export default [
  77591, 94053, 60620, 45849, 22417, 13238, 102507, 179931, 43971, 15812, 24466, 64694, 28421, 80794, 13447, 118511,
  740, 6439, 164565, 160996, 29829, 65024, 115728, 46297, 71467, 26874, 47057, 19864, 228973, 57886, 62422, 50382,
  196661, 98858, 8131, 154708, 78537, 104511, 53134, 136579, 27689, 126238, 28199, 3679, 36431, 48892, 2655, 57939,
  44415, 38209, 7970, 34780, 14362, 51843, 23108, 52670, 19456, 36805, 408716, 129012, 106025, 12683, 780, 36702,
  96308, 73261, 165714, 94326, 2882, 15786, 65607, 80947, 49509, 13763, 104712, 13107, 21149, 137011, 223495, 30903,
  87173, 75141, 2533, 121964, 131409, 110026, 108394, 16009, 75844, 196819, 1440, 7629, 23676, 111231, 127712, 61087,
  121838, 51872, 29103, 7233, 30291, 24088, 110490, 92353, 17492, 113372, 16487, 97612, 2953, 9394, 210912, 8964,
  7564, 3852, 97455, 42207, 110620, 22643, 65016, 7253, 129477, 46969, 7830, 43238, 127283, 37807, 65596, 47230,
  53113, 68778, 42174, 3025, 72417, 113389, 61485, 3233, 165166, 23272, 207684, 1480, 109690, 77717, 146330, 35614,
  21200, 125839, 9167, 183529, 102125, 27762, 21718, 34784, 24049, 54922, 44135, 54112, 71504, 58952, 18652, 36112,
  90342, 97581, 105898, 116695, 25307, 71711, 19850, 443067, 72039, 164371, 99358, 141908, 26812, 37120, 222981, 92235,
  26715, 2272, 38699, 277092, 32264, 2507, 11509, 41396, 133800, 81066, 75726, 51643, 71161, 32364, 125073, 195906,
  88956, 8820, 58708, 60150, 171987, 43866, 50300, 27077, 51779, 41724, 18910, 42608, 24425, 59574, 40645, 30367,
  16671, 106324, 56018, 73410, 30251, 125091, 17154, 23172, 186294, 741, 111661, 148919, 247761, 71695, 148683, 76545,
  14202, 32826, 57291, 56464, 2121, 52187, 36887, 19845, 8465, 15701, 42227, 10603, 35024, 129005, 20364, 271992,
  4876, 54659, 43090, 48318, 85917, 40506, 60228, 35848, 169730, 2400, 19908, 21535, 3638, 2880, 105194, 37121,
  256836, 27972, 59367, 47659, 96184, 20378, 6352, 132486, 943, 210847, 347244, 42708, 18678, 161556, 4520, 63681,
  6583, 138160, 207565, 4182, 52907, 72891, 36505, 33320, 35807, 152018, 13288, 904, 112254, 139219, 23049, 24474,
  214097, 14830, 47960, 50966, 18796, 25821, 749, 61464, 11595, 123216, 5285, 37544, 9243, 80395, 22070, 63873,
  23554, 106570, 90364, 35779, 887, 61552, 55147, 3791, 268203, 76040, 13872, 53070, 382004, 149091, 9411, 70938,
  24590, 26314, 23297, 60821, 111335, 56198, 123964, 28317, 11625, 39656, 33077, 122186, 16619, 2762, 8556, 43622,
  29039, 54719, 141778, 30583, 102425, 30319, 55618, 4660, 69006, 75066, 46293, 24767, 97976, 8387, 5680, 68535,
  92362, 327684, 180600, 43548, 32552, 905, 167743, 10812, 63717, 48600, 4157, 19832, 41433, 44366, 169717, 362623,
  128974, 242972, 74944, 25914, 137630, 138732, 9905, 65119, 59943, 13001, 10439, 346877, 10019, 72338, 47424, 90540,
  13986, 32605, 74311, 36273, 35430, 43274, 490600, 15654, 33665, 40911, 16891, 132492, 108037, 118859, 30430, 45629,
  43799, 65831, 25824, 63966, 43280, 70552, 34778, 102075, 38195, 5993, 20515, 11742, 29078, 67047, 980, 30234,
  58629, 68076, 5792, 59696, 18265, 2627, 47407, 29302, 14425, 46647, 15604, 15925, 46832, 5440, 684, 42003,
  235538, 28764, 54452, 25101, 40830, 8023, 6501, 50689, 77881, 5650, 16800, 16147, 110717, 28112, 219637, 1634,
  58937, 32412, 88801, 6927, 3463, 157022, 94779, 442571, 325358, 276, 141280, 75559, 51300, 58421, 109559, 35845,
  47623, 321870, 24845, 42379, 117252, 19971, 14000, 130543, 19007, 191657, 1705, 32933, 10170, 64831, 2632, 89911,
  20540, 14737, 53476, 30106, 91237, 23474, 41156, 76048, 294813, 109786, 153316, 31289, 4951, 134188, 5698, 58898,
  79841, 8216, 13373, 150001, 56232, 83956, 179514, 40785, 36270, 150581, 38142, 36729, 128547, 27488, 48397, 32074,
  69209, 83991, 69639, 44375, 66275, 50325, 46119, 4588, 100156, 57453, 106674, 3707, 32063, 12250, 176480, 94462,
  73531, 42286, 44132, 42292, 34439, 205098, 23362, 170867, 80937, 18578, 35224, 8003, 28892, 73415, 50905, 36012,
  44466, 3377, 68122, 77350, 88595, 16048, 139321, 45304, 216307, 26958, 49160, 2333, 32583, 197092, 51650, 27957,
  49620, 28596, 32484, 40154, 16605, 3672, 19287, 14394, 82127, 113881, 101822, 55495, 45807, 22719, 49287, 17105,
  21630, 9213, 225560, 184754, 78726, 55879, 1187, 55736, 20235, 48276, 60072, 8055, 40163, 71435, 10613, 66014,
  111007, 30011, 11754, 32797, 96926, 8244, 35114, 58420, 5567, 8879, 4349, 36989, 72083, 27721, 80502, 31714,
  21665, 68483, 67000, 32243, 58844, 22490, 151524, 85501, 39419, 31544, 46585, 60252, 179767, 135313, 38991, 99008,
  48328, 21411, 230904, 25457, 42662, 73162, 35923, 104338, 51550, 37715, 30664, 24386, 5251, 34179, 21686, 23914,
  37811, 77986, 123822, 22186, 49608, 218194, 113768, 119158, 81056, 136532, 36573, 4335, 50854, 77454, 36591, 786,
  55513, 89905, 64981, 78223, 20922, 90512, 58000, 187805, 18891, 142810, 7204, 125174, 197409, 232663, 64781, 31572,
  164656, 137833, 103498, 55315, 32593, 91963, 91694, 30505, 71449, 150025, 16975, 134836, 220474, 56258, 1789, 23900,
  58919, 39771, 52833, 15954, 85682, 182360, 82050, 60999, 67854, 36289, 50792, 14607, 13758, 73909, 111848, 63880,
  35066, 107613, 145156, 26237, 3565, 8173, 214338, 1836, 61905, 82544, 35483, 19741, 214793, 18510, 3395, 10924,
  119572, 75264, 17466, 43207, 141419, 82668, 39303, 19609, 21504, 19695, 19065, 6944, 10302, 38666, 102996, 88789,
  27354, 75138, 70106, 135106, 67003, 20045, 60619, 54525, 46131, 115306, 12445, 86777, 32668, 68413, 32737, 64388,
  15165, 34095, 171569, 11093, 64871, 119058, 92294, 117952, 34450, 66009, 203796, 6258, 17821, 52488, 314552, 125812,
  2757, 95795, 15139, 46369, 11452, 76801, 3035, 9101, 34189, 14945, 7202, 149174, 5160, 74854, 169046, 30085,
  12257, 76562, 92934, 170882, 85523, 121128, 60225, 45744, 560, 62173, 205019, 128933, 53385, 94, 81804, 5962,
  65887, 9406, 75139, 46078, 119549, 87470, 126330, 115083, 135620, 90768, 93971, 66716, 312353, 69610, 203240, 65196,
  115979, 13452, 77397, 23, 122356, 131305, 48028, 43698, 10867, 95182, 47337, 60657, 193231, 4430, 32675, 100177,
  124537, 49701, 68459, 417255, 54783, 44031, 66481, 29365, 90675, 20969, 21022, 49332, 120791, 87739, 113524, 8715,
  4715, 33049, 64432, 86239, 142253, 763, 145381, 11942, 50943, 44118, 117335, 69368, 17271, 82615, 97767, 8516,
  43358, 61812, 117693, 77645, 25331, 71884, 62816, 56740, 4917, 126017, 38232, 39911, 120566, 45088, 86073, 19308,
  34580, 62715, 98835, 12238, 12878, 32818, 80514, 190672, 33786, 124897, 32390, 13707, 160528, 8239, 24113, 94911,
  32523, 8473, 305619, 143741, 4869, 226676, 116030, 72714, 301307, 245805, 49902, 13070, 104817, 63744, 25320, 14079,
  81491, 66562, 24649, 6335, 23276, 12633, 45891, 31344, 8832, 19031, 49267, 95191, 97911, 27244, 61726, 53839,
  31265, 81626, 4566, 137532, 52065, 115327, 11846, 252068, 7998, 22402, 10126, 209408, 49622, 16068, 12953, 24383,
  9715, 82577, 95468, 95106, 43998, 60754, 21093, 14837, 34091, 72540, 179063, 7433, 84587, 192802, 47914, 4438,
  20664, 45500, 8855, 16934, 69041, 12731, 29041, 217180, 29419, 22657, 137482, 2887, 53205, 550, 70043, 123839,
  10838, 164726, 42397, 184876, 58288, 26641, 22447, 12131, 116145, 22995, 97093, 108266, 6185, 2832, 52427, 64656,
  5154, 49928, 144137, 12044, 141795, 129976, 31641, 84599, 35924, 2502, 28404, 26000, 21307, 63600, 20886, 165871,
  144738, 353334, 45550, 4235, 43730, 54853, 149395, 14340, 12085, 6025, 82291, 127186, 8279, 7961, 81927, 74078,
  10002, 50016, 8795, 38560, 119, 45637, 190798, 21574, 133779, 97318, 19903, 27528, 199668, 1330, 66035, 21635,
  72938, 31184, 60710, 108060, 31768, 145285, 89744, 113430, 39176, 71121, 10578, 19002, 67875, 39253, 95870, 17637,
  38453, 35956, 214432, 92498, 9700, 51981, 75487, 140364, 44144, 248414, 34793, 35244, 4121, 13131, 29680, 132109,
  116048, 51552, 20482, 69742, 41733, 134398, 163626, 2676, 12868, 9786, 36799, 26675, 82669, 19252, 28098, 76936,
  92308, 127797, 49202, 5337, 128, 27975, 178978, 22753, 34262, 94544, 214584, 43276, 11332, 665, 58732, 8484,
  7712, 180682, 90181, 28567, 90764, 20944, 68372, 62049, 36141, 29920, 115786, 1365, 13553, 110638, 163556, 207080,
  71312, 250718, 214174, 18727, 77470, 23807, 32279, 108909, 117314, 4887, 61022, 41180, 96549, 116044, 1081, 78818,
  49135, 8305, 20213, 10021, 23602, 148923, 39033, 76575, 54468, 41625, 121743, 61361, 28605, 110339, 97381, 108784,
  6327, 58565, 37906, 2722, 62308, 42415, 120829, 226683, 17171, 16955, 32278, 42441, 67531, 82112, 7044, 8333,
  21319, 4625, 67693, 83024, 14105, 107392, 18658, 14247, 894, 35117, 78964, 71644, 107722, 11889, 4981, 16504,
  46157, 86476, 243104, 110164, 8503, 65279, 38377, 50730, 51069, 170106, 155778, 36441, 100472, 8367, 14072, 2456,
  45138, 1449, 85419, 56978, 15246, 51849, 58602, 75312, 14577, 34388, 14985, 214746, 35609, 94173, 205371, 29378,
  191464, 60659, 83825, 4266, 1757, 79901, 4005, 96090, 13364, 26836, 20634, 9902, 161349, 52221, 57608, 45087,
  32067, 12041, 24449, 122590, 91705, 4841, 5595, 1962, 81144, 94514, 7189, 65466, 52339, 115937, 30039, 184359,
  5408, 37938, 13094, 131687, 91066, 50656, 3538, 308588, 21983, 117880, 124083, 8740, 14157, 207581, 132848, 24615,
  100545, 35998, 13259, 94379, 4372, 221513, 9160, 14015, 26630, 42025, 87194, 4685, 129112, 37014, 5514, 1659,
  1423, 35031, 86869, 42243, 29676, 77384, 91770, 8949, 213626, 219087, 14943, 2758, 4397, 146113, 19935, 39810,
  88436, 21548, 15622, 47174, 99190, 170858, 31675, 22540, 6877, 25282, 66955, 39440, 49958, 3702, 59942, 3443,
  26122, 118447, 24469, 28429, 114348, 66350, 72579, 194, 60661, 14964, 70751, 30122, 29818, 134851, 14530, 25859,
  293118, 32210, 11158, 134437, 50042, 50868, 124554, 56791, 179738, 112687, 67437, 80580, 16400, 32499, 35433, 38147,
  163423, 62209, 109887, 21489, 89627, 8619, 37255, 42560, 31040, 3283, 221255, 26057, 43973, 176482, 84209, 74565,
  36638, 128029, 50150, 53376, 45952, 23372, 136030, 19408, 5153, 189398, 9461, 12142, 1894, 150004, 6947, 43095,
  109322, 74270, 235743, 8877, 1898, 12589, 62161, 150831, 134021, 76036, 32418, 114411, 12402, 9784, 152424, 2030,
  112077, 39948, 15299, 91532, 68309, 58254, 74157, 68071, 190269, 1807, 48227, 14614, 69866, 175786, 53526, 77245,
  31938, 86410, 49785, 5548, 107383, 26754, 6925, 99713, 11522, 112823, 36879, 191627, 105232, 112178, 9544, 115058,
  11248, 121092, 115523, 216088, 14868, 164602, 6984, 12211, 39852, 3557, 11388, 124397, 71707, 42768, 81029, 87167,
  186525, 134029, 24303, 29049, 16530, 60454, 1801, 70482, 38162, 186140, 17626, 75869, 106212, 3301, 149347, 83560,
  11700, 132692, 2213, 6118, 5130, 19621, 133100, 5413, 16608, 6316, 6903, 20826, 26998, 46988, 14742, 36801,
  59586, 438, 115651, 12542, 108399, 50888, 73600, 74851, 230033, 11883, 313836, 13563, 43683, 27664, 16986, 54266,
  48135, 20496, 78612, 90668, 82179, 65157, 159306, 244506, 2073, 113828, 34210, 8905, 5015, 124130, 30133, 30478,
  196684, 40526, 10545, 25933, 189293, 20827, 73483, 91579, 16378, 24561, 168921, 100351, 23452, 105211, 31749, 3947,
  8301, 235867, 175604, 4648, 35640, 22045, 10909, 12114, 11632, 81578, 50578, 17722, 214551, 40781, 131060, 242797,
  29240, 41868, 116245, 182350, 57644, 27787, 59645, 42511, 33137, 64292, 86072, 2870, 91949, 108278, 14903, 186497,
  55157, 48398, 10332, 2801, 52384, 20759, 10283, 88468, 117313, 23727, 138084, 65635, 5090, 14195, 126767, 300,
  17717, 38157, 16186, 114320, 89668, 96676, 9742, 203368, 49363, 5035, 28964, 65388, 82238, 67525, 39995, 13922,
  241035, 69735, 11154, 193950, 66216, 72997, 12434, 16882, 29066, 91839, 31743, 96167, 184088, 75620, 1030, 139617,
  97206, 15695, 244555, 101352, 62820, 44153, 114812, 120196, 26595, 72217, 5935, 28488, 4241, 7832, 101557, 27041,
  135635, 10308, 337586, 23855, 173672, 15924, 5051, 10103, 8202, 360, 45227, 30801, 459, 13982, 27256, 9104,
  71355, 53611, 81898, 79904, 146294, 57705, 99956, 35919, 29587, 21273, 89804, 41886, 3008, 100905, 29691, 22814,
  135385, 101754, 7790, 16486, 141203, 186158, 135150, 17125, 14803, 43200, 23042, 70352, 6634, 27432, 14596, 27017,
  45094, 251700, 107172, 92556, 69362, 224587, 20275, 239867, 50925, 67860, 22054, 35132, 546, 107574, 11246, 15583,
  51884, 52526, 41469, 90704, 62011, 30436, 4192, 20677, 83296, 40746, 43027, 18829, 234584, 59250, 10989, 12045,
  44515, 87149, 5814, 22428, 56050, 1304, 54193, 102712, 89476, 74967, 28363, 182054, 87751, 63858, 4667, 36435,
  19373, 13180, 80439, 20298, 12691, 59200, 175067, 68478, 149923, 65774, 50785, 75599, 19794, 24659, 40763, 18905,
  13833, 221290, 11814, 27472, 35846, 256569, 9769, 37905, 87557, 16393, 61774, 29056, 58339, 67859, 122835, 31673,
  2884, 29565, 225212, 50663, 19145, 154284, 7940, 13382, 25647, 46917, 107024, 18714, 12224, 8197, 11896, 129114,
  11024, 5323, 163976, 216168, 77338, 91508, 61901, 29134, 64608, 87645, 71475, 46110, 122297, 22635, 34837, 26310,
  53025, 53017, 10622, 90942, 7205, 22145, 163437, 101344, 36189, 355381, 3469, 59647, 36294, 29028, 61676, 33071,
  170779, 1619, 42455, 55588, 21750, 12494, 53664, 106939, 7739, 60501, 600, 42951, 173883, 121950, 75147, 44445,
  75192, 26282, 17177, 6729, 35664, 13478, 22319, 74388, 224240, 51121, 128054, 19973, 113121, 26367, 20959, 71130,
  30181, 27274, 83822, 65840, 26267, 141848, 7294, 161141, 27036, 20489, 14220, 74392, 117827, 12263, 18511, 12425,
  92015, 38371, 93826, 46517, 106516, 24959, 428957, 108509, 55628, 41208, 28538, 6694, 203549, 200020, 130157, 14026,
  67949, 261382, 34954, 75428, 60462, 34936, 69163, 8775, 60844, 95271, 14668, 58597, 35911, 163570, 17395, 41268,
  20457, 77077, 15920, 195151, 1820, 1127, 108523, 1201, 920, 64420, 142690, 3800, 19773, 18589, 25204, 114010,
  8738, 45928, 72305, 27317, 73173, 58181, 4109, 38698, 181993, 2002, 91269, 6577, 38521, 64761, 34725, 2779,
  98254, 99182, 109347, 42999, 76257, 42992, 2481, 76329, 46008, 9716, 174991, 37659, 92796, 26911, 126742, 21977,
  5384, 89414, 18739, 22923, 26868, 2989, 52591, 14973, 151566, 3554, 169141, 41484, 22124, 26749, 78963, 86727,
  2411, 21918, 43055, 36709, 15919, 32188, 39853, 31407, 186872, 106163, 35231, 3970, 180021, 86213, 133789, 47183,
  28099, 10825, 8315, 193036, 152961, 12221, 96811, 33623, 78811, 61925, 91812, 72246, 80237, 171243, 144270, 12504,
  62352, 69843, 208025, 139707, 102653, 182703, 42668, 65058, 74259, 143770, 10084, 32242, 184890, 53802, 20214, 60407,
  16792, 41310, 4184, 1636, 123702, 13335, 68718, 46717, 224945, 64844, 113887, 41497, 29940, 10587, 27431, 128017,
  19512, 17506, 17671, 26070, 75283, 42125, 47504, 37731, 14059, 88044, 36619, 847, 112691, 14770, 55376, 575,
  92811, 347152, 96947, 9385, 233329, 3093, 22326, 45207, 20411, 273167, 31247, 6125, 138569, 8663, 357575, 28073,
  53341, 234780, 21561, 48933, 109802, 48919, 46462, 50800, 50600, 21098, 18940, 1091, 134528, 14935, 2398, 127145,
  66747, 34702, 127805, 27345, 5529, 139548, 51994, 127312, 166531, 11082, 36587, 50668, 31578, 37535, 46230, 2150,
  64732, 41722, 91822, 21109, 67189, 47573, 20129, 8421, 1596, 16448, 126415, 81846, 126357, 140669, 1937, 32338,
  967, 39499, 14778, 48543, 167999, 24888, 12192, 41633, 206598, 60067, 160162, 11609, 109752, 3487, 45910, 15601,
  119431, 19179, 93578, 31236, 207825, 71291, 47437, 21034, 78791, 32425, 31613, 91908, 91938, 6225, 26499, 49240,
  10301, 34970, 12824, 99989, 27311, 35324, 133950, 14043, 24233, 61362, 22243, 35045, 252343, 28863, 12365, 8224,
  28831, 215245, 73325, 83362, 32812, 116785, 100940, 77100, 66002, 61855, 60149, 24654, 112267, 65835, 54563, 141839,
  90895, 174574, 34653, 8453, 8786, 174076, 167014, 20249, 8095, 14050, 68580, 299481, 16824, 48793, 24856, 15716,
  22866, 165280, 33060, 49389, 21813, 47387, 179304, 131281, 60507, 145727, 21710, 16780, 174833, 11187, 19174, 11577,
  19549, 89709, 114442, 11917, 130985, 53665, 52636, 32837, 117051, 78060, 79585, 45117, 52110, 74026, 86227, 52956,
  6938, 48219, 29286, 23852, 81923, 55204, 370875, 58300, 123864, 14993, 25906, 17004, 38061, 191997, 56608, 197099,
  919, 5046, 126484, 79803, 18680, 145935, 124511, 60333, 53534, 6979, 35404, 23791, 46739, 36466, 2445, 19890,
  112893, 35958, 11939, 45333, 161529, 38751, 76585, 129315, 85429, 125900, 37046, 110236, 26761, 13725, 20554, 21155,
  11900, 10186, 81185, 44323, 81121, 127313, 181376, 68138, 91968, 77284, 14617, 15815, 15390, 1425, 15586, 9037,
  217947, 19393, 2643, 291035, 56524, 1195, 154070, 7980, 1713, 2618, 18959, 70645, 6654, 8986, 122964, 149447,
  37089, 79358, 120676, 39867, 85630, 173326, 14161, 103857, 138866, 98205, 107118, 105847, 61850, 48312, 3318, 110656,
  16491, 22884, 29985, 202016, 75577, 7108, 49432, 450007, 16884, 60351, 28287, 31574, 98296, 153369, 5508, 59238,
  73523, 2766, 134247, 6922, 6140, 15761, 20766, 33247, 44645, 98662, 62705, 5296, 6062, 16713, 27012, 204193,
  36366, 4251, 6513, 1097, 29844, 148369, 4030, 44421, 57946, 57215, 45204, 63057, 37932, 100525, 276977, 104126,
  42472, 13150, 108317, 106038, 5266, 1004, 31351, 41691, 20834, 27119, 14871, 42058, 19309, 18264, 15714, 128645,
  33753, 97813, 14991, 36632, 127182, 38788, 23800, 23029, 134259, 141169, 22689, 9008, 35810, 85196, 80190, 175150,
  41805, 96633, 36654, 189935, 45878, 63838, 3242, 5356, 312001, 228710, 66129, 4509, 14881, 203932, 11812, 70030,
  47757, 276830, 122405, 33146, 49251, 2261, 162697, 5363, 120050, 24738, 211941, 21746, 44252, 31697, 2242, 4877,
  3708, 85573, 85060, 82434, 25856, 115291, 56583, 56567, 107864, 962, 58671, 54581, 120347, 39508, 201071, 94108,
  1228, 71194, 12513, 225594, 36550, 6911, 160283, 35838, 41682, 115576, 28022, 16436, 34496, 5034, 74108, 10228,
  47025, 11047, 141530, 3837, 8393, 65028, 55696, 31079, 173365, 61729, 57479, 106029, 246526, 10526, 54647, 134609,
  12894, 3537, 244, 16862, 161607, 118386, 60183, 141700, 35670, 22051, 179401, 24135, 90785, 29822, 122577, 87924,
  126572, 2459, 80584, 28905, 2095, 87804, 54240, 102268, 124731, 60006, 15202, 109796, 157033, 21466, 164665, 37695,
  58694, 81513, 83134, 208222, 554, 5651, 7656, 87297, 12786, 33576, 15075, 146538, 9642, 40949, 163656, 9760,
  4817, 21064, 83245, 14829, 16136, 95061, 68060, 24365, 47864, 1179, 105850, 5322, 174698, 19385, 5399, 111971,
  66992, 363067, 36771, 86468, 4639, 166195, 77004, 80406, 69284, 96401, 199722, 27643, 10625, 105066, 89724, 58878,
  40710, 29791, 24556, 99909, 27763, 9231, 35125, 110086, 51738, 12458, 116193, 41661, 30404, 41774, 96495, 7041,
  264105, 37287, 172797, 19867, 137904, 45042, 61041, 151622, 109882, 58327, 51284, 132939, 52487, 238, 24806, 356262,
  42824, 71570, 114506, 221874, 57514, 290906, 425324, 6771, 2740, 77666, 51262, 18017, 10479, 14457, 11137, 19547,
  146799, 74299, 1986, 193822, 107390, 66292, 13142, 8549, 16586, 41783, 4738, 83585, 88038, 9102, 61338, 33010,
  174951, 5451, 103430, 20873, 9410, 71603, 254445, 29027, 16185, 19139, 109385, 57580, 44158, 18457, 29275, 116743,
  5568, 32928, 91629, 19307, 40658, 229962, 46426, 15411, 46108, 30487, 67181, 20224, 12763, 92267, 69682, 41491,
  97385, 46327, 89571, 20801, 26175, 104473, 82178, 53280, 108859, 90329, 60749, 15258, 664, 104876, 189856, 72942,
  230732, 51261, 34901, 19996, 67470, 20008, 38335, 18089, 46663, 52358, 14286, 59726, 14395, 26243, 124071, 9514,
  50750, 71549, 45061, 44126, 141320, 2803, 58061, 44739, 93140, 659, 64128, 26178, 15361, 168531, 40344, 8977,
  47997, 172770, 68707, 16055, 55784, 23990, 20994, 19090, 6791, 21011, 244531, 47352, 307840, 16546, 63361, 164913,
  118569, 30189, 34941, 229229, 107326, 24202, 160409, 1575, 18056, 16156, 162544, 1298, 58281, 140814, 38998, 4285,
  260415, 19797, 24212, 11490, 54691, 125241, 149765, 53575, 8790, 98579, 39432, 49317, 73332, 17200, 47059, 6532,
  45633, 17042, 110013, 4418, 7511, 26786, 2639, 40536, 45674, 39902, 37280, 138726, 143373, 16114, 16063, 95339,
  14031, 18222, 148011, 134245, 11799, 36311, 103728, 15146, 94491, 24149, 24405, 126162, 35646, 2622, 13619, 190698,
  96544, 59993, 46574, 579, 14560, 43052, 125756, 11698, 26049, 139612, 76126, 94179, 32983, 27506, 5021, 32417,
  25791, 73423, 53795, 119140, 83814, 24222, 419, 60678, 42094, 36193, 71555, 167797, 231370, 39846, 78400, 68056,
  63955, 1124, 59895, 8546, 139212, 47144, 37860, 26891, 2359, 163343, 60583, 105848, 169908, 4972, 13013, 132896,
  3108, 44849, 132211, 4330, 183486, 14009, 10090, 75230, 105867, 102476, 3031, 44769, 28197, 21633, 23419, 68902,
  32941, 109556, 36098, 52255, 124968, 209278, 40772, 6698, 26402, 57023, 171822, 87578, 88267, 23469, 27050, 64577,
  149768, 71917, 89979, 16941, 23053, 7594, 106397, 125192, 3078, 35227, 9172, 18615, 19091, 182038, 12549, 48594,
  52924, 6894, 86017, 20427, 25383, 22580, 75986, 18233, 19209, 61027, 86544, 26111, 111548, 24619, 166688, 24272,
  97361, 51184, 78541, 14792, 3959, 2430, 71174, 280134, 24880, 85091, 19069, 48720, 235061, 148747, 27783, 40579,
  9099, 95152, 259500, 59221, 24921, 73721, 170222, 102157, 161254, 66033, 357515, 82190, 151405, 105610, 28252, 213067,
  20508, 97281, 6878, 87399, 7159, 45662, 182676, 27626, 34381, 71179, 112126, 12802, 20133, 56316, 50576, 70823,
  11434, 14879, 96554, 27582, 74036, 24193, 21984, 147179, 19974, 41451, 8452, 161213, 34769, 115, 18749, 115303,
  36585, 8710, 130627, 54462, 1076, 15711, 78215, 45693, 22454, 41595, 35658, 31785, 17354, 64339, 5699, 30987,
  38727, 113863, 1046, 127166, 235160, 27501, 82135, 137484, 111547, 143478, 71619, 20477, 96454, 65400, 93505, 9234,
  117448, 71966, 130201, 9407, 156940, 10894, 113917, 102178, 91330, 3786, 25046, 137247, 37299, 14204, 156671, 48589,
  7310, 119658, 1019, 3147, 26915, 389655, 28024, 29905, 117060, 110822, 603, 9922, 51369, 186019, 151553, 53930,
  22620, 65936, 33869, 50466, 61861, 18339, 116756, 22544, 322264, 178320, 134504, 32779, 106850, 51259, 7921, 18753,
  111694, 76143, 15475, 39056, 15091, 96327, 38933, 146365, 2624, 6183, 303617, 83865, 40345, 8720, 102137, 208016,
  300446, 153481, 62817, 17230, 177064, 59995, 17444, 96781, 1707, 62069, 105642, 215627, 27389, 113620, 8641, 39778,
  54792, 22640, 92614, 72033, 327783, 56938, 97175, 28337, 132669, 24810, 100695, 42694, 183543, 96612, 26568, 321,
  59003, 67147, 64475, 124682, 17744, 254962, 92433, 55393, 20603, 153319, 316603, 192699, 151134, 16030, 30713, 5369,
  106923, 79389, 15318, 196516, 53084, 229057, 32215, 2061, 71803, 15710, 68210, 36730, 279424, 61974, 109245, 21881,
  319816, 40889, 10178, 55054, 11579, 30821, 76533, 48007, 21946, 12530, 41523, 56504, 16728, 146955, 90643, 77497,
  38274, 58777, 12829, 83673, 72711, 24324, 131406, 209463, 5085, 14864, 2408, 146954, 83391, 104916, 53219, 39654,
  88646, 106083, 13930, 24286, 40159, 28744, 20399, 11792, 25027, 26454, 82556, 24039, 34680, 36361, 145006, 21872,
  10752, 107608, 27995, 36258, 12988, 66287, 75099, 84038, 54126, 38128, 56142, 14292, 30365, 99229, 9312, 5952,
  18338, 50601, 15454, 40761, 100445, 4866, 42787, 168097, 230674, 27, 4416, 59458, 44874, 21538, 13837, 21543,
  84974, 32659, 181908, 81485, 143877, 1443, 22510, 44084, 123253, 114222, 131683, 77045, 139372, 123203, 151023, 23972,
  28082, 30654, 30914, 61473, 91477, 143646, 51334, 8042, 144002, 18818, 47219, 30784, 13096, 53692, 57020, 125132,
  219729, 72133, 94451, 32149, 46016, 5231, 19109, 89053, 50029, 67191, 30812, 104508, 42377, 43699, 106368, 9836,
  14601, 54570, 18766, 12632, 6660, 155889, 71980, 75016, 58244, 83344, 7256, 100628, 58978, 56720, 58199, 118422,
  23918, 11726, 37394, 463, 88206, 139614, 253619, 539, 113611, 38238, 154196, 29350, 64452, 9692, 12873, 4429,
  17541, 32212, 6089, 18497, 41032, 117229, 60868, 14143, 10942, 926, 24793, 66470, 12021, 18956, 23792, 155539,
  49189, 11284, 84405, 157831, 10978, 12543, 64410, 50098, 40175, 82131, 32892, 21615, 37156, 5526, 99592, 36215,
  10947, 19241, 20602, 2093, 71709, 93588, 80808, 10971, 106894, 25921, 413, 34040, 112538, 180819, 118821, 72357,
  57007, 79329, 16870, 137412, 137486, 10245, 90727, 18898, 150608, 14622, 19833, 22840, 152719, 29427, 209294, 4232,
  40615, 60643, 170375, 22011, 7746, 28136, 332881, 60551, 279716, 193813, 38074, 19946, 13101, 16840, 117701, 27751,
  19524, 59518, 5857, 368, 28708, 105821, 12973, 27739, 40578, 900, 41397, 104380, 72320, 33862, 8409, 34652,
  1096, 35868, 72140, 8303, 182051, 82682, 33389, 5630, 94527, 27756, 204584, 39519, 51275, 31654, 10240, 28759,
  22833, 178542, 47192, 48182, 45164, 83416, 42256, 42796, 81917, 217466, 53292, 37786, 77519, 106347, 83381, 18672,
  48508, 13787, 77506, 13385, 5421, 76619, 372545, 27228, 140302, 83313, 3227, 42955, 37845, 66043, 76055, 149143,
  149830, 12497, 9759, 138621, 5587, 153959, 83576, 136204, 27579, 39401, 30659, 75311, 5357, 6559, 74434, 7707,
  428725, 26547, 2082, 18025, 248187, 41435, 176983, 82585, 6326, 238794, 27806, 33103, 206760, 30220, 62067, 73068,
  39814, 3267, 31130, 1487, 32585, 16095, 47315, 334742, 89923, 102036, 75915, 77001, 44341, 23722, 4933, 28107,
  288753, 33496, 67090, 13693, 284443, 67130, 6821, 12171, 96368, 120123, 128906, 6889, 31201, 197218, 124216, 25556,
  94189, 226026, 49191, 116420, 119504, 22368, 28238, 62479, 20359, 140859, 29908, 42319, 52073, 25021, 11717, 171363,
  103216, 48554, 148106, 44322, 179, 62550, 142748, 5200, 27934, 626834, 53683, 40353, 32801, 386580, 59130, 42350,
  96035, 956, 88884, 71218, 34111, 41335, 31551, 1556, 34309, 7435, 32506, 89091, 101326, 35050, 97836, 7566,
  18198, 14509, 235440, 30012, 20704, 338945, 90305, 62331, 210266, 5359, 86970, 67633, 37643, 51918, 7476, 35122,
  27880, 2530, 23516, 55992, 141873, 9269, 20887, 235173, 106000, 53315, 71177, 78367, 19414, 8455, 3948, 72358,
  56614, 93522, 50567, 6412, 167714, 32465, 101863, 1914, 66483, 142566, 61810, 14328, 107885, 75527, 21510, 22073,
  86602, 3162, 170297, 80142, 4379, 139776, 150756, 52344, 20796, 126580, 47459, 31811, 75467, 203428, 2360, 109945,
  4987, 40280, 38609, 247457, 5017, 131195, 52873, 51358, 118857, 25612, 54684, 86642, 26003, 82237, 10347, 74817,
  34308, 134385, 105661, 2079, 114428, 3924, 56947, 20197, 29198, 93080, 30441, 23003, 6686, 189968, 44029, 59712,
  29697, 69462, 47863, 6319, 73632, 71419, 54022, 228432, 3739, 11617, 144267, 6304, 69795, 159284, 38182, 88987,
  16798, 60652, 18367, 39753, 41504, 26776, 44767, 4986, 7207, 326091, 10211, 275129, 30722, 15983, 114324, 26287,
  21436, 250022, 386, 16493, 36735, 47994, 4425, 57498, 28067, 7086, 86124, 96341, 28545, 29897, 71934, 19803,
  3239, 94102, 112964, 21957, 11221, 53105, 41589, 82164, 36031, 6367, 42771, 2307, 41889, 128904, 54967, 59098,
  100010, 163061, 65256, 39405, 19247, 129504, 97081, 10279, 317673, 79950, 84866, 47576, 29495, 35727, 17138, 23769,
  174554, 168948, 28307, 137478, 6424, 65666, 84059, 28007, 129725, 112584, 87500, 22631, 53845, 9237, 125865, 12109,
  94986, 62791, 47377, 95747, 7955, 119822, 43499, 77478, 59676, 37816, 112528, 83870, 2604, 10721, 277540, 129593,
  191497, 1803, 103962, 39100, 19735, 137806, 184562, 831, 102214, 21611, 10860, 96243, 62954, 12392, 277571, 104806,
  23844, 21269, 30123, 51663, 11872, 3731, 70610, 110093, 179525, 50391, 26607, 87825, 261436, 17108, 19172, 65210,
  34492, 179038, 18937, 8799, 428, 29645, 11956, 61342, 78404, 376484, 132083, 73837, 142035, 103650, 20615, 4466,
  16747, 74934, 38480, 234599, 17246, 46547, 32844, 24552, 27578, 22737, 103773, 39027, 37021, 1234, 22307, 95862,
  33672, 4191, 11010, 27369, 57944, 36384, 94490, 7931, 26056, 163500, 146122, 22564, 135760, 93787, 61065, 30077,
  2369, 6137, 12659, 3122, 61674, 56540, 24935, 25675, 122066, 26194, 26305, 22069, 31327, 2064, 15705, 149614,
  19374, 89531, 613, 93086, 157065, 5730, 15360, 6683, 40553, 8430, 74835, 94791, 130982, 74032, 11372, 90140,
  69619, 36036, 16092, 112362, 71290, 44790, 23930, 155440, 38855, 195955, 61949, 49611, 72100, 9710, 26268, 41136,
  92903, 169781, 27353, 78082, 95940, 112981, 249266, 45995, 51422, 17889, 6210, 74226, 165999, 87787, 28659, 84558,
  65713, 42221, 17212, 99031, 57873, 122295, 227056, 76534, 50726, 57460, 287606, 77186, 7288, 29042, 88166, 172092,
  20272, 22733, 128506, 113493, 2081, 55443, 102934, 214, 42326, 28948, 53196, 24237, 22624, 21099, 13480, 39377,
  81120, 35325, 45300, 24047, 57914, 47609, 64670, 25672, 79352, 7747, 71834, 161803, 19447, 8688, 10183, 9684,
  1684, 6277, 61421, 45761, 72302, 118558, 18353, 10661, 11774, 128325, 16327, 2665, 302559, 70280, 76546, 45579,
  161481, 169457, 36438, 37410, 96396, 127007, 10776, 56760, 13692, 115406, 41747, 83908, 414988, 69549, 169745, 58040,
  3721, 62350, 104731, 13605, 79066, 14490, 121161, 108219, 56627, 83538, 32335, 35780, 46883, 23245, 40346, 24451,
  21150, 129629, 31758, 47729, 11747, 2392, 5660, 43534, 12184, 23309, 97227, 201922, 5856, 75935, 22492, 245478,
  113458, 122567, 38892, 52163, 176117, 98436, 387939, 127565, 84416, 26809, 1689, 44206, 52079, 78841, 20795, 5683,
  27933, 162169, 34126, 12822, 3354, 45811, 72520, 20811, 59765, 13615, 3254, 29527, 141359, 123305, 19887, 90838,
  2212, 8885, 33750, 29379, 216309, 13657, 7475, 88895, 2555, 55375, 35969, 66537, 23458, 112987, 1751, 75280,
  196722, 96722, 67717, 118130, 142463, 83824, 80129, 105478, 45701, 183568, 315287, 14884, 44548, 167199, 36212, 100715,
  28798, 95743, 42919, 6271, 19418, 59193, 16434, 72701, 215, 108179, 34472, 75818, 29916, 15862, 29177, 1351,
  9396, 129616, 4305, 86650, 10574, 51218, 914, 206197, 114226, 53103, 156910, 12946, 84475, 16322, 71666, 47108,
  13520, 81329, 27088, 120745, 18694, 174187, 3645, 72390, 34056, 18867, 220604, 95316, 4524, 97988, 41515, 586619,
  90302, 23520, 19632, 127752, 62930, 258836, 36988, 204585, 13539, 57180, 13517, 6044, 19407, 65336, 268952, 132299,
  77209, 53483, 3327, 22672, 7728, 50216, 2729, 12196, 38088, 36872, 5799, 111465, 9535, 11303, 51899, 76725,
  2263, 23913, 3675, 253827, 23875, 65387, 63019, 12817, 183945, 28678, 43266, 62072, 17750, 269599, 29961, 5765,
  26274, 6555, 2446, 55197, 67172, 1910, 71875, 19799, 10585, 1419, 27911, 88939, 28042, 167002, 124915, 104112,
  22199, 47768, 14066, 16710, 7478, 99068, 196517, 131507, 51331, 27291, 42046, 63842, 66030, 117306, 144818, 41353,
  26774, 14822, 38660, 171065, 192929, 121185, 116712, 28895, 31434, 3911, 52612, 111118, 25850, 18697, 65634, 4147,
  50197, 74729, 15097, 117548, 52926, 274499, 54590, 79384, 178158, 113803, 36365, 137334, 4679, 5949, 253573, 27681,
  181256, 356354, 65776, 146248, 70184, 2871, 18045, 156661, 229600, 6542, 22726, 9001, 9959, 34743, 33915, 7460,
  105594, 269690, 12482, 86077, 72158, 12017, 58753, 24594, 73974, 3029, 1912, 30079, 2726, 109412, 146145, 35326,
  35085, 862, 90862, 85609, 78087, 43053, 160170, 33043, 23284, 4515, 162825, 69896, 35568, 601, 13016, 1407,
  51713, 90134, 750, 45520, 155676, 21397, 168585, 187237, 5401, 125230, 5635, 89220, 27254, 54715, 98930, 113085,
  11966, 3030, 1855, 149700, 17569, 56634, 16775, 51586, 223253, 10938, 121033, 70787, 71993, 76450, 39521, 26162,
  103357, 94057, 56597, 26906, 111477, 293134, 42368, 24553, 55722, 30882, 11930, 19889, 30504, 35653, 6466, 203139,
  26034, 287857, 19452, 2522, 46774, 8228, 76457, 83553, 35392, 6216, 12166, 56704, 36285, 6768, 54803, 1726,
  214814, 6895, 182419, 26778, 41143, 53690, 13669, 45646, 163465, 22665, 198804, 39125, 1051, 54093, 61411, 31560,
  16094, 26798, 90341, 277777, 81044, 169520, 129829, 46588, 6636, 71429, 29098, 27473, 76489, 47101, 118137, 125121,
  179102, 29265, 57351, 60270, 20712, 59437, 33382, 18626, 39178, 70695, 80048, 54642, 35683, 106381, 97513, 43264,
  125177, 120906, 35533, 22522, 54219, 7788, 92290, 6116, 30617, 6801, 86129, 39209, 52994, 53661, 59735, 17738,
  25324, 24278, 105977, 13689, 50123, 36059, 130088, 54180, 2543, 36656, 87050, 59769, 87529, 20220, 367, 68705,
  58995, 26101, 26380, 43246, 10688, 79793, 82063, 59968, 125199, 31463, 19802, 62223, 12388, 70063, 151361, 3296,
  60158, 33268, 27121, 110554, 125481, 31240, 69489, 60334, 131646, 25391, 20034, 24248, 7642, 55281, 33709, 57581,
  133350, 77700, 27095, 3522, 65874, 30518, 61307, 126098, 3438, 49052, 9849, 78050, 97277, 50748, 175256, 49826,
  101450, 107315, 118984, 13409, 10075, 128877, 62205, 13193, 56344, 25228, 87810, 2143, 116821, 7648, 113840, 19459,
  50778, 131885, 88512, 13697, 60547, 58403, 210177, 34494, 98016, 51781, 47807, 12099, 106135, 16443, 16925, 19635,
  13859, 8422, 14030, 4756, 14255, 48634, 3275, 4837, 16300, 230472, 6616, 53129, 77373, 22360, 111581, 9662,
  173521, 71655, 15044, 5531, 8285, 190633, 62896, 54909, 45932, 34330, 16255, 17909, 37426, 152464, 256859, 18903,
  4054, 67227, 5705, 135855, 114295, 14380, 28822, 86386, 55947, 44796, 22159, 43163, 7703, 65450, 5829, 97182,
  39114, 652, 2216, 44468, 52, 74475, 73693, 208207, 51119, 111015, 105280, 42780, 128135, 3956, 13974, 30409,
  19714, 40616, 22185, 44115, 60715, 199079, 86742, 81192, 9554, 53876, 58171, 29597, 50492, 316379, 10539, 3453,
  88180, 23111, 24529, 93240, 2823, 46332, 22213, 8752, 118271, 197846, 6618, 8946, 52993, 21325, 30302, 17074,
  122625, 9575, 29441, 295253, 97919, 3130, 132791, 140156, 23859, 8941, 106857, 22772, 37895, 107740, 9471, 34989,
  25040, 85180, 21330, 47109, 33614, 110324, 23189, 24151, 32102, 171390, 19981, 29005, 20431, 121, 38106, 170174,
  3577, 46060, 182390, 13411, 9275, 119138, 47329, 30160, 15686, 30347, 7585, 10003, 43031, 29151, 20512, 144355,
  157741, 153623, 16851, 99315, 110358, 156059, 69556, 9859, 1884, 75126, 4225, 180276, 40291, 131485, 17863, 1299,
  125391, 75039, 111409, 31614, 13736, 31156, 97629, 65733, 5008, 14589, 129738, 29549, 64881, 29351, 75196, 52675,
  87336, 57594, 21161, 14655, 77381, 35333, 37937, 262082, 70711, 100777, 11065, 52574, 43032, 79308, 11911, 5569,
  49155, 8990, 20956, 71672, 118587, 90936, 6794, 2889, 70494, 14885, 17291, 20073, 4318, 33042, 38735, 27931,
  10168, 11340, 174780, 29799, 30126, 32276, 416159, 9138, 12580, 186182, 69114, 30093, 10524, 55369, 90592, 23723,
  280104, 31769, 43457, 134915, 104001, 3107, 52049, 3483, 145413, 4347, 87847, 8340, 2862, 22905, 12749, 10655,
  84140, 32339, 14853, 21123, 6603, 75082, 30462, 29877, 106005, 84964, 69112, 129634, 13566, 31377, 1731, 2591,
  12780, 75605, 9265, 203857, 11251, 95054, 43621, 106786, 42830, 115761, 76779, 15968, 571, 316548, 48436, 23152,
  179910, 24939, 4039, 62740, 82443, 162336, 105433, 153188, 13146, 12020, 11190, 145468, 469, 151738, 6924, 16613,
  42714, 25880, 5783, 38804, 32591, 110905, 81649, 189448, 265217, 122177, 28046, 8852, 424024, 1774, 13702, 37891,
  92553, 66876, 68996, 31394, 54721, 100409, 93602, 51349, 134100, 42960, 121568, 58272, 6007, 12605, 20028, 3624,
  15242, 25008, 65373, 95897, 114681, 115646, 2589, 33333, 59030, 148878, 4427, 719, 16718, 23118, 3261, 37212,
  85465, 55213, 20762, 7510, 200214, 136975, 141829, 8623, 85982, 9053, 8985, 13680, 55174, 20625, 8519, 15392,
  165013, 16648, 8679, 27707, 23493, 74409, 23572, 32138, 56964, 21537, 197403, 32462, 82529, 23420, 28463, 4528,
  109150, 117327, 76538, 9244, 32706, 84770, 24954, 49185, 27568, 3481, 35176, 25954, 82442, 152974, 131562, 69937,
  5350, 25825, 141497, 121347, 14976, 75327, 17713, 2839, 13165, 257262, 30030, 30105, 44890, 162261, 56625, 19734,
  60021, 19579, 1465, 101402, 21343, 50719, 82005, 23880, 33978, 2744, 4244, 16973, 17264, 25584, 4273, 85481,
  4655, 19471, 172622, 36425, 22328, 212066, 128477, 64373, 27819, 33935, 83439, 54538, 75730, 73945, 182416, 338,
  16567, 164442, 82351, 56235, 55483, 38729, 47137, 36504, 14510, 39166, 16573, 4712, 17926, 119742, 48289, 74781,
  45827, 314393, 143249, 63030, 150609, 33960, 254056, 83767, 3704, 81354, 45727, 6473, 7385, 36244, 6886, 18673,
  272531, 4187, 62156, 112398, 161543, 82887, 4358, 87142, 76904, 76583, 39823, 167961, 122163, 68178, 11770, 14478,
  52405, 50115, 29516, 109139, 2039, 4206, 65909, 23385, 19165, 89405, 28262, 22275, 41623, 3099, 70734, 12924,
  14423, 41773, 25426, 95066, 228354, 10150, 40311, 18456, 3369, 167019, 217588, 126793, 176360, 66455, 4269, 8444,
  85491, 121695, 17697, 323, 7122, 20991, 35726, 50184, 35789, 94066, 146437, 243045, 303724, 21794, 8433, 198209,
  4465, 23672, 80873, 33604, 13628, 46964, 2602, 33500, 2233, 8434, 6196, 25551, 55311, 64859, 90756, 733,
  118771, 16152, 16282, 13527, 20713, 42651, 69883, 78249, 10006, 70583, 164285, 102376, 221519, 42660, 9468, 65430,
  45115, 136780, 41566, 157119, 71021, 40395, 88297, 10249, 35650, 41778, 28731, 28138, 29775, 49179, 39391, 51182,
  7337, 14843, 4441, 103029, 10864, 81753, 72912, 49213, 20665, 88374, 112909, 1667, 21142, 63823, 38287, 19613,
  1746, 41069, 30542, 41967, 15080, 138315, 9822, 40857, 1624, 120146, 62254, 46115, 32449, 11046, 21374, 514828,
  10905, 260390, 38829, 21553, 105743, 7303, 96235, 38405, 229797, 32678, 23538, 112753, 7701, 37587, 64813, 15914,
  3940, 40782, 259364, 20373, 22997, 77967, 19173, 76602, 178467, 82126, 9044, 83531, 57208, 74018, 5950, 34656,
  389057, 21826, 6662, 16035, 39683, 55167, 129407, 79420, 59403, 152449, 39047, 31506, 63344, 27006, 12334, 147213,
  63125, 155934, 26422, 197447, 54847, 124681, 52392, 3641, 69691, 15548, 83724, 62974, 18336, 43641, 194003, 56605,
  56448, 6561, 195097, 103908, 3362, 8507, 99274, 120393, 37202, 12934, 69852, 54075, 18282, 7789, 50160, 102080,
  29648, 97272, 47381, 12391, 138224, 47286, 208664, 50910, 35867, 32185, 28804, 64164, 10495, 11850, 159760, 137513,
  5911, 76063, 12977, 6056, 28814, 21821, 2163, 130, 26653, 229563, 675, 34076, 31514, 47917, 92810, 44791,
  176702, 25297, 80044, 28279, 26550, 62323, 9943, 101265, 45621, 173758, 88568, 219069, 11734, 117073, 111186, 26075,
  4525, 39923, 16003, 12712, 40543, 7197, 150583, 16316, 73944, 199805, 158502, 7166, 121080, 2343, 53537, 17725,
  27858, 14692, 138991, 22323, 155561, 72448, 37087, 173360, 14887, 2310, 89844, 54066, 44670, 35610, 30471, 49008,
  30742, 32492, 123549, 16741, 8796, 69544, 57441, 97055, 107455, 22125, 10594, 123866, 113472, 2733, 85686, 54673,
  56369, 34761, 5044, 12915, 75581, 8965, 47647, 30073, 183777, 13677, 34414, 87158, 240095, 56678, 23997, 13674,
  133699, 17662, 364, 13753, 153299, 27177, 51527, 30243, 8768, 26167, 16767, 50595, 160464, 166312, 23739, 14534,
  26058, 9664, 63302, 110621, 49078, 86820, 10195, 18754, 103971, 41541, 46431, 27835, 21875, 167947, 172353, 12902,
  71486, 20686, 45374, 12571, 44888, 12274, 1818, 10422, 17156, 10122, 31744, 9367, 9678, 87337, 19033, 70558,
  89541, 21373, 2670, 9033, 123019, 13271, 234210, 43826, 102337, 11809, 135892, 7723, 3972, 64409, 19618, 54008,
  83930, 155668, 38822, 37966, 21245, 24138, 260, 246255, 87852, 28211, 156411, 8088, 109660, 68896, 82086, 248065,
  287918, 183132, 99271, 104331, 183019, 20735, 38511, 16336, 686, 18533, 18914, 36568, 10100, 17413, 11801, 17493,
  39177, 49978, 80098, 133024, 283941, 8179, 153303, 913, 11274, 22090, 73741, 81799, 24736, 36017, 34397, 5355,
  26793, 74880, 144578, 239455, 26214, 19233, 17629, 106193, 25995, 57924, 89963, 116991, 77011, 261582, 364267, 12039,
  141580, 15178, 36187, 9064, 4070, 21836, 104740, 12532, 23742, 192159, 139401, 14516, 46285, 50127, 9705, 30183,
  46632, 6312, 66032, 10073, 30700, 26025, 26702, 43421, 26669, 6136, 155289, 120269, 19056, 202531, 43062, 10321,
  35951, 149425, 302834, 15999, 115575, 92927, 51885, 95094, 174034, 1831, 20175, 39292, 56097, 9329, 155235, 20052,
  35463, 55521, 17719, 122027, 87425, 145479, 31818, 5229, 24575, 132139, 118737, 52992, 44245, 16168, 78384, 56556,
  38701, 11367, 88487, 19022, 82317, 214446, 53146, 132874, 85922, 28449, 40982, 81866, 281616, 112901, 26578, 190706,
  100333, 155311, 101029, 171716, 147697, 12430, 68023, 26065, 61503, 69034, 60721, 126933, 7730, 7965, 21463, 59048,
  84330, 17699, 17875, 37832, 8530, 54375, 218360, 53773, 59917, 9867, 92197, 54218, 61597, 39007, 87092, 58775,
  17173, 53529, 33744, 101641, 9092, 6126, 34354, 17856, 32658, 23212, 16624, 40012, 90288, 66804, 30957, 193996,
  193136, 3361, 126541, 62118, 39023, 18809, 8034, 19719, 20381, 66386, 64493, 20206, 56654, 11892, 180795, 70430,
  31132, 148921, 124862, 23413, 7779, 38708, 40301, 16544, 1919, 80033, 29947, 93475, 1375, 135168, 156926, 69211,
  117128, 57078, 75276, 39285, 30819, 18464, 3044, 51097, 11169, 214069, 300112, 18592, 40938, 132884, 51336, 55473,
  23935, 202263, 99605, 7252, 115201, 18984, 268130, 87746, 101155, 21993, 7612, 2978, 151034, 53745, 151729, 174929,
  4835, 64678, 53387, 27068, 11231, 14136, 30257, 163776, 74550, 15754, 8669, 6350, 89388, 45349, 422995, 68021,
  59951, 87642, 86425, 54667, 91704, 28427, 56079, 64527, 107312, 2367, 6715, 32058, 167882, 83377, 9472, 24984,
  115062, 35722, 33140, 156862, 12732, 24084, 23697, 34539, 72738, 20672, 102578, 11210, 88703, 7244, 19853, 19168,
  464019, 27128, 46941, 50269, 158267, 8850, 158112, 51669, 57995, 41368, 58379, 14134, 60496, 91738, 13630, 44359,
  737, 15344, 120328, 46261, 14371, 8214, 53796, 49253, 123867, 56387, 104801, 7333, 4174, 48503, 43922, 3083,
  243339, 116418, 479757, 153147, 159946, 19349, 47019, 17868, 7568, 17831, 7985, 56769, 16025, 112323, 7079, 40969,
  134556, 11297, 18538, 58669, 110916, 153620, 73377, 72354, 38103, 205536, 68495, 102706, 191, 10869, 164292, 31753,
  80226, 87342, 114379, 12760, 88794, 19334, 85112, 20828, 29688, 22880, 32405, 3197, 27230, 29826, 77087, 46535,
  10454, 11432, 110215, 23620, 76308, 72189, 116329, 168613, 57647, 19673, 10378, 1049, 77409, 28757, 24133, 588,
  113483, 16684, 61242, 31088, 66864, 24674, 161602, 3529, 14745, 90530, 299150, 6673, 19808, 84006, 14057, 114223,
  12023, 167545, 57708, 91489, 46583, 15662, 2782, 13163, 84805, 1309, 47528, 68166, 16015, 48871, 44523, 145426,
  17102, 65184, 54856, 101626, 2231, 162868, 38087, 134570, 20611, 72893, 296437, 103821, 3547, 51502, 32402, 63371,
  95740, 8947, 63165, 25224, 250131, 70323, 10235, 39906, 34559, 51697, 134092, 90702, 108894, 201322, 13521, 98255,
  8498, 173210, 61323, 5939, 15853, 2071, 83348, 11131, 159169, 47234, 2625, 1728, 148920, 59236, 14351, 20915,
  20942, 19005, 8569, 220082, 2813, 129877, 76369, 208632, 93160, 15477, 19266, 71454, 45188, 37118, 21981, 734,
  210613, 24054, 1267, 258926, 45531, 14333, 1358, 4214, 52587, 73176, 70405, 3934, 149062, 67102, 129336, 24604,
  39782, 144525, 88004, 81838, 28194, 51093, 36216, 42928, 57849, 8118, 2715, 191067, 60965, 105811, 65180, 7052,
  84954, 70694, 46912, 219608, 89766, 22029, 26626, 102536, 84453, 50777, 25605, 105083, 100927, 20688, 87599, 26842,
  16501, 4589, 1582, 37485, 27658, 50645, 120746, 2335, 165311, 11419, 118946, 1635, 103841, 81324, 26376, 135646,
  54192, 116632, 21545, 33403, 207341, 58353, 177692, 33129, 19558, 9632, 75823, 7780, 20084, 107884, 116296, 109946,
  319622, 58315, 14925, 134360, 5672, 15528, 113198, 68474, 205467, 66116, 49681, 2705, 98462, 83417, 21258, 159469,
  61849, 81586, 62636, 15482, 36279, 20980, 9940, 193129, 13609, 130807, 18949, 73964, 147177, 131897, 86637, 146769,
  24726, 30328, 30775, 29789, 165015, 16356, 4333, 5505, 209489, 79847, 8748, 132099, 59591, 103870, 50045, 162834,
  31157, 71923, 122346, 6112, 6551, 139841, 45179, 43676, 117580, 19506, 44727, 106994, 75060, 69628, 17203, 46010,
  141146, 9659, 247052, 66602, 277310, 21659, 46258, 176126, 21072, 87, 20184, 63737, 22023, 124145, 55015, 107649,
  106474, 147290, 65612, 13076, 63041, 16396, 150430, 62688, 137443, 6987, 49604, 88814, 122965, 88723, 27058, 177180,
  68371, 34502, 30567, 11200, 5383, 48204, 26504, 19554, 42146, 47062, 6975, 51017, 98961, 25976, 71879, 161741,
  113467, 13050, 91074, 277058, 30863, 61884, 41533, 46948, 23794, 16521, 149829, 35815, 4843, 40881, 56017, 95769,
  99630, 72286, 99851, 13623, 30392, 51474, 63363, 63865, 82679, 1059, 168866, 25195, 13699, 121522, 234449, 35601,
  241612, 30212, 73616, 264919, 33601, 161573, 60734, 72643, 93146, 104874, 19083, 97309, 24319, 146272, 53100, 87181,
  18643, 3074, 12143, 84691, 32155, 10902, 38113, 83987, 95669, 22320, 37308, 44763, 40440, 203540, 152769, 7319,
  15333, 37687, 43812, 63607, 34089, 899, 246178, 71268, 67799, 16016, 114972, 58528, 142144, 3955, 144552, 72635,
  58245, 136701, 104014, 243, 38633, 62199, 14295, 9747, 114531, 27309, 21640, 159861, 117400, 124053, 13195, 210463,
  77861, 81073, 239628, 226797, 188726, 25428, 49381, 139825, 5507, 45355, 15269, 48541, 2568, 12101, 40308, 1768,
  8853, 78278, 55853, 27498, 10987, 12866, 22855, 16207, 107222, 28940, 68976, 28505, 2663, 277982, 71506, 191712,
  2421, 165066, 37699, 52827, 11530, 112085, 187070, 14784, 13345, 2370, 197969, 71689, 30075, 93786, 97183, 71992,
  41785, 19656, 26541, 5218, 118661, 37497, 14909, 185795, 104786, 64176, 31138, 67561, 17459, 21130, 111703, 11368,
  12490, 45880, 38409, 147530, 16281, 12336, 20898, 10505, 71936, 39455, 49254, 62813, 193555, 86430, 18811, 97787,
  17431, 50448, 85973, 4047, 5944, 9900, 65788, 238170, 71758, 45771, 89284, 65578, 26485, 49627, 32381, 33713,
  77317, 8559, 35413, 14870, 20803, 34468, 81897, 94234, 367167, 24080, 137854, 191387, 158, 7578, 65751, 15809,
  7362, 17010, 196493, 65502, 93430, 391382, 2879, 10420, 11735, 7147, 23542, 17615, 172445, 156086, 37413, 42670,
  46002, 31761, 57780, 41672, 11532, 25360, 90866, 49967, 54482, 3553, 67022, 173415, 930, 48911, 25321, 44848,
  62911, 34519, 229774, 187702, 2235, 26813, 21693, 1315, 23004, 97752, 23681, 170907, 179236, 168028, 11780, 33446,
  4764, 8196, 13633, 286646, 101859, 29094, 37084, 18677, 208113, 11037, 67253, 68845, 22477, 60395, 22179, 83654,
  55163, 30814, 111690, 84894, 95579, 111070, 15123, 2301, 14098, 14628, 22693, 64944, 67320, 32427, 113228, 8450,
  162556, 30175, 61058, 80543, 90709, 143529, 88741, 208523, 156949, 1923, 33966, 23151, 3826, 241299, 16138, 83350,
  57492, 27183, 107353, 138052, 4025, 107597, 35297, 67773, 34092, 30452, 43300, 6957, 87442, 94684, 16965, 217438,
  104565, 70559, 98891, 21648, 6718, 16784, 149691, 99066, 186015, 19497, 66551, 37693, 28214, 16720, 64083, 40532,
  14209, 87486, 1612, 145702, 10039, 70355, 14323, 130951, 107186, 119516, 74814, 104148, 233912, 48066, 30803, 17404,
  58877, 26118, 50223, 44594, 81637, 205665, 99360, 81833, 55265, 26920, 28438, 30781, 39828, 1038, 31826, 48903,
  6194, 56604, 14761, 59828, 145813, 74771, 74706, 51758, 50831, 37050, 3597, 24506, 105849, 6593, 4154, 16139,
  4974, 46766, 28473, 30674, 88319, 27775, 32504, 6677, 122296, 25830, 25628, 152679, 10272, 18637, 3167, 49269,
  197216, 13892, 17101, 74035, 95714, 67486, 53321, 82319, 51540, 39761, 17803, 187333, 72418, 71349, 30143, 35120,
  23324, 149892, 42804, 9890, 91555, 30670, 7507, 27360, 8743, 12725, 15462, 94244, 140452, 44821, 17416, 38926,
  250249, 54572, 82822, 54752, 51666, 63387, 47442, 57021, 34124, 37290, 40715, 29430, 7229, 111417, 75006, 22299,
  38592, 3207, 31696, 25882, 129641, 85221, 119327, 11951, 78169, 25237, 51044, 149983, 174242, 9947, 220995, 4324,
  22464, 397659, 78193, 25301, 149964, 59306, 234039, 11815, 51450, 116927, 58974, 159239, 14034, 75956, 10213, 91547,
  10026, 88574, 19060, 33083, 95376, 47430, 31034, 61653, 26190, 36085, 5131, 14374, 120062, 15192, 280008, 9263,
  14401, 19099, 200440, 66652, 8700, 156222, 62663, 66966, 265, 110, 148040, 36034, 31386, 104323, 17822, 32638,
  143573, 164335, 16580, 50402, 7203, 38721, 213812, 21515, 229889, 8504, 38602, 75516, 61567, 60579, 12745, 46326,
  4227, 18582, 60229, 59397, 140981, 39037, 55638, 17735, 2466, 3755, 51288, 30552, 72052, 186323, 70031, 82764,
  10787, 256, 117464, 143130, 10062, 6313, 63167, 28509, 30958, 1511, 26452, 130270, 6099, 62843, 2008, 134723,
  38471, 103714, 11981, 137269, 30103, 21650, 155870, 27623, 23202, 21416, 31748, 136202, 208101, 42177, 21612, 97179,
  70847, 80823, 26151, 15957, 467, 19669, 80201, 152985, 58934, 49413, 43187, 165152, 32271, 3413, 278897, 95326,
  32984, 22407, 4165, 5889, 36637, 54267, 154498, 84424, 24107, 32263, 13642, 61899, 30771, 48906, 53541, 77288,
  17109, 68812, 133945, 23919, 73353, 73829, 91032, 251994, 13650, 62276, 107145, 232161, 2098, 1645, 1664, 247395,
  157040, 42258, 5942, 117930, 67366, 16060, 9794, 122685, 66904, 16976, 197964, 13983, 106018, 68009, 103583, 28958,
  265380, 17355, 73225, 43935, 107238, 21443, 155998, 64685, 18535, 31098, 26652, 188152, 44025, 21291, 51390, 24741,
  32681, 22989, 67962, 69432, 144983, 171068, 156235, 7891, 62505, 30254, 83172, 66755, 91295, 123868, 35802, 115707,
  56120, 334807, 135497, 21871, 3082, 226529, 127778, 48841, 77508, 143672, 108714, 27565, 10322, 144014, 44830, 149778,
  63023, 9719, 13437, 27943, 36700, 13695, 163539, 196344, 81885, 30099, 44647, 4703, 224127, 11553, 28255, 159827,
  16721, 24326, 85789, 18228, 45023, 10808, 22936, 17273, 239261, 46240, 15558, 55286, 111272, 53778, 10007, 200688,
  13852, 33199, 25937, 118127, 7866, 95568, 13550, 69075, 149243, 18187, 18054, 139272, 204199, 48032, 9916, 53168,
  32309, 66646, 20390, 30523, 22084, 55674, 32559, 215681, 42029, 99514, 103068, 63726, 38316, 8856, 122667, 9308,
  126644, 295281, 11559, 40999, 104973, 114406, 69105, 9022, 14406, 80819, 104640, 60160, 43454, 8575, 34276, 11096,
  67322, 37022, 36926, 101052, 61310, 36620, 61086, 109693, 15789, 9610, 221009, 16189, 40285, 3194, 57111, 7696,
  24026, 1071, 17787, 219517, 181047, 102229, 1436, 19143, 6301, 110183, 37601, 45487, 70927, 56572, 105459, 74084,
  23319, 69989, 91217, 16551, 115823, 99155, 38977, 40934, 27248, 94397, 86590, 107504, 66693, 29641, 1379, 47255,
  115875, 1054, 8435, 39144, 278566, 3140, 317123, 121774, 63007, 54, 8414, 27632, 146844, 17916, 144167, 46464,
  56841, 9985, 60753, 54973, 59007, 15854, 105030, 302270, 87368, 102284, 52117, 2320, 180001, 24004, 45415, 28122,
  22370, 12080, 4179, 143103, 42114, 5196, 9147, 23819, 80605, 58583, 158409, 10286, 12022, 7119, 150321, 118598,
  10374, 25544, 101645, 10354, 308, 97195, 61157, 56511, 25079, 3266, 28236, 118492, 14689, 20295, 135126, 19093,
  12618, 57448, 107655, 29480, 63368, 199518, 134395, 42712, 7936, 62939, 58228, 35501, 264973, 47880, 112138, 63936,
  212291, 63680, 36241, 9561, 136713, 9208, 3926, 120889, 95999, 43551, 83774, 6921, 105801, 11525, 3247, 91697,
  18965, 18822, 61436, 115290, 32075, 47003, 24387, 26636, 48700, 190949, 19812, 48361, 52230, 62488, 108527, 105631,
  35119, 118159, 8412, 2552, 96912, 124705, 45876, 32587, 32992, 107747, 77489, 51983, 8586, 88880, 11803, 52063,
  16606, 162643, 143626, 89658, 101333, 22654, 101310, 38641, 101812, 20259, 123750, 2503, 14969, 219100, 8690, 57801,
  39930, 59910, 37399, 71781, 759, 10810, 116498, 88252, 193090, 2214, 139472, 14511, 27387, 12596, 1241, 7718,
  42914, 11603, 116092, 73428, 12937, 23266, 15835, 53439, 5058, 18649, 34255, 102275, 62646, 29092, 74301, 111969,
  64528, 103339, 89133, 263917, 38624, 31458, 186803, 51532, 25743, 71285, 12736, 12343, 37502, 180824, 143025, 172311,
  3716, 6203, 6498, 22229, 4435, 2166, 66689, 87857, 30352, 26521, 32385, 19406, 178687, 47754, 51273, 121646,
  26461, 8198, 36440, 4640, 132611, 45114, 31837, 69521, 42002, 24437, 25080, 46669, 138442, 89271, 46945, 24420,
  35833, 124503, 8025, 46899, 59582, 24849, 44172, 115277, 16345, 29941, 42848, 14801, 8048, 26136, 36090, 41362,
  60319, 2074, 33712, 41656, 49349, 63229, 13209, 66031, 309, 4824, 48391, 36461, 47800, 73514, 39421, 155688,
  49739, 46104, 1216, 56340, 90482, 5712, 163879, 113513, 26405, 9919, 71117, 80878, 34470, 7576, 186, 167527,
  63786, 17343, 68724, 45616, 32479, 50203, 8150, 47235, 85028, 41439, 143352, 4168, 39866, 18661, 19475, 52046,
  47846, 51344, 13929, 353722, 11649, 34406, 89897, 29002, 23934, 68639, 14094, 75872, 29466, 43863, 63280, 169603,
  2816, 5244, 32027, 29855, 42864, 45790, 121470, 68468, 31828, 7242, 12594, 14488, 7410, 33485, 88169, 76478,
  74885, 61809, 68536, 70978, 49632, 26100, 42262, 112129, 47629, 15034, 77852, 1153, 111801, 32807, 15276, 117727,
  90749, 35188, 38118, 105626, 19536, 124809, 8721, 101778, 18767, 7320, 62401, 5488, 105764, 8155, 101412, 36533,
  59606, 23477, 13883, 40321, 21223, 13491, 12275, 43235, 10746, 12781, 61840, 152362, 76298, 7826, 23347, 19020,
  22220, 93982, 66332, 35455, 39408, 6329, 112746, 96397, 7190, 38758, 5458, 105620, 79654, 98403, 59395, 11902,
  64856, 56883, 35273, 53643, 11602, 20326, 70616, 82969, 82156, 35788, 123268, 58910, 272765, 24592, 15867, 1454,
  17079, 21042, 67057, 18817, 70089, 24840, 111862, 91164, 245473, 26466, 103325, 34583, 51813, 59727, 75940, 43370,
  184407, 39378, 10508, 122637, 384678, 128473, 172589, 103341, 1576, 55027, 79993, 6639, 122249, 56459, 5014, 77265,
  5064, 51717, 32582, 2149, 27481, 34880, 18933, 503, 6188, 76698, 48184, 81280, 25790, 6378, 5599, 159007,
  74361, 6010, 125775, 18286, 27541, 83541, 66715, 25065, 318284, 67687, 26494, 145603, 45430, 73737, 1093, 24588,
  31488, 141097, 46614, 41796, 620, 39230, 75054, 18365, 93579, 36160, 184470, 32372, 45723, 48418, 250572, 261817,
  192118, 22725, 77160, 79580, 22670, 4248, 83282, 74287, 51913, 89394, 15782, 18868, 4162, 31369, 195445, 114671,
  70244, 80847, 32760, 73941, 35966, 33327, 48176, 61263, 26397, 21891, 35782, 51428, 16199, 17361, 60996, 162215,
  50899, 70443, 196905, 14327, 209613, 277476, 31457, 115726, 121702, 1643, 41064, 101937, 287507, 200215, 40259, 17132,
  2993, 39858, 66709, 78788, 36101, 45516, 276535, 10475, 132229, 74041, 85837, 4489, 67345, 47555, 70268, 21923,
  33062, 17585, 37566, 31019, 76295, 41197, 33727, 44308, 118628, 54158, 74493, 8091, 78705, 83923, 8776, 31089,
  52316, 104384, 21180, 13077, 34375, 98798, 124584, 38929, 107083, 5305, 11827, 45799, 107454, 122628, 99613, 39711,
  44863, 77878, 47979, 163774, 127561, 55355, 79908, 233991, 33964, 8846, 147975, 196384, 3073, 181199, 4641, 18878,
  154010, 234469, 1978, 29642, 190914, 72852, 147040, 33070, 55967, 226887, 13739, 90555, 39074, 42255, 11101, 11143,
  6272, 2958, 5785, 149827, 31047, 148068, 44726, 20098, 5550, 34454, 68139, 117608, 41123, 74247, 21830, 126493,
  26154, 125253, 9928, 34238, 98638, 40988, 315243, 29780, 47110, 42038, 38685, 1249, 19998, 18504, 2563, 17213,
  148091, 6500, 13838, 19244, 50229, 4746, 251846, 112081, 31329, 48587, 8296, 216791, 59900, 99134, 13938, 168292,
  195442, 43920, 20408, 15133, 19106, 21571, 58002, 11833, 61347, 98426, 10306, 95246, 73497, 108255, 62936, 13502,
  70015, 18245, 80358, 41111, 682, 47734, 11486, 103861, 45850, 5615, 51099, 134183, 25776, 191909, 70530, 132159,
  38022, 64318, 63079, 172030, 148951, 284196, 101745, 31146, 6288, 10262, 10014, 172794, 37411, 22511, 4387, 112723,
  232526, 23910, 161525, 17672, 109277, 67584, 32161, 96383, 27286, 345858, 68047, 143833, 32342, 125891, 44280, 13086,
  9262, 166694, 69189, 41261, 5220, 24538, 15818, 21924, 16651, 109563, 5340, 30385, 23175, 91017, 49288, 45540,
  46740, 114503, 244673, 25970, 129438, 46907, 33785, 227986, 78614, 21905, 31585, 114441, 121925, 1940, 19917, 21156,
  66914, 81575, 3244, 30495, 88710, 29655, 12313, 83379, 127952, 105486, 99459, 88635, 5563, 32187, 8229, 94749,
  21500, 48758, 166385, 14479, 34521, 359597, 72504, 153813, 10739, 78835, 39295, 138067, 14863, 122543, 48540, 34380,
  191006, 11035, 196034, 9752, 62956, 65440, 80639, 387, 17359, 20899, 93399, 207191, 16749, 28093, 88121, 92904,
  67027, 59025, 67931, 87918, 56284, 135160, 87875, 81632, 69134, 75164, 29710, 188499, 43301, 19047, 13422, 106967,
  35039, 65093, 55023, 107550, 58883, 53155, 1578, 14587, 54466, 100984, 69351, 32950, 60823, 25977, 174836, 15869,
  404451, 6689, 11576, 4477, 75743, 45266, 31052, 16005, 59856, 29472, 81237, 29067, 86979, 42164, 23945, 46676,
  7923, 90552, 46853, 182972, 34273, 42374, 17945, 13686, 83785, 52585, 13309, 23870, 32142, 64343, 98952, 28074,
  7693, 4539, 24893, 39020, 268986, 16664, 39061, 84393, 197428, 80361, 205940, 1224, 282681, 6882, 9445, 49939,
  17049, 191596, 29434, 55100, 22346, 54975, 127831, 732, 22990, 126521, 11455, 86007, 92245, 138159, 51749, 151336,
  107180, 1069, 19546, 41449, 3357, 159316, 6574, 4724, 37104, 15238, 26063, 24160, 96724, 37317, 18138, 7223,
  49153, 51769, 152694, 7631, 7683, 64472, 8352, 2685, 31197, 127743, 6860, 92869, 43267, 85011, 42057, 23724,
  82231, 8741, 18674, 7910, 164276, 4096, 12771, 7586, 23696, 47054, 195099, 1416, 20848, 13504, 357403, 2764,
  188364, 105560, 295, 178445, 22309, 57234, 22103, 107666, 24821, 35099, 28676, 58490, 158707, 25657, 23518, 61519,
  1018, 46602, 17455, 53294, 22514, 62556, 170305, 115366, 70922, 69405, 15098, 71322, 27792, 76230, 27885, 2441,
  45589, 36981, 150699, 24146, 59709, 81228, 22766, 66205, 10765, 37617, 9373, 49056, 736, 99650, 67177, 559,
  35218, 47852, 5803, 7500, 63479, 81545, 7010, 84110, 51987, 114840, 24620, 8163, 24275, 88890, 163648, 134506,
  63588, 23081, 142828, 65953, 55361, 67896, 114542, 9127, 92929, 19906, 111372, 38827, 81964, 49480, 42737, 12268,
  4658, 112744, 27101, 301, 20122, 14673, 94899, 206599, 12330, 76979, 31622, 74309, 44058, 128517, 56436, 14073,
  13065, 23339, 21315, 103178, 311456, 16278, 14920, 198146, 72224, 420550, 41727, 777, 8337, 104777, 24184, 25793,
  211229, 26740, 119387, 100011, 38979, 100498, 23747, 45421, 22590, 8336, 22845, 14459, 138478, 53166, 57049, 20497,
  52757, 82151, 2460, 50662, 32595, 50914, 9779, 140220, 133600, 20746, 24104, 216217, 8838, 122361, 11593, 28760,
  31549, 816, 28187, 5501, 94412, 60114, 28281, 153116, 43391, 8488, 90398, 47350, 90056, 27922, 39104, 94601,
  1585, 8966, 10638, 10171, 94802, 8318, 14529, 110590, 127271, 73877, 11430, 2830, 6223, 27005, 16811, 21014,
  31889, 241922, 77341, 77320, 137038, 18139, 50332, 123737, 132910, 94235, 16743, 82586, 2165, 47123, 21947, 68249,
  57616, 1395, 50542, 129396, 230152, 209588, 78454, 147757, 6080, 219127, 4180, 9021, 10748, 81158, 64973, 29190,
  36737, 228622, 98804, 17829, 74579, 16417, 183595, 101604, 134062, 17306, 3644, 19380, 50525, 72396, 159940, 117382,
  180532, 78857, 55739, 98983, 119270, 38236, 8379, 25607, 34556, 33219, 34803, 98799, 76155, 37523, 75966, 6648,
  82394, 4084, 98676, 3845, 52595, 13580, 58240, 1922, 29258, 10438, 105425, 26130, 31435, 85783, 87939, 115936,
  87820, 77028, 181067, 59464, 67996, 9819, 19251, 40273, 26943, 18184, 84410, 39092, 183878, 10146, 8789, 33548,
  38007, 71479, 208117, 24698, 2410, 113333, 13181, 6605, 13526, 49339, 7061, 64271, 180297, 17014, 2971, 168674,
  69856, 33945, 110699, 265836, 3503, 115232, 136418, 50952, 187396, 40638, 4807, 156118, 167700, 13849, 57520, 81231,
  7838, 11640, 12170, 5741, 16701, 16659, 125534, 15317, 9199, 52795, 24781, 6825, 56267, 83437, 204926, 74158,
  3661, 59223, 14235, 194403, 37407, 20530, 23146, 12357, 65994, 11931, 56380, 259451, 23767, 79929, 18293, 110440,
  5708, 110566, 1381, 116346, 62508, 48437, 65252, 42437, 221700, 23408, 20821, 78800, 67088, 5214, 80178, 40659,
  86978, 3139, 87525, 38590, 46776, 96503, 7226, 124649, 84434, 21210, 52718, 39533, 32088, 11610, 48883, 48993,
  5612, 36169, 74879, 111083, 9149, 156582, 123119, 79206, 88244, 36781, 6276, 121833, 21685, 67708, 562, 32969,
  95151, 49905, 11821, 49025, 46750, 363738, 60238, 7126, 189612, 23817, 135205, 79928, 2979, 54100, 109851, 73077,
  506311, 12222, 150050, 90908, 2594, 81368, 57202, 25388, 3628, 28737, 8460, 86804, 40074, 10968, 92876, 5499,
  105039, 2695, 47351, 172227, 78243, 121715, 27084, 78833, 28523, 73676, 464, 68232, 6651, 130040, 127800, 48799,
  38058, 37843, 5052, 96560, 71999, 133710, 27378, 191856, 30992, 147444, 29030, 53817, 12764, 121245, 60444, 26643,
  68261, 39242, 16699, 155639, 108991, 19332, 42990, 80805, 6165, 95293, 82667, 375680, 26450, 33561, 31227, 248811,
  61961, 7643, 142037, 7514, 13400, 107606, 34976, 50694, 22426, 151745, 198926, 23162, 7490, 69785, 8890, 277275,
  60890, 30537, 37432, 49609, 109623, 3559, 109101, 157822, 2070, 19341, 18250, 88785, 12958, 30738, 47073, 37163,
  50355, 61092, 55664, 18154, 67979, 11874, 16017, 16832, 257096, 63841, 46836, 35435, 7213, 39562, 77677, 20617,
  42578, 32643, 98441, 139236, 52121, 64862, 68450, 282715, 35716, 2199, 97719, 13226, 65461, 127411, 66119, 58368,
  7516, 8148, 55990, 6956, 124758, 9239, 3153, 62014, 39268, 163536, 46944, 43855, 302, 6682, 207287, 15207,
  64712, 56673, 22223, 78977, 14977, 22415, 238137, 21853, 1467, 6198, 107406, 33222, 219452, 21709, 119024, 34391,
  2840, 1157, 34974, 22756, 34229, 50276, 12565, 13069, 11121, 120511, 69104, 16271, 21602, 41109, 62931, 15756,
  19270, 52519, 17405, 24235, 63574, 6789, 324542, 136115, 8024, 15348, 17892, 47562, 1532, 70350, 35583, 71230,
  17331, 3309, 46253, 26611, 79839, 99277, 117997, 65915, 78885, 32688, 25828, 19004, 52029, 50625, 9248, 17400,
  180767, 38886, 29357, 68385, 57957, 5909, 37897, 76460, 6069, 20372, 5141, 50706, 91265, 87494, 32650, 234722,
  61380, 65571, 34714, 45634, 55767, 26279, 65231, 106901, 8927, 283, 16073, 103627, 32881, 18500, 150143, 38519,
  287603, 17485, 853, 34227, 22149, 485770, 39484, 23090, 35029, 31381, 51798, 78528, 68876, 38737, 36453, 236345,
  6428, 12075, 1812, 27252, 199567, 13210, 14175, 2341, 46926, 622, 28321, 38887, 13412, 97447, 15960, 114377,
  104132, 9242, 11929, 173622, 21434, 107890, 50877, 49000, 366616, 878, 47215, 100194, 45060, 104282, 141046, 35203,
  110046, 219551, 85771, 84943, 81924, 108674, 74715, 12699, 128910, 32654, 6935, 167969, 45886, 48348, 61573, 81800,
  52821, 34060, 4242, 56585, 130416, 152475, 207991, 171093, 29416, 186493, 59505, 34175, 77342, 15376, 12990, 99902,
  21762, 74649, 5423, 65516, 67329, 11829, 84139, 241464, 121432, 34713, 85742, 187730, 79924, 6579, 77428, 24207,
  11724, 110158, 32973, 112280, 38625, 29086, 83056, 3907, 81006, 88966, 16041, 71498, 102033, 825, 26490, 10662,
  28338, 69696, 48093, 65072, 13326, 134496, 36471, 61179, 3250, 65892, 28533, 314299, 82056, 101706, 7567, 64574,
  82526, 61878, 9810, 151779, 38212, 40297, 107886, 9224, 21112, 83917, 6731, 127019, 12382, 20817, 46524, 7526,
  111495, 45460, 29077, 14716, 3263, 2776, 32734, 117361, 7414, 4263, 57298, 257932, 86274, 32666, 76331, 77614,
  93490, 72983, 103093, 41179, 40844, 68943, 116063, 4284, 30224, 160402, 11643, 2596, 45212, 159780, 15217, 214380,
  24019, 8607, 90193, 25716, 48411, 93174, 97695, 187108, 71367, 40950, 51935, 149531, 24941, 24881, 32250, 21110,
  76729, 22520, 11901, 44780, 57776, 164255, 34822, 2491, 3769, 55143, 92422, 73099, 38114, 63649, 64110, 240212,
  202019, 107803, 52205, 22566, 197745, 21239, 67424, 3015, 31953, 41591, 28285, 76949, 237533, 40323, 293650, 232903,
  33270, 251467, 176985, 24164, 201580, 38564, 156136, 59809, 255648, 80672, 240807, 90052, 100798, 140429, 105726, 10493,
  44741, 91259, 58405, 10701, 32241, 77032, 19646, 28622, 98468, 71458, 27207, 84089, 106931, 6037, 21906, 10904,
  10085, 71638, 18970, 12327, 15090, 155131, 570, 57108, 170358, 184285, 20866, 9713, 33154, 17127, 1501, 66684,
  66787, 23409, 12207, 87238, 18819, 102498, 86382, 527, 69760, 37855, 28336, 40134, 25061, 472, 119634, 283057,
  234005, 72393, 63914, 13795, 82660, 81969, 21503, 42354, 6295, 133186, 18259, 34816, 131975, 111080, 119914, 6227,
  16874, 28237, 109468, 13462, 9076, 139909, 173435, 140650, 4094, 59998, 72608, 46830, 25005, 51675, 154533, 146622,
  17740, 201648, 55660, 9846, 40908, 71868, 61190, 22963, 19533, 38545, 29300, 44101, 220019, 36593, 119629, 19665,
  44330, 108853, 121109, 89385, 99792, 69972, 191515, 2180, 50040, 29432, 18069, 77343, 19619, 123487, 256669, 76631,
  13950, 296596, 1597, 129830, 55228, 1167, 160849, 18579, 24423, 59175, 11879, 3471, 31253, 98945, 59597, 119156,
  95308, 79988, 122939, 9124, 103177, 84168, 28969, 42697, 184795, 16008, 50199, 163322, 28590, 6494, 60509, 135058,
  82285, 113064, 23838, 104824, 5059, 80031, 14223, 11317, 3210, 366149, 3627, 19284, 75525, 82629, 76433, 17398,
  49894, 214741, 20201, 17960, 70007, 4469, 41765, 94300, 56178, 35669, 3059, 41367, 10580, 141243, 173468, 16012,
  36051, 146008, 6174, 145965, 139681, 7800, 110797, 7035, 21617, 33212, 25669, 13652, 98736, 51362, 38127, 761,
  3555, 31131, 121667, 108117, 106306, 16338, 122989, 66956, 164189, 15339, 82154, 24542, 37352, 59255, 110432, 16682,
  63915, 228093, 103923, 44235, 47824, 168857, 93914, 68839, 24883, 16577, 41048, 298253, 145530, 10841, 15100, 232215,
  61904, 5837, 125998, 35069, 28444, 58263, 14138, 85433, 11483, 143759, 34386, 73214, 19837, 19344, 20822, 8109,
  145446, 6859, 87391, 91712, 30420, 47415, 145201, 71828, 112972, 41730, 28283, 170664, 85939, 141658, 70333, 124812,
  11835, 2977, 84882, 9672, 191233, 7890, 112346, 19182, 2262, 159541, 16980, 12043, 20705, 67775, 24464, 209857,
  58630, 270281, 312308, 672, 1753, 46565, 82263, 33826, 148334, 55096, 120377, 20727, 1197, 4386, 5122, 5934,
  144714, 56754, 767, 46661, 6887, 16011, 3279, 258372, 11223, 169694, 25814, 42211, 107667, 126684, 25371, 63630,
  60879, 20178, 24287, 89912, 77914, 7710, 134186, 56763, 4151, 13041, 161212, 270864, 57417, 45691, 139371, 26391,
  81594, 36360, 47120, 2894, 96681, 102899, 35717, 25696, 169430, 114986, 52356, 18242, 1784, 96852, 53673, 123031,
  20444, 64937, 107271, 5906, 95138, 129637, 2569, 61992, 254041, 52369, 35639, 117271, 27038, 96678, 122654, 59573,
  596, 42424, 23209, 68851, 7117, 86087, 20253, 129099, 72808, 8253, 236489, 10640, 13759, 33512, 12847, 68886,
  3353, 51042, 54954, 88292, 126776, 35156, 39154, 26608, 21074, 3070, 132841, 36168, 55322, 31705, 21862, 73120,
  27081, 96769, 100873, 33028, 36942, 66613, 15763, 33080, 39547, 359328, 23281, 74973, 139830, 177478, 3930, 86190,
  179275, 148581, 122851, 1431, 4453, 146240, 239658, 55165, 713, 274, 94886, 73822, 8722, 26916, 78701, 67472,
  71399, 84867, 279082, 235, 19204, 9012, 17044, 1382, 25785, 9114, 9013, 22506, 22794, 59383, 85470, 19980,
  23923, 137385, 187894, 268567, 104114, 23511, 100004, 3566, 11291, 14071, 28270, 6390, 25458, 111325, 4382, 14700,
  102309, 41377, 7731, 3431, 88396, 37035, 150133, 15643, 75288, 106289, 2777, 70941, 230440, 48316, 25116, 63976,
  206396, 108620, 37151, 125702, 104551, 113811, 119436, 24384, 58447, 4370, 24435, 50488, 130857, 124278, 18387, 112999,
  37247, 26953, 4538, 30899, 94734, 101716, 114630, 179272, 31548, 49963, 38658, 24697, 176529, 190718, 62623, 4144,
  226077, 300866, 53306, 58044, 65159, 50710, 63541, 128908, 20104, 14650, 142818, 6874, 10096, 32173, 44239, 137621,
  66881, 7672, 38865, 45456, 94191, 63198, 21654, 91466, 237909, 17433, 116850, 23799, 27109, 61860, 54732, 29400,
  37404, 38958, 56953, 81848, 1520, 34230, 4135, 97322, 27421, 31838, 21240, 26409, 25220, 95856, 25488, 56829,
  113003, 1614, 126, 147771, 23423, 14373, 49546, 49817, 24884, 86146, 38695, 42648, 50585, 27147, 193187, 63419,
  6286, 46605, 45100, 136759, 231877, 33670, 291180, 89716, 150800, 7898, 65327, 43541, 11789, 18785, 15127, 92917,
  3226, 15816, 97588, 148034, 90004, 14309, 143531, 120478, 60642, 53426, 39390, 100241, 5053, 47683, 6092, 593,
  202400, 56336, 48570, 70208, 61442, 84297, 267745, 16889, 132531, 63667, 41905, 51392, 175329, 104653, 24808, 36173,
  57138, 33742, 25613, 30817, 30116, 31004, 44827, 110763, 103847, 17367, 29721, 39397, 9973, 205794, 68528, 30464,
  75367, 6167, 3182, 143724, 16452, 179801, 44257, 60822, 32360, 50545, 12909, 46081, 59119, 5222, 30976, 74231,
  21246, 4141, 25122, 44442, 10191, 152872, 60307, 6528, 164804, 64131, 52788, 203594, 23305, 109174, 33076, 95817,
  61051, 86156, 81508, 7369, 37348, 36961, 59494, 6598, 154530, 185385, 273203, 32275, 13214, 173245, 225200, 147861,
  5468, 57563, 4172, 27997, 50403, 22253, 19697, 3607, 66754, 52590, 44551, 213850, 130976, 17828, 3407, 9965,
  50559, 26417, 20257, 207504, 80515, 11064, 40718, 15057, 14436, 175751, 41158, 92093, 155492, 7541, 10270, 291817,
  84017, 120763, 131324, 93378, 5472, 128009, 141787, 144291, 43107, 11112, 64353, 20597, 41240, 29285, 7429, 182466,
  2890, 9936, 4645, 26881, 90431, 118441, 79842, 3776, 70188, 15995, 35014, 25366, 382, 86180, 8302, 14503,
  76234, 35504, 66433, 25753, 48040, 723, 30764, 17878, 50211, 19521, 103260, 1405, 281038, 12735, 16639, 6710,
  237007, 94746, 1277, 43465, 32115, 22848, 2422, 33178, 142178, 8284, 101691, 76065, 1536, 28121, 15450, 56901,
  22761, 37468, 57257, 336438, 96429, 11719, 1339, 3953, 1811, 118327, 157186, 30335, 31243, 47049, 38381, 35215,
  1679, 161267, 29632, 17925, 49143, 35370, 24607, 25287, 55209, 163958, 71839, 121011, 17402, 66842, 70491, 9817,
  235054, 64483, 2945, 109216, 61494, 17696, 18951, 2128, 7462, 147844, 39181, 147057, 77030, 240256, 162500, 11568,
  34925, 71572, 23258, 33113, 87609, 57032, 31715, 36819, 78002, 84868, 113775, 145786, 9499, 100577, 142045, 35652,
  9027, 79217, 24550, 93584, 73289, 21361, 23766, 32016, 201078, 16815, 17921, 88359, 101379, 56165, 78318, 16489,
  63544, 35992, 463196, 76115, 27666, 30809, 69632, 109853, 5469, 105799, 39876, 72304, 10642, 81042, 91087, 82633,
  30029, 3451, 39557, 9601, 49816, 43559, 44570, 24502, 132979, 33107, 74019, 68885, 95620, 43778, 22107, 80168,
  58086, 115607, 53717, 44189, 351930, 66820, 12176, 349081, 116300, 90000, 19710, 15777, 2110, 12072, 7937, 100473,
  2043, 23575, 189759, 185285, 30845, 204583, 141343, 98357, 6154, 24850, 10033, 166394, 11279, 9588, 63358, 66619,
  16727, 29173, 29298, 22369, 4122, 1113, 93975, 2373, 2277, 6248, 25424, 144362, 27281, 10791, 31674, 136149,
  4971, 5091, 109071, 28111, 3650, 74833, 33069, 99452, 39060, 31553, 103088, 6083, 61970, 35073, 42159, 39447,
  65951, 82331, 17467, 274725, 39674, 192758, 99239, 74038, 75686, 221820, 29305, 145449, 38151, 141438, 74464, 8701,
  11370, 40356, 35644, 219664, 130809, 33760, 32012, 65616, 177895, 96022, 44668, 36789, 32665, 181104, 107837, 21508,
  63725, 164836, 5861, 54679, 122267, 20346, 83568, 92187, 7857, 2055, 91980, 45529, 39618, 46036, 44095, 43635,
  118483, 55547, 30683, 9026, 44792, 15349, 9572, 31258, 157755, 62006, 13108, 41088, 178624, 42632, 108286, 57576,
  136994, 75081, 20067, 213455, 24260, 59651, 156381, 28506, 41308, 51673, 109778, 35539, 22471, 31926, 60313, 141628,
  12404, 177355, 186764, 8270, 21707, 53992, 20210, 175836, 12486, 35418, 68014, 148679, 30473, 15016, 74384, 2134,
  52781, 50454, 39034, 16954, 50246, 149675, 90227, 90639, 20247, 105483, 42840, 84149, 39065, 6265, 28880, 153724,
  909, 158044, 52031, 189995, 56825, 89732, 14963, 79537, 103158, 77948, 193052, 23904, 128603, 35173, 103922, 50144,
  31542, 77257, 10193, 261793, 1089, 61599, 83679, 56827, 41935, 34672, 1669, 32964, 32744, 192677, 84032, 84980,
  12428, 221609, 53227, 16700, 37963, 17089, 18238, 394, 84420, 5956, 18576, 76244, 33134, 135230, 52741, 9872,
  72921, 31874, 99863, 233313, 208449, 55160, 197159, 30521, 42622, 223154, 80731, 30948, 168151, 65889, 42412, 23756,
  127335, 110467, 63177, 112577, 147107, 45515, 164144, 8147, 46699, 185194, 12846, 5150, 38216, 15288, 59319, 209454,
  12591, 1396, 2748, 213994, 94342, 174981, 9164, 7542, 85814, 79347, 3079, 43844, 31423, 356287, 9839, 64046,
  24944, 181828, 21425, 105878, 2605, 75931, 24468, 28548, 87542, 72786, 33573, 9795, 67473, 52048, 18016, 14242,
  192551, 248913, 95190, 112505, 4496, 31534, 647, 69179, 56321, 161887, 101346, 161387, 91819, 19636, 11691, 343909,
  17630, 27347, 151697, 2034, 6300, 29522, 1714, 19625, 256183, 30736, 41363, 146757, 114569, 40479, 15465, 2041,
  202090, 13378, 121579, 195034, 33209, 67524, 29264, 68859, 35289, 9132, 124566, 11834, 34897, 23701, 17860, 41618,
  24967, 44272, 55538, 9772, 40520, 67880, 13672, 5691, 43470, 43146, 59144, 18400, 5344, 99162, 20283, 21126,
  10199, 286754, 157014, 57352, 34810, 134947, 22482, 13869, 14283, 3260, 39498, 50188, 10381, 85601, 130984, 2037,
  10017, 115073, 41784, 35604, 62923, 26892, 47516, 14669, 49924, 117650, 194265, 354551, 23233, 13596, 123144, 1265,
  64539, 13442, 26226, 983, 13051, 82353, 130403, 88007, 35686, 34010, 54566, 1384, 19698, 66960, 132131, 70625,
  11570, 29263, 50727, 110849, 135555, 4078, 19496, 118621, 120868, 32514, 188800, 161569, 44924, 24501, 105062, 111736,
  87065, 308308, 30954, 10824, 52318, 42959, 6951, 9830, 52335, 136608, 31619, 248564, 47586, 44794, 93623, 23889,
  140906, 33780, 30924, 50467, 245885, 88351, 90491, 46859, 109834, 48432, 37672, 25466, 78668, 2856, 51536, 53156,
  9065, 1466, 166162, 149156, 46990, 132982, 13320, 58757, 25258, 298, 22182, 22431, 72022, 12639, 39287, 100922,
  61243, 26416, 20111, 29015, 40838, 101281, 1681, 96725, 4545, 9838, 11567, 53063, 146387, 341555, 34114, 20033,
  10537, 143943, 157042, 19848, 11557, 42577, 57214, 27640, 17470, 179231, 12836, 195453, 36930, 46768, 313283, 35513,
  68104, 39738, 86287, 104695, 46711, 4413, 25433, 60207, 24264, 18023, 111517, 45375, 79401, 20865, 226464, 27841,
  81043, 41593, 204624, 25039, 18225, 20244, 170119, 22971, 120488, 189962, 74489, 159216, 24746, 58887, 156006, 65825,
  84338, 9196, 33923, 25183, 81652, 80939, 67675, 13888, 28266, 18067, 6244, 68109, 13776, 69394, 105951, 38639,
  21878, 12025, 34471, 14990, 46973, 71457, 38263, 85696, 1047, 50364, 18100, 216604, 230465, 75354, 183859, 29794,
  73357, 27757, 58872, 122255, 95777, 108826, 40410, 784, 24973, 20666, 10256, 47191, 210160, 225901, 92342, 20564,
  62210, 15357, 81223, 47348, 58404, 136370, 87219, 182975, 110633, 231019, 5557, 114090, 169651, 152695, 39659, 10697,
  6937, 15420, 20820, 60557, 41870, 16729, 133108, 27320, 9909, 108465, 192359, 16498, 26822, 325219, 33762, 172522,
  191062, 29716, 26412, 2097, 76553, 124900, 73484, 69292, 27519, 32870, 80707, 31445, 96256, 2314, 70692, 4058,
  239070, 10821, 41413, 95014, 2478, 35503, 100322, 236799, 205678, 14889, 48762, 33792, 67955, 41529, 176353, 46713,
  58532, 62997, 179242, 111905, 20601, 174290, 2473, 21736, 50120, 80978, 284366, 50101, 19148, 151810, 71043, 69116,
  78501, 13969, 1032, 82510, 195724, 299148, 161084, 64084, 110740, 1411, 917, 60413, 8249, 4449, 10658, 28635,
  109665, 28104, 30492, 131970, 27446, 20499, 71921, 6814, 30568, 42498, 32084, 9024, 57631, 161122, 111788, 30728,
  31425, 149345, 39864, 222740, 49752, 100795, 1957, 8606, 32820, 154188, 210448, 11604, 65504, 95671, 26463, 47243,
  50079, 54263, 5121, 8044, 3663, 137567, 25561, 3942, 102256, 169116, 15687, 13454, 219898, 132483, 29600, 88533,
  23849, 44708, 41198, 121112, 211315, 30822, 9110, 14874, 14645, 19626, 55733, 131599, 4359, 111315, 126666, 2148,
  91767, 12358, 87695, 65691, 9528, 60012, 39959, 13807, 12449, 60771, 165784, 80519, 49366, 58389, 57808, 299274,
  7941, 94765, 85206, 7523, 49763, 49374, 51040, 4812, 107848, 65929, 26938, 37068, 8930, 3191, 21092, 30208,
  27086, 3979, 56324, 7705, 50686, 214096, 86621, 19678, 9744, 23869, 7714, 49971, 10447, 184404, 140264, 142028,
  81935, 37, 202638, 112289, 39513, 2767, 321704, 16548, 46514, 195686, 36295, 202214, 1670, 15988, 55688, 23659,
  29229, 21347, 47074, 163169, 6172, 123566, 96740, 17816, 22312, 79026, 119292, 332453, 137280, 39511, 41020, 11253,
  97759, 113084, 67597, 99824, 9806, 100148, 19488, 91425, 14445, 10529, 86640, 119945, 22976, 1450, 21578, 8642,
  56458, 34421, 23850, 768, 73391, 11534, 64803, 221561, 34983, 50337, 3048, 86930, 93760, 26610, 60674, 110754,
  174219, 46834, 94439, 84023, 52573, 9508, 44750, 79062, 33149, 17148, 39204, 179378, 59747, 33608, 33811, 72388,
  2429, 27413, 53657, 1209, 136277, 15611, 10977, 18270, 75123, 18305, 73001, 65038, 165263, 120353, 2992, 111846,
  91040, 8711, 81068, 66699, 7446, 2463, 19348, 218110, 57632, 110134, 4755, 34160, 48633, 72482, 249, 46281,
  97140, 33462, 11352, 40714, 246081, 28361, 46130, 98911, 84766, 36082, 51109, 34148, 151684, 2936, 76243, 94584,
  79918, 12929, 460, 42550, 93268, 134209, 37100, 16896, 120346, 21124, 21414, 16833, 54059, 191099, 201522, 102272,
  54875, 84073, 3895, 2436, 77858, 10986, 154654, 5409, 32996, 56761, 49453, 346111, 103590, 58996, 21227, 37368,
  45276, 61068, 74997, 6502, 11968, 190483, 2851, 4516, 19600, 140163, 119135, 18019, 25849, 122333, 26208, 1253,
  17159, 181641, 62390, 34359, 132907, 44619, 54140, 33110, 42828, 34002, 172033, 159324, 16817, 22862, 123567, 246066,
  4913, 39475, 57181, 11836, 99462, 39965, 20158, 295279, 103303, 15191, 12523, 31976, 27395, 89881, 26366, 36188,
  5737, 4209, 27937, 51814, 74184, 36752, 26910, 75407, 20749, 114757, 80471, 12921, 21160, 166449, 33748, 61876,
  14377, 111451, 28376, 51624, 77062, 4759, 31489, 8667, 131403, 35903, 220511, 203998, 158735, 57711, 23070, 54147,
  10999, 74048, 6529, 32621, 27799, 92313, 30581, 51320, 77785, 63583, 107525, 10443, 9320, 51511, 19427, 121556,
  34366, 33241, 41042, 128493, 51593, 169332, 49002, 178217, 61070, 171, 83380, 12254, 33746, 11674, 26248, 60875,
  47048, 3811, 107521, 60945, 29268, 895, 49016, 21834, 36675, 58110, 5989, 35500, 30262, 101556, 212477, 10165,
  53297, 39091, 41022, 9791, 9832, 14567, 19009, 19068, 82000, 3875, 37180, 186532, 20188, 14835, 74440, 7293,
  122292, 25795, 49957, 53535, 39917, 123027, 87789, 17677, 7331, 89007, 2300, 35386, 18160, 6491, 51684, 21618,
  68301, 13263, 285552, 298645, 185935, 298900, 126950, 20478, 134830, 182343, 19829, 12011, 15031, 116530, 76262, 15413,
  4935, 40625, 164987, 49386, 10004, 44236, 39740, 43773, 165845, 43832, 56688, 2815, 185534, 81592, 56245, 1437,
  46923, 129294, 23698, 129303, 30109, 58443, 14904, 122152, 44134, 27588, 5195, 37064, 122631, 43995, 372314, 387837,
  18874, 47379, 277, 22234, 22903, 9497, 40286, 16763, 112790, 89200, 17537, 20682, 26561, 7025, 122064, 142767,
  18549, 18358, 38049, 62248, 348902, 41526, 76877, 7321, 82871, 209789, 117544, 83895, 140345, 134154, 56621, 61740,
  255565, 75916, 191295, 230290, 135390, 60673, 50087, 3175, 63556, 59497, 24739, 20520, 103747, 5481, 54327, 78229,
  145055, 27141, 91354, 101583, 179600, 37968, 51679, 147604, 145662, 21758, 1468, 32673, 296111, 37226, 10401, 244665,
  61661, 62743, 33793, 21290, 211987, 31229, 36498, 109014, 23952, 5664, 68430, 117386, 52342, 279268, 1383, 16178,
  126343, 21917, 67779, 80496, 48450, 28456, 37591, 11298, 32919, 75914, 48144, 42628, 44277, 135351, 43365, 68058,
  82185, 31919, 36044, 33488, 9591, 46231, 87880, 19683, 62139, 164744, 13946, 67759, 205363, 64547, 24950, 14744,
  376969, 125444, 36207, 34787, 394874, 9391, 29970, 31633, 108461, 29004, 95508, 16726, 18040, 1474, 161241, 87333,
  120885, 78180, 1312, 156395, 14798, 49849, 30378, 61417, 39863, 215063, 70563, 17245, 16571, 4898, 117368, 45833,
  16794, 119877, 56493, 56667, 58271, 114337, 11790, 85404, 81025, 1115, 70207, 196483, 55206, 75037, 286099, 52410,
  14640, 28529, 108282, 19807, 118656, 48399, 13926, 14142, 6361, 12773, 19250, 37526, 44092, 14182, 3300, 24788,
  85970, 100512, 5089, 93502, 6262, 1470, 30526, 6736, 153863, 47611, 5419, 5204, 108244, 23917, 15546, 201845,
  180200, 9222, 61948, 51408, 72264, 60586, 13704, 87398, 79947, 75005, 105096, 35548, 38044, 163143, 46082, 43224,
  10050, 223780, 42559, 63853, 5735, 24066, 14942, 134623, 61221, 29913, 32948, 152876, 80712, 15291, 19415, 47687,
  5471, 16468, 19049, 875, 115689, 4926, 141440, 86953, 11391, 96224, 41116, 29097, 11661, 9977, 16554, 59410,
  184257, 4916, 59752, 123609, 20010, 44968, 127762, 3094, 60116, 31503, 22578, 77738, 30320, 46196, 21138, 9271,
  19327, 143121, 101458, 26727, 134598, 33180, 123460, 124908, 45455, 1725, 24171, 1975, 27542, 3320, 81552, 83876,
  18004, 21115, 5583, 180685, 125092, 158497, 38663, 698, 452272, 14139, 42821, 65816, 1549, 15658, 88083, 33362,
  91523, 14865, 6630, 176968, 46567, 36614, 16181, 20495, 180063, 61084, 102959, 47886, 156026, 28065, 8610, 114642,
  2608, 73306, 8419, 8283, 11174, 348806, 348428, 8950, 58848, 3040, 12266, 87926, 37788, 7990, 32289, 57688,
  65907, 28786, 408131, 92280, 80194, 123266, 156847, 70303, 30490, 3057, 70321, 174337, 5786, 5649, 71496, 65938,
  40775, 32358, 26015, 20333, 119519, 11504, 86693, 47220, 106241, 179717, 45913, 80350, 11323, 10871, 42117, 44122,
  156297, 8264, 34534, 74130, 8425, 20168, 19195, 95738, 61495, 86901, 91525, 56486, 2617, 21807, 76315, 32644,
  29675, 132700, 187527, 94065, 2425, 48583, 146946, 19438, 59886, 21696, 112525, 185026, 112582, 107474, 21779, 520,
  49142, 27517, 27611, 26275, 59618, 68585, 34382, 269197, 4863, 78549, 51824, 198549, 50597, 91695, 79132, 75817,
  86710, 86822, 13732, 13511, 50650, 3411, 18621, 279970, 168632, 42104, 4038, 32572, 27693, 8881, 65349, 54005,
  85641, 7547, 8478, 41579, 83643, 30439, 9416, 5869, 18993, 49065, 16745, 12818, 25768, 25667, 58681, 44991,
  84284, 204061, 61201, 50637, 28090, 5082, 34635, 107900, 93592, 201432, 170018, 36616, 36627, 200119, 6933, 53709,
  312804, 36724, 17312, 3158, 43381, 5167, 26919, 23400, 9887, 26673, 28631, 66018, 9402, 230847, 24255, 102572,
  100931, 154504, 170013, 201115, 97165, 34404, 357, 179763, 3311, 108, 53023, 171976, 173330, 95887, 211961, 23099,
  66805, 113640, 18352, 46361, 28935, 107138, 46668, 51711, 4963, 45839, 54816, 7932, 184460, 1611, 103983, 141455,
  3201, 270150, 175156, 43537, 78102, 12443, 37971, 414715, 19126, 6340, 130684, 52220, 21607, 284399, 102147, 95375,
  37496, 136001, 219663, 16689, 24938, 7390, 85416, 109375, 22615, 13046, 57826, 15407, 16153, 137199, 62614, 211231,
  32862, 32298, 16119, 175170, 134792, 46807, 3951, 27849, 153318, 105648, 120022, 22136, 61120, 56637, 91935, 136213,
  6067, 4114, 134337, 42278, 2812, 85502, 6569, 159359, 12826, 125922, 25619, 62295, 12792, 79563, 100822, 11222,
  23825, 49867, 29919, 872, 37559, 4587, 112918, 136034, 64662, 126530, 131167, 14498, 202250, 56243, 23092, 121186,
  102694, 22868, 89387, 64332, 155488, 39744, 156087, 176575, 85881, 39781, 47236, 12249, 149193, 26406, 1951, 155992,
  46233, 184401, 41366, 8036, 65383, 139356, 189733, 213982, 15521, 49577, 159577, 2521, 106982, 58186, 55467, 51702,
  11358, 8682, 17785, 29934, 176786, 109645, 122828, 41281, 25752, 29762, 94798, 25186, 39717, 17547, 52095, 8022,
  34208, 129165, 49581, 119910, 24510, 12967, 247959, 15952, 32464, 81364, 137598, 14637, 77742, 123065, 16222, 61255,
  39371, 43724, 57019, 24082, 72028, 104622, 27929, 89643, 138229, 10055, 122728, 41443, 60688, 136821, 3274, 7812,
  71386, 67606, 3295, 100611, 102834, 3428, 102932, 35148, 132477, 142278, 25402, 33288, 2208, 132017, 146591, 21568,
  11548, 73095, 756, 36537, 63670, 246597, 20653, 141984, 271279, 12711, 23553, 27463, 28351, 23214, 77413, 75614,
  30338, 23444, 235758, 28565, 38620, 46299, 28150, 5788, 32491, 43962, 168549, 29503, 99845, 200267, 70204, 12986,
  143885, 941, 50969, 55284, 152266, 187576, 3532, 57733, 13252, 143761, 54421, 60086, 2825, 16104, 18211, 69263,
  178663, 103869, 8702, 98648, 108097, 15531, 162361, 61008, 1775, 84427, 119944, 23016, 78201, 82106, 24005, 236154,
  14897, 34582, 63819, 36233, 113573, 102759, 41120, 42814, 163346, 29508, 164161, 54185, 62292, 9036, 39296, 6640,
  171129, 26814, 9984, 294489, 22183, 40191, 69406, 90599, 96598, 18066, 85600, 87824, 38733, 247243, 7387, 161131,
  64971, 38204, 92974, 85988, 166776, 29624, 69098, 72876, 117445, 68760, 22363, 52379, 9968, 148571, 26622, 186006,
  146393, 31071, 60120, 13612, 44677, 19448, 68338, 7874, 74867, 64490, 29421, 124401, 20908, 16585, 60838, 7384,
  97328, 50410, 20319, 19156, 12761, 5816, 351477, 2786, 25656, 165861, 173732, 7123, 26785, 149182, 20793, 27143,
  9148, 25949, 18006, 7795, 112344, 192537, 14513, 5682, 26115, 40202, 70306, 48084, 99176, 7153, 108473, 44332,
  110121, 9428, 8180, 27860, 22437, 60581, 205918, 99858, 49547, 116936, 35145, 8901, 6180, 5175, 18803, 16208,
  79320, 28649, 38726, 54774, 5835, 30655, 86440, 25966, 31392, 70939, 20843, 111672, 43328, 94380, 88995, 15321,
  33377, 2984, 16233, 43332, 75870, 19044, 156499, 127031, 119860, 122514, 65060, 17517, 69497, 64192, 44374, 6455,
  80273, 40630, 92629, 46425, 7325, 37171, 79359, 140226, 155219, 32133, 40753, 22059, 43167, 16881, 38630, 50086,
  111173, 44484, 5941, 101815, 28347, 373200, 356553, 74832, 20222, 177340, 108041, 180076, 3763, 27194, 171523, 10928,
  71752, 148205, 39888, 74776, 55041, 6358, 148477, 294704, 47252, 52974, 89175, 4682, 14618, 39392, 58585, 50619,
  28088, 100276, 36110, 31596, 15012, 93646, 4953, 6629, 97805, 46485, 18765, 9249, 194698, 52307, 85352, 33772,
  54636, 209534, 25378, 210, 2036, 151416, 255499, 40976, 41349, 134520, 150432, 11157, 6173, 62536, 56094, 34646,
  96604, 85745, 27243, 6622, 61530, 18737, 8699, 115599, 51859, 41290, 143452, 40201, 43782, 14061, 74656, 29726,
  13361, 136026, 23149, 4742, 24334, 18683, 24925, 85168, 22668, 224320, 16450, 76194, 24792, 35366, 2119, 56976,
  7070, 16021, 24155, 51463, 23441, 3622, 46105, 126702, 16789, 276646, 86393, 21589, 3209, 111511, 12134, 13169,
  36211, 227939, 16170, 16148, 208475, 99712, 10351, 419718, 26242, 79670, 44112, 4569, 32880, 339579, 30648, 97335,
  122181, 70716, 13387, 85134, 182407, 26932, 273051, 12495, 21444, 28811, 92202, 62532, 31060, 48235, 131669, 47086,
  88459, 54224, 9712, 80410, 29929, 35255, 5466, 174314, 77907, 10011, 1541, 31577, 12716, 153148, 263135, 100373,
  10934, 79991, 36589, 35238, 97005, 23398, 171539, 8580, 20599, 128843, 2723, 53858, 31690, 44768, 11242, 19051,
  8403, 12581, 30429, 200097, 58445, 64447, 17535, 77337, 30303, 7870, 87634, 120825, 22700, 347, 32033, 8588,
  10336, 47933, 95540, 18314, 86731, 43480, 122415, 48270, 103115, 61655, 3386, 11664, 337709, 27487, 202769, 59646,
  72556, 173070, 8469, 81115, 46788, 18684, 133404, 96594, 112566, 86812, 64663, 85306, 47684, 65109, 21999, 787,
  67089, 42642, 9467, 104964, 53548, 77932, 89601, 50531, 36874, 103369, 55381, 55386, 56487, 110574, 42321, 104493,
  41387, 87478, 10390, 37145, 125985, 271334, 8940, 28636, 26893, 223188, 56969, 202288, 40071, 34929, 116962, 28213,
  106683, 28231, 42013, 24525, 73712, 66578, 95581, 82535, 18787, 2469, 64097, 192370, 40105, 33082, 137529, 8248,
  72992, 28876, 9399, 7582, 67246, 4830, 5079, 188992, 137276, 8793, 145644, 146116, 50802, 69878, 200577, 15640,
  36790, 214109, 63824, 55941, 70328, 47477, 2167, 52953, 138827, 24284, 37429, 16033, 22466, 117793, 20960, 43422,
  39263, 48912, 81141, 192574, 183295, 1837, 14713, 28579, 29858, 381, 62358, 27575, 50975, 47277, 158226, 20747,
  9322, 21799, 8759, 19551, 57397, 25924, 60257, 23908, 10654, 24152, 18912, 12247, 24364, 134961, 117953, 43806,
  30383, 28739, 36894, 57851, 55799, 12140, 208514, 12059, 41600, 16395, 47450, 48286, 23584, 118890, 25589, 8681,
  127295, 234074, 47071, 125810, 296610, 11331, 18254, 15170, 129078, 16080, 226323, 40895, 143558, 94050, 23705, 131198,
  244131, 60925, 25356, 21260, 86397, 300199, 46792, 88237, 36049, 206902, 15590, 21351, 1085, 93619, 11791, 83320,
  80677, 34168, 26403, 64840, 3820, 15926, 1847, 16734, 108139, 3510, 11982, 209610, 5476, 22002, 108428, 55260,
  34767, 29252, 98069, 88530, 24683, 25427, 54524, 21159, 7758, 58183, 73508, 29449, 13060, 45920, 148846, 105330,
  7239, 2883, 81088, 12697, 131671, 7549, 43047, 4805, 250593, 12157, 34279, 12914, 59556, 76223, 25084, 20506,
  103392, 43609, 100817, 171460, 29810, 37880, 81256, 174784, 4188, 149828, 64134, 59705, 252323, 25997, 44940, 97369,
  39404, 5069, 90268, 85619, 116877, 19634, 56035, 36905, 7651, 33380, 130707, 133829, 43600, 25142, 75703, 40295,
  40338, 60316, 24687, 44342, 13554, 8678, 9961, 1732, 157253, 93469, 29687, 49688, 39196, 21767, 41224, 21529,
  25978, 36956, 66355, 33481, 144387, 50146, 129773, 13311, 61211, 62169, 77703, 101581, 234, 27986, 9318, 13341,
  50104, 58984, 15733, 9924, 6129, 59308, 32036, 85687, 10449, 47782, 8891, 25720, 93777, 35277, 8953, 13811,
  9240, 22192, 6432, 17202, 356378, 52015, 66393, 12508, 274148, 255059, 67115, 30737, 4439, 11480, 231776, 166051,
  72970, 82790, 96236, 26126, 3724, 86291, 14281, 11950, 147770, 105431, 20726, 77543, 78680, 17490, 13496, 21992,
  62570, 4476, 98692, 112842, 115877, 74277, 124883, 83834, 40027, 21132, 19464, 47232, 40547, 89457, 28687, 14573,
  36817, 103723, 300665, 15319, 224392, 26400, 40495, 22877, 64609, 18201, 23154, 72374, 34795, 27583, 78778, 23667,
  165027, 32508, 73622, 56731, 67440, 2495, 103298, 105353, 2477, 41716, 11030, 8686, 37206, 79590, 125885, 13625,
  23431, 4395, 220465, 150736, 50754, 5523, 27215, 232561, 164797, 91433, 63055, 7083, 46018, 251531, 40722, 70383,
  94995, 7924, 77757, 28613, 170982, 867, 21717, 13321, 27051, 21566, 114874, 18681, 7957, 7438, 19655, 84979,
  22767, 101166, 277403, 47583, 3674, 112331, 65307, 4882, 27900, 40861, 34152, 26594, 56419, 29707, 25132, 78891,
  18930, 58166, 23382, 32025, 60701, 65952, 21108, 607, 41302, 44913, 98469, 73043, 2692, 100592, 76874, 140991,
  84749, 15560, 29248, 219368, 339721, 48121, 96609, 79943, 61996, 45630, 28536, 16244, 111094, 26428, 57889, 25111,
  80221, 69552, 27326, 124506, 50129, 75574, 64173, 83505, 1045, 142814, 170324, 19671, 8153, 208336, 12576, 12623,
  62945, 184743, 32415, 73714, 19202, 2698, 136438, 116392, 8250, 15337, 70178, 157991, 37208, 8242, 26035, 58589,
  37418, 6014, 58480, 1274, 32560, 127652, 47847, 148702, 79477, 92504, 29034, 87904, 41106, 61295, 72948, 79082,
  88569, 164147, 34772, 53574, 33963, 129292, 2501, 7461, 36693, 68888, 18880, 65806, 5892, 424331, 17516, 24390,
  30570, 2113, 9490, 25280, 1581, 110856, 24330, 24537, 66471, 15890, 104155, 126634, 49647, 82695, 115436, 114480,
  11922, 54150, 34729, 37512, 160717, 69615, 2014, 40558, 29442, 49537, 9489, 90588, 5643, 197221, 9955, 87575,
  114865, 94728, 2057, 19542, 82962, 71746, 2865, 8021, 95982, 61016, 32535, 150782, 132098, 15408, 30334, 114765,
  22633, 27477, 74001, 34329, 22838, 9812, 99985, 6414, 94726, 41615, 168290, 212638, 54556, 24532, 127124, 32488,
  28566, 631, 37608, 9436, 205039, 166709, 41813, 62681, 162340, 51007, 104187, 135517, 33216, 370029, 46677, 42823,
  16849, 22305, 32170, 4155, 35847, 216420, 4908, 9704, 221339, 1461, 36764, 69322, 94851, 163847, 168141, 1238,
  26533, 64284, 196577, 46554, 71469, 97500, 18030, 75035, 1805, 59036, 59485, 22807, 3804, 35946, 47500, 82026,
  12935, 1196, 59186, 36123, 45483, 48905, 122736, 84743, 71020, 21859, 105891, 19409, 36310, 14933, 324632, 9477,
  65381, 15301, 17544, 116221, 192960, 28345, 33914, 9479, 34240, 10843, 107872, 10760, 35165, 170015, 15849, 66429,
  59773, 117561, 48895, 53810, 1248, 297457, 78131, 22215, 46954, 15473, 66440, 19176, 155332, 67372, 63874, 27562,
  96864, 44731, 33316, 68027, 4246, 61528, 60417, 153158, 388800, 242889, 139912, 30680, 16129, 184234, 14284, 220334,
  57133, 2684, 29537, 163409, 74592, 22341, 14608, 7820, 44807, 52082, 34669, 735, 442014, 5199, 156652, 115585,
  38203, 46928, 26751, 41163, 42574, 23000, 40485, 193202, 80818, 24685, 30063, 46336, 91592, 38350, 16019, 204886,
  26377, 35729, 24114, 14839, 36424, 82137, 58468, 208317, 65760, 107517, 111976, 169534, 977, 88148, 88506, 104279,
  77387, 49741, 55001, 102462, 22628, 16787, 70803, 44152, 147610, 49926, 3305, 34988, 28018, 39850, 1762, 172940,
  30561, 35822, 23734, 154547, 98454, 6287, 35558, 37540, 6969, 16948, 182134, 68275, 119628, 26385, 69050, 27987,
  63648, 91787, 15241, 69688, 18170, 23405, 63549, 172789, 36854, 149944, 199582, 50387, 26601, 61662, 165764, 15740,
  64018, 188861, 204663, 14506, 22027, 34003, 37949, 76827, 37279, 69128, 41728, 50954, 51395, 91070, 77327, 418272,
  152934, 102026, 34299, 2147, 21153, 7074, 4236, 29765, 9430, 213559, 43803, 10595, 58760, 69911, 261653, 87745,
  194742, 224, 344942, 28518, 5330, 188455, 29445, 39380, 55115, 37739, 135330, 40527, 34158, 67980, 2019, 20921,
  28917, 61353, 29277, 143760, 174111, 25315, 233758, 5380, 13171, 38385, 49725, 63589, 122326, 12646, 695, 115120,
  1526, 21427, 111543, 128260, 43896, 37771, 92334, 46393, 66094, 257494, 18659, 47526, 25325, 7287, 24994, 1200,
  4234, 136264, 35864, 150235, 148354, 9687, 28790, 43378, 11450, 185999, 16029, 3010, 275, 54840, 18620, 5465,
  18999, 14941, 133430, 7102, 112191, 67383, 37978, 43984, 44365, 118346, 5294, 4294, 22723, 21609, 95097, 56653,
  68409, 57456, 462, 22817, 8733, 4115, 95791, 28344, 57746, 79153, 1397, 207599, 96565, 211156, 90894, 88357,
  75007, 67110, 7600, 143795, 14196, 17993, 7370, 47401, 108844, 40816, 2129, 578, 29475, 1352, 164155, 115861,
  88599, 265011, 72917, 44900, 177563, 66133, 61076, 81186, 100792, 66415, 27198, 24480, 106156, 32719, 8226, 19302,
  86323, 65704, 91571, 74710, 93726, 40774, 166720, 71206, 14248, 159482, 104866, 13711, 135341, 12882, 22933, 26886,
  194131, 14226, 57391, 10865, 40126, 114370, 59004, 62802, 47099, 37870, 61471, 61712, 14779, 23150, 60956, 17913,
  8272, 31742, 43627, 355564, 39597, 43789, 24868, 17215, 95983, 10850, 171578, 95826, 171398, 43329, 52382, 39205,
  65882, 22816, 30560, 5482, 28052, 257734, 116033, 49489, 10393, 42391, 140158, 74221, 47213, 10652, 133629, 42182,
  40689, 31081, 114221, 24833, 22120, 71238, 95884, 1589, 72212, 29981, 49555, 59882, 106829, 22147, 12985, 19337,
  34964, 98868, 7993, 32641, 109146, 79730, 82886, 12040, 753, 26623, 20550, 6160, 648, 37626, 156500, 74280,
  21660, 112069, 102650, 29846, 30047, 37920, 38707, 22416, 17527, 43165, 20567, 16777, 181025, 163230, 77041, 93275,
  5619, 104536, 14442, 35376, 145357, 711, 91293, 267964, 4085, 61569, 2548, 27538, 216883, 57568, 2256, 60727,
  9359, 183328, 33919, 77609, 186951, 2807, 102609, 77085, 24779, 43042, 7697, 75938, 53931, 15103, 12294, 16402,
  24545, 7447, 558, 128098, 36197, 23062, 46707, 17077, 223296, 66504, 27982, 13141, 62628, 55296, 54207, 95832,
  168101, 45485, 3146, 80848, 4243, 2868, 16953, 33358, 107313, 27188, 53837, 35648, 30321, 5098, 8014, 6864,
  26642, 216648, 15542, 69518, 13049, 164033, 260760, 92714, 51059, 3646, 38963, 53961, 31027, 65718, 8441, 195966,
  107912, 99428, 28516, 18239, 807, 22455, 35712, 38565, 73550, 133659, 118825, 32367, 26551, 30301, 28367, 11762,
  84369, 86004, 37814, 44184, 122422, 57026, 4072, 40865, 165872, 25809, 54060, 35341, 49754, 17581, 103700, 118548,
  74213, 178685, 2053, 49373, 234264, 17223, 35164, 99392, 33151, 130808, 2338, 24598, 52014, 213186, 156444, 16006,
  33100, 87907, 2116, 183683, 87183, 121897, 25550, 4995, 22365, 1221, 128172, 24344, 52500, 5554, 89782, 2016,
  40013, 70221, 66896, 49588, 23302, 76353, 61452, 21765, 5652, 195585, 31863, 21028, 72723, 127694, 101106, 10744,
  21404, 46840, 4864, 158406, 26107, 219205, 22949, 68216, 48434, 46124, 8871, 21467, 587, 110874, 46178, 110709,
  94049, 110687, 194252, 73380, 168493, 40871, 84591, 4279, 96418, 78366, 113568, 80733, 32871, 103415, 9257, 39835,
  70860, 74701, 43788, 318366, 31709, 7528, 5382, 22765, 25128, 2525, 52257, 20911, 443, 56027, 55517, 12403,
  71597, 15617, 196829, 263547, 166253, 113889, 151910, 27229, 15670, 56695, 27118, 39691, 70994, 5859, 9227, 98270,
  26341, 176547, 121365, 69700, 133675, 164631, 110015, 41477, 28280, 6013, 20657, 210461, 75491, 126050, 3380, 248649,
  54756, 7374, 93034, 88191, 47955, 22642, 141231, 44151, 56028, 10051, 42742, 54389, 26182, 179888, 17595, 29573,
  11952, 45860, 19676, 264, 113272, 40733, 10627, 68835, 472197, 159006, 64051, 34066, 64640, 150352, 25206, 68762,
  110753, 23633, 22112, 20042, 17919, 163270, 55949, 19557, 337, 124601, 60155, 130764, 50642, 63188, 8357, 143714,
  22576, 35676, 36362, 24812, 142, 40272, 89438, 24448, 87371, 105259, 16947, 36015, 53391, 136, 23199, 36073,
  93210, 18431, 41934, 10593, 126694, 48847, 17533, 34029, 15285, 65070, 33592, 113537, 19642, 73194, 284546, 137425,
  85667, 129350, 26968, 6511, 14148, 31670, 30205, 11076, 1506, 220046, 7034, 329567, 42092, 19955, 30867, 21935,
  52962, 31820, 69932, 14236, 33243, 12574, 10827, 39690, 11970, 174135, 28153, 146891, 20734, 126712, 21323, 40265,
  135843, 199355, 58115, 49038, 57044, 54396, 16409, 31133, 58880, 32408, 26984, 27298, 13002, 35976, 171154, 61387,
  219134, 82951, 17625, 78088, 22876, 4261, 5497, 9679, 64754, 2492, 263964, 159492, 232519, 20547, 74430, 377501,
  4257, 30374, 461, 33465, 43120, 162710, 65294, 50518, 321573, 5955, 131205, 93895, 24799, 9658, 5858, 13871,
  64526, 19652, 2901, 70075, 124728, 146097, 98082, 100551, 52579, 153823, 113631, 22528, 81472, 25792, 60475, 32767,
  70831, 74749, 72861, 41755, 276848, 7157, 25389, 110028, 17403, 27510, 251623, 58039, 74359, 18091, 50708, 89467,
  23021, 20850, 106672, 3962, 182101, 38811, 122104, 32394, 74597, 3381, 18651, 101115, 23744, 97817, 110293, 37253,
  148267, 36198, 3519, 55601, 12055, 42944, 34271, 133263, 7976, 95413, 91635, 5598, 5349, 58679, 57950, 154564,
  11772, 149366, 22890, 8626, 67540, 3799, 18687, 5012, 167347, 116945, 44732, 33287, 65318, 71035, 71417, 65941,
  18720, 30185, 48199, 202749, 127832, 1587, 3246, 105625, 108238, 117159, 28014, 104782, 22828, 55738, 81738, 11163,
  90233, 17250, 4750, 188510, 9987, 20638, 16031, 14461, 259080, 49305, 190390, 14691, 118185, 22004, 72005, 37574,
  73209, 86700, 86886, 144339, 79270, 53654, 14505, 129204, 13775, 25931, 7131, 15330, 90100, 52622, 10877, 9834,
  137742, 2258, 125407, 10878, 90799, 219424, 85936, 9073, 70569, 42871, 11487, 17205, 15699, 176689, 145652, 13840,
  19961, 3187, 108771, 19907, 9087, 61130, 38770, 130505, 67475, 29769, 18202, 59283, 57872, 91097, 48087, 6535,
  39731, 194914, 82462, 72799, 8810, 20369, 69590, 161138, 134897, 1655, 228453, 124246, 131868, 32125, 24266, 32982,
  146849, 36964, 41316, 2497, 19898, 151088, 186502, 25460, 3334, 5126, 116461, 28025, 2281, 35537, 44808, 12910,
  167061, 87358, 186367, 9640, 91073, 100691, 122545, 45892, 60356, 46145, 149118, 90693, 467742, 151743, 138009, 53160,
  74712, 7571, 311165, 28817, 188, 2377, 69313, 29598, 53179, 50217, 129275, 459470, 137679, 65308, 18477, 51126,
  92769, 135453, 6508, 23061, 29241, 3159, 63876, 36946, 9537, 41270, 4306, 50909, 132595, 108954, 42730, 19664,
  80119, 116744, 47895, 141726, 1041, 20154, 230804, 208216, 88962, 27133, 7095, 34643, 5976, 24608, 31719, 12859,
  40171, 32072, 88409, 11313, 44911, 91010, 24472, 25842, 102859, 76732, 14848, 25181, 139059, 102051, 109383, 112500,
  104558, 41471, 92391, 7314, 98987, 4288, 8166, 373942, 47761, 86881, 41222, 3712, 19272, 32290, 21185, 46273,
  71472, 64765, 57109, 135608, 113864, 48751, 60216, 15724, 175377, 27567, 112796, 18273, 73338, 51592, 245687, 100900,
  10857, 55010, 31720, 50806, 23402, 71732, 1067, 129268, 23758, 39673, 37515, 71954, 1591, 31733, 27822, 35424,
  139864, 46227, 8017, 50399, 5644, 74021, 28076, 85584, 4076, 127136, 37464, 102260, 118760, 24879, 11109, 28407,
  16427, 136669, 88300, 8782, 134198, 49502, 5217, 243528, 18853, 31871, 85719, 9313, 20291, 111347, 8859, 232793,
  100849, 152830, 105869, 31365, 37423, 46174, 5288, 386390, 22038, 11906, 5770, 10139, 36677, 146746, 11499, 81033,
  19071, 79322, 71912, 26542, 195521, 10379, 25001, 31339, 57445, 2750, 6263, 58554, 11069, 15459, 87289, 89651,
  31869, 529, 435067, 57142, 55718, 10724, 15530, 50660, 66882, 102319, 10462, 143371, 148490, 217411, 10252, 44760,
  44, 24999, 38673, 7037, 41296, 7080, 103758, 32647, 75242, 101191, 76455, 28603, 49704, 54470, 60157, 16716,
  166810, 63760, 52521, 49375, 9906, 135040, 4540, 38220, 20943, 103257, 50219, 154213, 122258, 73230, 121482, 29653,
  49112, 43518, 71058, 63793, 105667, 44288, 91681, 25034, 15969, 72202, 23056, 81246, 10344, 93662, 911, 44819,
  6408, 52562, 5953, 16497, 187694, 1131, 63578, 47977, 21399, 61396, 149533, 57971, 72742, 5611, 13207, 221621,
  58970, 79728, 27059, 171306, 14867, 7768, 72956, 52885, 14376, 30921, 9280, 8158, 81889, 33376, 39155, 71120,
  41856, 131166, 105010, 30693, 23225, 58453, 31791, 3690, 15042, 11816, 43900, 117272, 56993, 64225, 105202, 54205,
  16074, 71491, 22908, 25691, 131389, 59527, 11646, 42043, 74276, 34270, 28537, 26163, 72407, 41791, 219412, 115141,
  53875, 38258, 76312, 84827, 383108, 40765, 11202, 132777, 53597, 167648, 158387, 30192, 37363, 40773, 1146, 72250,
  68993, 32806, 59487, 128806, 44854, 6158, 96774, 39870, 122548, 5997, 50579, 45575, 430927, 3282, 94975, 100509,
  198279, 200501, 32872, 18750, 38430, 107646, 104178, 8936, 80409, 100084, 192864, 160858, 12245, 67627, 83578, 90755,
  2981, 54132, 8983, 55539, 628, 33889, 292355, 74386, 2818, 172034, 214107, 19271, 17760, 834, 34352, 169686,
  37437, 145284, 73189, 54617, 238229, 4948, 71657, 94135, 7968, 30905, 23213, 304209, 46892, 61572, 104947, 117623,
  2200, 107472, 204184, 88505, 3730, 10311, 20501, 150712, 34190, 70936, 38672, 37360, 65983, 2571, 19225, 134448,
  37959, 151534, 4637, 20807, 112291, 80673, 5980, 35705, 87850, 61874, 47965, 31875, 70827, 182878, 35126, 164376,
  6522, 43040, 97902, 71998, 20750, 38267, 227637, 76251, 73913, 116387, 6656, 46715, 111621, 13498, 6684, 248541,
  41652, 32337, 11354, 14685, 19587, 16826, 46225, 7338, 2780, 13317, 78374, 44055, 58668, 1088, 55437, 86278,
  25916, 40461, 78119, 116159, 85259, 146157, 14297, 2255, 18200, 39030, 6734, 42798, 168962, 119973, 38038, 22310,
  95781, 125342, 77701, 24562, 42445, 51140, 84077, 79797, 102050, 55904, 96004, 87841, 7776, 193841, 23065, 73430,
  57662, 41418, 52176, 99003, 103313, 45282, 85005, 26027, 47742, 65487, 4547, 20906, 96358, 53110, 36530, 18902,
  41964, 66288, 159127, 54902, 66174, 22317, 184026, 50221, 100396, 167624, 175279, 22979, 29069, 146485, 480, 42086,
  204735, 209840, 27750, 486, 19679, 2874, 101071, 35317, 27978, 40196, 245641, 90054, 7479, 4028, 52060, 61770,
  40264, 884, 39262, 47984, 22534, 2991, 111271, 48232, 61183, 27973, 80376, 56009, 36081, 165143, 131566, 47390,
  107436, 17924, 139245, 18948, 58223, 25723, 60245, 119466, 14680, 77779, 96719, 17119, 23002, 182396, 70393, 3161,
  101311, 78419, 54640, 23621, 24716, 19555, 111633, 409, 124108, 27386, 2245, 258216, 12908, 23526, 10212, 69858,
  5646, 124783, 685, 22255, 31750, 16915, 43000, 28583, 40380, 54912, 117699, 74670, 14215, 28794, 179610, 6571,
  232799, 21298, 4374, 40448, 102772, 82421, 69208, 18356, 14122, 42989, 68207, 134104, 96775, 342439, 22630, 77974,
  61398, 44393, 92954, 93632, 50917, 174764, 71894, 24307, 12096, 8836, 209934, 117370, 149880, 80277, 3249, 24377,
  67833, 1203, 220478, 45163, 598749, 19930, 49756, 19462, 124194, 104517, 87257, 36828, 155871, 228667, 44446, 48887,
  49216, 262088, 45585, 33699, 790, 142940, 1214, 51939, 14677, 49283, 82736, 30811, 65319, 13215, 29155, 8388,
  56917, 46741, 80552, 21318, 7440, 61972, 13877, 113912, 145744, 1135, 64582, 45451, 95701, 94255, 93908, 15993,
  12206, 4906, 63468, 345616, 49405, 22021, 38717, 72500, 129269, 41952, 6995, 118167, 76199, 30271, 54602, 17741,
  45732, 43176, 108447, 54078, 9767, 2976, 31141, 98669, 11058, 3418, 36920, 28316, 9047, 12901, 81784, 44333,
  210885, 31029, 19486, 48518, 11051, 76288, 43203, 81787, 7392, 48679, 35182, 66212, 26307, 52539, 2090, 49456,
  2130, 146238, 10565, 420461, 8132, 25081, 22634, 263972, 147526, 30634, 102378, 79556, 20802, 111069, 161896, 208679,
  232698, 76981, 47548, 35236, 115660, 54019, 196404, 365534, 50060, 190162, 23999, 64445, 59789, 24002, 10716, 4605,
  57344, 32663, 9089, 10394, 107623, 22597, 164592, 49576, 80343, 5393, 4211, 9135, 112676, 3507, 56842, 26209,
  23291, 13451, 13815, 72724, 9866, 28546, 4585, 11238, 160971, 144491, 17045, 4629, 34032, 57499, 26471, 40064,
  118291, 51528, 233736, 42900, 15719, 86514, 25147, 31587, 59730, 27331, 34546, 93487, 164911, 55981, 1017, 52398,
  28975, 111773, 14576, 7163, 2659, 23748, 94127, 7591, 58046, 118031, 293274, 2302, 78480, 108856, 26363, 33313,
  21854, 78915, 9334, 18530, 66209, 195667, 8136, 17789, 53863, 87424, 64346, 25683, 109085, 21080, 41596, 10885,
  116045, 55411, 15616, 32700, 29021, 102829, 16981, 4307, 46481, 113835, 166601, 106369, 107552, 19257, 124248, 5139,
  22130, 56921, 41150, 3696, 18764, 5694, 250839, 81058, 70254, 74576, 7048, 33695, 31272, 9587, 51251, 12329,
  11300, 219240, 77500, 229429, 52460, 62159, 41229, 11359, 43933, 8689, 31439, 145750, 84738, 78427, 136685, 118384,
  20721, 79633, 31973, 11098, 53869, 52988, 3196, 72237, 190840, 185112, 79139, 28639, 79673, 97047, 9398, 15414,
  105300, 137313, 85877, 40993, 7561, 3929, 57151, 108868, 321817, 76740, 180609, 35166, 66924, 90464, 82436, 5838,
  13940, 45290, 67026, 19641, 33281, 26857, 36996, 98291, 101046, 54893, 50303, 114759, 183181, 305580, 14099, 33514,
  32176, 17094, 121586, 67669, 71878, 42975, 11177, 90273, 5678, 12886, 12867, 27433, 62924, 67753, 13445, 21183,
  79535, 24720, 155338, 122583, 56646, 51283, 120295, 43762, 40303, 86530, 14604, 190243, 19559, 88421, 25961, 150460,
  27703, 51292, 26294, 109748, 93042, 39631, 12236, 40405, 73368, 57016, 74750, 36429, 42187, 74845, 176283, 98118,
  3670, 19744, 24913, 39170, 37376, 11919, 150215, 7637, 46440, 61291, 85017, 262212, 7023, 214701, 15499, 13794,
  36816, 64790, 2778, 127954, 109628, 14013, 60615, 35098, 20680, 32322, 6631, 27129, 5940, 3801, 64451, 3605,
  276440, 16166, 42526, 46620, 275233, 3268, 98778, 42589, 170848, 13985, 52719, 40320, 112093, 58444, 41626, 122502,
  136996, 26123, 73872, 45093, 14984, 31647, 91921, 180982, 20226, 196060, 19058, 85542, 111441, 139969, 139431, 39188,
  77693, 106755, 134828, 38509, 112960, 28035, 81045, 32920, 48577, 41211, 1169, 51509, 39370, 57152, 7562, 65585,
  55707, 16633, 123632, 42194, 50314, 21232, 7589, 10730, 123404, 177035, 1102, 100263, 26570, 53756, 25965, 84962,
  54281, 98616, 1761, 302765, 61372, 4231, 11004, 6580, 123391, 152361, 53908, 15894, 4857, 138528, 185271, 79781,
  35928, 183068, 199461, 71306, 246740, 25571, 212575, 29887, 132507, 135536, 39243, 171966, 106646, 38340, 64208, 46548,
  44241, 12489, 59841, 52248, 7196, 49745, 18871, 214620, 92258, 92083, 128377, 10678, 9825, 273, 124186, 8170,
  37688, 47121, 81217, 46232, 51197, 22560, 24038, 76445, 303141, 269387, 168244, 7423, 5590, 148765, 8018, 44136,
  15476, 24093, 81595, 151484, 132986, 88790, 24759, 249112, 10955, 113624, 1490, 61893, 85782, 267543, 81516, 155220,
  34486, 85773, 20198, 5827, 26696, 182958, 47877, 133459, 7991, 47474, 35921, 5055, 28813, 58299, 36457, 2282,
  18858, 199851, 25971, 38032, 39546, 9892, 80469, 94210, 11703, 7530, 262048, 119116, 11365, 73348, 20636, 76662,
  38185, 147830, 33090, 12842, 5716, 136557, 29208, 2738, 93555, 29435, 37866, 29232, 11925, 18290, 200392, 9150,
  40121, 28353, 66557, 42934, 60002, 7949, 165121, 44607, 6985, 46265, 88952, 117927, 10976, 127994, 45713, 196202,
  171384, 16237, 17072, 82678, 3887, 53943, 11497, 25289, 43394, 194558, 17520, 13713, 13337, 10319, 13519, 27977,
  56346, 1512, 69563, 16655, 6381, 207119, 32722, 52407, 252336, 7634, 295451, 137340, 39573, 12588, 51167, 91362,
  75042, 12378, 44599, 44996, 53711, 62621, 59425, 154573, 1028, 6863, 70608, 89277, 31781, 37585, 33115, 45438,
  44295, 19441, 13395, 85115, 95925, 51396, 98398, 31173, 131713, 76310, 2356, 18575, 7214, 48396, 22367, 234325,
  68125, 225602, 25129, 98668, 43571, 24981, 27341, 97198, 70954, 116350, 138790, 6397, 213234, 6496, 199647, 33078,
  1628, 16810, 38131, 5432, 8760, 45379, 187797, 54575, 13391, 66830, 185263, 43959, 65485, 1291, 64470, 193537,
  17320, 32341, 19589, 46922, 56038, 16790, 33933, 93128, 1710, 22162, 60010, 166501, 25248, 110735, 133168, 19601,
  60803, 25674, 33996, 3691, 57399, 83385, 754, 371286, 19839, 26834, 28124, 75623, 3870, 66122, 97406, 47346,
  326, 7492, 166, 56406, 281556, 73496, 63104, 70066, 50945, 17847, 47599, 57275, 72400, 26598, 25290, 133091,
  21460, 6170, 26197, 90337, 316244, 23380, 15810, 44542, 75619, 115807, 61180, 160228, 56246, 187764, 113793, 119939,
  98775, 14502, 129669, 102901, 481, 18772, 33749, 181939, 13513, 80163, 57426, 95677, 55765, 123256, 156375, 131050,
  50427, 85036, 176699, 53355, 7388, 116459, 9415, 65345, 123519, 14467, 53003, 35892, 32929, 29108, 141336, 7280,
  57908, 121975, 16321, 66321, 27124, 17980, 13278, 64623, 61316, 27319, 33770, 106870, 101097, 65509, 32584, 7662,
  57467, 42561, 35131, 72066, 30228, 57341, 330807, 12061, 48792, 30042, 47357, 5873, 10788, 40943, 43598, 71460,
  20402, 3772, 196771, 8512, 37318, 98225, 52470, 20068, 50526, 32163, 6724, 21, 155730, 109241, 153690, 41562,
  34456, 4040, 322, 2322, 158065, 82495, 155777, 84593, 145305, 52472, 4167, 12757, 17832, 20800, 6523, 97949,
  43733, 5158, 13272, 52760, 64052, 64053, 5758, 88849, 4506, 28625, 252038, 68417, 35072, 144810, 45051, 20202,
  205355, 88775, 28776, 58617, 177028, 20250, 77055, 25756, 184004, 13595, 134521, 29706, 187081, 41138, 39350, 69874,
  68616, 45852, 200508, 35308, 35938, 187989, 19158, 97, 83703, 30783, 33740, 8875, 10367, 31971, 9154, 23524,
  36892, 35352, 34135, 16609, 93186, 10325, 61501, 123818, 260137, 38611, 132695, 10376, 51934, 40069, 47671, 13891,
  89970, 27882, 128001, 251194, 4985, 3138, 130144, 157048, 23445, 50690, 120275, 98986, 26755, 15060, 110524, 20070,
  21558, 21044, 241916, 81443, 7948, 110867, 98839, 117178, 78741, 134771, 8767, 9438, 23376, 10179, 78727, 73418,
  124405, 70709, 73897, 174550, 85594, 44683, 44048, 151892, 68596, 110549, 32110, 143310, 57536, 6531, 94425, 3086,
  49351, 16758, 85882, 1621, 12619, 28857, 47203, 30663, 56593, 71986, 13128, 49100, 132668, 101411, 14597, 17845,
  99924, 49653, 254641, 68928, 109728, 11860, 46362, 38227, 71844, 106860, 76428, 22535, 71935, 47939, 100970, 214387,
  196018, 26420, 64000, 108949, 65464, 85292, 57337, 107755, 17617, 127677, 45676, 32224, 14987, 15885, 23365, 73603,
  89701, 45904, 16644, 214947, 143773, 45929, 4638, 50137, 33997, 6717, 227758, 15712, 8687, 13499, 81744, 240749,
  22701, 43383, 31416, 14599, 33258, 22158, 46890, 13056, 2914, 36843, 11727, 56468, 4436, 2709, 77185, 66068,
  72108, 79794, 13174, 6017, 85610, 25092, 117935, 33783, 9671, 20404, 190908, 59000, 49067, 32677, 203049, 32652,
  2327, 64872, 122696, 32308, 82988, 180624, 3995, 109656, 1361, 89288, 58639, 34932, 1672, 23129, 114033, 56989,
  44033, 18540, 122789, 23587, 35777, 124932, 162078, 37243, 30269, 38337, 87579, 108472, 24057, 7318, 56171, 14522,
  10605, 36398, 2675, 68455, 82236, 229893, 28011, 180822, 616, 32685, 24540, 51512, 15793, 167325, 12485, 108625,
  13919, 125674, 46942, 46777, 47249, 192801, 19663, 7112, 112086, 41046, 136949, 15147, 116698, 102811, 103661, 220539,
  9484, 36775, 262931, 43580, 80207, 119020, 20707, 35285, 90574, 74644, 25380, 59691, 33304, 112273, 100827, 37498,
  68624, 28392, 22953, 10192, 93127, 6246, 78709, 81865, 56101, 3539, 141381, 87190, 42210, 15605, 33843, 301219,
  160929, 15074, 16495, 322258, 4827, 113897, 61108, 7004, 38995, 49556, 40164, 186048, 38095, 7638, 85669, 24310,
  4701, 41162, 181937, 6723, 125119, 103514, 13105, 42284, 5027, 699, 66990, 9452, 33680, 16754, 14243, 12215,
  9236, 9693, 21846, 11245, 231236, 26285, 119411, 107569, 14135, 13418, 13188, 12438, 87837, 154259, 13184, 45250,
  23318, 104289, 32255, 140998, 70261, 10596, 72378, 28503, 78893, 204776, 26664, 107431, 30151, 53770, 139833, 72090,
  81482, 31259, 9478, 50013, 14332, 4473, 8040, 96916, 1084, 3459, 15193, 216567, 74256, 68159, 8514, 64488,
  27532, 4063, 51181, 118473, 46644, 135301, 17479, 19499, 79185, 32968, 60750, 136481, 3148, 433, 1609, 42629,
  62615, 19220, 27930, 149236, 6981, 35309, 3835, 52812, 55672, 37988, 64541, 83189, 31668, 21678, 96359, 51037,
  36825, 16611, 55113, 22398, 1849, 16045, 71184, 149329, 14536, 231005, 89158, 27040, 37446, 89933, 98572, 9183,
  14738, 180870, 66669, 119194, 23779, 41333, 133198, 165958, 43058, 12753, 4695, 25960, 162749, 13009, 104735, 168462,
  72199, 56087, 30780, 17289, 1168, 63376, 32319, 148939, 21346, 183499, 57766, 111111, 5592, 163921, 51902, 6385,
  85932, 38348, 98269, 48430, 85302, 6828, 144609, 62182, 9668, 31728, 14877, 74838, 18351, 19716, 44331, 8938,
  57135, 111212, 35796, 196509, 150360, 14184, 81850, 64400, 2080, 43786, 89260, 297313, 228015, 4259, 2273, 106355,
  77953, 79956, 258556, 39080, 34670, 38042, 9041, 17580, 119302, 94867, 12312, 65168, 151751, 14199, 84612, 41781,
  31009, 41498, 2644, 8135, 106725, 11873, 65756, 50677, 84265, 100278, 19103, 25944, 45214, 71109, 29333, 199959,
  59289, 28006, 82735, 73888, 74178, 9357, 31611, 55567, 113071, 91025, 22225, 16280, 263206, 143472, 82038, 1016,
  111009, 3454, 111282, 6624, 4021, 148481, 82606, 3337, 44449, 87085, 117440, 117450, 188119, 96922, 66328, 69088,
  192629, 7164, 177681, 13842, 123592, 13678, 3709, 1404, 392506, 88363, 34011, 3111, 292847, 35632, 135945, 165656,
  114487, 28103, 36070, 105813, 12831, 13767, 283706, 20001, 205858, 222376, 26231, 74767, 9852, 14707, 55251, 21778,
  20780, 81817, 61071, 27574, 79648, 73651, 59592, 26903, 75767, 1269, 47843, 22121, 357014, 1880, 118720, 33888,
  97721, 25074, 162232, 165250, 18166, 101436, 126490, 14600, 21005, 87059, 98216, 138975, 67950, 11357, 183453, 60893,
  33226, 31203, 30167, 34258, 204009, 158681, 64517, 2772, 16536, 8063, 37505, 72518, 2987, 13469, 1060, 70404,
  11335, 58467, 606, 80478, 66717, 28334, 72244, 111835, 144910, 7759, 9382, 16929, 47950, 24768, 18442, 3812,
  17262, 78772, 57860, 139250, 55060, 192875, 157943, 1432, 15063, 5317, 91497, 24602, 2934, 71481, 112610, 7454,
  51038, 67723, 15783, 27576, 26775, 96465, 16801, 41801, 178497, 1952, 4258, 35229, 66008, 12359, 80274, 39191,
  3427, 79381, 23113, 37373, 49433, 369, 197495, 44949, 128592, 41764, 85267, 26089, 20036, 84751, 45080, 183648,
  157553, 6777, 354790, 8756, 63861, 32306, 73479, 133947, 3089, 129130, 28938, 68599, 23015, 83388, 4921, 46304,
  51210, 118961, 162098, 13808, 28696, 56249, 178796, 65420, 35933, 130109, 17053, 154383, 49942, 34368, 45185, 215004,
  71135, 72056, 58502, 92030, 231518, 3061, 31419, 84551, 99620, 59670, 13439, 24874, 17248, 49981, 120, 101486,
  21835, 11954, 21387, 80202, 176536, 69099, 25576, 83929, 20676, 54972, 21235, 121229, 16944, 207747, 17151, 62192,
  38700, 14914, 67294, 97250, 165831, 65091, 88309, 65140, 233253, 78072, 119737, 2388, 295625, 75403, 48047, 5295,
  36723, 97958, 31105, 11399, 13023, 94081, 105941, 87375, 52745, 78093, 142695, 58118, 10907, 36936, 47744, 98453,
  19423, 63195, 135090, 155076, 67972, 116671, 181141, 76674, 125868, 7497, 7282, 18173, 95473, 37926, 40931, 83084,
  82875, 9577, 10786, 82123, 1183, 13043, 25845, 7930, 108455, 108021, 144839, 298080, 52685, 25893, 74303, 83892,
  33417, 167899, 3363, 124169, 64095, 3491, 11574, 30740, 21433, 19985, 31353, 13355, 52438, 74347, 30435, 24346,
  33191, 43579, 92911, 14343, 127809, 55919, 202307, 87794, 44505, 85592, 45, 37946, 211823, 75477, 10315, 11020,
  7810, 8418, 14824, 32246, 2752, 43445, 78058, 51648, 95548, 28128, 139532, 78431, 162031, 54035, 118501, 105304,
  7185, 33563, 841, 39346, 91196, 67423, 12694, 225158, 47563, 63637, 48178, 53247, 61721, 57205, 32651, 77002,
  33359, 256934, 6389, 100897, 17897, 60470, 2058, 38569, 23682, 58623, 3141, 225129, 42806, 36558, 74186, 65297,
  178101, 65934, 727, 11385, 22874, 28253, 252846, 104582, 49707, 66565, 52743, 129552, 199897, 4526, 6020, 48400,
  75419, 48628, 13529, 146713, 82456, 3396, 19131, 77933, 8618, 26055, 136494, 270517, 11171, 161242, 27374, 10081,
  79712, 4483, 132351, 34334, 116847, 98238, 115123, 62251, 18783, 13247, 236033, 17204, 44190, 86807, 31546, 3315,
  46564, 61125, 188041, 5405, 5346, 199954, 2749, 50374, 59046, 179633, 124580, 35456, 95032, 68263, 16037, 104183,
  7893, 68877, 23745, 4536, 14916, 44942, 88134, 154142, 3214, 4074, 126680, 444, 26800, 13417, 122265, 141794,
  24172, 9594, 4737, 198047, 121453, 10533, 56408, 70714, 34362, 74346, 24830, 15909, 10250, 226352, 86319, 65102,
  17408, 113698, 65723, 192701, 18888, 29804, 92420, 119089, 4840, 52158, 6809, 47211, 68696, 127333, 9079, 122944,
  22831, 10761, 65707, 48241, 13162, 83275, 41056, 127568, 36005, 52744, 10097, 2969, 32512, 44770, 40452, 180033,
  14800, 160155, 1451, 16499, 62357, 50678, 47022, 118784, 41723, 26067, 60563, 169681, 45046, 58619, 46085, 32423,
  27247, 64149, 46183, 1743, 37486, 3802, 17194, 24647, 5372, 19756, 118649, 4609, 2564, 83610, 112562, 46541,
  34261, 17420, 81688, 66264, 298500, 194042, 239563, 21230, 66509, 23479, 154376, 33179, 133920, 158984, 47967, 146524,
  89138, 72960, 127604, 25358, 31305, 13512, 95336, 27420, 117697, 9777, 159295, 2091, 19097, 4938, 15518, 81702,
  108304, 448058, 126466, 7371, 81386, 239535, 1607, 211558, 84106, 53806, 374, 125065, 23802, 113479, 52151, 46803,
  46411, 21764, 51063, 22432, 63304, 31295, 6642, 26992, 946, 58917, 74562, 10672, 51417, 1090, 157283, 6175,
  41777, 30873, 49434, 31205, 41041, 70979, 28851, 11292, 19501, 20377, 16444, 125033, 115864, 49848, 35298, 117499,
  60743, 35553, 7657, 117188, 294354, 1111, 19913, 107692, 37955, 25543, 107874, 180298, 94165, 181537, 43123, 3058,
  18116, 7886, 11895, 8962, 1156, 81655, 22350, 1372, 17937, 241608, 114745, 32122, 20645, 31944, 32077, 3682,
  57114, 6050, 45126, 4535, 90804, 42423, 18205, 88298, 58042, 4218, 130816, 58944, 48643, 192539, 3516, 129850,
  92288, 67482, 5645, 6008, 9861, 19038, 25523, 48393, 2557, 163977, 7711, 69978, 88546, 98350, 106098, 5102,
  61333, 26201, 45643, 21353, 101008, 50380, 9018, 90864, 12853, 151908, 45670, 48604, 5148, 32715, 39819, 1925,
  87856, 45697, 2007, 66226, 4152, 9542, 6588, 36053, 144503, 58516, 41489, 32328, 73841, 5629, 33075, 228550,
  18718, 1278, 118540, 138339, 9789, 1171, 99245, 73118, 147565, 168255, 51267, 5701, 10846, 18000, 6368, 25481,
  42085, 30996, 30750, 21874, 12789, 33285, 67958, 162991, 30223, 14020, 26867, 21295, 8993, 66175, 79515, 148442,
  56352, 397258, 104422, 69338, 67203, 81, 103746, 192218, 2448, 103541, 4268, 26498, 28215, 26795, 119536, 166999,
  6052, 116957, 18923, 77982, 23540, 54054, 31372, 18430, 126319, 39890, 1756, 5893, 75933, 40146, 271195, 76657,
  36689, 21496, 89710, 61547, 80235, 15197, 81995, 39003, 23231, 6321, 26632, 19783, 23561, 14948, 63802, 56505,
  21383, 38408, 16252, 72824, 38800, 196129, 74267, 8127, 77548, 48102, 87833, 36171, 102798, 47900, 15495, 173684,
  21234, 30001, 52403, 46069, 31468, 16788, 57124, 45489, 158608, 82654, 59957, 10410, 46188, 171714, 31155, 59538,
  63960, 149773, 98372, 22924, 191679, 82803, 49057, 16752, 8051, 157358, 24903, 23142, 67014, 23023, 30666, 6199,
  11185, 61761, 108153, 49193, 170078, 64795, 286604, 157605, 42186, 22327, 189946, 54197, 28827, 199449, 44686, 59637,
  34777, 152898, 16645, 83206, 41930, 102775, 24648, 36524, 212079, 95709, 1548, 100504, 12421, 68448, 31268, 474576,
  34750, 218355, 92781, 134981, 24111, 67882, 54747, 174240, 110344, 94961, 114973, 72370, 73918, 15923, 15159, 7647,
  45171, 65568, 43530, 34464, 70826, 34474, 60365, 197139, 141949, 210472, 46891, 121996, 40063, 94408, 12981, 134679,
  23979, 51874, 24714, 19995, 24254, 36223, 157770, 7326, 37309, 94133, 22106, 78205, 26724, 2537, 25382, 106656,
  27179, 66311, 110415, 22901, 24718, 57112, 55550, 53766, 83648, 13063, 9413, 49639, 54938, 59353, 51453, 13425,
  14591, 124743, 17157, 12381, 17425, 61233, 6845, 73147, 29525, 129664, 27744, 5277, 102675, 54090, 98234, 13352,
  48975, 17754, 16594, 102750, 48654, 39678, 70262, 34873, 12316, 8508, 46395, 134713, 8929, 37841, 2872, 44089,
  60640, 45964, 41710, 35853, 41709, 32561, 10847, 30533, 50168, 131914, 35502, 7179, 63264, 101004, 13098, 13461,
  89812, 195792, 68289, 50907, 50716, 618, 42226, 56670, 48632, 3817, 23883, 6968, 38755, 21629, 7154, 3872,
  138583, 91142, 62213, 50389, 160123, 68183, 5493, 38, 55579, 58839, 15930, 157836, 71829, 40468, 28030, 16196,
  24230, 33693, 43412, 1608, 233277, 6049, 16708, 17549, 46322, 16760, 153973, 62078, 39650, 117125, 26112, 36797,
  166388, 166224, 101342, 69645, 34718, 6450, 41096, 88450, 24108, 54215, 7626, 56703, 98252, 7498, 5996, 104382,
  7031, 18513, 1464, 20355, 106695, 12121, 15785, 39445, 62498, 113, 143048, 42438, 18258, 69031, 20970, 28430,
  35062, 185809, 306428, 189608, 217827, 3480, 29084, 79447, 78731, 32985, 65014, 127203, 34824, 4550, 257781, 321144,
  33354, 3217, 218324, 88938, 19520, 11596, 43514, 141333, 60852, 65248, 6297, 11095, 2432, 14119, 13748, 7469,
  60224, 12819, 57422, 64540, 8587, 52981, 73978, 23601, 2836, 30776, 142181, 19639, 62955, 10337, 595, 211745,
  702, 140990, 56342, 19255, 20227, 135292, 29499, 348456, 42285, 59021, 23153, 398, 40560, 12943, 20085, 118311,
  95592, 31441, 30421, 18709, 62486, 96516, 37157, 85251, 11094, 115980, 17285, 128523, 53035, 4890, 10141, 87821,
  143291, 78302, 59857, 33639, 18842, 69975, 11769, 10009, 46177, 505118, 54757, 192067, 77994, 12960, 50591, 24130,
  1770, 3662, 133316, 209915, 9657, 48891, 39791, 15630, 107422, 16844, 81827, 8655, 172915, 60826, 36740, 246774,
  32655, 23684, 174097, 93563, 128716, 9168, 16463, 138739, 25886, 3373, 1869, 35842, 25164, 41241, 1126, 17486,
  156740, 84370, 68201, 98020, 119928, 18998, 6457, 120651, 165875, 3291, 58021, 5480, 85817, 5424, 7918, 43877,
  11007, 125299, 24181, 67060, 89110, 233405, 35096, 471, 33956, 19798, 152016, 168120, 12652, 156405, 133111, 116254,
  65156, 42113, 9958, 120153, 180266, 111540, 269252, 123200, 8494, 34196, 8578, 82607, 36889, 12572, 69053, 33057,
  19958, 67796, 22249, 3640, 20955, 15759, 9894, 33572, 96, 8969, 80871, 33260, 1264, 67165, 9108, 87451,
  118288, 65977, 59131, 17708, 135769, 66193, 98679, 61993, 44754, 23134, 122439, 76614, 86671, 113511, 7544, 55848,
  5632, 21119, 183800, 40580, 19026, 82001, 99485, 55491, 168220, 108940, 236173, 16220, 289120, 163513, 75470, 32902,
  33569, 88755, 3113, 96883, 93821, 299927, 114933, 5574, 66144, 80618, 43070, 125428, 70635, 119887, 3673, 55958,
  7687, 101495, 5831, 97794, 5642, 23968, 7105, 10753, 2714, 39381, 104590, 82035, 55445, 30394, 30985, 36078,
  56636, 42720, 49190, 134117, 71545, 2558, 567, 53812, 184182, 144, 41897, 149050, 93133, 9426, 48576, 19715,
  7332, 68965, 74846, 31701, 37389, 27344, 9014, 157686, 12643, 17067, 29166, 15457, 52315, 133218, 97956, 26560,
  22729, 19455, 100687, 66306, 11014, 31241, 157229, 1036, 158742, 1911, 18856, 8404, 17050, 49637, 105257, 26263,
  152889, 33300, 24194, 15449, 50178, 57835, 89431, 93344, 34601, 52068, 6811, 39076, 41945, 41909, 38286, 221235,
  52136, 190373, 62204, 7398, 9948, 20577, 17514, 97470, 26914, 13538, 27727, 115631, 63548, 60637, 26694, 36204,
  95721, 237466, 17635, 8311, 115951, 155407, 372775, 119613, 40759, 7149, 153893, 29766, 8960, 16679, 2573, 75649,
  158258, 17939, 56612, 138333, 38938, 4371, 39651, 46863, 49232, 4029, 76050, 62734, 48325, 4870, 8916, 70189,
  42234, 482, 51761, 85517, 81523, 299332, 91771, 91710, 253019, 32687, 95521, 66713, 66128, 29849, 16707, 26650,
  40978, 43719, 4139, 42193, 20048, 230595, 55007, 13024, 238048, 4557, 73590, 107873, 38760, 29575, 21439, 27927,
  62928, 129083, 22364, 3858, 122560, 50006, 32925, 40998, 118532, 6970, 5412, 10487, 43687, 53543, 72899, 67285,
  137472, 16857, 46509, 32903, 163689, 209351, 336887, 206325, 26680, 147850, 10276, 166671, 9878, 111570, 4130, 56293,
  17448, 129038, 49791, 3323, 51035, 77462, 50111, 20907, 16211, 5982, 24162, 56278, 60834, 28521, 209493, 95578,
  36749, 39356, 52739, 208999, 29178, 58645, 19127, 12057, 14241, 39982, 78123, 80813, 59868, 6719, 15571, 19762,
  150086, 20349, 278029, 2666, 2305, 133772, 121203, 3570, 26477, 55785, 32824, 6151, 42422, 310941, 94923, 18190,
  34342, 18288, 70657, 25029, 165341, 34909, 320097, 33308, 83279, 75404, 45112, 17301, 33894, 4577, 18669, 9219,
  14257, 107253, 512, 36710, 29928, 16653, 7279, 43478, 12743, 3862, 3899, 37090, 13957, 212990, 2895, 53197,
  125571, 40119, 7450, 95395, 89134, 18938, 54751, 39220, 66712, 44978, 98747, 35334, 10952, 9840, 217378, 35750,
  16507, 209521, 52915, 36820, 147839, 56525, 13285, 1981, 30146, 51236, 7364, 104143, 7249, 222095, 6399, 165008,
  16565, 13029, 27969, 105952, 45399, 41770, 169129, 53714, 39874, 7853, 68938, 61382, 114565, 59737, 77275, 29135,
  215780, 6342, 153711, 36717, 31990, 50742, 2834, 52961, 230881, 31804, 87897, 73954, 171477, 9339, 91416, 34110,
  102, 54930, 1613, 11876, 196546, 591, 20460, 50406, 44538, 17056, 34267, 74596, 10880, 9193, 96244, 29689,
  84948, 20424, 26253, 45632, 281705, 119042, 185961, 44497, 86651, 192207, 11795, 114742, 10617, 265712, 62568, 92499,
  31395, 217897, 187475, 50383, 2342, 23312, 42405, 26096, 453658, 416, 133446, 93547, 43569, 10623, 121978, 21757,
  60561, 74826, 42853, 104403, 132901, 72040, 67234, 59013, 21845, 102518, 153642, 11146, 17727, 102632, 86313, 72775,
  58556, 407048, 21027, 6844, 258242, 89512, 3527, 107940, 22262, 23956, 4850, 30270, 58728, 16998, 117875, 20689,
  4008, 14646, 93000, 1170, 77997, 167859, 54531, 246835, 11806, 26637, 167713, 64014, 37431, 88103, 62362, 304585,
  30599, 44120, 31653, 42563, 81375, 43712, 1534, 49941, 109137, 145866, 103885, 146125, 185787, 22202, 33673, 3681,
  114085, 22277, 2072, 10477, 217292, 47874, 25630, 61064, 97453, 94351, 180344, 34224, 169085, 68184, 1881, 53451,
  30593, 100128, 39311, 3509, 60212, 90102, 7297, 23473, 11544, 261844, 8370, 27945, 102056, 100221, 39918, 115112,
  65580, 27264, 10582, 66982, 2384, 29292, 51255, 8837, 91655, 60384, 127046, 34788, 4855, 82574, 50338, 58959,
  95725, 135206, 28047, 308666, 7295, 41193, 95306, 61581, 157994, 185542, 36976, 28033, 16228, 38830, 10448, 15213,
  20669, 49883, 2493, 9951, 53276, 25223, 13971, 17396, 141590, 48264, 32377, 28668, 105246, 22993, 20557, 139621,
  17334, 37996, 19658, 20744, 25440, 34122, 116482, 22910, 76067, 36796, 67819, 11102, 17967, 9536, 55606, 117501,
  39321, 17563, 65478, 3571, 38911, 73504, 54583, 10444, 11362, 66927, 89439, 14702, 28559, 7682, 1513, 70102,
  63807, 20057, 46270, 21001, 21627, 256959, 184942, 165920, 26468, 36183, 112227, 4448, 85816, 65617, 77464, 8502,
  40120, 56527, 77638, 3102, 1025, 32749, 21811, 153766, 15234, 14725, 328941, 53852, 58319, 90203, 39231, 68729,
  69516, 3450, 70578, 52687, 66512, 8474, 90859, 4090, 124548, 66064, 39981, 28642, 75845, 40634, 22064, 107475,
  78873, 112238, 18036, 60258, 22137, 89278, 35142, 92257, 46681, 60200, 168934, 5658, 51242, 3324, 71459, 64772,
  85683, 32, 475, 18068, 32909, 134334, 1380, 31213, 76747, 9749, 4201, 23438, 35555, 83518, 23878, 30619,
  43396, 224662, 33147, 28171, 101465, 60063, 34256, 71664, 1765, 160809, 93427, 22239, 73094, 35152, 17172, 38091,
  1077, 83764, 93545, 57605, 2962, 9185, 13119, 81080, 39028, 85967, 49835, 9330, 66777, 27605, 184827, 77443,
  57831, 49230, 57654, 174766, 42048, 200323, 166050, 27249, 15828, 76305, 4194, 44524, 13962, 51363, 67697, 14701,
  36041, 69963, 72263, 4470, 63657, 47301, 159567, 22495, 52412, 69094, 411, 3653, 5242, 4607, 116518, 99099,
  58846, 58552, 89470, 53229, 2141, 273007, 27018, 137017, 5506, 4365, 159178, 120422, 219012, 127162, 69641, 26407,
  134451, 42927, 9321, 12622, 3936, 145843, 24141, 64837, 182230, 170529, 104842, 135255, 17558, 17348, 53327, 12872,
  17153, 10391, 30, 74060, 152237, 14185, 205380, 31566, 22621, 30796, 108736, 26638, 49377, 673, 90154, 51194,
  170216, 63571, 45050, 32131, 35257, 17360, 55199, 20393, 68233, 118377, 63209, 4669, 65374, 65781, 84411, 92579,
  6510, 108160, 56952, 192831, 11126, 55557, 110245, 73583, 212151, 16429, 369879, 20590, 7184, 24497, 41359, 86934,
  2480, 131718, 116501, 37833, 22517, 9731, 10757, 78661, 3437, 19565, 6471, 13896, 33073, 74906, 286, 53375,
  30156, 29608, 44034, 13989, 16557, 36336, 11786, 9016, 3768, 30883, 52210, 33318, 55067, 37827, 143891, 319150,
  86829, 93201, 25144, 48395, 91000, 56891, 94800, 60129, 12350, 105311, 185, 78672, 148650, 2793, 13582, 54814,
  66017, 22898, 190292, 69218, 79424, 1785, 10144, 90001, 70885, 6226, 65791, 123504, 49066, 19757, 151381, 633,
  28250, 21135, 4879, 91112, 21369, 79333, 54846, 138302, 51213, 7684, 96590, 49597, 34533, 30172, 13591, 193897,
  11510, 1702, 73010, 42908, 3258, 13889, 151689, 47726, 18176, 159526, 179101, 31058, 18465, 26752, 188829, 15744,
  84413, 58916, 38458, 15452, 6315, 50155, 89783, 5933, 36411, 8754, 11471, 15409, 163765, 12966, 2808, 36697,
  4346, 161209, 70415, 56116, 356, 211098, 14356, 36846, 107618, 53672, 48457, 30017, 598, 176513, 81011, 18982,
  13727, 86974, 48130, 58055, 285026, 119331, 69388, 22734, 162695, 127129, 6676, 10209, 8749, 19120, 28354, 35996,
  14583, 2294, 21774, 7098, 7132, 30506, 68020, 26105, 63521, 287047, 31652, 29144, 184253, 45019, 59739, 54276,
  32378, 4681, 28618, 155387, 25991, 60268, 28085, 115514, 5604, 89273, 73475, 54698, 30961, 26093, 14648, 29343,
  53675, 45157, 6691, 46637, 4874, 13617, 45597, 95292, 84693, 71181, 195063, 4205, 5086, 45424, 49483, 57401,
  34811, 81433, 10920, 60312, 26978, 122016, 164823, 61302, 56564, 35695, 36714, 67995, 7904, 42503, 11148, 636,
  33519, 45175, 78078, 5252, 51221, 95264, 51178, 64304, 113942, 105499, 51841, 54146, 69253, 1646, 75338, 105535,
  6664, 10892, 158642, 62272, 125563, 215912, 33549, 19391, 22055, 105382, 20979, 20764, 220680, 38079, 4062, 13641,
  102008, 4203, 20143, 28206, 742, 47639, 13458, 8201, 51930, 16197, 22187, 25787, 19494, 75134, 114304, 94871,
  176108, 45555, 116, 160484, 44424, 12397, 146985, 10330, 35123, 239546, 28027, 7835, 13025, 82191, 412132, 7092,
  75685, 170210, 25010, 106234, 11759, 43065, 8341, 715, 74335, 50832, 12326, 62728, 22250, 132367, 15166, 1485,
  181453, 100489, 159053, 49558, 131147, 218225, 72843, 179732, 16984, 57645, 5036, 111986, 132115, 50930, 114625, 1202,
  154311, 67481, 16722, 47767, 11991, 40423, 208598, 57602, 76452, 34425, 3714, 48128, 52609, 81295, 9952, 36845,
  85351, 16065, 20654, 19823, 196, 24873, 26870, 1297, 30969, 9296, 54228, 102469, 9198, 72519, 70039, 108396,
  74919, 85172, 66125, 101377, 2529, 117805, 96810, 24778, 56838, 145070, 22575, 3889, 71779, 55500, 69200, 56256,
  29187, 1545, 88869, 2923, 116304, 4719, 101420, 2691, 3504, 4334, 13196, 24283, 62330, 11167, 46433, 98976,
  41190, 4304, 38379, 134621, 86153, 55398, 18685, 16560, 28393, 104952, 236521, 190161, 254926, 97238, 29381, 35076,
  104228, 132048, 21165, 43831, 105189, 81338, 60610, 75143, 13264, 30942, 42614, 10992, 84359, 171469, 36755, 2955,
  3574, 50858, 7720, 113363, 12415, 1082, 8309, 16640, 8534, 89729, 1994, 39280, 57147, 259158, 159887, 14424,
  10175, 59116, 66944, 434056, 188174, 112776, 24021, 39757, 59504, 17275, 18210, 6474, 60932, 53833, 48968, 4909,
  66318, 8851, 66549, 14450, 16407, 3384, 60036, 132244, 107921, 15561, 173708, 120543, 17638, 31452, 27253, 351,
  99103, 3968, 104995, 54896, 49278, 134414, 51028, 59123, 28403, 11528, 46089, 883, 39786, 58165, 83022, 52349,
  145865, 50737, 25618, 47214, 8462, 6871, 83132, 9635, 3558, 132475, 8680, 97166, 43406, 3898, 139071, 89536,
  142271, 8320, 29089, 83232, 29139, 37374, 11887, 13573, 21989, 22330, 18987, 8277, 36552, 94008, 13402, 19357,
  93955, 192242, 23973, 19276, 72365, 83440, 43343, 20913, 7176, 15598, 107084, 9241, 13556, 46936, 46456, 48864,
  106185, 54904, 62326, 15469, 37957, 3365, 221144, 71002, 321774, 79203, 35192, 114690, 17782, 21700, 10335, 97643,
  129017, 125386, 115842, 123788, 51154, 15859, 74495, 30765, 27938, 35855, 55933, 25082, 24952, 27639, 71742, 23512,
  1935, 32522, 98612, 72854, 39366, 29090, 7051, 75719, 2791, 156786, 23966, 41744, 33489, 127417, 36727, 13017,
  41582, 128016, 125842, 141281, 56078, 108220, 31920, 77429, 24558, 59290, 9558, 18760, 9311, 51229, 19776, 17252,
  5449, 45702, 18396, 21552, 218786, 72761, 87355, 23965, 27808, 90969, 38872, 26050, 190429, 178071, 13825, 15009,
  68013, 27591, 38972, 14110, 36020, 50172, 200538, 281255, 86003, 53465, 47708, 215042, 29735, 28534, 1368, 69656,
  3404, 24318, 47650, 37653, 87348, 40656, 8697, 25748, 119357, 39951, 51347, 22849, 115714, 1560, 13392, 73201,
  2324, 35889, 27677, 41987, 86796, 378138, 63587, 34445, 81973, 5437, 94808, 11707, 40992, 27780, 19572, 62130,
  43376, 35564, 204011, 21987, 93621, 4561, 146551, 233073, 28784, 56146, 1533, 99739, 16808, 78879, 204037, 27916,
  36367, 31905, 55776, 19527, 2517, 49088, 49061, 67853, 2909, 67751, 72529, 12945, 191926, 57369, 47731, 345715,
  24978, 37675, 6961, 26371, 55303, 17783, 45945, 57303, 53308, 102816, 50376, 152609, 205724, 29088, 100615, 14981,
  60068, 20755, 67912, 22984, 3098, 119389, 76407, 31834, 21375, 86387, 71132, 54368, 64784, 154591, 7007, 38915,
  23949, 15688, 86044, 32410, 26579, 72957, 140702, 2534, 63121, 109577, 36571, 7087, 12319, 38027, 139635, 69422,
  80145, 58104, 77565, 134884, 39967, 128121, 122239, 98149, 97861, 77841, 122108, 53941, 6757, 105412, 5433, 45309,
  70143, 41083, 108846, 68195, 67642, 48548, 22786, 15898, 37082, 16924, 108012, 18926, 34698, 130920, 7208, 84736,
  69140, 115981, 3166, 30758, 122883, 16988, 18278, 9920, 46151, 31634, 162250, 22353, 62187, 128316, 15612, 158856,
  80934, 678, 6963, 76542, 429, 111036, 69613, 18534, 19437, 41943, 186274, 23104, 135071, 64054, 152408, 69055,
  137885, 55427, 70719, 41478, 222647, 50820, 94953, 48990, 13331, 245898, 18180, 15149, 154065, 124925, 217145, 82559,
  327, 139288, 191206, 14470, 61778, 6536, 73668, 129358, 74257, 25611, 26141, 105172, 40116, 65034, 30807, 96573,
  37493, 33559, 28049, 4551, 14855, 7513, 48252, 20443, 85079, 69697, 8617, 95869, 237641, 48366, 36858, 128756,
  42342, 3347, 3587, 16403, 102164, 201481, 17664, 68064, 199965, 62177, 224396, 15650, 71204, 12089, 125579, 76206,
  4662, 192158, 115192, 18064, 29368, 28388, 88784, 93189, 5042, 144274, 26733, 112088, 113914, 8714, 3328, 85297,
  122214, 129118, 14482, 6034, 8955, 1500, 17059, 143211, 13149, 46390, 180700, 11460, 102503, 31711, 124947, 75478,
  43173, 42126, 146701, 30953, 5659, 29827, 78342, 38880, 163787, 38389, 57177, 12232, 69003, 35027, 31713, 32846,
  307084, 9190, 1177, 53022, 63392, 36783, 49720, 204857, 171080, 2218, 24668, 46908, 21390, 44902, 5316, 16460,
  81918, 10429, 22493, 40140, 86666, 28478, 19197, 39367, 36622, 197757, 35536, 74, 24126, 27886, 49478, 60977,
  28887, 159663, 25478, 34942, 5736, 100422, 11653, 280716, 28054, 76213, 269086, 56854, 207170, 12900, 26987, 34564,
  163428, 35718, 204153, 14178, 79891, 154374, 93383, 82977, 346467, 2260, 194527, 234413, 95363, 223815, 84524, 24639,
  38980, 45400, 11669, 39361, 111806, 107478, 23180, 284178, 80828, 13760, 60535, 160002, 9200, 111334, 9377, 23027,
  19288, 10467, 219338, 9403, 294896, 38891, 13604, 6964, 114468, 33089, 246026, 89623, 87405, 73198, 53282, 51034,
  111715, 3542, 21564, 14671, 141705, 108308, 240720, 1039, 7015, 84375, 20894, 62644, 72754, 61580, 52142, 32302,
  68463, 27046, 8380, 114459, 48738, 174003, 101876, 70865, 243147, 15573, 1008, 73339, 33397, 75662, 295288, 97483,
  101210, 83260, 287998, 315229, 37051, 33599, 14151, 14676, 98801, 6611, 61888, 45855, 82847, 52987, 104357, 56918,
  20397, 29312, 1971, 1398, 4940, 37732, 8028, 358536, 185559, 183958, 188192, 3892, 18716, 73119, 6906, 4369,
  54718, 83934, 109096, 203506, 83491, 133450, 4849, 4027, 11725, 13003, 142499, 87752, 40803, 56197, 37560, 36968,
  1128, 46164, 119031, 23432, 12128, 100279, 84518, 28176, 23060, 41295, 20799, 1558, 5174, 23677, 97773, 39548,
  7745, 10446, 105114, 10769, 67007, 87718, 236680, 161719, 46701, 32017, 4931, 19125, 1571, 28423, 43674, 64085,
  27807, 77944, 8529, 13223, 180186, 17974, 13548, 140128, 256996, 51253, 43890, 57544, 18975, 7744, 44658, 28313,
  16837, 105, 127130, 126370, 7877, 20389, 133921, 174075, 212758, 64619, 11797, 47857, 250379, 30209, 1917, 86594,
  15440, 21744, 135164, 34325, 87954, 11946, 12540, 311, 57755, 56815, 231078, 40529, 24719, 141657, 31438, 81877,
  124057, 251942, 13765, 33986, 83461, 63216, 7231, 198398, 258, 90044, 88181, 173923, 50864, 61645, 10174, 54553,
  8874, 28481, 1537, 50513, 29038, 39872, 84988, 57246, 71289, 12015, 94709, 4871, 31627, 279590, 81311, 43545,
  15429, 59109, 71443, 10416, 9005, 6896, 26184, 104749, 4061, 38580, 23344, 2875, 113851, 13804, 63848, 29618,
  107716, 136811, 54885, 33689, 82819, 50624, 149592, 114467, 13651, 11306, 73580, 85777, 79656, 166366, 222515, 39565,
  117851, 47704, 43581, 137265, 17539, 25867, 43261, 1034, 111446, 117360, 32008, 3664, 12938, 250542, 16992, 14203,
  39724, 83746, 187150, 20582, 190787, 110150, 10914, 42740, 4352, 122213, 31831, 49606, 15402, 8583, 34572, 18519,
  21070, 72128, 605, 14069, 62708, 68579, 26360, 45158, 8539, 33700, 23921, 174967, 23777, 21086, 47035, 21403,
  73853, 29070, 14402, 55968, 13552, 25123, 132516, 99114, 38810, 83727, 93287, 108584, 86117, 4037, 69026, 148748,
  16285, 151286, 2526, 67336, 56400, 114949, 38156, 64061, 1718, 14168, 68963, 19987, 75342, 72606, 92460, 25819,
  142863, 865, 10759, 102417, 29033, 128297, 176851, 239106, 378, 3476, 126764, 880, 110113, 35294, 142380, 60787,
  180321, 12139, 33148, 3243, 32586, 75807, 8895, 69743, 23606, 76161, 0, 32234, 26393, 15253, 101159, 37444,
  160984, 100458, 106798, 118153, 207987, 94453, 31068, 199369, 23783, 55406, 72063, 196753, 8406, 65985, 6649, 169369,
  16904, 2912, 14378, 60219, 24596, 44552, 22129, 79241, 47274, 46556, 155072, 25, 11693, 93339, 175196, 82189,
  46539, 25983, 55777, 39522, 60524, 133678, 18470, 77553, 78595, 83411, 33676, 121561, 48423, 93395, 74963, 17181,
  31718, 50927, 45519, 1283, 20170, 4973, 55435, 106949, 9009, 50903, 7663, 1685, 146268, 116269, 1759, 101910,
  15183, 77271, 25151, 101108, 191060, 44211, 30237, 101323, 172765, 81369, 7540, 8670, 1349, 2983, 72423, 57110,
  138436, 10840, 116808, 148570, 37365, 13235, 144011, 326438, 10970, 137859, 245169, 166948, 40509, 8825, 6884, 140489,
  225817, 339638, 308668, 14440, 20021, 172262, 20842, 35348, 70394, 77862, 44480, 114795, 152138, 205967, 80249, 66813,
  21541, 21337, 74233, 246096, 66559, 255232, 7873, 74405, 66544, 78592, 41670, 16122, 89352, 272783, 66583, 16290,
  2725, 97449, 74073, 152635, 17258, 14662, 164479, 7400, 91345, 77718, 116341, 23495, 7313, 145703, 66781, 95536,
  3815, 59962, 62075, 48667, 115868, 88403, 11136, 31573, 8660, 48458, 10303, 30913, 40362, 76502, 54728, 210919,
  4071, 10395, 14132, 19281, 103524, 46479, 2475, 9346, 39388, 11097, 7103, 61594, 118275, 49094, 17865, 16935,
  21950, 49474, 38996, 44270, 6549, 83808, 6663, 54784, 38226, 40402, 13514, 51690, 32754, 33017, 146868, 3834,
  209574, 31460, 2290, 5991, 29201, 189025, 95100, 116204, 43495, 37630, 621, 42790, 18028, 147636, 74713, 72101,
  20296, 39620, 52377, 149079, 40597, 71087, 48840, 41861, 18370, 78232, 9624, 43707, 47520, 67447, 30945, 84196,
  202450, 110891, 61689, 177365, 24134, 22168, 57538, 47780, 2219, 96079, 30892, 4049, 8195, 17695, 2313, 196966,
  69545, 7785, 159038, 116984, 38041, 85191, 95576, 35677, 136934, 87868, 8522, 47264, 46374, 90011, 2454, 121060,
  19041, 15646, 218596, 20647, 159811, 5273, 78222, 5790, 84865, 690, 36264, 169096, 58620, 49769, 19870, 56574,
  846, 44944, 30096, 21418, 98749, 62549, 49755, 90559, 13569, 65527, 23045, 35183, 30714, 1120, 129237, 133919,
  97246, 73893, 1242, 5886, 32186, 73097, 9292, 172076, 4479, 48341, 159618, 10702, 27355, 9327, 3896, 145089,
  92973, 127562, 80631, 140609, 35214, 40087, 6621, 60953, 151491, 93233, 133991, 5681, 75963, 13834, 189749, 48238,
  37631, 42943, 70301, 22025, 1561, 101790, 52288, 23519, 27200, 15594, 330, 128333, 238083, 77116, 27436, 14656,
  23182, 176130, 43018, 93766, 60756, 68727, 36117, 110670, 12291, 90265, 17003, 86775, 25766, 50378, 97783, 72630,
  39355, 51597, 76915, 9532, 102333, 333464, 26234, 91954, 87362, 18461, 14063, 123415, 65741, 87119, 13821, 69651,
  59906, 29250, 5334, 111676, 19538, 14466, 71314, 49631, 201575, 100994, 81169, 99402, 48772, 1958, 86381, 84313,
  102938, 3927, 14847, 115137, 24438, 1719, 106468, 14344, 292580, 113808, 25709, 4422, 39964, 14448, 9781, 167464,
  66366, 38612, 21306, 135701, 9004, 3967, 14882, 60987, 61379, 70755, 79621, 230123, 50548, 251137, 45013, 68059,
  37622, 8601, 52714, 131016, 38732, 161564, 5054, 17043, 28379, 100315, 11542, 22026, 68180, 40581, 195387, 5840,
  76622, 286510, 15220, 21299, 17488, 10435, 34592, 77414, 69849, 292262, 92100, 61536, 5963, 40657, 72834, 85029,
  7219, 137580, 32702, 24398, 48143, 18315, 7679, 10221, 43413, 55964, 56264, 22174, 55358, 421, 32944, 33586,
  540, 28638, 297324, 19055, 58691, 13123, 1457, 13545, 29506, 12292, 90917, 28767, 19245, 95156, 15265, 9677,
  52193, 329199, 120474, 31550, 48621, 32454, 173844, 6940, 5518, 104662, 27465, 11002, 13048, 23406, 127455, 219189,
  118625, 966, 55994, 71978, 44755, 44425, 58484, 81947, 191081, 71933, 4128, 149448, 42061, 45036, 34993, 81007,
  89197, 17973, 12644, 20286, 2259, 12086, 128406, 38420, 60665, 7439, 63696, 63513, 66994, 154461, 3204, 269842,
  71210, 72373, 47920, 147744, 51232, 11668, 11964, 5455, 3585, 62466, 87325, 135079, 142096, 6038, 3351, 59851,
  55024, 90797, 96831, 151965, 7892, 59192, 18848, 84506, 8345, 62542, 50046, 26538, 58653, 123823, 70584, 33087,
  463307, 52217, 94498, 162262, 65658, 37813, 1798, 133237, 64319, 20468, 342279, 2483, 137941, 174532, 134882, 13053,
  136323, 101319, 14858, 315661, 53499, 38349, 1883, 36549, 12746, 4783, 17315, 26629, 43492, 1433, 30848, 103477,
  6978, 53491, 254027, 59138, 95163, 23047, 130383, 71358, 29925, 104048, 147110, 20605, 60175, 141493, 1502, 26372,
  5128, 8043, 160154, 205752, 7352, 24589, 41005, 8787, 41463, 180084, 35056, 128767, 184756, 116446, 216131, 52109,
  121146, 31824, 120507, 78611, 20473, 80909, 52814, 53045, 18426, 47765, 19434, 251918, 4598, 37752, 2736, 30186,
  5309, 104505, 61873, 39702, 54580, 60995, 6795, 78461, 14277, 102209, 56595, 76365, 121151, 84271, 40571, 22053,
  10691, 60167, 8833, 12920, 56711, 2593, 16106, 101890, 43880, 47882, 105443, 26296, 63409, 2286, 236404, 3535,
  76682, 31275, 91877, 94825, 11830, 60322, 77261, 14017, 172218, 120226, 23764, 296, 264898, 128743, 243138, 11474,
  32632, 32455, 30389, 37844, 66536, 221177, 32878, 17990, 81062, 25157, 197499, 6108, 31649, 68174, 4883, 39604,
  25788, 24670, 22233, 11063, 92774, 167596, 40860, 103202, 60222, 67201, 150525, 69109, 11100, 21724, 207627, 23699,
  63159, 50235, 17317, 132722, 9432, 137156, 14594, 85114, 224657, 60669, 32727, 134466, 25240, 42617, 6453, 86119,
  53613, 52551, 39633, 95001, 152, 22181, 33930, 6888, 138620, 139630, 14275, 67967, 163829, 44096, 23693, 35554,
  2397, 2230, 20289, 26508, 85345, 44002, 373, 23558, 12501, 6393, 128738, 2065, 37507, 108535, 43648, 37304,
  64932, 28919, 39223, 9316, 38575, 60236, 72946, 52874, 43522, 3500, 42635, 18532, 65789, 350700, 113725, 232391,
  80198, 62151, 18623, 5216, 78796, 80102, 187580, 46871, 35226, 102412, 1673, 53825, 3851, 294484, 119721, 213745,
  108891, 1551, 16270, 77, 73311, 86689, 90501, 11580, 3060, 174403, 54046, 2060, 28391, 42872, 40600, 5734,
  93671, 48215, 33532, 19766, 39663, 848, 33334, 33841, 46142, 2841, 116488, 9276, 30982, 41267, 161026, 52345,
  66041, 22012, 75546, 14211, 37281, 137475, 48692, 71432, 68157, 27935, 25905, 26558, 26553, 91667, 162874, 41931,
  71872, 49342, 134603, 3964, 81142, 58684, 69664, 61624, 211527, 194930, 43281, 38136, 39747, 141202, 109912, 103720,
  118119, 105830, 244717, 53752, 22695, 3660, 15950, 115237, 2859, 29995, 32157, 26681, 11066, 63677, 2677, 27475,
  20232, 20055, 83960, 187268, 168911, 71409, 21339, 67656, 7933, 3860, 3943, 4936, 197005, 39134, 94952, 21684,
  17066, 56970, 61053, 6076, 111071, 9161, 30747, 75947, 44434, 9778, 40744, 3960, 133994, 16681, 158292, 120209,
  120798, 124190, 20560, 28017, 12766, 9520, 51106, 98867, 227798, 634, 8951, 16361, 45756, 34211, 71984, 20818,
  132852, 2771, 8039, 31695, 29917, 46819, 43140, 4911, 36076, 31350, 146547, 12832, 55352, 87682, 102259, 20181,
  65281, 125529, 76789, 74087, 129800, 20270, 210263, 10610, 41958, 199960, 136842, 106466, 18944, 91106, 109596, 45385,
  84678, 1826, 26239, 13942, 18580, 74780, 96474, 109106, 168093, 58817, 77576, 139329, 132621, 264328, 131918, 3004,
  39997, 277046, 10657, 188062, 54092, 9389, 208482, 138342, 27740, 112130, 141428, 159919, 32354, 78912, 10848, 248488,
  3770, 58675, 143326, 309222, 114118, 121341, 21213, 104326, 103242, 247904, 10251, 17363, 43918, 50107, 99756, 9914,
  15899, 1529, 57591, 10958, 18574, 191645, 27047, 33819, 145944, 50973, 10931, 515, 3190, 56895, 26750, 118357,
  123469, 6582, 232402, 185264, 219903, 14816, 104060, 2257, 24169, 2672, 34078, 85037, 100571, 54688, 18794, 11296,
  62403, 48268, 85546, 58594, 16776, 5744, 7336, 60494, 92779, 55136, 31725, 41292, 14535, 43085, 170495, 62016,
  17168, 20160, 13301, 31775, 16475, 23866, 68028, 7708, 14304, 27024, 412982, 50360, 37231, 31172, 8313, 18133,
  1712, 149874, 165108, 53176, 28218, 60812, 11433, 110651, 242754, 239758, 103026, 54413, 61688, 60159, 42554, 63279,
  28980, 26817, 24147, 239906, 1318, 94868, 66949, 9143, 51359, 25429, 40100, 150526, 222657, 6742, 15209, 35877,
  99200, 23325, 5454, 116860, 67989, 20127, 66101, 152710, 31772, 35795, 93237, 22499, 23932, 217156, 63347, 85225,
  35351, 44967, 43097, 63722, 201251, 232588, 42922, 76661, 49041, 51431, 91264, 26250, 27306, 16146, 171707, 8346,
  19128, 15883, 46818, 14147, 40135, 98017, 121209, 5750, 3986, 4803, 194061, 109091, 77333, 135407, 15726, 139517,
  19649, 240604, 296254, 18468, 120683, 261045, 15054, 49607, 151927, 90876, 33988, 94815, 21081, 4338, 3114, 25278,
  7076, 168237, 197598, 5263, 78375, 28858, 96610, 1656, 77501, 139877, 164638, 29453, 101599, 77549, 15067, 106520,
  8011, 191624, 67048, 47927, 89585, 15567, 16358, 40740, 96715, 19262, 3368, 257227, 58179, 82342, 164701, 77237,
  5378, 183488, 891, 51832, 102138, 1421, 126828, 72223, 106793, 152999, 9464, 38181, 26051, 369537, 47723, 127195,
  217276, 19701, 87052, 2899, 4197, 91519, 1222, 71232, 16297, 58674, 236388, 7640, 27014, 38262, 53246, 56437,
  46721, 45960, 154554, 93517, 13322, 57858, 23476, 62092, 22806, 29494, 60980, 59522, 5278, 152497, 10089, 42687,
  29629, 152505, 1415, 65715, 70632, 27834, 5144, 69061, 9647, 106305, 17509, 83636, 71519, 6066, 32864, 49020,
  58818, 62070, 83328, 51524, 40603, 27209, 14130, 13006, 128530, 34289, 191758, 175447, 8903, 6644, 258111, 1630,
  36770, 19694, 13099, 93412, 56900, 8695, 92739, 9361, 31483, 22727, 24402, 12783, 26935, 64112, 50162, 73354,
  43845, 97824, 38035, 43333, 34265, 4521, 118246, 36777, 34920, 27802, 62580, 75613, 87658, 36480, 37311, 41140,
  6114, 54859, 37921, 25174, 84767, 123137, 100067, 76401, 64250, 31608, 5782, 50390, 47318, 8602, 146787, 57571,
  50720, 184949, 26374, 49411, 19264, 59669, 72340, 61, 162514, 37868, 20961, 23322, 33357, 104140, 12370, 75813,
  13117, 173944, 10984, 8143, 6705, 185922, 4223, 25479, 46696, 78515, 10296, 173037, 75032, 3611, 146130, 87547,
  71054, 20284, 76208, 179291, 87004, 88099, 25915, 10612, 42035, 58634, 8935, 45162, 69138, 29960, 4954, 9827,
  11903, 75332, 189060, 145940, 99854, 68852, 2428, 35935, 102328, 55387, 95597, 31446, 19611, 66526, 25614, 75226,
  34525, 91178, 34821, 57507, 69312, 5965, 54613, 73567, 6431, 38968, 305485, 72661, 49842, 46229, 13066, 35961,
  101600, 6117, 6625, 94731, 133178, 5938, 14272, 71096, 108751, 55431, 8310, 74568, 41829, 15997, 69572, 115173,
  89939, 33817, 27169, 164256, 225664, 113979, 208705, 24886, 48916, 4745, 105265, 2285, 99556, 76020, 16691, 17685,
  9195, 67243, 29412, 15704, 130387, 12347, 87154, 6073, 5960, 22667, 45766, 126328, 36857, 50552, 563, 58566,
  116724, 31042, 63335, 55856, 53518, 24055, 44320, 132215, 94002, 7583, 31931, 161536, 39077, 14213, 37853, 130359,
  53996, 47829, 71470, 59662, 6945, 70919, 15101, 29373, 22261, 65721, 32624, 111143, 64291, 96324, 23614, 39737,
  8314, 9557, 132103, 65689, 152785, 54960, 122712, 73272, 57588, 3782, 8427, 101263, 16522, 3063, 1332, 9763,
  9091, 103598, 131811, 79941, 5048, 53350, 22985, 72314, 87671, 137942, 20832, 32726, 35441, 97544, 14838, 32661,
  39509, 25235, 12815, 229677, 1945, 18478, 104804, 53001, 12423, 99415, 90412, 47427, 158923, 19643, 66679, 33927,
  178413, 13851, 2378, 163553, 37549, 4735, 113147, 13151, 14095, 34868, 84260, 49719, 1475, 55719, 70677, 22297,
  73188, 7304, 101811, 35472, 62878, 110472, 31193, 7011, 4819, 44319, 37242, 22235, 24012, 34311, 34630, 8117,
  68534, 47855, 55542, 88606, 42606, 10807, 64311, 44304, 4010, 54889, 48956, 37274, 120809, 12117, 36576, 15154,
  57497, 55581, 76707, 88824, 59564, 29146, 75878, 346295, 101758, 137754, 84121, 153651, 103718, 85489, 61427, 59883,
  32701, 4692, 17006, 92343, 80116, 63122, 3829, 201429, 12345, 10158, 29504, 164968, 95834, 119755, 125824, 142638,
  46918, 23943, 90123, 20494, 21468, 29167, 157195, 24079, 53213, 49163, 19311, 138007, 15665, 149198, 44724, 55347,
  31200, 1573, 21255, 26337, 3867, 100570, 205427, 109262, 5140, 8979, 83224, 17644, 96013, 1279, 32509, 16380,
  250744, 103649, 111338, 4321, 21016, 68917, 10756, 39197, 10069, 10563, 184865, 35905, 13968, 1109, 7847, 19871,
  35449, 21656, 7996, 38626, 180829, 25293, 37599, 10356, 27683, 46005, 32258, 8111, 39704, 15702, 161889, 13627,
  59956, 21006, 29672, 64295, 22893, 319443, 755, 33239, 3115, 11630, 35242, 316161, 26293, 180051, 34293, 25262,
  32785, 45248, 4291, 1345, 75934, 380808, 185068, 5400, 62445, 95085, 113696, 37657, 141162, 2763, 1716, 31145,
  62720, 101394, 197152, 222158, 2018, 103950, 53054, 8291, 83638, 37618, 74005, 127265, 19949, 171632, 21168, 31182,
  114012, 109942, 16057, 103239, 95006, 48470, 141582, 50740, 3330, 57743, 91063, 68640, 99829, 25131, 192726, 1408,
  130935, 113922, 160076, 66999, 309272, 153746, 62089, 54683, 9565, 23036, 233538, 39614, 55874, 51238, 28998, 51475,
  121727, 56411, 33932, 53786, 37017, 49406, 91778, 26837, 23586, 252174, 2540, 47569, 319858, 177485, 2308, 5581,
  40970, 118880, 34878, 1602, 27602, 64100, 36001, 13488, 8625, 28038, 116561, 45356, 112329, 100, 159062, 48033,
  61060, 53312, 14278, 30173, 100088, 27580, 20456, 230013, 118525, 51822, 34883, 100756, 25922, 52426, 18317, 13881,
  16232, 8187, 317935, 69863, 1907, 53514, 75569, 36902, 60671, 5105, 60024, 76920, 51583, 106419, 20458, 110614,
  44553, 36111, 187025, 173919, 80993, 52249, 116521, 11851, 5262, 26289, 48960, 29999, 94679, 33367, 125032, 72126,
  8676, 211498, 44721, 235091, 940, 97176, 26565, 5948, 20736, 10278, 50485, 12407, 11823, 41971, 135546, 103878,
  3020, 21249, 253851, 97728, 16476, 7536, 49750, 6746, 12340, 94756, 71789, 16549, 152600, 40488, 30681, 120494,
  97416, 90981, 75736, 36235, 3703, 36522, 4051, 90148, 25744, 143233, 74114, 50674, 66826, 186399, 55544, 63905,
  16245, 17811, 43885, 57562, 16876, 12660, 11009, 92234, 46446, 722, 137637, 44043, 84798, 27042, 5314, 21312,
  74227, 10917, 92213, 211986, 176020, 52818, 44610, 174541, 45192, 85977, 66236, 78509, 61955, 14788, 256627, 12032,
  75496, 83996, 101534, 82235, 23946, 104883, 3183, 12850, 23626, 57697, 3225, 16042, 40372, 9541, 108356, 126495,
  26036, 101893, 24582, 39880, 6149, 95087, 46546, 59092, 11822, 168583, 82335, 18729, 30582, 146256, 6074, 39807,
  16541, 11986, 80148, 61456, 41914, 80721, 142480, 21004, 82385, 83655, 47670, 4769, 232823, 41862, 437909, 4116,
  40921, 59664, 133104, 38104, 80773, 101843, 38426, 90874, 14930, 55522, 12793, 23708, 3631, 8582, 3112, 415975,
  7517, 106586, 112390, 31555, 39619, 56075, 6299, 30930, 4348, 38188, 23437, 11888, 36180, 29057, 78844, 52556,
  126106, 24776, 65214, 92664, 138939, 39642, 153427, 17494, 62611, 31501, 49371, 27056, 1477, 16503, 156270, 23995,
  113512, 205238, 84709, 77316, 47321, 67623, 42436, 36548, 25052, 10369, 19122, 181758, 14546, 6743, 124696, 124095,
  118881, 58058, 29158, 24211, 29060, 38102, 144694, 42736, 23589, 64142, 131963, 43763, 128322, 42128, 13330, 35824,
  36795, 108915, 43897, 15657, 18401, 58900, 14806, 118110, 137921, 30097, 47026, 4142, 104699, 4185, 87711, 85997,
  267929, 153261, 228359, 20660, 36194, 54339, 43073, 5692, 172791, 8213, 26146, 5686, 18113, 28694, 17786, 77352,
  4766, 1852, 168140, 76409, 188215, 2179, 198971, 53244, 30083, 37124, 32195, 48123, 332586, 62934, 88005, 15880,
  94089, 68377, 87929, 133891, 5805, 11217, 130365, 104237, 77909, 44881, 6260, 14391, 22194, 42271, 49170, 261884,
  68234, 79361, 14141, 107542, 154976, 30425, 14602, 73251, 43220, 47978, 4990, 19457, 40660, 21608, 104477, 3582,
  70001, 38324, 113052, 201756, 184893, 168071, 1921, 43965, 138095, 106316, 100248, 3825, 11128, 115487, 18833, 101956,
  103010, 11802, 30806, 12615, 22663, 5074, 17663, 19426, 5108, 141373, 42930, 183720, 212615, 34077, 17051, 59686,
  8485, 22524, 8691, 78244, 5565, 124298, 80099, 217111, 49222, 20498, 66793, 529503, 54614, 4186, 75927, 40419,
  26530, 57883, 5327, 44876, 42639, 19706, 60003, 74433, 16319, 1599, 26748, 132682, 55062, 6955, 63969, 38461,
  152662, 43166, 12979, 233, 105595, 18768, 75949, 56729, 21114, 135004, 23948, 42101, 22216, 320051, 21698, 23811,
  10294, 826, 29297, 123324, 68158, 26264, 158791, 95573, 10436, 191222, 9993, 12298, 86950, 123108, 20858, 320830,
  7206, 182464, 11757, 81755, 62115, 101508, 64002, 77412, 3977, 47597, 13370, 37935, 3657, 20526, 27967, 53371,
  59874, 220318, 6962, 46594, 456, 88484, 47078, 50207, 118617, 53233, 59503, 10872, 18156, 12054, 11152, 77825,
  106663, 95945, 18093, 1644, 112229, 13310, 264515, 9070, 80992, 55835, 162270, 15035, 17442, 111426, 61158, 71574,
  8217, 10224, 82739, 45979, 55551, 15768, 183976, 64417, 5133, 165269, 38884, 710, 34344, 57175, 27784, 31790,
  251927, 69733, 22676, 125462, 51153, 73708, 53147, 16750, 39364, 77866, 28089, 2461, 201321, 1010, 4858, 82482,
  7816, 123565, 3065, 124019, 66803, 1441, 2105, 147722, 23057, 2238, 2465, 109286, 156724, 37091, 60022, 193667,
  145664, 52352, 15876, 275211, 14276, 101280, 2609, 1583, 95705, 18345, 47036, 168953, 979, 1876, 17511, 99269,
  2796, 7756, 45223, 209272, 6875, 13501, 19972, 3039, 13429, 88164, 40587, 48347, 212525, 23645, 107978, 39326,
  50602, 71127, 74343, 5725, 26276, 95436, 69705, 115587, 28284, 114395, 42685, 63375, 3424, 66319, 70412, 12400,
  19465, 68740, 40524, 83167, 52397, 11466, 284475, 42974, 46963, 1472, 38647, 63800, 31420, 5787, 41395, 21919,
  51399, 116728, 34891, 76404, 206476, 116758, 145291, 39684, 92317, 182072, 3771, 102030, 48851, 66664, 589915, 408336,
  637, 73775, 252578, 42675, 100820, 82225, 43433, 158753, 83349, 100070, 42160, 13599, 10317, 42154, 91152, 132379,
  60227, 237752, 99758, 270587, 21972, 37249, 93833, 30614, 6908, 73035, 2132, 42490, 282439, 134241, 47775, 14940,
  32857, 14647, 284209, 112665, 224767, 50372, 44452, 85605, 95629, 194385, 241460, 28172, 83882, 169721, 7505, 79753,
  42106, 57611, 175719, 33441, 87338, 1110, 81138, 125252, 69757, 29461, 19692, 61492, 29840, 67754, 2077, 4100,
  68709, 14021, 73781, 501, 37665, 25322, 62392, 106943, 45244, 60281, 4687, 224380, 114577, 31964, 38842, 6435,
  49188, 3526, 19117, 97765, 175943, 38531, 30032, 27448, 54009, 25775, 5789, 30779, 186746, 7022, 85999, 42272,
  106158, 428476, 5637, 191524, 70168, 172347, 5932, 69204, 3358, 12019, 9877, 55515, 234002, 64516, 10898, 36793,
  50555, 139948, 27732, 39934, 9221, 14752, 203772, 22375, 129338, 7278, 3245, 117137, 9562, 29787, 9323, 102610,
  20118, 12371, 39558, 8236, 32923, 70519, 19395, 17047, 78479, 97791, 16130, 89463, 118280, 22050, 37024, 89641,
  65752, 52765, 71810, 108442, 4977, 44545, 69952, 19070, 10474, 23484, 18908, 21788, 102174, 82995, 4717, 97497,
  60947, 27112, 3005, 36385, 129006, 15642, 16432, 25512, 10570, 43825, 108125, 73183, 83451, 75116, 95227, 44522,
  8598, 15990, 22094, 1787, 8078, 14629, 33317, 78398, 159367, 125840, 12669, 67807, 123785, 64349, 37447, 22738,
  80438, 10768, 15104, 98321, 16742, 22746, 11237, 41146, 5905, 13127, 47595, 35425, 5281, 12465, 54216, 37342,
  181513, 107706, 142857, 10267, 42402, 87816, 7247, 28472, 6977, 228601, 32966, 2076, 163136, 1044, 31531, 56439,
  93179, 59512, 313709, 36615, 42191, 80611, 121959, 23989, 14968, 38253, 2001, 194381, 50421, 88797, 45161, 11328,
  112401, 85555, 7543, 130762, 105440, 130853, 18911, 12575, 33456, 139214, 29318, 62849, 57347, 85786, 171698, 27142,
  121611, 1138, 80752, 54791, 4221, 77844, 47524, 140582, 94954, 18043, 313972, 120855, 36517, 63651, 18688, 30456,
  24046, 74888, 58460, 70311, 27796, 50699, 84011, 20285, 6255, 200303, 74910, 57724, 33394, 16958, 104867, 22244,
  72990, 7001, 57825, 20114, 135408, 43742, 54632, 30820, 116627, 34162, 194876, 27214, 1233, 2542, 89114, 33428,
  57874, 24432, 73244, 13342, 25654, 36812, 42775, 137065, 95419, 3034, 109640, 69998, 68156, 15470, 40930, 43371,
  401399, 12617, 9352, 26808, 313338, 55155, 36975, 17890, 55208, 52186, 226992, 16324, 45573, 22248, 14465, 65809,
  93124, 76501, 130378, 8533, 119251, 28580, 43089, 52170, 47200, 44870, 76202, 54398, 38196, 30768, 33917, 36165,
  11909, 25697, 353546, 54562, 130667, 372979, 149630, 9125, 45391, 144756, 57973, 19599, 73904, 2645, 258411, 25268,
  64964, 61348, 128044, 132867, 167846, 141414, 52489, 108908, 4137, 41282, 39617, 33797, 115606, 493331, 11554, 30049,
  52036, 71190, 77943, 31602, 62214, 2239, 12602, 19146, 7969, 18428, 131922, 852, 160925, 6259, 23383, 165390,
  7187, 12808, 189017, 142381, 1132, 41841, 18701, 29043, 134835, 99, 15791, 9068, 40309, 98444, 127461, 27332,
  73195, 112064, 5097, 39453, 64494, 72450, 24011, 7695, 80472, 162172, 41084, 177912, 444841, 55640, 51858, 96982,
  61111, 3710, 41637, 100576, 26500, 116386, 75146, 6890, 45323, 42246, 54944, 26323, 40743, 9228, 36712, 134278,
  53625, 8230, 40754, 28377, 52797, 241804, 26552, 261558, 22659, 53109, 11974, 49532, 15631, 300307, 18096, 92,
  29739, 107565, 55632, 22306, 36706, 120177, 123369, 52145, 28841, 81811, 2967, 6374, 39147, 48191, 58003, 205210,
  102836, 34591, 52967, 14473, 26794, 120917, 61270, 53041, 10536, 41117, 108058, 363097, 14845, 27166, 219697, 10564,
  87305, 3185, 20437, 15052, 45874, 8849, 48484, 35021, 12241, 1310, 87883, 136400, 127587, 39626, 11562, 40667,
  83833, 19748, 78478, 3152, 57183, 48701, 22123, 86751, 79722, 116436, 5100, 237306, 30844, 5999, 191075, 65796,
  41304, 91788, 24098, 149740, 84655, 17286, 186934, 44080, 20825, 86063, 13887, 29758, 92500, 168321, 114890, 64965,
  3722, 47787, 198506, 43466, 25655, 5407, 13240, 101325, 27811, 1251, 36859, 37980, 10157, 135970, 13500, 104703,
  81634, 106088, 4011, 23578, 31362, 89054, 38594, 186633, 34088, 336505, 15479, 9229, 92487, 49521, 16527, 53016,
  70123, 18389, 75248, 16479, 22190, 140271, 80094, 10382, 185100, 9051, 71918, 40905, 72658, 25068, 29185, 15832,
  139035, 62499, 80063, 154077, 192523, 94489, 96542, 73906, 88241, 73266, 64690, 151133, 2078, 76322, 24201, 11290,
  230490, 211312, 36153, 103, 44528, 9539, 36954, 4068, 85638, 788, 127939, 83761, 100198, 46098, 285530, 41414,
  22088, 50928, 15371, 56983, 29982, 53638, 112051, 38452, 291233, 156894, 16748, 48674, 241062, 61341, 921, 24898,
  13865, 8071, 235453, 118716, 4445, 177183, 19708, 21189, 137791, 14558, 145674, 60895, 37835, 46685, 36314, 3038,
  107218, 25232, 61381, 204828, 31726, 43310, 143414, 32798, 19718, 11254, 127092, 88407, 38234, 37863, 143492, 19751,
  72528, 6573, 60076, 8937, 23046, 86273, 12926, 43848, 19177, 134938, 18033, 102451, 66695, 155909, 57463, 34776,
  5109, 25338, 58091, 2353, 17251, 3298, 36065, 271, 28077, 50946, 7379, 25203, 5617, 135531, 5335, 33853,
  21554, 1514, 322875, 85207, 47839, 81931, 162589, 73080, 72425, 41666, 2205, 107217, 133825, 13839, 41951, 21025,
  1486, 3869, 68800, 11775, 73065, 13658, 35920, 41391, 181275, 74450, 84216, 8800, 141508, 82895, 22465, 8542,
  21768, 13000, 8240, 5971, 62971, 23798, 245635, 47169, 63082, 25334, 10884, 141547, 2512, 44744, 8650, 42190,
  34200, 155357, 119815, 26059, 9904, 121764, 22752, 11476, 120309, 20694, 128696, 2930, 6392, 69057, 11264, 13880,
  91243, 58841, 35178, 12534, 68416, 70963, 20428, 809, 268253, 4190, 31257, 66625, 41199, 52789, 24931, 112688,
  116757, 6355, 182513, 90872, 138551, 2904, 50394, 19487, 185526, 10604, 30792, 10910, 41246, 165026, 42224, 113107,
  28986, 50164, 19196, 60791, 4093, 348976, 132032, 123165, 19057, 48820, 65522, 51163, 17295, 95175, 4484, 1308,
  4148, 239196, 12160, 143978, 245766, 14112, 90855, 4531, 122360, 139905, 44798, 12441, 35356, 12686, 74598, 10815,
  112075, 44675, 49095, 131228, 20301, 124634, 94533, 9419, 75441, 56741, 243625, 2690, 10998, 35598, 155583, 1231,
  7977, 46730, 242597, 113005, 19769, 157864, 288814, 15932, 62922, 81227, 227889, 46275, 937, 11294, 103072, 3033,
  63547, 8861, 201131, 23991, 100196, 49148, 38402, 10013, 26427, 1584, 47267, 32310, 157820, 36321, 1694, 31226,
  20983, 78184, 30061, 128167, 236696, 33413, 66741, 24836, 22935, 47910, 35635, 2678, 8140, 12435, 14911, 265634,
  90315, 43108, 109685, 72546, 156004, 8866, 37002, 25727, 47204, 51301, 8652, 23492, 140973, 93561, 41906, 95949,
  7726, 23391, 15506, 42212, 45097, 63870, 38047, 35887, 52725, 285299, 46733, 43623, 22636, 21753, 30231, 2194,
  23436, 125735, 107590, 55499, 257282, 66930, 21546, 157729, 105247, 1991, 14483, 140680, 522, 45784, 342095, 166370,
  88389, 122072, 21358, 24129, 216031, 54089, 2437, 107595, 202204, 163607, 26303, 41895, 46812, 40542, 78707, 2821,
  211666, 62835, 14082, 13734, 19693, 1603, 38978, 130765, 68828, 24577, 173255, 173341, 81691, 26679, 29930, 3426,
  45925, 32463, 13450, 24567, 11256, 19340, 65455, 7397, 30292, 9441, 111484, 57305, 372, 668, 19439, 90961,
  5236, 16883, 27753, 170633, 167826, 153144, 144689, 113366, 88328, 50765, 15108, 221902, 232776, 9372, 46450, 174146,
  151611, 40736, 105766, 1040, 5360, 65342, 48072, 55757, 82104, 206605, 5190, 78870, 18841, 118613, 78897, 18174,
  80393, 27669, 110040, 158621, 25465, 12309, 35524, 25100, 18285, 9967, 2817, 4292, 20320, 37594, 50630, 17986,
  72377, 87322, 63433, 19730, 31730, 51337, 57653, 20420, 33160, 147371, 43603, 49870, 45803, 188912, 85055, 11824,
  38715, 173010, 66391, 15353, 27705, 31430, 7938, 120390, 37379, 123726, 25452, 345, 24163, 78121, 86371, 105015,
  18360, 52480, 28116, 10182, 103586, 12625, 43431, 22706, 4015, 110996, 23635, 211386, 32305, 9669, 5607, 79602,
  269494, 361, 52000, 75409, 91252, 16133, 217163, 25649, 20080, 40640, 108653, 52740, 36567, 24900, 6769, 93887,
  54650, 108271, 21897, 49233, 7797, 97128, 54633, 281648, 57073, 36934, 16265, 167589, 12650, 209086, 62181, 5542,
  31164, 122349, 81815, 67651, 42209, 38682, 31383, 122219, 6375, 11705, 72211, 22777, 261663, 21772, 69350, 85211,
  105528, 83301, 31254, 16229, 81661, 5138, 1814, 117287, 106002, 97442, 104335, 3000, 2800, 69084, 40361, 68511,
  5375, 11262, 76099, 146464, 17247, 106291, 8526, 92034, 43151, 22579, 624, 893, 4442, 9159, 34683, 63801,
  15727, 54296, 36030, 7741, 194619, 26966, 57386, 521, 100855, 29101, 4249, 27495, 144898, 122045, 157745, 29287,
  62320, 13800, 162790, 170925, 78465, 1720, 58206, 24580, 39929, 46731, 7089, 342751, 16454, 254942, 25844, 55945,
  1967, 64379, 6774, 82424, 28311, 43620, 50135, 58126, 61363, 144665, 15325, 125247, 17219, 113505, 10215, 205466,
  9395, 52783, 670, 169135, 8745, 37048, 58689, 91650, 121445, 22644, 27467, 23132, 76939, 233859, 30141, 24917,
  80385, 41981, 8292, 35986, 162380, 57998, 43320, 212379, 22009, 3420, 17253, 49172, 54191, 105827, 25802, 3604,
  44248, 112875, 6127, 145960, 16299, 26569, 47356, 14611, 122830, 30067, 21003, 192364, 48151, 121965, 327180, 5291,
  74429, 11440, 101228, 65667, 78291, 16492, 12720, 3052, 64755, 138800, 114706, 157348, 14238, 155607, 17452, 62457,
  44966, 41313, 98226, 78628, 2511, 99734, 74253, 133560, 17712, 1897, 74082, 2056, 67954, 146843, 392522, 79571,
  93583, 59314, 13047, 43084, 829, 117157, 13262, 38703, 105899, 54574, 104172, 22161, 49935, 96314, 98235, 13239,
  84750, 53580, 34154, 114889, 11591, 72967, 66707, 104862, 33185, 16902, 22355, 42766, 85447, 36865, 165090, 84531,
  42717, 343264, 93849, 81105, 27409, 214283, 113392, 12987, 208542, 45776, 2947, 83062, 28965, 25376, 24971, 20612,
  62052, 26121, 83563, 52492, 52525, 3766, 104113, 40486, 5597, 125, 87057, 6525, 25694, 6096, 199883, 183361,
  65594, 40734, 5880, 182733, 16343, 16696, 86236, 796, 63224, 7501, 54031, 26465, 276188, 66868, 2954, 84925,
  12475, 2514, 223628, 75284, 9331, 78770, 22694, 89261, 127507, 56323, 111184, 138073, 38522, 10128, 31041, 55066,
  57287, 41322, 157136, 126272, 24128, 75696, 37221, 12395, 133161, 60386, 24760, 6499, 79723, 24499, 76440, 34317,
  105548, 60338, 146011, 210310, 133695, 189639, 390311, 10417, 48917, 77547, 25558, 125695, 27558, 50249, 50758, 54053,
  43278, 12651, 41946, 33000, 46520, 10764, 46950, 144684, 13778, 1185, 25117, 155135, 141954, 96252, 124109, 34349,
  110785, 24351, 73685, 9493, 83366, 25352, 100253, 91513, 17715, 18369, 120888, 58948, 46317, 59607, 74045, 40939,
  105763, 18522, 3886, 43064, 66298, 18918, 33778, 108305, 147013, 68203, 169050, 212793, 41086, 17383, 9620, 80428,
  94180, 46324, 90898, 384293, 16478, 2162, 57856, 4565, 220447, 72458, 27818, 12844, 44611, 11585, 8997, 5614,
  730, 93897, 76702, 124308, 19722, 10289, 81775, 44327, 78975, 156207, 11289, 31827, 117889, 212382, 163177, 125496,
  125643, 46366, 29130, 40665, 26254, 99947, 10510, 84091, 16574, 120313, 104829, 138305, 18480, 16829, 8176, 17121,
  65006, 22646, 16279, 64878, 15806, 31922, 5544, 11868, 38549, 32569, 219914, 15814, 246418, 24003, 289255, 313945,
  46052, 157270, 10005, 11234, 36056, 153288, 35135, 63031, 8440, 1275, 43404, 298391, 34984, 44385, 45317, 14880,
  30170, 5875, 12546, 45344, 3163, 4914, 1779, 66305, 59800, 72227, 6487, 36265, 4458, 73948, 78254, 47797,
  115442, 39130, 71796, 11449, 4283, 30975, 181777, 25982, 41970, 19821, 110322, 41466, 33507, 69754, 31950, 489525,
  104078, 4158, 69239, 85214, 1653, 56217, 34223, 9944, 22, 35473, 131427, 25058, 121158, 166086, 254762, 9745,
  276486, 4120, 33379, 30250, 3655, 10419, 70458, 24518, 6338, 80002, 3419, 4757, 24048, 2139, 938, 210466,
  133421, 8823, 35575, 1574, 23641, 94423, 17694, 113822, 2161, 40833, 49449, 5625, 24422, 131600, 516, 97149,
  36006, 24910, 111249, 104788, 8086, 63142, 17790, 49461, 10675, 30015, 25712, 12492, 181474, 43374, 19331, 39246,
  12307, 170327, 251360, 85956, 29514, 4826, 115208, 41680, 59143, 108007, 189711, 48650, 14729, 28727, 61638, 233522,
  52509, 9807, 83278, 43091, 87128, 205247, 225046, 135671, 122470, 46278, 118683, 70557, 19446, 17394, 5920, 32166,
  80852, 8067, 86203, 410557, 33314, 48904, 140515, 16642, 24573, 28653, 11481, 199433, 119864, 5958, 55298, 63357,
  14237, 29162, 73299, 12246, 9652, 101149, 98618, 9611, 57779, 9592, 43988, 1014, 6612, 44197, 23629, 95201,
  51851, 69205, 94416, 985, 15284, 36462, 143673, 5555, 98871, 71794, 26730, 9761, 90581, 198325, 133604, 57541,
  124466, 1970, 23017, 51130, 156831, 80242, 24852, 47760, 21190, 76629, 13862, 175502, 22015, 38086, 18855, 52006,
  71380, 1872, 6332, 88866, 161906, 10811, 92768, 111004, 87247, 58129, 1244, 4815, 69201, 134735, 125070, 78458,
  18392, 146150, 4886, 66816, 17908, 31646, 6778, 69889, 108470, 70270, 87563, 7366, 72962, 13622, 24210, 28614,
  40719, 40963, 61900, 8988, 14338, 191234, 63447, 35774, 17911, 12734, 257831, 101714, 95260, 78005, 17582, 88301,
  43339, 8921, 3918, 82471, 20610, 84864, 253574, 21526, 78916, 58506, 1435, 433170, 20710, 147863, 28259, 4548,
  72451, 2742, 1878, 156795, 11315, 75234, 32104, 46510, 31448, 15513, 60382, 37929, 17263, 142357, 16994, 34753,
  58853, 23100, 69236, 5182, 178878, 2545, 32116, 152276, 48111, 71595, 81171, 93964, 116002, 57412, 4245, 19877,
  45497, 156962, 37019, 27777, 80506, 87318, 64770, 13895, 82605, 511, 8366, 87800, 85880, 42605, 80454, 41603,
  36300, 27404, 35498, 82743, 121755, 128166, 1871, 81847, 25215, 5995, 60337, 177660, 36118, 54831, 138197, 126290,
  301929, 182977, 7852, 68390, 88728, 111588, 58683, 115820, 405223, 74730, 36671, 37592, 276136, 25471, 6538, 61648,
  553, 89532, 101905, 27590, 34704, 25370, 42539, 28362, 212438, 98439, 26905, 4804, 49970, 60393, 7138, 33248,
  78329, 11555, 51340, 1796, 922, 17391, 17952, 3534, 20711, 34703, 17977, 21148, 25036, 13075, 6201, 46397,
  257130, 73731, 213188, 107033, 38295, 56744, 112539, 122324, 145369, 82762, 25343, 6279, 18128, 140444, 35989, 4474,
  15385, 14399, 63732, 21041, 30829, 98387, 31090, 23985, 55656, 40284, 132675, 4230, 48345, 64072, 15739, 73537,
  8012, 23754, 107906, 9060, 3561, 183232, 19339, 47011, 28004, 85175, 46305, 37773, 122041, 123221, 100918, 79448,
  192900, 143005, 63829, 123166, 58338, 37779, 33298, 109415, 112508, 115553, 68473, 184384, 41085, 82184, 61692, 70292,
  29976, 115765, 134590, 89398, 87040, 39038, 8330, 21348, 47117, 350, 39878, 167810, 23905, 28058, 42971, 15124,
  4336, 12612, 11230, 18966, 92061, 59408, 12185, 128370, 138880, 27612, 27335, 49677, 97407, 61794, 36678, 60848,
  42083, 7518, 89496, 57735, 172121, 74451, 85960, 144252, 6256, 110791, 28888, 21551, 25192, 5388, 80308, 1657,
  172671, 42290, 48, 195157, 5, 36476, 3307, 89171, 93568, 157177, 7894, 66766, 1420, 14058, 167637, 30649,
  12677, 121794, 69021, 13231, 31605, 230408, 111760, 67720, 56743, 31038, 52660, 61746, 40620, 81659, 12864, 14180,
  6015, 215868, 90084, 141993, 78415, 116175, 52441, 7100, 231077, 112914, 39586, 51204, 31298, 52736, 64704, 3584,
  80026, 74802, 13972, 215480, 13902, 93110, 20076, 42335, 19048, 41860, 36983, 169990, 24924, 34272, 70434, 20851,
  170586, 12670, 115383, 39041, 32955, 71225, 30362, 30667, 176119, 19860, 10392, 48818, 87859, 7042, 111918, 36751,
  36731, 38144, 156426, 19519, 6773, 997, 29515, 53787, 27711, 72672, 159500, 51584, 24658, 40226, 1920, 70951,
  26475, 36713, 58252, 424939, 115216, 30508, 35252, 34310, 133207, 17198, 8490, 5530, 93250, 121485, 122775, 66308,
  95820, 59227, 108938, 53397, 88522, 6280, 46904, 14869, 8317, 25024, 14413, 98196, 5714, 54882, 8596, 43570,
  124047, 5657, 302052, 35, 55219, 105769, 57203, 241055, 86860, 6086, 121752, 2426, 19677, 79643, 9137, 36087,
  23961, 35741, 73879, 95404, 22928, 151374, 193172, 7078, 162209, 225418, 143148, 102355, 8904, 2279, 71928, 20953,
  225992, 15275, 49711, 9805, 359835, 337011, 5747, 97478, 56084, 49629, 13712, 164652, 96201, 13261, 69730, 256157,
  29392, 154079, 57395, 17417, 96558, 76159, 89103, 154068, 86071, 1481, 55845, 81677, 93643, 5966, 26830, 128209,
  55114, 215629, 46997, 96220, 13347, 6748, 42089, 26362, 8183, 87721, 60802, 344, 95129, 74756, 31533, 58592,
  82012, 86256, 21385, 21021, 2017, 92952, 1400, 17103, 123336, 48961, 24557, 31513, 34219, 94330, 102993, 33899,
  115554, 104210, 45821, 24373, 157159, 41476, 17357, 64836, 47747, 20243, 42746, 100702, 101684, 123185, 46219, 68593,
  41008, 135956, 132526, 17386, 18735, 62966, 27255, 23471, 193781, 89150, 2616, 57853, 104151, 97883, 5292, 181287,
  226906, 114560, 56557, 82841, 7552, 61282, 26131, 1854, 179874, 74127, 60152, 17376, 124113, 21668, 38821, 14260,
  31159, 29704, 82096, 204953, 21162, 64569, 11540, 37899, 44010, 79498, 50023, 39667, 14771, 235800, 15254, 382134,
  51268, 23240, 7289, 52385, 166128, 26710, 362, 239, 31382, 28658, 33227, 60344, 73124, 109004, 15966, 14103,
  77438, 65958, 13394, 9762, 92830, 27896, 85690, 1773, 205709, 14225, 11061, 49451, 12113, 15690, 22771, 34399,
  1292, 19355, 16900, 29634, 38937, 103120, 45588, 32502, 13114, 67382, 21201, 255605, 1334, 78137, 14683, 11960,
  2118, 39992, 111625, 158751, 15597, 47752, 3544, 123201, 69581, 8045, 25346, 232034, 14449, 70422, 61526, 29243,
  21934, 152079, 39735, 29007, 76618, 18195, 153, 27890, 48728, 123899, 68311, 48831, 67038, 51326, 21747, 8692,
  14967, 4922, 69709, 15204, 51495, 12889, 28173, 172579, 24243, 12645, 53481, 33706, 87736, 191077, 102314, 17799,
  147249, 101629, 161049, 4798, 26720, 45298, 89381, 76472, 11119, 5522, 59583, 86712, 46063, 85661, 57137, 135132,
  43749, 6257, 4316, 44510, 5843, 232177, 211804, 97913, 44147, 11778, 5876, 129172, 152629, 43931, 5404, 124003,
  133428, 97102, 297704, 57882, 65703, 24717, 67411, 23646, 14269, 13007, 172728, 4591, 45604, 57195, 12344, 102301,
  57982, 61997, 95626, 254590, 28672, 129544, 121196, 14934, 55616, 30754, 102467, 25644, 45957, 41766, 105011, 59359,
  8438, 80296, 37663, 282854, 95433, 8167, 10263, 65749, 37698, 56099, 237283, 25218, 220862, 42641, 90021, 45007,
  132034, 144203, 26155, 333670, 39456, 63723, 27049, 39050, 61870, 153573, 33337, 28349, 4161, 99154, 19089, 5689,
  26501, 109719, 53252, 38261, 73560, 103696, 77848, 61508, 56418, 8146, 14836, 30856, 9845, 7946, 131232, 127176,
  4654, 201895, 63780, 158964, 20916, 91453, 54086, 43072, 10456, 54618, 169463, 46325, 88920, 26447, 165915, 26064,
  119358, 76658, 11753, 55625, 9015, 143112, 11520, 269278, 65931, 121236, 179251, 9829, 96507, 5826, 140198, 247937,
  48029, 31061, 53953, 19018, 38534, 95073, 117331, 37745, 21676, 22041, 2439, 21017, 109081, 12120, 58943, 64119,
  43078, 113509, 30640, 37723, 34943, 350151, 79862, 143849, 25089, 16375, 77573, 16298, 6131, 168435, 40662, 50028,
  28766, 133195, 55258, 45544, 23665, 5135, 54199, 18072, 5477, 69501, 106176, 37245, 10255, 33562, 9039, 7013,
  16695, 29965, 30540, 106269, 67, 100273, 20386, 1936, 45778, 12653, 4617, 22300, 42443, 22525, 113152, 24837,
  42770, 66959, 15725, 52734, 29534, 17022, 9388, 334890, 23733, 206600, 71568, 50746, 100513, 18013, 100834, 84319,
  62617, 6595, 63101, 185162, 42630, 76641, 44106, 8165, 48746, 35407, 72152, 6974, 14191, 19580, 30414, 39009,
  43753, 63797, 66647, 169610, 50295, 55790, 16670, 533, 26007, 9475, 35597, 110160, 8792, 8536, 3652, 9896,
  57243, 120506, 37648, 15821, 43119, 131495, 35035, 35955, 54725, 31031, 169396, 210089, 164253, 337858, 11412, 77625,
  58250, 28866, 7134, 37720, 112304, 27676, 81211, 65246, 131796, 9378, 94506, 130705, 25165, 11403, 69938, 129091,
  4651, 244698, 53305, 17335, 3188, 92793, 26039, 26725, 24831, 59363, 5282, 15758, 47748, 53877, 45181, 5916,
  3705, 107447, 7016, 107200, 19540, 12998, 120359, 9387, 13211, 7466, 190758, 9392, 102095, 49540, 128418, 188973,
  5593, 50901, 14566, 196318, 18699, 54825, 76278, 15395, 23666, 36000, 88985, 17589, 32005, 23087, 139968, 578970,
  117571, 145460, 7486, 3620, 33541, 117754, 26398, 27210, 60584, 18889, 20981, 1633, 74573, 38616, 14563, 6638,
  86311, 86421, 25557, 42564, 99443, 36130, 97953, 1966, 25172, 83868, 86024, 136991, 27222, 67124, 48935, 48573,
  168938, 36866, 83414, 114109, 7143, 95340, 16828, 116402, 11853, 106392, 138070, 12698, 53560, 1736, 35550, 51146,
  18834, 22574, 37375, 59652, 19960, 32431, 133520, 38384, 86522, 43137, 73914, 52482, 28217, 63002, 68351, 25347,
  53266, 74606, 37238, 64254, 117700, 2458, 69113, 78847, 72989, 4146, 51993, 68944, 34323, 36106, 26991, 208463,
  18721, 68637, 46037, 28177, 66450, 253789, 306984, 98512, 34346, 8717, 62376, 80238, 74056, 18246, 43446, 108106,
  47217, 76264, 2682, 95684, 202002, 20293, 22279, 7215, 46269, 5998, 50165, 12049, 9429, 33348, 73125, 27380,
  68582, 110884, 139796, 3350, 75458, 44810, 10607, 55791, 37823, 11401, 91589, 124148, 82843, 54499, 20716, 21192,
  96652, 231365, 33208, 41522, 32549, 31981, 17453, 40828, 145144, 39135, 25049, 9457, 27958, 103347, 32810, 43385,
  19820, 53369, 126180, 23951, 158086, 100187, 144947, 109980, 31955, 45450, 139714, 69089, 201406, 73593, 53985, 61675,
  135379, 20004, 20095, 20957, 31207, 58416, 82105, 5163, 192545, 15375, 4004, 14708, 12950, 3007, 33958, 201104,
  51704, 2284, 38239, 215421, 9094, 170678, 68181, 18112, 248263, 264771, 5839, 65767, 76147, 15661, 13266, 123439,
  64028, 57174, 54342, 51589, 110009, 117919, 35421, 20125, 79407, 23467, 26562, 86760, 89345, 56253, 2635, 17366,
  99284, 45433, 65377, 5392, 223492, 45675, 94215, 41399, 47966, 42373, 88171, 10577, 26848, 109297, 198937, 27318,
  15359, 54014, 189688, 14526, 201137, 11181, 412, 4944, 2861, 25417, 41460, 9506, 110507, 60409, 42693, 128247,
  71231, 35793, 106673, 70206, 72297, 6817, 45319, 20585, 31851, 34828, 8363, 13868, 118777, 52262, 102674, 38674,
  71039, 6463, 77753, 62309, 151051, 2673, 41364, 138637, 240855, 165918, 128697, 37821, 16333, 64502, 32568, 39824,
  50766, 20504, 14159, 65654, 14727, 29996, 6383, 42332, 7939, 14308, 8137, 87581, 4149, 88311, 165279, 7060,
  80908, 49103, 28053, 140076, 418780, 65632, 172843, 34187, 88378, 29997, 545, 51172, 59276, 68688, 2146, 123301,
  1327, 93829, 16449, 152910, 7284, 87749, 23351, 3595, 38576, 26223, 23401, 96146, 79814, 32323, 172636, 114120,
  65820, 86539, 208708, 76711, 42199, 188268, 14011, 15148, 84860, 5832, 11441, 25143, 49574, 6953, 65399, 115759,
  62596, 134341, 14187, 18034, 12396, 16855, 108734, 25950, 70598, 14918, 2364, 136070, 40117, 153617, 71320, 115693,
  8648, 35391, 90995, 4541, 7994, 124212, 8041, 66856, 16836, 11191, 127474, 68712, 7630, 145631, 110314, 22066,
  14047, 1763, 167187, 174630, 359699, 151667, 4177, 41323, 106878, 1793, 50733, 69877, 525, 43923, 4828, 82891,
  29037, 171929, 324595, 65899, 28064, 91271, 65021, 37989, 13380, 31251, 2943, 407325, 11675, 18588, 38513, 8392,
  50669, 90077, 18495, 9450, 74216, 88387, 45547, 81293, 103539, 10795, 31036, 15610, 180314, 21332, 14365, 65897,
  27449, 55756, 149067, 98485, 56299, 40269, 32366, 5250, 172344, 23410, 92231, 18561, 19274, 44347, 122063, 8423,
  7301, 50878, 28326, 38202, 246099, 51058, 26017, 51056, 32043, 22795, 132375, 6943, 19422, 300889, 9098, 15040,
  36506, 86225, 57465, 49440, 129317, 12410, 39803, 48164, 6806, 32451, 82234, 132656, 30140, 15444, 60069, 3760,
  4614, 25897, 159, 28083, 46639, 99936, 101909, 30904, 66926, 173983, 34220, 17421, 932, 21450, 21043, 113018,
  86600, 42052, 132088, 128256, 6322, 29, 124274, 99295, 27847, 33188, 30130, 20462, 233103, 11629, 82802, 23282,
  10541, 47224, 44501, 68401, 39025, 9673, 4555, 49397, 34887, 30110, 111225, 33589, 3517, 74773, 153162, 143852,
  12972, 3530, 24385, 31076, 26220, 32573, 109457, 43144, 2031, 300519, 129953, 9238, 66561, 196911, 99752, 28368,
  115015, 174339, 10996, 8970, 48658, 26284, 10285, 694, 47596, 445399, 13275, 71937, 12714, 3528, 3654, 55811,
  33845, 269037, 118340, 11397, 3893, 231593, 42203, 2159, 16165, 12556, 48781, 72601, 35237, 68887, 18601, 17941,
  89983, 98696, 97413, 15006, 14769, 128317, 13607, 7426, 11962, 244737, 72660, 28493, 147224, 62322, 6982, 534,
  47018, 29199, 6388, 175620, 29977, 6018, 54235, 144119, 27979, 74453, 23072, 144966, 5552, 22680, 20439, 8839,
  82338, 13010, 108618, 484, 86023, 58829, 612076, 306318, 131368, 51558, 106387, 22146, 1218, 11904, 270917, 87286,
  24853, 275508, 76852, 5463, 237840, 82183, 83602, 44537, 132193, 104954, 15511, 29147, 15455, 20088, 13624, 153696,
  40873, 90309, 158996, 18756, 3668, 32089, 12462, 41486, 65351, 2207, 126590, 223126, 53388, 4077, 30070, 25994,
  15229, 66181, 63714, 79318, 59889, 160619, 15153, 12456, 272245, 42542, 24758, 47453, 47934, 65558, 28145, 13413,
  11858, 21191, 27021, 92095, 34347, 32570, 60556, 197324, 18038, 189522, 6812, 28247, 90853, 8634, 180039, 7329,
  86981, 148519, 9289, 4888, 300602, 74523, 9708, 49271, 19343, 63426, 74637, 174896, 114181, 28008, 26788, 8747,
  29362, 99695, 52578, 19976, 84921, 101587, 24035, 38033, 6095, 92547, 36135, 72547, 106059, 4207, 181943, 47905,
  79472, 24101, 58847, 20037, 38015, 46536, 22348, 109208, 1206, 45622, 37915, 26165, 48741, 7232, 1005, 4065,
  6208, 18528, 151721, 62784, 80000, 18897, 5854, 32564, 21916, 4912, 34596, 201975, 17423, 134488, 54506, 154143,
  6002, 72868, 7520, 36987, 108083, 112937, 75656, 32044, 24479, 15432, 40091, 58495, 34931, 9602, 16762, 2442,
  56661, 153348, 22812, 98811, 9511, 56184, 1409, 9718, 26995, 197, 49218, 167694, 100694, 44775, 53809, 6725,
  163853, 45609, 73, 98613, 35997, 111306, 20357, 36132, 81254, 14735, 26511, 23223, 58321, 51715, 70878, 210120,
  18919, 64042, 68936, 3280, 171890, 120028, 29382, 125765, 86877, 48327, 105142, 9969, 91341, 1198, 32748, 184452,
  74503, 188311, 34295, 291694, 70477, 184873, 41972, 33654, 53412, 208288, 120160, 47130, 7027, 83694, 30556, 99012,
  59281, 43841, 119720, 74947, 39892, 41874, 34808, 25853, 131302, 33590, 193671, 96415, 5864, 20797, 100412, 35136,
  15947, 13143, 28210, 28717, 61301, 5772, 22132, 12722, 67466, 83494, 128102, 176810, 162369, 37658, 11958, 19685,
  47956, 184482, 37093, 126586, 27874, 17054, 70824, 29354, 35624, 31284, 22117, 80846, 282324, 89289, 5812, 73290,
  21270, 10973, 15681, 37548, 111847, 5570, 82, 33861, 102548, 16344, 48551, 72401, 41482, 3442, 126293, 65750,
  30955, 205735, 76092, 105960, 116737, 54740, 25948, 8274, 28264, 111716, 110866, 252362, 8592, 112975, 10016, 89336,
  55458, 589, 60295, 9209, 22301, 101479, 32825, 64171, 75090, 106896, 21619, 26306, 29821, 30637, 132744, 10929,
  30697, 32956, 20307, 87608, 51709, 317395, 23678, 60949, 3041, 29345, 83581, 57276, 19208, 37802, 184528, 147377,
  8038, 29282, 6679, 77158, 24634, 288107, 38217, 32048, 30467, 20308, 11907, 18988, 87509, 32192, 89058, 11561,
  126428, 56272, 20368, 65338, 19389, 104074, 29008, 8049, 18814, 30607, 339, 30562, 152686, 25435, 16446, 78067,
  20701, 122568, 3475, 39655, 83474, 29081, 12004, 116638, 45832, 69977, 107214, 46129, 80891, 11087, 68939, 167121,
  105808, 42070, 117480, 33702, 11378, 25602, 124846, 110381, 153223, 6672, 47709, 80371, 120770, 144580, 11225, 22744,
  98186, 104427, 63765, 10261, 150633, 71276, 51714, 50281, 49838, 190522, 8987, 235791, 9141, 340331, 86198, 17567,
  12755, 210134, 6552, 101752, 30962, 11267, 2982, 8706, 5260, 70113, 110165, 127201, 74490, 93235, 145772, 35288,
  21256, 25014, 2694, 10842, 31678, 81199, 6436, 125138, 65062, 15308, 22318, 40788, 33326, 9604, 145295, 6946,
  289838, 90308, 57283, 326774, 187831, 2998, 288064, 53373, 20595, 188251, 90664, 58927, 89768, 31693, 379534, 13903,
  2805, 2413, 50298, 47087, 58535, 56981, 59799, 135588, 10844, 74455, 88188, 208971, 70085, 92510, 18541, 33920,
  12090, 24555, 11134, 23200, 2451, 6275, 135010, 5521, 138068, 6562, 161302, 44283, 98544, 214408, 65576, 50058,
  24461, 33687, 92862, 93762, 4511, 119896, 3685, 41519, 6754, 9529, 39394, 26959, 41684, 51727, 24271, 311732,
  28203, 45748, 149989, 111355, 3383, 25313, 20209, 43668, 65355, 32723, 38554, 67434, 82833, 42676, 66416, 25724,
  30161, 223, 65165, 45436, 83924, 12283, 5232, 29830, 234361, 377903, 56, 40022, 128424, 12472, 60521, 234629,
  28921, 22232, 168965, 36999, 222594, 73040, 24600, 9682, 33975, 51080, 29219, 59847, 125491, 30202, 38650, 136512,
  34069, 20533, 23257, 105963, 11508, 99917, 34237, 4124, 67464, 43359, 26791, 158522, 144226, 38792, 18892, 13958,
  41850, 71554, 19647, 61226, 98703, 124759, 9034, 30539, 34371, 467683, 65227, 93480, 7901, 29703, 82581, 17619,
  21254, 2734, 102235, 57361, 38398, 17196, 96566, 364971, 65651, 28491, 137653, 151200, 23549, 142281, 78664, 84647,
  53883, 34900, 46611, 40124, 213340, 36091, 30841, 52023, 123269, 197827, 78380, 73808, 12028, 41191, 45370, 7903,
  71764, 90561, 215513, 34771, 177701, 60585, 32517, 25415, 28758, 92364, 41752, 82386, 2623, 76984, 37173, 50064,
  68395, 4403, 43681, 98106, 11549, 37791, 53245, 104084, 15232, 60303, 28511, 10160, 68603, 161243, 108330, 25902,
  9660, 75510, 24031, 320844, 63116, 2614, 187946, 158900, 36079, 32819, 38425, 121867, 57093, 51652, 80423, 5684,
  31198, 161752, 36511, 146667, 20475, 4507, 19201, 30548, 48467, 78275, 5077, 22549, 89984, 50714, 17018, 66706,
  35619, 3531, 25020, 48835, 186847, 9463, 64248, 111387, 107469, 188636, 105137, 8703, 31389, 34009, 25409, 14207,
  43631, 12180, 14360, 89167, 73867, 33692, 74998, 119507, 41949, 87046, 115959, 6770, 68841, 6405, 81460, 142743,
  114250, 5132, 148038, 8544, 1605, 15540, 177509, 152453, 30564, 1453, 29815, 32099, 63403, 6534, 252, 11418,
  17588, 16946, 116226, 138792, 27680, 101291, 14339, 60744, 99533, 194699, 39891, 16377, 12641, 146345, 141037, 140957,
  70325, 42826, 21176, 19061, 50428, 51375, 12005, 144174, 73426, 76160, 46461, 129205, 78379, 40145, 25474, 133179,
  11855, 127230, 80781, 27661, 91651, 396, 88286, 34420, 72081, 94521, 46013, 15403, 91720, 88126, 549, 79964,
  60198, 187793, 125452, 14392, 15743, 83700, 1715, 206475, 12065, 22805, 39201, 63593, 83398, 13801, 99478, 25699,
  140046, 83985, 258911, 49800, 6761, 9435, 74133, 1389, 46598, 11934, 27897, 5386, 45900, 50232, 260248, 96335,
  5068, 33530, 49692, 65315, 886, 4019, 40151, 91916, 62448, 10628, 13597, 141884, 148968, 14083, 261394, 163080,
  37347, 1276, 8705, 22521, 19405, 57813, 55957, 200637, 9680, 15938, 42198, 23570, 15819, 166772, 12555, 37690,
  43496, 26735, 63396, 52654, 63370, 37031, 83006, 34067, 75667, 18077, 2332, 127143, 163700, 1741, 5704, 42945,
  37639, 34898, 146321, 65846, 3633, 51526, 134217, 9232, 22774, 1772, 66282, 48233, 34341, 21424, 13242, 67351,
  183131, 97579, 28584, 80530, 134335, 38834, 239665, 40278, 37200, 32081, 53185, 40538, 23915, 99449, 228969, 44407,
  7054, 17139, 112714, 101287, 14194, 810, 50801, 33269, 12970, 136397, 73876, 55691, 26438, 37462, 53441, 99617,
  13350, 42910, 71168, 42168, 285521, 78217, 93695, 78702, 25594, 30022, 14876, 15315, 8219, 34298, 97268, 51265,
  104410, 54835, 26232, 30943, 91039, 14205, 64948, 29544, 168804, 48486, 75782, 69559, 138480, 99517, 39422, 37873,
  149734, 38422, 8276, 41956, 15907, 166205, 43978, 154555, 33818, 28840, 72911, 38423, 61132, 39592, 4460, 37088,
  60082, 68918, 21965, 92108, 4622, 33094, 35917, 111849, 110187, 72295, 8713, 89755, 56736, 89742, 45364, 6790,
  13551, 41957, 48065, 8188, 73571, 62739, 53050, 144415, 3945, 24426, 98109, 2450, 73463, 37147, 78116, 9166,
  65498, 53281, 120479, 179965, 17758, 17052, 32430, 155198, 263266, 84633, 148996, 48061, 17593, 38254, 12219, 51478,
  2710, 95095, 20869, 29664, 27585, 13750, 47237, 181, 54469, 7569, 60566, 139036, 38200, 24063, 28235, 13774,
  45367, 230307, 83783, 80750, 63754, 95816, 43190, 122385, 28881, 144847, 15520, 94088, 3473, 3890, 113331, 76118,
  12791, 80924, 118713, 104097, 98287, 136037, 67781, 10689, 31895, 90630, 43079, 93377, 65787, 61758, 1438, 103534,
  4463, 1696, 4512, 120430, 94536, 3019, 34145, 75690, 24951, 53596, 58640, 11685, 36332, 6632, 11422, 26659,
  59901, 43634, 130651, 33557, 28803, 3908, 133680, 9899, 52130, 43287, 6912, 145132, 86403, 177137, 54381, 65649,
  7668, 54154, 97545, 91326, 181822, 89508, 11188, 2346, 74831, 83183, 79610, 47140, 18977, 54325, 82292, 130974,
  9850, 25539, 71074, 133045, 177206, 71768, 81956, 28358, 145485, 83131, 29163, 37533, 109798, 18435, 75184, 52995,
  7292, 6596, 2251, 2040, 31421, 19770, 177982, 2607, 26280, 108782, 69065, 324604, 77211, 91802, 37849, 30896,
  58511, 49307, 70, 135829, 12507, 6486, 51031, 9444, 127004, 180981, 46202, 95370, 11113, 65980, 7248, 1864,
  147, 52898, 183217, 22572, 8729, 6517, 4166, 36847, 56208, 124700, 29553, 6200, 43066, 1797, 193216, 150871,
  79926, 125256, 38154, 42479, 129937, 102831, 33444, 18931, 31345, 35792, 147516, 19534, 83947, 136739, 76241, 217709,
  39915, 177, 29612, 176661, 46146, 21703, 66186, 15852, 98763, 32284, 15029, 20993, 42566, 64132, 96065, 164496,
  1337, 178401, 214897, 22155, 13192, 119711, 143143, 16098, 18323, 17920, 25851, 94549, 105163, 90198, 141550, 124816,
  80570, 619, 144085, 9847, 117753, 16770, 4661, 55732, 16555, 15568, 31762, 116903, 72883, 28446, 93397, 75397,
  11077, 69803, 1471, 136227, 159438, 102246, 162403, 73442, 40764, 27766, 18455, 53335, 70933, 12129, 19140, 50321,
  83329, 51649, 28681, 50106, 26066, 38874, 69436, 77741, 12276, 9285, 17504, 16474, 72059, 83880, 8401, 45101,
  21655, 38252, 34797, 40053, 173836, 50540, 136368, 21585, 126713, 108126, 142751, 130247, 69454, 55138, 130179, 11656,
  153482, 162984, 158538, 204679, 91585, 26846, 8149, 101037, 70644, 67384, 153679, 898, 102558, 18887, 79015, 11681,
  110483, 73677, 144865, 17407, 6764, 28552, 369746, 32468, 127864, 203511, 3905, 45256, 190133, 1948, 85436, 54536,
  3961, 2931, 39613, 52497, 101798, 205435, 63769, 13356, 20945, 11390, 155312, 107698, 71138, 12797, 29367, 1300,
  82402, 758, 56650, 14527, 90884, 61424, 194495, 23078, 69669, 175831, 14654, 112729, 44753, 232898, 27621, 99382,
  923, 15115, 22648, 45524, 16939, 11503, 36250, 76362, 59700, 80609, 92077, 81783, 164258, 147964, 93190, 7889,
  25969, 56255, 28476, 115588, 27082, 3104, 94697, 68454, 31399, 203455, 22046, 2756, 43846, 6544, 135118, 128148,
  6306, 148500, 12599, 221886, 246093, 1024, 14109, 13441, 51342, 119104, 168855, 81131, 6153, 19221, 79225, 10911,
  151581, 83444, 1795, 32090, 202801, 86292, 19784, 98045, 182731, 14239, 27382, 126354, 56475, 255797, 116118, 46059,
  162188, 48612, 34197, 23712, 89426, 12944, 100256, 15683, 141356, 108578, 128764, 17528, 14355, 271397, 13200, 5464,
  121815, 164025, 19217, 145007, 27536, 7271, 11898, 27670, 28023, 2020, 34004, 98721, 65257, 221829, 10108, 127625,
  77523, 58581, 6914, 16301, 106668, 18199, 38690, 49947, 127314, 61987, 99158, 82020, 24947, 156159, 44297, 40008,
  12790, 191552, 58504, 13996, 38796, 49380, 31168, 78568, 169698, 51893, 110268, 42109, 23555, 66459, 81335, 350079,
  10725, 11018, 5903, 58576, 44573, 24333, 7047, 15096, 183083, 25940, 30092, 21527, 42088, 116405, 102404, 91943,
  62716, 83434, 46226, 148493, 43265, 16668, 120110, 99611, 105958, 52689, 135626, 19929, 32050, 1904, 97814, 125365,
  44067, 3747, 104, 129365, 50118, 22240, 81479, 147860, 1668, 21592, 58604, 65314, 3874, 8813, 70784, 17613,
  6243, 68475, 42985, 56814, 318411, 38092, 62855, 5047, 16599, 38145, 13374, 7748, 1691, 63047, 41837, 61793,
  94999, 40014, 231631, 149314, 52378, 17178, 17229, 20594, 28671, 298969, 135669, 3725, 216728, 259469, 33874, 54293,
  123258, 45594, 132414, 22290, 2059, 129670, 52137, 8994, 34969, 83516, 130408, 123610, 69225, 72380, 90635, 47420,
  5913, 73509, 87799, 48451, 136280, 23988, 84653, 34987, 171443, 34172, 131573, 84347, 141515, 41151, 84753, 26644,
  91662, 53005, 30287, 228834, 22175, 85089, 5937, 239357, 135282, 3173, 18644, 35622, 80020, 157977, 39079, 53223,
  92270, 5878, 10450, 49133, 1663, 158962, 37020, 13802, 4808, 5512, 34099, 49182, 4482, 39140, 15951, 157071,
  3495, 132172, 122206, 61350, 34691, 43353, 72769, 74295, 5226, 24234, 167378, 239776, 109830, 5797, 48280, 64587,
  108512, 25762, 31651, 55137, 17342, 87230, 251069, 6824, 107488, 60185, 7752, 14553, 11606, 10402, 78777, 6829,
  123190, 43191, 33662, 9649, 100247, 18941, 76354, 27419, 29666, 53504, 129460, 19206, 146527, 208486, 41206, 37237,
  113014, 30191, 57416, 5183, 15794, 3541, 57420, 56560, 30894, 159900, 136009, 282298, 13224, 83119, 1406, 240017,
  39585, 278159, 141007, 6722, 243192, 21680, 25193, 108277, 22351, 16677, 47180, 52089, 9903, 7391, 70117, 38331,
  7836, 20514, 176863, 391251, 47699, 49431, 142718, 40783, 11078, 28591, 32120, 38193, 25468, 458592, 10098, 64745,
  122291, 62128, 93822, 46652, 48821, 13662, 8766, 17814, 26780, 22468, 135823, 124150, 122679, 129978, 11360, 113819,
  75521, 58918, 556, 93437, 81450, 77000, 1965, 3492, 630, 26563, 1323, 193118, 4895, 24288, 80421, 444827,
  92900, 45787, 6232, 74549, 55074, 50259, 138542, 21220, 74293, 14177, 86741, 20845, 17441, 108129, 27172, 542,
  3563, 94640, 76494, 41896, 111657, 28829, 50902, 406663, 103102, 28983, 10586, 120692, 51613, 18805, 55476, 84562,
  12318, 65439, 2351, 47041, 52370, 9553, 44550, 41604, 36191, 65155, 67526, 37264, 68245, 92017, 11541, 5842,
  34269, 49599, 26889, 59557, 40445, 96850, 1906, 135711, 41354, 29246, 70287, 106660, 122901, 45259, 163034, 61670,
  168604, 10682, 20890, 849, 182500, 7459, 14076, 9824, 62012, 17393, 43, 55379, 42557, 140724, 7749, 356813,
  11259, 106585, 56522, 117254, 24428, 38947, 52871, 9300, 115113, 20086, 55518, 10927, 86345, 43851, 62143, 258476,
  12362, 54324, 10491, 40991, 3909, 2374, 125973, 57172, 78430, 341578, 168875, 62670, 86852, 965, 24965, 107818,
  134602, 52017, 33775, 46473, 20459, 104509, 19147, 87014, 47853, 11886, 132839, 96809, 93879, 110609, 2365, 42726,
  22577, 113945, 93171, 450, 7659, 3573, 145278, 14002, 3688, 110115, 18705, 53062, 38555, 47342, 56746, 32670,
  13349, 82125, 43630, 40651, 17381, 125502, 22739, 15199, 56715, 30071, 11269, 266060, 91639, 147670, 110730, 156150,
  12493, 33798, 89625, 209004, 10895, 25311, 4017, 18602, 92438, 67412, 21469, 72030, 3142, 102900, 25974, 86939,
  37057, 197485, 58360, 6360, 28928, 67451, 1402, 28843, 2004, 88633, 12339, 31963, 36427, 70216, 321089, 288373,
  32268, 39008, 31413, 4740, 34222, 25661, 12279, 159470, 209974, 23583, 8221, 132962, 10432, 69680, 62983, 6760,
  67436, 1150, 66541, 28543, 41989, 120559, 51407, 30922, 173518, 85466, 111050, 56221, 107930, 37565, 20849, 48181,
  27079, 107182, 10708, 12667, 62729, 131120, 15921, 10076, 30908, 157502, 94904, 63675, 55558, 6617, 226273, 5180,
  5828, 56366, 13233, 61985, 45031, 2485, 22785, 51794, 14902, 861, 156114, 2399, 53546, 23616, 69393, 128641,
  8204, 20069, 47928, 35756, 144263, 9724, 28168, 77879, 60255, 33275, 30360, 2287, 14520, 139561, 6919, 38561,
  88212, 24401, 123947, 83850, 86582, 113753, 3963, 10915, 109589, 75957, 42047, 64212, 69356, 27884, 27654, 1658,
  8064, 25531, 26396, 43262, 47449, 97110, 27015, 18044, 8505, 10820, 6910, 15078, 66558, 7192, 123575, 29932,
  16886, 91286, 41104, 63367, 4844, 40914, 6359, 2845, 52817, 88113, 9448, 105511, 111260, 18932, 4691, 644,
  215129, 199771, 74460, 6293, 12941, 6495, 60621, 58746, 91118, 57660, 16174, 48568, 650, 73549, 62408, 27497,
  20770, 36570, 9691, 125291, 6273, 101510, 524873, 63355, 73089, 27873, 22599, 43928, 40618, 143174, 44188, 54641,
  62790, 6716, 38742, 153007, 2873, 81054, 70058, 28685, 35002, 11708, 63922, 161592, 14023, 143955, 9908, 36977,
  97208, 20840, 37740, 37328, 19386, 541613, 59406, 52601, 102646, 24863, 90336, 108723, 36993, 19256, 90283, 156507,
  143736, 226099, 22792, 168470, 135457, 88686, 29520, 41685, 35385, 2247, 53884, 7914, 113601, 25634, 168024, 22823,
  17893, 52964, 50078, 12971, 32627, 62833, 89378, 69345, 84439, 2950, 9888, 39211, 100619, 12559, 4264, 76283,
  56016, 57173, 88905, 18361, 6581, 257, 15516, 18690, 57264, 152842, 167732, 100142, 172160, 177909, 114841, 98812,
  45452, 152952, 146652, 57421, 111710, 33059, 83570, 109892, 203627, 18224, 13991, 11405, 70131, 54654, 97200, 72333,
  24100, 8565, 145467, 50366, 322787, 161041, 7765, 55869, 1996, 48165, 55619, 16231, 35665, 59444, 21986, 40608,
  70078, 91914, 2452, 11983, 22358, 46435, 113727, 327395, 90922, 54176, 3637, 61910, 83658, 16892, 19473, 12132,
  4097, 10440, 32159, 34709, 63200, 53820, 279, 973, 58499, 93368, 5855, 59071, 14542, 256523, 219447, 28720,
  99153, 71396, 152707, 32750, 52159, 60623, 48369, 4454, 6615, 260119, 265523, 24086, 12414, 92637, 2799, 18610,
  63415, 61306, 58297, 80979, 31986, 68389, 34835, 18261, 16823, 2311, 3203, 19828, 1579, 46046, 15243, 2581,
  65405, 113461, 50646, 108814, 137809, 9153, 82289, 158349, 8841, 506, 90330, 157611, 16898, 11327, 131769, 58320,
  48082, 107069, 6787, 166721, 259, 104429, 47373, 3486, 33014, 21454, 101722, 52682, 42375, 100879, 112359, 120319,
  12260, 113213, 38656, 173961, 179850, 20340, 86000, 5336, 73667, 112248, 73424, 114676, 91389, 8255, 33598, 167952,
  98882, 313221, 141752, 163735, 29532, 164918, 42180, 9328, 17311, 38319, 9180, 42386, 326251, 90818, 26426, 1863,
  41092, 62380, 5374, 95142, 5928, 29861, 105695, 62497, 20742, 89078, 12203, 22276, 44964, 36172, 50837, 165289,
  48019, 238111, 16046, 2104, 43505, 99836, 25312, 70749, 9317, 81582, 61952, 108704, 49265, 17815, 1489, 44835,
  6643, 115249, 21605, 88265, 192712, 163219, 138454, 48414, 48424, 56847, 23238, 77168, 163487, 20527, 64335, 82158,
  19861, 31349, 187836, 102708, 20113, 52444, 125598, 1727, 70848, 111298, 11424, 155809, 31928, 96999, 24225, 14471,
  105333, 16160, 91323, 49302, 23685, 29832, 218861, 101530, 78563, 93096, 11349, 110852, 14638, 43607, 123209, 91558,
  54755, 35628, 107357, 380618, 7158, 28912, 18284, 4868, 24142, 51577, 38642, 239650, 44018, 991, 26090, 1960,
  20774, 158291, 81907, 50593, 125255, 6485, 72743, 2966, 20331, 214561, 56587, 142157, 24280, 12387, 150, 57700,
  10163, 773, 45875, 97502, 1285, 41252, 206433, 50923, 2336, 113158, 120454, 130298, 39851, 20223, 103681, 48431,
  4299, 190321, 123059, 33343, 117269, 71169, 26222, 33921, 46714, 32383, 97444, 133272, 63816, 37830, 49882, 50473,
  87779, 17666, 112641, 59034, 159624, 26706, 33574, 47126, 11731, 63641, 16669, 933, 9971, 20216, 30684, 99703,
  990, 23911, 20195, 121307, 137317, 47148, 41928, 10318, 108831, 355535, 49454, 32292, 50994, 8122, 16384, 59812,
  74554, 32150, 56591, 174312, 162680, 190228, 9598, 173148, 23640, 61991, 45718, 79874, 131597, 38994, 5964, 48294,
  146962, 7849, 20626, 126616, 170620, 27716, 30327, 39879, 34829, 15772, 147440, 111326, 91205, 762, 39309, 61975,
  21184, 41411, 43771, 23877, 1913, 5640, 44358, 29145, 63616, 7290, 39142, 49951, 18427, 231174, 53813, 32775,
  93136, 7356, 69502, 40528, 156592, 58725, 18403, 57219, 17519, 27403, 39497, 64617, 67565, 18802, 347190, 3273,
  115882, 171128, 6465, 87835, 138220, 37443, 12843, 45934, 78622, 101762, 40426, 16768, 88535, 152513, 46216, 13386,
  18115, 79078, 49051, 26866, 2711, 79682, 103900, 31529, 33554, 8114, 97575, 47612, 109492, 22435, 45316, 90147,
  54298, 70069, 6113, 94219, 971, 203886, 171510, 54098, 24914, 22343, 6068, 91601, 25863, 143464, 64459, 38876,
  36363, 74653, 13924, 17888, 45715, 21595, 79494, 40396, 27099, 48946, 229942, 68108, 194995, 38040, 6364, 105256,
  14299, 43792, 53868, 72865, 178181, 10801, 106043, 59704, 111488, 12611, 11620, 1615, 72395, 35357, 68088, 375,
  322385, 97707, 2721, 26698, 157719, 129043, 96424, 15347, 130787, 1519, 70008, 98397, 11897, 5720, 336769, 151561,
  81843, 3436, 2996, 78953, 83999, 15800, 40841, 8897, 11369, 50915, 1888, 69080, 49280, 45808, 1062, 11670,
  118604, 172349, 10206, 107337, 40922, 127584, 10458, 54750, 61332, 36780, 6193, 84096, 110343, 6105, 74775, 66665,
  53407, 65182, 51401, 281520, 75639, 25185, 147990, 19365, 40582, 32622, 61482, 106248, 300440, 3435, 158683, 10556,
  54722, 4592, 47332, 14499, 25637, 77065, 19723, 29586, 13694, 66649, 26726, 58610, 48248, 133393, 123123, 232634,
  48278, 828, 68414, 56873, 194521, 5023, 64229, 14306, 56203, 86618, 265580, 48023, 52779, 84656, 3432, 27698,
  48783, 165900, 55898, 24382, 72627, 95034, 100547, 13185, 10953, 158080, 190907, 81943, 376, 38482, 157736, 4714,
  16733, 10368, 160286, 14619, 280238, 20156, 17445, 38808, 26351, 35060, 125894, 64807, 230789, 9972, 49181, 669,
  15132, 16923, 2631, 4706, 25168, 70685, 110447, 122549, 137270, 146057, 155535, 21929, 3588, 7274, 38517, 20678,
  63704, 12863, 1324, 50985, 73376, 43993, 200585, 60934, 94031, 33647, 19008, 24301, 74284, 50725, 56271, 104028,
  19443, 69093, 1021, 4350, 159557, 108365, 31846, 2318, 9697, 23630, 70960, 33088, 39901, 32656, 33002, 83862,
  13351, 27646, 142809, 48055, 119050, 37694, 118047, 85271, 15406, 13547, 124197, 30179, 146455, 65071, 112066, 5002,
  3460, 7809, 11639, 39385, 29556, 54914, 121220, 5596, 75195, 25679, 106873, 33104, 37673, 7246, 204139, 29952,
  102524, 115109, 36038, 5460, 92329, 49344, 25242, 34014, 47289, 113697, 6996, 24397, 98413, 185550, 45812, 60522,
  15311, 46467, 213965, 11122, 100684, 7259, 17039, 6550, 56345, 167013, 404753, 307, 7116, 56462, 5417, 73857,
  95480, 78473, 10133, 19036, 11590, 36107, 100941, 53208, 7200, 60420, 95105, 119370, 167, 15524, 6653, 43384,
  23610, 46388, 13093, 145345, 58426, 55680, 305451, 86847, 17730, 58567, 178140, 38965, 136656, 5628, 88811, 17675,
  27944, 83441, 51603, 10939, 53151, 35212, 27904, 53967, 2701, 23131, 24488, 104154, 8824, 55304, 27690, 42802,
  103124, 98578, 280054, 5662, 3017, 22793, 12906, 31495, 90744, 23983, 3464, 134399, 113588, 22474, 69068, 5099,
  53216, 109191, 117048, 132077, 79736, 676, 7774, 71253, 65940, 32772, 116614, 53644, 26931, 7596, 62478, 12003,
  498, 19827, 108263, 47076, 29568, 168754, 31319, 6482, 80540, 13955, 111749, 21181, 143543, 7033, 26026, 51353,
  21292, 85463, 42779, 24887, 1740, 14404, 130369, 63220, 59268, 97587, 33374, 6212, 16561, 43680, 36822, 42418,
  180816, 18436, 9579, 74123, 42323, 147608, 27260, 24977, 50174, 61507, 10681, 205404, 40890, 85856, 53671, 11516,
  52866, 109367, 117903, 74687, 10703, 42095, 18194, 187166, 57169, 32725, 8992, 137746, 4700, 203872, 80833, 23954,
  17191, 61462, 362182, 13934, 4424, 17464, 76670, 12727, 93511, 23063, 65868, 71113, 49698, 1101, 33252, 57054,
  166650, 125436, 48999, 126818, 26972, 5103, 5669, 11598, 48631, 1882, 120131, 84296, 165169, 35330, 3827, 13014,
  82879, 103279, 159135, 24477, 69326, 96729, 88413, 114734, 202970, 9725, 43640, 83623, 4007, 109, 63529, 18092,
  2376, 47112, 60271, 36164, 231325, 18597, 8868, 14797, 139592, 33580, 9437, 22241, 22119, 132398, 126879, 35116,
  62851, 44339, 72086, 46648, 37504, 19320, 81584, 48809, 68816, 14329, 24943, 2579, 58345, 39374, 43873, 7046,
  67398, 497785, 28225, 24722, 186643, 41257, 163961, 110230, 43331, 10072, 100738, 91543, 277416, 48225, 37125, 93902,
  53749, 3511, 89864, 7794, 15746, 112345, 53732, 9563, 23102, 195132, 38187, 21737, 17432, 246976, 175275, 118156,
  4793, 40293, 65384, 52281, 151138, 59278, 5431, 12606, 48822, 47893, 70528, 6708, 54265, 9483, 244562, 3448,
  48203, 48689, 76888, 27624, 198688, 30465, 4820, 115925, 14305, 15512, 85317, 22487, 54287, 116889, 25533, 69671,
  2291, 33041, 27717, 4838, 18018, 20643, 214146, 60357, 113378, 9119, 25030, 79694, 123260, 45067, 41450, 70902,
  7180, 58600, 349673, 18393, 97549, 78338, 21978, 83130, 87027, 776, 46804, 136813, 120085, 10785, 36277, 36292,
  2920, 3810, 8562, 21587, 76080, 26439, 44502, 4907, 8190, 14533, 46271, 56528, 102005, 40453, 71405, 78573,
  5641, 71512, 18178, 33524, 64580, 92871, 1535, 33803, 14955, 66991, 45301, 14937, 59802, 4319, 76815, 79999,
  54028, 152893, 140972, 94339, 58884, 25420, 33237, 94907, 19367, 63221, 14998, 39549, 81779, 200006, 11084, 130155,
  412567, 22144, 57584, 48001, 85957, 43644, 62293, 11070, 97053, 131816, 56871, 43893, 103637, 49559, 149443, 265832,
  78871, 127928, 16848, 80586, 29364, 10123, 96121, 61469, 27637, 122786, 76840, 137205, 141728, 152810, 275825, 164900,
  4767, 48483, 59279, 45329, 30686, 30546, 26125, 67059, 112738, 1079, 36371, 14899, 130146, 140588, 27019, 105371,
  42745, 50423, 37529, 61488, 12730, 34379, 84661, 32169, 105040, 91899, 1842, 106489, 14844, 44986, 133939, 80141,
  232, 29291, 19684, 156429, 210944, 61928, 43419, 24020, 36581, 39425, 29731, 17427, 152317, 27381, 12301, 14375,
  135543, 5697, 113605, 107512, 29744, 107850, 5566, 76470, 3129, 115721, 13033, 87708, 55647, 1993, 5259, 8785,
  58149, 147004, 120371, 11205, 46319, 4743, 14434, 21697, 27265, 15562, 219250, 35228, 17499, 95327, 51051, 18310,
  28005, 166872, 77694, 6553, 59948, 33504, 13613, 41235, 7170, 2462, 19927, 201918, 34138, 6665, 48780, 7020,
  5702, 48429, 19212, 60564, 293047, 10831, 70945, 188451, 110892, 514, 102527, 8278, 408, 60992, 54201, 111510,
  91760, 50530, 1350, 10771, 218674, 53990, 187697, 687, 18469, 10560, 105023, 46885, 46095, 53517, 5808, 50818,
  81403, 2170, 22662, 47127, 14389, 748, 107058, 67959, 4610, 94719, 30947, 36510, 35672, 12468, 50291, 29921,
  73060, 20353, 3271, 51468, 11006, 18654, 11663, 76382, 74848, 7193, 20342, 16187, 104820, 128163, 34980, 13510,
  118143, 40642, 131, 15981, 190357, 1266, 49918, 3612, 20043, 144329, 29109, 51118, 105358, 3728, 9721, 32144,
  141735, 43619, 23028, 307278, 5115, 112747, 69300, 39045, 27093, 43684, 177727, 78108, 45924, 88098, 14492, 21583,
  123073, 18169, 28525, 17923, 52599, 21514, 7009, 272, 29433, 16693, 69214, 94247, 9616, 71738, 25205, 9774,
  238350, 23631, 52998, 161274, 78610, 112631, 168968, 6162, 24851, 53162, 47254, 154989, 58858, 17143, 112681, 166473,
  26769, 71077, 10680, 22270, 31969, 225745, 12087, 104993, 24613, 70335, 68735, 124630, 18294, 157460, 57255, 111655,
  4982, 2471, 133743, 52649, 32735, 12031, 93961, 124470, 39639, 39402, 65329, 63203, 143563, 23805, 22268, 105529,
  112073, 16680, 215716, 21519, 202205, 53228, 247084, 41944, 12567, 2653, 65493, 34693, 4873, 34636, 23926, 71532,
  88601, 71037, 5571, 115122, 44897, 69538, 89072, 43808, 81503, 36583, 28920, 133940, 101648, 191184, 4910, 9942,
  81362, 14489, 27729, 4960, 34662, 1289, 52544, 14776, 85277, 65813, 125227, 8902, 17574, 23259, 36661, 1163,
  48173, 42427, 11467, 98879, 21435, 10466, 35373, 39046, 221188, 185252, 93230, 99061, 40215, 21457, 5235, 36240,
  39576, 128066, 115000, 60589, 80786, 34006, 111892, 51482, 26544, 10656, 50198, 141955, 64668, 129479, 51135, 64929,
  81841, 27845, 7128, 18886, 10731, 11965, 52276, 82304, 37733, 19729, 35028, 59846, 247986, 66135, 53707, 299634,
  149188, 117025, 39304, 27726, 127703, 9496, 71006, 9486, 495, 94820, 47250, 266544, 18382, 101150, 6281, 60703,
  54388, 207915, 132866, 58949, 72446, 26212, 10542, 172127, 43071, 62490, 4376, 56788, 30974, 24968, 91443, 11619,
  198723, 24001, 15121, 136267, 89608, 160663, 33578, 82492, 41360, 46571, 2169, 9481, 190, 29283, 38373, 141023,
  33045, 7619, 29792, 83332, 8386, 98498, 39183, 39255, 31658, 129170, 27144, 67660, 19992, 114184, 53128, 24534,
  237838, 8463, 70363, 22205, 119015, 18826, 68254, 121728, 137622, 10868, 292971, 14603, 50890, 34277, 24430, 65197,
  100913, 109419, 40103, 47081, 6460, 25365, 62207, 31961, 116233, 10816, 65775, 61031, 267230, 19629, 72115, 104486,
  26621, 27002, 49635, 13334, 104129, 8378, 107732, 16558, 65114, 17477, 179978, 4220, 14190, 224493, 16453, 41872,
  41542, 19134, 32179, 25813, 14888, 130609, 58701, 15362, 85962, 12751, 55045, 6635, 23342, 28105, 4224, 127171,
  23041, 34303, 59129, 73656, 26453, 19410, 24291, 79837, 43725, 157265, 16625, 34377, 71809, 89485, 82437, 24305,
  45186, 20785, 34798, 76873, 4770, 3923, 44346, 9874, 46452, 55654, 54665, 4785, 53894, 5025, 60017, 171215,
  56616, 15749, 17762, 16761, 221286, 105132, 20523, 56343, 18973, 1037, 602, 323886, 9038, 95606, 38396, 120502,
  109299, 77097, 79367, 136893, 55365, 8323, 10041, 75592, 19366, 65814, 15614, 83469, 26863, 51521, 18119, 15623,
  18808, 146873, 172424, 11543, 60909, 19528, 22504, 437698, 69353, 57600, 115924, 4644, 41738, 42360, 79256, 27642,
  83463, 162712, 19094, 2916, 12100, 118144, 293484, 54555, 68561, 61908, 73882, 178688, 72860, 49139, 70532, 39905,
  3980, 13190, 59763, 20658, 13796, 126559, 22696, 105248, 49340, 64706, 49195, 81589, 12332, 67817, 7722, 132448,
  31311, 20180, 151712, 35160, 27418, 221689, 96589, 5129, 4255, 9628, 16047, 98064, 53430, 33666, 22032, 208500,
  18976, 61564, 112915, 15902, 45523, 84205, 34747, 46386, 510, 76620, 34577, 24704, 14224, 18606, 4384, 109151,
  30477, 37359, 74952, 30874, 26581, 19550, 21657, 13283, 4530, 93073, 46376, 122364, 3651, 181757, 62601, 2206,
  101663, 118572, 17855, 52952, 139840, 62606, 278021, 77080, 22709, 7959, 241332, 42371, 150861, 39772, 27577, 14415,
  31996, 13012, 109120, 42856, 63923, 41223, 14878, 182608, 120623, 29348, 36991, 15117, 262522, 7183, 54934, 3332,
  3076, 65389, 287192, 49740, 10528, 35270, 56818, 22639, 2929, 61578, 23280, 30127, 14672, 3157, 47696, 21588,
  130238, 62110, 52327, 56193, 18087, 130896, 142685, 109840, 9816, 18121, 57992, 97319, 121894, 80599, 54501, 27268,
  100308, 81451, 3014, 47285, 25085, 7174, 5312, 74894, 55111, 160804, 29625, 46682, 14565, 172807, 29181, 36368,
  18952, 75109, 124625, 24016, 53293, 186013, 58761, 87814, 2042, 89459, 35087, 63052, 369988, 86526, 54374, 118097,
  23674, 2122, 110119, 15845, 61789, 10677, 100968, 183270, 133529, 81233, 103267, 198839, 28783, 73169, 17965, 361713,
  108293, 136324, 42487, 26373, 35477, 218558, 27158, 71527, 47119, 331883, 45160, 78970, 36448, 156591, 71832, 96730,
  71049, 146, 111991, 17781, 40015, 99088, 5627, 90890, 33055, 23338, 4252, 167723, 78598, 149826, 35613, 11228,
  198442, 31532, 169906, 23323, 1833, 125495, 8102, 12897, 159937, 4522, 13990, 177607, 40654, 227310, 20082, 31598,
  77444, 15467, 109179, 17723, 189245, 6218, 103555, 3422, 113153, 7920, 38581, 148584, 8621, 19962, 49090, 28195,
  18599, 79279, 133222, 12709, 38553, 16730, 103630, 60913, 35223, 13228, 67419, 28730, 166072, 36003, 6493, 36652,
  2375, 50657, 9527, 81998, 11659, 334160, 15168, 51380, 21786, 15122, 59275, 119745, 89523, 67219, 2185, 46735,
  6032, 47447, 137690, 5166, 12116, 23018, 5022, 48313, 63046, 10829, 83429, 2746, 159398, 67335, 98418, 53999,
  18454, 31569, 37892, 109132, 3678, 81620, 104491, 54681, 32521, 109973, 42533, 52504, 47626, 42504, 36807, 2633,
  11411, 159915, 60573, 111310, 103527, 128644, 103027, 285252, 38896, 10950, 44585, 164005, 42946, 28131, 45971, 32359,
  15696, 11312, 106951, 2917, 26370, 12048, 16052, 74680, 10185, 98893, 89672, 24790, 8413, 87026, 851, 4549,
  37080, 174727, 18289, 200644, 165583, 57864, 69857, 29259, 4331, 19717, 91462, 13011, 63555, 21391, 1990, 44481,
  14907, 7340, 15774, 49591, 72220, 3931, 6418, 53568, 50056, 9288, 4106, 48438, 6623, 5117, 1012, 41437,
  62236, 84002, 33918, 65542, 36565, 92277, 39629, 127582, 49783, 44146, 117628, 5155, 10049, 42692, 4608, 187456,
  17503, 74015, 34318, 12962, 100581, 33867, 21832, 157914, 55951, 106858, 14475, 188259, 146244, 57414, 21163, 26020,
  24724, 5253, 161736, 121717, 9626, 38446, 431177, 1188, 17969, 46978, 157547, 62747, 25524, 30400, 177415, 12289,
  109300, 175621, 49009, 166322, 173965, 132234, 51768, 26032, 99994, 15755, 29800, 72351, 101056, 240613, 21289, 15214,
  46459, 46348, 58410, 30396, 43647, 89731, 28915, 142785, 53737, 14946, 5545, 24313, 277968, 72809, 33232, 8640,
  8347, 16712, 3946, 25575, 123521, 39179, 9991, 145543, 74858, 137200, 34491, 8629, 33829, 23820, 68921, 35423,
  44762, 49871, 133748, 46991, 77574, 166611, 31020, 11875, 877, 44133, 33877, 3257, 81377, 73657, 30727, 46882,
  222525, 70076, 137697, 69291, 123532, 18001, 25423, 188796, 30602, 16643, 53078, 60931, 43881, 38283, 3221, 355554,
  53145, 80702, 59009, 39689, 2973, 60883, 77304, 1117, 16284, 24073, 22669, 122990, 81940, 39844, 12369, 18781,
  61281, 133978, 1107, 20779, 127044, 44416, 157395, 5868, 63620, 24846, 35621, 48921, 9875, 41926, 56949, 22208,
  14756, 163188, 3847, 68103, 114829, 35532, 76171, 42852, 19032, 34658, 126394, 15837, 9202, 15195, 40076, 88927,
  52759, 150700, 23019, 8077, 119141, 224558, 88676, 134306, 23928, 48525, 115416, 76405, 120551, 21229, 51681, 188804,
  19607, 12750, 33280, 20117, 3599, 57084, 87953, 20205, 33401, 81760, 13064, 16835, 76821, 64466, 84841, 46288,
  73233, 87118, 9264, 13911, 117430, 86790, 13771, 24443, 39968, 82124, 15778, 63864, 36539, 3066, 24571, 55240,
  7071, 149040, 28850, 48106, 5446, 69537, 2674, 42691, 121735, 29802, 93801, 222967, 194059, 30066, 53170, 4677,
  15206, 107943, 39854, 31639, 45283, 53779, 59063, 2348, 6706, 195398, 48495, 2005, 15603, 165902, 265960, 30910,
  65615, 207693, 136663, 32249, 1207, 87403, 19215, 33091, 165723, 49438, 43462, 11067, 92275, 62699, 44678, 45289,
  34773, 17412, 48972, 1858, 104447, 181545, 1001, 119266, 8396, 153464, 132289, 115529, 32353, 7992, 172028, 54069,
  205240, 29592, 91739, 119994, 164323, 113460, 108440, 30929, 13600, 17141, 120659, 18146, 60555, 88204, 146500, 273964,
  79205, 25175, 90166, 44725, 25532, 113251, 4468, 67884, 22907, 53542, 14201, 46217, 33410, 54978, 26399, 177809,
  57480, 121936, 45917, 11309, 107111, 19480, 6478, 34292, 69630, 3736, 25310, 244475, 32137, 29438, 9982, 103486,
  47832, 52490, 37250, 2562, 70913, 5179, 136415, 91803, 33161, 9255, 18432, 13038, 20321, 49485, 6575, 115334,
  2371, 33789, 7808, 45775, 117348, 14605, 42941, 98279, 10714, 95052, 76922, 21407, 86246, 16306, 223273, 15316,
  1625, 250738, 2661, 32095, 11763, 40925, 49073, 29377, 17900, 1538, 17882, 8, 268, 90833, 50429, 806,
  78457, 6040, 177458, 105879, 99175, 24946, 48684, 55552, 97940, 1832, 81954, 48107, 101092, 1204, 34337, 93721,
  86660, 78345, 46377, 86370, 32221, 80601, 7480, 46341, 14041, 65429, 7269, 59499, 128504, 5442, 8744, 14012,
  125080, 161674, 6784, 14584, 53744, 130216, 6841, 122602, 124263, 31593, 18807, 113744, 31017, 885, 20344, 220948,
  13897, 791, 83914, 15043, 403, 15272, 20903, 38772, 31859, 100639, 117558, 55130, 21964, 75452, 165550, 31144,
  5633, 18734, 4133, 25708, 111630, 157700, 635, 222034, 5547, 90494, 37283, 12982, 77329, 31122, 83775, 43379,
  17961, 19477, 64730, 37597, 18241, 81216, 57923, 24610, 84995, 11492, 22811, 22078, 25984, 270901, 50439, 91195,
  12983, 70850, 98931, 154004, 67491, 66969, 83799, 168671, 62168, 141041, 109484, 189545, 47262, 124643, 76032, 11984,
  5241, 73085, 225, 35278, 297, 65251, 11750, 150754, 51191, 49847, 161229, 99388, 7351, 7406, 114189, 8814,
  8967, 13541, 57080, 44100, 147212, 116349, 149864, 40247, 82060, 41029, 37322, 87508, 16821, 59609, 20679, 68392,
  782, 43253, 332, 39938, 11033, 23732, 188925, 38934, 82431, 93785, 15532, 191109, 62957, 63022, 27531, 12252,
  5026, 3833, 2431, 21465, 43459, 25953, 192718, 3308, 77963, 89356, 168314, 168685, 203477, 49146, 7655, 23219,
  53528, 24982, 48685, 54631, 6247, 793, 74260, 48185, 191852, 3095, 172876, 179270, 87774, 154528, 7635, 7686,
  74164, 17007, 112569, 121364, 215654, 111268, 13329, 18967, 13467, 122533, 140331, 36832, 1522, 10077, 18418, 42747,
  219964, 6033, 9858, 108306, 28589, 3913, 123863, 178765, 244104, 135651, 14684, 90, 16242, 77118, 55574, 8651,
  117821, 131103, 73529, 284295, 67725, 19246, 36974, 62269, 72570, 115836, 24484, 7412, 156792, 33054, 573360, 105103,
  17186, 54299, 4686, 38563, 15979, 5729, 49563, 346297, 26990, 61110, 74313, 185151, 44128, 30657, 15134, 17195,
  193014, 25751, 282233, 137910, 35276, 2087, 2963, 41221, 57125, 17228, 387574, 26559, 16212, 16812, 134202, 221232,
  166451, 26462, 936, 117519, 68017, 293962, 22383, 16552, 6905, 277202, 9279, 27507, 77608, 63540, 29132, 62909,
  16364, 5654, 9548, 22674, 53777, 85931, 21483, 80245, 75921, 20622, 81952, 19224, 76426, 285538, 17463, 125910,
  37975, 57734, 50774, 69447, 26203, 50278, 2138, 85944, 269296, 11227, 222528, 187351, 64099, 65932, 14212, 61685,
  84122, 91003, 37581, 16099, 12077, 59461, 40868, 28123, 38533, 44075, 2588, 36016, 830, 15331, 10265, 75145,
  4407, 11384, 111778, 70114, 20139, 984, 26926, 342, 963, 46653, 91781, 6704, 43028, 132517, 82755, 31140,
  38902, 59578, 21048, 53790, 42911, 10083, 25044, 133733, 37503, 46985, 29071, 44261, 83343, 70437, 43357, 137819,
  85045, 60306, 103907, 440, 16979, 162235, 12666, 4636, 1165, 37911, 28310, 153557, 60835, 38997, 64064, 5185,
  137387, 32320, 2362, 99853, 58380, 69321, 213523, 50218, 86990, 100948, 61020, 50950, 110066, 13348, 19342, 25918,
  134540, 64060, 4579, 40959, 56331, 1462, 8265, 82320, 193845, 39437, 45216, 6839, 81238, 14382, 79046, 111178,
  17922, 29276, 57365, 149704, 163093, 60574, 16827, 8286, 38744, 18611, 99128, 34812, 110641, 21069, 171408, 84764,
  12502, 14627, 116407, 2999, 56404, 1193, 183004, 176249, 34862, 85940, 4493, 112158, 26865, 58572, 118875, 48672,
  125964, 15384, 25939, 117101, 12965, 233142, 40136, 48959, 111648, 66007, 37557, 264020, 25547, 33774, 91392, 32277,
  7771, 19724, 17197, 71573, 27196, 92454, 77107, 15576, 136980, 15649, 12242, 7975, 9555, 9118, 86424, 147261,
  29551, 122983, 9583, 13549, 107158, 97365, 31540, 14053, 57885, 2089, 19688, 78428, 18831, 57090, 7772, 6023,
  37705, 42279, 17489, 45843, 35505, 9504, 28240, 38671, 101742, 14357, 11556, 49552, 13970, 125707, 62503, 78,
  102109, 90600, 803, 39636, 62548, 22745, 124819, 19312, 124657, 21863, 74065, 15736, 23328, 7341, 72910, 29289,
  11124, 153626, 25328, 14621, 89592, 68952, 122844, 51529, 146376, 37056, 32205, 119308, 248050, 105130, 5385, 9375,
  6241, 68714, 119962, 30149, 22033, 32348, 9826, 10506, 18337, 1194, 11043, 20440, 80685, 7291, 6655, 39825,
  29898, 34836, 89830, 2183, 11908, 77399, 230, 65020, 216623, 34971, 221825, 14543, 67721, 227257, 14033, 27652,
  106162, 21776, 20020, 28180, 146610, 80549, 55471, 219506, 21377, 61817, 7021, 305922, 15085, 106336, 54962, 10257,
  91552, 89739, 15956, 10310, 42041, 12349, 21713, 99929, 62560, 8880, 23249, 59633, 122532, 7065, 9930, 6740,
  125336, 55124, 109173, 72328, 102365, 8889, 8209, 56963, 121537, 88838, 40700, 83507, 142559, 9284, 11988, 12130,
  29693, 99684, 1851, 53782, 223919, 30273, 31841, 19809, 11515, 73342, 35465, 93163, 110495, 23975, 49885, 92376,
  18776, 32648, 125596, 132210, 22494, 29891, 297641, 6024, 5895, 22238, 100417, 18472, 185059, 48669, 125656, 10048,
  103592, 49510, 59226, 104204, 229351, 165617, 46718, 48516, 51220, 41125, 102032, 77586, 100102, 19702, 25341, 13898,
  37027, 2385, 82750, 60716, 257855, 90865, 4079, 14003, 29359, 297913, 47142, 98916, 54123, 14508, 12634, 40487,
  36066, 129289, 2029, 245241, 106493, 5810, 109583, 17298, 12244, 60441, 17678, 23488, 79258, 151032, 54077, 112594,
  32002, 5397, 25330, 17562, 432, 34826, 2236, 30268, 56205, 22097, 10644, 6211, 94836, 184579, 8566, 12259,
  90182, 61802, 2022, 29431, 6726, 4718, 91806, 456527, 14762, 39564, 99255, 8125, 29391, 128901, 131938, 180961,
  48938, 149835, 7017, 26179, 26864, 38950, 491, 20535, 38083, 43407, 78246, 137337, 60364, 35466, 21672, 57096,
  3310, 39531, 1033, 46613, 60192, 3069, 21262, 288395, 14766, 77635, 29064, 99405, 205567, 154227, 179766, 14046,
  57504, 99249, 29131, 64556, 110760, 88476, 228776, 3720, 22649, 302613, 85204, 95561, 24666, 38247, 51104, 2156,
  46333, 117076, 191749, 48805, 21517, 16529, 57284, 34877, 3430, 71129, 30911, 56215, 13135, 122327, 141377, 4502,
  28873, 12208, 183048, 148459, 27052, 44260, 166866, 49683, 158809, 197069, 27559, 78004, 11597, 48052, 1373, 159150,
  20529, 206142, 12875, 61289, 6695, 68881, 22031, 2730, 23138, 107005, 59860, 1509, 22960, 36899, 42173, 70639,
  37137, 51908, 72392, 61903, 45574, 102776, 400, 53585, 6545, 7660, 71705, 48771, 305877, 115853, 19814, 37969,
  43423, 3477, 6989, 9730, 26153, 133461, 19482, 123699, 24769, 73107, 44361, 86286, 59844, 213778, 53573, 18022,
  14501, 100344, 128105, 108914, 10430, 136734, 154864, 41259, 134352, 60618, 70173, 3694, 56169, 29875, 7038, 16127,
  13213, 3067, 10956, 12306, 103432, 86864, 35882, 158228, 49523, 48003, 10223, 41242, 35181, 11563, 115948, 71725,
  13435, 59826, 26330, 104459, 12408, 31199, 198177, 173879, 129475, 28833, 287276, 88609, 64620, 90587, 23797, 20565,
  230854, 40940, 38005, 64403, 77390, 30876, 41640, 111472, 51990, 21480, 5502, 71562, 15653, 50942, 53320, 213339,
  83248, 57060, 47482, 99892, 33466, 94511, 35134, 39153, 44571, 79902, 26028, 77887, 117828, 65872, 48866, 22019,
  51481, 20695, 6816, 15468, 2187, 56218, 56453, 72760, 10559, 23157, 89968, 337727, 68019, 20454, 32792, 91871,
  18021, 19811, 54181, 19785, 54895, 74209, 9868, 171144, 48247, 7928, 165277, 1104, 18354, 39238, 60324, 127799,
  33737, 46441, 21125, 16451, 4554, 138540, 104181, 92183, 108595, 35070, 341328, 119439, 37288, 53479, 244682, 62059,
  39767, 90048, 55516, 10156, 116707, 177198, 93755, 76515, 9175, 160572, 523, 82789, 3726, 1887, 5577, 952,
  108877, 14261, 74693, 168738, 21616, 69086, 93069, 2668, 83684, 168326, 89980, 40475, 49862, 993, 36286, 134733,
  1938, 1799, 17016, 106908, 8543, 213196, 68388, 64036, 276466, 31847, 29247, 15775, 20134, 20323, 38300, 6990,
  108498, 60387, 10008, 41213, 48770, 96703, 53469, 375632, 102254, 16286, 56810, 71072, 31914, 93491, 252525, 99457,
  131520, 360748, 153227, 148240, 185291, 21359, 5538, 120533, 100559, 7782, 22500, 110558, 51890, 8141, 109666, 34083,
  209, 2223, 43177, 12541, 19526, 38778, 39701, 58422, 76471, 57840, 69298, 168436, 50544, 120544, 5588, 4904,
  71814, 6780, 99075, 11363, 99351, 96073, 4464, 71241, 8172, 116428, 160177, 72875, 198526, 85587, 21266, 28059,
  28816, 58105, 282844, 53464, 20419, 81082, 260276, 6827, 9109, 38541, 171515, 229032, 98389, 150153, 15498, 10140,
  136777, 110487, 92940, 42991, 76479, 19523, 10372, 21173, 75596, 28853, 81504, 63448, 30635, 135311, 13245, 254897,
  165417, 61091, 49656, 45428, 48216, 44529, 18414, 915, 120220, 22939, 12949, 64687, 25955, 67099, 25048, 22602,
  211071, 8500, 87865, 14625, 39314, 101395, 81563, 141087, 24308, 43453, 50836, 133590, 32164, 3576, 59438, 10284,
  2559, 731, 9526, 222252, 146280, 87697, 10901, 52647, 43403, 137838, 74591, 33197, 9233, 63356, 132528, 799,
  17947, 41186, 9082, 7417, 90585, 39849, 50863, 90290, 1786, 8152, 144979, 35008, 86920, 156078, 59343, 104076,
  125662, 127008, 111645, 36851, 2457, 87365, 8649, 14841, 64741, 69960, 475364, 42995, 32152, 78057, 117362, 50703,
  32918, 3669, 219900, 142020, 122882, 25093, 37632, 59532, 78538, 31923, 14695, 27152, 44001, 30500, 34140, 87080,
  31723, 21082, 71987, 36698, 56426, 225949, 5796, 1809, 23375, 125781, 9456, 168878, 103172, 15329, 86662, 97895,
  88177, 17270, 67948, 56739, 145697, 32730, 25167, 10080, 52506, 49488, 112733, 42661, 49319, 110135, 27599, 51073,
  68016, 69079, 90323, 101226, 31664, 20967, 163445, 48192, 41488, 41500, 17028, 27408, 18486, 193593, 92824, 60145,
  110400, 6284, 10148, 99305, 7030, 8019, 15366, 78496, 28241, 25688, 95511, 86416, 986, 31151, 29745, 215965,
  109199, 10425, 23864, 62113, 19900, 54264, 8171, 31738, 42147, 21664, 39774, 126916, 56864, 9927, 2688, 85157,
  65287, 33019, 23537, 6543, 49183, 29757, 1968, 29750, 7858, 70193, 1211, 62048, 24000, 35355, 53720, 246,
  30453, 1963, 267877, 27516, 840, 101181, 36344, 426, 16673, 136627, 20509, 19180, 25907, 70101, 11239, 56975,
  68916, 9194, 87686, 38354, 89927, 16469, 7125, 48706, 6309, 37837, 22274, 71780, 158335, 39840, 82643, 75960,
  36407, 49670, 1989, 14982, 199737, 14639, 22843, 120678, 130464, 46783, 21419, 13639, 13137, 127847, 144799, 159573,
  59603, 17603, 2824, 59934, 201778, 13312, 36351, 40000, 195292, 19891, 2315, 33443, 21015, 43785, 3891, 2636,
  42466, 7039, 20196, 103143, 179062, 154987, 42658, 47584, 172561, 40055, 48647, 12739, 89492, 8870, 14895, 170930,
  11075, 73935, 31376, 34999, 180407, 46254, 20836, 59075, 31868, 41037, 39680, 25099, 72493, 14732, 26639, 55562,
  20998, 611, 41758, 4739, 60217, 85527, 54988, 99046, 9865, 99927, 2352, 15721, 19530, 86459, 1125, 66190,
  39274, 9720, 82870, 3364, 130266, 15887, 122881, 84869, 54539, 14106, 293942, 63127, 21623, 10194, 31975, 38172,
  12535, 149, 62630, 75752, 13505, 13805, 8770, 88088, 40641, 208378, 14393, 38913, 73375, 44350, 32840, 22198,
  4087, 10333, 34430, 44812, 85633, 122365, 38608, 134765, 2153, 192171, 2383, 3536, 3117, 54286, 96428, 28420,
  70680, 12317, 147982, 4363, 55788, 39340, 6445, 40899, 92096, 24356, 221898, 26647, 47509, 10792, 131852, 24256,
  98493, 19086, 25386, 75057, 37490, 10028, 45730, 184141, 271936, 286712, 1729, 81050, 151475, 2718, 8857, 7068,
  3032, 70545, 10863, 172184, 16171, 61405, 54726, 3906, 96642, 17628, 2754, 24338, 34106, 1369, 8054, 98154,
  78425, 52080, 132116, 61228, 125761, 72327, 27960, 23032, 19591, 19659, 80147, 103860, 3366, 33018, 35292, 39070,
  19316, 88042, 12272, 53033, 54508, 18901, 21506, 21455, 24183, 122461, 20317, 27159, 50786, 118677, 19298, 4344,
  194248, 97414, 153639, 16051, 91528, 37589, 38898, 5339, 33253, 113074, 39403, 51508, 34622, 24505, 11212, 76907,
  108355, 126229, 77678, 8205, 41741, 10599, 69948, 101917, 705, 49260, 68715, 39750, 3814, 111125, 108544, 115867,
  3883, 144663, 33293, 7255, 108929, 13737, 90748, 14774, 13203, 10588, 17244, 84607, 67831, 29180, 50860, 106727,
  10142, 30125, 120708, 58131, 59754, 66460, 103711, 43126, 68208, 9476, 5110, 156651, 29128, 145052, 14949, 151686,
  84820, 79229, 57233, 1002, 56880, 47904, 10010, 11807, 38794, 32039, 2140, 3550, 24972, 116011, 47660, 76086,
  48571, 130683, 18131, 4450, 40821, 39353, 38655, 33743, 40476, 135664, 142086, 29489, 18137, 67555, 45205, 115281,
  164254, 261470, 1105, 128217, 24064, 28118, 111832, 44643, 236309, 17929, 3024, 138171, 79181, 14368, 22266, 37872,
  11282, 10626, 56113, 43632, 395, 41031, 1026, 152342, 39169, 124364, 66473, 4684, 2013, 12270, 120501, 142296,
  51587, 29013, 3177, 129452, 28551, 23498, 8358, 22595, 9645, 92008, 40742, 106126, 701, 194074, 1806, 54493,
  109513, 2084, 33125, 5622, 115899, 14353, 11000, 60472, 113566, 150803, 15891, 40791, 12762, 53130, 36257, 13420,
  62045, 128143, 272516, 213527, 58322, 32400, 115427, 101476, 103726, 20176, 21502, 355183, 41343, 23892, 15753, 2312,
  40866, 54294, 101785, 55146, 244102, 32705, 27994, 13284, 143816, 157993, 81010, 16933, 2490, 6072, 23250, 13602,
  70346, 112144, 297560, 55477, 40973, 56881, 19001, 130715, 52618, 12974, 11195, 11003, 15412, 7646, 11175, 7316,
  30720, 44809, 123585, 100767, 104315, 95294, 104855, 7533, 38917, 11608, 3316, 171486, 42027, 49423, 58544, 56254,
  93676, 12514, 18792, 45592, 17513, 1245, 48068, 120907, 107418, 26207, 55327, 89145, 20706, 175898, 72652, 100555,
  123890, 3322, 87742, 9460, 13399, 59577, 26311, 16724, 97727, 64005, 14658, 4457, 24044, 49860, 32409, 21567,
  87962, 27289, 14624, 50763, 65606, 23475, 207482, 25541, 44250, 48058, 12271, 88998, 98044, 55548, 2331, 52575,
  65276, 9350, 77725, 56779, 74790, 14114, 85990, 42433, 101473, 7844, 52309, 157284, 19350, 39922, 12466, 21036,
  91570, 95031, 74187, 95245, 1326, 34475, 71765, 28558, 87790, 354, 27116, 254543, 172042, 18412, 35291, 39776,
  7577, 28592, 29654, 42244, 100813, 7588, 48319, 48295, 86896, 40289, 229422, 2570, 85891, 10264, 76701, 52231,
  41512, 127376, 230534, 93605, 108130, 23424, 36739, 233035, 27794, 95965, 35884, 151494, 14875, 843, 49833, 38010,
  71431, 219272, 82428, 214192, 12835, 127240, 14345, 138207, 156250, 50941, 99644, 99417, 58135, 7353, 39821, 29812,
  3759, 7415, 14572, 53830, 22476, 49857, 78175, 14915, 42176, 77853, 6530, 12126, 115873, 21641, 122781, 72383,
  34686, 27915, 136002, 76130, 56523, 25687, 6527, 134727, 73643, 74722, 67478, 8251, 108505, 23843, 145891, 48731,
  51491, 16182, 53915, 16603, 20838, 7395, 115375, 138355, 12721, 58670, 15892, 3735, 32863, 124677, 12604, 11997,
  45700, 14999, 258154, 2720, 29496, 271082, 85521, 39973, 13700, 113046, 44485, 36482, 34294, 47751, 134797, 155904,
  55360, 134690, 21770, 91135, 29206, 144711, 48744, 44674, 155942, 59875, 17918, 64497, 123812, 9144, 234966, 164534,
  7706, 5270, 25090, 20339, 163234, 3097, 133900, 125161, 203, 10715, 9667, 87129, 132720, 92850, 3501, 14636,
  49358, 17266, 21111, 30612, 144431, 122860, 101497, 17673, 8130, 11884, 91167, 88623, 175788, 32729, 35605, 166925,
  35818, 36536, 38809, 2716, 3270, 93973, 82603, 23366, 76832, 61965, 62245, 13893, 25710, 144091, 98814, 44208,
  54095, 236277, 53367, 34834, 97274, 2172, 16858, 49284, 28779, 113183, 4643, 106217, 94621, 164943, 16845, 19253,
  74396, 22592, 87503, 34996, 19092, 146507, 19116, 134652, 128242, 22736, 1007, 132190, 58067, 27936, 48566, 40563,
  20885, 33771, 80664, 989, 14670, 14315, 21661, 187703, 93255, 27617, 245729, 44376, 15107, 49824, 93604, 106721,
  63291, 5606, 153280, 101864, 23654, 28688, 6737, 43584, 126900, 7137, 67499, 145087, 129421, 24707, 105699, 311580,
  59294, 11582, 211232, 92185, 262659, 717, 4752, 31126, 9798, 18631, 28374, 3367, 3251, 154411, 52363, 51023,
  67344, 70678, 261560, 78059, 28600, 18070, 79850, 53359, 44629, 30869, 19073, 64045, 50672, 63508, 37203, 78992,
  29072, 93421, 104033, 26081, 26999, 121749, 113974, 301732, 31526, 3016, 52083, 135740, 23183, 10650, 107815, 49863,
  49175, 1554, 10166, 34286, 165843, 102866, 56807, 29193, 175455, 36495, 50639, 18134, 17282, 14831, 3286, 19214,
  175411, 85620, 44203, 2339, 32022, 31760, 24711, 84552, 45989, 38675, 25767, 121791, 30298, 7929, 8128, 324,
  90690, 46242, 120990, 8574, 78118, 72361, 11333, 68279, 83156, 26766, 288, 27097, 23749, 6805, 96767, 122167,
  35636, 198501, 41641, 29661, 31317, 217715, 8631, 12460, 7069, 78590, 46516, 87449, 80381, 45698, 49298, 44290,
  94561, 24990, 13323, 11057, 133756, 4423, 12607, 21852, 14960, 88023, 10455, 58146, 97404, 38753, 9405, 216304,
  6138, 24563, 206624, 146948, 41065, 115571, 46443, 96844, 78041, 42616, 20236, 11182, 32843, 47724, 12361, 122382,
  16601, 14468, 3252, 1927, 34123, 58038, 88840, 63230, 9559, 119391, 241176, 12638, 146529, 181367, 152506, 46831,
  123377, 113569, 91896, 1930, 96395, 154527, 81091, 102845, 54441, 92585, 4800, 95396, 42012, 27534, 62635, 8447,
  84257, 129409, 12110, 25104, 123541, 51131, 36346, 44078, 10745, 2994, 120391, 4597, 22139, 55241, 51317, 125652,
  106459, 267836, 35138, 15293, 11720, 7525, 66335, 62591, 150883, 14682, 152240, 38920, 172651, 34616, 1931, 48367,
  154996, 53262, 13826, 3119, 110538, 5436, 54461, 84681, 4728, 16350, 250445, 69950, 53447, 94853, 13819, 81759,
  25704, 73967, 266094, 36612, 2009, 10054, 152119, 181823, 71152, 47335, 164288, 150538, 119354, 57186, 395013, 2941,
  21166, 126317, 18555, 208602, 66604, 161278, 109157, 190726, 1429, 126459, 64236, 8007, 216162, 49573, 170973, 56109,
  8637, 53811, 49583, 16200, 122250, 46869, 24350, 5723, 63520, 11915, 9305, 41525, 27180, 215488, 96890, 13022,
  29172, 40217, 11913, 5985, 36124, 147278, 26010, 452445, 276428, 85611, 7347, 12127, 107787, 9651, 6341, 2892,
  77184, 25332, 29107, 20014, 4680, 81466, 12892, 58258, 14952, 10238, 70027, 35013, 104903, 128969, 46523, 15173,
  24418, 103787, 139284, 30348, 14793, 9646, 156700, 29992, 51561, 15377, 15544, 84114, 52931, 20387, 129004, 6592,
  8371, 57164, 36658, 17268, 26342, 292, 19324, 116062, 48526, 23357, 38167, 14524, 7118, 263554, 155894, 242917,
  92066, 33509, 27485, 107820, 67280, 197352, 32547, 18520, 40653, 68664, 90091, 69796, 8847, 81434, 4751, 106853,
  34597, 37923, 18335, 221713, 105438, 25972, 14464, 111785, 14198, 134281, 5575, 71227, 50163, 102398, 17570, 101686,
  61188, 22480, 52263, 56951, 146286, 15008, 39203, 25408, 50315, 2155, 73767, 13685, 41205, 94069, 6395, 180692,
  170829, 2835, 2103, 11342, 161496, 89214, 6026, 1302, 585, 38860, 110361, 40025, 197359, 39048, 82914, 220968,
  95056, 26946, 162638, 65364, 1687, 34647, 33433, 75300, 365794, 57865, 121192, 320880, 91349, 18120, 6915, 106455,
  48507, 20917, 41330, 101793, 5804, 46924, 91838, 39919, 49263, 77778, 119562, 26736, 5146, 16996, 48515, 149815,
  104902, 87328, 6533, 151190, 96365, 32904, 4018, 7595, 117343, 138520, 33658, 181860, 132222, 36765, 26173, 59136,
  46084, 53703, 43164, 216719, 96919, 95045, 33006, 96990, 16875, 83496, 45441, 27720, 8073, 17015, 124868, 179271,
  262381, 118057, 199816, 4275, 79982, 123100, 54391, 90904, 52663, 27953, 77709, 4272, 13928, 39051, 71112, 413271,
  16056, 87986, 33056, 18596, 153908, 120302, 27857, 128911, 15145, 60790, 4586, 67318, 109256, 79780, 45306, 11932,
  132308, 106229, 37412, 1507, 18763, 133449, 58137, 37961, 24904, 86499, 21760, 41606, 167644, 77227, 120713, 43226,
  13618, 151594, 108301, 101213, 40750, 66225, 16687, 80402, 18686, 48613, 45656, 10805, 147124, 34576, 19977, 157309,
  114709, 36792, 223317, 58062, 150038, 9205, 150642, 21252, 52849, 184323, 41421, 43314, 2938, 99855, 60463, 129217,
  12568, 75505, 125705, 141476, 48617, 43014, 23373, 19138, 8778, 94674, 178893, 8058, 5459, 94724, 266341, 80369,
  44202, 274013, 86858, 78320, 44591, 24273, 35983, 13078, 74914, 24190, 202665, 27165, 17183, 37327, 73294, 34055,
  248689, 18437, 74717, 975, 13878, 8774, 64644, 71823, 7822, 6524, 56622, 7221, 80060, 16273, 88677, 19383,
  23116, 127134, 154899, 68336, 194037, 241, 4615, 387990, 18487, 147941, 15391, 26006, 2067, 26484, 4709, 66156,
  7798, 2820, 26469, 48765, 43077, 66027, 3606, 27342, 33678, 18421, 7829, 55334, 244028, 32856, 8103, 147672,
  31320, 49696, 49702, 69018, 74273, 120264, 122020, 31808, 2794, 1867, 52845, 55295, 19466, 19329, 26414, 52167,
  8218, 210642, 13654, 127707, 36280, 64707, 8564, 114550, 183997, 115833, 23481, 2828, 48124, 16340, 247, 309535,
  19416, 66487, 105120, 17809, 29656, 47021, 201858, 160017, 19280, 78447, 21406, 39940, 98734, 122438, 36909, 83000,
  7715, 134747, 24473, 75401, 18311, 9336, 15781, 55262, 30701, 9503, 53173, 8524, 133602, 90200, 85568, 13433,
  150307, 24618, 45822, 23920, 126956, 23395, 51943, 161287, 7378, 37763, 121912, 32196, 2933, 19681, 9297, 23283,
  79903, 162071, 55832, 23137, 13178, 209527, 9418, 18467, 12593, 119121, 83307, 51772, 86571, 52216, 23349, 61608,
  26604, 94854, 7575, 204746, 92446, 22189, 28677, 83268, 13574, 65266, 57786, 61446, 44205, 26661, 107681, 91716,
  65699, 82006, 71722, 70318, 427599, 64286, 24112, 101430, 21118, 144724, 36334, 80349, 8245, 44912, 45640, 4276,
  14407, 1378, 31347, 22711, 27877, 62250, 191999, 8464, 47936, 361021, 134866, 3976, 33542, 48109, 10852, 237219,
  7916, 122443, 17484, 70725, 26460, 109271, 187381, 128014, 117762, 246379, 22586, 82080, 21596, 9055, 4112, 313930,
  37818, 163471, 108924, 39581, 2249, 13074, 7431, 75393, 127359, 35494, 111020, 59720, 209394, 14051, 37123, 41719,
  60044, 39589, 172595, 143831, 47677, 59508, 24424, 103244, 308089, 7173, 30716, 90486, 36791, 60870, 101299, 108569,
  154971, 20715, 53888, 53901, 31417, 53959, 2728, 97125, 6998, 145934, 80463, 20412, 150042, 45242, 187078, 7592,
  174360, 31180, 135274, 14872, 12255, 11730, 93361, 83265, 43009, 49328, 20215, 21789, 29335, 115863, 28254, 39036,
  48739, 17655, 180783, 12531, 3912, 8728, 149240, 87661, 101398, 77276, 44669, 83920, 53340, 37769, 16150, 114794,
  2580, 157793, 7167, 176552, 146939, 5647, 16877, 13855, 151295, 90625, 68053, 91363, 45360, 176357, 42521, 30918,
  125275, 57667, 44098, 88883, 15273, 61531, 4145, 110202, 45383, 253407, 75996, 20238, 27456, 20964, 4620, 8638,
  48761, 12194, 52351, 99825, 23314, 86104, 80185, 11840, 8750, 45404, 19895, 71824, 60801, 13493, 12198, 37669,
  85823, 77592, 114135, 4393, 104759, 210654, 28711, 86484, 27894, 35912, 20614, 184536, 123685, 134244, 44348, 10862,
  66968, 165136, 18647, 32424, 39480, 60719, 93213, 164629, 26917, 39935, 75223, 75930, 55290, 22975, 122323, 10513,
  83305, 99747, 19500, 77541, 2696, 77867, 101290, 65344, 98390, 12816, 83594, 39244, 57569, 8468, 34263, 35071,
  145853, 12146, 76941, 17746, 340733, 25910, 37273, 43127, 4919, 60464, 1992, 49562, 20024, 15497, 109739, 14126,
  52268, 76976, 6239, 8384, 30884, 19155, 135974, 107147, 7413, 64546, 38363, 186999, 203685, 81795, 108201, 36022,
  70989, 30403, 116774, 5379, 112855, 28461, 9025, 58269, 4129, 17604, 104476, 174522, 50536, 1225, 10900, 36288,
  349518, 20856, 101414, 45229, 68205, 77322, 197569, 10875, 332641, 23358, 85554, 14077, 159581, 34721, 18791, 98700,
  135361, 167675, 50000, 42501, 236026, 75571, 5992, 17097, 37563, 20166, 101652, 40721, 176404, 19063, 36155, 59023,
  64899, 33196, 98793, 70148, 6578, 69024, 242235, 52605, 122033, 81904, 12809, 15158, 63871, 107782, 1840, 4872,
  1850, 29779, 34125, 98682, 85234, 116592, 82990, 12554, 82089, 63993, 168833, 149888, 66124, 10489, 196009, 53058,
  74145, 69106, 89715, 51982, 121098, 13559, 95458, 107427, 107351, 113368, 3064, 70286, 12687, 4839, 22981, 48279,
  36881, 55099, 198175, 73274, 117334, 75733, 3562, 5484, 13136, 64209, 184119, 61973, 14698, 16622, 73579, 36910,
  85933, 42774, 90601, 40132, 93866, 19937, 45703, 23982, 18047, 5362, 11140, 39687, 32620, 25714, 60265, 77976,
  310, 77325, 31712, 280974, 15094, 86261, 43015, 13789, 46000, 100529, 1116, 137536, 88451, 20938, 134125, 17791,
  23632, 63779, 256927, 29623, 36645, 219053, 83430, 48090, 27940, 27300, 14780, 109338, 87618, 34615, 102225, 42200,
  80520, 6619, 74506, 194075, 58892, 76807, 27201, 60732, 20976, 110501, 170773, 84913, 27702, 21417, 5342, 72467,
  140090, 178520, 122111, 33447, 96075, 4699, 53512, 17029, 67841, 174853, 17388, 16526, 103292, 6179, 27759, 37717,
  238964, 22906, 23675, 59996, 87778, 65471, 88269, 10094, 107338, 46577, 43856, 31927, 17019, 15, 159648, 72870,
  83427, 14710, 153353, 15418, 67522, 32362, 44785, 3937, 7302, 108965, 41424, 55752, 8261, 138626, 43498, 8777,
  47570, 24353, 207472, 131958, 116787, 3156, 34108, 58412, 8730, 6898, 90267, 28837, 80484, 59214, 9439, 19087,
  61772, 5722, 23159, 81837, 174422, 59842, 18102, 171770, 56005, 80656, 119313, 22496, 131193, 22339, 3665, 14366,
  52875, 107272, 15645, 70022, 14588, 34482, 10876, 36184, 28471, 60828, 82588, 55312, 59817, 102390, 8845, 87428,
  9586, 17179, 96409, 90979, 15720, 107181, 33777, 113545, 158155, 4326, 32422, 188604, 51307, 29601, 10067, 16201,
  109734, 3998, 129448, 141025, 15196, 18904, 83270, 17683, 11025, 19743, 21493, 1552, 59331, 7581, 25652, 89130,
  3884, 119328, 75611, 26479, 52626, 13590, 195115, 6807, 102602, 52190, 72507, 52467, 84797, 6467, 2334, 47785,
  25158, 132580, 142359, 76578, 27314, 24766, 3969, 27500, 4437, 254621, 65367, 168149, 20488, 13843, 62310, 21136,
  76214, 12671, 23644, 139645, 189248, 55341, 3302, 14123, 35023, 48936, 11475, 55049, 114952, 51698, 297764, 80767,
  157376, 20881, 13336, 53207, 2827, 59849, 16592, 52991, 62439, 275657, 47305, 117196, 102878, 60777, 83027, 10464,
  129749, 26707, 251779, 125019, 36405, 33132, 25562, 70233, 10329, 28189, 12385, 71977, 109339, 157513, 195426, 70901,
  108633, 55857, 3229, 108445, 36662, 75267, 19054, 102039, 1254, 2391, 173276, 29374, 13267, 51771, 225351, 7237,
  5470, 98738, 14316, 209876, 87105, 107056, 16157, 44140, 58004, 88474, 31907, 11831, 15397, 11396, 39700, 90254,
  10434, 316, 22682, 60529, 159667, 46855, 41392, 55643, 21864, 20640, 1483, 48142, 52022, 14052, 14307, 23845,
  179464, 105497, 8112, 170979, 3013, 22501, 58766, 9748, 32147, 168407, 69486, 20613, 31496, 139990, 50815, 4616,
  116832, 5525, 13988, 136236, 18494, 72230, 42950, 16966, 105502, 65693, 12439, 22036, 129227, 24413, 66758, 60339,
  107267, 12682, 60700, 199944, 50033, 64809, 169, 18106, 13481, 63773, 97251, 21927, 9954, 10994, 61753, 132964,
  24267, 269121, 315805, 17090, 22141, 89553, 60, 41720, 16257, 267739, 11800, 148430, 116154, 107691, 1495, 7110,
  36185, 30330, 15572, 9879, 950, 164278, 12417, 189181, 115685, 238527, 61115, 3001, 11305, 185925, 125509, 80597,
  176708, 23407, 47313, 198512, 2048, 137403, 10323, 39029, 178671, 3975, 76003, 84147, 112573, 78996, 69042, 6992,
  287867, 46759, 5275, 30027, 162328, 18790, 274565, 55200, 497663, 89305, 12413, 26108, 95170, 13648, 15748, 78466,
  50979, 40335, 43390, 12453, 193861, 466, 66161, 87201, 50987, 94748, 32988, 22018, 30368, 175641, 225636, 53920,
  136257, 72869, 274820, 12673, 31830, 21228, 5225, 4705, 46549, 105854, 3199, 16143, 15119, 48337, 134864, 57495,
  169876, 45311, 13298, 54322, 23788, 14950, 42143, 49801, 17462, 217840, 101953, 63412, 249887, 9473, 75292, 729,
  57377, 66067, 6712, 114078, 1949, 92149, 44063, 86259, 35448, 19529, 20598, 19485, 14791, 73304, 47309, 366,
  43769, 14667, 98883, 25339, 210091, 45717, 49613, 6739, 3783, 165357, 28175, 87394, 34612, 90151, 838, 17747,
  282103, 59822, 30329, 68354, 88380, 37787, 19846, 9765, 245190, 63635, 236, 10025, 5457, 17502, 12156, 204683,
  20491, 39054, 8070, 50911, 98908, 99317, 12186, 49875, 11402, 152980, 22961, 22075, 86899, 34073, 14755, 13282,
  117916, 33225, 72465, 158235, 16028, 64557, 36732, 123058, 162584, 20479, 31391, 63733, 60644, 62683, 9917, 17310,
  320177, 239647, 43989, 8876, 156096, 31699, 114739, 105603, 31065, 78174, 95969, 9220, 55876, 38786, 58411, 214643,
  22000, 140310, 88748, 26085, 77655, 28585, 109281, 7624, 9992, 7234, 98903, 60178, 23397, 75321, 53549, 53032,
  13757, 109032, 64081, 19046, 317623, 1946, 71713, 62867, 63978, 3151, 56924, 47304, 215255, 182040, 74590, 48012,
  2443, 24268, 69427, 33, 17648, 12518, 40668, 140511, 93231, 72823, 28791, 47052, 27388, 55205, 30906, 57350,
  104529, 63338, 26728, 100624, 93807, 107269, 82876, 163825, 55505, 18547, 30605, 14974, 140477, 81686, 69012, 120278,
  12046, 5605, 47923, 212928, 112040, 108335, 21336, 38303, 70887, 143240, 19855, 87583, 40152, 15587, 66375, 29394,
  94365, 54674, 43272, 133291, 112353, 210955, 121711, 331352, 25063, 35707, 69840, 56454, 114679, 66792, 86743, 446056,
  266061, 12010, 82324, 96915, 71248, 22037, 64756, 25091, 119555, 13915, 28628, 6675, 15589, 106123, 53880, 102126,
  2244, 55885, 39035, 5738, 617, 441160, 19553, 2220, 14129, 86275, 107256, 166687, 211431, 81495, 104573, 290527,
  70110, 99357, 25187, 33256, 100652, 31225, 142056, 82578, 7777, 23449, 58276, 64423, 4383, 192266, 134799, 66044,
  85911, 76876, 90974, 103947, 89221, 15961, 109118, 116095, 21010, 92406, 79525, 73542, 120615, 156252, 287243, 95281,
  58357, 14409, 38018, 33736, 86405, 83837, 55695, 9631, 37554, 27881, 106045, 6071, 41647, 35485, 108389, 46354,
  18, 34159, 180231, 126085, 15143, 13910, 144853, 93597, 69662, 64563, 23068, 38208, 60491, 41204, 62238, 141119,
  14714, 38001, 3276, 56189, 186134, 91982, 65866, 6904, 148344, 128140, 61946, 3683, 42347, 4969, 38485, 12705,
  5410, 78157, 91933, 103926, 168175, 15606, 288735, 6045, 44535, 20558, 34571, 13823, 42449, 6093, 11546, 37307,
  343894, 81874, 112517, 50738, 129417, 141962, 5390, 118181, 99682, 16804, 16660, 107424, 20659, 45287, 22461, 55188,
  27272, 10167, 12088, 17401, 140483, 17330, 78850, 45339, 63455, 16978, 199211, 80486, 222159, 13457, 1094, 18869,
  17536, 103284, 31050, 17962, 13722, 71867, 76368, 286932, 42637, 10567, 2, 199412, 62324, 36676, 8181, 6401,
  11976, 162, 87196, 78376, 114691, 1307, 30802, 3711, 148109, 74365, 57920, 81357, 2283, 214679, 12573, 18531,
  32057, 44583, 212119, 44264, 182393, 154286, 35753, 8258, 4295, 13186, 83291, 4736, 147364, 121944, 59024, 73352,
  33705, 31001, 88498, 32882, 2075, 163404, 10634, 11500, 44303, 65212, 13112, 34394, 30274, 20847, 64779, 22883,
  28331, 12500, 41997, 11945, 63740, 75992, 39703, 69806, 69740, 66087, 128693, 81128, 29148, 111583, 148435, 31535,
  10346, 159917, 58414, 28273, 44862, 59, 33364, 21068, 33716, 46470, 1804, 73963, 73937, 219049, 103305, 218321,
  153333, 233125, 63775, 105390, 12930, 127548, 60730, 109562, 38784, 53330, 627, 73923, 247159, 30199, 38362, 48641,
  2515, 19205, 34500, 48846, 41053, 21212, 105356, 15212, 20256, 3616, 21849, 17211, 83368, 97044, 352396, 108368,
  256189, 196693, 4226, 14922, 54639, 25114, 35849, 320, 115240, 41400, 60330, 23377, 5096, 75542, 3178, 56889,
  24661, 12431, 135214, 63314, 175419, 239496, 41215, 13379, 153552, 73270, 37517, 105147, 26516, 27776, 68242, 1357,
  141, 71029, 155582, 76053, 138176, 8168, 4134, 134075, 63885, 2519, 46027, 51951, 34115, 79709, 5576, 10203,
  47222, 15435, 34313, 43154, 55709, 9408, 82175, 88231, 2765, 52283, 66501, 65412, 28479, 574, 36643, 57430,
  38875, 293893, 16069, 28162, 236608, 26442, 8613, 1622, 12229, 37482, 74496, 33264, 22921, 79056, 39384, 129956,
  77291, 20463, 58349, 109725, 54426, 106360, 47581, 90881, 45388, 31487, 128197, 71530, 2860, 39582, 46028, 81826,
  57787, 259117, 67523, 307547, 114579, 104215, 18723, 115699, 295139, 4428, 43172, 26618, 105782, 14781, 30313, 18939,
  17826, 45064, 69594, 13204, 71066, 58366, 15231, 157682, 19119, 15787, 91984, 89607, 54364, 23607, 79019, 145509,
  69385, 6604, 40313, 81481, 16568, 32756, 79187, 77128, 12323, 56725, 270449, 8124, 28057, 84040, 65629, 72616,
  33346, 127078, 185998, 104454, 34919, 182273, 14609, 19947, 124763, 41923, 73459, 52863, 155533, 54653, 13742, 70467,
  101386, 30438, 9573, 50346, 31644, 14370, 50550, 451, 8627, 280645, 27470, 64783, 49001, 44841, 60011, 84880,
  303600, 29723, 249679, 20808, 29868, 17505, 9061, 24139, 63213, 37901, 19817, 58724, 9103, 3211, 42909, 2761,
  77280, 71424, 62334, 7307, 71333, 27508, 6331, 83663, 9696, 179679, 27464, 32253, 138789, 36870, 23709, 126072,
  37059, 130604, 83178, 283517, 24823, 22443, 72508, 24678, 5057, 22926, 13846, 74055, 21352, 14335, 3461, 51988,
  32368, 11407, 71381, 7895, 114208, 12515, 35745, 29717, 56803, 108507, 67583, 54834, 19424, 38668, 35778, 15261,
  10445, 67937, 56244, 3340, 58514, 22440, 11243, 68666, 8661, 40929, 111708, 37637, 209508, 124495, 206903, 91080,
  26187, 11633, 66771, 30871, 171838, 197948, 8289, 57706, 10460, 80625, 36923, 31612, 63454, 35105, 59184, 7032,
  14016, 40322, 27055, 86917, 122504, 79371, 130575, 6177, 41328, 5209, 78779, 4821, 21329, 41539, 62219, 83753,
  46618, 7613, 15027, 118360, 32493, 225969, 819, 120335, 38225, 84581, 17131, 15188, 7855, 3105, 30340, 78018,
  31763, 5801, 31461, 10241, 7945, 13882, 30152, 4527, 29876, 21438, 25462, 64433, 8734, 24877, 74945, 14455,
  6438, 107317, 52662, 50955, 24205, 109805, 38229, 13383, 97490, 25051, 32380, 7096, 139977, 101853, 1428, 42064,
  130740, 33630, 82143, 110070, 47323, 64635, 163313, 6594, 33195, 6607, 12008, 3521, 85390, 10031, 28761, 7750,
  57194, 65848, 171501, 76792, 13813, 65534, 81423, 13132, 60600, 4409, 31583, 87558, 21313, 106333, 155905, 153496,
  96251, 3406, 49514, 9434, 7699, 87327, 46359, 66114, 27584, 74162, 19886, 252277, 170521, 22092, 82253, 115261,
  139271, 47533, 52680, 202618, 1363, 11026, 363255, 99673, 4402, 33612, 20302, 28039, 336738, 1226, 38272, 13620,
  129223, 13205, 3958, 19963, 84983, 18752, 42515, 68608, 69150, 39813, 30549, 41506, 13147, 4080, 5087, 15836,
  3590, 70019, 16566, 11738, 163929, 27964, 83106, 22713, 207225, 34956, 53824, 5181, 155260, 90376, 13809, 102964,
  55916, 44273, 1261, 26537, 20288, 96003, 17325, 62927, 4503, 126513, 63919, 15556, 8398, 46320, 36814, 33274,
  98490, 42874, 152755, 42575, 11773, 27872, 33828, 220575, 27512, 172804, 16418, 95543, 37113, 708, 88986, 499,
  84976, 72480, 35781, 122997, 86558, 582, 113958, 53612, 28365, 4495, 11592, 12890, 11756, 81693, 108202, 42686,
  116005, 805, 108429, 99193, 182148, 10373, 83443, 91669, 13733, 56065, 75316, 204077, 115313, 322052, 15302, 23067,
  47644, 13460, 67103, 57307, 67208, 156322, 235278, 94136, 85069, 1418, 167462, 56633, 9347, 2641, 44606, 21287,
  14995, 12747, 17526, 494, 226141, 75964, 18039, 39483, 14704, 59304, 1316, 195645, 101835, 141208, 116613, 223219,
  41159, 49846, 61222, 43002, 35314, 80457, 23691, 63429, 13113, 36373, 32330, 8361, 63526, 11029, 32963, 93376,
  214039, 18769, 114006, 1087, 29978, 114423, 64428, 31774, 50446, 49295, 34202, 73765, 83339, 74913, 27287, 43834,
  17440, 83606, 93489, 60736, 129441, 57951, 84464, 118033, 72522, 2386, 5028, 276747, 118641, 55191, 48057, 16621,
  97816, 39006, 3084, 207838, 24907, 92233, 46363, 526, 73844, 2610, 25911, 60919, 15717, 85425, 136040, 70858,
  118884, 18348, 172680, 47190, 167255, 11777, 29552, 95596, 96509, 115491, 19228, 15022, 162793, 7055, 54334, 45726,
  30847, 5690, 94006, 54915, 36849, 132591, 172983, 1103, 51297, 9369, 114578, 16962, 78974, 112537, 1229, 44919,
  77793, 29231, 3317, 48815, 10427, 19768, 100349, 70835, 1873, 26539, 93804, 85247, 2972, 161694, 16704, 323037,
  9999, 22014, 49315, 152394, 35074, 21009, 44279, 9515, 28190, 8647, 79457, 53333, 64297, 16040, 25316, 4727,
  146836, 234761, 5304, 67997, 46298, 88700, 122826, 40595, 60038, 132292, 15881, 9158, 163007, 47825, 221096, 91414,
  108919, 98428, 57919, 266818, 61219, 43879, 63697, 17096, 2403, 17970, 81556, 16083, 75022, 59692, 100052, 43977,
  127339, 40049, 119563, 17907, 4233, 35651, 47435, 66632, 110389, 15505, 25565, 177269, 69022, 40996, 21600, 19932,
  9833, 15084, 84838, 139091, 128097, 47428, 7050, 1360, 88016, 32635, 67695, 9688, 79390, 38684, 76616, 96096,
  222936, 46245, 114060, 64752, 22570, 74272, 1778, 64322, 94657, 115063, 64956, 78933, 28462, 67295, 52520, 30887,
  56956, 34609, 42753, 10281, 38803, 27122, 98080, 117097, 81536, 9071, 86592, 83849, 30474, 44691, 14751, 101014,
  152794, 5331, 6917, 12448, 19566, 55177, 112969, 39493, 16481, 84170, 80483, 83854, 147408, 10964, 69929, 25567,
  74574, 33765, 31137, 41456, 81895, 68446, 44249, 35692, 20731, 44729, 68861, 17500, 1918, 8121, 12733, 11511,
  1366, 110805, 162699, 45509, 76367, 53890, 22608, 6608, 187321, 92727, 87863, 8920, 54494, 50474, 3355, 13177,
  24366, 3750, 4900, 105058, 21690, 24548, 61391, 41587, 61696, 71254, 21133, 115118, 33283, 43646, 8976, 11273,
  107477, 5228, 145257, 193829, 77499, 89840, 14294, 15416, 31112, 552645, 70476, 18585, 414383, 91301, 197650, 85075,
  74362, 201919, 31008, 6857, 18463, 18747, 80565, 258617, 218441, 23173, 30916, 2323, 120929, 143751, 107064, 20153,
  59848, 60391, 289834, 31449, 258629, 45824, 75786, 49114, 201924, 23563, 35265, 68991, 69269, 10313, 17390, 67981,
  454, 162917, 7572, 144990, 19989, 55673, 279099, 65066, 13054, 54343, 55277, 3568, 59894, 15271, 53443, 417392,
  3623, 434, 45943, 1256, 58908, 173322, 64122, 81605, 20681, 59366, 25442, 39040, 35723, 390351, 35866, 146738,
  78523, 61914, 82593, 35139, 102680, 249269, 46578, 8727, 38988, 4624, 48520, 58695, 184112, 2027, 12940, 80034,
  108087, 27491, 213336, 944, 50944, 22396, 85571, 42349, 132704, 181305, 10849, 1371, 52966, 36306, 27461, 21214,
  21699, 5289, 15632, 19188, 18860, 17496, 112885, 63208, 96349, 12436, 34610, 13227, 201411, 150107, 21944, 52213,
  82697, 377613, 11201, 44987, 85395, 150187, 38121, 21649, 95658, 8788, 60763, 9623, 5093, 194516, 47673, 70064,
  6427, 97874, 32248, 15210, 177894, 45245, 129556, 10575, 44191, 36758, 23545, 141857, 32755, 22539, 162901, 95737,
  26961, 59210, 28436, 11081, 155739, 67439, 17384, 48388, 6249, 69756, 55378, 34764, 31310, 113162, 97192, 14330,
  81030, 18838, 35438, 13932, 26574, 120400, 101846, 130645, 84311, 174890, 23927, 28384, 120155, 7519, 67818, 55584,
  86730, 120665, 55022, 167671, 113535, 159014, 209287, 66396, 7424, 10800, 50330, 93120, 48888, 11155, 16081, 102627,
  13516, 33788, 137813, 74841, 45747, 35841, 21356, 6047, 98098, 4647, 73346, 95355, 20077, 37795, 143033, 12452,
  183995, 86627, 142356, 34744, 81945, 11420, 26913, 10645, 43210, 5817, 54484, 55730, 26704, 91611, 17668, 52476,
  40420, 51581, 44960, 150119, 75831, 205414, 177424, 80186, 45648, 15047, 63973, 15971, 11180, 3401, 50574, 45327,
  6855, 127, 294368, 30972, 57927, 224035, 22536, 5728, 65528, 17692, 2498, 20700, 124096, 78896, 81810, 53646,
  34851, 17737, 67858, 144208, 2598, 69506, 82387, 32829, 156633, 1376, 87537, 38787, 107572, 47042, 34484, 111751,
  127352, 97800, 89687, 4576, 38169, 10102, 247669, 1385, 123845, 61475, 17048, 8281, 60142, 15760, 189275, 5043,
  62722, 70423, 23446, 224950, 105584, 6317, 280103, 26981, 232364, 55457, 64267, 136900, 23211, 118951, 845, 54134,
  68120, 21238, 286023, 351719, 1601, 9442, 185113, 17851, 22169, 76287, 138957, 35304, 89299, 75522, 56601, 68253,
  747, 100548, 4081, 2246, 258039, 9694, 51725, 15738, 80572, 37864, 139906, 92854, 7258, 4446, 72431, 8572,
  152249, 3376, 43649, 25854, 11862, 510329, 182162, 28232, 101204, 130724, 77756, 137694, 8834, 65401, 19289, 56727,
  121434, 112217, 15745, 51403, 33761, 31323, 43153, 136892, 19175, 85899, 25269, 38059, 133142, 52989, 1777, 1223,
  46343, 18613, 28695, 87511, 40178, 223203, 15033, 135709, 48723, 7442, 84744, 52715, 3589, 26620, 71258, 37458,
  41977, 8646, 41763, 91920, 30210, 33735, 64017, 14173, 38868, 120841, 22212, 152812, 62257, 17607, 2045, 16253,
  10087, 16559, 33187, 61003, 82658, 60687, 45996, 131329, 87827, 28306, 207690, 248902, 90646, 20868, 109813, 9386,
  16415, 77631, 94695, 12715, 47552, 53324, 61324, 84409, 351723, 34328, 65573, 16236, 28298, 8448, 4731, 7418,
  72225, 87876, 82665, 6012, 91146, 32182, 85776, 95303, 272760, 52003, 18667, 6217, 1701, 78472, 2900, 125100,
  11295, 44716, 79152, 6181, 1652, 8164, 31057, 77402, 109651, 90467, 194601, 7484, 300747, 17565, 61525, 99466,
  51863, 9753, 72732, 128898, 198800, 907, 5759, 42875, 29446, 20325, 107060, 165430, 11794, 312, 5807, 20106,
  32345, 138270, 25904, 39695, 37538, 97877, 31477, 37750, 22356, 11523, 124253, 73049, 33102, 10210, 142709, 60863,
  37590, 128516, 64551, 64303, 113544, 313515, 181738, 31113, 37970, 55419, 66610, 21171, 11478, 7770, 228067, 47156,
  179743, 798, 147431, 50652, 25454, 19412, 37683, 4903, 103417, 111432, 203788, 3756, 59905, 35566, 26345, 21937,
  221970, 77922, 9738, 6303, 105196, 61175, 21598, 10726, 145604, 59463, 162519, 29420, 7817, 116768, 16102, 128966,
  164809, 62009, 21801, 6296, 102360, 37967, 27376, 20294, 16974, 106654, 129570, 55893, 75840, 88896, 68684, 52692,
  255333, 13102, 29474, 23608, 56902, 95016, 21221, 14815, 6659, 24894, 19248, 23158, 1954, 30789, 75920, 14310,
  645, 139270, 54809, 114378, 59400, 18159, 138353, 504, 67769, 40337, 187608, 1166, 7689, 50368, 74658, 121130,
  18675, 55085, 92265, 193168, 5215, 27373, 68051, 32611, 13793, 36800, 37117, 18010, 20536, 292596, 68283, 17340,
  27852, 177093, 366025, 172, 3387, 59699, 119854, 49684, 29523, 615, 8943, 120515, 259718, 38781, 65830, 116121,
  16860, 30836, 32413, 2567, 94625, 94075, 101496, 152484, 43143, 15550, 8257, 43438, 29245, 8300, 137692, 67582,
  15848, 41480, 7018, 78578, 233581, 95833, 94811, 680, 22685, 16034, 79357, 33983, 63631, 172275, 30827, 99510,
  78557, 35720, 123406, 2852, 22836, 77392, 107120, 19910, 133302, 7738, 237843, 59764, 84513, 10802, 76294, 191768,
  1348, 1723, 835, 44328, 51826, 15011, 147582, 11622, 47129, 100405, 10694, 21708, 98836, 9941, 210066, 1364,
  58284, 76266, 30451, 238107, 1830, 218, 64337, 500320, 1749, 129373, 99321, 63068, 94642, 60327, 22930, 25615,
  10933, 11881, 32269, 125198, 6145, 6468, 88776, 9729, 12506, 25930, 46197, 67476, 10975, 30498, 22641, 6110,
  13879, 228714, 189675, 30112, 103781, 142137, 12074, 72148, 144434, 17332, 1205, 55723, 10268, 84346, 739, 7900,
  28409, 142772, 86335, 34405, 32346, 5957, 99727, 159495, 52968, 69914, 49976, 116713, 121567, 45867, 1035, 114241,
  107374, 16112, 22042, 28431, 77268, 110960, 20030, 87679, 23686, 164921, 11944, 46255, 35097, 13908, 12674, 144017,
  10501, 8182, 68576, 13277, 155275, 111289, 84842, 25219, 15303, 77277, 85173, 34541, 47136, 169489, 134845, 66303,
  21102, 68903, 56191, 22964, 168741, 12959, 7590, 12803, 55332, 44576, 35459, 106903, 90385, 5415, 140923, 1080,
  15996, 137579, 8958, 18617, 84817, 54000, 41832, 10520, 681, 67009, 192636, 36305, 137803, 34054, 76848, 21244,
  25054, 15186, 30898, 30597, 142275, 43375, 42593, 28736, 6163, 62732, 73310, 84072, 38175, 49734, 9130, 100431,
  8056, 31178, 23491, 108251, 124296, 54748, 48773, 67591, 240642, 30480, 55118, 280935, 65621, 36603, 32046, 51350,
  4934, 31903, 121291, 176064, 178205, 68901, 29505, 71720, 16101, 99503, 28716, 1623, 62803, 17988, 139992, 3625,
  60964, 35799, 20217, 10717, 18230, 122058, 97858, 147682, 100622, 42915, 18203, 67908, 76465, 68188, 84589, 230422,
  44689, 25437, 16646, 1939, 14545, 62476, 16816, 55294, 9543, 86343, 30341, 131304, 47514, 35443, 171825, 56555,
  16852, 117154, 33897, 115642, 93380, 27861, 5302, 4455, 28048, 30630, 34058, 166130, 12047, 143095, 91785, 86862,
  107106, 33521, 3018, 20571, 37575, 98074, 42118, 36747, 101485, 21122, 7995, 35412, 77047, 174662, 44717, 27754,
  57326, 45416, 100544, 40237, 34819, 147882, 8009, 40696, 96137, 22034, 12537, 89019, 76916, 16381, 260347, 20562,
  6469, 99814, 6504, 8878, 46264, 28993, 135328, 351396, 115983, 162985, 9453, 27223, 75768, 129072, 94641, 114365,
  87668, 163393, 133224, 129378, 69942, 52468, 102771, 87719, 13027, 63666, 4880, 269088, 165, 102664, 209256, 8459,
  8373, 115431, 33913, 89243, 114231, 39718, 48970, 84535, 26434, 89763, 13534, 52518, 52844, 4523, 118415, 84250,
  42799, 85012, 51296, 129398, 182044, 164191, 23430, 172125, 23580, 17068, 100097, 165599, 146254, 103774, 23886, 5517,
  38081, 6556, 39590, 7165, 43236, 9564, 11470, 79503, 33883, 6422, 32630, 507, 146220, 14032, 54871, 27774,
  382894, 111499, 100220, 85905, 14606, 67028, 127208, 96410, 46035, 45103, 89938, 72023, 36481, 10463, 84711, 2184,
  166621, 34621, 71767, 6005, 35417, 18397, 12328, 6245, 95382, 74094, 6382, 42236, 2957, 19896, 58715, 27397,
  59384, 32742, 2546, 93465, 60428, 48668, 29303, 20252, 36358, 149322, 3193, 36701, 66343, 73618, 24279, 42201,
  75378, 214932, 112583, 62412, 22267, 87725, 1442, 11196, 22950, 229298, 116569, 171221, 83528, 29153, 38927, 69087,
  17577, 73532, 64199, 281267, 56474, 107520, 35241, 9230, 25285, 16464, 54961, 820, 4619, 89654, 59498, 85252,
  179691, 2434, 26357, 9414, 75355, 113594, 58673, 61757, 95836, 68318, 54415, 28188, 53295, 26258, 1129, 9855,
  34588, 10951, 29459, 270568, 171410, 122449, 84225, 40183, 4487, 93745, 119118, 40504, 14679, 59040, 261948, 112143,
  84208, 36024, 77263, 53688, 44015, 109308, 151516, 53139, 18562, 27509, 122, 78679, 109133, 27618, 9307, 11687,
  54101, 37528, 73589, 23837, 11531, 15405, 27569, 34097, 86052, 88898, 452968, 106351, 174479, 16086, 12337, 33522,
  303157, 114465, 20251, 93451, 28095, 29793, 32562, 4865, 9953, 17465, 73959, 11715, 35642, 25146, 120955, 73779,
  14564, 70652, 194775, 127647, 39802, 8232, 15171, 32361, 16145, 146754, 54118, 51290, 77606, 61329, 94469, 20733,
  117406, 168386, 13963, 5919, 53038, 27673, 29890, 70790, 121117, 125451, 109176, 9417, 53624, 27539, 61759, 90921,
  22062, 12907, 8858, 21259, 1212, 82256, 83446, 126781, 7632, 49742, 4924, 99538, 127157, 121931, 106183, 86599,
  237292, 72098, 87000, 4747, 189087, 63407, 75261, 28941, 10478, 97792, 6128, 23277, 127345, 38013, 46884, 1492,
  102515, 12723, 3978, 16950, 181997, 58167, 67025, 121398, 86752, 24702, 76144, 13670, 87623, 143137, 34358, 58216,
  10966, 15260, 79095, 10693, 121602, 149602, 4024, 88047, 68783, 112717, 12525, 7881, 68681, 9491, 38696, 70997,
  83042, 12348, 7661, 10266, 114380, 152092, 105889, 5453, 138349, 17021, 6772, 17024, 191305, 9666, 12566, 121832,
  67176, 6357, 20860, 13799, 50085, 58837, 33490, 31519, 39016, 25779, 4404, 75055, 1427, 51784, 37042, 40467,
  42384, 128165, 26665, 15628, 1412, 114798, 10282, 15463, 67118, 108331, 37941, 49355, 122616, 11721, 123403, 55963,
  72389, 45854, 157529, 86342, 25260, 17774, 101303, 13857, 2237, 12444, 17435, 9912, 13576, 18041, 9931, 109677,
  137346, 2419, 5631, 153579, 19938, 7345, 26359, 32429, 20304, 111232, 63629, 62874, 2191, 41851, 33540, 17568,
  68759, 206421, 20421, 8918, 5373, 10979, 52747, 28961, 61364, 35687, 21405, 9253, 238507, 56648, 20973, 119843,
  75814, 58786, 192, 23147, 23931, 351555, 317690, 34008, 69565, 12383, 22156, 37312, 38993, 98373, 54103, 108574,
  131741, 105495, 23252, 10516, 38364, 418691, 1022, 31867, 12528, 57830, 10554, 28925, 87762, 73786, 45238, 3871,
  5679, 49309, 1866, 15962, 129853, 7444, 10743, 34937, 5310, 18691, 186923, 15486, 186831, 78192, 56399, 34869,
  32653, 116247, 7899, 91437, 90338, 131084, 26080, 707, 260176, 152285, 65289, 108488, 389531, 49652, 28839, 250236,
  108118, 976, 52394, 48642, 26843, 1434, 7539, 14145, 43985, 32680, 56851, 16604, 50175, 15484, 133420, 201965,
  30563, 171323, 10408, 5106, 25106, 3832, 22052, 30595, 56965, 126120, 10162, 79454, 18130, 125828, 52128, 6763,
  140428, 50288, 3359, 75168, 4542, 67789, 21815, 25917, 165503, 152273, 62307, 3497, 117991, 32786, 40567, 896,
  24219, 83611, 40133, 65241, 229605, 317863, 103959, 90507, 1819, 29545, 15591, 32868, 129663, 93792, 44783, 13032,
  1240, 5795, 26358, 21931, 3797, 229975, 8527, 45899, 76093, 223890, 32636, 329905, 18398, 40622, 43735, 5700,
  71339, 108607, 70873, 19592, 51919, 16423, 4832, 81475, 93043, 49045, 105473, 57292, 27175, 161447, 88028, 82073,
  47060, 1862, 6336, 34528, 216257, 49542, 1523, 13933, 6483, 12498, 143270, 12904, 35051, 32513, 38643, 137631,
  1217, 10305, 15169, 34487, 16512, 91140, 101318, 54337, 80798, 39094, 72004, 164938, 129064, 45885, 110177, 68422,
  13225, 211848, 134863, 65992, 69339, 9421, 7754, 97572, 8548, 19362, 46011, 26566, 237079, 65134, 52432, 108604,
  72298, 156269, 99270, 75206, 2575, 146135, 49731, 81094, 34280, 39812, 5510, 134730, 51379, 103016, 61853, 94676,
  117910, 64, 7934, 95122, 55671, 3205, 58333, 173791, 53345, 20418, 92151, 39998, 247552, 69993, 40897, 8758,
  29486, 48394, 44428, 19361, 39328, 12796, 110850, 20923, 140821, 98505, 27484, 87170, 34681, 8696, 6881, 178272,
  57045, 10428, 21956, 22625, 60177, 192367, 30337, 97408, 5004, 22803, 112181, 36456, 90269, 45503, 47341, 44581,
  78522, 63489, 59424, 114517, 2479, 35959, 56238, 267536, 322607, 86378, 13479, 1160, 48474, 6182, 17033, 29824,
  61296, 57555, 82202, 35730, 13057, 15270, 72386, 73223, 31558, 45570, 36450, 117667, 4678, 14390, 62433, 28769,
  59271, 15277, 15374, 25119, 6699, 9480, 26668, 33155, 27044, 64427, 178, 36692, 31988, 5800, 18108, 209160,
  35944, 71154, 35918, 167895, 12503, 1771, 16989, 56793, 83480, 39460, 212938, 8159, 4389, 5594, 58690, 40182,
  136508, 1899, 67361, 119842, 3781, 42329, 32531, 37520, 114121, 97367, 52218, 49794, 70279, 62339, 116961, 90247,
  4488, 183020, 1828, 43025, 155829, 86696, 4847, 194990, 42214, 37848, 22958, 11578, 2898, 43626, 50811, 14189,
  68191, 47328, 4117, 163237, 75695, 118135, 64031, 37784, 305850, 99832, 84067, 112381, 45041, 38270, 15120, 240636,
  74344, 6693, 36080, 91318, 106509, 219791, 38255, 7554, 30087, 101966, 6713, 51615, 17429, 102583, 207618, 156,
  93292, 28386, 62288, 34520, 12477, 25385, 50776, 72166, 290, 7825, 17764, 23980, 23080, 74965, 22645, 203791,
  114802, 45119, 156694, 216, 35714, 42020, 117883, 147910, 18751, 59077, 92531, 63106, 26554, 23194, 21689, 105051,
  105424, 2395, 22296, 6139, 17775, 18788, 78110, 84290, 2144, 18630, 17328, 34740, 2412, 84397, 47585, 9344,
  100610, 186751, 213784, 22382, 65192, 94882, 115271, 162177, 113975, 16918, 4108, 47999, 52975, 14387, 51692, 40643,
  180272, 25467, 117999, 146655, 135050, 1246, 11255, 45090, 129815, 13155, 69900, 30778, 76238, 51833, 50960, 175019,
  106483, 105526, 121590, 62888, 21440, 37725, 6971, 74563, 63186, 4385, 6132, 28738, 4260, 7667, 208949, 44659,
  46189, 4885, 2107, 8295, 9711, 33755, 18758, 47913, 28249, 76357, 33947, 20500, 4169, 156995, 46268, 30937,
  23429, 30285, 10916, 52362, 23390, 2897, 68316, 35544, 8324, 51699, 132392, 78433, 141585, 44776, 84808, 4462,
  63809, 59925, 104776, 132583, 67668, 101503, 35715, 119985, 38457, 47365, 56836, 187538, 38063, 17773, 101921, 26244,
  39226, 27892, 7402, 164108, 59972, 87376, 323527, 169672, 1189, 114898, 48985, 100235, 203916, 95, 21963, 6130,
  62368, 812, 54658, 54753, 14403, 18099, 9204, 80661, 16949, 16703, 239430, 18692, 61767, 58048, 87844, 125829,
  85801, 177571, 8915, 209065, 1739, 136288, 19402, 9552, 40147, 51786, 57185, 93178, 35049, 55789, 6563, 35663,
  76757, 32960, 20303, 80517, 33124, 173105, 7464, 51755, 62102, 25470, 21379, 115520, 15780, 117655, 47580, 25076,
  103593, 140889, 141531, 170341, 103009, 155483, 236319, 50667, 53484, 1496, 133657, 34260, 22952, 46940, 6610, 65362,
  67973, 155084, 121252, 1114, 114645, 46684, 81892, 70092, 6566, 122003, 120281, 934, 5245, 88201, 9873, 128289,
  50462, 186108, 122319, 93482, 7601, 179944, 197940, 172496, 8288, 2228, 103865, 63562, 3513, 16971, 44832, 8458,
  194571, 18586, 21840, 94414, 80276, 279833, 284818, 117971, 1908, 62558, 8177, 5618, 54592, 34875, 38914, 80151,
  5124, 5315, 93652, 14782, 58571, 5164, 45076, 67898, 2513, 49234, 56032, 253677, 6800, 85426, 46580, 21278,
  273997, 56465, 57545, 120308, 193904, 19317, 27718, 67291, 1119, 22758, 15825, 65236, 17991, 81823, 6750, 11437,
  117245, 9177, 63553, 197299, 2508, 97808, 35037, 55401, 129156, 37796, 50612, 379962, 82366, 53364, 48505, 19654,
  26278, 19171, 20254, 13206, 71465, 142569, 27518, 4583, 63341, 506954, 106046, 14062, 56943, 1023, 4159, 99329,
  39662, 25053, 62754, 40102, 106116, 281486, 54055, 90158, 94966, 45145, 149583, 64918, 156875, 121779, 78151, 69085,
  9736, 35396, 9131, 26784, 2204, 8896, 115808, 87466, 122308, 77182, 75953, 30431, 94418, 20569, 21625, 175,
  27134, 19042, 38016, 95890, 1280, 29709, 5584, 120804, 24539, 41701, 33794, 262040, 49022, 72657, 12577, 34963,
  45314, 122802, 119410, 33620, 3764, 35300, 297940, 221821, 50904, 31890, 33498, 679, 46424, 24998, 9549, 17126,
  30699, 3402, 46901, 107591, 28087, 48118, 17943, 10684, 293839, 72628, 116809, 24752, 9400, 43553, 51404, 46957,
  33646, 107115, 59781, 66313, 40165, 60892, 19582, 17483, 822, 7964, 22063, 57161, 147499, 47679, 50833, 9574,
  50263, 102698, 56893, 336655, 116179, 23193, 11473, 52072, 29085, 2120, 164190, 67171, 11863, 14812, 284781, 18622,
  31314, 107961, 27863, 20352, 5578, 15425, 16772, 6733, 17797, 45919, 177948, 52326, 5104, 101129, 118088, 134374,
  12454, 238986, 175627, 243562, 1604, 162707, 28340, 5806, 15342, 103576, 54301, 104313, 219206, 110037, 13405, 101976,
  10232, 224569, 40292, 169439, 67800, 219782, 23823, 58633, 94261, 4775, 217506, 19292, 25872, 158455, 309664, 54744,
  13565, 217649, 145860, 19153, 90339, 68476, 52350, 11091, 78971, 60510, 6347, 95417, 75377, 62774, 238643, 45079,
  26649, 121377, 31224, 120575, 41184, 92773, 38918, 55073, 47695, 123557, 42923, 124821, 11514, 104093, 123806, 114651,
  35369, 65591, 36023, 60482, 20767, 40839, 12635, 10552, 14227, 109847, 53556, 40945, 41953, 4497, 82444, 74167,
  309396, 11706, 101696, 39123, 148270, 9459, 44262, 20639, 147938, 46790, 89576, 30166, 33074, 58222, 75050, 18854,
  14453, 79479, 32094, 56822, 27499, 8684, 27993, 15551, 109019, 360070, 45828, 143786, 39018, 134316, 51248, 33214,
  25738, 56409, 48044, 5319, 240196, 56286, 31884, 103159, 158931, 46088, 113738, 5489, 52820, 62007, 122208, 50310,
  8612, 192204, 14081, 25757, 95853, 28293, 144772, 72058, 21524, 28179, 52909, 10275, 137010, 29363, 50509, 211571,
  84901, 15663, 36633, 159109, 70869, 102773, 15903, 250288, 70021, 118, 136728, 103089, 116794, 6302, 4006, 31162,
  48404, 98849, 21638, 10331, 38771, 92331, 17759, 19077, 6732, 77161, 31843, 1947, 1070, 61852, 19400, 133326,
  70990, 71182, 53741, 56003, 187297, 38802, 52928, 47866, 49140, 42448, 132456, 52558, 5238, 95978, 34737, 124934,
  576, 52602, 99772, 2211, 3564, 107992, 7854, 37619, 253975, 33502, 97130, 7194, 16027, 44625, 176640, 70109,
  16483, 69386, 84445, 189507, 2811, 2911, 42607, 29686, 37775, 48856, 7024, 32934, 19034, 21522, 16906, 106835,
  25259, 237775, 26587, 28815, 4053, 8604, 55942, 126681, 2000, 45110, 26993, 6934, 70083, 18404, 97123, 242951,
  95774, 28200, 35245, 126075, 19713, 54541, 26771, 41892, 33431, 6278, 43932, 28670, 92703, 22776, 5711, 39966,
  91314, 25582, 90115, 25964, 42381, 57282, 8595, 60098, 288770, 91568, 25698, 84737, 48194, 43690, 3154, 56885,
  95985, 54802, 176675, 182814, 3991, 18462, 12526, 110444, 77418, 13087, 68801, 15335, 13406, 7781, 13313, 67395,
  241328, 90575, 70480, 44887, 245086, 30235, 7491, 81635, 56533, 280976, 128226, 12240, 35275, 20723, 261812, 18827,
  62725, 32865, 19772, 70441, 9246, 31671, 4690, 16830, 51924, 18082, 12155, 52604, 70181, 56355, 9343, 45521,
  95331, 89906, 123743, 26046, 16163, 794, 32226, 38434, 31410, 124030, 18573, 21412, 79016, 51513, 69499, 483,
  39312, 5830, 39528, 16907, 120878, 146499, 169663, 2790, 119371, 14322, 112030, 52038, 275987, 14651, 179020, 32135,
  80124, 13936, 24740, 53966, 27712, 86684, 12262, 6516, 9186, 18255, 29820, 140583, 220, 99643, 29371, 88024,
  23598, 104635, 329921, 84019, 146167, 73134, 35547, 58064, 85209, 47039, 3925, 35890, 68238, 152444, 111395, 26790,
  282190, 22569, 83839, 77937, 57048, 132950, 95253, 79911, 31273, 2689, 38285, 60446, 30555, 86725, 98060, 37473,
  80913, 23265, 231272, 356070, 17594, 117027, 84460, 79300, 75779, 181354, 106863, 2092, 59160, 174624, 41803, 31994,
  135002, 52912, 60077, 41514, 101219, 16751, 143391, 28891, 189377, 73103, 110543, 14827, 29225, 18801, 72180, 15635,
  96735, 20123, 8653, 54778, 60126, 24504, 72006, 22210, 62522, 119650, 6858, 20841, 104000, 97893, 37534, 99349,
  27620, 55847, 127814, 128781, 86814, 56767, 22957, 8365, 17240, 17411, 175172, 58526, 147533, 178431, 17806, 93628,
  11001, 10386, 11849, 45857, 5425, 535, 4471, 45522, 43682, 11326, 69505, 150707, 410, 109497, 103689, 22109,
  49460, 340469, 41561, 30428, 87270, 69036, 297676, 195760, 69480, 40499, 5201, 173640, 46315, 3997, 90953, 30510,
  59448, 243249, 347379, 83361, 1816, 4707, 31440, 4789, 76201, 1555, 28507, 130215, 9431, 5428, 7565, 108357,
  11788, 21925, 7664, 17680, 87960, 37326, 70316, 157989, 29063, 16049, 114035, 14852, 65539, 7305, 58413, 1877,
  47347, 17700, 121084, 175922, 11678, 14590, 26324, 40935, 33846, 20487, 2960, 82286, 7008, 140230, 95020, 131093,
  196704, 19819, 214983, 15557, 9895, 61765, 2774, 23793, 6753, 15070, 23136, 103206, 8633, 6988, 6539, 24357,
  120892, 28654, 43247, 90291, 59970, 66616, 39279, 57954, 572824, 154282, 103289, 83945, 115934, 30357, 45667, 105824,
  6646, 68979, 29029, 11138, 202559, 233721, 58053, 123432, 892, 61869, 24559, 4513, 48351, 9869, 14927, 39859,
  37611, 43939, 23103, 59284, 251282, 8496, 98455, 54160, 57823, 36455, 13031, 54764, 67263, 54173, 12367, 186498,
  57750, 24251, 33450, 28263, 26527, 3389, 48830, 62567, 34485, 22568, 19435, 87958, 90747, 51443, 111255, 9133,
  7685, 14251, 4357, 34121, 88370, 40692, 44187, 15871, 6144, 133877, 39726, 20248, 64182, 49145, 10818, 50541,
  1709, 19747, 172835, 1815, 41969, 4563, 131019, 10784, 21458, 34631, 34642, 27451, 62327, 10502, 64817, 21040,
  181657, 3356, 25303, 57684, 49247, 69433, 4964, 30900, 225330, 137978, 66824, 79436, 122600, 89064, 2877, 43195,
  114574, 122442, 100287, 41921, 107124, 25840, 145878, 21565, 85361, 235410, 5467, 28770, 111833, 74398, 71263, 46983,
  63243, 138675, 140, 48949, 71420, 26887, 24503, 148456, 15655, 33138, 34734, 7409, 191178, 14, 9258, 150881,
  72430, 90902, 102763, 36586, 18063, 309662, 7191, 149392, 51425, 83681, 24587, 13296, 54002, 210523, 16626, 112474,
  12364, 63416, 36624, 26506, 53225, 21831, 31787, 34, 86557, 998, 49738, 86372, 18193, 23048, 18612, 8630,
  97580, 38441, 26833, 25418, 41232, 78390, 16663, 190608, 138398, 35615, 30762, 41936, 67821, 38100, 49578, 39714,
  128724, 43474, 548, 16126, 8944, 23862, 54057, 149293, 233212, 265993, 19560, 43377, 101353, 40854, 29299, 30997,
  52099, 84221, 76059, 31238, 42127, 24282, 80418, 19725, 14006, 28929, 62417, 365698, 120107, 2583, 165916, 29207,
  32789, 70495, 14426, 38831, 32132, 4652, 155719, 175722, 3498, 105465, 149732, 73487, 18123, 17955, 25073, 7848,
  33758, 212117, 244871, 8698, 56058, 78012, 176282, 143192, 5779, 143466, 322846, 64979, 128760, 44417, 7522, 81933,
  59888, 57516, 87550, 22759, 98869, 19786, 24780, 17277, 18445, 71895, 46515, 17698, 84702, 95788, 12963, 2088,
  51911, 34015, 139375, 18024, 13234, 31480, 33157, 4088, 218379, 20152, 163491, 28846, 20093, 78589, 10362, 134905,
  39031, 1665, 31913, 27636, 8074, 44238, 29175, 3880, 70195, 32932, 86265, 35934, 20708, 49901, 110247, 9629,
  23462, 71547, 25903, 28239, 24355, 4901, 138539, 79668, 131384, 12295, 92413, 90944, 60189, 41168, 22999, 20952,
  26390, 12629, 62314, 162675, 10403, 221931, 3072, 11764, 41060, 197102, 26233, 17299, 7140, 4, 23363, 5513,
  10781, 164646, 18296, 151517, 49410, 18780, 28010, 94985, 42261, 103149, 80050, 34361, 87202, 65486, 9245, 50882,
  82566, 8189, 29402, 49903, 41663, 200708, 115537, 287472, 43105, 88272, 5751, 34285, 60276, 72903, 27444, 11115,
  2768, 40213, 17769, 32834, 5733, 17012, 31302, 65627, 74176, 65762, 220572, 9443, 28329, 49080, 12480, 25022,
  2297, 13079, 51120, 130422, 145430, 108651, 137217, 132944, 131632, 45724, 62952, 163637, 83615, 68196, 126016, 32802,
  122915, 52473, 182224, 14962, 105441, 51662, 20871, 19690, 655, 19897, 140506, 6328, 224102, 127751, 71453, 69604,
  5284, 37207, 87714, 44437, 136426, 34177, 153918, 197294, 67763, 66574, 112376, 9811, 16294, 44836, 174988, 254354,
  188511, 2252, 79267, 9326, 32538, 195, 43583, 8887, 61049, 21719, 26734, 11871, 27893, 192270, 45063, 30090,
  3394, 20502, 9111, 20810, 13951, 78445, 8154, 14291, 159099, 36402, 6237, 37096, 28542, 24459, 73277, 130650,
  17930, 20147, 11211, 3687, 145360, 109503, 113181, 11464, 9492, 132383, 106568, 69961, 190122, 21790, 110379, 8476,
  32285, 32541, 17180, 45498, 78855, 35803, 91050, 89637, 26440, 3026, 120111, 12708, 13570, 45990, 40699, 99704,
  58648, 92464, 151437, 6667, 73908, 1742, 3256, 33631, 4239, 45909, 170962, 320179, 124561, 64828, 19263, 102210,
  2444, 89057, 81206, 34535, 74172, 132424, 73378, 52206, 53131, 11865, 27025, 47218, 11468, 17209, 232859, 291876,
  10794, 27550, 80459, 63364, 73566, 231061, 98585, 163639, 11623, 81336, 209888, 37838, 35343, 51998, 144543, 217838,
  64710, 105694, 183409, 44047, 30481, 27765, 3985, 96950, 4163, 39768, 18053, 21140, 10328, 45473, 19463, 485,
  38309, 119763, 13419, 18090, 29901, 52576, 186587, 4918, 10538, 151025, 65973, 352, 154377, 192678, 90225, 68987,
  76132, 45679, 99334, 22260, 92405, 1735, 27185, 48079, 24839, 129186, 20096, 21327, 11679, 132020, 9799, 26969,
  3465, 457, 58718, 36333, 13449, 152147, 4317, 24297, 11637, 32905, 8133, 40341, 7824, 26227, 23026, 45709,
  2337, 33165, 12703, 29202, 57754, 193021, 33150, 59750, 1260, 52775, 3601, 206, 14458, 29558, 61780, 10854,
  41118, 3988, 39264, 86434, 19878, 45295, 164578, 92891, 38661, 105334, 321632, 27923, 13416, 145240, 66977, 20857,
  159180, 21051, 75795, 119241, 37074, 56804, 62179, 4633, 163164, 62782, 27211, 8479, 54137, 80694, 29848, 30457,
  28627, 13295, 19382, 20644, 52134, 10036, 217, 6449, 184900, 22218, 8094, 95155, 8520, 119873, 16010, 180016,
  40385, 43460, 98015, 169032, 29546, 317, 16757, 61276, 30502, 211577, 27875, 3900, 22386, 11672, 18862, 7483,
  66527, 116135, 41410, 25526, 107458, 48136, 4627, 31485, 6850, 6851, 18832, 87836, 24022, 18326, 45152, 4289,
  47983, 4584, 50159, 5227, 30603, 9757, 27848, 14186, 35083, 178388, 76847, 56645, 8934, 26884, 969, 107665,
  304066, 106975, 94078, 22863, 39500, 79589, 54285, 52346, 9, 105974, 10324, 22271, 28261, 14018, 68550, 223406,
  33026, 33723, 167920, 84931, 77251, 18488, 61468, 140862, 9374, 16225, 134571, 126469, 44833, 2686, 49718, 124647,
  116312, 1215, 83962, 5572, 34990, 71606, 73680, 62194, 29236, 49106, 112907, 45328, 63563, 57200, 134223, 119112,
  125639, 20182, 135593, 81539, 135405, 182962, 6376, 2944, 165398, 71975, 43868, 92182, 159055, 10997, 72330, 18563,
  55690, 2114, 39931, 35390, 88141, 54250, 18546, 28114, 69643, 110033, 69602, 11752, 236964, 2628, 45862, 81263,
  31983, 28246, 80175, 121337, 25572, 22559, 17702, 19278, 20436, 10543, 47657, 113444, 36746, 10480, 87410, 12082,
  60896, 959, 39265, 183075, 31850, 51426, 10828, 84058, 16179, 1273, 128039, 147289, 11828, 25587, 131393, 39952,
  5888, 121379, 76269, 37043, 3043, 76094, 45039, 146616, 66368, 17415, 378876, 51710, 9750, 1764, 52374, 71144,
  31167, 15312, 56281, 89753, 7915, 15678, 93391, 87084, 53111, 56512, 105225, 38442, 36430, 51574, 77376, 65903,
  1333, 89929, 814, 75533, 64344, 10164, 325602, 55313, 93659, 2487, 16394, 59473, 20061, 3479, 15298, 124327,
  60596, 150371, 102582, 138574, 180191, 71830, 13827, 98326, 51630, 12630, 135, 27533, 6792, 27597, 14192, 33715,
  30244, 143897, 92657, 4323, 43509, 2215, 32766, 14515, 101058, 82207, 7222, 111758, 22409, 5186, 141296, 24798,
  420, 100838, 20522, 137775, 44210, 32883, 95696, 537, 109783, 90107, 20074, 2531, 43223, 14612, 84993, 171076,
  27030, 753014, 54033, 23994, 72477, 11870, 108492, 74863, 72831, 78381, 313, 219089, 32679, 44756, 39365, 53656,
  29235, 112804, 4612, 118248, 7675, 9325, 61217, 115300, 47556, 1974, 176307, 5313, 12258, 24359, 49934, 241815,
  39907, 4311, 18866, 14709, 149412, 89233, 46619, 83155, 84926, 117576, 37441, 44149, 118247, 9581, 245890, 19548,
  24692, 61039, 81797, 23206, 71717, 37350, 97838, 6965, 105038, 174607, 122384, 5456, 86009, 3823, 64576, 41024,
  45941, 19151, 16982, 5901, 41189, 12737, 28662, 9093, 89453, 59974, 36378, 119022, 29856, 38530, 16274, 104168,
  52543, 25096, 44843, 20335, 30627, 25217, 83023, 20190, 226798, 32906, 48839, 122264, 67303, 25118, 78432, 77680,
  59230, 99203, 52453, 97225, 67415, 116979, 48969, 59468, 34408, 89209, 24629, 71301, 1367, 86361, 58029, 35735,
  99685, 35427, 110370, 109975, 16867, 184273, 35211, 185023, 128419, 6443, 43697, 58373, 52147, 56592, 116955, 32140,
  4111, 14363, 213044, 135637, 125381, 38275, 50143, 17997, 117881, 101169, 57994, 9105, 16173, 1311, 63238, 37077,
  44093, 61457, 62582, 8321, 102224, 43737, 126639, 70604, 31575, 13061, 20600, 75637, 23234, 165387, 187842, 19370,
  24870, 41729, 18660, 37654, 83790, 66390, 28158, 66508, 127407, 6641, 102989, 100976, 239098, 111562, 135358, 12923,
  3200, 3321, 50588, 83626, 994, 45525, 35195, 6785, 1255, 50764, 123683, 15659, 100903, 138375, 23653, 10925,
  242275, 55742, 47613, 60776, 117266, 29543, 19014, 83593, 55116, 48171, 71871, 34800, 38205, 1776, 35402, 102985,
  16140, 81921, 23789, 138566, 29662, 15032, 205698, 158837, 11307, 35577, 20517, 75918, 40414, 115830, 81388, 35444,
  208793, 18557, 12624, 88971, 123355, 7306, 709, 13579, 56470, 36205, 56962, 82710, 4862, 23826, 108392, 175539,
  75600, 107919, 62674, 112679, 30119, 36318, 35323, 3583, 58218, 42961, 39675, 9447, 70828, 40967, 25394, 52990,
  24075, 6264, 32106, 43005, 26974, 2988, 36004, 49055, 7802, 84004, 24170, 31281, 192353, 47725, 12122, 11485,
  4851, 11565, 12034, 19433, 5475, 41012, 20120, 169743, 78720, 54606, 9059, 80180, 66596, 18422, 7869, 44705,
  3409, 26996, 13290, 28943, 28573, 92913, 21345, 102017, 64396, 222153, 58203, 28422, 30381, 11224, 105757, 65847,
  30690, 156282, 70213, 52668, 59859, 46136, 55861, 28532, 88256, 167753, 157143, 34619, 5406, 46785, 110077, 43667,
  99945, 9622, 81243, 40902, 103064, 15805, 16903, 64832, 34463, 71025, 48166, 42913, 37727, 31054, 199439, 94651,
  24238, 84843, 164414, 59355, 86643, 74925, 68161, 10544, 60088, 90967, 94387, 626, 4057, 59963, 60891, 3100,
  23741, 51614, 57271, 43352, 5967, 76881, 11240, 21366, 162904, 80651, 76535, 13325, 38240, 4001, 24457, 67064,
  28356, 59452, 277744, 118863, 93858, 59807, 37070, 46501, 25510, 47161, 7751, 47987, 122879, 281048, 12303, 65298,
  6897, 37593, 95760, 68584, 3278, 26040, 46338, 79738, 7057, 17560, 16525, 65646, 11971, 76085, 47810, 37627,
  4400, 76728, 5019, 19862, 35461, 120836, 69334, 34264, 211413, 192855, 77060, 103398, 21395, 73312, 37471, 37865,
  59615, 99094, 60234, 101902, 39471, 232524, 96009, 116049, 87233, 34141, 2404, 47909, 55795, 180204, 127761, 116132,
  128426, 111843, 49823, 18679, 3051, 65130, 52071, 17872, 22470, 42507, 67834, 142462, 41950, 81020, 33544, 172729,
  14705, 32808, 43131, 39318, 3974, 48407, 145523, 8491, 180108, 104130, 40283, 86994, 80476, 22927, 7120, 102446,
  78442, 34442, 85410, 33747, 204996, 201697, 144383, 153362, 91987, 218233, 24213, 28647, 15634, 10985, 37691, 14620,
  67610, 11910, 119218, 53184, 139015, 23331, 10937, 4794, 142373, 40819, 40365, 31288, 35611, 63904, 95756, 235215,
  51134, 76276, 11957, 30265, 10387, 46958, 85389, 177045, 4353, 39988, 117622, 35975, 153456, 14265, 42420, 3485,
  57749, 23217, 14856, 159478, 181039, 125928, 75417, 128987, 14183, 7005, 18444, 37640, 68447, 15249, 32753, 189408,
  151532, 34992, 102201, 115188, 21107, 39324, 56039, 38368, 36452, 94812, 113679, 87546, 20551, 11761, 60872, 2888,
  3186, 69267, 53191, 52996, 46247, 44225, 33896, 98339, 46383, 32566, 16275, 88963, 129666, 176, 31427, 38271,
  88736, 11275, 58147, 11767, 140662, 14422, 96597, 45066, 146243, 18516, 134527, 23160, 2066, 107751, 37546, 10292,
  8360, 95441, 58117, 98151, 7978, 116856, 906, 79063, 64818, 14019, 109894, 9029, 106963, 34922, 1651, 42838,
  17896, 207329, 33682, 4066, 47801, 29346, 56026, 102181, 10723, 23963, 12845, 30084, 114821, 24728, 27351, 96712,
  223295, 24805, 8840, 155257, 74192, 14731, 60882, 14446, 3293, 36369, 62442, 16908, 3393, 24144, 93518, 169099,
  16987, 21052, 64385, 3253, 74064, 34395, 37448, 95011, 11277, 73486, 191440, 28196, 91622, 56473, 327982, 27442,
  4270, 7603, 34045, 68072, 29828, 36418, 35213, 46824, 27951, 92979, 6344, 294949, 387869, 35280, 6512, 67496,
  103235, 38638, 120453, 15900, 1374, 3046, 370, 32475, 61988, 25666, 311175, 38789, 120083, 14581, 62496, 17476,
  477, 95410, 36028, 79370, 145892, 21060, 64274, 8593, 128378, 29734, 47799, 41023, 11779, 189177, 291116, 68655,
  211263, 3096, 34673, 28182, 61354, 70851, 185841, 5926, 18221, 58964, 5624, 148475, 17869, 70577, 270, 72725,
  46530, 32794, 6345, 53885, 83061, 319994, 77613, 55607, 108538, 2964, 83165, 113358, 157981, 31861, 142777, 32134,
  90608, 77733, 12681, 67299, 67199, 12519, 151204, 80716, 95080, 143, 88673, 73243, 49064, 70975, 92554, 194270,
  195814, 37976, 26210, 15538, 12302, 590, 123979, 34036, 66307, 32917, 51270, 50898, 10348, 192749, 78998, 142567,
  231346, 74689, 141501, 68754, 160732, 81034, 15915, 13236, 112859, 19495, 33767, 7063, 63633, 6869, 25702, 6584,
  146558, 146882, 202224, 116085, 21271, 11451, 46600, 73942, 31037, 225039, 32805, 68328, 198802, 8912, 109275, 23107,
  47622, 21867, 446, 51547, 12862, 75989, 33036, 7283, 95710, 83109, 38497, 1301, 3910, 40681, 44384, 46771,
  77850, 49203, 95089, 139563, 73961, 6370, 84201, 1459, 85585, 161489, 169649, 79787, 34752, 252385, 3378, 55032,
  61000, 3120, 4672, 121269, 4082, 53803, 18080, 73246, 24595, 42389, 13731, 72203, 103679, 101774, 38710, 34206,
  71107, 64573, 16007, 64268, 8208, 29590, 28108, 9501, 79568, 11666, 168288, 83632, 150019, 35196, 5403, 5176,
  16615, 93441, 6104, 17287, 24961, 112281, 14480, 245496, 139857, 9685, 75837, 34655, 32664, 20702, 201412, 31683,
  197366, 202353, 26591, 31589, 4559, 27910, 10695, 29436, 54735, 144360, 113352, 52336, 32696, 146974, 38124, 34893,
  4126, 3855, 115855, 6057, 162019, 10972, 91491, 48259, 75698, 34626, 7354, 16587, 13916, 6749, 69092, 102728,
  70108, 121378, 4399, 25253, 159638, 105250, 11905, 98411, 19834, 40029, 8256, 251243, 9349, 57694, 5558, 143250,
  24675, 51457, 65260, 24058, 175560, 27907, 52475, 49070, 49643, 4320, 66836, 90101, 18206, 8928, 62901, 87851,
  52459, 14454, 36601, 64627, 27992, 417, 30565, 19686, 10809, 231322, 36540, 40887, 88865, 49589, 161033, 58107,
  401975, 102386, 190339, 87577, 133172, 54023, 98944, 20896, 29000, 84825, 33172, 11781, 34558, 116897, 58352, 53344,
  30915, 21521, 89, 241320, 3658, 45946, 115393, 212186, 25834, 50333, 3228, 37254, 42430, 1886, 49132, 81794,
  36562, 28818, 44722, 31564, 125265, 149984, 17397, 128685, 18182, 3056, 21825, 25140, 10155, 16556, 115060, 11990,
  40149, 184644, 50253, 367370, 97082, 13560, 14932, 13300, 208980, 36379, 448, 106133, 19575, 21267, 68757, 93452,
  60853, 5169, 34427, 16161, 90529, 142432, 73614, 192405, 66545, 49751, 90066, 65857, 9600, 4098, 80224, 55076,
  789, 3798, 125169, 73968, 46420, 59540, 51655, 28547, 2317, 95529, 72038, 360298, 88593, 260668, 151609, 120315,
  55595, 35600, 10778, 130706, 98980, 30010, 17825, 47077, 115302, 28222, 240315, 7342, 5742, 15051, 17234, 17561,
  169155, 93735, 18784, 51808, 1073, 87638, 22486, 96835, 177901, 34933, 43751, 134471, 3472, 60107, 8319, 10366,
  11189, 23719, 97590, 116678, 63711, 15095, 47410, 210265, 78643, 127925, 2850, 146459, 65472, 435141, 43043, 51101,
  50459, 17859, 2597, 1029, 127979, 110999, 140586, 131287, 93, 204861, 49176, 53532, 42202, 49335, 38681, 33970,
  67053, 39163, 64804, 7867, 21720, 57269, 35446, 82892, 157650, 75789, 40884, 15694, 11145, 39407, 108823, 27310,
  141378, 15460, 227, 20019, 42033, 6822, 24630, 75665, 22824, 20941, 64884, 46365, 85705, 3773, 32852, 75547,
  79114, 70646, 91197, 26198, 35584, 16783, 11785, 51303, 15974, 155610, 115243, 9935, 1510, 56327, 108654, 387235,
  54172, 2660, 22731, 69831, 28562, 32500, 45536, 94042, 12451, 40584, 20876, 3006, 104226, 49255, 2735, 68192,
  19190, 61831, 13307, 161983, 97151, 164345, 4367, 129297, 73024, 45668, 60180, 126542, 20948, 27490, 11817, 6231,
  5151, 13473, 7833, 109917, 81741, 27736, 71450, 26743, 21499, 244239, 47508, 47275, 29006, 25257, 7357, 18329,
  84183, 112580, 118605, 3793, 198074, 159004, 32283, 17771, 54003, 17983, 52972, 70724, 45120, 24182, 47404, 99628,
  170125, 8794, 46876, 41664, 26240, 122522, 32698, 169875, 35177, 43594, 40030, 96952, 28389, 22133, 1219, 1627,
  64863, 236968, 142742, 94455, 79974, 94146, 13684, 19300, 60778, 15176, 21046, 112121, 176915, 177946, 121876, 170733,
  232183, 45571, 52925, 2209, 45342, 34927, 19843, 1825, 2038, 21606, 30609, 39291, 80253, 114805, 22110, 67637,
  41564, 11345, 145262, 126398, 40703, 91578, 60920, 14383, 32689, 114171, 33321, 22821, 5430, 118359, 18515, 41276,
  100689, 31373, 44534, 57652, 5366, 38077, 63639, 246112, 23007, 50484, 65271, 114639, 134279, 23472, 42037, 36268,
  14266, 3805, 20110, 106077, 26712, 83068, 3745, 48789, 73993, 11755, 10138, 6567, 24934, 1686, 24404, 64978,
  64242, 102615, 49674, 64915, 52113, 102967, 47100, 123729, 102887, 34493, 5532, 124741, 61801, 68500, 69254, 101322,
  46415, 189970, 103910, 112087, 201049, 82512, 10888, 99736, 54251, 19508, 119320, 20798, 62133, 100781, 96032, 438249,
  122757, 112255, 29169, 17982, 164883, 72196, 54239, 5731, 30815, 71455, 40605, 9088, 139966, 231725, 23187, 27251,
  2319, 15295, 22292, 9157, 30842, 13822, 93710, 35112, 766, 17075, 23218, 37794, 13362, 14364, 86554, 81170,
  10287, 35041, 29695, 20186, 134518, 87266, 22035, 118809, 86111, 54826, 39227, 34957, 81665, 785, 130193, 5422,
  82440, 165380, 20305, 170800, 28333, 3085, 25031, 63282, 43019, 46076, 6077, 19050, 18963, 12418, 78312, 37302,
  8804, 89631, 234705, 12675, 161944, 14463, 408482, 32815, 23439, 151647, 193595, 35885, 102144, 76974, 201816, 48443,
  101145, 61088, 67380, 55214, 80029, 65112, 236169, 11787, 39052, 61274, 38785, 128619, 248708, 117197, 271163, 7859,
  30350, 146035, 2253, 131342, 117340, 101888, 58102, 64465, 11878, 89316, 34052, 26133, 128467, 54644, 138482, 21706,
  974, 21544, 138848, 29501, 138625, 13861, 594984, 69791, 63961, 7884, 49187, 75381, 5237, 3488, 22429, 62564,
  74778, 10035, 87433, 84117, 61834, 89252, 99881, 82523, 67040, 20877, 122047, 11631, 43814, 146638, 2274, 23298,
  13690, 16936, 14388, 11469, 65947, 133203, 65149, 34934, 33809, 57431, 38649, 14721, 232476, 110369, 46966, 79425,
  115258, 73854, 38503, 168461, 181745, 103268, 1590, 73761, 28824, 23871, 104328, 10944, 94013, 11048, 79005, 77074,
  9510, 89479, 89361, 8471, 10246, 73385, 17529, 51173, 93722, 40211, 452, 112593, 81976, 33181, 50233, 31287,
  7217, 11605, 5815, 49818, 114383, 88600, 20714, 201753, 3493, 31374, 99143, 103003, 16014, 10855, 96263, 3215,
  69045, 19108, 17235, 118289, 72692, 54171, 110308, 6337, 12145, 34602, 29627, 82100, 80981, 1942, 94550, 34461,
  9507, 33064, 52111, 30229, 6692, 117458, 68421, 89525, 1620, 80775, 26613, 26281, 60820, 8784, 48514, 22303,
  330444, 101568, 44180, 117514, 35474, 54648, 52855, 24987, 33962, 73393, 65642, 67569, 4797, 67532, 33609, 31625,
  7053, 54521, 80888, 3839, 295463, 120005, 12078, 28541, 46445, 187065, 33145, 165188, 27026, 38584, 77641, 63748,
  12491, 8511, 283918, 4716, 77988, 19152, 55724, 61518, 49524, 87047, 241122, 13621, 35675, 5771, 49017, 17443,
  90947, 23528, 8917, 92592, 29114, 23367, 38345, 16221, 166705, 19640, 54603, 106502, 101385, 34100, 50779, 50417,
  133782, 46043, 51856, 22308, 32704, 72281, 6041, 33229, 6186, 116558, 164648, 67105, 84595, 74801, 41853, 10043,
  176031, 39148, 41713, 36877, 185623, 77660, 93112, 18322, 45966, 122806, 108388, 45184, 151302, 14234, 62763, 55556,
  63069, 244438, 9876, 276168, 1699, 17487, 9500, 35260, 107491, 149204, 1781, 17579, 947, 100336, 84387, 8106,
  15458, 23215, 396223, 29684, 74452, 123641, 92338, 31473, 196212, 62391, 1527, 3879, 6046, 20893, 200851, 3778,
  10498, 7764, 38750, 23256, 12163, 76975, 57473, 59530, 10239, 23275, 35839, 158531, 35191, 44209, 40678, 3596,
  243951, 73764, 16266, 15283, 9277, 164, 9335, 59492, 9090, 7474, 66893, 9054, 29539, 12905, 6948, 246436,
  54460, 50334, 52706, 46765, 22820, 125379, 163547, 191059, 26514, 8972, 72494, 117307, 112549, 40233, 12782, 33432,
  60372, 35994, 32356, 367449, 51753, 39462, 62458, 34885, 48756, 795, 117374, 148644, 21812, 14674, 1704, 10995,
  70861, 98992, 38556, 29671, 260326, 35167, 3569, 19709, 41, 10312, 47172, 133362, 44222, 19304, 3828, 39543,
  10441, 32694, 2925, 24827, 16961, 14477, 106226, 11249, 48148, 641, 182648, 47579, 138771, 11517, 1834, 5495,
  216194, 89574, 56707, 54758, 5914, 36178, 72805, 5272, 52153, 156729, 2240, 13954, 53400, 68748, 63310, 189742,
  212036, 48502, 106813, 55645, 56519, 64696, 48413, 131579, 26245, 26436, 62198, 36864, 10117, 183822, 41455, 133034,
  45888, 134173, 151941, 23987, 15294, 9465, 151116, 213962, 138019, 23156, 20652, 128889, 90913, 19364, 219476, 43092,
  26368, 135383, 5308, 63585, 43842, 38292, 83051, 52878, 42111, 91099, 61824, 86809, 23348, 16103, 1661, 1463,
  6082, 2926, 10571, 10834, 194845, 212415, 28967, 55622, 161089, 61297, 359805, 83283, 156206, 39861, 2052, 124838,
  51546, 15485, 2858, 116911, 11647, 165218, 246102, 28861, 30759, 90050, 115426, 107685, 302912, 221668, 43284, 28078,
  262094, 15913, 108493, 34355, 8635, 56521, 33938, 107963, 78876, 130940, 120485, 7453, 26535, 294502, 79190, 217099,
  35283, 16638, 827, 171026, 54183, 254986, 24436, 15975, 31183, 71531, 8757, 197433, 85484, 10671, 7791, 98566,
  147873, 81926, 428971, 27061, 12989, 34063, 127862, 4570, 5197, 115338, 86529, 11135, 6356, 99904, 45008, 275758,
  72894, 23300, 64365, 137852, 65347, 47170, 28144, 96791, 20150, 159397, 90399, 1362, 27370, 98131, 31669, 28527,
  73787, 117782, 21103, 19726, 1493, 47288, 66521, 29621, 45918, 29807, 100648, 6707, 12366, 36485, 45413, 16410,
  190217, 44950, 2222, 75028, 20724, 41617, 33388, 41062, 13858, 83447, 87017, 3916, 10981, 5912, 19979, 5885,
  67449, 21903, 300914, 5663, 81213, 18877, 80072, 19338, 7553, 143149, 63928, 73907, 14115, 297533, 1424, 109439,
  72242, 21063, 30733, 14100, 271517, 34775, 24860, 63700, 11842, 20737, 50067, 22773, 48310, 11235, 43957, 13183,
  88743, 32209, 23321, 97092, 143726, 17704, 33289, 144394, 22177, 68374, 111967, 982, 3290, 170312, 8945, 39607,
  243231, 56247, 9319, 54873, 58452, 181674, 44954, 10669, 62937, 133402, 31264, 14854, 12592, 70761, 4902, 2472,
  1654, 39097, 17353, 115270, 40066, 92333, 7620, 158039, 33477, 80720, 2135, 38418, 13751, 164773, 39322, 114253,
  9921, 17904, 79739, 5389, 128442, 4659, 46992, 27136, 15868, 109620, 82964, 2344, 7106, 102119, 3920, 13567,
  75236, 23651, 9863, 2844, 83773, 92000, 12422, 95077, 10775, 142605, 120027, 9048, 36938, 81154, 56545, 4754,
  10482, 28907, 16084, 21873, 170465, 19577, 24905, 58130, 17368, 70780, 14531, 55034, 17469, 23293, 260571, 52064,
  161508, 63795, 195965, 205503, 32752, 145584, 138232, 298398, 98340, 15352, 275003, 75638, 800, 306996, 12394, 36516,
  19824, 101316, 192935, 84781, 264456, 14840, 73856, 120271, 3901, 50990, 48385, 372041, 87319, 2227, 95681, 56225,
  2867, 24632, 65645, 172829, 26782, 83816, 46844, 37867, 9630, 11329, 76756, 138080, 113102, 2296, 84207, 55323,
  185815, 5210, 2986, 109112, 24197, 70199, 64611, 7066, 44584, 96679, 3292, 11955, 86366, 7796, 105090, 121463,
  40224, 45210, 50967, 43523, 3636, 166133, 21094, 57178, 140916, 4748, 13764, 3777, 31731, 104179, 416810, 188439,
  267731, 86931, 13966, 5018, 9567, 283051, 3232, 53171, 53678, 6228, 32833, 99759, 72984, 37061, 70162, 70738,
  29389, 1868, 122000, 13671, 27963, 37380, 69277, 37341, 17106, 45005, 12564, 183, 50282, 3809, 57468, 23868,
  284911, 75942, 28036, 2447, 60170, 8119, 51479, 25171, 8322, 48880, 42721, 33419, 12608, 11361, 18423, 24958,
  23374, 141776, 2304, 149128, 89652, 68789, 36035, 45613, 5268, 442, 159096, 63783, 39044, 4432, 34374, 26718,
  229766, 59526, 23706, 15072, 8869, 12775, 73562, 76513, 151350, 46040, 29341, 58942, 31436, 8742, 195663, 155875,
  177342, 9409, 11232, 106379, 12269, 40493, 135684, 74614, 183212, 41598, 44475, 43186, 120418, 263054, 22473, 36531,
  116270, 43205, 64216, 41880, 2843, 3299, 84033, 48575, 78888, 37197, 53158, 44555, 69192, 29213, 80495, 156103,
  7865, 86885, 75088, 21642, 184099, 132386, 508, 948, 1086, 69319, 44488, 3613, 129897, 33311, 51024, 2449,
  18383, 28970, 50210, 70726, 70508, 87097, 118602, 146382, 20242, 182430, 197233, 39937, 18508, 14350, 24901, 165385,
  229924, 33832, 136628, 151243, 124569, 88492, 127154, 62624, 35749, 21909, 91751, 8060, 50589, 954, 105732, 25763,
  55626, 146107, 1247, 64529, 9884, 13632, 16172, 1335, 83115, 126164, 36224, 170872, 40971, 2035, 7394, 46551,
  30671, 53142, 107311, 75486, 18135, 69492, 12903, 96202, 14452, 18152, 49690, 77016, 38861, 2226, 385130, 21131,
  17844, 57784, 84, 36610, 201826, 14842, 131564, 77270, 5549, 102741, 193961, 183742, 26413, 2474, 194304, 464074,
  17189, 226650, 166968, 718, 13561, 32539, 7182, 35594, 38539, 16307, 188634, 18219, 10679, 72826, 161909, 63158,
  143331, 23378, 14208, 25491, 3314, 73171, 63331, 5500, 36785, 38973, 614, 1580, 171194, 97209, 137201, 91854,
  49685, 50187, 10733, 91809, 187713, 62737, 172516, 6666, 67506, 4776, 58141, 30188, 4618, 392, 4013, 235640,
  104039, 39136, 56441, 250251, 17060, 48306, 57483, 66360, 195080, 59703, 90208, 74747, 50648, 37806, 27833, 30715,
  33159, 66182, 9356, 34911, 19238, 70986, 114677, 17409, 67559, 80594, 47694, 8643, 134840, 79148, 5452, 14070,
  28599, 144163, 50434, 27535, 157523, 13810, 155, 61478, 17130, 128237, 70556, 20046, 38064, 108184, 48322, 65305,
  117398, 36136, 43677, 27966, 94355, 126236, 109335, 98906, 31918, 54262, 1145, 25681, 13575, 60774, 45912, 122417,
  34538, 24034, 131365, 51834, 40326, 21250, 21866, 17508, 13997, 117733, 16819, 89310, 3494, 11178, 60427, 34853,
  348283, 6846, 88202, 17221, 62481, 8359, 10088, 62152, 26862, 12931, 13414, 151495, 3603, 33643, 178131, 46655,
  104426, 109103, 4105, 146806, 244363, 64272, 15471, 93101, 153709, 21364, 73754, 69185, 112487, 8238, 52934, 80498,
  304612, 124178, 39721, 198761, 199674, 132729, 36479, 5833, 41239, 3609, 28387, 262648, 35545, 67430, 89355, 18851,
  54869, 54495, 5118, 27316, 293005, 36308, 43061, 110038, 28223, 7186, 33116, 18945, 26277, 73156, 23311, 41090,
  26899, 300052, 100683, 8894, 4533, 2915, 66118, 31965, 18518, 75755, 209592, 62868, 15492, 99745, 54220, 111614,
  38587, 26556, 107426, 95125, 80488, 64232, 13265, 23009, 70485, 25431, 69000, 3572, 160395, 98028, 42484, 42093,
  263, 6747, 244525, 132822, 60162, 171913, 124805, 29698, 11382, 8416, 48535, 37248, 222152, 16593, 47020, 8816,
  4696, 24033, 36100, 38399, 250751, 10483, 19137, 143486, 51921, 74917, 130735, 79897, 182609, 69122, 71667, 39358,
  10707, 133977, 56093, 112728, 48463, 33430, 9299, 48097, 46243, 217556, 63573, 36225, 1227, 221850, 32274, 14107,
  49111, 29646, 36094, 63601, 111564, 49362, 24638, 17610, 46502, 41875, 40909, 4262, 33342, 32777, 32103, 28673,
  56846, 6159, 154445, 47336, 68541, 153151, 3385, 58607, 63559, 108092, 46159, 13477, 858, 2316, 24161, 128413,
  139927, 11071, 88393, 110949, 16654, 34235, 73235, 37210, 229375, 76831, 194659, 71471, 76759, 4725, 28276, 29321,
  26478, 117042, 46296, 101434, 33205, 67157, 6462, 3168, 95828, 54864, 23765, 55657, 23399, 39175, 47265, 10732,
  92945, 59744, 14719, 35115, 2637, 23170, 162802, 33876, 35630, 38052, 9197, 83972, 28470, 19030, 22779, 259343,
  143992, 229198, 23683, 129194, 50214, 30041, 34367, 134697, 14174, 184114, 144727, 23833, 21456, 25715, 53623, 10461,
  166191, 57432, 28691, 157504, 65665, 67457, 16937, 12529, 1711, 168178, 4710, 9397, 21594, 15069, 102984, 295316,
  78019, 30013, 49809, 108210, 97599, 11539, 20109, 22376, 111701, 47783, 890, 213373, 36, 229081, 150468, 50773,
  147151, 857, 99218, 78079, 110246, 83001, 17917, 78802, 189022, 112785, 40738, 2303, 43021, 10227, 101710, 85107,
  30397, 3429, 72517, 49710, 40757, 160978, 8573, 100346, 131935, 103276, 38380, 105759, 42065, 28883, 402, 95838,
  73335, 67055, 20011, 29906, 48039, 54843, 18117, 35768, 26596, 8518, 143614, 74994, 28984, 30865, 51327, 59362,
  15102, 44276, 89118, 714, 2361, 214493, 160772, 63295, 7421, 71563, 196497, 21076, 202167, 92741, 103226, 106818,
  69744, 89977, 100205, 98932, 43766, 76931, 6843, 16584, 52826, 291470, 15946, 28322, 3642, 204, 258863, 106515,
  83304, 32946, 12706, 41427, 33873, 27151, 56397, 63503, 75140, 34306, 73149, 29926, 63169, 91359, 77492, 74847,
  192389, 42353, 148, 138944, 36551, 31192, 181456, 63005, 92748, 24635, 51573, 52932, 13039, 4741, 79294, 69836,
  123959, 107948, 11123, 170654, 233220, 54352, 20575, 40997, 21738, 120351, 106134, 155424, 84447, 124076, 35541, 706,
  77230, 51748, 8442, 40109, 20228, 6042, 20963, 107207, 187852, 127504, 15461, 33093, 19095, 5987, 21488, 118624,
  25799, 182308, 23326, 20103, 92136, 54838, 10713, 126470, 108774, 19203, 61066, 63342, 29237, 9113, 45526, 43035,
  53947, 312166, 11117, 25827, 2299, 27218, 55737, 42929, 118106, 61182, 16888, 118952, 2687, 159550, 3496, 59443,
  8830, 51688, 78340, 103766, 42331, 73399, 58020, 1666, 202924, 2854, 12678, 5891, 33667, 17, 36329, 9733,
  2023, 40389, 124099, 86266, 73763, 17618, 9348, 9584, 30704, 89527, 11379, 88708, 19363, 71305, 80907, 163488,
  19779, 4406, 18155, 125871, 16737, 4313, 24007, 71010, 35629, 59187, 181773, 171755, 48081, 282188, 44159, 41703,
  24068, 63512, 20026, 20079, 101013, 4611, 19597, 169832, 162338, 158889, 21816, 59081, 291912, 51657, 16911, 142760,
  13749, 22555, 50557, 197345, 24745, 28474, 5713, 171571, 328289, 6161, 7725, 36994, 167679, 62776, 62795, 52274,
  70086, 34392, 130952, 4930, 48299, 107549, 36520, 19777, 23306, 51480, 107581, 7841, 16732, 37422, 72074, 99464,
  17801, 125916, 10597, 40408, 43322, 87432, 24862, 37097, 54589, 32282, 167348, 17898, 3586, 19826, 146462, 1988,
  63653, 28763, 132195, 94493, 43624, 52107, 37692, 42666, 53474, 25957, 8805, 222451, 925, 3055, 104713, 68687,
  109177, 128137, 51766, 12112, 251316, 83233, 11015, 24963, 43805, 189880, 86830, 77075, 13082, 33163, 73548, 44568,
  19511, 108517, 64550, 26047, 86565, 54739, 5095, 68246, 142182, 40984, 140026, 1750, 92461, 2773, 725, 19988,
  17117, 106417, 21066, 147935, 101033, 174174, 12814, 99891, 103319, 85050, 87912, 55182, 64589, 75793, 37143, 22056,
  4022, 81127, 18968, 52899, 4351, 50009, 17573, 31885, 235897, 86925, 127636, 149633, 5352, 170945, 13870, 65479,
  82705, 21354, 52980, 4573, 107142, 167201, 689, 25288, 46391, 60641, 14497, 192600, 156084, 61637, 16433, 20054,
  5860, 781, 55170, 27826, 61365, 81069, 119317, 27123, 10558, 95773, 129802, 55875, 13045, 36330, 234176, 18058,
  7717, 148000, 254, 11979, 18357, 24975, 8185, 10718, 33922, 75655, 63067, 62116, 12590, 26192, 24136, 12861,
  33065, 175633, 5001, 83234, 6928, 37537, 39570, 797, 46993, 106751, 3390, 24316, 783, 56130, 98315, 10024,
  46937, 84478, 81419, 119922, 67846, 100404, 45582, 91490, 8952, 68431, 40501, 170957, 26295, 27641, 117433, 78412,
  6107, 100280, 74320, 156460, 119656, 6001, 172558, 13585, 18799, 5324, 39108, 12471, 17458, 37351, 39676, 88115,
  50747, 61250, 125687, 5267, 4229, 23899, 71256, 32369, 179559, 203977, 81060, 24631, 112727, 201216, 111416, 67474,
  118080, 91, 35301, 125372, 20683, 74602, 93673, 189634, 41464, 103487, 832, 23478, 125468, 73805, 119649, 29439,
  51560, 85326, 160218, 36794, 49749, 182459, 10783, 266813, 44231, 9294, 15428, 71516, 7359, 56127, 165213, 174634,
  35339, 38024, 193163, 64310, 62988, 135393, 50470, 543, 136487, 82389, 59047, 12586, 67015, 11644, 14120, 11086,
  5208, 84496, 75693, 97070, 29150, 13909, 133818, 28826, 24956, 25564, 136586, 132437, 105186, 4035, 36426, 22688,
  48858, 283040, 60007, 145362, 6143, 70935, 12860, 88632, 18097, 251246, 43147, 88692, 6972, 46173, 87229, 69837,
  16404, 61816, 34813, 41161, 73489, 67221, 80668, 80317, 58742, 40484, 31106, 50580, 97196, 213949, 58374, 30823,
  36357, 82430, 16088, 18269, 164616, 424, 215366, 24797, 5834, 261900, 3248, 32765, 32267, 19570, 240015, 43546,
  13746, 95242, 296368, 118754, 147733, 19239, 38636, 84832, 15113, 3902, 193061, 119038, 132091, 99171, 11021, 33759,
  34127, 5030, 3999, 6802, 106298, 88781, 43305, 22438, 39729, 5081, 25109, 217719, 106426, 21384, 30890, 42599,
  22294, 25962, 25245, 30497, 9780, 59534, 29560, 5927, 15602, 52507, 34738, 56980, 36213, 7273, 98748, 10870,
  71502, 69490, 359492, 120808, 42808, 83335, 17061, 250432, 66802, 102331, 12384, 25660, 599, 64618, 47661, 61634,
  60755, 54355, 107300, 30007, 5851, 79666, 18845, 114230, 39120, 65244, 33679, 16370, 67363, 870, 69190, 700,
  108623, 7199, 25596, 17155, 126368, 82661, 16291, 21557, 72770, 55038, 123010, 8616, 91263, 105277, 4143, 14045,
  32486, 45280, 15555, 228392, 30596, 287, 109234, 90030, 151717, 60950, 12314, 165069, 7951, 13304, 63878, 123573,
  52002, 27428, 9709, 27443, 43103, 89429, 81209, 45635, 11768, 65127, 12093, 62760, 68942, 4189, 59598, 70512,
  40901, 34082, 60981, 18280, 39344, 77285, 4183, 14054, 24037, 4113, 474190, 227569, 127500, 33437, 1737, 48639,
  116890, 82909, 62991, 47953, 48403, 63792, 44541, 194078, 16926, 13540, 54497, 288031, 86750, 30818, 25377, 51309,
  17745, 9988, 98587, 47808, 48648, 15607, 51298, 11671, 159545, 43990, 97815, 27393, 34460, 59095, 50213, 40288,
  58419, 77017, 108711, 106974, 5634, 27302, 23195, 55246, 114317, 20787, 2176, 34170, 67865, 144530, 7099, 31816,
  31462, 136214, 45619, 105094, 23352, 133565, 14615, 72015, 24010, 107270, 1347, 151444, 98185, 20971, 63491, 86427,
  125708, 141576, 126803, 83272, 69686, 130286, 27346, 20481, 68337, 143641, 11161, 32803, 13610, 94361, 17084, 170992,
  26271, 23139, 77797, 5076, 70691, 1893, 34857, 35003, 2980, 189255, 41107, 6458, 4768, 19194, 182508, 92031,
  27225, 316351, 48574, 15987, 102402, 14334, 46503, 138005, 75453, 29119, 31677, 97327, 28106, 72279, 7983, 6958,
  8104, 6430, 66373, 51695, 6931, 86975, 52340, 108203, 1176, 75897, 106677, 21721, 6274, 7082, 13018, 139466,
  6475, 73402, 49676, 46350, 112635, 1121, 31018, 39288, 22498, 157722, 11740, 4237, 6176, 145143, 8139, 77918,
  238686, 12912, 106531, 13530, 26832, 8235, 79497, 23768, 28893, 17853, 435790, 33701, 90319, 24688, 121374, 13130,
  14441, 44878, 2951, 60805, 15682, 368968, 59313, 5764, 15087, 226921, 19420, 46906, 39517, 28151, 141168, 18755,
  45270, 39523, 7813, 6413, 109134, 51672, 66939, 115004, 104440, 22565, 91467, 22538, 45965, 62165, 14231, 46295,
  47645, 71747, 30576, 43847, 81772, 99248, 106345, 17063, 7876, 115604, 42345, 60383, 52683, 130873, 7327, 83603,
  87720, 43843, 117, 49018, 12898, 24681, 9075, 145197, 4505, 69956, 86690, 8844, 185665, 73412, 8843, 2050,
  2769, 61489, 84788, 765, 113401, 48729, 111522, 169599, 15664, 24750, 131177, 29882, 57592, 149057, 45527, 23022,
  105229, 1754, 10064, 14643, 137381, 30538, 7740, 43774, 97059, 30153, 99882, 62539, 119268, 49329, 86015, 5395,
  6876, 63855, 14385, 103785, 43309, 58548, 24380, 31077, 33886, 37135, 15365, 50313, 128363, 48659, 56802, 25981,
  35476, 24927, 75162, 26509, 144249, 18559, 42480, 122475, 67013, 7834, 35825, 193197, 143587, 15263, 5498, 114311,
  83367, 56008, 102437, 38184, 25703, 112278, 26497, 8942, 91436, 71042, 111589, 153704, 59347, 5258, 57333, 17950,
  53236, 28574, 30025, 337749, 2289, 1610, 194412, 103935, 16519, 41580, 29330, 37510, 19844, 35382, 26043, 158342,
  46309, 11301, 106938, 96214, 58558, 67686, 163604, 7639, 99834, 7952, 12195, 58864, 23313, 15895, 25042, 10540,
  218816, 17583, 10486, 66978, 231303, 9956, 202649, 2197, 36388, 7432, 55426, 2224, 51333, 16871, 119452, 179548,
  183535, 153812, 138057, 9695, 109792, 28563, 126806, 52451, 139277, 13092, 48380, 9516, 54306, 67549, 14696, 110080,
  90139, 139123, 3236, 10377, 18235, 70961, 50653, 11129, 8275, 44976, 10027, 18291, 32710, 28012, 318969, 288958,
  37677, 67929, 68821, 98990, 82464, 10181, 44498, 70197, 86025, 8013, 28549, 83043, 92204, 6171, 76895, 4556,
  88842, 98320, 60377, 71627, 117723, 32809, 5961, 12916, 37570, 27325, 108946, 2654, 128723, 67148, 211765, 80004,
  234242, 154947, 40300, 196564, 76350, 3941, 18870, 24018, 73795, 84945, 197515, 8338, 34896, 58219, 146191, 58500,
  148247, 85921, 101683, 117085, 58424, 66764, 17133, 63784, 11105, 84682, 86491, 32061, 11744, 40778, 32197, 195238,
  45746, 2576, 39893, 67918, 63372, 3938, 36907, 4069, 17118, 24568, 96382, 59551, 49772, 244074, 72416, 53854,
  199520, 69813, 60862, 51724, 81902, 122032, 234459, 29839, 38004, 36647, 114474, 13978, 22911, 158690, 15088, 63654,
  33752, 29885, 83141, 89560, 3125, 12877, 21039, 57564, 1995, 38775, 1392, 70857, 53792, 84731, 5519, 86340,
  4689, 95886, 119040, 180041, 26909, 84982, 2582, 213702, 108150, 123127, 35785, 15401, 146062, 49004, 67250, 232281,
  69674, 142589, 97906, 160196, 41811, 23716, 17807, 35367, 161444, 15020, 30993, 67673, 84855, 49859, 39473, 23557,
  8999, 127662, 19183, 120775, 28561, 79489, 57003, 62500, 16731, 29948, 30509, 54712, 93937, 166789, 11042, 61414,
  3189, 128681, 363904, 9363, 21967, 135864, 94929, 23174, 24890, 236852, 51310, 35602, 22943, 58275, 6351, 33135,
  1356, 27798, 41855, 110968, 145300, 139274, 56821, 8658, 51569, 19894, 24832, 4253, 28802, 5732, 52333, 338701,
  517, 144012, 123400, 70750, 118679, 112674, 109716, 66301, 31703, 84657, 45777, 1745, 40607, 17239, 226055, 50256,
  48098, 24528, 28411, 109729, 108854, 16675, 111456, 14807, 25003, 27471, 42491, 22378, 10233, 14158, 70447, 13850,
  73969, 15024, 24742, 25518, 177495, 27226, 176504, 38550, 5248, 41612, 65904, 91342, 24516, 41883, 18419, 84650,
  215347, 15434, 75579, 9614, 146192, 82954, 25501, 30483, 48712, 34315, 70905, 29488, 60626, 66089, 51329, 5601,
  69188, 18936, 21518, 23440, 40735, 224481, 33618, 40631, 5866, 927, 128437, 30586, 586, 52791, 76586, 141284,
  101541, 81564, 12333, 65243, 6509, 6267, 176039, 133405, 47590, 16079, 254143, 27357, 52129, 34758, 9267, 15970,
  5969, 57732, 7254, 86956, 222045, 17428, 16267, 26799, 110933, 58017, 142888, 143524, 25733, 55763, 16175, 9560,
  24223, 247240, 55864, 48197, 65339, 12856, 21320, 46799, 62812, 40007, 188763, 14523, 2414, 31539, 49494, 58075,
  155418, 90186, 99708, 24554, 35819, 75001, 757, 39520, 16022, 59445, 3713, 46416, 78423, 112394, 18048, 40416,
  43138, 69398, 67029, 137948, 20995, 20115, 42968, 1859, 128255, 8554, 13664, 13508, 240673, 36331, 63579, 21029,
  46745, 152929, 19469, 227297, 236093, 41575, 99905, 13097, 72176, 7570, 11923, 37300, 57085, 104327, 59863, 51790,
  97841, 7674, 89187, 121357, 61248, 15021, 6833, 112841, 107, 73638, 39990, 166290, 36068, 78500, 50124, 104807,
  193177, 49274, 90762, 21097, 105427, 14711, 17114, 26796, 55726, 20684, 123636, 20366, 215229, 140553, 26789, 7139,
  20446, 136219, 5009, 2402, 47228, 5882, 154075, 61745, 100420, 43241, 49334, 149951, 87091, 86136, 329294, 49115,
  14429, 27425, 36818, 111800, 121708, 18542, 6570, 27157, 23605, 12467, 6000, 70237, 21157, 88964, 42071, 18521,
  187721, 24444, 86, 29324, 21880, 145192, 303927, 17373, 2997, 108310, 171873, 60425, 203976, 18220, 116526, 69373,
  99166, 6387, 84942, 187663, 95068, 21687, 241311, 45047, 25877, 42751, 35432, 9804, 7724, 82982, 23192, 146653,
  98925, 132997, 92522, 87415, 83401, 53505, 150646, 8142, 4829, 58649, 25534, 26193, 13182, 71621, 73803, 70797,
  18229, 39127, 69038, 57676, 13718, 58332, 31672, 65795, 239662, 77166, 190337, 3939, 38653, 96399, 34620, 237425,
  116505, 13199, 102812, 5543, 153497, 1676, 111555, 5249, 30589, 10038, 44022, 32064, 89029, 4156, 84630, 183016,
  38962, 20874, 41135, 5896, 181302, 141985, 28318, 41843, 43853, 109018, 101914, 14232, 78872, 97030, 13738, 107743,
  180301, 8364, 79955, 206838, 4786, 1843, 19029, 45663, 248240, 2387, 51445, 145895, 7401, 82908, 16435, 28522,
  106136, 4571, 2405, 140262, 112590, 26994, 36399, 3894, 77745, 48157, 81325, 9424, 19731, 7606, 25832, 161377,
  60880, 3462, 68402, 63020, 77789, 8989, 94980, 140615, 125748, 101040, 138, 61603, 135487, 19491, 9072, 42404,
  5975, 4730, 23228, 147617, 48627, 88470, 18481, 32183, 34084, 197974, 15306, 16406, 12419, 25554, 80789, 50074,
  215770, 77760, 67732, 15820, 47557, 8552, 32891, 3397, 254582, 51747, 37440, 13256, 10364, 19078, 197381, 38702,
  106495, 126239, 69247, 4048, 21856, 4277, 25578, 128895, 67539, 63586, 54687, 80647, 88981, 92208, 26195, 51852,
  38805, 50151, 28772, 79952, 21428, 21251, 116522, 15445, 48732, 44111, 50224, 95470, 42316, 106832, 48425, 377321,
  12149, 3533, 41847, 71691, 16078, 249001, 118133, 10711, 52808, 33393, 18850, 60881, 25327, 125536, 35507, 17128,
  51322, 25298, 64567, 14087, 33850, 17830, 26983, 37516, 51147, 63624, 6036, 75728, 12253, 42565, 30641, 60123,
  122354, 7767, 33831, 15668, 46077, 207921, 704, 228032, 56483, 154155, 19104, 43429, 254553, 40400, 19915, 39707,
  115417, 1959, 8797, 59126, 81834, 6291, 43802, 41057, 150991, 132620, 67404, 31385, 94662, 35042, 22728, 29984,
  86668, 80841, 166714, 23521, 7381, 18863, 127695, 23731, 12841, 34184, 955, 46179, 100650, 105059, 92227, 35881,
  18218, 34994, 30732, 65296, 15741, 79032, 12811, 2842, 22372, 120408, 11638, 298925, 68294, 83360, 60616, 1270,
  50705, 35353, 39160, 65700, 15535, 87701, 7971, 17998, 84660, 24834, 3600, 57330, 61887, 43556, 70547, 21033,
  22553, 123308, 92138, 46071, 72299, 43807, 86552, 3952, 31361, 45177, 11621, 157425, 24824, 87145, 1530, 1015,
  17743, 64397, 14528, 84960, 46820, 135812, 40268, 205321, 64288, 83124, 142613, 20892, 31582, 178130, 41319, 47604,
  77006, 38648, 45265, 69293, 111674, 38866, 30288, 90253, 116384, 11710, 162727, 119339, 30760, 74575, 99191, 114910,
  80920, 74030, 166787, 23839, 86149, 70396, 8817, 71462, 77192, 61144, 7550, 263557, 51979, 2741, 12376, 38498,
  79691, 27990, 88220, 46311, 60342, 115770, 32907, 654, 122805, 22347, 45779, 35595, 103800, 61077, 11173, 7981,
  240873, 127729, 60554, 100208, 160744, 278120, 46400, 47854, 233114, 14783, 28068, 50186, 78962, 21368, 149837, 32533,
  54920, 67698, 16575, 42220, 8608, 244187, 24441, 16118, 3484, 29636, 35155, 100272, 316104, 399, 13004, 70176,
  72548, 2188, 3176, 10044, 24337, 146534, 171223, 44154, 5088, 100828, 173780, 92915, 230040, 59854, 91355, 69382,
  21926, 88289, 10494, 133339, 10172, 99597, 53605, 17770, 36838, 15150, 30766, 12102, 26, 22751, 93985, 48775,
  86221, 110954, 26896, 56128, 83458, 19243, 10858, 11338, 102176, 1734, 27656, 45449, 12062, 47678, 227191, 104843,
  17571, 33218, 31175, 80, 41929, 75064, 823, 5915, 41170, 26266, 21858, 74328, 28428, 46729, 53037, 208149,
  68239, 44371, 128012, 14846, 41750, 121730, 939, 16024, 103930, 2667, 3749, 72822, 2634, 17905, 21653, 37065,
  18313, 12459, 26288, 15851, 53019, 237454, 82804, 43717, 34825, 6324, 223813, 34763, 97837, 74764, 131779, 54108,
  63115, 77477, 133465, 158834, 24606, 172748, 8241, 11219, 73157, 67543, 21979, 44698, 152474, 62783, 25538, 151168,
  14715, 17653, 20409, 10177, 91439, 51243, 33807, 21982, 37033, 28498, 20946, 82195, 109806, 89357, 35843, 62764,
  140259, 29524, 15905, 148965, 30668, 242609, 18782, 55072, 174760, 95402, 12389, 60205, 380, 39535, 99410, 68744,
  135597, 29770, 37761, 9074, 95673, 61075, 167448, 81798, 136073, 92495, 63964, 71292, 65073, 16100, 82788, 3903,
  134249, 666, 114606, 13925, 13829, 14923, 22844, 73642, 17279, 39192, 82814, 14279, 122305, 98412, 2819, 90185,
  4420, 211793, 88571, 343220, 46444, 31428, 94176, 75136, 10237, 43041, 121311, 109668, 64848, 79724, 95455, 406446,
  203623, 49760, 35347, 15313, 70728, 55604, 64355, 9274, 10349, 116949, 76977, 10948, 182885, 140337, 63627, 148647,
  65075, 60013, 4856, 3391, 24519, 53746, 165940, 8600, 25783, 64942, 35809, 14075, 40318, 2510, 34997, 36980,
  34139, 23025, 39457, 7315, 22222, 75794, 8923, 194881, 63394, 25194, 37165, 85475, 55266, 208468, 18378, 53662,
  102764, 38595, 7896, 34791, 41422, 49686, 92984, 25098, 20126, 17645, 88907, 226875, 65100, 60009, 15638, 21283,
  90408, 4537, 139878, 112661, 53640, 5071, 42553, 9995, 35128, 46262, 76889, 67947, 48932, 16991, 106940, 167117,
  11192, 66889, 6670, 104891, 38935, 1875, 45170, 3303, 96839, 772, 3134, 41094, 34782, 66145, 43963, 48995,
  39492, 21237, 117116, 33731, 19396, 265866, 122508, 109994, 41332, 31277, 72923, 726, 6250, 12016, 13536, 75815,
  5511, 102922, 12522, 133050, 19492, 24257, 18746, 2693, 51304, 63505, 129615, 231652, 25936, 33108, 79906, 94200,
  104466, 80492, 72337, 73422, 54099, 254560, 176028, 6993, 73771, 49079, 55319, 58712, 86115, 97967, 23109, 55938,
  5080, 244577, 48923, 66103, 7669, 640, 49551, 74043, 30891, 80537, 202612, 47981, 111700, 26871, 4345, 17399,
  13931, 293811, 135578, 107640, 25276, 30158, 17676, 15676, 72289, 37101, 1637, 43083, 135447, 37641, 14254, 111332,
  14820, 13404, 34584, 56626, 258641, 7240, 63894, 83112, 25265, 17841, 32376, 48491, 31005, 66732, 30950, 9648,
  281179, 112290, 34755, 61683, 75286, 5189, 100077, 59697, 393, 103531, 23185, 179430, 95359, 298178, 110282, 125995,
  14623, 78807, 24189, 26684, 13584, 47803, 47440, 29923, 6680, 25153, 12281, 81189, 101227, 5727, 57666, 53928,
  80173, 157148, 23623, 17510, 44933, 56582, 107749, 28680, 76666, 75185, 175076, 32262, 54542, 14210, 77349, 27496,
  13244, 83199, 3441, 55821, 39348, 3757, 3667, 123147, 458, 15000, 19818, 5639, 25379, 68555, 51878, 6205,
  109451, 7850, 13287, 9188, 134348, 386526, 16856, 19356, 81143, 264611, 26487, 30169, 6959, 42394, 96934, 7084,
  65554, 79211, 22545, 21576, 12027, 4118, 60397, 13483, 51311, 75590, 42156, 36096, 8716, 11493, 42998, 11218,
  57589, 275790, 7172, 33265, 140731, 69517, 43030, 8376, 28467, 43930, 2234, 31591, 23316, 47974, 14197, 146070,
  17272, 6751, 33924, 168150, 30458, 113416, 293380, 11766, 25980, 203311, 28924, 162345, 55229, 20334, 34079, 27402,
  77197, 13365, 186022, 69870, 83798, 55050, 364150, 25353, 28302, 1155, 109582, 70417, 114784, 7067, 16416, 132275,
  7428, 45143, 48146, 46692, 34548, 35154, 92593, 5358, 26241, 23637, 54860, 9482, 14712, 7966, 32576, 13535,
  39336, 35734, 47925, 187574, 103304, 90255, 22548, 13788, 18928, 36142, 63464, 150312, 54080, 263654, 319602, 6537,
  12870, 133946, 9773, 20050, 334, 130222, 30305, 136258, 87722, 40831, 167627, 13993, 15208, 85494, 50771, 220399,
  16895, 50769, 10053, 113498, 142098, 93461, 17165, 99681, 114262, 41550, 192972, 66158, 39820, 17436, 87519, 144390,
  83913, 82212, 14723, 8746, 57817, 78233, 11144, 30225, 28682, 86362, 276167, 25943, 7721, 38719, 161361, 102297,
  14900, 88287, 14336, 12092, 108672, 42339, 328, 10290, 11250, 44623, 111087, 145880, 62246, 20511, 67542, 263445,
  42849, 24396, 94945, 30646, 415188, 26446, 102124, 18065, 1724, 4925, 110914, 163915, 26555, 176996, 8050, 33583,
  24549, 11288, 16296, 29023, 25505, 6867, 86739, 11159, 26443, 84520, 68545, 10696, 107450, 65107, 90951, 10518,
  145899, 31404, 52435, 29234, 61035, 11336, 53944, 64679, 43528, 83757, 4052, 13189, 6901, 39247, 35310, 26976,
  60726, 185599, 8030, 4198, 65906, 57296, 259345, 122777, 267741, 2857, 142950, 19003, 21338, 112410, 33257, 200700,
  147590, 74901, 51360, 32601, 42079, 29847, 124456, 34389, 18924, 20790, 120555, 65991, 73017, 171882, 21281, 26841,
  135236, 5978, 4123, 303, 15393, 27267, 28700, 249892, 5206, 105391, 162130, 107419, 4026, 62796, 18843, 50664,
  84185, 9681, 10383, 108809, 1531, 34176, 8061, 39095, 5988, 39057, 7403, 4419, 113890, 60683, 85058, 11712,
  82647, 76332, 51237, 903, 303391, 133929, 25009, 138549, 7386, 175781, 132183, 3037, 69844, 21065, 30442, 4101,
  71611, 155271, 265989, 32740, 189865, 56230, 135927, 48500, 76523, 108510, 11776, 16685, 31877, 27734, 41614, 24689,
  13315, 15066, 48022, 4309, 19314, 41098, 90569, 30515, 198575, 24381, 154303, 42859, 32821, 78665, 30662, 14747,
  1928, 59755, 28149, 70209, 67641, 20901, 5264, 50251, 25913, 66241, 490439, 175537, 104475, 97516, 78264, 91266,
  103489, 23865, 183520, 34766, 3297, 275917, 146670, 25323, 70391, 25755, 49964, 164202, 18406, 31978, 16441, 52632,
  15446, 24429, 4215, 37736, 113347, 8883, 22563, 15500, 19295, 41760, 78521, 113283, 93790, 25764, 24081, 23658,
  27856, 43669, 81754, 11052, 1792, 147034, 105048, 59257, 167471, 86802, 148695, 15116, 116449, 115822, 22405, 24926,
  8541, 22171, 31801, 33192, 4408, 12297, 301197, 138987, 41757, 44743, 115490, 73003, 63233, 12310, 113745, 80287,
  25765, 1137, 45241, 12509, 86680, 100507, 15502, 82114, 64501, 29571, 9042, 4784, 27034, 836, 106118, 79642,
  24816, 19191, 71859, 10806, 34975, 35721, 20447, 33671, 6079, 126054, 58217, 78753, 4486, 35660, 45492, 39072,
  49693, 135128, 38873, 1595, 36229, 21988, 86413, 27520, 16917, 83041, 32578, 42649, 21581, 17612, 3706, 5582,
  62426, 61684, 21930, 147493, 27862, 16374, 25590, 69477, 11612, 15240, 18552, 19226, 54284, 19154, 205, 44618,
  35702, 62029, 11975, 135778, 194034, 34324, 9287, 92145, 355, 83533, 389, 11125, 24277, 28651, 33600, 110599,
  48262, 80091, 24087, 86535, 87411, 65839, 48531, 5435, 70504, 1680, 141541, 34304, 310164, 9214, 109239, 74125,
  118018, 80462, 100258, 37839, 12516, 18111, 111964, 15304, 47559, 22475, 250341, 55009, 43502, 72785, 26068, 56283,
  57433, 145320, 83034, 101357, 107139, 13166, 65124, 29871, 9290, 47434, 20163, 28721, 66533, 101179, 26384, 119496,
  80863, 26599, 33186, 50921, 14634, 49049, 8156, 90368, 34312, 71503, 2924, 84269, 91725, 54206, 70953, 60570,
  28606, 1961, 1020, 118183, 21342, 60064, 25713, 117531, 67241, 26343, 257386, 77026, 72355, 28646, 61026, 94224,
  43244, 94932, 4601, 230976, 375789, 103456, 58534, 48852, 37402, 24109, 241400, 52782, 174015, 1515, 35127, 236213,
  105070, 41444, 3868, 195472, 8342, 37810, 28026, 30469, 44167, 123934, 17110, 49127, 67494, 4950, 89802, 22448,
  1890, 32145, 62103, 193571, 16365, 8100, 2759, 59208, 11723, 30626, 54047, 111425, 271002, 34847, 30791, 102173,
  1865, 152807, 44228, 16334, 47918, 19851, 52637, 48405, 8350, 22131, 69413, 35540, 45564, 53848, 57537, 202520,
  27742, 16511, 37103, 9857, 25110, 80964, 59758, 10709, 125803, 10945, 60525, 12999, 8553, 3885, 21820, 165805,
  49504, 26657, 12487, 30455, 81925, 76254, 4388, 51128, 62211, 301599, 142773, 27276, 4534, 106190, 11978, 19483,
  15491, 115826, 50411, 58796, 19011, 32938, 119108, 220904, 80373, 67031, 70541, 4859, 206920, 6090, 19310, 22573,
  667, 55921, 9933, 6880, 102405, 3647, 62961, 136965, 128623, 63897, 23416, 79705, 245524, 144775, 47359, 10859,
  5553, 97850, 6803, 18191, 113309, 30019, 22922, 29253, 192739, 61644, 10879, 93327, 65766, 71215, 147457, 80167,
  19567, 55770, 29797, 29274, 22832, 23356, 42325, 44027, 261958, 72646, 19852, 9637, 29679, 36046, 49336, 14687,
  21293, 77708, 14113, 74893, 71134, 200672, 39308, 12740, 20962, 86248, 26029, 50842, 105123, 136390, 98208, 22087,
  24721, 49911, 106064, 73490, 860, 163439, 14873, 41067, 21752, 30501, 145265, 76566, 33448, 28437, 8815, 16951,
  18372, 74873, 29462, 32916, 157167, 37777, 218069, 57242, 94822, 93459, 63003, 77897, 35770, 25963, 42205, 118099,
  173224, 15519, 76989, 16637, 232737, 22211, 31315, 67805, 75729, 4140, 57334, 9310, 28937, 79865, 138213, 106821,
  46828, 51030, 76484, 117312, 28062, 12545, 71393, 159499, 25453, 210547, 151602, 22228, 5207, 75071, 53864, 71005,
  140366, 13537, 2178, 11825, 36665, 45071, 70308, 57129, 30652, 16553, 302183, 10738, 6169, 43148, 24995, 57331,
  67920, 86667, 244672, 341687, 150458, 19053, 961, 107389, 92040, 192870, 41097, 22344, 23186, 119577, 34986, 45018,
  184604, 177949, 6669, 18473, 92330, 10137, 20330, 189512, 20891, 13257, 66265, 48954, 176492, 72915, 219860, 2494,
  49427, 18529, 56158, 30214, 27828, 171123, 69463, 40254, 38305, 23967, 79164, 66024, 42495, 299257, 23031, 106341,
  143982, 353, 39736, 75709, 49560, 70040, 243406, 1642, 25503, 56434, 81502, 48303, 90043, 52859, 24462, 43046,
  29747, 41457, 23434, 42918, 65328, 52708, 5329, 21975, 47830, 3326, 160281, 95290, 12932, 95952, 35520, 107324,
  11068, 52610, 109869, 64849, 77721, 9674, 61370, 154578, 9003, 27427, 87582, 116020, 25213, 95646, 34677, 3719,
  94205, 2145, 19568, 65295, 140426, 3088, 26113, 131686, 46090, 188040, 30031, 72073, 89945, 2538, 23463, 34360,
  138173, 3342, 84724, 64829, 192691, 8206, 251775, 2536, 33329, 64010, 2755, 48205, 112232, 33297, 244729, 27663,
  129905, 107744, 55337, 67101, 35709, 152617, 74645, 44141, 27514, 12925, 107358, 33190, 1841, 66538, 7298, 34436,
  19957, 54584, 3634, 41173, 31411, 2298, 3434, 77461, 127476, 54373, 77688, 7987, 53572, 15128, 19113, 176061,
  17497, 39049, 101234, 59914, 173549, 48281, 54139, 65147, 55063, 16371, 43136, 40263, 175135, 13721, 69771, 59399,
  19841, 1955, 57439, 88361, 69314, 130279, 804, 37567, 5192, 185175, 75166, 10500, 237921, 127018, 7558, 35337,
  117660, 21372, 36787, 27678, 150697, 7, 190870, 106339, 4060, 7260, 122007, 5881, 273045, 63325, 39801, 38618,
  50414, 113953, 105525, 17559, 98940, 56463, 347332, 34915, 65348, 25837, 82591, 5365, 153665, 27182, 7831, 15055,
  164423, 1182, 30831, 177372, 58804, 5448, 49128, 44734, 156695, 4975, 125400, 91561, 48994, 97252, 49285, 17162,
  213928, 127791, 49987, 50768, 86036, 12840, 111058, 253850, 28608, 197563, 19740, 127785, 8355, 34689, 65656, 32199,
  39574, 8110, 23600, 97524, 34540, 38651, 19006, 29152, 16927, 100216, 30893, 172304, 135680, 31450, 91503, 54177,
  18374, 32795, 63764, 459294, 151587, 85350, 39064, 13067, 10830, 3717, 20553, 32482, 53805, 108785, 109353, 20145,
  16878, 76255, 16289, 14152, 16623, 3446, 23337, 31309, 4282, 24663, 64821, 61752, 48030, 64655, 21808, 264145,
  8537, 50728, 25184, 49171, 14986, 13324, 23567, 199062, 46102, 179857, 99718, 369654, 13062, 27072, 2232, 105686,
  72897, 219385, 64202, 22442, 72, 52447, 22847, 94762, 33050, 52976, 8735, 2293, 108227, 50715, 42136, 12707,
  39451, 45981, 114988, 190349, 45935, 22798, 12654, 1, 651, 11355, 22585, 15841, 113320, 18682, 87649, 22561,
  40535, 140869, 61447, 16658, 95176, 80270, 61544, 83797, 57450, 101532, 133714, 89999, 48843, 172813, 18252, 163124,
  5003, 103269, 9853, 67492, 19019, 55271, 3109, 55823, 10407, 119899, 97338, 54114, 211163, 4927, 123086, 69260,
  3848, 55061, 18449, 12690, 1068, 37710, 26424, 11375, 4988, 41383, 92404, 48881, 32091, 48305, 36150, 113778,
  30095, 105405, 16612, 40433, 41692, 73917, 51729, 55139, 15099, 30180, 50, 16916, 43602, 95240, 47258, 86059,
  107434, 94751, 15026, 33649, 50744, 49046, 74109, 13167, 7627, 11804, 18035, 3335, 171349, 35806, 44194, 37671,
  16313, 34545, 198682, 35794, 150832, 210760, 258621, 12579, 352665, 110221, 193929, 21773, 207750, 141990, 78065, 65827,
  33937, 281, 49827, 8372, 38256, 111292, 55786, 57932, 51091, 10740, 12648, 39213, 156000, 72468, 27361, 213358,
  87889, 22207, 42213, 35711, 90663, 88229, 37662, 37545, 84175, 5983, 52865, 9162, 24908, 28484, 109135, 3656,
  114900, 154191, 40016, 143364, 50365, 4998, 47423, 91888, 31494, 33385, 89791, 113590, 83829, 74958, 6063, 23411,
  5398, 3346, 29188, 43992, 169342, 124619, 152146, 38176, 47521, 837, 5847, 40491, 54818, 14886, 64782, 79830,
  18935, 46064, 22834, 11304, 8356, 14908, 14164, 58309, 43094, 59761, 58932, 55478, 41212, 27362, 8157, 45308,
  174536, 290996, 677, 204177, 10082, 87199, 60656, 99512, 92550, 18666, 17670, 8755, 6678, 78663, 12108, 219237,
  60614, 81551, 23867, 117589, 23355, 14754, 99693, 35914, 69721, 75856, 71852, 97445, 14796, 53501, 37755, 5823,
  34149, 11053, 56010, 32326, 128830, 80883, 474, 3312, 58187, 4593, 94897, 82655, 3179, 117179, 34370, 37073,
  208, 174, 40568, 42678, 40325, 118866, 28501, 3518, 28399, 91754, 79629, 270203, 225029, 103041, 171673, 19198,
  401412, 202372, 71959, 27441, 51150, 57934, 46575, 551, 31580, 48734, 52559, 6830, 207268, 88303, 10399, 26375,
  6657, 26942, 1499, 28435, 10993, 84614, 864, 33684, 69818, 63313, 138059, 44306, 64282, 22203, 52406, 127830,
  289845, 11019, 2908, 36009, 23308, 8408, 38414, 42453, 12961, 116672, 9638, 175093, 38447, 99982, 7614, 4603,
  6681, 54049, 103103, 12820, 52944, 2652, 87605, 137098, 31855, 44982, 31388, 16335, 2572, 234999, 76439, 59626,
  47646, 105458, 231, 16630, 120728, 71649, 54479, 42672, 179148, 62338, 5367, 4698, 37240, 85883, 273485, 122580,
  45196, 6452, 17224, 35656, 218274, 532, 77135, 92225, 4816, 24612, 23330, 78494, 3695, 84373, 30447, 293164,
  21961, 19227, 40712, 50432, 50084, 83383, 130654, 3512, 35209, 106119, 26859, 2775, 18073, 188766, 9641, 22040,
  51452, 7828, 120628, 59247, 27004, 7212, 84542, 50515, 6100, 130271, 27415, 45596, 33941, 106546, 4823, 107962,
  1377, 42166, 117980, 25577, 84831, 24787, 184967, 17471, 171214, 62502, 4444, 8334, 85, 27407, 295919, 244072,
  141510, 43179, 145423, 52704, 9078, 33296, 18231, 71008, 99227, 13981, 68573, 4322, 32610, 51176, 165546, 3853,
  6417, 145489, 23086, 27479, 11718, 56566, 19653, 100740, 49868, 121955, 56420, 11535, 65579, 132995, 125548, 43942,
  87902, 58981, 4510, 84294, 73018, 226515, 1295, 68198, 49062, 157567, 27234, 124146, 46280, 100486, 144184, 15600,
  61742, 26572, 61714, 65125, 21512, 7799, 35874, 6311, 40862, 35522, 45414, 16108, 107733, 43364, 9206, 73819,
  15941, 51689, 82329, 40065, 29168, 48562, 85845, 69609, 157765, 60708, 25387, 1180, 144919, 159797, 25726, 214431,
  14487, 5968, 68537, 109664, 5767, 13490, 63443, 104676, 158014, 10404, 26593, 10161, 140070, 96476, 96798, 10196,
  7241, 29156, 51314, 97628, 573, 118109, 8622, 3106, 71584, 57894, 84024, 11036, 16921, 66038, 61545, 106441,
  223566, 16117, 74626, 3336, 40331, 47655, 20982, 117267, 179473, 76397, 121704, 23368, 35081, 186150, 1889, 47653,
  47926, 33122, 15734, 26894, 140885, 14802, 76951, 41988, 41508, 57629, 16634, 12405, 52104, 20107, 218288, 100668,
  59180, 73629, 1683, 30932, 42310, 64739, 20003, 6633, 32811, 26700, 39873, 153638, 29048, 2831, 22955, 8961,
  123517, 244356, 25796, 26746, 102413, 144572, 12002, 20480, 80208, 92037, 145215, 65587, 10104, 70587, 35982, 10208,
  14746, 188951, 116180, 117036, 12649, 257536, 49699, 32220, 153641, 10918, 10962, 51792, 126022, 13715, 104110, 23594,
  37965, 15247, 6442, 44822, 113017, 28398, 13830, 44800, 4171, 120616, 5418, 1810, 83, 42459, 4381, 81522,
  142592, 107242, 4170, 85703, 2809, 7049, 62349, 190193, 6362, 36642, 21195, 33097, 50416, 52066, 84992, 65769,
  71323, 20902, 52748, 114648, 116894, 25884, 34351, 102634, 260776, 19638, 86892, 17434, 16204, 19854, 106540, 27954,
  1524, 13745, 42151, 138947, 5760, 153807, 35075, 95356, 30351, 27161, 68708, 53500, 12658, 22077, 63851, 8487,
  20703, 57740, 44334, 64734, 54403, 39682, 77475, 5602, 36083, 1112, 36181, 71932, 45408, 99180, 206226, 42336,
  74772, 77663, 25805, 117083, 4946, 39476, 36769, 30289, 14485, 5872, 59638, 72213, 50759, 23451, 882, 2453,
  111222, 168615, 130208, 48836, 10890, 90002, 55698, 21422, 2195, 35834, 39131, 16781, 167147, 16091, 54925, 18399,
  92962, 80011, 5820, 4726, 130534, 187899, 869, 40302, 16283, 28616, 86006, 14823, 177256, 25701, 70837, 29786,
  35016, 19926, 80067, 4711, 15472, 93684, 2584, 58032, 210156, 70971, 75498, 15685, 151187, 60994, 38213, 13471,
  73922, 9338, 117718, 24543, 117691, 15713, 45967, 200243, 43250, 36553, 35694, 36433, 52051, 152826, 305512, 217989,
  37392, 40189, 4153, 56219, 24811, 51616, 37703, 87103, 24358, 84298, 167734, 60608, 30830, 95114, 82423, 123075,
  5775, 16326, 137007, 23746, 818, 184283, 59155, 49161, 21969, 92570, 27322, 24660, 1476, 194447, 116982, 30577,
  127322, 117428, 1856, 80745, 151783, 5171, 15901, 75451, 58392, 49455, 93446, 42926, 31021, 17030, 17243, 171279,
  106913, 15354, 115117, 51694, 65215, 88371, 23841, 28644, 89407, 71198, 6973, 57127, 90802, 67682, 21453, 30346,
  28531, 59792, 72619, 106195, 11690, 597, 21636, 30078, 20234, 8145, 91408, 50011, 95249, 25250, 66246, 24442,
  44602, 12103, 41001, 105897, 37256, 44489, 85248, 1331, 18707, 29983, 310182, 6411, 11928, 10116, 19299, 122916,
  5161, 82625, 56098, 136518, 4410, 33338, 119068, 31371, 26571, 52839, 11442, 358, 51903, 115795, 48253, 212226,
  49768, 72313, 32154, 54738, 22008, 16766, 174325, 98378, 25252, 9732, 16533, 147195, 65780, 41940, 24564, 81099,
  209499, 21378, 137617, 184321, 68769, 172072, 71325, 81618, 203726, 24974, 21300, 111798, 13249, 30461, 47901, 78074,
  137363, 96937, 205703, 15259, 48845, 38294, 28061, 109460, 86823, 28722, 44363, 19999, 6658, 142277, 14939, 11150,
  5674, 45392, 60588, 177764, 31881, 6786, 145293, 13598, 1083, 12784, 3617, 14433, 1823, 25033, 79112, 70251,
  108676, 88876, 67887, 11458, 34518, 12199, 148504, 65495, 166752, 78027, 54905, 18762, 13791, 20914, 58692, 1568,
  14287, 15068, 7216, 15244, 91576, 191867, 58273, 3830, 91429, 78507, 84897, 9770, 8665, 7954, 43039, 48860,
  11529, 61697, 166056, 55960, 26401, 61415, 290831, 12539, 16191, 30889, 13589, 1191, 91972, 41144, 4955, 34048,
  30964, 87299, 107280, 64425, 5254, 43169, 46627, 18402, 28486, 30816, 67369, 1564, 54697, 41405, 16000, 32524,
  79613, 30190, 43938, 8057, 66520, 53870, 1494, 247505, 18447, 16053, 29278, 66743, 22870, 25668, 1648, 14080,
  45203, 1341, 40989, 119871, 194466, 122534, 8385, 58819, 22822, 35970, 12729, 29360, 51703, 27032, 51912, 51956,
  12278, 36617, 79242, 39507, 76716, 85023, 73180, 18140, 44595, 125017, 191485, 174629, 73455, 77570, 220522, 125113,
  33546, 90187, 62766, 35279, 12235, 8675, 15151, 50393, 144843, 26013, 205214, 46310, 36154, 69776, 28572, 32563,
  51247, 38454, 4595, 42074, 11116, 86835, 30706, 10273, 33040, 34204, 54246, 91737, 3180, 77652, 106293, 106121,
  225753, 62203, 83244, 49829, 60864, 33244, 3262, 132227, 1972, 167168, 175800, 113557, 28469, 1342, 99125, 98666,
  12891, 8033, 119055, 3277, 28879, 37357, 275688, 62785, 10338, 60445, 97431, 99394, 144157, 1870, 20794, 59985,
  56294, 1569, 12614, 65686, 353058, 24023, 105292, 40234, 38302, 59113, 20587, 39754, 41447, 7733, 28382, 149537,
  87532, 70154, 27770, 8584, 110616, 28877, 50839, 33339, 27065, 8349, 41578, 41373, 168438, 10230, 58202, 18179,
  6557, 87189, 41859, 112308, 1213, 37229, 12748, 127395, 50804, 25519, 6813, 29126, 144643, 51945, 3761, 173270,
  24817, 37177, 11538, 1953, 2390, 71610, 55025, 12286, 136531, 8290, 7081, 13438, 38174, 12201, 368643, 56955,
  247513, 86715, 29189, 151151, 16190, 44518, 9116, 26301, 4059, 29547, 121363, 528, 122791, 104758, 128283, 132963,
  131994, 18283, 17120, 57082, 137430, 286470, 90537, 63450, 39506, 73884, 58318, 16044, 57650, 17259, 42080, 17885,
  16305, 157015, 93813, 43437, 5188, 134150, 32055, 268669, 54309, 84632, 18425, 114608, 106128, 82465, 25150, 81372,
  20628, 50827, 203900, 88756, 88071, 113318, 88552, 32344, 67394, 25784, 120662, 65041, 395446, 1313, 179364, 2878,
  250285, 16496, 42810, 142259, 66176, 14834, 29115, 136061, 91254, 103667, 12871, 26008, 1399, 9634, 6954, 97146,
  114196, 292674, 65716, 14216, 43915, 106501, 379, 35470, 60230, 24709, 71955, 28003, 44853, 42762, 19842, 9247,
  27206, 76172, 35445, 42656, 106353, 30864, 56216, 217302, 43013, 490, 12455, 125743, 18733, 112917, 66668, 5890,
  345105, 38120, 9856, 28648, 226453, 13944, 99130, 54004, 51202, 214051, 47536, 22937, 16607, 40104, 54194, 4979,
  57106, 15086, 23012, 12071, 117175, 174267, 29878, 59251, 35492, 196132, 120077, 81399, 10476, 19539, 129457, 31908,
  89598, 42460, 90787, 28424, 127439, 6776, 101077, 81013, 15187, 1074, 58103, 66003, 39624, 68595, 18810, 173127,
  13688, 6576, 66630, 43484, 61570, 92693, 65418, 85754, 10615, 177935, 31294, 91906, 31111, 386524, 52324, 16388,
  59370, 52508, 156372, 25357, 6238, 72256, 41599, 57828, 175252, 163986, 132645, 50076, 32143, 95350, 15564, 103443,
  224492, 75148, 26023, 120071, 41388, 19532, 110427, 22508, 95408, 89126, 17624, 37562, 34384, 9140, 91145, 109567,
  148238, 18379, 47470, 5638, 78307, 70465, 82451, 53859, 38959, 18925, 14088, 22217, 9340, 26777, 74821, 42124,
  160091, 16523, 3150, 97181, 61443, 8097, 65561, 68601, 15737, 115420, 25095, 57655, 11216, 70875, 87640, 78471,
  41244, 28465, 55017, 134190, 170, 58246, 16739, 39956, 38299, 255505, 2797, 2174, 102443, 13841, 69822, 12621,
  113097, 6991, 123270, 37586, 26382, 47496, 42833, 10023, 14027, 38076, 52804, 80220, 33707, 4788, 3121, 7610,
  3957, 167985, 5094, 37233, 76300, 62786, 189431, 11488, 66160, 1236, 76849, 5333, 19431, 42643, 23661, 46201,
  18900, 8417, 18568, 111327, 6952, 44621, 24495, 38741, 1717, 138255, 22782, 46607, 108656, 236097, 24621, 9067,
  82206, 38888, 253672, 45369, 188021, 74422, 200471, 3792, 257335, 14028, 151249, 5429, 27295, 141619, 22966, 27219,
  43999, 105930, 97394, 24617, 41210, 3333, 88262, 22024, 31777, 58259, 8812, 91559, 46956, 22151, 60598, 161311,
  57457, 123650, 86473, 64439, 12657, 10686, 130688, 112742, 11489, 53274, 26714, 21670, 15697, 30443, 104596, 7868,
  48060, 22775, 3022, 19869, 204748, 16977, 184709, 89313, 53583, 83928, 92875, 99194, 82422, 96190, 2556, 47490,
  284790, 12772, 5841, 48964, 30503, 33825, 99246, 251304, 137341, 36338, 22912, 3614, 8120, 31432, 14001, 2727,
  19615, 36074, 75714, 22938, 220311, 52593, 32987, 17971, 15991, 102877, 210170, 136379, 10217, 43348, 155559, 9056,
  63424, 28650, 29017, 9663, 9808, 49301, 50859, 10641, 67431, 17280, 61331, 20739, 70976, 97391, 58235, 36525,
  98221, 122956, 57506, 98979, 4491, 86694, 28324, 129, 15177, 9809, 3222, 215310, 28535, 4761, 16001, 1184,
  144789, 181348, 54083, 88078, 751, 22452, 65081, 1577, 13230, 27685, 98822, 56681, 2394, 90263, 54478, 144599,
  1504, 78572, 173001, 99606, 33977, 33470, 29437, 39886, 132104, 10699, 34506, 36978, 30316, 13646, 16311, 29262,
  22230, 50283, 49086, 343445, 931, 13052, 125899, 139325, 97193, 24009, 38257, 76027, 185240, 47587, 137522, 115144,
  24826, 38532, 19149, 8495, 22687, 75105, 130036, 15268, 174322, 68514, 245144, 17081, 15307, 34585, 208142, 75209,
  22988, 36011, 65, 2906, 1390, 60888, 44865, 144040, 188745, 118480, 95778, 32437, 180325, 4138, 10609, 92925,
  29580, 8808, 159680, 42631, 59068, 29860, 171355, 10899, 74903, 33949, 320605, 9425, 18994, 26854, 7737, 53509,
  29195, 107306, 35880, 21197, 79, 68771, 286937, 4362, 15436, 42681, 71303, 124778, 7622, 25028, 9618, 122572,
  38462, 11060, 66457, 65269, 11566, 72952, 5073, 71968, 138710, 28743, 12069, 66022, 44828, 82002, 156524, 81292,
  45774, 14165, 218072, 86389, 37768, 116234, 37323, 222673, 99236, 417011, 6380, 170851, 68137, 22809, 50851, 17147,
  84083, 118504, 78497, 64504, 19282, 56977, 84684, 68011, 22698, 100149, 2846, 125107, 17134, 46339, 16369, 72262,
  74807, 15652, 17984, 99115, 126662, 49499, 64245, 224198, 173497, 81277, 63478, 3449, 46248, 2829, 31143, 91485,
  16938, 9355, 21751, 89231, 119735, 2651, 2158, 25221, 3212, 1095, 134321, 26633, 28292, 72271, 10874, 18895,
  213652, 343495, 36158, 6930, 49013, 9714, 53844, 16595, 9975, 99720, 38334, 23140, 32180, 298162, 284394, 20189,
  45660, 51804, 12038, 74719, 86250, 44131, 68813, 48629, 4801, 41574, 219878, 76411, 68788, 91859, 17071, 199893,
  95490, 13890, 126132, 21590, 77482, 5070, 117208, 183553, 113751, 775, 118421, 47980, 11994, 16510, 60560, 22757,
  44624, 41900, 22489, 161977, 94452, 40768, 256639, 97607, 46839, 15049, 48016, 183793, 128497, 40127, 59466, 43034,
  100316, 61744, 20099, 72276, 5798, 4254, 61106, 151277, 58588, 78938, 208785, 23350, 73184, 13401, 114456, 168253,
  202987, 128773, 32481, 9314, 65417, 80566, 15061, 20781, 37790, 80269, 18985, 16154, 88524, 11484, 16349, 5922,
  1606, 101590, 83867, 4032, 43156, 17265, 40946, 123245, 97964, 46724, 2142, 201438, 105717, 55537, 40251, 107387,
  34947, 130879, 26300, 2025, 11203, 27400, 9384, 6700, 100060, 93137, 120697, 32781, 37742, 97514, 147819, 50972,
  130074, 43696, 152282, 11325, 93653, 25846, 60051, 100451, 107799, 99294, 5187, 187837, 94311, 19648, 17481, 47149,
  196106, 2484, 185532, 68892, 41347, 6476, 26576, 262, 8035, 144425, 16194, 7546, 10780, 99032, 192083, 18268,
  16390, 38046, 139599, 36447, 27883, 48800, 8802, 104301, 118236, 16610, 9043, 30215, 167395, 15722, 14540, 10143,
  1979, 18303, 245965, 6606, 25006, 56388, 720, 40122, 19375, 26986, 4175, 5283, 31628, 70617, 156858, 13338,
  18916, 50924, 158448, 13314, 144723, 40846, 148751, 33355, 78502, 66354, 52938, 44935, 114047, 29390, 83010, 31740,
  103107, 187158, 28282, 6840, 86492, 173457, 46403, 22614, 107686, 143217, 20089, 170121, 5844, 9860, 56485, 104630,
  20934, 42133, 9301, 19064, 206963, 93906, 29729, 27462, 23556, 248023, 29615, 24218, 22591, 27525, 19222, 62444,
  16562, 40084, 90324, 40232, 146333, 178921, 45549, 11142, 20167, 301568, 34164, 125423, 10471, 17862, 4749, 774,
  117434, 30213, 12597, 85041, 33085, 58865, 17338, 4578, 2863, 16515, 49743, 2267, 9740, 64838, 32867, 305033,
  36669, 34833, 20474, 42789, 41849, 24106, 210964, 124297, 37271, 24216, 53900, 123495, 22790, 8477, 175065, 22886,
  18209, 95189, 3313, 32543, 28979, 29761, 127609, 71172, 8231, 87016, 63834, 20159, 12952, 70904, 466787, 101605,
  54408, 2160, 17597, 57212, 21731, 165012, 21316, 33552, 25130, 56209, 46615, 46375, 45208, 106318, 31681, 64073,
  55748, 7104, 76381, 85964, 138120, 4075, 21570, 28070, 75826, 73539, 7912, 79024, 414, 177899, 313993, 67507,
  29593, 5743, 4806, 12800, 9925, 25560, 9189, 117626, 292865, 50234, 102480, 16382, 25999, 50641, 18440, 9929,
  683, 55242, 2340, 1064, 123149, 61826, 15245, 38280, 7036, 24794, 44030, 43924, 92159, 34247, 66141, 23809,
  86055, 215911, 128281, 150909, 61827, 53182, 142185, 14010, 103680, 51751, 108481, 22354, 23176, 13327, 14346, 152541,
  54918, 99104, 95228, 63611, 58466, 81038, 32483, 69723, 57578, 44054, 189180, 149427, 13305, 19749, 43628, 89334,
  5709, 43087, 18148, 4104, 86479, 50105, 64469, 20382, 16697, 4708, 14117, 130911, 31064, 73543, 33459, 45627,
  17660, 15860, 57462, 86199, 200919, 78755, 79677, 80038, 10770, 87019, 8576, 17552, 49793, 46030, 21495, 35725,
  33423, 27589, 152364, 6318, 32370, 142933, 34912, 78214, 52047, 54699, 36052, 229203, 16488, 20327, 25789, 14697,
  62555, 29116, 9656, 6836, 6459, 16067, 47438, 81922, 8426, 32236, 21951, 67133, 83493, 104694, 49662, 4774,
  7763, 74850, 270584, 335979, 59725, 82959, 82821, 18110, 82812, 14354, 2193, 9843, 18628, 69780, 24991, 112338,
  67760, 191557, 92348, 79071, 79405, 72842, 11351, 56088, 68557, 139675, 23222, 148134, 9612, 12610, 21344, 25747,
  7673, 584, 17873, 39734, 28102, 18328, 10063, 14720, 56517, 1902, 69798, 38307, 69620, 33351, 1174, 19948,
  171797, 67288, 84834, 16123, 32458, 25946, 172250, 8199, 29541, 28207, 15618, 8731, 15870, 23596, 47369, 57922,
  81109, 26904, 26073, 8326, 32080, 57471, 44892, 162057, 207644, 334076, 10101, 4119, 71495, 49601, 2592, 19742,
  21202, 14849, 98354, 61825, 11039, 158223, 75426, 119901, 91036, 68746, 116495, 8557, 61230, 102302, 14765, 75658,
  2810, 4942, 28526, 36256, 130800, 67752, 202742, 33081, 32260, 193926, 185696, 4064, 4613, 295863, 166466, 13260,
  60590, 1252, 145391, 2657, 37112, 87184, 227365, 8194, 75214, 88155, 115530, 90924, 33979, 90533, 27556, 51339,
  126402, 49225, 196178, 34452, 155062, 4813, 17478, 33954, 30642, 120974, 35852, 38833, 63875, 31380, 62028, 58381,
  12810, 7419, 98274, 1977, 194463, 145760, 23510, 116833, 82799, 19072, 2433, 145655, 47664, 4834, 69147, 46751,
  16725, 33328, 38665, 115531, 36685, 76090, 11537, 18743, 43367, 17948, 23978, 41370, 61099, 40095, 66518, 999,
  449, 217319, 6688, 250897, 172150, 20516, 11330, 20451, 102867, 21452, 159960, 15660, 21691, 82391, 6601, 43312,
  301838, 29124, 21637, 110211, 36745, 105335, 60833, 98115, 7130, 2470, 75962, 2011, 18671, 50489, 79569, 101266,
  57316, 81095, 53258, 13308, 34852, 17013, 84541, 47478, 38034, 23762, 162120, 178016, 54182, 33123, 52028, 72197,
  35578, 4602, 243630, 88186, 65900, 67107, 5029, 138288, 99486, 1235, 6540, 165347, 19771, 47835, 318100, 22891,
  3456, 21803, 91103, 57561, 2658, 54417, 30476, 7012, 16914, 55333, 21913, 180607, 99866, 184639, 7485, 8405,
  28390, 37172, 89244, 53674, 28109, 98360, 69082, 3525, 8262, 79773, 254797, 87253, 21147, 105791, 15807, 58442,
  34353, 98558, 30931, 80675, 20006, 3002, 81642, 11376, 4228, 91457, 8547, 21430, 137085, 33238, 42307, 3087,
  1675, 66687, 47814, 34117, 203023, 131032, 24008, 5970, 283196, 124604, 83088, 60714, 198286, 26339, 5149, 82518,
  214375, 8762, 21409, 25932, 163329, 13237, 37495, 3608, 290603, 72236, 1508, 11575, 152574, 55633, 156361, 32414,
  40471, 48043, 3556, 2415, 83506, 9556, 79122, 233954, 30068, 33325, 6305, 159939, 14730, 53878, 89577, 30054,
  23177, 41063, 32980, 17345, 131539, 217504, 35311, 15300, 34759, 144987, 54877, 46496, 27668, 5784, 24491, 1354,
  32178, 129844, 14953, 7360, 71896, 107476, 206892, 65803, 104799, 60213, 3795, 77961, 116305, 72186, 184835, 52495,
  85430, 98086, 108950, 22959, 119262, 214032, 33931, 102185, 42860, 161725, 32444, 24541, 25160, 41398, 6650, 202950,
  8911, 27523, 50156, 13935, 23428, 255875, 23753, 49759, 49437, 771, 101855, 224178, 105322, 141973, 32780, 5494,
  6519, 83915, 103464, 195927, 16203, 18899, 2849, 150029, 6349, 3289, 4814, 219, 74711, 59509, 333, 40550,
  1230, 49476, 28787, 6325, 38045, 10647, 173625, 26321, 8540, 19101, 23643, 21796, 75165, 98886, 256858, 8390,
  44736, 107620, 67566, 91614, 25909, 54320, 31937, 195737, 51026, 52019, 46128, 10676, 317034, 7784, 41102, 123264,
  4984, 106475, 31610, 19260, 32281, 83653, 4280, 61891, 91312, 19136, 38931, 76940, 27060, 33501, 126832, 48333,
  44431, 81276, 41771, 130533, 17817, 6320, 38313, 928, 45363, 59120, 177473, 41182, 155937, 135020, 126653, 32047,
  239085, 115649, 82912, 3416, 35697, 345331, 53591, 16649, 59784, 39055, 46432, 28477, 91993, 8200, 97534, 6307,
  29531, 9129, 30788, 89098, 126740, 20671, 133582, 65905, 213757, 1632, 18153, 20878, 76560, 55987, 68969, 1600,
  167776, 51365, 34575, 216355, 285273, 37934, 49689, 21386, 24262, 69390, 24454, 75939, 8237, 18742, 88250, 165234,
  65030, 85487, 44653, 10365, 41160, 2784, 164637, 7275, 74437, 817, 5045, 54742, 48804, 217409, 12001, 99489,
  118916, 8909, 10151, 74282, 13159, 165410, 3506, 39017, 37842, 24440, 5032, 93366, 1031, 93948, 42413, 34930,
  75349, 36125, 57529, 29308, 1478, 45294, 1328, 29873, 11655, 72323, 80218, 16686, 108777, 112357, 19468, 161527,
  23435, 67822, 30370, 4433, 277425, 199425, 1173, 8369, 101734, 76516, 110263, 4965, 67469, 27648, 64330, 158915,
  70231, 148349, 33642, 19100, 124711, 6240, 206630, 5766, 43532, 60290, 1618, 11261, 28514, 49764, 75380, 44379,
  65526, 33015, 1566, 161773, 54956, 37344, 69904, 6421, 1000, 17254, 11877, 7155, 21882, 13912, 9792, 134,
  17728, 212180, 90771, 66606, 25302, 43754, 11818, 134151, 40952, 12919, 28325, 57470, 52214, 30361, 5898, 7913,
  149632, 18095, 212017, 195480, 1999, 139, 84069, 3822, 2111, 116190, 22381, 104936, 3259, 19369, 7470, 4564,
  63362, 84396, 244911, 82844, 89961, 73711, 23902, 88689, 220561, 81148, 100516, 124589, 39777, 153793, 37780, 13806,
  26335, 4176, 56333, 280949, 9063, 9260, 69363, 258594, 10572, 107880, 12115, 33299, 12416, 68082, 27837, 184178,
  34551, 83293, 68854, 109274, 34623, 9210, 18491, 59555, 38604, 267, 8192, 6400, 24723, 29696, 82525, 68604,
  5947, 72996, 15729, 703, 15588, 23700, 2015, 100398, 69927, 427, 20207, 148402, 66252, 2099, 146853, 12510,
  119177, 37939, 48402, 172082, 69173, 242876, 15286, 133076, 46629, 9996, 20910, 33571, 28714, 132255, 11444, 47791,
  70715, 103704, 9226, 28482, 212408, 75092, 6197, 29216, 20521, 24, 52569, 5853, 406913, 21243, 31218, 77868,
  74380, 146453, 7607, 72181, 11716, 15373, 26582, 8123, 50659, 30590, 227825, 66454, 50862, 49529, 80294, 15517,
  37009, 35230, 69063, 80260, 88460, 38472, 63246, 37205, 130101, 137671, 14972, 60171, 7210, 90428, 50245, 64301,
  53853, 21012, 116299, 19943, 538, 102919, 143609, 50795, 65120, 122155, 20760, 41285, 151950, 28489, 62634, 48588,
  55806, 151533, 4795, 3053, 163748, 44956, 565, 152058, 52837, 23981, 76468, 97083, 13153, 60576, 2112, 50486,
  21100, 377, 192917, 29902, 16674, 14359, 42767, 170627, 64536, 35897, 66424, 6902, 6091, 127107, 4355, 121366,
  138201, 65773, 66108, 41998, 44837, 63222, 69586, 36291, 58547, 23085, 14181, 135294, 3723, 40961, 35006, 126987,
  163, 9211, 49788, 117861, 2177, 37726, 91665, 22613, 32288, 24902, 24789, 76868, 85454, 74752, 103374, 11683,
  34033, 48129, 1456, 23503, 8497, 70596, 92766, 70637, 14282, 304999, 76392, 9980, 25742, 4216, 140344, 193566,
  10535, 16591, 137916, 20347, 10741, 5439, 17749, 74636, 79559, 244434, 10353, 2254, 117493, 6879, 36582, 273890,
  243787, 15483, 5037, 43308, 49337, 29065, 64416, 85528, 100718, 19024, 222754, 60476, 79495, 44751, 64434, 4020,
  40139, 30091, 121039, 83627, 42956, 12277, 115688, 38864, 7551, 37316, 31576, 348, 55433, 10897, 8383, 89713,
  15421, 4329, 42444, 12217, 31509, 48867, 30445, 38228, 23034, 8090, 37931, 30345, 45081, 21129, 36808, 88429,
  547, 39635, 34098, 148415, 61176, 52774, 24919, 16366, 53434, 13434, 146264, 79719, 328001, 5483, 62687, 73315,
  8470, 79268, 19141, 72096, 36263, 44493, 236350, 267628, 30145, 211091, 25890, 14437, 4519, 17070, 79714, 73443,
  74173, 53239, 98936, 72193, 53935, 17849, 592, 6437, 11845, 802, 96206, 13472, 73774, 36519, 15404, 33551,
  60211, 17322, 196495, 29339, 78025, 276332, 54124, 171051, 3, 52430, 53849, 77154, 4102, 16020, 8709, 109741,
  73782, 54762, 26431, 7665, 109293, 2201, 111613, 5780, 315332, 245103, 65577, 66474, 48412, 162153, 10534, 61430,
  26683, 61829, 32733, 13780, 13714, 81304, 58398, 119619, 6865, 107753, 132039, 172363, 20128, 121666, 235595, 131904,
  18490, 178167, 57539, 35059, 104141, 15949, 75689, 5299, 325, 57947, 48755, 8362, 39470, 20406, 30082, 13818,
  171970, 31118, 19942, 97627, 115860, 172133, 40888, 75047, 15707, 107467, 49758, 2751, 7268, 102546, 139896, 5441,
  73301, 107048, 22686, 65676, 74336, 38585, 54155, 188892, 31370, 24110, 165124, 94512, 2368, 74483, 9470, 16357,
  111827, 4043, 96403, 170548, 107757, 169476, 28693, 28709, 136231, 117890, 11783, 151383, 142844, 158445, 124615, 108842,
  97138, 165759, 118091, 170718, 96638, 151535, 50875, 26742, 84053, 96653, 22587, 72385, 38691, 81135, 2787, 15019,
  23801, 14048, 175978, 40360, 1588, 63401, 3408, 17858, 10573, 129113, 76021, 1698, 122098, 41563, 91014, 29385,
  77039, 205898, 31782, 66049, 240, 30201, 29388, 36852, 186135, 119600, 62862, 71976, 146101, 66513, 162780, 57466,
  11996, 13198, 214801, 18524, 18143, 9123, 160460, 15278, 112963, 50571, 55357, 30128, 46171, 94183, 55715, 34086,
  155836, 66742, 311911, 22315, 348769, 10015, 161530, 38573, 47795, 32056, 23574, 5351, 121213, 7806, 95295, 21922,
  116266, 57531, 199257, 102740, 132515, 64909, 90793, 50599, 3344, 13994, 153769, 111152, 144804, 6819, 219255, 121782,
  31286, 2640, 54412, 62437, 99187, 80216, 98506, 1973, 255838, 88342, 73727, 16363, 129694, 9582, 119806, 25823,
  35894, 95168, 13820, 13961, 48779, 36969, 6826, 36122, 55235, 97975, 132524, 23098, 148582, 4514, 57373, 77831,
  71967, 9045, 37633, 44748, 65282, 84429, 23687, 7236, 15174, 64021, 45128, 22679, 13920, 80494, 17542, 17632,
  47080, 10822, 58383, 72334, 6147, 18237, 59831, 194844, 108242, 19788, 180510, 100731, 157593, 30326, 279827, 55366,
  125025, 15314, 11547, 48137, 7136, 21272, 48386, 58395, 1286, 9368, 30466, 43535, 28957, 219088, 24784, 30339,
  127956, 154838, 51263, 15865, 28402, 41075, 56222, 63661, 98813, 65963, 4997, 12583, 20805, 75481, 56536, 95023,
  7532, 156833, 60839, 127105, 109417, 17040, 15236, 207517, 40610, 22003, 924, 154828, 5041, 3149, 61584, 15751,
  32958, 30934, 164321, 30734, 15142, 101107, 30660, 103621, 18408, 12233, 98156, 98027, 108596, 11650, 55792, 146477,
  33543, 50057, 68000, 98194, 50517, 22325, 104336, 17124, 27748, 70931, 26858, 118550, 80114, 17779, 47640, 40187,
  233434, 205828, 163803, 9522, 91447, 45870, 85576, 87308, 487, 32686, 244627, 45444, 37094, 10371, 30263, 37708,
  100048, 61011, 174186, 98247, 30541, 198823, 425277, 43101, 43477, 177323, 58960, 83354, 10639, 14794, 48614, 76723,
  89862, 7677, 6456, 663, 155868, 17446, 160748, 3648, 37667, 44426, 160030, 75580, 8726, 48941, 203882, 126698,
  60684, 139753, 22714, 49200, 237903, 165483, 83252, 25239, 73408, 26534, 38895, 18906, 99589, 26437, 80391, 31962,
  12190, 496, 115352, 1660, 38739, 25624, 25196, 314328, 97348, 164824, 64001, 40502, 3914, 11141, 3746, 80143,
  13594, 164955, 149665, 13939, 2680, 66054, 20584, 29040, 149016, 20350, 30753, 3677, 13907, 48796, 31858, 191904,
  30171, 5370, 40086, 3400, 28343, 12830, 135213, 25267, 23530, 168908, 4125, 25811, 115225, 31603, 26072, 36166,
  61104, 83325, 117213, 11935, 35821, 85360, 2192, 24751, 147679, 4560, 76850, 115369, 14337, 33806, 25191, 101567,
  4297, 2681, 88848, 31912, 244282, 37953, 201, 50311, 24085, 34402, 47251, 10729, 326976, 52264, 7804, 24341,
  56428, 30572, 45401, 26493, 7851, 42287, 88129, 15527, 21303, 2927, 54360, 26880, 131620, 27105, 560415, 199310,
  71446, 41999, 39217, 105002, 83253, 83065, 24673, 2975, 68692, 62597, 80790, 14068, 111870, 19347, 24015, 20919,
  5224, 78599, 21870, 186584, 15813, 2869, 29987, 2229, 38197, 107855, 17170, 8632, 49026, 43883, 59246, 115190,
  45057, 33719, 56476, 34016, 13660, 4646, 58901, 85953, 3306, 180651, 187566, 98029, 76345, 77891, 987, 5156,
  40671, 55385, 6206, 26225, 27905, 8848, 109863, 213205, 91072, 48382, 18078, 2792, 996, 28414, 213905, 5931,
  68527, 112270, 20314, 69524, 62085, 20144, 88213, 73577, 91351, 41869, 10074, 4599, 122634, 53272, 97538, 11166,
  55109, 35551, 37066, 49101, 168209, 72102, 82064, 21549, 2024, 9446, 465, 39252, 27560, 116621, 45956, 29498,
  112707, 228850, 6346, 6775, 17352, 61942, 42228, 65657, 8306, 101094, 17714, 124595, 167115, 53195, 69704, 69894,
  169921, 90173, 145431, 10207, 166958, 58767, 73284, 73047, 5031, 13824, 73684, 160378, 46020, 98056, 31999, 14582,
  11844, 8113, 397, 4778, 67284, 141101, 53616, 155244, 19130, 25923, 170625, 42980, 76185, 10190, 22410, 161443,
  6920, 90784, 3737, 114515, 32849, 78448, 37681, 43864, 5450, 79795, 35899, 56126, 14610, 23922, 5420, 21396,
  22451, 72777, 14065, 9126, 21002, 52416, 92088, 1118, 17392, 26827, 105671, 77612, 31872, 56056, 132315, 124658,
  66682, 14163, 4889, 103995, 84796, 16665, 66442, 3877, 13709, 21423, 164865, 200571, 40210, 92532, 13583, 53632,
  59898, 24828, 103097, 34087, 12029, 98561, 693, 181750, 8719, 55652, 72459, 64857, 53564, 30839, 32498, 14036,
  21462, 17046, 22523, 14381, 91884, 124941, 10727, 52730, 21647, 30000, 89146, 127984, 88379, 88232, 34226, 35579,
  194428, 38436, 60128, 81429, 12754, 39305, 70531, 1282, 37797, 8724, 135076, 130745, 132826, 35826, 139941, 21253,
  160016, 52919, 35823, 9597, 22567, 65729, 24463, 1528, 54383, 74937, 66907, 66449, 53186, 30489, 4666, 11722,
  77611, 109886, 5707, 100503, 31107, 178087, 63909, 42663, 8339, 41648, 8005, 13790, 4694, 67663, 118773, 48261,
  19185, 50745, 116520, 7658, 90355, 49068, 180, 69370, 23597, 3425, 108805, 81173, 17222, 9136, 45975, 93798,
  140675, 20433, 37301, 145028, 28442, 25919, 19397, 66698, 23668, 7495, 6626, 1272, 55977, 23033, 63440, 185173,
  9128, 176386, 222575, 17347, 61555, 20002, 35331, 148015, 28774, 22224, 32101, 95270, 155229, 119206, 28922, 125370,
  17658, 61847, 307477, 5300, 9390, 116888, 3866, 54029, 24379, 64983, 6059, 113961, 69357, 18619, 44315, 7700,
  15752, 90871, 72844, 35312, 127381, 68250, 248737, 128932, 239631, 59079, 34253, 144975, 62460, 30364, 34513, 135745,
  93181, 50304, 215982, 80359, 55913, 6568, 31706, 56971, 45133, 253285, 65598, 43884, 140155, 103385, 51233, 124409,
  18676, 15537, 161665, 3137, 25249, 53067, 54148, 94047, 33164, 89524, 31906, 32711, 29581, 75647, 98053, 70783,
  82837, 31002, 153684, 118904, 67223, 110578, 329466, 139791, 22362, 2416, 53013, 8222, 29975, 285682, 15525, 40047,
  7317, 13949, 37038, 37506, 52813, 5084, 19535, 108360, 1943, 92833, 2683, 39660, 29613, 47826, 43960, 34705,
  20012, 41780, 29619, 22730, 207130, 29242, 83810, 88401, 49617, 41631, 13484, 27193, 49651, 48220, 16919, 66661,
  5636, 12779, 78449, 38764, 15334, 19403, 26257, 42121, 36313, 84036, 57343, 3445, 29226, 117117, 1835, 68598,
  28084, 20588, 21723, 125697, 95247, 24456, 23959, 82657, 72072, 191527, 20720, 69714, 19000, 159615, 178013, 30853,
  224932, 9741, 2949, 53392, 15811, 65040, 40817, 91887, 114, 34555, 104656, 35360, 32127, 29705, 5951, 48069,
  38097, 8656, 40672, 7670, 37508, 58545, 33267, 101625, 88507, 8002, 107670, 43585, 37225, 107303, 21839, 889,
  27359, 44829, 8538, 29418, 91626, 112730, 12807, 6084, 12193, 229, 49391, 10635, 69279, 134886, 35206, 15904,
  20608, 57877, 82079, 26098, 11055, 91058, 20546, 8467, 88156, 225150, 50824, 258547, 92808, 13614, 10159, 28825,
  2152, 16714, 38468, 40965, 57259, 46500, 133547, 3619, 55275, 36301, 8395, 62581, 72789, 88910, 30763, 61787,
  24475, 34843, 39477, 127755, 104414, 59623, 65515, 98667, 1708, 34899, 29620, 271962, 9882, 16411, 164317, 42920,
  3818, 33307, 30124, 3990, 48661, 154034, 37142, 8914, 66897, 91285, 266, 18859, 1631, 20187, 18104, 18347,
  34806, 41381, 28001, 36157, 227930, 227438, 205318, 151106, 85815, 19169, 188069, 52621, 87753, 7676, 18539, 52732,
  18321, 344197, 32336, 25286, 250664, 72376, 6599, 95500, 72733, 207728, 65258, 4923, 25107, 38173, 18852, 277661,
  206797, 10280, 68706, 18443, 50891, 10099, 26038, 10350, 8082, 230418, 91468, 2822, 196411, 40589, 33553, 83569,
  92596, 11998, 44307, 17424, 96764, 12849, 152582, 141574, 152823, 25400, 29806, 23815, 65514, 99567, 54295, 22450,
  22819, 8254, 3779, 78344, 387277, 116301, 84235, 146179, 62176, 111891, 75668, 115049, 51225, 54668, 119070, 90975,
  40329, 139109, 42305, 58482, 15563, 96039, 231261, 608, 189, 79423, 116781, 399767, 3659, 221564, 150552, 66005,
  73670, 75682, 162148, 83033, 64357, 106094, 73326, 218725, 51793, 156164, 11491, 97189, 275136, 36754, 71371, 10881,
  33482, 5754, 4091, 21520, 86653, 55930, 27813, 23947, 74615, 44269, 3897, 24643, 67058, 22281, 108426, 85853,
  11318, 7545, 54923, 305706, 125720, 61497, 47223, 139282, 15388, 174552, 34639, 16339, 22388, 14264, 74736, 41059,
  8267, 136640, 7760, 45714, 1730, 8753, 1553, 19445, 102663, 112491, 8628, 51162, 170910, 24623, 47654, 50695,
  40784, 36170, 18125, 20583, 7144, 155439, 2288, 9897, 85373, 25015, 92695, 127810, 13040, 72704, 125096, 5883,
  7088, 2125, 51383, 31073, 94309, 21302, 31925, 6461, 583, 47582, 18007, 56348, 44224, 929, 3859, 152766,
  140424, 28867, 217612, 69471, 77439, 20336, 147072, 7793, 18496, 41996, 9932, 226194, 164026, 97199, 21473, 8913,
  36578, 370703, 232366, 40298, 4722, 21848, 30276, 32613, 9151, 13631, 19868, 1123, 5824, 133353, 58605, 148488,
  63365, 98514, 162970, 68898, 26510, 4366, 150983, 23673, 35199, 75476, 53507, 214063, 40500, 35220, 45220, 83826,
  79277, 94220, 130368, 10107, 32495, 103453, 274743, 4302, 44614, 2713, 157, 20394, 35233, 20579, 45213, 30353,
  9566, 163051, 42976, 78372, 203293, 8456, 26004, 25226, 152144, 18362, 25622, 32068, 7097, 9764, 19804, 105586,
  2330, 79661, 38440, 45558, 183480, 5445, 30623, 15936, 98629, 31188, 21742, 11320, 13423, 50238, 196800, 61702,
  330887, 6907, 165378, 29192, 44130, 36247, 125815, 76135, 68600, 3478, 102912, 38948, 30939, 32718, 115597, 14759,
  97829, 178650, 6398, 96989, 31012, 80346, 29170, 167665, 345465, 32639, 105679, 182158, 56747, 62826, 5573, 31888,
  94879, 251468, 82742, 74122, 4939, 105988, 50230, 43427, 160027, 68618, 115561, 16419, 149761, 8457, 34061, 57375,
  99423, 60632, 123694, 18569, 46099, 3392, 96711, 126188, 32251, 264812, 49338, 132633, 15332, 90783, 67149, 64854,
  8761, 62393, 76418, 81682, 96094, 50655, 103271, 39486, 128555, 50988, 205607, 4238, 5763, 202341, 1257, 225585,
  235318, 53879, 36434, 4671, 222223, 22096, 143525, 96909, 55729, 20281, 64025, 133074, 30241, 79441, 19012, 18415,
  55420, 135097, 144146, 48331, 201746, 72776, 317545, 66575, 3987, 123583, 63087, 50450, 81382, 173, 71558, 23663,
  8259, 7334, 32703, 83813, 49325, 14244, 94476, 64667, 23287, 26116, 23310, 52112, 7719, 44701, 18954, 2509,
  24633, 12226, 87574, 88717, 251100, 14491, 4274, 63011, 92311, 24796, 10214, 29179, 18591, 35862, 3752, 140316,
  110533, 16614, 111729, 140400, 64759, 105653, 88014, 99594, 170260, 100542, 4164, 21095, 393860, 1570, 11733, 2292,
  7175, 53291, 7019, 12084, 21144, 53309, 55975, 40606, 132887, 54500, 21593, 18556, 3593, 69, 28773, 8032,
  75346, 68243, 36013, 38871, 101277, 105666, 51660, 13332, 91109, 139335, 73372, 29329, 16387, 148050, 129561, 74071,
  259187, 18882, 26921, 62561, 11627, 44409, 155193, 111945, 57459, 200411, 28094, 21626, 173829, 42067, 142855, 22469,
  44694, 41492, 188424, 1317, 55780, 178410, 31665, 32476, 49797, 50096, 133424, 54045, 89192, 278490, 20313, 169877,
  120443, 901, 6058, 24102, 62622, 149284, 65967, 57346, 3904, 11937, 41372, 17994, 14814, 66911, 235601, 80170,
  23887, 4818, 145255, 128004, 1027, 25782, 724, 207408, 112258, 39194, 29870, 74011, 64955, 219934, 119689, 118077,
  99800, 207128, 83883, 66658, 11132, 62891, 83085, 25216, 66353, 9815, 11198, 16652, 36202, 13812, 128388, 227653,
  48624, 40080, 23190, 29953, 18158, 102077, 62237, 3854, 88481, 9533, 51501, 68427, 96882, 27608, 35856, 58154,
  43059, 186515, 64641, 36774, 11040, 20138, 41376, 37623, 2455, 47929, 25769, 20233, 7077, 19150, 180387, 26425,
  21651, 71540, 74198, 49630, 181159, 39337, 47603, 10453, 99126, 357301, 22413, 127961, 100434, 22332, 3856, 103557,
  61388, 149292, 137919, 5062, 68186, 8654, 8282, 23829, 19161, 9891, 41737, 115440, 110468, 4212, 22815, 35452,
  120052, 148515, 40823, 61325, 8819, 4354, 51789, 12976, 55324, 24368, 77300, 8725, 41494, 7736, 73140, 57163,
  7014, 42056, 13817, 48686, 37689, 9578, 13571, 104584, 3618, 3981, 2615, 22449, 87729, 68084, 20425, 146810,
  92615, 53907, 63016, 17337, 207943, 48593, 10105, 121091, 9823, 47400, 75309, 56784, 128657, 106634, 43561, 70981,
  12587, 51472, 92150, 54178, 15857, 121204, 6055, 42142, 6379, 144024, 8486, 145642, 67628, 94025, 8294, 117913,
  51216, 150314, 153347, 1042, 71775, 2265, 3224, 68227, 157617, 10548, 144881, 33324, 63244, 38654, 28271, 8525,
  1503, 958, 5778, 53723, 3864, 58302, 39847, 53240, 218754, 39512, 6285, 19507, 110864, 63755, 37263, 11172,
  5769, 8998, 16662, 20146, 21492, 50772, 13346, 118643, 7243, 7129, 118273, 175534, 1192, 22122, 76882, 43114,
  87921, 153196, 45106, 138465, 85529, 3075, 30600, 13487, 31512, 11916, 22411, 68282, 18537, 64660, 19916, 149911,
  42698, 4415, 22126, 52393, 35350, 288666, 27537, 97849, 73510, 52941, 15929, 294, 84474, 45720, 39658, 4675,
  34301, 453, 57231, 29931, 8991, 192137, 112683, 33353, 21013, 82429, 32028, 9768, 35034, 2225, 27949, 96606,
  566, 33483, 30858, 67296, 38832, 15545, 58085, 23327, 19838, 45987, 38289, 25368, 35586, 107553, 62141, 38448,
  37216, 107939, 32602, 87203, 39413, 653, 178536, 85622, 55006, 18371, 38085, 25177, 12178, 39794, 54315, 242178,
  59742, 149144, 10766, 127632, 856, 10442, 37459, 12213, 84563, 16802, 59641, 26529, 6900, 63962, 37381, 10736,
  25632, 95267, 29099, 16636, 17437, 23052, 153874, 11429, 49786, 45113, 58163, 65817, 30723, 19440, 8273, 176150,
  13847, 87151, 4967, 13744, 70845, 25959, 93062, 22114, 4044, 73295, 41922, 20005, 7843, 56037, 104704, 125857,
  23944, 178063, 113180, 671, 235976, 152556, 97222, 136235, 55530, 17906, 85124, 11074, 48942, 10651, 199, 27527,
  6518, 91832, 29772, 61127, 20939, 1458, 24121, 44597, 73769, 4219, 49564, 15715, 192653, 166296, 109313, 43836,
  52936, 33537, 1148, 25047, 95207, 270590, 56882, 97809, 23895, 31177, 26762, 3184, 132542, 49663, 59748, 3068,
  142982, 88469, 25870, 43552, 22632, 51664, 23936, 32111, 87452, 107086, 104873, 11521, 48042, 93260, 56685, 20765,
  54018, 59944, 11341, 144539, 178468, 24105, 32314, 35295, 10728, 11236, 29477, 35284, 26230, 226, 165790, 42461,
  23559, 117007, 118411, 290079, 363, 78533, 53121, 31307, 81269, 1905, 16159, 14155, 142012, 33360, 14799, 52790,
  5718, 161126, 136815, 27111, 346258, 23627, 343, 945, 31456, 9607, 277463, 25540, 84333, 314287, 2083, 110065,
  246476, 16799, 92713, 55883, 51018, 19760, 17707, 24992, 66692, 259273, 23704, 9218, 101804, 59562, 16967, 86612,
  120570, 10762, 23969, 43849, 39962, 166523, 272460, 8995, 30373, 16246, 141683, 23812, 70593, 83230, 21943, 323413,
  2864, 2355, 100471, 19429, 60541, 82374, 42741, 35603, 19425, 290629, 43248, 33804, 54209, 7864, 21420, 71753,
  104092, 2325, 5902, 24070, 7201, 62951, 120053, 14462, 31545, 99914, 13564, 113310, 48018, 103024, 129706, 25209,
  25865, 23609, 5945, 17372, 15442, 45351, 49273, 3849, 46257, 44296, 17650, 6, 40443, 52796, 50158, 89987,
  8328, 144410, 81530, 54477, 6451, 36594, 86466, 8893, 111782, 198927, 159705, 4360, 47527, 36893, 117496, 37320,
  97754, 50697, 10204, 162372, 33046, 29631, 95221, 7160, 470, 118627, 17716, 97731, 245116, 237362, 49912, 10078,
  31095, 22842, 98784, 60332, 39, 19235, 8973, 120765, 91934, 111045, 58972, 128887, 87208, 67602, 46022, 29104,
  73470, 5539, 281467, 182667, 36708, 176270, 59432, 31026, 36521, 1009, 33426, 52275, 12801, 73675, 38019, 38883,
  70624, 9854, 44370, 2164, 36272, 3412, 81053, 50116, 8892, 86510, 11513, 257297, 79768, 14274, 40531, 33581,
  12427, 106809, 39327, 15343, 55454, 3699, 118114, 30358, 103756, 3575, 184159, 130664, 5908, 82458, 120759, 58923,
  52390, 273629, 62193, 75485, 62962, 34707, 223853, 87062, 22720, 170728, 85085, 23937, 141138, 3062, 19956, 33198,
  94634, 43295, 14025, 57761, 41689, 20778, 135679, 19997, 128402, 22478, 95668, 1172, 126390, 47383, 9006, 96799,
  6628, 94152, 175749, 12095, 106394, 149169, 112174, 23774, 35527, 95733, 7587, 79649, 134394, 37602, 25349, 151895,
  82727, 41687, 20559, 85846, 254651, 19160, 594, 147220, 194502, 40954, 17422, 66352, 148064, 13518, 9302, 36919,
  89549, 90619, 13212, 61499, 3202, 41426, 127530, 57213, 28359, 266732, 167478, 35161, 957, 34000, 1394, 74891,
  21954, 67533, 109988, 70343, 27906, 20087, 74943, 12177, 49840, 84890, 252007, 38133, 142747, 13270, 9011, 1956,
  8307, 41129, 241047, 11967, 24206, 16598, 65926, 114801, 48978, 39444, 29569, 37783, 1186, 28611, 15878, 63609,
  71728, 79096, 37857, 7905, 133038, 64595, 170871, 4983, 71474, 90251, 41794, 1133, 91306, 2347, 11977, 301891,
  6333, 120429, 31567, 114536, 110959, 92026, 77401, 131107, 74600, 4947, 14258, 12464, 70387, 792, 46742, 49365,
  18983, 55855, 53296, 26567, 62609, 186547, 111481, 9625, 56057, 154515, 28578, 317259, 22970, 130016, 87061, 200872,
  1147, 156105, 94296, 61010, 135850, 23757, 304, 68146, 1321, 101784, 28699, 41754, 28834, 26821, 22763, 34257,
  3578, 58871, 46251, 42855, 59715, 38961, 106435, 68266, 102227, 100604, 165318, 20000, 32827, 79754, 41071, 488644,
  81415, 27823, 114001, 14947, 99952, 20692, 48050, 23304, 55636, 16428, 9523, 58498, 257598, 22601, 34441, 124581,
  390, 131974, 174602, 248497, 22702, 5303, 93016, 7999, 35701, 16482, 87643, 40024, 85872, 13254, 27598, 5591,
  402916, 332853, 161899, 167074, 39216, 53652, 3842, 15164, 189795, 61422, 24281, 156829, 14929, 126509, 20650, 40168,
  19467, 70654, 8316, 5943, 10112, 63120, 121775, 4962, 144422, 66650, 69732, 29954, 61514, 18947, 174426, 19368,
  5279, 6294, 146465, 101384, 63421, 46353, 14826, 52334, 134686, 24672, 129081, 113192, 41436, 46150, 14514, 94104,
  8424, 94187, 87766, 25900, 51925, 128539, 30970, 101548, 10598, 4499, 46545, 283177, 132295, 66488, 16337, 205974,
  124416, 16473, 174653, 64458, 4604, 27366, 56141, 24652, 194739, 122988, 146663, 6230, 210929, 11416, 14833, 244818,
  57866, 80769, 9608, 46573, 31829, 126854, 41657, 44969, 51626, 23726, 29384, 7856, 50007, 53704, 180935, 69829,
  9976, 25004, 73613, 77676, 91878, 46340, 96749, 1491, 61906, 71825, 107515, 42399, 56168, 45795, 84470, 28713,
  81906, 14060, 29478, 12282, 60918, 152243, 2069, 14131, 61859, 62748, 45514, 41973, 40017, 51530, 81012, 35281,
  23059, 3091, 91182, 40986, 16887, 215039, 49110, 48902, 40927, 4664, 22408, 2186, 62064, 38288, 20072, 39739,
  12785, 46679, 137755, 83190, 32893, 3331, 21910, 59337, 32913, 69540, 19401, 3027, 21782, 89291, 9283, 160441,
  93965, 2532, 14763, 2928, 20169, 41863, 117119, 29296, 44387, 196228, 25734, 37480, 79084, 56135, 111008, 23529,
  38463, 12553, 65044, 45442, 11457, 157661, 136804, 196290, 93950, 78976, 90672, 49250, 27127, 21222, 172616, 123647,
  157050, 84415, 40826, 176737, 2697, 48083, 49157, 116229, 337088, 109380, 128213, 191771, 5116, 6808, 21572, 57279,
  54128, 114903, 1829, 16332, 48255, 41551, 56053, 69223, 33279, 27772, 38971, 152878, 8821, 42333, 270100, 30247,
  27352, 31219, 62315, 48036, 25515, 5676, 64424, 6842, 124022, 67108, 75224, 26671, 65710, 5485, 81101, 180131,
  28906, 35401, 41128, 7420, 38557, 103577, 27651, 76992, 33390, 277265, 119976, 16075, 1722, 4016, 8160, 16260,
  104435, 28594, 108521, 42619, 72215, 13679, 41467, 25078, 38551, 17674, 12470, 98147, 12094, 238313, 103012, 94925,
  30978, 17555, 9120, 57009, 25113, 302349, 310035, 87798, 6671, 70215, 168771, 51466, 37355, 11995, 27263, 18145,
  175109, 36992, 46153, 119925, 42862, 41147, 72904, 29988, 98024, 78321, 120886, 98773, 65406, 84549, 46294, 207054,
  221276, 28987, 23494, 87283, 59624, 116795, 91279, 21644, 118012, 30256, 26515, 54289, 64637, 18879, 2366, 48426,
  78760, 113223, 59165, 22607, 86697, 2006, 87700, 5586, 21426, 221804, 43982, 42892, 1639, 18263, 97022, 7861,
  40350, 35831, 74589, 15387, 12584, 16272, 2350, 34840, 67193, 166860, 62, 129059, 84144, 13945, 8872, 16116,
  31396, 12848, 46665, 69587, 7863, 337732, 2021, 215090, 143011, 19774, 108067, 9097, 69629, 62086, 41087, 118595,
  63112, 27350, 127724, 168612, 9454, 94824, 47240, 23536, 28666, 13015, 8075, 83300, 65798, 136675, 46387, 66592,
  46372, 22200, 69177, 100328, 134721, 10046, 40569, 11636, 6314, 82208, 7888, 75928, 51402, 4086, 55946, 3983,
  30837, 6098, 23497, 57256, 151922, 183027, 50022, 109927, 2847, 71736, 48147, 21198, 38676, 17208, 38494, 26901,
  38008, 40243, 23664, 42890, 92823, 28712, 10052, 19450, 136245, 1296, 26037, 115524, 17540, 81959, 87998, 109947,
  5504, 135131, 70356, 151584, 109295, 23619, 23856, 16295, 205242, 19398, 32059, 269066, 37606, 78075, 65249, 115008,
  5211, 52062, 83105, 34423, 214892, 56403, 19696, 105923, 1586, 3982, 120399, 20581, 20670, 68532, 88135, 29281,
  208711, 27405, 153585, 40, 137743, 9722, 8280, 31119, 19328, 72088, 60804, 21766, 40652, 52930, 36086, 14049,
  16995, 33305, 97171, 70003, 20023, 20591, 134059, 31794, 14657, 45601, 41289, 83347, 154919, 205038, 18514, 16315,
  34422, 97287, 94105, 23527, 12996, 13917, 114122, 23417, 13918, 46358, 21310, 7972, 38221, 68113, 107783, 16386,
  47690, 56795, 8499, 18545, 16398, 691, 133344, 34814, 2959, 20119, 119395, 59372, 37680, 79653, 29760, 7411,
  89122, 12450, 10343, 56156, 6721, 9880, 13905, 42800, 198469, 177097, 106548, 82488, 91876, 24609, 10706, 76004,
  172043, 23144, 14890, 62366, 83898, 12968, 38955, 44234, 101992, 9519, 85215, 71444, 26084, 100199, 129339, 314155,
  94570, 5416, 9451, 23094, 3635, 8260, 19505, 102704, 76958, 35234, 26525, 2551, 22853, 44177, 13568, 15372,
  76497, 42940, 8996, 82568, 38266, 73994, 25359, 100653, 176590, 44214, 60988, 126450, 168403, 88749, 20773, 72958,
  44464, 16442, 108241, 43912, 142840, 28715, 26132, 62091, 79180, 335, 13854, 117482, 184594, 27524, 213171, 29588,
  1984, 151855, 9907, 24196, 41806, 10248, 139515, 110653, 83147, 67906, 50005, 126920, 11985, 7146, 70966, 73392,
  6546, 11571, 36898, 51082, 366068, 14298, 110969, 8480, 59732, 41291, 11948, 60798, 24533, 35525, 46894, 151863,
  271505, 8978, 152334, 240030, 8736, 86988, 55120, 56449, 39084, 131143, 52149, 20472, 222992, 92098, 113905, 160942,
  93429, 46821, 134338, 13359, 28962, 133572, 63437, 17720, 58985, 12668, 50951, 30088, 86665, 12598, 38135, 100049,
  8432, 23582, 12520, 74142, 30028, 37676, 72636, 19758, 14548, 75515, 10553, 14518, 32439, 41532, 19021, 32738,
  54424, 77334, 95984, 30113, 165029, 21959, 45058, 51094, 55175, 7821, 3808, 143697, 27458, 92493, 25546, 44547,
  69046, 4809, 22393, 105573, 121277, 83916, 93708, 65917, 46168, 169086, 41887, 133671, 33732, 21296, 85711, 93384,
  20661, 16850, 126144, 79900, 24581, 92813, 68853, 7556, 135574, 40156, 253, 27866, 123110, 108105, 8863, 6885,
  37556, 40974, 5474, 42318, 79260, 53275, 55822, 124845, 72611, 23898, 88911, 72971, 16957, 97387, 53099, 8161,
  12939, 7235, 19325, 37236, 46162, 6870, 103036, 9217, 58238, 52894, 25497, 87733, 44907, 108667, 102200, 20343,
  72936, 85840, 55962, 34676, 253758, 69668, 96389, 111954, 41324, 167841, 8806, 158362, 32518, 41375, 120632, 73135,
  96480, 21314, 4720, 259790, 11949, 5752, 116141, 21106, 124438, 7908, 114832, 63475, 65280, 49770, 31147, 141323,
  43256, 220098, 15804, 42500, 34107, 104757, 75473, 1964, 53533, 71047, 83715, 42845, 43531, 77188, 2321, 57356,
  37037, 106618, 27233, 20062, 28366, 40192, 37908, 345556, 45970, 11045, 55249, 98674, 32741, 77466, 25566, 44398,
  173438, 69888, 65582, 3754, 6121, 34129, 9737, 95439, 194202, 164322, 2102, 4704, 62969, 40994, 31759, 21994,
  26355, 77991, 29831, 64006, 30314, 111389, 59636, 131909, 58370, 93916, 82377, 99217, 28455, 53729, 81544, 46068,
  1848, 132138, 3234, 103227, 50519, 863, 34429, 22675, 82830, 85513, 87414, 12210, 90393, 3294, 143767, 94310,
  21761, 100363, 279561, 80941, 295490, 75238, 72247, 3049, 10936, 2278, 38484, 33144, 256940, 101817, 33856, 75506,
  133568, 39527, 156016, 262504, 44050, 98168, 25682, 41968, 20269, 88567, 37803, 5755, 4089, 36260, 33454, 69130,
  27457, 129154, 52277, 26140, 21610, 15320, 67142, 111206, 219460, 45685, 70880, 105780, 36743, 123247, 83438, 52208,
  14821, 80935, 29659, 180718, 101388, 45817, 3374, 57612, 52005, 6448, 72882, 184891, 13124, 12704, 30703, 25929,
  30979, 69399, 15380, 74068, 140816, 117172, 5753, 5065, 167362, 3697, 123452, 43307, 26054, 54528, 105177, 21154,
  18458, 72597, 72966, 61322, 60789, 5516, 142428, 84303, 34917, 14578, 112502, 12928, 40447, 8085, 94588, 23066,
  26606, 8666, 27561, 98346, 33422, 14547, 68915, 108761, 9066, 161082, 19796, 27553, 3452, 27494, 15534, 23906,
  83614, 19, 132782, 13705, 5761, 29605, 59087, 120796, 20263, 12290, 12851, 50370, 137238, 39286, 94500, 20667,
  25038, 21628, 33990, 8981, 91310, 200127, 63967, 88268, 101, 286303, 114772, 71059, 52322, 129656, 47566, 12562,
  74548, 64285, 49207, 24655, 42572, 28607, 237181, 77595, 38084, 16719, 839, 81694, 214054, 17721, 4580, 98901,
  186568, 121462, 138040, 42832, 31802, 161998, 197148, 18980, 17665, 152652, 24115, 15160, 30620, 99343, 9889, 87020,
  141936, 7344, 42231, 98797, 37730, 129285, 120827, 160915, 14420, 2535, 155000, 34611, 4265, 102563, 57689, 91604,
  187218, 17667, 1262, 39897, 49640, 200660, 37670, 19608, 188208, 32890, 127419, 68124, 51441, 81359, 123584, 58473,
  55388, 45140, 15680, 85159, 96452, 16120, 30294, 94559, 66659, 44469, 59032, 36146, 40869, 33455, 63569, 7922,
  42039, 12261, 115220, 18301, 60967, 146149, 29288, 13403, 221027, 9100, 52523, 139159, 19234, 40843, 206228, 37834,
  178581, 17027, 40896, 45534, 29105, 2544, 91128, 79269, 96050, 47912, 285426, 27282, 9165, 151, 46166, 7045,
  196118, 46867, 66112, 143251, 157335, 55563, 96710, 8207, 3738, 72403, 61089, 157979, 40354, 156883, 40650, 178616,
  117436, 102312, 20179, 41865, 2965, 21966, 28441, 168958, 34136, 38297, 9787, 20997, 59659, 36744, 60366, 114471,
  15570, 25271, 29375, 258002, 50843, 37278, 68479, 43715, 230035, 5024, 2970, 91666, 31444, 117750, 16847, 112904,
  71260, 12363, 55600, 48521, 43886, 46675, 13532, 57721, 18316, 20619, 56356, 4628, 5387, 78044, 11, 33577,
  38500, 104616, 16018, 21088, 168508, 6053, 33669, 9683, 17406, 34961, 60264, 30468, 32174, 24071, 78408, 25436,
  8828, 39141, 39373, 37714, 103373, 109235, 33475, 22349, 143806, 196511, 45872, 33957, 90367, 15839, 11624, 84305,
  3560, 26149, 26619, 50807, 18719, 36474, 43129, 70576, 122310, 12311, 103752, 19102, 16508, 25987, 44388, 63236,
  26719, 131892, 134604, 63602, 2541, 237340, 98802, 45539, 105429, 117394, 38028, 181798, 6645, 86186, 32830, 114213,
  37998, 21792, 4332, 69153, 73190, 173015, 127914, 9801, 10591, 4848, 14686, 23714, 235916, 53231, 142998, 35580,
  49737, 63998, 15639, 52103, 87112, 228066, 40885, 51065, 233941, 23415, 4046, 91775, 53188, 141652, 6728, 119152,
  32193, 121081, 48378, 63940, 79154, 100136, 68457, 56982, 4544, 133512, 181089, 126816, 52905, 78546, 37550, 11149,
  126477, 134049, 124361, 126465, 7580, 1593, 86300, 14758, 63501, 80748, 18813, 163792, 57314, 22986, 6141, 11406,
  3216, 32494, 110332, 28452, 31337, 162136, 21024, 26738, 6541, 7188, 22430, 92369, 103083, 128099, 204997, 51873,
  60846, 69568, 20383, 4773, 49, 48196, 29395, 14748, 9756, 43703, 50109, 163732, 15481, 130284, 88137, 10991,
  1355, 101243, 3715, 54949, 43840, 19376, 118637, 43614, 14319, 50237, 47535, 50675, 13743, 107035, 43658, 76751,
  27486, 7709, 13643, 96042, 10222, 21204, 124418, 113169, 73114, 71157, 117166, 121290, 230718, 203167, 36470, 64894,
  418644, 66714, 116018, 28732, 16706, 52824, 36929, 51413, 6674, 128215, 137726, 19964, 279748, 26329, 87214, 10512,
  23058, 116855, 58012, 13318, 45273, 76517, 33779, 74266, 295831, 1336, 47046, 106101, 86306, 13, 79499, 18377,
  2743, 123188, 92968, 51882, 5535, 6799, 86683, 1562, 88773, 138107, 96667, 11031, 21829, 4831, 30926, 76005,
  35253, 174880, 61764, 219165, 120938, 41317, 25064, 15262, 31153, 216734, 168694, 126329, 3169, 7494, 80595, 54300,
  16839, 27391, 60115, 17288, 42847, 68970, 16373, 61298, 8751, 32529, 67945, 20542, 80974, 71952, 139421, 42317,
  33942, 21817, 38951, 12239, 36867, 67209, 48716, 1479, 35514, 105236, 52386, 100232, 16485, 31451, 46256, 39894,
  26474, 60702, 20094, 10295, 77775, 1748, 117588, 48134, 56877, 51915, 11560, 224153, 5391, 3701, 26137, 58941,
  48346, 80382, 15181, 131665, 3882, 7358, 42702, 14975, 108713, 6343, 80451, 72290, 31403, 4314, 32244, 5000,
  27804, 42280, 29989, 44929, 55248, 6075, 42803, 20470, 26235, 53651, 44765, 109461, 43821, 69384, 24056, 170949,
  136104, 115740, 191734, 36140, 40118, 138988, 7264, 71698, 175507, 12620, 155241, 7468, 28034, 185481, 2642, 23421,
  203908, 130353, 51032, 89780, 18732, 56166, 21485, 47669, 1788, 12936, 94197, 57925, 34030, 152347, 132787, 4308,
  106427, 53840, 90424, 21211, 36958, 111950, 33872, 29233, 54359, 51008, 62593, 42396, 7251, 123282, 198715, 53630,
  44936, 14249, 77826, 258614, 15356, 45209, 51025, 80569, 69139, 10507, 10673, 56339, 455, 43204, 39237, 14263,
  157915, 72576, 100737, 58151, 22173, 51683, 197114, 28812, 140291, 15706, 153760, 89962, 50348, 37718, 108861, 24876,
  43275, 55149, 227847, 109122, 82066, 68840, 83530, 39884, 49621, 18581, 228664, 30516, 54952, 16372, 8186, 29493,
  15216, 129920, 30573, 45435, 36226, 109626, 22456, 7678, 96695, 109013, 34730, 57022, 66855, 100447, 13026, 32965,
  6936, 272617, 48390, 49584, 1987, 61711, 3050, 110021, 8227, 8769, 96593, 27031, 196087, 22068, 19421, 11454,
  4631, 39978, 242671, 88040, 68827, 46976, 54523, 87226, 99004, 37956, 109647, 20830, 47541, 918, 286374, 22872,
  110265, 74675, 4723, 101851, 17953, 216583, 119919, 65609, 147605, 1909, 30855, 55924, 110242, 97095, 129683, 9370,
  58520, 14221, 15934, 60347, 31312, 158125, 25989, 55743, 38724, 14896, 158699, 35678, 329975, 16243, 72941, 112881,
  642, 11436, 38291, 112105, 3155, 67914, 72572, 24476, 34497, 104985, 29314, 84672, 75937, 22802, 6429, 75538,
  6207, 163504, 199842, 23456, 73843, 79289, 235636, 7573, 6120, 124975, 52978, 95704, 17249, 175679, 9569, 104975,
  51429, 329147, 13133, 168135, 117746, 78571, 8080, 58294, 3218, 58849, 10361, 62017, 910, 33143, 555, 31814,
  68961, 145868, 122784, 15453, 319671, 26077, 236592, 74939, 14938, 125306, 95117, 36290, 29555, 75543, 1445, 3405,
  34700, 143718, 17140, 139460, 1649, 866, 29186, 90440, 66673, 82069, 69865, 13592, 72268, 105954, 55710, 1985,
  9655, 105536, 52207, 38806, 76800, 9513, 81900, 12656, 153087, 6755, 43141, 21061, 6941, 16813, 142735, 31152,
  210168, 41188, 100125, 29783, 27130, 37384, 93862, 71525, 35398, 12398, 26982, 303589, 1780, 9910, 34746, 13281,
  73242, 165400, 2032, 112057, 3135, 21087, 114080, 35562, 56689, 79328, 57005, 56383, 19556, 8454, 47363, 3132,
  165307, 54577, 13611, 2516, 8765, 81373, 65366, 57451, 35967, 256887, 71960, 42183, 121458, 34333, 89472, 15018,
  13333, 75535, 131910, 13497, 70453, 25831, 37776, 56546, 17350, 31676, 97161, 28621, 117253, 29257, 16050, 488,
  22265, 48754, 128425, 182002, 13340, 90943, 70744, 33837, 44265, 92131, 45994, 1482, 39869, 27394, 57718, 13956,
  441, 5487, 70995, 55529, 3742, 61617, 118889, 92005, 135025, 86222, 66571, 254704, 23581, 37646, 38231, 4846,
  33309, 92236, 6134, 18657, 16543, 2124, 77619, 45274, 17731, 39418, 106157, 55973, 13291, 9746, 65544, 32616,
  157637, 33791, 108671, 24882, 283005, 65971, 70349, 6146, 21408, 15989, 88659, 365, 101360, 128119, 22909, 2662,
  63887, 10345, 23354, 71146, 52312, 30052, 45711, 99568, 83873, 506963, 2554, 13515, 5338, 289237, 32776, 59272,
  233779, 82419, 26344, 71757, 23759, 15290, 14476, 154914, 186949, 43876, 60677, 44353, 34531, 1802, 77130, 15863,
  177320, 67156, 10629, 89062, 38069, 81953, 13367, 22945, 156465, 63862, 319916, 37995, 91004, 119548, 320016, 44035,
  19353, 17852, 114239, 24818, 59852, 114160, 51645, 12833, 68160, 65930, 36636, 297383, 14891, 2853, 73690, 26169,
  1338, 1151, 23088, 98141, 1072, 29833, 31924, 58527, 29823, 49223, 13440, 94333, 1950, 42392, 24753, 253517,
  28901, 4590, 1846, 35647, 81407, 166926, 16913, 15179, 313445, 157404, 11324, 72420, 73038, 62980, 67242, 98614,
  84807, 1288, 18715, 35345, 162348, 49709, 92384, 35688, 240257, 105106, 97424, 336014, 37162, 31857, 24409, 137966,
  138934, 29778, 20791, 88000, 16111, 4596, 20363, 25650, 58013, 116702, 57820, 5668, 41253, 31169, 251377, 5377,
  102951, 209713, 150400, 82980, 16457, 95615, 28341, 34104, 96056, 14290, 87446, 35563, 19541, 9842, 4673, 34998,
  56402, 37494, 140987, 144287, 67217, 38738, 69684, 90560, 41638, 6371, 67553, 130177, 94381, 18943, 22304, 5556,
  89674, 1540, 104069, 26091, 29481, 79348, 127520, 1738, 37456, 64314, 202862, 31135, 80815, 1319, 24743, 103040,
  151579, 2886, 45671, 10020, 13937, 23292, 25393, 58266, 13683, 1161, 48094, 156120, 132537, 22049, 1682, 76886,
  19699, 10385, 1058, 254528, 134545, 55004, 82397, 41659, 67020, 195747, 38970, 40798, 29816, 202866, 95435, 5414,
  222341, 122682, 143053, 294222, 141235, 18722, 36979, 52903, 427578, 91648, 78453, 23736, 48868, 95317, 62318, 53265,
  129557, 41511, 51444, 17062, 233342, 157429, 4110, 25190, 23077, 32496, 234890, 104393, 87871, 119604, 172405, 31296,
  16213, 41034, 147157, 76, 18728, 337132, 33035, 74049, 16184, 117337, 1430, 50125, 9469, 13116, 96853, 186079,
  37913, 79652, 76574, 12079, 19680, 20090, 74134, 22992, 2798, 111900, 29035, 78700, 171356, 103866, 25861, 76971,
  178328, 160559, 131679, 44747, 13216, 89528, 50885, 79922, 50049, 78775, 61642, 115486, 72690, 15613, 40111, 8974,
  71904, 99272, 76547, 36995, 124644, 58876, 62375, 56306, 55455, 10949, 9333, 20277, 7504, 41873, 102574, 28557,
  29052, 18656, 226780, 29795, 41036, 52032, 84065, 51914, 266546, 6019, 73011, 15118, 19899, 148821, 109409, 68842,
  30391, 102037, 158644, 78906, 188755, 20593, 56915, 26262, 8659, 76359, 39099, 42863, 59469, 24343, 170097, 72940,
  16, 31679, 33449, 44831, 104298, 168570, 329243, 12874, 112943, 10737, 81733, 10145, 53865, 30398, 84862, 90377,
  76203, 66, 37651, 15508, 138226, 36312, 36084, 66979, 68857, 69503, 23486, 27392, 139953, 43251, 74333, 109079,
  14125, 42935, 117495, 77115, 107625, 70706, 2266, 28248, 119795, 6372, 79378, 83196, 173133, 134246, 42289, 4799,
  4398, 34848, 30176, 134351, 50273, 66466, 87051, 132965, 48808, 31554, 48150, 75235, 54390, 30193, 11461, 79397,
  16466, 17661, 7427, 28480, 122086, 37993, 13959, 83801, 31835, 33998, 164771, 60458, 67035, 180999, 5256, 7006,
  50971, 114665, 163017, 23336, 48859, 250788, 4340, 9613, 7508, 81510, 27383, 68480, 46427, 15448, 81334, 97899,
  66477, 71, 139832, 7506, 73021, 97330, 136340, 46842, 84615, 21471, 141895, 32003, 39985, 62480, 13666, 12717,
  83076, 96305, 46422, 172149, 46779, 38567, 66589, 155205, 201569, 190175, 4693, 89306, 53336, 145244, 26386, 78125,
  36443, 60742, 64991, 315, 60865, 22001, 34462, 3145, 168164, 7227, 45365, 52278, 143810, 15529, 219120, 21490,
  51393, 22637, 26823, 15222, 25548, 102002, 40489, 96757, 169307, 3643, 119915, 68728, 32896, 113685, 70503, 18482,
  24485, 209111, 5537, 41079, 38424, 97942, 125499, 59570, 21837, 20492, 31623, 9701, 29087, 11628, 19585, 9000,
  275813, 117347, 75561, 10000, 51674, 25141, 80217, 10734, 6714, 202302, 17083, 85695, 64883, 71665, 13202, 80751,
  46169, 222686, 49498, 67783, 187369, 37577, 13134, 27844, 55186, 70471, 20101, 307605, 76192, 4390, 46641, 16931,
  12852, 7169, 5321, 137488, 12018, 197662, 2595, 12702, 62134, 52236, 43904, 2706, 31067, 311914, 70629, 280345,
  118303, 59493, 9152, 296895, 16542, 4127, 190174, 11204, 12125, 33624, 43704, 629, 10579, 161171, 436098, 110011,
  4928, 20741, 120332, 41283, 26291, 13782, 65933, 147206, 43854, 143015, 24103, 185039, 7091, 135245, 92175, 293076,
  10946, 19925, 19967, 110847, 253716, 42758, 95038, 69599, 109062, 27063, 120815, 57458, 39283, 10218, 39354, 7499,
  17261, 8263, 7839, 189220, 113012, 110601, 48485, 156100, 258512, 41840, 167472, 67791, 47764, 14675, 53087, 6354,
  125126, 12700, 41054, 45096, 32646, 70686, 11736, 1417, 55892, 49536, 45376, 6942, 80279, 12070, 89681, 183322,
  201623, 35389, 58180, 430, 149872, 18459, 444892, 19950, 3192, 82244, 305001, 83495, 385, 1258, 82408, 33652,
  1208, 738, 12995, 21781, 48750, 13634, 68571, 68149, 5376, 30653, 64669, 33991, 58738, 87302, 80018, 88747,
  22335, 35680, 106650, 40779, 5427, 30033, 3552, 51590, 82416, 25102, 25208, 3949, 47811, 74006, 93322, 124119,
  32435, 357395, 49716, 13835, 143086, 4083, 79989, 41030, 38930, 21275, 146867, 20485, 94128, 11151, 10472, 53127,
  59975, 30973, 116792, 75634, 156037, 15565, 112131, 58155, 37977, 33863, 74566, 194491, 38224, 22622, 88291, 51351,
  62485, 19885, 25695, 49858, 7698, 124574, 37501, 200, 50405, 11713, 287549, 195058, 71027, 14971, 39645, 70772,
  16462, 27850, 51933, 19178, 21559, 27321, 3458, 43074, 136153, 7003, 195280, 149565, 34131, 52040, 1210, 6796,
  107506, 11880, 278327, 23579, 162069, 86206, 10271, 126827, 63703, 27398, 13524, 13255, 3101, 29045, 7198, 55423,
  215029, 1232, 15504, 168293, 40407, 14532, 80445, 19258, 4178, 203513, 68565, 70756, 3774, 260344, 5233, 163405,
  9187, 46762, 107090, 26759, 80019, 11197, 524211, 114351, 17880, 91874, 35307, 46472, 97926, 12980, 2932, 75,
  67579, 57528, 43925, 163283, 2600, 68602, 18775, 154886, 18405, 19085, 144161, 117918, 8351, 60026, 40557, 1844,
  47924, 56160, 48862, 13071, 86638, 3171, 163462, 48967, 70820, 50635, 8327, 96197, 92206, 86504, 132, 17742,
  86453, 80271, 35704, 19660, 29610, 70884, 187507, 70566, 42241, 55397, 157816, 116938, 119200, 208499, 318827, 57917,
  3198, 33626, 18608, 33628, 15466, 58518, 23680, 48749, 67813, 203805, 73110, 32434, 57863, 126161, 76577, 74704,
  35454, 272624, 56452, 33611, 4779, 612, 20538, 20813, 99518, 12664, 37685, 51378, 4649, 48965, 52644, 7250,
  104641, 90980, 25121, 20782, 144269, 136467, 25473, 109758, 33730, 23835, 64889, 3994, 38073, 175725, 263011, 73296,
  65864, 7458, 91699, 99785, 6838, 11244, 30971, 22298, 109456, 24378, 14229, 234839, 193298, 16188, 31737, 116657,
  154007, 1122, 41881, 49733, 5623, 164859, 73807, 45069, 45741, 8551, 143581, 9315, 30846, 98697, 126198, 189421,
  182578, 54489, 24321, 45654, 25573, 17216, 24178, 85193, 157224, 15399, 12351, 94329, 1543, 110920, 86691, 20245,
  58575, 21729, 399974, 64597, 138703, 15574, 33184, 95550, 146140, 2393, 2271, 17693, 44971, 124299, 48652, 114592,
  49356, 244271, 56021, 82860, 18275, 26970, 11660, 198792, 59064, 6815, 87808, 78781, 20300, 104409, 662, 71033,
  13122, 35626, 44961, 91041, 11848, 14525, 52226, 42701, 24453, 111637, 27557, 12927, 11973, 27925, 2467, 122935,
  9797, 47887, 24976, 6515, 86843, 117000, 127598, 39829, 2919, 138824, 43874, 110700, 25530, 13248, 168387, 43479,
  49210, 1692, 1259, 64697, 1130, 20465, 27466, 19345, 161220, 120389, 31515, 56190, 76788, 22165, 29616, 5113,
  75373, 17538, 30755, 22978, 85604, 112134, 45015, 68154, 34926, 7355, 114461, 64044, 36014, 70882, 20391, 30584,
  17777, 8803, 13476, 33610, 17255, 352133, 26102, 24765, 51533, 55753, 68095, 21188, 11676, 21823, 21179, 271876,
  92226, 107529, 94889, 47154, 51845, 43801, 5311, 105238, 119859, 268539, 2435, 55644, 21525, 37454, 162919, 79553,
  5936, 143734, 13110, 3235, 18507, 21886, 124645, 8664, 28050, 67683, 58054, 52119, 1140, 3546, 35570, 180315,
  31418, 49700, 27671, 84075, 14857, 30098, 18009, 21868, 34207, 42097, 9293, 74669, 47859, 50876, 49991, 60692,
  10750, 72343, 7644, 83181, 36382, 115481, 14074, 68458, 32079, 110696, 30195, 6157, 106909, 22414, 134401, 11947,
  59426, 71942, 7548, 142461, 87757, 25760, 55425, 47637, 38393, 117046, 33833, 33451, 110042, 21631, 15553, 31475,
  15965, 52160, 30794, 68222, 97104, 44038, 134558, 22658, 33757, 7286, 148203, 73358, 35344, 42812, 2789, 141364,
  97993, 325497, 95230, 62242, 53979, 114390, 187, 3414, 33651, 72017, 42725, 163469, 45407, 53268, 119350, 24322,
  41884, 61527, 104655, 61374, 82515, 10912, 127557, 29939, 173089, 44405, 77727, 37217, 7177, 19015, 73371, 191300,
  58371, 10601, 4287, 145829, 35365, 250779, 11615, 1861, 47543, 67388, 153424, 85556, 51927, 90651, 19359, 9654,
  35587, 131677, 91637, 90460, 10670, 58134, 145964, 112159, 23544, 102870, 17599, 26304, 29306, 17111, 10277, 45092,
  84233, 79517, 44634, 85065, 39976, 55740, 13294, 40340, 76076, 274931, 24696, 94204, 62097, 19765, 27791, 72755,
  9007, 11276, 152590, 52634, 8668, 11381, 87423, 17757, 28119, 349, 237, 60867, 78281, 91158, 140967, 248103,
  120790, 33051, 142673, 247599, 19835, 85755, 184690, 18251, 143020, 164693, 4893, 85858, 54968, 19631, 20889, 110604,
  18670, 132107, 13187, 1827, 64959, 187020, 16093, 2357, 20649, 24949, 120227, 112146, 34469, 22861, 29222, 20839,
  42570, 12164, 72533, 58393, 33001, 67590, 100285, 77190, 136570, 1891, 29881, 176839, 87796, 169800, 46634, 42613,
  120044, 544671, 35573, 33409, 1106, 23688, 8382, 40809, 58700, 21997, 89694, 32633, 63951, 5925, 91071, 83353,
  127623, 193205, 8076, 91094, 12805, 5777, 59517, 20986, 83057, 34629, 28371, 28946, 40212, 16089, 140378, 2115,
  31773, 3807, 48370, 178737, 49850, 322390, 73229, 7228, 7361, 34085, 72856, 162851, 54336, 3090, 10705, 24203,
  347524, 3071, 11926, 15437, 101314, 38218, 37603, 25070, 23751, 18738, 10614, 30446, 19569, 34876, 34037, 143092,
  48791, 17269, 13448, 181374, 29174, 22705, 11280, 8389, 49369, 33246, 4494, 15136, 20467, 189070, 24240, 21646,
  7465, 86521, 109202, 104631, 75842, 73950, 26135, 39426, 38281, 58562, 87792, 10755, 623, 98319, 19283, 178647,
  112457, 28075, 23224, 51865, 60210, 1572, 16872, 3984, 28849, 17199, 19586, 53164, 51003, 578756, 51498, 45446,
  94720, 3831, 11364, 15400, 6426, 42807, 26765, 136732, 90047, 18712, 26660, 98061, 85560, 99889, 37338, 10153,
  43761, 188463, 24546, 9883, 3579, 47095, 149286, 1544, 85105, 109163, 22065, 84228, 34607, 9802, 24403, 6597,
  90410, 107034, 41249, 2151, 118528, 32433, 167290, 143308, 7224, 62473, 32534, 855, 42907, 31366, 15790, 130823,
  111163, 23740, 103312, 73946, 18168, 41718, 10722, 74804, 6960, 77903, 6730, 4836, 161135, 460161, 25329, 3966,
  191298, 108138, 97692, 28539, 5247, 14951, 16072, 148552, 100584, 72497, 44704, 114746, 127552, 2033, 34815, 27555,
  171568, 13044, 57905, 30463, 20121, 12578, 29578, 147967, 91173, 69059, 75171, 15963, 12636, 216233, 12189, 78098,
  54615, 17457, 34910, 14101, 20199, 38879, 33868, 12975, 63730, 19371, 122500, 36320, 98105, 44709, 16796, 8252,
  2396, 7493, 206206, 58138, 40387, 10906, 28152, 8026, 14438, 11987, 27633, 84118, 125012, 155087, 126314, 20627,
  4765, 60466, 170206, 93400, 33235, 15747, 658, 8854, 12865, 30917, 688, 103792, 45299, 136720, 88015, 54331,
  37728, 2913, 65993, 80667, 82098, 15958, 29994, 167188, 77872, 103575, 90590, 244435, 114037, 77901, 91272, 19428,
  59253, 30651, 149287, 11214, 19675, 21663, 134751, 84839, 24838, 61313, 45844, 7512, 398016, 64823, 127529, 3133,
  102561, 20453, 115896, 17344, 11446, 222828, 193, 155155, 17069, 58324, 4480, 25422, 57508, 105295, 23785, 108564,
  178277, 20918, 69131, 161769, 65836, 54488, 201783, 143191, 99941, 18413, 13719, 28184, 26114, 27888, 4392, 129687,
  2585, 3092, 113567, 150793, 271882, 1752, 282, 15224, 136866, 70660, 67393, 235271, 50126, 30236, 5205, 12951,
  11027, 106830, 33950, 26602, 155648, 159630, 116983, 47316, 118367, 77639, 2468, 20768, 14585, 66833, 4411, 197715,
  8910, 308244, 4325, 25115, 123015, 105047, 174692, 661, 335383, 65622, 43950, 89084, 40434, 55523, 40872, 29093,
  41016, 46235, 18304, 57207, 53021, 31025, 145373, 39883, 14439, 64867, 33271, 92303, 87098, 165627, 249075, 23882,
  176860, 43613, 45825, 64126, 201543, 92448, 76394, 85896, 121888, 56679, 6043, 5600, 2358, 43170, 38186, 77345,
  9286, 9851, 24013, 78703, 5739, 81394, 113639, 182825, 22666, 9031, 22509, 9570, 54270, 33648, 34339, 13164,
  37884, 37579, 110690, 71903, 169381, 124661, 154669, 17643, 33984, 69534, 35747, 99083, 93859, 18986, 20872, 30989,
  16124, 4894, 119685, 2601, 89364, 45420, 102352, 14665, 72207, 77064, 26614, 22336, 51639, 228, 56231, 815,
  76366, 85000, 4970, 44952, 99029, 11414, 154634, 81988, 65812, 71056, 307722, 32240, 2198, 67495, 76459, 289714,
  12147, 34660, 56034, 21936, 174891, 33766, 38677, 42238, 194289, 61206, 40811, 81549, 6986, 11184, 50356, 28762,
  30252, 169833, 26033, 37387, 88822, 7300, 54514, 41857, 21284, 89562, 16952, 95611, 11445, 78324, 76361, 17313,
  288337, 35719, 74225, 17706, 160821, 46786, 195486, 98124, 33034, 230403, 46596, 54312, 100869, 187581, 73087, 76045,
  43852, 51201, 111095, 53695, 25761, 171167, 1281, 12511, 52882, 77119, 180240, 70944, 1144, 132888, 99788, 35517,
  103809, 160506, 37582, 28159, 1924, 90499, 9703, 89568, 84458, 91412, 201459, 33796, 86079, 85006, 49619, 62157,
  43411, 14396, 37110, 43017, 13542, 75363, 34855, 3223, 139276, 79591, 32317, 66073, 18141, 8975, 111874, 25536,
  34978, 2876, 88258, 8764, 41298, 4941, 10664, 6849, 7276, 16023, 42365, 44065, 26481, 39848, 38615, 3468,
  173800, 385332, 27782, 6783, 33210, 23625, 31896, 1982, 17951, 11857, 55263, 92496, 142652, 13696, 62877, 77106,
  33616, 34409, 3165, 42139, 33677, 25816, 8589, 110980, 2210, 30731, 11059, 25363, 19941, 193105, 164524, 15578,
  98568, 36064, 29325, 13286, 2486, 12135, 218797, 3219, 192414, 393107, 34699, 89750, 80136, 7124, 7367, 13443,
  12058, 69118, 234202, 17915, 235883, 20792, 100851, 31528, 50963, 3680, 2664, 124375, 249638, 8483, 257047, 41605,
  29572, 29737, 139767, 51651, 27221, 6765, 55803, 23145, 47034, 40480, 52532, 73864, 6124, 42229, 93325, 34530,
  72107, 238280, 199709, 3744, 63346, 16597, 66408, 22715, 97620, 5271, 1410, 22445, 158513, 169512, 31624, 107883,
  299699, 50048, 63128, 87490, 40388, 185087, 19754, 75917, 23235, 138863, 325617, 37883, 37176, 65115, 41352, 25967,
  224244, 118096, 25013, 205505, 198386, 69311, 49810, 112803, 121323, 27224, 31934, 41103, 67992, 90172, 18343, 182947,
  23827, 233481, 44894, 9617, 63170, 38593, 111112, 18189, 17838, 11885, 38329, 7604, 106622, 67890, 139944, 6251,
  158590, 31160, 39376, 75979, 26807, 59454, 75828, 12609, 5345, 62668, 13410, 6377, 23489, 15227, 50336, 23847,
  91891, 46989, 219110, 5016, 55474, 182, 169668, 41243, 74834, 37258, 81806, 25477, 37981, 32374, 29946, 8558,
  13058, 27278, 55639, 110342, 5977, 7496, 7827, 224669, 72552, 8581, 18359, 28445, 34706, 45938, 138729, 19479,
  26828, 4897, 199990, 7309, 145172, 26292, 10057, 2903, 19904, 3127, 7625, 8343, 21367, 5265, 8513, 8299,
  34043, 7029, 6384, 111718, 960, 4780, 109654, 50272, 77092, 23412, 109010, 40059, 91381, 138810, 25275, 30422,
  4733, 94279, 5863, 2603, 47446, 7973, 33416, 25502, 7680, 106096, 17414, 15137, 41697, 38583, 90939, 13115,
  5170, 1287, 11657, 96186, 16960, 66479, 61042, 54454, 14741, 104736, 18646, 28260, 46101, 248526, 78951, 52606,
  13656, 58251, 8482, 69402, 473, 134516, 4405, 18865, 51842, 100181, 26348, 80528, 37433, 55053, 30045, 136822,
  11103, 22444, 11841, 2990, 11551, 36343, 57239, 17946, 121951, 165051, 7702, 15912, 13191, 61072, 26908, 5979,
  97536, 32603, 54072, 112162, 165932, 27730, 13979, 91093, 50397, 48878, 44400, 29260, 51628, 17193, 15977, 23879,
  129028, 208297, 58084, 29487, 9069, 58477, 73687, 7734, 44885, 223955, 46203, 40661, 6590, 253832, 62105, 27627,
  59195, 37610, 112, 160041, 47045, 121276, 9957, 89691, 32940, 13845, 859, 21447, 225472, 109616, 5172, 115309,
  90345, 174021, 7312, 26518, 21833, 129351, 285466, 54661, 13303, 119359, 7473, 179961, 29407, 61141, 37403, 357673,
  96615, 35776, 100714, 58390, 141951, 44340, 133721, 168376, 5198, 37474, 20461, 28860, 6028, 3028, 13118, 40061,
  18395, 65200, 55843, 156099, 7181, 326625, 72811, 24544, 3861, 106507, 15886, 80513, 14966, 54808, 143914, 131660,
  156358, 72569, 331, 115499, 167182, 181285, 3231, 35925, 36529, 34503, 18991, 46621, 55253, 10258, 55965, 813,
  25942, 89419, 48957, 177707, 173153, 46642, 4811, 91950, 30959, 57953, 55844, 6837, 27261, 33866, 171253, 83769,
  50691, 10414, 5492, 45302, 150176, 127189, 25506, 98266, 162201, 46921, 47463, 25896, 38467, 46851, 18084, 3144,
  48462, 72055, 57402, 19107, 80602, 38235, 64308, 11648, 42163, 101559, 80727, 54159, 118482, 153426, 60818, 128542,
  168, 55184, 5394, 2574, 108756, 27110, 245250, 38029, 26011, 2085, 2189, 19738, 17166, 17187, 129874, 85131,
  54149, 86936, 135307, 122042, 456538, 40725, 3718, 195077, 22512, 53925, 52733, 40639, 91374, 71487, 56427, 22962,
  13816, 20316, 44904, 29393, 90358, 36347, 18997, 57794, 131615, 11502, 90717, 6758, 18132, 32540, 226257, 10712,
  226707, 53602, 99511, 19231, 1824, 19111, 49236, 5491, 28139, 42348, 17387, 13741, 26860, 32136, 143030, 11826,
  42253, 125128, 48221, 24174, 93877, 39491, 28952, 24227, 77351, 64398, 63400, 162461, 65575, 4012, 37187, 20132,
  8980, 42178, 52118, 64518, 80574, 106352, 75873, 68981, 22020, 35576, 63767, 70957, 27948, 62633, 6166, 497,
  40422, 23112, 21321, 14642, 91324, 90681, 29471, 53428, 76376, 17160, 5165, 158982, 13528, 21170, 4421, 11861,
  39281, 97681, 28741, 5107, 91685, 14451, 28300, 33929, 82215, 202223, 39186, 1108, 122541, 3164, 84493, 54892,
  144066, 56213, 6189, 105740, 1983, 53506, 28897, 52102, 193851, 154542, 51373, 38315, 17283, 44071, 149080, 48489,
  26320, 80807, 30857, 143431, 2739, 197396, 39482, 10242, 194978, 39273, 69728, 108587, 4790, 80763, 38090, 13241,
  26845, 225930, 45466, 7671, 42627, 235691, 55444, 50456, 61300, 2137, 111458, 41994, 65815, 20573, 171738, 111385,
  174612, 46292, 37295, 150555, 55133, 45791, 85658, 132663, 4200, 13863, 247261, 33106, 191130, 68764, 69933, 342026,
  79771, 57623, 102440, 82923, 158321, 74104, 66775, 232997, 52280, 5348, 14740, 63482, 166796, 21974, 61836, 39710,
  221620, 16509, 20155, 122691, 62461, 15494, 286059, 74491, 11278, 173634, 24814, 36352, 4067, 124651, 6219, 20384,
  88152, 106522, 11199, 27155, 83409, 59291, 62619, 7943, 31717, 82823, 35872, 25490, 121367, 16822, 5527, 43809,
  13522, 275353, 25968, 13784, 47325, 66250, 55180, 23370, 37945, 34951, 32887, 154415, 10406, 26787, 7574, 51785,
  174348, 5257, 63098, 12141, 249321, 18164, 175374, 159625, 154101, 6386, 36436, 10514, 64912, 129913, 42505, 64489,
  29938, 34866, 92162, 115463, 51775, 138015, 32129, 31108, 17220, 19470, 60959, 82863, 15776, 2068, 11894, 44229,
  166138, 59776, 2329, 138779, 78890, 11618, 39616, 3684, 84425, 73187, 5203, 51002, 54121, 48875, 276201, 108655,
  42861, 116287, 106861, 140810, 16368, 27367, 102464, 4845, 24572, 65525, 25498, 65011, 291647, 3490, 34570, 87715,
  10197, 173917, 12769, 8636, 32073, 8577, 38657, 12073, 22651, 98887, 35637, 26878, 11677, 114271, 87008, 92497,
  97509, 14575, 3470, 58305, 26952, 16841, 8381, 10555, 35787, 2648, 41602, 77764, 18424, 35932, 45851, 49096,
  41910, 7650, 71685, 129774, 71614, 52658, 36248, 19880, 94977, 39129, 145464, 57624, 72318, 30245, 113156, 32799,
  41594, 8407, 15488, 66070, 70024, 38697, 26127, 49773, 275419, 9728, 21901, 111141, 37702, 136166, 21682, 76474,
  60199, 7085, 79133, 215800, 7335, 50628, 141287, 17217, 39107, 44612, 205482, 35296, 61315, 75127, 44962, 2175,
  18271, 83503, 115273, 114695, 18394, 122374, 164929, 11745, 33768, 52043, 39554, 3954, 87884, 6547, 14314, 26459,
  104277, 94471, 129578, 91248, 123724, 20555, 12338, 148214, 7277, 42970, 32692, 38110, 56288, 19752, 90889, 130277,
  71981, 95103, 10470, 106893, 189803, 47422, 67706, 38984, 49320, 67270, 32034, 67179, 3352, 105490, 2902, 57799,
  6798, 57302, 88662, 2520, 14240, 632, 64114, 111171, 8954, 67696, 178121, 64478, 69220, 98726, 78181, 52577,
  94433, 48703, 92812, 106819, 57372, 970, 11507, 56315, 28620, 13927, 5879, 50384, 68863, 811, 54518, 38111,
  193727, 4518, 82041, 45997, 85575, 141392, 39464, 38164, 42309, 34939, 27631, 115200, 41667, 5852, 85451, 45254,
  67689, 36959, 69349, 25516, 42081, 284, 1617, 24389, 22543, 92428, 55862, 39478, 44824, 158788, 112673, 24864,
  12719, 95525, 421417, 153017, 28540, 12854, 40525, 3447, 114236, 119912, 41795, 7482, 101553, 14084, 90262, 98146,
  27638, 309738, 63986, 26332, 27296, 73457, 26543, 61153, 4300, 19919, 75492, 157204, 5353, 16531, 61956, 47675,
  4663, 113612, 136374, 222705, 19379, 3505, 93057, 31, 94098, 199552, 229445, 75586, 3758, 9803, 54043, 51022,
  95888, 418251, 47815, 8325, 95144, 54354, 55865, 238684, 80344, 14773, 42431, 26078, 87320, 4173, 49174, 59477,
  28447, 53727, 59450, 37425, 259518, 260604, 13221, 59388, 12718, 19200, 54560, 211, 71391, 111794, 43082, 14317,
  152731, 24043, 16563, 55318, 37063, 33985, 12107, 8451, 24132, 3287, 51633, 24662, 31911, 94583, 27566, 47306,
  104896, 123698, 17450, 4892, 15672, 1239, 135524, 82674, 103782, 128381, 195863, 42040, 1521, 88669, 5368, 61959,
  4945, 14280, 54416, 134709, 72541, 71947, 141565, 31806, 23717, 13486, 49292, 28755, 122632, 37972, 227115, 71973,
  15619, 45930, 73185, 19728, 87175, 41028, 113786, 71313, 206120, 15801, 80915, 37045, 29428, 213276, 42087, 78562,
  189780, 69074, 397153, 114057, 61416, 106834, 67699, 184163, 28350, 15478, 41280, 87632, 44457, 50713, 90885, 28916,
  972, 63102, 58749, 38921, 1175, 182790, 133419, 33965, 47233, 11089, 17346, 24241, 198738, 99658, 3632, 15062,
  95789, 46049, 55098, 80139, 41907, 66419, 62949, 77436, 21953, 25574, 115070, 31261, 97034, 86959, 15541, 120250,
  59341, 34977, 37912, 95547, 22864, 57455, 27137, 114631, 53713, 28129, 16277, 219371, 16873, 48501, 25135, 20596,
  32971, 2044, 70095, 43252, 20693, 70672, 5134, 139706, 20954, 18793, 5240, 51062, 31336, 1055, 9964, 20812,
  21477, 94661, 40609, 21902, 16169, 19574, 74742, 44447, 38370, 72501, 159022, 27749, 16412, 12007, 11867, 64559,
  9019, 60758, 6521, 41890, 3841, 1011, 208127, 23460, 24599, 115489, 30488, 57116, 21938, 126419, 279459, 210650,
  17085, 29349, 117824, 4642, 6484, 24363, 70018, 30366, 81198, 51053, 57403, 18554, 76413, 87591, 130889, 12473,
  5849, 12616, 44081, 17726, 72514, 20574, 39804, 77427, 12320, 153366, 63071, 43010, 65247, 12837, 49822, 119883,
  276175, 48298, 17891, 55934, 37234, 15426, 536, 214834, 59796, 107143, 73492, 82284, 52642, 23860, 59584, 109240,
  16312, 295305, 2881, 141523, 57349, 24996, 10169, 27023, 198507, 100921, 101928, 19612, 94148, 193262, 51722, 22594,
  46134, 59320, 233123, 23163, 18958, 48350, 10418, 11573, 125552, 158579, 54776, 71219, 1747, 9488, 45024, 123446,
  18725, 52331, 24040, 29879, 151873, 17176, 22311, 178292, 14901, 31482, 26423, 45056, 5490, 10022, 15757, 97024,
  68287, 99243, 207125, 128979, 29470, 1325, 74812, 32791, 3689, 45845, 118509, 34820, 64794, 70223, 8344, 91384,
  40814, 104345, 56330, 22095, 26018, 85129, 77063, 49913, 25692, 80443, 48676, 207462, 54450, 117644, 131820, 12098,
  2703, 16863, 18276, 60530, 88278, 81796, 11213, 17129, 124886, 4875, 8932, 23106, 173087, 7396, 71377, 23220,
  174000, 24872, 76210, 196270, 24159, 83016, 95481, 92620, 179477, 142594, 74941, 14268, 24276, 115069, 15141, 25430,
  46004, 119419, 64735, 171433, 201876, 166502, 13507, 2133, 209202, 8831, 250649, 58555, 445, 79606, 10547, 18957,
  52876, 93525, 47741, 109879, 31948, 69285, 97122, 68070, 30206, 36316, 27294, 147592, 157610, 357846, 4949, 3838,
  39180, 165668, 28395, 105564, 18439, 113339, 26143, 6254, 44124, 41027, 149595, 57880, 50469, 74956, 105797, 64751,
  5774, 62996, 55064, 12300, 96278, 74378, 41632, 28378, 222758, 215455, 14905, 29733, 200216, 83974, 14267, 197651,
  50290, 108173, 83523, 72906, 45486, 17894, 248112, 6668, 20435, 12354, 69859, 105672, 46986, 26269, 26119, 21735,
  46276, 81332, 161990, 24229, 140133, 80736, 85948, 28342, 142326, 114859, 5246, 12288, 15569, 321372, 83346, 67317,
  13363, 11347, 62559, 87384, 47522, 66304, 51125, 158071, 92583, 215430, 30981, 130176, 2182, 17025, 35860, 41627,
  7135, 192109, 213, 29142, 16853, 130975, 2389, 127400, 22998, 131988, 9785, 68168, 30272, 21382, 58736, 6997,
  4952, 39834, 32713, 104019, 63263, 581, 147846, 14035, 35623, 7875, 177579, 12052, 39096, 112656, 33118, 37277,
  53789, 60622, 157938, 185910, 44864, 30132, 308910, 81836, 20053, 20029, 111, 252367, 110392, 9585, 162293, 4213,
  124213, 140484, 19392, 33595, 4630, 45380, 23884, 137937, 16087, 21464, 32146, 130095, 28221, 147475, 40847, 37757,
  127787, 95424, 105555, 146520, 25839, 9169, 5255, 99477, 77481, 245575, 97240, 7618, 44693, 52011, 5049, 29327,
  13464, 195851, 8615, 52596, 113146, 3124, 234482, 38343, 6983, 249017, 62799, 87690, 27069, 6892, 7757, 568,
  55717, 67952, 55524, 29469, 50102, 116514, 63808, 119487, 4760, 11374, 79868, 17622, 7107, 13396, 118343, 202733,
  26186, 94968, 133457, 113546, 66507, 11011, 141426, 116015, 59145, 7451, 3054, 4656, 36032, 68955, 55309, 29753,
  104182, 23389, 82478, 44486, 71328, 86912, 16831, 60480, 29425, 22716, 53199, 42308, 64317, 88346, 22804, 101981,
  50781, 6916, 20926, 87069, 47465, 22345, 6416, 67964, 94298, 12161, 198305, 25527, 69706, 1141, 24861, 18820,
  74899, 101908, 136290, 36246, 22754, 43947, 149419, 77020, 120756, 58182, 76675, 53183, 25108, 141513, 334998, 81890,
  93077, 30790, 76148, 97326, 56834, 21494, 3126, 13675, 73286, 10835, 21018, 39793, 39928, 69833, 40373, 1638,
  16218, 27262, 46999, 35926, 41699, 14586, 109707, 10621, 176763, 65754, 4781, 40629, 7555, 38881, 34586, 20380,
  70819, 99768, 116580, 11114, 50083, 71750, 38765, 26763, 26895, 31093, 26106, 99244, 23315, 195234, 103007, 80697,
  26014, 69431, 24523, 14850, 16773, 129449, 83866, 113767, 123079, 183143, 1343, 35751, 41712, 7818, 21857, 75865,
  5719, 13588, 11322, 41995, 31516, 21912, 16746, 20696, 90427, 100022, 97349, 50603, 158540, 42138, 33822, 20310,
  85051, 198477, 100819, 31299, 183128, 37925, 83454, 48059, 40864, 109756, 117963, 246050, 27505, 125055, 6202, 12888,
  55392, 82049, 6852, 20486, 9058, 55998, 15942, 21876, 45224, 30137, 11302, 33518, 96857, 5033, 17578, 243172,
  30901, 1136, 98132, 67204, 136622, 53361, 185908, 164211, 96557, 1199, 46191, 6810, 56304, 16854, 41481, 31638,
  120061, 167078, 70451, 36778, 11501, 72634, 53232, 33096, 151448, 12676, 107140, 3255, 5773, 230373, 199725, 58707,
  89743, 159601, 29117, 51821, 7769, 175079, 179962, 14736, 86069, 12406, 35599, 12585, 2935, 122863, 21218, 92679,
  18471, 74106, 23743, 2268, 41628, 25025, 251009, 101461, 10114, 69681, 874, 844, 33660, 84276, 20996, 3116,
  110170, 3629, 33273, 374091, 49479, 7043, 8134, 1695, 26745, 1439, 1061, 171360, 92846, 117704, 95171, 30559,
  33221, 6627, 172996, 24530, 26731, 509, 15456, 63235, 18795, 30005, 53873, 51891, 87076, 62196, 32574, 96562,
  8550, 98665, 117502, 67674, 2100, 12527, 40235, 66878, 29972, 78874, 26467, 41590, 120289, 181416, 78604, 54157,
  3077, 84697, 134742, 91234, 72490, 15005, 76558, 55084, 33784, 162703, 6048, 46791, 2630, 127835, 19594, 122511,
  208722, 193416, 9502, 8107, 50861, 143793, 44636, 51976, 63483, 12325, 10412, 23264, 79029, 29050, 159857, 149078,
  6419, 154772, 107400, 107603, 39467, 13028, 84919, 63134, 14302, 158425, 87104, 88768, 45286, 22612, 34903, 13577,
  64207, 6221, 59147, 11798, 9686, 121962, 135449, 86848, 67513, 17167, 43511, 68844, 44170, 71147, 44786, 64366,
  1050, 10887, 190612, 21896, 77246, 77296, 70814, 135434, 59266, 18452, 133, 55042, 17055, 1640, 13034, 42496,
  53801, 5748, 52414, 66381, 7150, 144739, 6440, 74993, 11111, 2539, 50363, 23303, 42432, 27028, 66935, 13005,
  4278, 7311, 46716, 3338, 94579, 8115, 26937, 50962, 362117, 30782, 3762, 141892, 36175, 73088, 50180, 37005,
  42902, 253122, 113704, 91922, 41933, 43732, 105477, 3520, 39002, 3843, 42324, 258344, 98489, 29853, 56586, 11607,
  22913, 43149, 12984, 35738, 74161, 6039, 61803, 269, 84773, 58569, 22403, 44259, 57036, 31666, 126796, 12483,
  17556, 38761, 298166, 122446, 162288, 3950, 44945, 1370, 74485, 97973, 26528, 36641, 178760, 75233, 37361, 147382,
  93867, 98504, 161890, 33435, 73635, 18503, 26688, 55952, 128860, 76113, 36649, 15218, 50362, 50874, 136633, 104263,
  261, 187132, 5194, 41473, 67455, 26709, 46683, 61196, 80001, 415, 103032, 77008, 46080, 63776, 21671, 45605,
  35662, 12969, 32724, 41546, 4368, 25676, 78170, 10132, 25247, 21941, 10589, 88199, 19230, 36489, 23652, 71018,
  74393, 15514, 33003, 61628, 22588, 82874, 278, 656, 1822, 7365, 51787, 44718, 27682, 7842, 148545, 22113,
  235324, 53467, 25889, 37986, 13798, 8780, 14653, 79341, 85998, 58114, 38940, 70133, 13194, 10663, 186560, 72895,
  235067, 15731, 34281, 180158, 23514, 60239, 132955, 17621, 71669, 107863, 209492, 4929, 147632, 35364, 73172, 45463,
  23191, 35596, 21865, 59198, 134748, 84141, 128176, 15559, 214683, 7375, 153174, 69569, 105101, 54279, 191537, 11893,
  1518, 28125, 88836, 27303, 25489, 46180, 96736, 5887, 247114, 5137, 287773, 60728, 7380, 108022, 182042, 30064,
  54842, 72963, 28745, 42623, 26922, 16894, 8922, 6003, 3971, 130326, 30795, 15767, 26361, 58938, 27324, 20292,
  20844, 29628, 16534, 159213, 68642, 15346, 219023, 63240, 170517, 8331, 15673, 3213, 77339, 151668, 65928, 33858,
  123255, 106689, 30575, 26185, 8963, 12688, 15792, 24737, 77818, 92544, 7997, 20221, 150998, 55663, 1268, 41573,
  48466, 14085, 128978, 65797, 36806, 28519, 69465, 20974, 2732, 41172, 202748, 116152, 23261, 39001, 2280, 32931,
  11741, 66879, 195696, 31356, 236162, 62810, 25653, 37741, 18243, 31739, 43296, 15723, 126216, 75117, 27208, 74878,
  28690, 17377, 22841, 46221, 50546, 479, 9735, 5075, 16385, 17152, 9080, 33925, 92760, 24705, 35011, 52286,
  197383, 118668, 24200, 32927, 246558, 83210, 49673, 39479, 201295, 11697, 23650, 58791, 88255, 2117, 58010, 136860,
  67588, 5287, 34543, 6591, 71687, 95613, 48832, 64315, 176076, 18307, 105134, 12037, 172653, 140943, 36060, 3370,
  169058, 87901, 2424, 35703, 33906, 68007, 83459, 86267, 63747, 78729, 15829, 39429, 24835, 60607, 1063, 942,
  157621, 15510, 142744, 36875, 43338, 26941, 6283, 201368, 30050, 1294, 14144, 28874, 46152, 163373, 100423, 33959,
  132741, 10200, 30369, 5793, 2770, 40793, 66426, 145294, 51371, 9412, 47667, 53918, 94835, 47111, 93658, 291281,
  6614, 6818, 28373, 98899, 15112, 55868, 85946, 13126, 11749, 15201, 6184, 52292, 56936, 9994, 67564, 15398,
  1250, 16480, 28355, 50093, 19027, 134101, 912, 36390, 399017, 67061, 175796, 31206, 58036, 37028, 36592, 15922,
  100215, 155543, 7324, 4771, 23388, 157277, 186074, 20469, 55815, 15438, 73729, 36924, 308768, 3933, 6366, 20641,
  124152, 60772, 12026, 70045, 94803, 6290, 19858, 1915, 9521, 22497, 33912, 49717, 64186, 47263, 9814, 19866,
  8971, 350258, 314, 10683, 28, 6135, 16425, 48283, 30427, 224788, 96210, 41227, 62163, 9112, 237935, 8329,
  7616, 14660, 20925, 152205, 103838, 6480, 53909, 29003, 35079, 21715, 38510, 2096, 29203, 37569, 47676, 30859,
  131235, 66331, 56052, 67144, 7743, 65717, 38496, 26265, 17389, 72433, 5984, 42527, 10882, 140995, 248537, 4000,
  37420, 43361, 72768, 79706, 61460, 44601, 88348, 120824, 228512, 92578, 101207, 2506, 85363, 72057, 112263, 74889,
  41581, 61184, 59336, 124955, 131077, 388, 24445, 445574, 62822, 10339, 54594, 139384, 119647, 26960, 115230, 377822,
  10130, 53380, 25507, 4582, 54445, 4045, 113722, 79437, 26925, 51571, 10619, 37744, 19968, 21756, 62099, 38841,
  29016, 19474, 28660, 169417, 24446, 77906, 53823, 54729, 74028, 4315, 3444, 12379, 24176, 2062, 118391, 71991,
  61448, 24221, 58190, 114666, 67185, 84137, 1932, 38777, 9254, 63804, 23453, 23502, 8563, 53758, 17591, 83661,
  119129, 33378, 156031, 31341, 9771, 4905, 245, 10643, 99184, 71196, 20709, 250, 37716, 19394, 203310, 82339,
  39514, 27829, 5347, 68674, 10532, 102550, 189900, 41082, 221512, 57643, 21885, 60429, 258753, 28243, 26729, 38284,
  218630, 266776, 74708, 10059, 55980, 59074, 26095, 4002, 23394, 34908, 56295, 38826, 32141, 56657, 44390, 129016,
  61924, 77979, 141893, 16627, 66749, 173128, 78650, 84113, 32411, 36734, 83212, 22287, 3741, 109048, 15156, 33529,
  36475, 217436, 48727, 82121, 26678, 67771, 256285, 2700, 77010, 79442, 5038, 3136, 44946, 56358, 46209, 4267,
  91203, 9096, 96644, 19035, 128749, 10636, 6976, 205036, 116953, 56466, 63959, 18341, 20476, 42517, 7840, 100552,
  49625, 4375, 77579, 19118, 53116, 3012, 35805, 64719, 13735, 124583, 30702, 85109, 102335, 116046, 63278, 101038,
  29376, 131644, 18364, 4281, 51946, 89017, 31230, 164451, 83407, 14320, 34509, 23271, 67892, 72729, 37652, 77746,
  59212, 14913, 6854, 43898, 34685, 72734, 50838, 3371, 21083, 24922, 49503, 29227, 1546, 61493, 17037, 10316,
  112982, 4328, 38907, 93116, 32972, 99365, 223827, 37012, 74397, 3821, 103422, 35362, 1078, 29713, 94154, 55450,
  190545, 68894, 29500, 75558, 16082, 49117, 103414, 107471, 86140, 770, 35589, 44869, 58591, 17981, 10817, 9420,
  89611, 22016, 15994, 34959, 101531, 126914, 193257, 72721, 10061, 73572, 85338, 101867, 105104, 609, 98863, 73482,
  76319, 100600, 207540, 8308, 20035, 8093, 56554, 15585, 17551, 38570, 177750, 85937, 52611, 10767, 28909, 26249,
  169061, 139097, 59137, 254690, 190842, 27037, 47208, 1901, 100780, 278291, 22166, 32105, 23907, 107009, 147748, 23093,
  90413, 43974, 38278, 110542, 115619, 45653, 24331, 51759, 9675, 125197, 28009, 227009, 34710, 181128, 25798, 132667,
  193435, 41954, 44477, 110078, 49443, 28528, 66593, 13781, 129734, 5325, 109119, 17206, 11183, 17837, 41403, 199989,
  258877, 23595, 49436, 2482, 16318, 60636, 117129, 70004, 136182, 100062, 20218, 28137, 126808, 127896, 48962, 38967,
  44635, 13158, 93741, 10921, 27304, 68089, 142263, 18325, 192375, 147811, 36115, 47851, 2599, 12879, 123482, 145544,
  125648, 78600, 106709, 37509, 47051, 31245, 9380, 153218, 12091, 99206, 351089, 1706, 23814, 20083, 2942, 45798,
  721, 22708, 105601, 201509, 58800, 153251, 16149, 130340, 40137, 47023, 45551, 84104, 66726, 85042, 67373, 116656,
  97930, 21507, 18614, 49333, 60877, 118514, 56360, 10125, 74487, 128507, 90887, 17233, 7942, 46505, 12104, 513,
  54326, 57737, 60599, 113700, 9841, 11073, 24431, 42281, 41428, 3734, 51341, 225984, 13762, 7257, 11599, 104571,
  8211, 44012, 104316, 48008, 85383, 17867, 24242, 577, 6950, 151859, 2565, 40033, 99177, 174326, 186646, 2995,
  79806, 4196, 14521, 60729, 201786, 35248, 27115, 28097, 296464, 53923, 41708, 44679, 124087, 83378, 146584, 6497,
  13144, 70640, 20047, 27733, 29741, 53377, 153924, 19142, 41721, 171276, 66163, 88810, 47634, 5092, 38780, 86108,
  55088, 32716, 141186, 15641, 254286, 116055, 26764, 59396, 106408, 75258, 2560, 73860, 17041, 253752, 52211, 39488,
  99064, 95466, 64462, 11423, 12942, 41175, 93052, 29798, 64086, 46186, 33800, 33567, 45233, 66006, 7617, 49299,
  14005, 40955, 150448, 239881, 2612, 82651, 30016, 5178, 55827, 9423, 94272, 251540, 255, 30751, 103573, 11587,
  7984, 28977, 4978, 95968, 13980, 47836, 58308, 50268, 38574, 77347, 20931, 57083, 12776, 22503, 10, 4635,
  46654, 154112, 11869, 151047, 73499, 9650, 31746, 60983, 249951, 39416, 25878, 43811, 2101, 9653, 7416, 8737,
  26676, 92346, 181430, 83072, 25996, 158181, 85015, 37325, 132326, 48445, 2731, 75518, 116415, 209483, 32511, 38210,
  119062, 17333, 2785, 908, 50449, 214116, 161693, 5897, 31033, 187419, 60336, 5447, 23038, 9049, 23426, 57262,
  11589, 1592, 18499, 5286, 179252, 44973, 418, 77691, 20007, 18386, 42112, 52950, 14860, 1598, 187402, 62235,
  129270, 92667, 2326, 100310, 21143, 53140, 34792, 111283, 17796, 65259, 194012, 97011, 144715, 35840, 20371, 15935,
  60106, 189595, 22778, 41157, 70758, 50788, 46106, 29863, 69842, 86840, 30479, 14570, 34674, 67390, 15509, 71299,
  282133, 2275, 35835, 109932, 44014, 100391, 67192, 15948, 16774, 13637, 53829, 16317, 57268, 94004, 20544, 25822,
  38528, 40203, 28555, 97510, 24053, 21113, 6021, 47281, 46373, 2496, 116133, 176010, 201667, 28820, 53091, 166496,
  28327, 26507, 34663, 247773, 471023, 17682, 2427, 24715, 51889, 11389, 166917, 3466, 102667, 63097, 164910, 47310,
  21193, 150917, 3081, 121294, 114909, 56277, 57524, 64525, 84132, 17553, 63486, 76104, 69317, 55368, 502, 4853,
  96723, 70125, 25212, 69051, 67969, 36687, 75249, 1403, 16134, 580, 2956, 41676, 68145, 22459, 93435, 124068,
  15058, 46025, 62695, 17614, 28765, 189125, 1647, 15184, 32035, 23120, 137691, 51605, 2524, 74673, 6620, 207114,
  101089, 36259, 21019, 104217, 98664, 31074, 19082, 94463, 25045, 6564, 91038, 90673, 76571, 79552, 64302, 92382,
  14957, 61083, 144594, 201758, 86040, 109363, 266748, 12661, 118506, 125644, 159814, 57896, 262428, 108888, 87913, 33717,
  154764, 294744, 43549, 58731, 81573, 67852, 24804, 51538, 39681, 122957, 62858, 15248, 283900, 55535, 49196, 35328,
  73287, 114610, 61587, 16985, 127825, 28981, 37479, 9256, 544, 41344, 20620, 91193, 80448, 170849, 59318, 7633,
  52347, 121720, 45439, 11408, 38512, 20264, 4581, 36309, 175971, 26347, 10413, 16235, 15180, 35078, 30388, 152653,
  45467, 29969, 183795, 49439, 33086, 1929, 164867, 88587, 46552, 130665, 18076, 34437, 48894, 15770, 53144, 83762,
  81107, 66843, 19430, 136312, 43213, 23986, 22371, 51721, 36672, 73932, 85044, 11462, 54025, 63006, 70924, 28412,
  76703, 388659, 28510, 37525, 8053, 29403, 351574, 243678, 7608, 105640, 74981, 222745, 13299, 69352, 22764, 32848,
  56619, 140685, 29353, 106, 20752, 4501, 61795, 68153, 238099, 39552, 89245, 17454, 54164, 23662, 42008, 59724,
  105133, 53821, 26404, 115768, 1444, 16209, 287358, 17881, 32942, 78671, 61192, 56974, 953, 17778, 20882, 55194,
  37564, 73360, 211669, 11594, 8000, 109829, 67377, 21481, 66316, 204718, 32898, 37701, 119463, 6868, 32788, 5503,
  106817, 232653, 56662, 123157, 404, 44879, 169840, 19912, 13667, 10522, 13222, 180347, 149108, 31852, 19954, 1455,
  128597, 19388, 66139, 13463, 31267, 28564, 85407, 118622, 10269, 12637, 135119, 151455, 49836, 122605, 44182, 26588,
  106150, 14664, 171949, 1452, 1484, 40891, 43483, 32813, 52330, 160046, 414611, 4668, 76965, 52847, 285294, 29777,
  160486, 19187, 64830, 245534, 171648, 8708, 16151, 96632, 38456, 197248, 3824, 13111, 31263, 5534, 22810, 94095,
  22424, 5060, 6994, 76043, 37738, 54013, 153414, 28274, 66245, 103049, 7220, 15850, 67467, 48469, 60783, 177423,
  143369, 15480, 20191, 1782, 60471, 187319, 90210, 9498, 75610, 1006, 245177, 1892, 20895, 6738, 21020, 52235,
  115528, 104750, 54596, 6369, 86070, 14562, 167100, 84334, 60854, 23828, 51465, 49525, 40796, 89711, 108733, 53141,
  49347, 11699, 22079, 52616, 18989, 60426, 6070, 1322, 15030, 77286, 28845, 5836, 11371, 49753, 49923, 40348,
  37578, 73337, 2788, 68945, 15779, 203365, 40093, 11808, 79867, 81426, 46442, 9689, 10187, 52258, 15730, 33729,
  86462, 49418, 30284, 16818, 46402, 43558, 19285, 95141, 155626, 31136, 296724, 58803, 93200, 46488, 332562, 48870,
  40229, 30569, 5173, 69228, 7090, 28830, 105171, 66711, 57547, 57695, 42695, 76635, 108053, 24676, 92847, 18249,
  99598, 51389, 17912, 84688, 11088, 33411, 178627, 569, 47505, 18773, 121108, 7263, 41218, 129818, 35668, 32165,
  206017, 146881, 10066, 21894, 2173, 12265, 27741, 23761, 20988, 8052, 179620, 44251, 30219, 107113, 49515, 5809,
  22919, 43643, 10121, 20448, 80563, 119663, 169374, 59245, 57566, 90682, 12457, 225388, 42369, 203562, 11662, 128551,
  93141, 84259, 24761, 94597, 41675, 122505, 212284, 48603, 2407, 9599, 7883, 24703, 182519, 107518, 90911, 22385,
  120495, 22791, 32676, 56812, 27154, 24521, 13655, 41800, 16702, 262168, 63509, 14150, 29456, 135382, 45733, 66046,
  14349, 2518, 233250, 50438, 7958, 21556, 8312, 32247, 16688, 7974, 4721, 4342, 117177, 13427, 43940, 123614,
  140375, 20924, 42414, 505, 42467, 36757, 55097, 32118, 261919, 34892, 58385, 134010, 74916, 2566, 138977, 120089,
  153569, 42388, 97409, 75482, 10836, 123, 5341, 33838, 34742, 48578, 76395, 92995, 49526, 37105, 106505, 72144,
  7621, 24215, 152644, 48127, 105997, 73105, 87109, 52037, 12212, 625, 111988, 112734, 2270, 76628, 35699, 44168,
  392377, 67240, 91475, 67254, 7755, 119314, 9723, 6967, 17959, 185692, 25707, 36302, 25086, 109996, 7225, 112068,
  232152, 122120, 101654, 13640, 138791, 16408, 39845, 8399, 33847, 12887, 152461, 34536, 13860, 12517, 180090, 169472,
  35316, 3208, 52910, 286726, 5811, 60049, 6687, 6745, 1344, 108692, 23669, 20503, 71259, 58644, 186034, 23770,
  50452, 17374, 5900, 712, 207539, 154425, 93220, 54448, 92635, 125802, 14285, 77361, 50359, 69288, 133264, 162621,
  5821, 93205, 28457, 129771, 33674, 8402, 51971, 38768, 30255, 195827, 18512, 68308, 2086, 8475, 44179, 212,
  2587, 255482, 11233, 42032, 96264, 234156, 71743, 9619, 17543, 9966, 59340, 53, 42, 51576, 68365, 150251,
  6029, 116729, 63303, 1303, 9580, 56310, 126033, 11299, 43007, 25304, 11348, 2202, 139248, 211176, 10147, 4290,
  82831, 107660, 57933, 177074, 12917, 54254, 36738, 72091, 29607, 42295, 47993, 166376, 25786, 73979, 352922, 17657,
  51467, 73749, 5917, 82140, 42137, 39138, 697, 49880, 85161, 40070, 149172, 172144, 100698, 83192, 48718, 29859,
  31561, 21429, 53401, 29518, 88989, 43651, 46656, 32160, 121990, 32912, 74292, 57977, 278500, 63671, 75205, 23517,
  3602, 60467, 33461, 137178, 109344, 49843, 1353, 103161, 37982, 43271, 19531, 62950, 15279, 34216, 34547, 113009,
  116442, 189404, 140865, 134948, 28936, 38460, 59707, 136053, 30880, 128067, 49530, 48855, 87894, 16331, 15771, 63989,
  58079, 104481, 125524, 14569, 128661, 25492, 365675, 116367, 126731, 94516, 122818, 30710, 67392, 52767, 2196, 47261,
  28051, 49914, 333288, 29945, 146885, 100058, 31013, 158363, 4861, 1817, 42266, 21215, 16216, 4256, 54248, 112813,
  97344, 128078, 30238, 120987, 42827, 6923, 14989, 69805, 147561, 47842, 51853, 2647, 153948, 13103, 39122, 18142,
  22684, 76687, 15882, 92285, 21335, 29519, 3993, 86408, 47685, 39612, 24929, 19453, 1853, 134405, 114177, 25894,
  43349, 26803, 12267, 92165, 15185, 61540, 9990, 69281, 59642, 76734, 309690, 136935, 10229, 92038, 49815, 104501,
  25520, 66774, 32406, 37445, 187921, 81418, 18633, 84262, 108972, 32019, 103853, 41207, 5579, 45804, 210683, 27613,
  98037, 39566, 18876, 154815, 24945, 108917, 31510, 38406, 6697, 20809, 29164, 106328, 19193, 8247, 16805, 3543,
  63734, 213048, 201574, 22433, 137934, 31798, 217223, 2939, 75056, 140267, 99972, 3047, 89740, 22878, 4763, 62402,
  19767, 110374, 49959, 24684, 224268, 106487, 32793, 8178, 56138, 27795, 3080, 77954, 63643, 24857, 121435, 175431,
  151661, 102435, 15023, 177670, 39313, 17174, 24416, 12895, 70618, 46646, 17001, 27902, 84031, 58519, 21749, 50823,
  89723, 59027, 57596, 61596, 84074, 33007, 8029, 24120, 13703, 108284, 63542, 58816, 85626, 83071, 91820, 14146,
  35460, 124390, 61351, 8006, 8867, 11495, 4529, 43870, 64845, 13482, 73015, 24763, 3439, 9485, 79856, 23851,
  57906, 220428, 88667, 80708, 99776, 38036, 39933, 208871, 63968, 30726, 291083, 68, 49270, 106842, 112123, 27384,
  81130, 110097, 118834, 241402, 34356, 13923, 23897, 40492, 16210, 71957, 62441, 58550, 23547, 13636, 20131, 42294,
  36446, 81802, 1100, 142364, 34090, 61710, 9270, 107601, 140028, 39980, 1414, 320109, 72439, 66107, 14862, 134653,
  2221, 1149, 9546, 36018, 22163, 35318, 143604, 19080, 57058, 48579, 2621, 55599, 363492, 110403, 14828, 57857,
  113754, 25759, 29811, 61553, 18913, 107232, 5290, 75792, 95451, 70056, 214553, 3329, 48663, 24095, 11961, 96108,
  54464, 155383, 53360, 112141, 54037, 49177, 57901, 67842, 176097, 123321, 6506, 228274, 68425, 4036, 160696, 23121,
  3023, 30678, 64279, 90792, 34906, 65080, 9259, 58549, 29482, 27140, 216012, 23499, 117389, 49482, 25665, 100543,
  341780, 54232, 60358, 235308, 80431, 37334, 14300, 53910, 58330, 29194, 117489, 59804, 16753, 37401, 37127, 35030,
  92616, 62680, 44495, 8116, 60907, 43835, 168603, 37896, 94846, 842, 40856, 25319, 147486, 395164, 90387, 68791,
  4498, 25599, 15543, 116574, 48646, 254235, 132631, 3917, 7773, 30355, 18277, 60008, 46801, 74243, 4222, 85032,
  7778, 17592, 14912, 22293, 18946, 6094, 46, 29454, 464978, 48886, 97248, 14694, 47558, 169023, 3388, 127473,
  33223, 22400, 144764, 181865, 177444, 13371, 44931, 27593, 7328, 194219, 91202, 3836, 15626, 22427, 52166, 39152,
  63337, 7531, 59378, 193696, 94700, 27634, 40257, 41337, 11743, 257393, 217307, 346548, 9351, 73104, 41502, 1488,
  255024, 105660, 39615, 20814, 39098, 149478, 69081, 19993, 16447, 55270, 37583, 19645, 42647, 14979, 8926, 28968,
  96230, 49277, 22527, 34250, 39769, 81745, 50791, 18698, 58840, 44616, 70138, 6720, 10068, 38140, 5653, 99473,
  63439, 3743, 19237, 163704, 35800, 1626, 33560, 38455, 65843, 158617, 28684, 92983, 58823, 71795, 71233, 1075,
  413844, 42288, 157276, 38514, 9156, 131335, 59762, 40948, 51258, 46584, 9950, 55371, 7434, 2577, 42703, 1693,
  61791, 27603, 63320, 25608, 85018, 30872, 100002, 36167, 6872, 2669, 51250, 778, 3692, 10451, 28383, 163025,
  28096, 44948, 19074, 128798, 7121, 36683, 2203, 17586, 33024, 70070, 348622, 5061, 6009, 23593, 42442, 28013,
  75532, 94062, 64585, 284254, 31997, 89645, 102394, 31393, 192535, 48721, 71088, 128192, 9661, 61738, 34411, 50069,
  3304, 16352, 53075, 45568, 9547, 42732, 1178, 93157, 14753, 88072, 51599, 88701, 31987, 23387, 63847, 44965,
  25314, 47565, 7560, 2438, 55689, 1314, 346, 23289, 15896, 475529, 112925, 131467, 20430, 150168, 2504, 17375,
  39472, 54601, 34817, 12000, 31340, 27414, 5063, 41639, 99744, 6404, 117189, 259172, 25398, 35063, 46527, 96170,
  115569, 8068, 179160, 161042, 54883, 97999, 36646, 8523, 28719, 11447, 6735, 26129, 205423, 83805, 44478, 94354,
  23071, 9474, 27662, 132536, 57855, 155315, 195915, 61922, 64638, 69412, 89700, 153852, 149867, 22483, 25631, 4401,
  25671, 191634, 58296, 7593, 82403, 23703, 17554, 61290, 37616, 211689, 4980, 2922, 20668, 148622, 109058, 2724,
  39989, 54579, 389750, 94744, 77996, 131928, 41416, 77516, 74948, 105981, 7862, 49124, 140555, 58696, 4033, 57560,
  175248, 201147, 43956, 80013, 64810, 82504, 14552, 11127, 36515, 10704, 23006, 45490, 46595, 111926, 16970, 31954,
  4958, 113746, 35379, 27153, 248773, 34760, 166030, 69750, 24045, 70012, 121173, 53304, 28728, 9870, 156097, 134089,
  136673, 71920, 25774, 2488, 168704, 5343, 127631, 74486, 20804, 188876, 26283, 102354, 114833, 476, 53497, 38795,
  100325, 26879, 18226, 1066, 27135, 41772, 14104, 58513, 21205, 5221, 84659, 49948, 96151, 18525, 149506, 51579,
  153134, 107909, 85993, 35590, 45992, 15182, 68394, 22750, 7093, 6602, 26954, 2528, 13992, 8645, 3748, 38754,
  76047, 16039, 28854, 52143, 1980, 22387, 6152, 255879, 19432, 56677, 64082, 99361, 145001, 56506, 42169, 13125,
  75159, 24500, 41901, 21053, 87462, 109469, 103771, 55888, 17710, 31989, 233429, 5318, 1013, 119131, 13220, 94790,
  45556, 27216, 5013, 108338, 34297, 51598, 16968, 224489, 144882, 29596, 70103, 32634, 20648, 23171, 115640, 2381,
  26061, 129018, 59090, 67066, 11319, 1052, 66080, 134106, 129567, 36464, 198632, 6394, 108555, 342064, 340, 57976,
  18872, 21980, 39272, 117475, 464580, 20395, 93823, 156783, 33386, 22005, 34188, 504700, 22717, 50887, 196433, 44491,
  65948, 106413, 3639, 94733, 167189, 37296, 49229, 1697, 5603, 70017, 72359, 61123, 135042, 93369, 6109, 45001,
  79542, 96019, 54203, 50884, 8801, 68912, 114197, 59072, 202632, 47922, 8431, 242124, 18114, 54405, 129410, 6472,
  91882, 124518, 39386, 91470, 5973, 31594, 93512, 401, 5239, 5661, 24933, 37492, 67315, 15503, 24586, 447,
  4431, 98481, 20358, 144946, 60916, 297453, 66825, 30645, 47819, 105167, 552, 87909, 71693, 40566, 5307, 32293,
  32597, 12315, 4634, 118577, 32606, 74622, 13999, 1446, 18183, 5010, 92389, 27675, 45072, 186756, 72549, 62625,
  80329, 3174, 188490, 17768, 76385, 56061, 44774, 4792, 24749, 6756, 29971, 24565, 51305, 2866, 185714, 7372,
  40314, 131257, 46345, 142745, 156514, 10853, 14992, 9306, 14693, 140671, 18567, 166507, 130345, 6503, 52141, 7521,
  13168, 8694, 14811, 40576, 66214, 114434, 97632, 88033, 18029, 21365, 15834, 397881, 12858, 6804, 73691, 171818,
  34801, 11558, 167427, 172844, 27628, 109803, 44373, 61609, 14544, 8723, 7897, 26839, 10823, 38501, 189122, 32876,
  40522, 18836, 231040, 28016, 40185, 9487, 60378, 40240, 33739, 35931, 69716, 16764, 148694, 148116, 26429, 90031,
  23548, 130862, 153367, 10154, 9923, 25899, 86890, 187712, 61012, 106844, 119164, 108121, 28859, 151900, 43746, 70054,
  17933, 46633, 32051, 40306, 19442, 73866, 51802, 202389, 34364, 59031, 39109, 86049, 99849, 27312, 354059, 431,
  164107, 160825, 29370, 26855, 141167, 209995, 47475, 25126, 30629, 112486, 16641, 31932, 21054, 13503, 62291, 8461,
  6744, 25340, 5056, 190589, 36491, 1498, 102273, 136482, 8096, 46702, 98246, 56502, 42474, 9181, 111985, 43767,
  41706, 30774, 3932, 26549, 155060, 66159, 102266, 53051, 30650, 208931, 3598, 31618, 10600, 67535, 135897, 87806,
  163442, 104978, 10409, 139772, 1143, 40979, 7330, 98219, 96655, 131263, 25023, 114039, 61390, 192001, 15973, 35549,
  52359, 902, 12202, 5580, 7559, 52829, 36364, 11107, 51568, 3787, 4394, 31819, 64256, 1505, 29813, 365608,
  203854, 33802, 39839, 47786, 4467, 50956, 226690, 12884, 22453, 47648, 16676, 45252, 14504, 2855, 18627, 541,
  436398, 14538, 2406, 20, 7878, 60282, 10602, 109448, 6980, 70267, 22616, 27176, 8293, 85130, 294480, 30144,
  63610, 187294, 289665, 163077, 293747, 55641, 995, 86282, 16167, 131142, 7732, 139426, 35763, 21669, 81048, 1053,
  19627, 16183, 153848, 41955, 147603, 49219, 127527, 60498, 15419, 62976, 59946, 18598, 18032, 16576, 207, 4670,
  110744, 11552, 9989, 2349, 51346, 15073, 25998, 160678, 33681, 220089, 68035, 65033, 54571, 77929, 12230, 88125,
  40472, 148399, 62247, 44687, 48615, 158618, 103484, 11572, 39073, 41233, 3610, 86331, 21604, 36776, 83989, 518,
  13754, 34617, 179678, 35290, 173027, 43237, 66547, 59016, 92560, 12741, 157332, 29334, 11083, 67849, 24492, 90041,
  47299, 109304, 10326, 20058, 63062, 46195, 31632, 9568, 11813, 949, 131768, 139099, 52007, 9458, 46429, 12293,
  29883, 97116, 3732, 32343, 9734, 20328, 4732, 83588, 139722, 11257, 49471, 2051, 15953, 233007, 15439, 88041,
  1550, 78033, 39910, 56576, 20651, 32790, 66091, 16869, 13616, 226368, 19098, 20124, 49306, 274210, 41089, 39818,
  16113, 202390, 49166, 5280, 90089, 148031, 55043, 2264, 92326, 62595, 168341, 67080, 7584, 39228, 2679, 31454,
  30712, 21771, 49469, 8092, 72424, 14892, 94819, 370101, 164858, 14108, 16628, 34424, 6831, 26672, 13360, 10293,
  152871, 13708, 152221, 56275, 55746, 3003, 189905, 73541, 197721, 19461, 138468, 38166, 34167, 86972, 78519, 126458,
  196442, 22647, 131900, 30322, 6022, 31039, 95120, 35519, 112107, 2704, 104049, 7805, 55215, 99039, 8898, 61822,
  7538, 79147, 8674, 19781, 123381, 122030, 61080, 29510, 4920, 252926, 24948, 29594, 43539, 79504, 36116, 27926,
  77165, 119791, 10396, 47075, 8939, 65089, 91291, 49470, 50392, 130812, 24665, 5396, 34192, 146915, 55, 32388,
  20225, 170176, 24246, 18217, 79762, 97481, 187002, 170504, 22505, 166717, 11581, 22954, 58667, 24092, 24239, 34967,
  40770, 168985, 20697, 10796, 29788, 36609, 33121, 48586, 97180, 70956, 4247, 10919, 82835, 29387, 24795, 134813,
  4568, 41932, 107494, 12409, 8579, 7615, 78083, 27482, 13273, 222151, 109832, 56337, 363569, 100711, 21692, 74289,
  35898, 156666, 112372, 33193, 49983, 165146, 13906, 30221, 436, 23307, 161876, 16834, 36598, 80261, 40181, 489,
  3237, 17307, 33708, 68069, 131691, 47411, 142213, 17996, 62418, 20656, 40859, 30297, 35591, 115572, 96762, 34638,
  8101, 100105, 87872, 93118, 4073, 13106, 53663, 14555, 379438, 12544, 34665, 144134, 65218, 83887, 41458, 1700,
  76072, 7062, 45362, 51519, 33887, 113928, 230002, 145590, 2968, 109731, 69584, 145887, 27573, 34080, 696, 54442,
  212619, 61698, 42014, 1469, 288680, 91524, 69494, 176890, 68278, 36380, 91390, 73061, 72851, 136365, 18061, 126629,
  150504, 108159, 73403, 20532, 217896, 18800, 83394, 3780, 6913, 42351, 72130, 124219, 121339, 338937, 19687, 8446,
  22017, 13873, 48885, 120125, 35340, 27891, 4562, 52291, 51072, 5972, 97159, 14055, 43616, 105781, 67483, 207916,
  75043, 12256, 28487, 7209, 31437, 59474, 13217, 149676, 10833, 46754, 7502, 32640, 81487, 26299, 56642, 3989,
  4364, 2409, 1896, 58704, 22968, 42546, 57069, 47889, 41454, 136134, 46051, 102015, 106687, 15526, 254717, 58,
  85446, 14369, 99446, 71688, 19863, 126847, 291582, 51244, 109625, 70818, 1547, 189380, 149241, 28615, 6289, 179303,
  524, 62440, 6853, 175754, 141850, 162709, 4217, 140213, 214404, 32835, 370939, 250072, 54376, 228761, 71916, 144701,
  657, 89940, 17521, 80160, 237023, 148575, 164257, 272527, 9401, 198903, 24729, 17703, 108137, 43135, 48966, 56162,
  53800, 36151, 13173, 1783, 32474, 18864, 70754, 46888, 49712, 30038, 58553, 64793, 53334, 174049, 42965, 84561,
  126876, 70090, 16520, 63753, 27337, 69921, 58122, 69010, 45552, 33142, 1092, 120910, 177696, 3676, 16059, 23396,
  8269, 22160, 9571, 34657, 15036, 46764, 37354, 25445, 12097, 63888, 48103, 145, 42240, 80858, 105547, 28234,
  2328, 51188, 12063, 12469, 125374, 98182, 171585, 129756, 119295, 23533, 25395, 181401, 99715, 107908, 42579, 37609,
  2500, 59133, 67194, 46635, 19624, 31959, 24153, 277972, 39441, 105587, 56371, 24069, 27220, 18122, 50693, 3846,
  102691, 55065, 140440, 293, 60957, 118436, 1340, 17314, 94543, 71522, 9010, 49481, 39101, 30757, 52442, 3349,
  18566, 55681, 6148, 49861, 67362, 29473, 16424, 51773, 13975, 16105, 153263, 53902, 78230, 197042, 15803, 187130,
  25017, 6214, 105388, 38599, 34017, 9107, 660, 114778, 239007, 212872, 16230, 195154, 90027, 38987, 248, 60897,
  39351, 34856, 31011, 21775, 41681, 1559, 85670, 6103, 35354, 83280, 187563, 5745, 43822, 13397, 20816, 140079,
  1043, 6348, 13019, 188905, 916, 83185, 13921, 197369, 58587, 308353, 44852, 37817, 141983, 32764, 68581, 40892,
  94818, 6526, 46289, 37353, 38799, 65245, 127045, 12280, 75459, 107508, 56307, 93576, 41114, 92631, 22742, 68224,
  67432, 122795, 2131, 30261, 16195, 71686, 80872, 19067, 36606, 55415, 51055, 65943, 59568, 48358, 40947, 230410,
  22272, 116297, 133612, 74166, 126769, 58783, 115647, 39171, 31424, 59980, 6420, 75687, 68659, 22219, 19662, 51609,
  12287, 7887, 94526, 61885, 134302, 46006, 92537, 80123, 257977, 126663, 55154, 71071, 5756, 38621, 29511, 61768,
  207285, 85526, 35878, 1517, 95637, 40711, 214057, 75041, 47248, 72951, 22699, 85378, 117689, 4729, 158936, 22518,
  19583, 25056, 17451, 43230, 77451, 141822, 2028, 7801, 22373, 4034, 75301, 60991, 12200, 59589, 123234, 17449,
  54993, 3264, 16430, 33128, 117118, 56124, 178609, 12642, 34244, 236200, 43665, 19313, 29386, 45091, 42098, 10042,
  34562, 71330, 29635, 50068, 53819, 124237, 44714, 32804, 71267, 130300, 48998, 56578, 64172, 172768, 50075, 17351,
  77665, 85602, 1594, 81728, 49368, 46606, 19775, 75183, 7716, 32889, 26648, 13436, 59301, 29561, 77044, 108652,
  25749, 26512, 343982, 16328, 45426, 53772, 84254, 67097, 194789, 61224, 17035, 160685, 17297, 202215, 135406, 118341,
  2650, 2712, 165122, 39668, 1766, 97847, 41583, 64750, 32501, 260547, 28864, 64103, 45198, 19516, 1158, 166912,
  20403, 34027, 10963, 16141, 20984, 163663, 185362, 27299, 6600, 243594, 45496, 154199, 14171, 53891, 52940, 101642,
  94604, 7963, 104592, 152606, 19037, 11118, 25808, 54515, 5402, 42084, 147184, 18390, 29896, 164225, 162873, 40466,
  9938, 54801, 70146, 66759, 59935, 43540, 58676, 69171, 109708, 38543, 32207, 46591, 88081, 20140, 41767, 101298,
  145182, 39899, 12204, 21085, 44844, 32313, 226062, 13138, 39167, 7649, 21294, 19544, 352626, 42947, 112978, 162137,
  164173, 121993, 17813, 6102, 35374, 5269, 42206, 30800, 45982, 22982, 36251, 17144, 6122, 8671, 8084, 272404,
  154, 122768, 12006, 76527, 73419, 69325, 105807, 9495, 220487, 29197, 89056, 160446, 53834, 197550, 37292, 117751,
  53601, 24091, 108269, 72650, 17992, 118251, 13578, 64227, 8609, 97876, 56750, 36113, 229321, 150223, 85160, 26383,
  5610, 88738, 33839, 35306, 68098, 12374, 121473, 27197, 66815, 63716, 10127, 10388, 71012, 155117, 10660, 38130,
  95069, 200906, 56997, 10546, 140968, 26164, 58789, 80414, 27396, 29337, 17319, 78747, 8957, 43718, 57739, 8704,
  134489, 9251, 14262, 40583, 24656, 39133, 5306, 43837, 86659, 164677, 194782, 27468, 56598, 41406, 95731, 17647,
  134852, 11972, 71605, 77846, 17316, 34195, 24465, 42471, 123838, 4286, 11465, 5223, 255436, 106016, 15363, 133653,
  6613, 57615, 21482, 5929, 41610, 5528, 159163, 20266, 138033, 2783, 48074, 249145, 81452, 57741, 38155, 31191,
  32023, 131830, 8712, 116513, 32396, 160702, 187621, 166002, 123687, 12, 62689, 145928, 63398, 18560, 86346, 150231,
  8693, 5478, 54663, 56869, 29712, 20471, 322015, 164692, 30407, 52016, 160121, 22929, 19296, 52881, 60340, 71650,
  121188, 31059, 10424, 72973, 3551, 30412, 44737, 172383, 36099, 243424, 5274, 49999, 20032, 79415, 43567, 95143,
  111948, 20318, 17729, 101737, 56624, 96891, 161576, 14956, 16547, 135980, 59262, 77152, 27453, 6123, 35571, 43380,
  35916, 62277, 21785, 53693, 15378, 108237, 63, 2276, 52039, 70272, 78694, 41537, 56849, 116796, 14411, 20761,
  13489, 233058, 9422, 23296, 22214, 27805, 167552, 26532, 73177, 43781, 1976, 47479, 53097, 70358, 25233, 10202,
  277349, 32720, 23465, 45782, 2157, 75011, 99414, 46797, 14029, 331188, 26634, 25912, 187886, 51411, 142415, 54672,
  10260, 67364, 68176, 84898, 141743, 32203, 8882, 16414, 246460, 67826, 1065, 38386, 91880, 168610, 5162, 41010,
  50869, 14162, 7962, 335266, 3788, 18011, 86185, 14140, 49486, 66814, 124474, 12893, 133566, 255655, 79151, 46849,
  54950, 40987, 113502, 4653, 33120, 1563, 160382, 117713, 129337, 309186, 18171, 10889, 53768, 44858, 38544, 36763,
  18333, 15858, 58971, 6477, 9525, 8535, 14726, 14096, 26902, 170756, 28405, 233366, 312251, 51708, 14127, 19199,
  10297, 110312, 48460, 646, 9020, 40769, 83604, 51716, 70759, 2649, 59125, 55621, 16647, 2952, 10961, 74126,
  112432, 43916, 267460, 5120, 59260, 28040, 31308, 16545, 84609, 47186, 40537, 205682, 9818, 19650, 93983, 42181,
  82766, 50191, 13339, 114720, 73569, 23501, 5541, 66254, 468, 17966, 5125, 81538, 46001, 88315, 134477, 4042,
  75780, 17161, 37372, 9273, 55028, 52868, 48506, 197660, 52106, 1678, 131509, 88997, 11498, 229161, 99808, 17550,
  43645, 124582, 219145, 8184, 108069, 70061, 175724, 99312, 17150, 2838, 7073, 156152, 17753, 49092, 16803, 1821,
  29417, 92090, 23379, 66219, 16705, 25405, 141529, 27280, 31799, 6767, 12496, 46640, 9606, 10300, 33865, 90498,
  289, 141972, 28645, 1755, 122254, 36574, 145200, 57778, 115975, 15433, 1941, 4099, 8620, 50560, 123303, 55676,
  6133, 5443, 25678, 28512, 255357, 14348, 122676, 93720, 56908, 9978, 32758, 60073, 14456, 30325, 74179, 182377,
  133464, 124701, 18020, 32177, 43554, 808, 19883, 16600, 79224, 7238, 18109, 28556, 11247, 50684, 94823, 7729,
  29630, 27895, 43494, 66615, 160, 75616, 204393, 4150, 12756, 120948, 108425, 9998, 25464, 61334, 213823, 15423,
  65960, 63934, 87262, 84230, 350428, 96963, 99319, 27630, 62521, 82558, 7456, 70035, 321796, 22677, 117013, 180582,
  100359, 79812, 34557, 287830, 67358, 14176, 80683, 114848, 35169, 90997, 1447, 22600, 46172, 146596, 10923, 103084,
  113128, 53346, 226456, 59683, 48988, 21632, 90741, 80771, 88868, 89090, 59673, 44207, 31094, 81602, 72782, 32997,
  33266, 124468, 127301, 33848, 6847, 2940, 167663, 1154, 60887, 4791, 68165, 51588, 98188, 27452, 53523, 3630,
  49659, 31844, 716, 23618, 69117, 101601, 4697, 29366, 92977, 133129, 100459, 35256, 220228, 220740, 11194, 50122,
  13947, 1305, 2379, 119210, 80181, 112061, 18955, 53969, 35103, 28242, 18281, 26482, 62170, 23125, 22627, 17903,
  97351, 70139, 14931, 69751, 13475, 194213, 6823, 66651, 2440, 3123, 124201, 127058, 199768, 273513, 29218, 168746,
  19498, 30628, 254726, 18151, 36597, 16458, 114447, 3813, 46971, 184066, 132731, 85793, 25234, 113561, 20977, 87033,
  67806, 81570, 82077, 83128, 62881, 16590, 59929, 31721, 84717, 54839, 152353, 27946, 73648, 1152, 51494, 25166,
  181966, 18536, 35859, 21096, 10488, 5434, 87296, 116782, 94149, 20100, 42748, 119284, 21550, 80954, 161142, 3281,
  26655, 56068, 31234, 68973, 63436, 197146, 77802, 53836, 48375, 31390, 138097, 215755, 14405, 14690, 48482, 192674,
  165650, 4356, 6779, 90318, 9621, 53563, 21892, 11380, 24439, 27988, 65408, 32100, 28043, 30121, 124, 52304,
  42735, 36882, 47875, 40915, 4490, 1857, 64523, 63890, 29963, 3265, 24732, 6558, 56674, 255187, 78937, 55716,
  45373, 202097, 105143, 40496, 1934, 50343, 10400, 93193, 262446, 123174, 33291, 88639, 50855, 19733, 11387, 78609,
  67098, 33565, 79076, 71724, 26898, 68956, 47175, 78105, 5261, 194162, 6861, 11334, 52696, 3195, 1099, 854,
  40644, 42446, 51986, 165826, 33900, 14512, 8567, 107082, 9440, 96468, 48368, 15017, 180286, 38407, 11266, 27073,
  87162, 25059, 1767, 90124, 22940, 50038, 4456, 79274, 19704, 269589, 3740, 24611, 26936, 118228, 122759, 44861,
  69769, 8268, 21928, 1448, 10254, 25662, 37572, 15808, 101759, 47818, 56338, 32066, 27406, 61598, 102489, 68037,
  12243, 45731, 6222, 13525, 48000, 97528, 22882, 28821, 73926, 12033, 35515, 19990, 113215, 45359, 13095, 69110,
  54935, 144153, 32952, 39972, 5726, 20322, 27148, 119607, 192787, 10814, 127655, 29129, 4312, 11899, 293735, 47721,
  106216, 47945, 13663, 4293, 9366, 4600, 36217, 51600, 11550, 30486, 35147, 4378, 52949, 225366, 876, 56535,
  23457, 10620, 14352, 63024, 212271, 53386, 55283, 2154, 277152, 6832, 58247, 34965, 133895, 60302, 8020, 17598,
  108374, 41827, 77422, 41356, 6191, 78382, 44389, 79737, 96477, 57997, 36253, 168231, 29980, 58643, 13506, 77777,
  218916, 163459, 37836, 70135, 58024, 40795, 89998, 95793, 54696, 46896, 3850, 14959, 40853, 50010, 53886, 103929,
  91124, 21842, 109259, 112031, 65894, 24294, 11400, 75618, 91170, 52085, 77528, 106068, 65908, 36186, 196059, 70011,
  252552, 674, 93814, 79169, 6793, 31343, 87518, 50063, 29212, 56507, 62602, 24490, 15389, 130371, 20806, 17839,
  44516, 4956, 102925, 118742, 122515, 17602, 47643, 17175, 52617, 34827, 384, 128737, 35058, 16456, 4055, 91444,
  9017, 27903, 32324, 74054, 103536, 349949, 23135, 91177, 39510, 20237, 139249, 107742, 49136, 161940, 10176, 4296,
  19242, 19236, 38664, 13941, 130652, 63883, 181786, 74033, 662077, 40517, 51656, 4092, 74699, 174254, 30240, 249851,
  47024, 124719, 88983, 17979, 31422, 88107, 12752, 18046, 8517, 112048, 15131, 61643, 73351, 4553, 10608, 181387,
  24399, 17507, 26238, 34094, 13867, 45419, 28560, 23320, 128360, 95692, 140246, 250559, 4810, 17968, 25372, 235183,
  4434, 11316, 6759, 113457, 61779, 50021, 20556, 133305, 111983, 259709, 231509, 141441, 61036, 58891, 28950, 14898,
  17798, 35773, 7261, 450465, 110240, 66004, 161650, 164984, 59722, 17874, 41866, 39325, 102960, 36234, 10606, 25254,
  39688, 16397, 879, 188946, 10001, 46267, 109745, 88992, 23803, 12899, 109186, 223568, 23039, 16254, 20592, 126376,
  176498, 68200, 93812, 5609, 56659, 71490, 16814, 75820, 44814, 26002, 31909, 11613, 134295, 51635, 17304, 5479,
  17188, 72639, 166564, 60617, 77577, 9173, 51736, 125261, 74466, 141449, 33396, 52135, 226175, 206041, 16540, 2241,
  102472, 15065, 11417, 44369, 154333, 39439, 21371, 35696, 63900, 86098, 215585, 10637, 111747, 26520, 35829, 5072,
  18062, 38762, 86113, 33683, 41171, 51676, 206735, 11386, 79669, 104994, 174586, 84969, 32773, 6701, 65682, 16472,
  408933, 62302, 88447, 143840, 42562, 29889, 168822, 199833, 28931, 31217, 94805, 6702, 30907, 53329, 73464, 80367,
  107388, 92999, 83741, 56375, 43487, 94239, 54863, 13740, 2946, 15038, 117251, 65511, 240310, 36372, 2795, 110090,
  23938, 154352, 180646, 13562, 24354, 38003, 14983, 27192, 319, 49724, 68544, 92943, 184983, 39339, 36199, 161825,
  7927, 16738, 7599, 1393, 6488, 53031, 27832, 35812, 1422, 77769, 52152, 9393, 10790, 70529, 103117, 58677,
  68809, 142754, 214789, 212425, 68209, 24340, 33236, 124155, 64775, 336, 120720, 43770, 4361, 63444, 9512, 52337,
  202, 37869, 58071, 28602, 17123, 124940, 64579, 79394, 59634, 16838, 71347, 33171, 51200, 72048, 194123, 84312,
  44391, 184338, 30592, 49986, 18188, 72135, 53498, 57477, 17843, 74498, 12560, 37524, 2619, 153428, 26875, 24918,
  74278, 49884, 44432, 39983, 3230, 39257, 81646, 26616, 9540, 23710, 69802, 52778, 47187, 280, 20102, 190963,
  21702, 33112, 201384, 189730, 36274, 151103, 62470, 79614, 56894, 160976, 37846, 3819, 43907, 28142, 33980, 44483,
  16310, 43780, 91255, 6410, 34790, 53414, 55594, 62493, 16866, 126630, 78730, 70800, 6150, 2638, 96447, 42805,
  5561, 80903, 142508, 69107, 13587, 90093, 68310, 13770, 107545, 142426, 6310, 11281, 108873, 30379, 19476, 19039,
  126867, 47619, 44321, 1557, 86986, 12174, 285300, 692, 28640, 174731, 39442, 33395, 33427, 183086, 62041, 33967,
  19017, 71946, 141533, 41962, 5762, 27368, 19966, 260045, 80637, 136704, 106076, 25336, 17430, 7907, 59393, 184,
  46903, 143058, 51209, 156531, 2047, 28617, 58028, 3727, 131055, 2181, 190078, 104219, 25958, 39516, 25800, 76861,
  13558, 64738, 31952, 28604, 5444, 142725, 28795, 87891, 47152, 833, 20563, 69475, 13900, 17091, 271888, 185043,
  44563, 4833, 59908, 40623, 122857, 138131, 6213, 136826, 45348, 94359, 56641, 22196, 70863, 57354, 56451, 72278,
  39593, 53647, 46234, 29708, 54332, 63721, 17639, 16420, 38068, 45645, 18971, 54437, 33637, 39722, 36484, 68634,
  318, 5298, 22418, 20417, 40310, 88, 18126, 44073, 143467, 137263, 71354, 82354, 18502, 189426, 11156, 72484,
  24520, 27572, 28397, 1057, 11377, 43227, 61610, 141001, 62013, 3621, 2123, 25838, 28942, 106389, 138280, 139177,
  27246, 10742, 1290, 24912, 28269, 40413, 12701, 122933, 83545, 3131, 5191, 33319, 17999, 208755, 75460, 44990,
  59015, 14954, 33696, 180654, 90707, 63223, 87538, 51, 30065, 70087, 47405, 49098, 15161, 490862, 57902, 10363,
  34720, 124013, 2826, 107593, 1263, 16539, 8297, 53595, 37008, 190173, 24783, 28381, 2012, 14817, 222228, 23569,
  6060, 37405, 4132, 23773, 98575, 114011, 35293, 24317, 92933, 80389, 14038, 96901, 5721, 58820, 71786, 38355,
  299, 2937, 128393, 129071, 199555, 22135, 61163, 3457, 24578, 103336, 75552, 8037, 29223, 24032, 36855, 65087,
  2985, 11252, 15167, 48922, 743, 16251, 113770, 51774, 115825, 202685, 4095, 133501, 109523, 3240, 22784, 51862,
  136657, 17899, 114978, 57429, 47454, 8657, 11392, 32391, 26378, 35272, 1426, 34467, 53586, 83481, 40561, 57729,
  3733, 111799, 328168, 6514, 174945, 20097, 14557, 18636, 93340, 171450, 639, 117760, 244456, 15998, 75359, 111774,
  5693, 73895, 98142, 34182, 37386, 132752, 48186, 121074, 28782, 11866, 26615, 23940, 89767, 129357, 80551, 82029,
  27545, 83711, 126798, 801, 23573, 21400, 128295, 14924, 18798, 114163, 50035, 114816, 136425, 471234, 15959, 173936,
  34320, 17327, 80636, 27686, 84778, 119579, 98823, 73515, 20041, 82828, 124250, 4650, 48453, 64519, 115563, 26853,
  38215, 37801, 92219, 69955, 7477, 145790, 19159, 94085, 71958, 65302, 12375, 44454, 40621, 106911, 19581, 3379,
  8773, 16999, 182583, 5202, 5874, 127304, 16993, 14116, 187927, 3375, 20370, 44171, 105965, 18978, 61953, 17115,
  51100, 102276, 75811, 7602, 43533, 31235, 7956, 72681, 18083, 5986, 190352, 3671, 8443, 19561, 18603, 95186,
  10180, 31524, 10515, 35607, 43597, 12356, 10299, 174108, 2003, 31154, 62144, 6234, 183999, 16214, 205583, 69997,
  69689, 1386, 87561, 18340, 12216, 23427, 2010, 44232, 129696, 140942, 7349, 4623, 146188, 5101, 86380, 150439,
  62389, 21860, 117536, 12248, 34044, 63481, 85500, 98463, 68410, 7339, 87770, 71963, 12765, 3686, 14919, 2974,
  43273, 7350, 39745, 6266, 26949, 192687, 75021, 968, 266807, 27515, 15493, 5904, 3345, 21226, 90343, 14616,
  34477, 13783, 5111, 69002, 79197, 20455, 25812, 125162, 5688, 23290, 86326, 151802, 47539, 53270, 120925, 57870,
  213110, 15305, 23776, 142238, 21634, 69658, 179702, 13601, 22257, 9455, 35397, 86555, 50092, 17185, 21662, 47115,
  32222, 159490, 66608, 20354, 42346, 75706, 11938, 55979, 39530, 138927, 7527, 13431, 63668, 92125, 206545, 83160,
  98, 105744, 113739, 10666, 134978, 88373, 50980, 17237, 74022, 5974, 44855, 31946, 5152, 17761, 22091, 89954,
  59088, 181724, 89377, 71648, 174145, 6081, 202459, 12825, 37220, 45669, 60029, 47529, 9934, 69759, 92928, 1003,
  9545, 40944, 40882, 123191, 118937, 215977, 4632, 152290, 5724, 38351, 20824, 19010, 87240, 135102, 56782, 135053,
  19875, 30902, 38714, 93406, 15784, 18212, 103460, 25829, 40143, 17780, 5626, 20039, 23263, 66779, 128772, 41751,
  87513, 216438, 5230, 73516, 181654, 37997, 80801, 90214, 285152, 76150, 31873, 8348, 37881, 138317, 50195, 1565,
  263241, 15964, 118491, 28092, 4966, 6035, 45147, 26418, 43934, 84355, 16241, 7487, 10433, 247295, 3172, 8129,
  186657, 57, 71773, 143295, 6470, 101381, 39489, 160086, 74416, 43233, 52957, 51944, 225854, 53358, 11933, 29452,
  25908, 40737, 49314, 60112, 142677, 7636, 42896, 27738, 246262, 17093, 14777, 56250, 32280, 129157, 16346, 76797,
  6192, 34415, 425, 120600, 75890, 191879, 176315, 63506, 45546, 161456, 5005, 46773, 143264, 38320, 150132, 134225,
  135305, 182762, 55889, 102851, 29742, 44842, 129661, 64244, 47013, 53257, 4250, 50419, 77787, 123983, 24915, 12948,
  11732, 36176, 80467, 160621, 126658, 56748, 175875, 78143, 8763, 54016, 205303, 6236, 37950, 84876, 66862, 80427,
  21806, 125486, 21484, 35813, 57557, 14539, 213401, 86192, 113464, 36625, 64405, 27231, 89465, 4451, 75847, 20978,
  108995, 205734, 68217, 94454, 164574, 18012, 255036, 16771, 23894, 158505, 7114, 43317, 22996, 11028, 52204, 124949,
  23169, 226500, 10370, 46407, 15369, 14412, 60558, 218161, 23117, 18847, 313212, 60955, 17642, 82698, 38578, 289214,
  130607, 42162, 81718, 82632, 40503, 951, 48442, 14289, 36239, 91499, 48742, 125633, 280990, 7266, 26286, 77911,
  44666, 7534, 217478, 178981, 9981, 2833, 22818, 156155, 40427, 12913, 72539, 44825, 147487, 28272, 67343, 16061,
  26869, 28878, 13104, 26717, 168452, 222284, 63772, 8001, 32886, 55288, 25367, 12083, 32991, 27965, 29014, 23535,
  46798, 8822, 7448, 101081, 240839, 93683, 48095, 16054, 15111, 14427, 104643, 135450, 70502, 37385, 89619, 135605,
  65697, 66256, 31643, 242955, 88548, 21883, 9676, 103291, 44145, 3863, 31735, 8400, 28701, 1387, 89573, 11921,
  48767, 27191, 47327, 74488, 31139, 34928, 58382, 10630, 206777, 28582, 17378, 118639, 35659, 45393, 41374, 26204,
  181164, 243974, 22596, 109998, 166262, 140883, 75323, 38999, 14554, 45944, 89326, 18593, 171445, 14273, 83848, 7094,
  31786, 136223, 135153, 75926, 66523, 5050, 82214, 24940, 76607, 13068, 103875, 30264, 17956, 28575, 70190, 14699,
  6507, 6918, 148803, 40975, 31279, 13140, 17326, 280841, 90476, 164678, 26191, 29026, 116611, 14717, 6030, 73654,
  167918, 94589, 13531, 31467, 6560, 37936, 764, 2646, 1243, 47040, 46211, 49422, 115324, 23197, 48193, 11038,
  80128, 4014, 18828, 39730, 41867, 964, 138962, 14313, 55897, 4976, 27379, 30682, 187323, 81139, 45324, 19782,
  37069, 15003, 3973, 32623, 32596, 5813, 218135, 46814, 189444, 1329, 15593, 67740, 145931, 8233, 95368, 52092,
  13390, 126973, 24773, 78080, 105530, 127257, 27684, 75829, 65709, 23804, 30679, 23341, 26805, 39433, 72773, 79105,
  6999, 9337, 78288, 91647, 55714, 45624, 31732, 25179, 41300, 62926, 8984, 56532, 22915, 82260, 13175, 111014,
  68951, 8391, 237398, 27237, 22138, 159504, 224263, 75273, 21120, 32545, 81951, 75664, 22264, 44392, 981, 6782,
  10058, 4181, 2250, 85033, 19945, 215931, 9376, 41673, 33635, 15417, 217394, 101669, 56123, 23340, 51752, 11920,
  99085, 5011, 143610, 229235, 10032, 59585, 16698, 27704, 5818, 10883, 13785, 186415, 6016, 52857, 9702, 70336,
  46649, 206034, 15092, 14481, 57476, 8081, 27610, 12151, 35264, 32218, 24641, 138702, 94413, 16922, 15037, 25736,
  112522, 11746, 14172, 11310, 262288, 112160, 142819, 50926, 93686, 24209, 43747, 11953, 83038, 1813, 102643, 324202,
  14341, 3919, 29176, 21127, 23204, 81844, 69984, 61119, 28807, 12474, 58355, 40271, 66084, 21889, 11758, 31845,
  77987, 65881, 45978, 68177, 6101, 28932, 58051, 649, 126673, 52123, 157370, 15105, 7133, 62360, 40724, 9837,
  38126, 27864, 30072, 264757, 5923, 6078, 20776, 4896, 122091, 30718, 48046, 119459, 170240, 303310, 26816, 100117,
  97772, 9974, 81454, 42024, 46874, 11564, 45132, 109732, 215746, 2127, 10903, 7713, 43948, 4937, 28852, 25103,
  41622, 38117, 17887, 60135, 3272, 72498, 31571, 43132, 55596, 108898, 45911, 110563, 8332, 37358, 183144, 1744,
  146411, 106155, 85432, 89589, 251315, 29773, 4572, 57991, 13533, 23984, 36596, 74746, 8561, 47865, 143388, 13408,
  81521, 143096, 93820, 10893, 115449, 113660, 48899, 7902, 48616, 6164, 68386, 80304, 175175, 147319, 43500, 47779,
  2063, 16353, 18616, 12432, 186556, 23124, 95665, 69513, 3036, 14556, 14786, 10437, 134537, 36883, 56269, 63535,
  75772, 100719, 86026, 42447, 29728, 3767, 25145, 40239, 82360, 26124, 91863, 12060, 22973, 30854, 96321, 53650,
  186559, 22801, 8489, 72885, 86348, 51954, 28230, 88192, 89100, 269995, 13885, 51315, 38388, 73083, 25625, 53485,
  82297, 39389, 100926, 72363, 45610, 10521, 13154, 68652, 2613, 44579, 170934, 38080, 87082, 32745, 40511, 28882,
  9986, 23752, 68927, 62035, 177812, 181149, 29031, 11611, 57884, 182442, 8046, 104980, 23591, 100153, 104125, 9117,
  47485, 23873, 2671, 349983, 42543, 328134, 85104, 58966, 33582, 332001, 133483, 9354, 44713, 26316, 6446, 63766,
  74439, 40756, 76029, 97107, 257444, 43586, 84500, 59959, 252451, 55620, 150696, 63676, 31825, 65735, 146929, 23371,
  35631, 35977, 145121, 51984, 38540, 33976, 24513, 207079, 33066, 10465, 7127, 153150, 5147, 36952, 154507, 3865,
  13973, 14200, 52272, 11308, 4343, 15766, 13965, 24679, 51830, 184838, 3348, 86524, 70378, 36337, 84987, 49030,
  22827, 32995, 19326, 2046, 26448, 253830, 60248, 12393, 95560, 44044, 28370, 1662, 36896, 50220, 48315, 80320,
  241741, 43652, 242555, 131179, 48067, 39495, 113599, 13797, 203953, 20287, 78696, 3410, 298860, 46405, 39410, 64369,
  61620, 171971, 71030, 204186, 20450, 29322, 37991, 260572, 3220, 386508, 87523, 9404, 67272, 73458, 10375, 45255,
  6586, 2590, 34096, 4160, 107662, 57683, 97396, 79188, 100160, 35851, 78921, 149875, 108684, 200141, 33908, 53318,
  6929, 19857, 56702, 3398, 57226, 58810, 9304, 20429, 4762, 64257, 64571, 51955, 7457, 60202, 39068, 65191,
  1320, 89495, 11353, 17456, 40404, 104230, 19164, 17854, 77204, 58530, 172392, 75503, 99309, 15916, 157308, 83740,
  62750, 50622, 1879, 15474, 208653, 18824, 11343, 41248, 59977, 127748, 31363, 172064, 44000, 65018, 12188, 41891,
  74315, 17651, 19590, 90710, 34332, 9615, 58267, 127126, 5819, 63902, 44975, 20415, 172217, 26030, 99297, 158027,
  64904, 15382, 45953, 118417, 114077, 18724, 56092, 87313, 18147, 79997, 136198, 62361, 84012, 22885, 9665, 4621,
  1791, 3009, 54017, 91348, 98456, 56262, 72712, 106254, 90930, 42901, 80747, 25508, 21446, 133798, 113357, 6097,
  116669, 1181, 110413, 11032, 103938, 49121, 260341, 161282, 7422, 24145, 56140, 35654, 85140, 174230, 9633, 104905,
  59713, 728, 60193, 191876, 5768, 22655, 5145, 41262, 326211, 147566, 80079, 41245, 16239, 59176, 15547, 123829,
  75411, 13376, 315047, 105840, 13229, 35046, 43694, 56413, 29398, 90069, 53794, 84673, 10758, 107725, 5524, 23780,
  236107, 388309, 62023, 165588, 1539, 46003, 176003, 163955, 112472, 361654, 29424, 49364, 95979, 3700, 306600, 117453,
  152154, 17800, 82564, 14444, 151294, 22058, 29517, 47312, 306, 266768, 196797, 94605, 21196, 107639, 225607, 18057,
  38146, 50176, 69453, 50095, 10700, 216046, 17364, 47494, 6891, 29894, 48715, 14004, 84282, 21694, 7598, 82070,
  109646, 6365, 16302, 27108, 56492, 142883, 77880, 27851, 40539, 187868, 189893, 289432, 6589, 19096, 22176, 166724,
  119491, 38469, 38709, 163079, 51354, 26677, 199471, 115939, 30685, 126480, 79686, 66788, 140209, 95841, 256423, 20274,
  136906, 108937, 4472, 99520, 29622, 157862, 29670, 35606, 73617, 56291, 14416, 1391, 49553, 41902, 66050, 23269,
  70525, 139634, 148637, 11479, 51671, 3128, 65679, 40966, 166869, 116434, 159850, 7654, 139616, 20315, 65982, 116183,
  74395, 50212, 88368, 27581, 37439, 11453, 97247, 212239, 49595, 3922, 25404, 51622, 45678, 120847, 23534, 2190,
  11959, 15866, 21030, 7156, 33211, 32273, 16756, 51864, 86560, 62359, 37272, 150553, 52434, 48096, 52877, 35909,
  9282, 150331, 56064, 3339, 62690, 77469, 38848, 312832, 112155, 50347, 133337, 6119, 130810, 19939, 40188, 198954,
  5243, 178898, 39868, 142856, 108261, 286939, 44549, 159984, 99970, 197697, 81046, 134326, 265613, 8809, 13626, 21584,
  72551, 29643, 102979, 213474, 80049, 198207, 20362, 229516, 6391, 82595, 72275, 12563, 33365, 2420, 161399, 254521,
  90721, 10070, 61781, 32490, 66737, 212773, 229338, 7775, 69872, 54551, 80069, 13914, 87011, 91386, 134664, 33101,
  1860, 15322, 69366, 97910, 9032, 31405, 11616, 221, 112544, 23414, 109925, 66229, 60905, 34215, 18312, 31402,
  37371, 77552, 57720, 2026, 89015, 4380, 50369, 20157, 140351, 42001, 57692, 30433, 19076, 51739, 23715, 62058,
  850, 121732, 145992, 46915, 373531, 25804, 8590, 87747, 2802, 16807, 15221, 116280, 36725, 12360, 34724, 117090,
  218795, 142043, 148440, 65614, 72062, 18466, 55923, 22439, 28990, 58866, 64866, 114538, 16550, 89174, 112318, 27549,
  24614, 155152, 5486, 45048, 7815, 58664, 6423, 11415, 6187, 21207, 67086, 238124, 26336, 2489, 21350, 54052,
  33373, 60539, 51387, 100319, 32162, 11584, 95109, 44016, 42791, 31049, 47206, 52852, 73555, 110693, 7535, 38410,
  32062, 15667, 9670, 65566, 23386, 531, 44985, 2760, 10244, 123017, 50775, 39638, 56392, 170971, 54953, 18366,
  49442, 134359, 57768, 10659, 27076, 77194, 62382, 113419, 136262, 150169, 22322, 207134, 12412, 139797, 55514, 2505,
  14883, 65500, 22972, 15267, 1134, 64278, 37799, 235955, 33675, 43711, 22813, 276041, 97153, 48116, 34495, 6178,
  199281, 32510, 95181, 5794, 15608, 76263, 19924, 230629, 100152, 10562, 76444, 119798, 74072, 219457, 36986, 12066,
  47942, 54591, 35202, 23051, 254301, 155103, 68248, 13470, 36451, 42899, 93606, 121040, 16026, 27968, 10851, 17794,
  10687, 100974, 49021, 10866, 65067, 10018, 39088, 10965, 56708, 897, 11410, 7452, 254030, 47692, 32629, 18771,
  30290, 48037, 43471, 14347, 50490, 66808, 37049, 49968, 13864, 83559, 25801, 3591, 57941, 75692, 173303, 61385,
  259331, 1969, 57685, 2094, 35588, 6233, 27697, 16717, 23485, 26772, 4734, 15135, 43486, 85019, 26988, 179071,
  24869, 25026, 9295, 27083, 21620, 11383, 45847, 134822, 92971, 19856, 42005, 31000, 22072, 2896, 21798, 125082,
  88645, 561, 47297, 28868, 1048, 75739, 25425, 197147, 182050, 124782, 126886, 12162, 13343, 152665, 53046, 7557,
  32452, 9893, 110355, 9538, 14825, 62686, 7879, 104424, 19509, 31568, 4996, 5559, 3325, 22164, 66618, 2476,
  216938, 38862, 52182, 79198, 45740, 52776, 32070, 132672, 99716, 19543, 5515, 40777, 189082, 6051, 3103, 146615,
  53740, 256827, 80531, 104166, 78245, 34550, 28933, 112044, 25609, 72638, 36640, 25629, 24311, 56326, 11524, 83163,
  176777, 23393, 82414, 6106, 47340, 19377, 61707, 10698, 308354, 82475, 8066, 15310, 40669, 62347, 33738, 15955,
  66085, 140789, 4852, 37500, 14102, 5845, 9813, 54656, 125339, 67825, 97677, 67735, 9225, 11506, 173536, 159289,
  128709, 12613, 20379, 46259, 97207, 42699, 91068, 45947, 1271, 211146, 104284, 55003, 200933, 14250, 55082, 49995,
  78439, 185897, 62876, 11600, 113451, 32229, 199030, 36486, 88975, 65343, 140167, 135960, 18324, 638, 86929, 96115,
  46521, 34134, 437, 7115, 11819, 80629, 96102, 12424, 18570, 81183, 15089, 30525, 141756, 201210, 66036, 47056,
  72512, 98759, 18003, 68671, 170020, 14775, 7872, 86707, 52754, 279230, 82966, 13276, 63550, 101747, 103537, 30259,
  118515, 110652, 15079, 51435, 103073, 104977, 76964, 5981, 93330, 91388, 21050, 56718, 32736, 2464, 36579, 80299,
  50499, 49852, 67313, 130037, 14722, 2418, 7783, 76521, 31600, 78508, 133834, 49167, 68452, 47680, 2363, 25459,
  398867, 67795, 165159, 68999, 29316, 33111, 23239, 12957, 172786, 66330, 3816, 4414, 18417, 12030, 30134, 7919,
  104924, 9960, 36133, 26144, 2606, 105224, 32252, 42036, 5670, 72687, 493, 78524, 84818, 34715, 26322, 28439,
  16288, 21908, 74255, 9962, 67106, 147542, 139191, 43764, 59580, 72920, 393509, 63136, 82929, 53980, 78657, 4543,
  607401, 11665, 318088, 11366, 291, 7537, 212378, 77254, 85829, 59252, 37336, 13232, 359, 43117, 65592, 71269,
  15897, 112396, 53939, 40125, 35830, 56176, 59326, 11017, 50696, 114234, 276483, 22837, 65630, 17802, 22227, 18232,
  52672, 51170, 100713, 92360, 22115, 91842, 43063, 195957, 356968, 3794, 166425, 56044, 29895, 163395, 11168, 56699,
  40837, 67702, 27339, 20360, 231192, 89936, 103744, 1998, 34024, 32020, 3803, 117654, 38957, 94943, 70290, 85606,
  26722, 43088, 170484, 36210, 406, 282841, 54770, 175134, 23335, 44094, 73528, 47037, 124952, 31360, 23208, 78534,
  72068, 123285, 11398, 40458, 68804, 30009, 6939, 3499, 13268, 40221, 12223, 61566, 147101, 333845, 73905, 2372,
  164740, 293468, 55614, 327574, 276569, 59394, 21940, 154180, 162596, 28918, 37039, 166169, 66943, 84556, 40144, 10616,
  11569, 25337, 104847, 48420, 26654, 76526, 228642, 20116, 66358, 44381, 25600, 2578, 4777, 70479, 5757, 64766,
  23229, 11688, 27998, 24560, 102127, 6006, 130766, 11689, 5848, 24290, 203474, 51926, 978, 76149, 170663, 68953,
  2921, 5461, 117041, 24360, 59666, 1098, 64926, 198078, 5371, 1164, 166512, 13456, 28212, 22987, 95713, 13302,
  90108, 31433, 120078, 63947, 42938, 68482, 38260, 42265, 39320, 109797, 110494, 79743, 2499, 2553, 58577, 180281,
  4271, 259624, 94417, 68375, 108792, 50431, 9717, 29255, 33510, 160264, 7272, 343301, 125072, 154624, 6168, 27338,
  71653, 51148, 140929, 51394, 65239, 109678, 179395, 7761, 38250, 81439, 23490, 79048, 66357, 53948, 107018, 28855,
  38577, 94122, 43589, 44430, 13964, 103761, 2708, 12411, 86251, 119198, 17302, 51623, 35708, 305, 95393, 8798,
  50755, 41461, 203637, 19736, 36010, 8599, 54546, 13603, 29448, 118755, 50260, 10357, 12209, 86678, 39594, 88467,
  3844, 173096, 17788, 39975, 38222, 14809, 54370, 53581, 206337, 67848, 23694, 2309, 100876, 41983, 276960, 18075,
  67827, 14170, 117970, 89349, 137088, 75893, 70548, 20757, 14167, 10804, 5959, 67463, 252225, 44451, 87528, 36335,
  84163, 175996, 66912, 69227, 195270, 25238, 167523, 96366, 1306, 7967, 27706, 52700, 5703, 285, 51677, 60197,
  54198, 170697, 20548, 18244, 779, 4822, 39984, 71212, 46802, 72502, 31290, 74896, 22028, 154697, 58236, 131173,
  51124, 252252, 64234, 48608, 86759, 36236, 13170, 143379, 70560, 101041, 195793, 70671, 113164, 99377, 70248, 34118,
  35685, 116394, 50149, 302730, 162145, 121592, 530, 30881, 45471, 162432, 6235, 49645, 34561, 40287, 58509, 43757,
  422, 70918, 113036, 190344, 2611, 233661, 162936, 32114, 6464, 94933, 54217, 64327, 47486, 871, 90931, 33404,
  19223, 20183, 3928, 34508, 38246, 36359, 11459, 66339, 9191, 90968, 122115, 45027, 18331, 84569, 82055, 106565,
  89942, 52285, 40019, 20438, 243642, 100401, 166242, 127119, 212364, 42312, 34711, 1671, 15893, 23179, 5020, 74061,
  17518, 110465, 11940, 3873, 22617, 123195, 18144, 100726, 6409, 91356, 45936, 73471, 30046, 108852, 212969, 66765,
  126182, 98830, 107226, 23993, 59716, 48049, 45651, 82888, 36560, 16256, 52004, 17296, 104428, 12933, 38645, 135609,
  18846, 26099, 40801, 56830, 26592, 992, 156526, 79480, 19458, 91618, 39463, 7988, 50793, 54675, 156601, 19881,
  147333, 1159, 50024, 77736, 30826, 64647, 13710, 115978, 1388, 51510, 5276, 207487, 27647, 59310, 5123, 271841,
  10922, 2382, 11425, 17267, 14495, 244507, 2126, 492, 33545, 12138, 8818, 184454, 19269, 134769, 8528, 57017,
  135828, 73552, 22221, 65808, 39727, 367870, 203492, 24483, 41601, 196988, 198, 55446, 46931, 68675, 244761, 5411,
  233379, 19207, 36423, 316277, 49169, 745, 204311, 317017, 131130, 150130, 101903, 260111, 182112, 30434, 25375, 59274,
  16276, 109977, 54255, 20999, 82381, 135770, 2885, 31724, 118209, 21645, 119343, 36886, 142445, 81249, 42421, 43503,
  128310, 66260, 92555, 94890, 19672, 1769, 178045, 35419, 28740, 2136, 226543, 24030, 82907, 124857, 54353, 157870,
  33436, 38109, 85642, 96673, 3118, 112407, 1944, 31498, 102206, 135319, 205619, 160787, 28723, 91910, 50034, 79540,
  24819, 28372, 80113, 173951, 41937, 15370, 19059, 55603, 38854, 100638, 70561, 519, 5157, 19218, 16617, 91793,
  3881, 75012, 176191, 145596, 111491, 20452, 154738, 27981, 1142, 2054, 22256, 54130, 9776, 19737, 32399, 69945,
  421673, 103058, 91031, 7281, 152241, 74595, 46116, 86993, 29309, 22846, 33982, 54529, 14961, 41775, 23014, 131668,
  87854, 171036, 94711, 50319, 6054, 72531, 3482, 3581, 15424, 83151, 45387, 66155, 3796, 118067, 32026, 181774,
  82656, 49811, 12569, 44671, 54996, 83240, 157346, 143069, 2108, 19813, 11164, 42601, 55367, 1359, 101577, 27699,
  239450, 9023, 33206, 152235, 154525, 73472, 7296, 55929, 9643, 80206, 87554, 68722, 118103, 89632, 161537, 59640,
  106041, 77231, 63719, 12373, 64601, 98305, 1056, 46674, 68549, 18960, 17748, 19013, 48707, 296146, 134285, 64092,
  30266, 15379, 85084, 87899, 25772, 62788, 25525, 31250, 18740, 80665, 23101, 34025, 9462, 7075, 49746, 39284,
  229669, 57834, 2626, 248569, 91798, 873, 22206, 84442, 112152, 160148, 59240, 6711, 191327, 15256, 141511, 171566,
  14493, 68797, 15010, 17086, 72828, 164513, 36088, 32054, 8175, 11054, 81290, 64307, 66636, 51647, 21137, 68255,
  236474, 72999, 12123, 66901, 25817, 58290, 23813, 41818, 87351, 51685, 349139, 15386, 129027, 92193, 14750, 7028,
  76653, 56861, 59524, 43395, 20422, 123741, 40958, 19478, 22983, 87931, 5921, 15341, 71240, 18213, 18961, 25648,
  27846, 61261, 75568, 216919, 44661, 12442, 49311, 68342, 12399, 74324, 7455, 42754, 46158, 66251, 405, 72411,
  77704, 58295, 15625, 4552, 53101, 50537, 30941, 37141, 35032, 18292, 98289, 17870, 11072, 115848, 60108, 70972,
  17300, 13269, 63524, 140693, 109294, 93883, 56701, 69184, 33638, 4485, 36667, 26721, 24408, 5954, 28290, 80247,
  1895, 82128, 40307, 96015, 11241, 5825, 45230, 255638, 760, 31698, 12512, 26145, 17584, 92444, 8948, 17954,
  82479, 9085, 5850, 120208, 125877, 9751, 11265, 22102, 63150, 153550, 69826, 75885, 141075, 131001, 14419, 128804,
  34259, 129918, 115229, 23808, 23274, 3580, 82265, 18942, 81698, 8545, 39913, 79933, 15732, 6741, 38339, 39271,
  43577, 31006, 30604, 53478, 48340, 102062, 39630, 12695, 91584, 222, 20589, 89230, 14688, 30824, 97582, 47266,
  16379, 99608, 42679, 70464, 24481, 4475, 80121, 49522, 150280, 121584, 178585, 20071, 96420, 5695, 31648, 64033,
  262050, 20662, 107571, 34749, 48635, 192388, 60052, 163993, 43727, 40545, 72642, 99324, 61819, 17935, 20846, 61496,
  56268, 69226, 133071, 52853, 72003, 57628, 110499, 29460, 88178, 40245, 24970, 58958, 17281, 21360, 121825, 31853,
  79912, 81792, 201844, 95444, 13218, 256154, 26236, 61260, 122519, 90685, 37984, 5119, 125295, 126359, 310134, 54407,
  166396, 6520, 28971, 31149, 11811, 266489, 27120, 1794, 2171, 23105, 744, 2814, 118930, 46693, 140092, 4993,
  67746, 27308, 66270, 97039, 17636, 6061, 69135, 4202, 178278, 7472, 32642, 40673, 174656, 26758, 204108, 44815,
  95661, 95589, 192828, 73663, 173039, 77882, 43232, 71654, 83845, 55846, 26313, 21216, 79689, 31469, 85659, 11793,
  17473, 17000, 64471, 78858, 98555, 104223, 20905, 121028, 127696, 15679, 22246, 93167, 203415, 40670, 1525, 47197,
  54730, 29955, 27650, 142614, 22925, 38365, 107626, 61283, 232239, 25514, 194946, 12768, 9309, 63949, 114873, 57567,
  12136, 30868, 3548, 537341, 175026, 133711, 27455, 27667, 20740, 32351, 1997, 26211, 180188, 35259, 10358, 54362,
  10747, 42370, 12304, 6425, 39816, 22704, 99010, 215128, 314017, 17879, 58536, 20732, 266131, 43327, 1650, 27592,
  10040, 89403, 28410, 125002, 175732, 21475, 13832, 98954, 112550, 155503, 53781, 62057, 220651, 63490, 218647, 26496,
  31974, 28320, 13557, 72935, 37393, 40244, 102949, 25746, 888, 15552, 12165, 23782, 23008, 37306, 182690, 178294,
  86799, 19876, 69717, 10583, 4303, 116880, 7218, 92683, 64905, 100026, 340736, 142052, 148467, 8925, 2702, 63925,
  75337, 81983, 220124, 89751, 251, 226035, 14097, 1808, 3284, 142418, 16036, 72819, 370102, 13289, 144922, 3996,
  50264, 199033, 45199, 139880, 9835, 4702, 60405, 74816, 5438, 7368, 27687, 162954, 23655, 159039, 21280, 61851,
  4481, 92865, 109762, 3285, 29851, 3021, 104939, 2905, 329, 63385, 22681, 52094, 12855, 38488, 18381, 19211,
  7162, 61266, 8835, 22825, 64931, 45593, 66502, 25309, 78141, 46199, 59413, 50610, 12804, 59952, 186517, 61018,
  42372, 46728, 18388, 90815, 296771, 59091, 46636, 192289, 83547, 3423, 29852, 2745, 18624, 16583, 357641, 32404,
  34874, 30511, 86377, 868, 86271, 59760, 81404, 39749, 3360, 74207, 15394, 156217, 48665, 41137, 72366, 52831,
  77735, 59042, 22515, 6142, 88767, 22116, 68286, 40920, 11463, 78197, 68958, 24062, 63527, 100286, 139882, 65777,
  28889, 12481, 28953, 8266, 22258, 3319, 99181, 17609, 29140, 179534, 30832, 42841, 194315, 120705, 27548, 161124,
  113924, 42548, 41864, 56260, 25499, 42783, 177062, 105955, 6406, 14311, 23992, 86657, 31334, 225197, 24185, 39921,
  1845, 104026, 301294, 95718, 4802, 8899, 157667, 77564, 49184, 6115, 80340, 47518, 43455, 6339, 54561, 39882,
  35469, 115497, 123233, 68548, 127594, 20262, 97680, 60841, 92970, 5781, 28954, 4558, 61038, 45382, 35089, 49876,
  115005, 15489, 27010, 91676, 38840, 12352, 20606, 19800, 87761, 12264, 9268, 146639, 106838, 47766, 91230, 8234,
  8811, 48534, 107720, 27259, 20572, 34400, 108143, 52933, 55637, 28872, 61739, 77203, 11162, 21038, 66975, 30423,
  96721, 31993, 45541, 7376, 132425, 71889, 178420, 446221, 108925, 260438, 102283, 4056, 2948, 77259, 83943, 38199,
  125457, 36830, 123208, 391, 36356, 138390, 99456, 92051, 3502, 239674, 36201, 114068, 75270, 3160, 39536, 218269,
  27622, 12173, 56780, 8501, 127192, 66434, 47097, 13635, 2561, 98519, 73258, 96646, 123095, 5710, 42788, 66384,
  49394, 12035, 7389, 23253, 61155, 251141, 4195, 439, 16897, 56354, 25580, 66462, 110064, 188570, 17260, 12827,
  9699, 13844, 208611, 7653, 89448, 41275, 5078, 37917, 53356, 45195, 15877, 74097, 19628, 231041, 21225, 15175,
  220310, 3514, 79626, 97496, 21622, 20434, 48926, 95346, 83036, 47481, 10584, 14331, 9885, 4023, 29396, 21139,
  112214, 87100, 83793, 9796, 6087, 423, 60612, 11748, 26713, 29951, 132442, 40260, 17901, 55713, 5620, 88019,
  161912, 177970, 3729, 49808, 91492, 35869, 138357, 40508, 3440, 61216, 56765, 68562, 68594, 2747, 88777, 43463,
  9266, 44125, 1567, 2354, 92238, 29774, 47207, 47789, 8087, 20375, 191924, 3415, 6866, 22316, 82861, 233038,
  150194, 13698, 143688, 29411, 72175, 16465, 14358, 220015, 80701, 53366, 59020, 22661, 13459, 20745, 8739, 76074,
  31836, 46743, 45518, 51271, 43243, 19787, 114669, 18136, 239700, 15692, 105609, 60536, 95846, 27460, 7762, 225232,
  44749, 11206, 14819, 1690, 50647, 170657, 224611, 139596, 21945, 134017, 15972, 174955, 230538, 2804, 25876, 121127,
  120612, 18921, 14091, 435, 132371, 178953, 144326, 158152, 244604, 220898, 21478, 121856, 5193, 4031, 105823, 11008,
  105637, 134379, 253591, 97747, 34661, 247232, 20987, 6949, 41341, 106816, 110210, 45958, 68775, 150399, 11104, 93886,
  85393, 28015, 147749, 112829, 1874, 19994, 21402, 16367, 8771, 33037, 11041, 96701, 33718, 36354, 26705, 23369,
  49672, 29673, 72422, 32419, 77403, 36496, 28454, 23255, 595452, 242129, 61562, 58092, 99507, 41978, 40275, 32822,
  6490, 1688, 175006, 8864, 58895, 13716, 45499, 120546, 128742, 24764, 141091, 121483, 7704, 83412, 14149, 58968,
  39239, 165272, 32855, 72184, 73217, 52628, 13081, 73279, 43816, 9383, 216195, 56823, 62824, 48448, 191659, 3540,
  37804, 223316, 171995, 17606, 199976, 21733, 141024, 23939, 22361, 42786, 77686, 3523, 80005, 1542, 22284, 32365,
  87514, 43833, 4665, 93155, 94832, 32683, 134693, 9494, 14089, 54921, 16128, 131782, 4574, 168587, 76247, 7989,
  139975, 821, 8368, 108503, 59142, 158797, 137, 205170, 75523, 18074, 13682, 91077, 100268, 65492, 54879, 15629,
  43906, 38056, 45569, 40180, 53442, 24989, 20763, 24867, 15152, 30094, 129619, 140074, 2547, 23241, 27435, 7171,
  186002, 4003, 5665, 192737, 17011, 57494, 230276, 241405, 19513, 27773, 95035, 92634, 204282, 5213, 32107, 87507,
  3343, 10550, 3806, 71001, 60568, 10837, 23329, 144168, 128318, 1900, 47551, 4240, 119250, 50444, 64351, 85851,
  4298, 169567, 1401, 13814, 51871, 3524, 75657, 25885, 41336, 136110, 12759, 77034, 71759, 22871, 604, 13904,
  21921, 84968, 84920, 208954, 45074, 13960, 4204, 102255, 98169, 58850, 58448, 58879, 145889, 22357, 8919, 58428,
  99427, 13803, 157733, 68068, 11350, 61811, 360594, 118202, 1237, 824, 163104, 118356, 5520, 769, 31581, 20685,
  28799, 181670, 40637, 38360, 7803, 8532, 69133, 37235, 53702, 86519, 85294, 62552, 21026, 8827, 142049, 30386,
  136352, 11344, 158995, 19682, 38293, 242831, 103750, 55804, 128690, 108982, 27181, 18409, 12158, 167408, 120214, 132169,
  90132, 134213, 7909, 28749, 44600, 10115, 55121, 16581, 10184, 82321, 25270, 21542, 26957, 2707, 106897, 145041,
  39459, 145473, 48977, 26927, 126025, 157588, 249490, 64382, 78904, 11519, 1284, 9871, 82999, 78364, 173378, 109477,
  59373, 50500, 2168, 30838, 39301, 154212, 66143, 91333, 150198, 28707, 45440, 20859, 120529, 33550, 21869, 80014,
  153042, 19905, 153475, 81658, 20177, 158807, 120156, 38566, 50089, 6373, 63762, 19510, 14764, 26971, 108976, 72526,
  271571, 84066, 18309, 66438, 30530, 98093, 65740, 53411, 123161, 23236, 24050, 64130, 38975, 177329, 37078, 133183,
  101562, 89382, 51844, 19732, 22941, 26188, 51520, 22735, 5648, 43118, 130081, 12788, 124654, 200339, 25097, 48211,
  109243, 196680, 216387, 69966, 69817, 55482, 6031, 5293, 71675, 18384, 137078, 73066, 49162, 68808, 11413, 25901,
  106884, 643, 4412, 18355, 21241, 36413, 7382, 16629, 107795, 6893, 5332, 242, 30258, 49533, 74544, 39490,
  16572, 4199, 12724, 122748, 188262, 108611, 126989, 88570, 141456, 72114, 87870, 20276, 7688, 37800, 22712, 59241,
  60718, 170557, 299711, 3515, 8271, 16537, 107094, 81327, 11044, 299399, 71715, 154123, 32440, 16413, 169052, 42581,
  104608, 33812, 5696, 16661, 103419, 161, 39832, 179084, 236109, 71375, 67676, 75508, 93156, 21777, 80970, 58192,
  43293, 31757, 51423, 41531, 128929, 182898, 12880, 113231, 42107, 61632, 45914, 4884, 67180, 4744, 128700, 2781,
  25201, 36266, 194380, 87971, 115254, 341, 41014, 57871, 185488, 92043, 17835, 89050, 130954, 19517, 84683, 21380,
  72813, 45915, 93851, 203411, 167547, 176973, 63085, 59916, 20537, 17002, 36711, 31276, 39969, 36726, 65357, 13243,
  38432, 15644, 94063, 10719, 22582, 47135, 16038, 5381, 184022, 23165, 76012, 35198, 1139, 18638, 45545, 84452,
  27199, 192134, 119684, 123811, 5655, 13706, 141932, 24822, 17767, 37181, 5142, 34476, 97412, 225589, 175180, 68777,
  122606, 11285, 10611, 55686, 209377, 100096, 22340, 26689, 27070, 51760, 149649, 30372, 35871, 50512, 21058, 17439,
  326617, 170142, 107982, 135181, 188954, 85308, 56136, 9593, 42680, 26872, 58659, 5746, 73512, 25617, 2549, 48114,
  80911, 1733, 156604, 26196, 22629, 16115, 47515, 69763, 3011, 81888, 4772, 72580, 95021, 23422, 61841, 69210,
  315242, 20699, 13055, 19951, 157737, 52563, 31431, 59838, 383, 35462, 55449, 68880, 41821, 63984, 213573, 50441,
  41808, 53480, 40494, 130778, 19335, 64598, 138641, 25152, 27950, 8191, 57199, 35528, 15674, 204275, 70906, 3181,
  25677, 26876, 2717, 132658, 110950, 49839, 49173, 20862, 35375, 20135, 50308, 213100, 76835, 103314, 64615, 7399,
  59108, 22329, 92119, 34649, 57370, 20920, 11016, 129444, 35262, 68761, 92220, 17938, 16569, 14039, 59057, 72434,
  160415, 16248, 7148, 40010, 37706, 58080, 149680, 137070, 78086, 105307, 67671, 478, 32041, 27870, 179796, 13035,
  49691, 26716, 81195, 147295, 137143, 13139, 168200, 45495, 9782, 24335, 30927, 557, 172080, 226060, 57625, 14169,
  50148, 53124, 40398, 22321, 77917, 74830, 6334, 70846, 6323, 77024, 9517, 93307, 10110, 13831, 4136, 54992,
  69172, 15584, 33047, 77148, 17711, 31085, 33621, 126215, 21795, 114268, 35065, 145060, 59511, 11859, 154026, 131303,
  76184, 102024, 58089, 66420, 135114, 32471, 26586, 9983, 31046, 232116, 194394, 99288, 132319, 610, 10459, 98229,
  59105, 34807, 29993, 22965, 157578, 4107, 28141, 140655, 20549, 7101, 7846, 55412, 80778, 17135, 7430, 73220,
  57649, 27939, 10941, 92844, 158421, 173174, 64726, 12726, 65143, 202755, 176021, 57189, 4575, 7195, 177904, 25156,
  72235, 146111, 11686, 22007, 21899, 135284, 138978, 752, 10797, 65724, 5168, 151662, 92745, 109290, 75372, 160210,
  34035, 17369, 97529, 60335, 106079, 2306, 2423, 4131, 80159, 158934, 136359, 59711, 4508, 40343, 250673, 65860,
  78304, 17795, 104032, 148124, 25350, 58256, 33525, 20642, 75457, 81761, 183350, 24569, 46458, 63924, 58666, 8047,
  32937, 81997, 33987, 7245, 25623, 17931, 5112, 122123, 47, 80630, 79317, 15250, 8531, 7845, 42854, 87493,
  104751, 31479, 59823, 168974, 84953, 28434, 95840, 86398, 8138, 40995, 4860, 26024, 36508, 101200, 49636, 8174,
  187199, 50053, 89152, 20854, 66310, 61067, 8004, 30413, 115274, 278866, 106773, 120445, 13253, 40328, 1516, 70360,
  32461, 1703, 301530, 572, 38536, 75536, 423620, 18713, 1916, 3143, 70650, 60724, 42007, 14851, 262515, 136679,
  187160, 70985, 131034, 54573, 35055, 14435, 225137, 23005, 26325, 174156, 20786, 195824, 84394, 19162, 85376, 70194,
  35963, 49566, 21279, 91399, 94216, 64873, 68891, 55512, 45590, 3382, 26979, 72069, 97782, 126859, 187860, 246200
]
