135229, 140355, 142373, 148275, 149734, 155599, 132193, 133597, 138721, 143800, 147915, 149026, 155763, 131397, 133228, 138409, 143749, 146240, 148940, 155613, 131035, 135921, 137660, 144269, 146674, 150474, 155271, 130164, 134811, 138766, 142254, 147117, 152114, 156890, 131035, 135896, 139971, 143309, 148424, 152688, 156584, 131821, 134448, 139309, 143734, 147994, 150167, 156236, 128754, 134613, 137803, 141069, 146732, 148806, 153036, 132253, 132542, 139229, 143323, 144988, 149338, 155600, 129644, 136159, 138468, 141655, 146094, 151961, 154550, 131530, 134484, 138462, 142137, 146382, 151133, 155808, 129496, 134741, 137590, 142360, 145153, 149111, 156267, 132106, 134525, 138659, 142608, 147093, 148951, 156439, 128945, 136096, 139129, 142916, 145740, 151090, 156534, 132106, 135811, 136475, 142262, 146625, 151147, 156499, 131670, 133466, 136694, 143723, 147359, 151569, 154250, 132106, 135185, 138175, 142475, 145593, 152731, 155392, 130282, 135921, 137723, 140851, 148736, 152747, 156390, 131530, 134417, 138867, 142127, 146281, 149591, 156881, 129552, 135665, 138707, 140572, 145158, 149194, 154754, 129575, 136046, 136794, 143917, 147166, 149326, 154611, 131447, 133382, 137301, 141356, 146773, 152719, 154511, 128555, 135442, 139312, 141434, 145839, 148803, 154713, 128945, 132784, 138037, 141978, 148334, 151200, 152905, 128555, 133010, 138126, 143565, 147201, 149320, 156853, 131826, 136446, 137446, 142625, 144663, 152409, 156676, 132076, 132588, 139255, 143718, 146965, 152226, 155456, 132259, 134422, 139100, 143155, 145516, 151110, 156178, 130854, 134737, 137198, 142845, 144994, 149462, 154377, 129292, 133771, 138186, 142502, 145123, 152548, 153222, 128557, 134076, 137646, 143508, 145434, 151218, 156632, 130418, 135880, 137241, 143107, 145177, 151806, 155992, 131397, 133407, 138070, 140955, 147945, 151790, 155800, 130223, 133524, 137037, 141463, 147502, 151508, 153364, 131188, 135626, 139612, 143835, 148424, 150991, 154502, 129813, 133324, 139861, 143224, 147763, 149729, 154754, 132116, 133326, 136702, 140772, 146476, 148886, 155942, 129813, 136093, 137343, 141515, 148449, 150067, 153784, 129756, 135071, 138456, 144500, 148663, 150841, 154040, 132098, 134731, 139944, 143522, 146435, 148968, 153898, 131188, 133305, 139967, 142592, 147541, 152255, 156869, 129589, 134252, 137889, 143351, 145132, 150764, 155362, 131104, 135197, 137645, 143292, 148650, 152452, 154635, 131606, 133371, 138858, 142501, 147585, 148833, 156396, 131821, 136112, 139194, 142581, 145413, 148802, 152910, 129667, 135884, 137474, 143123, 145183, 151248, 154416, 129552, 134138, 137239, 143757, 145494, 152602, 155634, 131817, 133741, 137977, 140720, 144943, 151703, 156827, 128969, 132877, 139540, 143747, 147939, 149801, 156676, 129693, 133713, 139514, 142824, 144900, 150409, 153841, 129667, 135358, 138360, 143056, 148725, 150552, 153634, 131543, 132494, 139694, 144212, 147115, 150636, 154826, 128683, 135588, 140179, 143693, 145057, 151174, 154388, 131700, 135226, 137435, 142132, 146756, 152410, 156490, 129286, 133912, 138382, 144237, 147852, 151667, 156385, 131397, 133817, 138409, 142505, 147791, 151941, 155344, 130368, 135221, 136518, 142596, 148152, 152620, 152947, 131926, 135748, 140278, 140583, 145070, 151408, 155419, 130457, 135871, 139241, 142076, 148221, 150888, 153128, 129575, 133618, 137557, 141118, 147320, 151764, 155237, 130244, 136161, 140123, 144096, 148168, 149595, 155356, 131397, 136161, 139012, 142741, 144694, 150974, 153182, 129126, 136297, 136914, 142952, 148597, 149568, 154356, 132151, 134472, 138340, 141891, 146386, 150232, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 140709, 148068, 149683, 156819, 130221, 136440, 138706, 144192, 146993, 152737, 155274, 130816, 132548, 138385, 141016, 147925, 150936, 156661, 131652, 134185, 137655, 143706, 147757, 149781, 156703, 129621, 134584, 136959, 140971, 145110, 151992, 155294, 128714, 136039, 138504, 141071, 145243, 151141, 153023, 131023, 134142, 138119, 140735, 146838, 150905, 152866, 131967, 135470, 139736, 140578, 147962, 151434, 153421, 131417, 135202, 139613, 142097, 147842, 151188, 156519, 131164, 134525, 139203, 142505, 145754, 150401, 156070, 131126, 136213, 137262, 142949, 145556, 150080, 153128, 131870, 135579, 140257, 142434, 147298, 150555, 153825, 128956, 135864, 139870, 140563, 144745, 150014, 153931, 129423, 133711, 138761, 142839, 146111, 151337, 153962, 131778, 134538, 140478, 143068, 146286, 148841, 156592, 129496, 132471, 140236, 141372, 145005, 149531, 155150, 130085, 132769, 140421, 142276, 147298, 151796, 153220, 130296, 136181, 136633, 142609, 145753, 152655, 156493, 131188, 134388, 139637, 140946, 145695, 148828, 153534, 130096, 136406, 138624, 144494, 148514, 151705, 155435, 129667, 135148, 137310, 141223, 147359, 151086, 155346, 131039, 133156, 139541, 142624, 144838, 152375, 156755, 130321, 134218, 136907, 143643, 147969, 150841, 154544, 128956, 135591, 137013, 141197, 146084, 151431, 154093, 128354, 134440, 139057, 143666, 147610, 150514, 153830, 130552, 133901, 137647, 142475, 147568, 149881, 154724, 132151, 134393, 137411, 142165, 148212, 149288, 155469, 128258, 128262 ]

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

[ 128259, 128000, 22404, 6780, 409, 342, 12635, 78587, 102739, 297, 101400, 2448, 104998, 109452, 101766, 101813, 126244, 72848, 107718, 102851, 102942, 53271, 597, 4852, 75437, 15627, 274, 38511, 2438, 569, 3862, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 146386, 152168, 155200, 128868, 135780, 137275, 144012, 147914, 149785, 156169, 128439, 136038, 139017, 141248, 145280, 150651, 155733, 129644, 136185, 140295, 144016, 148350, 152565, 153162, 130847, 135757, 139637, 142720, 146623, 152389, 155770, 130751, 133086, 139904, 141840, 147056, 149506, 156371, 128639, 135591, 139894, 141058, 147810, 148779, 153255, 132232, 133010, 138381, 143588, 145298, 152497, 156769, 132193, 135656, 138328, 143947, 147211, 150541, 153042, 129106, 136138, 136643, 144308, 145943, 152522, 153304, 130979, 135407, 137185, 143301, 147786, 150716, 156835, 129286, 134411, 136640, 143965, 147730, 150684, 153254, 132106, 132826, 138972, 142300, 147730, 152727, 155960, 131039, 134613, 136964, 141542, 147339, 148856, 156934, 131397, 135474, 140462, 143397, 145430, 149329, 155954, 129813, 132630, 140245, 142648, 146441, 149839, 156380, 129717, 133215, 138318, 143020, 146331, 152786, 153149, 130336, 134967, 137121, 144263, 148224, 149522, 154515, 129185, 132372, 138102, 143649, 145354, 152803, 153473, 131397, 133324, 138749, 143775, 145298, 151062, 156098, 129116, 134805, 136916, 144059, 145183, 151759, 155170, 128634, 132567, 139608, 143222, 146526, 149512, 156657, 129116, 134805, 138931, 141103, 145612, 149522, 156331, 129273, 134811, 139620, 143450, 147509, 151784, 155195, 131014, 134121, 138428, 142026, 144916, 148761, 154177, 129667, 135276, 137119, 140748, 145123, 150788, 155591, 131397, 134138, 139378, 144026, 145551, 151538, 154071, 131039, 134258, 138937, 140888, 145218, 149913, 156471, 131214, 134267, 138508, 142395, 145387, 150755, 155315, 131821, 132684, 138322, 142745, 144972, 150610, 153049, 128555, 135556, 137870, 144484, 147015, 150539, 155285, 128652, 133488, 137652, 140610, 147914, 151667, 155636, 129767, 132369, 139622, 144280, 144657, 151268, 154275, 128779, 136084, 137595, 141077, 148311, 150182, 155263, 131397, 135893, 138982, 142531, 145162, 149813, 156932, 130223, 134138, 138038, 142134, 147932, 152387, 156255, 131447, 136454, 139981, 143614, 144669, 151342, 154254, 128634, 132422, 137139, 141663, 148352, 152826, 153904, 132098, 132567, 138288, 141427, 146554, 150355, 154305, 129813, 134043, 140442, 140610, 147109, 151793, 155912, 129667, 135811, 140189, 143783, 147763, 152610, 153254, 132193, 132572, 136765, 144581, 147444, 151865, 155759, 129667, 135148, 139664, 144522, 148099, 152140, 153872, 131821, 136064, 139505, 142558, 146959, 151282, 156701, 128634, 133993, 138527, 142837, 146171, 151891, 155239, 131039, 135041, 137375, 144131, 145866, 148862, 156157, 131104, 135197, 138182, 143499, 147485, 149236, 155787, 131397, 134861, 139596, 142494, 147791, 150951, 155244, 131543, 134957, 139034, 144539, 148236, 150857, 152931, 131858, 133868, 136568, 141951, 147631, 151242, 156929, 130282, 136385, 139766, 143639, 147047, 151703, 154040, 131397, 132934, 137902, 140569, 144975, 151460, 154111, 130124, 132855, 138193, 142871, 148504, 152718, 153299, 129718, 132909, 139718, 141962, 146957, 150222, 155979, 131543, 135211, 138690, 141994, 148055, 150432, 156681, 131397, 134712, 139883, 144603, 148562, 152441, 153248, 129575, 135861, 138322, 140922, 145349, 150546, 156661, 129045, 134989, 137435, 142078, 146163, 149107, 153287, 130124, 134951, 138033, 142788, 145768, 149536, 154006, 128945, 135415, 138968, 143970, 146802, 150035, 155450, 131397, 135295, 139647, 144344, 146746, 150080, 156805, 131543, 134712, 139147, 143928, 147029, 149481, 156497, 132116, 134857, 138226, 144077, 148012, 152323, 154650, 131397, 133962, 138486, 143006, 146362, 152328, 153281, 129552, 134821, 139347, 144227, 144915, 151132, 155984, 131397, 134312, 139506, 143522, 147052, 149428, 155284, 129552, 133361, 139750, 141332, 147788, 150700, 154216, 129496, 133938, 140412, 142130, 145365, 150700, 156076, 131625, 134712, 139047, 141109, 147435, 152449, 153893, 130457, 133333, 138019, 141997, 148646, 152162, 155215, 131341, 134092, 138656, 141494, 144657, 152637, 154572, 131505, 133132, 136877, 143205, 147861, 152318, 156816, 131283, 135680, 136805, 143274, 146335, 149662, 153003, 132247, 134893, 136887, 140978, 147259, 151343, 154697, 128258, 128262 ]

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

[ 128259, 128000, 32, 1764, 297, 117106, 747, 94382, 101020, 24705, 8093, 102918, 88689, 102324, 108189, 4355, 64010, 91166, 276, 109931, 100376, 13, 650, 1494, 79995, 282, 5048, 89, 112637, 17728, 539, 113340, 17728, 409, 51387, 69057, 486, 11, 110815, 104223, 104223, 21889, 110065, 51387, 28493, 94382, 101020, 24705, 8093, 4355, 104511, 7792, 112705, 409, 8492, 4168, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 142048, 147568, 149925, 156264, 130380, 135252, 140088, 142412, 144874, 151894, 155153, 130591, 135280, 136910, 142987, 148262, 150222, 153822, 129273, 133555, 139526, 142715, 144759, 151086, 156548, 129813, 135495, 137598, 141516, 145243, 152536, 155796, 128893, 134811, 138625, 142214, 147525, 151858, 154942, 130412, 134232, 139947, 142183, 147982, 149059, 153039, 129273, 134712, 138539, 144096, 144946, 152006, 155693, 132193, 134086, 139641, 140618, 146156, 152813, 153139, 128652, 135796, 137392, 141482, 147914, 151069, 154516, 131039, 133132, 137747, 141131, 148456, 152447, 156000, 131188, 135190, 140126, 141012, 147502, 151950, 153984, 128945, 133558, 138918, 141187, 146923, 150309, 156600, 131397, 132717, 139100, 141952, 146787, 151631, 152988, 129273, 134076, 140223, 143741, 148084, 150231, 154067, 129456, 132935, 140170, 142770, 146546, 152293, 153002, 129286, 136049, 139019, 140821, 146813, 150395, 154564, 131397, 135237, 137559, 141875, 147635, 149341, 153357, 131543, 134525, 137734, 140771, 144657, 149451, 154008, 131397, 136161, 139884, 142299, 147359, 151196, 156071, 129045, 134525, 137749, 143161, 148374, 149737, 154007, 131543, 136055, 138074, 142016, 148327, 152401, 155549, 128436, 135579, 139258, 140855, 147799, 152162, 153941, 130336, 133995, 137091, 140790, 145332, 149345, 155463, 128592, 133281, 139704, 142622, 146496, 149730, 155931, 129286, 135845, 137139, 143583, 148149, 152212, 156285, 130124, 133166, 139326, 143167, 145723, 150132, 153735, 129575, 134476, 137336, 143835, 147823, 152192, 152854, 130487, 135588, 138945, 140664, 146561, 151664, 154134, 128956, 132405, 138136, 142775, 146886, 149708, 156547, 129813, 132724, 139938, 141717, 147332, 149511, 156479, 131397, 135237, 139027, 143056, 146813, 150560, 152925, 132098, 135998, 138766, 141322, 147220, 151440, 154650, 131188, 134388, 138839, 142954, 147299, 149420, 155467, 130465, 135686, 136705, 141169, 144914, 148942, 155008, 131397, 134076, 138102, 142630, 148313, 152589, 155517, 131543, 133077, 137876, 143502, 148426, 152719, 156023, 132193, 136305, 137115, 141194, 147864, 148809, 153727, 128592, 135657, 139543, 141607, 145800, 150028, 152908, 128560, 133389, 137075, 142194, 144893, 150265, 156821, 131652, 135964, 139000, 143911, 145393, 150422, 156897, 130178, 135926, 139587, 140783, 146925, 150038, 155800, 130912, 134376, 140260, 141869, 148514, 151757, 155800, 131363, 134593, 137472, 144121, 147100, 151757, 155800, 131158, 133524, 137990, 143507, 145608, 151048, 154927, 128983, 136443, 136619, 142924, 148731, 152575, 153271, 128868, 133025, 136619, 142067, 147259, 151214, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 152997, 132247, 134098, 137753, 143458, 145957, 149086, 154580, 130487, 135358, 140539, 141644, 147730, 150049, 154422, 128694, 135980, 139213, 142097, 147932, 152652, 155942, 131214, 132859, 139194, 141475, 147093, 151239, 155411, 129045, 133010, 138490, 142587, 147077, 151207, 152926, 129496, 133580, 136654, 142104, 148262, 152290, 152988, 129273, 135221, 136811, 144127, 145864, 150711, 154808, 128634, 132488, 140293, 141617, 147659, 150111, 155242, 131035, 132366, 136618, 142546, 148424, 150682, 154930, 130039, 136276, 139943, 143148, 145341, 152813, 154673, 129589, 134521, 138979, 142843, 146426, 151115, 153042, 128634, 134138, 139059, 144521, 146594, 152483, 156122, 129813, 132865, 137555, 141701, 145436, 150999, 156071, 129667, 134508, 137835, 143170, 145197, 150641, 154081, 129116, 135682, 139213, 141455, 147316, 151367, 156599, 132193, 133170, 139986, 144316, 148741, 151768, 153437, 131397, 135693, 137904, 140806, 145864, 152452, 155170, 131035, 134016, 139272, 140813, 148681, 152040, 155398, 132193, 134023, 140261, 141270, 145995, 149004, 156427, 128614, 135755, 137387, 144324, 145106, 150016, 156018, 129045, 134712, 139491, 142929, 146089, 149985, 156180, 129106, 135804, 137102, 142915, 146364, 151328, 154972, 130070, 136242, 138877, 143976, 145868, 150132, 154076, 131826, 132865, 136848, 141510, 146894, 152432, 154303, 129667, 135173, 140503, 143281, 147436, 150191, 154513, 128634, 134406, 137441, 142956, 146067, 148877, 156789, 132232, 135626, 138625, 144218, 147404, 151992, 153851, 129286, 135116, 139019, 141630, 148595, 149496, 156253, 132146, 135069, 137744, 140769, 145895, 152732, 153548, 131397, 135626, 138692, 141063, 147914, 149255, 154755, 131188, 133756, 137106, 143541, 146505, 149391, 154808, 129368, 134436, 140101, 144090, 144658, 149301, 156189, 130838, 134938, 138438, 141873, 148135, 151586, 156257, 131534, 135847, 140025, 143565, 146566, 149587, 153610, 131132, 136062, 137459, 142189, 148200, 149574, 156059, 130998, 136271, 138281, 144184, 147930, 150127, 153340, 132193, 134417, 138266, 143078, 148449, 149899, 154648, 129273, 132895, 140243, 140584, 148595, 149897, 154302, 129378, 133407, 139568, 141146, 145104, 151803, 154571, 131826, 136152, 139215, 144544, 148585, 149334, 154948, 129738, 132949, 136826, 142505, 145237, 152226, 153078, 132193, 134552, 139176, 141277, 145803, 149111, 153133, 130296, 133903, 139215, 143459, 147047, 152505, 156190, 129045, 134728, 138805, 140976, 146216, 150976, 155311, 131036, 136297, 139771, 140697, 146315, 151713, 154557, 131028, 133727, 138602, 140752, 146015, 150083, 155378, 129045, 134951, 137423, 142815, 145197, 149722, 156637, 129385, 132620, 136606, 141593, 145649, 150168, 154390, 131188, 134945, 139866, 140952, 145695, 150953, 156698, 128634, 133360, 137789, 141846, 146673, 152077, 153002, 131104, 136292, 139662, 144630, 148580, 150390, 154083, 128634, 133495, 139133, 141254, 145080, 150177, 153986, 129981, 134311, 138959, 143706, 147444, 149942, 155747, 131397, 135893, 138541, 141665, 147792, 150719, 153870, 128634, 133806, 138481, 143766, 148162, 152566, 154869, 129045, 133146, 138549, 143272, 145943, 151007, 153897, 129575, 135503, 137094, 142500, 145043, 149420, 154679, 129286, 135861, 137781, 144331, 147525, 151491, 155484, 130368, 135504, 137234, 143462, 147792, 152579, 153070, 129735, 134274, 137598, 142690, 146742, 152470, 155046, 129924, 135644, 136893, 141990, 145803, 151757, 153782, 131397, 134552, 139638, 141537, 144939, 149281, 154656, 128557, 133399, 139366, 141149, 148371, 149667, 153785, 131188, 132767, 139286, 142075, 147166, 148927, 154851, 129166, 133132, 138949, 143513, 148449, 150355, 156628, 130641, 136297, 136845, 142095, 148736, 152840, 156510, 132146, 134770, 140012, 142977, 145621, 152494, 156071, 128652, 133148, 139396, 142854, 146409, 152208, 154373, 128634, 136436, 139981, 141859, 146240, 150020, 154991, 130395, 133573, 139853, 143591, 146263, 150516, 153421, 128969, 134278, 139547, 141299, 144654, 150222, 153386, 128652, 134160, 138259, 144296, 145177, 151866, 154050, 130223, 132895, 139265, 141100, 144798, 150120, 152994, 128741, 134951, 137608, 143265, 147665, 151212, 155275, 128850, 134573, 137576, 144398, 147349, 149858, 153960, 130562, 136046, 139500, 140572, 147035, 152650, 153843, 130223, 134217, 139240, 144581, 145695, 152261, 154411, 128741, 134951, 139556, 141195, 147239, 152101, 155273, 128557, 135061, 137075, 141185, 147349, 149858, 152951, 129188, 136316, 138028, 143636, 146400, 148993, 156430, 128945, 133556, 138449, 141998, 147746, 150921, 156369, 129575, 136190, 137830, 144013, 147127, 152194, 155678, 131417, 132695, 137311, 142579, 146589, 149167, 152929, 130094, 135847, 139424, 142503, 145817, 152831, 153388, 132293, 133018, 138407, 144334, 145615, 151883, 154779, 131886, 132480, 137561, 144435, 146843, 149292, 155260, 131529, 133223, 138477, 142810, 147259, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 35, 77891, 2448, 18244, 100542, 305, 8115, 62594, 103137, 43029, 82, 7442, 2779, 104460, 665, 104268, 40528, 352, 125280, 276, 101839, 102982, 102522, 8492, 1263, 84, 11257, 63353, 51387, 7756, 72, 106005, 297, 112806, 122061, 1354, 301, 293, 618, 587, 92833, 5320, 597, 2439, 276, 376, 102582, 359, 115133, 4168, 1072, 13, 128009, 128260, 128261, 128257, 131704, 132537, 137418, 143818, 145525, 151129, 156405, 129045, 134951, 137485, 140791, 144972, 149049, 153620, 130702, 136358, 138196, 143970, 146773, 151307, 155285, 131826, 136424, 137141, 141260, 147588, 151039, 153208, 131104, 135864, 139653, 142744, 146248, 151074, 154651, 129756, 134238, 140143, 142247, 148424, 152002, 154581, 128578, 132846, 139603, 144547, 146505, 149299, 156619, 129273, 135010, 137889, 142461, 148473, 151415, 156211, 131397, 134552, 136740, 144564, 148262, 152403, 156250, 132232, 134138, 140302, 142192, 145178, 151681, 153148, 131821, 132865, 140526, 142559, 145263, 150640, 153874, 130829, 134677, 138467, 143603, 148509, 150491, 153178, 130731, 135334, 137769, 144280, 146394, 148955, 155984, 129124, 135487, 137520, 141625, 148146, 151851, 154254, 130835, 132969, 139122, 142253, 148552, 151340, 155636, 128275, 132766, 138003, 144172, 146655, 149799, 155185, 132193, 133567, 140349, 143044, 145237, 151435, 156632, 129200, 135665, 136658, 142807, 145106, 152718, 156573, 131826, 135070, 137856, 144191, 147635, 151895, 155708, 131397, 132865, 140273, 143185, 146796, 152157, 153936, 129813, 136297, 138823, 141372, 146737, 151924, 152855, 131397, 134811, 136555, 143810, 148158, 148898, 153837, 129496, 133567, 139376, 143266, 147792, 148862, 155272, 130168, 135818, 137368, 144217, 147498, 151103, 154430, 131447, 136153, 138474, 140797, 147791, 150638, 153697, 130223, 133558, 139396, 142381, 148055, 150416, 153892, 131543, 133146, 137889, 144630, 147509, 151753, 154128, 132098, 136343, 140444, 144509, 145153, 149392, 156253, 132193, 136185, 136514, 141875, 145387, 149708, 155009, 129667, 134508, 137388, 140637, 148108, 149408, 155041, 131341, 135636, 138110, 141843, 147731, 149317, 155137, 128339, 133636, 139316, 142571, 145919, 152232, 153727, 132193, 134999, 136618, 144553, 147351, 150358, 156837, 131103, 135048, 140186, 140673, 145687, 149026, 156011, 130282, 134546, 140066, 142240, 147810, 152321, 156293, 131397, 132865, 140223, 141913, 144745, 150311, 155724, 132098, 132700, 138726, 141998, 145444, 152300, 154128, 129116, 132865, 139847, 143324, 145153, 149786, 155243, 128634, 136064, 139364, 143923, 145387, 149362, 155894, 130321, 135009, 139374, 143513, 147724, 149811, 154283, 131223, 133636, 136462, 144151, 145342, 150261, 156893, 131447, 135164, 139083, 142384, 145292, 152255, 155170, 131821, 133004, 136856, 142505, 145750, 151603, 153623, 129667, 135747, 138761, 142857, 145805, 151530, 153864, 131104, 133199, 137158, 143026, 144994, 151577, 154020, 131397, 135071, 139576, 143222, 144657, 151865, 155537, 131530, 135677, 137269, 144029, 145059, 152637, 155105, 128634, 132865, 137889, 140861, 148255, 148892, 153170, 128437, 135317, 137832, 142126, 147013, 152409, 154479, 131397, 133407, 140320, 142845, 145153, 151377, 153036, 130487, 135994, 138773, 143309, 146967, 152162, 154690, 129496, 134525, 137547, 141632, 146921, 151247, 156726, 129045, 136064, 137184, 142714, 147914, 150592, 155770, 132098, 133586, 139508, 140660, 148352, 150355, 154834, 129813, 132975, 139039, 141248, 147359, 149638, 156658, 130847, 132865, 136495, 141170, 147914, 150408, 153694, 131447, 134365, 137029, 141341, 145434, 151933, 153312, 131397, 135910, 137779, 142279, 147599, 152254, 152900, 131543, 132369, 138027, 140969, 147031, 148804, 155408, 129286, 132826, 137218, 144546, 146576, 152536, 152963, 131397, 135504, 138693, 142276, 148449, 151604, 155700, 131860, 135880, 136541, 142638, 146576, 150730, 153434, 131397, 136161, 137856, 143325, 145556, 149840, 153207, 132193, 134552, 137536, 143571, 148735, 151877, 153002, 131530, 135266, 139280, 140714, 145842, 149620, 154240, 129496, 135796, 136641, 143325, 146840, 149191, 153920, 131543, 134187, 139985, 140628, 147067, 150719, 155455, 128634, 132975, 138145, 141185, 148634, 150166, 155693, 130412, 134072, 138767, 141500, 144763, 152685, 152988, 129286, 135861, 138838, 142934, 146861, 149156, 156700, 129813, 132965, 136541, 141142, 148050, 152431, 156114, 129552, 135665, 140283, 141537, 146861, 149402, 154223, 129718, 135143, 138947, 142213, 146163, 150691, 155768, 129286, 136307, 137856, 142955, 144745, 151517, 155517, 131397, 133468, 137046, 140970, 147891, 149107, 155961, 131035, 136058, 139014, 142362, 146551, 152436, 154650, 131543, 133263, 139735, 143430, 146438, 149268, 154504, 130223, 135665, 137502, 141840, 148449, 148976, 155940, 128584, 135843, 136966, 142956, 147761, 152157, 154411, 129472, 136064, 137694, 141058, 145924, 152577, 153232, 128969, 135021, 138724, 141338, 146448, 150067, 156677, 129472, 134160, 139318, 143930, 145551, 150326, 154673, 131821, 133817, 140209, 141199, 147635, 152561, 156037, 129667, 135199, 139883, 143737, 147487, 151975, 153825, 128827, 133403, 139242, 144217, 147709, 150348, 155853, 130835, 135520, 139427, 143210, 147607, 150721, 152854, 130315, 136436, 139079, 143648, 146031, 151041, 153648, 129438, 135297, 139135, 142533, 147925, 150210, 153768, 132318, 134346, 137369, 144079, 146342, 150963, 155295, 128893, 135300, 140397, 141106, 147759, 151434, 152995, 131397, 135237, 138038, 144410, 144994, 151120, 156714, 129262, 134573, 139581, 141062, 144905, 149173, 156733, 128741, 135588, 136705, 143587, 147746, 150719, 154749, 128850, 135377, 136784, 143266, 148152, 148951, 153047, 128714, 135377, 138846, 142942, 148099, 150929, 155889, 129813, 135159, 140223, 143047, 146034, 148850, 155734, 128634, 136297, 140001, 143446, 148585, 152212, 153707, 131035, 136328, 139687, 141322, 144732, 151192, 154896, 128634, 132895, 139600, 144634, 147436, 149183, 152902, 129813, 135811, 138267, 144304, 148585, 151017, 156050, 132116, 134742, 138129, 143029, 147864, 151698, 154430, 131826, 135564, 140086, 144119, 146376, 150138, 156018, 129286, 135202, 140393, 143694, 145691, 149401, 154020, 130418, 134424, 137377, 140889, 148376, 149866, 156485, 129286, 133125, 137744, 143761, 147914, 151944, 156930, 131188, 134945, 138248, 142788, 148210, 152157, 156005, 131397, 135922, 136717, 140919, 146840, 150697, 155849, 131543, 135221, 138273, 143249, 147499, 149557, 155660, 129708, 135763, 139368, 140564, 146474, 152786, 155612, 130124, 135503, 138667, 142183, 147741, 149599, 154111, 131543, 134669, 137359, 144475, 146800, 149043, 156855, 131188, 135237, 138846, 143387, 144657, 149199, 155540, 130043, 133677, 138941, 141058, 146871, 152168, 156365, 131667, 132962, 138437, 143737, 147099, 150712, 156632, 131397, 135859, 137041, 140735, 148073, 150693, 156060, 131543, 133622, 140488, 144231, 147000, 150953, 155009, 131397, 135974, 140342, 140924, 144992, 149383, 153377, 130321, 134107, 136854, 142365, 145575, 149684, 156722, 131397, 132475, 137057, 141136, 146813, 150570, 155640, 132193, 133742, 138931, 143700, 147279, 148851, 155403, 131530, 134947, 140159, 142747, 147658, 150168, 153516, 131397, 133952, 139679, 142456, 145016, 151445, 153477, 128592, 136058, 139543, 144077, 147982, 151086, 153459, 131397, 134088, 139813, 143012, 145756, 149427, 153901, 131447, 133771, 138675, 142869, 144911, 150816, 154717, 130223, 135458, 138390, 141972, 148045, 151694, 154617, 128741, 135370, 138869, 144539, 148214, 150171, 155853, 129286, 133755, 137776, 142914, 146241, 152260, 153346, 129708, 136097, 140438, 141058, 147636, 152305, 152852, 131880, 135730, 138422, 141860, 146800, 152104, 155519, 132293, 132766, 137432, 144392, 145014, 152763, 155520, 131886, 132440, 137553, 141529, 146843, 149066, 155264, 131529, 133223, 140482, 144176, 144721, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 60908, 436, 2690, 347, 124661, 127174, 102487, 101611, 459, 3862, 1026, 109605, 2629, 102864, 103243, 10946, 20920, 38404, 13, 1952, 84, 459, 3862, 1026, 309, 118039, 106224, 4355, 48497, 3862, 6713, 101766, 117265, 409, 51387, 7756, 1609, 102645, 9637, 78413, 103711, 8770, 1609, 104034, 16507, 121875, 4902, 55598, 352, 2779, 11, 81438, 107208, 102349, 30333, 16507, 379, 2448, 346, 26976, 93687, 80726, 274, 1590, 3862, 509, 93687, 80726, 26555, 104034, 102024, 20934, 2910, 483, 767, 100693, 100703, 69013, 3862, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130221, 133766, 138025, 141866, 147494, 151436, 153385, 128956, 132965, 137453, 142232, 145571, 152632, 156934, 129738, 135237, 140055, 143671, 147239, 151286, 152925, 129273, 133399, 138348, 143885, 144919, 151978, 154895, 130321, 132689, 137695, 140914, 147404, 152829, 153685, 131543, 132717, 138734, 141221, 147525, 149203, 155716, 129718, 136308, 140257, 141260, 147914, 152834, 155634, 130223, 135904, 138674, 143439, 145434, 152822, 154743, 129738, 135617, 138413, 143460, 146101, 149741, 155230, 131543, 136442, 138023, 140726, 147166, 150038, 155796, 129738, 133399, 140235, 144134, 147525, 151517, 154491, 131104, 134502, 136872, 143135, 146975, 149269, 152905, 132146, 135665, 137490, 142841, 146426, 152135, 155977, 130751, 134252, 139156, 144344, 147297, 149836, 156406, 129813, 135475, 139152, 143375, 145153, 151315, 156022, 131397, 132865, 137053, 144331, 147665, 151435, 154430, 130321, 136058, 137280, 144540, 146928, 149715, 153074, 131397, 134951, 139039, 141185, 146438, 151360, 156568, 130321, 135904, 139973, 143717, 148513, 152394, 156471, 129718, 134878, 137404, 141496, 147914, 152194, 156123, 130641, 132683, 138299, 140637, 145839, 151620, 153444, 131397, 135911, 138717, 144595, 147000, 151975, 154922, 128823, 132955, 137486, 142843, 147525, 152284, 154651, 129813, 134536, 139842, 142044, 148147, 151970, 156071, 132193, 133511, 139095, 143120, 147303, 148906, 153560, 131961, 134728, 138528, 141668, 148675, 151260, 156422, 131397, 134848, 137441, 141097, 145832, 150390, 152842, 130429, 133806, 137917, 143168, 148274, 149681, 156882, 131543, 134637, 138651, 144411, 147239, 149145, 155973, 128969, 133238, 140077, 143065, 145945, 151482, 154655, 131155, 136058, 138690, 141752, 147444, 149106, 153285, 132193, 132548, 140227, 143862, 147915, 152750, 154648, 131397, 132835, 138659, 144353, 145055, 151841, 154834, 131543, 136047, 136748, 141157, 146851, 151565, 155368, 131341, 133641, 139406, 141171, 147632, 148899, 155632, 128354, 134944, 140046, 143497, 145591, 150072, 154314, 131652, 136240, 140307, 140809, 147100, 151757, 153803, 131318, 135637, 138720, 143344, 146906, 151164, 155800, 130255, 133580, 137844, 141058, 148610, 151704, 154283, 130929, 134376, 138041, 144205, 145952, 152673, 154919, 131132, 132464, 137369, 144205, 144859, 148756, 153725, 128983, 134318, 136468, 142221, 148731, 149175, 156751, 132185, 135280, 138828, 143040, 145313, 149881, 155212, 130334, 132433, 136887, 141453, 147259, 150314, 152997, 132151, 134098, 139880, 140709, 145964, 150071, 155108, 128804, 133914, 137067, 141050, 145687, 148829, 155272, 132193, 133458, 140417, 140922, 146876, 150967, 155438, 129717, 135939, 137761, 143303, 148654, 149932, 152995, 129735, 134851, 139425, 141647, 146286, 152492, 153252, 131397, 133283, 138786, 141791, 146729, 150688, 154657, 132116, 135864, 139929, 142419, 146002, 148906, 152857, 131826, 136274, 139227, 140859, 145877, 149981, 153918, 129813, 135393, 140236, 140920, 148719, 152511, 154793, 131397, 136039, 138018, 144304, 146226, 152533, 154083, 128683, 132633, 136473, 141350, 147239, 148829, 154411, 132193, 136346, 138092, 141864, 147635, 148946, 154798, 131397, 135147, 138740, 141840, 148473, 152370, 154965, 129286, 132706, 140073, 142823, 145413, 150123, 154666, 129735, 136195, 140462, 144067, 145549, 150659, 155353, 128779, 133570, 138173, 143757, 145041, 152603, 154778, 131188, 135125, 137533, 141022, 147852, 148796, 156029, 129738, 134312, 138409, 140748, 145237, 152326, 155912, 128634, 133735, 138786, 143885, 148736, 152054, 154951, 131051, 132470, 138266, 144540, 145444, 151659, 155490, 129116, 133099, 139656, 143203, 144657, 151863, 156720, 131409, 134997, 137420, 142977, 148272, 151705, 153281, 131826, 134312, 139717, 143704, 146144, 150958, 152902, 129667, 134913, 138574, 144559, 146145, 152255, 155436, 130321, 134671, 137549, 142221, 144853, 152627, 155612, 130418, 134440, 137703, 144029, 145177, 151726, 154878, 129756, 132874, 137948, 143750, 147514, 152478, 154160, 131530, 135156, 139619, 142570, 144892, 152494, 153547, 131397, 135126, 139600, 143528, 147359, 150513, 153513, 130223, 134451, 139813, 141988, 147914, 149778, 154310, 130847, 133099, 137259, 143614, 147646, 151757, 155675, 128969, 133360, 138175, 142561, 145152, 150288, 153416, 132098, 134871, 137226, 144411, 145695, 149573, 156698, 132146, 134138, 137039, 143673, 144971, 149813, 153909, 129813, 134861, 140453, 141285, 146281, 148844, 153575, 131397, 132865, 136641, 141403, 147359, 150579, 155292, 131543, 132402, 138353, 140583, 148469, 151738, 154438, 128578, 135876, 139619, 141542, 146705, 151698, 156762, 130223, 136161, 137548, 142877, 145614, 151454, 155709, 128945, 134591, 139514, 143266, 148192, 152288, 153880, 130223, 134150, 140150, 142715, 146454, 150947, 154322, 131397, 133952, 137728, 140825, 145756, 148751, 154923, 131104, 133836, 139476, 141537, 147461, 148946, 156037, 128634, 132889, 140293, 143123, 146438, 151123, 154393, 132232, 135987, 138567, 142723, 146627, 148964, 154232, 128634, 132726, 140315, 142120, 146564, 150936, 156330, 131543, 135370, 140213, 140890, 146350, 152731, 154931, 129496, 135880, 136584, 141183, 146787, 149886, 156457, 131397, 135237, 138360, 141101, 145691, 149625, 155685, 129813, 136297, 140236, 143703, 148562, 150288, 155796, 131397, 133468, 138868, 144522, 145695, 149729, 155560, 130641, 133358, 138726, 142822, 148439, 152115, 154821, 128437, 136256, 139308, 140989, 147731, 149568, 156699, 128634, 133796, 139983, 142782, 145551, 148920, 156000, 132232, 133130, 139410, 143511, 146864, 150762, 153320, 131543, 133587, 139278, 143943, 147509, 152536, 153078, 131397, 134712, 139412, 140748, 148504, 148940, 153014, 132116, 135551, 136965, 144446, 146501, 150027, 152952, 131397, 135845, 136616, 143242, 146105, 148804, 156592, 129045, 135199, 136501, 142307, 144875, 151440, 156660, 131543, 135974, 136682, 141183, 148168, 149028, 153364, 128634, 134878, 138259, 143591, 148549, 150559, 156190, 132098, 133382, 138765, 142663, 148281, 150502, 155077, 129738, 136185, 137520, 143318, 148307, 151379, 153042, 131778, 132865, 139229, 142951, 145805, 150712, 152937, 128956, 136221, 140011, 143731, 148450, 151535, 155853, 128573, 134376, 139874, 144103, 147775, 148835, 152931, 129848, 133637, 139213, 143702, 147481, 148975, 156713, 129124, 135487, 137777, 144093, 148518, 149096, 153843, 128266, 133123, 140239, 142324, 147770, 152527, 152896, 130448, 132516, 136813, 143829, 145733, 150136, 156163, 128969, 134319, 140079, 141260, 144813, 149529, 153418, 128266, 135261, 136892, 144547, 147412, 149781, 154994, 132098, 134583, 139510, 143506, 148733, 149760, 156720, 128634, 132865, 137103, 142145, 145153, 149278, 154023, 130282, 135626, 139667, 142516, 147502, 152005, 153788, 131035, 133590, 139971, 142745, 147832, 150181, 152929, 129597, 133194, 137336, 143513, 144754, 150038, 155036, 131103, 134867, 140121, 141397, 145057, 150702, 153357, 130702, 135197, 136503, 143138, 148078, 150076, 156543, 131039, 134097, 140337, 144356, 144869, 152668, 156200, 129552, 136064, 139852, 141343, 145517, 152688, 156200, 129286, 134811, 138120, 140637, 145153, 151156, 155091, 129813, 135237, 138648, 140557, 147359, 151620, 154867, 130847, 133993, 136823, 142406, 147500, 150751, 153626, 130223, 135010, 138904, 142760, 148192, 149093, 156405, 131447, 133324, 138431, 142558, 146764, 151260, 155298, 131826, 133952, 138175, 142385, 145687, 151666, 153304, 131397, 134508, 138676, 142505, 147635, 151159, 153357, 130282, 135115, 136706, 141523, 148449, 151823, 154978, 129718, 132369, 137178, 141379, 148055, 152115, 154517, 129813, 132915, 136993, 141002, 145123, 151613, 154303, 131397, 135237, 140273, 142369, 146755, 152123, 153206, 132116, 133962, 139234, 142757, 147115, 151119, 153320, 131543, 135229, 137709, 143436, 147000, 150552, 154107, 131530, 133392, 140431, 143080, 148555, 152232, 156934, 131288, 132619, 139045, 141447, 147322, 151028, 155222, 131397, 136078, 137636, 142870, 147944, 150893, 153739, 129718, 135458, 138413, 143052, 146692, 149896, 153992, 129286, 133952, 139906, 141640, 147298, 152235, 156210, 129813, 132915, 138415, 141189, 145620, 149042, 155762, 131104, 132915, 138719, 143084, 146438, 151360, 153210, 131453, 136162, 137398, 143654, 145110, 149336, 154817, 128384, 134942, 137898, 141616, 147230, 149808, 156733, 131806, 134942, 138433, 142324, 148179, 150977, 154153, 130178, 134339, 136701, 143205, 147709, 150176, 154296, 131028, 132571, 136759, 143904, 145367, 150696, 153743, 129200, 132420, 139728, 141363, 146060, 152315, 153174, 128545, 134925, 139926, 143966, 146078, 148789, 155170, 129738, 134153, 139687, 142077, 145243, 151713, 154083, 131397, 134536, 138267, 143666, 147525, 152431, 156066, 129813, 133952, 137870, 143474, 146241, 150712, 152902, 129572, 136362, 136541, 144305, 147831, 150105, 155355, 131543, 135442, 136620, 141664, 145153, 152451, 154107, 130223, 133421, 137185, 142156, 147470, 150232, 154412, 128634, 136369, 139973, 143659, 148652, 151074, 155894, 129813, 132457, 136694, 141570, 148172, 149446, 153934, 129718, 134913, 138023, 143036, 144971, 151340, 154370, 131397, 136362, 138409, 142388, 148136, 152561, 154846, 130892, 134848, 138924, 142354, 147730, 149442, 156568, 131543, 134076, 137304, 140574, 145943, 151694, 154198, 129667, 135436, 140110, 142068, 145527, 150488, 155275, 129813, 134861, 137824, 141819, 145866, 152331, 153245, 129924, 132945, 140087, 140750, 147553, 149195, 154812, 131397, 136161, 137304, 142126, 146787, 151120, 155275, 130847, 135910, 136962, 141233, 148147, 151704, 156356, 131397, 133215, 139240, 143502, 145193, 151751, 155464, 129767, 132874, 140487, 141332, 146294, 149636, 154935, 131288, 134720, 140431, 140993, 144745, 150857, 154409, 131652, 135961, 138428, 143534, 146409, 152375, 153993, 132028, 136230, 139416, 142761, 144680, 152649, 156199, 130591, 134435, 139416, 143512, 148068, 149325, 153802, 128258, 128262 ]

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

[ 128259, 128000, 39, 12874, 1169, 747, 29147, 352, 125138, 9637, 78413, 8503, 43386, 8023, 107975, 116065, 112279, 88, 8747, 13, 18276, 30333, 325, 424, 757, 76876, 101165, 108426, 105119, 665, 126773, 71952, 125610, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 132151, 135924, 140287, 142284, 145533, 151005, 155578, 132193, 133801, 139171, 142360, 144996, 151873, 156371, 131432, 135442, 138860, 143704, 147509, 152319, 154365, 131826, 132921, 138360, 143212, 148007, 149306, 153989, 131821, 133368, 140224, 140991, 145750, 152555, 154093, 128437, 134051, 137547, 140889, 146501, 152548, 155069, 129045, 132695, 139323, 141950, 147887, 150587, 154569, 131860, 135748, 139415, 142570, 145687, 150814, 154621, 131543, 133231, 139352, 141974, 148198, 148749, 155744, 131432, 135221, 136740, 143965, 146813, 150755, 153458, 131447, 132865, 138027, 141199, 145057, 152644, 152898, 131858, 133555, 137272, 143692, 145794, 152217, 154667, 131397, 135061, 136532, 144193, 147359, 150995, 153511, 129273, 132684, 140189, 142618, 145012, 148783, 156314, 131543, 133465, 138106, 142016, 145687, 151540, 156929, 131447, 133146, 137525, 140850, 146599, 152444, 155398, 132146, 132736, 140035, 142016, 146448, 149292, 153882, 131397, 132457, 139404, 143962, 145687, 150395, 155912, 128812, 133301, 138877, 144557, 147298, 150277, 154026, 128969, 135442, 140404, 140901, 148538, 149049, 154277, 131543, 136161, 138323, 143104, 147150, 148998, 156448, 129738, 134552, 139384, 143528, 146376, 151074, 154086, 131625, 134878, 138761, 140585, 148113, 149882, 153127, 130457, 135763, 138533, 144482, 147682, 150725, 154217, 131543, 134712, 139966, 143961, 145413, 149142, 156396, 128578, 136448, 136907, 143172, 147253, 150554, 155955, 129496, 133388, 138625, 143895, 146260, 152010, 156005, 131397, 134552, 139507, 142163, 145556, 151110, 156063, 131961, 132890, 138027, 141058, 147185, 149524, 153085, 131543, 134752, 137359, 143550, 147730, 149059, 153049, 131397, 134486, 140550, 143613, 147359, 151549, 156932, 131039, 133663, 137330, 144077, 145233, 150816, 154984, 131397, 135102, 138952, 141840, 145695, 150738, 156197, 131188, 133460, 137242, 144527, 144860, 151293, 156000, 131104, 133107, 139881, 141158, 145874, 152339, 154421, 132098, 134555, 137236, 142842, 146059, 151891, 155481, 128669, 133371, 139233, 140694, 145159, 151200, 156658, 130835, 135773, 138391, 140742, 144693, 149700, 154093, 131223, 133524, 139847, 140559, 145608, 150481, 155137, 130929, 134897, 137911, 142224, 144752, 150727, 153725, 132318, 133745, 137911, 142197, 148182, 150776, 154823, 128983, 132450, 136887, 142756, 148200, 149754, 154255, 130334, 132433, 136887, 141453, 147259, 150314, 152997, 132247, 134788, 138026, 142122, 146386, 150041, 154572, 132251, 133457, 138717, 142016, 147166, 150415, 153471, 131328, 133146, 139162, 142766, 144972, 152457, 155356, 130321, 133206, 139626, 142908, 147510, 148994, 155927, 129045, 132708, 138660, 140754, 147117, 149125, 156522, 129423, 133517, 137453, 141138, 148576, 149017, 152887, 128439, 136354, 137711, 143196, 146197, 152698, 154959, 128827, 136025, 138864, 143883, 148035, 150327, 156229, 131244, 135473, 136652, 141510, 147761, 151517, 155604, 130854, 134138, 139109, 141190, 145648, 150537, 156821, 131619, 135009, 139137, 141793, 146138, 149130, 153964, 128634, 135369, 139637, 143893, 144657, 150980, 153928, 130751, 136292, 140496, 141777, 148483, 152554, 153719, 132265, 135811, 138284, 140886, 144805, 151491, 156533, 132098, 134149, 137074, 144435, 148353, 151892, 154897, 129286, 135116, 140087, 142192, 147239, 149697, 154071, 130124, 134150, 138245, 142024, 145815, 150022, 154784, 131035, 135253, 136532, 144217, 148400, 149269, 154698, 130124, 136046, 137390, 142955, 148149, 152585, 154252, 130147, 132619, 136658, 143145, 147413, 152756, 156852, 128714, 135358, 136503, 140599, 145556, 152238, 155910, 128543, 136083, 137408, 144071, 148361, 148959, 155748, 128758, 132684, 140439, 141361, 146901, 151932, 155130, 130915, 133061, 137449, 140580, 146068, 149760, 155800, 131654, 133475, 140379, 144435, 148214, 152103, 154228, 132185, 133024, 138665, 144078, 145258, 152369, 154862, 129116, 136066, 138340, 143468, 147298, 150913, 154422, 131000, 134448, 137103, 141517, 146301, 151895, 155951, 131104, 134677, 139687, 140637, 145162, 152766, 153437, 128827, 135197, 140189, 144139, 148580, 150144, 154187, 128889, 132517, 140189, 143674, 148327, 151037, 154577, 130829, 133993, 136621, 141403, 147485, 150355, 154383, 128634, 135197, 139838, 144432, 146928, 151680, 153431, 129116, 134965, 136472, 140712, 146201, 148782, 154733, 128652, 132444, 137111, 141665, 148449, 150876, 156284, 128956, 132576, 139489, 142928, 146284, 149079, 156827, 131014, 135061, 138129, 142830, 145220, 151913, 155613, 129575, 133125, 139012, 142068, 147808, 151879, 153003, 129572, 136374, 138526, 143706, 148424, 150431, 155947, 129185, 134913, 138765, 141195, 146746, 151978, 155374, 132076, 135358, 139914, 141233, 147109, 150861, 153445, 129185, 136161, 138990, 141195, 146672, 149501, 156630, 131035, 134252, 138419, 142584, 145190, 149336, 155200, 130296, 135284, 140148, 143080, 146664, 148928, 154617, 128969, 132639, 136935, 140629, 148352, 151246, 153049, 129045, 132865, 136665, 142000, 145750, 149924, 154773, 129290, 134422, 139145, 143528, 145750, 151666, 153119, 131652, 134422, 139185, 143482, 145156, 149808, 155307, 131223, 135443, 137555, 144217, 144680, 151699, 152848, 128275, 134812, 138767, 142863, 144679, 151726, 155419, 130255, 136218, 137004, 141568, 147988, 150187, 154109, 131529, 134971, 137794, 142349, 147259, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 105812, 84240, 14115, 106060, 5320, 58804, 101553, 747, 15606, 29147, 352, 108497, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 131821, 133473, 140276, 142124, 145460, 152235, 153391, 130751, 135307, 139231, 142577, 144692, 152254, 153329, 131035, 134635, 140336, 143708, 145613, 150955, 154277, 129045, 134878, 140484, 143852, 146740, 152735, 156805, 131104, 132761, 139865, 140922, 147509, 151159, 155456, 129738, 134312, 138360, 140773, 146072, 152756, 154030, 131345, 133403, 139653, 144030, 147588, 149952, 154122, 128520, 133487, 140421, 144126, 148352, 151517, 153882, 128945, 135316, 137681, 141505, 145153, 149138, 154277, 132103, 134805, 140215, 141137, 145923, 150059, 152929, 131397, 135206, 137375, 143223, 147093, 149204, 153513, 129718, 135626, 138277, 143885, 145861, 151549, 154218, 132193, 132502, 138651, 141984, 146101, 150326, 154587, 129106, 135048, 138808, 142331, 147336, 151519, 155938, 131884, 133125, 139294, 141265, 147274, 152482, 153018, 131892, 135835, 137732, 143252, 145298, 149052, 154643, 130124, 132416, 140332, 143813, 146540, 149082, 155051, 131826, 134422, 140215, 144561, 145695, 150016, 154513, 131114, 136195, 140314, 140922, 145680, 150725, 154965, 131397, 133403, 137307, 141621, 146840, 148792, 155511, 130462, 132684, 137904, 144344, 147314, 152048, 156748, 130321, 136325, 139261, 141360, 144766, 150348, 155074, 131397, 133586, 140139, 140764, 145153, 152319, 153798, 128956, 134805, 137761, 143574, 144745, 151115, 155211, 128889, 132965, 139622, 143783, 148152, 150038, 155894, 129572, 134422, 138250, 143885, 145846, 152602, 156006, 131301, 135473, 139378, 141149, 148580, 150236, 153160, 131442, 133513, 139786, 141871, 146949, 151074, 155151, 129789, 135416, 139072, 140835, 144811, 149299, 155144, 131806, 133948, 140401, 142856, 148552, 149149, 153483, 131654, 132370, 138681, 144205, 145371, 151704, 153228, 130878, 136208, 137369, 141100, 145166, 150314, 153170, 132185, 133089, 139733, 140564, 146493, 148907, 153977, 130185, 133914, 137638, 142038, 146281, 151139, 154246, 128634, 134052, 138646, 140647, 144745, 152836, 156200, 131286, 132369, 137639, 141193, 145379, 150947, 153770, 128344, 132520, 137462, 143041, 146015, 148912, 153060, 132017, 133949, 137922, 142609, 145807, 149631, 156934, 131035, 134187, 138855, 142105, 147509, 150536, 156301, 132193, 134716, 138889, 142544, 145783, 150247, 156527, 129717, 134444, 136658, 140614, 148473, 148965, 155639, 128634, 135959, 139967, 142079, 147359, 150723, 153538, 128827, 135501, 137897, 140667, 146156, 149124, 153760, 131164, 132457, 136683, 142216, 145413, 148855, 155423, 131670, 136025, 136567, 144280, 145264, 150164, 155180, 129106, 136259, 137116, 142908, 144975, 151532, 155062, 130457, 133061, 139945, 144113, 146974, 151534, 155697, 129708, 134276, 139168, 142937, 145279, 152252, 156673, 128560, 134162, 140427, 141210, 145550, 151641, 153794, 129933, 132500, 139810, 143122, 146802, 149811, 154950, 131223, 133069, 138576, 143512, 145812, 151093, 153617, 132028, 133069, 139469, 143911, 146678, 152103, 154165, 130255, 133771, 139587, 143691, 144837, 150289, 153152, 128258, 128262 ]

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

[ 128259, 128000, 40, 78413, 4937, 53271, 15606, 29147, 352, 11, 117414, 105735, 2448, 2329, 68228, 101177, 2448, 1031, 101998, 8866, 16737, 125783, 119206, 5213, 104688, 379, 2448, 2857, 301, 2668, 72, 13, 128009, 128260, 128261, 128257, 129917, 134916, 140128, 143920, 145906, 149229, 155981, 131447, 135500, 137449, 143989, 145165, 151157, 155888, 131039, 135202, 140206, 140588, 146281, 152763, 153565, 131035, 132369, 137962, 142353, 148361, 149970, 154446, 130124, 134737, 140425, 144606, 145280, 150498, 152956, 129288, 133013, 140117, 141940, 146222, 148827, 154246, 129185, 136161, 139620, 142046, 148352, 151888, 154796, 129045, 136378, 140279, 143466, 148397, 151945, 153194, 131251, 133660, 136978, 144055, 147281, 150918, 153291, 128614, 133075, 138046, 140630, 147309, 148855, 156743, 128956, 135076, 140370, 143070, 144755, 152649, 155094, 129106, 132552, 139192, 143147, 147756, 149534, 153610, 128560, 132542, 137876, 142180, 147536, 152009, 153272, 130453, 132414, 136668, 143817, 145941, 149171, 154216, 129760, 135206, 137879, 140780, 145812, 151510, 156496, 130178, 133289, 137781, 141547, 145812, 149115, 154228, 132028, 132516, 138289, 141043, 146031, 149239, 156199, 130929, 135535, 139109, 140564, 144814, 148756, 152852, 132318, 135385, 139613, 143281, 148182, 152764, 154509, 132185, 134318, 138125, 140983, 148731, 149629, 153003, 130334, 133766, 136786, 141766, 147259, 150240, 152997, 132247, 134788, 139880, 143976, 147076, 150314, 154374, 128868, 134788, 140337, 143636, 146861, 152065, 155185, 129273, 135811, 139147, 141183, 147758, 149679, 156150, 128773, 136179, 139509, 142391, 147685, 149520, 152941, 131397, 134364, 137423, 142060, 147113, 151388, 154884, 130598, 135214, 138114, 141996, 144921, 152375, 155461, 131397, 136112, 140475, 142566, 146035, 150912, 155070, 132146, 136297, 137525, 141836, 145528, 152328, 154239, 129813, 133048, 137662, 143573, 145864, 149932, 153943, 132265, 133576, 140183, 141740, 148375, 152496, 155959, 129045, 132369, 136935, 140998, 145943, 149154, 155516, 129644, 133667, 137483, 142922, 146131, 151379, 156830, 130124, 133843, 136560, 140775, 146131, 150532, 154828, 128914, 135904, 140332, 142951, 145156, 150036, 156352, 128560, 134295, 139177, 143513, 145183, 151360, 154592, 130124, 135665, 140538, 142954, 148424, 152135, 154408, 131328, 133660, 139704, 142622, 144900, 150591, 155149, 129667, 133126, 138291, 141648, 144759, 151923, 156236, 128634, 132386, 139265, 143681, 146448, 149158, 154329, 131286, 136195, 138808, 144600, 144941, 151976, 153707, 129813, 135693, 139315, 143292, 145864, 151929, 156637, 128634, 134452, 140223, 144285, 145153, 152238, 154489, 131851, 133558, 136754, 141685, 147591, 152667, 154836, 131397, 133407, 139866, 143005, 148168, 150016, 153100, 128956, 132369, 139607, 143624, 148084, 150288, 152887, 131397, 132600, 139127, 141254, 148247, 149762, 153542, 130124, 134138, 137673, 140616, 145253, 151239, 156428, 128889, 135458, 138299, 141674, 146755, 151589, 153195, 131851, 133460, 138835, 144067, 148327, 151041, 152887, 129572, 135458, 138538, 143703, 146438, 150750, 154254, 128634, 135694, 139042, 140769, 145937, 151871, 155164, 128741, 134805, 139505, 142561, 146861, 149592, 153067, 131104, 135475, 138832, 144360, 144680, 151829, 156338, 130418, 133756, 137156, 144493, 148313, 150874, 156351, 129273, 134422, 137400, 143752, 146710, 149024, 155132, 131035, 136064, 137309, 142306, 145387, 149401, 153522, 130371, 132718, 137132, 141805, 148632, 149866, 153009, 130370, 134285, 138301, 142061, 146773, 152548, 156137, 131318, 135355, 137369, 141100, 145115, 151048, 156763, 131253, 134812, 137264, 144465, 144681, 149841, 156770, 131382, 133289, 137232, 141706, 145590, 149175, 156751, 130540, 136443, 139889, 144333, 145906, 151249, 154621, 130336, 133995, 139167, 141666, 145263, 152678, 156339, 129273, 135414, 139127, 141579, 145153, 150691, 156406, 132106, 135921, 139111, 140889, 148065, 152404, 155327, 131035, 135796, 138360, 143666, 148352, 150276, 152962, 128945, 135183, 139034, 143591, 146284, 150234, 155600, 128914, 133635, 137917, 141411, 146707, 152721, 154456, 131644, 132392, 138228, 143570, 146779, 149917, 155398, 130772, 135757, 136766, 144644, 145280, 152299, 154424, 131104, 135747, 138252, 143741, 148580, 151631, 154288, 129185, 134586, 138888, 140771, 145961, 151575, 154980, 129472, 133872, 140250, 142231, 147953, 148975, 153761, 128634, 132895, 140446, 143606, 144693, 149268, 156769, 131656, 134295, 137770, 143774, 145138, 149841, 153780, 129767, 134771, 140351, 143673, 147109, 151694, 153079, 128945, 135904, 136731, 142926, 148518, 150339, 155606, 132098, 132631, 137054, 142897, 147339, 149643, 153090, 128478, 135207, 137690, 141451, 146044, 149510, 156289, 128652, 135626, 137652, 143027, 145366, 148857, 155984, 128555, 135645, 136897, 141995, 145153, 151042, 156925, 128956, 135054, 137153, 142290, 145056, 151980, 156903, 130096, 135303, 137774, 143531, 148384, 150663, 156769, 129288, 133019, 139572, 142926, 145103, 150073, 155436, 130013, 135112, 138089, 143631, 144782, 150069, 156763, 131223, 135847, 139874, 140701, 147700, 150726, 156723, 130591, 133546, 139733, 143829, 147181, 151343, 153802, 128258, 128262 ]

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

[ 128259, 128000, 7979, 76876, 1565, 62594, 103137, 102864, 13728, 266, 18578, 30333, 5298, 309, 33573, 100463, 1048, 75009, 106060, 15606, 9736, 102430, 103838, 98410, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 154410, 132151, 135924, 140199, 144295, 147990, 152643, 153638, 131713, 134872, 137019, 142123, 144745, 151597, 155768, 128634, 132792, 138038, 142030, 145660, 150218, 154595, 131397, 134142, 138394, 141199, 146504, 151799, 154929, 129921, 133850, 139222, 142357, 146273, 150040, 154804, 129045, 133667, 136863, 144092, 144830, 149028, 153212, 128439, 134923, 138414, 142715, 146738, 149382, 156577, 128945, 133020, 136509, 142125, 147232, 149815, 155295, 129423, 135675, 138067, 140807, 145301, 149408, 153122, 128614, 136161, 138100, 143474, 145292, 148961, 156267, 131397, 133071, 136856, 143123, 148426, 152077, 156607, 128634, 135863, 139340, 143666, 146690, 151248, 155344, 128669, 136445, 139687, 141588, 147929, 149287, 154565, 128634, 135657, 138992, 142352, 147892, 151921, 153875, 129472, 133909, 137391, 142393, 147481, 151229, 153801, 129124, 132875, 140127, 141164, 146670, 152747, 156882, 128549, 132385, 137493, 143375, 147849, 151740, 155166, 129496, 132718, 136989, 142135, 144913, 149477, 153920, 131397, 134441, 140011, 141254, 146376, 149341, 155734, 129273, 134538, 137699, 144641, 147998, 149088, 156327, 131652, 134572, 140002, 141846, 146382, 150665, 154900, 131526, 135385, 139201, 141508, 145729, 151053, 156903, 129924, 136196, 138202, 143715, 144941, 152548, 156083, 129045, 132525, 140233, 143515, 145642, 149402, 154385, 129055, 134973, 137482, 144612, 146263, 149440, 156860, 131104, 133883, 140116, 142995, 147487, 148920, 156934, 129273, 136137, 137557, 140901, 148453, 152580, 155300, 128956, 133817, 137934, 141309, 148589, 148871, 154324, 131432, 134424, 138990, 142581, 148069, 151314, 154709, 128402, 135790, 137298, 141394, 146551, 152747, 156642, 131800, 132481, 137973, 141646, 147950, 149135, 153739, 128945, 133535, 138061, 143869, 145514, 149918, 155216, 131505, 132461, 140370, 144643, 146284, 151973, 153177, 130552, 135261, 138438, 141723, 147568, 150628, 154724, 132151, 133766, 136619, 141766, 146386, 150240, 156264, 130758, 136318, 136830, 142504, 148555, 151835, 154550, 131333, 135677, 137662, 141097, 146993, 152290, 153464, 132240, 132413, 136610, 143427, 146701, 149308, 156623, 129273, 133554, 140369, 141931, 146067, 152733, 155125, 128945, 135330, 137061, 144508, 148267, 150972, 155925, 131409, 132398, 136871, 142044, 145183, 151983, 153473, 131035, 136001, 137495, 143374, 144741, 149232, 155801, 131543, 132453, 138528, 143495, 147166, 150898, 156219, 129273, 132389, 140167, 140734, 146044, 151148, 154131, 130451, 132376, 138404, 143414, 146630, 152169, 156500, 128969, 133535, 137061, 141321, 148424, 152261, 152994, 130847, 132865, 138106, 142130, 147345, 150678, 154952, 128560, 133407, 139406, 141463, 145535, 151229, 153994, 128969, 134940, 139270, 144419, 148424, 152261, 154520, 131397, 135706, 138978, 141741, 148313, 152297, 154198, 130244, 133125, 138034, 141400, 147298, 150672, 153341, 129273, 136428, 137814, 142928, 147416, 151335, 154418, 128956, 136301, 138590, 144457, 145946, 149185, 155225, 131763, 136257, 136897, 144411, 147749, 150434, 155145, 130096, 135592, 139427, 143600, 146392, 150305, 152896, 129811, 133327, 139006, 142631, 147410, 149782, 154752, 128827, 132807, 139114, 143432, 145999, 151366, 156458, 129092, 135026, 139506, 140909, 147749, 151339, 155179, 129937, 135902, 139576, 143426, 147219, 149878, 152945, 131505, 133653, 139377, 144146, 147500, 152472, 154970, 128783, 134983, 138287, 144582, 146284, 149250, 153648, 131223, 135847, 139136, 143829, 146033, 150874, 156182, 130255, 135724, 138041, 140882, 146465, 151221, 156244, 128258, 128262 ]

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

[ 128259, 128000, 50, 68228, 11, 44314, 587, 11, 116959, 312, 983, 72, 23542, 104172, 14115, 115885, 110112, 31081, 2649, 101564, 107398, 577, 79884, 7370, 126255, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147259, 151741, 153154, 132191, 134345, 138915, 143720, 145228, 150712, 153813, 132310, 134235, 137896, 142609, 145236, 149490, 154385, 132193, 134284, 137783, 140888, 146674, 151525, 155767, 129273, 132865, 138357, 142201, 146720, 148828, 153633, 132160, 135330, 139435, 140755, 147502, 149004, 156203, 129792, 135483, 137830, 141579, 146720, 152060, 155181, 129845, 135214, 140546, 141629, 146666, 148940, 155766, 129504, 133384, 137603, 142920, 144975, 149585, 154526, 131654, 134052, 136970, 140569, 147283, 151875, 156463, 131187, 135109, 140513, 143484, 144933, 152312, 153159, 129423, 136370, 137053, 144443, 147099, 152571, 152895, 129575, 136064, 138808, 143191, 145823, 149804, 154711, 131884, 133148, 140149, 142879, 147599, 149535, 156046, 129273, 136025, 137406, 144245, 148313, 150771, 156219, 131670, 135214, 136553, 140635, 147549, 152000, 153177, 130457, 136330, 140353, 141391, 147604, 151664, 153278, 129601, 134981, 139477, 144411, 145866, 148985, 153964, 131187, 135931, 139131, 143819, 144816, 149764, 155934, 129200, 132369, 137235, 144623, 147525, 150673, 153147, 129792, 133641, 139374, 143666, 145621, 150552, 155943, 129471, 134147, 138958, 142039, 147550, 150038, 154792, 132193, 132578, 138407, 141660, 145805, 151929, 156061, 131244, 134441, 138985, 142363, 147588, 152456, 154740, 131035, 135946, 137120, 143243, 146526, 148932, 156133, 128634, 134596, 139869, 140721, 148589, 150741, 155930, 129813, 134422, 140200, 141833, 147810, 150815, 153120, 128889, 133993, 139378, 140955, 147487, 149932, 156706, 129572, 135475, 138043, 142978, 146242, 151991, 153043, 131563, 135442, 138175, 144331, 145794, 151535, 154396, 130487, 135190, 139733, 143128, 145177, 152162, 153781, 131670, 133358, 137557, 140717, 144830, 150207, 154550, 131961, 135706, 136791, 142926, 145304, 149290, 154776, 129496, 135023, 137309, 144388, 145123, 149858, 153941, 130123, 135500, 140156, 143969, 147660, 152058, 155924, 129106, 134101, 137628, 143115, 145502, 150082, 155423, 129273, 133756, 138385, 143147, 147499, 152826, 156253, 132064, 132902, 138061, 144570, 146707, 150667, 156151, 131971, 134247, 140074, 144567, 148646, 149250, 154879, 131132, 133131, 137452, 140694, 146681, 151135, 155147, 132151, 133766, 138269, 144534, 147259, 152505, 155317, 130334, 134098, 139880, 143976, 146386, 150314, 154410, 128983, 133676, 137637, 144205, 146335, 149175, 154766, 131630, 134559, 138913, 142445, 145530, 150658, 154557, 130039, 133238, 136616, 142028, 147599, 150552, 153212, 131858, 134668, 139985, 142672, 146967, 152682, 155083, 131200, 135343, 139519, 142815, 144741, 151434, 153133, 131817, 135525, 138526, 144055, 147098, 150774, 154910, 130124, 133161, 139999, 141604, 147093, 152500, 156165, 132193, 134872, 139604, 142718, 146297, 152145, 153124, 129273, 135621, 140251, 140825, 148352, 152310, 155087, 128614, 133272, 137718, 143493, 147454, 151069, 153343, 131971, 134662, 140461, 143626, 145817, 152706, 154120, 131417, 132791, 139361, 143570, 148000, 150603, 154467, 131669, 135141, 138036, 144620, 146978, 152404, 153641, 129200, 136349, 136823, 144513, 144836, 151088, 153660, 131401, 132706, 137903, 141620, 147349, 151291, 156830, 129273, 133568, 138360, 140748, 145556, 152357, 155076, 132106, 133236, 139853, 144427, 147502, 151926, 155959, 129273, 133077, 138729, 143281, 148437, 150660, 156213, 129185, 135800, 139355, 141450, 145279, 151062, 153556, 130427, 135922, 138138, 141474, 145823, 150038, 156132, 130124, 136136, 137003, 143346, 145695, 151816, 154346, 131035, 135126, 140342, 140737, 148578, 150405, 154045, 129045, 134485, 139770, 142333, 144780, 152361, 154663, 130124, 136073, 138956, 141246, 145393, 150499, 156745, 128354, 135322, 139213, 141919, 147210, 150739, 154843, 131571, 132855, 139792, 143996, 145253, 150539, 152885, 131051, 136240, 137446, 144411, 148440, 150085, 156543, 130124, 136067, 136616, 141798, 145839, 149790, 154582, 132067, 133091, 138449, 141649, 146766, 150950, 153060, 131731, 134679, 138969, 144183, 148108, 152423, 153971, 130124, 135237, 139164, 141767, 148585, 151250, 154258, 131968, 135011, 137445, 142649, 146400, 152173, 153617, 132106, 132478, 138331, 141422, 146259, 150637, 152974, 130320, 134112, 137449, 141212, 146573, 152385, 155961, 129898, 135177, 137339, 143664, 146802, 151875, 153768, 131223, 134339, 136677, 144592, 145812, 149896, 154960, 132028, 134430, 137494, 144557, 147423, 151704, 155563, 130255, 135862, 140467, 141066, 148141, 148756, 156244, 128258, 128262 ]

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

[ 128259, 128000, 33, 359, 14115, 11, 104552, 118756, 58112, 105039, 84240, 103137, 106935, 25506, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147259, 150314, 154355, 128983, 135780, 139168, 144079, 148731, 150918, 153271, 132185, 136443, 140199, 141689, 146493, 150628, 153823, 130765, 132772, 139085, 141882, 148172, 149175, 156571, 131104, 136247, 138891, 144010, 147109, 151853, 155091, 128652, 132965, 139883, 144543, 145895, 152292, 156760, 131397, 135500, 138450, 141816, 144677, 150154, 156607, 131035, 132542, 137870, 141484, 148168, 150390, 156515, 131409, 132835, 139471, 143164, 145494, 150723, 154077, 130096, 136455, 136980, 144388, 147969, 152260, 153782, 130079, 133844, 139143, 141411, 145462, 150143, 154207, 131806, 135806, 138157, 143569, 145608, 150208, 154569, 131223, 132516, 137769, 142923, 145608, 151340, 154919, 130255, 136423, 138128, 143829, 147443, 151525, 152852, 130758, 135535, 138580, 141463, 145952, 149074, 152852, 132318, 132987, 139983, 140564, 146859, 151232, 154964, 128983, 134177, 137341, 144384, 148731, 148907, 156583, 132185, 135280, 138828, 141689, 145313, 149881, 155212, 130334, 134971, 136887, 141855, 147259, 150314, 152997, 131529, 133318, 136613, 142912, 146004, 152098, 156119, 130418, 136161, 138591, 140600, 147953, 149377, 153189, 131421, 135709, 137217, 144448, 146779, 151712, 156835, 129981, 136428, 137355, 140629, 145941, 150665, 154525, 128634, 135059, 139164, 140731, 147579, 152254, 154793, 128827, 136073, 139387, 144289, 144759, 152078, 154513, 128758, 134112, 139596, 143498, 147583, 149528, 154888, 131035, 133199, 136671, 143925, 148209, 151347, 156527, 129273, 132890, 137486, 144193, 147588, 151418, 155724, 129045, 133146, 136928, 142650, 147751, 151088, 156619, 128945, 134789, 136927, 142039, 145420, 150361, 155050, 130893, 133263, 136484, 142099, 145556, 149572, 154666, 131036, 132755, 139597, 140615, 145128, 150143, 154931, 131680, 134514, 138142, 141555, 146589, 149374, 154979, 129055, 134457, 137522, 140746, 147185, 149619, 155822, 132028, 135954, 139634, 144389, 145188, 151413, 156717, 130255, 133320, 138760, 141976, 146847, 151169, 154410, 132318, 135385, 136468, 143976, 146479, 150028, 156119, 128983, 132450, 137952, 140963, 148731, 149175, 153271, 132185, 135280, 138828, 142924, 148731, 151217, 155212, 130334, 133318, 136887, 144433, 147259, 150314, 152997, 132247, 134788, 138026, 142912, 148068, 151002, 154979, 131724, 135669, 140269, 143214, 145119, 152215, 153743, 128525, 136139, 137920, 141773, 148371, 149161, 153200, 131018, 133534, 140521, 144602, 145394, 150247, 154741, 130201, 136087, 139049, 141361, 144994, 152571, 155211, 130816, 135870, 138083, 142554, 147172, 151580, 156724, 132139, 134489, 139820, 141899, 144782, 151970, 154321, 128773, 133664, 137264, 142082, 144658, 150058, 156544, 131884, 135311, 138542, 143266, 147599, 151248, 153864, 128339, 132890, 138988, 144115, 148669, 151263, 154920, 131035, 135904, 138243, 143852, 147635, 149381, 154163, 129273, 132724, 137720, 142520, 147359, 149924, 154187, 130412, 133817, 140242, 144246, 144713, 149114, 153819, 131035, 135295, 140106, 141277, 147509, 150750, 155410, 131104, 135859, 138354, 141861, 145691, 151816, 156527, 128995, 135946, 136826, 144522, 147055, 151386, 154706, 131397, 133099, 138003, 142940, 146461, 151441, 156357, 132193, 132521, 137304, 141589, 144809, 149530, 153560, 131104, 133332, 137013, 142987, 148509, 152565, 155552, 128810, 133771, 138449, 140994, 148401, 150950, 155225, 128956, 135102, 137857, 143147, 144840, 152419, 154872, 129208, 136372, 138851, 142087, 148183, 149436, 155435, 131496, 136296, 136999, 140953, 146372, 148949, 155060, 128524, 135919, 139083, 144407, 146372, 149101, 154763, 129846, 134742, 140325, 142203, 148372, 149040, 154270, 131342, 133872, 139072, 142139, 145970, 149508, 155398, 128675, 136262, 138526, 141003, 147253, 149715, 154912, 131656, 135954, 139961, 144315, 145727, 152571, 155432, 131505, 133262, 138874, 141995, 145906, 151918, 153532, 128289, 135145, 137580, 140564, 146033, 149923, 154228, 132028, 134027, 139438, 144411, 145357, 148775, 153003, 132318, 135112, 139815, 143534, 146931, 151343, 155012, 128258, 128262 ]

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

[ 128259, 128000, 43712, 297, 72813, 26693, 342, 98410, 2092, 3178, 4411, 111659, 747, 274, 1103, 72626, 1560, 268, 1077, 72813, 26693, 436, 79691, 70, 107628, 11, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 142122, 147076, 150278, 155746, 131187, 134456, 137374, 142747, 148424, 149514, 153979, 129045, 132684, 139665, 142304, 147379, 152084, 153649, 129458, 136362, 137453, 141463, 148337, 151332, 155011, 128893, 134816, 137814, 142232, 148327, 150999, 156567, 132139, 135362, 136551, 142741, 148350, 151612, 156047, 131028, 135396, 138529, 143110, 146324, 151482, 153385, 128545, 132708, 137821, 142184, 145619, 150960, 156378, 130304, 135021, 138330, 142468, 146135, 152396, 153114, 131884, 133677, 140122, 144331, 148393, 151932, 152851, 129575, 133882, 137698, 140706, 146660, 150032, 155520, 128969, 135820, 136665, 142296, 147298, 152221, 154953, 131397, 133817, 137453, 143374, 144939, 150846, 153425, 130124, 133993, 139925, 144600, 146281, 148827, 155382, 131035, 134808, 137547, 140950, 145356, 150469, 154588, 129045, 135626, 137453, 144082, 147914, 150158, 154683, 131035, 136064, 140430, 142745, 146710, 151457, 155936, 132103, 134931, 140404, 142863, 146500, 149322, 156472, 132185, 134472, 136855, 142671, 145964, 149881, 156431, 130334, 134971, 138026, 140709, 146386, 152168, 154887, 130998, 135780, 136648, 142943, 145733, 149926, 155609, 131028, 135970, 139416, 142362, 148346, 152382, 156478, 128757, 133913, 140094, 143311, 145815, 149195, 155294, 130412, 132717, 137404, 144517, 145005, 152815, 156499, 129185, 132976, 139211, 143067, 148396, 150215, 156174, 131571, 133641, 139950, 141030, 148217, 149665, 154083, 130035, 135895, 140534, 141616, 146015, 152155, 155245, 131164, 133888, 138807, 144569, 147764, 151510, 155858, 128983, 133547, 136855, 144384, 148212, 152487, 153779, 130334, 134971, 137952, 140709, 146386, 152168, 156264, 130601, 134871, 137220, 141694, 146281, 148787, 155790, 128995, 135199, 137220, 143243, 147525, 152219, 154332, 131104, 133283, 140342, 142984, 147635, 148951, 156070, 129106, 132369, 138171, 141676, 145197, 151383, 153433, 128758, 132874, 140108, 141395, 146273, 150610, 155155, 128956, 133672, 139153, 141616, 146540, 148893, 153891, 131104, 134422, 138040, 142750, 145153, 149987, 155095, 131851, 134489, 139592, 141824, 145889, 149162, 154805, 128969, 133311, 139855, 143154, 146085, 150136, 155011, 129185, 132915, 139207, 143303, 146426, 149128, 155738, 130321, 135197, 137379, 142142, 147155, 152747, 154282, 131028, 134947, 140451, 144547, 146256, 151503, 153291, 129286, 133968, 136676, 141481, 145516, 151388, 153541, 128850, 135237, 137041, 143856, 144948, 151793, 156676, 129575, 135071, 137959, 142738, 147487, 150537, 153624, 132193, 133257, 137168, 143049, 144802, 151028, 156070, 131397, 135998, 138962, 142982, 145717, 151352, 153044, 131035, 135024, 137744, 141273, 145110, 150672, 154750, 132193, 135859, 139789, 141848, 148313, 152724, 154540, 129876, 133730, 140141, 142757, 146395, 149619, 156694, 128634, 132775, 137462, 143818, 146044, 149138, 155843, 130458, 133206, 140001, 140772, 147334, 152269, 153060, 132116, 134721, 139959, 142419, 147271, 150671, 155949, 132193, 135178, 140356, 140754, 146840, 151115, 153930, 131397, 135959, 138749, 141570, 145387, 150898, 152904, 130124, 135026, 140149, 142822, 148108, 152696, 154715, 130998, 134100, 138867, 142151, 148731, 150569, 155304, 130334, 134393, 137411, 142040, 147259, 150314, 152997, 128868, 133676, 138253, 143181, 144919, 152730, 154832, 129456, 135438, 137899, 144435, 147298, 152328, 153481, 132193, 135617, 136677, 141857, 145990, 148963, 155849, 129045, 132874, 139855, 142412, 145260, 150214, 153377, 130124, 133535, 140274, 143150, 144669, 149573, 153250, 128592, 134357, 140519, 141133, 148653, 149699, 153070, 132176, 133278, 138046, 141163, 147977, 149799, 154567, 129273, 134525, 139736, 141966, 145115, 152125, 155284, 128343, 135211, 136616, 143464, 147824, 151359, 153841, 131035, 134957, 137206, 141378, 147054, 149338, 153066, 130124, 135904, 138414, 141094, 148628, 149729, 156852, 131397, 132504, 137750, 143135, 147359, 149144, 155002, 130321, 135298, 140551, 144356, 145304, 148831, 156733, 131104, 135370, 138229, 141970, 148313, 149093, 155613, 129738, 134822, 137578, 143439, 147811, 148806, 153113, 128956, 136064, 138180, 142207, 147382, 149216, 153683, 131625, 134821, 137744, 144157, 148438, 151662, 153189, 132064, 133206, 139813, 142466, 145763, 150617, 156199, 130094, 134931, 136844, 141107, 148621, 152627, 155189, 132293, 136053, 137264, 142030, 147808, 151525, 154518, 129221, 135094, 136951, 142676, 146881, 150132, 154295, 128868, 133563, 137392, 140887, 146386, 149288, 155469, 128258, 128262 ]

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

[ 128259, 128000, 57099, 78413, 6634, 3862, 13728, 266, 26693, 15606, 90637, 113528, 13, 507, 127916, 71952, 579, 42250, 17090, 1565, 11, 125323, 125492, 4937, 53271, 66374, 17848, 258, 85009, 39797, 11, 432, 12825, 96548, 102892, 17774, 371, 10036, 15606, 30583, 53691, 16507, 106989, 103634, 11, 109051, 118668, 58804, 5297, 102234, 120464, 278, 105521, 105620, 13, 128009, 128260, 128261, 128257, 128312, 134472, 137418, 140943, 145165, 149907, 153064, 129045, 134720, 140238, 142456, 145434, 151066, 154012, 131039, 133226, 138972, 141131, 145059, 149195, 155377, 132146, 136242, 138513, 141846, 148035, 152157, 155427, 129552, 132684, 136678, 142660, 146426, 151347, 156322, 131543, 133406, 139165, 142741, 145834, 152409, 156779, 129575, 133435, 137004, 141176, 148123, 149505, 154833, 132103, 133636, 136914, 141226, 147210, 149325, 153108, 130673, 135322, 138341, 143101, 147271, 150485, 156352, 131961, 132389, 136654, 141783, 145153, 151796, 154295, 131397, 135028, 138459, 143336, 147435, 148955, 153182, 132193, 133801, 137013, 143700, 146957, 150472, 156017, 131338, 132900, 136547, 144134, 148736, 151982, 152930, 129045, 134679, 138805, 142608, 147413, 151485, 153699, 128956, 135061, 138385, 141463, 147473, 152398, 156000, 128969, 132996, 140520, 141348, 144654, 150050, 153397, 131397, 134319, 136801, 142234, 148714, 151558, 154925, 130457, 135177, 136614, 141944, 147283, 151757, 152852, 129750, 134261, 139846, 142885, 148097, 148949, 153902, 131900, 134069, 138907, 141653, 144684, 149215, 155469, 130302, 133850, 137361, 142761, 148232, 150994, 154694, 129106, 133362, 136999, 144357, 148646, 151368, 156026, 128560, 134380, 137099, 142245, 147452, 148821, 153469, 130763, 133131, 139960, 142044, 148285, 150883, 153367, 131719, 133069, 137137, 141648, 148535, 152349, 155239, 132257, 134514, 139908, 143443, 145357, 150446, 156117, 131223, 134208, 136859, 144285, 147700, 149031, 155979, 128275, 133524, 137451, 141547, 145952, 152103, 152989, 130255, 135356, 139411, 144475, 147644, 152103, 153271, 129403, 133320, 137911, 141437, 145018, 151714, 156621, 128813, 135912, 140199, 142007, 146054, 149881, 153271, 128983, 134893, 138828, 143040, 148731, 149175, 155212, 130334, 134893, 138026, 140978, 147259, 148901, 152997, 132185, 134047, 138313, 142974, 148333, 148766, 155504, 128856, 134299, 140283, 143741, 146990, 151603, 153174, 130412, 134441, 139910, 142372, 146125, 148803, 156254, 132265, 135393, 139378, 143474, 145442, 150579, 153503, 128478, 133042, 140107, 144639, 148549, 151055, 156121, 131447, 135947, 138157, 141499, 146690, 152548, 155270, 129080, 135507, 138183, 143604, 146078, 150653, 152847, 131501, 132840, 136848, 140695, 145331, 150407, 155283, 130673, 132684, 138372, 142567, 145153, 151631, 156204, 131103, 135818, 139315, 143223, 147994, 152709, 156701, 129051, 134913, 136473, 142789, 148153, 149606, 153030, 130772, 136424, 138299, 140737, 147669, 149905, 155677, 128634, 133971, 138854, 140583, 147831, 152384, 155767, 128458, 133779, 139827, 144063, 145298, 151944, 153962, 130829, 136087, 138871, 143283, 147791, 152831, 153932, 128634, 132865, 138607, 142956, 144657, 151702, 156154, 132232, 135599, 137893, 142622, 145907, 152804, 153504, 128634, 133558, 137350, 140652, 147768, 149381, 156371, 132193, 132865, 137711, 143692, 146840, 150697, 155954, 129045, 132874, 137672, 144006, 146526, 152809, 154500, 131397, 135475, 140223, 143155, 145162, 150433, 153559, 132193, 134552, 139687, 144319, 147905, 152536, 155170, 129045, 132874, 139650, 141116, 145304, 149159, 153798, 130929, 134914, 139464, 140975, 148068, 149604, 153758, 128868, 133025, 140288, 142932, 147259, 150569, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134971, 140060, 142436, 148200, 152576, 155262, 132328, 136318, 137091, 144247, 147194, 150554, 153967, 128634, 135358, 136606, 144090, 146530, 149866, 152906, 129539, 135200, 138285, 142007, 147404, 152626, 153696, 129718, 132573, 139247, 144574, 146358, 152338, 154199, 128634, 136284, 140079, 140647, 147791, 152361, 153389, 131039, 134421, 136686, 142609, 147786, 149186, 153658, 129718, 134913, 140401, 142531, 148192, 149026, 155150, 129048, 133228, 138619, 142604, 146573, 152489, 155562, 131530, 134498, 139893, 141451, 147413, 152535, 155150, 131035, 134325, 139919, 143332, 144664, 150292, 156740, 130124, 134951, 136800, 144450, 148274, 150995, 153421, 132193, 136007, 138382, 143703, 144745, 149597, 156716, 128634, 132835, 139570, 143187, 148585, 151028, 153385, 130751, 132504, 139411, 140740, 145153, 150771, 155951, 128634, 135258, 138100, 142807, 145123, 148921, 155170, 129273, 132865, 138786, 144308, 148650, 152326, 155456, 131397, 135347, 138807, 141655, 145783, 151097, 153428, 131543, 134945, 138699, 140679, 145818, 150469, 153498, 131397, 132471, 137490, 143923, 147093, 152630, 155716, 131104, 135071, 138409, 141399, 147359, 151028, 154379, 131858, 136447, 138539, 140944, 145177, 150247, 154524, 129423, 136136, 138605, 141547, 145695, 152539, 153253, 128750, 133407, 137326, 141593, 145965, 150443, 153143, 130552, 133574, 137280, 142377, 147568, 150628, 154653, 130334, 132433, 137794, 142048, 146386, 152168, 156264, 132151, 134098, 138026, 142048, 147181, 149925, 156264, 128813, 133766, 138878, 144499, 145647, 152603, 153606, 132265, 136061, 137609, 140871, 148589, 152768, 154648, 130336, 132717, 139203, 144318, 147632, 149159, 156370, 131713, 132513, 137220, 142456, 146043, 149762, 154396, 130124, 134254, 136827, 144398, 146364, 150016, 154265, 130039, 132874, 139736, 142989, 145771, 151851, 155282, 128634, 132790, 139669, 141230, 146023, 150481, 156619, 130336, 135811, 136541, 143123, 145691, 152383, 156864, 131341, 134250, 137846, 143712, 145349, 149331, 152871, 132239, 136389, 137848, 141836, 146250, 152089, 154004, 130619, 135806, 138233, 142897, 147953, 149832, 152905, 129976, 133010, 139938, 141386, 144745, 150033, 154639, 128634, 133010, 137416, 140902, 146023, 151790, 153881, 130239, 133358, 137687, 141705, 148104, 150633, 153794, 130487, 132528, 137220, 142885, 148262, 151236, 155554, 130319, 134580, 137810, 141444, 148276, 150210, 155007, 129273, 135074, 139920, 142311, 145253, 150595, 152988, 131643, 134037, 139316, 140997, 145349, 149044, 156367, 131035, 132394, 139179, 142311, 145793, 149267, 152898, 130124, 134951, 139768, 142134, 147239, 151838, 155673, 131563, 133326, 137081, 140697, 146583, 151603, 155189, 128634, 134449, 138811, 140771, 145183, 149099, 153059, 129045, 133407, 137488, 143541, 147559, 149812, 155224, 128417, 133526, 138931, 143000, 146737, 150877, 153528, 131858, 135861, 138175, 143374, 147166, 149462, 155793, 130244, 134138, 137097, 143228, 148449, 152274, 156370, 132106, 134635, 140235, 142951, 147470, 150538, 153319, 129631, 134744, 136844, 142404, 146102, 150289, 155682, 131858, 135316, 137130, 141604, 148055, 151957, 156236, 131397, 132909, 140426, 142618, 148562, 149289, 153437, 131035, 134525, 139570, 142489, 148153, 152630, 153755, 131397, 132915, 139384, 142339, 147763, 152226, 156267, 131851, 135010, 138251, 140717, 148691, 151457, 155895, 132193, 136001, 137889, 144576, 147029, 152714, 154223, 129949, 132445, 138662, 144055, 145222, 150362, 155046, 129981, 133672, 136867, 143187, 146725, 150936, 153238, 128873, 132445, 137243, 141786, 146929, 151831, 154286, 129273, 133356, 137343, 142813, 146811, 151517, 154466, 131035, 135503, 138371, 143389, 148168, 149032, 152847, 132193, 135023, 137578, 143325, 145080, 152766, 153835, 129273, 133125, 139301, 142648, 147466, 149016, 153734, 131035, 134044, 137605, 143253, 144888, 150319, 156378, 131652, 133475, 138306, 144543, 146566, 152804, 156645, 130178, 136230, 138437, 144090, 145357, 152404, 155677, 128275, 135535, 139124, 144090, 144752, 148852, 156199, 130255, 135356, 138400, 142190, 144859, 149453, 155328, 128813, 133818, 140109, 141562, 146342, 151762, 154064, 131884, 135522, 137206, 140628, 147519, 152822, 153471, 131397, 134590, 139577, 143732, 146283, 151062, 156357, 131409, 135358, 137878, 142134, 145959, 150105, 155381, 129575, 134449, 139356, 143934, 146900, 150777, 155750, 128850, 134821, 139033, 141266, 146358, 149561, 152891, 131035, 133215, 137744, 143814, 145527, 152283, 155131, 131397, 135199, 136515, 142344, 147525, 151388, 155203, 131563, 133932, 138864, 142117, 148350, 151055, 156364, 131961, 134591, 138767, 140620, 146105, 150089, 153483, 129273, 132576, 138801, 141726, 148465, 151118, 154305, 131397, 135713, 139916, 143059, 148613, 150322, 153175, 128956, 132455, 138849, 144327, 145976, 149845, 153192, 129045, 134782, 136569, 141010, 147823, 149047, 153751, 131543, 133143, 138382, 141076, 146105, 150791, 153298, 129575, 134509, 137197, 141109, 144749, 152525, 155250, 131505, 135026, 136669, 141293, 146284, 151865, 152970, 130178, 133392, 139026, 141865, 146033, 150944, 153535, 131654, 133524, 137612, 140682, 146106, 150389, 155788, 129092, 132868, 137564, 141338, 144901, 149425, 154847, 131104, 136037, 137242, 143243, 147359, 149446, 153798, 128634, 132865, 139412, 141582, 146837, 151215, 154275, 131035, 135544, 137391, 141299, 145444, 150065, 152881, 129572, 136136, 139556, 143788, 144782, 151366, 155800, 128465, 132644, 136658, 143453, 146575, 149747, 153760, 132253, 136425, 139376, 140700, 147849, 149467, 154240, 129073, 136291, 137967, 140641, 147298, 150169, 155121, 129185, 134378, 139521, 141475, 148449, 152411, 154345, 131397, 135583, 140110, 141437, 146603, 151937, 154124, 128309, 133453, 138221, 141455, 145947, 151904, 153782, 131188, 135276, 138497, 142926, 147454, 150097, 153706, 131104, 136382, 140231, 144458, 145279, 149246, 154014, 128669, 133537, 136787, 141967, 146110, 152465, 153739, 131652, 134983, 139165, 143610, 146409, 150451, 153177, 131619, 132398, 139643, 143143, 146471, 152169, 153442, 129738, 134173, 136879, 144636, 147416, 149655, 155526, 129496, 135147, 140317, 142928, 147749, 151339, 153051, 131782, 132461, 139426, 143021, 146189, 150499, 156559, 130444, 134940, 136889, 141601, 145867, 152172, 154220, 130165, 134931, 138289, 141506, 146763, 152385, 154504, 129898, 135226, 137178, 142519, 147261, 149813, 154509, 131223, 135317, 139561, 143894, 147726, 152550, 154295, 131652, 132391, 136844, 144079, 144679, 148756, 156493, 129438, 134370, 139613, 141568, 148514, 149657, 154355, 131529, 133547, 137265, 143998, 147259, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 105812, 60388, 16507, 120562, 39797, 20548, 103838, 98410, 737, 12636, 13, 128009, 128260, 128261, 128257, 128868, 132788, 137637, 144184, 147707, 149355, 154139, 129092, 134390, 137852, 141109, 144664, 149269, 154325, 128634, 133262, 138031, 141644, 147914, 150166, 154684, 128652, 132369, 136788, 142497, 147818, 152838, 153941, 130321, 133771, 138394, 144090, 147657, 149799, 154508, 131670, 136422, 136768, 141455, 146505, 150710, 153075, 130244, 135665, 139196, 144522, 148449, 149723, 155781, 131543, 135316, 137338, 144410, 146728, 150360, 153974, 129116, 132445, 139676, 142284, 144895, 152261, 153954, 128889, 134508, 138823, 142127, 147298, 150488, 155273, 131397, 133132, 136894, 144069, 145413, 151150, 156699, 130204, 135453, 139454, 142947, 145232, 150059, 154239, 130096, 136428, 138937, 144074, 146167, 148836, 155879, 131670, 135010, 138489, 142087, 146475, 148852, 155272, 130244, 133332, 137557, 141195, 148449, 149858, 152967, 129479, 134662, 137269, 141836, 146745, 150690, 156431, 131543, 135856, 140339, 144036, 147487, 148988, 153298, 131397, 136162, 138891, 143259, 148450, 151430, 154542, 131288, 133045, 139078, 141972, 145517, 148842, 153079, 129273, 134217, 137557, 144634, 148313, 151637, 153954, 130604, 135448, 136469, 143895, 146409, 150132, 154243, 131652, 132797, 139703, 142591, 148514, 149301, 156374, 130929, 135317, 139815, 142631, 148506, 149325, 154208, 131482, 132571, 137382, 140983, 148731, 149175, 153977, 128983, 136443, 136619, 140983, 147181, 151232, 155328, 130997, 133489, 136910, 142813, 145861, 152572, 155085, 128357, 133678, 136680, 141513, 148334, 148761, 153620, 128634, 135864, 136968, 143666, 144745, 152624, 156231, 130829, 133407, 139261, 142527, 145183, 149391, 153907, 131821, 133817, 139250, 140763, 147359, 150454, 154421, 128343, 133985, 138122, 141865, 145924, 148833, 153523, 132103, 132773, 136793, 143310, 148424, 151135, 154510, 129045, 133993, 139278, 141707, 146599, 151550, 154171, 130829, 133325, 140239, 144102, 147405, 151364, 154733, 132098, 136318, 137958, 141709, 148310, 150620, 153836, 128652, 133361, 140307, 142095, 146094, 150719, 156742, 131104, 136297, 139196, 143446, 145937, 152827, 155450, 131543, 134138, 136749, 140782, 147914, 151672, 155243, 129012, 132542, 139751, 142955, 146486, 151147, 155243, 132193, 134252, 139976, 143847, 146710, 152768, 155344, 130204, 132972, 139807, 142395, 146816, 152162, 154250, 131044, 133506, 140206, 143911, 148135, 150319, 153648, 130255, 133180, 137264, 144090, 147605, 151048, 153127, 130929, 133518, 137369, 140882, 147609, 149132, 153725, 128813, 132987, 137369, 144295, 146054, 148756, 156672, 128983, 136443, 136619, 142924, 148731, 149175, 155014, 130847, 134191, 138233, 142437, 147348, 149387, 155185, 128634, 132517, 139866, 143732, 148508, 148838, 156629, 131104, 133685, 139730, 142402, 148509, 150272, 153129, 129462, 132998, 136654, 142317, 148205, 151722, 156023, 129164, 135336, 138775, 141494, 148352, 152600, 156183, 131014, 134217, 136889, 142854, 148262, 148951, 154325, 132106, 133361, 137531, 142741, 145917, 152803, 153185, 130740, 133580, 136623, 143227, 144732, 151757, 153257, 128893, 133399, 138823, 142919, 145748, 148927, 153687, 129273, 133085, 140039, 140717, 148613, 152277, 155869, 129106, 136037, 139200, 143608, 147342, 150021, 155435, 128732, 135553, 136775, 140569, 147826, 150710, 155342, 131318, 135552, 137367, 144151, 146906, 151926, 155436, 132028, 133421, 137844, 143712, 146156, 152364, 153421, 130255, 133996, 139587, 144563, 146925, 149250, 155068, 132247, 134098, 137794, 141849, 144721, 152348, 154120, 128258, 128262 ]

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

[ 128259, 128000, 101579, 276, 64566, 74778, 33573, 30333, 15606, 602, 95948, 113950, 4355, 52438, 277, 16507, 105735, 2448, 2329, 68228, 108426, 126255, 13, 128009, 128260, 128261, 128257, 132191, 133318, 139283, 141945, 146546, 151201, 155127, 129539, 135498, 137880, 144055, 147694, 150801, 153813, 129012, 135569, 139646, 142262, 147751, 148932, 154055, 129273, 134712, 139301, 141537, 147371, 150454, 156495, 131035, 135023, 138399, 142372, 146674, 151179, 156711, 132193, 133735, 137441, 140769, 145387, 150945, 153992, 131421, 135626, 138462, 143610, 148424, 149918, 154296, 132106, 134878, 138120, 142279, 148427, 151796, 155936, 129385, 133519, 137697, 143218, 144702, 150978, 155772, 129539, 135706, 140250, 141370, 145134, 149323, 153058, 132098, 135737, 140535, 144540, 145132, 152527, 155791, 131035, 133268, 139409, 143378, 147768, 149420, 154170, 130124, 133836, 137095, 141345, 146850, 152646, 154093, 128969, 134939, 140137, 141490, 145183, 151566, 154411, 128652, 132666, 136688, 144373, 147827, 149173, 155204, 128634, 135206, 137354, 144085, 145152, 152241, 154738, 129051, 132605, 138319, 142120, 147341, 151634, 153171, 129185, 134991, 138575, 143110, 148424, 149521, 156132, 129432, 135206, 137260, 144569, 148653, 150289, 153945, 128882, 133352, 137625, 142747, 146188, 149277, 155513, 129273, 134741, 136463, 144369, 145123, 152750, 153036, 131104, 134586, 140550, 143056, 144743, 152795, 156677, 131409, 133993, 139874, 141400, 146016, 150446, 153852, 128828, 136159, 137814, 142249, 147371, 148855, 156571, 130239, 135079, 140237, 144452, 147348, 151681, 154596, 129933, 132649, 139135, 141890, 148135, 151551, 154434, 129221, 133653, 137232, 144557, 147261, 150213, 155621, 130255, 134370, 136922, 141853, 146870, 150831, 155265, 132318, 133327, 138093, 143522, 146108, 149074, 153795, 128983, 134893, 136468, 140983, 148731, 149881, 153977, 132185, 134205, 137593, 141689, 145251, 152270, 153589, 131035, 134137, 138849, 141884, 146505, 151041, 155744, 130829, 133993, 138820, 144041, 148209, 150166, 155392, 129012, 135626, 136672, 141732, 147751, 149408, 152887, 130244, 135665, 136652, 140748, 147914, 152511, 156147, 129575, 135316, 138009, 143962, 146670, 151219, 153428, 131858, 132844, 137599, 142406, 146426, 150988, 152925, 131397, 134508, 140273, 141071, 145516, 151816, 154867, 131104, 132915, 138988, 141816, 146362, 150764, 154418, 131543, 132888, 138390, 144356, 147741, 150867, 154005, 128634, 135908, 140260, 144482, 146281, 151062, 155158, 128459, 132620, 137846, 141058, 148381, 151864, 156623, 131000, 136107, 137446, 142538, 148509, 150524, 153666, 131104, 132492, 138282, 143020, 144783, 149425, 156144, 131035, 132572, 137061, 140997, 146443, 152430, 154962, 129273, 133756, 137231, 143265, 148385, 150134, 155275, 130347, 136136, 137233, 143020, 145527, 149519, 153483, 132246, 135054, 138245, 141939, 145058, 149230, 154315, 130412, 135071, 138483, 142215, 145516, 151177, 154754, 131215, 135864, 140235, 144177, 148673, 152581, 154860, 131409, 136425, 139228, 141867, 146705, 150521, 155166, 131543, 133064, 137561, 144553, 146900, 149381, 153048, 131778, 136320, 137314, 144212, 147225, 152070, 153893, 129862, 135370, 137876, 142198, 146400, 151910, 152865, 128296, 135662, 138707, 143359, 148094, 150783, 155633, 131543, 135385, 139873, 142901, 146127, 149471, 155665, 131323, 132617, 136910, 143834, 147155, 152483, 154989, 130763, 135069, 137671, 143570, 146831, 152086, 155151, 131559, 132531, 140116, 142409, 146033, 150377, 155902, 129243, 136379, 139438, 143534, 146033, 150038, 156927, 132318, 135954, 137179, 143911, 146931, 152168, 156366, 128258, 128262 ]

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

[ 128259, 128000, 48880, 1031, 72, 5320, 74778, 332, 45949, 26693, 11, 297, 116002, 29147, 352, 45949, 90513, 281, 30333, 55888, 281, 30333, 55888, 44314, 569, 3862, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 128804, 136166, 136910, 142031, 146126, 151201, 154262, 131035, 135864, 136875, 140591, 148152, 151176, 154754, 131104, 136292, 137158, 141137, 145162, 149843, 154131, 130854, 134813, 139596, 141122, 147541, 150677, 154121, 128634, 133010, 139250, 142095, 146965, 151128, 154036, 130421, 132844, 138776, 142776, 146247, 149893, 153306, 130589, 136292, 139644, 141253, 146710, 152516, 153920, 130751, 136064, 138930, 140742, 148580, 152176, 155133, 128964, 133618, 139575, 143268, 146426, 152831, 155131, 129987, 133558, 138273, 142134, 145907, 149538, 153936, 130776, 133399, 138786, 141346, 147963, 150712, 154187, 130149, 132654, 136871, 141322, 146256, 149132, 155143, 131222, 135763, 139628, 142223, 148478, 152162, 154001, 129718, 135459, 137643, 144029, 145885, 151948, 154282, 131937, 132413, 140087, 142591, 148047, 149258, 153421, 129292, 134349, 136868, 140862, 145900, 150208, 156163, 129273, 135564, 138542, 141434, 147650, 150471, 155988, 129601, 135561, 140000, 141794, 146701, 152101, 153964, 131819, 134339, 138511, 141950, 148596, 150504, 156257, 131104, 135606, 137299, 141338, 144743, 151132, 155327, 131543, 132895, 138327, 143943, 147525, 150424, 153015, 128945, 134217, 137897, 143302, 148596, 151122, 155216, 130758, 132551, 139406, 140694, 148068, 149083, 153239, 128868, 133025, 138340, 142932, 147259, 149881, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 133318, 140337, 144384, 148200, 149904, 155231, 131704, 133883, 138233, 143997, 144805, 148973, 154749, 128893, 136039, 138853, 144630, 147525, 150424, 155701, 131018, 136266, 137377, 140932, 146875, 151484, 155993, 130846, 134867, 139474, 140608, 146831, 151482, 154232, 129750, 135908, 138702, 141182, 145503, 152755, 154900, 131397, 134232, 136687, 144627, 146520, 149144, 153775, 129735, 136297, 136663, 141403, 147962, 149524, 153245, 128675, 135202, 138782, 142362, 147682, 152300, 153326, 130146, 133597, 138057, 142647, 146801, 152147, 153297, 129273, 132708, 140297, 144541, 146840, 152281, 155760, 128557, 135237, 137079, 140816, 146813, 152154, 152902, 129352, 133655, 137053, 140637, 145556, 149484, 153487, 128634, 135503, 137474, 141586, 145889, 150169, 154862, 129292, 133771, 140127, 141945, 145110, 150740, 153826, 129045, 135856, 138879, 141315, 146094, 151603, 156211, 131187, 133993, 138385, 142533, 148632, 152603, 156007, 129575, 134937, 139084, 143050, 145906, 152569, 155830, 132193, 132425, 137379, 143507, 146741, 150956, 156768, 130124, 133305, 139443, 144089, 147791, 150185, 155764, 128956, 136307, 138817, 141663, 145251, 152219, 155898, 129898, 132840, 139508, 144612, 146068, 149569, 154311, 131654, 135926, 139237, 144170, 148624, 152786, 155892, 130282, 133287, 138701, 143464, 145132, 152714, 154942, 129286, 135311, 136563, 143408, 146728, 149883, 152845, 129048, 134508, 139701, 142123, 145197, 150846, 152887, 131884, 133667, 137567, 143026, 147373, 150573, 155959, 130451, 133806, 138853, 143656, 146939, 148838, 152918, 131652, 136089, 136973, 144302, 147287, 150672, 153222, 129286, 134937, 138127, 140881, 147743, 151577, 156774, 129667, 133037, 136828, 140644, 144743, 149678, 155961, 128850, 135214, 140158, 141899, 144907, 149191, 154187, 131884, 136150, 136800, 143480, 146242, 150327, 156905, 132103, 134295, 140153, 141062, 145763, 150065, 153162, 128592, 135423, 137770, 144568, 147309, 151854, 155308, 129423, 133435, 136658, 144386, 147311, 150149, 156314, 129575, 132542, 139301, 143247, 148660, 149442, 156132, 128758, 133985, 137363, 142323, 146912, 149527, 154375, 130244, 134973, 138241, 141619, 147298, 149592, 156648, 129496, 133125, 138034, 140844, 147149, 152464, 153615, 131505, 132741, 136995, 144152, 147813, 150687, 155881, 129933, 135889, 137636, 143674, 146802, 148889, 152871, 131223, 132516, 140273, 141753, 146800, 150147, 156463, 130448, 135081, 137884, 142100, 145188, 148756, 156117, 128868, 134916, 140443, 142810, 146386, 151343, 154697, 128258, 128262 ]

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

[ 128259, 128000, 7098, 63999, 68233, 17774, 28985, 11, 17774, 28985, 11, 17774, 28985, 103810, 128009, 128260, 128261, 128257, 132151, 135924, 137439, 142151, 147568, 150557, 153003, 131283, 134318, 138269, 140564, 146859, 148756, 154120, 128983, 134893, 138125, 142756, 148068, 150948, 156754, 129264, 134345, 139624, 142504, 147298, 149376, 154085, 129273, 135767, 138483, 140740, 148437, 149939, 153357, 129385, 132859, 138391, 144389, 145970, 152404, 155055, 128859, 136428, 136989, 143323, 148192, 149261, 156556, 129621, 135806, 138949, 143639, 146741, 152829, 155431, 131035, 134625, 137787, 141974, 147485, 150848, 153262, 128652, 136136, 139162, 143145, 148585, 151250, 156794, 132193, 133200, 138096, 143084, 144812, 150702, 154489, 129273, 135569, 140223, 143885, 145695, 150866, 154111, 131397, 135199, 139617, 143624, 146124, 150395, 154938, 129496, 135352, 139540, 143033, 145870, 152728, 154230, 131014, 133435, 139832, 143494, 145147, 152570, 153523, 131238, 132472, 138931, 141164, 144893, 149224, 155463, 129738, 135483, 139814, 142328, 146089, 152154, 155788, 128827, 135239, 138560, 143590, 148168, 149467, 153572, 130860, 135229, 136532, 142558, 144734, 151471, 154707, 131652, 133755, 137683, 140923, 146409, 151898, 154456, 131318, 135540, 137506, 140610, 145808, 152269, 155706, 129446, 134945, 138602, 141715, 146059, 149283, 153648, 131999, 135889, 137192, 142641, 147484, 151416, 154228, 132239, 133465, 137139, 141846, 148242, 152526, 154178, 130929, 135155, 137794, 142403, 146428, 151714, 156839, 131164, 132576, 138321, 142724, 147604, 152446, 155934, 132193, 135796, 139012, 142231, 147839, 151174, 156723, 131651, 135948, 138910, 141490, 144857, 151819, 153375, 129273, 136025, 137291, 143338, 148313, 149028, 155192, 128956, 133075, 140119, 144574, 145517, 150123, 156831, 128827, 136289, 138890, 140561, 146158, 151620, 156917, 130860, 135316, 140321, 143786, 145924, 150713, 156711, 129933, 132649, 137013, 142277, 146179, 148865, 154425, 131318, 136446, 136464, 144309, 148174, 151931, 155464, 128691, 136456, 138031, 144317, 147536, 150041, 153975, 128698, 136322, 138700, 143399, 148135, 149292, 156378, 129933, 135416, 138159, 144047, 148535, 151664, 156493, 132028, 133745, 137315, 142388, 147673, 152731, 156139, 130758, 136192, 140379, 143606, 145643, 150102, 156260, 131164, 133358, 138041, 143258, 147730, 152238, 156766, 129423, 135442, 136511, 141674, 147227, 152207, 155307, 131651, 135573, 137843, 141771, 145757, 152436, 152931, 129273, 134624, 136753, 144319, 147435, 152438, 155763, 129738, 133495, 139754, 144574, 145110, 150284, 153241, 129898, 134973, 139087, 144202, 148051, 149569, 152852, 131223, 132516, 139393, 141893, 148367, 149198, 156525, 131821, 133817, 139661, 143238, 145153, 151342, 154504, 128634, 135880, 139169, 143161, 146468, 151637, 153763, 129738, 135083, 137983, 143241, 148313, 151337, 155777, 131397, 135010, 136982, 144274, 147487, 152275, 155124, 130473, 132865, 138786, 143749, 146281, 152123, 156551, 129552, 135489, 138483, 143692, 147487, 151543, 153943, 130012, 134861, 139714, 144356, 146096, 150609, 154708, 132185, 133766, 140225, 142436, 145964, 149175, 156291, 130334, 134971, 137952, 142086, 146386, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 43712, 26419, 5308, 936, 1370, 3862, 104729, 379, 1201, 3862, 96548, 72813, 26693, 104031, 72, 11, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 147259, 150047, 154597, 128983, 134205, 137530, 142726, 147707, 150017, 154403, 131187, 133546, 136547, 144357, 147994, 150083, 155342, 129738, 135943, 140055, 144280, 145695, 150520, 153218, 130210, 133211, 137558, 140907, 147470, 149651, 154897, 130321, 133727, 138012, 143221, 147016, 150001, 154779, 130772, 136117, 137896, 143509, 148716, 149244, 156188, 130844, 133135, 138495, 143464, 147322, 149114, 155009, 130412, 132865, 138272, 141189, 145153, 148927, 154163, 131104, 132874, 139147, 144626, 146216, 151884, 156864, 128634, 134006, 136873, 141817, 144916, 150890, 156719, 132193, 134104, 139125, 143709, 146551, 152652, 154385, 129981, 133245, 140335, 143008, 147829, 150186, 154640, 129575, 133790, 137094, 140992, 146329, 151603, 153147, 129792, 133790, 138278, 143113, 145630, 151210, 153978, 128758, 135486, 139749, 140860, 147068, 149843, 155113, 129792, 134388, 140055, 143674, 144713, 151160, 154276, 131619, 135861, 138879, 140667, 144882, 151170, 154952, 130854, 134258, 136857, 143065, 147941, 150726, 156042, 129273, 136064, 139071, 142363, 148084, 152117, 155029, 130239, 135206, 137171, 144334, 145927, 152279, 156088, 129286, 134458, 138978, 141632, 147730, 150138, 155145, 131065, 134276, 138158, 141606, 145373, 152220, 156781, 129575, 133407, 140112, 140717, 148149, 148909, 153005, 129185, 134624, 137186, 143673, 148636, 151014, 156028, 130829, 135071, 139666, 143107, 147791, 152836, 153522, 129735, 133817, 139505, 143601, 146332, 149866, 155067, 129423, 134821, 140143, 144239, 145260, 151666, 155177, 131397, 134452, 140478, 141547, 145203, 151612, 155639, 131035, 134700, 139894, 144024, 147273, 151068, 156922, 130311, 132915, 139026, 142987, 146694, 150292, 154254, 131035, 133685, 137549, 141268, 148010, 150826, 154521, 130465, 135820, 139817, 142254, 146259, 151510, 154863, 131652, 132766, 138879, 142099, 147823, 150136, 154611, 131223, 133524, 137657, 140945, 145405, 152667, 153421, 128343, 135053, 139474, 143321, 146281, 152668, 156547, 129012, 133305, 138601, 141007, 146740, 151491, 156147, 131014, 135221, 140479, 142527, 145153, 151028, 156607, 129813, 133403, 139938, 143138, 145351, 151686, 153067, 129292, 134424, 139068, 144594, 148477, 152618, 153860, 131858, 135330, 140260, 142566, 144657, 151176, 153929, 130124, 134254, 139847, 141379, 144808, 151455, 154346, 131543, 132865, 140408, 144046, 145695, 151539, 156500, 129286, 136136, 140543, 144291, 145153, 150991, 155087, 131821, 135347, 136816, 143663, 147359, 151941, 156312, 131035, 133511, 139847, 142055, 146816, 149082, 155572, 129471, 135064, 136631, 141873, 145894, 152439, 155515, 129273, 134712, 140388, 141316, 148262, 151452, 154725, 131417, 134070, 138306, 142329, 145795, 152777, 154569, 128343, 135506, 136960, 142704, 147875, 150153, 156547, 130124, 135988, 136658, 144337, 147278, 150428, 153471, 128652, 136073, 138348, 140823, 146678, 150946, 154199, 130223, 133453, 138003, 140985, 147791, 150326, 155959, 131397, 135503, 139510, 144369, 145799, 151517, 156763, 128652, 134741, 137835, 142037, 147541, 150183, 153473, 128634, 134464, 137904, 141935, 145330, 152584, 153843, 131104, 136177, 138061, 140982, 145045, 149054, 153734, 129572, 134012, 140295, 143232, 147545, 149418, 155782, 128343, 133407, 137639, 142441, 145156, 148833, 154028, 128469, 133888, 138283, 140559, 145844, 150610, 153395, 129021, 135670, 140262, 144358, 148696, 149110, 153416, 130878, 135004, 137773, 140830, 147775, 149657, 153876, 128868, 134153, 137392, 143678, 146386, 151343, 154697, 128258, 128262 ]

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

[ 128259, 128000, 50, 103595, 124879, 51387, 982, 74853, 10462, 11, 104511, 103384, 55008, 98329, 1609, 668, 15907, 105620, 13, 128009, 128260, 128261, 128257, 129364, 133766, 140046, 143728, 147219, 150157, 154171, 128712, 132914, 138046, 142663, 147047, 151846, 155507, 132193, 133005, 140012, 140555, 147905, 151049, 154793, 129496, 132708, 137250, 141372, 147211, 151796, 155767, 131164, 136076, 138310, 143681, 148352, 152696, 155727, 128758, 132542, 136771, 141798, 147965, 151690, 153858, 132265, 134904, 138074, 142850, 146710, 149499, 155133, 128634, 132874, 139602, 144134, 147578, 150935, 156506, 129665, 136079, 138993, 143089, 145104, 151026, 153411, 131014, 134157, 137264, 144590, 147000, 149341, 154393, 132064, 134878, 138692, 142077, 145763, 150968, 154707, 129446, 135566, 136562, 141679, 147470, 149331, 156797, 129718, 134521, 139508, 143023, 144713, 149895, 153255, 130321, 132831, 137397, 143319, 147618, 150767, 156819, 129045, 135833, 136616, 143371, 145620, 151601, 154412, 131397, 132972, 138488, 141109, 147994, 149662, 153397, 131671, 132591, 137197, 144445, 146169, 152137, 156855, 131543, 133125, 137972, 142782, 145436, 151012, 156076, 131104, 132598, 136894, 143502, 148313, 150308, 155984, 129116, 134773, 138889, 141322, 145420, 152329, 154223, 128669, 134376, 139472, 141187, 148337, 152021, 154557, 129388, 133537, 138914, 143389, 146850, 148813, 155398, 129967, 134991, 138810, 141869, 145659, 149885, 152952, 130121, 135772, 138037, 143513, 145670, 150167, 156183, 131652, 133762, 137544, 143472, 148552, 150915, 153523, 132293, 132516, 137520, 141940, 145795, 152673, 153346, 131044, 136218, 140109, 144205, 148552, 150246, 154097, 131197, 133240, 138139, 143131, 145528, 151323, 156230, 130929, 132526, 137773, 144205, 146488, 151704, 154233, 128813, 133089, 139983, 142725, 145313, 150187, 153271, 128983, 136443, 136619, 141689, 148731, 151116, 154887, 128868, 135280, 136619, 143137, 145606, 149712, 153549, 132098, 132817, 137985, 142319, 147359, 151322, 154652, 131421, 133360, 138027, 142191, 145846, 151729, 154268, 132098, 133639, 139538, 141906, 146672, 150465, 153134, 130321, 134280, 140035, 144222, 146015, 150881, 155403, 131007, 134069, 139371, 142086, 148677, 150278, 156243, 129116, 136023, 140126, 141202, 147093, 150222, 153072, 128969, 133185, 138271, 143929, 147093, 151648, 155750, 131035, 134448, 138680, 142586, 147749, 148908, 155161, 132103, 134070, 140064, 144037, 145128, 150348, 155466, 128652, 133653, 137285, 142321, 147953, 150067, 154802, 128995, 135455, 138940, 143820, 148355, 152672, 155367, 129012, 134217, 139742, 140734, 144933, 152264, 156253, 131442, 134187, 139894, 142254, 146471, 152664, 153295, 130976, 133305, 139883, 143557, 147743, 149377, 156357, 128634, 133796, 140030, 142210, 147093, 151118, 155350, 132098, 135986, 136545, 143729, 146162, 149567, 156396, 129693, 133428, 138655, 140996, 147573, 152190, 154285, 128652, 134878, 139136, 142684, 144677, 150238, 155919, 132017, 136253, 140448, 140714, 145910, 152719, 154123, 129756, 135222, 136618, 140569, 144971, 151971, 154201, 129116, 132874, 136643, 143700, 145063, 150982, 154910, 129671, 133941, 138600, 143219, 146786, 152779, 155925, 130893, 135506, 136936, 143781, 148745, 151714, 155462, 129012, 132389, 140539, 141653, 144933, 152611, 153525, 128945, 136340, 136791, 141195, 147228, 149143, 156076, 131035, 133954, 139900, 144356, 145250, 152353, 153766, 130465, 133125, 138801, 144527, 146486, 150228, 154574, 132193, 132416, 140051, 141910, 147749, 149301, 156621, 131652, 134198, 140141, 140940, 146409, 150925, 154849, 130178, 135317, 138483, 141508, 146357, 150120, 155307, 129243, 135858, 140379, 141066, 145709, 150132, 156264, 131132, 135193, 140432, 142534, 147317, 149574, 156244, 128258, 128262 ]

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

[ 128259, 128000, 82265, 543, 277, 80726, 1167, 1247, 9011, 82, 38511, 5320, 102408, 12574, 101588, 17372, 7488, 1247, 10462, 13, 128009, 128260, 128261, 128257, 128817, 134345, 139283, 141366, 144685, 151895, 156623, 132165, 134534, 140087, 143995, 145556, 150066, 155444, 129045, 132376, 137943, 142325, 145057, 150536, 155124, 130201, 133146, 136675, 141857, 145298, 150297, 154248, 132139, 133228, 140031, 142672, 144759, 151097, 155033, 131035, 135442, 140017, 142801, 148352, 149146, 155002, 132115, 134521, 139355, 144427, 148424, 150658, 153212, 128634, 133257, 137683, 142456, 148585, 151347, 156726, 132193, 136292, 139133, 141740, 146539, 151631, 156170, 131826, 133576, 138538, 140600, 148585, 152438, 156370, 131345, 135300, 140019, 142024, 147093, 149026, 156210, 131244, 134805, 139845, 143026, 148299, 152688, 153768, 128634, 132844, 139557, 142291, 147485, 149456, 153234, 128478, 134252, 138229, 141990, 148235, 150813, 154751, 128669, 133910, 138127, 142394, 148352, 150863, 155243, 129273, 132542, 137103, 143212, 147909, 148806, 152902, 131801, 132445, 139684, 141131, 146741, 148964, 155105, 128288, 135220, 139187, 143946, 146637, 150939, 156013, 128956, 132965, 138657, 144305, 145183, 151379, 156422, 131397, 133403, 139042, 144522, 145620, 148940, 153874, 132265, 135237, 138809, 143122, 148483, 152733, 156657, 128956, 132865, 140189, 140701, 146105, 151643, 153406, 129288, 134662, 136641, 144576, 145646, 151806, 156582, 131188, 136136, 138193, 142845, 148424, 151152, 154112, 128555, 133211, 137525, 142282, 145156, 148774, 155936, 131652, 134376, 138057, 144496, 145983, 150331, 156211, 128634, 136301, 136982, 141846, 144709, 149595, 156676, 131851, 134161, 140356, 144418, 148123, 152831, 155977, 128969, 132500, 140163, 143006, 147227, 152745, 154764, 130772, 135103, 137011, 141129, 145183, 151616, 153106, 129185, 135626, 136766, 144267, 146737, 152836, 156743, 130427, 136414, 138889, 142729, 147228, 149857, 154242, 128639, 133305, 138566, 143502, 147232, 152120, 154036, 128652, 133934, 137940, 141306, 147311, 148934, 155511, 129273, 135126, 137350, 144093, 145695, 152561, 154797, 131397, 132584, 136621, 142216, 145260, 150764, 153877, 131543, 134811, 140051, 144411, 145839, 152276, 153877, 128827, 135477, 139348, 142997, 147965, 150260, 154609, 131104, 133771, 136962, 143457, 147198, 150678, 154182, 129967, 133371, 139102, 141337, 148097, 149799, 155566, 130121, 134665, 139205, 141955, 144831, 152422, 155166, 131606, 135399, 137486, 143533, 146915, 151371, 156365, 130121, 135807, 140230, 141332, 145282, 150944, 155233, 129760, 134278, 137863, 144090, 145188, 152313, 154228, 130178, 133524, 138576, 144475, 145641, 150040, 154683, 130255, 135162, 138876, 144356, 147443, 152841, 154509, 128868, 134916, 140443, 142810, 146386, 151343, 155469, 128258, 128262 ]

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

[ 128259, 128000, 32, 1764, 597, 7442, 272, 2448, 6194, 101873, 13845, 78075, 7370, 11, 113061, 116279, 1048, 105735, 2448, 2329, 277, 16507, 29147, 352, 64566, 4371, 100376, 6634, 3862, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 150314, 154143, 129477, 135280, 138002, 144333, 145748, 150053, 156515, 128712, 134525, 139901, 142738, 144939, 149206, 153573, 129738, 133154, 139196, 142527, 145151, 150436, 153357, 130589, 134525, 137371, 142282, 146503, 151139, 154025, 129432, 135840, 138442, 142624, 144783, 151482, 153392, 128634, 136064, 137233, 141291, 148399, 149968, 156123, 132193, 133839, 137319, 140702, 147057, 148940, 156880, 131826, 133462, 137903, 142715, 148580, 151842, 156912, 128509, 135386, 137550, 144072, 148614, 149529, 153057, 131328, 134161, 138935, 143772, 146666, 149486, 154755, 128956, 132908, 140282, 144245, 145805, 150898, 155788, 129504, 132401, 140040, 142968, 146676, 151581, 155181, 129667, 133407, 140526, 140637, 145520, 151955, 156777, 130336, 136276, 138175, 142446, 145263, 150980, 156599, 128634, 132874, 137272, 144188, 144886, 149275, 156469, 131821, 133010, 139091, 143828, 146728, 149832, 155217, 131903, 134424, 137387, 141189, 148702, 151385, 152929, 128634, 135861, 140388, 143122, 144988, 149391, 154262, 128827, 135148, 138700, 142638, 148380, 152681, 155531, 128634, 136195, 140534, 143666, 148234, 149017, 156607, 131039, 135674, 139261, 143611, 145927, 150829, 153945, 129124, 136342, 140451, 144496, 146477, 151551, 155848, 130013, 132605, 136970, 141865, 145063, 151925, 155979, 130438, 132864, 136571, 140851, 148377, 151514, 156753, 129021, 133635, 139372, 141705, 148214, 150473, 153008, 129693, 135268, 138935, 143279, 148716, 150345, 154560, 129048, 135214, 140385, 141473, 147502, 151432, 156789, 131039, 134608, 138238, 142609, 148229, 152375, 155158, 129286, 134063, 140421, 143456, 146709, 150803, 155987, 129293, 136262, 136907, 142622, 145974, 151831, 155386, 129116, 135911, 140332, 142922, 147702, 149778, 154112, 128634, 135126, 137283, 143381, 145556, 152484, 154093, 130796, 134440, 138674, 143039, 148286, 151960, 156852, 129423, 134444, 139378, 143619, 147468, 149265, 154777, 128859, 132495, 137238, 144644, 147741, 150561, 155042, 130835, 133808, 138442, 143992, 144722, 149935, 155466, 131505, 134931, 139613, 142503, 147846, 151901, 156201, 131081, 136359, 140398, 142427, 145143, 152838, 153101, 128914, 133292, 140537, 142475, 144975, 152801, 156442, 130451, 133045, 138108, 144062, 148642, 151513, 153513, 130336, 133964, 136486, 141426, 144783, 151464, 154815, 128652, 135856, 138442, 141493, 144657, 150533, 153496, 129718, 135921, 139113, 143970, 147019, 148921, 155488, 130796, 133629, 136470, 142293, 147487, 150105, 155744, 131397, 135864, 138282, 143758, 145178, 150697, 154128, 128634, 135921, 137552, 143856, 146089, 150469, 156001, 129423, 132975, 139763, 141648, 145153, 150631, 156862, 131713, 134525, 138827, 143948, 147359, 151312, 156185, 129045, 135523, 140366, 142158, 145057, 151074, 156809, 132116, 135921, 140038, 142624, 148526, 150888, 153664, 131817, 134627, 138984, 144553, 148313, 151397, 155124, 132253, 135214, 140146, 141777, 147525, 151832, 156685, 131188, 133806, 139145, 141516, 147502, 150117, 153052, 128634, 133403, 138890, 142446, 145756, 149440, 153656, 128652, 133503, 140069, 143094, 147943, 150827, 153920, 129423, 132865, 137323, 144030, 144805, 152117, 155091, 131817, 135868, 139550, 144411, 145312, 149781, 156506, 129200, 132414, 137396, 144514, 144971, 152686, 154884, 132106, 135974, 138891, 143235, 147852, 150905, 153758, 129937, 135306, 137525, 144224, 147171, 150973, 153751, 132106, 136455, 136753, 142961, 146145, 149202, 155231, 128956, 133755, 140058, 142806, 148322, 149542, 154105, 129708, 134419, 140041, 140855, 144673, 149655, 156179, 130457, 136414, 137396, 141505, 147093, 152009, 156545, 132064, 133653, 137840, 140883, 145400, 151875, 155752, 129933, 134287, 136474, 141920, 144953, 152603, 154821, 128631, 133069, 136559, 141360, 147713, 149514, 153350, 132028, 135356, 136970, 142277, 147673, 149081, 153856, 132247, 133567, 138724, 140978, 144721, 150259, 154120, 128258, 128262 ]

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

[ 128259, 128000, 25797, 11, 106989, 18551, 111448, 11, 111857, 297, 379, 18826, 109148, 5320, 15606, 62594, 123675, 31285, 1864, 19494, 46800, 22841, 36934, 44386, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132191, 133103, 136855, 144527, 147982, 149502, 156102, 129423, 132949, 139938, 142505, 145237, 150645, 153208, 129273, 135442, 139924, 142029, 147390, 152310, 155816, 128778, 135326, 137736, 144598, 145924, 150700, 156085, 130685, 133757, 139368, 142427, 145367, 152360, 154130, 131538, 132363, 138313, 141412, 146389, 151127, 154598, 128915, 134101, 138061, 141128, 148135, 152312, 156367, 128555, 132414, 136922, 143296, 147953, 151980, 156547, 128634, 134386, 136586, 142877, 145434, 152385, 154056, 129738, 133742, 139950, 141504, 146187, 150393, 156414, 132193, 133332, 139091, 141457, 148355, 150503, 155607, 130321, 134513, 139504, 142631, 148337, 149841, 156644, 128934, 132791, 136960, 140676, 145870, 152763, 154556, 130124, 136073, 140455, 142481, 145332, 149548, 153637, 130702, 133814, 138593, 144403, 147239, 151671, 155272, 132106, 134166, 137083, 140850, 146016, 149391, 156741, 129273, 133085, 137545, 142328, 147494, 152551, 153076, 131104, 135627, 140426, 143194, 146562, 152611, 154491, 132185, 134643, 136936, 141470, 146054, 149904, 155958, 130334, 134971, 137439, 142048, 146386, 152168, 154410, 132151, 134098, 138026, 141689, 147568, 149175, 155313, 131532, 133963, 136683, 144063, 145034, 152786, 153058, 130039, 134349, 140508, 143585, 145954, 152350, 156698, 129667, 133576, 139635, 142042, 146898, 152306, 155031, 131671, 135927, 138740, 141122, 146474, 151423, 154207, 129667, 135018, 139904, 144410, 145929, 149255, 154513, 130462, 134705, 138119, 142857, 145153, 150255, 156849, 128634, 135865, 140209, 144526, 144657, 150422, 154363, 129423, 133056, 136521, 144178, 144959, 151433, 155896, 130070, 135362, 138023, 143019, 144735, 149579, 153320, 129884, 133262, 137871, 143899, 147296, 151671, 156706, 130124, 133319, 139835, 142177, 147452, 152834, 154159, 131713, 135358, 139791, 141225, 146813, 152477, 153057, 129273, 132835, 138489, 140773, 148733, 148806, 154187, 131397, 132915, 140273, 141632, 146772, 150491, 156657, 129273, 135148, 139378, 143480, 147359, 149338, 155613, 129792, 132369, 136474, 144422, 147098, 150491, 156396, 128339, 135219, 138541, 140889, 146533, 149314, 154007, 130998, 133732, 138713, 141470, 145391, 152576, 156819, 130334, 134788, 140367, 142048, 146386, 152168, 156264, 132247, 134788, 139880, 142122, 146386, 150240, 154143, 132106, 133914, 139643, 144000, 144971, 152328, 155901, 129045, 133407, 139649, 140884, 147730, 148981, 152868, 128652, 133257, 140545, 142332, 148619, 149317, 155648, 128969, 133407, 139360, 141578, 147730, 151684, 156442, 130124, 132757, 137448, 142008, 147228, 151970, 154606, 129045, 132552, 139994, 144480, 145781, 150491, 156361, 128614, 135442, 139146, 140769, 145517, 151435, 155295, 129273, 133146, 139943, 141671, 146661, 148746, 154456, 128712, 133113, 138899, 142134, 144775, 149916, 155222, 129273, 134416, 140004, 142481, 146625, 148932, 153262, 129200, 133206, 138641, 141998, 145896, 150763, 155368, 130816, 134277, 140206, 141959, 144992, 149783, 153873, 132193, 134951, 136476, 144395, 145331, 150539, 156732, 131543, 133466, 136469, 141183, 147730, 149146, 152920, 128945, 133619, 139360, 143267, 145965, 152478, 154244, 131409, 135026, 137789, 140857, 144657, 152361, 155392, 130124, 132865, 137039, 142849, 148313, 148945, 154202, 128634, 135048, 136812, 141623, 148489, 149688, 156098, 131104, 134489, 140534, 141978, 145487, 149289, 154815, 131035, 132517, 137377, 143782, 146755, 150328, 154346, 128634, 134534, 139684, 144416, 146093, 152267, 154383, 131397, 136001, 140546, 142648, 146901, 149255, 154513, 130096, 133132, 139875, 141031, 148337, 152637, 155922, 130706, 135644, 139972, 142269, 146298, 149717, 154009, 131961, 134813, 136861, 142566, 146840, 148786, 156495, 130487, 135665, 138394, 144004, 145965, 151408, 153245, 130465, 134551, 139023, 143800, 144895, 151346, 153184, 129273, 133068, 136826, 144360, 148427, 151630, 153698, 130465, 133801, 137363, 142323, 147391, 151366, 155275, 130860, 133985, 136659, 141942, 148144, 152120, 153620, 129898, 134981, 137358, 140650, 148419, 152697, 156492, 131223, 133524, 137750, 144151, 144728, 152749, 156699, 132247, 134098, 137794, 141855, 144721, 152348, 154120, 128258, 128262 ]

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

[ 128259, 128000, 43712, 105735, 2448, 2329, 277, 16507, 126201, 4378, 80726, 120562, 39797, 15606, 18578, 101328, 1247, 68945, 64010, 276, 602, 95948, 113950, 108207, 114705, 68, 31285, 76, 2448, 18244, 100542, 13, 128009, 128260, 128261, 128257, 128813, 134117, 137637, 141006, 145068, 150604, 155263, 131397, 134939, 140240, 142216, 145695, 152768, 153909, 132193, 132908, 138788, 143844, 147359, 151415, 155636, 129273, 135082, 138912, 141698, 145516, 150052, 154412, 131543, 133403, 138858, 142863, 148456, 149160, 155658, 129012, 134101, 138001, 142625, 144972, 151327, 155219, 131397, 134888, 138786, 142520, 145178, 149708, 155825, 131858, 132895, 138766, 140987, 146625, 149555, 154663, 129496, 132818, 137974, 143479, 145106, 150144, 153874, 129045, 133146, 137402, 141830, 146555, 150964, 153917, 128634, 133199, 140297, 143107, 147149, 152511, 156568, 131397, 132684, 139685, 144432, 147304, 148877, 156231, 129273, 134948, 140156, 143411, 145185, 150262, 154265, 132193, 134256, 139326, 142456, 147322, 152792, 154870, 129200, 132875, 139280, 143654, 148397, 150939, 156285, 129045, 134951, 139636, 142847, 147304, 152751, 154044, 131188, 134366, 136668, 140824, 146094, 151970, 155002, 130124, 133993, 139910, 143243, 147150, 148956, 156889, 130791, 133972, 138415, 144501, 147839, 149295, 154134, 132176, 134716, 138767, 141525, 147924, 150726, 155097, 131543, 134000, 138057, 143885, 147509, 152264, 156070, 128614, 134648, 139384, 144043, 147730, 150247, 154055, 129575, 135089, 136852, 141279, 148152, 149208, 156637, 130124, 135237, 137158, 142650, 145298, 151360, 154106, 129045, 132704, 138838, 142254, 146725, 151324, 153735, 132193, 136064, 137451, 144129, 147110, 149768, 153618, 128520, 136064, 139763, 142638, 145162, 149801, 155969, 128783, 135480, 138114, 140769, 146566, 152162, 156857, 131318, 132605, 137624, 143268, 146198, 151773, 156214, 129055, 135902, 138134, 143911, 144693, 149972, 155313, 129880, 133524, 138543, 141995, 145608, 151726, 154611, 132324, 135053, 138323, 144463, 145915, 149915, 154073, 128969, 134764, 138665, 141739, 146197, 152208, 154723, 131397, 135651, 139772, 143568, 147359, 149928, 154784, 131035, 132683, 138244, 142060, 148235, 151826, 154611, 131447, 136364, 136935, 144173, 146382, 152761, 154680, 128634, 133239, 136564, 143780, 145058, 148809, 155580, 132098, 133281, 140127, 144023, 145551, 149543, 155315, 131104, 133917, 137103, 141530, 145298, 149313, 153270, 128631, 134914, 140341, 142026, 145647, 152101, 153101, 130165, 135547, 138057, 140776, 146392, 151454, 155073, 131104, 135755, 140261, 141473, 145298, 150626, 153086, 128827, 136257, 139134, 142493, 147791, 149427, 154006, 131345, 133407, 137595, 144296, 147110, 152516, 154112, 129423, 134741, 136658, 141952, 145153, 151855, 155426, 129384, 135473, 140299, 143652, 144894, 151993, 155822, 132098, 134037, 137632, 143600, 145250, 148748, 155077, 128545, 136326, 138797, 141579, 146623, 148814, 154484, 129273, 132865, 140425, 140668, 147525, 152491, 155980, 130124, 132369, 139607, 140823, 146281, 149999, 154489, 130928, 133872, 139585, 140907, 146861, 149100, 156180, 128634, 135237, 140223, 142955, 145268, 151393, 155977, 130410, 132864, 137846, 144447, 145054, 150554, 155294, 128969, 135319, 139193, 144164, 144971, 151288, 156200, 128652, 134805, 138416, 140628, 146603, 150981, 155466, 128792, 136113, 137086, 144218, 144673, 149179, 155296, 132253, 133993, 140484, 143212, 145846, 148982, 155344, 128439, 132835, 139301, 141570, 145981, 152571, 154867, 129667, 132835, 136673, 141044, 147867, 148829, 154486, 131104, 134489, 140150, 141137, 146777, 148786, 154936, 129273, 133576, 136776, 144127, 147487, 151074, 155954, 130881, 135237, 138224, 144280, 144756, 148843, 155049, 130552, 132603, 137200, 142802, 147568, 149502, 155171, 130334, 134971, 137759, 142122, 146386, 152168, 156264, 128983, 133676, 137439, 140882, 146642, 150501, 155231, 130123, 134130, 136508, 143251, 146426, 149824, 154422, 131014, 134525, 139317, 142882, 148152, 152767, 155209, 128859, 136022, 139589, 141713, 146157, 152215, 154369, 132193, 133868, 139791, 141038, 145203, 150831, 153979, 128945, 132369, 139419, 141683, 146284, 149836, 155151, 129898, 135979, 136654, 140564, 146718, 148835, 155225, 128669, 135573, 136522, 143615, 145593, 150557, 153651, 128634, 133407, 137267, 142843, 146834, 151983, 154577, 129715, 135203, 138875, 143278, 147220, 151188, 154879, 131104, 135103, 136936, 143886, 148585, 152570, 155973, 128645, 133644, 138016, 144218, 146930, 150150, 154925, 129116, 136365, 139605, 141439, 144971, 150601, 154591, 128634, 132874, 136536, 143047, 147149, 151890, 154223, 131409, 134562, 137236, 144647, 147314, 151552, 153548, 131397, 132495, 137744, 140886, 146796, 152182, 153882, 129273, 132890, 140223, 140952, 148580, 150179, 152990, 130336, 135237, 137781, 142905, 147763, 152020, 154314, 128956, 134508, 140228, 143704, 148099, 152718, 154111, 131104, 134508, 139578, 142395, 145545, 151666, 153061, 129273, 135071, 139349, 142936, 147994, 151865, 154112, 129116, 135500, 138851, 143572, 147741, 151435, 155850, 129293, 132945, 136473, 141615, 148744, 150949, 153937, 132045, 133449, 140122, 140569, 147224, 149149, 155993, 130165, 133834, 139114, 141133, 148348, 152526, 156699, 129898, 135185, 138163, 140569, 145716, 152759, 154183, 128983, 132643, 139855, 142377, 147076, 152576, 154034, 130334, 134098, 137952, 142122, 146386, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 47, 1247, 459, 3862, 1026, 276, 111216, 15606, 9427, 278, 13, 23404, 114231, 297, 71952, 579, 42250, 17090, 1565, 58804, 102980, 125171, 220, 33573, 121799, 281, 20099, 104888, 85009, 39797, 3567, 15790, 369, 1029, 277, 16507, 9964, 127733, 15606, 102265, 105521, 103040, 101588, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147259, 150314, 154336, 128983, 133676, 136569, 140882, 146335, 149175, 156621, 130758, 133279, 137574, 143008, 145923, 152627, 154233, 131576, 134305, 139426, 144426, 147628, 149501, 154158, 132193, 135461, 138656, 141641, 146710, 152561, 156910, 128634, 133360, 137272, 143240, 147149, 151033, 153595, 128669, 136065, 139799, 144402, 148484, 152409, 156392, 131133, 132994, 139454, 142100, 147402, 150604, 154324, 130368, 135759, 139540, 142006, 144667, 150681, 155308, 132193, 132835, 137260, 142917, 145516, 152254, 155973, 131397, 134525, 138786, 141097, 147525, 149708, 156607, 128969, 132369, 137940, 144027, 147485, 150226, 156726, 132193, 135287, 139106, 143079, 145928, 152776, 155933, 128828, 132945, 137690, 144108, 146839, 151202, 155752, 130244, 133132, 136487, 144027, 145153, 149476, 156020, 132193, 132835, 139910, 144319, 148585, 152254, 154163, 131035, 133199, 136856, 140872, 147486, 152437, 156317, 129185, 135500, 138891, 141329, 145924, 149202, 154642, 131821, 132666, 138034, 142147, 144704, 149918, 153051, 131104, 134773, 137557, 142130, 147008, 151177, 156699, 130368, 135884, 138306, 144411, 145006, 150678, 155189, 130465, 132492, 138306, 144411, 144951, 151751, 155423, 129708, 133542, 140128, 144206, 145794, 149430, 153656, 131619, 133660, 139747, 140809, 144749, 152475, 156811, 128339, 135461, 139900, 144638, 145085, 149036, 154061, 130465, 132706, 138290, 143951, 145840, 151924, 155342, 130634, 134087, 138691, 141053, 144996, 149655, 156320, 130465, 134201, 139109, 141734, 144685, 149743, 156519, 131007, 136238, 138805, 140864, 144685, 150774, 153648, 130604, 134551, 138064, 142001, 147184, 151635, 153341, 128773, 133262, 140210, 141590, 145433, 152186, 155868, 131519, 133564, 139346, 142260, 145349, 150768, 155282, 131864, 133968, 139994, 143489, 148596, 151123, 156378, 128814, 133105, 138307, 142100, 148552, 148784, 154157, 130861, 133282, 138763, 144121, 145580, 150061, 154233, 129933, 134287, 139941, 144481, 146800, 150092, 154821, 132361, 133069, 136962, 143565, 147673, 151845, 154165, 130758, 133524, 138044, 141463, 147835, 152138, 153003, 132324, 132526, 137844, 144496, 144859, 151116, 156288, 131984, 136443, 139661, 141689, 148042, 150017, 156063, 129642, 135155, 139968, 142631, 145952, 149250, 153540, 129745, 135385, 139416, 141428, 144859, 152731, 153713, 128813, 136443, 136619, 141689, 145380, 152487, 154686, 129045, 133883, 138591, 141249, 148352, 151921, 152939, 129116, 134829, 138686, 141225, 147914, 149564, 155470, 128882, 135887, 138662, 144108, 148078, 150190, 154571, 129813, 133639, 138046, 141162, 146580, 148829, 154044, 129667, 135747, 140253, 143778, 146580, 152571, 155458, 128634, 134274, 139096, 141041, 146894, 151881, 153909, 128436, 132684, 139127, 144082, 147406, 150850, 156824, 131397, 133845, 136621, 143058, 145151, 148932, 154325, 129423, 135811, 137646, 140759, 148046, 148946, 153042, 130673, 132684, 140345, 144441, 145321, 151063, 152902, 129045, 133146, 139888, 144029, 147810, 151620, 155967, 131619, 135633, 136967, 144378, 145907, 150463, 156698, 131821, 133175, 137864, 142544, 145153, 149310, 152888, 130829, 134573, 137091, 142544, 145907, 149204, 155491, 131821, 133360, 139294, 141616, 147887, 151538, 155277, 132193, 135633, 138900, 141623, 146197, 151841, 153734, 131397, 133199, 136975, 141875, 145153, 151362, 155529, 129423, 132921, 137103, 140730, 144805, 152784, 155708, 128634, 135628, 137552, 142836, 147149, 151435, 153634, 131543, 135221, 139091, 140771, 147751, 148963, 155210, 129045, 133655, 138058, 141960, 145056, 149120, 153883, 130424, 132419, 139169, 142527, 146340, 152317, 154785, 131132, 135919, 137862, 142371, 145380, 149143, 153598, 132151, 134098, 137794, 141096, 148731, 150530, 155014, 131550, 136281, 140046, 144259, 147149, 150857, 152853, 129116, 133262, 138239, 144117, 147502, 151549, 154621, 131543, 132684, 138394, 143368, 146216, 150353, 155372, 129045, 136363, 139770, 142395, 144813, 150719, 155886, 131826, 134292, 137362, 142546, 144876, 148809, 153458, 129717, 134329, 137551, 143923, 147759, 150255, 154351, 128436, 132684, 138552, 140759, 146067, 152233, 154622, 131160, 132844, 139053, 142237, 146627, 151435, 153003, 131937, 133342, 138004, 143214, 145808, 149286, 154952, 128859, 135276, 139609, 141931, 144657, 152096, 153505, 129045, 136076, 137578, 142237, 144805, 150327, 153772, 132265, 135747, 139687, 141097, 145153, 151360, 154922, 132193, 136073, 139176, 142520, 146358, 152725, 153796, 131035, 133931, 137922, 143099, 146216, 150328, 154446, 130124, 134951, 137383, 141604, 148152, 152291, 155500, 132146, 133932, 136499, 143099, 146915, 149643, 154194, 128634, 135498, 140422, 143010, 147730, 149988, 155315, 132127, 135655, 139261, 143829, 145082, 152068, 154283, 131884, 134669, 139469, 142691, 147239, 152686, 156096, 128945, 134166, 138237, 141347, 146879, 150325, 153856, 129012, 134413, 138900, 143393, 145153, 149341, 155438, 131397, 132684, 138143, 141517, 148580, 149329, 153858, 128634, 135197, 136870, 142028, 146093, 149486, 153112, 130124, 136149, 139545, 142175, 145177, 149122, 155449, 129718, 135125, 137138, 142511, 145177, 149597, 155449, 131397, 136445, 139242, 144085, 147853, 152636, 156445, 131188, 136136, 136586, 141265, 146281, 152213, 154810, 129667, 134805, 136878, 143056, 146600, 148750, 155252, 128557, 136370, 137303, 141137, 147746, 149824, 153246, 131188, 135320, 136740, 143068, 145352, 149743, 153903, 131543, 132494, 138536, 143772, 145132, 151630, 153738, 131035, 133197, 139495, 143138, 146674, 150252, 156891, 131397, 132915, 140527, 141403, 147436, 149245, 155231, 129273, 135228, 137879, 142385, 148449, 150446, 155687, 129496, 132889, 136518, 140614, 145153, 148806, 156632, 131014, 136348, 137050, 143962, 147136, 149638, 153090, 130591, 132718, 137948, 144411, 147181, 149662, 155188, 132151, 133766, 136619, 142599, 146386, 151214, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 140258, 143147, 148517, 152270, 156280, 129012, 135488, 136583, 141958, 147914, 151619, 154815, 128545, 135916, 140325, 142982, 147792, 151248, 156120, 129423, 135864, 137811, 143957, 148580, 151814, 154798, 129273, 135880, 140527, 143145, 145494, 152390, 156927, 132193, 134759, 137740, 140802, 145919, 151837, 154650, 129273, 135974, 137654, 140754, 147509, 149136, 155889, 129200, 134606, 136599, 143436, 146894, 152154, 153734, 128773, 136138, 139127, 144318, 144805, 151420, 153359, 131551, 135811, 137888, 142097, 145068, 150208, 152929, 131416, 135816, 138442, 141160, 147239, 152709, 155554, 131222, 135950, 140223, 142638, 145656, 151597, 156657, 128634, 136297, 137559, 141069, 147546, 149016, 155438, 131397, 133403, 138726, 140952, 144657, 152446, 156406, 130039, 133806, 140340, 142173, 144886, 149116, 153077, 130147, 133268, 138284, 141779, 146770, 149446, 153036, 131104, 136073, 139869, 142393, 147414, 152431, 154867, 129667, 135199, 136526, 143718, 147487, 150498, 155211, 131104, 134211, 140548, 143032, 148476, 152537, 155166, 130714, 134669, 140335, 141944, 147656, 152404, 154071, 128893, 136039, 139832, 141399, 147525, 152117, 156675, 129258, 135471, 138819, 140759, 144972, 148982, 153755, 129423, 134951, 136854, 143663, 146362, 150393, 155145, 130013, 132877, 138189, 144168, 146572, 149356, 153635, 131652, 135097, 139460, 144468, 145377, 149741, 153186, 130854, 136301, 136683, 142216, 148209, 151666, 154815, 128634, 132381, 139445, 143856, 148662, 149486, 156357, 131155, 135642, 138879, 141649, 144758, 152739, 155074, 130829, 135638, 136978, 143800, 145756, 151405, 156742, 129116, 134805, 137525, 141643, 148728, 152080, 155175, 131850, 135518, 140024, 141451, 147454, 152739, 153588, 128634, 136136, 140158, 142843, 146124, 151035, 153691, 129045, 132895, 138259, 140763, 146340, 149337, 155042, 130418, 132467, 140017, 143611, 148437, 148908, 155244, 131104, 134848, 137829, 143303, 148352, 150177, 154273, 131035, 134862, 137889, 141099, 146840, 149255, 156180, 130362, 134252, 139875, 140901, 146959, 151501, 154765, 132343, 133235, 137605, 141940, 147880, 150416, 155419, 129898, 134101, 139413, 141920, 146156, 150721, 156862, 131269, 134827, 139968, 142100, 146428, 149104, 154314, 130255, 135524, 139438, 142547, 148675, 150776, 156623, 130702, 135561, 136857, 142830, 145153, 152654, 155857, 128634, 136111, 136822, 142585, 145153, 150934, 155540, 130829, 134238, 137818, 141836, 146957, 149902, 153399, 128669, 134867, 139540, 144368, 145153, 150105, 156329, 131035, 132865, 139681, 143810, 146053, 149204, 154352, 128634, 135089, 138474, 141085, 148449, 152629, 155340, 128652, 135665, 139230, 144223, 146409, 152219, 154821, 131652, 133755, 139052, 143691, 146850, 152101, 153843, 128969, 133664, 139474, 140554, 146281, 152364, 156405, 128634, 135606, 139142, 141726, 146222, 151118, 154128, 129572, 136370, 139832, 142395, 145413, 148955, 153941, 131104, 133125, 140361, 141233, 148158, 152731, 154690, 128634, 135807, 139463, 142754, 147445, 152339, 154014, 131104, 135178, 139973, 143012, 148694, 150322, 153090, 131361, 134087, 137013, 144464, 144832, 152269, 154945, 128983, 134472, 138340, 140715, 148212, 152376, 153912, 130334, 134098, 139880, 142086, 146386, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 32, 12301, 2857, 450, 15606, 10804, 31559, 104511, 125783, 11, 1048, 118471, 17774, 3862, 406, 90513, 110198, 11, 110693, 359, 3209, 15606, 841, 30728, 68945, 11, 297, 2092, 13562, 115950, 36255, 115724, 44907, 11, 602, 11257, 1466, 3209, 15606, 36454, 63894, 41990, 26419, 5308, 936, 17774, 100961, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 142067, 147568, 149470, 155328, 129364, 133052, 136900, 144496, 145843, 152673, 155301, 129273, 135974, 138619, 143196, 147730, 149217, 156831, 129423, 132865, 137988, 143196, 147914, 152310, 153200, 131421, 133886, 136916, 143508, 144702, 151298, 155293, 128634, 133505, 136836, 140908, 148262, 151134, 155954, 131104, 133257, 140534, 143161, 146928, 149114, 152914, 130296, 136448, 136942, 142609, 146523, 150774, 154951, 128288, 136321, 138698, 144460, 147636, 151009, 155353, 129644, 133206, 138193, 143499, 145676, 150846, 156534, 130772, 135800, 139553, 140944, 145768, 152255, 156849, 131035, 134166, 138145, 143706, 145595, 150789, 154254, 131619, 134052, 139147, 141935, 145803, 149436, 155651, 128634, 132444, 140095, 141200, 145695, 151866, 155452, 132234, 135071, 140123, 142130, 147788, 150678, 153708, 131104, 135480, 139874, 142486, 145250, 152292, 155311, 128634, 134546, 140538, 142744, 144872, 149464, 155684, 131397, 135503, 138082, 144139, 147915, 149845, 156854, 131035, 133511, 138494, 143247, 147945, 150389, 155055, 128634, 135021, 139518, 143462, 147359, 152259, 154942, 131821, 134138, 139577, 142558, 145250, 149114, 154292, 131826, 135706, 138830, 141221, 144994, 152731, 156481, 131039, 136344, 138449, 140948, 145104, 149552, 154925, 131633, 132563, 138449, 143275, 144798, 152494, 153995, 129185, 132421, 138929, 140556, 146912, 149066, 156086, 131821, 135522, 138658, 140633, 148614, 149387, 155431, 131104, 135706, 138476, 144445, 147316, 150164, 153521, 129614, 132406, 139143, 142961, 145333, 150472, 152938, 129092, 134051, 140048, 144304, 146565, 151440, 155721, 128339, 133834, 140227, 143202, 145659, 151980, 154572, 130022, 133148, 140164, 141100, 146205, 150476, 156628, 130465, 133923, 138718, 144333, 145591, 152762, 156258, 131337, 134482, 139916, 144067, 147540, 150313, 155188, 132151, 134345, 140199, 141782, 146386, 150791, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 130758, 133302, 137052, 143506, 146477, 150695, 154264, 130255, 133314, 137619, 141657, 144825, 148835, 156493, 132318, 133274, 139035, 144323, 146054, 150187, 153067, 128983, 136443, 136887, 140983, 148731, 150918, 154355, 132185, 134047, 136619, 141096, 147715, 149926, 156547, 131884, 135811, 138923, 141179, 146993, 151435, 154769, 128545, 136039, 136969, 141731, 148335, 151434, 154030, 130673, 135864, 138930, 143263, 148152, 148806, 153929, 132193, 134007, 139347, 143765, 145712, 148927, 154098, 128520, 133495, 138088, 141511, 145351, 149801, 156848, 132193, 135911, 139358, 142299, 145783, 149099, 153992, 128520, 135473, 139446, 142740, 145123, 149422, 155170, 128614, 135442, 138414, 144436, 148449, 151538, 154622, 130998, 132627, 140329, 143570, 148068, 149143, 156672, 128868, 132754, 136786, 144003, 147259, 149657, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 142122, 147076, 150278, 155044, 130693, 133766, 136669, 141773, 145878, 151278, 156690, 129384, 132769, 140233, 141493, 144734, 152284, 153111, 129924, 133100, 139450, 142061, 144784, 150208, 154646, 128634, 135070, 137744, 143666, 145197, 152292, 153312, 129384, 133174, 139531, 144305, 145672, 148980, 156219, 132193, 132425, 137974, 141705, 146476, 151087, 156328, 131035, 134951, 140422, 143046, 146216, 151560, 154888, 131858, 132844, 136536, 143070, 147391, 151850, 155227, 131035, 135865, 139816, 143039, 145301, 149417, 154633, 131397, 132855, 139965, 142591, 145379, 150360, 154157, 128543, 134805, 137307, 144592, 148153, 150925, 153184, 131035, 135860, 137132, 142760, 144669, 151582, 155723, 130552, 134364, 137280, 141305, 147568, 150628, 154179, 130334, 134788, 138630, 142048, 146386, 152168, 156264, 131529, 133318, 138026, 142086, 144721, 150368, 156182, 131755, 136318, 139235, 140573, 148713, 150950, 154282, 132193, 132517, 139514, 144013, 145571, 149959, 154591, 131222, 132684, 140345, 141296, 145006, 152669, 156821, 131333, 135334, 139258, 143633, 148381, 150725, 154512, 131248, 132967, 139236, 142322, 145128, 148758, 154581, 132265, 135607, 138145, 142600, 147872, 152310, 155032, 132193, 136214, 139865, 142368, 147093, 152254, 155530, 131035, 135921, 139037, 141475, 145413, 149843, 154408, 131328, 133242, 137318, 144077, 147287, 150208, 155464, 130079, 133362, 139704, 142996, 145555, 151714, 156586, 129967, 134160, 140350, 143272, 145695, 152503, 152905, 131345, 133407, 139808, 141368, 145162, 151332, 155928, 128652, 135636, 136577, 143868, 146426, 149026, 153652, 128827, 134586, 138193, 144046, 146702, 152403, 153392, 128634, 133146, 137555, 141216, 145153, 150810, 156231, 128964, 135226, 139577, 143659, 146102, 150472, 153379, 130829, 135561, 137230, 140932, 147359, 150300, 154520, 128634, 132451, 138951, 143698, 145695, 152135, 155384, 129718, 135921, 138715, 140950, 146339, 152176, 153140, 128652, 135011, 136850, 144091, 148325, 151606, 156494, 128555, 134339, 138153, 141625, 148418, 152210, 156788, 128634, 135287, 139890, 143073, 147646, 151851, 155313, 131409, 134319, 138830, 140885, 147835, 149077, 154682, 128652, 136340, 139178, 143844, 148424, 149322, 153015, 128969, 133993, 137023, 142897, 145153, 149519, 156137, 130540, 136348, 140071, 143864, 146465, 151698, 153593, 128983, 134472, 137704, 140715, 148212, 150082, 153316, 130334, 134971, 138026, 140709, 146386, 152168, 156264, 132185, 134205, 140435, 142040, 146214, 151625, 155967, 129462, 133965, 136844, 140985, 145049, 152091, 154714, 131035, 134499, 140002, 144489, 146921, 152451, 153419, 132116, 133325, 137217, 144578, 145613, 150184, 154280, 132193, 134104, 140459, 143442, 145973, 151656, 156707, 131035, 134951, 138725, 142125, 145005, 150402, 153414, 129792, 132717, 138083, 142313, 147465, 149085, 152874, 132240, 134339, 136949, 144427, 145906, 150580, 154327, 131397, 132369, 139027, 142807, 144759, 152817, 155124, 132265, 133228, 138928, 141518, 145691, 152492, 155639, 129161, 132369, 138424, 140599, 145298, 152644, 156681, 131543, 133842, 138183, 142081, 148144, 151762, 152907, 130702, 132756, 139704, 142649, 148152, 151359, 156553, 131543, 133188, 139100, 143712, 147731, 150180, 156857, 129718, 136216, 137965, 141494, 146216, 149449, 154862, 130418, 132453, 138101, 140895, 148168, 152756, 153568, 129273, 134444, 137001, 144319, 145434, 151933, 153425, 130124, 134138, 137976, 140966, 146281, 149319, 155306, 129552, 135503, 138409, 140597, 148285, 152581, 153772, 128387, 134514, 139855, 141316, 146651, 150129, 155645, 128969, 134070, 136892, 140707, 147944, 152699, 156486, 128663, 135266, 137091, 140897, 146915, 151364, 153830, 128634, 134779, 140227, 143499, 147914, 151538, 153156, 131619, 135626, 139947, 142714, 147914, 152628, 153287, 129185, 132865, 138352, 140682, 144704, 151575, 155145, 128781, 132561, 137491, 142222, 146108, 150568, 155188, 128868, 134047, 136786, 140951, 147259, 151194, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 131529, 133318, 139880, 140709, 147076, 151104, 153446, 131903, 134393, 136900, 142161, 147953, 150755, 156169, 130772, 135665, 138409, 144478, 145897, 151333, 155560, 131851, 135864, 139326, 142619, 146448, 148940, 154873, 128634, 132895, 136675, 143943, 145097, 152202, 156409, 129012, 134386, 137684, 140685, 145846, 151753, 153804, 129470, 132691, 140273, 143650, 145864, 151628, 153553, 128827, 132369, 138919, 143758, 148380, 152822, 153234, 128969, 136297, 139766, 141973, 146224, 148786, 155398, 130096, 133961, 137274, 144411, 145834, 150199, 153500, 128634, 133669, 139271, 143634, 147777, 149638, 154917, 129385, 135556, 139649, 142863, 145763, 151904, 152926, 130168, 135933, 138128, 140898, 147794, 151850, 153819, 131035, 134076, 136469, 141579, 145005, 149371, 155519, 129273, 134160, 137186, 140960, 145748, 151473, 153837, 131543, 136221, 139832, 143895, 147783, 150469, 156394, 130336, 135762, 137282, 143084, 146900, 149343, 153666, 131035, 135545, 139976, 140907, 148192, 150452, 154865, 130124, 134150, 137928, 142168, 145208, 152127, 155936, 131937, 132770, 137139, 140723, 147348, 150331, 153470, 132193, 134165, 139678, 141855, 146392, 150064, 154870, 132116, 135857, 137920, 143759, 148234, 150292, 153042, 130412, 134088, 137001, 143243, 146376, 149987, 152899, 131397, 134489, 137041, 143164, 145197, 150697, 152847, 128478, 135873, 137061, 142978, 148265, 152621, 152876, 128757, 132880, 139307, 142308, 146801, 149721, 152998, 129045, 135944, 138266, 142809, 145855, 150203, 156070, 131035, 135236, 137900, 141996, 146617, 149146, 153196, 131884, 132663, 139096, 144245, 147487, 150882, 156267, 129092, 135665, 139596, 144344, 145878, 151816, 156415, 130311, 134737, 136526, 144240, 148673, 151273, 154071, 128969, 135522, 138699, 142950, 145840, 152545, 153000, 128663, 132550, 139276, 143110, 146813, 151786, 154826, 129496, 135237, 140163, 143956, 146840, 150610, 156798, 132106, 133229, 138847, 141598, 147564, 151335, 153397, 130239, 135285, 137846, 141128, 147549, 152718, 153395, 131543, 133362, 140039, 141062, 148596, 149781, 156013, 130223, 134821, 138258, 140629, 148380, 149249, 154421, 131164, 133010, 137910, 144457, 145114, 150164, 153341, 130465, 134051, 137075, 142055, 146959, 148792, 155556, 128879, 135553, 138536, 143472, 145739, 150208, 155263, 131717, 132553, 137921, 144435, 146106, 152623, 154115, 131652, 132766, 138014, 142456, 146953, 150355, 156784, 129221, 132468, 138157, 144571, 148518, 152548, 156877, 132247, 134098, 137524, 141855, 144721, 152348, 154120, 128258, 128262 ]

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

[ 128259, 128000, 43712, 110929, 74, 13856, 520, 100961, 71862, 108207, 55008, 18244, 102980, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 128868, 134788, 136770, 142284, 145957, 151912, 153259, 130465, 132836, 138089, 141998, 147166, 150527, 153548, 129012, 136145, 137914, 140883, 148544, 149183, 153683, 129292, 133850, 138067, 142771, 147040, 151857, 156455, 129164, 135809, 139079, 142474, 144816, 150246, 153261, 131238, 132729, 139605, 141163, 146179, 151923, 154572, 130702, 135871, 136520, 143774, 145649, 149096, 154422, 129273, 133580, 138425, 144252, 147184, 150485, 152995, 129200, 136291, 139254, 142858, 144667, 151828, 156315, 130809, 134076, 138559, 141946, 146364, 149028, 154145, 132193, 134525, 138360, 142055, 148071, 150255, 154250, 132106, 134384, 139508, 142437, 147857, 150207, 153954, 129200, 133586, 136567, 142092, 147945, 151674, 153233, 130321, 135763, 136972, 144555, 147725, 150184, 155296, 128555, 134217, 137591, 140904, 145907, 151694, 154198, 128773, 135164, 138028, 144333, 145551, 149289, 153523, 128520, 135193, 139892, 141400, 145793, 148806, 153765, 131719, 134145, 136839, 144227, 146441, 152387, 155176, 130385, 132620, 139504, 140566, 145054, 149715, 153903, 129308, 135196, 137376, 143464, 146106, 151992, 155578, 131432, 132512, 139368, 144356, 147899, 148904, 153350, 131223, 135652, 137798, 144519, 145716, 149044, 154979, 132028, 134346, 136962, 140940, 146627, 149912, 154697, 130255, 135926, 139815, 141118, 145608, 152755, 154512, 132318, 135862, 139733, 144373, 145275, 148756, 153170, 128813, 134665, 139438, 142657, 145340, 149175, 153271, 128983, 136443, 136887, 140983, 148731, 149175, 153271, 128868, 133025, 136619, 140983, 145606, 150082, 155755, 130334, 134971, 138026, 140709, 147259, 150047, 153977, 131283, 135481, 137461, 142943, 146672, 149188, 153783, 128554, 135816, 137058, 141376, 147445, 149244, 156708, 131461, 132718, 137020, 141153, 147807, 150714, 155443, 130776, 135362, 138844, 140796, 147650, 152169, 153132, 130168, 132528, 139874, 140663, 144667, 152548, 152951, 129012, 134315, 138345, 141734, 145963, 150997, 154318, 131028, 132526, 137409, 141499, 147849, 151827, 153060, 131288, 133619, 137370, 142928, 146575, 150121, 154845, 129933, 132665, 137416, 140839, 148214, 152621, 156073, 131223, 134339, 136857, 140587, 147402, 150672, 154625, 130448, 135356, 138057, 141235, 147290, 150595, 155313, 128804, 134151, 136900, 144040, 147953, 149569, 155618, 129045, 135665, 137893, 144150, 147921, 151698, 155093, 131035, 136136, 139104, 142549, 147067, 150802, 155464, 130465, 134319, 137577, 143179, 145659, 151174, 154468, 131763, 133132, 139171, 143457, 145659, 150464, 153089, 131341, 133653, 136843, 142169, 146320, 151759, 153310, 130465, 133421, 137500, 141281, 146611, 149222, 153941, 128296, 135297, 140416, 143945, 148219, 152332, 155998, 131538, 132466, 137814, 144029, 147019, 152667, 154477, 132051, 136189, 138982, 140569, 147675, 151307, 156723, 132345, 136012, 138528, 141472, 147944, 148819, 153159, 131888, 135826, 139188, 143513, 148559, 150853, 153132, 128258, 128262 ]

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

[ 128259, 128000, 60908, 9839, 1617, 14966, 737, 107940, 13665, 125610, 15606, 102394, 346, 49601, 21336, 83000, 438, 3862, 6634, 93687, 38511, 5320, 1048, 2019, 15686, 123985, 120982, 104913, 15606, 6729, 102046, 9484, 72, 11257, 25877, 459, 3862, 1026, 110754, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 150314, 153154, 130221, 133820, 138025, 141612, 148742, 150469, 156150, 131571, 135655, 138987, 143717, 146583, 150448, 155077, 128545, 133790, 139240, 143172, 147425, 152483, 155699, 131222, 132736, 137646, 144623, 146889, 151909, 154175, 129423, 132487, 138711, 141146, 145929, 150971, 155613, 131505, 133135, 136576, 142081, 147226, 149897, 153715, 130282, 134314, 136960, 141628, 146813, 149834, 155895, 131543, 133010, 139044, 141062, 146256, 151752, 156936, 130854, 135116, 136473, 143795, 147595, 149573, 154789, 131821, 133407, 136717, 142845, 146901, 148783, 156932, 128634, 132889, 138692, 140825, 145907, 152511, 155387, 129667, 132517, 139042, 143439, 144805, 151855, 155587, 129423, 133938, 137041, 141097, 145514, 151360, 153687, 131035, 134712, 138264, 142213, 146438, 150446, 155307, 129045, 132504, 137235, 140836, 148352, 150932, 153755, 131345, 133403, 140052, 142328, 147414, 150826, 156479, 128634, 135442, 137451, 143225, 147944, 149665, 156325, 129539, 135145, 138036, 143908, 146242, 148782, 155022, 131104, 135126, 139010, 142550, 148585, 150552, 156350, 128634, 132865, 139412, 144393, 147791, 151035, 153837, 132232, 135599, 139008, 141593, 148214, 151494, 153781, 129045, 132520, 137983, 141736, 144972, 150784, 156116, 128652, 135628, 137402, 140697, 147861, 150944, 154456, 128634, 133535, 139644, 143716, 145695, 149136, 154559, 129667, 133407, 137979, 140558, 148485, 152077, 153030, 132146, 135662, 140201, 143970, 144975, 150963, 155462, 131188, 135665, 137845, 143775, 148123, 151131, 154430, 131039, 136365, 138528, 140772, 148501, 150816, 153173, 128652, 134138, 136823, 141655, 146874, 150252, 154174, 131214, 135921, 137276, 142142, 145875, 150611, 156173, 128634, 133360, 137344, 141760, 147054, 150895, 156370, 130336, 133453, 137762, 144612, 145551, 152720, 156607, 128652, 135442, 139866, 143499, 146874, 149934, 154030, 128634, 133933, 139250, 142135, 148397, 149723, 153013, 132240, 136136, 139595, 143782, 146799, 150326, 153735, 128850, 134573, 139947, 144083, 147413, 150133, 154495, 128812, 135401, 139976, 140641, 147109, 148934, 156597, 131397, 133407, 139980, 144378, 146498, 148814, 156552, 131543, 133801, 140292, 143155, 148147, 148862, 152988, 128652, 136239, 136876, 141833, 144866, 149548, 153255, 128956, 133305, 139328, 140755, 147414, 151589, 153047, 129575, 135182, 136664, 142623, 147844, 150134, 154283, 130223, 134989, 136709, 140561, 148192, 150025, 153051, 128945, 135474, 138949, 144179, 147166, 150280, 156267, 131397, 135178, 138030, 142216, 146956, 149723, 153538, 131288, 135197, 138891, 141133, 146565, 149464, 153909, 131188, 135474, 137835, 141446, 147762, 152373, 155026, 131680, 133728, 139016, 143781, 145337, 151327, 153827, 131884, 132965, 139587, 144645, 147122, 150842, 154582, 131035, 134813, 138237, 144425, 148387, 151898, 154003, 130702, 133727, 137902, 142016, 144907, 151065, 156001, 128608, 134851, 137664, 140960, 147358, 149017, 153920, 131826, 135063, 138282, 140824, 145656, 150895, 156932, 131821, 133360, 138259, 144501, 147839, 148881, 156563, 129045, 132975, 137505, 142299, 145597, 149903, 156657, 129496, 133763, 138837, 143083, 146894, 152264, 156342, 132193, 135063, 139231, 144393, 147319, 148894, 154009, 128578, 135594, 140012, 142609, 147166, 150111, 156468, 129045, 134769, 139110, 143895, 147336, 152437, 153028, 131397, 136292, 139526, 143108, 147136, 151111, 156542, 131543, 135362, 138129, 140806, 147932, 151698, 154910, 128652, 135864, 136923, 143382, 146423, 152836, 155446, 128969, 133580, 140278, 141003, 145177, 148907, 156457, 129552, 133779, 139681, 141756, 146666, 151511, 155650, 131826, 132874, 139761, 143858, 148172, 151806, 155944, 131397, 133399, 140228, 142923, 147461, 150999, 153352, 129045, 136257, 140147, 142055, 146475, 150800, 153124, 129106, 132658, 139847, 143765, 146732, 152341, 153649, 131104, 133257, 138554, 144083, 145012, 152538, 156797, 129644, 135757, 136990, 142490, 147502, 149278, 156152, 131286, 133126, 140181, 142348, 145436, 152207, 152956, 129667, 136297, 137807, 142953, 148152, 149527, 153607, 129045, 133146, 136539, 144428, 146023, 150315, 155356, 128956, 132708, 140548, 143885, 146813, 152751, 156932, 129045, 134525, 139845, 143346, 148352, 149308, 155816, 131397, 133146, 136764, 143272, 147435, 149375, 153425, 128956, 136064, 137474, 140754, 144745, 148841, 153988, 128634, 132569, 140440, 140814, 146105, 149708, 155693, 131397, 135071, 139324, 144319, 146438, 151330, 155426, 128557, 134076, 139042, 144522, 148562, 149845, 155936, 132201, 135347, 137376, 143336, 147792, 152637, 156709, 131397, 135083, 140116, 143497, 145010, 152603, 154774, 128969, 135616, 136946, 141003, 145389, 151819, 153125, 130321, 133670, 139363, 140589, 145127, 150209, 154376, 129552, 133268, 139154, 144411, 145555, 150441, 155225, 129188, 135675, 136957, 141995, 147963, 149806, 154155, 128564, 134284, 138526, 143304, 147826, 150325, 153223, 131397, 133483, 139842, 143522, 147160, 151794, 156226, 131104, 136037, 137247, 142151, 146638, 149245, 156629, 130591, 135677, 138448, 141676, 145340, 150313, 155304, 132247, 132433, 136887, 140866, 147259, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 32, 7370, 110193, 1048, 110637, 81, 59317, 43029, 751, 10759, 258, 110788, 8385, 110637, 26355, 477, 3251, 992, 8492, 123627, 58112, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 142067, 147568, 149925, 153335, 131811, 133052, 137630, 141408, 147792, 150937, 156703, 130589, 134402, 136929, 143447, 145496, 148918, 155994, 131039, 136365, 140012, 142142, 148183, 149056, 156520, 129552, 135307, 139007, 143224, 148364, 152688, 154711, 131104, 133783, 137129, 140599, 146587, 149281, 154661, 130311, 133943, 137570, 141378, 145964, 149486, 153932, 128956, 134629, 137393, 144533, 145354, 152320, 153945, 132127, 135918, 140508, 141994, 144972, 150558, 156371, 128969, 133010, 140110, 143405, 145868, 151564, 154614, 129045, 133590, 136708, 144621, 147598, 152234, 155321, 131397, 133170, 137904, 144374, 146125, 148963, 154131, 129552, 132718, 137964, 141954, 148483, 149591, 154244, 129244, 132708, 136986, 143943, 145781, 150840, 154900, 131397, 133043, 139162, 141125, 145864, 150106, 154227, 131967, 133056, 137888, 142084, 146894, 148818, 153258, 132165, 133215, 139526, 142558, 148646, 151005, 154074, 130321, 134241, 138984, 140802, 148249, 149944, 156441, 129045, 132684, 137484, 142233, 146053, 150812, 154276, 128560, 133850, 136527, 142901, 146498, 149491, 155961, 131826, 133010, 138000, 143303, 148152, 152492, 155980, 131104, 133495, 137104, 144254, 147730, 151330, 155962, 131397, 135884, 138840, 141500, 148585, 149362, 155417, 132116, 135748, 136584, 141418, 145222, 151568, 155378, 129045, 134276, 136886, 142455, 145648, 149650, 153332, 131397, 133063, 137307, 143510, 145695, 148953, 155510, 131619, 135009, 140426, 143357, 146231, 149571, 153866, 129552, 134677, 139679, 140788, 145156, 149204, 153140, 129116, 136189, 136966, 142975, 146956, 149898, 153391, 128634, 133010, 138470, 141335, 145795, 149843, 154679, 130121, 132363, 138390, 143330, 147397, 150208, 154661, 129552, 136136, 137582, 142618, 145263, 152255, 155768, 128956, 136288, 139938, 143731, 145263, 151884, 155887, 128773, 136445, 137420, 142286, 148694, 149553, 156853, 128956, 133555, 137967, 142215, 146894, 149446, 155662, 128652, 135239, 137441, 144246, 145695, 149836, 156116, 128634, 132457, 136539, 140737, 148314, 151583, 154244, 129738, 133063, 140534, 142060, 145261, 150179, 156577, 129106, 135048, 136921, 140685, 146720, 149570, 156533, 131397, 135311, 136513, 141199, 148327, 149591, 154591, 132193, 132717, 136754, 142399, 146801, 149242, 154858, 130124, 135864, 137559, 144174, 144745, 152500, 154209, 129273, 133056, 139994, 142619, 145356, 151979, 153100, 131778, 136334, 138814, 140673, 148622, 149511, 156325, 129045, 136292, 136635, 144254, 146053, 152437, 153810, 128810, 132771, 138969, 144077, 146810, 150111, 154587, 128956, 135883, 136718, 143361, 146133, 152818, 154388, 131187, 135905, 138661, 141802, 147731, 151927, 153841, 128983, 135680, 138275, 142900, 145050, 152487, 154085, 132247, 134971, 137952, 141849, 147076, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 47013, 105320, 114362, 113941, 3067, 101177, 35371, 2448, 104998, 15606, 120982, 11, 105827, 101813, 15606, 104333, 26693, 112564, 115589, 103024, 104337, 100679, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 154336, 128983, 135780, 139988, 144079, 147990, 149198, 156266, 129095, 133274, 138841, 141837, 148574, 150434, 153739, 131447, 135638, 138892, 143037, 146281, 151565, 155642, 129667, 136297, 136540, 142919, 145999, 151054, 156227, 130829, 133658, 139937, 142293, 145183, 152367, 153522, 128652, 132457, 139575, 141594, 145695, 151619, 154020, 131104, 133779, 139127, 140761, 147919, 151146, 155777, 128343, 132452, 139126, 141455, 145839, 152318, 156452, 129188, 135495, 139610, 141168, 145687, 152207, 154332, 129981, 136076, 136630, 140989, 147786, 150076, 155419, 131543, 134739, 140325, 142054, 147762, 151217, 155009, 130124, 135442, 139840, 141187, 144808, 150348, 155021, 129045, 134525, 139585, 141632, 147311, 150537, 153864, 130124, 132865, 139133, 141064, 147435, 149112, 155124, 129045, 136292, 139866, 141808, 148209, 150887, 153132, 129575, 134458, 139000, 144387, 146923, 152696, 155029, 128945, 136414, 139153, 142604, 147953, 150969, 155286, 130709, 134052, 137407, 141451, 145666, 149734, 152877, 130641, 135076, 136473, 143164, 145839, 152455, 154491, 128652, 135347, 139026, 142987, 146324, 149742, 154491, 130223, 135343, 139735, 141195, 147791, 150032, 155845, 129552, 135503, 139600, 143238, 144908, 151860, 155695, 129767, 133045, 140498, 142529, 145695, 150195, 153192, 131188, 134160, 140110, 140679, 146718, 148833, 152876, 130974, 135918, 137281, 143913, 147251, 149481, 154283, 128969, 133407, 139484, 142133, 147749, 149750, 154282, 131741, 135285, 139469, 143878, 146796, 150415, 155875, 129552, 134677, 137968, 142516, 147098, 151247, 153607, 129776, 134944, 137161, 143275, 146064, 152701, 152861, 130731, 133612, 139217, 141018, 147775, 151041, 153856, 132293, 135558, 137740, 143512, 148493, 151367, 154879, 128691, 136367, 138026, 141133, 146953, 150289, 154410, 128656, 132628, 137614, 143148, 146157, 152755, 156500, 132318, 136227, 137610, 141463, 144859, 149897, 152951, 128983, 134472, 137411, 141507, 146335, 149175, 155014, 130289, 132537, 136910, 140848, 145057, 148937, 154807, 130336, 135936, 138758, 142105, 146118, 152212, 155256, 129080, 133576, 137772, 141251, 146729, 148965, 153858, 128436, 133283, 137904, 144344, 146580, 151174, 153242, 129504, 134573, 138249, 140734, 146372, 151909, 153881, 128652, 133884, 138371, 142767, 146674, 149052, 154411, 130223, 133010, 138709, 142216, 147595, 152836, 154639, 129718, 133583, 139471, 140611, 145922, 149813, 153907, 128370, 132776, 139960, 142533, 146939, 151757, 154136, 128969, 133548, 139663, 141009, 144972, 151014, 153513, 128634, 132684, 139989, 143394, 144872, 149204, 155559, 128460, 135114, 139600, 144051, 147261, 150445, 156888, 129738, 132874, 137578, 143452, 147518, 149466, 153319, 129106, 134411, 137508, 142136, 146826, 151384, 154632, 128373, 136064, 139879, 143205, 147743, 150999, 153257, 129575, 133946, 136464, 141933, 145740, 151013, 156573, 130124, 133347, 137056, 144134, 146170, 152814, 154055, 130442, 134112, 139525, 141599, 148051, 152603, 154697, 129575, 135143, 137859, 141447, 147239, 148923, 156002, 131007, 135358, 139645, 140772, 145666, 151246, 154910, 132253, 133816, 137396, 143386, 146886, 149369, 155124, 130336, 134948, 137508, 141069, 146884, 149713, 155186, 128634, 133707, 138846, 144134, 147635, 148749, 153477, 129813, 132607, 138704, 142947, 145917, 149077, 154910, 128761, 132771, 140126, 143636, 145096, 152043, 156515, 131397, 134232, 137231, 142130, 146600, 150664, 154821, 132193, 135100, 137518, 141995, 146851, 149193, 156328, 131530, 132458, 136706, 142190, 145818, 150208, 154366, 128945, 136457, 139205, 142425, 148300, 149524, 153282, 131543, 136037, 138188, 141001, 145839, 152440, 156739, 131432, 133239, 137130, 142786, 145831, 150143, 156623, 129055, 133659, 139347, 140588, 146802, 150342, 155045, 131044, 135926, 137654, 143606, 146664, 150637, 156646, 130929, 133996, 137927, 142127, 146664, 150132, 155151, 128868, 134177, 138933, 143997, 146386, 151650, 154697, 128258, 128262 ]

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

[ 128259, 128000, 60908, 120982, 104385, 451, 102934, 120022, 103485, 122346, 1299, 80726, 67565, 4168, 1072, 13, 105664, 34143, 278, 121799, 120487, 123784, 1048, 110637, 462, 272, 2448, 2171, 29234, 936, 342, 12574, 48497, 2923, 98902, 5320, 118723, 107812, 620, 72626, 43732, 48980, 767, 26693, 10784, 68228, 3067, 125249, 277, 111485, 18316, 109590, 13, 128009, 128260, 128261, 128257, 128868, 134098, 137439, 141425, 146760, 152715, 156266, 129092, 133175, 137888, 140749, 147895, 150109, 156664, 131397, 134619, 138330, 144046, 145946, 150067, 155085, 130641, 132452, 137446, 142322, 144988, 151823, 154383, 132146, 134805, 138870, 141710, 148667, 150051, 155927, 129718, 136381, 139194, 143547, 146901, 151309, 155048, 131397, 133170, 137999, 140955, 147827, 150176, 155086, 132293, 134382, 138912, 143008, 145868, 152055, 155042, 132028, 135868, 140423, 144411, 146263, 150215, 154806, 130448, 135926, 139109, 144519, 145834, 150514, 153648, 131269, 133339, 139815, 144247, 147953, 152708, 156594, 131821, 133147, 140116, 141687, 148352, 151864, 154666, 129738, 136362, 138452, 142100, 148580, 152231, 154428, 129423, 135621, 137698, 142063, 146732, 149446, 155762, 129575, 136076, 140340, 140585, 144788, 152681, 153085, 129667, 133125, 139904, 142939, 148691, 151793, 156612, 128969, 136252, 137938, 141235, 148477, 151566, 156699, 129693, 134043, 139520, 141618, 148530, 152732, 156088, 131826, 136404, 136753, 140754, 148479, 151970, 154266, 129667, 135237, 139607, 141512, 145805, 150315, 154153, 128634, 135358, 136488, 141204, 147875, 150719, 155931, 129671, 133044, 138765, 143878, 148067, 151302, 156882, 128969, 136436, 139139, 143693, 145695, 150372, 156347, 131035, 134945, 137144, 143150, 146234, 149341, 154991, 129813, 132504, 138027, 141368, 147052, 149700, 155979, 131104, 135865, 140223, 142871, 148375, 149307, 156227, 129667, 133995, 137865, 144344, 145412, 152815, 156580, 128741, 135864, 137699, 140611, 145114, 152570, 156385, 128956, 135535, 137013, 142223, 146900, 150866, 156023, 130124, 132594, 138370, 142381, 148334, 150127, 156316, 129575, 135229, 138642, 144316, 147166, 150250, 154223, 131188, 135253, 136765, 143187, 146594, 152431, 154273, 131397, 134805, 137699, 143941, 146674, 152735, 155894, 129813, 132910, 139972, 143829, 145198, 149336, 154509, 130847, 134312, 139484, 140844, 147783, 149865, 154198, 128956, 132594, 140110, 141995, 144686, 151656, 153844, 129220, 132425, 137876, 142162, 146676, 148871, 154450, 130950, 136307, 138805, 143502, 144907, 150325, 155538, 128555, 134378, 138034, 142890, 146658, 150973, 153715, 132172, 136120, 139968, 143751, 147032, 152276, 155737, 130022, 133685, 139580, 142792, 146957, 150564, 155822, 129933, 132553, 139552, 141235, 145570, 149325, 154105, 130448, 134995, 139552, 142591, 146179, 152548, 154612, 131363, 134922, 137226, 144373, 146409, 152627, 154283, 131430, 134191, 138001, 143709, 146479, 150168, 152852, 131158, 135053, 139613, 144323, 145226, 150918, 153003, 128983, 134117, 137899, 142309, 145967, 152334, 154993, 128893, 136137, 140385, 143666, 146226, 152510, 156422, 131397, 133998, 137441, 144260, 146927, 152024, 154936, 131164, 134633, 140115, 143783, 148099, 152532, 155630, 129106, 134482, 139072, 144100, 146787, 149371, 156245, 132193, 132965, 137189, 142906, 147402, 150535, 156860, 132106, 133962, 139426, 142912, 147239, 151301, 153393, 128758, 132826, 136651, 143766, 146901, 152605, 155072, 128945, 133200, 137314, 144026, 145812, 148763, 154207, 128956, 133869, 140443, 141752, 148396, 152010, 155038, 131397, 132600, 136652, 144316, 148424, 150689, 156910, 129012, 134422, 137891, 141248, 148168, 149005, 154043, 129575, 132877, 139749, 141199, 145695, 151415, 155364, 128555, 135818, 138667, 142156, 147015, 152390, 153192, 131397, 135231, 136491, 141338, 147359, 150543, 153057, 132173, 134424, 140293, 144457, 145970, 152840, 153176, 129552, 135295, 138775, 143718, 145197, 151244, 153305, 129504, 133728, 136764, 143740, 146372, 149136, 155685, 131571, 135767, 138303, 144379, 148449, 150141, 153607, 130550, 133005, 136701, 141125, 147196, 149631, 155104, 128652, 136136, 138371, 144590, 148210, 149221, 154155, 129767, 133524, 139276, 142767, 145550, 150767, 154803, 129675, 134878, 137146, 141149, 148424, 151652, 154663, 129552, 135626, 140497, 143885, 147914, 150980, 156231, 128343, 132500, 136510, 141235, 145794, 152472, 153367, 131214, 135054, 137348, 140888, 145132, 151700, 155227, 131188, 135921, 137400, 142577, 144726, 152313, 156434, 131656, 134436, 139372, 142972, 147899, 152626, 154222, 131447, 133061, 138228, 142310, 148424, 152755, 155227, 128608, 132708, 140463, 141828, 145519, 150840, 154793, 129594, 132542, 139669, 144611, 147933, 151501, 155636, 129718, 134449, 139514, 141721, 147166, 150524, 155369, 128741, 135864, 136766, 142522, 145591, 152268, 153354, 130829, 135436, 140385, 140776, 146084, 150447, 153932, 128634, 133407, 138274, 142645, 145029, 150852, 154263, 128652, 134012, 139587, 144290, 146739, 150025, 156258, 129116, 135031, 140087, 140957, 147068, 150554, 156117, 128969, 135976, 138495, 143625, 147166, 152603, 155315, 131188, 132369, 138965, 142511, 144948, 150355, 155305, 128956, 136161, 139324, 141149, 146281, 148841, 153240, 129813, 134520, 139528, 142213, 146797, 152583, 153176, 128402, 134421, 136893, 140772, 145893, 152739, 155654, 128956, 134309, 140379, 144069, 146564, 151764, 154880, 129667, 133407, 137835, 143135, 146896, 151553, 155284, 128652, 134795, 136886, 144536, 148437, 150953, 152935, 128634, 133324, 138986, 141691, 147052, 150983, 154082, 128439, 136105, 139770, 143378, 144860, 151469, 153973, 128373, 132572, 137937, 142496, 148094, 150587, 155709, 129552, 132992, 139291, 143844, 146949, 152822, 154477, 128884, 133780, 137740, 144612, 147826, 149912, 155263, 129667, 133233, 137727, 141475, 147147, 149252, 155194, 131731, 132945, 138526, 142310, 145062, 151828, 154493, 132160, 135861, 138117, 141808, 144713, 150714, 153262, 128758, 134476, 138605, 142381, 148263, 152350, 154632, 128557, 135880, 138987, 142579, 145153, 152310, 156183, 131625, 134625, 138679, 144607, 145978, 150737, 153813, 129575, 135818, 140266, 141266, 145298, 152403, 153694, 132146, 134084, 137181, 142758, 146746, 150611, 153714, 131397, 134552, 138753, 143243, 147509, 152326, 154491, 131007, 136212, 136618, 142977, 145435, 151525, 155227, 130311, 133480, 139289, 142063, 144907, 151715, 155193, 128956, 132398, 136836, 141760, 148562, 151441, 155118, 129496, 133707, 139686, 140748, 147509, 152171, 154250, 129575, 133262, 139518, 143671, 146105, 148893, 154067, 128956, 133308, 139024, 144090, 147397, 150057, 153759, 129708, 132726, 138041, 144612, 147674, 149662, 153548, 128945, 135229, 140483, 143960, 146443, 151330, 155750, 128956, 134076, 138236, 142299, 146813, 150477, 156566, 130357, 133771, 138745, 140583, 148469, 152753, 156471, 128557, 135901, 137139, 143808, 145519, 149150, 154029, 130860, 135366, 137260, 144277, 147495, 148780, 155368, 129575, 136267, 138168, 143089, 144808, 149591, 153462, 131625, 136387, 138450, 144536, 146475, 148752, 156298, 128557, 135147, 136873, 141995, 148426, 149530, 155624, 131188, 134766, 139311, 142687, 144951, 150655, 155439, 129767, 136362, 138191, 142130, 146339, 152098, 156733, 131397, 135583, 137740, 142897, 145250, 150187, 154660, 130892, 135448, 137777, 144587, 147771, 149977, 153090, 128956, 135606, 138557, 142133, 145156, 149651, 154693, 131671, 134036, 140431, 142551, 148078, 150485, 153780, 131683, 134094, 136494, 142310, 144937, 150990, 155931, 128555, 135069, 139991, 142914, 146450, 149465, 155069, 128343, 134789, 136484, 141157, 145156, 150086, 154445, 130304, 133524, 137139, 142674, 146138, 150292, 154512, 130178, 132925, 139416, 143829, 145757, 152094, 156590, 130448, 134749, 140086, 144620, 147991, 151323, 156367, 131529, 134622, 140470, 141310, 147259, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 60908, 110637, 265, 9234, 123530, 304, 1149, 3862, 102934, 115492, 109824, 114570, 79765, 49328, 547, 7173, 309, 110754, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 147568, 152195, 153271, 130540, 134893, 139860, 141301, 147093, 150016, 152947, 132265, 133437, 138107, 142732, 146252, 152188, 153696, 130589, 134875, 139146, 144182, 146090, 148989, 155074, 128652, 134114, 138839, 144428, 145298, 150982, 153406, 129116, 133971, 138855, 142976, 146102, 150210, 154154, 129843, 135706, 137930, 141234, 144972, 151637, 152897, 131397, 135911, 139608, 142558, 145260, 150292, 156485, 129045, 136076, 138394, 143017, 147914, 152567, 156050, 131530, 133573, 139225, 141439, 148012, 151411, 156365, 130223, 134217, 137750, 143036, 147914, 149452, 153431, 130124, 135626, 138423, 144353, 145093, 149379, 155811, 131821, 132457, 137169, 143885, 148580, 149136, 153434, 128634, 133305, 137817, 143435, 147914, 151920, 156165, 131397, 134422, 137555, 141071, 148084, 151074, 155443, 128634, 134586, 137189, 144254, 147449, 149570, 155002, 131447, 133281, 136545, 141701, 147791, 149741, 153979, 131543, 133407, 137525, 141830, 144983, 151108, 154851, 129055, 135439, 138066, 141756, 146263, 151148, 154425, 132239, 133975, 136991, 143709, 145379, 148775, 153648, 131133, 133274, 139426, 144583, 148301, 151387, 156835, 129813, 132934, 138474, 142643, 147389, 152529, 155230, 129552, 134610, 137149, 140740, 145907, 152792, 154503, 132265, 134226, 139428, 143001, 147783, 151340, 156732, 132240, 135873, 137858, 143408, 148152, 152005, 155510, 130124, 133010, 137992, 141642, 144951, 152141, 155640, 128343, 135358, 137223, 143122, 145807, 152208, 154766, 129575, 136364, 138687, 141092, 145196, 150026, 156371, 130124, 132504, 139044, 141041, 145527, 149896, 155392, 128969, 133943, 140007, 141405, 146438, 149571, 156932, 129718, 133993, 138745, 143167, 147604, 152343, 155500, 128557, 132835, 137608, 144564, 145519, 152077, 156607, 131670, 135463, 138062, 141125, 148628, 149082, 156375, 131543, 132392, 138600, 142866, 148449, 150413, 154400, 128945, 135442, 138654, 143773, 146746, 149843, 155770, 130223, 132369, 136551, 142013, 145595, 151142, 156060, 131543, 135442, 137958, 142393, 147751, 149396, 154869, 129446, 134390, 140519, 141338, 146043, 149781, 154478, 128584, 134165, 138909, 140772, 147953, 152706, 153728, 131933, 133010, 140014, 142058, 144713, 151508, 153247, 129667, 132572, 138877, 143005, 148509, 152686, 156632, 131826, 134441, 137441, 142648, 148615, 150505, 156483, 129273, 132661, 139294, 143674, 146461, 149729, 156349, 130336, 135377, 137681, 140735, 145694, 148934, 156213, 131397, 135706, 138384, 141053, 145351, 150776, 153397, 129496, 136039, 138889, 143239, 145771, 148769, 152974, 131778, 136392, 140121, 142419, 145554, 151213, 155527, 128354, 132965, 139160, 143744, 145128, 149180, 154715, 131952, 133872, 138296, 141339, 145763, 151534, 155519, 132028, 133091, 140496, 141890, 146718, 149567, 156859, 128868, 133191, 137037, 141628, 146386, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 89167, 587, 1048, 108019, 3209, 62594, 103137, 409, 93793, 103040, 106005, 68945, 520, 113941, 3721, 65544, 23854, 103103, 109824, 3900, 396, 4008, 88, 8747, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 145606, 149058, 154328, 130244, 132772, 139085, 141355, 148658, 149627, 153095, 131035, 134525, 137476, 142216, 146874, 149329, 153234, 129813, 135893, 137404, 142108, 147811, 152561, 156247, 130598, 133981, 137354, 141741, 146589, 151414, 156000, 129707, 134121, 139307, 143565, 147965, 148801, 155400, 131571, 136089, 140127, 142402, 145723, 152757, 156229, 131397, 133041, 137267, 140600, 147610, 148941, 155230, 130829, 135926, 137099, 142004, 145906, 150105, 152939, 131397, 135118, 138840, 143316, 145260, 148946, 155292, 131543, 132792, 139600, 144388, 147000, 149899, 156173, 131397, 135503, 138809, 142822, 146623, 150579, 153671, 128634, 134436, 138113, 143526, 147319, 149627, 154569, 128810, 135577, 138662, 142113, 145523, 151202, 155919, 128343, 132366, 138435, 144556, 147210, 151606, 156339, 129273, 132787, 137367, 141188, 147239, 150117, 155710, 132193, 134552, 138704, 142468, 147650, 149893, 154888, 131543, 134552, 137948, 143243, 145783, 151114, 153668, 131826, 135880, 140480, 142942, 146796, 148946, 155207, 129813, 135820, 137268, 143699, 145527, 151460, 155845, 131397, 134861, 138830, 143027, 144894, 149145, 156189, 131821, 135911, 137846, 143570, 148067, 150042, 153590, 128969, 134910, 140444, 142873, 146281, 151487, 156069, 131104, 136111, 137013, 143958, 146674, 152165, 155912, 131397, 133763, 139813, 142985, 144826, 148876, 153473, 128557, 134712, 138924, 141935, 147297, 150854, 154071, 131104, 135993, 140386, 144069, 145006, 150232, 156076, 128343, 132775, 137699, 141995, 145741, 149488, 154208, 131619, 134669, 140116, 142673, 146853, 150672, 155597, 129185, 132520, 139813, 144625, 148424, 151137, 155790, 131104, 135495, 136567, 141109, 144802, 151179, 155660, 130928, 133332, 136957, 143712, 148060, 149098, 154821, 128969, 133064, 139992, 141962, 148424, 152525, 155790, 128555, 134198, 137627, 141928, 144999, 152603, 153186, 129552, 136136, 136597, 143598, 146580, 151418, 156720, 130412, 135651, 140279, 140609, 146048, 151268, 153751, 132185, 135780, 138517, 141148, 145964, 149074, 156291, 130334, 134971, 137952, 140709, 146386, 152168, 156264, 128983, 135924, 137528, 144384, 144931, 151116, 155584, 131187, 135139, 136478, 141666, 145843, 150402, 156099, 132106, 134482, 138264, 143168, 148397, 152266, 153291, 129286, 133399, 138026, 140950, 148161, 151753, 153387, 130282, 135300, 136694, 141554, 147166, 150486, 156219, 129045, 133319, 140450, 141115, 145185, 150524, 155210, 129738, 135433, 139883, 142306, 145506, 151029, 155560, 129423, 133790, 140224, 141583, 146150, 151105, 156655, 131345, 133667, 139910, 142369, 147273, 149875, 153616, 129767, 133428, 139278, 141439, 146651, 149066, 156237, 128652, 135665, 137482, 143112, 147311, 149420, 155151, 129667, 136297, 139938, 143966, 146901, 152477, 156028, 129813, 135811, 139229, 143749, 147588, 150842, 152851, 128889, 132890, 138740, 142347, 148528, 150322, 154937, 128945, 136139, 137522, 144169, 148192, 150351, 153695, 128652, 133764, 139478, 144334, 145494, 150750, 155227, 131104, 136105, 137999, 144324, 148393, 149815, 156006, 128634, 135071, 139502, 144029, 147713, 152162, 155728, 129273, 134991, 140441, 140558, 146475, 152326, 154544, 129735, 132559, 138203, 143489, 146256, 150345, 153133, 130321, 134032, 138773, 141133, 148581, 149239, 156686, 130124, 135904, 139040, 141888, 147269, 152564, 152940, 131397, 133239, 137497, 143202, 146448, 151950, 153763, 128634, 132457, 140040, 142951, 145593, 152325, 155547, 129575, 134686, 137242, 140715, 146670, 152202, 156244, 132215, 135626, 138031, 141003, 147932, 151738, 155597, 128969, 134747, 136962, 143788, 144745, 152065, 156137, 129185, 136414, 139090, 141836, 144808, 148761, 155231, 129552, 136136, 137099, 143247, 145253, 152649, 155275, 131763, 133045, 136626, 141120, 148574, 151568, 154430, 128555, 133206, 138261, 143043, 145494, 151293, 153284, 128952, 132574, 138028, 143831, 146426, 150145, 156621, 128969, 132461, 138028, 142937, 144745, 151442, 153421, 132257, 132756, 136713, 143572, 148242, 150340, 155624, 129933, 135954, 139937, 144445, 146627, 150324, 154862, 132028, 133975, 138846, 141480, 147803, 151699, 152876, 130758, 132726, 136470, 143512, 146642, 151343, 156366, 128258, 128262 ]

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

[ 128259, 128000, 36, 9799, 103103, 102154, 43386, 4008, 7370, 12460, 117258, 11, 1048, 103103, 46937, 45949, 104729, 379, 437, 359, 14115, 11, 1880, 3017, 14966, 18578, 5297, 40957, 124440, 14115, 5320, 568, 1725, 59317, 17372, 668, 1048, 43386, 4008, 7370, 258, 105039, 60839, 1171, 404, 108675, 360, 113865, 104337, 5320, 126603, 16461, 67542, 258, 274, 1299, 39797, 379, 117545, 77024, 3721, 258, 122807, 3141, 102272, 101588, 102114, 16618, 541, 84, 106507, 101844, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 132151, 134098, 138026, 143025, 145313, 151736, 153271, 130591, 135280, 136478, 143016, 146646, 149481, 153417, 128634, 136161, 139933, 141135, 145695, 150166, 156679, 130751, 133548, 138435, 143696, 146966, 150432, 153258, 131397, 134866, 140244, 143778, 148502, 152752, 154994, 132193, 134748, 138288, 144467, 145433, 150793, 153953, 129496, 135655, 136646, 143997, 147509, 149801, 156098, 128757, 136362, 137260, 143688, 148235, 150959, 156866, 129045, 132822, 138046, 142054, 147502, 150265, 154347, 129843, 134482, 137533, 141952, 146728, 152235, 153651, 129045, 132542, 138118, 141358, 148209, 150247, 153023, 131397, 135070, 139553, 144234, 146894, 149741, 152938, 130124, 133609, 139330, 140788, 146712, 152000, 154317, 128634, 136082, 136700, 142770, 148424, 152367, 156534, 128969, 134805, 138062, 140658, 147914, 150769, 155982, 130321, 136445, 140084, 141409, 148175, 152747, 153727, 128562, 134112, 139504, 141870, 145056, 150160, 152990, 129273, 135809, 137553, 143227, 148262, 150703, 153487, 131961, 135221, 138859, 142000, 148172, 148757, 155374, 131397, 136325, 137089, 142858, 146764, 148779, 154520, 131763, 132880, 140099, 142292, 146663, 151307, 155662, 128945, 135564, 138562, 142434, 147091, 150682, 154281, 128500, 133112, 139677, 142512, 144948, 150580, 156199, 131652, 134376, 138142, 144334, 145393, 150082, 153610, 132028, 135954, 140273, 144612, 146428, 149254, 156458, 128914, 132628, 137032, 142780, 145333, 148892, 155429, 131884, 133846, 139135, 142628, 144753, 148983, 155141, 132193, 136440, 138037, 143836, 147488, 148761, 155536, 131014, 134525, 139689, 141183, 146732, 149665, 156370, 131039, 132389, 137260, 144231, 147317, 151202, 153053, 129045, 135954, 136492, 142101, 147054, 152497, 154624, 131188, 136092, 140528, 142607, 146438, 151292, 155961, 131103, 136426, 137132, 143348, 147115, 150819, 153291, 131397, 136289, 136470, 141457, 147509, 152471, 154744, 129053, 135667, 139832, 143319, 148214, 151726, 153716, 129767, 134937, 136921, 142030, 145183, 152545, 155756, 128634, 132457, 139349, 140609, 148084, 152259, 155193, 131397, 136274, 138723, 141215, 147751, 148751, 156197, 131104, 133332, 137570, 141602, 146796, 149301, 155275, 131397, 135627, 139508, 141567, 145488, 150610, 153755, 130321, 132753, 138994, 142786, 146392, 152527, 154305, 131397, 136370, 137920, 141156, 144780, 152377, 152899, 131543, 132704, 137137, 144411, 145434, 150749, 155469, 131397, 134210, 137422, 141316, 148645, 151464, 156098, 131036, 133490, 137499, 141794, 145809, 152692, 156723, 129009, 132832, 140116, 144356, 147369, 149044, 156117, 132028, 134339, 139186, 143041, 145709, 151211, 156182, 130255, 132665, 137419, 142224, 148150, 149567, 152896, 132318, 135926, 138125, 141360, 145812, 151211, 154233, 128813, 135421, 136468, 143181, 146405, 149699, 154356, 128804, 133052, 136478, 142041, 145413, 149459, 155285, 130418, 135626, 139945, 144095, 148632, 151209, 153344, 131432, 135549, 139524, 141376, 144914, 152720, 155412, 129106, 133399, 139321, 142344, 144805, 148757, 153110, 131461, 133226, 140236, 143691, 144760, 151669, 154611, 129575, 134719, 138125, 143679, 145695, 149048, 155244, 129045, 132416, 136996, 143019, 146745, 150879, 154040, 128634, 135061, 137990, 142321, 145333, 150682, 154388, 129711, 133303, 139083, 144334, 146636, 150949, 154305, 131188, 133005, 138266, 141296, 145183, 151464, 156485, 129575, 133459, 139258, 143512, 145505, 151159, 155599, 129496, 135503, 139733, 143732, 148084, 150810, 156534, 129423, 133399, 139687, 140922, 145153, 152477, 154095, 130039, 135480, 140342, 140614, 144834, 152080, 155264, 132259, 136448, 140161, 142132, 148325, 151037, 153532, 129273, 134187, 140332, 144319, 145434, 150771, 155699, 129045, 133735, 139511, 142100, 147311, 150406, 152868, 131397, 133934, 137200, 144063, 145695, 151823, 156932, 131826, 135626, 138241, 144457, 145795, 150134, 154610, 132051, 134983, 137843, 141615, 145420, 150222, 155356, 129813, 134292, 138749, 144005, 145460, 152692, 153143, 132098, 134242, 137748, 140894, 144905, 150656, 154856, 131798, 135117, 138168, 143172, 146450, 150490, 156828, 129667, 134453, 139623, 142524, 145864, 151551, 153756, 129843, 133982, 138726, 142058, 145434, 152559, 153835, 129045, 134586, 136744, 141923, 148084, 152149, 155009, 131397, 133217, 137762, 143660, 147099, 151864, 154380, 128956, 135504, 137414, 142100, 144693, 148814, 153004, 129504, 132687, 138774, 143446, 145224, 152344, 156385, 131571, 134184, 140447, 143168, 147549, 150399, 155224, 130772, 136006, 137233, 143345, 147604, 152600, 154411, 131035, 135835, 137007, 142630, 147887, 150510, 155350, 131821, 133959, 137299, 140922, 145695, 150372, 154815, 128652, 135455, 138908, 141823, 147137, 148961, 154422, 128584, 135665, 137744, 143027, 145808, 149667, 156461, 131866, 134365, 138266, 142016, 148092, 150334, 155990, 129813, 133336, 137869, 141137, 147461, 151637, 155087, 128956, 135747, 137215, 142953, 144876, 149661, 156322, 130221, 135811, 137488, 142761, 145291, 152739, 154945, 128983, 135252, 140403, 142932, 148212, 149974, 153411, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 131529, 133318, 139880, 140709, 147259, 151104, 153384, 131553, 134735, 139643, 142616, 147501, 151550, 156104, 131345, 134718, 136928, 141177, 148673, 149959, 156437, 129045, 133573, 140479, 144093, 147348, 151784, 154284, 132265, 133964, 137976, 141694, 145151, 152289, 156037, 131884, 132992, 136562, 140952, 145760, 151011, 154393, 131763, 135358, 137603, 144183, 148301, 151473, 156343, 129045, 134174, 138984, 143181, 145612, 149194, 155209, 130486, 132576, 138871, 141146, 145695, 151654, 154112, 128634, 133324, 140407, 143168, 144886, 149032, 156161, 131826, 133010, 139518, 144630, 145298, 152209, 154814, 130124, 134388, 137624, 140689, 148585, 149014, 152985, 130412, 133376, 139473, 141688, 145016, 149782, 156150, 130336, 132717, 140186, 141546, 145114, 150658, 155519, 131035, 135439, 140201, 141288, 147346, 148772, 153516, 129813, 136222, 138370, 142807, 147172, 151114, 154028, 132265, 132471, 140143, 144024, 146787, 149729, 155685, 129813, 135153, 140342, 143826, 147359, 152766, 152845, 128761, 136079, 139194, 140608, 145208, 152749, 154525, 131397, 135627, 139950, 143754, 146456, 150252, 156267, 129813, 135153, 139089, 143123, 145937, 152496, 152851, 131397, 133993, 139430, 144544, 145995, 148965, 155410, 128873, 134744, 137760, 142758, 147224, 150816, 154478, 128520, 134420, 137902, 141003, 148595, 149169, 155131, 129575, 132695, 136980, 142796, 145591, 151304, 153141, 132185, 134229, 138975, 142377, 145042, 150501, 154638, 130334, 134098, 138944, 143976, 146386, 152168, 156264, 132151, 135924, 139983, 144383, 147990, 152449, 154073, 128652, 134572, 136630, 141296, 147166, 152581, 154621, 128634, 135442, 139827, 140600, 148352, 149688, 154388, 131096, 134986, 137399, 140564, 147803, 150145, 156733, 129767, 134750, 137841, 141947, 147953, 149254, 154706, 129667, 133268, 138431, 143694, 144972, 150810, 156373, 130039, 132704, 138749, 141710, 147359, 150177, 154587, 130336, 133952, 137350, 142558, 147093, 151970, 153573, 128956, 133010, 138291, 141875, 146712, 152120, 154414, 128914, 135979, 139528, 140922, 144901, 150292, 156137, 128634, 133496, 139873, 142120, 147228, 151035, 156788, 128889, 132471, 137888, 142882, 144657, 151484, 153477, 130854, 133262, 138665, 141440, 146965, 150810, 155511, 132265, 134677, 137474, 144347, 145906, 150030, 154694, 131035, 132379, 138962, 141298, 146201, 151880, 154951, 131104, 135116, 139981, 144553, 147632, 151452, 154884, 130124, 134511, 139553, 141768, 145875, 152437, 155613, 129575, 133587, 138808, 143099, 146716, 151431, 156394, 130124, 132844, 138310, 143713, 145183, 149847, 153539, 131397, 132704, 138654, 141016, 146094, 149175, 155337, 132193, 134039, 138808, 142755, 145168, 149592, 155799, 132116, 134054, 139280, 141261, 148414, 150208, 156476, 131104, 135458, 140143, 143737, 146840, 150395, 153939, 131397, 134552, 139072, 142779, 146456, 151273, 154888, 129200, 134094, 136965, 143654, 147498, 151846, 154040, 128520, 132934, 137787, 144183, 146105, 150034, 154869, 129937, 132908, 137241, 143596, 145648, 150772, 155690, 128813, 134482, 137789, 140796, 146405, 151166, 154724, 128868, 132754, 138269, 141278, 147259, 149657, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 139880, 142067, 146760, 150530, 154887, 132232, 133766, 137935, 144473, 148424, 151795, 156169, 128634, 136292, 139445, 141996, 148158, 151212, 154566, 129813, 135651, 137339, 143813, 144759, 150703, 156641, 128827, 132369, 139373, 141364, 147650, 149649, 155853, 128634, 135667, 136473, 143493, 144805, 152077, 156844, 132232, 135439, 137996, 143991, 145753, 150986, 154074, 129813, 133024, 137343, 143175, 147994, 151833, 154447, 128634, 135480, 137377, 140890, 146052, 151211, 154262, 131104, 133010, 139931, 141103, 146526, 151007, 153421, 128652, 136374, 138186, 142434, 146448, 151347, 154083, 129472, 134051, 137720, 141935, 147261, 152164, 156666, 128634, 134160, 138405, 141642, 146448, 151795, 155891, 128652, 133555, 139366, 140966, 146594, 151111, 155182, 129813, 135358, 138409, 143004, 146712, 151983, 155238, 131397, 136364, 138767, 144069, 147702, 149530, 152967, 131543, 135332, 138089, 141910, 148073, 149871, 156532, 130012, 134056, 138593, 144033, 148646, 148886, 156903, 131188, 133206, 138647, 142124, 148733, 150050, 155042, 128969, 132797, 139071, 141873, 144792, 149161, 153483, 131397, 135943, 137491, 142631, 146600, 150484, 155045, 131667, 136165, 138176, 143147, 148307, 151995, 154574, 131014, 136315, 137729, 144587, 146031, 150883, 154300, 128741, 134598, 138929, 143826, 144701, 150102, 153298, 131667, 133011, 137814, 143502, 146226, 151528, 156265, 131397, 135351, 139051, 142130, 148426, 151179, 154158, 131543, 132658, 138990, 141645, 146359, 150803, 154159, 130892, 133125, 140370, 143421, 148424, 151536, 153482, 131341, 134914, 138034, 144368, 145709, 151333, 153825, 130178, 134287, 139922, 144475, 147402, 150381, 153523, 132028, 135162, 136743, 143148, 148135, 149672, 152852, 130255, 134883, 138767, 142277, 147549, 152763, 156590, 128868, 135862, 139733, 140715, 146386, 149353, 154120, 128258, 128262 ]

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

[ 128259, 128000, 42, 100946, 83, 11, 122807, 101958, 127803, 121138, 100463, 13, 328, 3029, 7756, 72, 107877, 101844, 11, 297, 107388, 102053, 1565, 2779, 6348, 74, 699, 318, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 146386, 150314, 154410, 132151, 134788, 140060, 142309, 144681, 152576, 154373, 128817, 134191, 139889, 143147, 144963, 150384, 156835, 128557, 132844, 140139, 142714, 146364, 149461, 154550, 131543, 135237, 140412, 142406, 147730, 151360, 153019, 129045, 134606, 137536, 143856, 148368, 149301, 156447, 128520, 134947, 136564, 143089, 145079, 150890, 153416, 129933, 135858, 136614, 144481, 146802, 150823, 154597, 130448, 135261, 138003, 141976, 148214, 148775, 152871, 131269, 133975, 139179, 142409, 145689, 150516, 153751, 130255, 132464, 138881, 143976, 145275, 151726, 153271, 132185, 133820, 137794, 142377, 145606, 150557, 154034, 130334, 134971, 139371, 142122, 146386, 152168, 156264, 131529, 133318, 138026, 141855, 145076, 148756, 154227, 128969, 136234, 138742, 140749, 145298, 151549, 155327, 130854, 133206, 137132, 144231, 147016, 151831, 155108, 128368, 134188, 140541, 142764, 147490, 152674, 154913, 129813, 134677, 138583, 143036, 146494, 150777, 154093, 131821, 133779, 139733, 142546, 145496, 152692, 153300, 131397, 134335, 137513, 143019, 145394, 150516, 155392, 132259, 135651, 137744, 141378, 147721, 150384, 153061, 131821, 133779, 137866, 143500, 147117, 152339, 155022, 131397, 134613, 140425, 141395, 146965, 148903, 155733, 128339, 132572, 136856, 143962, 144860, 152676, 155656, 131821, 134292, 137744, 141691, 145298, 150755, 152900, 128634, 134906, 140332, 142843, 144972, 148929, 156378, 129813, 135747, 138186, 143500, 145237, 149341, 153542, 131397, 133154, 139876, 143223, 145691, 148770, 153258, 128956, 132369, 137790, 144344, 147501, 150579, 154295, 130244, 133145, 138367, 142445, 146273, 151167, 156157, 131397, 135229, 138397, 144541, 147915, 148873, 153385, 130282, 133762, 137842, 141867, 145118, 151475, 153739, 131543, 135506, 138408, 143884, 145203, 151366, 156105, 130457, 132991, 140481, 144481, 146409, 151157, 152948, 132028, 132855, 138157, 140839, 147444, 149552, 156500, 130758, 134419, 138767, 141328, 146263, 150868, 154620, 132318, 135926, 140122, 143333, 148150, 152103, 156199, 129464, 136090, 138763, 141074, 147729, 149569, 153134, 129045, 134263, 140148, 143800, 148352, 152731, 154237, 131397, 133472, 136555, 141665, 145695, 149786, 153911, 131826, 134929, 137831, 141761, 146901, 149564, 154513, 131397, 133010, 138858, 143135, 145591, 150067, 153675, 130751, 135164, 138236, 143348, 146504, 149808, 153554, 129813, 135173, 139866, 141254, 146526, 152545, 155473, 131397, 135657, 139016, 143534, 145203, 150953, 154609, 131188, 136161, 137932, 142682, 145436, 150315, 153022, 128956, 134469, 138193, 142548, 146467, 149262, 153350, 132028, 135868, 137961, 144481, 146250, 150319, 156753, 130448, 135926, 138292, 141328, 147369, 148758, 155853, 130255, 135954, 136492, 143969, 146237, 152397, 154004, 128850, 135124, 136935, 144050, 146993, 151946, 156905, 129792, 134099, 138560, 140890, 145524, 149017, 153812, 132265, 133233, 136654, 140903, 145005, 148940, 153674, 131397, 136307, 137041, 140791, 147239, 151074, 156249, 131860, 135665, 138167, 140971, 145613, 151992, 155298, 131543, 134280, 139981, 143254, 144657, 151549, 155528, 131188, 132369, 139967, 142563, 145695, 149778, 154095, 129012, 133036, 136462, 144320, 148168, 150930, 156675, 131543, 133146, 139816, 144059, 145080, 152419, 153587, 132098, 136139, 140099, 142480, 144769, 150949, 153606, 131188, 133229, 139699, 143666, 147000, 148786, 153503, 131397, 136403, 138771, 142216, 144770, 149858, 155942, 130847, 135082, 138070, 144568, 146448, 149096, 155790, 128652, 135588, 138902, 142996, 146825, 148993, 156708, 129940, 135926, 137281, 144357, 148696, 149780, 152990, 130223, 134771, 137920, 141610, 148424, 151643, 153397, 129675, 134378, 137846, 142901, 146527, 151428, 156000, 128652, 133229, 140087, 142354, 145776, 148805, 155475, 128956, 135811, 140533, 141666, 146035, 149932, 155217, 131434, 135154, 137218, 140587, 147317, 150514, 152886, 130013, 134376, 136808, 143581, 145377, 151883, 156921, 130929, 135317, 138381, 140721, 145044, 149277, 156661, 131363, 134922, 138143, 142324, 147428, 149747, 154614, 131529, 132788, 137179, 142085, 144721, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 50, 1299, 16507, 5320, 120800, 96548, 103838, 121277, 14036, 809, 30596, 11257, 359, 110013, 4168, 1072, 13, 107997, 107091, 102154, 264, 3742, 65544, 597, 1013, 6729, 379, 2448, 4341, 3862, 657, 105405, 94395, 484, 408, 2923, 67462, 57398, 5320, 120249, 114231, 31285, 6634, 116662, 49621, 111485, 636, 47435, 297, 114117, 5320, 110693, 359, 3209, 102824, 579, 31285, 32575, 102272, 101588, 27955, 104181, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140403, 143670, 146506, 151203, 156526, 130409, 132543, 138910, 142878, 148275, 151503, 155055, 129756, 135266, 137396, 144616, 145005, 151581, 156914, 131035, 132717, 138950, 142734, 145488, 151145, 153867, 131501, 136307, 138477, 144211, 148712, 151573, 155951, 129286, 133407, 139789, 143212, 145571, 149016, 155356, 132193, 136214, 139505, 144191, 148502, 151631, 153542, 131397, 134805, 136553, 144517, 146461, 148827, 153739, 131826, 132684, 139874, 144432, 146131, 150032, 154411, 131188, 133551, 138886, 144113, 146889, 152218, 155074, 131222, 132826, 139135, 143783, 147487, 152051, 155613, 128436, 132684, 139383, 140859, 147730, 152051, 156002, 131103, 135818, 136740, 143051, 147953, 152214, 155898, 129575, 132826, 137307, 143348, 145875, 151249, 156705, 131103, 135214, 136627, 142384, 148424, 148929, 153765, 129045, 133645, 139087, 144308, 145922, 151007, 153035, 128634, 133462, 140158, 140637, 146010, 151404, 156245, 128969, 135987, 137846, 140891, 145068, 152747, 155713, 132127, 133826, 140423, 143053, 144875, 150516, 153516, 129045, 134150, 139116, 143758, 148209, 151196, 155272, 130124, 135921, 137943, 140696, 148449, 150799, 156477, 129813, 133056, 139585, 143828, 144994, 149910, 154208, 130321, 136266, 137863, 142935, 146928, 150208, 155010, 129496, 134142, 137141, 141583, 146619, 149971, 156384, 128545, 135831, 138483, 141999, 147020, 151957, 154318, 131164, 134671, 138989, 142286, 147954, 151649, 153299, 129813, 133998, 139955, 142864, 147237, 149729, 154884, 131244, 133707, 139320, 144604, 148663, 152527, 155104, 130465, 135466, 138690, 140732, 146070, 149841, 154147, 129106, 134219, 140297, 142285, 147152, 151530, 152958, 129552, 136356, 136672, 144521, 145132, 148922, 153391, 131908, 134161, 137047, 140783, 146247, 149174, 155158, 130881, 136161, 138136, 140727, 146676, 150730, 153597, 130847, 132717, 137899, 143502, 145243, 149188, 155695, 131397, 132666, 137374, 143977, 146461, 151179, 155695, 129767, 132835, 138891, 142148, 145123, 149036, 155737, 130892, 136161, 140386, 141053, 147298, 150187, 153597, 131397, 135551, 139873, 143143, 146461, 152169, 156621, 131104, 134958, 139484, 142665, 147724, 150333, 156934, 131288, 133235, 136684, 143662, 145481, 150751, 153446, 131081, 134737, 137132, 140885, 147433, 150423, 155301, 129933, 132468, 136616, 144334, 144953, 150693, 154295, 130912, 133061, 136743, 142480, 145812, 151360, 155307, 132028, 133745, 137014, 140643, 148552, 150864, 155419, 128656, 133401, 137459, 140643, 148480, 151008, 153665, 130966, 132899, 138093, 144435, 147609, 150695, 155755, 131158, 134807, 140227, 142398, 145018, 151373, 156672, 128983, 133766, 137849, 142040, 145835, 149699, 155231, 131563, 135754, 137935, 143330, 145776, 152161, 153381, 130147, 136083, 140530, 143056, 145871, 149307, 153645, 131397, 133641, 136823, 141189, 146286, 151088, 156683, 128339, 135282, 137314, 140718, 146551, 150762, 156841, 131397, 133567, 139871, 142431, 147304, 149407, 155580, 132017, 133016, 140002, 143391, 147709, 149643, 153034, 129045, 133642, 139806, 143745, 145875, 148770, 155560, 131160, 135214, 138327, 142197, 145444, 150573, 156323, 129718, 134138, 140143, 143004, 146874, 152511, 155626, 131826, 134251, 139315, 142238, 147477, 148829, 154163, 128545, 133769, 137581, 144530, 144938, 150049, 155437, 130168, 133135, 137967, 143922, 145748, 148963, 154145, 128439, 135796, 139042, 143601, 148712, 149571, 154834, 128634, 133407, 136593, 140980, 146728, 150395, 153260, 129813, 135071, 136652, 140913, 144903, 151691, 154306, 131687, 134188, 138651, 141752, 145906, 151964, 155510, 129667, 134805, 137646, 140616, 144972, 151508, 155962, 131104, 136001, 139496, 144522, 148585, 152822, 153714, 131543, 136236, 138321, 140971, 145842, 152749, 156933, 130124, 134187, 139288, 141049, 145591, 149085, 154396, 129813, 135071, 136464, 142385, 147314, 151036, 153014, 129589, 135026, 138876, 143957, 147093, 152077, 154393, 129667, 134805, 136824, 143229, 148585, 151374, 155241, 129813, 135864, 138371, 141149, 147359, 151944, 154276, 129262, 134070, 140468, 141109, 147844, 151964, 154441, 129192, 133453, 138528, 141873, 147953, 149341, 156173, 130124, 133407, 137999, 144097, 145695, 149999, 155607, 131035, 133678, 137523, 144358, 144899, 150192, 154935, 131821, 132611, 138627, 142647, 145593, 150158, 156629, 131614, 133056, 137694, 143681, 148595, 152685, 153929, 128758, 132826, 139091, 143606, 146974, 151415, 153036, 131164, 133407, 137010, 143044, 148364, 151614, 153147, 128608, 132684, 138414, 142510, 145006, 149928, 153238, 129708, 136310, 136606, 141477, 146901, 152305, 153951, 131614, 135865, 139821, 141179, 145183, 150706, 154312, 128402, 135164, 138972, 142362, 148367, 149195, 155927, 128634, 136363, 136616, 142950, 145695, 149420, 156931, 132098, 132706, 138183, 143464, 146860, 152009, 156365, 128652, 135937, 139708, 142490, 148691, 150932, 155091, 131286, 134160, 140138, 142229, 148153, 151128, 154799, 128557, 134138, 138411, 144436, 147077, 151054, 154888, 129667, 133268, 139072, 143229, 148545, 149738, 156582, 131160, 134565, 138437, 144133, 144669, 150118, 154780, 129667, 135436, 140330, 142602, 147763, 152791, 154514, 131114, 134051, 138136, 142752, 147808, 152603, 156690, 131036, 135847, 136978, 141935, 144662, 152723, 154544, 130475, 135675, 138988, 141498, 145114, 149551, 154284, 128850, 135358, 136986, 142039, 147349, 152629, 156551, 131884, 136161, 137456, 143692, 144798, 152612, 155913, 129987, 133226, 136667, 142686, 146505, 148871, 155438, 128557, 133435, 139883, 141594, 148468, 150958, 153488, 128945, 134535, 138985, 144541, 148729, 150751, 154444, 130591, 134750, 136705, 141723, 147568, 149864, 154000, 130334, 132788, 140367, 144531, 146386, 152168, 156264, 128868, 134098, 139453, 142176, 148042, 151629, 155407, 129667, 134933, 138186, 143763, 144972, 151667, 154529, 128652, 132416, 137007, 142100, 145095, 152811, 153179, 131821, 136234, 136616, 143537, 148352, 149729, 153359, 129667, 135237, 138255, 141285, 147525, 152198, 153435, 132116, 135556, 139987, 142264, 148114, 151891, 155368, 130336, 133005, 139676, 143827, 147994, 152117, 155411, 131286, 134306, 136968, 141064, 147298, 151141, 153770, 130751, 134569, 137490, 143603, 148165, 151014, 155443, 130552, 135476, 140068, 140574, 147568, 149502, 155171, 130334, 134971, 137759, 142122, 146386, 152168, 156264, 132191, 133318, 140370, 141180, 148078, 152469, 155466, 128589, 132945, 140261, 143742, 146152, 150890, 155189, 132265, 134341, 137758, 141875, 145189, 151772, 153521, 131571, 133422, 138252, 141359, 148175, 151434, 154208, 129552, 135651, 137578, 144083, 145673, 151908, 153041, 130475, 134705, 136916, 143694, 146067, 150016, 156896, 128439, 136160, 137508, 143951, 147965, 151173, 153878, 129718, 132478, 139131, 143745, 145695, 149426, 156574, 130147, 133268, 138450, 141586, 146666, 150703, 155757, 128956, 136363, 139947, 141824, 144657, 150271, 156629, 128557, 135811, 136604, 141817, 148262, 152282, 155095, 129423, 135504, 140143, 144529, 147099, 149477, 154922, 130614, 134624, 140003, 141885, 144749, 151810, 156325, 130124, 134276, 140232, 141760, 146564, 152814, 154926, 128969, 136257, 139247, 142026, 146438, 150028, 155038, 128634, 133928, 137386, 140628, 145659, 150987, 153725, 131035, 134457, 139438, 143219, 144808, 152494, 155917, 131188, 132844, 137362, 142671, 146813, 149130, 156607, 129423, 135884, 140082, 143223, 144889, 149064, 154321, 131397, 133442, 137928, 140769, 145864, 149446, 155473, 129045, 133172, 136572, 143663, 146021, 152306, 156880, 130552, 135895, 139113, 143570, 147568, 150476, 154724, 130334, 132433, 140435, 143022, 147259, 148901, 152997, 132151, 134971, 140337, 142309, 145313, 152723, 156751, 130255, 134393, 137385, 141080, 145312, 152464, 153097, 130412, 135762, 140207, 143646, 145929, 151609, 153782, 132193, 132717, 136642, 140967, 148301, 150662, 153060, 131028, 132543, 140286, 144102, 148346, 149350, 152877, 130979, 132563, 138984, 140589, 144851, 151831, 153664, 130223, 132653, 140335, 142123, 147956, 151919, 153473, 129843, 132706, 138238, 140673, 144657, 151530, 156211, 128634, 135442, 137636, 142205, 148614, 149362, 155647, 128969, 133850, 139171, 142947, 147488, 150982, 155630, 128634, 133305, 137233, 141265, 147359, 152720, 153999, 129552, 132908, 139834, 143716, 146216, 150932, 153691, 129045, 134274, 138644, 142964, 144971, 150009, 154958, 131543, 132369, 137039, 142501, 144782, 151987, 154153, 129609, 134514, 136844, 143902, 145709, 151951, 153320, 131397, 136274, 136948, 140700, 147239, 150424, 153569, 129273, 135504, 138237, 144037, 144782, 152276, 156699, 130333, 134301, 137139, 143890, 145068, 152256, 153259, 131397, 132879, 139687, 144340, 144876, 151970, 156019, 128634, 136297, 140416, 143564, 146670, 150933, 154430, 131214, 135638, 140012, 143290, 145545, 149813, 156098, 128634, 134848, 140396, 143076, 148236, 151430, 154439, 130725, 135248, 140166, 144557, 147491, 149132, 156182, 131035, 133394, 137264, 143694, 145695, 152373, 153846, 128634, 134871, 137569, 143079, 147762, 148972, 154535, 129767, 135842, 136705, 142394, 145132, 151796, 156076, 131397, 133993, 139126, 144387, 147791, 150510, 155369, 131188, 135474, 136491, 141103, 145695, 152255, 152859, 131397, 133407, 139011, 142947, 145670, 152602, 153241, 128634, 133817, 140293, 143810, 145695, 152005, 153157, 128652, 132741, 138497, 142843, 147844, 151120, 156370, 128969, 135646, 138101, 142404, 146505, 151041, 152988, 128634, 133817, 137582, 141199, 146448, 151764, 155110, 128812, 134363, 138027, 140966, 146281, 151440, 152925, 129813, 132865, 136491, 143122, 146362, 151179, 155936, 128995, 133851, 139639, 141589, 146139, 150517, 156076, 131630, 133653, 139032, 142480, 145228, 152040, 153699, 130282, 133019, 139706, 144318, 144975, 149277, 155963, 131397, 133056, 139154, 142752, 147052, 152797, 156258, 132103, 135285, 138371, 141963, 146193, 148780, 153498, 129967, 133711, 138598, 142433, 146395, 151240, 154837, 132028, 135868, 137242, 140583, 145419, 149110, 155307, 130912, 133524, 138125, 140564, 145608, 149499, 156409, 131269, 134165, 137823, 141995, 146566, 151699, 156045, 128868, 135385, 137740, 141453, 146386, 152195, 155013, 128258, 128262 ]

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

[ 128259, 128000, 33, 102816, 110637, 2881, 486, 111668, 636, 2923, 1247, 459, 75, 4214, 48980, 100679, 5320, 3399, 409, 107388, 40528, 18864, 123361, 13, 128009, 128260, 128261, 128257, 131283, 134047, 139283, 142943, 147685, 149340, 153189, 130255, 134468, 136852, 141796, 147450, 148800, 154381, 131341, 134590, 136583, 144304, 146894, 149595, 153909, 131397, 134606, 138985, 142216, 146894, 150105, 155657, 131188, 135990, 137438, 143282, 148657, 150819, 153095, 129045, 133360, 139470, 143603, 144977, 150315, 152856, 128634, 132962, 140475, 141287, 145691, 150571, 152906, 132098, 135338, 139638, 142150, 148595, 151001, 155400, 129667, 132975, 138992, 143572, 145756, 149233, 153618, 131397, 135865, 136916, 144037, 148352, 149136, 156658, 129286, 136292, 137119, 143507, 144972, 151877, 155768, 131397, 135503, 136878, 143229, 147635, 152226, 153052, 128634, 133699, 138016, 143360, 147730, 152488, 155723, 129045, 133797, 137427, 143105, 147562, 150585, 156154, 131104, 132607, 138295, 141012, 147635, 149729, 154666, 129286, 132865, 138189, 141149, 145716, 152157, 156645, 129496, 135147, 136473, 143170, 148084, 149591, 156070, 131397, 133544, 137551, 141655, 147599, 151941, 155700, 131763, 135071, 138910, 141366, 147968, 149266, 154571, 132106, 134407, 137902, 140644, 146449, 150896, 155695, 128339, 134186, 138991, 142504, 147531, 150814, 154232, 129485, 135054, 139933, 141528, 147921, 149160, 154833, 129126, 133045, 137967, 143018, 145671, 149080, 154282, 131218, 134728, 140247, 142545, 147484, 151992, 156699, 132074, 132665, 136708, 143829, 145812, 150349, 154228, 132028, 135954, 137037, 141945, 145952, 152652, 156234, 130255, 135954, 137911, 141995, 145641, 150132, 156621, 132318, 135862, 137341, 141945, 148200, 151093, 156621, 128983, 134177, 136887, 141437, 147181, 150918, 155212, 130998, 133103, 137972, 142068, 145251, 152270, 156784, 131397, 133175, 137958, 143374, 147791, 150348, 153897, 129496, 133779, 137697, 144558, 145434, 151566, 154587, 131397, 135147, 139570, 144341, 145691, 150898, 156874, 128956, 135185, 139837, 141547, 147488, 152754, 153765, 129667, 133551, 137250, 142453, 144743, 151248, 156037, 129813, 134386, 138538, 144285, 147646, 151417, 154263, 131397, 136136, 137636, 142013, 145943, 150750, 155396, 132049, 133544, 137914, 141062, 145924, 152720, 156784, 128354, 133765, 140467, 140985, 145656, 149245, 153346, 130847, 134087, 137222, 142130, 148172, 152137, 156733, 129940, 134861, 137098, 142311, 147880, 149317, 154282, 131453, 132972, 137392, 140809, 145253, 151641, 153034, 130487, 135448, 139912, 143304, 146105, 151840, 154763, 131719, 132577, 139727, 141880, 147803, 150742, 156769, 131952, 132468, 137223, 143565, 148150, 148758, 153768, 130318, 135845, 137264, 142007, 148242, 150132, 153233, 130255, 133521, 136468, 141133, 148150, 149258, 153335, 128868, 134665, 139661, 141293, 146386, 150511, 155013, 128258, 128262 ]

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

[ 128259, 128000, 7850, 391, 106456, 816, 3862, 657, 105405, 34143, 102430, 122061, 1354, 301, 105328, 80726, 102806, 15606, 1370, 46378, 38511, 126561, 115702, 57398, 109131, 14115, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 146386, 152168, 156264, 132151, 134971, 137971, 142309, 146334, 152576, 154328, 129133, 132817, 136900, 144324, 145514, 152221, 154076, 129718, 133268, 139712, 144193, 146357, 151499, 153291, 131397, 135147, 137869, 141694, 145057, 150236, 156261, 130487, 134578, 139687, 142277, 146959, 148942, 154637, 131543, 132477, 136487, 144147, 145057, 151114, 153094, 130223, 134878, 138766, 142533, 148168, 152472, 153954, 128956, 135588, 137814, 141338, 147715, 148825, 155695, 128893, 133303, 136537, 141673, 148663, 149692, 153133, 130321, 134420, 138984, 142170, 146572, 152279, 153373, 128369, 133112, 136881, 144621, 144715, 152378, 155144, 131318, 133850, 140262, 141965, 145306, 149325, 153335, 129221, 135576, 139424, 143176, 144680, 152094, 153388, 130255, 134376, 138760, 143683, 146405, 149387, 153960, 128868, 133025, 136619, 142932, 147259, 150569, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 137952, 141855, 148068, 150412, 153446, 132232, 135419, 138717, 143201, 148424, 149093, 154652, 129045, 134951, 137314, 140578, 147946, 149999, 155963, 128520, 134084, 137959, 143606, 146894, 150935, 153124, 129496, 132818, 139343, 140836, 144972, 152722, 154587, 130457, 134878, 138473, 141713, 145906, 148820, 153819, 129045, 136183, 138726, 140689, 148637, 149183, 154684, 130465, 133079, 139972, 144447, 145519, 150109, 152988, 132193, 133763, 138888, 140637, 144907, 150390, 154300, 128592, 133686, 139965, 142570, 145868, 149655, 155228, 131543, 136216, 138013, 144378, 144805, 151603, 156029, 131397, 135237, 139027, 141677, 145123, 151074, 154808, 129045, 135655, 137711, 141570, 146220, 149550, 153030, 130321, 134194, 139971, 144040, 147228, 152804, 153391, 131104, 132895, 140213, 144533, 146861, 149702, 156817, 132265, 135199, 139990, 142825, 145237, 152154, 154020, 130336, 133993, 139089, 143740, 144903, 152566, 154858, 132193, 133631, 137894, 141418, 148313, 151525, 154513, 129106, 134337, 136716, 143349, 148352, 150853, 154093, 131035, 136403, 137879, 142873, 146564, 152608, 154847, 131104, 133779, 137047, 143666, 148352, 149451, 154915, 131039, 134605, 136907, 140714, 147253, 149453, 156362, 131397, 132376, 136856, 143187, 144805, 151620, 156573, 130124, 134150, 139505, 144118, 146813, 151315, 155514, 129045, 134525, 139091, 143749, 146991, 152766, 156073, 131543, 134278, 136598, 143376, 147166, 152162, 156373, 128634, 136025, 137269, 141012, 147916, 152171, 156607, 129813, 132457, 137189, 143601, 145263, 149762, 155137, 129667, 135811, 140138, 141285, 148380, 151362, 155517, 130336, 135071, 139027, 142453, 146402, 149263, 156789, 128634, 134332, 137421, 140889, 146435, 152749, 155138, 129667, 133407, 139670, 141334, 145593, 150067, 153989, 131409, 132683, 137682, 144121, 147397, 150025, 156649, 131014, 133685, 140139, 140700, 145843, 151974, 154346, 131543, 135221, 136652, 142531, 145976, 150843, 154304, 128402, 133669, 139277, 141733, 144778, 150816, 154804, 129045, 133928, 136526, 141321, 147960, 151238, 156510, 131530, 133101, 138528, 143080, 145644, 150816, 154147, 130124, 134160, 138538, 140735, 147730, 149838, 154962, 128634, 133868, 139415, 140878, 147791, 150421, 153424, 131447, 135197, 137999, 142822, 147201, 152058, 156060, 128600, 135674, 140473, 144481, 146068, 151467, 154450, 128634, 133817, 137053, 142962, 144745, 149434, 153939, 128812, 132895, 138424, 141199, 145593, 151881, 155140, 131188, 132889, 137003, 140862, 147502, 151920, 153178, 130012, 133023, 136559, 141322, 144921, 152548, 153164, 129667, 136297, 139300, 141868, 146211, 149843, 154035, 129070, 132891, 138662, 142622, 145388, 149715, 154623, 131397, 135627, 138506, 142572, 146241, 152700, 156304, 131763, 134926, 139865, 140806, 144894, 151462, 153131, 128969, 133078, 138541, 143201, 145436, 150656, 156882, 131961, 134995, 139889, 140640, 145680, 151001, 154058, 131670, 134633, 140088, 141269, 148655, 148864, 156815, 132239, 136359, 137376, 140882, 147794, 150040, 154692, 130457, 134084, 139850, 144206, 147852, 152715, 156739, 129106, 132370, 139711, 142540, 148210, 149363, 155837, 131680, 136422, 137776, 141360, 146802, 149841, 153373, 132239, 134277, 136580, 140608, 145528, 151397, 155822, 130255, 134468, 139983, 141805, 148242, 150589, 154228, 128868, 133891, 139469, 140710, 146386, 149294, 154945, 128258, 128262 ]

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

[ 128259, 128000, 51, 1494, 1083, 1608, 458, 65, 117205, 68945, 1048, 18137, 14283, 258, 25719, 12574, 107877, 102983, 1263, 84, 13, 37919, 7792, 668, 109512, 110318, 47879, 120723, 12874, 25769, 100500, 541, 3178, 13, 121744, 480, 676, 295, 52152, 435, 491, 68, 1169, 64105, 472, 288, 6, 6729, 11, 18798, 72, 402, 21148, 104383, 426, 1290, 383, 5746, 22827, 84, 11, 64705, 20468, 25188, 22827, 356, 2734, 295, 5320, 356, 2701, 2734, 336, 6, 6729, 11, 128009, 128260, 128261, 128257, 130998, 134047, 138281, 142943, 147350, 150160, 155620, 130244, 136301, 139368, 143385, 146813, 150020, 155560, 128828, 134337, 136482, 141115, 148099, 149107, 153553, 129813, 133666, 139596, 142962, 145394, 152122, 156777, 128634, 132829, 138195, 142282, 147810, 149233, 154663, 129644, 135747, 136925, 144037, 148691, 150741, 155037, 130486, 134613, 136665, 143015, 145805, 151579, 154224, 128634, 133303, 138004, 141228, 145691, 149278, 154734, 129644, 133618, 139325, 142793, 146710, 151753, 153513, 132173, 135059, 139598, 143445, 148673, 150288, 153176, 131447, 132865, 140430, 144410, 147914, 151131, 155961, 129644, 135626, 138599, 142670, 145695, 151955, 154652, 128584, 133558, 137400, 140890, 144901, 150329, 155679, 128634, 132895, 139432, 144378, 148209, 152319, 152965, 128652, 134185, 139553, 140953, 145551, 152390, 154262, 129644, 135626, 137744, 144391, 147914, 152235, 155863, 129552, 135626, 140073, 143763, 148380, 150405, 155700, 130451, 132461, 136727, 143885, 146281, 151330, 154215, 131884, 133283, 138594, 140614, 146921, 151434, 156899, 129884, 133262, 137409, 142481, 147730, 149119, 154720, 132253, 136185, 139786, 142180, 145436, 150778, 153784, 131397, 132542, 139789, 141699, 145434, 152630, 154683, 130418, 135865, 136687, 142477, 147093, 149512, 156177, 129813, 135626, 136765, 140761, 145006, 150032, 154470, 131822, 134624, 136772, 141354, 146426, 149591, 153634, 129667, 136297, 139974, 142953, 145691, 150645, 156019, 129813, 132651, 140448, 144006, 148152, 151795, 154513, 132116, 132661, 136926, 143643, 147605, 151909, 156478, 129116, 136161, 139437, 143673, 145695, 150556, 155227, 128634, 132787, 139247, 143697, 147494, 151037, 156902, 129667, 135522, 140316, 143004, 145514, 149446, 156250, 128436, 134088, 138298, 142255, 148509, 150297, 154420, 131884, 133475, 137454, 140605, 148327, 152146, 156607, 129552, 133806, 137866, 142000, 147791, 150669, 156376, 130892, 135861, 138038, 141332, 146315, 149317, 154511, 131397, 132728, 137981, 141666, 147525, 151204, 154158, 131288, 135644, 140352, 142402, 145005, 151431, 153446, 130634, 135895, 137678, 141978, 145763, 152784, 155795, 131652, 136062, 140550, 141793, 147944, 152103, 156859, 132239, 133975, 139109, 144357, 144916, 151904, 155040, 129221, 135517, 137032, 144481, 148274, 150132, 155307, 131197, 133996, 137740, 143702, 147823, 150168, 154950, 131158, 133524, 139880, 142639, 146953, 148901, 155313, 128983, 132549, 138313, 144079, 144825, 152271, 156583, 131283, 134047, 137593, 144333, 146375, 149471, 155046, 128634, 134357, 139994, 144491, 146448, 150408, 154652, 129045, 133407, 138745, 144542, 148313, 150123, 154911, 128652, 136456, 137595, 143749, 145321, 149843, 153268, 128669, 134440, 138237, 143420, 146048, 152162, 153084, 131826, 136190, 139733, 143694, 146965, 150020, 153788, 131039, 133175, 139005, 142996, 147339, 148886, 154931, 129116, 136329, 139608, 142954, 148152, 150947, 153259, 132146, 134857, 140159, 143010, 147791, 152233, 153547, 128969, 135002, 137378, 140721, 145110, 151204, 154984, 132193, 133407, 138746, 144526, 146430, 150192, 156720, 131397, 134811, 136967, 142566, 144745, 152497, 156106, 130321, 135758, 138121, 144077, 148198, 149195, 153537, 131188, 133146, 140212, 144162, 144826, 151322, 153897, 129045, 135291, 137817, 141063, 146665, 152255, 154321, 128436, 132684, 139789, 141435, 145005, 152822, 154900, 128850, 136039, 139947, 140678, 144849, 151237, 153905, 128893, 134669, 137029, 140888, 144695, 149124, 156063, 129667, 135861, 138539, 141537, 147487, 152207, 154079, 128634, 132835, 137856, 142882, 145843, 152075, 155473, 129045, 136362, 138840, 142882, 146813, 152246, 155184, 128945, 134625, 139399, 143336, 146913, 152626, 154230, 131397, 133460, 138891, 141329, 148149, 150905, 154198, 130223, 136046, 138034, 143141, 145695, 149930, 156357, 131397, 136087, 138106, 142130, 145162, 151796, 153751, 130429, 136085, 138051, 141272, 145656, 152647, 156815, 129106, 135034, 139897, 144223, 146031, 150545, 156445, 128956, 133012, 136524, 143087, 145154, 152599, 153523, 130239, 135322, 138904, 142132, 145118, 152719, 152861, 131971, 132611, 140239, 143006, 147823, 148835, 153421, 130178, 135954, 140053, 143420, 146033, 150218, 154768, 130255, 134468, 136970, 143158, 148029, 152525, 153758, 132151, 133391, 136887, 142176, 145758, 149727, 155044, 130285, 133052, 138847, 143085, 148313, 152413, 156373, 129045, 132362, 140299, 142667, 146990, 151023, 156206, 130486, 132691, 138295, 143859, 147599, 152075, 152923, 129813, 135617, 139027, 143138, 147994, 149144, 154632, 128956, 135921, 138119, 141250, 146816, 150784, 155774, 128439, 135706, 138259, 141234, 145045, 151976, 154184, 131826, 136298, 139931, 143912, 145695, 150250, 156401, 130296, 135980, 138205, 142286, 144911, 149610, 156365, 131188, 132520, 139904, 143718, 145183, 150556, 156677, 131447, 135703, 138755, 142170, 145156, 148964, 155909, 129667, 132572, 139136, 142216, 146072, 152275, 155699, 131035, 134007, 138203, 142996, 148086, 148833, 156892, 130598, 134664, 138661, 143393, 148313, 152554, 155666, 128439, 136119, 138644, 141344, 145730, 151469, 155455, 131543, 134468, 139471, 143888, 148618, 150949, 155835, 131160, 134187, 137289, 143501, 145156, 151865, 154694, 129843, 132874, 138210, 142348, 148371, 151886, 155675, 130424, 134138, 140156, 140918, 148381, 148784, 156644, 131633, 134339, 138658, 144184, 148555, 150949, 155524, 129045, 133068, 139125, 141840, 147751, 152181, 155805, 131625, 132769, 139769, 143141, 145434, 150130, 155908, 131738, 134284, 138408, 143429, 145228, 149361, 155633, 129045, 133952, 136593, 143393, 146739, 151451, 155822, 130096, 135115, 137778, 142040, 147403, 151194, 156535, 131397, 136097, 139275, 142741, 146720, 149180, 155300, 129273, 133368, 139763, 144254, 146530, 150513, 155977, 129898, 135828, 137798, 141427, 148667, 151726, 156117, 129933, 132649, 137773, 140841, 147210, 149082, 152989, 129243, 133975, 138835, 141590, 145580, 151224, 156717, 131197, 134651, 140333, 140606, 147684, 150765, 154014, 132151, 133716, 140199, 144534, 145340, 150482, 156583, 130591, 135280, 139889, 144413, 145333, 152777, 152930, 131778, 133685, 140109, 141053, 145687, 151543, 156914, 129738, 133763, 138409, 144641, 145521, 151553, 156325, 130096, 132370, 140530, 143225, 144673, 150136, 153821, 128652, 133946, 137737, 141379, 148617, 151627, 156116, 129045, 133360, 137354, 142703, 148352, 152497, 152897, 129718, 136149, 137789, 143125, 145183, 149391, 156598, 130150, 133268, 137723, 141581, 147914, 152412, 155961, 129667, 132865, 136665, 141044, 147525, 150167, 154906, 128877, 135060, 138461, 142863, 147470, 151613, 153350, 128431, 133506, 138360, 141919, 148214, 150430, 153856, 131250, 133024, 139276, 143623, 147210, 151200, 156860, 131269, 132820, 136960, 142019, 148055, 149799, 154128, 131670, 132687, 138449, 142379, 148352, 152319, 154039, 132253, 132865, 137711, 144549, 147941, 151029, 154737, 131543, 135556, 140187, 141676, 147605, 149453, 154835, 131188, 135503, 137775, 144309, 147054, 152836, 155919, 130247, 135644, 138459, 143019, 148658, 150329, 154411, 129667, 132455, 140436, 141364, 148617, 151881, 155598, 132172, 133206, 137899, 144147, 147953, 149864, 155925, 131778, 135675, 136897, 142480, 144951, 149185, 154283, 131667, 136326, 140270, 141322, 145299, 152292, 153722, 128545, 134775, 138985, 141999, 147290, 150252, 153966, 131652, 135500, 139865, 144496, 146068, 148751, 154676, 132028, 133024, 139378, 140587, 148242, 150721, 155355, 131283, 132512, 137392, 140662, 146335, 148971, 156273, 130998, 136443, 138847, 143682, 145915, 151601, 153205, 130321, 135931, 137203, 141003, 144746, 150694, 156291, 128339, 135544, 139540, 141959, 148303, 152020, 155677, 128557, 132865, 138935, 141419, 145292, 149948, 155693, 129843, 132627, 140545, 141795, 148380, 152818, 155944, 131778, 132988, 140196, 142505, 146813, 149676, 153573, 131397, 133928, 140158, 140928, 148617, 151360, 156745, 132240, 133045, 138610, 143000, 147025, 152021, 153516, 131826, 136329, 139577, 144319, 148617, 148814, 153028, 131778, 136083, 139987, 140952, 147599, 150810, 156358, 129217, 132755, 137826, 142744, 148214, 152741, 155572, 129785, 135858, 138598, 141607, 145277, 150129, 153308, 129185, 134185, 139652, 144082, 144808, 151223, 154910, 131328, 132889, 138185, 143852, 146710, 150337, 155160, 129667, 135071, 137215, 141954, 147525, 150999, 153618, 130486, 132874, 137019, 143475, 144996, 152541, 153763, 129116, 134436, 139598, 142951, 146957, 152328, 153740, 129575, 136455, 137392, 143346, 146710, 152773, 155631, 131274, 135655, 136643, 143081, 145468, 152162, 156712, 129286, 133156, 140126, 141621, 145695, 149396, 156922, 129012, 135682, 140314, 143610, 147316, 152404, 155968, 129667, 135442, 136745, 140587, 145992, 149768, 154570, 129158, 135919, 137053, 140754, 147109, 150539, 156579, 130676, 132895, 137309, 143445, 144864, 150390, 154957, 129667, 134508, 139600, 143786, 147994, 151266, 155984, 130928, 135887, 137137, 141995, 148099, 150733, 153346, 129667, 133239, 137575, 140668, 146728, 151556, 153755, 128414, 132718, 138538, 141710, 146138, 151484, 154658, 131652, 134121, 140239, 141705, 145812, 152056, 155087, 130178, 133745, 138453, 141805, 147673, 152285, 155822, 130255, 135954, 137520, 143281, 148214, 150381, 154509, 128868, 134665, 137740, 142404, 146386, 152195, 155013, 128258, 128262 ]

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

[ 128259, 128000, 79762, 7881, 52152, 97415, 355, 735, 4763, 52152, 115518, 3223, 3862, 122507, 3395, 84, 11257, 63353, 11, 20263, 7462, 17872, 20263, 6, 273, 1611, 109902, 1141, 105058, 109131, 101488, 11, 8563, 57227, 22827, 44700, 278, 6, 38511, 11, 128009, 128260, 128261, 128257, 132151, 135924, 137182, 140963, 145967, 152440, 153002, 128545, 135762, 136887, 144135, 146993, 148930, 156862, 129843, 133389, 138559, 142581, 145078, 151042, 156608, 131543, 135820, 138462, 141323, 145434, 152424, 156580, 131085, 135767, 140425, 143503, 145298, 152690, 156001, 128608, 134805, 137476, 140623, 148536, 149857, 153715, 128584, 133262, 139293, 141735, 144657, 149335, 155392, 129813, 134422, 138558, 144369, 147359, 151905, 155091, 129667, 136073, 137293, 141512, 146514, 152273, 156645, 129846, 133091, 138924, 143624, 146745, 152838, 152985, 131952, 133475, 139274, 142254, 145641, 148942, 156288, 131654, 133891, 139071, 144572, 147783, 150058, 154064, 129667, 133817, 137441, 142458, 145298, 150350, 156716, 128873, 133303, 140023, 143098, 147829, 149254, 156294, 129575, 135800, 137959, 141127, 145695, 152050, 154702, 129496, 136362, 138471, 141467, 148084, 151028, 153208, 129423, 136372, 139995, 140989, 146741, 152232, 155189, 130304, 133985, 136857, 140564, 147675, 150131, 155558, 129718, 135157, 137700, 143917, 145183, 152635, 155550, 131546, 133056, 136988, 140755, 147914, 150417, 154463, 130571, 135358, 139947, 141363, 145298, 150288, 154083, 129813, 133257, 136541, 141875, 147414, 151884, 155211, 129667, 135237, 136968, 142807, 146796, 151766, 152881, 130207, 133045, 137304, 143534, 144658, 151664, 152875, 131223, 133112, 139760, 144594, 146064, 150953, 156365, 129472, 133333, 137183, 141598, 147953, 149054, 155992, 130039, 135071, 140234, 142213, 145949, 150573, 153504, 132253, 132504, 137558, 142604, 147166, 151509, 152981, 129286, 136291, 136918, 140607, 146544, 150734, 155450, 132232, 134150, 137562, 144239, 148628, 151951, 153047, 131447, 133519, 136472, 140569, 146105, 152225, 154163, 129192, 133268, 137666, 142127, 147502, 151888, 153437, 128850, 136161, 139383, 144472, 145897, 151544, 153481, 130124, 135694, 139832, 144360, 147272, 149642, 156238, 130223, 133728, 140133, 140820, 145233, 148942, 155085, 130562, 132520, 137991, 142620, 148673, 148802, 155295, 129575, 132594, 138488, 143844, 147349, 150673, 156796, 130147, 134573, 137063, 144059, 144743, 149858, 154011, 129552, 133993, 138366, 142987, 148192, 149521, 154740, 130147, 132965, 138135, 143411, 148117, 150106, 156061, 128373, 135237, 139975, 142867, 146043, 151450, 156352, 131652, 135500, 136487, 141480, 146409, 150009, 155636, 130912, 135954, 139994, 143369, 144715, 149825, 155493, 130255, 135954, 140271, 143648, 146033, 152225, 156769, 132318, 135385, 138125, 141437, 144825, 148907, 156117, 128983, 134177, 136619, 141689, 148731, 150776, 153271, 128868, 135280, 138828, 142257, 145758, 151116, 155044, 128597, 134159, 137627, 140959, 147228, 150432, 155794, 128699, 136150, 137226, 142577, 148649, 151379, 153812, 131812, 136039, 137552, 142196, 145237, 151196, 156534, 131826, 132369, 137428, 141330, 148585, 152326, 155006, 131188, 133779, 139667, 142145, 145183, 151432, 154314, 130571, 135358, 138508, 141819, 146901, 148946, 153618, 129667, 134811, 139787, 143316, 144939, 151036, 154515, 132253, 134821, 139800, 144552, 147502, 149945, 154643, 131328, 133324, 137962, 144374, 146709, 149486, 153313, 130964, 132865, 139883, 142299, 144972, 152709, 156173, 130486, 133010, 139641, 142214, 145298, 149538, 156174, 128699, 135071, 136658, 142889, 147994, 150648, 155768, 131826, 136064, 139089, 144239, 145436, 150658, 153023, 130911, 132500, 139883, 141547, 146816, 151675, 154295, 131832, 135889, 139587, 143205, 148627, 150215, 156463, 131223, 132784, 137232, 143895, 144680, 149005, 154388, 129221, 135443, 139874, 144356, 148116, 152603, 153795, 128983, 134643, 140237, 142377, 146760, 150569, 153227, 131543, 135379, 137771, 141693, 147502, 151186, 153642, 129575, 133928, 138607, 142699, 148153, 151239, 155738, 131188, 135229, 137169, 144581, 145436, 151942, 155609, 129293, 133663, 138536, 140618, 147596, 148964, 154551, 129738, 134552, 139596, 140823, 146600, 149632, 155170, 129813, 133399, 139072, 143749, 147322, 149987, 156174, 129667, 132666, 137801, 142949, 147646, 149535, 153444, 131321, 135842, 138990, 143010, 148366, 152627, 156719, 131123, 135905, 136472, 140679, 145807, 149121, 154520, 132253, 133435, 138021, 142466, 147635, 150332, 154877, 128877, 134155, 140324, 143970, 148350, 149643, 154756, 128945, 134797, 140339, 144166, 147054, 152614, 153203, 128484, 135229, 137144, 143027, 146912, 150776, 154376, 129552, 136025, 140311, 140779, 147730, 150488, 153132, 131826, 132972, 138034, 142572, 147791, 148869, 156552, 129667, 135311, 138424, 143123, 146461, 151933, 154388, 131505, 134944, 136836, 140697, 147823, 150445, 155265, 131223, 135847, 139293, 141706, 145812, 150531, 154295, 130255, 135862, 139815, 141118, 145275, 151169, 156827, 132318, 135862, 138134, 141437, 148182, 148756, 152852, 128983, 134318, 138125, 140983, 145050, 152576, 155231, 129099, 134916, 139474, 142494, 147771, 150405, 153473, 128439, 133985, 139874, 141985, 146067, 151404, 154539, 129738, 133186, 136864, 142328, 147742, 150898, 155230, 129667, 135988, 138923, 143354, 146777, 151253, 153304, 131858, 132895, 136615, 142809, 147142, 150749, 155055, 129318, 133891, 139752, 140750, 147704, 148904, 154879, 130124, 135343, 139459, 141714, 148153, 150562, 153574, 128741, 132684, 140136, 141824, 147525, 152235, 153892, 130124, 133928, 136536, 143663, 148467, 150188, 156532, 130147, 135125, 138462, 140999, 147525, 151909, 155243, 129667, 133952, 139829, 144522, 148152, 149477, 153772, 130968, 133268, 136604, 142347, 146059, 151869, 154283, 130550, 134278, 139692, 141108, 145517, 151424, 152939, 131933, 132376, 137664, 143387, 145695, 149596, 153563, 131188, 135545, 137918, 141241, 146879, 152326, 154207, 129292, 134107, 140401, 144247, 147746, 152311, 152853, 128850, 133435, 140153, 143557, 145183, 149521, 154980, 129552, 134848, 140223, 144441, 145132, 151251, 154799, 131397, 135071, 136826, 141653, 147771, 149379, 155369, 129286, 136161, 137660, 141419, 147525, 149991, 156718, 129575, 133843, 136526, 143858, 146879, 149103, 156641, 131652, 134185, 136606, 143460, 146171, 149841, 156658, 131223, 135926, 137661, 142007, 145608, 151652, 156085, 132028, 135356, 139370, 140756, 147700, 152103, 154532, 131132, 133745, 140315, 140983, 148212, 152726, 154665, 128258, 128262 ]

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

[ 128259, 128000, 51, 36107, 52152, 296, 6321, 107500, 115849, 94582, 3395, 84, 11257, 63353, 5320, 8215, 857, 6985, 105364, 119931, 22841, 56088, 6729, 13, 128009, 128260, 128261, 128257, 132151, 135924, 138281, 142151, 146334, 152177, 154724, 129982, 134571, 136478, 141162, 145420, 149224, 155298, 130150, 134771, 136616, 144589, 145298, 151047, 156001, 129241, 132874, 136850, 143420, 148646, 151139, 153235, 128667, 134006, 140467, 141670, 145053, 150882, 155703, 129667, 135071, 139069, 143652, 147501, 149538, 155530, 129738, 135504, 139203, 142276, 148335, 152511, 152925, 129735, 133555, 140426, 142215, 145237, 150454, 156809, 128652, 135564, 138594, 143000, 146666, 151014, 156068, 128436, 135675, 136471, 143386, 145516, 151577, 155343, 129048, 134668, 136655, 141632, 148673, 150406, 155985, 130702, 134632, 137343, 140857, 147054, 150231, 154028, 131670, 132708, 138062, 143135, 148632, 151563, 154153, 131434, 133868, 138001, 144012, 147833, 152667, 155549, 131670, 135757, 138853, 141579, 145153, 151675, 155270, 131188, 132844, 139161, 140946, 145183, 152516, 153041, 128850, 132865, 136513, 144432, 147953, 151734, 153646, 130150, 134573, 138370, 142197, 147507, 148761, 152857, 130562, 135904, 137752, 141830, 145861, 151609, 156583, 130147, 133333, 138961, 143845, 147322, 151046, 155237, 129552, 136161, 138493, 142782, 145695, 151179, 154295, 131397, 133272, 138120, 141653, 146674, 152611, 153805, 131222, 135471, 136975, 143979, 145837, 149076, 153160, 128703, 132478, 138237, 143389, 147100, 150269, 152931, 130178, 133975, 139547, 142323, 144728, 152374, 153335, 131283, 135560, 139968, 142420, 146335, 150178, 156672, 132151, 133766, 136619, 143476, 146386, 150259, 154374, 132247, 133567, 139057, 142221, 146375, 149233, 153473, 128439, 133407, 137652, 141311, 148364, 149052, 155565, 129166, 133407, 138027, 142937, 146059, 151606, 155800, 129393, 132644, 137899, 142897, 147849, 152603, 155846, 129106, 134302, 138160, 142321, 146813, 151007, 155531, 129273, 135126, 139577, 144006, 148630, 151889, 154979, 129045, 133125, 138935, 140651, 148352, 150755, 153694, 131826, 132369, 140195, 141609, 148364, 151379, 154163, 128634, 132792, 136555, 141582, 145005, 149948, 156046, 129718, 135865, 137224, 144245, 145308, 150391, 154501, 131397, 132792, 137234, 140790, 146438, 151037, 156071, 129813, 135237, 136658, 141795, 147525, 149329, 155170, 129920, 134455, 138203, 141752, 147827, 149269, 153809, 131397, 134440, 140480, 144260, 147414, 150158, 153683, 129667, 135921, 137189, 142520, 147099, 151110, 156006, 130641, 134379, 136869, 142754, 146249, 152736, 156382, 131532, 133281, 137553, 141298, 145569, 150473, 155097, 131188, 133797, 138046, 144048, 145695, 149115, 154219, 131543, 136445, 140370, 143788, 148632, 152397, 155515, 129045, 134618, 137153, 142574, 147541, 151704, 153960, 129552, 133125, 139660, 142296, 147466, 152552, 153483, 131104, 133433, 138891, 143788, 145213, 151456, 154216, 131880, 133132, 139568, 143109, 146059, 150430, 154509, 131223, 132516, 137608, 142140, 145812, 150971, 153096, 130255, 135862, 137880, 141100, 147295, 150069, 156244, 128258, 128262 ]

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

[ 128259, 128000, 1542, 85, 8747, 105504, 16530, 73389, 569, 276, 105259, 23286, 950, 120057, 469, 3212, 292, 409, 356, 8869, 115290, 11, 45611, 74, 376, 16618, 372, 122372, 111668, 101294, 106527, 15606, 44934, 450, 7792, 293, 1091, 90513, 124861, 13, 39412, 621, 9334, 386, 8458, 105364, 108582, 127113, 7731, 404, 104913, 5320, 24852, 18064, 735, 575, 17137, 569, 276, 43029, 751, 108487, 101934, 125460, 87905, 121858, 30333, 105058, 52465, 116444, 108426, 455, 305, 3988, 113340, 25769, 105878, 94582, 64010, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 130822, 136184, 137418, 142608, 147586, 149631, 154286, 131328, 132649, 139549, 141003, 145298, 151326, 153287, 131826, 133010, 137531, 142916, 147981, 152762, 156022, 128634, 135436, 139589, 142282, 147232, 151785, 155380, 131821, 135747, 137878, 141647, 145153, 152319, 154106, 129667, 135393, 138711, 141795, 145298, 152714, 156852, 131244, 133619, 139790, 142190, 145222, 150490, 154768, 131447, 134908, 137985, 143776, 148152, 150381, 154880, 129738, 134525, 140235, 144097, 148158, 149771, 156917, 130706, 133405, 137269, 142863, 146655, 150269, 156848, 129496, 134951, 137977, 140685, 145153, 150297, 153207, 131543, 133360, 140356, 143826, 147768, 152342, 155760, 131826, 134210, 137803, 140748, 145057, 148802, 154163, 129738, 135237, 138985, 142505, 148361, 150810, 154746, 130829, 135654, 137163, 144090, 145695, 149900, 154972, 132146, 132369, 139481, 140899, 144796, 149866, 156272, 129116, 135126, 139847, 144311, 144657, 149420, 154800, 132127, 134138, 139945, 140928, 145213, 151302, 156391, 130893, 135248, 138973, 141376, 147083, 148856, 156117, 128500, 134084, 140435, 142563, 147502, 149269, 155460, 131397, 133460, 136859, 142461, 145748, 150326, 154656, 129667, 133952, 136541, 141875, 146901, 150926, 154112, 130641, 132865, 140085, 142241, 145703, 150284, 153137, 131543, 135858, 137913, 144010, 145649, 150989, 156933, 131656, 133513, 140437, 143105, 148168, 151288, 156169, 128634, 132897, 140499, 142032, 145695, 149327, 154588, 128819, 135864, 138338, 142489, 146332, 151865, 155077, 129667, 135911, 136646, 142942, 145677, 150913, 156666, 129589, 132874, 140468, 143405, 144792, 151841, 156922, 131188, 134160, 138463, 142592, 147953, 151930, 155611, 131562, 135248, 139260, 143372, 145763, 151510, 154146, 131543, 134665, 136842, 140608, 148181, 150057, 154132, 131188, 132369, 137782, 141199, 146426, 151729, 156661, 132146, 135247, 138462, 142810, 147832, 151796, 156540, 128652, 132889, 139303, 142997, 145695, 152389, 155369, 131188, 133706, 138811, 143218, 147791, 151823, 153431, 130147, 132865, 136572, 143925, 148424, 152114, 153078, 129813, 132492, 137093, 142579, 147525, 149004, 156406, 130336, 133952, 138786, 141795, 147915, 149329, 154083, 128545, 134116, 137548, 141604, 145959, 150491, 155708, 131952, 134805, 137626, 142238, 148116, 149289, 152871, 130912, 132665, 139128, 141940, 145812, 149672, 156789, 129221, 133745, 139071, 144175, 145608, 151473, 154509, 132318, 133524, 138128, 142631, 145348, 149325, 153960, 132151, 135912, 138920, 142454, 146386, 151214, 154410, 132185, 133676, 136741, 141437, 147781, 150670, 153551, 128969, 136397, 138767, 141707, 146505, 151192, 155412, 129589, 133010, 138027, 141619, 148424, 151159, 156910, 129116, 132684, 139360, 141474, 147791, 149327, 156407, 131819, 135180, 138276, 141322, 146949, 149817, 155417, 129116, 132806, 136598, 142016, 144792, 152013, 155219, 129843, 135199, 140349, 142222, 145768, 151973, 153273, 132305, 132949, 140465, 142592, 146993, 151865, 156446, 131810, 135311, 139366, 141504, 145237, 151848, 154500, 130486, 132949, 137303, 143737, 148152, 151330, 155951, 129813, 135511, 139994, 141666, 147255, 150207, 153392, 129667, 135471, 137474, 140952, 146478, 152153, 155673, 131043, 133618, 140235, 142679, 147239, 149924, 153953, 131039, 132895, 139228, 142419, 146801, 152626, 154910, 128634, 133305, 139806, 142546, 146145, 151076, 154962, 132146, 134285, 139553, 144190, 145687, 148904, 155919, 131826, 136073, 138381, 143541, 146824, 150510, 155203, 129735, 132954, 138667, 142915, 147487, 149337, 153634, 129667, 135071, 138397, 144194, 145748, 152511, 153772, 130676, 135864, 136848, 143883, 145516, 150697, 155699, 131171, 135034, 139645, 143479, 147322, 152135, 153723, 130486, 135919, 140530, 143749, 148371, 152431, 153042, 129667, 133998, 138618, 142289, 148099, 152146, 156378, 131931, 135677, 138277, 143348, 148680, 149355, 154678, 132146, 132587, 136547, 140629, 145556, 151322, 152868, 131039, 133303, 137981, 144216, 147926, 151703, 154912, 130223, 135307, 139464, 144117, 144669, 149857, 156769, 131932, 135674, 139748, 141625, 146883, 152259, 153964, 129116, 133746, 137934, 141474, 148045, 148863, 153762, 132146, 134586, 139785, 142203, 148265, 151524, 156543, 130321, 133130, 139543, 142599, 148262, 152374, 155986, 128652, 135442, 138231, 141458, 146503, 151425, 153523, 131421, 134991, 138037, 142975, 145695, 151833, 156932, 129045, 133407, 137491, 143613, 146028, 149547, 155677, 128652, 133688, 137152, 142702, 145177, 152529, 153872, 131114, 132874, 138394, 140918, 144782, 148833, 154821, 131397, 132571, 140315, 141350, 148562, 151978, 153471, 129735, 134951, 137041, 144623, 146663, 151647, 154912, 131028, 133361, 138247, 141786, 146500, 152161, 153973, 129045, 132822, 140261, 143456, 147413, 149232, 154907, 129981, 135896, 140444, 143283, 146104, 152625, 153060, 128652, 135893, 140422, 142095, 145177, 149115, 155510, 129045, 133268, 138181, 142974, 145695, 152464, 156216, 130465, 135414, 136568, 141397, 146638, 151366, 155284, 128289, 133024, 137412, 141940, 146250, 151613, 156378, 132004, 135868, 139052, 141623, 148068, 151336, 153239, 130998, 133103, 138340, 142068, 148354, 149673, 153759, 130255, 133507, 138407, 143911, 145155, 148779, 153384, 131416, 135158, 138213, 141829, 148449, 149701, 156929, 131778, 134499, 140468, 143338, 144972, 149538, 156416, 129738, 133008, 140248, 141846, 144760, 149491, 153159, 130486, 132597, 139366, 141177, 145656, 150367, 155637, 129667, 133148, 137409, 142894, 148238, 149329, 153359, 129813, 133938, 139636, 140922, 146226, 150564, 153437, 129080, 135471, 139966, 142125, 145613, 152753, 153060, 130829, 134054, 140159, 144040, 148229, 149604, 155661, 129667, 133817, 137388, 143941, 148650, 150167, 156218, 129813, 133170, 137878, 141083, 147702, 148947, 155049, 132253, 134635, 136744, 143845, 147682, 150250, 154711, 128439, 136039, 137711, 144006, 146886, 149667, 153504, 128699, 133953, 139340, 143322, 146241, 148980, 155077, 130486, 135864, 138504, 143783, 148380, 151497, 156239, 132098, 132959, 139642, 141180, 148733, 149373, 153551, 129116, 133407, 137615, 143104, 145648, 149295, 156781, 132017, 135757, 139280, 143511, 144871, 149195, 152931, 131447, 136266, 138656, 144055, 145298, 152077, 154593, 131826, 136185, 137129, 144452, 146364, 151620, 154486, 129738, 136274, 139736, 144630, 144704, 150697, 156445, 132146, 134069, 137877, 142043, 147794, 152404, 156442, 128652, 133407, 137830, 141185, 146213, 151779, 153598, 129735, 132666, 140339, 140941, 147239, 151975, 155954, 132193, 135822, 138039, 142570, 147554, 152799, 153090, 131543, 134458, 139530, 140880, 147239, 149991, 152853, 131447, 132488, 137349, 140853, 145647, 150762, 154944, 131188, 134613, 139264, 144005, 145695, 150895, 153998, 132146, 135875, 137152, 144428, 146163, 149093, 154447, 131188, 135442, 137582, 141738, 148364, 149688, 156421, 129667, 135071, 139378, 143439, 148424, 152075, 156542, 131188, 134065, 139334, 143954, 147852, 148934, 154424, 129738, 135147, 137490, 143272, 145153, 152431, 155951, 128439, 133576, 139627, 141629, 145864, 148980, 154867, 130860, 133495, 138027, 144536, 146179, 151733, 153101, 130835, 133537, 136701, 144093, 147808, 152768, 155936, 131044, 133524, 139578, 144392, 146467, 151704, 153170, 128983, 134643, 137947, 141148, 146054, 150628, 153003, 132151, 134393, 140109, 144534, 145572, 149485, 155989, 131543, 133809, 139438, 142095, 148352, 151955, 154836, 129012, 133587, 136555, 141409, 147356, 149883, 155045, 129496, 136009, 138438, 143890, 148658, 151063, 155174, 131543, 134712, 138038, 140782, 145434, 151458, 153027, 132173, 135214, 139034, 142966, 144657, 151969, 153431, 128634, 134160, 140526, 141732, 144994, 151156, 153178, 128969, 135156, 136833, 142878, 147730, 152755, 154380, 131636, 133268, 140474, 140922, 147317, 149167, 153607, 131397, 133544, 138511, 142134, 146364, 149375, 154918, 132193, 134648, 136663, 141866, 145247, 149159, 156300, 129045, 134485, 139540, 142512, 145748, 150152, 154583, 131543, 134712, 137125, 143646, 148084, 149375, 156666, 131397, 136149, 139095, 144016, 146806, 151152, 154993, 131543, 135442, 137709, 142527, 145057, 151458, 153804, 129738, 132949, 139091, 143783, 147359, 150648, 153812, 131778, 133010, 137276, 141524, 145687, 152794, 155516, 129735, 136216, 136906, 143832, 144921, 148974, 152857, 131530, 135809, 136543, 142362, 145418, 150554, 153469, 130223, 134728, 139019, 143036, 145695, 151993, 153027, 130550, 133932, 139667, 141995, 147861, 151972, 154425, 128969, 136226, 140260, 142842, 147261, 148761, 155379, 131104, 135911, 137764, 143056, 146553, 149832, 154817, 131397, 132619, 139393, 144162, 147730, 152234, 156173, 131188, 134012, 139181, 142968, 146454, 151131, 152977, 129667, 135010, 140393, 144489, 147702, 150015, 155411, 129735, 134552, 139309, 143405, 147485, 150225, 154095, 131543, 135621, 139165, 140855, 145926, 150065, 156621, 131188, 132660, 139873, 143971, 147166, 151299, 154588, 131134, 136012, 137023, 141866, 145843, 151892, 156822, 131543, 134076, 137726, 144015, 147435, 151296, 155531, 128402, 135060, 140141, 142518, 148742, 150774, 153162, 131188, 136097, 139980, 143495, 147454, 152806, 154318, 131397, 135689, 139071, 141363, 145153, 151589, 155768, 131826, 133952, 139645, 144341, 148093, 149072, 154867, 131860, 134065, 136550, 141653, 147887, 149944, 155014, 132193, 135284, 137989, 143311, 147029, 152027, 155954, 129735, 133399, 139866, 142520, 145687, 152477, 155211, 131543, 133146, 136652, 141516, 147751, 148783, 156505, 131036, 132557, 138775, 141805, 145763, 152605, 155489, 131543, 132684, 140127, 141271, 145434, 151114, 154346, 129045, 133146, 136938, 144097, 148247, 152785, 154707, 129286, 135934, 137037, 142758, 147791, 150192, 153243, 129736, 135199, 137371, 140782, 147349, 152264, 155371, 131530, 135458, 139847, 143090, 148274, 149436, 154474, 129045, 132894, 138713, 142610, 147762, 151246, 153057, 129552, 132376, 140462, 144558, 145895, 150402, 156629, 132176, 135419, 138238, 141989, 148296, 152265, 156699, 130881, 134413, 137848, 144238, 148152, 149429, 154116, 128652, 133324, 138872, 143446, 144988, 152590, 154208, 128812, 136136, 139185, 140842, 148313, 150510, 153059, 129735, 132835, 138424, 141570, 146600, 151074, 155699, 129286, 135214, 140003, 140705, 147747, 151924, 156065, 131188, 135564, 139585, 141824, 146840, 150436, 153435, 132253, 134525, 138133, 143004, 148380, 150777, 156193, 131543, 135500, 137312, 141188, 146813, 152511, 155699, 129735, 133555, 140506, 143785, 148262, 150677, 155239, 129813, 133952, 140409, 142634, 148147, 149909, 156655, 129736, 133460, 138971, 141966, 145168, 149592, 156510, 131530, 133903, 138474, 142298, 145776, 151542, 154335, 131397, 133468, 139866, 141962, 148084, 152714, 156901, 131543, 132792, 138278, 141076, 147099, 152532, 154490, 130847, 132865, 137961, 143502, 147029, 152120, 155211, 131397, 135511, 136954, 144360, 148084, 150703, 155868, 131188, 132506, 137231, 143489, 147925, 151888, 154509, 128578, 135790, 137331, 141786, 148742, 151703, 153877, 130223, 132895, 139813, 143374, 145162, 148919, 153483, 131667, 133077, 137687, 144223, 148650, 150322, 154486, 131778, 135147, 137841, 141928, 146815, 150546, 153973, 130223, 135432, 139469, 141707, 145237, 149363, 156788, 128877, 136046, 139650, 142757, 146573, 151473, 155687, 132343, 135862, 139806, 144280, 146802, 152282, 153157, 131172, 135803, 140329, 141470, 148068, 149662, 155759, 132247, 134788, 140367, 141849, 147076, 150456, 154697, 128258, 128262 ]

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

[ 128259, 128000, 89167, 587, 665, 101813, 305, 10002, 3862, 18578, 1216, 42961, 8334, 16287, 3862, 11, 2751, 1609, 4960, 69, 747, 11, 4538, 112023, 34634, 579, 5320, 9964, 127733, 15606, 109131, 11, 113417, 121791, 15606, 15395, 24004, 258, 658, 16530, 108912, 57398, 4802, 89, 38988, 5014, 72, 104383, 33054, 437, 8733, 101844, 103795, 93171, 258, 52465, 59317, 453, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 133318, 136613, 140709, 147076, 150314, 154374, 128435, 136166, 137182, 142475, 148658, 151350, 155107, 129738, 136274, 139027, 143666, 147525, 150907, 156620, 129813, 133199, 139146, 143000, 147390, 151048, 156777, 132253, 132874, 139130, 141537, 146881, 151829, 156860, 130641, 133229, 140315, 142205, 145153, 149924, 153788, 132265, 134811, 138120, 143749, 148199, 152511, 154808, 128812, 135817, 139228, 141630, 146912, 150524, 154504, 131188, 132895, 136808, 142760, 144657, 151973, 156063, 131397, 133928, 139992, 140754, 146171, 150484, 153903, 131709, 133091, 138474, 142975, 147953, 150271, 154567, 131397, 134712, 137699, 143292, 146216, 150531, 156658, 128543, 134737, 139165, 144565, 144905, 149455, 154505, 129045, 136046, 140030, 142136, 146216, 149722, 155165, 132146, 134306, 140347, 142282, 145120, 150693, 156396, 131039, 133913, 140148, 144077, 146281, 149898, 156720, 129116, 132369, 137525, 140857, 145695, 149813, 153942, 130773, 135197, 137870, 144427, 147791, 149778, 155185, 129116, 132369, 138842, 140868, 147724, 151742, 155307, 130095, 135416, 137619, 143008, 148585, 150064, 154543, 129736, 135034, 137919, 141978, 146886, 152438, 155356, 132201, 134951, 137904, 141338, 146796, 149197, 154345, 128636, 132989, 136792, 140566, 147700, 149195, 153538, 129813, 134168, 140426, 144522, 145365, 151111, 153005, 129667, 132454, 138415, 142000, 147359, 152633, 156210, 129166, 134586, 137307, 142320, 146787, 150390, 155374, 131397, 132376, 137145, 143862, 148276, 149918, 153397, 129045, 132728, 137557, 144013, 145875, 150547, 155634, 130124, 135503, 137897, 140813, 146172, 150659, 154410, 131187, 132996, 136808, 144302, 145947, 151282, 155855, 131397, 135237, 140324, 140783, 146094, 149486, 154504, 131530, 134226, 139142, 141737, 147500, 151307, 153664, 128634, 132565, 139453, 142123, 146710, 152834, 156782, 131543, 134661, 137243, 140719, 148206, 151840, 153760, 128557, 133475, 140179, 141749, 147000, 151637, 154550, 131188, 136274, 139832, 142875, 145436, 149377, 154210, 131680, 134198, 138167, 142130, 145727, 148786, 153176, 129124, 136230, 139672, 142632, 145923, 152143, 154818, 128969, 135170, 140361, 141783, 148424, 149442, 153043, 128634, 136064, 139600, 141642, 148352, 149650, 156679, 131244, 134422, 136593, 143847, 147461, 151652, 155177, 129017, 136325, 138237, 141427, 147198, 151613, 156188, 131964, 133018, 136547, 142099, 147605, 152027, 155891, 129124, 136144, 138034, 143572, 148135, 149506, 156038, 131652, 134101, 136681, 144576, 145615, 151501, 156800, 129981, 132807, 136657, 143589, 146695, 149038, 156431, 132193, 132407, 137920, 143546, 148270, 151007, 153989, 131222, 136190, 136938, 143571, 148183, 150693, 156333, 130124, 135197, 140506, 143905, 145413, 152394, 155866, 131188, 135626, 140274, 143592, 144971, 152310, 153358, 129813, 132504, 137732, 143343, 147702, 151795, 154611, 131039, 132481, 136618, 143222, 147791, 152077, 156116, 129667, 134276, 136967, 143420, 148453, 152714, 153890, 131188, 134138, 140323, 140764, 145434, 149099, 156596, 131453, 134712, 139570, 141840, 147509, 151858, 156253, 131397, 132542, 140334, 143243, 146188, 152046, 156900, 128969, 135665, 136564, 143203, 147730, 149093, 153404, 129045, 136076, 138049, 143847, 148352, 151085, 155475, 131543, 136257, 138781, 142977, 146340, 151501, 155138, 129045, 136149, 139181, 144432, 148352, 150179, 154667, 131543, 135253, 140410, 141748, 145825, 152192, 153335, 128663, 132750, 139175, 144335, 147040, 148968, 155227, 131397, 134612, 137210, 144543, 147792, 152238, 154938, 129423, 134312, 139687, 143388, 147091, 150225, 154741, 128828, 136362, 140115, 141793, 148274, 151562, 156251, 131800, 132967, 136775, 140889, 148226, 150199, 155185, 132146, 134160, 136717, 143492, 144657, 151042, 156263, 129935, 133520, 137104, 142130, 145812, 152261, 155189, 128969, 134631, 138798, 140897, 144741, 150750, 156215, 131543, 136144, 138528, 143662, 147730, 151337, 156750, 131014, 133460, 137703, 141417, 148580, 149028, 155284, 128285, 132836, 136774, 143890, 148731, 151339, 154724, 132151, 135280, 138660, 142824, 146386, 150240, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 131529, 133318, 138026, 140709, 145964, 150041, 155108, 128812, 133279, 138706, 144098, 145846, 150091, 156180, 129667, 133368, 136975, 141413, 146993, 152198, 156797, 131000, 135870, 139289, 142197, 145671, 150102, 155097, 129286, 134821, 140467, 142690, 145114, 149836, 154799, 129667, 135675, 137903, 144239, 146286, 151388, 155727, 128545, 134343, 137856, 143133, 145520, 151291, 153837, 129070, 132891, 136907, 142622, 146741, 152739, 153635, 128969, 136050, 138812, 141137, 144745, 148975, 156169, 129045, 135626, 138748, 143099, 148175, 150035, 155097, 129973, 132416, 140279, 144384, 147444, 151544, 153990, 130321, 135377, 139646, 143050, 147414, 149426, 153514, 128634, 133056, 140513, 143704, 144745, 152826, 153911, 130321, 135633, 140223, 141622, 148265, 149610, 155045, 130641, 136046, 139880, 143346, 145153, 150399, 155426, 131286, 133558, 137552, 142919, 145907, 152350, 153504, 130486, 135811, 136495, 140754, 147093, 151929, 154411, 130207, 136251, 137906, 141302, 146179, 151671, 156000, 132146, 136318, 136724, 144503, 147953, 150335, 154778, 130854, 133360, 137830, 141885, 147702, 150847, 156371, 128634, 135300, 139501, 144535, 147370, 150263, 154196, 131656, 135984, 139982, 143735, 146568, 149514, 156935, 129289, 132416, 138690, 142951, 145546, 151466, 156525, 129286, 135010, 139187, 143574, 147525, 152529, 154346, 131563, 133135, 136790, 141118, 146853, 150827, 156253, 128850, 133460, 138888, 142118, 146392, 150904, 153330, 130289, 135763, 137857, 141589, 145352, 149355, 156884, 130847, 136370, 139695, 140970, 145843, 149162, 153124, 131397, 133196, 137050, 144484, 145365, 148785, 154573, 129735, 136370, 137559, 143925, 145237, 151074, 153240, 129667, 133474, 138467, 141936, 147001, 150144, 155475, 129575, 134713, 138203, 142373, 147965, 152273, 154846, 131652, 135833, 140316, 143407, 147846, 152548, 156769, 131044, 136408, 138658, 141100, 148596, 152027, 155677, 131223, 134582, 138656, 144358, 144683, 150215, 154919, 131413, 134370, 136727, 140841, 147812, 151714, 154356, 129700, 133991, 139889, 143336, 148589, 150981, 154778, 129667, 135199, 137338, 144341, 147099, 149329, 153770, 129813, 133447, 138252, 140771, 148327, 151464, 154819, 131397, 132874, 140223, 143405, 146281, 152714, 154334, 130296, 136454, 139491, 140714, 145218, 151660, 156317, 129876, 135606, 138910, 143809, 146211, 151106, 154304, 131421, 136403, 138193, 142882, 145183, 152077, 156577, 128634, 134160, 138835, 144147, 145177, 152748, 154093, 132232, 135439, 139981, 143511, 147624, 151703, 153712, 129718, 136136, 140196, 143716, 145878, 151680, 153706, 132116, 136253, 139415, 142286, 147624, 149145, 156579, 129667, 133817, 138411, 142836, 147099, 151315, 155750, 129096, 135926, 137774, 140989, 144823, 149063, 156649, 131397, 132684, 140189, 142586, 148282, 151951, 156662, 132116, 135138, 140451, 144547, 145122, 152732, 156677, 129667, 135061, 138554, 141795, 147239, 151362, 152925, 131397, 134525, 136501, 143990, 148352, 151495, 156258, 131543, 134587, 138941, 140753, 148449, 150311, 154148, 131238, 132457, 137639, 142937, 148377, 151142, 154134, 131543, 135566, 139426, 143808, 145114, 152464, 155524, 131188, 135034, 137636, 141473, 144669, 149932, 153514, 130223, 135921, 139026, 141621, 144657, 150682, 154332, 130641, 134586, 140465, 141180, 144783, 150132, 156447, 129667, 132684, 137400, 143362, 148152, 151374, 153042, 131244, 132517, 139059, 143299, 146342, 151703, 154040, 131543, 134479, 138651, 141385, 147730, 151330, 152891, 129735, 134210, 137451, 143405, 145365, 151141, 155782, 132014, 133928, 140327, 142216, 148204, 152419, 154490, 129813, 133700, 139019, 144447, 148449, 150167, 154799, 129667, 134012, 139378, 144134, 148453, 152714, 155767, 131188, 135904, 136894, 140923, 145434, 149054, 154519, 131397, 133399, 139799, 141795, 144863, 149519, 154418, 130223, 132520, 136709, 143849, 145695, 152261, 153788, 131397, 133952, 139426, 144069, 145856, 148825, 155925, 129667, 132911, 137222, 141939, 148700, 151366, 152857, 131860, 135128, 136618, 142591, 148204, 149317, 156818, 132240, 132826, 136583, 144455, 147059, 150129, 153065, 131417, 136062, 137855, 141444, 147610, 149897, 154425, 128275, 134618, 139026, 144475, 145812, 152494, 153200, 132028, 135954, 137911, 140945, 144752, 152364, 154295, 128868, 135385, 137740, 141719, 146386, 149143, 156802, 128258, 128262 ]

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

[ 128259, 128000, 105812, 122058, 8261, 48980, 16507, 109488, 21270, 3344, 3258, 104383, 108967, 116662, 103314, 110143, 13, 62463, 19586, 102550, 116934, 109710, 31285, 76, 36624, 110403, 103137, 9736, 102430, 41390, 120800, 102154, 124973, 58112, 104716, 101210, 8941, 9700, 36255, 15606, 28074, 78410, 81101, 13080, 47492, 59317, 127033, 1736, 264, 10784, 3862, 2329, 276, 14937, 261, 105058, 110318, 103683, 297, 9964, 127733, 21889, 2448, 301, 5320, 1048, 18638, 564, 2159, 462, 88, 587, 103838, 121277, 119810, 336, 301, 121875, 118167, 13, 106351, 1048, 7515, 575, 104333, 38511, 1938, 438, 3862, 6634, 75437, 104418, 108248, 110454, 103838, 98410, 114461, 1764, 112072, 2448, 2438, 116662, 49621, 16461, 117426, 118847, 20693, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 128868, 133716, 138025, 141428, 147452, 152080, 154776, 130589, 133324, 137191, 143105, 145704, 149317, 156139, 129738, 134328, 136804, 144024, 146036, 152071, 153357, 129070, 132682, 139080, 144101, 148078, 149734, 155368, 129735, 134048, 138662, 141621, 148085, 149932, 153477, 131778, 134013, 138500, 143428, 146894, 151855, 156322, 129738, 132869, 139231, 144279, 146990, 150971, 155410, 131397, 134606, 138409, 142055, 147016, 149692, 154574, 129045, 134728, 139959, 143812, 145740, 151420, 155798, 129667, 134705, 139173, 143564, 148453, 148946, 156254, 129423, 134004, 138248, 143187, 146461, 152531, 156888, 129286, 132988, 139147, 142321, 148437, 152795, 154263, 129981, 134007, 139181, 142597, 145045, 151397, 154310, 131821, 132975, 140279, 142271, 145695, 149832, 156720, 132173, 135921, 138359, 143348, 145805, 150827, 156625, 131778, 135358, 138175, 141265, 147525, 151929, 155344, 131826, 132865, 136633, 140788, 145321, 150577, 156847, 129718, 134422, 136825, 144151, 145794, 152541, 155244, 128634, 133704, 139874, 140872, 148289, 148929, 154855, 129667, 135864, 137158, 143420, 147414, 150255, 153962, 129813, 132865, 139687, 142467, 145260, 152209, 156918, 129667, 133952, 138853, 141978, 148691, 152701, 154756, 129735, 132440, 137817, 141621, 147525, 150177, 154263, 129286, 135503, 140548, 144169, 148595, 150682, 153043, 130223, 133594, 137338, 142334, 146861, 149145, 155074, 129286, 133305, 138462, 144388, 144745, 152511, 153036, 129667, 135071, 138329, 144285, 148697, 150771, 154273, 129286, 135884, 136710, 140935, 145965, 151930, 153727, 130635, 136058, 138474, 143878, 146443, 150950, 156483, 131397, 135102, 136664, 141185, 146240, 148955, 156796, 131188, 133407, 138566, 143965, 148447, 152394, 156265, 130223, 133125, 136855, 144069, 145413, 149079, 153620, 131447, 134390, 137043, 143079, 145006, 150280, 155016, 129308, 134319, 137817, 142224, 145794, 152749, 154768, 132135, 134812, 140031, 142130, 146925, 148779, 156699, 131541, 135798, 139552, 140813, 147835, 151757, 154421, 128969, 134871, 137332, 142611, 148192, 151841, 155506, 129116, 133779, 138496, 141410, 147761, 150932, 152968, 131447, 135748, 138651, 142570, 144664, 149720, 153953, 129045, 135626, 137515, 144346, 147994, 151498, 154687, 128969, 132889, 136563, 143949, 145695, 148753, 156145, 132173, 133524, 140388, 142609, 146779, 149944, 154544, 129045, 136076, 140437, 140778, 147435, 152696, 156029, 129738, 134267, 139146, 144623, 145998, 151035, 154912, 128592, 135807, 139619, 142045, 146673, 148988, 156586, 129286, 135893, 136491, 141183, 146220, 151091, 152940, 131397, 134242, 137435, 143464, 148050, 150915, 154237, 129286, 135904, 140248, 140773, 146216, 151260, 156376, 129813, 132972, 139992, 143671, 145612, 151798, 154846, 128564, 133399, 138276, 141653, 146281, 150318, 152939, 131447, 135461, 136873, 142354, 144890, 149631, 154869, 131543, 135796, 139291, 143666, 145153, 151464, 154587, 132193, 134822, 138393, 140761, 145717, 150144, 155771, 131505, 135961, 137752, 140697, 148343, 151407, 153877, 131223, 132665, 140460, 141590, 144804, 152768, 153472, 131447, 133190, 137894, 142269, 145695, 151549, 155981, 129667, 134951, 140099, 142467, 145695, 149341, 155708, 131188, 135442, 136826, 144279, 147166, 150515, 156212, 129667, 135414, 139834, 144413, 144792, 152649, 154288, 129735, 133517, 137557, 141195, 147359, 152328, 155228, 129552, 134138, 137955, 140952, 147628, 149161, 153040, 131447, 133805, 138528, 141012, 145153, 152795, 153953, 131826, 134677, 139622, 143474, 145162, 150177, 154093, 129017, 135009, 139339, 142533, 148201, 149044, 152952, 130998, 132646, 137593, 143016, 145606, 149074, 155012, 132151, 134971, 139490, 142309, 145679, 149175, 154328, 130758, 133295, 137532, 142878, 145494, 149619, 155124, 128634, 136136, 139222, 141914, 147414, 151085, 153694, 129738, 135351, 136868, 142585, 145656, 152319, 153357, 131826, 132369, 137977, 140754, 146813, 150016, 154938, 130368, 134671, 139280, 143085, 145793, 152269, 153867, 129273, 134076, 138971, 141808, 148650, 151603, 154746, 131397, 132684, 136754, 142819, 147239, 152630, 154145, 130124, 133742, 139950, 142282, 145182, 148901, 154663, 130928, 135495, 138038, 140754, 145503, 148874, 154066, 129735, 132717, 140223, 143832, 147239, 150971, 154787, 129575, 133910, 137261, 142854, 144662, 151422, 156180, 131543, 135442, 139238, 141681, 146426, 152141, 156499, 131397, 135274, 139666, 143462, 145153, 148946, 153042, 131826, 133407, 140283, 141346, 147440, 150564, 156701, 128634, 135074, 137380, 144635, 145556, 149577, 154026, 131039, 133623, 139080, 143706, 148456, 150816, 154074, 129667, 133235, 138214, 144621, 146105, 150842, 153210, 128564, 136161, 139255, 141954, 147228, 152486, 154768, 131188, 136161, 139770, 140946, 145695, 152436, 155801, 129399, 133148, 139261, 144481, 146756, 149539, 152928, 128969, 132932, 136616, 141458, 147414, 152352, 153051, 130079, 134651, 138555, 141940, 146249, 149167, 154372, 128761, 132816, 139616, 142362, 147848, 148968, 153984, 128606, 132641, 139869, 141517, 145299, 152629, 155371, 128873, 133405, 140498, 142502, 146573, 150062, 153586, 131543, 132820, 139558, 140750, 147762, 148945, 153027, 131188, 133407, 140336, 144642, 146448, 152834, 156847, 130223, 132457, 136911, 142320, 146340, 150398, 153586, 131188, 134951, 138588, 142819, 148350, 150550, 156677, 132146, 133961, 137319, 140664, 148334, 151828, 156725, 132193, 134631, 136779, 144553, 146304, 152311, 156334, 129667, 136370, 138360, 143123, 148595, 152149, 155170, 130968, 133399, 136658, 142919, 148327, 149407, 153005, 131035, 135205, 137578, 141414, 144819, 151272, 156357, 131397, 135295, 136717, 142134, 146364, 150810, 155531, 130429, 133399, 136652, 140754, 145556, 149686, 153325, 128652, 133933, 137523, 143992, 144808, 149887, 155723, 130641, 133045, 138830, 144528, 147406, 150015, 156716, 129667, 135626, 140543, 142493, 147136, 149114, 154250, 131188, 135118, 140539, 141823, 146666, 152004, 155491, 131530, 132889, 137992, 143610, 145613, 150816, 155799, 131860, 133714, 139944, 143800, 146840, 150819, 153871, 128557, 135463, 137307, 143421, 146957, 150154, 156409, 130168, 133891, 137037, 141452, 147838, 152603, 155838, 129667, 135588, 137047, 141189, 145212, 152533, 156620, 128634, 135328, 138846, 140754, 147029, 148746, 154743, 130641, 132889, 139600, 143445, 144734, 150194, 155366, 129756, 135497, 136509, 140772, 144704, 152749, 156172, 130928, 133993, 139973, 141666, 148449, 151111, 154855, 131188, 133566, 137555, 141728, 145687, 152735, 156756, 129667, 133801, 139169, 142099, 147029, 151132, 154149, 131667, 132457, 138107, 143020, 148562, 149491, 153100, 129496, 135655, 140445, 142984, 145250, 149519, 156131, 128312, 135886, 139709, 142622, 145168, 152232, 153706, 131188, 134388, 137740, 142684, 148152, 149255, 156679, 128812, 133635, 138463, 142230, 146853, 150360, 153763, 129667, 136297, 138808, 143954, 147359, 152446, 155207, 129813, 136257, 140190, 143657, 146546, 150591, 155216, 129286, 134422, 137891, 143076, 147751, 149924, 153864, 130164, 135071, 139145, 141146, 148632, 152438, 156903, 129496, 133582, 136545, 143814, 146813, 152209, 153240, 130128, 136330, 136957, 143672, 145505, 150611, 154420, 128956, 132982, 138190, 140975, 144664, 152162, 152973, 129667, 133011, 138100, 142135, 147414, 152477, 154437, 131397, 135300, 139808, 143895, 147435, 150800, 154423, 129496, 133139, 139414, 140832, 145687, 152624, 154755, 128373, 132975, 140534, 142158, 146426, 149716, 155910, 129496, 136425, 138647, 142087, 146813, 150526, 154242, 129735, 134949, 140011, 141234, 147658, 149293, 155046, 128402, 135642, 137432, 144055, 147865, 149978, 156458, 128956, 133946, 137718, 144134, 146362, 150167, 155570, 128439, 135414, 140149, 144623, 147759, 150842, 153258, 131397, 133407, 138853, 141643, 148455, 150792, 156005, 130641, 135974, 139638, 144601, 144657, 148759, 155715, 132232, 134498, 137277, 143511, 146864, 151703, 154304, 131188, 134388, 139751, 140704, 144657, 151955, 155911, 129667, 135261, 137879, 144076, 148424, 149053, 156428, 131188, 132402, 138207, 144536, 146923, 150857, 153548, 132146, 135626, 139107, 141332, 145825, 148809, 155682, 132098, 135947, 136758, 140664, 148407, 148904, 154621, 128436, 132949, 138175, 141435, 146945, 151997, 156900, 131292, 133506, 137978, 140577, 147921, 150035, 154591, 130336, 136039, 137856, 144083, 147707, 152511, 153523, 130670, 133546, 139027, 140883, 144666, 151373, 155656, 131798, 135497, 140459, 143234, 145702, 150917, 155205, 129080, 133063, 136831, 142567, 148172, 148946, 153028, 130244, 133399, 139687, 141346, 145057, 148953, 155517, 128545, 133474, 136824, 142175, 144715, 150976, 153781, 128592, 133580, 138345, 141589, 145279, 149814, 153346, 128652, 136397, 137814, 144076, 148334, 149364, 155070, 129718, 132622, 139349, 144576, 146068, 150530, 154919, 131743, 133252, 138896, 142809, 146666, 148968, 153547, 131397, 133952, 139600, 142677, 146240, 152836, 154851, 128557, 136161, 137490, 140748, 148313, 152511, 156534, 128545, 134773, 137120, 143362, 148630, 152049, 153454, 129022, 134126, 137003, 141099, 148714, 152126, 153629, 132103, 132895, 138824, 140796, 144781, 151967, 154825, 128983, 134472, 139239, 142436, 148212, 152540, 154674, 130334, 134971, 138026, 140709, 146386, 152168, 156264, 132151, 134098, 137990, 142284, 145641, 150482, 153259, 128956, 133762, 139882, 143099, 148449, 149595, 156666, 129843, 132684, 138588, 141678, 145695, 151597, 156657, 131328, 136064, 139252, 144296, 148352, 150417, 153939, 131188, 132865, 137400, 141292, 144657, 152370, 156144, 129504, 132677, 139089, 141940, 146707, 149061, 155537, 131884, 135358, 137044, 143136, 146886, 150424, 153618, 130147, 135034, 138783, 141330, 146791, 150955, 155033, 131447, 135922, 140324, 142562, 148350, 152732, 153038, 129472, 135665, 138665, 144559, 146594, 149737, 155255, 129273, 135894, 138569, 144231, 145365, 151188, 154479, 131667, 135873, 139876, 142431, 145299, 150170, 156152, 131536, 135954, 138923, 142015, 147890, 149647, 155490, 129667, 133399, 137388, 140769, 147099, 152437, 156037, 129843, 135546, 139165, 142972, 147658, 151473, 153516, 128634, 132757, 137129, 142586, 145695, 151952, 153629, 130673, 133125, 139717, 141591, 146813, 149289, 155206, 131709, 132598, 137074, 142775, 146033, 151368, 153273, 131341, 133362, 140141, 141426, 147093, 151343, 153783, 128969, 132369, 138237, 141647, 146382, 152574, 156670, 129811, 135138, 140451, 141709, 147526, 151835, 153505, 129552, 133597, 136473, 142333, 145153, 152133, 156888, 128564, 133033, 140245, 144006, 148152, 152238, 156888, 131188, 132402, 139334, 144282, 148106, 151424, 155131, 132146, 132874, 138820, 144526, 145825, 149452, 155581, 128969, 133556, 138322, 141003, 147099, 149680, 153513, 129667, 132515, 137178, 142743, 145551, 149729, 156294, 131401, 132478, 139250, 142798, 148235, 149565, 154405, 131543, 135421, 137934, 144482, 146288, 150541, 155048, 129667, 132376, 137655, 143168, 147525, 152198, 154163, 128439, 135147, 136892, 142740, 144900, 152733, 154955, 129048, 135343, 139684, 141406, 147370, 151158, 155305, 128652, 132865, 140538, 141143, 147416, 152433, 153233, 129876, 134914, 137203, 140772, 147214, 150949, 152852, 128969, 135592, 139951, 141870, 145695, 149417, 156231, 132232, 134771, 139619, 144055, 147554, 149978, 154040, 128652, 132520, 139558, 143222, 146422, 151579, 153278, 128969, 134275, 139471, 143615, 148650, 148835, 155659, 130223, 133033, 136472, 143863, 147628, 151122, 156745, 132173, 135920, 137899, 142609, 147145, 152294, 154897, 130321, 133441, 140451, 140855, 145169, 150338, 155129, 131341, 133206, 139126, 141503, 146197, 150316, 156860, 131652, 133907, 139260, 143969, 146284, 151423, 152970, 131223, 133524, 138578, 142383, 145812, 150524, 154295, 129221, 134618, 136669, 142681, 147219, 152732, 155189, 129610, 135443, 139469, 142937, 146476, 151066, 156904, 129667, 134473, 137037, 143554, 148489, 149415, 154163, 130751, 134960, 138262, 143319, 148324, 151081, 156718, 129045, 132696, 140156, 143565, 145110, 152673, 153319, 131884, 133700, 139547, 142866, 148707, 150205, 152942, 128439, 132376, 139252, 142158, 148199, 151316, 156769, 130124, 136382, 139801, 141573, 145376, 149420, 154477, 129292, 132494, 139518, 144411, 148264, 150819, 153584, 129045, 134187, 137032, 143656, 144826, 150836, 155209, 129106, 134552, 140331, 144066, 145943, 149786, 153504, 129738, 132514, 140421, 141857, 145398, 151464, 156918, 130147, 132865, 139941, 141952, 147953, 149999, 156573, 129552, 132708, 138504, 143783, 146813, 151614, 156731, 128945, 136225, 136872, 143895, 148716, 151964, 153651, 131188, 133146, 140149, 143187, 144996, 152836, 152846, 129667, 135147, 138360, 142105, 146240, 149676, 154918, 131188, 135921, 138222, 141939, 148504, 152731, 156173, 128956, 133407, 138318, 143773, 148437, 152044, 156314, 131288, 136118, 138659, 141094, 146746, 149145, 155395, 128945, 135229, 138279, 141926, 147730, 151944, 155002, 130223, 134052, 137367, 142878, 145177, 148833, 154765, 129667, 133056, 139665, 141225, 147646, 148838, 152925, 129813, 135627, 136541, 144367, 145756, 152477, 155816, 128652, 135503, 140405, 144556, 145695, 150547, 153393, 128634, 135126, 136634, 141591, 146358, 149469, 156490, 130321, 132458, 137841, 143511, 145828, 150949, 156926, 131188, 135503, 138797, 142145, 147788, 151239, 154625, 129667, 133407, 137934, 144127, 146067, 151268, 156072, 131738, 133535, 136914, 143648, 147210, 149514, 153760, 129045, 133468, 138236, 140901, 145445, 151888, 155597, 130321, 135282, 140451, 140997, 148274, 151595, 155042, 129667, 132513, 140261, 143537, 148449, 149834, 155700, 131188, 134878, 140037, 142684, 146426, 151955, 153332, 128557, 134951, 139924, 142363, 145748, 150610, 154318, 131543, 133287, 136779, 144336, 145946, 149514, 155393, 129718, 134138, 139585, 141913, 146653, 148894, 152877, 131397, 135109, 136857, 141866, 147136, 151806, 154656, 129843, 135347, 139687, 142650, 147502, 150882, 153437, 131188, 135503, 136675, 144432, 147791, 152039, 154834, 129045, 133587, 140256, 141674, 146764, 149783, 156370, 131543, 135947, 137177, 141846, 146448, 150823, 153626, 131397, 134150, 138381, 141953, 146988, 149931, 153904, 128945, 136054, 138031, 140923, 146739, 150158, 154639, 130147, 136161, 136988, 141549, 145556, 149832, 154743, 129667, 133468, 138462, 143421, 147359, 152766, 153240, 129813, 134552, 139412, 142468, 145832, 151115, 156071, 129667, 134968, 140292, 143979, 145365, 151111, 155936, 131397, 136169, 140184, 143247, 144865, 152642, 153277, 128484, 135904, 138929, 142782, 144664, 152079, 153941, 129552, 134138, 137897, 143397, 147136, 152714, 153671, 129813, 135480, 137845, 141913, 146664, 150878, 154821, 128652, 134301, 137367, 142720, 148449, 149005, 155801, 132232, 133981, 139692, 142624, 145312, 152232, 154910, 129981, 133439, 138984, 143080, 147390, 152627, 155311, 129045, 133407, 140327, 143844, 146378, 149928, 156045, 131575, 133850, 136962, 143970, 147226, 150526, 155507, 129552, 133226, 139806, 140791, 147791, 152660, 156076, 128354, 132975, 139713, 143565, 148646, 150038, 155853, 130178, 134287, 139788, 141869, 148696, 150292, 153616, 129582, 134376, 137384, 140830, 146477, 151467, 153648, 130255, 136270, 136951, 141360, 147356, 149552, 155189, 128868, 134916, 138307, 142810, 146386, 150013, 155469, 128258, 128262 ]

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

[ 128259, 128000, 49, 4414, 875, 14937, 20069, 1048, 24318, 5169, 11, 109488, 51387, 7756, 72, 107877, 101844, 11, 59385, 668, 588, 544, 102430, 34143, 278, 93687, 80726, 108878, 103113, 120323, 11, 114899, 102154, 274, 541, 84, 102195, 15606, 109651, 103648, 15444, 8362, 3862, 25551, 1299, 5320, 123250, 757, 57000, 125311, 107500, 5320, 102295, 15606, 114004, 101018, 77024, 101564, 108398, 767, 109294, 13, 128009, 128260, 128261, 128257, 131529, 133547, 137637, 142045, 145153, 152764, 154241, 129667, 132965, 137119, 143451, 147239, 151550, 154884, 129718, 133146, 139645, 142741, 144745, 150416, 154024, 129045, 134252, 138586, 143529, 145126, 150577, 153232, 128634, 136064, 139495, 144083, 147414, 150287, 156745, 132098, 134371, 138679, 142362, 146089, 149900, 155452, 129738, 136119, 140138, 140610, 146840, 149446, 156173, 131122, 133619, 136630, 140948, 146636, 151202, 156723, 131188, 134097, 136676, 142102, 146124, 149795, 154722, 131160, 135503, 139645, 142306, 148156, 150723, 156587, 131543, 134162, 140339, 140712, 148051, 149643, 154318, 130035, 135348, 138276, 142385, 146130, 150278, 154648, 131333, 135873, 137778, 141103, 148207, 152153, 154570, 131543, 132710, 138761, 142878, 145842, 149647, 155825, 131014, 135796, 140007, 142451, 145432, 152603, 155940, 131397, 134552, 138522, 144430, 148084, 149987, 156726, 131543, 132792, 139100, 144178, 145080, 149783, 155953, 129045, 135621, 137508, 141440, 146023, 151007, 155170, 130763, 136023, 137223, 144484, 145505, 151322, 155586, 128275, 135069, 140099, 142007, 144937, 149647, 156442, 131397, 133649, 137029, 142585, 147000, 151248, 153036, 132116, 134502, 139917, 143276, 147426, 149067, 153664, 131543, 134316, 137427, 142342, 145695, 150011, 155315, 131188, 132369, 137999, 144085, 145992, 152796, 154451, 131397, 132457, 137999, 141517, 147359, 149335, 154041, 128969, 135094, 139129, 140716, 148424, 152277, 153487, 129667, 133838, 140200, 144428, 147359, 150631, 153042, 129813, 133779, 139220, 144239, 145153, 149511, 155734, 130847, 133558, 137598, 144428, 147261, 152649, 153953, 129045, 135503, 138835, 142684, 148437, 149778, 154284, 131188, 135253, 139739, 142375, 146426, 152681, 154165, 129273, 133148, 140336, 143541, 144745, 151603, 153835, 129551, 136195, 139996, 141836, 148710, 152305, 154990, 129223, 135847, 139469, 142676, 148135, 150868, 153228, 131552, 135920, 136951, 144481, 145369, 149670, 153118, 131172, 135317, 138001, 143691, 144874, 149574, 153960, 130998, 133792, 138804, 141006, 147613, 151277, 153879, 128956, 133433, 137958, 143411, 148449, 149289, 154411, 130336, 132684, 138726, 141818, 146478, 152644, 156378, 131039, 134339, 138540, 141003, 147311, 148901, 154400, 129045, 134769, 140064, 141735, 147635, 151014, 155657, 131188, 133779, 136916, 144290, 145875, 149052, 152939, 131543, 133360, 138279, 141322, 147397, 149813, 153913, 131860, 132726, 138052, 143200, 145331, 149277, 156294, 129738, 134232, 138357, 140637, 145365, 152511, 155889, 131826, 132487, 140245, 143155, 145730, 151970, 153573, 131713, 135990, 139491, 142942, 147445, 151330, 155708, 129738, 134312, 137856, 142706, 146520, 150929, 155500, 130321, 132769, 136604, 140589, 147731, 152232, 155225, 131543, 132726, 139981, 144309, 147239, 152054, 155079, 128945, 135442, 136896, 141602, 146516, 151671, 155780, 131543, 133407, 139879, 143383, 147730, 151207, 155292, 131188, 135974, 137858, 143954, 144657, 151691, 153444, 129667, 132949, 139653, 143962, 144972, 152477, 155230, 129738, 135300, 136824, 140790, 148517, 151567, 156328, 130321, 135222, 137176, 141261, 147166, 151001, 153138, 131188, 135458, 139064, 142100, 146240, 152123, 156200, 128945, 133493, 138160, 142841, 145040, 152246, 154134, 131039, 134311, 136964, 140874, 145983, 149568, 153291, 131543, 134913, 136907, 144180, 145695, 151147, 155969, 129045, 133952, 138279, 141609, 145730, 148970, 154310, 131288, 132684, 136593, 143402, 146540, 151779, 156463, 132318, 135633, 139143, 144476, 145964, 152136, 154597, 128868, 133025, 138213, 142932, 147259, 149881, 153753, 130334, 134098, 139880, 142122, 146386, 152168, 154887, 132185, 134047, 137395, 140564, 148182, 149706, 154692, 129045, 135637, 139752, 143807, 147239, 152205, 152994, 129273, 133460, 137267, 141960, 148204, 150898, 156816, 131543, 135568, 138841, 144068, 147239, 152512, 153386, 129667, 136039, 140095, 143673, 146796, 150932, 156607, 129045, 134150, 139072, 143142, 147730, 151946, 153066, 131188, 135503, 140066, 143758, 146426, 151734, 154670, 129667, 133010, 138426, 141297, 146813, 149156, 156772, 131035, 134094, 139362, 142809, 146551, 152598, 156835, 131397, 134970, 136693, 144558, 146240, 150252, 153290, 130147, 132684, 140478, 141378, 146562, 152312, 154074, 131188, 134515, 137661, 141848, 146613, 149438, 154214, 130147, 136307, 136906, 143303, 148595, 149051, 156918, 128741, 136039, 137548, 143674, 146583, 152831, 154451, 128969, 132941, 140043, 143489, 146240, 150541, 155681, 131188, 132908, 137862, 142822, 146755, 149808, 153101, 130096, 132551, 138023, 142528, 144735, 150027, 156934, 131188, 135564, 139478, 141286, 148637, 151141, 156769, 131543, 132982, 140349, 144434, 147604, 150521, 155490, 129667, 135358, 139934, 141648, 147414, 150561, 153057, 131397, 134102, 136631, 141057, 145096, 150918, 154202, 132193, 135125, 137273, 144222, 145222, 148906, 155507, 129735, 133975, 138651, 140559, 148320, 148758, 155705, 131543, 135221, 138252, 143741, 148084, 149375, 156369, 132172, 134878, 136639, 143396, 144905, 149091, 153931, 129045, 133006, 138966, 143321, 147239, 151579, 156347, 131035, 133281, 137523, 142362, 144758, 152382, 155927, 131397, 134813, 137656, 141354, 148595, 152123, 156061, 129667, 132724, 137533, 144191, 147525, 149307, 153444, 130124, 134990, 137030, 142714, 148595, 148926, 156643, 129106, 134811, 138335, 144512, 145781, 149238, 153191, 131188, 134076, 136692, 142645, 147768, 150867, 156288, 129667, 132874, 139390, 142740, 144756, 149883, 154960, 131188, 135503, 136605, 142145, 146067, 151805, 156578, 129496, 133495, 136736, 140559, 145257, 148956, 153688, 131014, 135504, 138888, 141183, 148473, 149665, 153875, 129718, 133407, 139294, 143756, 144860, 150587, 153317, 129667, 134624, 138116, 142558, 145006, 152087, 154163, 129080, 135626, 139790, 143225, 148156, 150524, 153038, 129738, 134951, 139252, 142453, 145365, 149768, 153208, 129158, 132936, 139116, 141741, 146878, 151666, 154383, 131188, 135143, 137702, 144379, 148192, 150825, 153286, 129667, 134525, 137937, 141547, 146240, 152733, 156294, 131397, 135637, 136683, 142545, 148585, 151491, 155167, 131014, 134525, 136771, 143943, 146949, 152000, 154165, 130457, 134827, 140218, 140770, 147228, 151367, 156933, 131188, 135503, 138227, 143107, 147791, 149335, 153545, 131453, 135229, 139291, 140969, 144776, 150800, 154263, 131543, 134962, 140315, 140565, 146813, 149078, 155237, 131039, 134185, 139908, 142669, 147339, 151802, 155799, 131397, 136298, 139125, 141103, 146274, 150354, 153610, 131223, 134973, 137782, 144457, 144953, 151518, 154284, 132146, 135541, 140116, 141522, 145695, 151414, 153295, 131188, 133407, 137047, 142684, 145016, 151858, 153177, 128652, 133985, 139417, 142546, 147150, 150433, 155634, 128557, 135503, 137421, 144107, 148352, 149015, 155473, 131188, 132381, 138643, 143312, 147083, 150610, 155965, 128956, 132376, 137313, 142703, 146010, 151054, 154425, 131884, 133605, 139753, 144068, 148449, 151635, 152916, 131397, 134515, 140282, 144541, 146900, 149905, 154807, 129667, 135377, 137260, 143138, 146438, 149281, 153377, 129813, 135946, 139255, 144484, 145365, 149289, 155273, 131860, 135655, 137562, 140675, 145680, 152232, 153282, 132146, 136328, 139543, 143772, 146105, 148832, 155242, 130223, 135503, 138820, 144618, 147933, 149377, 155157, 131397, 132543, 137493, 142897, 147762, 152114, 153504, 129667, 133157, 138107, 140955, 148453, 152714, 155767, 131188, 134138, 138645, 143360, 147000, 151637, 154071, 128557, 135147, 137231, 142662, 148650, 152101, 155228, 130928, 132865, 138004, 143826, 145299, 151177, 154418, 128557, 134598, 139147, 142584, 146364, 150408, 156216, 128956, 134217, 140264, 140679, 146564, 150995, 154198, 130550, 134546, 139730, 141910, 147251, 152311, 156060, 131532, 132470, 139122, 141786, 146851, 149568, 154386, 131543, 133530, 140516, 142897, 147525, 149143, 155214, 131505, 136313, 139184, 143372, 147823, 149986, 156763, 132293, 135261, 136793, 143281, 147443, 151833, 154264, 131534, 135847, 138041, 140918, 146850, 152094, 154518, 129221, 132784, 138713, 141085, 148159, 150348, 154893, 132247, 132788, 139429, 142932, 147076, 152348, 154697, 128258, 128262 ]

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

[ 128259, 128000, 36, 588, 106753, 106005, 88787, 4809, 614, 11178, 121699, 110617, 67565, 372, 297, 274, 32384, 50066, 3862, 459, 3862, 1026, 105723, 936, 107091, 2629, 59924, 1590, 48980, 5320, 123704, 459, 2553, 108569, 15606, 802, 26738, 61822, 101901, 124711, 16400, 587, 6127, 16809, 72, 11257, 25877, 27513, 277, 122349, 346, 106005, 13, 121858, 30333, 16507, 6127, 114133, 982, 297, 77211, 3457, 757, 57000, 16507, 20750, 3862, 2438, 276, 118548, 106507, 293, 8934, 266, 104850, 1880, 20693, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 148901, 154143, 128804, 133052, 136910, 142277, 147749, 149137, 156545, 129589, 133389, 140213, 141621, 147895, 151379, 154799, 130207, 133211, 136702, 143390, 147595, 152189, 153979, 131821, 133303, 137587, 140623, 145750, 150626, 153203, 129738, 134335, 140312, 140892, 145656, 151628, 156705, 129045, 134769, 139919, 140628, 145549, 150091, 156178, 131821, 134422, 139827, 140771, 144996, 151865, 155626, 129667, 132653, 137211, 141285, 145263, 149477, 155587, 131397, 135946, 138516, 141339, 145556, 151160, 155510, 129667, 133838, 136541, 142854, 145298, 150016, 154594, 129738, 135237, 139789, 142922, 145106, 151975, 153243, 129045, 135621, 137948, 142713, 147768, 152553, 153766, 129738, 136292, 139644, 140836, 144996, 151941, 154365, 129667, 133407, 138159, 140754, 147588, 151133, 154515, 131188, 133146, 137803, 143206, 147008, 152409, 156700, 131543, 135796, 140196, 140740, 145080, 150191, 155372, 131028, 136183, 139702, 144527, 146664, 150129, 155810, 131543, 133455, 136473, 143140, 147239, 149599, 155124, 129667, 136165, 138823, 143979, 145487, 151491, 155768, 131039, 134931, 139289, 142570, 147828, 149181, 156365, 129286, 134267, 138541, 142638, 146240, 149408, 153687, 131397, 135504, 139049, 143762, 146900, 152171, 155091, 130223, 132828, 139145, 144529, 148504, 150975, 153651, 130147, 136307, 140143, 141504, 144907, 148927, 155311, 129667, 134848, 136646, 141823, 148152, 151199, 153864, 130928, 134922, 139550, 142100, 148350, 150648, 155586, 131397, 136039, 138827, 141372, 147792, 151434, 156267, 132193, 135919, 138136, 144612, 146033, 152529, 156396, 129667, 135471, 138217, 142198, 147525, 150030, 152925, 132087, 132870, 139003, 142332, 144903, 150816, 155368, 130854, 132934, 140541, 141752, 144745, 150422, 154116, 129116, 135471, 136886, 141063, 146216, 152836, 155443, 131397, 134552, 139919, 141025, 148562, 148814, 153078, 131543, 132372, 137354, 144560, 146813, 151034, 156918, 129667, 133399, 139829, 144450, 146448, 149729, 153825, 129813, 132915, 136652, 141734, 147848, 148808, 155105, 130321, 133650, 138661, 143639, 148669, 150888, 153764, 128634, 135370, 139600, 144097, 147982, 150297, 156632, 129667, 132826, 136850, 143962, 147525, 148829, 153042, 129045, 134276, 136890, 141683, 146936, 151418, 153992, 130013, 133847, 136859, 140971, 145271, 152374, 153753, 128346, 133538, 137037, 144540, 146009, 150322, 154418, 129244, 135834, 137004, 143843, 146843, 151367, 156493, 129973, 134212, 137493, 141945, 147433, 151508, 155506, 132193, 134104, 136793, 144434, 148224, 152023, 155343, 129667, 135831, 138876, 143749, 147963, 149381, 153430, 130147, 134482, 137127, 141283, 145165, 150035, 154897, 128578, 135987, 137787, 143712, 144660, 151012, 155657, 129575, 134606, 139510, 141638, 145748, 152435, 156250, 131035, 135767, 138819, 140675, 144705, 152375, 153516, 132253, 134951, 140408, 144549, 148426, 150692, 155456, 131037, 133368, 140063, 144502, 144972, 151747, 153122, 129045, 133655, 136678, 143398, 147253, 149667, 156779, 131817, 135062, 139415, 142820, 147554, 150307, 152963, 129045, 133452, 138536, 144502, 146993, 151046, 155033, 131035, 133686, 138973, 144374, 145304, 151519, 152965, 129045, 133468, 140543, 142375, 148364, 149632, 155780, 129116, 133403, 138659, 141031, 146048, 149961, 153221, 129981, 132889, 138468, 141418, 146786, 151703, 153469, 131397, 135116, 138474, 144114, 145646, 149987, 152904, 131663, 133619, 137552, 141346, 145153, 152633, 156071, 129667, 134292, 139316, 141145, 145549, 149462, 156493, 128969, 134278, 138186, 143275, 146421, 152688, 156762, 129575, 135642, 138694, 143816, 148530, 149824, 156542, 131222, 135362, 137097, 140668, 144775, 151096, 153112, 131826, 136292, 138159, 140773, 147792, 152287, 152902, 131222, 135950, 139309, 141216, 146135, 151114, 154134, 129667, 132836, 138855, 143439, 145995, 151612, 153477, 128439, 136138, 137937, 140637, 148361, 152373, 153240, 131222, 133368, 139502, 141379, 148224, 150882, 155303, 130147, 135936, 138403, 144574, 145514, 151046, 156245, 132265, 135071, 140445, 140735, 146240, 149341, 155210, 128634, 132897, 138542, 140946, 147211, 151464, 153203, 129738, 136138, 137158, 143138, 146240, 152536, 156037, 128889, 132369, 139147, 143692, 148694, 150304, 154637, 128652, 133587, 137144, 144314, 144969, 152725, 155881, 131188, 135796, 139579, 142740, 146813, 152171, 156805, 128557, 133399, 138310, 142198, 147791, 152326, 155818, 130321, 133555, 139278, 142156, 148073, 152799, 153163, 129552, 133555, 140479, 143741, 144972, 152235, 155954, 131188, 132895, 140336, 143926, 147094, 150180, 153882, 132253, 132708, 136856, 144644, 144845, 152235, 153514, 131543, 134101, 136496, 143890, 147527, 149647, 154880, 131014, 135796, 137634, 144316, 148352, 151789, 154622, 131447, 136242, 140324, 140712, 144758, 150208, 155799, 130096, 136369, 138482, 144375, 146728, 148999, 153377, 131447, 133713, 136683, 141376, 147791, 151127, 153300, 131341, 132874, 139834, 141031, 146156, 149619, 153521, 129667, 132965, 138978, 144304, 146813, 151638, 155250, 131543, 132600, 140504, 144594, 146256, 151398, 156815, 128634, 135061, 139983, 142843, 146448, 151451, 154478, 130321, 132880, 138187, 140997, 146658, 149075, 156378, 131188, 134388, 140443, 143745, 146921, 150020, 155789, 129667, 135071, 137189, 141768, 146564, 151142, 154846, 130641, 135904, 138919, 141833, 146289, 151395, 156117, 128584, 134363, 137656, 140628, 147953, 151606, 153279, 129813, 135377, 136716, 140637, 145756, 150988, 154789, 131397, 132830, 137457, 143907, 148327, 152477, 152973, 129667, 136039, 137053, 143351, 148147, 150341, 156072, 129116, 135488, 137058, 144255, 147279, 148886, 153968, 128557, 134613, 138067, 143265, 146746, 152826, 154273, 131188, 133801, 136728, 144135, 147695, 152021, 154267, 132116, 134584, 137054, 142404, 147996, 150554, 155655, 129667, 132495, 137091, 142405, 146126, 148955, 155228, 130847, 133226, 137407, 143502, 144959, 152137, 156137, 129116, 135815, 137760, 144540, 145814, 150382, 155216, 131188, 136185, 140521, 141133, 147280, 151694, 155435, 129496, 136185, 139406, 141463, 146728, 152807, 154768, 129846, 133268, 138412, 143449, 148116, 149900, 156409, 132318, 133246, 138137, 142900, 146335, 150628, 154356, 128983, 136443, 136887, 140983, 148200, 149754, 154309, 130334, 132433, 136468, 141453, 147259, 150314, 152997, 131529, 133318, 139880, 140709, 147076, 150041, 155746, 130368, 136184, 136900, 141903, 145756, 149028, 154501, 128439, 134531, 140478, 141822, 147879, 152590, 156156, 131039, 134382, 136676, 142570, 146385, 152732, 154147, 129843, 136083, 137377, 143698, 148015, 150936, 152875, 130147, 132865, 136539, 141151, 147117, 151895, 156573, 129813, 134489, 138740, 143964, 145237, 148946, 156071, 128757, 134848, 138110, 142763, 147348, 150342, 155108, 130321, 135196, 137787, 142284, 147370, 152719, 153967, 129116, 133010, 140136, 142667, 145298, 149420, 153086, 131821, 134422, 137856, 143272, 146710, 151795, 156657, 130854, 134452, 139133, 144536, 148088, 149156, 153145, 131826, 133779, 138667, 143671, 148617, 152570, 153481, 128683, 133505, 139756, 144411, 145694, 149620, 152978, 128850, 133938, 139950, 143223, 148371, 149268, 155255, 132173, 134274, 136772, 144285, 147233, 148835, 154936, 131979, 135835, 140480, 140651, 144657, 151108, 155738, 128663, 132718, 137523, 142100, 148739, 151564, 156328, 132173, 135975, 138526, 142745, 147314, 151885, 152882, 129791, 133056, 139608, 144389, 147487, 149144, 155008, 131171, 132369, 139403, 143567, 145153, 152492, 155639, 129756, 132874, 136555, 141824, 146029, 152680, 154912, 131543, 135229, 138777, 142105, 147730, 150712, 155912, 128608, 133407, 137932, 143787, 147914, 150144, 154577, 129423, 133056, 140223, 144630, 145516, 149420, 154755, 129738, 132495, 137641, 144285, 145748, 151417, 156406, 131884, 134951, 137377, 140742, 144741, 151889, 155679, 129575, 136307, 136819, 142877, 146564, 149104, 155600, 129735, 133544, 138522, 141069, 145057, 152571, 153243, 129667, 133268, 137480, 141285, 148424, 149236, 153332, 131397, 134404, 136993, 143138, 146813, 151314, 153357, 131817, 135432, 137276, 141261, 145928, 151703, 156925, 131397, 134728, 139944, 142635, 145593, 151929, 153240, 129552, 132889, 139635, 144105, 145153, 149307, 156851, 132193, 135504, 137565, 142650, 147408, 151974, 156144, 128773, 134757, 139658, 142691, 148554, 152534, 156096, 130336, 133077, 138775, 140614, 148172, 150740, 155303, 131826, 132369, 140426, 144118, 146787, 151589, 153935, 128956, 133146, 137909, 142741, 146678, 148841, 155095, 128634, 135454, 138238, 144453, 148152, 150020, 156720, 130282, 136250, 137322, 143639, 147517, 152094, 156253, 132253, 134598, 139936, 144423, 148229, 149417, 154153, 129605, 135211, 137886, 142676, 148710, 152269, 153976, 131188, 136403, 136714, 141650, 146089, 150408, 155531, 128557, 136362, 138916, 141195, 148564, 150739, 154858, 129667, 133952, 136667, 142940, 146240, 152649, 156218, 128812, 132877, 137341, 141157, 146664, 151704, 155800, 131223, 132868, 140513, 144489, 146483, 149901, 153872, 131397, 132576, 139187, 142812, 147721, 151599, 153330, 129846, 132369, 140349, 144224, 147840, 150747, 156505, 129214, 132528, 138381, 144501, 148068, 149915, 156202, 132247, 135280, 136887, 143590, 147259, 151650, 154697, 128258, 128262 ]

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

[ 128259, 128000, 34, 288, 19586, 5769, 16382, 105770, 110877, 104460, 13665, 101256, 348, 569, 41990, 13, 123520, 115908, 55295, 273, 48497, 2668, 72, 105504, 55295, 118161, 757, 57000, 3862, 111720, 105039, 60839, 1171, 404, 113680, 18244, 309, 33573, 100463, 20548, 712, 102195, 936, 14036, 809, 28074, 122551, 51387, 12778, 118419, 1604, 109794, 114119, 220, 34472, 75437, 125496, 107706, 34271, 103328, 120538, 112443, 109648, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 146386, 152168, 156264, 132151, 134098, 137952, 142309, 145340, 151124, 154355, 130718, 134137, 136683, 143084, 145494, 150888, 153364, 128634, 132897, 139906, 141185, 147166, 152311, 156784, 129718, 134965, 139944, 141439, 146564, 152115, 153697, 130223, 133360, 140215, 142842, 145494, 150059, 156304, 130282, 134521, 137164, 144067, 147945, 150913, 153566, 129045, 133343, 136473, 143541, 147616, 152257, 152916, 130124, 134055, 139012, 144113, 146655, 151855, 154194, 131543, 134076, 137510, 142232, 147730, 150231, 156508, 131200, 135157, 138707, 142332, 145095, 148907, 156365, 131397, 135749, 137359, 140700, 148084, 149692, 153300, 128597, 132756, 139106, 143054, 146773, 152548, 154650, 129012, 135592, 136473, 143673, 147509, 151415, 154044, 131778, 136138, 138424, 142882, 146067, 150750, 155076, 131884, 133125, 139027, 144521, 147953, 149716, 155371, 131817, 135186, 139123, 144040, 146864, 150478, 152857, 129106, 133283, 137654, 141756, 146030, 151339, 156376, 129575, 133004, 137374, 142702, 146326, 149952, 154155, 129644, 132740, 137727, 143222, 145648, 149875, 153150, 130321, 134244, 139473, 141874, 147702, 151898, 156585, 131821, 134422, 140157, 143524, 147414, 150069, 156930, 128969, 132684, 137789, 143864, 146959, 149647, 155502, 131000, 133883, 138001, 141523, 148044, 148847, 153995, 129667, 135071, 139074, 144521, 145756, 152218, 155177, 129048, 135876, 140460, 142763, 144905, 149373, 155403, 131188, 132553, 139959, 142725, 147258, 148779, 155531, 128557, 133460, 138844, 142127, 144775, 151435, 153758, 132172, 132708, 139311, 143570, 145360, 151401, 154283, 131543, 135754, 137043, 144255, 146240, 151694, 154572, 129989, 135809, 138506, 143849, 146477, 150718, 154155, 130178, 135891, 140457, 141133, 148214, 151423, 153768, 132028, 133745, 139593, 141616, 146033, 151340, 154518, 132318, 135926, 139613, 142023, 146237, 150309, 156739, 132185, 134047, 137142, 142671, 145964, 149175, 156431, 130334, 134971, 138026, 140709, 146386, 152168, 153977, 130998, 136166, 138519, 141689, 144931, 149198, 153627, 130892, 133755, 138856, 144164, 144972, 149990, 156810, 129667, 134182, 136574, 141783, 146286, 149685, 155724, 129813, 136268, 138552, 144388, 146470, 150840, 155308, 129572, 134848, 139428, 140813, 147994, 152814, 154817, 131039, 135397, 137375, 142622, 147786, 150949, 153582, 130486, 136136, 136511, 142214, 145656, 152158, 155038, 131826, 132708, 139622, 141985, 148650, 149741, 156534, 132193, 132897, 137400, 140862, 146840, 148802, 156830, 130124, 134444, 139294, 143397, 146720, 149897, 155181, 128652, 133193, 139827, 142679, 148352, 151672, 154275, 130641, 135628, 138081, 143399, 144758, 152375, 156510, 132173, 134563, 136851, 143985, 145644, 150028, 155986, 131188, 133407, 138866, 142363, 147485, 152620, 155936, 130223, 134183, 136911, 141942, 145763, 150737, 154244, 128634, 133704, 139136, 141878, 145695, 150355, 153025, 128889, 132889, 136641, 142558, 148262, 149843, 153939, 129667, 133407, 137864, 141674, 146564, 152561, 154683, 130854, 136310, 138322, 141591, 146029, 152574, 153549, 129116, 132520, 139213, 142225, 145153, 149650, 153909, 131397, 136064, 136908, 141029, 148547, 151517, 156402, 129738, 135257, 139861, 144073, 146456, 151597, 153136, 132106, 133555, 139130, 141325, 144732, 152454, 154659, 130791, 135140, 138528, 144433, 147553, 150210, 153839, 129667, 133817, 137055, 143212, 148424, 151049, 155980, 128634, 133672, 137756, 144311, 144671, 150181, 154574, 129718, 133356, 138474, 144321, 147517, 151342, 155514, 131188, 134586, 138737, 141995, 145818, 151501, 153328, 128945, 133587, 139655, 141621, 148208, 149698, 153704, 131505, 135506, 137613, 142945, 147823, 148972, 156868, 131223, 133524, 138971, 143482, 145812, 151798, 152906, 130929, 135926, 137264, 143946, 144998, 152764, 155273, 131397, 132455, 140109, 141665, 146965, 152194, 152888, 129045, 135290, 138175, 141962, 145496, 151065, 154643, 131884, 132588, 137551, 144624, 146360, 150284, 154574, 130336, 133746, 139970, 143266, 146889, 150658, 154166, 128339, 132543, 137782, 144093, 145748, 150750, 155646, 129813, 132949, 138483, 144626, 146437, 152681, 156810, 130670, 135060, 136481, 142787, 146382, 152757, 154984, 130223, 135904, 138880, 141619, 147953, 150672, 155684, 131188, 133407, 140548, 143704, 148152, 149650, 155636, 130223, 135182, 139792, 142685, 147502, 149426, 155982, 131397, 134387, 138871, 143107, 148084, 151415, 155170, 132098, 132792, 137682, 144607, 144917, 151129, 156328, 131543, 132816, 140148, 142643, 148192, 150704, 156932, 129667, 132890, 140345, 143740, 147487, 148932, 154656, 131039, 132816, 139541, 144255, 147864, 152300, 154617, 132146, 132553, 139333, 141376, 147502, 151035, 152939, 128969, 136445, 139645, 141719, 146176, 150907, 154687, 132173, 133069, 138914, 142609, 147615, 149715, 156248, 128634, 134160, 138603, 142375, 144745, 151209, 154465, 128652, 132684, 137926, 141702, 148009, 150448, 156199, 131141, 136089, 139973, 141783, 145776, 148871, 155244, 128741, 133555, 137451, 143413, 148161, 151107, 152988, 130336, 132724, 136949, 143382, 147632, 151524, 155314, 129048, 135503, 139133, 143508, 146797, 152328, 156060, 129286, 134276, 139613, 142789, 144996, 150177, 153403, 131397, 134712, 140409, 143439, 146051, 152756, 155170, 132238, 135518, 136469, 141237, 144686, 152749, 155157, 132265, 135694, 140368, 143020, 145237, 151924, 153258, 132116, 132368, 140000, 143653, 148673, 149056, 155189, 132146, 133240, 136907, 141123, 146194, 151482, 155669, 131188, 133407, 140213, 143775, 146044, 149618, 156900, 129813, 135071, 140548, 143223, 147359, 150648, 153042, 129667, 133199, 138053, 142381, 147581, 150127, 156330, 129286, 135626, 138607, 141063, 146486, 151219, 155319, 129667, 133685, 136658, 144532, 145413, 151037, 156849, 131826, 134677, 139996, 143099, 147437, 149486, 155043, 130473, 133125, 136514, 140857, 145436, 151494, 154923, 131826, 135071, 137375, 142519, 146710, 152255, 156446, 128634, 132889, 140538, 143603, 148175, 151695, 153002, 130321, 134759, 137176, 141272, 147150, 149944, 152959, 130039, 133407, 137100, 144389, 145168, 150315, 153419, 132098, 133325, 139280, 144077, 147762, 150136, 156585, 129667, 136161, 136764, 143446, 148473, 149607, 153425, 131188, 133146, 138786, 142905, 148530, 149708, 154423, 129667, 134422, 139787, 144412, 144855, 150699, 156573, 129166, 135197, 138405, 141199, 147761, 152370, 156679, 131039, 136058, 136789, 143080, 146873, 152375, 155048, 131188, 134878, 139799, 144266, 145183, 152289, 153723, 130223, 133407, 136727, 141974, 147914, 150118, 154132, 129718, 135843, 138133, 142033, 146564, 150980, 153886, 129843, 135626, 137889, 143232, 144971, 149997, 156565, 129667, 134276, 140430, 143348, 147359, 152229, 156322, 131244, 132708, 140547, 143323, 145883, 151568, 154912, 128855, 135022, 137898, 144136, 146108, 151827, 153556, 130334, 134047, 136786, 141278, 147259, 150240, 152997, 132247, 134788, 139880, 142122, 146386, 151741, 154328, 132103, 134434, 137873, 142217, 146448, 151159, 155567, 132259, 132975, 138786, 141678, 148371, 151147, 153216, 131543, 134166, 136654, 142877, 144972, 152443, 155311, 130928, 135936, 139170, 140700, 146520, 152632, 156180, 130486, 133011, 137552, 143243, 146125, 151384, 155570, 131543, 134937, 140131, 141302, 148265, 148761, 153984, 130282, 134951, 138719, 141579, 144759, 149072, 156772, 129045, 133460, 139024, 143787, 147616, 151983, 155160, 129644, 133407, 137025, 140857, 145177, 151415, 156484, 131286, 133555, 139289, 143961, 145153, 152571, 156632, 131397, 132651, 138118, 141728, 146298, 150334, 155305, 129718, 136064, 139318, 141458, 145177, 151613, 156821, 129667, 133125, 137196, 144521, 145691, 151028, 153864, 132146, 135443, 140190, 143309, 148152, 152103, 154128, 129667, 135850, 140135, 143104, 146240, 151666, 155207, 131397, 135173, 137744, 144536, 146925, 150176, 155263, 129496, 135694, 136462, 143735, 147792, 152771, 156380, 131397, 133928, 140301, 143000, 146535, 150538, 153084, 129045, 134951, 137589, 141447, 146216, 152771, 153026, 131543, 135993, 138704, 144182, 147115, 148761, 156417, 131188, 135458, 138959, 142519, 148433, 151756, 155403, 131530, 133325, 138121, 143080, 147682, 149610, 156047, 129575, 134635, 137536, 142847, 146787, 151576, 153233, 131399, 134185, 140058, 142752, 145838, 151596, 154123, 131543, 135796, 137472, 140896, 148675, 150347, 153518, 131397, 135328, 138276, 141149, 148449, 149498, 156417, 129667, 135148, 139091, 142650, 148449, 151111, 153538, 131397, 132487, 137013, 142985, 146645, 151321, 154721, 131543, 134388, 138661, 142694, 146240, 152449, 155695, 130079, 135561, 138174, 144594, 144953, 149147, 156199, 132293, 135515, 137152, 141877, 145812, 151424, 154365, 131223, 133428, 137022, 142007, 147556, 152093, 154846, 129151, 135637, 136547, 143674, 145511, 151705, 153283, 128258, 128262 ]

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

[ 128259, 128000, 42, 105052, 11, 24566, 747, 5320, 113611, 125492, 2857, 48980, 100376, 13, 735, 4852, 93687, 38404, 11018, 102430, 26555, 4902, 55598, 114605, 13, 128009, 128260, 128261, 128257, 128600, 134571, 140046, 142825, 147219, 149619, 153903, 128634, 135503, 140543, 143222, 147468, 151197, 156117, 128810, 136454, 137176, 140589, 144792, 152410, 155645, 130223, 132369, 139620, 144063, 144849, 151858, 155977, 128675, 135549, 137989, 144183, 148528, 150186, 154957, 131044, 134651, 136717, 142026, 145342, 151619, 155519, 128741, 134512, 139733, 143978, 146281, 152114, 154327, 129813, 133199, 139687, 142825, 145321, 150842, 152925, 129667, 134811, 140228, 143015, 146796, 151239, 156888, 131286, 134586, 138683, 143922, 148424, 150247, 153683, 129644, 132684, 139065, 142022, 144972, 149327, 152868, 128956, 135911, 139242, 143534, 144726, 152103, 154383, 131188, 133407, 140209, 142145, 147502, 151872, 155277, 130971, 136445, 136916, 144475, 148710, 149379, 155664, 129496, 135010, 139368, 142836, 146787, 152670, 155270, 130429, 134088, 139736, 144522, 148035, 150390, 155511, 131826, 135070, 138409, 144344, 146813, 151360, 155443, 131778, 133779, 137551, 141674, 147525, 151330, 155395, 130589, 133495, 137188, 141570, 146376, 151342, 155809, 129667, 136073, 137742, 141189, 147969, 152282, 155076, 129718, 135974, 136906, 141259, 146672, 151142, 155074, 131039, 135790, 136907, 143639, 148325, 148962, 155490, 131543, 135921, 137569, 143712, 147397, 150348, 154275, 131530, 133131, 136875, 143080, 145418, 152598, 156088, 128945, 136046, 137586, 141204, 145596, 149417, 154520, 131035, 134458, 138990, 142870, 148506, 152232, 156699, 132103, 136168, 136684, 142758, 146438, 151077, 153601, 131505, 132622, 138174, 142480, 146589, 148772, 154124, 131652, 135547, 137208, 143691, 147823, 152768, 154273, 131223, 134390, 139109, 141296, 144865, 150651, 153879, 129243, 133524, 139455, 142007, 144680, 152234, 155307, 128619, 132807, 139071, 142023, 145095, 149292, 155677, 131158, 135356, 139806, 142117, 144859, 150184, 155328, 128983, 134177, 139035, 142657, 148731, 149175, 153977, 132151, 133391, 140199, 143458, 148646, 149188, 152849, 129496, 135089, 139971, 143216, 145237, 152822, 153509, 132193, 134499, 139330, 140754, 144836, 149959, 154513, 130282, 133199, 138058, 142007, 145153, 152688, 156584, 129045, 135328, 136990, 141623, 147730, 151867, 156681, 130928, 132684, 140408, 143412, 145687, 152158, 155344, 129813, 135153, 140248, 142836, 146824, 151603, 154656, 131543, 132828, 139756, 141965, 145748, 148848, 156315, 129813, 136297, 139996, 141216, 148361, 151975, 155170, 129667, 132949, 139866, 140637, 147525, 152511, 153772, 128634, 133933, 137682, 144139, 145554, 151198, 156291, 132193, 132832, 137446, 141837, 145995, 151330, 154632, 129667, 133077, 140098, 141064, 146600, 151435, 153671, 131667, 135910, 137557, 142418, 146787, 151314, 155450, 131397, 135694, 136869, 142782, 147364, 150493, 156500, 132098, 136304, 138196, 144195, 147746, 148775, 153944, 129552, 135503, 139793, 141600, 147359, 151335, 155702, 131543, 135026, 138990, 142398, 145687, 149899, 154665, 130223, 135026, 139810, 142057, 147210, 149269, 154631, 130096, 134087, 139395, 142555, 147271, 150130, 155654, 129898, 133180, 139353, 140890, 145741, 149081, 153233, 131223, 133069, 139552, 142332, 146033, 152385, 154846, 130591, 133546, 136935, 142100, 148559, 151714, 153802, 128258, 128262 ]

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

[ 128259, 128000, 36, 33639, 1172, 58697, 84240, 101917, 15606, 27615, 597, 1130, 50994, 665, 113061, 110250, 14115, 34271, 109934, 509, 75437, 29519, 108887, 13, 128009, 128260, 128261, 128257, 131114, 132537, 137374, 143978, 147914, 152630, 156932, 131328, 136292, 137113, 142375, 147887, 151394, 155108, 131447, 134360, 139280, 144481, 147658, 152627, 154834, 132146, 132684, 140101, 140728, 145468, 151516, 153830, 131188, 133399, 137264, 142096, 146564, 150287, 156069, 129045, 135230, 138370, 141580, 147964, 149214, 153675, 131543, 136064, 139819, 140610, 148071, 150773, 153409, 129045, 133540, 138574, 142515, 148153, 148990, 154367, 129667, 132955, 138786, 140572, 144805, 151929, 153078, 131397, 134256, 137158, 141097, 147509, 151330, 153835, 130147, 132874, 139378, 144285, 148424, 148946, 156619, 131397, 135865, 138758, 143480, 146840, 149709, 154793, 131543, 136240, 136688, 141435, 147746, 151726, 155528, 129045, 133146, 139852, 143412, 146089, 150421, 155334, 128945, 134525, 139911, 140840, 146172, 151296, 153410, 131619, 132941, 138299, 142441, 144853, 151613, 155724, 129718, 133010, 138860, 144063, 147914, 149968, 155131, 132146, 135455, 139068, 143467, 147724, 151089, 153759, 128969, 134669, 137771, 143275, 146660, 150322, 155158, 128634, 135237, 140055, 143926, 148108, 150205, 154388, 131039, 135806, 138186, 142017, 147064, 149810, 156500, 131242, 135297, 138568, 142809, 147852, 150324, 154163, 131188, 133403, 139834, 141063, 148278, 149953, 154357, 129813, 135504, 137817, 143886, 144744, 150598, 153761, 130847, 133707, 137398, 143266, 146787, 150822, 153687, 131397, 136367, 137801, 141674, 148562, 151424, 156347, 131543, 135655, 140445, 143845, 145576, 149137, 154348, 131188, 134712, 140138, 141795, 147751, 152570, 155980, 131070, 133415, 139945, 142863, 146957, 150959, 156843, 128817, 133653, 139538, 143806, 146479, 151073, 153758, 132151, 135280, 136887, 141855, 146386, 152655, 153753, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 128983, 135924, 137528, 144384, 148068, 150918, 156754, 132232, 133294, 139308, 141350, 145413, 152806, 156373, 131826, 134299, 136660, 141517, 145871, 151753, 156805, 129667, 135747, 140468, 141346, 147359, 151631, 154503, 128969, 133933, 138136, 142227, 148198, 150059, 155040, 131188, 135483, 137264, 142755, 145695, 149204, 156679, 129045, 134958, 140099, 142349, 147488, 148964, 155833, 131103, 134811, 138203, 141516, 145687, 149112, 155124, 129738, 132719, 138183, 141137, 148147, 152714, 155095, 130796, 135706, 137163, 144361, 148669, 150535, 154858, 129045, 135076, 138185, 141705, 145875, 149060, 155352, 128945, 133493, 138663, 141582, 145220, 149900, 156469, 129718, 135626, 139181, 141995, 144673, 152116, 156060, 131039, 134097, 136749, 142624, 145646, 149629, 153138, 129667, 133952, 138273, 144600, 147487, 151734, 153318, 131401, 135193, 137506, 144435, 144919, 148904, 156597, 130124, 134612, 137900, 143885, 146400, 152227, 155969, 131397, 134031, 139512, 144394, 146364, 152795, 154083, 130847, 132369, 140266, 142063, 145293, 149147, 156370, 129045, 134150, 136812, 144393, 146216, 152488, 155959, 130124, 132684, 137702, 144305, 148449, 152107, 155457, 132103, 133326, 138118, 141589, 146923, 149145, 154880, 131397, 133407, 138586, 143326, 145344, 149335, 156928, 129472, 135904, 140404, 141403, 145183, 151342, 155954, 128969, 133468, 138360, 141083, 145177, 150610, 156357, 128555, 133033, 138229, 142945, 145695, 152759, 156343, 128969, 133095, 140021, 140750, 147445, 151904, 154220, 131104, 136087, 136569, 142130, 145659, 152449, 154610, 129898, 136308, 139528, 141846, 146573, 149700, 154388, 131652, 135421, 137451, 142099, 146953, 149986, 153904, 132028, 133745, 138656, 140756, 145377, 152526, 155687, 131132, 135862, 137844, 143308, 148212, 149358, 156430, 128258, 128262 ]

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

[ 128259, 128000, 35, 13856, 85226, 3067, 15606, 3703, 332, 13835, 3067, 104740, 15606, 3352, 125670, 118153, 26364, 84, 50994, 55809, 31285, 8892, 2448, 48497, 2448, 13, 111032, 107766, 7370, 16034, 65544, 15606, 121950, 5320, 7951, 12874, 64010, 101393, 105039, 15606, 103838, 597, 41996, 747, 77211, 307, 258, 104250, 3862, 17372, 5797, 273, 37303, 30333, 45949, 10946, 109294, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 141725, 148731, 151016, 155941, 131543, 133794, 140317, 140899, 146813, 152008, 154423, 129496, 133399, 139146, 142984, 146921, 152123, 154055, 128339, 133231, 139320, 144374, 147404, 151568, 155288, 131397, 133597, 136473, 142516, 147635, 150648, 153160, 129738, 135237, 139861, 141467, 145691, 149280, 156831, 129045, 133099, 137508, 141146, 148352, 149467, 154346, 131543, 135442, 140538, 142668, 145783, 151176, 154093, 129045, 133146, 139116, 143514, 145434, 151961, 154516, 128945, 134306, 139677, 142857, 146678, 149924, 155248, 128969, 133704, 138539, 143592, 145695, 149391, 154652, 129552, 133407, 138754, 141024, 148449, 150176, 154978, 129092, 133433, 138780, 143909, 146678, 149575, 155801, 131397, 132885, 137359, 143444, 147746, 149787, 156831, 129045, 135442, 138911, 141798, 148205, 150364, 156178, 130147, 135199, 138248, 142934, 148217, 152350, 154793, 129045, 132462, 139419, 140796, 148378, 149838, 156381, 131447, 135443, 137427, 142696, 145621, 151001, 153953, 128584, 133262, 140101, 142684, 146505, 149638, 154433, 129045, 133779, 139853, 143422, 146813, 151433, 154423, 131543, 133933, 137793, 141569, 147730, 149990, 155553, 131397, 134552, 139522, 143411, 146840, 151495, 153920, 129708, 134492, 138837, 141395, 146678, 152829, 153982, 128557, 135377, 140511, 144625, 145748, 150929, 154587, 131399, 135473, 138141, 140989, 145523, 151803, 154570, 131543, 135265, 138974, 141790, 148084, 149680, 154815, 128956, 136040, 138781, 140869, 147827, 151516, 154361, 128634, 135864, 136962, 141798, 145162, 152121, 156587, 131543, 134592, 138175, 143231, 145082, 152080, 156845, 131397, 136234, 139162, 141228, 146787, 150552, 153471, 131858, 136030, 140527, 140604, 146816, 149281, 155563, 128969, 133868, 138562, 143781, 145695, 151795, 155861, 128652, 134150, 136967, 142936, 145177, 149843, 154846, 129116, 135735, 139577, 142015, 147518, 150355, 155131, 129667, 132517, 136520, 143056, 147635, 150154, 156824, 128557, 134499, 139229, 140970, 144907, 151443, 152938, 128945, 133768, 139190, 141705, 147073, 150750, 154631, 130223, 135665, 139291, 143777, 145926, 148843, 156763, 129718, 136344, 137839, 143929, 145177, 149093, 156597, 131188, 134586, 137897, 141031, 145014, 148784, 156827, 131397, 134631, 139194, 142205, 146900, 152792, 156150, 130321, 134104, 137611, 144195, 146700, 151568, 153291, 129286, 136097, 138036, 144645, 145748, 152005, 155767, 131397, 134598, 139478, 144296, 145484, 149813, 155378, 128557, 136370, 139397, 142039, 148181, 150647, 154029, 131543, 135497, 140051, 141062, 145994, 148781, 153972, 128634, 133468, 138522, 143863, 145444, 151013, 154650, 128578, 132816, 140286, 142878, 145829, 150467, 153584, 131543, 136364, 137359, 141850, 144657, 150463, 155662, 131397, 135504, 138038, 141780, 148399, 151888, 153428, 129552, 134217, 136478, 144227, 145153, 151248, 153067, 129286, 134252, 139600, 140854, 145515, 149167, 153326, 128578, 132816, 138782, 142767, 144977, 152082, 155717, 131543, 132502, 138036, 144069, 146240, 150517, 155801, 132185, 135780, 136674, 142436, 146335, 148907, 153271, 130334, 134971, 138630, 142048, 146386, 152168, 154410, 128983, 135924, 137528, 142900, 148068, 150557, 155262, 128600, 134137, 136683, 141455, 148268, 150737, 153816, 131397, 134921, 136747, 140749, 145298, 149987, 155091, 131104, 135347, 136476, 142156, 148400, 149142, 153259, 132232, 132510, 136473, 142963, 146580, 150689, 156357, 128969, 132684, 138120, 142095, 146526, 149443, 156327, 130223, 135926, 140552, 140583, 148449, 149093, 153761, 129718, 135347, 140101, 142843, 145569, 149242, 156396, 131039, 132470, 139415, 143570, 145612, 149571, 154296, 129667, 132517, 137239, 143489, 148650, 149236, 155473, 129756, 133360, 140302, 143835, 148036, 152058, 154858, 129813, 132934, 138474, 143593, 144971, 150481, 153099, 129667, 134848, 136554, 141433, 145196, 149870, 155219, 132265, 133952, 140245, 141875, 148585, 150540, 156140, 129718, 132902, 138233, 144082, 146448, 152516, 153513, 129385, 134922, 139276, 144005, 147184, 152009, 152857, 129045, 133952, 139612, 140739, 148161, 150947, 156328, 130321, 133130, 139892, 142475, 145987, 152786, 156080, 129667, 134467, 139910, 143056, 148224, 148792, 155560, 131397, 132565, 137548, 142467, 146945, 152120, 153421, 131188, 134183, 140480, 142519, 145695, 151148, 153189, 132103, 134193, 138066, 143712, 147852, 151764, 156178, 130486, 135042, 139332, 142898, 145733, 152243, 152917, 131543, 133928, 137311, 142271, 147914, 152234, 156720, 129738, 133077, 140223, 140952, 147792, 149329, 156724, 131039, 136240, 136713, 141876, 147426, 150725, 156478, 129718, 135116, 137553, 140657, 148366, 149623, 153723, 131397, 134951, 138437, 143243, 147000, 152431, 155124, 129667, 135910, 139012, 143196, 147525, 151895, 154486, 131397, 133587, 137053, 143979, 147861, 151378, 153685, 128681, 132613, 138146, 141480, 147402, 151359, 156699, 130473, 132766, 139240, 141929, 147322, 149538, 153833, 130124, 133460, 138775, 144331, 145482, 149659, 155896, 132259, 132461, 138975, 142787, 144763, 149163, 154525, 129813, 133154, 137093, 144285, 146055, 150430, 155777, 132265, 135433, 137093, 140836, 145333, 149194, 153086, 129472, 135567, 139366, 141848, 146670, 149700, 154851, 129718, 134160, 137878, 140739, 147914, 151742, 156017, 130223, 133263, 137223, 141644, 147844, 152666, 156769, 131543, 134562, 137771, 144594, 146331, 150059, 154630, 129552, 134677, 138107, 142203, 148424, 150913, 153837, 130321, 136013, 136779, 141709, 148236, 152064, 156396, 128675, 135826, 139981, 142967, 144901, 149978, 155061, 131188, 133033, 139569, 144388, 147791, 150268, 155700, 129667, 135237, 139027, 141875, 145434, 151330, 156533, 131397, 134444, 138719, 142706, 148399, 149146, 155902, 130223, 132895, 139198, 141758, 146448, 151664, 153697, 128969, 132889, 138624, 143374, 147144, 149125, 155936, 128634, 132478, 137226, 143723, 145177, 152580, 155369, 131447, 136257, 137525, 143648, 147426, 149011, 154290, 132146, 134965, 138121, 142559, 146426, 152501, 155912, 129667, 134811, 139921, 143966, 145756, 149676, 156635, 131104, 134911, 139553, 141910, 147115, 150775, 153811, 129496, 132965, 138041, 141254, 148426, 151176, 155862, 131778, 132828, 139641, 142198, 147322, 152431, 154422, 129738, 134312, 137742, 140970, 146600, 151074, 155443, 130968, 136274, 138272, 141137, 147487, 151088, 155124, 129667, 134467, 139653, 143979, 148562, 150144, 153874, 130147, 132653, 139510, 144367, 147681, 150561, 153504, 131651, 133971, 140250, 142030, 145152, 152397, 153306, 128657, 136294, 139587, 140564, 148696, 149781, 156882, 129898, 135561, 137919, 140839, 146033, 151156, 153044, 132103, 133664, 138181, 141541, 146288, 150501, 153298, 129045, 135504, 138120, 140580, 147730, 152664, 155226, 131035, 135665, 140282, 141623, 147596, 148872, 156128, 131826, 133146, 137552, 143397, 145943, 149147, 153755, 129667, 132718, 139460, 141285, 147646, 151330, 155951, 131826, 135071, 137552, 144319, 144996, 149204, 156666, 130124, 133487, 139024, 143031, 146664, 151362, 155233, 131397, 134477, 137029, 140565, 146787, 151838, 154112, 131670, 135377, 138330, 143614, 145014, 152840, 153599, 131188, 135858, 139417, 141455, 144657, 152043, 154271, 131625, 133157, 138107, 141752, 148300, 150735, 156699, 129292, 135087, 138454, 143075, 145900, 149647, 154411, 129273, 133077, 139506, 142814, 147126, 152284, 153038, 132103, 133421, 140116, 143472, 145672, 152723, 156534, 128557, 134499, 136710, 144279, 147029, 150776, 153397, 129667, 134970, 137304, 143700, 145253, 151764, 153825, 131104, 134386, 138891, 143696, 148399, 149592, 156000, 128402, 135732, 139234, 142786, 144758, 152527, 153326, 130321, 134770, 138773, 144198, 148144, 148906, 156476, 131625, 134166, 138459, 142429, 147794, 151548, 154441, 132293, 135889, 139492, 142030, 145349, 148856, 156493, 131223, 135261, 136671, 142475, 144804, 151115, 153057, 128817, 135385, 139733, 143544, 146386, 149823, 155469, 128258, 128262 ]

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

[ 128259, 128000, 88115, 16507, 126347, 115950, 3067, 103319, 102265, 107646, 103024, 25506, 13, 473, 548, 26554, 105540, 2779, 264, 44386, 2438, 75437, 101564, 108398, 108878, 120748, 52077, 8148, 7792, 668, 342, 86654, 3423, 3862, 14115, 127631, 100500, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134098, 136613, 140866, 147204, 152098, 154272, 129496, 135265, 137243, 142878, 144840, 148904, 156918, 131035, 134076, 139720, 144603, 145005, 151046, 155067, 130147, 133843, 136939, 143915, 145237, 150837, 156254, 129667, 132890, 139132, 144630, 146514, 149639, 153716, 128634, 135253, 136712, 142843, 145695, 150874, 156481, 128889, 132369, 136715, 144629, 148152, 151941, 153513, 130039, 132700, 139833, 141755, 146059, 151698, 156335, 129385, 135029, 136926, 141298, 148530, 149734, 154271, 128557, 132619, 140282, 143242, 144752, 149666, 155264, 131397, 136112, 136616, 142966, 145506, 151794, 153715, 132253, 135511, 138321, 142841, 148637, 152822, 154524, 129496, 132828, 138796, 144529, 147445, 151490, 153651, 129423, 135977, 140158, 143948, 145106, 151855, 155762, 129813, 132865, 140031, 141500, 145756, 148946, 154111, 128889, 136136, 136870, 143249, 146599, 149506, 153139, 132146, 132816, 137690, 142764, 146670, 149684, 154831, 128634, 134848, 137703, 143835, 145655, 150682, 154959, 129116, 135681, 138562, 142933, 146124, 149910, 152903, 130223, 135904, 138067, 141783, 148589, 149189, 154952, 131188, 134951, 138588, 142134, 147519, 149788, 154376, 130778, 135322, 138226, 143654, 146176, 148758, 154304, 128956, 135295, 137341, 140922, 148332, 152827, 153137, 131104, 135023, 139813, 142940, 146674, 149845, 154706, 129667, 135820, 138264, 141327, 144911, 149524, 153060, 131039, 132623, 136473, 140772, 147317, 152232, 153751, 129045, 136436, 136629, 142234, 147803, 152252, 156571, 131971, 132481, 140043, 143310, 146871, 150215, 154420, 130178, 135114, 139512, 141616, 148242, 152603, 156031, 131654, 133524, 136717, 141235, 147944, 151423, 155822, 130255, 135926, 136743, 142756, 146033, 150132, 153751, 132318, 135862, 138236, 140715, 147644, 150277, 153912, 131670, 135686, 139085, 143576, 145878, 150879, 156342, 131188, 135880, 139496, 144353, 144657, 151524, 155138, 128634, 134422, 139751, 143534, 146881, 150427, 152878, 129045, 133961, 137322, 141523, 145695, 151788, 154214, 128945, 135626, 140348, 142030, 147166, 151264, 155549, 129106, 134525, 140082, 141419, 145730, 151758, 156173, 130096, 135178, 137744, 141936, 146462, 152394, 156129, 129738, 133204, 136513, 140610, 146051, 149932, 156632, 129667, 134951, 138846, 143170, 147525, 152750, 155307, 130368, 133711, 138120, 141322, 148204, 152404, 156569, 129286, 136097, 137107, 143004, 146861, 150430, 154714, 129423, 135358, 138889, 144362, 148595, 151325, 154744, 129575, 134633, 137250, 144623, 145263, 152579, 152965, 129792, 135674, 139512, 142385, 148585, 150925, 153619, 130147, 133472, 137568, 142005, 148595, 152696, 153920, 129575, 133587, 138232, 143462, 147939, 152555, 155064, 131397, 135370, 137130, 143421, 145263, 150355, 156932, 129045, 133407, 140356, 143943, 148673, 152609, 155265, 129813, 132510, 138323, 141549, 147359, 152403, 156025, 129667, 135071, 139146, 141500, 144988, 152792, 153156, 131543, 134878, 138591, 143673, 145434, 150020, 155560, 129738, 133779, 140271, 144522, 148585, 150560, 156174, 132116, 135377, 138277, 142018, 145328, 150888, 155011, 129286, 134753, 137343, 144255, 145183, 150119, 153870, 129045, 132976, 138389, 144352, 145730, 150536, 155803, 129575, 136145, 138537, 141995, 147349, 150218, 153070, 129045, 132369, 138524, 141594, 148736, 151302, 154951, 131039, 135498, 138600, 142993, 148108, 150751, 155227, 128969, 133711, 139278, 142906, 145041, 150210, 156473, 128634, 132889, 138935, 143082, 148650, 151695, 154529, 131530, 133325, 137322, 142624, 147481, 149149, 154482, 129667, 132543, 137264, 144019, 147646, 149577, 156074, 128812, 135864, 138795, 141888, 148095, 152822, 154283, 132098, 135113, 137214, 143376, 146800, 150331, 155051, 131188, 134811, 137958, 143693, 144657, 151579, 155217, 128295, 136046, 138390, 141615, 147740, 150187, 156525, 128652, 134404, 137451, 142092, 147517, 149329, 156183, 132146, 133307, 138067, 142878, 147791, 149839, 155392, 129667, 135126, 137480, 143005, 146573, 148895, 154040, 131543, 132553, 137564, 143738, 148658, 149841, 153558, 128945, 133308, 136551, 142204, 146923, 151939, 156315, 131543, 134552, 139384, 143542, 145080, 151589, 156619, 131530, 135993, 139752, 144040, 146068, 149608, 156306, 131259, 134094, 140337, 142386, 147499, 152747, 153228, 131543, 136080, 138021, 142846, 148437, 150136, 154358, 129496, 135442, 138143, 142929, 148147, 149858, 156776, 131543, 133276, 137722, 142624, 146589, 149539, 154160, 132146, 135700, 138266, 141542, 147746, 150061, 154241, 131397, 135199, 138740, 141195, 147545, 151566, 155275, 131778, 135414, 137934, 143446, 145260, 151278, 153197, 131543, 136398, 137906, 144317, 145885, 150514, 154376, 130634, 132826, 140219, 142950, 145965, 152780, 154622, 131652, 133061, 138988, 144489, 147709, 148791, 155591, 129221, 132665, 137702, 142077, 144804, 151817, 155951, 128868, 135072, 139937, 142810, 146386, 151343, 154697, 128258, 128262 ]

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

[ 128259, 128000, 42, 7442, 2807, 3457, 101894, 105862, 2448, 1048, 409, 71, 7370, 295, 83000, 438, 3862, 6713, 114004, 293, 30333, 10114, 3862, 5964, 276, 85226, 5769, 332, 359, 118519, 18578, 6362, 268, 122184, 597, 18826, 102308, 109206, 597, 4852, 30333, 102531, 102851, 379, 16623, 114566, 101564, 103454, 293, 10114, 41990, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 148383, 151116, 153566, 130912, 132646, 139964, 143085, 145041, 152716, 153125, 130589, 132784, 140148, 142479, 145656, 150045, 156056, 129045, 133208, 137040, 142801, 146818, 149815, 154586, 131345, 134328, 137856, 141084, 145240, 150697, 156303, 129045, 136036, 138745, 141142, 145721, 149855, 155812, 131035, 134861, 139378, 141852, 146564, 150756, 155186, 129552, 135626, 138895, 144217, 148424, 152469, 155489, 131619, 135626, 139407, 143265, 145263, 150659, 155350, 128969, 133281, 139603, 141621, 147914, 151035, 153437, 130124, 132895, 140543, 142918, 147743, 149204, 156317, 128600, 135677, 139874, 144435, 145868, 152058, 156088, 129813, 135433, 139830, 142490, 145691, 149932, 153825, 129667, 135199, 140223, 142105, 147359, 150255, 153471, 129718, 134451, 139228, 140660, 147444, 152082, 156694, 131543, 132543, 136676, 142342, 145695, 148980, 153391, 129575, 132684, 138470, 142519, 145178, 151273, 155853, 128627, 132613, 139398, 142130, 146083, 151414, 153954, 131884, 135034, 138882, 144291, 144836, 152713, 155051, 132160, 135345, 137577, 141332, 146802, 152649, 153085, 128969, 133415, 136654, 142495, 148437, 149041, 156413, 128652, 135442, 138431, 140689, 145434, 152152, 155475, 130550, 135193, 138801, 141097, 146462, 152225, 156471, 131039, 136053, 138308, 144108, 147994, 151221, 153723, 129045, 134677, 137166, 143096, 147634, 150761, 154244, 129718, 132982, 137920, 141523, 147216, 151840, 155343, 128652, 132684, 137379, 141985, 148352, 150122, 154577, 131397, 133540, 138118, 142634, 146089, 150406, 155796, 129667, 133268, 138766, 143979, 148725, 151033, 153716, 129575, 136161, 139185, 143971, 146193, 150188, 154788, 129738, 135504, 139861, 141069, 146840, 152326, 155762, 131397, 135800, 139091, 141975, 146437, 151147, 154529, 131543, 135880, 137420, 143272, 146667, 150681, 156267, 128956, 132369, 139169, 142558, 147776, 149417, 154458, 131397, 133669, 138384, 142010, 146793, 150955, 153357, 131188, 135796, 139238, 141586, 145519, 152644, 153897, 131709, 133884, 137906, 143909, 148242, 152637, 153037, 131543, 136012, 139908, 144126, 145695, 150518, 155242, 131625, 135546, 138237, 144090, 145807, 151663, 156239, 131543, 134278, 140440, 140994, 147000, 149680, 156918, 129738, 133399, 139682, 141537, 147599, 148799, 156174, 132193, 134566, 137181, 143382, 147235, 152300, 155215, 131860, 133597, 138528, 140875, 147136, 150937, 155009, 129667, 133399, 138539, 141097, 147599, 152500, 153573, 129045, 135221, 137696, 140924, 145080, 152216, 153110, 130524, 133757, 140534, 141823, 146156, 150937, 154822, 129124, 135211, 138224, 141994, 145575, 152492, 155252, 131998, 134101, 139805, 143445, 144679, 149596, 156588, 132063, 135330, 139052, 140697, 144651, 149064, 155997, 130949, 134165, 138363, 142130, 146033, 152731, 155822, 129364, 133405, 138041, 142881, 147145, 151857, 156111, 129286, 136040, 139227, 142896, 147304, 151007, 153755, 130562, 134771, 138101, 143231, 146748, 150252, 153915, 129718, 134743, 137853, 142051, 147292, 152256, 153060, 129843, 135432, 138227, 141643, 145183, 148864, 156210, 129667, 133228, 137829, 142690, 147749, 148946, 156045, 129012, 134910, 136547, 142223, 148099, 149017, 153979, 129667, 133976, 138729, 142803, 147414, 152331, 153573, 129813, 132865, 139042, 143489, 144805, 149172, 155679, 130321, 133325, 139119, 144113, 146578, 150939, 153895, 129116, 134263, 136894, 144255, 144664, 150502, 155490, 128956, 133268, 139107, 143663, 147646, 151612, 153822, 128634, 132975, 138858, 143420, 146293, 151726, 154422, 131826, 133655, 136514, 141807, 147509, 149774, 154248, 129667, 136073, 137350, 142955, 147525, 149156, 155796, 129813, 133403, 139789, 143436, 146796, 150570, 155517, 132265, 134508, 138740, 143243, 144745, 149307, 153571, 131039, 132816, 137002, 144335, 146409, 149810, 155294, 131543, 135976, 138665, 143374, 146813, 152773, 154422, 131014, 133470, 137846, 144648, 147397, 150038, 153060, 129496, 135458, 137849, 144331, 145687, 152511, 153634, 131397, 133801, 139596, 144344, 147791, 152212, 155077, 129667, 136307, 138118, 142819, 148585, 151644, 155142, 128969, 133188, 140108, 144528, 144972, 152801, 155363, 129045, 133492, 139309, 141348, 147110, 150810, 153244, 129738, 134044, 138960, 143196, 147255, 151729, 156328, 131530, 133130, 139965, 143512, 148061, 150324, 153351, 128557, 133145, 139368, 143060, 145687, 148829, 156831, 132106, 133399, 137513, 143272, 145882, 149990, 156868, 129575, 135845, 138370, 144516, 148595, 151067, 155165, 129552, 136161, 138158, 141920, 146216, 150898, 156805, 132064, 135919, 139016, 142951, 148174, 152282, 155086, 128969, 134189, 137122, 143969, 144942, 149781, 155462, 131421, 135199, 137525, 143489, 146554, 151371, 155460, 130641, 133913, 138698, 141752, 147746, 149680, 156173, 129667, 135126, 139787, 142919, 147359, 149892, 153329, 128634, 136064, 139578, 142497, 148352, 152773, 153486, 129045, 136064, 139656, 144178, 145434, 149952, 155150, 129981, 134918, 137220, 142323, 144916, 151436, 154282, 131778, 135910, 139238, 144054, 148426, 150388, 156006, 129667, 135503, 137646, 143479, 147189, 151546, 156798, 128969, 135366, 138428, 142281, 147359, 150649, 153487, 132146, 132895, 140279, 142663, 145104, 151302, 155052, 129667, 133597, 138046, 144000, 145756, 151049, 156294, 128889, 132369, 139687, 143056, 144657, 152511, 155110, 131397, 133586, 140235, 140761, 147359, 148811, 156788, 128969, 135904, 136482, 142960, 145360, 151260, 156370, 129667, 136165, 137270, 143185, 147359, 150015, 155292, 131397, 134252, 138483, 142558, 147029, 150291, 156619, 130892, 135178, 136631, 142322, 145748, 151278, 153397, 129496, 133077, 137570, 141322, 145410, 150441, 156257, 130123, 135541, 136473, 140941, 146138, 149589, 156850, 131543, 133091, 138125, 143496, 147359, 151366, 154283, 130457, 132868, 137023, 144212, 148221, 152097, 155652, 130835, 133075, 139548, 141893, 147861, 149619, 155108, 131223, 132665, 140480, 140813, 148135, 149082, 153998, 132028, 135443, 137773, 144026, 148515, 150009, 154425, 128817, 132392, 136844, 141661, 146386, 149992, 155469, 128258, 128262 ]

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

[ 128259, 128000, 101579, 107062, 81438, 107208, 102550, 113499, 111542, 116517, 86654, 114648, 102322, 102219, 1608, 16618, 120515, 13, 128009, 128260, 128261, 128257, 131337, 135252, 137418, 143419, 146763, 151757, 155464, 129876, 133541, 139978, 140801, 146382, 149301, 154172, 131039, 134857, 138474, 142170, 147624, 150950, 154753, 132265, 133837, 136562, 144254, 146580, 149381, 152885, 128634, 134586, 139398, 140950, 147398, 152394, 154271, 131821, 132525, 139492, 143768, 145591, 151261, 156769, 128969, 134669, 137226, 142475, 144708, 152764, 156858, 128634, 133213, 137146, 143659, 148041, 152647, 156718, 128969, 134906, 137531, 142733, 147810, 149773, 154837, 128266, 134339, 140145, 141944, 144831, 150665, 154678, 129715, 135973, 140224, 141451, 147298, 151202, 153984, 128634, 136064, 138893, 141450, 146067, 151130, 155129, 131821, 133779, 137878, 142563, 148088, 152836, 155243, 130321, 135767, 137835, 143598, 147887, 149692, 154288, 131447, 133664, 139426, 143186, 145114, 152567, 153872, 131421, 135864, 137161, 142015, 147549, 150491, 154484, 128634, 133174, 139307, 141020, 145083, 150470, 154854, 131543, 132718, 137680, 143534, 145649, 149808, 154931, 129045, 133655, 137245, 140840, 147934, 150310, 156573, 129116, 135311, 137520, 143745, 145783, 151033, 155395, 131039, 133206, 137605, 143454, 145462, 150762, 153317, 131188, 133928, 138860, 141084, 146654, 152570, 153243, 129045, 135796, 137697, 142058, 146216, 149004, 155413, 131530, 135633, 137074, 141418, 146868, 150050, 154074, 131826, 135665, 138505, 141346, 147414, 150631, 153755, 129045, 133053, 138959, 141727, 147746, 151975, 154034, 129718, 135506, 137037, 144231, 148045, 151338, 154991, 130321, 135174, 138664, 143614, 146224, 148989, 155756, 129012, 134233, 138001, 141483, 145015, 152182, 153347, 131014, 134525, 138499, 141516, 144780, 151574, 153691, 129045, 133868, 139276, 140569, 147762, 151925, 155077, 132146, 135059, 138835, 141187, 148045, 152058, 153139, 128956, 136076, 137484, 144204, 147473, 150818, 155708, 131188, 132619, 140385, 141665, 147730, 151790, 152999, 129813, 136064, 139607, 141149, 145387, 151388, 156918, 129756, 134306, 139228, 143654, 146094, 150915, 155250, 132253, 134878, 136641, 141603, 148168, 151603, 155305, 129718, 135530, 139405, 140944, 146920, 148801, 152897, 128812, 132520, 137769, 141665, 148424, 150284, 154020, 128652, 133407, 138940, 142300, 147250, 151972, 156699, 131961, 135886, 138057, 140589, 146661, 152786, 155662, 128557, 133077, 137597, 143590, 147099, 149096, 154369, 131134, 133206, 136954, 143848, 146766, 151055, 156438, 132146, 135809, 140339, 142530, 145695, 150945, 155214, 130223, 133305, 137857, 143194, 144657, 152649, 155662, 131667, 133460, 139604, 142130, 145199, 151366, 153615, 131397, 133972, 138034, 140997, 148395, 148997, 153060, 131860, 134776, 140550, 143937, 147461, 150456, 156197, 131778, 135358, 138891, 144411, 146226, 148864, 152938, 131417, 132461, 137535, 144333, 146422, 150324, 153373, 130520, 134468, 137232, 144086, 146250, 150381, 153388, 132293, 132776, 139035, 141128, 146848, 148830, 155795, 129221, 132605, 139703, 141322, 148582, 150061, 155616, 132247, 133547, 139743, 143684, 146386, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 32, 7370, 110193, 117265, 409, 101177, 2448, 1031, 8023, 25877, 118929, 28985, 120578, 982, 59385, 668, 588, 544, 102430, 13665, 450, 105215, 101488, 5320, 802, 112965, 80445, 106472, 459, 4355, 78413, 18244, 1394, 15606, 101371, 38404, 101018, 103024, 102733, 296, 110193, 509, 438, 3862, 13, 128009, 128260, 128261, 128257, 131762, 135252, 140046, 143154, 145846, 149116, 156023, 129738, 134949, 140028, 143704, 148175, 151713, 154505, 128402, 136454, 136907, 144539, 146672, 152375, 155325, 129552, 132684, 137386, 142667, 146216, 151158, 152866, 129575, 136136, 137285, 140872, 147763, 151231, 155493, 131543, 134260, 137919, 144331, 148084, 148796, 156580, 129045, 132874, 137039, 140616, 146048, 150143, 153329, 130321, 135466, 137848, 144166, 147789, 151392, 156258, 129045, 133056, 138041, 140884, 147730, 150287, 155242, 128652, 132909, 139288, 142929, 146900, 152796, 156686, 129718, 132369, 138586, 143885, 145104, 150409, 153291, 128761, 132771, 138474, 144539, 147763, 152135, 155500, 129813, 136297, 138102, 142600, 148401, 152372, 153060, 128634, 133587, 140480, 141314, 145695, 150567, 156251, 129718, 132895, 138243, 144290, 147914, 150200, 154433, 131188, 135626, 138777, 144090, 147517, 150953, 154358, 129667, 132517, 138539, 142919, 144805, 150788, 154030, 129813, 135504, 136694, 144522, 146600, 149934, 153359, 131667, 135377, 140298, 142449, 146473, 152800, 156409, 131530, 135497, 138060, 141589, 146775, 148761, 155305, 128634, 135990, 137485, 141926, 146732, 150287, 154504, 128557, 132865, 138749, 143489, 147791, 152831, 152956, 131888, 134944, 139026, 143464, 146695, 150895, 153610, 130641, 136370, 140368, 141363, 145153, 150796, 155951, 129667, 133952, 137053, 144600, 148687, 151631, 155513, 130223, 135665, 139768, 142626, 147887, 149420, 155609, 131530, 135560, 140159, 144131, 147350, 152764, 156382, 128634, 133704, 138957, 144320, 147414, 151154, 154933, 132146, 132369, 140085, 143272, 148131, 150980, 153721, 131188, 135626, 138692, 143541, 145434, 150810, 153240, 129667, 135237, 138267, 143783, 146240, 149741, 154288, 131543, 134922, 139450, 143110, 148352, 151365, 155631, 131188, 135503, 137113, 142501, 144895, 150587, 154006, 129286, 136064, 139717, 143882, 146813, 148803, 153207, 131643, 133992, 138843, 141322, 147925, 152101, 155455, 129292, 134412, 136966, 140594, 147982, 148820, 155554, 131397, 134499, 139883, 141742, 146787, 150561, 155734, 129667, 135147, 136541, 143925, 147525, 149778, 156607, 130486, 133228, 140223, 144378, 147646, 148940, 155546, 128969, 133287, 137269, 140890, 147474, 150223, 154450, 129045, 132908, 138858, 141549, 148673, 150077, 155451, 131397, 133597, 139676, 141259, 145005, 151933, 154129, 129813, 132954, 138136, 141886, 147632, 149192, 154489, 130223, 132654, 137720, 142674, 145243, 152204, 155528, 131563, 135873, 139170, 143961, 146009, 150942, 155463, 131409, 135535, 137519, 144572, 148002, 152404, 153762, 131188, 132369, 140291, 142482, 146426, 152039, 156782, 129552, 136149, 138133, 142105, 148168, 152219, 156120, 131397, 135197, 137189, 141285, 146813, 151865, 153234, 129667, 134396, 140011, 142740, 148645, 152209, 152985, 131998, 135416, 138239, 141381, 145709, 152271, 155720, 129715, 135211, 136547, 142549, 146477, 150253, 154791, 132288, 136227, 137958, 141757, 147704, 150854, 153532, 132343, 133874, 140333, 143167, 145570, 151962, 156895, 128945, 134776, 138900, 144309, 147166, 151972, 155631, 129045, 135442, 139291, 140991, 148318, 151236, 155611, 131543, 135074, 137093, 142243, 146498, 149570, 155437, 131188, 132835, 139033, 142254, 147583, 151704, 153924, 130124, 134076, 138192, 142164, 148327, 151040, 153929, 129575, 135641, 138554, 144633, 147914, 149694, 153313, 130147, 135864, 140426, 141285, 148152, 149162, 154795, 131397, 133107, 138158, 142103, 145123, 148860, 155678, 129045, 134525, 137094, 142815, 148088, 149280, 155971, 130180, 134069, 137940, 141423, 148515, 148883, 154264, 132127, 136167, 137264, 144247, 147077, 150889, 155132, 130147, 134677, 139895, 142893, 145436, 149146, 153143, 128289, 135633, 136962, 141995, 145647, 152162, 154318, 129601, 132855, 137014, 144118, 148214, 152103, 156646, 130929, 132405, 138881, 143311, 145677, 148907, 154294, 130751, 135693, 139077, 142957, 145053, 151292, 153737, 131543, 133371, 139228, 143614, 147115, 149781, 155893, 129738, 134082, 137699, 142501, 147613, 152696, 155727, 131397, 132369, 136658, 141952, 147525, 150049, 155237, 129813, 132835, 138272, 143703, 147298, 149556, 154707, 128597, 134094, 140012, 144433, 148106, 152494, 155718, 130124, 135904, 137031, 144284, 148152, 149696, 153253, 129667, 135237, 137158, 141446, 145237, 149477, 153258, 129423, 135796, 136673, 144574, 145687, 151970, 156667, 129575, 135599, 138339, 140675, 145062, 151555, 155898, 128652, 134776, 139604, 144159, 145177, 152831, 156260, 129552, 135214, 140101, 143659, 146860, 149639, 156677, 128354, 133771, 140359, 143012, 145748, 150355, 154648, 131397, 133077, 139176, 143272, 147000, 152709, 153359, 129813, 133763, 137158, 141069, 146051, 151491, 155762, 130124, 133374, 136553, 141805, 146239, 151508, 155428, 129813, 135859, 139343, 144509, 147359, 152466, 153943, 131039, 134143, 137547, 140714, 145948, 150814, 154040, 129813, 135265, 137427, 141533, 147915, 148818, 156334, 128714, 133460, 137404, 144046, 146886, 152735, 156001, 128812, 135861, 138510, 141241, 145816, 150057, 156235, 129286, 135458, 136694, 141732, 145324, 152822, 153066, 131397, 136165, 139511, 144517, 145756, 149538, 156250, 129813, 133077, 139026, 140754, 147359, 152114, 152981, 131397, 132671, 139730, 142940, 147762, 151278, 156922, 129552, 135147, 139766, 141299, 147054, 149433, 154083, 129575, 135061, 140521, 140727, 148149, 149433, 154288, 128956, 134247, 138412, 143637, 146104, 151419, 153880, 128557, 133231, 140184, 141140, 147650, 151179, 155886, 129667, 132506, 139350, 140779, 147359, 152649, 153257, 129286, 132468, 138233, 144337, 144907, 150781, 155695, 129385, 132414, 138834, 143401, 146284, 150215, 153610, 129898, 134413, 137709, 141518, 147279, 150292, 153930, 130929, 132756, 138576, 140697, 146284, 152790, 155691, 130255, 136062, 138872, 144457, 147988, 151704, 153358, 132247, 134098, 137794, 141855, 144721, 152348, 154120, 128258, 128262 ]

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

[ 128259, 128000, 89167, 587, 17372, 101116, 9188, 105039, 103880, 37303, 20920, 41990, 111857, 107388, 108525, 27615, 115301, 121681, 4355, 24318, 109819, 15606, 110693, 108102, 121115, 4168, 541, 84, 13, 128009, 128260, 128261, 128257, 131762, 136066, 137418, 143712, 145153, 152736, 155730, 129667, 133231, 138403, 142579, 147525, 149923, 154917, 129813, 133511, 137671, 142399, 144664, 148779, 154106, 132106, 132865, 137830, 142822, 146138, 149295, 154707, 131397, 133642, 139194, 143324, 148595, 150319, 154663, 129718, 132874, 139294, 144227, 147233, 151538, 155010, 128634, 136001, 138462, 141828, 145695, 152835, 156838, 128850, 134363, 136651, 143247, 146176, 150921, 155349, 131397, 135627, 136518, 144564, 148673, 152737, 155985, 129644, 135432, 136795, 140578, 147635, 152434, 156167, 128634, 134256, 137508, 144444, 144977, 152779, 156853, 130282, 135644, 139415, 142317, 145756, 149941, 155436, 129045, 132897, 140368, 141819, 145943, 152319, 154463, 131670, 135522, 137531, 143299, 145687, 151622, 152853, 131103, 135804, 136469, 144043, 145517, 150712, 155029, 132234, 134827, 136753, 144411, 146746, 151132, 156629, 129667, 135237, 136987, 142456, 148562, 149847, 156490, 131397, 133175, 138368, 140644, 147594, 150902, 153397, 130590, 135287, 139953, 143389, 148174, 151704, 152992, 130094, 134595, 137096, 143614, 145044, 150059, 155104, 131534, 135889, 136970, 143753, 145794, 151704, 153228, 129055, 135193, 137781, 141043, 146919, 150168, 156264, 130929, 134582, 138139, 144079, 147159, 151714, 154356, 130185, 134151, 138227, 143720, 146162, 149933, 156455, 129080, 135660, 138001, 142016, 147359, 151538, 153207, 131104, 135347, 137008, 140654, 146407, 149284, 153136, 128634, 134687, 136616, 141407, 145487, 152062, 153389, 128889, 133971, 139078, 143041, 146294, 151100, 153488, 129667, 135377, 138766, 143656, 144972, 149494, 156607, 128634, 134404, 139505, 143762, 148352, 151508, 154254, 131397, 134552, 139169, 140685, 145281, 151236, 154079, 131778, 134637, 140385, 141125, 148658, 148971, 156294, 129667, 134525, 139687, 142596, 144915, 150906, 156632, 131543, 135416, 140549, 142282, 148350, 152549, 155772, 132103, 136308, 139106, 144205, 146001, 151323, 156026, 130418, 134087, 138447, 142123, 148646, 152162, 154090, 131000, 134258, 138474, 142975, 145203, 150639, 155646, 129667, 136297, 137742, 141137, 146281, 150406, 156334, 129718, 135825, 139134, 142404, 146853, 150762, 155395, 129667, 133407, 137662, 143138, 147525, 151362, 156584, 131397, 134138, 137879, 142889, 144830, 149934, 156140, 128593, 133655, 140073, 141226, 148350, 151273, 154676, 128956, 133543, 136473, 141627, 144664, 152197, 155340, 131636, 134549, 138555, 142480, 148518, 149167, 155061, 131397, 136161, 139535, 143047, 146297, 150537, 156300, 131188, 133993, 136560, 140689, 145041, 152311, 154650, 132146, 132470, 136907, 142786, 147166, 151615, 155315, 130860, 135990, 137502, 143976, 144686, 151992, 156458, 128555, 133607, 140061, 143298, 148152, 152649, 153279, 131188, 132369, 137047, 143148, 147610, 151698, 156197, 130043, 133780, 139733, 144126, 148177, 152731, 154304, 131397, 135153, 138569, 142984, 147304, 149685, 155033, 129466, 135617, 137504, 141846, 144782, 150857, 153523, 129286, 134278, 138488, 141615, 147746, 152565, 154812, 130223, 132369, 140101, 142216, 146448, 149603, 154937, 131188, 133085, 138844, 144179, 145748, 152202, 153615, 130223, 134561, 137137, 142937, 145462, 150273, 154587, 130847, 135458, 140000, 140899, 145430, 150471, 156216, 129552, 135458, 138990, 142355, 147401, 150234, 156500, 128956, 136197, 139187, 141672, 147951, 151395, 154227, 130223, 135857, 136701, 143008, 146105, 149686, 156711, 129552, 136307, 139600, 142321, 148562, 148952, 153483, 130928, 135564, 136667, 142987, 146840, 152831, 153604, 131840, 136294, 138920, 144545, 148261, 149436, 155264, 132172, 132826, 138835, 141327, 145228, 151877, 155598, 130013, 136247, 136477, 142132, 146033, 148893, 153178, 131652, 134669, 136808, 143167, 147861, 151525, 155902, 131223, 133320, 139293, 141955, 145834, 149997, 156000, 130591, 133274, 139416, 141976, 147076, 149358, 154319, 128258, 128262 ]

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

[ 128259, 128000, 1966, 84, 109637, 84668, 2629, 77885, 5169, 84826, 103024, 57398, 113320, 259, 3862, 21486, 3862, 104552, 62788, 273, 418, 1609, 34143, 278, 91166, 277, 68945, 31285, 11257, 82, 98410, 5320, 101564, 98410, 117683, 11, 453, 352, 100814, 15606, 106677, 472, 3862, 11, 101564, 98410, 77193, 103795, 93171, 451, 58112, 110693, 359, 3209, 58804, 2448, 12778, 11, 22841, 2448, 81906, 83000, 107347, 86654, 15606, 112768, 49621, 325, 2727, 105307, 109294, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 132151, 134098, 137952, 140709, 145964, 150047, 155108, 130412, 132772, 137985, 141432, 147136, 152367, 152902, 129738, 132471, 140426, 141504, 145516, 151330, 155433, 130475, 134705, 136740, 144517, 146993, 149685, 156675, 130881, 134633, 137330, 142030, 146400, 151515, 153385, 129116, 135511, 139518, 140640, 144657, 148909, 155744, 131826, 132684, 140150, 142695, 144972, 151766, 156174, 132265, 135946, 138105, 143145, 146742, 149307, 156519, 131447, 135887, 137432, 143221, 145695, 150547, 154673, 129045, 135221, 138596, 141807, 146732, 152734, 156607, 128578, 133033, 139603, 141439, 147996, 150978, 152844, 131397, 134811, 139739, 144626, 145123, 149443, 156174, 129667, 134274, 138027, 140632, 145413, 149692, 155762, 129045, 132818, 136916, 142546, 144713, 151648, 153702, 129106, 134811, 140124, 143212, 146787, 152500, 154694, 132193, 133226, 138959, 140772, 146512, 149195, 153320, 128683, 135061, 139971, 140782, 148327, 149618, 153732, 132238, 135986, 138531, 143000, 145885, 150670, 153991, 132265, 135034, 137323, 144344, 144664, 148918, 153277, 128761, 132771, 140488, 141752, 144763, 152755, 156634, 129273, 135126, 137800, 142212, 147646, 152343, 154187, 129738, 132949, 136658, 144245, 145237, 151941, 154517, 129667, 135311, 139505, 142214, 145620, 151247, 154731, 130487, 135010, 138228, 143020, 147730, 150144, 154096, 132193, 135347, 138370, 141485, 145418, 148753, 156815, 128592, 135497, 138121, 143167, 144664, 152404, 154819, 131035, 135328, 137738, 141949, 144759, 149718, 155426, 130124, 134951, 140439, 143046, 146665, 149215, 155936, 130442, 135261, 139473, 140870, 148350, 152739, 156500, 130282, 134591, 140120, 143468, 146394, 150554, 154792, 128945, 134705, 138139, 142916, 145740, 152338, 154248, 131398, 132840, 139987, 140667, 148384, 149455, 155936, 129385, 136230, 137769, 142504, 148192, 151365, 154407, 129045, 133587, 138300, 141691, 147730, 151291, 154807, 128945, 134825, 140034, 141524, 146583, 152426, 155582, 130223, 134390, 140511, 142369, 147502, 152319, 152905, 128652, 132369, 139577, 142100, 145988, 151459, 155020, 131039, 133282, 138713, 144547, 147837, 150831, 155490, 129552, 132653, 140421, 140920, 144972, 150191, 154648, 132265, 134467, 137351, 142303, 146949, 149969, 153576, 129423, 132633, 136616, 140904, 144972, 151134, 153025, 130702, 134861, 137761, 141935, 147400, 152232, 154003, 128634, 136064, 139792, 141320, 147057, 152234, 153247, 129714, 135461, 137744, 144457, 147210, 149250, 156317, 129718, 133064, 138181, 141070, 145298, 150118, 155214, 130702, 133303, 138023, 144037, 146357, 149568, 156709, 129423, 136161, 139874, 142896, 145237, 149443, 152993, 130296, 132769, 140222, 140874, 147785, 150888, 156317, 132106, 133235, 139213, 142710, 147239, 150898, 154606, 130124, 134511, 139286, 142579, 147239, 152275, 155863, 128945, 136078, 138695, 144285, 146409, 148942, 154178, 129045, 136284, 136473, 144394, 146813, 151654, 153632, 131543, 134712, 137508, 142299, 148352, 149956, 156292, 130223, 135767, 138096, 144581, 146678, 149783, 154288, 128969, 136046, 137130, 141228, 144972, 148809, 153909, 131114, 135059, 136514, 141235, 144782, 151134, 153255, 128969, 135197, 139393, 144169, 145695, 149839, 156547, 128634, 133407, 136539, 140734, 145695, 151017, 152897, 130619, 132457, 136574, 142533, 145716, 149096, 156474, 131543, 135282, 139135, 143222, 144657, 150032, 153866, 131397, 135237, 140156, 141840, 147791, 149295, 153300, 132193, 135126, 138835, 144289, 144831, 152739, 156365, 129981, 135116, 139558, 142362, 145423, 151169, 154423, 131286, 135665, 139332, 142214, 147953, 152171, 153634, 129286, 134424, 139289, 144231, 146901, 150369, 155138, 131543, 132684, 140215, 143885, 148234, 152624, 155455, 131397, 134288, 140430, 141764, 145695, 151960, 154173, 128634, 132684, 137878, 142822, 145588, 149783, 156763, 130223, 135282, 137404, 144540, 147953, 150105, 155131, 129045, 132369, 138237, 142703, 147933, 151054, 155451, 131104, 136385, 137432, 141380, 147730, 151884, 156629, 129667, 135237, 138193, 141500, 145695, 151046, 156171, 131188, 133300, 140298, 142468, 147166, 151504, 154513, 129045, 133146, 139667, 143338, 145828, 150830, 156505, 131670, 136408, 138528, 142132, 148145, 151828, 154806, 129045, 135076, 137359, 142600, 146813, 150971, 156070, 130096, 132835, 137508, 142529, 145515, 151715, 155368, 128652, 136197, 137610, 141691, 148152, 152039, 154465, 128266, 132877, 137446, 142139, 148198, 150059, 155993, 128469, 132434, 139595, 142097, 148530, 151726, 156723, 132063, 133112, 138325, 142718, 148610, 152094, 155994, 129898, 133675, 139256, 140839, 146566, 152310, 154715, 130929, 134512, 138408, 144334, 145511, 149288, 156032, 129273, 133068, 136854, 144331, 145687, 150691, 154242, 128520, 136292, 139820, 141302, 144972, 149833, 155282, 131543, 134712, 136903, 143765, 148352, 151399, 155817, 132146, 132874, 137548, 141265, 148393, 150035, 155987, 129552, 134365, 140300, 144352, 144657, 152315, 154248, 129288, 133771, 138240, 141594, 145729, 149248, 153071, 128634, 133817, 136743, 142385, 144657, 150758, 155863, 128945, 134129, 138067, 141016, 146879, 150755, 156699, 130457, 132628, 139768, 142682, 144893, 149655, 155085, 131035, 135503, 139684, 143713, 146887, 149745, 155248, 132193, 134188, 138661, 143672, 147311, 151141, 156387, 129738, 134552, 137728, 141629, 145503, 150328, 154163, 131543, 135949, 138643, 141009, 145505, 150464, 153635, 130096, 136230, 139904, 144406, 148163, 152745, 156834, 128945, 135442, 136974, 143698, 147730, 152834, 153932, 129288, 136064, 138599, 144151, 147397, 150288, 154879, 132293, 132925, 140508, 142698, 148696, 148938, 154599, 130835, 136270, 137037, 141708, 148610, 152647, 155737, 132063, 132756, 138490, 142976, 146707, 149302, 156699, 128275, 133123, 138753, 141235, 146477, 149783, 154124, 128343, 135265, 139799, 142417, 144745, 152234, 155185, 129045, 132975, 137582, 144160, 146454, 151942, 154166, 131222, 135370, 138409, 142807, 147093, 150822, 155766, 129718, 133099, 138131, 142379, 145413, 152104, 155165, 129116, 135126, 140336, 144130, 147414, 150711, 155243, 132116, 134190, 140256, 144460, 146766, 149755, 154858, 129045, 134965, 138474, 140821, 148364, 151379, 153234, 129718, 136064, 140546, 144063, 148352, 151896, 154976, 129924, 134063, 136895, 142558, 145670, 151267, 153877, 131543, 134776, 140550, 144503, 147525, 149199, 155242, 130124, 132865, 139294, 143421, 148691, 149595, 154433, 131397, 132865, 139317, 144300, 146840, 151114, 155103, 129575, 133125, 137830, 143013, 144788, 148954, 155936, 129045, 132520, 138437, 142620, 144972, 151042, 153276, 129935, 134287, 137577, 142611, 147554, 150672, 156547, 128761, 134263, 137280, 143702, 144954, 149427, 153883, 128606, 134855, 138160, 142836, 148133, 149072, 156152, 131773, 135285, 137502, 142018, 146701, 152548, 154037, 129367, 135511, 139416, 142474, 147487, 151583, 153504, 129667, 136039, 138343, 142984, 146442, 151388, 153131, 128884, 135261, 136861, 144302, 147035, 152688, 152876, 129667, 133190, 138127, 144394, 147525, 150788, 154808, 131188, 135921, 137408, 141685, 148397, 150255, 154286, 128597, 134993, 137921, 144557, 145580, 151093, 154227, 131397, 135061, 138228, 142123, 144657, 150876, 155305, 130147, 135921, 138352, 141193, 147771, 151160, 155560, 130124, 132542, 138625, 142896, 146426, 152332, 155024, 131397, 136054, 139644, 142079, 147435, 151074, 156777, 129735, 135880, 139578, 143663, 145153, 152676, 154781, 130124, 133407, 138908, 143787, 148352, 150685, 154855, 129068, 135579, 138665, 143683, 148432, 151704, 155936, 130713, 133975, 138720, 144475, 145400, 151674, 155189, 130835, 132508, 139587, 143464, 147499, 148819, 155436, 130178, 133361, 139095, 144519, 147019, 150633, 155624, 128477, 134360, 139238, 143089, 147281, 150814, 155055, 129048, 135498, 136747, 142680, 145183, 150755, 153722, 131543, 133517, 139068, 143565, 147397, 152162, 156082, 131397, 133368, 138237, 141084, 146365, 149583, 154035, 128850, 132565, 138172, 142075, 148327, 152724, 155954, 128634, 132972, 139847, 141885, 148352, 148750, 156527, 129738, 134312, 138786, 140952, 146824, 148877, 156607, 130124, 133407, 139446, 143838, 146417, 151892, 154279, 131188, 132369, 139418, 141467, 146583, 151509, 156380, 130223, 132369, 139598, 140594, 148673, 149208, 153206, 129718, 135210, 136875, 140991, 144657, 151244, 153377, 128555, 136225, 137267, 141966, 147624, 150714, 154272, 129718, 134160, 136564, 141611, 147914, 148772, 154153, 132103, 133263, 140071, 141541, 147605, 150408, 156885, 130223, 136046, 137037, 142781, 145695, 152429, 154491, 129667, 134031, 140513, 141320, 145153, 150144, 155762, 129813, 133403, 137552, 144217, 144819, 149767, 154430, 131530, 134498, 136618, 144540, 146564, 150061, 153513, 129667, 135503, 136827, 142152, 147646, 151884, 152895, 131543, 134512, 140324, 141616, 146211, 150666, 153561, 129896, 135442, 139849, 142533, 145763, 152280, 155597, 130465, 135497, 138127, 142246, 146281, 150767, 153763, 131397, 134508, 137125, 142669, 147948, 150377, 155046, 128578, 136454, 140451, 144222, 145809, 151814, 155278, 131543, 136046, 140443, 142720, 145695, 149363, 156076, 131505, 135340, 137876, 143643, 145014, 149392, 156784, 129601, 133359, 137899, 143464, 145647, 149873, 155677, 132028, 134457, 138809, 141097, 144804, 152686, 155388, 130255, 133507, 137707, 141940, 145795, 152667, 156845, 128868, 134916, 139937, 142810, 146386, 152723, 154697, 128258, 128262 ]

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

[ 128259, 128000, 42, 18826, 44386, 45949, 126587, 18578, 344, 2230, 1609, 2002, 5320, 126347, 45949, 113509, 45949, 101565, 5964, 276, 85226, 3721, 258, 103838, 597, 90513, 1029, 277, 102918, 62594, 12657, 27615, 24318, 472, 86654, 11018, 113340, 112814, 23960, 342, 1468, 1609, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140403, 142067, 146405, 151378, 156714, 131543, 136431, 139933, 140801, 146813, 152670, 153070, 132106, 136445, 139919, 143829, 147279, 150949, 156345, 129496, 132684, 137303, 143136, 145106, 151909, 153246, 129423, 134633, 137711, 141824, 146461, 151296, 155604, 128433, 133145, 139842, 142404, 145165, 149012, 153386, 131397, 134951, 139247, 142721, 147829, 151999, 153226, 130435, 133465, 139276, 140971, 145861, 152535, 155937, 128969, 133407, 137636, 141496, 144745, 150942, 153513, 128652, 132889, 140282, 141691, 147639, 152251, 156645, 129399, 134520, 137781, 142676, 146568, 150737, 156835, 128634, 135498, 138266, 140957, 145612, 151702, 155219, 131397, 135148, 139324, 143232, 147414, 150105, 155511, 129718, 135343, 139620, 142453, 145177, 151956, 156442, 132146, 135626, 138858, 141016, 148193, 152523, 155215, 128634, 135126, 138027, 142870, 144896, 149813, 155800, 129973, 132494, 137614, 143702, 144680, 151006, 156547, 129045, 133146, 139556, 141819, 146174, 152734, 154648, 129667, 133146, 139607, 142951, 146240, 149840, 155237, 129813, 133403, 136644, 140850, 145255, 152536, 153879, 131188, 133407, 136990, 140901, 145695, 149832, 156004, 128969, 135551, 138034, 141009, 146426, 151235, 153909, 130336, 133033, 139136, 141651, 148199, 151667, 153437, 129813, 136292, 137864, 143462, 147939, 149391, 154991, 129718, 134138, 140144, 143603, 146138, 149530, 154768, 131543, 133362, 138805, 141717, 147791, 149868, 156918, 131014, 132717, 139999, 142951, 145014, 151142, 154160, 128969, 133702, 139646, 144048, 144745, 149295, 153761, 128652, 132457, 137490, 142519, 145695, 150738, 154683, 131543, 135403, 139202, 143712, 148716, 150514, 156725, 129273, 135328, 139786, 144134, 144880, 150339, 153176, 131543, 134210, 140467, 141399, 147239, 151108, 156267, 129575, 135282, 137276, 143851, 148152, 149711, 155315, 132103, 132381, 139931, 141031, 145924, 151806, 154821, 131543, 136152, 139138, 141106, 145106, 151209, 154587, 129738, 133043, 139176, 140614, 147635, 152714, 155980, 131035, 135221, 137060, 143653, 148346, 148859, 156375, 132193, 134621, 136676, 142016, 146544, 151743, 156071, 129667, 132949, 139866, 143783, 147635, 151330, 155145, 131826, 133495, 138740, 144541, 146936, 149100, 153100, 131505, 133146, 140336, 141960, 147316, 149697, 155945, 130394, 132784, 138880, 144604, 145468, 150112, 155936, 129848, 134593, 136970, 143909, 145371, 152550, 154264, 130670, 136167, 140204, 141555, 147198, 151699, 154919, 132103, 132494, 138125, 143472, 145967, 151129, 154801, 128634, 136161, 137929, 144067, 145695, 149813, 156038, 129667, 135199, 138625, 144305, 145263, 148801, 154173, 131826, 134586, 136968, 140797, 144782, 149835, 153751, 131543, 136105, 140431, 144010, 145760, 152122, 156253, 130321, 132889, 138435, 143947, 147727, 151070, 155467, 128592, 135947, 136721, 144382, 146156, 149695, 154651, 130124, 134267, 138839, 143456, 146454, 150081, 153706, 132193, 134478, 137893, 143511, 148333, 149195, 155728, 129667, 136369, 138766, 141484, 145344, 152511, 154237, 130124, 132889, 137404, 142879, 145434, 150016, 154039, 131188, 132369, 138256, 142100, 146692, 149136, 153792, 129552, 135442, 140291, 141156, 145695, 148757, 156805, 131397, 136257, 139712, 141399, 146900, 152161, 154633, 128945, 135442, 140321, 142490, 146486, 152338, 155239, 128779, 135807, 138449, 143345, 147035, 149200, 155074, 128969, 136369, 138292, 142581, 147414, 149335, 153513, 129718, 132457, 137639, 143529, 147093, 152806, 155260, 131141, 134319, 137053, 144205, 144953, 151910, 156745, 131543, 135124, 140121, 140887, 147635, 151081, 156380, 129273, 134848, 140167, 141977, 145128, 151083, 155079, 129496, 134299, 140437, 141504, 144775, 150771, 154112, 128543, 135347, 138155, 140832, 147720, 150315, 154277, 130321, 133636, 140265, 143227, 147997, 151835, 154788, 128969, 132975, 136755, 140598, 144745, 149772, 153607, 128578, 133713, 139220, 143172, 146385, 151471, 154388, 131543, 132807, 138727, 141618, 147751, 151504, 153471, 129045, 134720, 138240, 144004, 146840, 151374, 155986, 130702, 132461, 137751, 141523, 145812, 150731, 153271, 128945, 135975, 136564, 143456, 148152, 152057, 156152, 132146, 133385, 140033, 142622, 146364, 150554, 155612, 129813, 134489, 136652, 142073, 147915, 151247, 153634, 130417, 135061, 138819, 142507, 147330, 149801, 154420, 131397, 134970, 138024, 143782, 146376, 149194, 154240, 128945, 135125, 137383, 144418, 147730, 151398, 155735, 131397, 133495, 137415, 143663, 146293, 151324, 153372, 130124, 133146, 138985, 144644, 144972, 151967, 155307, 132103, 134973, 137763, 142130, 147242, 152040, 155185, 131397, 133993, 138553, 144197, 145695, 150463, 153038, 131039, 132385, 136598, 141003, 148696, 151568, 156699, 131188, 135206, 140364, 142216, 145516, 151606, 154504, 131543, 136284, 136914, 142752, 147401, 152603, 156748, 128652, 134428, 140339, 143371, 147311, 149310, 153483, 129472, 132865, 139008, 141133, 145923, 152068, 154040, 131035, 134160, 138034, 142325, 147494, 151146, 154158, 131575, 133382, 139813, 140643, 144865, 148975, 155665, 130282, 133975, 139415, 143611, 144749, 151705, 156164, 130096, 135112, 140077, 142672, 146554, 150416, 153006, 130670, 133441, 136544, 143028, 148549, 149044, 156439, 128275, 135317, 136483, 143145, 145812, 151753, 154321, 131223, 133745, 136667, 140940, 146843, 151473, 154879, 130591, 134242, 139815, 142324, 148559, 152362, 153802, 128258, 128262 ]

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

[ 128259, 128000, 11916, 3862, 15606, 106989, 4355, 120598, 109982, 342, 108398, 85226, 108432, 119321, 122061, 1354, 301, 34143, 278, 93687, 80726, 124217, 47879, 102219, 112137, 102265, 409, 44907, 7370, 10462, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 132151, 134098, 138026, 143976, 147076, 152348, 153598, 130591, 135280, 137341, 141972, 148449, 152701, 153070, 129423, 134705, 137412, 143428, 148231, 151425, 155436, 131328, 134161, 138113, 141884, 148045, 148786, 153642, 129288, 136310, 139409, 141846, 146797, 152155, 153866, 128634, 135148, 136875, 144041, 147485, 149776, 155089, 132146, 132471, 139407, 142293, 148636, 151883, 155288, 130336, 132572, 137662, 143912, 147008, 148802, 156219, 129738, 134848, 138846, 143138, 147498, 149539, 154074, 130321, 135652, 139944, 142842, 145515, 150136, 155547, 130124, 135229, 139167, 143228, 148055, 150792, 154369, 128850, 132471, 138489, 143746, 144942, 150907, 155266, 131397, 136039, 139411, 144286, 147862, 150533, 155426, 128969, 135459, 140507, 140679, 146105, 152409, 153006, 129718, 134160, 138860, 141580, 145177, 150166, 154276, 129924, 133771, 140159, 141944, 145038, 148784, 156631, 129738, 134937, 136473, 143558, 147564, 151141, 155500, 130589, 135023, 139418, 140989, 148367, 150063, 154286, 129876, 134500, 139504, 142863, 145091, 148768, 155981, 129813, 135237, 138067, 140901, 148585, 152198, 156071, 131397, 135921, 138827, 140679, 146505, 151785, 152873, 132193, 136064, 137120, 141996, 146840, 149708, 154083, 131397, 134138, 137856, 141952, 148275, 149307, 155535, 129981, 132880, 138728, 143639, 145118, 151272, 156841, 131397, 134848, 139616, 143299, 145153, 149477, 153755, 129667, 133836, 137967, 140907, 145223, 149786, 155288, 128652, 135088, 138355, 143052, 147509, 149999, 153755, 131126, 136292, 139522, 143411, 145543, 149679, 154872, 129496, 136167, 138704, 144318, 146364, 152264, 154112, 131014, 132865, 139033, 140748, 147581, 149177, 153178, 130702, 133891, 137441, 144255, 147166, 149132, 154185, 128945, 135229, 137782, 142030, 147166, 149663, 156102, 130039, 135800, 140157, 140868, 144758, 151907, 154074, 129756, 136454, 137340, 141919, 145545, 149588, 155124, 129667, 135237, 139203, 140614, 146813, 149692, 154273, 131397, 135126, 137761, 143411, 144657, 152632, 153910, 130321, 133178, 136598, 143677, 148424, 151119, 154683, 129572, 135921, 140031, 144002, 144805, 152756, 153734, 129273, 132684, 138558, 141930, 144745, 150315, 155426, 132116, 133583, 140173, 142570, 145919, 150027, 154912, 129045, 133540, 139264, 141084, 145434, 149652, 155637, 129273, 135911, 139874, 142379, 146732, 151241, 156334, 132193, 134777, 140235, 143247, 145919, 149253, 154858, 128592, 134376, 136954, 140830, 145875, 152627, 153979, 129273, 134951, 139969, 144349, 147665, 151873, 154529, 129575, 133795, 139428, 141379, 146448, 150156, 154476, 129286, 135503, 139286, 140896, 147228, 150016, 153434, 129813, 135300, 138783, 140773, 148617, 149429, 153113, 129572, 134546, 136504, 143712, 146138, 151208, 153291, 129718, 135253, 138472, 142345, 145177, 148861, 155256, 130276, 135404, 137242, 140587, 145528, 149741, 156249, 132146, 134612, 140379, 141348, 146426, 149335, 156418, 131160, 133985, 138718, 141759, 147517, 150837, 155537, 131014, 133968, 137468, 144182, 147404, 150289, 155097, 129496, 135347, 137130, 142984, 145106, 149016, 156720, 131188, 134433, 139972, 142989, 147704, 148811, 155822, 128812, 134591, 140182, 141984, 147228, 150355, 155047, 128945, 132622, 139869, 144136, 146448, 151097, 155992, 129575, 132369, 138654, 141063, 145279, 150658, 155006, 131039, 134277, 137280, 141492, 144740, 149913, 156088, 128634, 135474, 136853, 142177, 146401, 151118, 154512, 132098, 135112, 139276, 144222, 146105, 148904, 156910, 129045, 133324, 138182, 143122, 147994, 149368, 153053, 131543, 136372, 140385, 141457, 145695, 148909, 153975, 130223, 132369, 137438, 140953, 148350, 150672, 153816, 132146, 135904, 138439, 142216, 145177, 151414, 154242, 128584, 135503, 138355, 143414, 148424, 150513, 156648, 128952, 134138, 139600, 141221, 147604, 152080, 155848, 130321, 132702, 136861, 141771, 146209, 152173, 154379, 129045, 134457, 138074, 142963, 148424, 152347, 152894, 131409, 135404, 138801, 142335, 144782, 149243, 154124, 130178, 133975, 140339, 141058, 148097, 152603, 154228, 129243, 133240, 137152, 141869, 148146, 150187, 156819, 130255, 135403, 138720, 141616, 148359, 148780, 156908, 131529, 136223, 139426, 142810, 147259, 152723, 154697, 128258, 128262 ]

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

[ 128259, 128000, 9470, 41990, 1077, 61576, 116399, 68945, 110031, 76, 100500, 541, 84, 13, 507, 4355, 124088, 117405, 7370, 101488, 13608, 14991, 108111, 13835, 3067, 113417, 4168, 541, 84, 13, 38807, 273, 5979, 11, 52119, 19059, 450, 5320, 110250, 102338, 106760, 1029, 277, 4355, 11018, 54740, 297, 1316, 64, 342, 12558, 88, 541, 84, 13, 128009, 128260, 128261, 128257, 132151, 135924, 137439, 141562, 148731, 151002, 153271, 132191, 133052, 136855, 142286, 144907, 151528, 155429, 129496, 132769, 139315, 144081, 147792, 152771, 153625, 132193, 133332, 136607, 143608, 147074, 150220, 154304, 129286, 136083, 139487, 143767, 146678, 152152, 152875, 132193, 133765, 139806, 140556, 147297, 152208, 156180, 131543, 133655, 140196, 144292, 147336, 150636, 156740, 128520, 134160, 139425, 143427, 146770, 150800, 156200, 131778, 132684, 136816, 140790, 146587, 151924, 154656, 131397, 134586, 138119, 144536, 148554, 149060, 153894, 131619, 134633, 138569, 143027, 145298, 150282, 155860, 129045, 134861, 138827, 143096, 147194, 152002, 153423, 131543, 132700, 138579, 144016, 147306, 150292, 154571, 129738, 135627, 138148, 144149, 147792, 152051, 156749, 129273, 135796, 137941, 141346, 147406, 148908, 153962, 132193, 135126, 139438, 144489, 146023, 149987, 153258, 131397, 134552, 136871, 142919, 147359, 148791, 155387, 128889, 136239, 137728, 141966, 147136, 149418, 155782, 131397, 134422, 137022, 140923, 147792, 149975, 155535, 129286, 134051, 139484, 140989, 145349, 149608, 156087, 128945, 134951, 137168, 142004, 146663, 150354, 155840, 131398, 135285, 138481, 143534, 146745, 150038, 154134, 131652, 133105, 139309, 144175, 147823, 152367, 155891, 131223, 133320, 137412, 143565, 146953, 152367, 154178, 129214, 134665, 139507, 142672, 144859, 152667, 153751, 132318, 132987, 138041, 141118, 145736, 151904, 156754, 129572, 133914, 139624, 143261, 147792, 152135, 153761, 131035, 135504, 138888, 143970, 148084, 151776, 156453, 130673, 133938, 137303, 141952, 145237, 152511, 155511, 131826, 135276, 139645, 143979, 147525, 150016, 155343, 129813, 135237, 140348, 142505, 147136, 148946, 154250, 131397, 133928, 138711, 142558, 148437, 150382, 156632, 129738, 134525, 139829, 141149, 147569, 151219, 154705, 132098, 134365, 138782, 144040, 148667, 152382, 152930, 131543, 135904, 138144, 141578, 147730, 152482, 154737, 129552, 136149, 140271, 141253, 145153, 150491, 156911, 131397, 135126, 139383, 144046, 148106, 152426, 154095, 130829, 135654, 139200, 144457, 144783, 152096, 155657, 128634, 135034, 137485, 143696, 146188, 150623, 155435, 129667, 132495, 139874, 141795, 145748, 151330, 155426, 129735, 135347, 139203, 140773, 146840, 151631, 156655, 131397, 133540, 138808, 141651, 145158, 152075, 155818, 129718, 136136, 138571, 141974, 147314, 152769, 156076, 131114, 134390, 139276, 144222, 144971, 150322, 152882, 131397, 133817, 139576, 143810, 147525, 152584, 156383, 131778, 135237, 138888, 144096, 146729, 152051, 155277, 131035, 133906, 137892, 144425, 145612, 149891, 153691, 128634, 135461, 137775, 143541, 145080, 152005, 153372, 129286, 135818, 139176, 142135, 147031, 151054, 156588, 129813, 133649, 139976, 143438, 147359, 152171, 152895, 130336, 135358, 140143, 141137, 144972, 151855, 155587, 128634, 135258, 138365, 140618, 146156, 150495, 153326, 131543, 132930, 139280, 142566, 145760, 152061, 156448, 131397, 134951, 139126, 141426, 146752, 152767, 156360, 129667, 135710, 138552, 143000, 148384, 152731, 152930, 129045, 136192, 138645, 142142, 148320, 148757, 154379, 128560, 134825, 138048, 144482, 148051, 151366, 155822, 131652, 133891, 140499, 140912, 148086, 151160, 154254, 131044, 133996, 139205, 141664, 147526, 149496, 156763, 129221, 134593, 139847, 141288, 147605, 151705, 153219, 131158, 133891, 137844, 141465, 147428, 149988, 153659, 129618, 135354, 136683, 140750, 144657, 150272, 156403, 130039, 135347, 139689, 144374, 146728, 152614, 155215, 128634, 135386, 139613, 141450, 148352, 149408, 156508, 128652, 134012, 137962, 142674, 147730, 148874, 155690, 130223, 135665, 137878, 141974, 144749, 151313, 154318, 132173, 133570, 139874, 142622, 148702, 151784, 153953, 128969, 132889, 139570, 141840, 145648, 149452, 156540, 131035, 135626, 137132, 142489, 144949, 150351, 156573, 128945, 133236, 136564, 142313, 147166, 152667, 156676, 129045, 134160, 138393, 143965, 147320, 151398, 153002, 131397, 132936, 137291, 141092, 145434, 149932, 154083, 129667, 134720, 136824, 141824, 146220, 150217, 153149, 131817, 132617, 136598, 141272, 145919, 152776, 154912, 129045, 132520, 139077, 143671, 145298, 151955, 156079, 131035, 135214, 138667, 143427, 145056, 149043, 154044, 129045, 133468, 138576, 141368, 147730, 150711, 156666, 130702, 135626, 138604, 143019, 147481, 150051, 153421, 131667, 134637, 137985, 142658, 148658, 150444, 155511, 129667, 136297, 140183, 141600, 145057, 149676, 153042, 129738, 134499, 137856, 141265, 144734, 150471, 156084, 130321, 133597, 139425, 141003, 147488, 149314, 155082, 128520, 135958, 138127, 141623, 148207, 152005, 155004, 129575, 134166, 136579, 143782, 147239, 150138, 155132, 129718, 134306, 139650, 142687, 147077, 150524, 153287, 129667, 135864, 139567, 142854, 147525, 148806, 156852, 131397, 132865, 140426, 143499, 145434, 151975, 155426, 129575, 134337, 138800, 141609, 146426, 151657, 154093, 128893, 132818, 140297, 141795, 148196, 150234, 156699, 130847, 133685, 136619, 144098, 145237, 152153, 154587, 129045, 133279, 139044, 141137, 148562, 150524, 155549, 130282, 135655, 137761, 141044, 144783, 152321, 153452, 129286, 135564, 138118, 141888, 144657, 148818, 155787, 129813, 135237, 140393, 142650, 147525, 152536, 153687, 131530, 136257, 138385, 144557, 148169, 151119, 156217, 129813, 132504, 137761, 143223, 148231, 151702, 156145, 131114, 133403, 136865, 144457, 145794, 152603, 155157, 129472, 135665, 137891, 142393, 144756, 150843, 155013, 128969, 136270, 138474, 141873, 148437, 150852, 156137, 131397, 133952, 139973, 143700, 147545, 150325, 153341, 129667, 134732, 136748, 143407, 147937, 149519, 154168, 131397, 132774, 139280, 143267, 148400, 148942, 153782, 128956, 135066, 136704, 142036, 146919, 150170, 153768, 131652, 133996, 137497, 141069, 147823, 149897, 154612, 129221, 134468, 136687, 143231, 146756, 149022, 154611, 130255, 134922, 138872, 144576, 147925, 149713, 152948, 128868, 133089, 139416, 142176, 146386, 149294, 155013, 128258, 128262 ]

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

[ 128259, 128000, 9470, 41990, 15907, 8941, 27990, 118471, 117788, 1689, 47435, 297, 124095, 3178, 102847, 37947, 31146, 103024, 25506, 13, 107997, 127649, 125163, 107570, 106251, 2649, 15606, 110693, 84, 102082, 4168, 494, 96632, 46378, 64566, 15606, 8305, 42961, 747, 597, 7828, 33573, 100463, 13, 128009, 128260, 128261, 128257, 131187, 132788, 140046, 142697, 147029, 149381, 154587, 129106, 132684, 139162, 141408, 148650, 151957, 154915, 129718, 135856, 138699, 143610, 145224, 149552, 153642, 129045, 133285, 137434, 143886, 148138, 149250, 155460, 129981, 135005, 138690, 142820, 145947, 151272, 154562, 129045, 135626, 139819, 142516, 144657, 149583, 154885, 129036, 133958, 137322, 144411, 144894, 152225, 156012, 132193, 132606, 136875, 141673, 147635, 151417, 155230, 129080, 135237, 138483, 141149, 147525, 151379, 155170, 131397, 134951, 137974, 143624, 147525, 151435, 155645, 129045, 134525, 136644, 140622, 147509, 152500, 153920, 130367, 132865, 139526, 144543, 145123, 151530, 156675, 128460, 136092, 137120, 142236, 145924, 149548, 153833, 131543, 136274, 139098, 142585, 145783, 151799, 156563, 129575, 136149, 140251, 142986, 147730, 150846, 154134, 130282, 134166, 137276, 142696, 147016, 149610, 155799, 129575, 132490, 139363, 142954, 145965, 152167, 154266, 128945, 135442, 137364, 142784, 145057, 149679, 156809, 129575, 133226, 138437, 143424, 147502, 152622, 154108, 131397, 134211, 139783, 142007, 146127, 150176, 153861, 128634, 133407, 139714, 141012, 148231, 149306, 156763, 131188, 133333, 140055, 142069, 147502, 151733, 154755, 131397, 132504, 139941, 141926, 145123, 149417, 156818, 130147, 134070, 139262, 142329, 146179, 150136, 156770, 129080, 135708, 138437, 140760, 145442, 152264, 153892, 132042, 135873, 139165, 140637, 146627, 151563, 154960, 129572, 135076, 137388, 141966, 144706, 150792, 155203, 131553, 135864, 138959, 142807, 147953, 150265, 155243, 132042, 132949, 138819, 144394, 147015, 149836, 153934, 130204, 134980, 136889, 141003, 145139, 149521, 153653, 130881, 132826, 138402, 141473, 145613, 152489, 155660, 130362, 135670, 136789, 143309, 146409, 150269, 156282, 129496, 134349, 136968, 140871, 146840, 152313, 154888, 131397, 133801, 138264, 140824, 144946, 151566, 153788, 130418, 135949, 138895, 143788, 148381, 149147, 153038, 130928, 136126, 137398, 142545, 148327, 148955, 155275, 131397, 135237, 137233, 144260, 145299, 151278, 155216, 130928, 134821, 137137, 140679, 146281, 152018, 153318, 129070, 133227, 139652, 142758, 148742, 150342, 156925, 131447, 135138, 139025, 142197, 146589, 151470, 155524, 131543, 135237, 139258, 140765, 146222, 150656, 156257, 129601, 133359, 139669, 141480, 145881, 151241, 153796, 132293, 135862, 140055, 143943, 146409, 151197, 155436, 129221, 134413, 139739, 144356, 146881, 149997, 155519, 132318, 134555, 140206, 143829, 148731, 149325, 156746, 130998, 132646, 136619, 144466, 148327, 150863, 153418, 130147, 135919, 139790, 141151, 145922, 150167, 156342, 129667, 134804, 139042, 141446, 147892, 152403, 153542, 130412, 135747, 140534, 143782, 147658, 150016, 154272, 128634, 134422, 137233, 144640, 146692, 152753, 155208, 129589, 135026, 137097, 143851, 146426, 151046, 153243, 129667, 135148, 137711, 144602, 147646, 150539, 155433, 129813, 135071, 138786, 143763, 144876, 149702, 153111, 128827, 133331, 138467, 141265, 147944, 152370, 156699, 131987, 132516, 138644, 143197, 147988, 152256, 152931, 130824, 136442, 137264, 142676, 145650, 149520, 153228, 129221, 133635, 137896, 140676, 145812, 151595, 153178, 132318, 133745, 139035, 141890, 146506, 150187, 153223, 131687, 135354, 140191, 141038, 145928, 150210, 156328, 132193, 133941, 139549, 140871, 146991, 150422, 156282, 129667, 133650, 137337, 142363, 146993, 152238, 153573, 131397, 135258, 140344, 142230, 147397, 152679, 155569, 130321, 132385, 139981, 143020, 145344, 149081, 153932, 129644, 132695, 139608, 141076, 147967, 152753, 153059, 128950, 132496, 140472, 144411, 145277, 152804, 155049, 131223, 133996, 138462, 143911, 145608, 149856, 156866, 131391, 135948, 138331, 144405, 147477, 151775, 154918, 131333, 135915, 137198, 144006, 144883, 150824, 155151, 129070, 136113, 137226, 144040, 145951, 149464, 155988, 129667, 132890, 139508, 141946, 146226, 148946, 155484, 128606, 134705, 137498, 142690, 148133, 149729, 153523, 131543, 134512, 138512, 140883, 145610, 152688, 153145, 129575, 135442, 139796, 140742, 144798, 152380, 156445, 129045, 134525, 136692, 143602, 147943, 151643, 154248, 129288, 132787, 139718, 144438, 146653, 148882, 153189, 128652, 134160, 137527, 143395, 147730, 149873, 156327, 130124, 135082, 137523, 143969, 147027, 152404, 155742, 131755, 132497, 138767, 140888, 145299, 148758, 154479, 129080, 133283, 137404, 142789, 146824, 148960, 155572, 129161, 133726, 137846, 141720, 145505, 149005, 153716, 128981, 134989, 136473, 143827, 146889, 151838, 155505, 129288, 135511, 138688, 142489, 145437, 150431, 154546, 131286, 133452, 140248, 141254, 145114, 151464, 156788, 128652, 134150, 136513, 141987, 144657, 151377, 155708, 128634, 135071, 138084, 142845, 145301, 151342, 154672, 129080, 133442, 138693, 144072, 147635, 152676, 156584, 129667, 134274, 140497, 143258, 146755, 152718, 156607, 131039, 133319, 136584, 142901, 147085, 150816, 156723, 131532, 133441, 136473, 144333, 144778, 151307, 153340, 131543, 135503, 139833, 141573, 146454, 151440, 156060, 131817, 134188, 139944, 140802, 146015, 148994, 153002, 129667, 134160, 140440, 143883, 147525, 152701, 156334, 128545, 136040, 139378, 144504, 146532, 151231, 155151, 129845, 136092, 140253, 144285, 146366, 148988, 156243, 128634, 133305, 139510, 140594, 145695, 151944, 155235, 128804, 135060, 139528, 142293, 147400, 152527, 153416, 129388, 133089, 138228, 142547, 146763, 152333, 154650, 128634, 133817, 139850, 144378, 145351, 151582, 154153, 132173, 132900, 140121, 143801, 147230, 150554, 156365, 128652, 134754, 139438, 140991, 145648, 150942, 156373, 130096, 134448, 138394, 141563, 147724, 151825, 154134, 129472, 135140, 139606, 142356, 145695, 151041, 156676, 129718, 134805, 137089, 140660, 148514, 152328, 154401, 129496, 136289, 137376, 144394, 147869, 149626, 154938, 131397, 133544, 138889, 141653, 144895, 150759, 154303, 131104, 135237, 138924, 141306, 147359, 148988, 153051, 132146, 135949, 136664, 143884, 145530, 151800, 153152, 130321, 132470, 138179, 143172, 148724, 150959, 154485, 129045, 135893, 140126, 142620, 145695, 149433, 153268, 131505, 133132, 140414, 140574, 147823, 149254, 155607, 132293, 135926, 137750, 142026, 146179, 151424, 156190, 131044, 133524, 139011, 143648, 145306, 148756, 156463, 130878, 135847, 138760, 141058, 147988, 150132, 155616, 131529, 132433, 137524, 141855, 147259, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 33, 83921, 114117, 122448, 1759, 5308, 57398, 1167, 91650, 65544, 45921, 3223, 86654, 15606, 101872, 2438, 64, 124095, 96632, 126179, 63353, 5320, 107388, 109402, 49662, 34271, 27750, 11554, 6729, 111844, 12874, 18578, 63894, 121354, 38511, 101177, 35371, 116662, 49621, 8492, 4168, 541, 84, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154336, 128868, 134098, 138944, 140894, 144942, 152192, 154005, 129273, 135071, 140469, 143554, 145106, 151929, 153959, 129496, 132818, 136694, 144072, 145648, 149984, 154973, 128543, 134194, 137893, 144063, 144830, 152516, 155164, 131826, 135320, 140149, 141609, 145162, 149824, 155587, 131035, 135221, 138118, 143717, 148346, 151880, 155368, 130321, 136058, 139415, 143511, 146928, 149715, 152992, 130223, 133010, 136688, 143951, 148424, 152218, 155744, 128634, 136292, 137502, 143598, 148255, 151458, 155953, 131409, 133507, 138181, 141529, 145682, 150980, 153953, 130124, 135237, 136641, 144138, 146304, 152523, 153038, 129048, 136322, 136473, 144435, 147413, 150446, 156574, 129045, 133228, 140512, 142150, 147059, 151423, 153310, 132265, 135344, 137928, 141886, 147260, 151260, 153176, 130321, 133874, 138600, 142809, 146382, 152719, 156452, 129575, 136369, 139295, 142232, 146448, 151838, 153910, 129286, 134771, 139981, 142988, 147746, 152327, 155124, 131397, 133460, 140436, 141861, 147104, 151524, 155825, 129423, 135859, 136929, 143925, 145153, 152149, 154095, 131397, 132874, 137829, 143439, 146755, 149072, 155726, 132232, 133178, 137141, 143376, 145494, 149631, 155423, 128634, 135921, 138415, 142768, 145423, 151578, 153257, 128889, 132840, 138422, 143574, 147953, 149627, 154906, 131286, 133619, 139866, 141330, 148372, 149146, 156267, 130336, 133010, 136948, 140825, 145153, 149741, 153243, 131104, 132651, 138330, 142426, 146579, 148787, 153827, 130336, 132578, 137519, 141400, 144853, 149120, 155604, 129667, 133407, 139787, 140614, 147564, 149762, 154502, 131397, 135221, 138360, 144522, 147239, 150297, 155787, 132193, 135622, 137445, 142887, 146156, 151503, 156096, 129718, 132381, 139445, 141791, 144749, 150933, 154692, 129045, 132846, 138662, 143164, 144992, 150189, 154837, 131644, 133045, 137807, 141833, 145444, 152198, 155320, 130223, 134160, 137919, 141927, 144657, 148894, 154922, 131039, 132633, 139323, 143089, 145727, 149568, 154858, 129981, 134576, 138984, 143080, 145723, 148964, 154132, 131188, 132369, 140512, 143225, 145924, 149345, 156381, 131397, 133257, 138726, 143962, 148595, 151691, 154413, 128956, 134712, 138639, 142600, 147799, 149501, 154105, 130881, 135926, 137777, 142450, 145723, 150960, 156666, 132042, 133555, 140534, 142789, 145687, 151733, 155077, 128889, 136039, 138693, 141975, 145242, 150981, 152888, 128699, 134260, 136772, 143138, 146090, 148942, 154171, 131447, 133595, 139014, 140569, 146906, 149171, 154872, 130124, 132502, 136768, 142531, 146900, 148940, 154744, 129286, 132965, 139478, 144169, 146281, 149017, 153962, 130147, 133618, 139072, 142328, 144907, 148974, 152988, 129273, 135950, 137087, 141354, 147361, 148939, 156378, 131651, 132494, 137845, 142503, 148376, 152285, 155320, 130713, 135145, 137281, 143281, 147244, 150611, 155455, 130835, 134983, 139207, 144086, 148515, 151970, 156811, 130758, 133339, 136571, 142409, 148156, 151058, 153300, 129045, 135922, 138935, 140813, 145132, 152492, 154140, 128956, 133407, 139611, 143564, 147469, 152389, 154776, 130451, 133635, 138658, 140580, 145423, 149575, 154027, 129667, 135864, 139858, 141504, 145114, 151212, 153798, 129045, 132761, 139032, 143479, 146949, 150723, 156008, 129106, 132934, 137223, 143055, 146813, 150907, 155649, 130124, 136064, 138646, 141070, 148424, 149402, 154529, 129273, 135414, 139731, 140807, 146840, 152580, 156932, 130321, 134276, 138959, 142622, 145283, 152447, 155294, 128956, 135458, 138828, 142896, 145057, 152670, 155238, 128969, 135448, 137552, 141427, 144808, 151828, 153315, 131421, 133199, 138359, 143648, 146512, 151371, 154571, 129813, 135116, 138541, 143488, 147359, 151530, 153042, 130336, 135811, 138039, 143852, 146775, 150398, 153727, 128652, 133587, 136718, 141598, 145153, 149107, 154663, 129981, 135599, 136593, 143080, 146767, 149195, 155259, 129106, 132865, 137712, 143923, 145434, 150144, 156331, 131188, 135480, 137073, 142952, 145183, 150684, 154357, 128634, 134436, 140215, 142371, 144916, 152830, 155799, 129667, 135980, 138214, 141871, 147359, 150271, 155701, 130124, 135626, 139617, 141417, 145420, 149215, 156183, 129080, 134258, 139569, 141523, 148147, 151188, 156120, 130336, 136039, 136874, 144129, 147925, 151143, 154369, 131826, 133755, 140400, 140586, 146437, 152075, 156482, 129667, 135237, 137752, 140944, 148371, 150999, 153939, 129813, 135237, 136694, 141500, 145153, 151508, 155762, 128634, 133146, 140001, 141012, 147135, 152054, 153587, 132193, 135498, 137762, 140809, 146240, 149570, 155165, 128956, 132924, 138740, 142468, 148385, 148752, 156683, 129286, 132369, 140251, 140825, 148438, 152361, 155182, 130147, 134951, 139010, 142385, 147413, 151237, 155951, 128945, 134790, 139210, 140718, 148192, 151960, 156766, 129552, 134951, 138062, 142755, 147166, 149895, 156360, 129667, 135864, 139787, 141484, 147239, 150830, 153030, 128652, 132752, 139950, 144139, 148606, 151129, 154047, 129718, 133305, 136547, 143374, 147541, 149742, 153586, 130708, 133660, 138662, 141786, 144733, 149944, 156123, 129667, 132890, 139570, 143272, 146755, 149114, 155426, 128812, 134306, 138853, 141939, 147470, 149488, 154376, 130223, 135904, 140292, 141665, 147730, 151414, 156355, 129667, 133952, 140030, 142254, 145158, 150703, 155580, 129813, 136165, 138960, 141653, 148147, 148751, 154884, 128741, 135377, 138891, 144457, 145682, 151271, 155691, 129286, 135071, 139222, 141701, 145556, 151441, 155214, 131667, 135237, 137242, 142985, 146240, 152394, 154504, 130968, 135071, 138889, 141944, 145337, 151684, 153997, 131397, 134947, 139240, 142918, 147063, 151278, 153473, 130634, 135018, 139090, 142863, 148242, 150469, 154425, 131044, 135926, 140312, 144526, 145349, 150531, 152896, 129221, 133962, 139739, 143389, 146033, 152667, 156533, 131529, 134916, 138633, 140905, 147259, 152723, 154697, 128258, 128262 ]

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

[ 128259, 128000, 56, 483, 124727, 106395, 22841, 19494, 64010, 91166, 3105, 636, 556, 111142, 575, 104552, 122778, 1624, 4008, 104453, 64010, 91166, 276, 109931, 9964, 4317, 1517, 91166, 277, 64566, 379, 494, 587, 117781, 36454, 100500, 120515, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 154410, 128868, 134788, 138816, 144003, 148459, 151902, 154692, 129572, 135206, 137900, 142682, 145153, 149688, 156253, 129667, 135071, 140320, 142387, 144996, 149341, 156829, 131397, 133099, 138886, 143973, 148188, 149647, 155203, 129496, 135864, 139146, 144558, 145106, 151671, 156005, 131397, 134552, 137220, 143272, 147534, 150947, 155942, 129667, 134552, 140011, 143652, 147941, 148946, 154756, 131104, 134315, 137879, 142392, 145793, 152494, 156662, 128634, 133558, 140316, 143603, 147085, 152311, 155046, 131447, 136454, 138187, 142786, 146156, 149681, 154208, 128969, 135332, 137139, 142870, 144657, 150556, 153548, 129718, 136348, 138747, 140559, 145104, 150978, 155377, 131039, 133913, 138984, 143772, 144971, 149942, 156716, 128634, 134422, 138049, 144622, 145153, 150408, 156593, 131397, 136064, 139185, 140769, 146840, 151176, 156120, 131731, 136092, 139319, 143608, 148669, 152528, 154074, 130550, 134857, 136907, 143037, 146169, 149624, 154765, 130487, 132819, 139874, 142068, 146454, 149331, 153979, 129667, 132949, 140274, 143572, 148209, 151929, 156294, 131397, 135796, 138775, 142123, 145531, 152516, 154314, 128634, 133796, 137844, 143435, 145695, 151244, 152977, 132232, 135461, 139165, 143404, 146394, 152397, 156471, 131188, 134217, 139077, 141332, 145695, 151504, 153130, 129667, 133033, 137699, 141403, 146796, 151553, 155237, 128889, 135503, 140223, 142135, 147239, 151260, 155356, 129813, 136039, 137981, 143692, 148152, 152075, 154263, 130619, 133360, 139945, 142467, 145524, 150777, 155463, 128343, 134922, 138835, 141455, 145005, 152603, 153089, 128634, 132369, 138274, 141794, 145587, 152666, 153878, 131039, 134827, 136676, 142696, 148715, 148917, 154706, 129667, 132441, 138911, 144509, 147646, 151111, 153149, 131286, 135864, 138960, 141467, 144657, 149217, 156334, 131397, 133407, 140043, 142854, 148352, 151793, 154577, 130147, 135010, 138101, 141606, 147239, 149632, 154880, 128945, 135865, 139680, 142332, 146678, 150165, 154707, 129718, 134514, 138675, 142888, 145177, 151292, 156049, 128634, 133407, 138842, 144217, 148564, 148786, 153195, 128969, 132895, 137698, 141319, 148152, 152644, 155043, 131821, 135237, 137520, 143445, 148152, 149005, 156241, 129667, 135811, 137881, 143737, 147963, 150758, 155148, 131543, 133891, 137393, 142254, 148330, 152688, 154285, 130417, 132859, 138747, 143878, 147685, 152328, 154859, 129981, 132470, 138668, 144335, 144783, 150135, 156006, 129566, 134786, 137617, 142334, 146137, 148849, 153777, 131397, 135564, 139129, 142882, 145153, 151495, 156294, 129738, 135237, 136486, 141946, 145243, 150250, 155303, 132265, 132949, 138960, 143826, 146840, 152198, 156334, 129273, 132818, 138500, 144344, 146813, 152321, 154776, 131931, 135561, 138187, 141299, 148378, 149619, 155893, 132240, 133441, 140475, 143475, 145748, 150893, 153458, 131397, 135504, 137409, 140748, 147509, 152714, 156147, 129273, 132761, 139554, 144349, 146359, 152524, 154707, 131543, 136322, 139661, 141455, 147632, 150856, 154606, 128945, 135929, 139931, 141235, 146800, 148945, 153038, 131014, 133869, 139109, 142696, 147239, 151863, 156049, 131188, 133407, 139827, 143138, 145045, 151064, 156541, 129667, 134467, 138596, 142073, 144657, 149494, 153858, 131397, 132865, 138644, 142882, 146448, 152685, 154134, 129286, 134476, 137226, 142611, 148172, 151247, 155124, 131667, 134951, 137474, 141329, 144792, 151423, 155288, 129667, 132965, 137727, 142706, 148562, 151975, 156911, 128557, 133212, 139011, 140922, 148381, 151419, 155297, 131860, 132615, 140356, 144637, 147665, 149944, 153953, 131397, 134951, 139255, 141268, 144802, 149817, 156257, 130928, 132455, 138946, 144375, 147953, 149479, 154938, 128741, 135864, 137687, 142347, 145644, 149156, 154504, 131738, 133399, 137744, 143610, 148706, 150038, 156300, 131543, 135211, 139215, 142643, 147239, 149997, 155462, 130223, 135432, 137213, 144223, 146505, 152548, 154486, 131397, 133056, 139552, 143696, 146240, 149530, 155988, 131667, 136165, 137099, 143965, 148453, 151179, 155164, 129575, 133540, 138931, 143593, 148724, 149505, 155450, 128956, 132894, 137047, 142545, 146861, 149767, 154617, 132238, 135212, 139078, 142533, 148242, 151350, 153170, 129438, 135977, 136508, 144217, 148177, 150721, 156897, 129243, 133359, 139035, 140912, 145528, 152825, 156463, 130878, 133529, 136827, 141625, 148159, 149250, 152894, 131529, 133547, 138477, 143331, 147259, 150259, 154697, 128258, 128262 ]

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

[ 128259, 128000, 47013, 105320, 105544, 52465, 116444, 11, 125163, 18137, 8115, 15606, 15907, 72, 11884, 1565, 1634, 483, 281, 5297, 106350, 52077, 105984, 114364, 109128, 110013, 64, 293, 10114, 93687, 38511, 58804, 100565, 120515, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 145606, 152625, 154653, 130998, 133092, 138055, 142284, 145196, 151373, 154650, 128761, 133660, 138721, 142758, 147994, 152668, 154112, 131104, 132684, 138554, 141064, 147359, 150615, 154195, 132173, 133359, 139589, 141752, 148152, 152103, 155206, 131397, 135237, 136911, 142237, 148196, 151190, 155045, 130336, 135916, 139792, 141764, 148327, 151554, 153687, 128634, 133399, 137693, 141537, 146692, 152536, 153242, 129667, 136039, 139116, 142882, 147525, 152024, 155191, 132116, 132651, 139262, 144157, 144701, 148964, 156328, 131543, 135015, 139944, 142622, 146746, 152624, 155210, 129735, 133399, 138998, 143229, 147545, 151810, 156852, 132253, 133399, 137711, 143272, 146724, 150858, 155145, 132103, 133612, 137695, 141836, 146597, 148800, 156065, 129045, 134377, 137889, 141687, 146732, 152622, 153471, 131014, 135221, 138786, 142973, 145648, 152503, 156183, 129718, 132983, 139716, 142632, 145568, 151192, 156748, 131409, 133360, 139034, 142955, 145545, 151560, 154425, 130998, 135393, 140087, 140963, 148731, 149864, 156672, 130334, 132433, 136887, 141453, 147259, 150314, 152997, 132247, 134788, 139880, 142122, 147076, 148901, 156601, 130929, 134916, 139093, 143866, 147310, 151815, 154171, 128873, 135576, 137432, 142663, 147650, 150816, 153773, 131397, 136138, 138500, 142819, 144972, 150894, 156632, 131104, 135347, 138113, 140680, 148400, 149448, 154547, 128969, 136369, 136616, 141644, 145648, 151242, 156858, 130070, 136076, 139331, 143421, 148716, 150415, 154511, 131543, 135783, 139514, 141386, 147730, 149084, 156720, 131328, 134677, 138049, 141199, 146023, 149638, 156880, 129496, 135796, 140479, 141264, 148352, 150191, 154629, 129718, 133010, 139510, 143897, 147194, 151147, 155158, 129185, 136312, 137089, 141732, 144657, 151068, 156314, 128969, 133517, 137339, 141383, 148636, 151473, 153882, 128634, 132369, 138084, 142385, 147061, 151612, 156060, 131530, 135439, 138266, 144463, 146864, 150182, 154505, 129718, 134878, 138270, 143680, 147953, 148990, 153816, 129756, 135222, 137322, 140714, 148424, 151009, 156036, 130418, 133010, 139464, 143316, 147298, 149307, 154458, 131397, 132461, 140516, 140600, 148152, 151181, 155091, 129667, 135199, 138130, 142836, 146281, 152146, 155095, 129738, 132684, 137879, 144576, 147000, 148953, 156174, 129045, 133146, 138192, 140689, 148084, 151310, 155818, 129718, 134790, 137218, 140929, 144808, 150611, 153193, 132116, 133024, 140444, 143511, 146102, 149181, 156140, 129667, 132895, 139343, 143004, 145153, 151056, 154836, 131397, 135626, 137224, 141157, 146378, 150311, 156409, 131223, 134287, 138031, 141589, 146901, 152404, 154859, 129045, 135660, 138408, 144457, 147956, 150128, 155434, 129575, 133172, 139459, 142026, 146105, 150968, 155384, 128652, 133217, 138186, 143560, 145177, 151017, 155193, 128544, 132706, 139294, 141133, 144937, 150322, 156140, 131543, 135200, 140189, 143693, 147730, 151028, 155897, 131858, 134546, 139034, 142800, 146525, 150151, 153727, 132098, 134807, 140457, 143279, 147615, 152225, 156196, 128634, 132865, 136539, 141573, 147921, 151131, 154569, 128810, 135439, 139415, 143080, 147581, 149684, 155879, 131286, 136307, 140144, 142164, 148152, 151452, 154423, 132265, 133993, 140533, 140612, 148483, 152511, 153393, 129116, 132752, 139756, 143740, 145134, 148819, 154408, 130108, 133408, 140012, 142631, 148196, 151021, 155294, 129496, 133099, 138761, 142039, 148650, 151435, 156918, 131188, 135503, 138820, 141931, 144988, 150287, 153964, 130223, 134217, 136849, 141776, 147914, 151395, 155631, 128956, 135442, 140526, 143858, 147724, 150364, 153041, 132265, 135385, 139426, 141688, 148050, 149343, 156544, 129813, 132717, 139690, 141952, 148620, 149811, 153176, 131530, 132816, 139014, 144108, 147444, 150215, 153438, 129575, 135306, 140430, 140807, 147099, 152257, 153471, 129273, 136362, 136541, 143925, 148084, 151603, 153634, 131670, 132818, 137941, 144441, 146701, 151356, 156769, 129477, 133254, 137692, 141523, 147019, 150062, 153368, 129575, 134388, 136468, 142721, 148192, 149199, 156424, 129667, 136370, 136658, 143462, 147359, 150436, 156573, 131738, 135889, 140316, 141066, 148152, 150246, 155185, 131397, 133952, 136479, 141109, 145986, 150848, 154124, 130223, 136161, 138753, 143298, 144657, 151888, 154559, 131667, 135237, 137744, 142425, 148449, 151441, 153051, 128557, 136039, 138889, 140694, 145711, 148869, 154912, 131397, 132513, 139836, 144279, 145771, 151004, 155423, 131778, 132890, 138891, 141463, 144908, 152276, 154248, 131044, 133745, 137196, 141985, 145812, 149017, 152989, 129221, 133521, 139185, 143522, 145812, 149074, 153127, 128868, 135421, 136844, 144079, 144721, 149353, 156232, 128258, 128262 ]

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

[ 128259, 128000, 54133, 372, 101294, 112247, 409, 71, 7370, 7870, 123649, 102203, 11, 109488, 293, 5724, 7370, 77024, 22841, 116717, 3423, 86654, 121006, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132151, 134971, 138080, 141891, 146550, 151217, 156787, 128560, 136162, 138159, 141573, 146130, 148901, 154826, 131035, 136097, 138362, 144472, 146216, 151263, 153695, 129667, 133224, 138800, 142913, 146216, 149556, 154855, 130336, 133460, 139042, 144344, 147525, 149762, 154744, 129813, 133928, 136717, 144484, 147635, 151491, 153061, 129667, 135237, 136975, 141254, 147093, 149939, 154529, 129286, 133371, 139428, 142887, 148424, 150185, 154173, 129813, 133407, 137636, 142634, 148585, 151141, 153290, 129718, 133521, 137019, 143992, 147166, 150369, 154970, 129813, 133407, 140073, 142307, 145515, 151006, 154468, 128694, 135644, 140012, 144040, 145134, 149631, 156723, 128634, 136149, 139507, 141691, 147416, 148976, 154617, 129718, 133075, 139558, 143350, 145695, 149391, 154970, 131738, 135921, 138956, 141872, 146211, 152548, 153702, 129718, 133993, 138872, 141012, 146193, 149618, 153326, 130708, 132945, 138528, 141786, 147013, 152269, 156076, 131188, 132381, 139612, 143284, 145960, 149223, 156373, 129667, 134467, 139378, 143737, 146438, 150395, 156568, 132193, 134113, 139054, 142303, 145056, 150546, 155368, 129981, 136304, 137343, 141786, 148710, 151272, 154203, 128634, 133407, 140538, 142375, 148580, 151953, 155520, 130921, 132500, 139107, 144527, 145679, 151166, 153067, 128868, 133318, 136887, 144003, 147259, 149657, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134098, 139880, 141849, 147204, 152449, 156163, 131397, 134608, 140017, 141666, 145843, 150539, 156406, 129735, 136039, 137761, 142882, 148361, 151978, 156380, 131397, 133399, 138610, 144517, 148019, 152510, 156635, 132042, 136379, 137992, 140917, 145843, 149367, 156249, 131397, 134511, 138871, 143495, 146813, 151141, 155591, 132193, 134552, 138203, 144489, 148651, 149392, 154286, 129756, 133913, 136747, 142937, 146324, 149620, 153936, 129813, 135237, 140001, 144279, 146654, 151452, 156414, 128873, 133049, 139543, 143645, 147080, 150816, 154451, 129718, 135904, 138927, 142577, 145530, 149249, 154074, 131039, 132945, 139543, 141102, 145356, 148904, 156068, 131731, 132895, 139288, 142036, 145867, 151394, 154951, 131039, 135638, 140159, 142975, 144971, 150779, 156673, 131543, 134341, 139914, 141728, 148381, 152359, 155386, 132146, 133677, 137611, 144294, 146219, 152732, 156485, 128945, 135442, 137092, 142561, 145621, 150454, 154025, 128555, 136225, 137233, 141761, 145878, 149785, 154422, 128969, 133407, 136731, 144595, 146448, 151759, 153909, 131543, 135026, 137322, 141709, 144732, 150949, 153141, 128969, 135626, 137099, 144060, 148060, 149745, 152964, 131652, 135834, 137523, 142137, 146409, 149817, 153339, 130929, 135317, 140184, 142023, 144953, 150977, 154041, 131132, 135862, 137844, 143512, 145835, 148957, 153802, 128258, 128262 ]

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

[ 128259, 128000, 1966, 359, 304, 100946, 18244, 1394, 71862, 102824, 18280, 3457, 16120, 55888, 108019, 3209, 102154, 348, 1494, 79995, 102824, 112637, 115616, 17930, 71862, 101664, 8326, 15606, 102265, 112247, 409, 10732, 77211, 2668, 72, 101588, 122807, 16618, 120515, 13, 128009, 128260, 128261, 128257, 131704, 133563, 140046, 142530, 145687, 152750, 152935, 129813, 132949, 139203, 143446, 146286, 151858, 155560, 130486, 136083, 140223, 140773, 147322, 149728, 154797, 129045, 134433, 138136, 142901, 146179, 150292, 153856, 132232, 135356, 137232, 142963, 147953, 149774, 153513, 131286, 135665, 140019, 142214, 145687, 149729, 155093, 131826, 134141, 138588, 143959, 145005, 151899, 156101, 129813, 135237, 138504, 141484, 145237, 151074, 153240, 129667, 136039, 139636, 141137, 145237, 148946, 154938, 131826, 134499, 138142, 144438, 147237, 152579, 155170, 128373, 134633, 138147, 142854, 147887, 151630, 155570, 128339, 136068, 138972, 143324, 145338, 150576, 155329, 131543, 135074, 138005, 141316, 146787, 151672, 156334, 129667, 135603, 139687, 144332, 145243, 149289, 154793, 131826, 136349, 139100, 143035, 147509, 152255, 154228, 128969, 134860, 140131, 144411, 147370, 151373, 156337, 129718, 134613, 136544, 141844, 147149, 152444, 154862, 131123, 135062, 138616, 144167, 146664, 150008, 153254, 128969, 134485, 138872, 143964, 144657, 152426, 153904, 130321, 134440, 138467, 143766, 146670, 149486, 155657, 131397, 133472, 139869, 141710, 148450, 149924, 155951, 132193, 135230, 139950, 144054, 147915, 152109, 155230, 130702, 134226, 137581, 142571, 147404, 149781, 156454, 128484, 132826, 138014, 140949, 148669, 150935, 154320, 128634, 135102, 139989, 143323, 148234, 150297, 156029, 129667, 135237, 138908, 142618, 146813, 151589, 156573, 129738, 132949, 137001, 140952, 148199, 152561, 154195, 130321, 133579, 139078, 143841, 144943, 149714, 155294, 129045, 135143, 138656, 144443, 144664, 149555, 155649, 131188, 135503, 140220, 143420, 146540, 149990, 153122, 129667, 135358, 136639, 143979, 146240, 150999, 155517, 129496, 133460, 139202, 144542, 147635, 149078, 156064, 132193, 135998, 140421, 140817, 148127, 152161, 153813, 128402, 136176, 138993, 141074, 148078, 150554, 156366, 128969, 132908, 136667, 142684, 144972, 149533, 154991, 128634, 132897, 139011, 143222, 147702, 149813, 155370, 131114, 135197, 139906, 141625, 145094, 151451, 153349, 132098, 133145, 140012, 140855, 148467, 151211, 156475, 131644, 134150, 138860, 142076, 145183, 151131, 153111, 130223, 135626, 137781, 143857, 147914, 152049, 153979, 129589, 132683, 140181, 143979, 146426, 149538, 153440, 129667, 132890, 140248, 143574, 146564, 148953, 156479, 128889, 134138, 140158, 144254, 144745, 149147, 153560, 131543, 132741, 140443, 144197, 147029, 151858, 155992, 131397, 134712, 136804, 142360, 147613, 151933, 155513, 129496, 136039, 139575, 143912, 147239, 150491, 155526, 129479, 133735, 139985, 143261, 145515, 149899, 154490, 130410, 132816, 139076, 143459, 146958, 150305, 155509, 132146, 132945, 137721, 144108, 146475, 148935, 155634, 129045, 136064, 139169, 141760, 148168, 151433, 156596, 131998, 135416, 136754, 140966, 147362, 149849, 155915, 132014, 135834, 140262, 143033, 146950, 150309, 154157, 129446, 133975, 140551, 143889, 148190, 149849, 154208, 131880, 132488, 139329, 144585, 146064, 150098, 156327, 129462, 135612, 140116, 144005, 146941, 152018, 154122, 131778, 134499, 139364, 142635, 145114, 151212, 153477, 131826, 134499, 139636, 143783, 146787, 148799, 154744, 129738, 134951, 139229, 140726, 145901, 151978, 155881, 129045, 135354, 136700, 143568, 145695, 151653, 152849, 129718, 133407, 139396, 141259, 144994, 149808, 154321, 129045, 133407, 136620, 143857, 145695, 149327, 154814, 128969, 134138, 136701, 143405, 145794, 148920, 155989, 131821, 132663, 140333, 141410, 146729, 149054, 153505, 132265, 133998, 137779, 142847, 147546, 151530, 155387, 128969, 133358, 139276, 140560, 145695, 149093, 154652, 132146, 135921, 140474, 144211, 146382, 148886, 153739, 128652, 132889, 138954, 141798, 147397, 150179, 154228, 128584, 132611, 136951, 141032, 147791, 149128, 153783, 128652, 135503, 139685, 142375, 147496, 149688, 155810, 129045, 132594, 140189, 141135, 145695, 150647, 154433, 130124, 135626, 138954, 142294, 145152, 149103, 154611, 128969, 135217, 138057, 140569, 147099, 150311, 155686, 129813, 133407, 137520, 142882, 148580, 150117, 155211, 128634, 133175, 138397, 143611, 148352, 151299, 153667, 131826, 135071, 136686, 141135, 145695, 149115, 154045, 128634, 134404, 137144, 141329, 148691, 151397, 156290, 128652, 135442, 138401, 144501, 144757, 152073, 155902, 128634, 133796, 139733, 143541, 145695, 149107, 153529, 131447, 133371, 136551, 143019, 148663, 151223, 155888, 131188, 134388, 138690, 143869, 146124, 149199, 154254, 128945, 132520, 138835, 141895, 148267, 150200, 154570, 128634, 135881, 137375, 140685, 145756, 150086, 153966, 129813, 134190, 138299, 140737, 147436, 151517, 155980, 129667, 132890, 140038, 143962, 145613, 151219, 155490, 131104, 135816, 139811, 143227, 146176, 152021, 155965, 128634, 135118, 137404, 144008, 147098, 149745, 155368, 132116, 132880, 136676, 140874, 145202, 151619, 156328, 129718, 132520, 140364, 142703, 145153, 149449, 152863, 132146, 135170, 138664, 140715, 145941, 151501, 153516, 128956, 135706, 137004, 141195, 145748, 149530, 155988, 131667, 133952, 138034, 141053, 148373, 152674, 155790, 128545, 134215, 137876, 143660, 145891, 152574, 155572, 128956, 132513, 140441, 142812, 145041, 151327, 155228, 131778, 135895, 137774, 143559, 148214, 150747, 154862, 131652, 132868, 138495, 142493, 145689, 152409, 156485, 130013, 134339, 137949, 142533, 147713, 152603, 154228, 130178, 133524, 138872, 143348, 146843, 148859, 153127, 131132, 135926, 137497, 143454, 147153, 149350, 156430, 128258, 128262 ]

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

[ 128259, 128000, 60908, 122346, 1299, 3862, 109252, 59385, 668, 588, 73042, 3344, 747, 104383, 55295, 3223, 3862, 757, 57000, 64566, 293, 30333, 10114, 93687, 101492, 88787, 16461, 379, 291, 49697, 13835, 3067, 44934, 450, 49697, 113734, 101770, 77211, 52465, 668, 379, 1617, 3862, 5964, 276, 85226, 102934, 22841, 1810, 126982, 118847, 20693, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 142122, 147076, 148901, 154143, 130185, 132970, 136566, 142277, 146281, 148775, 155159, 131571, 135334, 140023, 141761, 147239, 152660, 154180, 130124, 132465, 137822, 143019, 148554, 151099, 156412, 129045, 134766, 139411, 144630, 145882, 152157, 156098, 131397, 133228, 137569, 144375, 146499, 150326, 155284, 130124, 133668, 139616, 143202, 145516, 149882, 156028, 131035, 132909, 139301, 143422, 145080, 151054, 155192, 129045, 135899, 138799, 143067, 148199, 152194, 153690, 132193, 135125, 138528, 142375, 148352, 150421, 155859, 129045, 133146, 140347, 140755, 148278, 149335, 154722, 131442, 134766, 138450, 143674, 145648, 152250, 156426, 128969, 134861, 139816, 144494, 146501, 150672, 154390, 128634, 135346, 139494, 142939, 147057, 148801, 154296, 129738, 132457, 139136, 141248, 145123, 149953, 156101, 129667, 135237, 136859, 143886, 148199, 149692, 155095, 132265, 133779, 140332, 141594, 148172, 149813, 152965, 132146, 133519, 138707, 144040, 145434, 150277, 152977, 129045, 134769, 137237, 142109, 145545, 149875, 156495, 129012, 134306, 140201, 140754, 145763, 152647, 154826, 131543, 132726, 139873, 140640, 145015, 150619, 154185, 129496, 132717, 138888, 144512, 146813, 149138, 155806, 132265, 132874, 137555, 144140, 147525, 152077, 155110, 129813, 132865, 139039, 143508, 145648, 151314, 156716, 128652, 133257, 137483, 140584, 145229, 149877, 153419, 129813, 136195, 139947, 144324, 148585, 151661, 153573, 130147, 136092, 139373, 141648, 145298, 151028, 156667, 129667, 134508, 139645, 142507, 145691, 151954, 154989, 131778, 134087, 137250, 141935, 144782, 151354, 155244, 130950, 133359, 140351, 143199, 144756, 150402, 155393, 128634, 133873, 137709, 143529, 148352, 150547, 154851, 129843, 134829, 139169, 143847, 147768, 149437, 153224, 131670, 132376, 138950, 142105, 145687, 149375, 155554, 129273, 133928, 137928, 141044, 146445, 150824, 153890, 129045, 132912, 139601, 140925, 144657, 151867, 153262, 129667, 135237, 137856, 143783, 145153, 149692, 153195, 132193, 135653, 137007, 143838, 147557, 149397, 153560, 129045, 135229, 139691, 144308, 146840, 149205, 155081, 130147, 135483, 138697, 140999, 148380, 150993, 156145, 131397, 135311, 137744, 143673, 146813, 150697, 154028, 128956, 134452, 140266, 142282, 144976, 150348, 154145, 128557, 133228, 138672, 140618, 144664, 152415, 155170, 130121, 133122, 139868, 144272, 148477, 149527, 155664, 129045, 132376, 137022, 143750, 145695, 151955, 154711, 129667, 132874, 138033, 140908, 144805, 151330, 153755, 131035, 135096, 138423, 142585, 148176, 152164, 154768, 130223, 135112, 139469, 141860, 147953, 149204, 154262, 129667, 135921, 136973, 143633, 147414, 149236, 155762, 129813, 136252, 140273, 142373, 147359, 149774, 155796, 129572, 135694, 137208, 143961, 145800, 149591, 153610, 128634, 135712, 136545, 141228, 145756, 148848, 156488, 131821, 134764, 138881, 140600, 146777, 150176, 155531, 129667, 136297, 137646, 143618, 147082, 152238, 154343, 132173, 134094, 140173, 142419, 147166, 150329, 156176, 131619, 135047, 138359, 143598, 148636, 152488, 156868, 128634, 136149, 137934, 143541, 148084, 150689, 155475, 129718, 134546, 137881, 143009, 146315, 152158, 154310, 129045, 134525, 138821, 140761, 145057, 151046, 156510, 130321, 134580, 138958, 143654, 145016, 149944, 155817, 128652, 134160, 136719, 143249, 148086, 149701, 154975, 128634, 132851, 137922, 141580, 145695, 149138, 156789, 129667, 132457, 136646, 143859, 147525, 151929, 156294, 128634, 135983, 139686, 140682, 144834, 148964, 153300, 132173, 134234, 139672, 142085, 144732, 151119, 153738, 131397, 136136, 136555, 141621, 145791, 151312, 155648, 132116, 135285, 139619, 144540, 148114, 148957, 155571, 129667, 133392, 137356, 142214, 145691, 152010, 156810, 128564, 135665, 137441, 144602, 147501, 150460, 154356, 128652, 135316, 138236, 143140, 146840, 149674, 155134, 129045, 136001, 138637, 144369, 148698, 150980, 153536, 130172, 133148, 138776, 142030, 147736, 149663, 153801, 128301, 134938, 140339, 143115, 146157, 150065, 153259, 131202, 135847, 137529, 142672, 146533, 151055, 156378, 129387, 132405, 136544, 141640, 145834, 149907, 155520, 129601, 134931, 138803, 144639, 145577, 149817, 156622, 128437, 134559, 139994, 140673, 147953, 150971, 154800, 131826, 132653, 139947, 142145, 147359, 149927, 156424, 128663, 133303, 139908, 140571, 144746, 148964, 153811, 130282, 134106, 138308, 144040, 147166, 149175, 154857, 129106, 135442, 137323, 144245, 146840, 150402, 154019, 129575, 134878, 139925, 141019, 147991, 151033, 155977, 131399, 132766, 139393, 141589, 148196, 149655, 153915, 129718, 134252, 137897, 142145, 147914, 150846, 154020, 131397, 132975, 139717, 141586, 146840, 151418, 156353, 129708, 135091, 139976, 144611, 148122, 152628, 153768, 132106, 134121, 137037, 141750, 146448, 151901, 155286, 128945, 135054, 138174, 141507, 146409, 151664, 154858, 129286, 135421, 138535, 144426, 144664, 149390, 155954, 131397, 132835, 136716, 143056, 147008, 150327, 155009, 131244, 132932, 136884, 144536, 146742, 149056, 155599, 132193, 133531, 139543, 142696, 145681, 149081, 156619, 129575, 135665, 136511, 143212, 146486, 150615, 154313, 129667, 134486, 139496, 141683, 145237, 150572, 153504, 132106, 135800, 138657, 143489, 145844, 151463, 156827, 129539, 133883, 136724, 140692, 146394, 152041, 153903, 132265, 135310, 139991, 141708, 146286, 150031, 153428, 131000, 134211, 137959, 142511, 147319, 150816, 155011, 131039, 132385, 139959, 143636, 146372, 149221, 153268, 130451, 133268, 138433, 144285, 148372, 149159, 152894, 128652, 135840, 137312, 143468, 144657, 150350, 155361, 128634, 135436, 137640, 143643, 146566, 152408, 154040, 128584, 136422, 137656, 141670, 147953, 151816, 155982, 128812, 133756, 138487, 143617, 147914, 152055, 155231, 131321, 134424, 137380, 143829, 145072, 148810, 155760, 130854, 134945, 137700, 144147, 147025, 148918, 155189, 131699, 135196, 139543, 141786, 146868, 149404, 155052, 128634, 134534, 137427, 140925, 147057, 150355, 155724, 129714, 134779, 138902, 142323, 146284, 152649, 153610, 131447, 135425, 139474, 144048, 146666, 150413, 153626, 128956, 133952, 137655, 140853, 147310, 150751, 155228, 130465, 132661, 136705, 141972, 144865, 152627, 154084, 130013, 135670, 140378, 143275, 145829, 151510, 156864, 131044, 133507, 138681, 140682, 147808, 149721, 153171, 128416, 136218, 140262, 140697, 146658, 149031, 155080, 131529, 133548, 138188, 142810, 147259, 150791, 154697, 128258, 128262 ]

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

[ 128259, 128000, 50, 39367, 1565, 77211, 575, 113648, 2779, 15606, 113197, 83000, 4168, 309, 100500, 120515, 13, 7505, 72, 10732, 77211, 2923, 98902, 57398, 122448, 1759, 5308, 75, 38767, 276, 26976, 75437, 1029, 64, 597, 5757, 360, 105929, 3453, 291, 318, 13, 473, 4993, 103589, 1565, 61334, 104250, 80726, 101777, 325, 73394, 101813, 109792, 80726, 11018, 119043, 27615, 24318, 472, 86654, 12881, 1570, 107940, 11, 119691, 106927, 15606, 48756, 3862, 8609, 16507, 87224, 117378, 103243, 4355, 121141, 7870, 105774, 113456, 11, 120800, 96548, 103838, 98410, 124711, 12082, 112017, 85939, 64, 96189, 577, 79884, 7370, 276, 5320, 379, 460, 111383, 60839, 82, 47879, 120562, 39797, 122448, 1759, 5308, 936, 305, 33573, 30333, 1316, 276, 11, 4502, 95780, 5320, 122231, 652, 276, 100693, 41518, 104888, 1446, 7143, 1169, 3457, 102824, 121694, 106706, 1974, 75437, 3458, 108019, 102162, 18578, 63894, 329, 38404, 13, 128009, 128260, 128261, 128257, 129095, 135252, 140046, 144424, 146270, 148835, 153291, 132253, 134407, 138474, 141763, 147502, 150406, 152884, 131014, 135347, 137599, 141594, 147730, 149866, 156724, 129575, 133146, 136736, 143420, 146664, 149578, 153421, 129718, 133996, 140489, 141640, 145499, 151802, 153689, 129575, 133146, 137152, 141759, 148088, 148840, 152892, 129185, 135316, 138588, 143883, 148106, 150222, 154579, 128634, 136292, 137926, 144246, 147610, 150430, 155901, 132127, 132909, 140292, 144609, 146925, 152603, 155633, 128584, 133262, 139643, 144081, 145162, 150052, 153382, 130124, 135706, 140489, 141627, 145990, 148783, 156437, 129045, 133735, 137850, 140689, 148547, 152707, 156060, 129711, 132620, 137200, 141817, 147837, 150111, 154058, 131826, 134552, 140248, 142602, 147635, 149702, 153243, 130336, 136292, 137388, 143603, 145932, 152478, 156176, 128584, 136372, 140440, 144237, 147595, 152720, 153458, 129552, 135307, 140085, 141170, 146901, 150302, 154799, 130410, 135828, 138250, 140820, 145809, 150494, 156545, 130147, 132576, 139646, 141824, 145183, 152063, 154491, 131200, 135026, 140204, 143445, 147274, 149832, 155065, 130928, 133641, 138467, 143187, 147632, 152809, 156728, 131333, 134031, 140298, 142268, 148327, 148777, 155411, 131274, 132865, 138726, 142586, 146454, 148750, 155110, 128634, 135943, 138840, 144063, 148278, 150337, 156200, 131397, 132865, 136824, 142579, 147136, 151250, 154738, 129667, 135237, 140504, 143170, 145183, 152446, 153044, 131667, 132965, 137304, 141653, 144745, 150750, 155228, 131286, 132935, 137995, 144465, 146533, 152232, 153344, 131397, 132857, 137916, 144363, 147646, 152523, 153257, 132343, 134485, 139652, 143455, 146565, 151840, 153895, 132293, 132665, 140480, 143275, 145580, 151795, 155677, 131932, 136227, 138128, 144175, 147835, 149031, 155957, 130255, 134618, 137965, 141360, 145834, 148968, 156367, 132318, 134512, 137844, 144333, 148068, 151949, 152953, 130893, 132804, 139537, 144425, 145695, 152832, 155392, 130336, 132700, 137311, 141217, 144939, 152545, 155748, 131821, 135230, 137728, 141586, 145783, 148926, 155076, 131979, 135865, 138359, 143828, 145691, 152801, 154026, 128634, 134769, 136817, 141735, 145612, 151767, 154620, 131039, 134440, 138747, 142007, 146801, 149681, 156365, 129667, 135102, 139077, 142205, 145436, 150799, 156707, 131884, 132369, 139883, 142807, 144657, 148829, 153300, 128321, 134138, 136884, 143706, 147281, 149080, 154040, 130147, 133658, 140467, 144533, 145516, 152357, 154670, 129575, 134573, 137727, 141692, 146672, 152054, 154670, 131397, 134525, 138960, 143168, 144657, 150697, 153042, 131104, 133239, 138889, 140583, 145253, 151360, 155673, 130124, 134150, 136921, 142879, 146599, 151622, 154687, 129718, 133612, 136642, 144040, 147339, 152269, 156770, 130124, 134263, 136616, 143513, 146613, 149146, 153288, 129045, 134742, 137607, 140808, 148467, 150794, 153998, 129667, 136171, 139052, 140807, 147632, 149222, 156641, 131035, 134669, 137169, 140653, 145160, 150136, 153194, 131103, 134951, 139819, 144388, 145907, 148927, 154393, 129667, 134525, 139129, 142951, 147322, 149287, 156254, 131397, 134525, 140248, 140599, 144657, 149261, 155095, 129012, 133842, 139645, 141590, 144899, 149023, 155799, 129718, 135856, 137396, 142633, 148153, 152258, 154956, 130147, 132865, 140188, 142276, 147322, 150648, 156334, 129813, 132909, 139059, 142721, 145197, 150712, 153425, 131397, 134525, 139129, 140790, 144718, 149824, 156632, 131446, 132660, 139591, 142691, 145817, 149195, 153159, 128564, 132954, 138568, 141053, 147599, 149857, 156182, 132146, 135520, 138782, 143006, 147115, 149406, 156365, 130124, 136272, 139237, 142431, 145324, 150388, 155026, 131397, 132965, 138118, 143783, 145691, 150468, 153962, 129813, 132909, 139476, 140907, 147236, 148833, 153788, 131286, 136161, 139049, 144397, 144910, 149377, 153403, 129718, 133888, 140498, 142181, 148437, 150280, 156907, 129552, 133125, 139200, 143407, 148449, 149592, 154134, 128812, 136025, 139973, 144177, 144999, 151886, 154233, 129813, 132794, 138474, 143716, 148320, 150326, 153532, 131778, 135131, 136914, 141939, 147549, 150019, 156409, 130172, 132665, 139049, 142168, 144680, 150913, 153886, 131044, 134651, 139355, 141435, 148150, 151041, 154086, 131223, 132577, 138936, 144208, 146843, 150701, 154964, 130929, 136264, 138134, 142676, 147812, 150854, 155188, 128983, 134472, 137374, 144384, 146760, 152576, 156273, 128448, 135396, 136683, 142943, 146126, 151912, 154951, 128634, 133993, 137547, 143119, 147016, 152720, 154858, 128652, 133843, 136850, 141755, 147724, 152235, 154929, 130321, 135436, 139994, 143181, 147658, 151828, 155363, 128969, 135475, 138723, 144496, 146156, 150672, 156063, 129644, 132461, 138944, 143741, 147595, 150491, 156089, 129813, 135180, 137502, 144494, 146738, 152619, 156383, 128993, 135747, 137747, 143732, 145280, 150981, 154128, 132265, 132992, 136776, 141216, 146580, 152511, 153755, 132193, 135073, 137900, 143645, 145007, 151934, 155475, 131397, 132487, 137420, 143782, 146587, 152198, 156294, 131826, 134829, 139687, 143783, 147237, 151088, 155613, 131397, 136040, 138272, 143923, 145237, 148946, 156071, 129667, 136434, 138775, 143783, 146459, 149017, 156360, 129080, 133472, 138924, 142650, 146993, 152326, 155634, 132265, 133641, 138003, 143068, 145114, 152630, 156574, 131286, 134794, 136763, 144611, 144975, 149490, 156049, 129921, 135665, 139570, 141225, 144657, 152561, 155065, 130473, 135018, 139620, 143343, 145298, 149943, 155849, 130854, 134805, 139510, 142579, 145974, 149667, 155519, 128810, 135114, 136907, 144108, 145132, 149684, 155305, 128634, 135865, 137789, 141691, 145889, 150983, 156378, 128652, 132440, 138164, 143104, 145183, 150214, 155560, 128584, 134940, 138872, 140668, 146426, 151244, 154873, 129048, 136136, 138450, 144042, 145695, 152562, 156663, 130418, 135071, 137025, 143829, 147443, 152637, 155225, 128652, 134795, 138569, 142136, 144971, 150038, 153189, 129575, 133634, 139299, 140788, 147944, 148815, 154405, 129385, 133524, 140516, 144212, 145038, 152688, 155756, 130124, 134309, 140333, 141627, 145906, 151190, 153872, 129981, 134759, 137834, 142570, 148555, 150950, 155225, 129667, 133743, 137139, 141302, 145516, 151115, 155699, 130336, 135864, 139100, 144285, 145178, 151435, 154446, 129080, 132865, 136639, 143740, 145516, 149191, 153357, 128543, 133228, 139338, 144297, 147436, 152737, 154207, 128856, 135436, 140491, 141328, 146331, 150059, 154217, 130124, 135893, 138691, 142354, 144759, 152066, 153233, 129048, 136364, 138465, 141745, 145740, 149824, 155494, 130124, 132755, 140243, 141861, 147054, 152043, 152954, 128484, 135214, 137321, 141824, 148646, 151356, 156317, 132232, 134991, 139813, 140874, 145520, 152755, 156534, 128639, 136083, 139483, 144042, 145349, 149530, 155071, 129185, 133256, 137367, 142292, 145676, 151311, 153299, 132173, 135677, 139045, 142286, 147786, 149605, 153906, 131800, 135355, 138934, 140701, 148508, 152178, 154792, 130147, 136418, 137884, 141487, 147751, 149059, 154065, 129045, 134767, 139676, 143021, 147518, 150570, 155849, 129667, 135347, 136599, 140812, 145620, 152321, 154910, 129718, 132392, 137652, 142086, 147583, 151001, 153168, 129813, 134792, 136861, 144346, 148509, 151929, 154714, 129667, 136039, 139098, 140759, 146437, 152108, 156171, 128812, 133282, 138333, 144090, 145298, 150547, 156578, 130124, 134862, 137800, 143743, 148245, 150269, 155413, 129575, 132889, 137381, 144633, 148650, 150532, 154862, 128812, 134183, 138566, 141440, 146746, 151314, 154888, 130147, 134821, 138062, 141399, 146838, 149830, 156294, 132106, 132706, 138435, 143359, 146479, 149066, 153758, 132151, 133766, 138340, 142932, 146386, 151214, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 130910, 135924, 137759, 141689, 146760, 150557, 154355, 130997, 132799, 136478, 144595, 145165, 149173, 155407, 131122, 134999, 137343, 142758, 145494, 149705, 156909, 129751, 133981, 139869, 144481, 146160, 149922, 153987, 129718, 135358, 138511, 141432, 148364, 150556, 153738, 128584, 136425, 139816, 141406, 146357, 149514, 153162, 129718, 132520, 136786, 140689, 144996, 149773, 154834, 130147, 136084, 140347, 144006, 148311, 152284, 153805, 131826, 135070, 138431, 143196, 145864, 150552, 155531, 130336, 134794, 138273, 140955, 144994, 149499, 154739, 130150, 135626, 139656, 144041, 147314, 149536, 155277, 129385, 135895, 137878, 143565, 147230, 150028, 154931, 129667, 135023, 138128, 142507, 145114, 151734, 156490, 130282, 133392, 138121, 143890, 144664, 149684, 154684, 130562, 133587, 137926, 142706, 147953, 151338, 154643, 129286, 133428, 139039, 142474, 147914, 150935, 155170, 129813, 135325, 138431, 143500, 145516, 152561, 154095, 130147, 135665, 137803, 140754, 147953, 149477, 154675, 128634, 132542, 139691, 143852, 147316, 151215, 154276, 131188, 135029, 139386, 144446, 147414, 150529, 154559, 130854, 134422, 140376, 144126, 144937, 150310, 154912, 128663, 132675, 138661, 140569, 147359, 152147, 156173, 130150, 134160, 140200, 142615, 145183, 151432, 156547, 131979, 134052, 138588, 142250, 144830, 150773, 155791, 129048, 133407, 139390, 141084, 146358, 149533, 153881, 130321, 134295, 137277, 142786, 148658, 149684, 156520, 130968, 135675, 139037, 140572, 145442, 150084, 156167, 131222, 132483, 136944, 144639, 147487, 150218, 154463, 131103, 133472, 140437, 144495, 145781, 150553, 154657, 129995, 134821, 140348, 141235, 144783, 149317, 155222, 128484, 136076, 139351, 143571, 148364, 152785, 154684, 130641, 133403, 139396, 143847, 145591, 151142, 154821, 129718, 132478, 136616, 140631, 145695, 152694, 154023, 130150, 133407, 138249, 142877, 145178, 150942, 154093, 128634, 134668, 136734, 142666, 145695, 151404, 156316, 128663, 132718, 137595, 140841, 145444, 150725, 154305, 131214, 135933, 139307, 141928, 145333, 148770, 156481, 128484, 134940, 138522, 141575, 147502, 150837, 156881, 129718, 133403, 137113, 143352, 148352, 150063, 154785, 130676, 134432, 138490, 141379, 147994, 152686, 152920, 130751, 133779, 139268, 142679, 146067, 150337, 154528, 131155, 135178, 139762, 144157, 145831, 150098, 155225, 132185, 135252, 139907, 142436, 146335, 152271, 153202, 130334, 134971, 137759, 142122, 146386, 152168, 156264, 129322, 133676, 139327, 140757, 148116, 152102, 155185, 128889, 133971, 137200, 143634, 147583, 150690, 154920, 130336, 135522, 140222, 142934, 146520, 149796, 155332, 129987, 132826, 136940, 144641, 147099, 150443, 156331, 129575, 132991, 140243, 144220, 144759, 152614, 154627, 130147, 134937, 138419, 141031, 147510, 151046, 154083, 129667, 135747, 137646, 143439, 145114, 150191, 154043, 129644, 134185, 139550, 143570, 145763, 150946, 153833, 129718, 133993, 140097, 142216, 147348, 152198, 155298, 131421, 134485, 136959, 142043, 145615, 150184, 153616, 130150, 134301, 140118, 143210, 145768, 151142, 154132, 130147, 135665, 138908, 144600, 147093, 152510, 153687, 131286, 135213, 138802, 143152, 145875, 152363, 153203, 132105, 135626, 138571, 143551, 146664, 152000, 156814, 131823, 135322, 136998, 141738, 147694, 151169, 155888, 129718, 136422, 136750, 140776, 145132, 150865, 156834, 130124, 133124, 137924, 142451, 147833, 152333, 155530, 132160, 134742, 136968, 142282, 146191, 152162, 154433, 130147, 134521, 138353, 141546, 148207, 151404, 156011, 129667, 133618, 139861, 140585, 146755, 151111, 153660, 131546, 134554, 138039, 142498, 146813, 151357, 155164, 129045, 134525, 138826, 142299, 146840, 150264, 155570, 129981, 133903, 136544, 140709, 146453, 150456, 156519, 132253, 133217, 138046, 140936, 148327, 150771, 154539, 129423, 135351, 140146, 140674, 147915, 152735, 154787, 129981, 132379, 138411, 143507, 144868, 150554, 155927, 129286, 133597, 139194, 144533, 147915, 151603, 156728, 130124, 132770, 139630, 141613, 146364, 151622, 154702, 130147, 135058, 139617, 141767, 145329, 149318, 154015, 132042, 133618, 138119, 140880, 147635, 150699, 155113, 129718, 132494, 140193, 140583, 148341, 149579, 155927, 128402, 135806, 139515, 141370, 147583, 148996, 153647, 129667, 133399, 139505, 144024, 146787, 152326, 153111, 128373, 132949, 138248, 142939, 148371, 149451, 156219, 129708, 132889, 138859, 141846, 147543, 148945, 156458, 132151, 134177, 137197, 144499, 144721, 149175, 154464, 130334, 134971, 138026, 140709, 146386, 150314, 156264, 132151, 134971, 140060, 141310, 145226, 149175, 156751, 130758, 133914, 137729, 144584, 145649, 150944, 153269, 129667, 136032, 138144, 143203, 145196, 152785, 156351, 128634, 135126, 139681, 141629, 147494, 149639, 153406, 128652, 135450, 139386, 143912, 146813, 149632, 155352, 128859, 134503, 140117, 140922, 145110, 151961, 155908, 129045, 135076, 138526, 143779, 147751, 150217, 156387, 131826, 136274, 138786, 143212, 146520, 152157, 155849, 131397, 134525, 138793, 143784, 147322, 151161, 154129, 130096, 136013, 138308, 143080, 145729, 151831, 155166, 129045, 136307, 140075, 144352, 145045, 152725, 154897, 128969, 135439, 139893, 140608, 145277, 150729, 153298, 130124, 135253, 138128, 143651, 148352, 149517, 154800, 128634, 134009, 139263, 141577, 147706, 150369, 155669, 128898, 133558, 137007, 141616, 146138, 149900, 153007, 131543, 133636, 136893, 143702, 147258, 149579, 155370, 129106, 132684, 140003, 143018, 147792, 151176, 156285, 131713, 135745, 139506, 143787, 146816, 150463, 154208, 131397, 135109, 136547, 143274, 145756, 150247, 154030, 129552, 132369, 138740, 142596, 148209, 151838, 153325, 130124, 133797, 139799, 143195, 146475, 151965, 152925, 128714, 132965, 136469, 143138, 145795, 150514, 154756, 128850, 133618, 139003, 142039, 145114, 150252, 156805, 128634, 136084, 139512, 140796, 148414, 149734, 152976, 131286, 133452, 136655, 140582, 145040, 152636, 154134, 129981, 134991, 136604, 144077, 146554, 148781, 155747, 129045, 135116, 138984, 140995, 144753, 152750, 154066, 129644, 135034, 140266, 142433, 145906, 151352, 156414, 132173, 134273, 137276, 142622, 147517, 152825, 153651, 128484, 135214, 138240, 141082, 148189, 152570, 155979, 130124, 133217, 138495, 140804, 148564, 152399, 154132, 129378, 133268, 137141, 142120, 145134, 150289, 153801, 131188, 135498, 138721, 141945, 145183, 151743, 153328, 128564, 133010, 137479, 141378, 145906, 149822, 155758, 128812, 132766, 137527, 143829, 148424, 152831, 156101, 128584, 135665, 136764, 142618, 147914, 151932, 156248, 130462, 136136, 137103, 140599, 145846, 150645, 155067, 131222, 135147, 139412, 144245, 144996, 151540, 154789, 131884, 133779, 138465, 140974, 147525, 151895, 155580, 129288, 136160, 140034, 140945, 146156, 149790, 155436, 130960, 132665, 139035, 141107, 147340, 151323, 156859, 128346, 135185, 138093, 144358, 145349, 151757, 153753, 132343, 133112, 137011, 140823, 145844, 151712, 156763, 131223, 134512, 138658, 141589, 145739, 152266, 154449, 130296, 135871, 138880, 143029, 144943, 149081, 155074, 130854, 134284, 137922, 142570, 148397, 150829, 155961, 128634, 132700, 137520, 144367, 147658, 150177, 156072, 130486, 133010, 138108, 141830, 147358, 151096, 155910, 131222, 136262, 136973, 143663, 144700, 152477, 152848, 129384, 134217, 136511, 142227, 144658, 148755, 156182, 130524, 132434, 137232, 143336, 144948, 152103, 154630, 130124, 135922, 138251, 144266, 145695, 150638, 155038, 129589, 133779, 140534, 142580, 144657, 152230, 154426, 131286, 133407, 139226, 140656, 148393, 149984, 155907, 131424, 133728, 137187, 143032, 147502, 148779, 155418, 130124, 133928, 139715, 144391, 146816, 149737, 155902, 130096, 134669, 137981, 143065, 145363, 150131, 155664, 129738, 133952, 139527, 144024, 146051, 151666, 155344, 129667, 132949, 140143, 143749, 144805, 152226, 156573, 129378, 133686, 139181, 142470, 144686, 148760, 154124, 130835, 134218, 139653, 144568, 147905, 151323, 156315, 131188, 133146, 140001, 141576, 147791, 150356, 156740, 130124, 135626, 140263, 142623, 144860, 152315, 153190, 128634, 135483, 139589, 143674, 148352, 152311, 156135, 129552, 133619, 136850, 142209, 144657, 151074, 155484, 130124, 132369, 136968, 143564, 146138, 149379, 153998, 131289, 134901, 138433, 144569, 146849, 152549, 156807, 129989, 134942, 138228, 143512, 145044, 151657, 153118, 131223, 134931, 138689, 141265, 148179, 148969, 156378, 131155, 132766, 139569, 140640, 148592, 151894, 156178, 128368, 133550, 140079, 143178, 147970, 148760, 155870, 128608, 134789, 139186, 142982, 144996, 150080, 155565, 130039, 133433, 137722, 144408, 146191, 151080, 155108, 129621, 135114, 136706, 144190, 144704, 148996, 155973, 129575, 134475, 139351, 140998, 144971, 150149, 156607, 129667, 133993, 139790, 140754, 147359, 151491, 153359, 131286, 132708, 139789, 141824, 146770, 149883, 154248, 130854, 134661, 139430, 142878, 146389, 152269, 156266, 129185, 134378, 140150, 141403, 145298, 149293, 155566, 131822, 136011, 139557, 142058, 148153, 152570, 153179, 130964, 135334, 139396, 142330, 148183, 152362, 154621, 128634, 135503, 136919, 144645, 148130, 152451, 153129, 129811, 135536, 138694, 142178, 146673, 152362, 155450, 128634, 136276, 138543, 142877, 145906, 152478, 154300, 132116, 135114, 140012, 144433, 145433, 150382, 156457, 129552, 135665, 138766, 142226, 148152, 150252, 156029, 129667, 134805, 137801, 142254, 145517, 150982, 156731, 128439, 136242, 139332, 143979, 145237, 150719, 155750, 130124, 134138, 138207, 144536, 148469, 152278, 155752, 130598, 135561, 138575, 143242, 144946, 152077, 153805, 129667, 136185, 138786, 143962, 147525, 150712, 154795, 130128, 133578, 138858, 144136, 145357, 152796, 156827, 129575, 133078, 138227, 142232, 144946, 152751, 156415, 130124, 135974, 137155, 142360, 144657, 148788, 155653, 130147, 136084, 139917, 144121, 148589, 150921, 153735, 131200, 136403, 139115, 141389, 145177, 152145, 156696, 130124, 132457, 137049, 142212, 145434, 151589, 155192, 129813, 135147, 140208, 141101, 146664, 150361, 154516, 131286, 136046, 139621, 140649, 144816, 152154, 153403, 129667, 136161, 137747, 143155, 146364, 151121, 156165, 128812, 134635, 136462, 140558, 145250, 151535, 153798, 131188, 136387, 137020, 143696, 148229, 150339, 155307, 132146, 136381, 138573, 140837, 145314, 148968, 156608, 129667, 134951, 137559, 141658, 146548, 150973, 156934, 128956, 134873, 139613, 143735, 145774, 149346, 153738, 128495, 132617, 139433, 140593, 145723, 149176, 155741, 128945, 135229, 137909, 142063, 148667, 150048, 153750, 129552, 133356, 137736, 144391, 146861, 150905, 155374, 130928, 135493, 139914, 141318, 144782, 149787, 155212, 129601, 133741, 136491, 144496, 146320, 152282, 155951, 129518, 132900, 139507, 141510, 147226, 151757, 154248, 128681, 133869, 138909, 140701, 144814, 150329, 153421, 128868, 134121, 140261, 142974, 146386, 149294, 155013, 128258, 128262 ]

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

[ 128259, 128000, 32, 1764, 117045, 8093, 38404, 109128, 359, 114605, 13, 12103, 27990, 103838, 118606, 33077, 110193, 18244, 1394, 15606, 8305, 9831, 11, 379, 102855, 11257, 547, 113611, 103382, 7270, 450, 15606, 37947, 105534, 597, 58641, 84, 18578, 3029, 5964, 2448, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 138026, 143976, 146386, 152168, 156264, 132151, 134971, 137759, 141689, 146334, 150522, 154724, 131576, 133988, 137935, 143873, 146834, 151424, 153512, 129738, 134153, 136868, 142711, 146286, 152697, 156294, 128761, 135500, 137683, 141935, 146546, 152192, 154951, 129735, 134792, 138541, 143164, 146248, 149903, 154888, 129423, 132706, 140033, 144602, 147759, 150792, 153246, 129080, 132548, 139785, 143813, 145516, 149236, 153287, 130039, 133928, 137881, 143299, 146694, 149875, 155647, 129667, 135414, 136638, 144387, 148327, 150016, 154486, 129813, 135237, 137189, 144006, 148033, 152725, 155450, 131939, 135861, 136712, 142815, 147525, 149697, 155843, 132261, 134421, 138718, 142786, 145059, 148964, 154858, 129813, 136025, 138061, 143886, 147525, 152005, 153042, 129738, 135071, 139049, 143925, 146240, 152117, 154922, 128995, 135617, 136639, 140901, 144745, 148955, 154810, 129718, 134983, 136909, 144342, 146565, 152627, 155492, 131505, 132461, 136843, 142287, 147749, 150278, 154596, 130013, 133948, 140404, 140583, 146179, 151904, 155130, 131223, 132665, 136581, 143263, 145608, 149856, 154849, 128275, 135535, 140149, 142631, 146953, 150743, 155936, 130929, 134555, 137037, 144175, 147159, 152103, 156264, 129291, 135547, 138656, 143522, 144814, 151217, 152852, 131158, 133664, 137899, 140564, 146465, 149132, 154597, 132185, 135280, 138313, 140983, 148731, 149881, 153977, 132151, 133716, 136619, 142176, 145967, 152252, 154480, 131028, 133083, 140498, 143468, 147378, 149734, 155052, 132193, 133325, 140364, 143366, 145571, 152636, 153026, 129813, 133283, 138538, 141646, 147579, 149180, 154793, 130968, 134967, 139127, 140748, 146286, 151603, 156628, 129843, 135189, 139864, 142952, 148637, 151685, 152958, 129045, 134187, 138802, 142441, 145298, 149940, 154377, 129036, 133325, 140094, 143275, 148196, 150593, 156702, 131397, 136122, 136561, 142843, 147414, 149704, 153276, 131826, 132684, 140235, 141280, 146067, 150236, 153971, 129667, 135870, 139209, 141705, 146331, 152161, 154498, 129738, 135924, 139012, 142934, 145758, 150191, 153542, 130296, 132877, 139147, 143688, 147350, 151503, 156815, 129575, 136436, 138805, 143827, 144657, 151810, 156660, 129843, 135522, 136709, 141554, 145929, 151394, 154525, 130147, 136039, 136903, 143923, 147953, 150688, 155095, 129738, 132517, 137104, 141044, 146787, 148946, 156716, 128520, 133655, 139966, 141914, 147502, 152104, 154683, 131035, 135662, 138789, 141187, 145797, 150750, 156305, 128634, 133817, 138287, 144085, 145695, 151967, 153145, 131447, 133993, 136482, 142408, 146786, 148993, 155931, 129693, 133636, 140354, 144637, 147348, 152732, 153452, 129718, 134070, 139665, 140763, 144932, 152415, 155469, 131447, 134475, 139370, 144101, 144685, 152548, 156198, 131188, 136403, 139169, 142768, 147914, 150192, 155248, 132265, 135911, 139027, 142803, 148352, 149236, 155553, 130039, 133358, 139510, 143885, 144830, 151841, 153049, 131826, 136076, 139091, 143138, 147914, 151866, 155110, 129813, 133993, 136541, 140717, 145670, 152567, 153610, 132108, 134087, 138449, 141846, 145132, 152208, 154303, 129667, 132755, 137919, 142490, 148371, 150810, 154778, 131328, 135071, 138356, 141199, 148712, 152141, 156434, 131214, 132865, 137103, 142745, 146281, 152836, 156720, 129813, 132975, 137698, 143847, 148158, 152484, 154567, 129738, 133576, 137169, 144378, 145321, 151273, 156173, 129718, 132389, 138394, 142467, 146138, 149252, 154496, 129292, 133744, 138528, 141032, 148262, 150348, 154423, 129738, 134232, 140365, 143185, 145430, 150109, 155344, 131826, 132874, 138405, 142378, 145434, 151347, 155951, 131817, 135919, 140169, 142570, 147824, 151272, 154858, 129843, 135182, 137656, 142367, 145298, 149601, 155043, 131188, 136221, 138530, 143019, 144745, 149074, 154807, 129045, 136076, 139945, 142095, 147464, 149639, 156715, 129399, 135010, 138511, 141107, 147720, 148781, 155927, 128810, 135062, 138630, 140589, 147452, 148901, 155423, 129045, 135307, 139576, 140944, 148299, 150955, 153536, 131644, 133045, 137207, 142332, 145527, 150827, 153975, 130150, 133010, 136764, 144117, 146426, 151033, 156677, 130079, 133206, 140324, 144204, 148477, 151583, 155189, 130174, 132855, 138575, 141411, 146770, 150058, 153569, 131085, 135974, 138740, 141795, 146993, 152319, 156720, 128584, 134138, 138268, 144197, 145333, 150738, 152981, 131188, 132644, 138879, 142271, 147743, 150758, 156932, 130079, 136092, 137744, 143534, 145379, 152390, 156162, 130550, 134447, 139019, 143789, 146840, 149975, 153822, 129423, 135504, 137474, 143228, 145748, 148799, 153792, 128889, 134477, 139045, 141211, 148276, 152584, 156592, 128634, 132626, 138780, 141399, 146695, 152094, 155189, 132193, 134048, 138721, 141003, 146900, 148964, 153569, 129718, 133618, 140358, 141244, 144673, 150672, 154074, 129070, 132846, 139944, 142624, 148589, 150888, 156080, 131543, 135214, 139914, 140993, 145776, 149967, 153877, 130003, 133745, 139080, 144088, 146256, 149578, 156463, 132146, 135535, 138055, 144382, 147583, 149552, 154376, 131543, 133952, 137910, 142130, 148210, 151822, 154216, 130172, 135954, 138460, 143099, 147713, 149081, 154378, 130094, 132784, 139136, 144358, 146157, 149832, 153562, 130639, 132726, 136547, 142334, 145524, 152763, 156085, 129151, 134582, 138912, 140566, 145258, 149921, 156430, 128258, 128262 ]

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

[ 128259, 128000, 38, 101224, 101116, 23960, 2092, 4168, 28985, 5320, 18578, 63894, 352, 28985, 120991, 597, 5757, 121112, 5964, 276, 85226, 379, 69828, 2629, 110853, 360, 455, 11018, 102430, 112806, 597, 22026, 119130, 101813, 15606, 294, 30987, 266, 273, 37303, 28985, 126696, 75095, 472, 107304, 13, 128009, 128260, 128261, 128257, 128983, 135924, 137637, 141911, 144931, 152691, 154260, 131543, 132537, 137411, 143468, 145298, 150192, 155242, 131328, 133268, 139039, 142908, 145134, 152729, 153291, 131122, 133968, 139215, 141455, 148371, 152673, 155986, 129286, 133634, 138747, 143843, 148242, 152565, 156827, 131731, 136364, 138591, 144455, 148045, 152275, 154778, 132193, 134811, 140084, 143391, 145000, 149195, 155105, 129756, 132780, 136907, 142603, 148361, 149959, 156650, 128543, 135471, 138385, 143208, 147658, 150783, 154415, 131397, 132975, 140064, 144088, 145695, 149455, 154064, 132193, 134606, 139011, 144541, 147545, 149594, 154837, 131826, 134606, 136859, 140748, 146023, 151174, 153962, 131238, 135028, 138038, 144536, 145041, 151424, 156587, 131397, 132915, 139303, 143716, 144972, 152501, 153423, 128810, 136136, 139971, 144481, 145569, 148906, 153291, 131397, 133068, 138438, 141363, 147304, 151316, 156667, 130336, 134074, 140121, 144418, 147759, 150848, 156749, 129048, 133452, 136866, 140717, 146449, 151134, 154836, 128634, 135414, 137525, 143343, 148352, 152061, 155395, 132193, 132897, 140336, 144063, 146297, 151697, 153224, 131085, 132949, 137120, 142679, 145398, 149335, 153514, 128877, 132859, 139649, 144612, 145168, 151894, 155707, 130336, 133365, 136826, 143666, 145114, 150255, 155444, 129667, 132890, 136658, 143133, 147322, 150390, 156607, 130673, 135864, 139553, 143925, 146672, 150913, 156777, 129738, 136039, 138639, 142214, 147487, 150995, 156784, 128606, 136379, 138900, 143565, 147349, 150669, 156888, 130124, 136329, 136541, 142674, 148138, 152058, 154699, 131397, 132606, 140432, 141492, 147915, 151977, 153789, 130124, 134031, 137964, 141002, 146605, 149147, 153768, 129869, 134339, 137689, 142662, 146170, 152786, 153915, 129496, 133460, 139950, 140836, 145687, 150297, 155452, 130336, 133399, 139301, 144291, 147720, 151671, 153133, 130321, 133325, 139981, 140608, 145356, 150208, 154819, 131826, 136039, 139645, 144387, 147525, 149824, 155531, 128439, 136092, 138873, 141705, 144662, 150205, 155649, 129496, 132684, 137738, 142740, 145106, 151517, 156004, 128634, 133407, 140209, 141877, 147969, 151453, 154134, 129045, 134010, 139815, 144352, 147730, 149991, 154798, 131858, 134720, 138142, 143031, 147516, 152253, 156719, 129496, 132865, 138108, 141002, 144915, 150315, 156258, 131931, 135551, 137948, 142477, 145110, 150325, 154319, 129575, 136454, 136619, 142531, 146454, 152049, 155814, 128945, 133872, 138640, 142168, 148385, 152204, 154498, 128714, 133228, 137683, 140670, 145114, 151577, 155124, 129048, 134612, 137974, 141857, 145573, 150896, 156587, 132265, 133312, 136470, 143462, 145516, 152554, 154787, 130124, 132510, 140549, 144107, 145740, 152441, 156732, 131035, 134828, 139343, 143797, 148501, 149257, 156137, 128856, 133083, 138539, 144262, 145748, 149538, 153512, 130418, 133460, 139137, 142800, 148385, 150749, 155502, 129286, 134951, 136834, 142585, 145843, 148877, 153703, 129813, 134536, 138371, 142044, 145010, 148929, 154288, 128889, 134633, 139412, 141137, 144805, 149298, 155961, 130676, 134995, 140552, 144337, 148438, 148988, 152916, 130336, 133953, 138740, 142984, 148327, 150265, 156792, 129813, 133474, 138693, 141071, 144876, 149522, 153042, 131286, 132684, 137371, 142025, 148189, 149891, 153567, 130673, 135901, 136473, 141472, 145006, 150167, 153981, 132253, 135588, 139511, 143753, 147650, 148808, 156805, 129717, 133399, 139687, 141795, 145344, 150205, 154163, 130124, 132865, 139266, 140734, 144745, 151337, 154095, 131397, 135503, 138758, 142520, 146813, 152477, 153101, 129667, 132619, 140223, 142328, 147791, 152559, 154111, 131397, 134525, 137835, 140773, 146813, 148791, 155025, 128945, 135655, 138565, 141861, 146871, 150841, 155515, 131188, 134805, 139593, 142015, 145298, 149524, 155709, 130223, 134292, 138175, 142015, 145922, 148809, 155896, 131044, 134632, 138089, 141329, 145794, 150028, 156763, 128969, 134151, 139815, 142643, 145695, 152421, 154965, 128652, 132889, 137904, 143489, 146283, 151638, 156381, 129472, 134287, 139813, 143888, 148449, 151397, 155298, 128652, 135626, 140265, 143648, 144686, 149860, 156769, 129292, 135299, 137740, 144299, 147564, 151904, 154982, 132253, 132936, 140235, 144378, 147232, 151296, 155095, 131447, 135416, 139152, 144424, 145826, 150888, 154915, 129667, 132376, 140516, 143076, 147546, 152789, 156327, 131397, 135369, 137612, 140961, 145687, 150390, 155734, 130244, 135706, 137846, 144113, 148381, 149539, 154161, 128557, 135886, 137985, 142241, 147852, 152570, 155843, 131397, 134741, 136520, 140748, 146840, 152580, 156666, 131065, 133702, 136563, 141226, 146816, 152218, 154425, 128554, 135421, 137844, 143804, 146981, 152208, 153159, 130124, 134458, 138227, 140754, 144765, 150015, 155154, 131397, 133399, 137041, 142238, 148530, 150091, 154491, 130123, 133900, 136821, 143677, 146179, 149817, 154291, 131543, 134349, 136776, 141523, 148262, 149491, 153909, 130892, 135910, 137570, 142156, 148334, 152720, 155969, 128557, 133399, 138552, 141272, 147370, 152387, 153780, 129448, 135910, 139123, 143690, 147785, 151359, 154365, 130096, 134916, 139095, 141963, 145057, 152094, 153561, 129106, 136105, 138399, 141454, 148150, 151385, 156130, 130172, 135443, 137388, 140953, 145277, 149081, 153148, 131318, 133282, 137937, 140697, 147835, 150854, 153177, 132028, 133401, 137773, 142130, 145812, 151467, 154295, 131132, 134618, 137037, 144079, 145915, 152009, 153802, 128258, 128262 ]

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

[ 128259, 128000, 33, 63353, 13080, 9188, 379, 2756, 38404, 20934, 8318, 88, 34106, 13, 108379, 70, 2448, 102234, 9697, 15606, 121141, 29037, 13, 435, 3862, 3423, 16507, 102430, 67542, 258, 101023, 108487, 459, 101917, 37947, 3458, 102308, 20934, 4503, 106005, 11, 105039, 802, 8093, 4355, 103810, 117683, 5320, 1689, 17260, 450, 15907, 1565, 55809, 1468, 318, 13, 128009, 128260, 128261, 128257, 132247, 132788, 140367, 144531, 147076, 150314, 156264, 130334, 134098, 139880, 143976, 146386, 152168, 156264, 132247, 134788, 139880, 143976, 147076, 148901, 153154, 131187, 135481, 137075, 144509, 146226, 152667, 156742, 132265, 135189, 138802, 142391, 146630, 149494, 156923, 132076, 135307, 140039, 142244, 146197, 151766, 155530, 130063, 133583, 140299, 141177, 148600, 151577, 155673, 131312, 132751, 139289, 144352, 146966, 150830, 154661, 131244, 132451, 140273, 140872, 145496, 151953, 156883, 129710, 133309, 138729, 143882, 148620, 148771, 153238, 130835, 133933, 139203, 142996, 148477, 149418, 154351, 129045, 135324, 138021, 142298, 146035, 149150, 155054, 132265, 133010, 138251, 141789, 145691, 151337, 152993, 128634, 133268, 136488, 141678, 145882, 151566, 156351, 131286, 132895, 139894, 144528, 146861, 152171, 154258, 128889, 136092, 137268, 142355, 145687, 150192, 155892, 131397, 132865, 140127, 143696, 147792, 149975, 153090, 131826, 132865, 137992, 144635, 147811, 152786, 156376, 129552, 134525, 136631, 142480, 144805, 151179, 156644, 131461, 132910, 136791, 143970, 147925, 149491, 153228, 131044, 132665, 138288, 142563, 145528, 151597, 155520, 129214, 134593, 137870, 144373, 147331, 148791, 153998, 130878, 136080, 139794, 144475, 147294, 152464, 154919, 130977, 135321, 137264, 141568, 147162, 148756, 153067, 128983, 134318, 139983, 141832, 148731, 149881, 153271, 132185, 134047, 137815, 143942, 146336, 150131, 153282, 128634, 135001, 140315, 143688, 148600, 152438, 156317, 131039, 132819, 138239, 142283, 146925, 150467, 156699, 131447, 136446, 140315, 142460, 147595, 148786, 155131, 130893, 135018, 136630, 140691, 146966, 150538, 155185, 130321, 133407, 137587, 142281, 147596, 148906, 156452, 131826, 133655, 138492, 144525, 148644, 148770, 155649, 131200, 135904, 139272, 142825, 146130, 150626, 153768, 131397, 135206, 137750, 142760, 147914, 149096, 154376, 131543, 133756, 137632, 140975, 147271, 152329, 154826, 129496, 135118, 139051, 141456, 145185, 149726, 154154, 130223, 134878, 139940, 142926, 147761, 149322, 154278, 132098, 135947, 139714, 141062, 146773, 151715, 156762, 131035, 132457, 138787, 142926, 147724, 149589, 153137, 129448, 133282, 137771, 143909, 147713, 148975, 156014, 128969, 134565, 136598, 142032, 145153, 150517, 155233, 129106, 134134, 139642, 142153, 146816, 151365, 156378, 131223, 132665, 136991, 144285, 147731, 150038, 153703, 131654, 133524, 138462, 141616, 144693, 149700, 152876, 129243, 133524, 137116, 143572, 145188, 150009, 155957, 130878, 134637, 137709, 143970, 146500, 150943, 153388, 129291, 133081, 139426, 144475, 144814, 150868, 154336, 131158, 134434, 136951, 140983, 147204, 149655, 154724, 128868, 134318, 137972, 140715, 145606, 149175, 155122, 132191, 133318, 137000, 143710, 147962, 150629, 156857, 129738, 135538, 136616, 140947, 145178, 151054, 153936, 129045, 136292, 136484, 141802, 146648, 151569, 155898, 130702, 135980, 138266, 143701, 144745, 150908, 153773, 131826, 135126, 137866, 140670, 146813, 150498, 154711, 129813, 134441, 137889, 140641, 147117, 151134, 154884, 129667, 136040, 139866, 142807, 148152, 150999, 154030, 128634, 135946, 137603, 142025, 145304, 150591, 156351, 130751, 134070, 137400, 144536, 144805, 152446, 156070, 131851, 135442, 138729, 141591, 144939, 148926, 156070, 129667, 132457, 137371, 143479, 144745, 149659, 153986, 130751, 132865, 140479, 141632, 145648, 149999, 156862, 129539, 132877, 136975, 143504, 145883, 151792, 154858, 128969, 133064, 140431, 140945, 146540, 152624, 155511, 129116, 132890, 140273, 143222, 145648, 151790, 153987, 129738, 132834, 139507, 144134, 148335, 151975, 153437, 131397, 135237, 139958, 140600, 147525, 151415, 154128, 131543, 133928, 139104, 143474, 147660, 148753, 153385, 128957, 135933, 139558, 142477, 146912, 149427, 155996, 129738, 135147, 136553, 143741, 144972, 152319, 153989, 128634, 133495, 136675, 143474, 146874, 150759, 155433, 129738, 133368, 138667, 140872, 145299, 150491, 155849, 131397, 135221, 140095, 143138, 145687, 151388, 152902, 129667, 135237, 139236, 141446, 148327, 148963, 155626, 130881, 133120, 137360, 140583, 147549, 148998, 154707, 128969, 134821, 139316, 140627, 144657, 150179, 156049, 132265, 136190, 137544, 141486, 148152, 152794, 156542, 129667, 134805, 137858, 141586, 148099, 151134, 155113, 129813, 135483, 139049, 140861, 147359, 152101, 155535, 128969, 133311, 138765, 141884, 144654, 149825, 153051, 128634, 132576, 138027, 140701, 146811, 149455, 153070, 132265, 133226, 137702, 144559, 148580, 152060, 154095, 128564, 135829, 137474, 141457, 146517, 150525, 154008, 131289, 134226, 138449, 142477, 147607, 152637, 154441, 129387, 135763, 139386, 141041, 148135, 150638, 155556, 132063, 136196, 139349, 143168, 147098, 151875, 155677, 130178, 135889, 138939, 141044, 148214, 151091, 153177, 131223, 133320, 136816, 140643, 147835, 152282, 155860, 130185, 135140, 138227, 143186, 144805, 149300, 155549, 132265, 133847, 137158, 140967, 145751, 152044, 156020, 132259, 134166, 138137, 143523, 145613, 148819, 154819, 132265, 132992, 139722, 140859, 144813, 151248, 155456, 129738, 133641, 139687, 143606, 147099, 149866, 155426, 129423, 132835, 139573, 144026, 145260, 151844, 154176, 128543, 134076, 137711, 144369, 148380, 149669, 153962, 128520, 132684, 137490, 144530, 148352, 150702, 155516, 131103, 135442, 138635, 144026, 145298, 151671, 154800, 129273, 133268, 139695, 143818, 148364, 150792, 153160, 129045, 135626, 139522, 141435, 146084, 151550, 154007, 128634, 132502, 138134, 142755, 147914, 152039, 155177, 132193, 135071, 137039, 144016, 148278, 149499, 154878, 129738, 135010, 139496, 142299, 145153, 149104, 156073, 131222, 133010, 137850, 141823, 145298, 151554, 153986, 128772, 133268, 140223, 143015, 146135, 149986, 153603, 130319, 132753, 140378, 141322, 147615, 152374, 156311, 128329, 134408, 140307, 144403, 145646, 150619, 155426, 131858, 136349, 136871, 141632, 148596, 150942, 155320, 128969, 132923, 136676, 142016, 146966, 151044, 154411, 128634, 133172, 138204, 142175, 147377, 149177, 152931, 130835, 133968, 136544, 142445, 144977, 152045, 153407, 131543, 132510, 140339, 144209, 144972, 149391, 153458, 130124, 136076, 138918, 144253, 147494, 149420, 156439, 131397, 133574, 138462, 144094, 145695, 150113, 154880, 128634, 133407, 138667, 140559, 146532, 151977, 152847, 129045, 133407, 137662, 140782, 145695, 148881, 156165, 131530, 134906, 139471, 140741, 147727, 151831, 154858, 130321, 132874, 137362, 143223, 145974, 151566, 154858, 130226, 135674, 137322, 140772, 147310, 150028, 155035, 132146, 133870, 140087, 143209, 145695, 152020, 153391, 129981, 135626, 137268, 142825, 145017, 151880, 154858, 128969, 134498, 139944, 143520, 147042, 149552, 153437, 129045, 135214, 140406, 144178, 148247, 149327, 154937, 129813, 134764, 137632, 143587, 147749, 149301, 156327, 131039, 136168, 139620, 144244, 146201, 150066, 155770, 128652, 132520, 139413, 140982, 144693, 151366, 156152, 129697, 132855, 137585, 140839, 146033, 149466, 153201, 131035, 134290, 139030, 142283, 144677, 152652, 153330, 131778, 133517, 139606, 144256, 147549, 151940, 156703, 130172, 133240, 138598, 142533, 146033, 150177, 156463, 131652, 134562, 136687, 144024, 148061, 152459, 154376, 131223, 134562, 140079, 140701, 145608, 151581, 154228, 130929, 134512, 137226, 140940, 145511, 150515, 156366, 128258, 128262 ]

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

[ 128259, 128000, 32, 3209, 91166, 29189, 48980, 71862, 45356, 10946, 3862, 18244, 1394, 11, 112806, 15606, 409, 71, 7370, 295, 122346, 64968, 61822, 117045, 1791, 587, 113848, 485, 318, 13, 128009, 128260, 128261, 128257, 131529, 132788, 140367, 144531, 147076, 150278, 155746, 130244, 135379, 136748, 142343, 148449, 151734, 155732, 131328, 132708, 139790, 142863, 147145, 152776, 154910, 131543, 133033, 139201, 142519, 148465, 152330, 154569, 128520, 132899, 138575, 143697, 148580, 149325, 154942, 131778, 136040, 136732, 143196, 144972, 152158, 155727, 129738, 133938, 140248, 141952, 145929, 151814, 155109, 131007, 132619, 138542, 142419, 146766, 151411, 153727, 129045, 135793, 138526, 142326, 146472, 149812, 153504, 129352, 135154, 136736, 142776, 145635, 151415, 153904, 128339, 132875, 137817, 141125, 145257, 149610, 153884, 130487, 132478, 140443, 143336, 146787, 149491, 155710, 129813, 136047, 136677, 141537, 146777, 151543, 154884, 131397, 134499, 137900, 142387, 144794, 151577, 155029, 129884, 134631, 138746, 141462, 148249, 151093, 153974, 129496, 135442, 139317, 144242, 145237, 150049, 155708, 131318, 135157, 136905, 141330, 148334, 152404, 154146, 129718, 133452, 138332, 144530, 147502, 152585, 152916, 130336, 135811, 139027, 142434, 147599, 149375, 156777, 129667, 135034, 139763, 143474, 148207, 150598, 153234, 130673, 135864, 139042, 144134, 147525, 152561, 155272, 128436, 132653, 137693, 142058, 148371, 152499, 155437, 128339, 133959, 138692, 141899, 146482, 149638, 153824, 128562, 132859, 138892, 140932, 147365, 149781, 153758, 132151, 135912, 139902, 141310, 147076, 150082, 154552, 130334, 134971, 138026, 140709, 147181, 151016, 154179, 132185, 133766, 140199, 141800, 148242, 149673, 155488, 130418, 133677, 137771, 140763, 147953, 150669, 155315, 131939, 132949, 137157, 142612, 147758, 149547, 156805, 129780, 133747, 138534, 142158, 146035, 149796, 154145, 130928, 136404, 139317, 144034, 145871, 149729, 153057, 131900, 135307, 140189, 144444, 148035, 151687, 154669, 128969, 136424, 137839, 141403, 147595, 151574, 156096, 129045, 133208, 139875, 141217, 147894, 152319, 155901, 129644, 133517, 138988, 143895, 148181, 152313, 153423, 130751, 133211, 138049, 141644, 147298, 152834, 155456, 132288, 135340, 136554, 144183, 145530, 149195, 156853, 131447, 135202, 140012, 143796, 146965, 149295, 154262, 131644, 133146, 137595, 142030, 148122, 150188, 153178, 130096, 133089, 137331, 142334, 148126, 150814, 155959, 129552, 133228, 139736, 141792, 148045, 151910, 153953, 130124, 132890, 138359, 144436, 144715, 150154, 154885, 131345, 133875, 136694, 142650, 145114, 150304, 153008, 130321, 133713, 138162, 143311, 147857, 151503, 155988, 129552, 136369, 138536, 144452, 148152, 150891, 155335, 128634, 135126, 139662, 143943, 145029, 151666, 155145, 132253, 132889, 140326, 144149, 145132, 152694, 156824, 128578, 133311, 140224, 141133, 147220, 151371, 155229, 130589, 133936, 140451, 143849, 145573, 152579, 156871, 131884, 135792, 139539, 141044, 147543, 151718, 154449, 131561, 134948, 139689, 143391, 148401, 150151, 156060, 129045, 132658, 138954, 144454, 145434, 152622, 155131, 129468, 134789, 138250, 142282, 146906, 149451, 153851, 128969, 133893, 140102, 144088, 147349, 152652, 156329, 128634, 133305, 137732, 141403, 147881, 149783, 153688, 130336, 134573, 137557, 143631, 146651, 151062, 154974, 128564, 134821, 138239, 141053, 144756, 149845, 154843, 131035, 134315, 138190, 140749, 146139, 149350, 156298, 131417, 133728, 137630, 144147, 147400, 151940, 156509, 128983, 134643, 137427, 140951, 144721, 149754, 155435, 128258, 128262 ]

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