L=10000000;
N=50000;
M=2000;
D=[186,358,529,659,839,903,928,1004,1018,1197,1360,1488,1583,1744,1918,1969,2102,2294,2331,2452,2590,2602,2672,2679,2706,2831,2926,3118,3304,3466,3545,3656,3853,3978,3986,4031,4149,4220,4227,4411,4549,4703,4842,4909,4992,5034,5228,5280,5348,5403,5427,5587,5762,5925,6025,6036,6129,6264,6441,6455,6590,6634,6641,6642,6741,6890,6996,7071,7192,7236,7288,7409,7516,7562,7681,7878,7895,8032,8060,8167,8271,8421,8562,8724,8905,8911,9059,9174,9185,9195,9285,9334,9488,9687,9795,9847,9887,10030,10066,10198,10283,10471,10607,10661,10668,10742,10914,11090,11259,11439,11554,11736,11879,12016,12121,12137,12238,12323,12506,12655,12792,12803,12976,13176,13276,13279,13478,13619,13759,13860,13863,13903,14083,14122,14220,14286,14376,14520,14637,14665,14776,14963,15026,15106,15216,15353,15464,15658,15836,15946,16038,16227,16234,16285,16323,16432,16521,16582,16749,16917,17056,17186,17323,17349,17429,17488,17537,17684,17864,18043,18136,18258,18436,18528,18688,18727,18883,18950,18960,19025,19141,19308,19455,19615,19665,19750,19847,19935,19975,20011,20206,20225,20284,20430,20552,20585,20764,20876,21075,21256,21377,21462,21647,21809,21823,21941,22091,22226,22424,22519,22630,22740,22850,22970,23061,23080,23176,23181,23198,23360,23373,23381,23577,23682,23852,23859,23958,24068,24258,24429,24528,24718,24894,24920,24956,25098,25110,25197,25333,25459,25629,25679,25864,25986,26067,26187,26280,26450,26575,26667,26829,26832,26840,26879,26921,27008,27030,27113,27256,27354,27438,27474,27605,27694,27876,27905,27971,28009,28134,28189,28332,28388,28409,28479,28539,28711,28879,28907,29084,29222,29295,29477,29565,29690,29878,30061,30225,30268,30448,30537,30659,30816,30958,31063,31072,31259,31348,31515,31658,31844,31880,31972,32014,32151,32197,32291,32295,32310,32465,32621,32722,32778,32883,32984,32999,33192,33283,33483,33588,33773,33792,33981,34141,34287,34316,34350,34513,34515,34562,34574,34597,34706,34789,34842,34938,34953,34971,35031,35107,35238,35363,35442,35579,35596,35734,35811,35813,35883,35944,36032,36130,36136,36256,36400,36515,36594,36718,36739,36853,36879,37060,37075,37103,37140,37222,37326,37432,37582,37693,37808,37968,38056,38200,38355,38426,38515,38582,38693,38778,38872,38909,39075,39178,39304,39432,39454,39511,39613,39697,39705,39783,39934,40000,40154,40310,40347,40518,40715,40858,41021,41032,41158,41226,41417,41509,41572,41632,41789,41877,41948,42032,42130,42159,42344,42350,42429,42576,42753,42950,42990,43149,43239,43252,43404,43534,43574,43575,43580,43726,43727,43758,43905,43924,44100,44136,44306,44470,44504,44649,44699,44892,44956,44991,45033,45095,45159,45320,45517,45713,45813,46007,46108,46267,46326,46486,46661,46857,46940,47116,47257,47399,47516,47646,47704,47885,47952,48100,48252,48326,48376,48534,48571,48645,48808,48853,49004,49118,49206,49396,49417,49579,49757,49842,50025,50175,50304,50479,50617,50735,50767,50844,51043,51173,51243,51250,51416,51535,51682,51880,52027,52123,52298,52372,52406,52527,52604,52707,52876,52879,53049,53062,53201,53205,53307,53395,53416,53532,53662,53855,53893,53985,54120,54282,54412,54508,54632,54767,54777,54912,55001,55097,55148,55306,55449,55647,55758,55891,56002,56061,56184,56203,56270,56333,56466,56599,56745,56834,57003,57184,57198,57284,57300,57402,57430,57474,57571,57749,57825,57993,58013,58055,58184,58252,58317,58428,58460,58620,58787,58869,58873,59015,59098,59204,59367,59553,59751,59916,60005,60103,60115,60116,60151,60260,60352,60353,60420,60594,60757,60949,61076,61231,61288,61430,61548,61683,61825,61982,62160,62250,62362,62537,62737,62820,62919,62955,63083,63146,63183,63224,63349,63412,63505,63620,63652,63812,63899,63909,64081,64150,64240,64390,64544,64688,64692,64709,64711,64827,64918,64992,65107,65300,65314,65364,65425,65551,65555,65733,65790,65868,66041,66144,66331,66376,66535,66643,66718,66730,66872,66935,67035,67111,67141,67217,67358,67468,67592,67753,67912,68015,68023,68109,68120,68207,68349,68468,68497,68516,68611,68704,68884,68921,68957,68961,69148,69338,69483,69562,69566,69633,69750,69860,69993,70064,70199,70300,70457,70494,70578,70749,70847,70867,71001,71053,71212,71334,71388,71529,71556,71698,71822,71974,72039,72044,72161,72264,72330,72489,72670,72697,72738,72854,72864,72877,73063,73096,73127,73241,73267,73271,73425,73455,73554,73656,73782,73924,74035,74103,74104,74242,74421,74568,74588,74783,74950,74964,74971,75120,75266,75341,75496,75629,75638,75812,75916,76005,76066,76144,76327,76355,76414,76603,76789,76947,77035,77156,77244,77394,77523,77541,77729,77868,78034,78206,78277,78455,78610,78769,78853,78856,78909,78947,79031,79084,79223,79344,79454,79559,79633,79668,79755,79762,79913,79958,80119,80137,80297,80330,80487,80555,80583,80765,80834,81001,81081,81103,81206,81259,81424,81609,81773,81909,82035,82072,82208,82212,82289,82414,82589,82662,82704,82890,83001,83100,83271,83356,83456,83528,83529,83707,83794,83957,84067,84226,84401,84547,84607,84756,84848,85022,85050,85236,85373,85486,85647,85792,85977,86047,86101,86135,86199,86263,86344,86503,86512,86586,86746,86935,87110,87178,87278,8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