6 14 1 0 1 0 1 0
220326608,244110861,246624556,248743646,249096488,254453096,254584907,255073362,257963217,259350133,259546886,261301806,261472001,262552810,265439672,265522303,265986052,267490783,268040972,268097866,268375882,268703695,269261507,269262841,269308020,269354912,269832478,269863358,269890657,269920851,269959820,270206826,270231804,270268089,270452522,270817260,270921361,271244163,271290946,271290948,271290950,271290988,271290989,271290990,271290992,271340124,271416025,271422397,271422401,271470878,271472134,271478024,271523365,271529276,271609581,271612695,271619676,271664515,271717073,271744137,271767933,271780538,271780540,271834566,271871569,271926772,272055026,272104496,272106530,272122355,272130533,272148052,272150614,272151335,272164461,272172058,272172076,272204019,272219201,272337901,272475151,272521446,272707726,272729072,272734310,272785488,272831431,272842338,272879624,272899826,272911243,272919181,272955317,272994930,273037340,273041063,273052731,273152474,273300116,273319340,273337058,273339616,273353970,273465257,273506493,273509859,273539784,273547417,273559430,273615180,273621154,273633261,273676997,273688466,273689470,273699817,273757797,273772574,273787873,273824704,273884272,273973026,273977346,273990081,273999326,274005979,274005984,274005989,274006003,274006005,274006007,274006009,274008254,274013642,274040743,274042612,274083586,274104626,274136298,274142648,274146247,274164885,274177667,274180321,274182786,274186058,274186503,274195549,274245077,274316963,274316971,274316972,274346537,274411790,274413620,274414817,274417379,274448487,274466468,274477034,274493839,274594348,274628126,274632604,274709584,274720534,274746083,274755715,274778243,274785532,274798829,274806181,274827185,274865151,274894450,275047701,275095190,275095198,275095201,275095202,275095346,275095348,275095350,275112863,275168920,275290361,275328736,275378445,275385319,275386183,275423154,275538211,275540315,275543116,275558872,275566685,275572543,275583201,275617233,275625622,275689501,275690463,275736383,275746793,275746797,275766768,275859430,275946788,275956349,275998344,276054205,276054258,276093750,276106835,276110893,276254227,276255276,276270684,276271508,276272220,276275305,276278840,276297154,276305146,276353527,276393713,276441013,276450113,276551504,276551524,276551555,276551585,276551625,276553242,276555824,276585819,276600957,276641581,276674996,276678687,276725826,276777487,276785065,276785339,276796993,276815618,276849467,276907954,276951754,276966555,277045268,277045275,277045720,277050281,277078239,277132395,277154768,277155384,277167702,277188155,277248193,277248415,277274357,277277276,277277282,277284971,277290898,277293235,277320970,277332505,277345329,277345825,277357876,277363967,277364026,277364028,277375032,277377121,277380474,277386484,277449975,277520571,277529526,277553984,277554403,277555233,277555548,277583343,277589870,277608497,277609789,277622752,277624742,277639646,277652197,277657604,277666759,277721414,277829514,277963631,277964410,277970702,277971938,278001439,278051462,278113046,278115171,278142249,278142910,278164570,278171294,278180039,278202245,278224707,278251748,278276994,278284791,278332798,278332815,278346086,278383967,278400740,278414577,278422552,278428443,278436832,278439270,278450907,278466159,278468280,278468377,278469530,278524559,278524753,278537784,278544478,278545840,278554376,278582566,278595344,278606413,278627851,278628134,278632904,278655403,278681895,278695388,278752772,278760925,278765116,278765405,278781889,278788592,278794551,278824818,278825836,278830013,278848524,278849461,278854340,278859802,278867570,278875207,278877165,278891786,278896916,278897034,278906401,278908826,278913336,278931793,278959363,278960941,279004330,279029130,279084963,279096145,279098934,279101370,279117916,279127929,279132249,279133516,279141222,279147269,279150234,279171942,279172128,279180186,279180758,279181087,279185682,279186328,279190690,279193008,279193884,279196005,279200879,279208732,279221314,279227464,279231662,279231664,279231901,279231920,279231973,279232080,279232192,279232206,279232327,279232738,279232880,279232984,279233607,279233628,279233687,279233692,279233734,279233735,279233753,279234447,279234832,279236902,279237125,279237786,279238003,279240309,279264224,279267425,279379298,279397784,279419504,279427846,279446497,279446633,279452635,279476894,279482966,279483386,279484293,279484505,279486820,279492803,279495339,279498262,279507911,279531767,279532758,279533703,279538636,279541633,279551864,279556907,279575944,279579737,279582471,279583497,279589919,279589922,279589927,279591332,279618698,279627875,279634256,279638704,279653398,279656474,279691817,279692040,279734500,279738054,279747239,279774549,279778015,279795876,279817292,279817359,279827940,279838383,279856487,279871654,279881656,279885966,279899902,279910908,279918623,279931386,279936631,279960650,279960702,279962643,279999251,279999252,280006871,280009878,280011670,280012945,280013836,280016731,280018509