n=100000;
m=100000;
r=[13,14,14,37,38,45,73,241,256,264,267,505,511,527,534,536,616,653,657,660,684,1155,1155,1155,1155,1159,16485538,16485564,16485574,16485574,16485580,16485594,16485594,16485594,16485596,16485607,16485611,16485662,16485682,16485684,16485689,16485693,16485700,16485716,16485766,16486195,16486207,16486212,16486212,16486231,16486233,16486235,16486235,16486235,16486263,16486263,16486268,16486269,16486273,16486370,16486372,16486372,16486373,16486392,16486399,16486401,16486421,16486421,16486428,16486448,16486448,16486459,16486463,16486472,16486476,16486495,16486508,16489436,16489438,16489587,16489617,16489627,16489631,16489634,16489671,16503541,16503556,16503562,16503564,16503793,16503829,16503834,656096046,656096053,656096169,656096169,656096172,656096173,656096184,656096191,656096194,656097114,656097123,656097131,656097131,656106859,656106867,656106886,656107189,656107189,656107191,656107193,656107200,656107200,656107200,656107203,656107210,656107210,656107226,656107231,656107232,656107396,656107401,656107750,656107753,700928233,700928234,700928245,700928270,700928275,700928280,700928280,700928290,700928316,700928803,700928847,700928847,700928854,700928856,700928861,700928879,700928883,700928883,700928932,700928939,709273796,709273797,709273797,709273797,709273964,709274008,709274016,709274016,709274025,709274043,709274325,709274329,709274335,709274687,709274695,709274695,709274783,709274784,709274789,709274796,709274820,709274822,709274832,709274833,709274833,870612006,870612010,870612011,870612016,870612030,870612041,870612041,870612047,870612047,870612050,870612051,870612052,870612090,870612090,870612091,870612103,870612115,870612115,870612115,870612124,870612126,870612184,870612188,870612189,870612191,870612195,870612200,884301855,884301935,884302035,884302035,884302036,884302046,884302051,884302058,884302064,884302067,884302082,884302084,884302094,884302103,884302103,884302128,884583356,884583361,884583364,884583373,884583373,884583380,884583384,884583630,884583818,884583822,884583859,884583870,884583997,884584006,884584008,884584044,884584044,884584111,884584186,884584215,884584218,884584219,884584238,884584238,884584247,884584253,884584258,884584267,884584269,884584277,884584278,884584279,884584288,884584288,884584288,884584300,884584301,884584306,884584309,884584315,884584323,884584333,884584334,884584361,884827940,884827941,884832917,884832923,884832949,884832949,884832989,884832996,884833088,884833090,884833094,884833098,884833135,884833138,884833152,884833154,884833155,951148483,951148508,951148510,951148698,951148710,951148711,951148712,951149011,951149016,951149016,951149035,951149038,951149042,951149046,951149054,951149064,951149066,951149070,951149095,951149112,951149202,951149206,951149206,951149207,951149210,951149229,951149480,951149485,951149487,951149489,951149501,951149520,951149540,951149547,951149557,951149563,951149568,951149578,951149590,951149593,311557383,311557410,311557411,311557465,311557497,311557620,311557621,311557637,311557637,311557642,311557645,311557646,311557672,311557731,311557738,311557741,311557757,311557831,311557846,311557850,311569439,311569445,311569456,311569457,313825136,313825205,313825210,313825250,313825251,313825251,313825255,313825270,313825270,313825270,313825277,313825279,313825279,313825295,313825295,313825341,313825347,313825350,313825358,313825358,313825378,313825383,313825397,313825400,313825416,313825423,313825432,313825446,313825449,313825460,313825460,313825463,313825473,313825480,313825484,313825484,313825535,313825773,313825812,313825813,313825926,313825926,313825930,313825933,313825934,313825935,313825938,313825938,313825948,313825950,313825954,313825963,313826014,313826015,313826015,313826017,313826022,313826023,313826026,313826026,313826030,313826030,313826041,313826044,313826046,313826046,313831633,313831639,313831643,313831684,313831687,313831689,313831695,313831696,313831704,313831706,313831712,313831714,313831774,313831803,313831813,313831814,313831827,313831963,313832022,313832077,313832098,313832107,313832114,313832456,313832457,313832471,334146858,334146859,334147120,334147126,334147128,334147141,334147141,334147144,334147144,334147144,334147147,334147147,334147157,334147159,334147175,334147178,334147195,334147318,334147347,336039313,336039320,336039337,371350111,371350111,371350116,371350128,371350134,371350144,371350149,371350149,371350155,371350356,371350357,371350367,371350374,371350388,371350392,371350401,371351435,371351448,371351448,371351518,371351528,371351597,371351609,371351613,371351671,371351672,371351722,371351730,371351762,371351777,371351780,371351787,371351819,371351819,371351821,371353724,371353842,371359258,371359259,371359264,371359295,371359296,371359302,371359319,371359322,371359323,371359324,371359324,371359326,393521839,393521843,393521846,393521846,393521846,393521847,393521854,393521855,393521861,393521864,393521878,393521880,393521881,393521881,393521888,393521895,393521924,393523895,393523905,393523928,393523929,3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