n=100000;
m=100000;
r=[6,11,39,39,40,40,48,59,73,77,85,88,11761965,11761965,11761969,11761970,11762014,11762049,11762049,11762049,11762051,11762055,11762055,11762076,146668177,146668180,146668181,146668197,146668200,146668205,146668210,146668210,146668211,146668213,146668306,146668315,146668320,146668324,146668337,146668337,146668338,146668341,146668353,146668695,146669084,146669084,146669091,146669100,146669103,146669105,146669105,146669108,146669108,146669110,146669114,146669130,146669138,146669141,146669408,146669408,146669625,146669628,146669630,146669711,146669713,146669719,146669721,146669745,146669776,146669778,146669858,146669859,146669859,146669881,146670218,146670218,146670218,146670692,146670695,146670696,146670724,146670731,146670739,146670743,146670773,146671040,146671046,146671051,146671128,146671133,146671134,146671313,146671623,146671627,146671628,146671652,146671652,146671653,146671653,146671658,146671692,146671694,146671707,146671773,146671774,146671785,146671794,146671811,146671811,146671824,146671824,146671843,146671852,146671969,146671969,146671972,146672190,146672310,146672312,146672323,146672372,146672375,146672425,176043332,176043336,176043345,176043360,176043414,176043417,176043418,176043425,176043431,176043497,176043497,176043541,176043544,176043546,176043575,176043587,176043593,176043600,176043601,176043601,176044364,176044365,176044370,176044431,176044450,176044461,176044820,176044829,176044834,176044835,176044835,176044838,176044838,176044839,176044840,176044842,176044848,176044849,176044850,176044852,176044859,197223579,197224022,197224037,197224040,197224045,197224082,197224325,197224395,197224452,198175843,198175845,198176218,198176221,198176221,198176227,198176228,198176230,198176231,198176233,198176381,198176381,198176384,198176384,198176391,198176400,198176407,198176427,198176430,202458154,202458169,202458174,202458180,202458195,202901859,202901859,202901859,202901869,202901872,202901883,202901885,202901889,202901891,202901895,202901958,202901960,202902870,202902872,202902872,202902873,202902873,202902889,202902903,202902905,202902907,202902912,202902921,202902925,202902928,202902930,202902938,202902940,202902941,202902958,202902963,202902972,202902974,202902982,380775150,380775180,380775185,380775192,380775196,380775199,380775199,380775207,380775210,380775211,380775214,380775231,380775235,380775235,380775236,380775319,380775416,380775424,380775428,380775429,380775483,380775493,380775494,380775510,380775512,380775513,380775547,380775553,380775557,380775557,380775558,380775564,380775604,380775666,380775674,380775754,380775757,380775764,380775765,380775766,380775768,380775793,380775833,380775839,380775863,380775875,380775875,380775876,380775878,380775882,380775882,380775886,380775907,380775930,380775932,380776026,380776026,380776453,380776453,380776455,380776470,380806070,541324033,541324033,541324259,541324359,541324386,541324422,541324864,541324864,541324878,541324919,541324921,541324924,541324924,541324988,541324995,541324995,541324995,541325001,541325015,541325023,541325032,541325034,541325034,541325043,541325044,541325074,541325074,541325163,541325168,541325179,541325186,541325186,541325186,541325187,541325196,541328442,541328443,541328449,541328450,541328455,541328458,541328458,541328459,541328459,541328465,541328467,541328507,541328507,541328509,541328518,541328522,541328524,541328524,541328534,541328536,541328540,541328542,541328552,541339950,541339951,541339969,541339974,541339979,541339979,541340012,541340012,541340012,541340018,541340025,541340029,541340032,541340034,541340034,541340041,541340123,541340125,541340125,541341167,541341172,541341174,541341210,541341211,541341227,541341233,541341236,541341243,544697794,544697802,544697876,544697876,544697930,544697930,544697933,544697941,544697942,544697949,544697951,544697974,544697987,544697989,544698092,544698098,544698098,544698120,544698138,544698139,544698141,544698142,544698340,544698376,544698486,544698490,544698492,544698500,544698534,544698543,544698599,544698609,544698609,544698617,544698687,544698713,544698713,544699909,544699948,544699952,544700295,544700326,544700330,544700338,544792002,544792002,544792002,544792005,544792066,544792069,544792120,544792138,544792140,544792144,544792147,544792153,544792156,544792168,544792168,544792171,544792175,544792175,544792184,544792220,544792225,544792227,544792245,544792245,544792247,709015491,709015491,709015492,709015495,709015512,709015512,709015562,709015568,709015570,709015712,709015724,709015728,709015729,709015810,709015817,709015841,709015873,709015875,709016269,709017164,709017209,709017353,709017393,709017397,709017398,709089790,709089792,709089793,709089795,784166914,784166927,784166938,784166949,784166950,784166951,784166962,784167178,784167182,785198587,785198589,785198611,785198613,785198613,785198622,785198627,785198629,773436779,773436782,773436786,773436786,773436800,773437446,773437446,773437447,773437482,773437492,773437501,773437501,773437513,773437518,837720893,8377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