{"class":"dataset","version":"2.0","label":"Población por grupos quinquenales y sexo","source":"Padrón Municipal de Habitantes. Instituto Nacional de Estadística (INE)","updated":"2023-01-29T23:00:00Z","note":["Los datos correspondientes a 2022 son definitivos.\rPara 1997 no existen datos ya que en 1996 se hizo la última renovación padronal y en 1998 la primera revisión de padrón de acuerdo con el nuevo sistema de gestión de la Ley 4/1996\rValle de Villaverde: Anterior Villaverde de Trucíos."],"id":["municipios","ano","sexo","grupos-quinquenales-de-edad","variables"],"size":[103,26,3,18,1],"role":{"metric":["variables"]},"dimension":{"municipios":{"label":"Municipios","category":{"index":{"total":0,"39001-alfoz-de-lloredo":1,"39002-ampuero":2,"39003-anievas":3,"39004-arenas-de-iguna":4,"39005-argonos":5,"39006-arnuero":6,"39007-arredondo":7,"39008-astillero-el":8,"39009-barcena-de-cicero":9,"39010-barcena-de-pie-de-concha":10,"39011-bareyo":11,"39012-cabezon-de-la-sal":12,"39013-cabezon-de-liebana":13,"39014-cabuerniga":14,"39015-camaleno":15,"39016-camargo":16,"39017-campoo-de-yuso":17,"39018-cartes":18,"39019-castaneda":19,"39020-castro-urdiales":20,"39021-cieza":21,"39022-cillorigo-de-liebana":22,"39023-colindres":23,"39024-comillas":24,"39025-corrales-de-buelna-los":25,"39026-corvera-de-toranzo":26,"39027-campoo-de-enmedio":27,"39028-entrambasaguas":28,"39029-escalante":29,"39030-guriezo":30,"39031-hazas-de-cesto":31,"39032-hermandad-de-campoo-de-suso":32,"39033-herrerias":33,"39034-lamason":34,"39035-laredo":35,"39036-liendo":36,"39037-lierganes":37,"39038-limpias":38,"39039-luena":39,"39040-marina-de-cudeyo":40,"39041-mazcuerras":41,"39042-medio-cudeyo":42,"39043-meruelo":43,"39044-miengo":44,"39045-miera":45,"39046-molledo":46,"39047-noja":47,"39048-penagos":48,"39049-penarrubia":49,"39050-pesaguero":50,"39051-pesquera":51,"39052-pielagos":52,"39053-polaciones":53,"39054-polanco":54,"39055-potes":55,"39056-puente-viesgo":56,"39057-ramales-de-la-victoria":57,"39058-rasines":58,"39059-reinosa":59,"39060-reocin":60,"39061-ribamontan-al-mar":61,"39062-ribamontan-al-monte":62,"39063-rionansa":63,"39064-riotuerto":64,"39065-rozas-de-valdearroyo-las":65,"39066-ruente":66,"39067-ruesga":67,"39068-ruiloba":68,"39069-san-felices-de-buelna":69,"39070-san-miguel-de-aguayo":70,"39071-san-pedro-del-romeral":71,"39072-san-roque-de-riomiera":72,"39073-santa-cruz-de-bezana":73,"39074-santa-maria-de-cayon":74,"39075-santander":75,"39076-santillana-del-mar":76,"39077-santiurde-de-reinosa":77,"39078-santiurde-de-toranzo":78,"39079-santona":79,"39080-san-vicente-de-la-barquera":80,"39081-saro":81,"39082-selaya":82,"39083-soba":83,"39084-solorzano":84,"39085-suances":85,"39086-tojos-los":86,"39087-torrelavega":87,"39088-tresviso":88,"39089-tudanca":89,"39090-udias":90,"39091-valdaliga":91,"39092-valdeolea":92,"39093-valdeprado-del-rio":93,"39094-valderredible":94,"39095-val-de-san-vicente":95,"39096-vega-de-liebana":96,"39097-vega-de-pas":97,"39098-villacarriedo":98,"39099-villaescusa":99,"39100-villafufre":100,"39101-valle-de-villaverde":101,"39102-voto":102},"label":{"total":"Total","39001-alfoz-de-lloredo":"39001 - Alfoz de Lloredo","39002-ampuero":"39002 - Ampuero","39003-anievas":"39003 - Anievas","39004-arenas-de-iguna":"39004 - Arenas de Iguña","39005-argonos":"39005 - Argoños","39006-arnuero":"39006 - Arnuero","39007-arredondo":"39007 - Arredondo","39008-astillero-el":"39008 - Astillero (El)","39009-barcena-de-cicero":"39009 - Bárcena de Cicero","39010-barcena-de-pie-de-concha":"39010 - Bárcena de Pie de Concha","39011-bareyo":"39011 - Bareyo","39012-cabezon-de-la-sal":"39012 - Cabezón de la Sal","39013-cabezon-de-liebana":"39013 - Cabezón de Liébana","39014-cabuerniga":"39014 - Cabuérniga","39015-camaleno":"39015 - Camaleño","39016-camargo":"39016 - Camargo","39017-campoo-de-yuso":"39017 - Campoo de Yuso","39018-cartes":"39018 - Cartes","39019-castaneda":"39019 - Castañeda","39020-castro-urdiales":"39020 - Castro-Urdiales","39021-cieza":"39021 - Cieza","39022-cillorigo-de-liebana":"39022 - Cillorigo de Liébana","39023-colindres":"39023 - Colindres","39024-comillas":"39024 - Comillas","39025-corrales-de-buelna-los":"39025 - Corrales de Buelna (Los)","39026-corvera-de-toranzo":"39026 - Corvera de Toranzo","39027-campoo-de-enmedio":"39027 - Campoo de Enmedio","39028-entrambasaguas":"39028 - Entrambasaguas","39029-escalante":"39029 - Escalante","39030-guriezo":"39030 - Guriezo","39031-hazas-de-cesto":"39031 - Hazas de Cesto","39032-hermandad-de-campoo-de-suso":"39032 - Hermandad de Campoo de Suso","39033-herrerias":"39033 - Herrerías","39034-lamason":"39034 - Lamasón","39035-laredo":"39035 - Laredo","39036-liendo":"39036 - Liendo","39037-lierganes":"39037 - Liérganes","39038-limpias":"39038 - Limpias","39039-luena":"39039 - Luena","39040-marina-de-cudeyo":"39040 - Marina de Cudeyo","39041-mazcuerras":"39041 - Mazcuerras","39042-medio-cudeyo":"39042 - Medio Cudeyo","39043-meruelo":"39043 - Meruelo","39044-miengo":"39044 - Miengo","39045-miera":"39045 - Miera","39046-molledo":"39046 - Molledo","39047-noja":"39047 - Noja","39048-penagos":"39048 - Penagos","39049-penarrubia":"39049 - Peñarrubia","39050-pesaguero":"39050 - Pesaguero","39051-pesquera":"39051 - Pesquera","39052-pielagos":"39052 - Piélagos","39053-polaciones":"39053 - Polaciones","39054-polanco":"39054 - Polanco","39055-potes":"39055 - Potes","39056-puente-viesgo":"39056 - Puente Viesgo","39057-ramales-de-la-victoria":"39057 - Ramales de la Victoria","39058-rasines":"39058 - Rasines","39059-reinosa":"39059 - Reinosa","39060-reocin":"39060 - Reocín","39061-ribamontan-al-mar":"39061 - Ribamontán al Mar","39062-ribamontan-al-monte":"39062 - Ribamontán al Monte","39063-rionansa":"39063 - Rionansa","39064-riotuerto":"39064 - Riotuerto","39065-rozas-de-valdearroyo-las":"39065 - Rozas de Valdearroyo (Las)","39066-ruente":"39066 - Ruente","39067-ruesga":"39067 - Ruesga","39068-ruiloba":"39068 - Ruiloba","39069-san-felices-de-buelna":"39069 - San Felices de Buelna","39070-san-miguel-de-aguayo":"39070 - San Miguel de Aguayo","39071-san-pedro-del-romeral":"39071 - San Pedro del Romeral","39072-san-roque-de-riomiera":"39072 - San Roque de Riomiera","39073-santa-cruz-de-bezana":"39073 - Santa Cruz de Bezana","39074-santa-maria-de-cayon":"39074 - Santa María de Cayón","39075-santander":"39075 - Santander","39076-santillana-del-mar":"39076 - Santillana del Mar","39077-santiurde-de-reinosa":"39077 - Santiurde de Reinosa","39078-santiurde-de-toranzo":"39078 - Santiurde de Toranzo","39079-santona":"39079 - Santoña","39080-san-vicente-de-la-barquera":"39080 - San Vicente de la Barquera","39081-saro":"39081 - Saro","39082-selaya":"39082 - Selaya","39083-soba":"39083 - Soba","39084-solorzano":"39084 - Solórzano","39085-suances":"39085 - Suances","39086-tojos-los":"39086 - Tojos (Los)","39087-torrelavega":"39087 - Torrelavega","39088-tresviso":"39088 - Tresviso","39089-tudanca":"39089 - Tudanca","39090-udias":"39090 - Udías","39091-valdaliga":"39091 - Valdáliga","39092-valdeolea":"39092 - Valdeolea","39093-valdeprado-del-rio":"39093 - Valdeprado del Río","39094-valderredible":"39094 - Valderredible","39095-val-de-san-vicente":"39095 - Val de San Vicente","39096-vega-de-liebana":"39096 - Vega de Liébana","39097-vega-de-pas":"39097 - Vega de Pas","39098-villacarriedo":"39098 - Villacarriedo","39099-villaescusa":"39099 - Villaescusa","39100-villafufre":"39100 - Villafufre","39101-valle-de-villaverde":"39101 - Valle de Villaverde","39102-voto":"39102 - Voto"},"child":{"total":["39001-alfoz-de-lloredo","39002-ampuero","39003-anievas","39004-arenas-de-iguna","39005-argonos","39006-arnuero","39007-arredondo","39008-astillero-el","39009-barcena-de-cicero","39010-barcena-de-pie-de-concha","39011-bareyo","39012-cabezon-de-la-sal","39013-cabezon-de-liebana","39014-cabuerniga","39015-camaleno","39016-camargo","39017-campoo-de-yuso","39018-cartes","39019-castaneda","39020-castro-urdiales","39021-cieza","39022-cillorigo-de-liebana","39023-colindres","39024-comillas","39025-corrales-de-buelna-los","39026-corvera-de-toranzo","39027-campoo-de-enmedio","39028-entrambasaguas","39029-escalante","39030-guriezo","39031-hazas-de-cesto","39032-hermandad-de-campoo-de-suso","39033-herrerias","39034-lamason","39035-laredo","39036-liendo","39037-lierganes","39038-limpias","39039-luena","39040-marina-de-cudeyo","39041-mazcuerras","39042-medio-cudeyo","39043-meruelo","39044-miengo","39045-miera","39046-molledo","39047-noja","39048-penagos","39049-penarrubia","39050-pesaguero","39051-pesquera","39052-pielagos","39053-polaciones","39054-polanco","39055-potes","39056-puente-viesgo","39057-ramales-de-la-victoria","39058-rasines","39059-reinosa","39060-reocin","39061-ribamontan-al-mar","39062-ribamontan-al-monte","39063-rionansa","39064-riotuerto","39065-rozas-de-valdearroyo-las","39066-ruente","39067-ruesga","39068-ruiloba","39069-san-felices-de-buelna","39070-san-miguel-de-aguayo","39071-san-pedro-del-romeral","39072-san-roque-de-riomiera","39073-santa-cruz-de-bezana","39074-santa-maria-de-cayon","39075-santander","39076-santillana-del-mar","39077-santiurde-de-reinosa","39078-santiurde-de-toranzo","39079-santona","39080-san-vicente-de-la-barquera","39081-saro","39082-selaya","39083-soba","39084-solorzano","39085-suances","39086-tojos-los","39087-torrelavega","39088-tresviso","39089-tudanca","39090-udias","39091-valdaliga","39092-valdeolea","39093-valdeprado-del-rio","39094-valderredible","39095-val-de-san-vicente","39096-vega-de-liebana","39097-vega-de-pas","39098-villacarriedo","39099-villaescusa","39100-villafufre","39101-valle-de-villaverde","39102-voto"]}}},"variables":{"label":"Variables","category":{"index":{"poblacion":0},"label":{"poblacion":"Población"},"unit":{"poblacion":{"decimals":0,"label":"Número de personas"}}}},"ano":{"label":"Año","category":{"index":{"1996":0,"1998":1,"1999":2,"2000":3,"2001":4,"2002":5,"2003":6,"2004":7,"2005":8,"2006":9,"2007":10,"2008":11,"2009":12,"2010":13,"2011":14,"2012":15,"2013":16,"2014":17,"2015":18,"2016":19,"2017":20,"2018":21,"2019":22,"2020":23,"2021":24,"2022":25}}},"grupos-quinquenales-de-edad":{"label":"Grupos quinquenales de edad","category":{"index":{"0-4":0,"5-9":1,"10-14":2,"15-19":3,"20-24":4,"25-29":5,"30-34":6,"35-39":7,"40-44":8,"45-49":9,"50-54":10,"55-59":11,"60-64":12,"65-69":13,"70-74":14,"75-79":15,"80-84":16,"85-y-mas":17},"label":{"0-4":"0-4","5-9":"5-9","10-14":"10-14","15-19":"15-19","20-24":"20-24","25-29":"25-29","30-34":"30-34","35-39":"35-39","40-44":"40-44","45-49":"45-49","50-54":"50-54","55-59":"55-59","60-64":"60-64","65-69":"65-69","70-74":"70-74","75-79":"75-79","80-84":"80-84","85-y-mas":"85 y más"}}},"sexo":{"label":"Sexo","category":{"index":{"ambos-sexos":0,"mujeres":1,"varones":2},"label":{"ambos-sexos":"Ambos sexos","mujeres":"Mujeres","varones":"Varones"}}}},"value":[19676,24197,30980,41820,42134,40305,40341,41561,37123,34551,28056,23930,30018,29069,24534,17273,12456,9375,9480,11794,15078,20388,20641,19723,20151,20907,18485,17117,14150,12228,15578,15593,13647,10558,8212,6684,10200,12405,15901,21437,21493,20579,20182,20649,18633,17427,13894,11699,14436,13472,10883,6716,4243,2691,17854,22822,28530,38778,43026,40336,40712,41496,38920,35922,30592,23223,28384,29519,25328,18573,12778,10354,8624,11041,13906,18893,21041,19779,20365,20862,19500,17797,15317,11828,14723,15816,14005,11116,8374,7383,9228,11780,14623,19883,21985,20556,20346,20633,19420,18124,15274,11394,13660,13702,11323,7457,4405,2971,17614,21972,27337,36763,43374,40533,40296,41254,40040,36093,32360,24458,26895,29609,26145,19502,13111,11039,8426,10588,13333,17889,21171,19927,19980,20819,19970,17969,16207,12454,13858,15845,14408,11567,8559,7922,9186,11373,13995,18871,22202,20597,20316,20427,20068,18121,16149,11996,13027,13755,11721,7922,4535,3103,17465,21348,26159,34836,43176,41727,41136,41278,41530,36645,33647,26390,24639,29496,26331,20494,13149,11711,8393,10279,12731,16963,21195,20553,20313,20721,20736,18269,16789,13406,12770,15728,14608,11998,8581,8446,9072,11069,13428,17873,21982,21175,20823,20557,20794,18376,16858,12984,11869,13769,11724,8496,4568,3265,18944,20805,25322,33055,42964,42871,42129,41714,42760,37545,34847,27435,24176,29076,26886,21323,13514,12239,9153,10031,12306,16096,21005,21135,20724,20890,21417,18727,17289,14003,12539,15399,14877,12455,8742,8845,9791,10774,13016,16959,21959,21736,21405,20824,21343,18818,17558,13432,11637,13677,12009,8868,4772,3394,19730,20456,24550,31400,41975,44566,42697,42664,43483,38840,35592,29161,23098,28977,27016,21963,13872,12235,9619,9868,11973,15282,20445,21990,20888,21329,21807,19348,17696,14782,11976,15347,14933,12787,8879,8834,10111,10588,12577,16118,21530,22576,21809,21335,21676,19492,17896,14379,11122,13630,12083,9176,4993,3401,21238,20417,24230,30122,40549,45558,43764,43617,43735,40390,36696,30946,23215,27882,27760,22434,14613,12524,10353,9860,11712,14662,19807,22348,21480,21750,21876,20195,18212,15635,12002,14758,15363,13029,9289,9050,10885,10557,12518,15460,20742,23210,22284,21867,21859,20195,18484,15311,11213,13124,12397,9405,5324,3474,22355,20644,23705,28957,38718,46394,44763,44066,43981,41739,36977,32735,24417,26258,27792,23109,15280,12894,10888,9902,11430,14106,18893,22782,22060,21811,22048,20737,18470,16564,12616,13824,15390,13368,9676,9312,11467,10742,12275,14851,19825,23612,22703,22255,21933,21002,18507,16171,11801,12434,12402,9741,5604,3582,23506,21165,23233,27847,37261,47123,46072,45054,44080,43457,37666,34119,26514,24272,27902,23458,16325,13255,11424,10176,11171,13541,18142,23219,22642,22244,21981,21616,18835,17248,13663,12856,15340,13636,10219,9559,12082,10989,12062,14306,19119,23904,23430,22810,22099,21841,18831,16871,12851,11416,12562,9822,6106,3696,24429,21937,22704,26934,35643,46738,47329,45935,44535,44487,38543,35239,27502,23829,27555,24005,17012,13735,11830,10593,10939,13059,17406,22986,23257,22502,22128,22191,19313,17659,14229,12647,15053,13885,10620,9925,12599,11344,11765,13875,18237,23752,24072,23433,22407,22296,19230,17580,13273,11182,12502,10120,6392,3810,25143,22600,22527,26189,34020,45624,48750,46322,45247,45159,39645,35949,29266,22785,27477,24211,17718,14192,12082,10990,10857,12745,16649,22373,23950,22632,22456,22555,19828,18089,15041,12062,15047,13954,11044,10187,13061,11610,11670,13444,17371,23251,24800,23690,22791,22604,19817,17860,14225,10723,12430,10257,6674,4005,26224,23614,22558,26067,33237,44722,50184,47534,46303,45393,41194,36869,30944,22854,26356,24902,18211,14972,12610,11529,10853,12562,16243,21856,24476,23254,22853,22611,20641,18533,15875,12042,14417,14372,11283,10659,13614,12085,11705,13505,16994,22866,25708,24280,23450,22782,20553,18336,15069,10812,11939,10530,6928,4313,27782,24852,22704,25715,32170,43218,51105,48472,46934,45720,42663,37129,32602,24014,24907,25007,18658,15583,13418,12159,10876,12377,15768,21156,24939,23839,23047,22865,21252,18792,16752,12613,13557,14488,11503,11099,14364,12693,11828,13338,16402,22062,26166,24633,23887,22855,21411,18337,15850,11401,11350,10519,7155,4484,28242,25759,23094,25168,30691,41137,50900,49144,47324,45570,44125,37687,33844,25982,22950,25039,19068,16526,13562,12670,11120,12063,15071,20174,24991,24199,23243,22670,22008,19106,17398,13623,12540,14419,11765,11697,14680,13089,11974,13105,15620,20963,25909,24945,24081,22900,22117,18581,16446,12359,10410,10620,7303,4829,28032,26470,23722,24539,29398,38652,49909,49614,47748,45759,44920,38432,34801,26844,22459,24722,19646,17454,13473,13020,11478,11772,14411,19083,24547,24433,23473,22795,22500,19498,17770,14138,12290,14179,12081,12308,14559,13450,12244,12767,14987,19569,25362,25181,24275,22964,22420,18934,17031,12706,10169,10543,7565,5146,28064,27211,24121,24149,28297,36333,48103,50542,47765,46132,45516,39460,35391,28428,21563,24594,19877,18315,13494,13294,11740,11576,13915,18032,23628,24956,23447,23024,22892,19939,18112,14921,11764,14101,12133,12894,14570,13917,12381,12573,14382,18301,24475,25586,24318,23108,22624,19521,17279,13507,9799,10493,7744,5421,27536,27685,24573,23592,27338,34245,45669,50738,47810,46494,45176,40647,36032,29955,21554,23593,20352,18899,13366,13597,12056,11325,13357,17005,22519,24973,23592,23205,22686,20594,18435,15662,11704,13494,12444,13231,14170,14088,12517,12267,13981,17240,23150,25765,24218,23289,22490,20053,17597,14293,9850,10099,7908,5668,26378,28215,25365,23185,26342,32102,42695,50620,47890,46444,44989,41698,36120,31427,22573,22358,20431,19824,12779,13840,12495,11082,12806,16003,21082,24956,23769,23081,22738,21031,18561,16458,12222,12683,12503,13785,13599,14375,12870,12103,13536,16099,21613,25664,24121,23363,22251,20667,17559,14969,10351,9675,7928,6039,25223,28362,25964,23405,25481,30094,39942,49854,48000,46419,44576,42896,36349,32489,24498,20564,20555,20508,12168,13854,12826,11287,12321,14985,19796,24717,23843,23046,22455,21680,18739,17051,13209,11701,12493,14220,13055,14508,13138,12118,13160,15109,20146,25137,24157,23373,22121,21216,17610,15438,11289,8863,8062,6288,24125,28284,26571,23848,24633,28661,37121,48437,48300,46568,44657,43638,37008,33280,25303,20166,20403,21203,11731,13768,13141,11573,11901,14204,18491,24083,23979,23118,22525,22135,19115,17362,13668,11480,12347,14597,12394,14516,13430,12275,12732,14457,18630,24354,24321,23450,22132,21503,17893,15918,11635,8686,8056,6606,23143,28185,27201,24238,24203,27452,34729,46424,49157,46345,44891,44133,37981,33861,26679,19437,20364,21872,11274,13710,13362,11832,11684,13635,17298,23083,24473,23009,22697,22516,19520,17659,14378,11042,12316,14999,11869,14475,13839,12406,12519,13817,17431,23341,24684,23336,22194,21617,18461,16202,12301,8395,8048,6873,22370,27857,27817,24816,23886,26845,32925,44405,49521,46618,45321,43918,39344,34554,28165,19559,19693,22615,10932,13517,13675,12180,11535,13254,16408,22133,24631,23261,22907,22371,20276,18039,15095,11033,11901,15517,11438,14340,14142,12636,12351,13591,16517,22272,24890,23357,22414,21547,19068,16515,13070,8526,7792,7098,21599,27008,28499,25830,23882,26338,31621,42161,49925,47178,45577,43981,40579,34837,29593,20581,18737,23152,10602,13062,14001,12663,11525,12894,15819,21070,24892,23625,22933,22543,20780,18256,15897,11578,11231,15906,10997,13946,14498,13167,12357,13444,15802,21091,25033,23553,22644,21438,19799,16581,13696,9003,7506,7246,20726,26187,28990,26838,24506,25999,30324,40149,49841,47928,46028,43936,42028,35317,30686,22380,17322,23720,10179,12646,14186,13167,11836,12639,15276,20115,24946,24008,23140,22396,21546,18548,16492,12520,10423,16283,10547,13541,14804,13671,12670,13360,15048,20034,24895,23920,22888,21540,20482,16769,14194,9860,6899,7437,19749,25337,29082,27560,25243,25595,29502,38300,49167,48867,46635,44387,43067,36219,31582,23213,17033,23969,9603,12334,14196,13537,12249,12436,14805,19220,24643,24477,23374,22642,22136,18982,16862,13038,10224,16371,10146,13003,14886,14023,12994,13159,14697,19080,24524,24390,23261,21745,20931,17237,14720,10175,6809,7598,18780,24625,29112,28342,25770,25282,28772,36337,47721,50120,46775,44900,43801,37234,32303,24500,16553,24475,9148,12014,14187,13863,12548,12284,14384,18284,23874,25127,23435,22943,22586,19444,17243,13696,9901,16723,9632,12611,14925,14479,13222,12998,14388,18053,23847,24993,23340,21957,21215,17790,15060,10804,6652,7752,88,115,124,209,221,186,185,172,187,181,121,135,190,157,151,102,67,51,39,53,63,92,106,80,87,92,88,77,63,64,87,76,87,68,41,35,49,62,61,118,115,107,98,80,100,105,58,71,103,81,65,34,26,16,80,120,108,186,210,189,175,203,167,177,156,103,180,180,140,123,56,55,38,54,50,84,109,74,82,102,85,82,68,50,89,84,75,76,35,39,42,66,58,102,101,115,93,101,82,95,88,53,91,96,65,47,21,16,81,105,117,157,211,192,166,197,170,183,163,104,180,185,147,129,66,55,37,43,56,78,99,77,81,94,93,80,69,56,87,89,73,80,47,38,44,62,61,79,112,115,85,103,77,103,95,49,93,97,74,49,19,16,95,95,115,137,219,188,181,193,175,177,177,117,153,189,140,135,71,57,46,36,58,70,98,82,85,95,87,81,79,63,73,90,70,83,53,38,49,59,57,67,121,106,96,98,88,96,98,54,80,99,70,52,18,19,91,85,115,130,204,181,173,207,165,187,179,119,145,184,142,144,74,65,47,32,53,65,89,80,79,98,85,92,75,63,69,85,74,82,54,48,44,53,62,65,115,101,94,109,80,95,104,56,76,99,68,62,20,17,85,89,111,129,187,183,181,195,186,172,191,138,117,184,149,138,88,70,42,35,49,60,81,91,72,96,95,89,83,67,55,88,75,82,56,51,43,54,62,69,106,92,109,99,91,83,108,71,62,96,74,56,32,19,84,83,122,117,171,185,163,203,215,170,180,163,105,175,157,123,104,63,39,34,54,52,73,97,59,104,99,88,83,76,52,85,80,68,69,49,45,49,68,65,98,88,104,99,116,82,97,87,53,90,77,55,35,14,84,84,103,122,153,194,169,178,220,180,177,178,109,172,167,130,98,72,43,34,42,56,74,90,67,91,104,97,78,78,59,82,86,67,66,55,41,50,61,66,79,104,102,87,116,83,99,100,50,90,81,63,32,17,74,96,93,117,147,207,162,179,217,190,180,188,126,150,176,121,99,78,35,44,32,59,70,93,72,86,104,92,83,86,67,72,87,63,68,60,39,52,61,58,77,114,90,93,113,98,97,102,59,78,89,58,31,18,76,91,85,124,140,191,154,165,217,188,196,180,131,143,168,127,100,84,38,50,28,60,66,80,67,79,106,95,96,76,71,65,81,69,65,66,38,41,57,64,74,111,87,86,111,93,100,104,60,78,87,58,35,18,73,74,89,120,138,175,160,162,198,200,188,198,144,118,171,136,103,82,36,36,31,57,64,73,79,71,95,99,97,87,75,53,88,70,66,64,37,38,58,63,74,102,81,91,103,101,91,111,69,65,83,66,37,18,69,83,80,128,120,163,158,152,198,214,189,200,161,105,162,142,94,84,33,38,33,61,52,71,82,61,101,99,99,92,77,50,85,73,56,63,36,45,47,67,68,92,76,91,97,115,90,108,84,55,77,69,38,21,74,86,88,120,123,146,168,154,177,222,190,187,171,104,153,150,97,86,35,46,39,52,59,72,76,69,86,104,103,83,81,55,78,81,52,67,39,40,49,68,64,74,92,85,91,118,87,104,90,49,75,69,45,19,80,76,96,102,114,142,180,158,166,216,198,188,182,119,135,151,98,92,32,40,46,41,58,70,79,72,82,101,99,88,86,65,67,82,54,71,48,36,50,61,56,72,101,86,84,115,99,100,96,54,68,69,44,21,89,78,89,90,116,135,172,164,152,223,195,198,186,123,134,140,103,97,36,41,44,36,58,63,75,73,76,103,101,98,79,71,63,72,62,70,53,37,45,54,58,72,97,91,76,120,94,100,107,52,71,68,41,27,92,82,82,93,118,137,160,183,165,208,210,187,201,129,110,145,107,105,38,41,41,35,58,61,71,87,78,94,108,97,90,68,52,78,64,76,54,41,41,58,60,76,89,96,87,114,102,90,111,61,58,67,43,29,93,78,85,88,127,122,167,172,161,203,225,192,200,148,101,144,114,110,37,35,42,37,58,53,78,85,67,100,104,105,92,74,48,79,67,77,56,43,43,51,69,69,89,87,94,103,121,87,108,74,53,65,47,33,86,76,96,88,121,125,142,179,165,179,234,186,188,157,100,140,122,115,38,32,51,41,51,59,66,78,76,85,109,103,79,76,56,69,76,77,48,44,45,47,70,66,76,101,89,94,125,83,109,81,44,71,46,38,80,86,89,97,109,124,130,193,164,174,216,200,184,166,116,125,122,110,38,36,45,49,42,62,53,90,74,85,102,101,83,77,66,64,74,75,42,50,44,48,67,62,77,103,90,89,114,99,101,89,50,61,48,35,74,95,88,91,92,119,137,185,166,168,225,194,193,171,114,123,114,117,38,37,44,49,33,58,61,84,77,80,105,99,97,73,64,61,66,80,36,58,44,42,59,61,76,101,89,88,120,95,96,98,50,62,48,37,64,97,89,84,95,123,129,168,180,173,203,207,182,186,123,101,125,117,33,39,41,44,34,59,60,77,87,82,93,106,96,80,64,50,67,80,31,58,48,40,61,64,69,91,93,91,110,101,86,106,59,51,58,37,56,97,82,91,87,125,118,166,174,162,199,221,179,188,134,96,118,115,29,40,38,47,38,53,55,77,89,69,98,103,96,88,65,49,69,72,27,57,44,44,49,72,63,89,85,93,101,118,83,100,69,47,49,43,60,89,91,95,92,109,117,152,192,175,177,232,179,187,143,88,114,124,27,38,38,48,44,40,54,77,91,79,86,109,99,82,66,51,58,80,33,51,53,47,48,69,63,75,101,96,91,123,80,105,77,37,56,44,59,80,98,91,95,101,108,133,202,184,178,213,196,186,154,95,97,124,24,36,41,43,52,34,50,66,99,86,85,98,100,83,75,54,51,79,35,44,57,48,43,67,58,67,103,98,93,115,96,103,79,41,46,45,54,73,114,93,98,84,118,132,191,196,180,231,205,191,161,103,100,113,21,36,45,45,52,29,55,62,88,99,85,104,109,92,71,59,50,72,33,37,69,48,46,55,63,70,103,97,95,127,96,99,90,44,50,41,56,69,108,97,97,94,113,135,178,214,191,218,209,190,177,111,81,128,21,36,41,44,49,35,54,62,79,103,94,99,111,95,78,60,40,81,35,33,67,53,48,59,59,73,99,111,97,119,98,95,99,51,41,47,119,143,190,237,261,263,235,233,239,206,199,152,181,185,166,148,107,76,53,76,93,112,128,119,103,117,122,103,97,74,86,102,90,75,75,45,66,67,97,125,132,143,132,116,117,102,101,78,95,83,76,73,32,31,102,149,177,226,269,292,267,248,235,220,193,167,185,174,178,140,109,93,43,71,91,106,127,138,115,119,123,98,99,87,84,98,95,78,68,58,59,78,86,120,142,154,152,129,112,122,94,80,101,76,83,62,41,35,119,148,170,220,280,294,273,262,243,224,195,193,180,159,188,141,114,95,44,69,90,103,131,143,117,122,126,107,103,90,83,89,104,77,72,58,75,79,80,117,148,151,156,139,117,117,93,103,97,69,84,64,42,37,120,147,164,217,259,295,283,265,243,220,204,205,163,166,176,156,109,99,47,64,81,107,118,151,128,117,119,113,96,100,77,90,96,89,66,68,73,83,83,110,141,144,155,148,124,107,108,105,86,76,80,67,43,31,142,136,165,197,249,297,305,269,241,230,214,203,164,160,185,151,112,97,61,57,82,100,112,150,134,120,118,114,99,103,82,78,106,81,63,67,81,79,83,97,137,147,171,149,123,116,115,100,82,82,79,70,49,30,154,149,157,187,244,305,335,282,257,230,220,208,155,189,165,162,100,103,69,62,76,97,115,151,158,121,120,116,99,109,76,95,90,90,56,68,85,87,81,90,129,154,177,161,137,114,121,99,79,94,75,72,44,35,166,135,163,189,227,302,329,304,259,232,223,197,168,185,160,165,108,108,75,52,73,96,111,148,162,131,119,116,97,102,90,89,92,87,59,70,91,83,90,93,116,154,167,173,140,116,126,95,78,96,68,78,49,38,184,126,153,183,218,314,336,318,276,236,228,190,195,176,150,172,110,106,90,51,66,97,108,154,170,145,126,112,107,98,95,88,83,94,59,71,94,75,87,86,110,160,166,173,150,124,121,92,100,88,67,78,51,35,186,129,150,175,223,301,342,322,277,235,230,203,208,154,158,164,124,101,94,54,66,86,112,151,176,150,126,110,116,94,104,77,85,89,72,63,92,75,84,89,111,150,166,172,151,125,114,109,104,77,73,75,52,38,204,146,140,180,220,317,365,350,284,254,231,217,216,155,158,171,120,109,98,64,62,85,112,155,183,160,132,118,114,100,116,82,77,98,67,74,106,82,78,95,108,162,182,190,152,136,117,117,100,73,81,73,53,35,218,163,153,173,212,297,394,371,304,268,239,221,214,157,181,148,137,101,108,73,63,87,106,146,192,177,135,124,118,103,123,79,90,81,83,68,110,90,90,86,106,151,202,194,169,144,121,118,91,78,91,67,54,33,225,184,147,171,221,284,401,373,342,282,236,230,202,179,175,147,139,114,107,89,63,78,109,134,194,180,150,124,123,103,113,93,88,82,81,78,118,95,84,93,112,150,207,193,192,158,113,127,89,86,87,65,58,36,247,205,145,168,204,286,416,393,361,294,242,237,203,204,171,137,140,126,106,107,62,76,100,143,198,183,164,129,114,117,114,101,88,76,86,82,141,98,83,92,104,143,218,210,197,165,128,120,89,103,83,61,54,44,237,208,148,163,192,279,394,392,369,310,244,247,216,214,159,143,136,132,108,100,64,75,88,139,184,191,171,142,110,129,107,112,79,80,81,90,129,108,84,88,104,140,210,201,198,168,134,118,109,102,80,63,55,42,254,207,162,164,177,264,360,405,391,314,263,240,229,227,162,139,141,131,110,99,72,74,77,138,175,191,179,150,115,123,109,121,84,74,83,90,144,108,90,90,100,126,185,214,212,164,148,117,120,106,78,65,58,41,249,224,178,163,166,241,348,420,402,325,282,238,240,218,164,164,116,143,107,110,80,69,77,116,170,205,183,149,125,117,115,120,84,87,70,101,142,114,98,94,89,125,178,215,219,176,157,121,125,98,80,77,46,42,231,223,204,161,166,228,326,429,386,348,295,233,231,210,179,159,117,129,108,105,97,72,73,108,159,206,186,156,131,117,106,119,93,81,75,88,123,118,107,89,93,120,167,223,200,192,164,116,125,91,86,78,42,41,206,250,211,150,166,188,308,416,383,363,285,246,239,212,200,152,115,138,96,109,109,59,70,96,150,195,190,164,129,119,118,115,99,81,72,92,110,141,102,91,96,92,158,221,193,199,156,127,121,97,101,71,43,46,187,240,217,161,158,164,282,414,378,371,291,242,243,221,212,144,115,144,86,108,108,69,72,74,136,199,187,171,136,112,129,108,108,74,72,94,101,132,109,92,86,90,146,215,191,200,155,130,114,113,104,70,43,50,166,264,213,179,147,169,262,382,374,388,302,254,235,228,216,154,110,138,82,115,103,77,67,76,134,182,177,180,141,112,127,110,112,80,63,93,84,149,110,102,80,93,128,200,197,208,161,142,108,118,104,74,47,45,157,253,224,193,161,161,237,349,393,397,315,271,232,236,203,156,143,141,80,111,105,88,72,74,118,170,192,186,145,122,119,117,112,78,79,98,77,142,119,105,89,87,119,179,201,211,170,149,113,119,91,78,64,43,156,239,224,209,157,160,217,319,401,388,344,290,225,235,202,158,143,152,80,113,104,99,70,70,107,150,196,194,158,126,122,115,110,82,76,108,76,126,120,110,87,90,110,169,205,194,186,164,103,120,92,76,67,44,151,217,253,220,169,168,187,311,409,394,365,289,237,240,212,177,138,151,77,102,110,113,79,74,94,151,194,203,167,132,113,127,117,84,78,107,74,115,143,107,90,94,93,160,215,191,198,157,124,113,95,93,60,44,141,206,246,227,178,168,186,288,409,397,385,303,250,245,215,190,132,153,70,97,112,111,88,79,88,139,194,206,180,142,115,137,109,100,73,113,71,109,134,116,90,89,98,149,215,191,205,161,135,108,106,90,59,40,133,181,278,224,190,161,191,273,390,409,413,315,270,250,215,192,125,158,66,86,122,107,90,80,92,136,191,202,199,149,124,139,109,105,67,115,67,95,156,117,100,81,99,137,199,207,214,166,146,111,106,87,58,43,132,155,266,235,199,174,174,271,354,441,418,326,296,249,228,178,121,167,66,75,114,114,90,87,86,129,173,220,207,155,137,133,117,102,63,120,66,80,152,121,109,87,88,142,181,221,211,171,159,116,111,76,58,47,10,22,22,23,28,25,29,22,31,28,23,21,28,29,25,23,9,7,8,7,12,10,8,15,12,13,10,12,13,11,10,19,15,12,4,5,2,15,10,13,20,10,17,9,21,16,10,10,18,10,10,11,5,2,7,17,22,22,25,22,30,24,28,25,23,19,30,25,30,20,17,8,6,7,13,7,10,10,14,13,13,7,11,11,15,14,19,9,10,4,1,10,9,15,15,12,16,11,15,18,12,8,15,11,11,11,7,4,9,14,21,26,24,16,34,23,28,23,24,21,29,25,30,23,13,10,4,7,11,10,11,8,17,12,14,5,14,11,14,14,18,12,9,3,5,7,10,16,13,8,17,11,14,18,10,10,15,11,12,11,4,7,9,14,18,25,21,18,29,28,22,25,21,25,30,24,28,22,12,10,2,7,8,12,11,6,18,12,14,4,11,15,15,13,14,13,9,4,7,7,10,13,10,12,11,16,8,21,10,10,15,11,14,9,3,6,8,11,21,22,18,19,27,28,22,23,24,23,25,27,30,21,16,10,2,7,7,11,10,8,16,12,14,4,11,14,14,11,17,14,10,4,6,4,14,11,8,11,11,16,8,19,13,9,11,16,13,7,6,6,6,10,19,19,21,21,22,33,22,25,26,20,24,30,27,26,18,9,0,7,7,12,7,10,13,12,14,7,12,9,14,15,16,16,11,5,6,3,12,7,14,11,9,21,8,18,14,11,10,15,11,10,7,4,9,8,17,19,22,23,22,32,25,25,28,24,23,30,24,28,14,15,2,5,8,11,6,12,11,14,15,11,9,11,15,15,13,18,7,10,7,3,9,8,16,11,11,18,10,14,19,13,8,15,11,10,7,5,8,11,14,19,27,26,17,36,25,26,27,28,26,27,24,25,14,14,4,4,7,9,11,14,9,16,16,12,7,15,15,13,13,15,8,9,4,7,7,10,16,12,8,20,9,14,20,13,11,14,11,10,6,5,6,9,16,19,24,17,20,33,28,25,30,23,25,28,23,25,17,13,4,2,6,9,11,12,7,18,14,16,8,12,15,14,12,12,12,9,2,7,10,10,13,5,13,15,14,9,22,11,10,14,11,13,5,4,8,9,12,21,24,20,21,26,30,26,24,26,23,26,25,26,19,10,5,3,6,8,11,12,9,14,14,15,8,12,14,15,10,14,14,7,3,6,6,13,13,8,12,12,16,11,16,14,9,11,15,12,5,3,6,7,11,18,22,22,16,22,33,27,25,28,18,22,28,22,23,10,4,0,7,6,11,9,8,12,15,15,10,14,6,13,15,12,15,6,2,7,4,12,11,13,8,10,18,12,15,14,12,9,13,10,8,4,8,6,9,16,20,23,17,17,31,29,25,28,21,22,28,23,23,15,5,0,5,7,9,8,11,8,14,16,13,11,8,14,15,12,15,9,3,6,4,9,11,15,6,9,17,13,12,17,13,8,13,11,8,6,5,7,11,13,19,23,19,15,32,27,29,27,23,25,26,25,23,17,2,3,4,6,8,9,13,6,15,16,15,10,12,14,14,14,13,12,3,4,7,7,11,14,6,9,17,11,14,17,11,11,12,11,10,5,7,6,10,14,19,24,17,19,28,26,29,27,23,22,28,22,23,19,3,4,3,5,9,10,13,6,16,13,18,9,12,12,15,12,10,15,4,2,7,9,10,14,4,13,12,13,11,18,11,10,13,10,13,4,6,10,8,12,24,24,18,20,24,28,28,24,27,21,22,23,25,19,3,7,2,6,10,9,14,7,14,13,16,9,14,10,13,11,13,15,3,3,6,6,14,15,4,13,10,15,12,15,13,11,9,12,12,4,6,10,7,11,21,21,21,16,19,33,26,24,29,17,22,25,20,23,1,8,0,7,9,8,11,7,10,16,15,10,15,5,14,14,11,15,5,2,7,4,12,13,10,9,9,17,11,14,14,12,8,11,9,8,5,9,7,6,19,17,19,20,15,31,28,24,32,17,19,27,18,20,1,6,1,4,10,7,6,11,7,14,15,13,14,6,13,16,9,12,4,3,6,2,9,10,13,9,8,17,13,11,18,11,6,11,9,8,6,6,7,6,15,17,17,20,16,33,29,25,28,19,22,21,21,19,1,4,3,2,9,5,5,13,5,15,16,13,11,10,13,11,13,9,5,2,4,4,6,12,12,7,11,18,13,12,17,9,9,10,8,10,5,8,6,8,11,19,18,17,21,29,29,26,26,19,21,23,20,20,1,4,4,2,5,10,7,13,5,15,12,17,9,11,12,13,12,9,4,4,2,6,6,9,11,4,16,14,17,9,17,8,9,10,8,11,4,5,7,6,11,18,19,14,23,23,31,27,24,23,19,18,19,23,0,2,4,2,7,8,6,11,7,13,12,15,10,12,9,12,10,12,4,3,3,4,4,10,13,3,16,10,19,12,14,11,10,6,9,11,3,6,6,6,9,18,15,15,21,19,33,26,21,25,16,15,20,17,0,2,4,1,6,8,7,7,9,8,15,13,8,12,5,9,12,11,3,4,2,5,3,10,8,8,12,11,18,13,13,13,11,6,8,6,5,6,6,4,5,14,15,14,22,17,31,26,20,28,16,14,19,17,2,2,3,0,4,6,7,4,11,8,11,14,9,11,6,10,11,11,3,4,3,4,1,8,8,10,11,9,20,12,11,17,10,4,8,6,5,6,5,2,8,10,15,13,17,15,30,27,21,25,18,15,19,16,2,1,3,1,4,6,5,4,10,5,13,14,10,9,10,9,10,10,3,5,2,1,4,4,10,9,7,10,17,13,11,16,8,6,9,6,6,5,8,3,7,11,17,13,13,20,26,26,24,25,18,14,19,19,4,1,3,2,2,6,6,6,9,5,12,11,13,8,10,7,10,11,2,4,5,1,5,5,11,7,4,15,14,15,11,17,8,7,9,8,5,5,6,5,5,9,14,16,11,22,21,27,29,19,22,16,10,24,4,0,3,2,1,6,4,6,8,7,10,11,16,5,10,8,5,14,1,5,3,3,4,3,10,10,3,15,11,16,13,14,12,8,5,10,6,3,8,6,4,6,13,16,15,19,18,33,28,20,25,14,9,24,5,0,3,2,1,5,4,8,7,7,8,15,15,6,11,4,4,15,1,3,5,4,3,1,9,8,8,12,10,18,13,14,14,10,5,9,71,116,138,150,109,128,147,182,136,126,106,112,168,144,154,78,58,40,31,48,61,60,56,70,74,83,63,56,59,58,87,84,79,43,40,27,39,69,77,89,53,58,74,99,73,69,47,54,81,60,75,35,18,13,49,98,131,146,115,112,135,175,138,133,97,95,172,135,138,110,61,45,20,44,52,59,55,63,69,75,71,57,51,48,94,76,78,57,39,31,29,54,79,87,60,49,66,100,67,76,46,47,78,59,60,53,22,14,51,86,120,135,131,103,122,163,149,126,110,92,147,140,143,113,64,45,19,41,50,56,58,56,65,72,73,50,57,52,81,75,83,61,39,33,32,45,70,79,73,47,57,91,76,76,53,40,66,65,60,52,25,12,47,72,111,134,141,100,114,169,154,123,113,103,140,145,125,125,69,56,18,34,47,54,65,50,63,75,79,52,55,55,77,76,73,67,40,42,29,38,64,80,76,50,51,94,75,71,58,48,63,69,52,58,29,14,45,69,111,129,140,96,103,152,166,130,115,100,114,150,136,129,68,61,20,30,46,58,54,46,59,70,80,57,53,57,59,79,77,72,40,45,25,39,65,71,86,50,44,82,86,73,62,43,55,71,59,57,28,16,42,53,107,129,144,89,111,125,181,132,126,97,97,156,121,138,73,63,20,21,44,55,59,40,61,63,74,66,58,57,45,86,69,78,41,47,22,32,63,74,85,49,50,62,107,66,68,40,52,70,52,60,32,16,38,50,93,130,137,94,100,133,161,133,132,96,89,163,120,118,90,50,19,17,45,51,51,41,54,67,69,68,56,52,45,89,66,70,52,35,19,33,48,79,86,53,46,66,92,65,76,44,44,74,54,48,38,15,35,52,85,119,138,114,95,123,158,145,128,110,91,136,125,119,94,51,20,19,39,51,53,46,50,63,66,73,47,60,51,77,64,72,54,35,15,33,46,68,85,68,45,60,92,72,81,50,40,59,61,47,40,16,39,50,71,107,133,131,83,117,169,145,127,110,103,127,130,105,100,50,21,19,33,43,50,53,43,58,68,75,49,55,57,70,66,65,56,34,18,31,38,64,83,78,40,59,101,70,78,55,46,57,64,40,44,16,34,48,63,112,134,137,85,109,146,152,131,117,99,107,135,119,103,51,18,25,28,46,58,52,45,56,63,76,54,54,58,53,74,69,63,36,16,23,35,66,76,85,40,53,83,76,77,63,41,54,61,50,40,15,43,49,48,107,136,134,75,106,128,169,137,128,97,92,135,114,111,58,23,24,22,43,56,53,35,54,62,71,68,58,57,41,79,66,67,38,20,25,26,64,80,81,40,52,66,98,69,70,40,51,56,48,44,20,49,42,50,94,132,133,86,90,126,161,137,127,99,84,138,117,96,69,20,24,20,46,51,49,38,45,61,69,70,53,52,41,77,66,57,48,29,18,30,48,81,84,48,45,65,92,67,74,47,43,61,51,39,21,42,45,49,88,124,129,110,82,124,160,148,125,112,83,119,117,98,82,13,29,20,41,55,47,41,40,63,67,76,47,58,47,68,62,60,56,29,16,29,47,69,82,69,42,61,93,72,78,54,36,51,55,38,26,39,47,45,78,111,129,119,82,112,160,147,131,109,94,116,116,92,87,16,24,19,36,50,51,46,38,58,66,79,51,54,52,65,64,59,56,23,23,26,42,61,78,73,44,54,94,68,80,55,42,51,52,33,31,44,43,47,73,113,120,124,88,108,148,159,127,117,97,96,118,94,90,19,22,23,30,50,53,43,39,59,64,80,52,55,56,49,70,56,61,25,21,24,43,63,67,81,49,49,84,79,75,62,41,47,48,38,29,42,45,50,59,109,124,129,85,112,131,162,134,120,95,85,122,90,98,21,24,24,24,47,50,52,37,56,66,69,65,54,57,40,73,53,67,21,21,26,35,62,74,77,48,56,65,93,69,66,38,45,49,37,31,40,50,48,62,101,125,139,95,102,141,161,133,125,102,79,127,89,92,22,24,26,24,49,51,56,42,51,69,68,69,53,55,40,77,50,60,18,26,22,38,52,74,83,53,51,72,93,64,72,47,39,50,39,32,43,44,49,55,91,121,129,117,95,132,155,138,120,109,80,111,93,93,25,15,32,20,43,57,47,48,45,68,64,72,45,55,46,66,52,60,18,29,17,35,48,64,82,69,50,64,91,66,75,54,34,45,41,33,37,42,50,52,77,115,131,119,93,121,161,137,122,107,95,105,100,88,19,19,26,19,35,53,55,45,44,62,66,77,47,55,53,60,55,58,18,23,24,33,42,62,76,74,49,59,95,60,75,52,42,45,45,30,35,53,43,44,71,118,126,114,95,111,145,150,121,108,97,84,98,98,20,26,22,20,31,56,56,40,43,56,63,80,50,54,57,44,56,63,15,27,21,24,40,62,70,74,52,55,82,70,71,54,40,40,42,35,44,46,46,48,56,109,122,122,85,115,127,156,127,109,95,79,97,107,21,24,24,22,25,50,53,47,37,56,62,67,62,52,58,38,58,67,23,22,22,26,31,59,69,75,48,59,65,89,65,57,37,41,39,40,56,41,53,46,49,100,121,130,89,97,133,153,123,113,99,75,100,98,28,21,24,22,21,49,51,49,35,49,64,64,65,49,56,38,61,66,28,20,29,24,28,51,70,81,54,48,69,89,58,64,43,37,39,32,55,51,45,50,52,91,112,134,106,90,125,150,135,114,107,73,87,102,30,28,17,29,19,46,57,55,36,45,65,62,71,43,60,42,53,65,25,23,28,21,33,45,55,79,70,45,60,88,64,71,47,31,34,37,53,51,48,46,54,72,109,143,118,84,113,156,136,117,96,87,76,106,33,24,24,24,21,37,50,65,40,41,56,66,74,44,55,48,48,67,20,27,24,22,33,35,59,78,78,43,57,90,62,73,41,39,28,39,56,55,51,43,56,76,107,143,122,99,107,146,149,121,100,87,69,116,32,28,27,23,26,39,50,68,43,44,56,63,79,49,52,52,39,75,24,27,24,20,30,37,57,75,79,55,51,83,70,72,48,35,30,41,63,64,50,48,62,62,110,142,139,88,113,135,157,129,105,89,62,116,38,29,28,27,28,31,53,67,58,35,55,65,70,62,54,54,31,79,25,35,22,21,34,31,57,75,81,53,58,70,87,67,51,35,31,37,41,35,61,61,60,76,67,63,57,47,39,26,39,27,37,17,9,17,19,15,25,27,33,40,29,36,29,18,17,12,15,15,20,9,5,13,21,20,36,34,26,36,38,26,27,29,21,14,23,12,17,8,4,4,37,41,55,57,63,79,74,59,64,54,44,25,42,25,36,24,11,15,17,18,20,28,32,49,36,31,29,29,15,10,20,15,19,11,7,10,20,23,35,29,31,30,38,28,35,25,29,15,22,10,17,13,4,5,39,37,52,58,65,75,77,58,68,55,45,27,42,24,33,27,12,16,17,14,21,29,31,45,43,24,36,27,19,10,19,11,22,12,7,11,22,23,30,29,34,30,34,33,32,28,26,17,23,13,11,15,5,5,38,43,50,57,78,68,86,72,78,65,46,31,35,28,29,32,16,16,17,17,24,23,38,35,47,30,42,32,18,14,16,13,20,15,9,10,21,26,26,34,40,33,39,42,36,33,28,17,19,15,9,17,7,6,64,43,48,65,72,69,97,91,85,64,55,34,30,32,26,36,15,19,27,19,23,26,32,38,50,43,45,32,23,16,14,14,15,19,8,11,37,24,25,39,40,31,47,48,40,32,32,18,16,18,11,17,7,8,67,51,47,63,71,84,88,107,87,64,64,42,32,40,22,35,18,18,30,24,23,21,33,44,50,50,49,30,28,18,16,15,14,18,10,10,37,27,24,42,38,40,38,57,38,34,36,24,16,25,8,17,8,8,60,58,59,65,75,101,107,107,95,78,75,57,41,49,27,35,21,22,30,24,28,21,37,44,63,50,50,33,41,22,14,25,14,21,8,15,30,34,31,44,38,57,44,57,45,45,34,35,27,24,13,14,13,7,65,72,62,66,90,106,119,128,105,91,84,62,38,57,32,33,27,23,36,27,30,23,46,47,67,65,48,43,43,28,14,27,12,23,11,14,29,45,32,43,44,59,52,63,57,48,41,34,24,30,20,10,16,9,78,77,60,67,82,126,124,132,120,108,95,69,48,49,37,31,32,20,43,30,25,29,38,61,61,68,51,58,49,28,21,21,15,20,16,13,35,47,35,38,44,65,63,64,69,50,46,41,27,28,22,11,16,7,80,97,63,64,80,125,132,137,138,123,91,81,53,46,44,31,35,24,47,37,28,27,34,62,66,67,65,66,46,35,25,20,16,18,19,15,33,60,35,37,46,63,66,70,73,57,45,46,28,26,28,13,16,9,85,99,73,67,78,117,161,130,160,131,94,86,60,50,47,33,36,28,45,42,34,28,28,59,81,59,76,71,43,41,25,24,18,17,20,17,40,57,39,39,50,58,80,71,84,60,51,45,35,26,29,16,16,11,82,97,69,84,90,118,158,145,167,132,107,97,70,47,54,32,36,29,42,45,30,34,36,59,66,77,78,67,49,51,27,20,27,15,20,17,40,52,39,50,54,59,92,68,89,65,58,46,43,27,27,17,16,12,93,91,84,76,91,104,158,157,167,136,117,101,75,44,53,32,35,36,46,47,36,33,33,54,71,83,81,63,58,52,31,21,23,13,24,20,47,44,48,43,58,50,87,74,86,73,59,49,44,23,30,19,11,16,92,97,93,68,91,89,154,154,165,138,126,106,83,53,51,34,32,37,47,48,41,30,36,45,71,75,86,60,67,55,32,24,22,16,20,22,45,49,52,38,55,44,83,79,79,78,59,51,51,29,29,18,12,15,87,99,103,75,86,98,143,157,172,155,136,98,89,59,49,37,31,38,39,55,44,35,33,46,70,76,84,73,74,49,38,28,21,14,18,22,48,44,59,40,53,52,73,81,88,82,62,49,51,31,28,23,13,16,82,93,102,73,78,94,126,164,146,167,141,102,94,67,53,44,29,41,47,49,45,35,32,42,63,82,72,80,78,48,43,30,23,18,15,27,35,44,57,38,46,52,63,82,74,87,63,54,51,37,30,26,14,14,77,93,99,80,83,86,120,163,149,172,136,107,101,75,52,50,25,43,41,50,48,35,36,39,58,73,84,82,68,48,53,29,21,24,12,28,36,43,51,45,47,47,62,90,65,90,68,59,48,46,31,26,13,15,70,92,90,91,69,92,122,155,148,173,138,120,100,77,47,52,24,45,38,47,48,38,30,40,62,70,84,82,63,61,49,34,20,22,9,32,32,45,42,53,39,52,60,85,64,91,75,59,51,43,27,30,15,13,73,97,93,96,74,89,113,147,152,167,148,132,106,80,57,52,27,41,39,47,50,43,29,38,56,67,73,85,65,69,53,36,24,22,13,27,34,50,43,53,45,51,57,80,79,82,83,63,53,44,33,30,14,14,75,80,96,94,80,69,113,143,148,158,164,140,99,89,56,47,33,36,38,34,58,38,34,28,56,66,72,82,75,74,44,40,27,20,14,25,37,46,38,56,46,41,57,77,76,76,89,66,55,49,29,27,19,11,68,79,92,97,81,69,103,126,168,144,167,146,107,90,61,46,32,37,36,40,50,41,38,27,49,59,80,73,79,78,49,40,26,20,13,26,32,39,42,56,43,42,54,67,88,71,88,68,58,50,35,26,19,11,69,77,94,97,80,73,102,121,173,141,161,136,115,97,70,42,38,37,33,42,49,50,36,30,51,60,74,80,79,67,50,50,25,19,19,24,36,35,45,47,44,43,51,61,99,61,82,69,65,47,45,23,19,13,68,78,102,88,88,71,94,121,158,148,164,155,118,99,73,44,42,37,31,44,51,51,37,28,42,63,77,75,79,70,60,48,31,19,19,25,37,34,51,37,51,43,52,58,81,73,85,85,58,51,42,25,23,12,67,91,99,91,91,75,82,121,162,155,165,155,126,103,79,51,42,33,31,49,46,48,43,30,40,58,81,72,82,70,65,49,34,21,20,24,36,42,53,43,48,45,42,63,81,83,83,85,61,54,45,30,22,9,66,90,101,106,91,71,70,127,162,165,162,162,144,98,91,48,43,37,34,44,41,63,38,30,34,63,77,84,79,79,74,44,39,24,18,23,32,46,60,43,53,41,36,64,85,81,83,83,70,54,52,24,25,14,67,82,107,99,94,82,74,115,146,183,150,161,151,100,97,58,44,38,37,43,47,52,39,41,31,60,68,91,76,81,74,48,44,28,20,23,30,39,60,47,55,41,43,55,78,92,74,80,77,52,53,30,24,15,68,80,99,120,138,121,135,139,129,90,96,84,101,116,124,73,61,37,39,32,46,60,67,63,66,67,47,41,46,45,49,61,74,42,32,25,29,48,53,60,70,58,68,71,83,49,50,40,52,55,50,32,29,12,41,65,102,106,130,116,134,125,137,92,93,80,95,109,110,91,64,49,25,30,45,50,62,64,64,53,60,40,43,38,48,59,57,58,33,34,16,35,57,56,68,52,70,72,77,52,50,42,47,50,53,33,31,15,46,66,89,108,138,125,123,132,141,108,94,83,97,107,111,98,60,61,32,28,39,54,64,64,63,57,63,43,44,39,48,59,54,64,35,38,14,38,50,54,75,61,60,75,79,65,50,43,49,47,57,33,25,23,36,65,80,101,136,133,130,126,149,113,103,87,89,102,106,105,56,66,20,36,35,44,69,69,60,55,71,47,37,41,45,52,56,70,34,41,16,29,45,57,67,64,70,71,78,66,66,46,44,50,50,35,22,25,54,65,79,94,118,144,134,128,139,126,104,96,85,97,106,110,57,60,27,39,28,44,54,66,66,58,68,48,45,44,44,47,56,70,34,40,27,26,51,50,64,78,68,70,71,78,59,52,41,50,50,40,23,20,75,64,81,96,127,147,140,154,147,144,104,107,83,105,102,103,66,55,36,41,32,40,60,69,78,75,64,59,46,50,42,51,53,66,42,31,39,23,49,56,67,78,62,79,83,85,58,57,41,54,49,37,24,24,74,70,76,100,126,144,137,146,150,143,111,114,79,103,105,97,75,56,33,38,38,42,61,64,78,73,62,63,46,54,38,52,57,58,51,34,41,32,38,58,65,80,59,73,88,80,65,60,41,51,48,39,24,22,72,73,80,91,115,159,147,143,157,149,122,110,82,100,108,94,78,57,29,41,39,38,58,78,75,75,65,64,50,53,42,49,60,52,55,37,43,32,41,53,57,81,72,68,92,85,72,57,40,51,48,42,23,20,75,67,84,88,105,155,144,153,151,154,128,124,91,88,111,94,81,63,25,35,45,36,44,82,77,79,65,72,51,53,46,45,57,54,59,42,50,32,39,52,61,73,67,74,86,82,77,71,45,43,54,40,22,21,88,69,81,86,109,147,166,164,159,148,146,124,107,86,105,100,84,57,33,33,48,32,49,72,86,83,73,72,55,57,52,46,50,56,59,41,55,36,33,54,60,75,80,81,86,76,91,67,55,40,55,44,25,16,90,73,74,95,106,149,163,166,171,164,155,119,117,85,109,96,81,60,39,34,43,44,42,73,79,91,80,73,64,54,59,43,55,56,53,42,51,39,31,51,64,76,84,75,91,91,91,65,58,42,54,40,28,18,85,79,81,92,123,149,172,173,176,165,165,123,127,80,107,99,79,66,38,37,42,42,49,68,80,95,87,72,67,57,62,39,55,57,50,52,47,42,39,50,74,81,92,78,89,93,98,66,65,41,52,42,29,14,89,84,75,83,112,126,173,174,171,166,173,132,121,93,98,105,74,73,41,37,44,37,44,64,84,82,94,78,74,56,57,46,48,62,46,58,48,47,31,46,68,62,89,92,77,88,99,76,64,47,50,43,28,15,76,94,70,89,108,122,167,162,178,172,169,136,130,106,84,101,74,79,41,39,37,46,43,53,79,76,94,81,79,57,58,52,41,58,46,65,35,55,33,43,65,69,88,86,84,91,90,79,72,54,43,43,28,14,73,89,77,83,112,109,144,181,168,176,154,156,124,121,81,95,77,81,35,37,41,46,45,50,67,82,82,85,74,63,58,59,42,52,49,63,38,52,36,37,67,59,77,99,86,91,80,93,66,62,39,43,28,18,63,99,86,83,100,115,149,163,158,188,165,153,122,129,81,97,80,84,28,41,42,47,50,45,74,74,80,91,75,64,58,65,41,53,49,65,35,58,44,36,50,70,75,89,78,97,90,89,64,64,40,44,31,19,67,89,90,79,103,132,136,158,164,184,165,160,124,131,83,89,82,86,31,45,42,45,50,56,64,71,82,88,78,69,62,65,41,48,49,65,36,44,48,34,53,76,72,87,82,96,87,91,62,66,42,41,33,21,67,87,99,76,102,120,122,160,167,175,176,166,125,122,91,87,80,85,32,40,44,46,47,53,56,74,75,95,82,73,57,59,49,46,50,64,35,47,55,30,55,67,66,86,92,80,94,93,68,63,42,41,30,21,71,93,102,74,98,119,118,166,159,180,183,157,142,120,100,77,76,90,27,45,45,42,50,56,49,88,72,95,87,76,62,53,52,40,46,67,44,48,57,32,48,63,69,78,87,85,96,81,80,67,48,37,30,23,63,86,97,81,85,112,123,158,166,168,178,155,159,114,108,71,75,92,24,41,41,46,49,49,56,77,78,85,91,76,66,52,57,40,44,64,39,45,56,35,36,63,67,81,88,83,87,79,93,62,51,31,31,28,58,83,102,89,78,94,131,154,173,158,178,167,162,116,109,69,80,97,22,39,48,47,44,43,61,73,78,85,87,79,71,53,58,39,45,65,36,44,54,42,34,51,70,81,95,73,91,88,91,63,51,30,35,32,65,83,102,92,78,81,130,146,171,159,177,175,165,125,104,74,84,97,24,36,51,45,47,37,56,71,78,82,86,82,71,58,55,41,46,68,41,47,51,47,31,44,74,75,93,77,91,93,94,67,49,33,38,29,71,73,103,99,82,84,116,137,175,166,172,173,170,138,99,79,76,90,34,34,52,46,48,38,51,66,79,77,95,81,77,59,49,46,42,67,37,39,51,53,34,46,65,71,96,89,77,92,93,79,50,33,34,23,64,70,94,102,79,97,106,129,172,165,185,177,171,147,108,88,69,83,39,29,51,48,45,49,48,57,84,76,96,89,88,63,46,51,37,62,25,41,43,54,34,48,58,72,88,89,89,88,83,84,62,37,32,21,71,72,87,104,96,87,103,134,157,180,176,180,173,153,117,96,65,93,37,30,46,48,57,50,38,62,74,88,83,94,89,65,55,56,37,68,34,42,41,56,39,37,65,72,83,92,93,86,84,88,62,40,28,25,74,67,90,102,96,94,94,130,170,181,176,183,178,167,116,92,66,94,42,25,44,48,54,51,42,55,79,86,88,93,88,74,52,50,42,65,32,42,46,54,42,43,52,75,91,95,88,90,90,93,64,42,24,29,9,25,35,44,46,44,30,27,39,43,52,40,38,44,42,40,46,22,4,8,16,24,24,15,17,11,19,11,24,17,17,21,19,18,24,15,5,17,19,20,22,29,13,16,20,32,28,23,21,23,23,22,22,7,10,18,40,34,52,37,36,34,28,44,50,38,39,36,45,32,46,26,5,5,20,15,32,12,17,13,14,14,22,18,15,18,16,15,23,18,5,13,20,19,20,25,19,21,14,30,28,20,24,18,29,17,23,8,8,17,33,35,49,35,40,41,23,40,46,49,40,41,43,29,45,26,4,4,15,15,29,14,18,16,11,16,14,25,19,16,19,13,23,18,4,13,18,20,20,21,22,25,12,24,32,24,21,25,24,16,22,8,12,13,26,31,55,36,41,39,27,41,45,52,39,38,41,32,39,28,5,3,12,13,30,17,15,16,10,18,14,25,17,17,18,14,16,20,7,10,14,18,25,19,26,23,17,23,31,27,22,21,23,18,23,8,15,8,26,32,45,42,40,34,30,35,41,54,40,41,36,39,29,33,5,4,9,13,25,19,16,17,11,17,11,25,17,18,17,17,14,20,10,4,17,19,20,23,24,17,19,18,30,29,23,23,19,22,15,13,11,8,20,33,39,41,41,33,27,34,46,47,40,39,40,41,23,35,3,5,5,13,21,22,15,14,11,16,14,20,20,15,20,18,11,19,8,3,15,20,18,19,26,19,16,18,32,27,20,24,20,23,12,16,11,8,14,35,29,47,32,35,26,26,44,51,37,40,33,40,22,31,3,5,3,15,13,27,10,16,10,13,15,22,18,15,18,15,12,17,8,3,11,20,16,20,22,19,16,13,29,29,19,25,15,25,10,14,15,6,16,28,31,47,32,35,36,20,41,46,50,39,38,34,24,31,5,4,3,12,14,26,12,15,15,9,17,14,26,18,16,16,10,19,10,2,13,16,17,21,20,20,21,11,24,32,24,21,22,18,14,12,15,9,12,21,30,51,33,35,34,20,40,45,49,40,34,32,25,33,5,5,2,10,14,29,13,12,13,8,18,14,23,18,15,14,11,20,10,4,10,11,16,22,20,23,21,12,22,31,26,22,19,18,14,13,11,12,7,23,29,41,39,38,29,27,35,40,53,41,37,31,28,26,4,5,3,8,14,24,15,13,13,11,17,11,24,17,16,15,9,17,7,7,4,15,15,17,24,25,16,16,18,29,29,24,21,16,19,9,15,12,7,20,30,33,41,40,28,29,34,45,45,40,36,35,27,29,6,2,5,6,14,21,17,14,11,12,16,14,18,20,13,18,9,17,9,10,2,14,16,12,24,26,17,17,18,31,27,20,23,17,18,12,13,13,8,15,31,28,43,37,31,32,25,42,48,37,37,31,32,29,7,2,5,2,16,16,20,14,12,13,12,15,19,18,13,17,9,18,6,11,3,13,15,12,23,23,19,19,13,27,29,19,24,14,23,11,9,13,8,14,31,32,39,35,35,35,23,36,43,47,36,34,29,26,5,3,5,2,15,17,21,13,14,14,11,15,13,23,16,14,12,14,4,10,3,12,16,15,18,22,21,21,12,21,30,24,20,20,17,12,12,9,12,14,18,34,41,31,39,30,24,35,46,44,39,32,30,27,8,2,6,2,8,16,22,12,12,11,10,16,15,20,17,14,15,15,4,7,6,12,10,18,19,19,27,19,14,19,31,24,22,18,15,12,13,7,14,8,20,36,40,40,38,24,27,34,40,48,37,35,25,29,8,4,5,3,6,15,24,16,13,12,11,17,11,21,17,15,12,14,5,3,9,5,14,21,16,24,25,12,16,17,29,27,20,20,13,15,15,10,13,7,20,37,36,45,40,27,27,35,45,41,37,36,27,24,9,6,3,5,6,14,20,22,13,12,12,17,13,17,19,13,14,13,6,4,10,2,14,23,16,23,27,15,15,18,32,24,18,23,13,11,13,13,10,10,16,35,30,48,35,31,28,32,45,44,33,32,22,29,9,8,1,7,4,15,10,27,12,14,12,14,17,17,17,12,12,14,4,5,9,3,12,20,20,21,23,17,16,18,28,27,16,20,10,15,16,10,14,8,18,31,28,46,33,33,34,27,38,45,39,35,23,29,9,6,5,4,4,12,9,28,10,14,15,11,17,12,22,16,10,15,7,4,9,4,14,19,19,18,23,19,19,16,21,33,17,19,13,14,12,13,12,12,14,22,27,44,37,36,32,30,36,44,41,35,24,27,6,9,5,6,2,7,9,25,13,12,13,11,17,15,20,16,11,16,6,4,7,6,12,15,18,19,24,24,19,19,19,29,21,19,13,11,14,14,7,14,9,22,30,36,42,39,29,30,34,39,44,31,23,23,6,8,5,6,4,4,11,20,18,13,12,11,18,12,19,15,10,13,8,6,2,8,5,18,19,16,24,26,17,19,16,27,25,16,13,10,9,16,8,13,12,18,30,28,43,41,31,29,34,46,38,32,23,21,5,9,6,3,6,3,10,15,23,12,12,11,18,15,16,17,9,10,4,7,2,10,6,15,20,13,20,29,19,18,16,31,22,15,14,11,9,15,15,12,11,21,30,26,43,33,34,33,32,44,43,26,26,17,6,9,9,2,7,3,11,11,24,10,14,14,16,17,19,13,10,8,3,6,6,10,4,18,19,15,19,23,20,19,16,27,24,13,16,9,5,18,13,12,10,16,25,24,43,32,39,36,24,42,37,35,26,15,4,10,6,5,6,3,6,11,24,11,15,16,10,20,12,20,12,8,1,8,7,7,4,13,19,13,19,21,24,20,14,22,25,15,14,7,8,16,12,13,12,14,17,27,39,36,39,38,25,37,41,35,28,15,6,8,8,6,6,3,4,10,23,13,14,16,9,17,15,19,13,10,2,8,4,7,6,11,13,17,16,23,25,22,16,20,26,16,15,5,7,17,13,11,17,11,23,31,30,42,39,36,34,36,40,36,26,21,5,8,7,7,5,3,7,12,15,19,14,15,11,18,12,18,13,12,2,9,6,4,12,8,16,19,15,23,25,21,23,18,28,18,13,9,10,9,16,10,16,9,25,37,26,43,40,35,36,35,44,29,27,24,7,4,8,6,4,4,10,13,12,20,13,15,12,19,13,14,12,14,3,5,8,4,12,5,15,24,14,23,27,20,24,16,31,15,15,10,540,629,878,1108,1044,1073,1106,1118,1003,877,646,544,616,603,488,425,256,54,266,300,422,555,490,543,553,552,497,428,308,274,321,326,283,277,165,43,274,329,455,553,555,530,554,566,506,449,338,269,295,278,205,149,91,11,398,603,766,1085,1047,1032,1118,1109,1059,931,712,524,602,606,525,420,272,111,196,297,382,554,504,516,586,540,542,462,362,273,301,341,296,268,181,81,202,306,384,531,543,516,532,569,517,469,350,251,301,265,229,152,91,30,361,599,738,1050,1086,1103,1164,1142,1132,942,765,557,612,593,566,405,300,148,171,311,370,524,547,552,583,581,564,481,385,286,312,318,323,256,198,112,190,288,369,525,538,550,581,561,568,461,380,271,300,275,243,149,102,36,287,580,710,993,1121,1148,1172,1156,1146,968,814,585,569,608,575,391,335,190,136,300,365,493,568,567,598,577,577,480,408,298,288,328,323,245,225,136,151,280,345,500,553,581,574,579,569,488,406,287,281,280,252,146,110,54,360,590,686,940,1175,1242,1245,1181,1162,1006,872,621,550,618,562,443,324,221,175,307,352,467,609,597,628,598,564,503,436,307,283,341,308,281,225,152,185,283,334,473,566,645,617,583,598,503,436,314,267,277,254,162,99,69,542,524,665,871,1198,1320,1319,1250,1168,1068,892,674,531,619,550,469,318,224,279,256,337,447,620,636,665,617,577,535,446,329,282,320,315,285,208,156,263,268,328,424,578,684,654,633,591,533,446,345,249,299,235,184,110,68,641,500,684,837,1182,1385,1419,1264,1196,1120,935,720,524,604,579,475,322,254,319,244,346,421,632,708,679,634,575,572,457,361,281,305,330,284,213,184,322,256,338,416,550,677,740,630,621,548,478,359,243,299,249,191,109,70,765,617,677,812,1128,1454,1584,1387,1231,1185,954,788,574,603,571,506,313,275,374,297,343,407,580,763,775,663,607,574,486,391,298,309,317,299,212,201,391,320,334,405,548,691,809,724,624,611,468,397,276,294,254,207,101,74,818,604,658,781,1079,1465,1612,1429,1291,1189,992,835,610,560,592,498,320,302,398,290,331,399,548,781,794,702,632,590,494,415,316,292,328,292,213,225,420,314,327,382,531,684,818,727,659,599,498,420,294,268,264,206,107,77,867,666,652,729,1024,1492,1652,1524,1320,1204,1037,914,639,536,596,511,351,318,412,328,325,361,510,816,815,747,661,581,525,464,318,285,335,286,233,235,455,338,327,368,514,676,837,777,659,623,512,450,321,251,261,225,118,83,935,695,655,717,964,1460,1722,1593,1389,1214,1105,930,693,521,603,520,362,315,443,348,316,356,499,783,862,782,679,596,562,478,332,289,327,304,235,231,492,347,339,361,465,677,860,811,710,618,543,452,361,232,276,216,127,84,1008,753,659,750,970,1505,1783,1676,1440,1248,1183,983,745,518,582,552,387,323,490,384,318,360,502,811,879,816,715,598,608,497,377,287,310,322,243,237,518,369,341,390,468,694,904,860,725,650,575,486,368,231,272,230,144,86,1044,819,676,750,923,1397,1846,1724,1502,1253,1223,985,809,556,574,529,417,333,488,415,328,376,466,718,942,836,703,627,598,516,413,299,303,305,265,245,556,404,348,374,457,679,904,888,799,626,625,469,396,257,271,224,152,88,1092,857,679,696,869,1325,1829,1767,1550,1302,1229,1028,860,606,538,535,413,370,521,417,333,343,436,671,948,852,742,629,610,524,448,325,288,310,252,272,571,440,346,353,433,654,881,915,808,673,619,504,412,281,250,225,161,98,1078,862,741,713,816,1236,1817,1782,1599,1337,1230,1057,914,639,501,542,422,389,519,417,376,348,413,613,959,846,767,661,591,549,480,332,278,324,253,281,559,445,365,365,403,623,858,936,832,676,639,508,434,307,223,218,169,108,1076,958,758,704,781,1174,1751,1876,1611,1383,1239,1134,935,691,489,543,429,406,516,465,391,342,378,607,896,910,783,664,603,589,485,344,287,307,266,292,560,493,367,362,403,567,855,966,828,719,636,545,450,347,202,236,163,114,1047,1037,779,674,784,1085,1655,1862,1692,1408,1240,1180,961,726,490,525,452,408,533,493,396,335,369,565,875,907,801,696,582,618,496,379,282,291,282,296,514,544,383,339,415,520,780,955,891,712,658,562,465,347,208,234,170,112,1031,1067,845,689,793,1005,1575,1927,1743,1489,1259,1201,961,786,528,521,428,434,535,506,419,340,390,511,816,961,837,707,627,598,510,408,293,291,267,312,496,561,426,349,403,494,759,966,906,782,632,603,451,378,235,230,161,122,989,1084,896,728,714,951,1448,1865,1790,1540,1294,1224,994,819,580,481,446,454,504,515,441,373,348,485,752,950,852,741,634,601,521,431,322,276,269,328,485,569,455,355,366,466,696,915,938,799,660,623,473,388,258,205,177,126,933,1099,877,750,714,905,1263,1797,1793,1587,1316,1185,1031,863,611,465,467,478,485,526,424,384,352,467,642,950,859,762,657,573,539,465,324,270,287,341,448,573,453,366,362,438,621,847,934,825,659,612,492,398,287,195,180,137,887,1051,979,762,707,818,1182,1698,1827,1592,1384,1194,1095,869,642,455,477,501,448,504,474,382,351,406,613,877,914,777,673,590,570,464,334,276,274,370,439,547,505,380,356,412,569,821,913,815,711,604,525,405,308,179,203,131,832,1021,1047,794,678,824,1101,1640,1766,1654,1390,1220,1125,923,673,450,446,524,411,508,511,398,334,401,561,852,876,793,686,588,592,485,364,270,257,381,421,513,536,396,344,423,540,788,890,861,704,632,533,438,309,180,189,143,769,978,1071,844,687,814,1020,1507,1839,1660,1450,1217,1152,925,722,488,422,546,369,502,502,418,336,410,505,774,935,810,698,617,580,499,387,280,245,391,400,476,569,426,351,404,515,733,904,850,752,600,572,426,335,208,177,155,733,950,1077,877,709,733,999,1429,1794,1721,1466,1267,1162,952,774,533,388,570,357,482,511,424,360,356,500,724,916,834,723,632,590,511,412,305,232,403,376,468,566,453,349,377,499,705,878,887,743,635,572,441,362,228,156,167,662,916,1093,901,756,739,973,1284,1816,1722,1503,1279,1147,998,819,546,389,573,326,475,515,429,381,362,491,635,961,830,743,647,575,537,444,306,236,399,336,441,578,472,375,377,482,649,855,892,760,632,572,461,375,240,153,174,612,897,1059,981,793,753,883,1238,1701,1811,1514,1341,1170,1041,844,573,370,572,310,456,504,465,413,370,414,637,865,899,752,667,590,563,454,315,232,386,302,441,555,516,380,383,469,601,836,912,762,674,580,478,390,258,138,186,58,69,118,185,200,150,140,164,131,148,127,123,152,133,120,89,66,39,26,29,58,83,87,64,75,75,63,72,59,68,73,62,71,50,39,22,32,40,60,102,113,86,65,89,68,76,68,55,79,71,49,39,27,17,65,64,95,172,202,182,144,159,156,135,135,123,135,158,111,84,73,44,32,29,43,83,93,76,75,81,69,67,66,61,68,74,63,47,47,27,33,35,52,89,109,106,69,78,87,68,69,62,67,84,48,37,26,17,71,71,90,151,193,208,143,154,168,132,137,127,122,160,114,90,79,41,43,32,40,70,91,95,69,76,76,72,64,62,65,77,64,54,46,26,28,39,50,81,102,113,74,78,92,60,73,65,57,83,50,37,33,15,89,77,88,141,198,202,167,161,170,147,144,131,113,152,124,102,75,53,49,37,37,73,83,91,84,82,75,73,72,57,60,78,67,58,43,36,40,40,51,68,115,111,83,79,95,74,72,74,53,74,57,44,32,17,110,81,83,132,205,205,181,164,190,139,159,127,128,156,123,106,67,55,59,42,35,68,93,87,87,82,90,64,78,57,68,83,56,62,39,39,51,39,48,64,112,118,94,82,100,75,81,70,60,73,67,44,28,16,115,85,79,133,200,231,189,170,194,165,157,131,128,152,134,102,63,62,63,46,31,65,88,104,87,93,95,75,74,62,69,75,66,61,38,42,52,39,48,68,112,127,102,77,99,90,83,69,59,77,68,41,25,20,126,92,80,106,189,231,222,173,198,182,156,150,125,150,143,100,64,59,68,53,35,45,93,112,93,97,100,81,73,75,63,77,67,61,39,39,58,39,45,61,96,119,129,76,98,101,83,75,62,73,76,39,25,20,134,107,100,110,182,273,267,210,192,219,159,170,137,144,148,105,74,62,58,61,46,45,87,132,119,102,93,99,86,77,66,74,69,61,47,41,76,46,54,65,95,141,148,108,99,120,73,93,71,70,79,44,27,21,142,122,103,109,180,291,308,231,208,218,172,170,146,132,150,105,84,64,68,61,47,45,88,141,137,114,97,99,90,81,70,71,70,59,50,46,74,61,56,64,92,150,171,117,111,119,82,89,76,61,80,46,34,18,150,132,117,97,177,334,348,271,218,244,171,189,147,141,147,103,92,61,72,63,57,38,85,162,149,126,106,113,84,96,67,76,74,51,58,44,78,69,60,59,92,172,199,145,112,131,87,93,80,65,73,52,34,17,188,139,135,99,183,346,420,299,236,246,202,193,164,141,155,116,84,61,89,68,68,44,85,167,191,128,114,114,96,93,79,75,78,56,54,45,99,71,67,55,98,179,229,171,122,132,106,100,85,66,77,60,30,16,221,145,139,105,170,331,471,352,258,240,227,196,187,135,159,126,83,68,105,76,70,45,78,159,217,148,127,106,101,102,89,70,80,61,56,49,116,69,69,60,92,172,254,204,131,134,126,94,98,65,79,65,27,19,234,163,137,125,157,306,474,416,295,234,257,200,203,152,145,127,83,76,122,76,66,57,69,153,219,182,132,103,118,107,92,75,77,58,54,54,112,87,71,68,88,153,255,234,163,131,139,93,111,77,68,69,29,22,252,189,141,132,147,310,498,446,316,257,275,214,207,168,133,130,89,84,131,92,61,64,73,144,238,195,148,110,123,111,98,80,72,60,56,58,121,97,80,68,74,166,260,251,168,147,152,103,109,88,61,70,33,26,255,194,162,146,141,270,497,475,347,259,282,210,219,166,136,127,94,94,135,93,77,70,63,130,231,215,148,117,130,105,103,78,72,66,50,67,120,101,85,76,78,140,266,260,199,142,152,105,116,88,64,61,44,27,263,212,158,149,132,255,462,500,364,278,278,231,214,167,132,134,96,93,135,99,82,72,60,123,209,228,157,129,133,110,95,81,70,73,48,69,128,113,76,77,72,132,253,272,207,149,145,121,119,86,62,61,48,24,248,224,162,148,134,213,387,510,387,303,267,250,207,178,130,131,104,95,126,105,82,73,60,92,182,241,167,137,121,118,101,86,67,70,52,68,122,119,80,75,74,121,205,269,220,166,146,132,106,92,63,61,52,27,245,227,169,167,130,187,316,507,434,315,261,264,201,186,142,120,104,105,120,114,76,84,63,85,144,242,195,132,123,125,105,83,72,69,49,72,125,113,93,83,67,102,172,265,239,183,138,139,96,103,70,51,55,33,226,233,197,149,143,187,296,487,452,341,273,266,203,195,151,109,105,114,114,124,90,70,70,91,131,233,204,149,121,119,108,89,73,63,53,74,112,109,107,79,73,96,165,254,248,192,152,147,95,106,78,46,52,40,213,254,189,168,149,163,264,463,465,356,268,290,194,203,153,124,95,113,108,131,84,83,72,75,129,229,213,154,116,140,98,94,72,67,53,70,105,123,105,85,77,88,135,234,252,202,152,150,96,109,81,57,42,43,199,251,207,169,153,152,236,418,480,370,286,285,229,203,156,122,106,110,101,136,97,85,75,71,107,208,216,154,128,137,106,93,78,64,59,67,98,115,110,84,78,81,129,210,264,216,158,148,123,110,78,58,47,43,205,230,234,171,165,150,218,364,507,396,312,264,249,208,167,118,116,112,98,120,117,83,77,74,101,178,235,169,143,120,118,101,80,61,65,68,107,110,117,88,88,76,117,186,272,227,169,144,131,107,87,57,51,44,177,239,251,181,174,160,214,314,500,430,331,261,267,205,174,133,111,124,80,127,136,80,84,82,103,151,242,188,144,122,123,105,81,68,67,76,97,112,115,101,90,78,111,163,258,242,187,139,144,100,93,65,44,48,170,220,260,205,184,170,199,289,496,447,356,266,273,212,186,149,104,133,74,116,137,90,90,83,101,139,246,205,155,124,126,116,87,74,62,82,96,104,123,115,94,87,98,150,250,242,201,142,147,96,99,75,42,51,164,220,263,208,186,177,193,276,489,460,399,272,296,214,198,152,111,121,73,107,138,95,95,86,95,139,244,212,174,127,143,111,93,79,63,73,91,113,125,113,91,91,98,137,245,248,225,145,153,103,105,73,48,48,148,231,252,226,192,199,197,271,438,490,419,301,295,250,193,147,115,139,63,110,131,107,91,88,101,130,224,224,184,146,146,118,91,85,61,87,85,121,121,119,101,111,96,141,214,266,235,155,149,132,102,62,54,52,28,38,63,58,68,62,77,81,74,51,40,38,54,71,53,40,30,29,14,18,27,38,33,27,38,42,38,26,23,23,28,36,30,20,21,19,14,20,36,20,35,35,39,39,36,25,17,15,26,35,23,20,9,10,24,37,52,64,60,66,67,88,72,53,49,30,47,70,54,39,34,26,8,21,23,39,28,26,36,41,34,30,26,21,24,39,26,22,23,15,16,16,29,25,32,40,31,47,38,23,23,9,23,31,28,17,11,11,23,27,50,71,68,66,63,78,73,64,47,33,42,69,49,49,35,28,10,13,23,39,32,29,30,37,38,31,26,19,23,36,28,28,22,16,13,14,27,32,36,37,33,41,35,33,21,14,19,33,21,21,13,12,23,31,43,65,61,67,59,77,78,63,51,33,42,58,53,51,32,35,12,12,19,33,34,29,24,40,39,30,25,21,21,35,27,27,21,21,11,19,24,32,27,38,35,37,39,33,26,12,21,23,26,24,11,14,21,29,39,65,58,64,55,66,77,66,54,39,40,51,65,46,31,36,10,12,19,30,36,25,20,34,42,31,27,22,22,27,34,27,18,23,11,17,20,35,22,39,35,32,35,35,27,17,18,24,31,19,13,13,19,30,36,54,59,65,58,60,77,71,44,49,34,46,67,43,35,38,9,13,17,24,33,28,23,33,38,32,24,28,20,27,33,23,22,24,10,17,19,30,26,37,35,27,39,39,20,21,14,19,34,20,13,14,16,24,36,45,55,60,54,52,69,75,49,46,32,41,66,42,30,33,9,7,19,18,30,25,22,29,34,33,26,24,20,23,36,22,18,22,7,17,17,27,25,35,32,23,35,42,23,22,12,18,30,20,12,11,16,22,26,51,58,55,52,51,61,67,61,43,36,37,65,40,35,35,7,8,12,22,29,21,27,28,33,34,28,25,18,22,34,23,23,21,9,14,14,29,29,34,25,23,28,33,33,18,18,15,31,17,12,14,12,21,28,47,61,50,55,47,61,74,58,49,34,38,54,45,35,36,5,10,10,21,29,24,27,23,35,38,28,25,21,20,32,23,23,22,7,11,18,26,32,26,28,24,26,36,30,24,13,18,22,22,12,14,18,17,26,38,62,50,56,44,54,73,65,50,41,38,45,55,33,35,9,6,11,16,28,29,25,20,30,40,32,25,24,20,26,29,23,23,9,11,15,22,34,21,31,24,24,33,33,25,17,18,19,26,10,12,18,17,25,37,50,59,60,45,52,72,69,46,47,32,40,55,32,38,9,5,10,16,22,29,29,23,29,36,33,26,28,19,24,28,20,26,9,12,15,21,28,30,31,22,23,36,36,20,19,13,16,27,12,12,20,17,24,37,46,59,52,52,55,63,77,50,44,31,38,56,35,31,8,6,8,19,16,30,27,23,31,34,34,27,26,19,21,31,19,23,12,11,16,18,30,29,25,29,24,29,43,23,18,12,17,25,16,8,24,19,25,27,53,59,59,49,58,59,65,67,41,35,35,57,33,40,12,7,7,14,22,26,26,28,31,32,31,31,25,18,20,30,20,29,12,12,18,13,31,33,33,21,27,27,34,36,16,17,15,27,13,11,25,16,25,28,47,49,49,58,50,59,70,65,47,33,38,49,39,41,11,6,11,10,21,18,24,32,24,33,35,30,25,21,20,28,20,28,14,10,14,18,26,31,25,26,26,26,35,35,22,12,18,21,19,13,16,22,21,29,38,51,44,56,49,52,70,71,49,39,37,41,46,39,9,10,7,11,16,19,22,28,24,25,39,34,25,22,22,24,23,28,7,12,14,18,22,32,22,28,25,27,31,37,24,17,15,17,23,11,18,21,18,28,32,48,43,59,46,51,70,71,49,48,30,34,48,44,10,10,6,11,12,21,18,31,25,27,35,33,27,25,20,21,23,32,8,11,12,17,20,27,25,28,21,24,35,38,22,23,10,13,25,12,19,22,14,26,37,41,46,47,46,54,61,76,54,45,30,34,43,44,10,10,5,8,18,16,20,23,22,30,32,34,29,24,18,21,23,31,9,12,9,18,19,25,26,24,24,24,29,42,25,21,12,13,20,13,21,23,18,24,26,44,43,52,45,59,58,65,69,43,31,33,45,36,10,11,7,8,13,19,16,24,26,33,30,33,32,25,14,22,24,26,11,12,11,16,13,25,27,28,19,26,28,32,37,18,17,11,21,10,20,21,17,23,29,36,49,43,53,50,57,71,66,50,30,34,41,38,9,9,6,10,11,14,20,25,26,29,31,35,31,26,17,22,23,25,11,12,11,13,18,22,29,18,27,21,26,36,35,24,13,12,18,13,17,18,20,20,27,31,52,42,48,45,52,71,66,51,40,34,33,43,9,7,9,6,11,12,20,24,23,25,26,38,31,28,21,21,18,27,8,11,11,14,16,19,32,18,25,20,26,33,35,23,19,13,15,16,18,14,18,15,26,29,42,42,54,41,52,72,66,46,44,28,30,50,10,6,9,5,10,11,17,20,26,23,28,34,30,26,24,19,18,27,8,8,9,10,16,18,25,22,28,18,24,38,36,20,20,9,12,23,11,19,19,12,23,33,36,43,45,43,57,67,71,51,42,26,30,52,5,9,7,5,7,16,14,20,21,21,34,32,31,27,23,17,19,29,6,10,12,7,16,17,22,23,24,22,23,35,40,24,19,9,11,23,14,16,21,16,21,30,33,43,47,44,60,61,63,61,40,29,29,50,6,9,8,7,7,16,12,15,23,23,36,31,31,27,23,14,21,28,8,7,13,9,14,14,21,28,24,21,24,30,32,34,17,15,8,22,14,12,21,14,18,35,31,42,43,50,53,62,67,58,45,26,30,51,6,6,9,5,7,14,12,14,25,24,29,33,33,25,24,16,21,30,8,6,12,9,11,21,19,28,18,26,24,29,34,33,21,10,9,21,13,13,17,20,21,31,31,43,44,45,48,55,69,61,46,34,30,50,4,8,7,8,7,12,14,14,26,21,24,30,37,27,24,20,20,31,9,5,10,12,14,19,17,29,18,24,24,25,32,34,22,14,10,19,15,13,18,19,18,32,29,39,40,55,42,55,69,62,42,40,25,50,6,7,8,8,6,11,12,16,17,29,21,31,33,27,22,24,18,32,9,6,10,11,12,21,17,23,23,26,21,24,36,35,20,16,7,18,75,102,93,104,110,135,141,121,110,100,88,95,87,107,108,65,44,23,33,54,42,50,50,63,68,59,53,44,48,45,42,58,58,33,19,19,42,48,51,54,60,72,72,62,57,56,40,50,45,49,50,32,25,4,44,97,89,102,102,129,142,118,107,98,88,88,99,94,115,70,45,27,22,47,44,46,47,63,65,59,47,49,49,39,48,53,59,37,20,19,22,50,45,56,55,66,77,59,60,49,39,49,51,41,56,33,25,8,51,90,103,96,107,123,154,118,124,96,94,87,105,91,109,84,56,26,27,41,52,42,50,62,70,59,55,45,49,44,44,48,58,47,27,17,25,49,50,54,56,61,84,58,69,51,45,43,60,43,50,37,30,8,44,82,108,99,101,123,151,120,124,103,101,83,96,93,96,94,58,32,19,37,56,42,50,62,71,60,57,48,49,43,42,46,50,54,29,19,25,45,52,57,51,61,80,60,67,55,52,40,54,47,46,40,29,13,32,82,101,100,104,134,135,138,123,111,104,87,101,92,100,98,54,34,13,35,51,42,55,60,68,66,58,48,51,47,44,45,51,54,28,22,19,47,50,58,49,74,67,72,65,63,53,40,57,47,49,44,26,12,42,70,92,102,114,107,136,136,130,115,91,96,94,100,86,97,47,35,18,32,44,50,54,52,71,66,64,48,41,54,41,49,49,51,26,21,24,38,48,52,60,55,65,70,66,67,50,42,53,51,37,46,21,14,58,63,97,94,104,109,131,152,126,117,94,91,90,105,88,97,55,31,27,27,46,44,49,54,67,72,65,44,47,50,39,50,51,51,33,18,31,36,51,50,55,55,64,80,61,73,47,41,51,55,37,46,22,13,63,60,98,109,108,107,134,172,139,147,102,96,91,106,82,93,70,33,29,30,44,52,49,54,70,79,74,57,47,48,44,46,44,52,41,22,34,30,54,57,59,53,64,93,65,90,55,48,47,60,38,41,29,11,73,63,92,120,111,116,135,171,155,154,114,105,84,98,94,83,74,41,39,24,44,55,51,56,71,75,81,61,52,51,43,42,49,46,47,25,34,39,48,65,60,60,64,96,74,93,62,54,41,56,45,37,27,16,68,56,87,119,118,125,142,161,162,155,116,116,79,101,91,85,75,39,38,17,40,58,57,62,64,77,79,67,51,56,43,44,49,47,46,25,30,39,47,61,61,63,78,84,83,88,65,60,36,57,42,38,29,14,75,66,83,107,115,140,142,158,163,157,130,100,102,90,98,80,78,44,37,27,37,51,62,70,68,75,86,71,54,47,56,35,53,45,46,32,38,39,46,56,53,70,74,83,77,86,76,53,46,55,45,35,32,12,78,71,77,110,127,146,153,156,184,159,143,107,97,86,101,82,78,48,37,35,34,47,65,73,76,78,87,78,54,53,52,37,51,47,45,35,41,36,43,63,62,73,77,78,97,81,89,54,45,49,50,35,33,13,94,66,73,118,126,143,158,166,187,161,167,107,96,83,97,79,78,61,38,31,35,49,64,66,81,84,85,87,66,46,49,42,44,42,48,45,56,35,38,69,62,77,77,82,102,74,101,61,47,41,53,37,30,16,96,73,75,111,125,132,154,173,183,157,163,127,99,76,88,88,67,66,40,44,29,48,63,60,85,92,79,84,65,59,49,42,41,47,40,50,56,29,46,63,62,72,69,81,104,73,98,68,50,34,47,41,27,16,102,78,71,99,126,140,144,173,181,164,165,138,109,75,93,86,67,64,46,47,24,43,62,67,76,85,86,83,73,62,51,48,40,50,37,49,56,31,47,56,64,73,68,88,95,81,92,76,58,27,53,36,30,15,104,82,78,94,118,128,145,160,187,165,164,152,100,90,79,88,64,62,46,48,33,38,56,68,69,80,90,83,78,63,46,56,33,53,36,46,58,34,45,56,62,60,76,80,97,82,86,89,54,34,46,35,28,16,112,77,72,88,116,112,136,171,171,176,159,147,110,84,82,80,63,65,50,41,35,36,51,56,73,78,83,86,79,59,55,47,39,46,36,51,62,36,37,52,65,56,63,93,88,90,80,88,55,37,43,34,27,14,104,96,70,84,117,115,138,155,163,185,148,155,110,90,78,83,57,68,54,45,35,38,51,59,68,76,83,81,83,65,51,45,42,40,34,56,50,51,35,46,66,56,70,79,80,104,65,90,59,45,36,43,23,12,93,96,71,85,107,125,133,146,158,186,139,166,126,106,71,79,61,63,47,43,45,30,48,68,64,69,83,82,77,69,60,50,41,36,36,51,46,53,26,55,59,57,69,77,75,104,62,97,66,56,30,43,25,12,92,97,75,71,100,123,129,135,162,179,149,160,128,117,72,81,65,64,42,48,45,25,40,61,59,70,74,88,76,72,57,55,44,35,42,50,50,49,30,46,60,62,70,65,88,91,73,88,71,62,28,46,23,14,73,99,85,74,89,114,130,140,154,180,152,162,140,107,86,74,69,59,35,47,49,30,36,50,64,71,73,89,77,79,57,49,53,31,40,43,38,52,36,44,53,64,66,69,81,91,75,83,83,58,33,43,29,16,71,106,76,79,82,114,118,147,167,151,169,154,143,114,83,74,65,59,33,51,41,42,31,47,58,77,76,77,86,74,60,56,45,34,36,43,38,55,35,37,51,67,60,70,91,74,83,80,83,58,38,40,29,16,67,92,88,68,84,102,113,148,159,152,174,149,159,114,88,67,63,63,30,49,43,38,38,44,56,69,79,80,84,79,65,54,44,36,30,47,37,43,45,30,46,58,57,79,80,72,90,70,94,60,44,31,33,16,69,96,93,71,79,94,120,150,160,154,179,141,161,133,95,67,60,72,32,52,42,47,29,43,63,70,81,84,87,79,65,65,47,37,27,51,37,44,51,24,50,51,57,80,79,70,92,62,96,68,48,30,33,21,87,102,105,80,73,93,126,161,174,176,183,148,164,145,113,69,63,67,40,52,52,52,24,39,67,74,94,82,93,76,74,66,53,43,27,46,47,50,53,28,49,54,59,87,80,94,90,72,90,79,60,26,36,21,92,90,104,83,79,94,122,154,186,168,187,150,163,154,113,79,60,71,46,41,54,52,34,39,64,72,97,78,95,75,81,64,54,50,25,47,46,49,50,31,45,55,58,82,89,90,92,75,82,90,59,29,35,24,296,399,530,570,529,570,611,660,522,414,336,282,350,295,268,197,128,119,129,180,282,274,262,275,314,332,236,206,158,150,175,153,150,131,87,91,167,219,248,296,267,295,297,328,285,208,178,132,175,142,117,66,41,27,284,375,484,598,516,568,597,625,610,438,355,273,324,316,269,206,137,114,135,169,240,296,266,274,296,325,284,206,174,142,162,160,149,139,90,86,149,206,244,302,250,294,301,300,326,232,181,131,162,156,120,67,47,28,272,349,459,589,499,554,599,595,617,465,373,275,304,319,271,196,142,110,128,157,218,307,241,274,293,313,300,212,187,138,154,160,147,129,97,84,144,192,241,283,258,280,307,282,317,253,186,137,151,160,123,67,45,26,279,349,445,554,530,575,622,611,662,469,406,292,295,337,273,217,143,123,138,150,206,286,276,288,297,317,331,206,204,142,164,165,147,129,102,97,141,199,239,268,254,287,325,294,331,263,202,150,131,172,126,88,41,26,314,351,409,565,574,608,654,650,677,500,417,317,289,334,281,222,154,127,157,153,192,287,293,316,301,331,345,221,207,155,158,162,152,132,107,100,157,198,217,278,281,292,353,319,332,279,210,162,131,172,129,90,47,27,335,339,413,544,600,644,658,674,668,566,422,339,289,328,307,230,156,127,160,156,196,270,300,334,312,340,339,255,212,162,153,160,166,136,112,99,175,183,217,274,300,310,346,334,329,311,210,177,136,168,141,94,44,28,355,344,410,515,630,636,662,670,664,633,437,349,278,316,317,254,169,142,170,164,187,251,320,326,313,345,338,291,209,176,146,159,165,153,117,109,185,180,223,264,310,310,349,325,326,342,228,173,132,157,152,101,52,33,369,338,405,505,628,634,681,685,663,658,476,382,289,295,325,267,174,147,185,164,179,232,331,322,329,341,341,308,223,193,146,150,170,155,121,112,184,174,226,273,297,312,352,344,322,350,253,189,143,145,155,112,53,35,367,332,402,484,590,647,690,693,659,686,488,403,311,284,321,263,198,153,184,167,172,223,302,336,337,343,336,340,218,205,150,159,164,152,128,119,183,165,230,261,288,311,353,350,323,346,270,198,161,125,157,111,70,34,368,346,396,443,592,664,658,699,680,683,522,428,328,280,322,259,202,162,177,175,169,210,305,344,340,339,348,350,232,215,160,156,167,151,127,122,191,171,227,233,287,320,318,360,332,333,290,213,168,124,155,108,75,40,370,364,368,434,547,652,708,671,696,673,578,424,348,286,311,277,208,171,171,179,167,204,278,330,366,342,355,339,267,215,168,152,165,163,133,128,199,185,201,230,269,322,342,329,341,334,311,209,180,134,146,114,75,43,393,386,371,433,520,644,731,680,690,683,625,448,371,277,296,292,206,188,180,187,179,196,260,326,392,343,363,350,293,216,185,145,154,165,133,134,213,199,192,237,260,318,339,337,327,333,332,232,186,132,142,127,73,54,463,403,365,423,512,639,700,699,694,685,644,488,395,283,284,291,207,197,220,200,175,187,250,336,372,349,363,353,309,231,199,143,154,163,126,137,243,203,190,236,262,303,328,350,331,332,335,257,196,140,130,128,81,60,457,411,358,410,483,574,678,712,699,671,680,492,405,314,274,298,199,207,209,204,170,179,226,298,367,364,358,345,341,223,214,149,164,159,116,144,248,207,188,231,257,276,311,348,341,326,339,269,191,165,110,139,83,63,436,414,370,408,448,539,680,701,684,698,671,515,427,337,273,289,193,220,209,194,188,175,214,271,363,375,339,363,352,234,218,162,159,155,117,150,227,220,182,233,234,268,317,326,345,335,319,281,209,175,114,134,76,70,401,420,377,380,432,511,659,710,668,692,673,556,426,352,272,286,199,220,188,197,180,168,209,252,346,374,351,357,346,265,216,169,153,158,124,157,213,223,197,212,223,259,313,336,317,335,327,291,210,183,119,128,75,63,399,448,399,383,436,493,641,737,657,695,685,595,438,368,273,267,220,216,201,221,188,192,197,237,334,395,345,367,357,285,212,186,151,147,132,156,198,227,211,191,239,256,307,342,312,328,328,310,226,182,122,120,88,60,348,478,416,366,429,469,628,691,696,683,693,616,468,385,279,255,237,232,168,233,205,186,188,225,321,365,357,365,359,302,225,195,151,146,137,172,180,245,211,180,241,244,307,326,339,318,334,314,243,190,128,109,100,60,347,477,425,373,416,476,551,681,704,685,685,651,462,393,293,251,246,237,168,232,209,183,180,229,283,367,371,360,352,334,210,213,146,159,135,175,179,245,216,190,236,247,268,314,333,325,333,317,252,180,147,92,111,62,343,477,416,378,400,424,522,707,691,682,690,659,486,416,312,249,244,249,168,233,198,199,173,199,266,372,373,346,366,349,223,218,153,155,141,174,175,244,218,179,227,225,256,335,318,336,324,310,263,198,159,94,103,75,332,464,436,380,375,413,490,692,718,660,685,665,520,416,329,248,249,254,158,237,209,183,172,189,251,363,377,350,361,345,247,214,165,145,146,172,174,227,227,197,203,224,239,329,341,310,324,320,273,202,164,103,103,82,339,427,465,397,365,400,453,655,731,651,683,667,553,427,354,252,233,297,163,217,230,188,179,181,231,333,399,339,368,348,270,212,184,146,137,203,176,210,235,209,186,219,222,322,332,312,315,319,283,215,170,106,96,94,323,380,492,402,336,398,417,632,690,689,673,670,594,448,377,258,233,289,165,186,248,202,167,178,206,330,367,358,363,353,297,217,200,142,142,197,158,194,244,200,169,220,211,302,323,331,310,317,297,231,177,116,91,92,279,399,490,406,321,382,428,573,695,711,682,674,634,452,393,279,229,331,142,196,247,204,153,171,208,300,370,364,363,352,333,209,219,144,155,221,137,203,243,202,168,211,220,273,325,347,319,322,301,243,174,135,74,110,251,385,487,394,359,374,399,518,713,698,675,679,642,460,409,298,217,315,127,188,248,194,184,171,195,268,374,369,342,361,347,213,221,160,144,214,124,197,239,200,175,203,204,250,339,329,333,318,295,247,188,138,73,101,237,369,478,404,357,355,387,470,687,704,670,668,651,505,409,314,217,326,120,174,252,198,178,171,189,242,353,368,356,355,340,242,221,170,135,219,117,195,226,206,179,184,198,228,334,336,314,313,311,263,188,144,82,107,13,22,35,42,41,48,50,48,49,44,38,42,61,43,68,55,37,46,6,9,19,23,16,15,18,18,19,14,11,17,34,19,33,35,21,30,7,13,16,19,25,33,32,30,30,30,27,25,27,24,35,20,16,16,9,15,28,37,40,44,43,45,42,43,45,41,57,48,57,60,26,52,5,5,15,20,18,17,14,15,18,14,12,18,27,23,26,38,16,32,4,10,13,17,22,27,29,30,24,29,33,23,30,25,31,22,10,20,7,14,23,34,32,44,40,40,40,41,42,40,52,55,47,62,34,52,3,4,12,21,11,15,13,13,16,14,14,16,20,29,17,41,22,30,4,10,11,13,21,29,27,27,24,27,28,24,31,25,29,21,12,21,7,11,20,36,29,44,37,35,44,42,41,45,44,61,43,58,38,44,2,3,9,22,13,16,13,12,16,15,16,15,18,33,16,37,25,28,5,8,11,14,16,28,24,23,28,27,25,30,26,28,27,21,13,16,12,12,16,35,39,37,52,42,45,47,43,48,43,63,40,62,44,38,3,4,6,19,23,16,16,15,17,18,15,12,20,33,17,33,31,25,9,8,10,16,16,21,36,27,28,29,28,36,23,30,23,29,13,13,19,11,10,37,33,42,49,49,43,48,45,48,46,61,37,59,48,42,6,5,3,21,19,21,15,18,15,20,14,12,22,32,18,28,32,29,13,6,7,16,14,21,34,31,28,28,31,36,24,29,19,31,16,13,25,10,10,28,36,38,54,50,44,42,47,46,43,55,38,51,51,40,9,4,2,14,19,18,21,18,15,16,16,13,19,28,20,23,33,27,16,6,8,14,17,20,33,32,29,26,31,33,24,27,18,28,18,13,25,9,14,22,36,34,58,53,42,46,44,46,44,51,46,41,48,46,13,3,4,12,19,14,24,18,15,17,16,15,18,23,26,16,33,30,12,6,10,10,17,20,34,35,27,29,28,31,26,28,20,25,15,16,25,13,12,17,38,36,58,46,40,52,45,46,49,44,51,37,45,46,12,4,3,9,22,15,25,16,11,19,16,19,15,20,29,12,30,32,13,9,9,8,16,21,33,30,29,33,29,27,34,24,22,25,15,14,21,13,14,12,34,39,44,61,44,49,48,42,48,44,53,31,45,44,9,6,4,5,17,17,19,20,13,20,17,18,11,21,29,13,23,31,12,7,10,7,17,22,25,41,31,29,31,24,37,23,24,18,22,13,19,18,9,10,35,31,48,62,52,48,50,43,47,43,51,31,42,49,7,9,3,4,17,9,19,16,16,15,17,17,13,22,27,16,20,33,12,9,6,6,18,22,29,46,36,33,33,26,34,21,24,15,22,16,17,24,9,14,29,36,43,59,59,47,44,46,50,43,52,32,35,46,5,12,4,3,16,14,13,17,18,15,17,15,16,20,26,18,17,30,12,12,5,11,13,22,30,42,41,32,27,31,34,23,26,14,18,16,21,25,8,13,23,44,38,59,69,51,45,47,50,43,52,35,28,48,6,13,2,6,12,19,10,19,15,17,14,19,17,18,25,19,12,33,15,12,6,7,11,25,28,40,54,34,31,28,33,25,27,16,16,15,21,30,10,14,21,41,35,61,59,55,48,42,51,47,43,42,22,48,7,14,3,5,10,20,12,18,17,16,16,16,21,16,21,22,8,33,14,16,7,9,11,21,23,43,42,39,32,26,30,31,22,20,14,15,16,33,12,14,19,39,42,46,65,56,52,52,48,45,46,44,21,49,7,14,5,6,5,19,16,18,19,14,22,19,20,12,23,23,9,30,9,19,7,8,14,20,26,28,46,42,30,33,28,33,23,21,12,19,25,26,18,8,22,40,42,47,63,57,47,56,47,49,47,47,18,48,13,10,8,4,8,23,15,19,18,17,15,22,20,15,23,24,8,27,12,16,10,4,14,17,27,28,45,40,32,34,27,34,24,23,10,21,26,18,23,7,22,31,41,43,56,50,43,45,49,50,41,45,21,39,13,7,10,3,8,18,18,19,21,14,15,19,20,14,19,23,10,22,13,11,13,4,14,13,23,24,35,36,28,26,29,36,22,22,11,17,19,23,20,8,20,24,42,41,55,50,39,43,51,50,37,49,24,33,9,9,9,1,9,12,22,17,20,14,17,16,21,15,17,24,11,18,10,14,11,7,11,12,20,24,35,36,22,27,30,35,20,25,13,15,14,23,27,8,19,23,45,40,53,44,46,48,43,51,43,38,29,28,6,10,13,1,8,11,25,15,19,17,15,17,17,20,16,19,18,12,8,13,14,7,11,12,20,25,34,27,31,31,26,31,27,19,11,16,16,20,24,9,17,20,37,40,40,56,42,46,49,46,42,40,28,29,6,9,10,3,7,6,19,15,19,21,14,19,19,17,13,21,16,13,10,11,14,6,10,14,18,25,21,35,28,27,30,29,29,19,12,16,10,23,19,14,13,19,36,42,46,48,41,46,50,43,45,42,31,27,4,10,8,5,5,8,20,15,21,19,13,16,22,16,15,22,18,13,6,13,11,9,8,11,16,27,25,29,28,30,28,27,30,20,13,14,12,26,19,18,8,20,26,42,41,47,45,43,47,54,44,39,31,30,3,13,10,8,4,7,15,14,19,20,16,16,19,20,16,21,18,15,9,13,9,10,4,13,11,28,22,27,29,27,28,34,28,18,13,15,14,19,26,16,10,20,31,43,40,46,49,48,49,56,51,34,37,27,4,9,12,7,6,7,17,20,15,20,18,19,21,22,18,18,19,14,10,10,14,9,4,13,14,23,25,26,31,29,28,34,33,16,18,13,13,15,26,21,14,23,26,42,38,43,50,55,45,46,53,36,31,27,5,6,12,10,6,10,15,20,13,18,26,20,18,18,21,15,17,16,8,9,14,11,8,13,11,22,25,25,24,35,27,28,32,21,14,11,14,15,19,21,14,20,24,33,43,35,54,52,46,50,44,35,32,29,6,6,8,9,5,8,11,18,15,18,25,19,20,21,15,11,20,17,8,9,11,12,9,12,13,15,28,17,29,33,26,29,29,24,12,12,14,10,20,19,18,16,21,36,39,42,48,48,47,50,43,38,33,32,7,4,8,8,6,7,10,21,13,21,24,18,16,24,16,12,20,17,7,6,12,11,12,9,11,15,26,21,24,30,31,26,27,26,13,15,32,44,51,60,79,97,89,67,63,57,68,69,83,76,71,56,46,45,12,22,26,29,30,46,37,29,23,27,37,30,43,33,37,38,33,33,20,22,25,30,48,50,51,37,39,30,30,38,39,42,33,18,13,12,36,33,46,56,82,81,84,63,68,62,74,52,91,84,61,57,42,47,12,17,25,26,35,35,41,27,23,30,36,27,44,37,32,34,32,38,24,16,21,30,47,46,43,36,45,32,38,25,47,47,29,23,10,9,30,35,46,56,68,83,87,69,67,61,66,65,82,76,70,62,38,51,9,15,24,29,28,38,41,31,22,25,31,37,38,33,39,36,30,43,21,20,21,26,39,45,46,37,44,35,34,28,44,42,31,26,7,8,28,34,42,51,67,80,81,76,60,67,60,72,77,80,68,56,33,51,11,13,22,27,30,33,36,35,21,25,30,39,34,41,35,31,27,42,17,21,20,24,37,47,45,41,39,42,30,33,43,39,33,25,6,9,32,33,51,49,69,74,86,78,59,76,62,72,71,76,74,62,34,52,14,13,29,23,31,25,39,35,23,32,28,35,31,44,35,36,23,45,18,20,22,26,38,49,47,43,36,44,34,37,40,32,39,26,11,7,33,31,45,52,67,83,81,82,66,70,64,79,57,87,70,64,36,47,16,10,27,25,30,35,33,37,27,28,30,37,27,45,34,33,25,39,17,21,18,27,37,48,48,45,39,42,34,42,30,42,36,31,11,8,33,36,37,46,59,87,83,83,60,66,69,77,58,89,81,50,40,55,15,15,18,25,27,36,36,37,23,25,33,39,29,44,39,25,25,50,18,21,19,21,32,51,47,46,37,41,36,38,29,45,42,25,15,5,36,30,39,46,65,77,88,89,70,69,70,72,73,87,72,59,42,50,16,12,18,24,34,31,38,40,29,25,29,35,40,38,36,30,26,45,20,18,21,22,31,46,50,49,41,44,41,37,33,49,36,29,16,5,31,33,36,47,60,71,85,86,79,63,75,64,80,82,75,61,45,39,14,13,17,26,33,28,34,40,35,21,30,33,40,37,40,30,26,35,17,20,19,21,27,43,51,46,44,42,45,31,40,45,35,31,19,4,27,33,29,52,60,66,83,84,78,61,76,68,81,72,73,68,46,39,9,16,12,27,30,28,28,41,33,20,33,33,39,29,43,34,24,35,18,17,17,25,30,38,55,43,45,41,43,35,42,43,30,34,22,4,30,38,26,46,54,70,86,80,86,70,67,68,82,63,79,62,49,37,12,18,10,24,27,32,36,35,33,27,27,33,39,26,43,34,22,33,18,20,16,22,27,38,50,45,53,43,40,35,43,37,36,28,27,4,31,29,31,36,50,66,81,84,87,62,71,76,77,64,82,69,40,47,16,12,13,18,25,32,32,34,36,26,25,36,40,28,45,37,20,38,15,17,18,18,25,34,49,50,51,36,46,40,37,36,37,32,20,9,35,25,30,38,47,60,72,87,87,67,75,71,71,76,76,63,55,58,18,11,13,20,21,31,28,37,37,29,30,28,35,38,37,37,32,45,17,14,17,18,26,29,44,50,50,38,45,43,36,38,39,26,23,13,30,24,29,35,51,56,72,85,89,77,63,82,63,79,73,62,57,59,13,10,11,18,24,29,32,34,38,33,25,32,33,39,34,38,35,41,17,14,18,17,27,27,40,51,51,44,38,50,30,40,39,24,22,18,32,27,30,29,55,55,71,78,90,76,62,78,68,78,65,59,61,63,14,9,14,13,26,27,35,28,42,30,24,33,34,38,26,38,40,42,18,18,16,16,29,28,36,50,48,46,38,45,34,40,39,21,21,21,34,27,36,25,46,56,60,83,79,85,66,73,69,82,59,68,55,63,15,10,17,10,23,25,30,36,33,33,25,32,32,42,25,40,36,41,19,17,19,15,23,31,30,47,46,52,41,41,37,40,34,28,19,22,27,33,31,32,36,50,58,82,78,87,57,80,69,78,59,77,57,55,11,15,15,13,19,21,29,35,33,35,21,33,32,40,28,41,35,37,16,18,16,19,17,29,29,47,45,52,36,47,37,38,31,36,22,18,28,34,27,32,33,51,56,72,75,87,71,69,69,67,72,68,50,55,10,14,12,12,19,20,28,31,29,36,29,28,28,35,38,33,32,37,18,20,15,20,14,31,28,41,46,51,42,41,41,32,34,35,18,18,27,30,24,28,30,48,50,67,80,86,78,64,80,59,78,66,55,48,10,12,9,12,16,19,26,27,31,36,32,24,32,34,38,34,35,30,17,18,15,16,14,29,24,40,49,50,46,40,48,25,40,32,20,18,25,31,26,31,28,52,51,62,74,90,78,66,76,68,73,58,61,62,8,15,8,15,12,23,21,28,27,38,29,26,34,33,37,26,38,38,17,16,18,16,16,29,30,34,47,52,49,40,42,35,36,32,23,24,22,31,25,32,25,39,58,59,77,84,84,68,74,67,72,59,63,62,8,14,9,15,9,18,24,27,31,34,32,25,36,31,38,25,42,41,14,17,16,17,16,21,34,32,46,50,52,43,38,36,34,34,21,21,22,27,27,29,31,34,51,63,80,82,84,60,83,66,73,55,66,66,9,10,12,13,10,16,19,31,31,33,33,23,37,30,39,28,40,39,13,17,15,16,21,18,32,32,49,49,51,37,46,36,34,27,26,27,16,30,29,26,36,37,51,57,74,82,84,73,75,64,67,65,61,73,9,11,13,12,14,19,17,28,29,33,34,29,35,24,37,37,34,48,7,19,16,14,22,18,34,29,45,49,50,44,40,40,30,28,27,25,16,28,25,23,35,31,51,54,74,80,83,75,70,73,55,65,58,69,10,10,12,7,16,14,18,26,30,33,35,31,29,29,33,36,33,43,6,18,13,16,19,17,33,28,44,47,48,44,41,44,22,29,25,26,12,30,28,25,39,31,49,60,76,77,87,75,71,72,62,64,52,75,9,13,14,8,18,13,18,27,33,33,36,30,29,34,34,36,28,49,3,17,14,17,21,18,31,33,43,44,51,45,42,38,28,28,24,26,17,27,33,21,44,29,42,66,64,93,70,87,70,69,64,63,52,83,11,12,17,7,20,9,18,29,32,40,27,33,29,34,33,38,23,58,6,15,16,14,24,20,24,37,32,53,43,54,41,35,31,25,29,25,30,33,52,40,54,77,101,75,62,51,50,55,85,97,92,68,51,41,11,20,25,21,22,43,42,31,21,15,23,23,46,47,46,44,29,26,19,13,27,19,32,34,59,44,41,36,27,32,39,50,46,24,22,15,32,30,45,42,49,67,91,86,59,52,59,42,79,94,95,73,52,44,13,14,24,21,21,36,36,40,22,13,26,19,38,48,52,37,33,31,19,16,21,21,28,31,55,46,37,39,33,23,41,46,43,36,19,13,41,31,43,47,46,66,80,92,71,54,58,43,71,98,85,79,53,44,19,12,22,25,22,29,38,36,30,13,24,18,36,54,42,43,32,27,21,18,20,21,23,37,43,56,41,41,34,25,36,44,43,37,20,16,42,32,42,48,51,58,73,103,70,62,60,48,63,89,84,80,55,41,22,9,26,25,26,26,35,40,31,16,22,24,30,49,44,38,39,25,20,23,16,23,25,32,38,63,39,46,38,24,33,40,40,42,16,16,40,33,38,50,47,55,68,106,74,65,59,51,52,88,87,80,56,47,22,10,22,24,25,24,32,44,29,21,19,25,23,46,44,43,38,29,18,23,16,26,22,31,36,62,45,44,40,26,29,42,43,37,18,18,43,32,38,48,51,58,71,107,83,61,63,56,45,81,82,79,53,55,25,10,23,22,26,21,39,42,37,17,23,25,19,41,47,39,32,38,18,22,15,26,25,37,32,65,46,44,40,31,26,40,35,40,21,17,36,35,34,47,48,54,78,94,90,63,61,61,49,70,93,80,53,50,21,14,16,24,20,21,41,36,40,24,17,27,22,34,48,48,28,33,15,21,18,23,28,33,37,58,50,39,44,34,27,36,45,32,25,17,36,40,37,44,50,56,80,87,90,79,63,67,57,68,93,70,59,51,22,21,16,24,22,23,38,40,35,33,17,28,25,34,51,40,35,33,14,19,21,20,28,33,42,47,55,46,46,39,32,34,42,30,24,18,40,36,33,47,48,58,67,75,100,78,61,70,56,69,84,72,57,58,22,21,11,32,20,29,32,38,36,35,14,29,26,35,43,39,30,40,18,15,22,15,28,29,35,37,64,43,47,41,30,34,41,33,27,18,32,37,34,40,55,52,62,73,101,81,71,63,59,57,86,73,58,54,18,21,13,27,24,28,27,40,40,32,20,23,29,26,45,35,34,36,14,16,21,13,31,24,35,33,61,49,51,40,30,31,41,38,24,18,37,35,32,40,57,61,61,74,103,88,64,70,59,50,80,74,60,55,16,24,11,24,28,33,25,43,39,40,20,25,28,23,40,39,32,37,21,11,21,16,29,28,36,31,64,48,44,45,31,27,40,35,28,18,38,33,32,42,62,61,61,75,95,98,69,70,69,52,63,77,65,51,18,20,13,23,34,31,28,42,36,45,28,19,34,23,29,40,40,32,20,13,19,19,28,30,33,33,59,53,41,51,35,29,34,37,25,19,30,34,37,38,49,58,58,71,87,92,86,66,65,54,57,81,56,56,13,18,19,16,27,27,28,31,36,40,35,17,30,24,26,44,30,37,17,16,18,22,22,31,30,40,51,52,51,49,35,30,31,37,26,19,26,35,37,36,51,52,57,61,76,101,83,65,71,53,58,75,54,59,10,21,19,11,31,20,27,27,36,38,35,19,29,24,29,40,27,39,16,14,18,25,20,32,30,34,40,63,48,46,42,29,29,35,27,20,26,35,37,40,43,48,54,60,73,101,87,74,71,57,49,73,60,60,11,20,20,12,24,17,29,29,35,42,37,26,25,27,22,40,27,40,15,15,17,28,19,31,25,31,38,59,50,48,46,30,27,33,33,20,24,37,37,38,38,46,58,60,69,101,88,67,78,58,46,68,56,60,11,17,24,11,24,17,30,28,35,39,39,22,29,26,22,33,32,36,13,20,13,27,14,29,28,32,34,62,49,45,49,32,24,35,24,24,26,37,33,36,37,47,50,56,65,89,100,68,69,64,48,55,64,56,14,19,20,13,18,23,24,28,35,34,46,27,20,31,22,24,35,35,12,18,13,23,19,24,26,28,30,55,54,41,49,33,26,31,29,21,25,32,38,37,40,43,51,60,64,85,91,81,68,63,50,51,66,56,14,14,22,19,17,22,24,29,31,36,40,32,20,29,23,23,37,34,11,18,16,18,23,21,27,31,33,49,51,49,48,34,27,28,29,22,26,25,38,38,44,46,51,61,61,80,100,86,70,66,53,53,58,52,12,10,23,21,18,29,22,28,30,38,41,33,23,27,23,25,31,32,14,15,15,17,26,17,29,33,31,42,59,53,47,39,30,28,27,20,23,29,34,39,41,46,47,61,63,67,101,87,75,61,56,44,57,46,7,14,20,22,15,30,19,24,34,30,41,35,25,23,26,20,30,29,16,15,14,17,26,16,28,37,29,37,60,52,50,38,30,24,27,17,24,24,36,40,39,44,41,57,63,65,103,93,73,69,55,40,58,46,8,11,16,25,13,27,19,25,29,36,38,42,21,24,24,19,27,29,16,13,20,15,26,17,22,32,34,29,65,51,52,45,31,21,31,17,20,26,35,33,35,42,45,54,54,67,89,101,79,62,64,46,44,50,6,12,16,18,13,22,22,23,24,37,28,43,30,18,29,21,20,29,14,14,19,15,22,20,23,31,30,30,61,58,49,44,35,25,24,21,21,24,28,35,36,43,42,59,54,70,85,89,92,61,64,42,43,48,8,11,11,19,17,17,24,21,26,33,32,36,35,17,30,19,20,26,13,13,17,16,19,26,18,38,28,37,53,53,57,44,34,23,23,22,20,24,23,39,35,48,45,53,56,66,74,98,84,64,65,47,42,47,7,10,8,21,17,19,29,23,20,34,33,38,34,20,25,21,20,26,13,14,15,18,18,29,16,30,36,32,41,60,50,44,40,26,22,21,18,26,28,37,41,46,48,58,54,70,74,95,92,69,59,53,34,54,10,8,11,20,21,16,33,25,22,34,32,38,38,22,20,26,16,29,8,18,17,17,20,30,15,33,32,36,42,57,54,47,39,27,18,25,23,24,31,37,42,45,56,56,53,62,76,103,88,72,66,47,28,57,11,9,12,16,24,12,35,24,20,22,41,38,42,23,22,22,13,33,12,15,19,21,18,33,21,32,33,40,35,65,46,49,44,25,15,24,989,1122,1383,1964,1878,1834,1888,1888,1658,1487,1136,936,1098,1060,798,532,401,258,472,572,662,960,944,928,960,948,820,763,558,466,568,569,424,311,262,190,517,550,721,1005,934,906,928,940,838,725,578,471,531,491,374,221,139,68,940,1103,1313,1792,1982,1851,2031,1927,1754,1590,1298,890,1051,1108,878,579,420,281,458,546,639,873,982,937,1032,965,885,819,638,448,550,586,468,328,273,207,482,557,674,919,1000,914,999,962,869,771,660,442,501,522,410,251,147,74,848,1030,1277,1667,1987,1785,1921,1914,1816,1606,1361,955,1001,1111,905,603,433,314,405,507,631,805,978,917,959,953,930,812,678,482,518,592,480,344,281,226,443,523,646,862,1009,868,962,961,886,794,684,473,483,519,425,260,152,88,695,1086,1229,1526,2021,1878,1901,1973,1879,1641,1441,1052,918,1132,902,666,438,371,330,538,600,720,1013,957,966,990,937,829,731,518,476,590,512,369,274,273,365,548,629,806,1008,921,935,983,942,812,710,534,442,542,390,297,164,98,930,1094,1212,1450,2007,1941,1920,1980,1956,1699,1493,1107,928,1086,974,693,441,397,442,531,603,686,978,996,976,995,985,852,763,555,480,569,551,396,271,289,488,563,609,764,1029,945,944,985,971,847,730,552,448,517,423,297,170,108,1002,1127,1182,1468,1972,2065,1951,2114,1958,1791,1568,1203,880,1079,1001,732,444,377,483,551,582,710,969,1050,975,1059,984,903,810,589,458,564,560,418,265,276,519,576,600,758,1003,1015,976,1055,974,888,758,614,422,515,441,314,179,101,1205,1170,1209,1484,1950,2362,2203,2280,2183,1903,1698,1366,921,1056,1062,767,473,384,571,573,595,727,948,1165,1104,1129,1084,950,877,670,477,553,578,442,283,279,634,597,614,757,1002,1197,1099,1151,1099,953,821,696,444,503,484,325,190,105,1336,1280,1234,1494,1903,2490,2399,2396,2267,2076,1777,1467,1015,1032,1090,796,492,411,628,626,604,734,903,1241,1222,1178,1120,1043,897,740,520,530,599,456,299,288,708,654,630,760,1000,1249,1177,1218,1147,1033,880,727,495,502,491,340,193,123,1481,1339,1318,1452,1847,2693,2739,2557,2360,2247,1837,1579,1137,960,1102,840,517,424,684,639,643,718,880,1353,1390,1252,1163,1103,921,813,564,496,589,501,314,293,797,700,675,734,967,1340,1349,1305,1197,1144,916,766,573,464,513,339,203,131,1686,1455,1368,1462,1824,2791,3011,2750,2496,2364,1967,1685,1208,992,1070,904,547,444,800,674,654,722,883,1379,1507,1339,1218,1158,988,862,604,521,565,539,336,312,886,781,714,740,941,1412,1504,1411,1278,1206,979,823,604,471,505,365,211,132,1772,1507,1390,1389,1783,2673,3157,2819,2640,2377,2077,1771,1317,939,1080,933,586,453,837,707,670,672,865,1327,1579,1362,1303,1164,1036,907,645,488,576,554,359,305,935,800,720,717,918,1346,1578,1457,1337,1213,1041,864,672,451,504,379,227,148,1861,1564,1414,1389,1722,2417,3209,2868,2719,2475,2117,1812,1453,972,1030,968,620,476,877,740,673,690,826,1195,1585,1405,1330,1192,1066,925,718,511,553,565,387,323,984,824,741,699,896,1222,1624,1463,1389,1283,1051,887,735,461,477,403,233,153,1927,1637,1450,1380,1665,2217,3109,2935,2774,2461,2251,1879,1526,1049,1003,1001,649,491,903,784,687,676,799,1094,1520,1491,1338,1204,1135,952,771,546,536,585,406,338,1024,853,763,704,866,1123,1589,1444,1436,1257,1116,927,755,503,467,416,243,153,1901,1708,1495,1422,1608,1973,2930,3035,2772,2549,2354,1888,1619,1140,926,1006,689,537,917,822,709,684,770,958,1467,1559,1352,1247,1169,955,836,583,493,574,441,363,984,886,786,738,838,1015,1463,1476,1420,1302,1185,933,783,557,433,432,248,174,1778,1798,1517,1420,1573,1856,2744,3032,2797,2588,2419,1975,1643,1185,937,955,758,581,870,885,715,672,775,917,1382,1553,1374,1268,1204,1006,849,604,506,542,480,395,908,913,802,748,798,939,1362,1479,1423,1320,1215,969,794,581,431,413,278,186,1760,1845,1518,1438,1478,1786,2508,3022,2797,2706,2422,2052,1710,1277,896,959,783,637,848,896,715,688,729,884,1257,1530,1392,1349,1186,1045,886,640,482,544,494,435,912,949,803,750,749,902,1251,1492,1405,1357,1236,1007,824,637,414,415,289,202,1660,1861,1565,1396,1416,1680,2243,3015,2809,2697,2451,2096,1743,1388,905,927,795,687,789,903,751,672,714,827,1124,1538,1389,1336,1215,1068,903,715,480,521,499,471,871,958,814,724,702,853,1119,1477,1420,1361,1236,1028,840,673,425,406,296,216,1526,1908,1616,1387,1359,1598,1999,2896,2804,2693,2389,2202,1819,1431,982,880,802,716,753,899,782,667,676,787,993,1474,1435,1320,1196,1129,925,739,523,486,495,500,773,1009,834,720,683,811,1006,1422,1369,1373,1193,1073,894,692,459,394,307,216,1358,1881,1690,1406,1356,1477,1776,2745,2905,2659,2445,2257,1815,1521,1091,798,825,761,671,895,806,673,669,724,862,1427,1484,1313,1214,1138,927,808,568,437,495,530,687,986,884,733,687,753,914,1318,1421,1346,1231,1119,888,713,523,361,330,231,1236,1825,1773,1452,1325,1412,1646,2544,2889,2702,2448,2316,1887,1558,1126,845,804,823,603,874,866,695,631,687,825,1320,1479,1343,1207,1166,973,825,587,467,476,568,633,951,907,757,694,725,821,1224,1410,1359,1241,1150,914,733,539,378,328,255,1185,1749,1827,1482,1307,1369,1591,2345,2884,2688,2532,2292,1956,1639,1189,842,795,884,572,843,876,724,633,656,792,1214,1474,1349,1279,1147,1017,869,614,458,470,609,613,906,951,758,674,713,799,1131,1410,1339,1253,1145,939,770,575,384,325,275,1075,1656,1842,1498,1314,1301,1495,2106,2910,2680,2550,2321,2000,1678,1303,845,765,924,541,792,882,725,636,622,732,1072,1499,1352,1286,1161,1039,883,681,463,453,633,534,864,960,773,678,679,763,1034,1411,1328,1264,1160,961,795,622,382,312,291,1016,1508,1918,1599,1347,1253,1463,1925,2836,2734,2580,2267,2111,1746,1360,911,741,945,496,743,913,770,649,596,706,974,1476,1422,1273,1133,1103,908,714,506,436,636,520,765,1005,829,698,657,757,951,1360,1312,1307,1134,1008,838,646,405,305,309,974,1417,1879,1705,1372,1288,1399,1751,2749,2834,2606,2330,2174,1754,1443,1001,690,954,480,693,891,805,644,628,689,869,1452,1481,1308,1149,1110,918,774,548,407,656,494,724,988,900,728,660,710,882,1297,1353,1298,1181,1064,836,669,453,283,298,910,1291,1841,1801,1428,1332,1374,1688,2569,2898,2668,2406,2248,1839,1475,1036,732,961,444,624,870,878,677,631,670,861,1327,1530,1335,1185,1143,971,796,558,436,664,466,667,971,923,751,701,704,827,1242,1368,1333,1221,1105,868,679,478,296,297,868,1241,1779,1852,1468,1287,1333,1637,2376,2879,2644,2496,2257,1893,1552,1092,722,998,424,596,858,883,705,611,657,830,1233,1499,1317,1259,1146,1002,842,585,422,681,444,645,921,969,763,676,676,807,1143,1380,1327,1237,1111,891,710,507,300,317,17,26,38,52,44,40,53,44,44,44,35,34,59,61,68,38,30,34,7,14,17,27,17,21,28,24,15,19,20,16,23,40,29,27,19,25,10,12,21,25,27,19,25,20,29,25,15,18,36,21,39,11,11,9,15,21,33,45,57,41,44,60,38,47,40,31,50,62,78,43,30,37,6,9,22,12,32,19,22,30,18,17,24,12,24,33,40,29,17,27,8,11,11,32,25,22,22,30,21,30,16,19,26,29,39,14,14,10,12,19,33,42,53,41,36,54,35,46,39,31,44,55,69,57,29,39,5,7,20,14,29,20,17,27,12,19,20,16,19,25,40,34,17,30,7,12,13,28,24,21,19,27,23,27,19,15,25,30,29,23,12,9,12,18,30,40,53,44,41,52,37,48,41,29,41,56,67,56,29,45,5,8,16,14,28,19,20,25,17,19,18,17,16,26,42,28,20,33,7,10,14,26,25,25,21,27,20,29,23,12,25,30,25,28,9,12,14,16,26,41,51,49,42,54,45,47,44,34,39,60,54,64,35,55,7,7,14,14,26,21,22,25,23,17,18,20,16,26,38,27,24,38,7,9,12,27,25,28,20,29,22,30,26,14,23,34,16,37,11,17,17,16,21,39,50,52,49,45,53,46,46,41,31,58,55,66,35,33,8,7,10,20,19,24,21,22,26,20,17,22,15,25,36,29,25,23,9,9,11,19,31,28,28,23,27,26,29,19,16,33,19,37,10,10,22,13,19,37,48,54,47,40,58,43,48,41,29,45,57,68,37,34,9,7,8,23,13,28,21,17,29,19,17,24,10,22,31,37,24,23,13,6,11,14,35,26,26,23,29,24,31,17,19,23,26,31,13,11,22,12,17,36,48,54,42,41,55,44,48,41,33,41,53,64,48,38,12,6,6,22,16,28,19,15,28,16,20,22,16,17,25,38,28,27,10,6,11,14,32,26,23,26,27,28,28,19,17,24,28,26,20,11,22,13,15,29,44,56,49,44,51,46,51,37,30,37,52,64,46,41,9,7,7,16,15,29,21,17,24,19,22,17,18,14,24,39,23,31,13,6,8,13,29,27,28,27,27,27,29,20,12,23,28,25,23,10,22,15,15,27,42,50,46,43,48,56,45,38,35,35,56,48,56,38,8,9,7,15,13,25,20,20,22,26,17,15,21,15,24,35,26,29,14,6,8,12,29,25,26,23,26,30,28,23,14,20,32,13,30,9,24,19,19,21,35,51,49,45,53,59,46,39,39,31,53,49,59,33,9,10,9,10,17,18,23,18,24,25,19,14,22,15,23,33,29,24,15,9,10,11,18,33,26,27,29,34,27,25,17,16,30,16,30,9,23,21,22,19,36,47,53,39,44,64,49,44,35,30,42,52,58,37,11,10,11,8,17,12,27,17,17,27,20,17,19,12,21,30,31,26,12,11,11,11,19,35,26,22,27,37,29,27,16,18,21,22,27,11,19,23,20,17,39,44,52,37,41,64,47,48,38,30,39,47,55,45,6,14,9,7,21,12,25,15,17,28,16,21,18,15,17,23,34,30,13,9,11,10,18,32,27,22,24,36,31,27,20,15,22,24,21,15,16,30,21,16,32,41,57,44,40,58,51,54,33,30,34,51,51,47,6,13,10,7,16,14,26,15,16,24,20,22,16,16,14,24,31,30,10,17,11,9,16,27,31,29,24,34,31,32,17,14,20,27,20,17,18,30,23,16,29,46,50,45,34,56,54,53,36,33,33,48,43,50,9,12,12,7,13,19,24,17,13,25,23,19,16,17,16,22,30,28,9,18,11,9,16,27,26,28,21,31,31,34,20,16,17,26,13,22,26,31,22,23,25,42,49,50,37,55,56,47,41,37,31,44,42,45,13,13,10,10,11,22,19,22,15,21,24,18,15,19,15,22,26,25,13,18,12,13,14,20,30,28,22,34,32,29,26,18,16,22,16,20,25,29,22,22,23,36,46,54,35,48,61,45,46,35,31,34,43,50,11,14,10,10,8,20,14,26,14,19,25,17,18,18,12,20,24,31,14,15,12,12,15,16,32,28,21,29,36,28,28,17,19,14,19,19,25,26,24,22,21,40,40,53,33,46,57,44,45,38,31,32,38,53,14,9,14,8,8,19,13,27,14,17,25,13,21,18,14,17,18,37,11,17,10,14,13,21,27,26,19,29,32,31,24,20,17,15,20,16,28,24,30,25,19,37,41,61,41,42,54,49,50,33,29,31,41,50,14,11,14,9,8,16,18,28,16,17,21,18,22,15,14,15,21,35,14,13,16,16,11,21,23,33,25,25,33,31,28,18,15,16,20,15,31,28,30,23,22,36,47,56,45,35,54,53,51,35,33,30,42,45,19,12,14,10,10,18,23,27,17,14,25,21,19,16,15,16,20,32,12,16,16,13,12,18,24,29,28,21,29,32,32,19,18,14,22,13,26,30,32,19,18,35,41,51,54,39,46,56,47,38,38,29,35,48,16,14,15,9,8,15,25,22,22,15,21,24,18,14,19,15,19,30,10,16,17,10,10,20,16,29,32,24,25,32,29,24,19,14,16,18,18,29,34,22,21,26,43,47,59,36,44,54,46,45,31,26,31,56,13,13,18,9,10,9,25,15,27,14,17,22,18,18,17,10,19,34,5,16,16,13,11,17,18,32,32,22,27,32,28,27,14,16,12,22,23,28,30,24,20,25,46,50,54,36,44,53,47,46,35,26,30,52,13,12,12,14,7,12,23,21,24,13,18,22,15,21,17,12,18,31,10,16,18,10,13,13,23,29,30,23,26,31,32,25,18,14,12,21,24,36,23,28,24,21,36,45,60,45,42,50,45,51,33,29,28,50,13,17,10,12,10,13,17,23,28,14,15,20,17,22,15,14,16,31,11,19,13,16,14,8,19,22,32,31,27,30,28,29,18,15,12,19,23,38,26,29,24,18,39,47,64,50,34,50,48,52,33,31,27,47,10,19,13,13,11,10,20,21,31,16,13,21,20,19,16,13,16,27,13,19,13,16,13,8,19,26,33,34,21,29,28,33,17,18,11,20,30,31,32,29,20,20,37,43,59,57,38,49,50,49,41,35,23,45,17,16,16,13,9,12,17,23,24,20,14,22,21,18,15,17,13,29,13,15,16,16,11,8,20,20,35,37,24,27,29,31,26,18,10,16,176,155,137,183,217,404,339,269,172,135,110,112,144,154,104,70,39,32,100,80,63,83,112,216,153,121,70,67,51,68,72,79,56,40,26,26,76,74,74,100,105,188,186,148,102,68,59,44,72,75,48,30,13,6,115,154,135,154,177,316,381,262,194,148,113,98,135,150,117,75,50,30,70,77,66,68,84,170,186,113,88,69,52,59,68,76,67,45,31,25,45,77,69,86,93,146,195,149,106,79,61,39,67,74,50,30,19,5,209,188,147,151,215,356,440,301,242,153,141,94,136,165,134,86,50,35,101,103,75,63,108,190,213,135,105,69,64,57,72,85,74,51,30,30,108,86,72,88,107,166,227,167,137,83,77,37,64,80,60,35,20,5,207,197,156,150,229,403,482,321,269,170,149,108,119,155,129,88,46,37,91,105,80,68,110,213,236,145,117,78,65,58,67,78,67,54,25,30,116,92,76,82,119,190,246,176,152,92,84,50,52,77,62,34,21,7,237,195,176,147,236,408,504,367,290,192,149,115,114,141,140,88,52,39,107,102,94,71,113,214,243,168,126,83,70,51,69,71,73,53,31,29,130,93,82,76,123,194,261,199,164,109,79,64,45,70,67,35,21,10,240,204,178,148,220,415,503,420,282,206,164,123,111,135,140,97,56,39,114,107,95,69,102,216,239,193,129,90,73,52,65,70,76,59,34,28,126,97,83,79,118,199,264,227,153,116,91,71,46,65,64,38,22,11,276,198,172,154,197,419,484,449,295,218,173,130,99,134,144,97,60,36,134,99,88,75,98,216,227,206,128,100,78,53,58,71,74,60,36,24,142,99,84,79,99,203,257,243,167,118,95,77,41,63,70,37,24,12,289,205,170,148,179,384,496,449,301,247,160,151,96,124,151,104,62,36,138,95,94,76,86,199,250,208,127,112,74,63,52,69,78,60,36,23,151,110,76,72,93,185,246,241,174,135,86,88,44,55,73,44,26,13,324,216,171,151,184,406,536,482,321,270,175,161,107,113,144,108,72,41,154,96,96,77,89,205,265,233,136,120,84,69,53,65,75,59,44,27,170,120,75,74,95,201,271,249,185,150,91,92,54,48,69,49,28,14,339,246,179,163,194,473,557,508,366,280,187,170,114,116,138,117,76,45,162,107,95,81,105,239,269,245,158,124,85,77,53,69,73,62,46,32,177,139,84,82,89,234,288,263,208,156,102,93,61,47,65,55,30,13,359,252,205,168,209,522,621,541,424,289,202,184,134,116,139,127,78,47,169,112,108,89,112,264,298,254,198,141,93,81,58,69,71,73,46,30,190,140,97,79,97,258,323,287,226,148,109,103,76,47,68,54,32,17,373,273,209,175,214,510,669,536,450,300,220,182,144,111,134,137,76,48,167,132,102,91,116,267,311,254,210,145,105,81,63,64,72,75,49,31,206,141,107,84,98,243,358,282,240,155,115,101,81,47,62,62,27,17,441,278,231,181,219,555,729,577,462,334,254,179,164,108,124,145,88,49,206,125,101,100,124,285,332,281,202,160,123,83,73,58,69,78,55,30,235,153,130,81,95,270,397,296,260,174,131,96,91,50,55,67,33,19,464,316,226,188,215,501,747,615,486,362,267,200,162,123,119,136,91,61,223,147,98,96,115,272,345,291,233,164,127,101,69,60,69,75,53,37,241,169,128,92,100,229,402,324,253,198,140,99,93,63,50,61,38,24,449,346,258,196,215,441,779,636,518,393,284,212,165,122,118,132,93,66,211,171,117,97,114,241,371,298,255,179,131,103,74,58,68,73,55,43,238,175,141,99,101,200,408,338,263,214,153,109,91,64,50,59,38,23,466,363,267,216,208,374,785,677,536,443,287,223,176,138,112,123,99,65,216,171,125,110,111,198,379,321,257,210,140,105,81,62,67,63,64,44,250,192,142,106,97,176,406,356,279,233,147,118,95,76,45,60,35,21,467,383,272,217,203,335,735,730,528,483,302,232,181,146,110,111,106,67,227,178,131,104,101,185,373,339,249,230,147,108,83,65,65,62,62,46,240,205,141,113,102,150,362,391,279,253,155,124,98,81,45,49,44,21,435,420,271,231,204,307,685,755,552,488,333,263,174,162,114,105,118,70,219,196,122,104,109,172,348,348,273,222,159,127,84,75,61,60,65,49,216,224,149,127,95,135,337,407,279,266,174,136,90,87,53,45,53,21,418,434,300,228,213,285,598,758,578,479,352,267,193,159,121,103,108,76,210,211,142,100,117,146,318,355,277,238,158,132,100,75,61,59,62,49,208,223,158,128,96,139,280,403,301,241,194,135,93,84,60,44,46,27,425,439,336,242,201,259,514,794,588,509,370,277,204,161,122,103,107,82,211,207,164,110,102,139,272,393,282,251,173,132,104,77,60,59,63,52,214,232,172,132,99,120,242,401,306,258,197,145,100,84,62,44,44,30,378,457,348,243,216,254,437,790,633,505,403,271,219,170,126,99,96,97,180,221,165,117,111,148,224,393,304,246,193,137,111,78,60,63,49,62,198,236,183,126,105,106,213,397,329,259,210,134,108,92,66,36,47,35,368,451,366,259,231,248,383,728,695,502,437,283,227,176,139,95,93,97,170,219,172,129,108,142,209,369,324,241,213,145,114,85,65,59,54,59,198,232,194,130,123,106,174,359,371,261,224,138,113,91,74,36,39,38,345,419,402,263,240,230,359,665,704,525,450,310,236,175,150,93,80,101,157,211,192,121,107,135,189,347,328,267,215,150,121,88,72,54,49,60,188,208,210,142,133,95,170,318,376,258,235,160,115,87,78,39,31,41,302,398,424,290,221,232,341,570,721,559,454,331,260,190,154,103,77,104,143,197,207,130,95,133,179,303,350,270,232,150,132,100,71,56,48,62,159,201,217,160,126,99,162,267,371,289,222,181,128,90,83,47,29,42,270,384,433,313,252,220,305,507,743,560,492,349,276,200,153,104,81,108,136,187,205,143,116,114,169,279,371,269,245,166,134,102,73,56,46,67,134,197,228,170,136,106,136,228,372,291,247,183,142,98,80,48,35,41,246,345,459,344,248,256,284,445,724,616,481,386,282,207,162,113,83,100,115,167,213,156,114,136,155,238,362,304,237,189,143,105,79,59,52,61,131,178,246,188,134,120,129,207,362,312,244,197,139,102,83,54,31,39,60,56,87,115,121,157,140,105,73,73,87,94,111,79,87,58,31,32,33,26,41,60,58,76,69,39,36,42,43,44,53,43,49,37,23,21,27,30,45,56,64,81,71,66,37,30,43,50,59,35,37,21,8,11,38,53,70,107,117,130,133,104,81,74,81,77,115,79,83,64,41,34,22,28,32,58,51,66,58,47,39,35,46,35,54,40,45,41,27,25,16,25,38,49,66,64,75,57,42,39,35,42,61,39,38,23,14,9,33,54,68,100,116,122,135,113,82,78,84,74,113,85,80,73,41,30,18,32,28,53,54,62,60,53,37,38,46,35,54,38,42,50,27,23,16,22,40,48,62,60,75,60,45,39,37,38,59,47,37,24,15,7,32,43,69,89,104,123,114,120,92,70,79,73,95,95,74,74,42,35,17,24,31,47,48,64,55,52,43,32,45,36,43,44,43,48,28,28,15,19,38,42,56,59,59,68,49,38,34,37,52,51,31,26,14,7,71,46,64,95,114,131,146,126,108,72,84,76,95,102,67,79,46,37,33,26,26,46,57,70,70,60,42,36,48,38,42,47,38,47,34,30,38,20,38,49,57,61,76,66,66,36,36,38,53,55,29,32,12,7,71,48,57,90,124,139,145,135,107,83,87,83,83,109,71,75,43,32,34,24,28,41,67,67,71,62,41,42,46,46,37,49,43,41,33,27,37,24,29,49,57,72,74,73,66,41,41,37,46,60,28,34,10,5,79,57,62,83,126,141,138,137,120,89,89,88,79,109,70,71,46,37,37,26,27,39,69,62,69,61,56,41,43,48,37,51,39,41,35,30,42,31,35,44,57,79,69,76,64,48,46,40,42,58,31,30,11,7,86,67,71,83,113,160,149,146,129,92,93,89,77,106,76,68,59,32,42,29,35,35,57,78,74,68,63,42,46,50,37,50,38,39,44,26,44,38,36,48,56,82,75,78,66,50,47,39,40,56,38,29,15,6,93,80,61,86,111,150,165,145,136,108,82,90,79,97,90,63,58,30,47,36,31,40,57,71,83,64,64,52,38,49,38,42,47,37,39,24,46,44,30,46,54,79,82,81,72,56,44,41,41,55,43,26,19,6,97,83,66,76,100,154,154,165,136,113,80,88,80,98,96,61,58,39,45,36,36,32,49,78,83,73,62,52,39,50,38,43,48,37,33,31,52,47,30,44,51,76,71,92,74,61,41,38,42,55,48,24,25,8,108,83,73,64,102,142,165,170,148,109,82,92,87,85,101,68,54,37,54,41,37,35,50,77,77,82,63,49,40,48,48,38,49,41,28,30,54,42,36,29,52,65,88,88,85,60,42,44,39,47,52,27,26,7,109,90,72,76,106,179,192,174,158,129,97,98,90,83,101,68,57,38,57,44,35,37,57,97,76,86,67,64,42,48,50,38,49,37,31,29,52,46,37,39,49,82,116,88,91,65,55,50,40,45,52,31,26,9,129,93,85,83,110,189,243,203,187,150,96,99,94,84,99,74,60,43,63,47,40,43,60,95,121,93,86,73,43,50,53,40,50,35,33,32,66,46,45,40,50,94,122,110,101,77,53,49,41,44,49,39,27,11,140,109,87,83,118,217,262,254,194,158,113,99,92,85,93,82,53,54,64,51,45,41,63,120,128,107,94,66,57,50,52,41,43,44,31,37,76,58,42,42,55,97,134,147,100,92,56,49,40,44,50,38,22,17,165,116,94,89,103,245,305,264,230,168,125,96,98,83,95,89,49,56,79,50,46,46,52,133,141,115,110,71,59,49,55,42,45,45,30,39,86,66,48,43,51,112,164,149,120,97,66,47,43,41,50,44,19,17,157,127,89,95,110,229,315,288,236,186,128,95,103,86,82,97,53,49,71,62,44,46,62,121,155,120,112,77,58,47,56,49,40,45,31,32,86,65,45,49,48,108,160,168,124,109,70,48,47,37,42,52,22,17,168,133,102,96,118,211,331,309,236,193,144,107,101,86,82,96,56,50,81,67,45,48,62,119,161,126,113,79,72,51,52,49,40,48,28,35,87,66,57,48,56,92,170,183,123,114,72,56,49,37,42,48,28,15,179,141,111,100,112,195,308,324,240,206,163,106,103,88,82,85,66,50,89,72,50,49,61,107,143,145,106,96,77,46,56,50,41,46,31,35,90,69,61,51,51,88,165,179,134,110,86,60,47,38,41,39,35,15,185,145,120,99,104,179,287,322,260,208,176,124,101,89,82,83,65,52,92,70,54,49,56,94,148,145,112,100,73,64,50,52,43,40,35,39,93,75,66,50,48,85,139,177,148,108,103,60,51,37,39,43,30,13,175,159,133,98,94,146,272,324,260,241,182,133,102,92,79,85,66,46,90,72,59,49,50,86,132,149,115,112,76,63,52,54,42,41,35,32,85,87,74,49,44,60,140,175,145,129,106,70,50,38,37,44,31,14,189,161,144,98,101,137,258,319,291,240,199,135,96,99,82,76,71,48,95,71,72,47,49,82,131,151,131,110,80,63,50,54,48,38,36,33,94,90,72,51,52,55,127,168,160,130,119,72,46,45,34,38,35,15,181,170,143,100,102,135,235,329,312,239,215,163,109,98,84,74,72,48,84,79,70,47,54,70,127,151,139,112,90,78,54,53,47,38,38,35,97,91,73,53,48,65,108,178,173,127,125,85,55,45,37,36,34,13,175,180,156,111,109,140,224,324,331,253,224,188,110,108,87,75,65,54,82,89,75,54,57,74,118,153,153,111,105,91,52,56,51,39,36,36,93,91,81,57,52,66,106,171,178,142,119,97,58,52,36,36,29,18,175,185,157,128,115,125,219,311,334,266,240,187,127,102,93,70,67,67,80,97,73,64,63,69,117,148,156,111,119,74,67,51,54,36,35,45,95,88,84,64,52,56,102,163,178,155,121,113,60,51,39,34,32,22,160,174,183,136,113,124,210,312,337,267,273,191,138,99,102,68,72,70,76,89,87,66,57,67,109,152,158,118,127,78,69,49,64,35,37,43,84,85,96,70,56,57,101,160,179,149,146,113,69,50,38,33,35,27,149,181,178,152,107,132,183,284,361,299,254,222,144,104,103,71,63,80,66,88,84,86,52,68,99,143,174,133,120,90,72,50,61,41,31,50,83,93,94,66,55,64,84,141,187,166,134,132,72,54,42,30,32,30,707,757,823,1051,1080,1236,1360,1356,1131,966,813,649,863,741,640,413,328,252,328,360,397,502,520,616,694,653,514,444,409,346,433,397,332,250,235,195,379,397,426,550,560,620,666,703,618,522,404,303,430,344,308,162,93,57,743,832,814,1062,1171,1400,1671,1592,1370,1118,936,690,827,854,649,484,308,274,351,380,410,510,558,722,838,786,627,506,445,351,444,444,336,281,211,207,392,452,404,552,613,678,833,806,743,612,491,339,383,410,313,203,97,67,766,824,793,973,1158,1362,1670,1606,1439,1151,962,719,796,832,654,489,321,280,369,379,395,475,554,702,834,791,661,528,441,379,413,432,350,272,223,208,397,445,398,499,604,660,836,814,778,623,521,339,382,401,303,217,98,71,855,885,877,978,1233,1659,1926,1864,1676,1244,1072,839,768,932,689,582,318,322,404,428,416,489,609,859,944,901,782,581,483,433,402,477,377,323,209,251,451,457,461,489,624,800,982,963,894,663,589,406,366,455,312,259,109,71,1052,932,975,1010,1333,1861,2314,2151,1894,1451,1223,926,795,999,757,607,337,364,506,460,455,499,675,974,1121,1042,901,651,568,472,418,510,418,334,212,280,546,472,520,511,658,887,1193,1109,993,800,655,454,377,489,339,273,125,84,1214,993,1009,1023,1345,1947,2616,2359,2067,1625,1303,1023,795,1007,813,590,359,306,591,479,465,501,693,1000,1311,1126,993,721,581,519,417,520,446,327,219,233,623,514,544,522,652,947,1305,1233,1074,904,722,504,378,487,367,263,140,73,1382,1075,1061,1005,1325,2047,2807,2559,2194,1759,1397,1141,820,969,881,607,397,308,652,529,477,499,688,1049,1398,1227,1043,802,641,539,427,510,481,333,236,226,730,546,584,506,637,998,1409,1332,1151,957,756,602,393,459,400,274,161,82,1572,1138,1107,1035,1343,2223,3094,2791,2387,1903,1473,1198,897,940,884,649,431,323,740,543,508,509,692,1168,1535,1345,1136,851,668,574,473,486,481,369,253,238,832,595,599,526,651,1055,1559,1446,1251,1052,805,624,424,454,403,280,178,85,1748,1245,1142,1116,1366,2341,3394,3053,2524,2105,1555,1287,1002,893,971,664,481,333,817,598,538,545,694,1264,1659,1480,1201,953,712,601,527,463,526,384,290,241,931,647,604,571,672,1077,1735,1573,1323,1152,843,686,475,430,445,280,191,92,1891,1354,1141,1177,1375,2399,3493,3244,2675,2261,1634,1385,1049,905,1006,708,487,358,897,649,563,540,703,1272,1742,1553,1262,1042,741,644,539,474,538,416,292,251,994,705,578,637,672,1127,1751,1691,1413,1219,893,741,510,431,468,292,195,107,1961,1473,1179,1189,1356,2345,3570,3453,2830,2381,1782,1440,1153,880,998,785,486,399,922,708,566,538,679,1223,1770,1668,1349,1108,792,664,598,452,537,465,286,283,1039,765,613,651,677,1122,1800,1785,1481,1273,990,776,555,428,461,320,200,116,1967,1597,1266,1242,1378,2314,3513,3730,2995,2482,1923,1529,1234,884,990,838,520,412,929,753,620,554,684,1194,1755,1776,1408,1169,867,709,612,463,546,490,312,283,1038,844,646,688,694,1120,1758,1954,1587,1313,1056,820,622,421,444,348,208,129,2038,1770,1284,1274,1395,2234,3471,3750,3162,2630,2054,1586,1274,952,970,829,554,443,1005,826,612,576,695,1137,1727,1788,1510,1248,926,735,629,505,526,481,347,295,1033,944,672,698,700,1097,1744,1962,1652,1382,1128,851,645,447,444,348,207,148,2086,1849,1387,1287,1387,2070,3305,3850,3289,2715,2193,1602,1363,1048,889,891,576,471,1042,890,657,601,683,1054,1669,1848,1558,1285,989,756,661,554,476,512,362,320,1044,959,730,686,704,1016,1636,2002,1731,1430,1204,846,702,494,413,379,214,151,1989,1937,1479,1251,1391,1936,3113,3752,3368,2803,2319,1665,1416,1064,887,914,612,478,990,925,705,615,635,985,1584,1828,1613,1315,1067,785,698,555,474,522,394,329,999,1012,774,636,756,951,1529,1924,1755,1488,1252,880,718,509,413,392,218,149,1958,1961,1594,1284,1338,1764,2893,3691,3469,2889,2410,1772,1425,1165,865,893,657,494,986,927,769,630,616,882,1477,1778,1676,1364,1141,818,682,614,458,515,412,342,972,1034,825,654,722,882,1416,1913,1793,1525,1269,954,743,551,407,378,245,152,1895,1972,1660,1307,1288,1592,2634,3514,3596,2948,2452,1853,1458,1210,855,871,680,524,964,949,785,636,585,795,1358,1707,1747,1399,1172,858,708,617,454,499,421,360,931,1023,875,671,703,797,1276,1807,1849,1549,1280,995,750,593,401,372,259,164,1774,2010,1771,1277,1266,1461,2348,3377,3554,3069,2541,1962,1492,1226,913,861,674,568,871,1000,833,605,594,745,1207,1682,1723,1477,1233,911,730,626,496,485,398,395,903,1010,938,672,672,716,1141,1695,1831,1592,1308,1051,762,600,417,376,276,173,1634,2011,1797,1378,1225,1354,2092,3179,3547,3130,2564,2067,1459,1280,1017,792,712,595,780,1006,872,662,591,677,1084,1615,1725,1513,1245,966,721,650,555,443,422,410,854,1005,925,716,634,677,1008,1564,1822,1617,1319,1101,738,630,462,349,290,185,1505,1951,1909,1458,1193,1360,1938,2976,3553,3172,2652,2199,1531,1311,1011,799,734,649,738,993,927,696,605,643,1008,1522,1747,1537,1275,1043,753,676,535,452,427,448,767,958,982,762,588,717,930,1454,1806,1635,1377,1156,778,635,476,347,307,201,1412,1921,1943,1555,1202,1305,1746,2736,3490,3246,2739,2264,1647,1332,1074,770,740,695,709,994,924,746,582,622,901,1408,1738,1596,1331,1106,793,656,579,435,438,482,703,927,1019,809,620,683,845,1328,1752,1650,1408,1158,854,676,495,335,302,213,1370,1873,1957,1644,1243,1263,1681,2567,3356,3422,2829,2337,1750,1387,1110,757,734,697,683,960,952,784,611,596,881,1331,1669,1684,1362,1154,838,687,583,430,440,489,687,913,1005,860,632,667,800,1236,1687,1738,1467,1183,912,700,527,327,294,208,1267,1811,1993,1740,1238,1299,1610,2407,3256,3428,2948,2406,1841,1433,1150,796,734,712,649,886,1013,815,596,639,831,1251,1633,1682,1438,1174,887,718,603,453,441,494,618,925,980,925,642,660,779,1156,1623,1746,1510,1232,954,715,547,343,293,218,1183,1696,2022,1808,1343,1315,1582,2255,3133,3471,3068,2464,1977,1434,1209,890,667,753,614,807,1036,869,634,657,804,1170,1602,1702,1497,1195,950,729,631,500,405,513,569,889,986,939,709,658,778,1085,1531,1769,1571,1269,1027,705,578,390,262,240,1197,1570,2014,1921,1449,1311,1629,2216,3106,3540,3175,2636,2112,1515,1242,907,670,765,577,783,1032,923,692,652,804,1131,1612,1771,1540,1269,1033,749,659,500,411,512,620,787,982,998,757,659,825,1085,1494,1769,1635,1367,1079,766,583,407,259,253,1102,1527,1997,1966,1526,1268,1591,2080,2999,3534,3279,2721,2212,1629,1257,982,626,813,506,773,1026,932,743,612,781,1072,1547,1761,1611,1337,1097,787,647,546,384,550,596,754,971,1034,783,656,810,1008,1452,1773,1668,1384,1115,842,610,436,242,263,19,23,33,44,46,51,30,31,49,42,39,47,75,61,52,37,25,18,6,12,19,24,21,26,10,11,22,21,23,28,31,26,32,21,18,12,13,11,14,20,25,25,20,20,27,21,16,19,44,35,20,16,7,6,15,23,24,43,58,36,41,25,43,50,39,38,71,63,55,42,26,15,8,9,15,26,27,18,16,8,17,23,23,26,33,28,26,27,18,11,7,14,9,17,31,18,25,17,26,27,16,12,38,35,29,15,8,4,9,22,27,45,43,36,35,29,35,50,43,36,64,71,52,45,25,22,6,8,15,27,19,20,16,10,13,24,23,25,28,33,23,30,16,18,3,14,12,18,24,16,19,19,22,26,20,11,36,38,29,15,9,4,7,21,25,40,41,42,37,29,33,46,47,42,49,70,62,41,27,23,5,6,15,24,21,21,20,10,10,23,26,27,19,34,30,26,15,21,2,15,10,16,20,21,17,19,23,23,21,15,30,36,32,15,12,2,17,16,21,40,43,46,39,30,29,53,45,36,54,69,57,44,26,27,13,6,11,24,24,20,20,11,9,25,22,21,29,31,25,27,16,23,4,10,10,16,19,26,19,19,20,28,23,15,25,38,32,17,10,4,15,19,22,31,42,51,38,32,27,50,52,35,42,67,58,46,29,22,12,8,11,19,26,20,18,13,8,21,25,20,26,30,25,28,19,18,3,11,11,12,16,31,20,19,19,29,27,15,16,37,33,18,10,4,18,16,21,26,47,53,35,39,23,47,54,38,39,66,58,46,33,20,12,8,9,16,30,26,15,15,8,17,24,22,25,30,28,25,21,15,6,8,12,10,17,27,20,24,15,30,30,16,14,36,30,21,12,5,20,13,20,24,50,45,41,34,28,40,51,41,36,60,64,44,36,17,14,8,8,13,32,22,21,12,10,13,24,22,24,25,32,22,24,12,6,5,12,11,18,23,20,22,18,27,27,19,12,35,32,22,12,5,29,10,19,22,47,43,41,38,29,37,43,48,40,47,64,53,34,20,16,7,5,13,30,24,20,16,10,10,22,27,25,18,33,25,23,12,13,3,14,9,17,19,21,22,19,27,21,21,15,29,31,28,11,8,28,15,17,21,42,41,44,41,34,30,51,43,37,52,62,46,35,21,15,11,6,11,25,27,22,18,12,8,25,22,23,27,26,20,24,12,13,4,11,10,17,14,22,23,22,22,26,21,14,25,36,26,11,9,26,15,17,24,32,43,44,38,40,28,49,45,35,42,64,50,36,19,14,12,7,10,19,30,22,17,13,9,21,24,22,25,27,20,23,12,12,3,10,14,13,13,22,21,27,19,28,21,13,17,37,30,13,7,24,18,15,22,27,42,44,33,43,27,47,44,39,39,63,50,36,21,12,12,8,8,16,27,24,13,14,11,17,22,24,24,29,22,20,13,12,6,7,14,11,15,20,20,29,16,30,22,15,15,34,28,16,8,25,18,13,20,26,40,40,37,42,29,37,47,41,34,61,48,34,22,12,12,8,8,14,24,20,18,13,12,13,24,23,24,26,23,17,15,13,6,5,12,12,16,20,19,29,17,24,23,18,10,35,25,17,7,20,25,9,20,26,35,43,37,42,32,35,42,47,39,47,52,41,23,10,14,8,6,15,21,23,16,16,12,11,21,27,25,20,24,22,15,10,11,1,14,11,14,20,21,26,20,24,21,20,14,27,28,19,8,19,25,14,16,23,32,38,41,40,37,28,50,41,36,53,49,37,28,7,14,12,6,11,17,22,17,16,14,8,25,21,23,28,21,18,20,12,11,2,10,12,15,16,24,24,23,20,25,20,13,25,28,19,8,18,26,13,16,23,26,41,43,35,44,23,49,43,34,42,56,36,35,6,15,12,7,9,12,25,17,14,16,8,21,23,22,25,24,18,23,12,11,1,9,14,14,16,26,21,28,15,28,20,12,17,32,18,12,15,25,15,15,24,22,42,41,31,47,24,43,45,38,38,55,33,30,5,15,11,8,9,11,21,18,12,16,10,16,23,24,24,26,18,18,10,10,4,7,15,11,21,23,19,31,14,27,22,14,14,29,15,12,16,24,15,14,22,26,34,36,40,42,32,32,51,41,33,56,36,26,8,12,11,9,8,12,16,14,20,14,13,12,26,23,24,26,20,16,8,12,4,5,14,14,18,22,20,28,19,20,25,18,9,30,16,10,13,19,22,10,23,23,32,34,38,42,36,29,44,47,37,42,39,30,7,9,14,8,5,11,15,15,18,18,13,10,23,27,24,20,20,19,6,10,8,2,18,12,17,19,20,24,23,19,21,20,13,22,19,11,7,19,27,17,20,21,29,35,40,42,39,22,48,42,36,44,38,30,4,7,15,14,5,7,14,19,16,18,15,5,26,21,23,26,17,20,3,12,12,3,15,14,15,16,24,24,24,17,22,21,13,18,21,10,9,18,28,15,22,22,23,37,38,31,44,20,47,43,32,32,45,30,4,6,15,13,7,8,11,23,13,12,16,6,21,24,21,22,21,19,5,12,13,2,15,14,12,14,25,19,28,14,26,19,11,10,24,11,14,15,26,18,22,22,21,39,39,26,47,23,40,46,37,28,47,29,4,5,14,12,10,9,13,20,17,9,18,7,16,24,24,21,23,19,10,10,12,6,12,13,8,19,22,17,29,16,24,22,13,7,24,10,14,16,25,18,16,21,26,32,39,32,44,33,30,49,40,26,47,30,3,8,11,12,7,9,15,15,16,16,15,12,12,27,23,21,22,19,11,8,14,6,9,12,11,17,23,16,29,21,18,22,17,5,25,11,18,13,20,22,15,27,23,31,37,33,40,38,28,43,46,31,34,35,7,7,7,13,11,7,14,14,17,14,17,14,8,24,27,22,16,22,11,6,13,9,4,20,9,17,20,19,23,24,20,19,19,9,18,13,26,10,21,26,16,25,22,34,37,36,36,47,21,49,41,30,36,35,12,6,7,12,11,7,12,16,20,14,16,18,4,28,23,20,22,20,14,4,14,14,5,18,10,18,17,22,20,29,17,21,18,10,14,15,25,11,19,28,15,28,23,30,36,42,34,48,23,46,40,28,28,44,13,6,4,14,11,11,11,14,22,16,13,18,6,23,24,18,20,24,12,5,15,14,4,17,12,16,14,26,21,30,17,23,16,10,8,20,44,49,59,61,55,75,108,92,68,59,49,49,74,89,82,51,44,58,22,18,28,33,21,37,49,38,29,20,16,26,33,48,41,26,27,34,22,31,31,28,34,38,59,54,39,39,33,23,41,41,41,25,17,24,36,47,55,68,51,71,92,104,73,71,40,55,53,82,75,68,40,54,20,19,22,37,16,36,45,46,32,24,15,22,23,44,43,33,24,32,16,28,33,31,35,35,47,58,41,47,25,33,30,38,32,35,16,22,23,49,54,64,49,60,81,110,78,64,48,55,45,87,73,66,42,61,14,20,21,31,19,25,40,53,30,21,21,21,20,43,39,31,23,39,9,29,33,33,30,35,41,58,47,43,27,34,25,44,34,35,18,23,24,50,49,59,58,64,76,110,86,64,52,54,43,73,79,63,39,60,14,23,18,28,27,29,36,51,33,27,18,20,20,36,41,31,23,39,10,27,31,31,31,35,40,59,53,37,34,34,23,37,38,32,16,21,22,48,44,60,62,61,69,100,89,66,59,45,50,67,80,61,41,61,12,26,15,27,32,29,33,46,35,27,19,17,25,32,40,32,22,43,10,22,29,33,30,32,36,54,54,39,40,28,25,35,40,29,19,18,33,43,44,58,75,71,68,93,108,72,62,43,50,64,80,57,50,51,20,23,16,26,35,32,33,46,45,31,18,18,25,27,37,35,24,38,13,20,28,32,40,39,35,47,63,41,44,25,25,37,43,22,26,13,42,40,54,60,71,79,71,81,105,78,68,44,54,51,79,62,55,50,25,19,23,22,34,33,36,41,44,34,22,17,24,22,39,32,26,34,17,21,31,38,37,46,35,40,61,44,46,27,30,29,40,30,29,16,50,32,59,57,81,75,79,86,105,87,70,58,55,43,89,62,53,54,29,16,26,21,37,37,35,44,47,38,26,24,25,22,41,34,24,36,21,16,33,36,44,38,44,42,58,49,44,34,30,21,48,28,29,18,46,38,55,52,70,77,71,81,103,95,67,63,57,45,77,72,53,57,26,23,23,18,34,40,31,42,42,40,33,22,22,23,35,40,28,35,20,15,32,34,36,37,40,39,61,55,34,41,35,22,42,32,25,22,56,43,55,52,73,75,89,75,109,97,72,68,53,56,66,71,50,55,28,23,24,18,35,39,44,37,48,37,33,24,21,29,30,36,29,31,28,20,31,34,38,36,45,38,61,60,39,44,32,27,36,35,21,24,51,43,55,50,67,74,97,75,105,110,71,77,47,54,68,72,46,59,25,27,25,18,34,33,51,34,49,44,31,26,18,28,31,33,28,33,26,16,30,32,33,41,46,41,56,66,40,51,29,26,37,39,18,26,60,53,55,55,73,86,93,94,105,116,79,84,49,52,57,72,51,56,26,28,26,20,29,38,39,43,52,48,35,29,18,22,27,38,27,32,34,25,29,35,44,48,54,51,53,68,44,55,31,30,30,34,24,24,57,59,47,65,68,95,94,100,94,115,94,78,60,51,46,80,50,52,22,30,26,27,28,43,41,43,49,47,44,28,24,20,25,35,29,28,35,29,21,38,40,52,53,57,45,68,50,50,36,31,21,45,21,24,55,60,56,66,65,90,95,104,98,118,100,81,72,58,42,76,53,56,23,31,29,30,25,44,38,52,50,48,43,34,27,21,22,34,28,32,32,29,27,36,40,46,57,52,48,70,57,47,45,37,20,42,25,24,46,69,51,64,66,84,86,104,100,122,103,80,81,52,49,67,52,60,19,32,22,31,25,47,34,53,46,56,41,34,30,17,25,33,27,36,27,37,29,33,41,37,52,51,54,66,62,46,51,35,24,34,25,24,58,63,60,60,60,76,95,112,90,118,119,75,83,47,49,61,57,55,24,31,29,25,27,35,42,55,42,54,48,30,29,16,24,29,31,35,34,32,31,35,33,41,53,57,48,64,71,45,54,31,25,32,26,20,47,68,60,65,62,79,85,106,98,116,117,85,87,49,50,50,56,59,22,28,32,28,30,32,37,49,47,58,47,35,32,16,21,25,33,33,25,40,28,37,32,47,48,57,51,58,70,50,55,33,29,25,23,26,55,65,69,53,66,66,100,91,107,106,124,99,74,61,50,41,63,55,32,27,36,26,31,30,45,42,50,54,50,41,25,24,20,24,32,31,23,38,33,27,35,36,55,49,57,52,74,58,49,37,30,17,31,24,52,61,67,57,60,67,93,91,93,101,126,103,72,70,55,35,60,55,30,27,34,27,28,29,45,39,45,51,53,43,30,25,21,21,31,32,22,34,33,30,32,38,48,52,48,50,73,60,42,45,34,14,29,23,55,48,71,53,62,59,95,80,98,99,128,110,71,81,51,42,50,57,30,19,34,23,30,24,51,33,49,45,60,44,31,28,19,24,28,34,25,29,37,30,32,35,44,47,49,54,68,66,40,53,32,18,22,23,48,58,62,57,66,61,79,86,114,94,115,123,73,83,47,44,48,62,24,29,28,27,32,26,40,38,55,44,56,51,32,30,18,25,26,36,24,29,34,30,34,35,39,48,59,50,59,72,41,53,29,19,22,26,48,49,71,64,66,64,77,92,104,102,107,126,79,85,49,44,43,67,24,27,33,34,32,31,37,45,52,44,56,56,36,34,17,19,25,40,24,22,38,30,34,33,40,47,52,58,51,70,43,51,32,25,18,27,46,52,64,67,55,68,71,99,87,105,96,126,87,71,63,45,37,66,22,29,28,37,28,28,35,51,45,44,50,57,37,29,26,19,21,39,24,23,36,30,27,40,36,48,42,61,46,69,50,42,37,26,16,27,48,49,62,63,47,59,70,99,87,96,105,124,101,68,71,52,30,68,26,24,28,34,24,26,36,54,40,44,52,55,39,31,32,21,15,41,22,25,34,29,23,33,34,45,47,52,53,69,62,37,39,31,15,27,40,51,49,68,51,59,56,108,87,103,110,121,106,67,78,48,37,60,20,28,22,34,23,26,28,60,37,51,51,57,44,29,32,20,21,35,20,23,27,34,28,33,28,48,50,52,59,64,62,38,46,28,16,25,41,47,54,64,57,57,54,95,86,110,103,112,123,66,79,51,43,64,19,23,28,31,30,26,27,47,39,57,49,54,51,28,33,22,23,40,22,24,26,33,27,31,27,48,47,53,54,58,72,38,46,29,20,24,312,353,398,526,561,542,534,481,413,417,349,282,264,215,168,135,74,75,151,178,176,249,298,285,265,244,211,204,168,138,124,113,86,78,45,54,162,175,222,277,263,257,269,238,202,212,181,144,140,102,82,57,29,21,299,342,348,480,590,528,577,476,417,446,361,278,295,209,190,142,85,78,141,171,164,220,308,263,298,233,210,213,175,146,139,104,99,81,48,56,158,171,184,260,282,265,279,243,207,233,186,132,156,105,91,61,37,22,306,327,355,452,600,596,620,493,462,428,404,309,303,236,199,147,88,94,150,148,168,212,292,304,311,242,221,206,204,155,143,111,109,79,49,67,157,179,187,240,308,292,309,251,241,222,200,154,160,126,90,68,39,26,319,325,359,405,576,664,659,553,490,398,406,345,285,241,209,154,103,86,160,161,171,184,286,343,331,267,226,209,190,170,134,116,112,85,62,63,159,164,188,221,290,321,328,286,264,189,216,175,151,125,97,69,41,23,355,328,377,401,560,691,676,581,519,392,438,351,296,255,216,154,110,86,166,158,187,191,272,359,341,280,248,202,208,174,140,122,113,85,68,63,189,170,190,210,288,332,335,301,271,190,230,177,156,133,103,69,42,23,358,339,369,394,524,689,692,631,522,420,445,373,288,280,218,176,109,84,173,160,197,185,253,365,349,307,254,219,206,182,133,140,115,97,67,57,185,179,172,209,271,324,343,324,268,201,239,191,155,140,103,79,42,27,366,328,378,376,501,664,698,684,530,435,443,370,279,300,197,198,114,84,182,152,193,184,237,354,352,331,250,220,214,179,143,146,99,109,72,60,184,176,185,192,264,310,346,353,280,215,229,191,136,154,98,89,42,24,410,335,347,378,471,619,759,695,548,463,401,409,310,296,220,196,120,98,199,162,172,185,234,312,385,336,260,224,200,209,158,144,114,112,73,70,211,173,175,193,237,307,374,359,288,239,201,200,152,152,106,84,47,28,429,377,337,389,436,617,763,715,574,503,381,411,345,294,227,197,136,104,194,185,170,190,214,320,389,352,274,237,203,204,175,139,117,113,82,73,235,192,167,199,222,297,374,363,300,266,178,207,170,155,110,84,54,31,460,394,342,398,421,585,753,729,608,532,393,424,344,294,249,205,129,108,202,190,165,202,213,294,392,359,279,261,208,208,174,142,129,115,78,72,258,204,177,196,208,291,361,370,329,271,185,216,170,152,120,90,51,36,454,410,362,387,416,566,755,731,643,537,417,439,360,274,273,211,152,103,205,196,172,207,200,282,390,377,303,261,225,209,182,134,141,119,92,64,249,214,190,180,216,284,365,354,340,276,192,230,178,140,132,92,60,39,446,437,366,425,400,550,758,754,698,538,450,443,366,274,290,197,168,117,201,201,178,218,201,271,398,380,346,256,234,216,181,146,148,106,102,73,245,236,188,207,199,279,360,374,352,282,216,227,185,128,142,91,66,44,449,458,391,405,410,534,712,802,724,555,478,414,397,313,286,217,164,117,205,212,200,197,200,268,365,424,354,265,236,213,203,152,149,116,102,76,244,246,191,208,210,266,347,378,370,290,242,201,194,161,137,101,62,41,453,457,415,387,415,473,702,797,741,576,511,393,414,331,285,219,171,132,193,212,215,200,198,235,361,418,368,274,238,217,198,164,146,117,101,87,260,245,200,187,217,238,341,379,373,302,273,176,216,167,139,102,70,45,437,473,436,371,430,448,686,797,727,599,526,391,442,339,288,240,180,138,194,223,216,183,216,229,347,420,370,283,252,216,209,173,148,126,106,94,243,250,220,188,214,219,339,377,357,316,274,175,233,166,140,114,74,44,429,470,439,409,427,461,669,816,760,636,525,429,443,365,265,260,184,153,196,223,217,201,228,225,344,418,393,306,257,231,207,181,137,138,107,102,233,247,222,208,199,236,325,398,367,330,268,198,236,184,128,122,77,51,453,481,449,404,446,457,647,826,776,672,535,448,445,378,266,279,172,173,215,241,227,195,225,231,332,432,382,335,265,230,217,189,142,152,94,111,238,240,222,209,221,226,315,394,394,337,270,218,228,189,124,127,78,62,443,453,486,403,403,448,599,796,792,681,548,473,410,407,293,277,184,176,199,212,243,202,199,231,299,416,398,345,262,235,208,210,146,148,101,118,244,241,243,201,204,217,300,380,394,336,286,238,202,197,147,129,83,58,399,471,477,433,391,434,526,767,822,714,561,513,385,425,319,269,179,186,181,212,233,221,199,214,270,406,421,362,275,251,209,206,164,140,95,123,218,259,244,212,192,220,256,361,401,352,286,262,176,219,155,129,84,63,412,456,501,442,381,444,498,721,838,734,585,525,379,443,325,266,192,189,185,202,251,221,186,230,268,364,442,378,278,263,209,215,171,138,105,120,227,254,250,221,195,214,230,357,396,356,307,262,170,228,154,128,87,69,390,460,484,442,392,409,469,662,841,752,620,510,415,432,351,246,218,195,178,202,243,218,191,218,244,348,430,397,306,260,226,211,176,129,120,118,212,258,241,224,201,191,225,314,411,355,314,250,189,221,175,117,98,77,390,465,483,448,396,412,480,640,851,765,672,529,440,445,364,244,235,194,188,218,236,229,184,209,244,342,439,395,339,266,237,224,180,134,133,111,202,247,247,219,212,203,236,298,412,370,333,263,203,221,184,110,102,83,375,446,470,492,421,374,480,593,811,817,689,550,468,407,381,270,237,203,176,203,221,242,206,177,232,318,420,432,362,267,240,216,196,143,133,122,199,243,249,250,215,197,248,275,391,385,327,283,228,191,185,127,104,81,343,441,496,521,444,367,479,558,789,828,709,573,502,393,400,297,235,223,164,200,222,230,222,177,229,297,416,429,370,284,259,217,196,161,131,132,179,241,274,291,222,190,250,261,373,399,339,289,243,176,204,136,104,91,316,429,480,510,442,372,446,534,732,841,710,581,533,391,418,304,226,239,160,190,220,239,210,178,218,282,367,440,376,285,276,218,212,167,124,139,156,239,260,271,232,194,228,252,365,401,334,296,257,173,206,137,102,100,313,404,493,475,454,397,408,513,689,848,744,610,534,418,424,321,209,258,157,178,223,234,218,187,206,256,355,441,398,303,274,233,217,167,113,160,156,226,270,241,236,210,202,257,334,407,346,307,260,185,207,154,96,98,84,95,133,178,163,185,156,160,133,161,109,124,153,154,143,98,63,73,39,45,55,84,83,75,87,83,64,78,53,59,72,91,82,67,50,56,45,50,78,94,80,110,69,77,69,83,55,65,81,63,61,31,13,16,51,96,124,161,170,173,162,165,139,160,134,96,152,141,157,102,73,74,25,44,61,75,88,73,83,88,75,75,68,46,75,81,94,65,61,56,26,52,63,86,82,100,79,77,64,85,66,50,77,60,63,37,12,18,65,101,119,142,192,166,151,167,153,149,139,105,146,141,164,105,76,78,33,47,55,70,91,73,79,87,85,66,78,50,77,70,102,63,58,61,33,54,64,72,101,94,72,80,68,82,61,55,69,71,62,42,17,16,59,90,115,138,183,166,161,166,155,152,155,107,139,144,163,112,73,81,30,41,58,60,90,79,74,93,80,73,78,55,70,72,99,71,53,62,29,49,57,78,93,87,87,73,75,79,77,52,69,72,64,41,20,19,59,87,102,141,177,156,173,158,164,143,155,108,137,147,150,124,75,80,26,43,50,63,88,78,67,89,85,67,81,54,68,72,93,75,52,63,33,44,52,78,89,78,106,69,79,76,74,54,69,75,57,49,23,17,64,86,97,127,168,178,170,154,170,145,157,125,120,159,131,131,80,78,29,46,51,57,79,87,71,85,87,71,80,61,60,79,78,87,56,59,35,40,46,70,89,91,99,69,83,74,77,64,60,80,53,44,24,19,59,79,100,121,150,159,178,156,171,149,159,143,107,163,127,138,72,80,28,38,50,60,73,79,74,80,93,78,77,75,49,86,75,90,50,65,31,41,50,61,77,80,104,76,78,71,82,68,58,77,52,48,22,15,62,67,108,115,141,173,170,161,169,169,154,156,124,149,132,151,82,90,29,34,55,53,71,86,77,82,87,88,69,91,62,80,68,99,54,73,33,33,53,62,70,87,93,79,82,81,85,65,62,69,64,52,28,17,62,69,100,118,140,176,169,174,173,180,158,165,128,143,136,146,102,92,27,36,47,62,59,92,84,79,93,91,76,88,67,74,74,93,70,72,35,33,53,56,81,84,85,95,80,89,82,77,61,69,62,53,32,20,66,62,96,114,143,172,168,185,172,190,158,170,132,152,148,139,108,94,34,26,47,57,57,87,92,78,91,97,73,91,66,83,76,88,74,75,32,36,49,57,86,85,76,107,81,93,85,79,66,69,72,51,34,19,60,67,90,110,138,174,184,179,167,197,165,173,148,133,156,124,118,84,27,32,46,60,56,79,99,77,91,102,77,89,76,70,80,76,83,68,33,35,44,50,82,95,85,102,76,95,88,84,72,63,76,48,35,16,66,68,80,108,147,168,171,200,168,192,162,177,158,123,154,124,129,88,31,32,42,54,72,80,93,93,88,106,79,83,85,60,85,74,89,75,35,36,38,54,75,88,78,107,80,86,83,94,73,63,69,50,40,13,77,85,65,117,138,155,180,179,176,189,173,165,164,128,142,122,122,87,33,42,31,59,64,79,88,85,93,101,93,76,89,65,80,64,83,71,44,43,34,58,74,76,92,94,83,88,80,89,75,63,62,58,39,16,76,78,75,102,127,158,184,179,176,185,174,166,171,140,133,123,114,101,32,41,35,50,65,65,90,91,86,101,93,85,87,74,72,67,78,79,44,37,40,52,62,93,94,88,90,84,81,81,84,66,61,56,36,22,73,73,74,95,118,157,186,169,189,173,181,156,171,130,144,121,103,112,33,39,33,47,58,67,98,87,86,94,97,74,94,67,80,65,68,86,40,34,41,48,60,90,88,82,103,79,84,82,77,63,64,56,35,26,77,71,78,95,111,147,176,184,183,169,190,160,177,142,124,136,93,126,30,35,38,50,60,70,83,94,85,92,99,80,95,73,70,73,59,99,47,36,40,45,51,77,93,90,98,77,91,80,82,69,54,63,34,27,86,69,81,84,107,146,159,169,186,164,177,161,169,156,106,139,88,127,35,34,38,44,57,78,72,89,84,83,97,83,87,84,55,78,55,96,51,35,43,40,50,68,87,80,102,81,80,78,82,72,51,61,33,31,78,78,85,63,106,132,137,177,164,167,179,161,158,169,105,129,96,136,37,37,41,30,60,65,70,86,77,86,93,85,79,94,59,76,53,98,41,41,44,33,46,67,67,91,87,81,86,76,79,75,46,53,43,38,79,78,77,72,95,107,135,170,163,173,176,162,158,167,113,116,95,131,38,36,40,33,52,61,62,81,84,81,96,82,84,89,62,68,57,91,41,42,37,39,43,46,73,89,79,92,80,80,74,78,51,48,38,40,89,78,72,68,94,99,135,168,157,178,167,169,147,167,110,117,95,118,42,37,36,28,52,54,60,88,84,78,91,91,72,95,60,70,56,82,47,41,36,40,42,45,75,80,73,100,76,78,75,72,50,47,39,36,78,84,70,72,95,91,131,165,163,165,152,180,149,161,128,106,94,111,35,38,34,35,50,50,62,80,84,76,86,92,75,92,69,62,57,76,43,46,36,37,45,41,69,85,79,89,66,88,74,69,59,44,37,35,67,86,65,77,85,90,128,162,146,183,143,175,146,161,139,94,100,109,32,37,30,35,45,44,63,80,77,83,78,99,74,85,80,52,64,77,35,49,35,42,40,46,65,82,69,100,65,76,72,76,59,42,36,32,57,88,69,78,70,101,118,138,160,163,154,180,158,157,145,91,99,115,22,44,31,35,33,53,57,68,77,80,83,97,86,81,85,55,66,78,35,44,38,43,37,48,61,70,83,83,71,83,72,76,60,36,33,37,52,80,75,67,82,99,105,135,158,160,164,180,162,157,149,95,91,113,25,40,31,32,38,54,56,54,81,84,83,100,88,82,82,60,57,78,27,40,44,35,44,45,49,81,77,76,81,80,74,75,67,35,34,35,40,85,70,67,77,97,93,136,166,148,178,164,172,155,157,99,96,117,20,39,31,36,35,53,44,55,89,81,82,91,96,75,89,60,60,81,20,46,39,31,42,44,49,81,77,67,96,73,76,80,68,39,36,36,36,82,83,64,76,102,95,128,163,156,166,156,190,160,154,112,88,115,16,35,37,34,37,54,46,61,80,85,76,92,99,83,91,62,52,80,20,47,46,30,39,48,49,67,83,71,90,64,91,77,63,50,36,35,415,470,582,748,875,910,833,731,656,698,552,484,663,566,455,305,206,140,198,214,290,362,443,434,396,352,331,343,262,262,325,274,242,179,127,107,217,256,292,386,432,476,437,379,325,355,290,222,338,292,213,126,79,33,414,435,532,732,872,960,915,769,685,695,630,451,627,594,489,342,187,162,194,208,251,356,452,479,427,365,349,340,303,228,322,298,241,194,119,122,220,227,281,376,420,481,488,404,336,355,327,223,305,296,248,148,68,40,435,439,537,694,878,975,943,783,706,677,681,465,598,610,500,362,202,171,208,202,257,342,443,490,445,360,348,336,350,219,321,298,251,202,131,125,227,237,280,352,434,485,498,423,358,342,331,246,277,313,248,161,71,46,455,470,500,646,841,1019,978,798,679,678,716,516,529,612,500,398,210,173,222,214,239,309,431,516,456,377,322,339,376,236,287,306,246,216,135,129,233,256,261,337,410,503,522,421,357,339,340,280,242,306,254,182,75,44,506,449,480,615,802,1048,1014,845,734,652,699,550,481,642,510,405,239,176,253,207,221,297,386,531,471,396,353,328,351,263,256,328,250,220,154,131,253,242,259,318,416,517,543,449,381,324,348,287,225,314,260,185,85,45,483,462,468,581,794,1032,1018,872,769,653,702,577,439,645,535,409,254,183,238,232,218,270,383,517,475,402,370,326,354,284,236,336,262,224,157,137,245,230,250,311,411,515,543,470,399,327,348,293,203,309,273,185,97,46,517,451,453,551,781,973,1031,912,783,674,680,620,437,593,549,415,263,189,260,224,216,250,378,475,509,431,363,346,344,302,222,312,288,219,164,136,257,227,237,301,403,498,522,481,420,328,336,318,215,281,261,196,99,53,520,442,458,539,736,939,1012,925,780,687,669,654,448,563,553,428,281,191,254,219,213,252,366,472,488,447,350,341,342,341,214,310,283,232,175,136,266,223,245,287,370,467,524,478,430,346,327,313,234,253,270,196,106,55,522,468,478,518,683,937,1044,964,799,688,665,693,500,501,551,438,308,201,252,241,221,251,332,471,499,466,371,322,342,371,237,278,285,236,190,144,270,227,257,267,351,466,545,498,428,366,323,322,263,223,266,202,118,57,536,518,466,499,664,937,1043,996,839,740,641,675,531,469,569,438,310,220,254,261,219,228,333,454,489,481,399,356,331,352,265,257,302,229,192,159,282,257,247,271,331,483,554,515,440,384,310,323,266,212,267,209,118,61,561,513,488,486,628,950,1046,1001,870,766,640,683,569,427,589,462,313,231,260,258,237,231,311,467,501,482,411,363,328,356,286,237,316,245,191,163,301,255,251,255,317,483,545,519,459,403,312,327,283,190,273,217,122,68,588,564,485,477,599,943,1102,1013,932,801,675,680,617,414,549,487,336,251,273,284,234,226,285,461,541,482,438,374,349,349,307,222,296,272,192,179,315,280,251,251,314,482,561,531,494,427,326,331,310,192,253,215,144,72,618,583,491,480,612,879,1111,1027,940,817,697,670,644,437,519,488,336,261,295,284,243,225,292,440,555,475,454,372,344,346,346,218,293,269,200,180,323,299,248,255,320,439,556,552,486,445,353,324,298,219,226,219,136,81,624,582,513,501,580,790,1080,1039,979,833,697,665,679,485,464,487,346,278,290,276,265,243,273,387,540,489,470,395,323,344,376,238,265,266,203,195,334,306,248,258,307,403,540,550,509,438,374,321,303,247,199,221,143,83,615,575,555,500,553,746,1028,1038,1001,847,742,651,662,508,437,500,366,299,302,279,283,243,264,372,506,501,491,401,355,332,355,257,247,282,204,216,313,296,272,257,289,374,522,537,510,446,387,319,307,251,190,218,162,83,582,600,548,512,511,673,979,1037,980,873,778,638,660,544,407,504,385,308,288,282,274,254,242,337,483,503,476,416,368,328,349,281,235,283,211,220,294,318,274,258,269,336,496,534,504,457,410,310,311,263,172,221,174,88,576,596,563,484,509,609,900,1062,964,895,787,667,650,586,387,483,402,328,283,280,282,236,246,287,448,531,478,431,364,351,343,300,216,273,236,220,293,316,281,248,263,322,452,531,486,464,423,316,307,286,171,210,166,108,512,582,572,484,487,568,816,1031,954,897,784,679,630,616,403,460,395,360,238,285,276,246,226,273,416,521,466,446,358,340,339,336,206,275,225,240,274,297,296,238,261,295,400,510,488,451,426,339,291,280,197,185,170,120,488,599,550,501,484,530,726,991,941,913,791,664,636,640,438,411,399,375,240,282,261,265,227,254,358,501,458,454,379,315,339,364,217,251,230,250,248,317,289,236,257,276,368,490,483,459,412,349,297,276,221,160,169,125,446,594,548,532,460,497,675,927,968,916,811,709,619,626,470,399,415,391,207,293,268,271,214,240,333,466,470,460,390,338,328,345,242,233,252,254,239,301,280,261,246,257,342,461,498,456,421,371,291,281,228,166,163,137,418,566,561,519,480,460,616,877,973,926,837,725,619,627,506,374,430,398,200,285,265,261,236,218,303,446,467,461,406,344,322,341,271,220,260,260,218,281,296,258,244,242,313,431,506,465,431,381,297,286,235,154,170,138,396,554,573,546,457,462,552,830,996,918,860,737,653,620,548,360,419,429,197,271,269,277,226,228,261,414,493,464,425,341,346,331,288,206,252,290,199,283,304,269,231,234,291,416,503,454,435,396,307,289,260,154,167,139,379,527,580,553,453,430,524,788,994,941,855,746,671,619,584,371,402,424,196,239,281,271,227,207,256,396,504,464,427,347,339,332,330,194,250,291,183,288,299,282,226,223,268,392,490,477,428,399,332,287,254,177,152,133,343,506,594,542,477,440,479,726,965,953,889,764,657,624,617,405,363,423,172,244,278,264,247,211,232,359,493,462,448,366,319,334,354,207,229,290,171,262,316,278,230,229,247,367,472,491,441,398,338,290,263,198,134,133,328,479,574,545,514,423,470,660,910,971,915,784,689,612,601,430,356,442,162,231,282,270,262,202,236,331,453,467,469,381,335,325,341,230,220,306,166,248,292,275,252,221,234,329,457,504,446,403,354,287,260,200,136,136,314,450,575,576,496,463,482,600,865,1003,924,818,708,615,604,463,332,454,154,221,292,265,251,230,246,304,431,484,472,389,348,318,334,259,206,306,160,229,283,311,245,233,236,296,434,519,452,429,360,297,270,204,126,148,78,98,122,166,179,161,147,139,135,129,125,115,125,137,132,102,55,50,37,50,58,75,75,85,61,63,64,66,64,52,67,69,70,66,35,31,41,47,64,91,104,76,86,76,71,63,61,62,58,68,61,36,20,19,70,93,100,145,173,169,150,145,122,142,107,112,118,129,132,107,63,64,33,50,42,70,78,84,63,63,56,75,52,53,67,64,61,71,39,43,37,43,58,75,95,85,87,82,66,67,55,59,51,65,71,36,24,21,44,100,97,126,167,163,147,154,107,140,108,120,120,125,130,109,74,69,20,57,38,63,72,82,62,69,53,69,51,61,65,60,67,63,49,45,24,43,59,63,95,80,85,85,54,70,57,58,55,64,62,46,25,24,33,90,92,121,166,160,135,149,121,138,100,125,108,124,125,112,77,70,15,51,38,61,71,71,67,62,60,64,52,61,60,64,65,62,52,47,18,39,54,60,95,89,68,87,61,74,48,64,48,60,60,50,25,23,52,81,93,112,150,162,140,134,133,121,114,110,111,114,126,109,85,70,27,42,42,56,62,68,74,52,66,54,59,58,55,64,67,61,55,47,25,39,51,56,88,94,66,82,67,67,55,52,56,50,59,48,30,23,45,67,94,97,154,146,142,118,135,122,124,101,104,114,117,113,77,67,25,32,49,42,68,61,73,49,59,56,66,53,52,61,61,66,49,48,20,35,45,55,86,85,69,69,76,66,58,48,52,53,56,47,28,19,88,71,98,102,157,178,179,150,158,132,148,105,113,116,122,116,90,60,47,35,53,46,77,84,81,64,67,63,70,52,56,65,63,60,63,42,41,36,45,56,80,94,98,86,91,69,78,53,57,51,59,56,27,18,80,66,103,105,136,187,173,164,167,121,142,109,118,126,118,116,89,64,44,30,60,44,68,86,83,66,73,58,62,55,65,66,60,65,56,47,36,36,43,61,68,101,90,98,94,63,80,54,53,60,58,51,33,17,82,75,97,102,141,196,181,157,177,138,137,111,120,114,128,105,89,71,43,40,55,43,67,84,86,76,70,68,57,58,64,61,68,59,54,54,39,35,42,59,74,112,95,81,107,70,80,53,56,53,60,46,35,17,78,73,90,106,136,188,170,170,168,150,128,128,111,109,118,109,93,74,40,42,47,49,66,80,75,84,64,72,55,64,64,52,67,60,57,55,38,31,43,57,70,108,95,86,104,78,73,64,47,57,51,49,36,19,70,80,88,100,115,202,177,172,156,158,137,142,104,98,116,109,99,76,36,47,42,51,52,85,83,80,63,68,62,69,57,51,64,57,62,57,34,33,46,49,63,117,94,92,93,90,75,73,47,47,52,52,37,19,58,93,83,106,111,173,200,171,160,163,135,152,105,109,103,108,92,80,34,49,39,55,53,72,92,82,69,68,65,72,53,53,59,60,51,60,24,44,44,51,58,101,108,89,91,95,70,80,52,56,44,48,41,20,69,92,78,106,112,162,203,157,162,178,128,145,115,107,112,103,92,87,38,48,34,60,46,75,94,80,72,71,63,62,56,57,59,58,56,64,31,44,44,46,66,87,109,77,90,107,65,83,59,50,53,45,36,23,79,82,82,104,102,154,205,160,152,179,139,140,116,110,101,110,88,91,39,41,43,58,45,73,94,76,72,67,68,58,56,57,58,61,52,65,40,41,39,46,57,81,111,84,80,112,71,82,60,53,43,49,36,26,80,82,82,100,104,143,201,167,160,166,147,132,140,100,98,107,93,89,36,40,44,50,48,70,92,75,83,60,68,55,65,57,47,63,52,65,44,42,38,50,56,73,109,92,77,106,79,77,75,43,51,44,41,24,78,75,88,89,108,116,191,170,171,155,157,145,145,96,87,102,92,94,35,37,49,42,54,56,84,84,83,61,66,64,69,52,41,61,50,68,43,38,39,47,54,60,107,86,88,94,91,81,76,44,46,41,42,26,76,70,93,89,103,111,174,187,175,160,165,139,154,93,98,92,91,95,35,37,49,42,51,52,73,89,88,70,65,65,73,45,46,57,50,64,41,33,44,47,52,59,101,98,87,90,100,74,81,48,52,35,41,31,73,70,86,81,109,99,162,179,161,167,173,133,144,108,92,104,84,96,31,37,47,37,61,44,72,88,75,77,69,65,63,52,49,57,48,64,42,33,39,44,48,55,90,91,86,90,104,68,81,56,43,47,36,32,70,74,75,80,105,103,136,193,155,156,170,134,138,107,99,99,85,101,31,37,38,40,59,47,64,92,68,77,67,64,59,53,53,55,49,69,39,37,37,40,46,56,72,101,87,79,103,70,79,54,46,44,36,32,75,78,76,81,95,103,125,182,163,164,166,146,128,122,93,93,85,99,33,37,40,42,49,49,63,86,71,84,65,69,55,59,55,47,52,63,42,41,36,39,46,54,62,96,92,80,101,77,73,63,38,46,33,36,67,91,73,82,86,103,115,177,171,164,151,151,131,132,92,83,89,97,24,44,38,45,45,50,60,78,84,81,60,65,61,66,50,43,53,62,43,47,35,37,41,53,55,99,87,83,91,86,70,66,42,40,36,35,64,94,67,81,83,99,105,156,185,160,156,156,125,144,89,88,87,102,28,42,35,44,43,50,49,70,89,77,68,63,62,71,46,45,54,67,36,52,32,37,40,49,56,86,96,83,88,93,63,73,43,43,33,35,61,85,83,84,69,109,95,150,180,152,164,168,117,135,101,88,91,107,28,32,45,47,31,58,43,67,84,72,75,67,61,62,54,51,54,72,33,53,38,37,38,51,52,83,96,80,89,101,56,73,47,37,37,35,65,81,89,78,72,98,102,135,194,159,154,169,130,128,103,91,83,111,32,33,44,45,38,52,47,62,88,74,77,64,67,58,54,54,50,72,33,48,45,33,34,46,55,73,106,85,77,105,63,70,49,37,33,39,50,89,89,79,74,86,111,130,184,167,165,163,145,119,114,88,80,121,26,39,44,45,40,40,50,62,87,76,84,62,73,52,59,55,45,82,24,50,45,34,34,46,61,68,97,91,81,101,72,67,55,33,35,39,42,75,108,77,87,90,118,126,192,177,174,158,157,124,131,85,77,117,23,31,58,42,47,43,49,63,88,86,84,64,74,61,65,51,42,78,19,44,50,35,40,47,69,63,104,91,90,94,83,63,66,34,35,39,113,135,248,367,338,221,236,277,323,320,213,148,235,222,193,114,85,67,62,66,125,184,166,101,114,137,147,154,92,78,100,113,96,62,55,45,51,69,123,183,172,120,122,140,176,166,121,70,135,109,97,52,30,22,101,143,202,324,372,253,218,274,325,322,241,159,204,231,204,125,94,74,47,75,99,156,198,118,102,129,154,160,101,82,87,113,110,66,57,49,54,68,103,168,174,135,116,145,171,162,140,77,117,118,94,59,37,25,99,148,191,292,396,269,216,266,311,330,277,171,184,236,206,129,96,79,46,81,91,135,216,120,99,136,149,154,128,80,86,115,110,66,57,57,53,67,100,158,181,149,116,131,163,176,150,91,98,120,95,63,39,22,105,144,163,280,404,312,235,256,316,321,298,201,164,234,201,151,96,91,50,77,77,135,208,139,109,124,153,153,143,89,83,112,101,80,60,64,55,67,86,145,196,173,126,132,163,168,155,112,81,122,100,71,36,27,109,134,152,271,363,352,246,250,316,327,307,222,156,229,209,159,102,98,52,71,70,134,178,162,110,116,155,153,153,94,83,101,108,86,61,72,57,63,82,137,185,190,136,134,161,174,154,128,73,128,101,73,41,26,116,127,152,246,330,377,252,249,320,326,324,239,138,232,204,172,94,97,56,62,79,117,161,186,111,113,160,151,153,109,78,106,105,85,58,71,60,65,73,129,169,191,141,136,160,175,171,130,60,126,99,87,36,26,124,118,157,224,313,379,270,258,310,332,326,246,159,203,207,181,92,97,58,55,84,102,148,192,123,121,145,151,165,106,82,91,108,97,52,68,66,63,73,122,165,187,147,137,165,181,161,140,77,112,99,84,40,29,125,119,157,210,278,386,287,244,294,321,332,268,175,174,220,178,95,96,57,54,87,97,125,203,125,112,144,145,154,127,81,85,114,96,54,70,68,65,70,113,153,183,162,132,150,176,178,141,94,89,106,82,41,26,144,115,155,179,277,373,305,267,258,335,317,283,205,154,217,173,115,95,69,55,82,82,129,187,140,120,123,154,150,137,90,80,112,89,65,67,75,60,73,97,148,186,165,147,135,181,167,146,115,74,105,84,50,28,154,119,142,152,274,340,336,245,257,316,325,300,213,150,213,175,120,101,75,55,76,69,137,155,159,106,120,153,148,153,91,84,99,98,67,70,79,64,66,83,137,185,177,139,137,163,177,147,122,66,114,77,53,31,156,126,120,157,245,309,360,252,243,310,318,313,233,138,215,171,133,103,76,61,59,81,115,138,179,109,108,153,144,151,109,81,98,95,72,73,80,65,61,76,130,171,181,143,135,157,174,162,124,57,117,76,61,30,158,133,112,155,215,296,360,267,247,294,310,313,242,155,183,177,143,102,77,67,52,80,94,133,175,127,110,133,141,160,110,81,82,101,82,68,81,66,60,75,121,163,185,140,137,161,169,153,132,74,101,76,61,34,146,131,113,154,192,286,354,282,237,277,304,315,258,167,164,187,139,105,68,59,55,83,81,121,180,124,105,130,140,145,127,79,80,105,82,66,78,72,58,71,111,165,174,158,132,147,164,170,131,88,84,82,57,39,149,144,117,150,172,277,345,308,245,249,314,302,270,190,146,192,135,108,67,69,57,77,77,119,167,139,114,116,144,139,138,82,75,106,79,70,82,75,60,73,95,158,178,169,131,133,170,163,132,108,71,86,56,38,158,148,120,132,153,253,334,331,241,244,301,312,287,200,144,189,133,112,74,63,60,72,66,113,151,155,105,112,142,142,148,88,79,94,83,74,84,85,60,60,87,140,183,176,136,132,159,170,139,112,65,95,50,38,159,171,131,122,149,230,314,339,253,235,292,318,298,211,131,188,142,115,76,77,63,63,79,107,140,167,108,107,139,142,146,101,77,92,83,82,83,94,68,59,70,123,174,172,145,128,153,176,152,110,54,96,59,33,163,167,137,116,158,214,302,342,267,239,286,305,300,225,149,169,138,125,72,77,65,59,88,98,138,165,124,105,135,136,153,104,83,79,84,84,91,90,72,57,70,116,164,177,143,134,151,169,147,121,66,90,54,41,164,171,144,113,150,196,293,344,277,240,277,296,305,245,153,153,148,126,73,83,63,57,85,95,130,168,122,106,138,139,144,123,78,78,84,83,91,88,81,56,65,101,163,176,155,134,139,157,161,122,75,75,64,43,156,164,153,124,144,173,275,338,312,249,251,303,293,253,179,134,157,122,68,77,73,57,76,86,127,168,139,119,119,139,141,132,85,72,88,76,88,87,80,67,68,87,148,170,173,130,132,164,152,121,94,62,69,46,174,168,161,130,138,151,261,338,334,235,246,292,290,273,172,132,158,125,77,83,72,58,72,75,130,165,153,106,115,141,139,142,77,79,80,80,97,85,89,72,66,76,131,173,181,129,131,151,151,131,95,53,78,45,171,169,176,135,128,147,233,310,341,246,233,291,297,282,191,124,149,134,82,82,79,62,62,77,113,146,163,111,107,143,141,138,95,78,76,82,89,87,97,73,66,70,120,164,178,135,126,148,156,144,96,46,73,52,165,172,176,138,125,150,208,299,346,265,240,272,296,281,206,132,140,139,78,77,83,63,57,78,101,148,164,124,106,131,139,144,99,79,68,86,87,95,93,75,68,72,107,151,182,141,134,141,157,137,107,53,72,53,166,164,175,143,116,147,197,284,348,277,233,267,289,284,218,137,129,140,76,69,89,63,55,75,90,134,175,124,105,140,138,139,112,72,67,89,90,95,86,80,61,72,107,150,173,153,128,127,151,145,106,65,62,51,160,170,165,157,115,152,159,276,332,306,235,249,293,278,227,153,117,152,80,71,79,79,52,76,78,130,172,137,110,126,135,143,120,76,65,95,80,99,86,78,63,76,81,146,160,169,125,123,158,135,107,77,52,57,153,179,165,155,125,150,145,271,330,322,232,238,286,284,245,152,112,148,74,75,77,73,61,76,69,137,161,152,100,116,139,140,132,75,71,88,79,104,88,82,64,74,76,134,169,170,132,122,147,144,113,77,41,60,128,181,172,176,133,139,145,241,310,351,248,233,277,283,254,174,97,162,64,81,82,83,63,60,77,120,148,177,103,110,138,132,128,93,65,93,64,100,90,93,70,79,68,121,162,174,145,123,139,151,126,81,32,69,92,136,102,193,183,182,200,199,177,136,146,104,171,157,137,74,51,43,34,72,56,91,105,96,89,105,78,63,80,43,87,74,72,40,31,27,58,64,46,102,78,86,111,94,99,73,66,61,84,83,65,34,20,16,81,115,115,197,169,175,184,200,185,143,141,102,171,142,150,81,60,35,35,55,60,95,89,102,86,102,84,62,77,53,85,70,68,44,41,18,46,60,55,102,80,73,98,98,101,81,64,49,86,72,82,37,19,17,79,109,124,168,179,186,180,201,195,143,148,112,154,158,146,93,58,44,31,55,65,84,88,104,87,105,90,64,78,61,75,74,71,44,39,25,48,54,60,84,91,82,93,96,105,80,71,52,79,84,76,48,18,19,79,96,132,148,191,175,191,205,178,163,139,130,129,154,145,111,56,51,31,43,66,81,93,99,94,97,92,70,73,69,61,74,69,58,34,30,48,53,66,67,98,76,97,108,86,93,66,61,68,80,76,53,22,21,81,91,127,140,195,185,179,197,193,165,131,148,106,148,150,114,57,48,39,35,66,74,100,105,85,90,101,71,66,77,48,74,73,61,34,30,42,56,61,66,95,80,94,107,92,94,65,71,58,74,77,53,23,18,88,91,123,116,200,187,179,193,204,175,129,148,101,151,138,126,58,45,42,39,64,60,99,108,87,80,111,75,60,79,50,75,67,66,34,30,46,52,59,56,101,79,92,113,93,100,69,69,51,76,71,60,24,15,100,90,112,121,192,184,184,199,204,189,142,143,104,156,126,131,59,55,44,44,53,67,93,99,97,90,103,87,63,78,53,80,66,63,31,37,56,46,59,54,99,85,87,109,101,102,79,65,51,76,60,68,28,18,100,89,110,125,163,202,205,196,203,198,146,144,116,137,135,124,72,55,53,41,53,69,79,102,105,90,105,90,65,78,61,68,66,67,36,39,47,48,57,56,84,100,100,106,98,108,81,66,55,69,69,57,36,16,120,98,107,132,160,256,232,220,197,192,178,144,133,121,140,124,81,57,61,46,46,69,85,126,116,102,95,92,80,77,69,59,69,64,45,38,59,52,61,63,75,130,116,118,102,100,98,67,64,62,71,60,36,19,151,111,113,138,154,279,295,242,213,201,192,140,153,104,139,136,85,55,68,51,49,70,86,136,150,112,95,99,88,71,80,49,72,68,51,34,83,60,64,68,68,143,145,130,118,102,104,69,73,55,67,68,34,21,167,127,117,138,140,319,351,265,234,210,219,143,160,104,136,131,100,59,86,59,54,67,76,163,177,122,92,112,96,68,85,54,68,67,57,41,81,68,63,71,64,156,174,143,142,98,123,75,75,50,68,64,43,18,192,164,129,135,166,363,405,330,275,223,238,155,166,112,142,126,111,64,91,80,58,58,86,190,194,158,114,115,107,70,91,60,71,68,57,43,101,84,71,77,80,173,211,172,161,108,131,85,75,52,71,58,54,21,248,177,138,133,192,401,540,392,322,256,247,186,162,127,125,132,109,74,103,95,57,57,100,210,265,189,136,124,105,84,88,70,60,69,62,45,145,82,81,76,92,191,275,203,186,132,142,102,74,57,65,63,47,29,288,197,152,126,203,401,600,437,347,285,246,209,168,147,116,139,109,83,118,105,64,55,103,212,293,208,159,125,109,94,89,80,57,70,62,51,170,92,88,71,100,189,307,229,188,160,137,115,79,67,59,69,47,32,321,217,151,133,207,350,639,501,355,296,266,221,174,163,106,135,118,90,148,99,67,54,102,191,318,248,156,122,120,101,86,88,54,73,63,54,173,118,84,79,105,159,321,253,199,174,146,120,88,75,52,62,55,36,373,236,171,139,205,327,630,560,391,311,276,248,166,170,101,134,120,97,182,111,77,62,103,174,317,278,167,123,134,108,81,94,54,70,62,56,191,125,94,77,102,153,313,282,224,188,142,140,85,76,47,64,58,41,381,250,195,134,179,331,618,577,431,346,278,266,177,163,111,131,110,103,185,119,94,57,82,178,317,285,195,151,130,119,85,88,60,70,57,53,196,131,101,77,97,153,301,292,236,195,148,147,92,75,51,61,53,50,398,280,200,147,168,305,573,660,449,372,280,262,199,166,117,117,116,105,202,126,98,68,77,167,294,328,202,164,133,113,97,88,63,58,62,54,196,154,102,79,91,138,279,332,247,208,147,149,102,78,54,59,54,51,410,307,200,147,149,281,546,668,478,369,281,254,216,165,128,101,116,115,217,142,97,68,65,149,285,333,211,177,125,118,102,86,70,50,59,64,193,165,103,79,84,132,261,335,267,192,156,136,114,79,58,51,57,51,394,342,211,150,143,252,475,688,504,367,301,261,218,168,146,93,110,120,205,170,95,72,61,133,251,345,243,170,128,127,104,81,80,46,61,64,189,172,116,78,82,119,224,343,261,197,173,134,114,87,66,47,49,56,351,387,226,162,141,247,401,672,564,387,311,266,237,163,163,95,111,126,193,189,104,75,64,128,214,336,282,179,130,142,107,81,89,49,60,67,158,198,122,87,77,119,187,336,282,208,181,124,130,82,74,46,51,59,331,419,244,178,136,218,394,673,582,421,344,264,242,172,158,102,107,105,181,197,112,84,62,111,214,337,291,185,162,137,108,87,85,52,60,54,150,222,132,94,74,107,180,336,291,236,182,127,134,85,73,50,47,51,301,433,277,185,153,210,371,609,641,453,368,265,242,187,153,109,100,106,160,218,127,87,75,110,198,313,316,204,168,135,107,98,82,63,54,58,141,215,150,98,78,100,173,296,325,249,200,130,135,89,71,46,46,48,275,442,313,193,167,198,354,565,675,499,383,270,244,205,152,122,90,113,141,230,142,93,82,108,184,290,339,230,185,124,115,105,80,67,49,66,134,212,171,100,85,90,170,275,336,269,198,146,129,100,72,55,41,47,262,428,357,206,174,209,323,509,703,544,380,308,250,215,156,131,83,119,125,227,178,94,84,112,166,264,351,267,179,134,126,106,76,74,41,70,137,201,179,112,90,97,157,245,352,277,201,174,124,109,80,57,42,49,251,375,405,216,189,222,332,435,676,591,408,314,267,224,151,152,85,125,118,205,197,99,89,112,181,220,340,300,186,139,137,104,75,87,46,73,133,170,208,117,100,110,151,215,336,291,222,175,130,120,76,65,39,52,30,29,35,46,57,50,57,47,45,54,44,38,48,44,41,35,31,20,11,10,14,21,24,32,24,20,26,27,18,18,23,21,21,19,23,13,19,19,21,25,34,18,34,27,19,27,26,20,25,23,20,16,8,7,25,25,31,39,56,51,56,44,45,56,57,31,53,46,41,36,28,23,8,9,15,17,22,28,30,21,21,34,26,12,27,18,23,17,19,18,17,16,16,22,34,23,26,23,24,22,31,19,26,28,18,19,9,5,16,27,29,39,55,51,56,52,44,58,55,36,55,43,41,37,33,25,5,11,12,15,23,26,28,22,19,35,25,12,30,14,22,19,19,20,11,16,17,23,31,24,27,29,24,22,29,23,24,28,18,17,14,5,11,25,36,35,52,52,62,52,44,63,55,31,49,48,43,35,31,30,2,10,14,13,22,27,36,18,23,34,24,11,26,22,19,20,17,24,9,15,22,22,30,25,26,34,21,29,31,20,23,26,24,15,14,6,7,25,31,35,49,57,52,57,49,58,53,44,42,50,45,34,30,26,1,11,8,16,20,26,33,24,21,33,24,17,20,24,20,20,15,22,6,14,23,19,29,31,19,33,28,25,29,27,22,26,25,14,15,4,7,21,28,34,44,54,42,62,45,46,67,46,41,42,46,37,29,28,1,9,9,15,18,23,23,29,21,23,34,20,17,25,21,20,15,22,6,12,19,19,26,31,19,33,24,23,33,26,24,17,25,17,14,6,19,26,23,36,43,55,49,59,46,49,58,61,28,51,43,41,31,31,6,8,9,17,17,21,26,28,20,23,33,26,11,28,19,23,18,23,13,18,14,19,26,34,23,31,26,26,25,35,17,23,24,18,13,8,20,25,23,37,41,59,49,54,56,39,61,63,34,50,37,43,31,35,7,8,9,16,15,26,24,27,23,16,36,31,12,29,15,23,18,24,13,17,14,21,26,33,25,27,33,23,25,32,22,21,22,20,13,11,27,22,25,36,37,63,52,65,54,43,62,66,38,43,46,40,32,38,12,5,9,17,12,28,24,34,20,21,35,30,14,23,24,19,21,25,15,17,16,19,25,35,28,31,34,22,27,36,24,20,22,21,11,13,31,24,27,33,38,58,63,58,61,46,57,60,50,37,43,45,35,34,17,5,11,11,18,25,27,33,23,19,35,29,21,17,24,21,24,22,14,19,16,22,20,33,36,25,38,27,22,31,29,20,19,24,11,12,30,25,19,32,37,45,69,49,58,47,46,67,53,38,36,46,34,30,19,7,8,14,18,18,30,22,23,20,24,34,25,15,23,22,22,17,11,18,11,18,19,27,39,27,35,27,22,33,28,23,13,24,12,13,30,26,28,26,40,50,62,58,62,44,50,59,63,26,48,42,35,33,19,8,8,11,19,19,24,30,26,18,23,33,30,10,27,19,21,19,11,18,20,15,21,31,38,28,36,26,27,26,33,16,21,23,14,14,33,28,25,23,37,42,56,63,54,51,43,64,62,29,47,37,39,30,19,10,6,9,19,15,22,28,25,20,17,40,31,10,28,16,22,20,14,18,19,14,18,27,34,35,29,31,26,24,31,19,19,21,17,10,34,32,26,25,33,38,51,61,61,49,40,63,62,34,38,42,33,33,20,13,8,10,16,14,21,25,31,19,16,39,30,11,21,23,17,23,14,19,18,15,17,24,30,36,30,30,24,24,32,23,17,19,16,10,29,37,25,24,33,40,49,60,59,48,51,55,60,45,34,37,39,38,17,18,8,12,13,18,20,24,29,19,19,34,28,17,16,22,20,25,12,19,17,12,20,22,29,36,30,29,32,21,32,28,18,15,19,13,28,34,28,21,33,36,49,59,56,57,54,48,71,48,36,35,40,33,19,17,9,8,15,20,17,25,24,24,23,26,35,23,14,22,22,22,9,17,19,13,18,16,32,34,32,33,31,22,36,25,22,13,18,11,27,37,25,28,29,37,47,55,64,52,53,51,64,61,23,43,38,36,15,23,8,9,13,22,15,20,32,22,24,23,38,28,7,26,19,26,12,14,17,19,16,15,32,35,32,30,29,28,26,33,16,17,19,10,24,40,26,28,28,37,34,56,64,50,54,46,64,67,28,40,30,38,14,26,8,9,13,18,11,23,30,22,24,16,41,32,9,24,13,26,10,14,18,19,15,19,23,33,34,28,30,30,23,35,19,16,17,12,28,36,28,26,26,33,45,53,58,59,51,46,60,65,37,35,34,38,17,22,11,9,13,16,19,24,25,26,20,18,38,30,13,20,20,24,11,14,17,17,13,17,26,29,33,33,31,28,22,35,24,15,14,14,30,28,37,23,26,29,39,50,62,58,48,57,51,61,45,30,32,41,16,18,18,10,13,12,19,20,26,29,19,21,33,29,18,16,20,26,14,10,19,13,13,17,20,30,36,29,29,36,18,32,27,14,12,15,21,28,32,28,27,37,28,49,55,62,59,55,51,67,48,32,26,44,10,16,16,11,12,17,11,19,24,27,25,26,24,35,22,16,18,30,11,12,16,17,15,20,17,30,31,35,34,29,27,32,26,16,8,14,20,30,37,27,34,31,30,48,57,69,57,55,54,62,56,26,35,43,9,14,23,10,16,13,13,20,24,32,24,26,23,37,25,12,23,28,11,16,14,17,18,18,17,28,33,37,33,29,31,25,31,14,12,15,21,26,42,29,35,33,31,46,58,62,61,59,48,63,62,30,32,41,9,14,24,11,18,14,12,20,25,30,26,28,17,41,31,12,22,26,12,12,18,18,17,19,19,26,33,32,35,31,31,22,31,18,10,15,25,30,35,29,31,38,24,49,57,62,66,59,46,62,58,35,32,43,9,17,20,10,15,19,10,23,21,28,30,25,19,37,31,14,20,29,16,13,15,19,16,19,14,26,36,34,36,34,27,25,27,21,12,14,22,30,24,35,24,36,28,40,51,71,67,61,54,59,55,37,28,40,7,15,12,15,10,19,13,19,21,28,34,27,21,34,29,17,16,29,15,15,12,20,14,17,15,21,30,43,33,34,33,25,26,20,12,11,19,26,28,34,30,28,32,35,53,63,62,70,57,50,63,39,29,41,7,12,14,15,11,17,18,17,23,26,27,33,26,24,33,19,15,29,12,14,14,19,19,11,14,18,30,37,35,37,31,26,30,20,14,12,37,67,99,115,116,113,114,113,101,111,97,108,109,115,114,73,56,48,13,28,49,56,56,48,61,53,45,52,42,42,58,61,54,46,33,30,24,39,50,59,60,65,53,60,56,59,55,66,51,54,60,28,23,18,32,56,83,111,109,118,120,127,106,109,104,103,113,116,112,77,58,53,12,20,41,53,45,57,56,61,48,49,47,43,51,62,56,41,37,33,20,36,42,58,64,61,64,66,58,60,57,60,62,54,56,36,21,20,23,67,75,96,125,111,121,130,109,117,103,109,111,111,116,75,68,50,10,20,36,54,49,59,54,64,52,50,48,46,49,60,62,38,42,31,13,46,39,42,76,52,67,66,57,67,55,63,62,51,54,37,26,18,20,51,78,102,120,109,132,118,134,126,103,110,111,104,115,81,62,54,13,16,29,56,51,51,59,60,63,56,46,46,47,58,55,40,43,35,7,35,49,46,69,58,73,58,71,70,57,64,64,46,60,41,19,19,34,45,73,97,118,129,132,120,140,121,113,102,111,110,110,91,58,61,20,16,30,46,51,61,62,57,67,54,51,43,47,58,56,44,38,40,14,29,43,51,67,68,70,63,73,67,62,59,64,52,54,47,20,21,31,49,59,100,113,137,128,135,146,129,122,107,112,111,101,92,52,60,20,19,21,49,53,61,52,71,70,56,53,48,47,59,52,48,32,42,11,30,38,51,60,76,76,64,76,73,69,59,65,52,49,44,20,18,52,48,58,94,105,140,146,140,151,136,118,111,115,112,100,90,56,55,35,21,19,49,48,59,69,66,78,59,50,53,50,54,54,47,35,41,17,27,39,45,57,81,77,74,73,77,68,58,65,58,46,43,21,14,61,47,83,75,103,171,163,156,154,147,142,107,125,107,101,98,57,56,34,21,30,36,53,67,85,72,79,68,53,52,55,50,58,53,31,42,27,26,53,39,50,104,78,84,75,79,89,55,70,57,43,45,26,14,71,55,72,80,104,150,159,173,150,156,154,114,118,113,96,101,56,57,40,25,25,33,49,61,78,81,80,72,63,54,50,55,54,54,29,44,31,30,47,47,55,89,81,92,70,84,91,60,68,58,42,47,27,13,95,60,67,86,98,160,197,188,157,167,149,134,103,122,102,100,63,53,46,32,25,34,45,63,94,89,76,81,66,58,46,53,56,55,35,43,49,28,42,52,53,97,103,99,81,86,83,76,57,69,46,45,28,10,102,66,66,73,102,151,214,192,182,157,148,142,115,111,111,88,72,53,45,37,25,25,47,67,97,82,92,74,69,60,54,46,60,46,42,39,57,29,41,48,55,84,117,110,90,83,79,82,61,65,51,42,30,14,113,73,70,75,105,145,223,222,191,180,146,136,122,114,107,93,72,57,47,42,29,26,54,61,102,105,86,94,68,58,60,49,54,53,39,40,66,31,41,49,51,84,121,117,105,86,78,78,62,65,53,40,33,17,133,78,62,91,90,134,249,230,180,187,145,154,120,118,106,96,74,56,63,43,24,32,48,66,109,111,76,98,73,64,59,49,52,56,40,42,70,35,38,59,42,68,140,119,104,89,72,90,61,69,54,40,34,14,135,97,74,82,98,142,243,236,208,171,161,165,125,112,108,90,75,61,68,49,32,28,42,73,107,115,90,91,77,76,59,47,54,49,39,43,67,48,42,54,56,69,136,121,118,80,84,89,66,65,54,41,36,18,144,105,77,71,99,132,235,266,213,175,174,158,134,109,106,98,76,63,71,53,34,26,43,68,101,122,100,83,90,78,57,54,47,57,43,40,73,52,43,45,56,64,134,144,113,92,84,80,77,55,59,41,33,23,130,125,76,78,81,131,202,263,224,191,172,153,133,117,102,98,75,68,58,62,38,30,33,68,101,126,96,95,89,73,62,57,49,58,42,44,72,63,38,48,48,63,101,137,128,96,83,80,71,60,53,40,33,24,134,128,86,75,76,125,180,265,237,186,174,153,138,122,106,87,81,71,66,57,42,28,34,69,85,130,104,86,94,70,65,64,47,51,49,41,68,71,44,47,42,56,95,135,133,100,80,83,73,58,59,36,32,30,133,133,78,63,82,101,164,270,236,172,191,147,146,121,112,91,76,67,65,59,37,24,33,52,84,121,114,77,99,72,63,62,47,54,45,40,68,74,41,39,49,49,80,149,122,95,92,75,83,59,65,37,31,27,114,137,92,65,73,96,155,248,228,196,169,161,160,125,103,87,77,68,51,73,45,24,33,41,83,113,113,86,88,79,75,61,44,50,45,39,63,64,47,41,40,55,72,135,115,110,81,82,85,64,59,37,32,29,112,142,106,70,73,96,143,227,249,195,167,163,156,125,102,88,76,69,48,72,50,32,28,50,70,106,125,95,78,86,73,57,52,42,46,39,64,70,56,38,45,46,73,121,124,100,89,77,83,68,50,46,30,30,106,135,124,69,75,85,137,197,262,199,178,167,146,133,108,86,76,75,43,68,58,37,32,39,67,99,126,87,90,85,68,65,53,42,48,41,63,67,66,32,43,46,70,98,136,112,88,82,78,68,55,44,28,34,90,132,127,74,67,89,124,189,241,227,184,174,145,130,115,92,67,80,43,68,55,36,31,46,64,91,117,102,85,92,65,61,59,44,40,44,47,64,72,38,36,43,60,98,124,125,99,82,80,69,56,48,27,36,84,127,136,80,55,94,118,175,252,234,165,189,148,137,115,100,68,77,39,63,60,40,24,39,60,85,116,116,73,98,71,61,58,47,41,45,45,64,76,40,31,55,58,90,136,118,92,91,77,76,57,53,27,32,87,106,142,88,64,90,116,157,236,229,192,164,162,154,116,90,67,70,40,44,70,42,29,35,54,76,110,118,85,88,79,76,56,41,38,40,47,62,72,46,35,55,62,81,126,111,107,76,83,78,60,49,29,30,66,118,143,99,72,92,120,164,231,253,200,169,166,151,126,98,74,68,30,46,71,47,35,42,55,77,110,120,90,83,85,75,58,53,35,41,36,72,72,52,37,50,65,87,121,133,110,86,81,76,68,45,39,27,63,120,135,123,79,87,109,171,214,265,207,173,176,138,125,103,73,71,31,49,62,56,39,39,48,78,105,120,87,88,88,68,62,53,35,42,32,71,73,67,40,48,61,93,109,145,120,85,88,70,63,50,38,29,42,69,66,84,85,121,108,91,76,64,66,66,82,75,73,46,35,26,22,35,23,43,44,60,57,46,33,28,33,30,39,35,42,20,21,17,20,34,43,41,41,61,51,45,43,36,33,36,43,40,31,26,14,9,43,65,62,90,84,108,118,78,88,72,66,63,76,84,63,58,33,29,24,35,23,42,49,54,59,37,41,31,29,32,37,40,34,35,17,18,19,30,39,48,35,54,59,41,47,41,37,31,39,44,29,23,16,11,43,57,64,81,88,90,117,89,86,75,65,66,62,93,70,49,36,28,22,29,27,35,51,43,62,38,41,33,28,34,30,42,39,30,18,17,21,28,37,46,37,46,55,50,44,42,37,32,32,50,31,19,18,11,46,53,63,79,89,88,110,93,92,79,60,73,54,90,73,51,33,34,21,25,30,33,46,42,57,43,41,37,30,37,22,44,40,29,15,22,25,28,33,46,43,46,53,50,51,42,30,36,32,46,33,22,18,12,45,48,67,74,92,79,108,106,89,80,57,68,57,78,73,63,34,30,20,24,31,28,49,40,54,52,42,33,27,33,27,41,37,35,18,17,25,24,36,46,43,39,54,54,47,47,30,35,30,37,36,28,16,13,46,43,74,71,84,87,103,109,89,73,75,59,62,69,77,58,41,27,23,20,38,33,41,43,49,53,42,33,33,28,30,37,37,32,25,17,23,23,36,38,43,44,54,56,47,40,42,31,32,32,40,26,16,10,48,43,69,75,89,95,95,113,81,95,81,60,60,71,75,58,39,21,26,23,38,33,40,54,44,59,35,44,37,27,30,37,37,30,24,15,22,20,31,42,49,41,51,54,46,51,44,33,30,34,38,28,15,6,45,45,65,76,79,96,91,112,94,92,86,66,66,56,84,61,36,25,23,24,33,37,36,48,45,56,43,43,38,31,31,30,42,32,23,18,22,21,32,39,43,48,46,56,51,49,48,35,35,26,42,29,13,7,38,42,60,74,86,98,92,106,103,99,88,65,74,51,78,68,36,27,21,24,27,39,38,44,45,53,53,41,39,32,36,23,42,36,20,21,17,18,33,35,48,54,47,53,50,58,49,33,38,28,36,32,16,6,38,40,47,71,81,95,89,101,110,97,85,65,71,54,72,61,48,29,19,22,24,35,34,44,44,47,58,47,35,31,34,26,40,29,24,23,19,18,23,36,47,51,45,54,52,50,50,34,37,28,32,32,24,6,33,45,40,75,80,92,93,105,114,100,81,79,67,66,65,65,45,36,15,24,20,36,40,39,46,50,58,52,34,34,31,32,37,29,22,29,18,21,20,39,40,53,47,55,56,48,47,45,36,34,28,36,23,7,42,42,44,70,86,102,111,110,121,93,109,80,70,58,64,65,45,35,19,22,25,35,38,47,57,49,61,46,46,35,31,28,36,33,24,26,23,20,19,35,48,55,54,61,60,47,63,45,39,30,28,32,21,9,57,52,48,68,88,115,129,109,124,96,107,84,82,55,55,75,41,35,30,26,28,35,43,51,63,51,58,46,48,38,37,27,29,39,23,24,27,26,20,33,45,64,66,58,66,50,59,46,45,28,26,36,18,11,71,61,48,64,90,124,125,128,124,103,110,87,77,66,52,72,51,31,30,34,27,31,50,62,53,61,57,51,48,40,36,38,23,40,26,22,41,27,21,33,40,62,72,67,67,52,62,47,41,28,29,32,25,9,71,65,52,58,82,115,154,127,128,116,109,93,71,71,52,67,49,36,32,34,25,33,43,52,74,61,52,57,53,39,35,36,26,38,24,24,39,31,27,25,39,63,80,66,76,59,56,54,36,35,26,29,25,12,80,59,56,47,93,107,144,134,129,119,105,93,82,69,55,60,55,39,32,29,29,24,49,55,64,64,53,57,53,42,36,34,28,36,26,26,48,30,27,23,44,52,80,70,76,62,52,51,46,35,27,24,29,13,86,71,50,48,87,97,144,143,124,124,94,102,87,75,51,58,53,44,41,33,27,25,49,40,75,68,53,59,45,48,39,36,27,34,30,29,45,38,23,23,38,57,69,75,71,65,49,54,48,39,24,24,23,15,84,67,62,50,72,93,137,133,126,129,96,99,91,81,50,46,61,47,40,33,29,27,39,48,63,63,57,58,46,46,42,39,27,28,34,32,44,34,33,23,33,45,74,70,69,71,50,53,49,42,23,18,27,15,80,73,62,58,62,88,125,140,129,130,109,100,91,72,62,39,51,49,41,36,34,32,32,49,58,65,58,58,49,45,40,34,38,21,30,33,39,37,28,26,30,39,67,75,71,72,60,55,51,38,24,18,21,16,81,73,66,55,60,87,110,150,123,132,115,102,96,72,64,43,47,46,42,33,38,27,35,48,48,70,61,55,53,48,44,33,36,27,30,26,39,40,28,28,25,39,62,80,62,77,62,54,52,39,28,16,17,20,82,80,71,64,55,99,107,155,124,131,127,98,87,82,61,45,41,41,40,33,40,33,31,54,52,66,64,57,55,48,45,36,33,26,28,24,42,47,31,31,24,45,55,89,60,74,72,50,42,46,28,19,13,17,71,80,78,59,62,95,95,148,135,134,129,92,92,82,72,41,34,42,31,39,38,34,34,54,42,70,66,58,57,43,48,38,37,25,26,28,40,41,40,25,28,41,53,78,69,76,72,49,44,44,35,16,8,14,69,80,71,68,65,82,110,140,145,140,133,96,90,94,74,43,28,41,40,40,39,34,37,44,59,60,72,63,59,49,45,44,38,25,23,25,29,40,32,34,28,38,51,80,73,77,74,47,45,50,36,18,5,16,60,77,74,75,66,75,99,132,159,139,138,107,99,90,64,54,29,43,35,41,36,41,35,36,55,63,75,62,63,52,47,42,34,35,19,29,25,36,38,34,31,39,44,69,84,77,75,55,52,48,30,19,10,14,70,76,78,75,70,78,106,117,170,135,146,125,105,95,67,57,32,42,40,36,41,41,41,44,55,58,81,63,64,61,53,45,34,32,24,29,30,40,37,34,29,34,51,59,89,72,82,64,52,50,33,25,8,13,69,83,89,70,74,70,111,130,167,139,139,146,111,85,76,57,34,47,38,39,40,39,43,37,59,68,77,65,60,68,57,42,37,30,22,34,31,44,49,31,31,33,52,62,90,74,79,78,54,43,39,27,12,13,47,73,86,127,112,121,150,155,126,105,101,85,114,137,114,87,67,56,20,28,39,62,61,52,66,63,49,46,43,41,52,63,60,56,39,34,27,45,47,65,51,69,84,92,77,59,58,44,62,74,54,31,28,22,39,64,81,111,124,115,146,151,140,109,101,83,107,134,124,94,69,64,18,21,37,55,61,54,60,65,53,48,40,35,49,65,55,58,46,38,21,43,44,56,63,61,86,86,87,61,61,48,58,69,69,36,23,26,41,56,86,106,126,113,135,146,150,114,109,90,96,141,116,107,68,63,20,19,37,53,61,55,56,56,58,47,50,35,41,70,54,59,45,38,21,37,48,52,65,57,79,90,92,67,58,54,54,71,62,47,23,25,42,58,78,103,129,129,130,150,166,111,119,91,92,132,127,101,72,65,20,19,34,50,64,61,54,62,58,51,55,37,41,64,58,54,46,41,22,39,44,53,65,68,76,88,108,60,64,54,51,68,69,47,26,24,49,50,77,105,138,124,118,148,164,126,111,104,92,115,130,108,73,61,23,20,30,51,68,61,49,65,65,49,47,44,41,55,61,55,48,37,26,30,47,54,70,63,69,83,99,77,64,60,51,60,69,53,25,24,59,49,76,99,125,139,129,143,172,129,115,107,87,113,135,106,72,63,28,18,29,48,58,71,51,65,71,51,49,46,38,52,62,53,51,38,31,31,47,51,67,68,78,78,101,78,66,61,49,61,73,53,21,25,67,42,74,102,121,132,126,153,167,142,108,113,83,114,131,108,74,66,29,18,26,48,54,62,61,66,70,52,45,51,32,54,62,50,50,43,38,24,48,54,67,70,65,87,97,90,63,62,51,60,69,58,24,23,57,52,75,96,116,133,128,146,158,154,117,113,94,103,129,102,83,65,23,23,26,42,52,61,65,64,64,55,49,53,34,44,65,50,50,42,34,29,49,54,64,72,63,82,94,99,68,60,60,59,64,52,33,23,59,58,69,87,118,127,132,150,158,171,109,123,94,93,127,112,84,73,28,24,26,37,51,59,61,63,73,57,47,56,38,40,63,54,46,50,31,34,43,50,67,68,71,87,85,114,62,67,56,53,64,58,38,23,57,60,60,84,118,133,129,142,163,176,120,112,101,96,112,118,91,74,29,28,26,34,50,61,61,58,77,65,45,47,43,40,53,55,46,53,28,32,34,50,68,72,68,84,86,111,75,65,58,56,59,63,45,21,50,68,50,83,119,139,128,138,140,186,130,116,107,91,113,126,90,75,31,27,22,32,57,62,58,56,65,73,49,49,45,37,51,60,46,55,19,41,28,51,62,77,70,82,75,113,81,67,62,54,62,66,44,20,49,71,48,72,122,132,132,130,153,181,143,108,111,86,110,117,90,76,33,31,22,24,60,61,53,62,65,75,47,44,47,35,53,59,45,54,16,40,26,48,62,71,79,68,88,106,96,64,64,51,57,58,45,22,43,55,51,68,114,117,122,129,141,166,160,112,110,97,94,120,76,80,29,25,22,19,54,57,52,56,60,70,55,45,50,40,42,68,40,57,14,30,29,49,60,60,70,73,81,96,105,67,60,57,52,52,36,23,35,56,53,64,97,116,115,126,145,152,180,105,117,91,89,106,80,82,20,28,23,22,40,51,55,51,64,69,61,42,53,41,40,60,41,57,15,28,30,42,57,65,60,75,81,83,119,63,64,50,49,46,39,25,34,58,52,59,86,116,118,120,141,145,185,113,101,92,93,96,85,90,17,32,25,24,32,51,56,53,59,74,67,43,45,41,43,50,46,64,17,26,27,35,54,65,62,67,82,71,118,70,56,51,50,46,39,26,31,48,59,51,85,99,111,120,137,132,189,122,108,98,81,101,92,92,13,32,27,20,30,41,48,57,54,67,76,44,48,41,38,49,51,66,18,16,32,31,55,58,63,63,83,65,113,78,60,57,43,52,41,26,35,43,63,45,76,106,110,116,121,148,182,139,103,97,76,95,97,92,16,29,29,21,26,43,48,51,56,65,79,45,45,42,36,50,51,67,19,14,34,24,50,63,62,65,65,83,103,94,58,55,40,45,46,25,33,41,56,46,67,96,103,108,118,137,167,161,103,99,82,84,96,90,16,27,26,22,20,39,45,48,50,63,69,57,42,44,36,42,57,64,17,14,30,24,47,57,58,60,68,74,98,104,61,55,46,42,39,26,36,37,56,47,57,91,113,102,119,141,158,174,101,104,79,81,91,92,21,21,26,24,18,39,49,48,49,60,69,59,41,48,36,38,54,66,15,16,30,23,39,52,64,54,70,81,89,115,60,56,43,43,37,26,44,29,56,50,52,80,107,115,110,136,143,172,116,95,80,76,79,103,26,13,28,24,23,32,44,52,49,54,68,61,42,41,37,38,44,72,18,16,28,26,29,48,63,63,61,82,75,111,74,54,43,38,35,31,43,27,47,57,42,81,104,116,112,136,127,181,119,93,86,62,80,99,24,9,28,26,16,30,51,45,52,54,60,69,42,40,37,34,38,71,19,18,19,31,26,51,53,71,60,82,67,112,77,53,49,28,42,28,54,30,41,60,39,73,101,117,125,118,140,176,140,90,84,56,76,107,27,12,26,26,13,29,48,49,53,54,59,73,43,40,36,31,38,71,27,18,15,34,26,44,53,68,72,64,81,103,97,50,48,25,38,36,55,33,43,53,41,61,90,117,116,121,134,168,156,96,88,62,61,108,28,14,27,24,16,18,41,51,49,52,57,70,53,37,37,33,31,71,27,19,16,29,25,43,49,66,67,69,77,98,103,59,51,29,30,37,57,37,41,51,45,54,94,115,107,115,139,152,169,94,89,59,61,109,30,19,22,22,21,14,44,51,46,47,58,68,55,34,41,32,32,68,27,18,19,29,24,40,50,64,61,68,81,84,114,60,48,27,29,41,59,43,35,56,52,50,90,116,113,111,141,146,173,108,84,64,63,100,32,23,17,27,24,16,41,51,46,50,59,69,63,34,38,32,33,62,27,20,18,29,28,34,49,65,67,61,82,77,110,74,46,32,30,38,56,47,35,54,62,45,85,108,113,122,146,128,181,115,82,67,51,104,29,24,15,32,27,13,39,51,44,57,58,61,71,41,34,31,30,61,27,23,20,22,35,32,46,57,69,65,88,67,110,74,48,36,21,43,15,24,39,53,51,40,53,48,46,49,51,35,51,49,58,34,26,32,5,11,16,28,19,15,18,18,18,17,25,13,23,20,35,21,17,22,10,13,23,25,32,25,35,30,28,32,26,22,28,29,23,13,9,10,4,23,30,48,53,40,50,47,49,49,43,51,49,47,60,35,34,32,1,7,15,23,20,17,14,15,20,21,13,25,20,22,33,19,21,25,3,16,15,25,33,23,36,32,29,28,30,26,29,25,27,16,13,7,10,24,22,57,48,48,52,49,50,50,61,51,51,55,61,40,34,34,6,8,10,28,21,17,19,15,19,22,23,27,21,27,34,22,21,26,4,15,11,30,28,32,34,34,32,29,39,24,31,29,26,18,13,8,9,18,21,44,53,49,49,48,54,50,65,59,53,55,53,42,31,33,6,4,12,20,24,14,22,13,23,22,24,27,23,22,29,24,18,24,3,14,9,24,29,35,27,35,31,28,41,32,30,33,24,18,13,9,9,15,20,41,51,47,48,43,53,46,68,62,51,58,47,51,25,38,6,4,10,20,21,16,19,13,19,21,27,30,20,24,23,30,15,27,3,11,10,21,30,31,29,30,34,25,41,32,31,34,24,21,10,11,7,14,22,33,52,51,38,53,48,46,60,54,50,58,46,51,26,33,5,6,9,15,24,16,17,14,20,19,24,27,20,26,21,27,14,23,2,8,13,18,28,35,21,39,28,27,36,27,30,32,25,24,12,10,7,11,24,29,54,50,39,49,47,48,56,45,62,56,49,46,25,34,4,7,9,14,24,17,17,14,15,17,25,18,27,22,23,26,13,24,3,4,15,15,30,33,22,35,32,31,31,27,35,34,26,20,12,10,5,15,23,19,52,48,48,54,44,48,49,54,54,53,51,47,28,28,1,9,8,8,23,21,15,18,14,16,22,22,26,18,24,27,15,19,4,6,15,11,29,27,33,36,30,32,27,32,28,35,27,20,13,9,11,11,24,18,43,57,45,52,40,48,48,55,57,50,51,44,32,29,4,6,6,10,20,27,12,22,8,19,24,22,27,21,21,24,18,19,7,5,18,8,23,30,33,30,32,29,24,33,30,29,30,20,14,10,16,9,18,17,40,51,42,51,39,52,43,60,57,48,52,41,40,24,6,6,5,9,16,26,13,19,10,18,22,25,27,19,23,21,24,18,10,3,13,8,24,25,29,32,29,34,21,35,30,29,29,20,16,6,13,11,12,18,37,45,51,40,48,50,44,58,50,51,53,41,37,26,5,6,4,7,17,25,16,15,12,20,19,25,22,23,24,19,21,18,8,5,8,11,20,20,35,25,36,30,25,33,28,28,29,22,16,8,14,11,7,20,27,50,54,41,44,47,47,58,41,56,51,42,37,22,4,5,3,6,11,26,20,19,10,16,17,30,15,26,22,22,21,13,10,6,4,14,16,24,34,22,34,31,30,28,26,30,29,20,16,9,14,10,7,20,23,49,45,43,44,42,48,50,53,50,48,47,35,24,7,4,3,7,9,26,22,15,16,12,18,25,21,25,18,24,22,15,7,6,4,13,14,23,23,28,28,30,30,25,32,25,30,23,13,9,13,11,6,19,22,38,48,45,48,39,52,47,55,53,46,47,37,23,7,5,3,5,11,18,24,14,21,7,21,23,23,24,22,21,22,14,6,6,3,14,11,20,24,31,27,32,31,24,32,29,24,26,15,9,6,15,8,17,18,37,41,48,43,43,52,42,62,55,42,48,33,31,2,7,6,5,8,18,22,15,15,13,18,21,28,26,18,22,19,19,4,8,2,12,10,19,19,33,28,30,34,21,34,29,24,26,14,12,6,12,14,14,20,35,37,53,38,50,50,47,59,49,44,44,34,33,2,4,9,6,9,17,21,16,14,16,15,22,28,22,20,21,18,19,4,8,5,8,11,18,16,37,24,34,35,25,31,27,24,23,16,14,9,13,17,9,21,29,41,51,42,47,52,54,57,46,53,39,38,34,4,6,10,4,8,15,22,17,18,14,16,20,32,18,24,20,20,21,5,7,7,5,13,14,19,34,24,33,36,34,25,28,29,19,18,13,14,11,13,11,25,23,40,44,47,46,53,55,53,55,50,38,38,32,6,6,5,5,9,10,22,20,18,16,16,19,29,23,25,16,19,19,8,5,8,6,16,13,18,24,29,30,37,36,24,32,25,22,19,13,16,13,13,9,26,24,36,50,48,47,47,58,52,58,54,37,37,32,7,5,4,5,7,11,19,24,15,20,12,21,26,27,25,18,17,21,9,8,9,4,19,13,17,26,33,27,35,37,26,31,29,19,20,11,16,11,18,11,20,22,38,44,47,45,46,58,46,61,51,38,37,32,6,4,8,7,6,10,20,22,16,15,15,20,24,29,27,16,16,22,10,7,10,4,14,12,18,22,31,30,31,38,22,32,24,22,21,10,16,11,15,15,15,18,33,36,51,40,54,51,49,57,51,41,31,39,7,5,5,9,6,7,17,19,16,16,18,16,23,27,25,20,15,25,9,6,10,6,9,11,16,17,35,24,36,35,26,30,26,21,16,14,16,10,15,15,14,21,26,39,49,40,45,51,51,54,46,49,32,36,7,5,6,8,6,7,17,15,18,18,15,14,20,28,20,24,16,21,9,5,9,7,8,14,9,24,31,22,30,37,31,26,26,25,16,15,17,12,13,12,17,23,21,41,34,49,43,51,53,53,54,43,33,36,6,6,7,4,8,8,12,19,13,19,17,14,21,27,23,23,16,21,11,6,6,8,9,15,9,22,21,30,26,37,32,26,31,20,17,15,13,14,14,15,10,24,22,32,39,46,46,44,49,53,56,48,32,30,5,7,6,6,5,7,13,14,16,14,23,12,19,27,24,24,17,19,8,7,8,9,5,17,9,18,23,32,23,32,30,26,32,24,15,11,8,13,12,20,14,20,17,38,34,45,46,48,56,47,57,50,31,33,3,5,5,9,7,6,7,19,17,16,19,19,19,25,25,26,13,21,5,8,7,11,7,14,10,19,17,29,27,29,37,22,32,24,18,12,11,14,11,17,18,15,18,37,31,50,40,58,53,47,64,48,31,31,5,5,5,7,10,5,6,19,17,16,17,22,19,23,27,24,16,15,6,9,6,10,8,10,12,18,14,34,23,36,34,24,37,24,15,16,6,10,18,12,25,16,28,30,28,22,18,25,36,41,31,32,22,20,2,5,7,5,16,5,8,12,7,9,5,9,16,17,16,18,12,17,4,5,11,7,9,11,20,18,21,13,13,16,20,23,15,14,10,3,3,10,16,12,22,19,20,32,25,26,22,17,34,38,36,36,26,16,3,2,5,8,11,8,9,9,10,5,9,7,16,16,14,21,15,12,null,8,11,4,11,11,11,23,15,21,13,10,18,22,22,15,11,4,5,9,15,13,15,21,18,28,25,25,23,19,23,47,35,32,25,20,4,2,5,8,5,12,9,11,8,5,10,8,9,21,14,17,17,12,1,7,10,5,10,9,9,17,17,20,13,11,14,26,21,15,8,8,5,6,16,12,15,21,20,27,25,26,26,13,26,38,42,29,26,20,4,2,6,5,6,12,9,11,8,4,11,4,9,20,14,17,18,12,1,4,10,7,9,9,11,16,17,22,15,9,17,18,28,12,8,8,6,5,10,17,15,17,17,26,29,26,23,15,28,30,42,26,24,23,4,2,3,7,5,10,9,8,11,5,9,4,10,15,15,14,18,15,2,3,7,10,10,7,8,18,18,21,14,11,18,15,27,12,6,8,6,6,7,19,12,17,16,18,31,27,23,18,22,32,42,26,26,23,3,3,3,7,5,7,8,5,11,7,6,6,8,15,16,11,19,15,3,3,4,12,7,10,8,13,20,20,17,12,14,17,26,15,7,8,5,3,9,16,15,14,15,18,28,23,29,23,19,31,35,31,23,23,3,3,2,5,7,4,7,6,9,8,6,10,6,16,13,11,16,16,2,0,7,11,8,10,8,12,19,15,23,13,13,15,22,20,7,7,3,5,8,15,13,17,13,22,24,26,27,27,23,23,40,31,22,24,2,4,2,5,7,6,5,7,11,7,5,11,8,10,16,13,11,17,1,1,6,10,6,11,8,15,13,19,22,16,15,13,24,18,11,7,2,5,5,17,12,13,12,20,22,25,24,29,17,22,31,36,20,26,1,4,2,6,5,6,4,7,10,7,4,12,6,9,13,14,10,19,1,1,3,11,7,7,8,13,12,18,20,17,11,13,18,22,10,7,3,5,2,9,19,9,14,15,23,27,24,26,16,22,27,37,20,28,0,4,1,3,5,3,5,6,8,10,4,10,5,8,12,14,10,19,3,1,1,6,14,6,9,9,15,17,20,16,11,14,15,23,10,9,2,6,6,8,19,6,14,13,21,29,26,25,19,18,29,38,20,23,1,3,3,5,5,2,3,5,7,11,6,7,6,8,12,14,10,14,1,3,3,3,14,4,11,8,14,18,20,18,13,10,17,24,10,9,3,6,4,9,19,6,12,15,17,28,26,27,22,13,31,33,26,22,1,3,3,4,6,3,2,5,5,10,9,4,9,5,15,11,11,14,2,3,1,5,13,3,10,10,12,18,17,23,13,8,16,22,15,8,3,4,5,9,18,7,11,13,16,24,29,26,24,16,22,39,28,24,1,2,4,3,6,3,1,4,6,11,8,4,10,7,9,15,13,13,2,2,1,6,12,4,10,9,10,13,21,22,14,9,13,24,15,11,4,2,6,7,16,8,9,13,19,23,29,23,27,12,23,31,33,25,1,1,4,3,5,2,2,4,7,10,7,3,11,4,10,13,13,13,3,1,2,4,11,6,7,9,12,13,22,20,16,8,13,18,20,12,4,2,6,6,10,17,10,13,16,23,29,25,24,15,24,27,33,26,1,0,4,3,4,5,2,4,6,8,10,3,9,5,9,11,14,14,3,2,2,3,6,12,8,9,10,15,19,22,15,10,15,16,19,12,3,3,6,6,10,18,8,14,15,19,29,30,23,17,19,28,28,27,0,1,3,3,5,5,2,3,5,6,11,7,6,6,9,11,12,15,3,2,3,3,5,13,6,11,10,13,18,23,17,11,10,17,16,12,3,3,6,5,11,18,7,11,17,16,27,26,25,21,14,27,27,30,0,1,3,3,4,5,3,1,6,5,9,8,4,10,5,14,10,15,3,2,3,2,7,13,4,10,11,11,18,18,21,11,9,13,17,15,4,5,4,5,12,18,9,12,14,17,23,28,23,22,16,19,31,32,0,2,2,4,3,6,4,1,4,7,9,6,3,11,6,9,12,15,4,3,2,1,9,12,5,11,10,10,14,22,20,11,10,10,19,17,6,6,2,5,12,19,9,11,14,22,24,29,20,28,13,18,27,37,1,2,1,3,5,7,2,2,4,8,10,7,2,13,4,9,11,19,5,4,1,2,7,12,7,9,10,14,14,22,18,15,9,9,16,18,6,3,2,4,11,15,17,13,14,19,22,28,20,27,16,20,23,38,3,1,0,3,5,5,5,3,3,7,7,9,2,11,5,9,11,20,3,2,2,1,6,10,12,10,11,12,15,19,18,16,11,11,12,18,8,2,3,6,8,15,18,11,17,18,20,28,25,25,18,18,21,41,5,0,1,3,4,7,3,3,3,6,7,10,4,8,6,9,11,20,3,2,2,3,4,8,15,8,14,12,13,18,21,17,12,9,10,21,7,3,3,6,4,14,18,12,16,20,17,26,23,25,22,13,23,35,5,0,1,3,3,5,4,3,2,8,6,8,6,4,11,6,13,17,2,3,2,3,1,9,14,9,14,12,11,18,17,21,11,7,10,18,5,4,3,4,4,11,16,13,13,17,17,24,27,24,22,14,18,36,4,0,1,2,3,5,3,3,2,7,7,9,6,4,11,6,9,17,1,4,2,2,1,6,13,10,11,10,10,15,21,20,11,8,9,19,4,3,4,2,6,9,13,14,14,17,22,22,26,22,25,12,18,36,2,1,1,1,4,4,2,3,3,8,8,7,7,4,12,5,9,19,2,2,3,1,2,5,11,11,11,9,14,15,19,18,13,7,9,17,6,4,3,2,7,11,8,18,14,16,23,21,28,19,25,14,18,31,1,2,1,0,4,5,2,4,3,7,10,6,9,3,10,6,7,18,5,2,2,2,3,6,6,14,11,9,13,15,19,16,15,8,11,13,4,4,2,4,7,7,7,16,14,17,20,16,29,25,23,15,13,35,0,2,0,1,3,2,4,2,5,6,8,4,10,6,8,6,6,20,4,2,2,3,4,5,3,14,9,11,12,12,19,19,15,9,7,15,443,559,777,1052,1159,1059,940,979,922,867,742,587,731,633,577,374,296,219,209,285,385,530,580,498,482,499,464,451,374,286,384,340,311,236,192,155,234,274,392,522,579,561,457,481,457,416,368,301,347,292,266,137,104,63,420,553,678,979,1196,1102,1009,1009,986,905,804,611,711,641,585,432,294,240,205,274,326,497,602,529,508,514,488,470,412,303,359,353,320,263,178,175,215,279,352,482,594,573,501,495,498,435,392,308,352,288,265,169,116,65,413,505,680,910,1187,1110,971,986,999,946,835,649,678,687,585,451,294,268,202,244,337,452,593,552,478,511,491,489,435,315,335,377,327,258,186,194,212,261,343,458,594,558,493,475,508,458,400,334,343,310,258,193,108,74,403,460,614,826,1106,1051,949,912,994,892,815,707,598,683,574,464,303,283,191,223,310,410,556,521,447,486,494,456,426,344,301,367,313,271,200,201,212,237,304,416,550,530,502,426,500,436,389,363,297,316,261,193,103,82,418,450,569,787,1026,1033,959,908,983,905,847,717,605,679,597,484,309,308,205,220,289,386,521,522,461,472,507,454,433,362,305,365,327,276,205,218,213,230,280,401,505,511,498,436,476,451,414,355,300,314,270,208,104,90,406,467,545,743,964,1077,954,937,983,931,870,749,574,690,594,473,316,290,203,224,279,360,480,537,454,497,504,451,460,386,293,357,332,274,211,204,203,243,266,383,484,540,500,440,479,480,410,363,281,333,262,199,105,86,437,459,558,680,955,1107,974,965,978,998,899,779,596,693,619,488,362,300,218,217,280,324,485,555,463,487,506,496,467,403,295,360,346,290,236,213,219,242,278,356,470,552,511,478,472,502,432,376,301,333,273,198,126,87,454,451,513,684,906,1088,1005,925,964,1007,930,813,612,668,645,490,358,312,238,220,246,346,447,544,494,459,508,497,478,430,305,334,361,293,228,229,216,231,267,338,459,544,511,466,456,510,452,383,307,334,284,197,130,83,453,475,512,647,875,1100,1016,991,999,1044,916,848,727,617,678,516,381,320,231,230,251,330,433,535,492,467,537,513,466,447,355,312,372,297,247,231,222,245,261,317,442,565,524,524,462,531,450,401,372,305,306,219,134,89,460,467,503,604,837,1055,1030,990,1014,1028,950,879,717,618,668,549,384,337,223,235,236,307,408,506,528,457,539,518,474,454,359,319,366,302,245,248,237,232,267,297,429,549,502,533,475,510,476,425,358,299,302,247,139,89,448,459,500,580,794,966,994,980,990,995,934,891,754,583,674,537,407,349,212,240,232,293,387,470,497,468,529,503,452,472,385,300,353,307,245,255,236,219,268,287,407,496,497,512,461,492,482,419,369,283,321,230,162,94,444,432,469,580,718,887,989,941,991,978,965,874,774,593,655,570,404,384,216,230,216,285,354,433,490,455,510,502,481,461,398,299,342,326,247,272,228,202,253,295,364,454,499,486,481,476,484,413,376,294,313,244,157,112,468,461,473,529,719,834,980,951,947,950,979,893,776,617,624,600,406,384,215,255,221,244,364,405,473,476,472,510,480,469,410,304,319,350,251,269,253,206,252,285,355,429,507,475,475,440,499,424,366,313,305,250,155,115,447,448,486,505,654,796,924,900,942,942,992,866,799,682,574,596,427,398,214,238,233,235,336,386,450,448,448,513,489,452,425,341,302,346,257,284,233,210,253,270,318,410,474,452,494,429,503,414,374,341,272,250,170,114,434,459,457,506,601,740,896,894,929,940,962,885,826,668,559,596,438,416,213,229,224,241,312,365,417,457,441,509,500,446,434,335,302,343,254,295,221,230,233,265,289,375,479,437,488,431,462,439,392,333,257,253,184,121,433,452,462,499,565,700,802,885,909,957,969,883,843,709,536,604,439,447,212,218,236,229,291,342,390,439,440,516,502,433,454,369,289,332,267,309,221,234,226,270,274,358,412,446,469,441,467,450,389,340,247,272,172,138,423,451,450,471,546,645,758,887,874,946,942,909,829,744,547,592,473,447,211,219,229,217,276,317,374,444,437,490,496,462,440,391,286,330,293,308,212,232,221,254,270,328,384,443,437,456,446,447,389,353,261,262,180,139,402,452,452,467,509,627,728,873,877,895,916,909,841,741,577,564,501,469,201,220,243,221,245,320,360,428,449,452,496,454,454,397,296,307,311,323,201,232,209,246,264,307,368,445,428,443,420,455,387,344,281,257,190,146,383,443,446,477,485,572,714,866,842,894,911,914,799,748,640,503,512,494,184,216,238,225,234,293,359,420,433,432,499,462,422,405,327,288,312,341,199,227,208,252,251,279,355,446,409,462,412,452,377,343,313,215,200,153,349,438,457,454,468,541,656,837,841,879,913,899,816,775,637,498,494,494,159,223,232,218,226,270,321,410,432,428,498,473,426,423,327,282,297,330,190,215,225,236,242,271,335,427,409,451,415,426,390,352,310,216,197,164,360,434,453,454,475,515,626,771,867,857,907,899,821,788,652,469,490,509,166,218,225,232,219,269,291,401,440,414,504,476,414,434,351,265,285,349,194,216,228,222,256,246,335,370,427,443,403,423,407,354,301,204,205,160,351,424,446,440,450,490,573,698,869,852,892,886,855,766,683,481,480,512,157,206,216,228,206,250,267,354,447,416,488,472,439,422,372,270,281,356,194,218,230,212,244,240,306,344,422,436,404,414,416,344,311,211,199,156,360,401,450,452,447,434,541,669,862,857,847,884,859,772,674,516,458,542,172,190,211,241,200,211,275,339,434,432,438,489,433,426,383,280,267,387,188,211,239,211,247,223,266,330,428,425,409,395,426,346,291,236,191,155,346,389,447,452,461,432,518,664,853,825,872,891,882,756,687,582,423,543,170,187,216,235,206,209,264,343,418,417,433,503,450,415,389,313,259,384,176,202,231,217,255,223,254,321,435,408,439,388,432,341,298,269,164,159,310,374,439,466,470,433,494,650,814,847,886,900,871,777,727,579,414,545,155,177,221,227,225,199,250,323,398,434,441,497,461,416,405,316,250,374,155,197,218,239,245,234,244,327,416,413,445,403,410,361,322,263,164,171,297,375,442,469,436,436,463,619,766,890,858,896,894,791,749,610,405,571,146,177,229,221,210,201,237,307,388,448,424,490,483,408,424,337,241,377,151,198,213,248,226,235,226,312,378,442,434,406,411,383,325,273,164,194,20,23,43,56,64,54,53,53,40,50,66,42,41,49,45,44,38,30,12,12,20,23,27,24,20,26,21,24,31,21,19,26,24,25,26,17,8,11,23,33,37,30,33,27,19,26,35,21,22,23,21,19,12,13,25,21,39,46,66,72,54,48,50,45,69,44,49,46,41,48,40,25,15,11,17,22,24,32,22,23,23,23,33,22,22,24,22,26,26,14,10,10,22,24,42,40,32,25,27,22,36,22,27,22,19,22,14,11,21,20,36,52,57,65,65,52,52,52,63,51,46,42,43,49,51,25,13,9,12,30,16,29,26,27,24,27,28,27,20,23,20,28,33,13,8,11,23,22,41,36,40,25,28,25,35,24,26,19,23,21,18,11,20,20,30,46,59,56,61,62,63,54,60,56,44,41,43,47,40,29,13,7,15,24,21,24,28,28,31,29,24,28,19,22,21,26,23,18,7,13,15,22,38,32,33,34,32,25,36,28,25,19,22,21,17,11,28,18,32,44,63,56,69,67,67,61,64,67,47,39,47,43,47,32,17,8,14,20,25,24,31,29,33,30,29,29,23,18,24,25,25,19,11,10,18,24,38,32,38,38,34,31,35,38,24,21,23,18,22,13,22,21,27,41,63,59,67,63,64,61,69,71,48,46,49,40,43,34,11,11,12,18,27,23,30,25,34,29,30,32,21,25,25,22,25,21,11,10,15,23,36,36,37,38,30,32,39,39,27,21,24,18,18,13,18,31,28,39,49,67,79,62,69,72,61,81,47,50,46,36,40,33,12,15,12,16,24,25,36,26,34,31,28,39,23,24,25,19,21,20,6,16,16,23,25,42,43,36,35,41,33,42,24,26,21,17,19,13,22,26,28,38,54,75,69,81,74,71,68,79,52,49,37,41,38,33,14,15,13,12,31,27,34,34,35,33,34,34,27,22,22,19,22,21,8,11,15,26,23,48,35,47,39,38,34,45,25,27,15,22,16,12,28,33,33,38,49,91,71,83,80,83,70,75,63,46,42,43,34,33,12,22,10,17,26,39,38,42,30,41,35,30,30,23,25,20,20,20,16,11,23,21,23,52,33,41,50,42,35,45,33,23,17,23,14,13,40,37,34,41,46,94,73,107,93,91,75,80,74,52,43,48,32,39,19,23,11,19,22,47,39,51,40,41,35,38,32,26,23,24,19,23,21,14,23,22,24,47,34,56,53,50,40,42,42,26,20,24,13,16,45,34,38,40,42,84,82,109,104,93,79,86,84,52,48,49,27,39,22,17,17,18,22,42,39,53,45,45,36,43,32,25,26,27,14,25,23,17,21,22,20,42,43,56,59,48,43,43,52,27,22,22,13,14,58,41,42,32,49,74,94,109,105,90,92,76,93,53,55,46,29,39,24,23,19,14,22,35,49,54,44,44,38,39,37,26,27,26,16,24,34,18,23,18,27,39,45,55,61,46,54,37,56,27,28,20,13,15,77,45,42,31,45,67,81,107,113,93,92,83,94,52,53,42,35,41,33,21,20,15,17,36,41,60,46,45,39,42,38,29,24,26,17,28,44,24,22,16,28,31,40,47,67,48,53,41,56,23,29,16,18,13,78,53,47,31,40,65,89,114,112,104,98,89,88,66,49,46,35,42,33,21,27,13,21,34,39,63,52,44,44,45,40,33,22,29,18,28,45,32,20,18,19,31,50,51,60,60,54,44,48,33,27,17,17,14,71,59,43,33,41,58,90,102,125,108,97,86,90,76,51,44,41,41,30,27,23,14,21,29,41,54,61,46,42,41,47,33,25,25,23,28,41,32,20,19,20,29,49,48,64,62,55,45,43,43,26,19,18,13,75,72,45,40,41,53,87,107,130,112,94,81,89,82,49,47,44,42,29,37,20,22,21,28,35,56,60,49,42,37,48,33,23,26,24,27,46,35,25,18,20,25,52,51,70,63,52,44,41,49,26,21,20,15,67,85,45,41,32,50,77,103,132,106,93,91,76,90,49,52,34,41,29,40,24,22,15,25,35,51,66,43,45,39,41,40,24,27,19,27,38,45,21,19,17,25,42,52,66,63,48,52,35,50,25,25,15,14,59,90,53,37,28,44,74,101,124,116,94,88,79,90,52,46,32,43,26,43,25,22,14,20,41,45,69,46,42,38,42,39,28,22,17,29,33,47,28,15,14,24,33,56,55,70,52,50,37,51,24,24,15,14,54,87,49,40,28,40,65,97,112,113,97,89,84,85,60,42,38,43,21,45,20,24,12,21,34,42,60,49,42,42,42,41,29,20,23,26,33,42,29,16,16,19,31,55,52,64,55,47,42,44,31,22,15,17,55,77,59,39,26,40,55,95,98,131,101,91,82,87,67,43,34,47,25,38,24,21,14,19,30,44,50,59,47,41,38,45,30,21,18,28,30,39,35,18,12,21,25,51,48,72,54,50,44,42,37,22,16,19,38,83,65,37,28,39,52,82,102,128,105,91,80,90,71,39,42,44,19,36,31,17,15,17,30,39,51,56,49,45,38,48,30,19,23,29,19,47,34,20,13,22,22,43,51,72,56,46,42,42,41,20,19,15,28,73,78,37,32,32,47,73,106,121,99,87,86,77,85,43,43,47,12,33,35,18,16,16,20,36,53,58,43,46,38,41,39,21,23,33,16,40,43,19,16,16,27,37,53,63,56,41,48,36,46,22,20,14,27,71,88,41,31,23,48,75,98,128,111,84,86,77,81,45,40,50,9,31,43,18,18,11,20,40,47,68,45,40,39,41,34,26,19,34,18,40,45,23,13,12,28,35,51,60,66,44,47,36,47,19,21,16,26,59,93,46,38,29,41,58,103,120,108,95,85,83,75,55,34,48,10,27,44,16,24,13,19,30,48,62,49,42,38,41,36,30,15,33,16,32,49,30,14,16,22,28,55,58,59,53,47,42,39,25,19,15,21,61,83,57,40,27,41,62,103,103,125,98,89,83,76,61,40,46,6,33,36,22,24,14,21,28,47,52,59,46,41,40,40,27,22,31,15,28,47,35,16,13,20,34,56,51,66,52,48,43,36,34,18,15,16,50,83,70,45,32,43,57,91,104,131,105,86,84,80,68,40,50,8,24,38,31,21,17,22,31,43,50,57,48,45,42,41,29,20,31,8,26,45,39,24,15,21,26,48,54,74,57,41,42,39,39,20,19,78,92,138,165,173,171,180,176,146,148,106,107,145,127,109,84,61,56,44,47,67,85,94,95,85,84,66,73,51,56,71,61,54,55,37,35,35,46,71,80,79,76,95,92,80,75,56,52,74,66,55,29,24,21,58,95,132,160,161,189,160,184,168,133,127,81,150,131,107,101,53,68,34,49,67,75,86,111,70,92,78,65,58,43,72,63,58,61,36,42,24,46,65,85,75,78,90,92,90,68,69,38,78,68,49,40,17,26,69,88,121,166,163,178,160,182,169,143,129,98,135,133,112,104,56,60,31,46,62,83,83,102,77,88,83,66,58,51,65,65,56,64,38,36,37,41,59,84,81,77,84,95,87,77,71,46,70,68,56,39,18,24,64,82,110,152,170,181,162,189,174,138,137,113,116,145,107,109,55,66,27,44,56,79,82,98,86,90,84,65,63,55,60,73,50,66,33,41,37,38,54,73,88,83,76,99,90,73,74,58,56,72,57,43,22,25,72,83,98,145,167,173,174,174,176,152,148,105,117,136,118,96,67,65,29,45,50,73,79,90,97,84,84,62,72,56,59,65,57,59,41,40,43,38,48,72,88,83,77,90,92,90,76,49,58,71,61,37,26,25,70,76,92,141,160,172,183,162,200,158,149,115,90,152,123,98,68,57,25,43,44,71,79,87,104,72,94,68,72,53,51,71,60,56,43,34,45,33,48,70,81,85,79,90,106,90,77,62,39,81,63,42,25,23,62,68,105,139,157,155,196,170,189,171,146,128,82,151,117,90,84,50,25,36,51,66,73,83,111,78,89,76,66,56,46,71,55,52,51,31,37,32,54,73,84,72,85,92,100,95,80,72,36,80,62,38,33,19,60,74,107,133,171,160,190,166,201,180,158,130,92,139,119,92,96,60,24,32,55,63,84,86,108,74,91,84,73,55,51,66,60,49,63,37,36,42,52,70,87,74,82,92,110,96,85,75,41,73,59,43,33,23,65,78,101,134,159,177,199,177,208,187,155,137,107,116,132,89,101,69,28,31,56,58,87,89,110,90,95,85,68,60,55,61,66,47,61,43,37,47,45,76,72,88,89,87,113,102,87,77,52,55,66,42,40,26,79,86,106,113,163,178,184,200,180,191,167,150,99,110,131,99,83,84,33,36,58,54,83,92,95,103,86,87,68,72,50,57,61,54,50,56,46,50,48,59,80,86,89,97,94,104,99,78,49,53,70,45,33,28,86,94,105,107,160,159,201,207,184,203,180,151,110,88,141,108,80,83,39,40,56,55,78,81,100,111,80,96,75,77,49,50,65,57,48,56,47,54,49,52,82,78,101,96,104,107,105,74,61,38,76,51,32,27,87,102,97,115,152,154,188,210,196,200,193,148,126,84,138,109,74,91,44,42,50,61,76,72,98,116,86,95,83,75,51,49,61,55,48,61,43,60,47,54,76,82,90,94,110,105,110,73,75,35,77,54,26,30,83,97,92,118,136,167,187,200,187,211,201,156,133,93,122,112,78,94,44,46,40,64,70,82,95,104,86,101,92,74,54,53,56,56,45,67,39,51,52,54,66,85,92,96,101,110,109,82,79,40,66,56,33,27,87,96,86,109,129,146,187,204,189,215,205,157,138,106,106,121,83,98,46,48,33,57,61,73,91,105,97,100,97,71,62,54,54,62,46,67,41,48,53,52,68,73,96,99,92,115,108,86,76,52,52,59,37,31,87,89,93,106,121,163,180,190,198,206,203,165,155,100,98,123,95,85,46,46,41,52,64,73,91,89,104,103,98,68,77,51,50,59,55,56,41,43,52,54,57,90,89,101,94,103,105,97,78,49,48,64,40,29,82,90,96,101,110,157,166,207,194,199,211,179,150,109,81,133,93,83,42,53,42,46,58,72,84,95,109,93,104,77,81,52,49,62,49,57,40,37,54,55,52,85,82,112,85,106,107,102,69,57,32,71,44,26,79,98,99,89,114,156,157,189,205,199,203,192,146,127,81,127,85,89,39,59,45,39,60,74,80,94,114,90,98,83,78,57,48,60,42,62,40,39,54,50,54,82,77,95,91,109,105,109,68,70,33,67,43,27,86,80,97,77,106,128,158,182,193,179,212,194,160,131,91,109,92,95,36,47,54,30,57,61,82,86,106,81,103,92,74,60,52,52,51,63,50,33,43,47,49,67,76,96,87,98,109,102,86,71,39,57,41,32,83,87,98,71,104,122,152,181,204,180,212,204,157,138,105,92,101,95,38,45,58,29,52,57,73,89,111,89,101,100,72,67,55,48,56,60,45,42,40,42,52,65,79,92,93,91,111,104,85,71,50,44,45,35,72,89,85,88,104,111,145,182,191,192,203,200,169,160,97,89,104,91,30,49,51,41,51,52,73,90,96,101,102,98,70,83,52,46,60,58,42,40,34,47,53,59,72,92,95,91,101,102,99,77,45,43,44,33,85,77,80,91,97,95,156,165,186,196,193,211,175,159,107,80,109,93,41,40,49,42,46,43,77,83,90,111,90,106,71,87,51,49,58,60,44,37,31,49,51,52,79,82,96,85,103,105,104,72,56,31,51,33,83,73,87,90,95,101,143,161,174,211,200,206,187,147,125,81,104,102,40,36,53,42,43,48,69,75,92,120,94,99,81,82,57,48,54,68,43,37,34,48,52,53,74,86,82,91,106,107,106,65,68,33,50,34,76,85,76,98,88,110,119,175,178,206,192,205,197,160,123,88,95,108,39,38,47,51,39,56,62,81,93,111,88,99,98,77,58,53,50,71,37,47,29,47,49,54,57,94,85,95,104,106,99,83,65,35,45,37,75,89,87,99,83,116,115,156,189,209,199,207,202,156,126,101,80,118,37,43,47,55,35,60,53,75,97,114,96,96,100,74,65,54,45,71,38,46,40,44,48,56,62,81,92,95,103,111,102,82,61,47,35,47,69,85,88,96,90,108,106,156,196,193,215,204,209,160,144,92,73,119,39,38,49,53,40,53,52,78,95,94,109,107,102,69,78,52,41,70,30,47,39,43,50,55,54,78,101,99,106,97,107,91,66,40,32,49,71,96,87,83,107,99,100,155,191,192,208,202,212,179,142,103,69,127,37,48,45,52,45,49,48,76,95,89,113,95,104,74,82,51,46,72,34,48,42,31,62,50,52,79,96,103,95,107,108,105,60,52,23,55,47,76,60,90,67,92,102,114,100,67,64,62,88,81,57,40,35,28,24,43,26,44,35,55,47,52,45,29,32,27,39,41,26,26,24,23,23,33,34,46,32,37,55,62,55,38,32,35,49,40,31,14,11,5,43,67,72,76,80,72,113,106,93,88,63,57,81,89,62,37,34,28,22,40,33,37,38,44,52,54,45,35,30,30,37,41,29,26,21,22,21,27,39,39,42,28,61,52,48,53,33,27,44,48,33,11,13,6,48,60,70,76,94,70,99,123,106,91,76,49,81,89,63,53,30,33,24,33,34,41,43,43,46,55,51,35,35,25,36,42,30,32,20,25,24,27,35,35,52,27,53,68,55,56,40,24,44,48,33,21,10,8,57,57,64,66,113,78,106,125,114,99,76,52,76,89,67,50,28,27,31,30,32,32,55,49,51,56,51,42,33,25,36,42,31,27,22,19,26,27,32,34,58,29,55,69,63,57,43,27,40,47,36,23,6,8,56,49,74,68,99,83,108,122,112,104,70,62,65,83,69,43,29,34,31,29,40,32,49,47,60,53,48,46,31,28,31,39,35,22,19,27,25,20,34,36,50,36,48,69,64,58,39,34,34,44,34,21,10,7,66,52,67,68,98,103,97,140,122,111,75,70,61,82,76,43,31,27,32,31,32,40,50,48,58,68,50,48,30,33,28,35,38,25,23,20,34,21,35,28,48,55,39,72,72,63,45,37,33,47,38,18,8,7,69,67,72,65,88,106,95,149,125,105,96,69,54,82,81,48,28,29,36,32,36,35,40,51,54,74,53,53,36,30,28,38,35,29,21,22,33,35,36,30,48,55,41,75,72,52,60,39,26,44,46,19,7,7,78,72,64,67,80,112,93,146,136,118,95,76,52,72,81,47,39,29,39,39,32,37,41,53,59,70,59,52,39,32,26,33,43,26,25,25,39,33,32,30,39,59,34,76,77,66,56,44,26,39,38,21,14,4,100,76,59,60,69,120,104,152,140,122,98,74,57,67,85,49,38,27,44,43,32,31,32,58,63,77,64,50,43,29,27,30,45,26,23,25,56,33,27,29,37,62,41,75,76,72,55,45,30,37,40,23,15,2,78,81,57,63,71,107,105,149,128,131,104,70,66,66,81,56,33,33,31,47,32,35,35,50,58,83,57,54,47,30,30,29,39,32,21,25,47,34,25,28,36,57,47,66,71,77,57,40,36,37,42,24,12,8,85,88,56,62,65,113,126,126,144,138,116,80,67,63,80,63,33,31,33,47,36,32,33,51,65,69,69,57,49,35,33,28,36,33,21,24,52,41,20,30,32,62,61,57,75,81,67,45,34,35,44,30,12,7,98,84,62,66,64,128,153,147,158,144,110,96,68,61,71,69,40,29,38,45,32,37,32,55,75,82,73,56,51,39,29,30,37,32,25,23,60,39,30,29,32,73,78,65,85,88,59,57,39,31,34,37,15,6,111,95,72,64,63,117,175,153,156,157,131,98,77,54,67,75,38,38,40,52,41,33,34,56,89,82,77,64,54,44,33,24,38,39,24,27,71,43,31,31,29,61,86,71,79,93,77,54,44,30,29,36,14,11,117,100,75,57,67,113,193,167,163,152,139,107,77,61,61,78,40,35,53,52,42,33,29,56,97,92,74,66,58,49,31,29,34,43,21,25,64,48,33,24,38,57,96,75,89,86,81,58,46,32,27,35,19,10,128,93,92,54,77,97,191,190,171,150,130,118,73,65,62,69,46,35,57,46,51,30,39,48,98,105,83,64,55,54,34,30,31,37,27,24,71,47,41,24,38,49,93,85,88,86,75,64,39,35,31,32,19,11,122,99,100,62,78,88,183,197,157,173,132,114,86,71,59,63,59,54,52,56,54,37,40,38,90,108,77,82,55,51,39,34,29,35,30,42,70,43,46,25,38,50,93,89,80,91,77,63,47,37,30,28,29,12,107,104,86,67,73,90,153,200,166,177,134,109,105,69,55,65,56,59,53,54,50,36,43,44,75,106,85,82,51,55,47,29,30,37,29,45,54,50,36,31,30,46,78,94,81,95,83,54,58,40,25,28,27,14,85,106,89,69,64,90,131,197,162,171,146,119,99,78,48,65,63,55,41,52,52,38,35,43,65,103,78,81,61,52,48,34,25,37,37,43,44,54,37,31,29,47,66,94,84,90,85,67,51,44,23,28,26,12,78,101,94,68,75,75,112,184,177,172,143,122,101,79,60,57,58,59,34,53,49,38,44,35,56,93,96,78,60,51,50,35,29,31,32,46,44,48,45,30,31,40,56,91,81,94,83,71,51,44,31,26,26,13,72,109,80,82,62,81,100,169,182,165,149,126,112,83,64,59,61,57,37,54,38,48,35,41,51,83,99,80,62,54,57,37,30,33,32,44,35,55,42,34,27,40,49,86,83,85,87,72,55,46,34,26,29,13,71,112,86,81,66,66,98,171,182,156,168,126,107,91,71,54,55,63,37,52,44,42,40,34,52,83,99,75,74,55,49,41,36,29,32,42,34,60,42,39,26,32,46,88,83,81,94,71,58,50,35,25,23,21,88,107,89,77,63,78,98,155,177,168,176,132,104,106,70,51,63,65,45,51,42,42,34,43,49,80,92,87,75,55,51,48,31,27,38,45,43,56,47,35,29,35,49,75,85,81,101,77,53,58,39,24,25,20,85,92,104,79,71,68,97,145,183,167,166,146,116,102,75,55,58,70,48,45,46,46,41,32,46,82,97,82,80,63,51,46,36,29,35,48,37,47,58,33,30,36,51,63,86,85,86,83,65,56,39,26,23,22,79,97,109,90,71,70,88,132,187,193,177,143,125,105,72,66,51,73,42,46,54,45,39,32,43,75,97,107,81,60,51,50,32,35,30,51,37,51,55,45,32,38,45,57,90,86,96,83,74,55,40,31,21,22,83,90,108,83,79,64,98,128,193,190,179,160,124,115,75,67,48,77,41,45,51,41,42,30,48,66,101,107,86,71,51,57,34,35,30,51,42,45,57,42,37,34,50,62,92,83,93,89,73,58,41,32,18,26,80,89,109,90,78,75,102,124,196,184,165,182,126,119,80,66,49,79,33,52,48,44,41,43,51,58,103,99,80,84,53,55,36,36,30,51,47,37,61,46,37,32,51,66,93,85,85,98,73,64,44,30,19,28,30,40,56,68,56,59,63,59,48,69,58,59,53,77,92,62,40,37,17,22,30,42,27,23,21,24,19,28,19,24,25,37,42,33,29,24,13,18,26,26,29,35,42,34,29,40,38,34,28,39,49,29,11,13,24,37,52,72,47,63,60,57,52,66,64,54,62,73,78,66,43,40,10,24,26,44,27,26,22,22,19,30,19,21,27,35,37,35,31,29,13,13,26,28,21,37,38,35,33,36,45,33,35,38,41,31,12,11,24,34,47,65,52,58,61,56,49,60,68,53,60,65,73,70,48,41,11,22,25,32,31,26,23,21,19,23,24,21,24,31,33,36,31,31,13,12,22,33,21,32,38,35,30,37,44,32,36,34,40,34,16,10,17,36,47,58,54,50,57,56,49,57,63,60,57,60,62,84,46,43,7,20,27,30,31,23,23,21,19,22,22,24,20,29,30,43,32,30,10,16,20,28,23,27,34,35,30,35,41,36,37,31,32,41,14,13,16,30,44,54,55,53,53,51,52,53,68,56,60,56,63,82,49,46,6,17,24,28,33,23,22,18,20,21,23,22,25,25,32,42,30,34,10,13,20,26,22,30,31,33,32,32,45,34,35,31,31,40,19,12,16,27,34,53,62,48,52,53,48,53,65,67,52,56,68,73,48,39,7,14,19,29,36,22,22,19,18,22,23,25,19,27,36,34,31,32,9,13,15,24,26,26,30,34,30,31,42,42,33,29,32,39,17,7,13,22,34,46,63,40,49,48,43,57,66,60,55,57,60,63,45,36,5,10,21,22,38,21,20,18,18,22,29,21,19,26,31,32,25,30,8,12,13,24,25,19,29,30,25,35,37,39,36,31,29,31,20,6,11,20,33,39,61,40,52,44,46,56,61,68,53,54,58,60,45,42,5,9,23,19,31,24,23,16,20,22,24,25,21,23,30,29,23,33,6,11,10,20,30,16,29,28,26,34,37,43,32,31,28,31,22,9,12,15,32,39,56,43,45,46,50,51,60,67,57,52,57,54,53,42,4,6,21,22,26,25,18,19,19,20,23,24,23,18,29,28,28,32,8,9,11,17,30,18,27,27,31,31,37,43,34,34,28,26,25,10,11,13,29,38,51,48,44,43,55,51,56,70,53,54,54,50,54,46,3,4,18,20,25,29,18,16,20,20,22,23,23,22,25,27,30,33,8,9,11,18,26,19,26,27,35,31,34,47,30,32,29,23,24,13,6,14,26,31,44,48,39,47,53,46,58,69,62,47,52,57,46,47,0,6,14,18,22,27,14,21,19,20,23,23,24,17,26,31,25,37,6,8,12,13,22,21,25,26,34,26,35,46,38,30,26,26,21,10,5,12,23,30,41,50,34,48,52,36,59,66,62,49,53,53,41,44,1,5,10,19,17,29,15,18,18,17,24,25,23,18,25,27,23,34,4,7,13,11,24,21,19,30,34,19,35,41,39,31,28,26,18,10,3,9,21,26,33,47,35,46,46,46,55,60,67,48,51,50,41,38,0,3,9,18,15,20,19,16,15,20,23,24,24,19,23,27,21,28,3,6,12,8,18,27,16,30,31,26,32,36,43,29,28,23,20,10,11,9,16,27,29,46,43,34,40,53,48,60,70,54,47,48,36,39,5,2,7,17,15,20,24,11,14,21,21,24,27,20,17,26,22,28,6,7,9,10,14,26,19,23,26,32,27,36,43,34,30,22,14,11,13,9,13,25,29,44,45,36,40,55,52,54,71,49,50,48,36,41,7,2,5,15,16,19,25,13,13,20,21,22,26,20,20,27,21,29,6,7,8,10,13,25,20,23,27,35,31,32,45,29,30,21,15,12,15,6,13,23,25,38,43,40,40,57,48,58,63,52,43,47,44,39,8,1,6,12,15,14,24,11,13,21,20,25,22,21,17,26,24,30,7,5,7,11,10,24,19,29,27,36,28,33,41,31,26,21,20,9,17,5,12,19,26,36,42,33,42,51,44,59,65,54,42,49,39,37,9,2,5,8,16,13,23,12,13,18,18,25,27,19,18,27,24,27,8,3,7,11,10,23,19,21,29,33,26,34,38,35,24,22,15,10,23,5,10,15,23,24,51,32,40,45,46,56,56,57,41,46,41,39,12,2,4,6,15,10,24,13,11,14,19,23,24,23,18,23,25,27,11,3,6,9,8,14,27,19,29,31,27,33,32,34,23,23,16,12,12,12,12,14,26,21,43,35,42,42,47,57,50,58,45,43,36,39,7,6,4,6,17,9,19,17,10,14,16,25,24,25,20,18,23,29,5,6,8,8,9,12,24,18,32,28,31,32,26,33,25,25,13,10,13,12,11,11,21,27,34,36,42,43,52,55,50,59,41,39,37,32,6,7,3,4,13,13,16,17,10,16,17,23,25,26,18,19,21,26,7,5,8,7,8,14,18,19,32,27,35,32,25,33,23,20,16,6,14,15,9,10,19,21,32,38,41,41,59,45,60,55,45,37,34,36,6,8,3,5,9,12,13,22,8,15,20,19,29,24,19,18,19,30,8,7,6,5,10,9,19,16,33,26,39,26,31,31,26,19,15,6,12,18,7,12,17,21,31,42,34,39,57,41,60,58,46,36,39,31,6,9,2,4,6,13,11,23,10,11,21,17,27,30,17,19,21,25,6,9,5,8,11,8,20,19,24,28,36,24,33,28,29,17,18,6,10,18,8,9,16,22,21,45,32,45,51,49,61,52,48,33,37,36,6,11,3,3,6,14,7,19,16,12,16,20,27,28,21,17,19,27,4,7,5,6,10,8,14,26,16,33,35,29,34,24,27,16,18,9,12,13,16,15,13,24,24,37,44,44,46,49,57,50,54,34,33,35,6,7,9,4,5,14,10,14,24,11,17,16,26,26,25,17,14,29,6,6,7,11,8,10,14,23,20,33,29,33,31,24,29,17,19,6,16,15,15,18,14,26,24,32,49,47,48,55,55,51,56,30,30,42,9,7,8,7,6,15,11,14,22,14,16,20,21,28,25,15,15,32,7,8,7,11,8,11,13,18,27,33,32,35,34,23,31,15,15,10,13,14,17,17,14,24,19,34,50,47,45,64,48,62,53,35,26,40,4,6,10,8,8,12,11,14,26,14,17,24,19,32,25,17,12,30,9,8,7,9,6,12,8,20,24,33,28,40,29,30,28,18,14,10,170,155,259,361,331,361,318,368,319,281,257,217,273,273,232,161,105,64,83,63,133,175,145,177,159,185,160,135,118,114,136,151,114,94,64,39,88,92,126,185,186,184,158,182,158,145,138,104,137,122,118,67,41,25,151,172,244,347,387,340,354,367,353,315,264,210,281,258,241,181,107,68,77,63,124,175,181,161,179,191,160,159,133,92,155,139,123,112,63,39,74,109,120,172,206,179,175,176,193,156,131,118,126,119,118,69,44,29,129,178,217,326,391,321,332,376,352,339,265,222,245,263,271,167,127,76,59,74,105,167,193,147,165,194,175,166,133,97,136,134,138,101,78,46,70,103,111,159,199,175,168,183,178,173,131,124,108,128,132,65,49,30,131,196,194,325,383,358,390,359,385,342,298,243,236,259,271,187,127,81,55,90,84,175,175,163,183,189,195,168,144,108,130,132,150,102,74,56,76,106,110,150,208,195,207,170,190,174,154,135,106,127,121,85,53,25,169,187,214,306,401,360,435,363,450,361,306,262,223,278,257,197,130,83,81,87,92,158,188,168,198,186,226,185,144,120,120,137,149,101,80,54,88,100,122,148,213,192,237,177,224,176,162,142,103,141,108,96,50,29,165,179,217,294,400,407,437,396,448,384,334,284,210,286,238,208,137,88,77,86,89,153,185,197,206,196,224,185,159,141,106,151,133,106,86,53,88,93,128,141,215,210,231,200,224,199,175,143,104,135,105,102,51,35,159,179,226,276,381,415,403,417,426,403,355,286,218,287,240,215,137,97,77,88,86,129,192,186,187,208,221,182,176,150,99,154,129,113,85,61,82,91,140,147,189,229,216,209,205,221,179,136,119,133,111,102,52,36,158,188,220,258,356,406,372,413,424,409,379,300,224,247,243,232,120,110,77,88,91,118,172,197,160,202,217,203,180,157,101,137,124,125,77,69,81,100,129,140,184,209,212,211,207,206,199,143,123,110,119,107,43,41,143,199,211,238,341,378,359,417,397,425,388,320,238,221,241,242,131,111,75,88,93,103,168,165,165,201,203,213,189,153,111,127,123,139,81,68,68,111,118,135,173,213,194,216,194,212,199,167,127,94,118,103,50,43,186,214,200,250,314,390,342,426,392,443,394,320,263,199,250,227,143,112,92,99,93,106,154,169,164,195,198,220,194,148,128,108,129,138,86,74,94,115,107,144,160,221,178,231,194,223,200,172,135,91,121,89,57,38,185,210,189,245,311,394,376,421,411,437,405,342,282,198,257,216,152,126,93,100,90,98,155,181,181,192,194,223,197,155,145,101,144,123,87,89,92,110,99,147,156,213,195,229,217,214,208,187,137,97,113,93,65,37,179,201,211,240,294,387,411,417,442,441,409,360,284,207,259,213,166,133,90,104,103,95,141,187,190,191,210,229,183,175,143,97,150,119,98,95,89,97,108,145,153,200,221,226,232,212,226,185,141,110,109,94,68,38,201,209,211,236,260,356,403,400,444,448,423,377,298,217,231,225,182,131,99,104,98,104,121,175,199,176,214,223,203,184,148,103,135,124,104,95,102,105,113,132,139,181,204,224,230,225,220,193,150,114,96,101,78,36,225,219,218,235,240,329,404,404,470,427,431,396,306,238,203,218,191,131,101,108,98,108,105,171,188,183,223,217,210,190,146,113,118,124,115,90,124,111,120,127,135,158,216,221,247,210,221,206,160,125,85,94,76,41,225,217,223,218,253,295,402,395,457,422,450,402,319,258,189,225,186,144,99,109,105,107,107,154,188,188,216,203,223,197,151,126,107,127,110,100,126,108,118,111,146,141,214,207,241,219,227,205,168,132,82,98,76,44,224,224,222,211,234,290,406,393,448,437,440,400,333,268,185,227,173,163,103,105,105,104,99,148,184,196,210,213,220,191,151,141,99,137,100,107,121,119,117,107,135,142,222,197,238,224,220,209,182,127,86,90,73,56,231,211,220,229,221,280,391,399,436,448,442,408,351,268,198,222,176,175,103,100,112,114,91,130,197,196,205,215,228,182,176,137,100,135,104,113,128,111,108,115,130,150,194,203,231,233,214,226,175,131,98,87,72,62,209,213,218,235,220,253,348,408,395,441,451,406,367,281,213,196,185,184,96,103,106,109,97,114,177,208,175,217,226,192,181,144,105,118,113,118,113,110,112,126,123,139,171,200,220,224,225,214,186,137,108,78,72,66,216,220,210,230,226,227,320,395,395,460,428,432,373,292,225,181,178,195,101,106,101,104,103,98,173,185,189,220,221,204,187,148,108,106,114,122,115,114,109,126,123,129,147,210,206,240,207,228,186,144,117,75,64,73,192,227,218,232,221,236,281,400,390,451,413,455,381,294,251,167,181,184,90,104,109,114,102,104,147,188,193,212,209,224,192,144,124,99,118,114,102,123,109,118,119,132,134,212,197,239,204,231,189,150,127,68,63,70,197,217,230,215,210,224,296,389,378,443,429,435,394,305,265,163,182,175,87,109,114,107,100,96,152,182,189,219,209,220,195,145,136,91,121,109,110,108,116,108,110,128,144,207,189,224,220,215,199,160,129,72,61,66,172,221,212,222,217,213,263,370,399,421,429,439,405,335,258,174,180,188,79,111,103,114,105,89,125,184,197,202,213,227,187,174,130,92,118,118,93,110,109,108,112,124,138,186,202,219,216,212,218,161,128,82,62,70,165,205,225,224,243,210,243,334,400,403,438,453,415,350,266,189,154,208,77,99,113,109,112,91,118,174,205,194,214,227,200,177,136,99,100,133,88,106,112,115,131,119,125,160,195,209,224,226,215,173,130,90,54,75,145,195,225,234,228,220,221,316,393,391,459,426,440,364,276,200,149,224,67,93,111,109,109,96,105,168,186,193,217,219,209,186,141,99,94,148,78,102,114,125,119,124,116,148,207,198,242,207,231,178,135,101,55,76,141,205,237,233,241,226,238,290,403,395,450,428,455,376,290,217,141,220,65,93,115,115,120,103,113,151,193,197,215,212,229,186,147,109,88,147,76,112,122,118,121,123,125,139,210,198,235,216,226,190,143,108,53,73,121,207,223,246,232,208,232,275,400,392,465,442,450,387,296,231,139,224,55,86,114,118,117,100,108,137,183,198,229,215,226,193,146,124,83,155,66,121,109,128,115,108,124,138,217,194,236,227,224,194,150,107,56,69,74,95,112,146,160,144,154,134,142,89,88,91,96,134,101,55,50,35,43,44,50,80,54,67,64,57,62,43,43,44,42,66,53,32,29,19,31,51,62,66,106,77,90,77,80,46,45,47,54,68,48,23,21,16,63,79,97,147,169,127,156,137,129,125,83,74,102,131,118,55,48,32,38,32,46,77,64,52,69,58,52,60,41,38,45,63,61,33,29,17,25,47,51,70,105,75,87,79,77,65,42,36,57,68,57,22,19,15,63,78,94,142,152,135,139,153,124,140,86,78,104,112,129,62,45,35,34,35,47,70,65,58,65,64,51,61,37,44,43,55,61,39,28,21,29,43,47,72,87,77,74,89,73,79,49,34,61,57,68,23,17,14,57,80,89,136,154,131,135,161,123,146,97,84,98,103,128,67,44,36,28,39,42,68,67,52,64,66,50,63,45,45,45,44,66,38,29,23,29,41,47,68,87,79,71,95,73,83,52,39,53,59,62,29,15,13,58,78,90,122,148,133,137,155,135,146,100,93,93,96,122,87,43,35,32,40,39,56,72,54,56,71,55,61,48,47,43,42,62,50,28,22,26,38,51,66,76,79,81,84,80,85,52,46,50,54,60,37,15,13,59,72,92,101,142,145,128,172,147,140,113,93,87,94,124,91,44,41,35,41,38,47,76,58,55,74,60,56,58,48,39,45,65,48,30,26,24,31,54,54,66,87,73,98,87,84,55,45,48,49,59,43,14,15,62,78,80,98,141,156,128,171,152,131,131,94,76,98,130,97,45,38,36,44,31,48,70,66,56,78,59,52,60,50,39,45,67,55,30,26,26,34,49,50,71,90,72,93,93,79,71,44,37,53,63,42,15,12,70,74,89,94,142,146,141,163,167,134,146,99,79,102,104,107,48,41,38,40,38,45,69,65,62,79,68,53,61,46,46,44,56,55,34,29,32,34,51,49,73,81,79,84,99,81,85,53,33,58,48,52,14,12,83,69,93,93,131,138,147,174,182,133,154,109,86,94,100,111,55,45,47,35,45,43,61,63,69,81,76,57,64,49,47,46,45,61,35,35,36,34,48,50,70,75,78,93,106,76,90,60,39,48,55,50,20,10,78,69,94,96,118,120,172,168,187,150,160,107,95,92,94,112,64,42,41,41,47,41,48,60,85,76,81,62,67,50,50,44,43,63,37,32,37,28,47,55,70,60,87,92,106,88,93,57,45,48,51,49,27,10,81,77,82,94,103,122,156,164,197,156,149,124,103,89,90,109,72,42,41,46,45,39,43,61,73,72,84,69,60,60,52,41,46,60,42,30,40,31,37,55,60,61,83,92,113,87,89,64,51,48,44,49,30,12,93,79,88,86,90,125,159,177,195,163,146,141,104,85,95,107,80,40,51,45,50,35,36,60,72,85,87,69,59,65,54,44,45,58,48,27,42,34,38,51,54,65,87,92,108,94,87,76,50,41,50,49,32,13,102,83,78,95,94,128,152,175,196,178,146,150,110,88,101,89,75,47,55,44,44,43,43,55,71,89,91,75,62,66,50,50,45,52,41,32,47,39,34,52,51,73,81,86,105,103,84,84,60,38,56,37,34,15,101,98,71,100,95,129,153,170,197,189,140,156,117,99,88,86,81,48,53,53,36,50,42,54,79,88,92,79,61,71,52,52,43,45,46,29,48,45,35,50,53,75,74,82,105,110,79,85,65,47,45,41,35,19,106,89,70,99,98,118,143,186,187,190,149,157,111,102,91,83,83,59,56,51,36,55,41,43,80,93,86,85,60,71,51,52,44,43,48,35,50,38,34,44,57,75,63,93,101,105,89,86,60,50,47,40,35,24,99,92,83,89,104,97,141,180,178,205,156,159,124,100,89,76,90,65,53,48,45,51,44,35,74,88,84,91,68,69,61,51,41,41,50,37,46,44,38,38,60,62,67,92,94,114,88,90,63,49,48,35,40,28,77,101,82,84,98,96,147,175,168,205,161,150,142,100,85,82,87,64,39,54,47,45,41,40,72,83,84,92,66,70,66,54,42,41,49,37,38,47,35,39,57,56,75,92,84,113,95,80,76,46,43,41,38,27,82,109,88,73,102,94,152,164,175,202,175,147,153,111,87,82,72,63,43,59,48,38,45,41,72,81,89,92,72,66,70,53,49,38,46,35,39,50,40,35,57,53,80,83,86,110,103,81,83,58,38,44,26,28,87,103,99,72,100,92,142,164,171,193,187,136,161,113,93,73,70,71,45,54,55,35,46,41,59,87,87,94,76,61,74,55,50,37,43,38,42,49,44,37,54,51,83,77,84,99,111,75,87,58,43,36,27,33,78,110,92,71,95,102,135,144,186,188,188,147,158,108,97,75,66,79,36,59,53,35,48,42,51,80,95,89,81,61,75,50,53,37,42,47,42,51,39,36,47,60,84,64,91,99,107,86,83,58,44,38,24,32,83,103,90,76,87,106,119,148,178,178,202,157,147,123,97,76,69,86,35,53,49,42,48,40,47,79,87,84,90,68,66,63,53,35,41,52,48,50,41,34,39,66,72,69,91,94,112,89,81,60,44,41,28,34,76,91,99,85,87,105,103,146,179,174,206,160,152,134,91,74,70,88,31,48,52,50,48,41,43,73,87,83,98,63,71,63,52,39,37,55,45,43,47,35,39,64,60,73,92,91,108,97,81,71,39,35,33,33,69,87,99,92,74,106,97,147,162,176,200,175,148,145,96,82,64,86,28,45,50,52,38,45,44,69,83,86,97,70,67,68,48,48,31,54,41,42,49,40,36,61,53,78,79,90,103,105,81,77,48,34,33,32,55,89,101,104,70,109,94,135,168,173,200,184,138,148,100,83,56,86,24,45,48,60,36,51,41,57,92,88,94,75,64,70,50,45,32,50,31,44,53,44,34,58,53,78,76,85,106,109,74,78,50,38,24,36,55,85,108,101,76,101,98,126,154,185,192,184,150,151,99,83,58,74,27,38,50,58,40,52,42,46,85,95,88,80,65,72,47,48,34,43,28,47,58,43,36,49,56,80,69,90,104,104,85,79,52,35,24,31,50,88,113,97,84,86,110,124,153,182,190,194,160,147,108,76,57,76,29,36,54,51,43,47,43,51,82,92,85,88,70,67,55,45,32,44,21,52,59,46,41,39,67,73,71,90,105,106,90,80,53,31,25,32,249,289,398,524,496,443,475,473,423,359,294,257,297,287,253,155,125,107,104,142,213,251,253,224,228,232,218,191,139,130,157,144,146,97,73,72,145,147,185,273,243,219,247,241,205,168,155,127,140,143,107,58,52,35,252,295,347,505,498,472,479,517,464,350,355,234,287,296,261,179,121,118,114,134,178,250,254,239,227,259,230,183,178,117,148,151,150,105,72,79,138,161,169,255,244,233,252,258,234,167,177,117,139,145,111,74,49,39,231,296,344,496,507,497,463,520,470,374,381,237,290,290,267,195,117,117,109,130,180,244,259,244,220,266,230,194,192,121,150,155,142,122,68,80,122,166,164,252,248,253,244,254,241,180,189,116,140,135,124,73,49,37,222,288,320,462,521,512,464,500,493,396,367,257,274,297,258,219,117,120,106,133,158,235,262,253,235,247,242,205,186,131,142,157,137,132,67,80,116,155,162,227,259,259,229,253,251,191,181,126,132,140,121,87,50,40,246,270,329,423,545,516,493,523,502,416,364,285,263,299,267,222,127,124,118,122,157,223,265,255,260,251,247,212,190,147,129,162,138,134,79,79,128,148,172,200,280,261,233,272,255,204,174,138,134,137,129,88,48,45,253,272,336,398,549,536,511,513,528,447,370,311,242,296,282,232,133,118,137,118,165,208,270,274,262,241,267,218,197,155,123,160,143,143,80,83,116,154,171,190,279,262,249,272,261,229,173,156,119,136,139,89,53,35,265,294,340,369,531,529,527,557,551,485,363,363,239,284,288,234,145,117,148,134,159,188,264,262,272,260,271,243,190,189,117,154,147,144,84,85,117,160,181,181,267,267,255,297,280,242,173,174,122,130,141,90,61,32,301,281,348,371,524,557,557,562,559,504,389,389,250,280,281,251,161,112,160,131,153,191,255,278,276,268,287,248,210,198,124,152,144,139,101,79,141,150,195,180,269,279,281,294,272,256,179,191,126,128,137,112,60,33,337,300,361,369,512,596,596,566,570,546,426,384,275,270,282,232,186,117,167,145,168,173,264,296,292,284,282,268,232,195,140,141,146,127,113,86,170,155,193,196,248,300,304,282,288,278,194,189,135,129,136,105,73,31,395,330,342,369,492,632,649,593,620,570,456,385,297,248,288,231,182,122,194,160,156,172,256,323,329,294,301,282,229,203,151,122,156,123,116,89,201,170,186,197,236,309,320,299,319,288,227,182,146,126,132,108,66,33,406,326,344,378,469,643,680,614,609,594,480,387,325,236,293,236,185,134,194,174,153,179,238,327,351,300,283,311,228,206,165,120,159,124,124,91,212,152,191,199,231,316,329,314,326,283,252,181,160,116,134,112,61,43,410,332,345,375,432,640,660,621,638,600,502,375,374,235,271,241,193,149,180,180,158,174,209,334,330,313,291,305,245,195,195,115,146,129,129,102,230,152,187,201,223,306,330,308,347,295,257,180,179,120,125,112,64,47,421,362,329,384,431,630,674,674,633,618,524,396,396,242,256,236,193,166,201,194,155,178,220,327,343,335,294,317,255,208,201,128,138,134,119,115,220,168,174,206,211,303,331,339,339,301,269,188,195,114,118,102,74,51,440,380,328,374,436,574,693,679,601,605,574,405,378,281,241,245,178,185,206,202,160,176,216,294,351,337,299,292,284,205,202,144,131,142,105,134,234,178,168,198,220,280,342,342,302,313,290,200,176,137,110,103,73,51,387,404,344,341,423,505,696,689,596,617,581,438,377,301,237,256,176,193,169,214,178,153,206,265,340,353,293,302,288,217,205,156,124,149,104,147,218,190,166,188,217,240,356,336,303,315,293,221,172,145,113,107,72,46,394,416,331,352,403,456,648,695,613,608,606,475,374,322,223,273,185,197,167,206,180,154,194,246,313,359,300,284,318,231,206,170,117,156,108,148,227,210,151,198,209,210,335,336,313,324,288,244,168,152,106,117,77,49,393,426,345,359,385,440,600,693,600,632,613,492,366,369,222,256,201,206,186,201,190,171,184,224,304,363,299,292,312,249,194,196,116,148,117,150,207,225,155,188,201,216,296,330,301,340,301,243,172,173,106,108,84,56,356,425,377,332,378,447,561,661,656,603,616,512,384,376,235,252,202,203,161,210,205,159,177,239,276,346,323,285,310,254,206,197,130,140,127,139,195,215,172,173,201,208,285,315,333,318,306,258,178,179,105,112,75,64,337,420,383,330,374,430,522,655,664,563,610,556,403,364,264,232,213,210,147,204,202,161,181,215,275,331,331,276,297,278,217,197,140,132,131,144,190,216,181,169,193,215,247,324,333,287,313,278,186,167,124,100,82,66,313,403,406,335,353,407,476,658,653,593,601,569,436,367,267,221,225,199,138,184,216,163,168,202,255,330,332,290,294,288,225,198,146,120,143,127,175,219,190,172,185,205,221,328,321,303,307,281,211,169,121,101,82,72,318,402,419,326,349,388,433,647,658,600,588,575,457,364,285,200,234,216,142,178,217,176,162,195,237,320,342,293,279,311,227,197,156,110,146,137,176,224,202,150,187,193,196,327,316,307,309,264,230,167,129,90,88,79,309,394,431,341,372,388,412,615,679,591,607,571,481,348,330,207,220,224,146,185,212,183,185,192,215,314,353,300,290,303,247,185,182,111,136,149,163,209,219,158,187,196,197,301,326,291,317,268,234,163,148,96,84,75,287,399,425,381,326,394,419,574,657,650,578,584,486,376,351,220,213,236,130,180,216,205,158,185,221,293,339,328,283,309,247,203,188,122,127,159,157,219,209,176,168,209,198,281,318,322,295,275,239,173,163,98,86,77,269,381,432,403,327,389,403,518,686,686,557,567,522,401,345,242,196,253,128,168,212,211,161,179,203,279,339,352,278,287,272,220,186,132,119,171,141,213,220,192,166,210,200,239,347,334,279,280,250,181,159,110,77,82,269,356,421,433,341,341,395,492,694,678,587,572,546,426,349,247,192,267,130,164,202,225,167,165,196,272,343,349,289,289,284,231,191,142,113,179,139,192,219,208,174,176,199,220,351,329,298,283,262,195,158,105,79,88,252,345,420,455,340,355,420,468,661,712,605,562,569,434,350,259,169,287,117,165,186,236,180,154,211,262,324,369,300,270,312,227,193,148,99,197,135,180,234,219,160,201,209,206,337,343,305,292,257,207,157,111,70,90,48,61,49,72,71,86,79,72,54,55,29,29,75,76,44,35,11,12,23,32,23,31,41,46,36,33,25,26,14,13,40,36,19,21,10,6,25,29,26,41,30,40,43,39,29,29,15,16,35,40,25,14,1,6,53,69,42,60,89,98,90,79,65,63,34,33,53,85,51,38,19,7,26,37,17,30,48,51,42,34,33,31,17,14,27,44,22,22,15,4,27,32,25,30,41,47,48,45,32,32,17,19,26,41,29,16,4,3,60,55,61,54,98,95,96,86,72,59,46,34,42,87,52,46,24,11,29,31,29,26,48,53,45,38,32,29,24,14,24,48,19,27,18,8,32,25,33,29,50,42,51,48,40,31,23,20,18,39,33,20,5,3,58,57,65,52,96,103,105,92,81,62,49,30,42,82,61,42,28,16,28,31,30,24,46,51,53,47,35,29,22,14,21,46,28,19,20,13,30,26,35,28,50,52,52,45,46,33,27,16,21,36,33,23,8,3,61,51,64,52,98,96,112,92,75,67,56,36,35,76,70,42,27,15,29,28,31,25,43,50,59,42,33,30,26,17,17,42,35,18,18,13,32,23,33,27,55,46,53,50,42,37,30,19,18,34,35,24,9,2,67,55,73,55,86,97,121,99,84,68,66,36,33,71,75,40,30,17,29,25,41,23,42,48,61,43,34,32,36,18,16,39,38,18,20,14,38,30,32,32,44,49,60,56,50,36,30,18,17,32,37,22,10,3,60,64,72,62,79,113,125,118,95,71,71,36,39,54,77,45,29,22,21,32,41,27,42,57,64,51,43,34,39,19,18,27,44,19,19,17,39,32,31,35,37,56,61,67,52,37,32,17,21,27,33,26,10,5,70,76,66,72,76,133,114,127,114,81,72,48,41,46,85,44,34,22,26,36,37,32,41,66,63,56,54,36,40,26,20,25,47,17,23,16,44,40,29,40,35,67,51,71,60,45,32,22,21,21,38,27,11,6,77,72,68,75,81,131,129,131,116,92,77,54,39,45,78,50,31,26,33,30,36,34,41,67,67,60,58,41,40,28,19,24,45,22,17,20,44,42,32,41,40,64,62,71,58,51,37,26,20,21,33,28,14,6,78,77,63,66,81,145,132,146,125,93,76,64,40,41,72,57,32,28,40,32,30,28,41,71,66,67,60,40,39,32,21,23,40,29,15,21,38,45,33,38,40,74,66,79,65,53,37,32,19,18,32,28,17,7,81,80,69,74,71,135,140,158,129,107,77,77,39,45,64,61,32,28,39,32,29,37,32,67,67,79,57,43,38,45,20,22,36,31,14,22,42,48,40,37,39,68,73,79,72,64,39,32,19,23,28,30,18,6,96,75,81,77,70,135,173,158,146,122,80,79,38,48,59,62,40,25,49,27,41,40,31,69,77,77,61,55,38,48,20,24,29,33,18,18,47,48,40,37,39,66,96,81,85,67,42,31,18,24,30,29,22,7,105,79,93,69,82,134,185,159,158,133,86,78,54,47,51,72,34,33,49,35,48,34,41,66,83,80,71,55,37,44,28,23,26,37,13,25,56,44,45,35,41,68,102,79,87,78,49,34,26,24,25,35,21,8,110,88,91,75,84,134,189,166,171,138,95,76,63,42,49,66,37,35,51,44,47,37,45,61,84,82,83,63,38,41,32,22,25,35,16,23,59,44,44,38,39,73,105,84,88,75,57,35,31,20,24,31,21,12,107,89,100,73,84,111,210,170,180,150,97,75,68,45,42,66,40,35,51,49,49,36,42,56,94,86,89,68,41,38,34,24,20,36,19,22,56,40,51,37,42,55,116,84,91,82,56,37,34,21,22,30,21,13,93,104,99,77,91,115,191,190,189,150,113,79,77,43,43,61,47,36,49,56,45,35,49,61,92,89,96,61,49,40,44,21,20,33,24,22,44,48,54,42,42,54,99,101,93,89,64,39,33,22,23,28,23,14,118,115,92,89,89,117,182,207,194,158,133,80,81,44,44,49,49,37,58,65,36,46,52,59,89,92,97,68,57,39,47,22,22,25,28,21,60,50,56,43,37,58,93,115,97,90,76,41,34,22,22,24,21,16,110,116,100,102,85,118,170,212,199,168,137,86,86,50,41,44,57,31,52,59,47,54,49,59,86,93,105,72,61,36,48,25,23,24,32,20,58,57,53,48,36,59,84,119,94,96,76,50,38,25,18,20,25,11,111,118,99,90,82,113,160,216,202,173,142,106,78,65,39,42,51,35,54,58,52,49,42,58,77,93,101,80,65,45,41,31,21,24,30,21,57,60,47,41,40,55,83,123,101,93,77,61,37,34,18,18,21,14,106,116,112,99,86,103,149,227,197,181,155,110,79,74,42,39,49,41,46,58,61,50,43,51,75,96,103,85,73,48,39,37,22,21,29,24,60,58,51,49,43,52,74,131,94,96,82,62,40,37,20,18,20,17,114,109,110,105,82,107,136,212,204,191,161,117,83,82,44,37,45,46,52,62,58,54,37,58,67,97,98,94,69,53,40,46,22,19,27,29,62,47,52,51,45,49,69,115,106,97,92,64,43,36,22,18,18,17,100,118,121,93,88,100,131,190,214,195,150,134,90,87,45,37,42,47,52,59,67,39,44,61,66,89,97,98,66,64,40,49,23,20,25,28,48,59,54,54,44,39,65,101,117,97,84,70,50,38,22,17,17,19,106,118,116,101,98,96,127,185,214,195,167,133,104,89,55,40,35,49,61,59,56,45,50,54,67,93,95,105,72,62,45,48,29,22,23,29,45,59,60,56,48,42,60,92,119,90,95,71,59,41,26,18,12,20,114,119,126,103,101,106,129,179,219,197,168,132,116,84,70,41,30,52,67,56,55,51,55,55,69,92,96,103,80,63,48,46,38,21,21,31,47,63,71,52,46,51,60,87,123,94,88,69,68,38,32,20,9,21,107,117,134,107,103,106,126,164,239,210,178,147,118,91,76,50,31,70,68,51,63,55,48,58,65,82,108,110,85,72,50,48,43,25,22,44,39,66,71,52,55,48,61,82,131,100,93,75,68,43,33,25,9,26,101,121,123,108,114,95,123,161,218,211,188,154,136,93,92,55,40,79,61,48,66,50,54,50,57,80,104,106,100,67,60,47,54,31,27,53,40,73,57,58,60,45,66,81,114,105,88,87,76,46,38,24,13,26,115,138,175,241,244,315,326,282,226,200,157,169,222,227,153,116,72,56,58,70,86,101,129,173,138,146,98,89,82,74,124,122,79,73,49,39,57,68,89,140,115,141,187,135,128,111,75,95,98,105,74,43,23,17,124,118,174,218,245,279,352,308,255,212,175,142,211,219,183,114,82,55,61,59,91,101,117,141,172,147,117,94,83,67,123,115,96,66,56,40,63,59,83,117,128,138,180,161,138,118,92,75,88,104,87,48,26,15,113,111,164,198,254,252,324,317,257,214,177,139,201,204,183,113,85,56,50,55,86,99,112,129,159,155,122,93,86,70,110,109,98,68,52,42,63,55,78,99,142,124,165,162,135,121,91,69,91,95,85,45,33,14,136,116,152,199,259,273,356,311,292,235,209,146,183,213,191,127,88,58,64,58,79,96,109,145,179,140,145,103,97,76,96,116,104,77,54,44,72,58,73,103,150,128,177,171,147,132,112,70,87,97,87,50,34,14,139,110,160,202,259,272,374,333,314,257,219,165,174,213,209,129,90,63,65,57,79,98,107,141,189,145,163,114,102,88,83,114,113,81,56,44,74,53,81,104,152,131,185,188,151,143,117,77,91,99,96,48,34,19,155,118,144,204,252,282,368,348,326,270,231,185,157,211,205,134,103,69,82,55,68,100,110,133,195,146,169,119,109,96,72,116,112,80,60,51,73,63,76,104,142,149,173,202,157,151,122,89,85,95,93,54,43,18,158,138,129,200,267,308,348,349,315,293,239,210,146,210,194,153,94,64,81,67,63,100,122,144,170,164,153,141,106,100,71,121,103,90,53,46,77,71,66,100,145,164,178,185,162,152,133,110,75,89,91,63,41,18,174,129,129,182,241,339,350,355,330,301,246,219,152,203,192,156,88,74,88,57,63,92,114,162,171,170,153,148,111,101,79,114,104,91,56,50,86,72,66,90,127,177,179,185,177,153,135,118,73,89,88,65,32,24,163,138,126,163,237,324,358,372,312,312,267,235,161,179,201,161,97,61,82,63,60,83,111,162,169,183,140,159,124,103,85,97,112,93,65,42,81,75,66,80,126,162,189,189,172,153,143,132,76,82,89,68,32,19,165,138,121,169,224,324,368,384,331,331,283,238,183,177,197,183,99,71,73,62,60,86,114,149,176,194,140,173,133,104,99,91,106,105,68,49,92,76,61,83,110,175,192,190,191,158,150,134,84,86,91,78,31,22,175,156,128,164,239,345,375,395,357,343,291,243,199,162,201,179,107,76,71,76,57,84,126,161,174,191,157,175,132,106,104,85,115,101,70,52,104,80,71,80,113,184,201,204,200,168,159,137,95,77,86,78,37,24,177,149,152,153,247,349,391,414,379,371,308,258,215,150,196,181,125,81,78,72,73,78,134,154,170,187,174,177,142,113,103,78,120,99,80,58,99,77,79,75,113,195,221,227,205,194,166,145,112,72,76,82,45,23,205,174,146,150,245,349,449,432,395,382,324,265,234,157,189,176,134,89,96,77,65,73,134,169,206,191,183,179,153,122,108,87,110,100,85,65,109,97,81,77,111,180,243,241,212,203,171,143,126,70,79,76,49,24,222,170,172,144,226,330,468,438,414,342,330,280,252,168,172,183,133,96,101,84,79,67,120,171,214,198,204,153,162,131,116,91,99,106,84,70,121,86,93,77,106,159,254,240,210,189,168,149,136,77,73,77,49,26,225,181,181,127,214,342,480,462,428,354,349,280,255,183,166,174,151,96,107,85,84,59,109,178,224,203,217,153,178,129,118,99,91,103,93,71,118,96,97,68,105,164,256,259,211,201,171,151,137,84,75,71,58,25,225,185,177,129,206,329,482,451,413,374,366,289,264,201,151,179,154,102,108,90,78,62,98,181,225,202,197,161,186,127,124,106,83,112,93,69,117,95,99,67,108,148,257,249,216,213,180,162,140,95,68,67,61,33,230,183,160,146,174,317,469,456,417,382,362,306,252,224,135,177,151,113,110,90,69,68,85,175,218,208,193,178,176,137,120,111,71,114,89,80,120,93,91,78,89,142,251,248,224,204,186,169,132,113,64,63,62,33,218,200,184,132,163,269,432,476,426,374,367,310,257,235,144,168,142,129,109,92,84,59,78,148,210,217,198,173,174,144,124,111,81,101,88,92,109,108,100,73,85,121,222,259,228,201,193,166,133,124,63,67,54,37,218,218,184,155,161,248,426,487,423,389,344,321,274,251,155,153,137,131,106,95,84,71,81,136,216,220,196,191,152,159,126,120,85,89,90,91,112,123,100,84,80,112,210,267,227,198,192,162,148,131,70,64,47,40,218,217,185,176,150,251,372,506,446,410,359,341,274,249,169,138,135,145,98,96,86,83,77,130,189,240,193,210,161,171,125,116,92,77,86,103,120,121,99,93,73,121,183,266,253,200,198,170,149,133,77,61,49,42,216,209,177,171,152,238,360,478,445,396,372,357,273,245,184,123,138,142,104,99,78,80,77,121,185,223,205,195,169,182,120,115,99,69,90,107,112,110,99,91,75,117,175,255,240,201,203,175,153,130,85,54,48,35,203,204,187,161,160,233,355,469,444,416,390,348,292,245,207,119,133,147,101,91,90,74,81,120,183,222,197,199,186,170,136,119,101,64,93,106,102,113,97,87,79,113,172,247,247,217,204,178,156,126,106,55,40,41,206,201,201,178,147,205,349,445,493,441,383,359,295,237,218,119,124,140,91,94,94,79,69,108,176,222,224,208,179,173,144,118,99,69,81,106,115,107,107,99,78,97,173,223,269,233,204,186,151,119,119,50,43,34,208,206,215,173,177,209,340,460,498,442,411,363,312,258,224,132,114,149,97,96,98,76,85,114,161,237,227,208,202,161,155,126,106,73,71,108,111,110,117,97,92,95,179,223,271,234,209,202,157,132,118,59,43,41,216,209,219,179,193,200,343,423,557,455,433,379,345,265,241,147,110,145,108,92,99,81,88,114,159,205,269,204,221,171,174,120,115,79,64,102,108,117,120,98,105,86,184,218,288,251,212,208,171,145,126,68,46,43,205,217,209,187,190,217,336,444,526,478,412,412,366,272,243,160,97,152,97,99,94,80,87,115,155,211,255,221,200,189,188,120,116,89,58,107,108,118,115,107,103,102,181,233,271,257,212,223,178,152,127,71,39,45,12,28,22,30,45,36,32,38,30,40,34,20,28,45,52,33,28,27,6,13,13,15,23,17,18,19,12,20,11,8,17,27,24,16,13,19,6,15,9,15,22,19,14,19,18,20,23,12,11,18,28,17,15,8,10,27,16,29,36,37,30,38,27,38,32,29,25,41,48,37,29,19,6,13,7,16,17,20,16,18,12,22,9,11,13,24,27,14,18,9,4,14,9,13,19,17,14,20,15,16,23,18,12,17,21,23,11,10,9,24,18,28,32,44,28,32,29,32,42,27,23,37,49,34,32,19,5,10,9,15,16,23,12,18,13,19,14,11,10,25,25,13,20,10,4,14,9,13,16,20,16,14,16,13,27,16,13,12,23,21,12,9,8,17,23,28,29,45,27,33,29,33,41,29,23,33,46,39,25,24,3,8,11,15,15,22,13,19,13,17,17,10,10,22,26,17,15,14,5,9,12,13,14,23,14,14,16,16,24,19,13,11,20,22,10,10,10,11,28,19,26,44,28,32,30,33,43,28,23,27,46,37,25,26,4,5,13,11,12,22,13,18,14,16,19,9,10,18,26,19,13,16,6,6,15,8,14,22,15,14,16,17,24,19,13,9,20,18,12,10,5,15,28,19,25,41,27,26,38,31,37,32,21,25,45,38,20,23,2,6,13,10,11,20,12,16,18,13,22,8,8,15,29,17,9,15,3,9,15,9,14,21,15,10,20,18,15,24,13,10,16,21,11,8,6,11,23,18,30,31,27,27,37,29,39,31,26,25,37,37,27,25,2,6,12,8,15,13,14,13,19,12,23,10,9,14,23,21,10,17,4,5,11,10,15,18,13,14,18,17,16,21,17,11,14,16,17,8,6,9,19,18,28,30,36,23,33,32,34,40,26,23,35,38,26,23,2,5,9,10,12,15,18,9,17,14,17,15,10,12,24,20,9,17,4,4,10,8,16,15,18,14,16,18,17,25,16,11,11,18,17,6,6,4,15,24,30,27,33,22,35,32,32,41,27,23,34,37,30,23,2,2,7,13,15,10,15,9,20,14,15,18,9,11,23,20,13,14,4,2,8,11,15,17,18,13,15,18,17,23,18,12,11,17,17,9,2,6,11,27,24,30,34,19,33,32,34,45,26,22,30,41,27,25,0,4,5,14,12,11,15,8,18,15,15,20,9,11,19,23,15,12,2,2,6,13,12,19,19,11,15,17,19,25,17,11,11,18,12,13,0,6,9,25,23,29,27,26,29,39,31,41,30,21,26,41,29,21,0,3,4,11,12,9,13,11,16,18,12,22,8,10,15,25,14,10,0,3,5,14,11,20,14,15,13,21,19,19,22,11,11,16,15,11,2,5,7,23,20,30,28,33,29,34,30,43,29,26,26,32,33,25,1,3,4,11,9,11,13,17,13,17,11,23,8,10,14,19,19,12,1,2,3,12,11,19,15,16,16,17,19,20,21,16,12,13,14,13,11,3,6,20,20,29,27,38,27,36,30,37,40,27,23,32,33,23,5,2,4,9,10,13,10,21,9,19,13,20,14,10,12,21,16,11,6,1,2,11,10,16,17,17,18,17,17,17,26,17,11,11,17,12,8,3,3,14,22,30,28,35,25,38,30,34,42,25,22,29,29,25,2,2,2,8,10,14,9,17,9,20,14,16,18,8,11,20,16,14,6,1,1,6,12,16,19,18,16,18,16,18,24,17,11,9,13,11,10,3,4,9,25,24,26,41,19,36,35,38,43,25,19,26,30,26,2,1,4,5,12,10,9,20,6,19,17,18,19,9,10,17,18,15,8,2,0,4,13,14,17,21,13,17,18,20,24,16,9,9,12,11,7,7,3,8,23,20,30,31,25,27,37,37,40,28,18,23,34,26,2,1,3,4,10,8,11,16,9,17,17,16,22,8,8,15,22,15,5,6,0,4,13,12,19,15,16,10,20,21,18,20,10,8,12,11,12,9,3,6,19,19,32,28,30,22,36,32,41,31,21,20,27,32,5,2,3,4,7,7,12,13,15,12,19,14,23,10,8,12,17,19,7,7,0,2,12,12,20,15,15,10,17,18,18,21,13,8,10,13,9,13,5,5,18,17,28,26,37,22,32,32,38,40,21,17,26,31,3,4,2,4,5,6,10,11,19,9,17,14,22,14,9,9,20,17,6,9,3,1,13,11,18,15,18,13,15,18,16,26,12,8,6,14,9,9,5,3,14,21,28,31,38,22,34,31,36,40,20,14,26,29,4,2,2,2,5,9,11,13,18,9,19,14,20,17,7,7,19,18,5,7,3,1,9,12,17,18,20,13,15,17,16,23,13,7,7,11,8,9,4,4,11,18,25,30,39,20,31,36,35,42,21,15,22,25,3,2,1,4,3,8,7,10,19,7,17,17,19,18,8,7,16,16,5,7,3,0,8,10,18,20,20,13,14,19,16,24,13,8,6,9,9,10,6,3,9,17,23,29,34,25,26,42,33,39,24,16,19,29,5,3,1,3,4,6,7,11,16,10,16,20,16,21,7,8,12,22,4,7,5,0,5,11,16,18,18,15,10,22,17,18,17,8,7,7,6,13,7,4,8,16,21,28,28,31,26,38,34,39,28,18,18,26,4,5,1,3,5,5,9,9,12,17,13,19,17,21,9,8,11,20,2,8,6,1,3,11,12,19,16,14,13,19,17,18,19,10,7,6,7,10,9,5,7,16,19,27,28,35,23,35,32,33,36,19,14,25,4,4,2,2,5,6,8,11,10,21,8,17,14,21,14,9,7,19,3,6,7,3,2,10,11,16,18,14,15,18,18,12,22,10,7,6,8,11,8,6,5,14,21,25,29,35,21,35,32,33,38,21,13,26,3,5,2,2,2,6,9,12,11,18,8,19,14,18,18,8,6,20,5,6,6,4,3,8,12,13,18,17,13,16,18,15,20,13,7,6,10,10,11,5,7,11,25,23,31,34,20,32,37,33,39,19,14,25,2,5,3,2,5,4,12,8,13,18,6,18,17,18,19,8,6,20,8,5,8,3,2,7,13,15,18,16,14,14,20,15,20,11,8,5,9,11,13,8,5,12,21,23,29,35,26,25,42,30,39,21,15,27,1,6,4,2,3,7,9,9,14,17,10,16,18,14,23,6,8,21,8,5,9,6,2,5,12,14,15,18,16,9,24,16,16,15,7,6,52,66,136,141,130,122,127,141,135,135,99,77,131,177,130,103,70,52,23,30,66,65,65,56,60,68,62,60,47,39,75,88,67,68,46,40,29,36,70,76,65,66,67,73,73,75,52,38,56,89,63,35,24,12,60,53,111,141,136,117,109,129,131,149,105,85,105,185,128,106,80,54,37,24,46,78,69,56,55,62,63,66,51,45,59,99,61,69,50,45,23,29,65,63,67,61,54,67,68,83,54,40,46,86,67,37,30,9,50,47,98,144,131,117,109,115,139,135,123,87,92,175,146,109,79,58,34,23,43,68,70,57,48,56,69,62,55,43,49,96,68,74,50,47,16,24,54,77,62,60,61,58,71,73,68,43,42,80,79,35,28,11,56,44,81,146,133,114,95,120,133,134,133,98,86,152,163,109,72,66,42,23,34,68,67,54,43,63,66,60,62,47,45,84,82,66,50,54,14,21,47,78,66,60,52,57,67,74,71,51,41,68,81,43,22,12,55,42,75,131,140,114,96,107,136,128,143,104,80,130,174,107,88,64,42,21,35,64,62,53,46,54,66,58,65,50,41,74,89,62,63,52,13,21,40,67,78,61,50,53,70,70,78,54,39,56,85,45,25,12,44,48,62,128,138,114,102,93,137,133,136,117,72,127,169,114,78,72,32,26,31,59,62,56,44,46,69,63,58,56,40,72,88,62,57,58,12,22,31,69,76,58,58,47,68,70,78,61,32,55,81,52,21,14,40,49,55,118,149,124,101,88,122,137,148,102,79,110,171,105,85,73,25,32,28,49,72,57,40,45,57,67,66,46,42,61,93,56,60,55,15,17,27,69,77,67,61,43,65,70,82,56,37,49,78,49,25,18,40,49,50,104,150,134,103,98,116,147,138,117,81,91,161,118,89,72,26,30,27,44,72,64,41,44,58,74,66,49,39,50,91,59,63,55,14,19,23,60,78,70,62,54,58,73,72,68,42,41,70,59,26,17,36,54,42,88,149,130,105,88,114,146,140,126,91,88,145,134,86,74,20,37,22,35,71,57,43,37,61,71,65,55,43,49,83,70,55,58,16,17,20,53,78,73,62,51,53,75,75,71,48,39,62,64,31,16,36,49,41,83,128,131,90,88,108,138,129,139,100,78,126,147,79,80,21,35,18,36,64,55,41,40,58,64,60,63,46,41,76,78,48,65,15,14,23,47,64,76,49,48,50,74,69,76,54,37,50,69,31,15,34,42,48,68,125,128,99,83,92,137,133,144,106,74,118,150,89,72,19,29,23,33,56,56,51,37,42,69,61,64,49,40,73,82,49,58,15,13,25,35,69,72,48,46,50,68,72,80,57,34,45,68,40,14,40,39,48,59,121,118,105,88,95,123,140,151,106,82,100,154,84,77,23,26,24,28,53,54,52,39,45,59,68,68,48,42,61,88,44,59,17,13,24,31,68,64,53,49,50,64,72,83,58,40,39,66,40,18,36,37,44,50,107,126,99,83,99,105,148,137,116,83,85,142,97,85,21,23,19,24,46,57,50,41,42,53,72,65,51,39,48,85,51,65,15,14,25,26,61,69,49,42,57,52,76,72,65,44,37,57,46,20,35,39,50,42,89,128,97,88,90,102,144,142,119,92,80,127,107,84,25,21,27,20,36,59,40,50,35,57,68,65,55,42,47,73,59,62,10,18,23,22,53,69,57,38,55,45,76,77,64,50,33,54,48,22,34,36,52,41,74,121,107,87,83,103,136,139,132,99,76,106,123,85,22,19,34,17,33,55,39,48,38,54,65,63,62,44,41,65,70,59,12,17,18,24,41,66,68,39,45,49,71,76,70,55,35,41,53,26,31,41,49,45,61,113,104,103,78,87,133,133,144,103,68,96,128,93,20,22,29,18,31,48,40,53,38,35,72,60,68,47,37,61,75,61,11,19,20,27,30,65,64,50,40,52,61,73,76,56,31,35,53,32,39,44,49,45,52,112,104,105,83,89,118,134,151,100,74,89,135,90,21,24,30,19,24,47,46,53,41,38,61,66,73,45,40,54,79,62,18,20,19,26,28,65,58,52,42,51,57,68,78,55,34,35,56,28,41,39,45,48,51,99,124,103,85,96,102,147,133,110,75,83,125,106,22,24,27,20,23,42,55,46,46,43,55,69,66,50,37,44,79,72,19,15,18,28,28,57,69,57,39,53,47,78,67,60,38,39,46,34,49,35,41,55,47,81,126,101,89,88,103,143,138,117,86,78,105,113,22,23,25,24,21,33,57,38,50,37,60,69,64,55,41,42,67,77,27,12,16,31,26,48,69,63,39,51,43,74,74,62,45,36,38,36,44,38,39,57,50,74,115,112,90,88,102,134,133,133,92,66,88,134,20,22,24,29,20,32,53,39,45,43,53,67,61,65,46,35,56,91,24,16,15,28,30,42,62,73,45,45,49,67,72,68,46,31,32,43,49,44,41,51,48,64,111,114,96,80,94,140,135,142,94,64,85,133,23,23,25,28,17,29,44,46,49,40,41,77,62,67,47,37,51,90,26,21,16,23,31,35,67,68,47,40,53,63,73,75,47,27,34,43,54,38,41,48,54,52,99,114,97,85,96,122,133,150,94,67,73,127,26,17,24,27,21,24,36,47,50,43,42,66,63,72,46,37,43,86,28,21,17,21,33,28,63,67,47,42,54,56,70,78,48,30,30,41,45,42,42,42,50,54,90,103,106,83,97,110,140,132,109,69,65,125,25,17,27,25,21,24,33,43,50,43,42,61,66,64,53,37,38,89,20,25,15,17,29,30,57,60,56,40,55,49,74,68,56,32,27,36,35,49,42,41,57,51,72,108,108,92,91,105,142,134,113,80,67,120,20,20,27,22,26,22,29,46,47,49,38,60,67,61,59,40,37,89,15,29,15,19,31,29,43,62,61,43,53,45,75,73,54,40,30,31,33,52,42,41,54,55,62,97,116,96,89,107,139,128,120,89,61,113,18,23,23,23,28,21,26,44,48,48,41,56,69,58,60,48,32,85,15,29,19,18,26,34,36,53,68,48,48,51,70,70,60,41,29,28,30,58,45,40,48,50,60,95,120,101,90,97,140,133,130,84,59,115,16,28,25,24,26,17,27,40,56,52,43,46,76,59,64,45,35,86,14,30,20,16,22,33,33,55,64,49,47,51,64,74,66,39,24,29,105,110,140,139,137,160,190,163,127,105,101,77,85,82,60,46,31,18,51,62,63,71,62,79,99,82,54,57,47,40,42,39,34,23,22,12,54,49,78,68,76,81,91,81,73,48,54,37,43,43,26,23,9,6,103,122,117,129,143,141,188,177,122,113,95,75,90,88,56,55,34,18,50,61,55,62,65,72,93,90,54,56,51,38,43,45,27,30,21,13,53,61,62,67,78,69,95,87,68,57,44,37,47,43,29,25,13,5,100,123,117,132,157,157,186,194,140,117,102,89,104,84,70,56,37,18,45,63,59,64,75,76,90,99,67,58,53,44,52,40,37,28,24,13,55,60,58,68,81,80,96,95,73,59,49,44,53,43,33,28,13,4,96,119,116,138,160,150,192,197,153,124,111,97,89,91,70,58,37,21,44,62,60,64,81,73,93,103,73,59,58,47,44,47,36,31,20,19,52,57,56,74,79,77,99,94,80,65,53,50,45,44,34,27,17,2,98,104,118,137,170,157,194,197,169,135,110,97,86,99,82,58,37,25,47,53,67,61,87,76,91,106,76,64,60,43,46,49,41,35,19,21,51,51,51,76,83,81,103,91,93,71,50,54,40,50,41,23,18,4,100,114,118,136,153,187,186,219,176,140,121,94,88,92,89,51,43,28,48,59,67,62,78,90,88,116,83,64,60,46,47,47,42,31,23,23,52,55,51,74,75,97,98,103,93,76,61,48,41,45,47,20,20,5,101,115,121,125,144,205,199,215,188,144,126,97,74,102,97,52,46,31,41,60,65,59,75,105,97,103,92,69,57,51,40,49,52,30,26,23,60,55,56,66,69,100,102,112,96,75,69,46,34,53,45,22,20,8,111,102,120,117,141,202,221,202,196,146,133,103,86,106,87,67,46,32,44,45,63,60,71,94,111,92,96,74,61,51,43,55,47,39,27,23,67,57,57,57,70,108,110,110,100,72,72,52,43,51,40,28,19,9,121,102,116,110,154,219,217,227,204,167,138,119,100,99,97,66,46,35,44,42,62,62,72,103,108,104,99,78,65,62,50,47,53,37,29,23,77,60,54,48,82,116,109,123,105,89,73,57,50,52,44,29,17,12,109,103,104,116,137,210,208,223,199,175,143,116,103,87,101,74,46,38,35,43,52,72,59,107,107,98,99,81,66,62,48,46,51,41,32,25,74,60,52,44,78,103,101,125,100,94,77,54,55,41,50,33,14,13,131,107,108,115,152,197,231,218,225,191,149,121,108,97,98,82,51,44,49,45,53,67,75,105,115,99,111,93,70,56,54,55,52,40,33,29,82,62,55,48,77,92,116,119,114,98,79,65,54,42,46,42,18,15,141,105,111,129,151,207,263,247,217,199,154,132,108,96,104,96,49,46,64,43,57,69,73,107,132,119,96,99,75,62,56,53,52,53,27,32,77,62,54,60,78,100,131,128,121,100,79,70,52,43,52,43,22,14,176,122,103,126,142,215,259,258,213,203,165,144,112,101,107,83,61,45,84,52,43,70,75,109,129,129,100,101,79,69,57,53,54,47,35,30,92,70,60,56,67,106,130,129,113,102,86,75,55,48,53,36,26,15,171,124,101,135,135,194,256,240,213,208,172,144,122,100,92,94,64,48,79,57,38,72,74,91,132,120,97,101,84,70,64,52,47,52,36,31,92,67,63,63,61,103,124,120,116,107,88,74,58,48,45,42,28,17,153,136,104,121,137,188,253,251,231,203,178,149,123,110,83,102,67,56,74,60,41,59,83,86,129,127,107,94,88,73,69,51,51,50,39,37,79,76,63,62,54,102,124,124,124,109,90,76,54,59,32,52,28,19,154,137,107,126,127,192,233,258,230,213,182,147,132,111,85,89,74,56,68,69,48,59,75,98,122,122,108,104,91,71,66,55,52,45,42,39,86,68,59,67,52,94,111,136,122,109,91,76,66,56,33,44,32,17,132,147,106,110,128,165,224,243,225,198,187,146,144,114,88,95,73,55,54,74,46,56,70,81,118,117,114,89,94,71,72,59,52,48,42,38,78,73,60,54,58,84,106,126,111,109,93,75,72,55,36,47,31,17,97,161,116,97,118,145,196,250,226,200,201,155,143,124,93,98,61,70,38,75,55,43,66,81,100,124,106,94,99,73,72,64,50,49,36,47,59,86,61,54,52,64,96,126,120,106,102,82,71,60,43,49,25,23,89,148,129,104,121,136,189,255,219,226,203,170,145,127,102,79,71,74,37,71,62,41,68,79,93,129,108,104,97,80,72,63,56,43,41,50,52,77,67,63,53,57,96,126,111,122,106,90,73,64,46,36,30,24,83,140,142,111,113,128,181,235,221,228,198,181,140,126,108,72,80,75,32,70,64,48,65,73,91,125,105,107,95,87,64,70,54,44,45,51,51,70,78,63,48,55,90,110,116,121,103,94,76,56,54,28,35,24,80,134,142,110,120,123,168,225,224,226,215,176,147,134,107,78,66,78,30,58,67,47,66,65,89,119,107,104,110,86,65,70,58,47,40,51,50,76,75,63,54,58,79,106,117,122,105,90,82,64,49,31,26,27,80,122,146,108,116,135,142,212,234,220,207,190,143,147,102,86,69,80,37,55,69,48,58,72,74,104,116,110,97,95,66,72,53,51,41,53,43,67,77,60,58,63,68,108,118,110,110,95,77,75,49,35,28,27,84,93,160,125,101,123,148,203,240,223,215,208,152,136,111,88,67,79,46,40,68,59,45,72,69,104,123,104,104,110,67,72,56,51,39,53,38,53,92,66,56,51,79,99,117,119,111,98,85,64,55,37,28,26,84,89,149,137,104,119,151,181,252,213,223,212,177,143,121,85,60,88,40,40,64,67,44,65,79,87,130,98,109,108,88,70,61,51,37,58,44,49,85,70,60,54,72,94,122,115,114,104,89,73,60,34,23,30,95,87,145,140,122,122,150,202,243,212,223,219,198,149,115,87,59,82,47,36,71,63,54,70,79,96,123,106,104,109,100,66,63,48,40,54,48,51,74,77,68,52,71,106,120,106,119,110,98,83,52,39,19,28,87,77,137,144,128,130,134,178,233,230,226,240,199,165,123,90,66,77,43,34,62,66,59,72,70,90,119,110,103,125,101,72,63,52,43,48,44,43,75,78,69,58,64,88,114,120,123,115,98,93,60,38,23,29,61,69,91,97,123,146,163,100,87,72,109,81,140,113,98,55,45,46,24,35,47,45,60,71,76,43,46,38,57,42,65,58,54,35,27,25,37,34,44,52,63,75,87,57,41,34,52,39,75,55,44,20,18,21,36,72,72,93,118,124,150,119,83,74,106,90,113,125,92,66,47,55,13,36,33,53,53,64,70,52,41,38,59,40,62,58,51,39,27,33,23,36,39,40,65,60,80,67,42,36,47,50,51,67,41,27,20,22,49,60,75,90,116,124,145,142,75,76,96,95,110,122,100,69,39,49,25,27,35,49,49,64,75,58,38,39,51,46,57,56,58,41,19,34,25,33,41,41,67,60,70,84,37,38,45,49,53,66,42,28,20,15,54,55,71,90,113,123,135,146,96,71,88,102,97,131,100,75,37,49,29,24,33,45,54,61,65,70,46,36,52,46,50,60,58,47,21,32,25,31,38,45,59,62,70,76,50,35,36,56,47,71,42,28,16,17,58,57,66,98,104,133,144,160,103,92,77,119,87,139,100,77,39,49,32,22,33,50,51,66,65,78,46,45,46,58,46,66,53,46,26,31,26,35,33,48,53,67,79,82,57,47,31,61,41,73,47,31,13,18,73,58,73,86,99,135,148,166,120,98,83,116,90,130,109,81,36,49,36,20,39,43,50,70,73,75,51,50,43,63,43,65,53,49,24,32,37,38,34,43,49,65,75,91,69,48,40,53,47,65,56,32,12,17,70,58,72,75,105,135,138,154,134,90,85,113,93,108,113,75,48,44,33,23,37,32,58,65,67,73,57,49,41,63,43,59,51,43,29,30,37,35,35,43,47,70,71,81,77,41,44,50,50,49,62,32,19,14,68,61,68,72,104,135,132,149,161,87,85,100,95,102,120,79,49,40,31,30,32,30,53,63,68,80,65,49,41,53,47,57,53,48,30,27,37,31,36,42,51,72,64,69,96,38,44,47,48,45,67,31,19,13,59,62,69,70,103,116,135,133,171,112,89,92,106,89,127,80,49,36,22,34,33,29,47,55,67,65,81,55,43,56,48,46,58,46,33,25,37,28,36,41,56,61,68,68,90,57,46,36,58,43,69,34,16,11,56,65,63,66,101,107,126,144,159,115,97,82,113,84,133,77,53,38,19,34,28,30,47,52,66,66,77,53,46,49,55,46,61,40,35,28,37,31,35,36,54,55,60,78,82,62,51,33,58,38,72,37,18,10,59,69,59,70,93,124,134,144,161,119,102,85,113,86,121,88,58,34,25,33,21,39,45,58,69,66,76,49,51,43,63,44,62,42,38,25,34,36,38,31,48,66,65,78,85,70,51,42,50,42,59,46,20,9,56,76,60,70,89,132,143,146,160,146,99,87,110,95,104,97,55,41,24,38,26,36,39,68,69,67,77,62,52,44,63,45,59,43,33,28,32,38,34,34,50,64,74,79,83,84,47,43,47,50,45,54,22,13,62,72,63,68,82,128,141,160,162,171,103,87,99,97,103,106,57,42,25,36,28,33,35,61,62,80,82,71,56,43,52,50,60,43,36,27,37,36,35,35,47,67,79,80,80,100,47,44,47,47,43,63,21,15,68,72,65,75,70,131,151,158,155,172,122,93,90,108,84,113,61,45,31,36,35,37,29,59,70,75,74,81,57,46,54,51,48,51,35,33,37,36,30,38,41,72,81,83,81,91,65,47,36,57,36,62,26,12,76,71,72,66,68,128,169,149,169,179,129,106,84,109,76,121,59,47,33,34,39,31,31,59,76,68,82,87,59,49,50,56,44,56,33,33,43,37,33,35,37,69,93,81,87,92,70,57,34,53,32,65,26,14,81,76,74,64,75,116,170,167,171,181,143,109,83,104,81,111,70,53,34,35,40,23,42,56,80,74,85,89,61,55,42,60,40,58,35,37,47,41,34,41,33,60,90,93,86,92,82,54,41,44,41,53,35,16,96,81,81,64,84,115,172,194,169,176,170,107,84,106,89,101,75,56,43,39,42,28,40,55,83,82,84,87,75,53,43,62,42,59,34,35,53,42,39,36,44,60,89,112,85,89,95,54,41,44,47,42,41,21,92,81,81,64,76,105,158,195,163,171,186,114,85,97,85,99,84,61,44,36,42,31,37,48,76,81,86,89,82,57,44,53,45,59,36,41,48,45,39,33,39,57,82,114,77,82,104,57,41,44,40,40,48,20,101,91,75,65,81,100,159,189,173,159,184,133,87,85,99,78,94,64,44,44,37,35,38,47,75,88,81,77,90,62,44,52,47,47,45,42,57,47,38,30,43,53,84,101,92,82,94,71,43,33,52,31,49,22,102,94,80,69,71,95,160,190,165,173,183,140,110,78,104,75,101,70,45,45,36,38,30,43,80,82,74,88,90,61,55,44,54,44,50,45,57,49,44,31,41,52,80,108,91,85,93,79,55,34,50,31,51,25,100,98,81,74,76,93,152,187,185,177,181,142,116,83,94,77,98,69,49,46,39,39,29,45,80,85,81,88,90,59,60,42,56,40,54,42,51,52,42,35,47,48,72,102,104,89,91,83,56,41,38,37,44,27,102,113,81,79,67,103,133,185,199,179,174,168,107,83,95,80,87,73,52,49,40,41,25,47,69,94,83,89,83,78,53,43,58,39,53,44,50,64,41,38,42,56,64,91,116,90,91,90,54,40,37,41,34,29,98,112,90,86,69,97,133,178,211,176,175,182,113,81,87,80,86,88,54,48,40,46,32,46,66,91,86,86,93,81,60,40,48,43,54,50,44,64,50,40,37,51,67,87,125,90,82,101,53,41,39,37,32,38,90,112,101,71,73,92,129,172,206,187,166,188,139,87,79,85,69,96,48,43,50,36,39,41,60,91,89,80,85,96,67,42,47,41,44,56,42,69,51,35,34,51,69,81,117,107,81,92,72,45,32,44,25,40,93,113,107,73,81,91,128,178,200,182,177,190,136,100,67,84,62,106,49,50,52,33,46,45,59,93,86,75,92,99,58,50,38,46,40,61,44,63,55,40,35,46,69,85,114,107,85,91,78,50,29,38,22,45,98,112,114,76,85,84,129,173,193,197,185,193,143,107,72,78,64,104,49,55,50,39,46,35,66,89,90,84,95,97,63,56,35,46,37,63,49,57,64,37,39,49,63,84,103,113,90,96,80,51,37,32,27,41,1,4,6,15,18,21,22,14,8,14,18,20,21,30,32,22,11,21,0,1,3,9,11,7,5,5,5,3,9,10,10,13,20,14,5,17,1,3,3,6,7,14,17,9,3,11,9,10,11,17,12,8,6,4,2,3,3,8,23,19,24,13,12,8,19,18,23,25,31,24,9,23,null,null,2,5,14,9,5,3,6,2,9,9,11,12,14,18,4,18,2,3,1,3,9,10,19,10,6,6,10,9,12,13,17,6,5,5,1,2,4,6,17,19,26,19,10,7,20,15,25,27,28,25,13,19,null,null,2,5,11,10,8,4,5,3,9,8,11,14,12,16,7,16,1,2,2,1,6,9,17,15,5,4,11,7,13,12,15,8,6,3,2,2,2,6,19,23,27,17,13,7,15,20,22,23,27,24,15,20,null,null,1,4,11,11,12,3,4,4,5,12,8,13,12,15,10,17,2,2,1,2,8,12,15,14,9,3,10,8,14,10,15,9,5,3,1,2,4,6,16,20,21,26,19,7,17,21,20,25,32,26,16,18,1,null,1,3,9,12,8,7,8,2,7,10,8,12,13,17,11,16,null,2,3,3,7,8,13,19,11,5,10,11,12,13,19,9,5,2,4,2,3,7,14,20,28,29,20,8,22,20,26,27,31,28,16,19,3,0,0,4,8,13,13,8,10,3,8,11,9,12,14,20,11,16,1,2,3,3,6,7,15,21,10,5,14,9,17,15,17,8,5,3,8,4,4,6,13,25,26,33,21,16,17,33,20,30,33,28,19,20,3,2,0,3,6,14,14,12,8,8,7,14,9,14,15,17,14,16,5,2,4,3,7,11,12,21,13,8,10,19,11,16,18,11,5,4,12,4,3,6,21,23,21,33,37,17,14,36,22,31,34,25,19,17,4,2,0,2,12,14,10,12,15,8,7,16,11,14,18,14,13,12,8,2,3,4,9,9,11,21,22,9,7,20,11,17,16,11,6,5,13,4,3,3,21,25,20,36,34,24,13,28,29,26,29,27,22,17,5,2,0,1,12,15,11,13,13,11,6,11,16,11,17,14,14,12,8,2,3,2,9,10,9,23,21,13,7,17,13,15,12,13,8,5,13,5,2,6,21,26,19,38,37,26,11,31,28,24,25,33,19,16,6,2,0,2,11,17,14,14,14,13,5,15,13,11,14,17,11,12,7,3,2,4,10,9,5,24,23,13,6,16,15,13,11,16,8,4,12,7,3,5,19,23,18,33,44,18,15,23,27,26,30,33,20,16,6,3,0,0,9,16,13,13,16,9,9,11,15,10,15,15,15,10,6,4,3,5,10,7,5,20,28,9,6,12,12,16,15,18,5,6,9,9,3,5,17,19,25,24,45,21,15,19,32,21,29,34,20,18,7,3,1,0,9,13,17,11,16,7,7,10,15,9,15,17,12,11,2,6,2,5,8,6,8,13,29,14,8,9,17,12,14,17,8,7,7,10,3,4,16,20,22,19,42,32,15,15,38,20,29,32,22,21,5,4,1,0,9,14,14,9,16,11,8,9,18,9,14,18,11,15,2,6,2,4,7,6,8,10,26,21,7,6,20,11,15,14,11,6,5,11,4,3,10,19,24,17,42,31,22,13,33,29,23,32,26,22,1,5,2,0,5,10,15,8,18,9,10,9,14,15,8,19,13,14,4,6,2,3,5,9,9,9,24,22,12,4,19,14,15,13,13,8,5,12,4,3,12,16,21,23,35,38,25,9,35,29,25,30,33,18,0,5,3,1,5,7,12,13,13,13,11,5,18,13,11,17,17,11,5,7,1,2,7,9,9,10,22,25,14,4,17,16,14,13,16,7,6,10,5,4,11,16,17,23,32,39,24,12,32,29,26,31,30,20,2,5,3,2,3,8,9,14,13,12,12,7,15,16,10,18,14,14,4,5,2,2,8,8,8,9,19,27,12,5,17,13,16,13,16,6,8,6,8,1,9,16,18,23,25,43,25,15,24,34,22,28,29,19,1,4,3,1,1,9,9,13,10,14,10,6,12,16,10,17,15,12,7,2,5,0,8,7,9,10,15,29,15,9,12,18,12,11,14,7,10,4,13,1,9,11,23,19,21,39,35,16,18,36,19,31,27,25,2,4,6,0,2,6,14,10,8,13,13,7,8,18,11,16,15,14,8,0,7,1,7,5,9,9,13,26,22,9,10,18,8,15,12,11,9,4,12,5,8,11,22,19,23,35,33,25,16,30,25,24,25,25,2,2,5,3,2,4,11,11,8,14,9,11,8,14,15,11,16,14,7,2,7,2,6,7,11,8,15,21,24,14,8,16,10,13,9,11,7,4,12,5,8,13,19,20,23,31,36,30,10,30,28,23,26,24,2,1,6,3,3,5,8,10,10,11,12,13,4,15,13,11,15,14,5,3,6,2,5,8,11,10,13,20,24,17,6,15,15,12,11,10,4,6,11,3,7,11,20,20,19,31,35,27,11,26,28,23,26,24,2,2,6,1,3,3,9,9,10,10,10,13,6,11,14,10,16,15,2,4,5,2,4,8,11,11,9,21,25,14,5,15,14,13,10,9,4,5,6,7,4,10,15,19,23,25,36,27,16,23,35,18,22,26,3,1,5,2,2,1,7,8,12,9,10,12,7,12,15,9,13,17,1,4,1,5,2,9,8,11,11,16,26,15,9,11,20,9,9,9,4,6,5,4,8,10,11,24,17,21,35,35,18,17,36,19,20,29,3,2,4,1,1,2,5,12,10,8,11,16,7,9,16,10,11,19,1,4,1,3,7,8,6,12,7,13,24,19,11,8,20,9,9,10,5,5,3,7,8,8,11,22,22,21,34,32,26,15,31,24,15,30,4,2,1,4,1,3,4,9,13,8,14,11,12,8,13,13,7,20,1,3,2,3,7,5,7,13,9,13,20,21,14,7,18,11,8,10,5,4,2,3,8,9,12,21,23,18,34,34,32,9,31,28,15,30,4,2,0,2,3,3,4,8,11,10,14,12,13,5,16,12,7,22,1,2,2,1,5,6,8,13,12,8,20,22,19,4,15,16,8,8,5,4,4,2,10,9,11,14,25,19,34,35,28,12,29,28,20,28,3,2,1,0,6,3,5,5,12,11,17,9,13,7,13,13,8,21,2,2,3,2,4,6,6,9,13,8,17,26,15,5,16,15,12,7,7,14,7,15,22,19,32,16,30,25,26,22,41,42,43,26,20,14,4,7,3,3,9,6,14,5,12,11,15,7,21,21,19,19,10,9,3,7,4,12,12,13,17,11,17,13,10,14,20,21,25,7,9,5,3,9,17,10,17,23,18,25,24,23,25,21,36,38,43,31,22,18,1,6,8,3,6,7,9,10,10,11,13,10,17,21,15,19,15,10,2,3,9,7,11,16,9,15,14,12,12,11,19,17,28,12,7,8,3,10,14,13,15,24,14,29,26,25,17,24,32,39,43,37,20,18,2,6,5,6,3,11,5,11,8,13,8,13,14,21,17,19,14,10,1,4,9,7,12,13,9,17,17,12,9,11,17,17,26,17,6,8,5,9,14,8,18,22,17,32,19,29,20,23,25,39,41,34,25,22,3,4,5,4,3,10,4,14,7,12,11,12,12,18,20,16,18,13,2,5,9,4,15,12,13,18,12,17,9,11,13,21,21,18,7,9,7,7,12,9,19,20,19,29,20,27,20,26,19,41,39,34,21,25,4,3,6,4,3,9,4,12,5,12,9,15,6,20,21,16,16,15,3,4,6,5,16,11,15,17,15,15,11,11,13,21,18,18,5,10,5,8,11,10,15,21,24,24,20,28,24,22,20,41,31,38,23,29,3,3,8,3,3,7,8,10,5,11,10,14,7,22,16,14,16,20,2,5,3,7,12,14,16,14,15,17,14,8,13,19,15,24,7,9,7,4,12,13,9,16,23,17,27,22,25,21,24,36,33,34,26,24,3,1,7,6,2,6,6,8,9,9,9,11,11,18,18,13,16,17,4,3,5,7,7,10,17,9,18,13,16,10,13,18,15,21,10,7,5,8,12,12,13,18,20,15,31,24,27,18,26,34,32,36,29,24,2,3,5,4,5,6,6,7,13,7,12,7,13,16,18,16,16,17,3,5,7,8,8,12,14,8,18,17,15,11,13,18,14,20,13,7,7,9,10,12,6,21,16,16,34,19,25,22,25,29,30,32,27,31,3,4,3,5,1,7,4,5,16,6,10,9,13,12,15,17,14,23,4,5,7,7,5,14,12,11,18,13,15,13,12,17,15,15,13,8,7,8,7,11,6,18,21,16,27,19,27,21,29,22,37,31,25,28,2,4,3,5,1,4,8,4,12,5,12,7,16,7,19,18,14,19,5,4,4,6,5,14,13,12,15,14,15,14,13,15,18,13,11,9,7,6,7,9,9,15,23,18,22,20,28,23,23,20,37,23,26,30,2,4,2,6,2,4,8,5,9,4,11,9,11,9,19,10,14,21,5,2,5,3,7,11,15,13,13,16,17,14,12,11,18,13,12,9,6,8,8,10,12,11,22,18,15,29,22,26,22,23,34,24,26,28,2,4,3,6,4,3,10,4,4,9,9,10,10,11,14,14,12,20,4,4,5,4,8,8,12,14,11,20,13,16,12,12,20,10,14,8,11,10,7,14,12,9,20,20,16,30,24,26,16,25,30,29,24,26,5,5,3,6,3,4,8,7,6,8,7,11,7,12,13,16,11,18,6,5,4,8,9,5,12,13,10,22,17,15,9,13,17,13,13,8,12,11,8,13,9,7,26,18,16,33,18,27,22,24,27,24,20,30,7,4,4,5,3,2,11,7,4,11,4,11,9,12,11,10,10,23,5,7,4,8,6,5,15,11,12,22,14,16,13,12,16,14,10,7,15,11,10,12,9,9,20,24,20,29,18,28,20,29,17,31,22,24,6,6,4,4,5,3,8,13,3,10,4,12,7,16,5,14,11,18,9,5,6,8,4,6,12,11,17,19,14,16,13,13,12,17,11,6,17,9,6,10,9,13,17,26,19,23,21,29,23,24,20,30,18,26,8,4,3,3,6,4,8,14,2,8,5,11,9,12,9,15,8,17,9,5,3,7,3,9,9,12,17,15,16,18,14,12,11,15,10,9,17,8,5,8,9,15,14,23,22,15,29,24,26,21,22,27,15,24,9,3,2,3,4,5,8,12,4,4,6,10,10,10,11,12,9,14,8,5,3,5,5,10,6,11,18,11,23,14,16,11,11,15,6,10,16,12,5,5,12,15,12,24,24,13,32,24,27,15,24,24,22,20,10,6,2,3,5,5,7,10,8,5,6,7,11,7,13,11,12,11,6,6,3,2,7,10,5,14,16,8,26,17,16,8,11,13,10,9,13,12,8,6,12,12,9,26,21,16,31,19,26,20,20,21,21,19,8,8,2,3,4,4,5,10,10,3,8,4,11,9,10,10,9,14,5,4,6,3,8,8,4,16,11,13,23,15,15,11,10,11,12,5,10,14,9,5,11,10,9,24,24,20,27,19,28,17,26,16,26,16,7,8,3,3,4,4,4,8,12,4,8,4,12,6,15,5,12,11,3,6,6,2,7,6,5,16,12,16,19,15,16,11,11,11,14,5,6,18,9,5,9,8,10,20,20,23,21,20,27,21,20,20,23,18,5,11,3,3,3,6,2,9,8,7,6,5,11,8,10,9,12,11,1,7,6,2,6,2,8,11,12,16,15,15,16,13,10,11,11,7,4,15,8,4,7,8,12,13,21,24,13,29,23,23,18,22,23,18,3,10,5,1,3,5,4,6,9,6,3,5,10,9,9,10,11,11,1,5,3,3,4,3,8,7,12,18,10,24,13,14,9,12,12,7,6,12,11,5,5,13,12,9,22,26,11,30,27,25,14,23,20,21,4,9,6,2,2,7,4,5,8,10,4,5,10,10,7,11,8,11,2,3,5,3,3,6,8,4,14,16,7,25,17,15,7,12,12,10,4,14,11,6,8,10,11,7,25,22,18,32,21,27,20,21,16,22,3,8,8,1,5,4,5,4,9,9,5,9,6,11,10,11,8,10,1,6,3,5,3,6,6,3,16,13,13,23,15,16,10,10,8,12,4,10,15,8,7,9,10,8,23,23,25,28,21,29,20,22,12,20,3,7,8,2,4,4,5,3,10,10,8,8,5,13,8,13,3,9,1,3,7,6,3,5,5,5,13,13,17,20,16,16,12,9,9,11,3,7,18,8,6,7,8,11,18,21,32,22,23,28,22,18,14,21,2,5,11,2,4,3,6,3,9,9,11,6,5,12,9,10,6,8,1,2,7,6,2,4,2,8,9,12,21,16,18,16,13,8,8,13,6,0,6,7,5,6,6,8,7,9,3,5,9,6,10,6,3,4,4,0,5,4,2,4,3,3,4,2,0,4,5,2,5,5,1,3,2,0,1,3,3,2,3,5,3,7,3,1,4,4,5,1,2,1,5,1,3,8,4,8,4,8,6,7,7,4,9,7,8,5,4,2,3,1,2,7,1,4,3,2,4,2,1,2,5,4,3,5,1,1,2,null,1,1,3,4,1,6,2,5,6,2,4,3,5,null,3,1,5,2,2,7,5,7,2,7,7,7,6,3,7,6,10,6,3,1,2,2,2,5,2,3,2,3,4,2,null,1,5,2,5,5,1,null,3,null,null,2,3,4,null,4,3,5,6,2,2,4,5,1,2,1,6,2,1,7,6,6,4,7,6,9,6,2,7,7,6,6,4,3,2,2,1,5,3,3,3,3,3,4,null,1,5,2,3,4,3,1,4,null,null,2,3,3,1,4,3,5,6,1,2,5,3,2,1,2,4,4,null,5,6,5,6,9,4,8,7,3,5,8,7,6,5,2,1,3,null,4,3,2,5,4,1,4,1,null,4,4,2,4,4,null,3,1,null,1,3,3,1,5,3,4,6,3,1,4,5,2,1,2,1,4,0,4,2,4,7,7,6,5,9,3,4,9,5,7,5,4,0,3,0,3,1,1,4,3,2,3,2,0,2,6,2,3,4,2,1,1,0,1,1,3,3,4,4,2,7,3,2,3,3,4,1,2,1,4,0,3,4,3,6,5,7,4,8,5,4,6,7,5,3,3,0,3,0,2,3,1,2,3,2,3,2,0,2,3,4,2,3,1,1,1,0,1,1,2,4,2,5,1,6,5,2,3,3,3,0,2,3,3,1,2,4,2,8,3,10,3,7,7,3,6,7,8,3,2,0,2,1,2,2,1,4,2,4,2,1,0,1,4,3,4,2,1,3,1,0,0,2,1,4,1,6,1,6,7,2,2,4,4,1,1,3,2,1,1,5,2,5,6,8,2,9,6,2,6,8,6,5,2,0,2,1,1,3,1,2,4,3,1,3,0,1,4,3,3,3,1,3,0,0,0,2,1,3,2,5,1,6,6,1,2,5,3,2,1,2,2,2,0,4,5,4,6,7,3,7,6,2,4,9,7,5,4,0,1,2,0,3,3,2,4,3,1,3,0,0,3,5,2,3,2,2,1,0,0,1,2,2,2,4,2,4,6,2,1,4,5,2,2,1,2,3,0,3,2,3,7,7,4,5,7,2,4,9,6,4,6,0,0,3,0,2,2,1,4,3,1,2,1,0,2,5,3,2,5,1,2,0,0,1,0,2,3,4,3,3,6,2,2,4,3,2,1,1,2,3,0,3,0,2,7,6,6,4,5,4,3,8,7,4,4,0,0,3,0,2,0,0,4,4,1,2,0,0,2,4,4,2,4,1,2,0,0,1,0,2,3,2,5,2,5,4,1,4,3,2,0,0,2,0,2,2,1,1,7,3,6,4,5,5,2,6,9,6,3,0,0,0,1,2,0,0,3,1,2,2,0,0,1,4,5,3,3,0,2,0,1,0,1,1,4,2,4,2,5,5,1,2,4,3,0,2,4,2,1,2,2,3,5,7,6,2,7,5,2,5,9,5,3,1,0,1,1,1,1,2,1,4,2,0,2,1,1,4,4,3,3,1,4,1,0,1,1,1,4,3,4,2,5,4,1,1,5,2,0,2,3,3,1,1,3,2,6,8,8,4,10,9,3,6,10,6,4,1,0,1,1,0,2,1,2,4,5,0,6,3,2,4,6,2,4,1,3,2,0,1,1,1,4,4,3,4,4,6,1,2,4,4,0,0,1,1,1,1,3,0,4,10,5,5,8,7,2,3,9,6,5,0,0,0,1,0,2,0,1,4,2,1,4,2,1,2,5,4,4,0,1,1,0,1,1,0,3,6,3,4,4,5,1,1,4,2,1,1,1,1,1,1,3,0,3,10,5,6,5,8,3,3,8,7,5,1,0,0,1,0,2,0,2,3,3,1,3,1,1,2,4,5,4,0,1,1,0,1,1,0,1,7,2,5,2,7,2,1,4,2,1,1,0,2,0,3,2,2,2,10,4,8,5,9,5,2,6,7,6,1,0,0,0,1,2,0,1,3,3,3,3,1,2,1,4,4,4,0,0,2,0,2,0,2,1,7,1,5,2,8,3,1,2,3,2,1,0,2,0,1,3,3,2,8,5,9,3,11,6,1,6,6,6,1,0,0,0,1,1,1,1,2,3,4,1,3,2,1,4,2,4,0,0,2,0,0,2,2,1,6,2,5,2,8,4,0,2,4,2,1,0,2,0,1,2,2,2,7,7,8,3,11,7,0,4,8,6,1,0,0,0,1,0,0,0,3,3,4,0,4,2,0,3,4,3,0,0,2,0,0,2,2,2,4,4,4,3,7,5,0,1,4,3,1,0,1,2,1,2,1,1,5,10,6,5,10,6,1,3,7,6,1,0,0,0,1,0,0,0,2,4,3,1,3,2,0,2,3,4,0,0,1,2,0,2,1,1,3,6,3,4,7,4,1,1,4,2,0,1,1,4,1,2,2,1,4,10,5,6,6,7,3,3,6,6,0,1,0,0,1,0,1,0,2,3,3,1,3,1,1,2,2,4,0,0,1,4,0,2,1,1,2,7,2,5,3,6,2,1,4,2,0,1,0,6,4,3,1,2,4,10,4,10,7,7,6,1,5,7,0,1,0,0,3,1,1,0,1,3,3,3,3,1,3,1,3,4,0,0,0,6,1,2,0,2,3,7,1,7,4,6,3,0,2,3,1,1,0,5,2,3,4,2,4,8,6,11,5,9,5,1,4,8,1,1,0,0,2,1,1,0,1,2,4,4,1,3,3,1,3,5,0,0,0,5,0,2,3,2,3,6,2,7,4,6,2,0,1,3,1,1,0,3,4,2,6,2,2,8,7,11,6,10,5,1,2,11,1,1,0,0,2,1,1,0,0,3,3,4,1,4,3,0,2,7,0,0,0,3,2,1,5,2,2,5,4,7,5,6,2,1,0,4,1,1,0,2,4,3,5,2,1,6,11,10,6,9,5,2,2,9,1,1,0,0,0,2,1,0,0,2,5,4,2,3,3,0,2,6,0,0,0,2,4,1,4,2,1,4,6,6,4,6,2,2,0,3,444,532,675,857,801,898,885,911,766,664,552,433,584,556,451,329,224,173,226,272,340,393,404,426,438,460,356,329,274,211,286,297,249,188,139,116,218,261,336,465,398,473,448,452,411,336,279,222,299,260,202,141,85,57,407,537,641,848,843,888,974,942,867,686,609,440,576,558,474,348,242,195,202,277,315,403,434,417,496,482,414,329,296,219,284,284,264,192,155,122,205,260,326,445,409,471,478,460,453,357,313,221,292,274,210,156,87,73,448,519,622,800,847,893,946,970,908,706,638,476,540,572,485,354,237,218,224,267,314,380,421,452,460,489,434,340,319,236,269,284,273,197,147,143,224,252,309,420,427,441,487,482,475,366,320,240,271,288,212,156,91,75,530,518,644,806,886,961,1139,1006,974,787,665,558,484,574,501,372,234,223,259,274,323,394,428,485,567,490,480,373,337,273,236,280,277,218,141,146,271,244,321,412,458,476,572,516,494,414,328,285,248,294,224,154,93,77,586,546,664,790,969,1014,1179,1099,1070,852,727,576,477,581,521,386,259,221,272,283,333,401,450,513,588,539,524,397,357,290,229,290,279,224,155,145,314,263,331,389,519,501,591,560,546,455,370,286,248,291,242,162,104,76,648,605,667,765,1035,1081,1302,1257,1165,951,779,622,471,594,536,423,263,225,311,310,337,393,489,542,624,629,570,448,378,307,227,303,289,243,155,153,337,295,330,372,546,539,678,628,595,503,401,315,244,291,247,180,108,72,832,626,666,780,1014,1147,1429,1380,1216,1047,844,691,498,586,542,429,270,227,404,314,343,385,488,582,680,692,605,496,411,336,245,299,275,248,160,154,428,312,323,395,526,565,749,688,611,551,433,355,253,287,267,181,110,73,872,679,684,771,988,1223,1428,1454,1336,1130,889,786,534,562,557,446,275,235,423,340,346,388,483,606,704,703,649,546,432,385,257,291,280,256,167,156,449,339,338,383,505,617,724,751,687,584,457,401,277,271,277,190,108,79,951,762,697,777,1017,1286,1542,1613,1379,1233,963,818,620,520,563,472,290,245,461,368,355,390,506,611,772,773,652,608,450,411,297,266,284,275,176,162,490,394,342,387,511,675,770,840,727,625,513,407,323,254,279,197,114,83,1092,829,736,786,974,1382,1616,1710,1482,1329,1008,862,654,509,568,489,302,250,553,396,372,388,498,655,819,806,707,640,483,420,320,251,291,274,181,168,539,433,364,398,476,727,797,904,775,689,525,442,334,258,277,215,121,82,1251,917,791,804,967,1494,1737,1831,1620,1405,1090,897,723,501,592,487,320,254,631,442,390,391,494,719,900,837,764,676,528,444,348,244,307,272,193,177,620,475,401,413,473,775,837,994,856,729,562,453,375,257,285,215,127,77,1378,1086,786,820,972,1576,1950,1996,1762,1448,1195,971,790,510,570,508,344,272,688,539,373,396,480,794,983,929,818,688,585,479,375,258,302,266,220,186,690,547,413,424,492,782,967,1067,944,760,610,492,415,252,268,242,124,86,1469,1205,861,824,996,1578,2157,2103,1845,1603,1289,1004,877,552,542,519,380,277,739,601,416,403,503,813,1074,1017,840,751,629,493,433,266,289,269,239,193,730,604,445,421,493,765,1083,1086,1005,852,660,511,444,286,253,250,141,84,1560,1315,933,851,992,1694,2302,2269,1969,1652,1362,1074,925,646,497,527,401,299,774,661,443,424,496,885,1136,1122,932,752,671,523,463,311,265,271,254,210,786,654,490,427,496,809,1166,1147,1037,900,691,551,462,335,232,256,147,89,1588,1439,998,866,1008,1633,2469,2378,2097,1747,1451,1130,963,686,499,522,429,320,775,731,472,427,507,858,1191,1181,983,809,704,560,472,335,256,276,260,225,813,708,526,439,501,775,1278,1197,1114,938,747,570,491,351,243,246,169,95,1678,1551,1079,885,990,1583,2575,2459,2215,1850,1533,1172,989,771,503,532,441,405,809,778,535,433,498,842,1243,1245,1032,872,729,574,493,369,256,288,263,286,869,773,544,452,492,741,1332,1214,1183,978,804,598,496,402,247,244,178,119,1725,1567,1221,864,980,1421,2466,2595,2301,1951,1570,1242,1030,811,517,527,451,422,830,795,615,413,499,756,1213,1286,1083,922,752,608,509,390,264,284,257,308,895,772,606,451,481,665,1253,1309,1218,1029,818,634,521,421,253,243,194,114,1702,1684,1309,898,933,1283,2281,2700,2385,1991,1656,1296,1033,896,547,507,458,440,806,847,666,439,484,688,1166,1324,1158,944,789,637,497,450,262,283,257,314,896,837,643,459,449,595,1115,1376,1227,1047,867,659,536,446,285,224,201,126,1695,1722,1379,949,918,1160,2146,2759,2459,2079,1660,1361,1081,913,636,479,471,493,830,863,698,455,485,618,1103,1330,1217,1006,772,675,526,456,305,274,262,350,865,859,681,494,433,542,1043,1429,1242,1073,888,686,555,457,331,205,209,143,1674,1712,1459,1024,887,1132,1935,2772,2524,2120,1722,1452,1138,943,662,456,453,509,841,844,740,488,458,615,1017,1334,1265,1015,812,710,568,470,324,253,267,360,833,868,719,536,429,517,918,1438,1259,1105,910,742,570,473,338,203,186,149,1565,1805,1544,1069,903,1068,1766,2743,2626,2198,1819,1518,1163,968,704,453,465,541,786,883,776,523,459,582,933,1341,1333,1035,859,737,584,484,349,241,280,389,779,922,768,546,444,486,833,1402,1293,1163,960,781,579,484,355,212,185,152,1493,1858,1592,1185,865,1032,1634,2644,2735,2290,1908,1540,1242,991,740,463,465,546,742,903,812,581,434,551,869,1313,1392,1080,905,757,613,504,375,239,280,389,751,955,780,604,431,481,765,1331,1343,1210,1003,783,629,487,365,224,185,157,1421,1809,1703,1249,924,1027,1506,2494,2832,2393,1954,1637,1270,1010,823,487,444,576,715,846,859,613,458,543,828,1254,1416,1153,926,792,635,506,428,240,278,400,706,963,844,636,466,484,678,1240,1416,1240,1028,845,635,504,395,247,166,176,1317,1797,1766,1337,972,995,1400,2317,2865,2487,2037,1654,1346,1036,849,559,398,599,645,870,879,658,474,533,772,1201,1412,1236,985,777,672,521,441,284,248,415,672,927,887,679,498,462,628,1116,1453,1251,1052,877,674,515,408,275,150,184,1224,1772,1757,1436,1068,981,1348,2118,2891,2605,2119,1700,1456,1078,870,598,395,619,585,869,871,714,508,533,731,1128,1411,1291,1023,820,713,558,442,300,235,430,639,903,886,722,560,448,617,990,1480,1314,1096,880,743,520,428,298,160,189,1152,1680,1771,1547,1104,989,1328,1941,2842,2678,2227,1802,1515,1123,898,645,402,635,537,827,866,760,525,520,720,1047,1391,1372,1060,869,740,569,469,324,236,441,615,853,905,787,579,469,608,894,1451,1306,1167,933,775,554,429,321,166,194,11,11,3,1,16,24,22,28,13,13,12,12,30,26,30,21,14,15,5,5,2,0,9,7,12,5,3,4,4,6,9,12,12,7,10,9,6,6,1,1,7,17,10,23,10,9,8,6,21,14,18,14,4,6,6,14,5,1,10,23,20,31,14,9,16,14,17,30,29,26,13,13,3,7,2,null,6,10,7,7,3,2,5,8,7,13,11,9,7,11,3,7,3,1,4,13,13,24,11,7,11,6,10,17,18,17,6,2,4,13,9,1,9,17,25,28,14,11,14,13,14,34,27,28,14,14,2,6,4,null,5,7,9,6,5,2,4,6,6,14,12,9,7,11,2,7,5,1,4,10,16,22,9,9,10,7,8,20,14,19,7,3,3,12,9,2,9,15,27,29,18,14,14,16,13,34,25,26,12,16,2,4,4,1,3,5,12,8,4,3,4,7,5,14,9,13,5,12,1,8,5,1,6,10,15,21,14,11,10,9,8,20,16,13,7,4,2,8,11,3,2,18,25,21,28,16,14,14,12,32,28,24,13,17,1,2,4,2,null,8,10,7,6,3,4,6,6,11,11,12,5,13,1,6,7,1,2,10,15,14,22,13,10,8,6,21,17,12,8,4,4,6,10,5,2,14,23,23,31,16,12,13,14,24,33,20,17,9,0,2,5,2,0,6,9,8,5,4,2,4,9,7,16,6,8,8,4,4,5,3,2,8,14,15,26,12,10,9,5,17,17,14,9,1,4,3,11,5,2,8,18,23,34,20,14,14,15,21,28,21,18,8,0,1,4,3,0,4,6,7,7,5,1,5,8,9,13,8,7,7,4,2,7,2,2,4,12,16,27,15,13,9,7,12,15,13,11,1,5,3,9,8,4,10,14,27,33,23,17,17,15,19,34,22,15,10,1,1,3,4,1,4,3,9,6,6,2,5,6,7,15,9,6,6,4,2,6,4,3,6,11,18,27,17,15,12,9,12,19,13,9,4,4,2,8,6,3,9,10,24,26,24,12,18,15,12,34,21,18,11,1,1,2,3,0,4,3,8,5,6,2,5,6,5,14,7,10,5,3,1,6,3,3,5,7,16,21,18,10,13,9,7,20,14,8,6,2,4,5,7,4,4,13,24,20,30,13,18,13,12,30,25,16,11,2,1,1,3,1,1,6,6,6,6,2,6,5,6,11,10,10,5,0,3,4,4,3,3,7,18,14,24,11,12,8,6,19,15,6,6,1,4,4,9,9,7,12,20,22,37,16,16,14,15,21,27,16,13,1,1,1,4,4,2,5,6,7,6,3,6,4,9,6,15,5,8,0,3,3,5,5,5,7,14,15,31,13,10,10,6,15,12,11,5,1,4,2,10,9,12,13,18,21,40,20,15,15,14,20,26,17,15,1,1,1,4,3,4,4,5,8,8,3,2,6,8,7,13,6,8,0,3,1,6,6,8,9,13,13,32,17,13,9,6,13,13,11,7,2,4,1,7,11,7,15,12,24,31,23,13,19,12,13,26,17,15,2,1,1,3,4,2,5,2,9,7,5,1,6,6,4,14,8,8,0,3,0,4,7,5,10,10,15,24,18,12,13,6,9,12,9,7,3,2,3,6,10,6,16,10,24,28,28,11,21,13,11,24,13,18,3,0,2,2,4,1,7,1,8,7,7,0,6,6,4,12,6,11,0,2,1,4,6,5,9,9,16,21,21,11,15,7,7,12,7,7,3,0,5,6,10,8,9,16,22,25,35,17,23,19,12,24,14,17,3,0,2,2,5,2,4,5,8,8,9,2,10,8,5,9,9,10,0,0,3,4,5,6,5,11,14,17,26,15,13,11,7,15,5,7,3,0,4,5,7,10,4,17,20,23,37,17,16,21,17,16,21,14,3,0,1,2,3,4,2,5,9,5,9,3,6,8,9,5,13,9,0,0,3,3,4,6,2,12,11,18,28,14,10,13,8,11,8,5,1,1,4,2,7,8,3,13,14,20,35,18,13,19,17,19,16,15,1,1,1,1,4,2,1,6,3,7,8,3,2,9,8,6,11,9,0,0,3,1,3,6,2,7,11,13,27,15,11,10,9,13,5,6,4,3,10,3,10,10,3,13,12,21,28,24,11,20,17,15,20,12,3,3,4,1,3,2,0,5,2,8,6,5,1,9,6,7,11,8,1,0,6,2,7,8,3,8,10,13,22,19,10,11,11,8,9,4,5,3,7,5,10,10,7,13,11,23,28,27,11,18,18,14,20,11,3,3,2,3,2,4,2,5,2,7,6,8,1,8,6,7,10,8,2,0,5,2,8,6,5,8,9,16,22,19,10,10,12,7,10,3,5,5,5,8,10,8,7,7,17,21,24,29,13,17,20,12,17,12,4,4,2,3,2,3,2,3,5,6,6,9,1,7,7,7,6,9,1,1,3,5,8,5,5,4,12,15,18,20,12,10,13,5,11,3,5,5,3,8,11,8,9,6,17,18,25,32,14,14,19,15,12,18,4,4,1,4,3,4,2,3,5,6,6,8,2,4,7,9,4,11,1,1,2,4,8,4,7,3,12,12,19,24,12,10,12,6,8,7,4,6,4,8,7,12,11,5,15,17,23,36,16,13,16,14,15,16,4,4,2,4,2,4,2,3,6,4,8,9,3,1,7,7,7,10,0,2,2,4,5,8,9,2,9,13,15,27,13,12,9,7,8,6,4,5,3,10,6,10,13,4,14,15,23,33,19,12,19,14,10,18,4,3,3,4,2,3,3,1,6,4,9,9,4,1,8,5,6,10,0,2,0,6,4,7,10,3,8,11,14,24,15,11,11,9,4,8,5,5,3,7,9,11,8,6,13,13,23,30,22,11,17,16,6,16,4,3,3,2,3,3,2,2,6,4,8,8,7,1,6,6,3,10,1,2,0,5,6,8,6,4,7,9,15,22,15,10,11,10,3,6,3,5,5,5,10,12,7,7,6,17,21,25,29,13,14,16,6,14,2,4,4,2,3,3,2,2,3,6,6,8,10,1,3,6,4,10,1,1,1,3,7,9,5,5,3,11,15,17,19,12,11,10,2,4,2,6,4,3,10,11,9,7,7,16,19,28,31,13,14,13,8,15,1,5,3,1,5,3,3,2,4,6,6,6,9,4,3,3,7,11,1,1,1,2,5,8,6,5,3,10,13,22,22,9,11,10,1,4,128,175,208,284,271,289,289,286,255,201,221,180,229,221,171,113,83,55,55,80,89,145,150,143,142,146,120,101,126,79,126,117,102,66,47,42,73,95,119,139,121,146,146,140,135,100,95,100,103,104,69,47,37,14,86,167,191,265,267,266,272,311,263,218,225,174,224,227,189,135,87,64,34,78,84,140,137,133,133,163,131,101,133,76,124,119,112,74,55,44,52,89,107,125,130,133,139,148,132,117,92,98,100,108,77,61,32,20,61,150,194,247,276,256,273,299,268,233,210,200,189,232,185,152,91,69,31,65,84,117,143,138,122,162,131,109,117,98,105,129,99,80,61,48,30,84,110,130,134,118,152,137,137,124,93,101,83,103,85,71,30,21,53,138,180,232,278,273,266,284,286,227,220,217,169,225,186,168,96,76,29,59,82,107,150,151,122,147,143,107,115,113,88,128,98,96,60,57,24,79,98,125,128,122,144,137,143,120,105,104,81,97,88,72,36,19,86,138,168,221,300,251,274,277,280,265,211,213,171,213,206,161,96,91,48,58,81,97,149,135,132,142,142,124,112,119,79,121,110,100,60,64,38,80,87,124,151,116,142,135,138,141,99,94,92,92,96,61,36,27,108,113,171,217,316,285,279,283,298,269,203,217,170,218,203,165,103,82,59,43,81,95,157,148,135,137,152,129,96,129,77,122,112,100,65,59,49,70,90,122,159,137,144,146,146,140,107,88,93,96,91,65,38,23,140,101,159,208,287,315,280,286,323,277,219,229,161,213,204,166,116,85,73,35,72,91,148,158,137,137,170,138,102,132,73,119,112,98,68,62,67,66,87,117,139,157,143,149,153,139,117,97,88,94,92,68,48,23,142,138,149,206,278,324,298,295,337,281,233,223,183,181,212,165,127,85,73,62,63,88,130,161,156,138,174,138,112,119,94,99,124,90,73,65,69,76,86,118,148,163,142,157,163,143,121,104,89,82,88,75,54,20,163,146,145,202,253,332,310,310,324,303,230,221,209,160,209,167,135,91,86,67,57,88,109,173,165,147,158,153,112,114,109,84,119,91,79,67,77,79,88,114,144,159,145,163,166,150,118,107,100,76,90,76,56,24,176,141,152,185,240,364,332,331,325,288,272,214,208,161,198,180,135,91,87,66,55,85,96,190,163,163,154,146,129,113,114,76,111,100,82,67,89,75,97,100,144,174,169,168,171,142,143,101,94,85,87,80,53,24,222,152,162,181,243,366,393,369,344,315,287,218,220,152,203,179,123,95,103,79,59,80,102,185,194,182,158,162,139,99,130,73,113,101,74,64,119,73,103,101,141,181,199,187,186,153,148,119,90,79,90,78,49,31,261,193,163,180,255,372,468,400,360,349,298,239,224,153,198,187,120,95,125,96,59,81,107,186,236,192,166,175,151,112,130,74,115,104,74,60,136,97,104,99,148,186,232,208,194,174,147,127,94,79,83,83,46,35,309,207,181,174,245,383,514,451,382,366,312,263,216,180,165,194,117,105,145,105,78,74,106,184,258,225,175,183,153,125,119,94,90,117,70,67,164,102,103,100,139,199,256,226,207,183,159,138,97,86,75,77,47,38,349,253,184,173,244,396,590,497,407,367,343,276,218,203,141,190,124,110,157,130,83,74,113,192,303,246,191,179,171,131,116,106,76,114,79,74,192,123,101,99,131,204,287,251,216,188,172,145,102,97,65,76,45,36,374,281,204,189,214,388,620,528,443,391,345,315,215,199,141,176,145,115,176,141,98,84,104,193,316,257,220,186,171,151,113,112,72,106,96,81,198,140,106,105,110,195,304,271,223,205,174,164,102,87,69,70,49,34,397,318,199,200,208,396,633,577,483,394,359,322,228,201,141,176,140,114,172,164,95,92,94,209,314,288,235,190,177,159,107,124,73,107,88,79,225,154,104,108,114,187,319,289,248,204,182,163,121,77,68,69,52,35,406,336,237,182,198,349,619,611,507,391,386,330,256,216,137,174,138,112,164,175,111,78,94,186,313,300,242,189,191,165,120,129,70,108,84,77,242,161,126,104,104,163,306,311,265,202,195,165,136,87,67,66,54,35,389,369,237,194,200,307,563,649,517,416,379,338,283,211,163,141,160,117,163,177,122,86,93,150,280,325,252,198,189,167,132,121,89,85,102,78,226,192,115,108,107,157,283,324,265,218,190,171,151,90,74,56,58,39,359,380,280,191,200,280,526,676,540,436,368,360,289,226,183,127,155,129,161,173,142,84,91,128,265,330,275,204,178,180,135,122,105,73,100,92,198,207,138,107,109,152,261,346,265,232,190,180,154,104,78,54,55,37,355,388,293,209,201,259,482,694,559,461,377,353,326,225,185,128,149,150,158,175,147,95,85,123,241,340,275,221,181,171,159,120,108,71,94,107,197,213,146,114,116,136,241,354,284,240,196,182,167,105,77,57,55,43,339,396,323,205,210,251,440,670,600,475,389,377,322,241,186,123,156,147,163,168,164,102,93,112,226,333,298,231,184,182,161,118,118,69,95,103,176,228,159,103,117,139,214,337,302,244,205,195,161,123,68,54,61,44,325,393,331,235,193,238,394,642,617,483,385,387,334,257,201,123,149,158,169,166,168,118,86,112,205,325,300,236,186,191,166,124,125,67,96,114,156,227,163,117,107,126,189,317,317,247,199,196,168,133,76,56,53,44,297,398,369,227,194,238,374,592,662,511,400,387,335,266,210,147,125,164,152,185,178,118,90,120,195,295,324,250,189,198,156,129,122,87,79,117,145,213,191,109,104,118,179,297,338,261,211,189,179,137,88,60,46,47,292,370,381,262,191,235,338,563,693,539,408,375,347,275,224,162,118,169,155,179,173,136,91,118,173,285,340,263,192,184,168,134,119,95,73,122,137,191,208,126,100,117,165,278,353,276,216,191,179,141,105,67,45,47,280,350,400,284,198,232,325,509,709,556,425,374,349,311,223,167,107,179,148,166,184,144,96,111,170,255,355,270,206,182,165,154,118,102,66,128,132,184,216,140,102,121,155,254,354,286,219,192,184,157,105,65,41,51,277,351,415,313,211,248,328,481,699,616,448,381,359,321,223,170,109,176,145,173,180,162,100,126,164,249,350,298,219,177,176,160,109,113,64,126,132,178,235,151,111,122,164,232,349,318,229,204,183,161,114,57,45,50,71,84,90,114,152,128,124,130,75,96,78,80,88,84,54,51,61,57,40,35,34,46,76,64,67,56,38,52,39,40,42,42,27,36,41,42,31,49,56,68,76,64,57,74,37,44,39,40,46,42,27,15,20,15,72,76,80,101,148,143,114,130,81,82,89,78,80,84,66,42,55,58,40,36,27,45,69,78,60,62,36,42,48,40,37,43,34,28,38,42,32,40,53,56,79,65,54,68,45,40,41,38,43,41,32,14,17,16,69,77,73,92,138,150,122,113,100,83,91,75,80,82,68,42,49,59,37,41,26,39,62,75,65,54,50,41,48,39,36,47,32,30,33,44,33,37,47,53,76,74,57,59,50,43,43,37,45,36,37,12,16,15,69,72,79,95,115,153,139,110,106,77,89,72,75,77,84,47,56,58,34,39,33,37,45,86,72,52,53,38,48,35,35,39,44,32,37,42,35,33,46,58,70,67,67,58,53,39,41,37,40,38,40,15,19,16,74,64,89,89,109,151,132,116,126,79,86,70,77,76,79,52,50,61,37,36,40,29,42,80,71,65,58,41,46,36,39,35,41,36,34,44,37,28,49,60,67,71,61,51,68,38,40,34,38,41,38,16,16,17,64,76,86,85,109,141,137,119,124,83,80,86,71,83,73,58,44,71,37,41,39,30,47,68,72,63,58,44,43,44,35,41,39,37,32,51,27,35,47,55,62,73,65,56,66,39,37,42,36,42,34,21,12,20,60,83,77,82,104,144,145,121,130,79,80,83,77,80,76,62,43,71,32,45,35,31,47,63,77,64,63,40,43,45,36,40,41,36,33,52,28,38,42,51,57,81,68,57,67,39,37,38,41,40,35,26,10,19,65,81,77,75,99,145,150,127,115,97,79,87,75,75,74,62,42,63,29,43,38,27,42,65,80,69,52,54,39,44,37,35,46,35,30,45,36,38,39,48,57,80,70,58,63,43,40,43,38,40,28,27,12,18,67,71,70,91,99,136,136,135,110,108,77,91,75,72,72,71,40,63,29,36,33,34,38,52,79,67,54,56,37,51,38,34,44,40,26,44,38,35,37,57,61,84,57,68,56,52,40,40,37,38,28,31,14,19,56,64,58,93,96,123,117,132,102,110,70,86,69,76,77,66,42,62,26,30,29,38,34,48,66,64,53,52,34,44,38,37,43,37,28,40,30,34,29,55,62,75,51,68,49,58,36,42,31,39,34,29,14,22,53,56,69,88,92,107,128,132,103,113,74,80,84,75,78,65,48,55,25,25,34,36,31,48,65,69,50,54,39,43,47,35,41,40,30,40,28,31,35,52,61,59,63,63,53,59,35,37,37,40,37,25,18,15,56,50,73,89,91,107,140,137,102,113,74,78,78,76,78,68,48,53,27,23,36,38,32,49,71,75,47,59,38,41,45,35,42,40,29,36,29,27,37,51,59,58,69,62,55,54,36,37,33,41,36,28,19,17,54,58,69,79,86,119,132,148,117,96,88,76,85,76,75,72,51,52,20,28,35,38,24,55,68,77,63,47,49,37,45,38,37,46,32,39,34,30,34,41,62,64,64,71,54,49,39,39,40,38,38,26,19,13,51,54,63,72,88,115,133,137,130,94,95,69,87,71,71,67,59,55,18,25,33,30,33,45,60,87,67,43,50,33,47,37,34,42,36,40,33,29,30,42,55,70,73,50,63,51,45,36,40,34,37,25,23,15,56,46,62,61,94,112,125,125,129,96,99,74,86,62,74,67,55,58,22,22,31,28,39,48,57,75,67,53,47,39,45,32,38,37,34,43,34,24,31,33,55,64,68,50,62,43,52,35,41,30,36,30,21,15,55,56,47,59,99,107,121,125,136,92,101,70,78,73,68,74,53,60,23,26,25,25,46,46,56,69,74,50,47,35,42,40,36,41,34,45,32,30,22,34,53,61,65,56,62,42,54,35,36,33,32,33,19,15,58,49,52,57,89,95,113,128,139,93,97,77,72,70,68,73,60,62,26,21,26,26,41,38,51,68,77,49,47,39,38,40,37,37,35,42,32,28,26,31,48,57,62,60,62,44,50,38,34,30,31,36,25,20,45,48,49,58,78,102,107,120,128,104,85,82,68,77,69,69,66,66,19,19,20,30,41,41,53,53,72,58,40,47,32,40,36,33,40,43,26,29,29,28,37,61,54,67,56,46,45,35,36,37,33,36,26,23,43,49,48,56,67,104,96,117,125,118,78,89,69,75,71,62,72,74,21,22,21,27,32,49,41,44,79,66,32,49,32,43,39,32,40,47,22,27,27,29,35,55,55,73,46,52,46,40,37,32,32,30,32,27,47,49,45,49,57,104,90,98,116,111,85,91,70,69,60,70,65,84,24,20,20,25,28,46,38,41,63,58,49,45,34,37,35,40,35,54,23,29,25,24,29,58,52,57,53,53,36,46,36,32,25,30,30,30,50,50,59,46,54,86,83,93,110,117,84,90,70,65,73,60,67,85,25,21,24,23,29,39,34,41,58,61,45,47,34,35,43,34,37,57,25,29,35,23,25,47,49,52,52,56,39,43,36,30,30,26,30,28,46,50,53,42,59,87,82,83,115,123,93,88,77,67,71,63,65,86,25,23,22,17,30,41,33,44,55,67,48,46,40,35,44,36,33,58,21,27,31,25,29,46,49,39,60,56,45,42,37,32,27,27,32,28,46,38,54,46,59,72,72,91,112,120,105,83,83,68,77,65,61,91,27,18,21,17,28,33,28,50,51,65,58,40,47,35,41,38,35,61,19,20,33,29,31,39,44,41,61,55,47,43,36,33,36,27,26,30,36,40,49,53,60,58,84,83,110,124,113,86,84,64,75,63,55,95,20,19,22,21,27,25,42,41,44,76,63,39,45,32,40,37,33,58,16,21,27,32,33,33,42,42,66,48,50,47,39,32,35,26,22,37,40,45,55,50,49,59,91,85,90,123,112,93,88,71,65,54,65,87,23,24,24,21,23,27,42,43,39,71,60,55,39,38,36,35,38,56,17,21,31,29,26,32,49,42,51,52,52,38,49,33,29,19,27,31,41,51,51,56,44,59,83,83,94,122,116,92,84,74,60,64,61,95,28,28,22,24,19,26,44,39,45,66,63,53,39,39,33,38,37,60,13,23,29,32,25,33,39,44,49,56,53,39,45,35,27,26,24,35,75,111,162,205,142,160,149,180,147,158,102,112,135,149,131,86,57,47,38,53,73,92,67,87,80,85,72,73,54,58,64,72,74,49,33,32,37,58,89,113,75,73,69,95,75,85,48,54,71,77,57,37,24,15,66,107,137,201,169,151,149,181,157,159,134,97,114,158,127,91,64,52,29,57,59,92,75,74,83,88,83,72,67,52,55,72,72,52,41,35,37,50,78,109,94,77,66,93,74,87,67,45,59,86,55,39,23,17,73,99,131,206,189,141,155,183,173,162,139,102,109,156,129,106,79,47,33,54,58,96,82,74,78,97,81,72,69,57,61,68,73,59,50,34,41,45,73,110,106,67,77,86,91,90,70,46,48,88,56,47,29,13,77,87,119,183,214,142,159,171,174,166,147,112,107,138,129,108,72,53,33,51,54,80,93,70,84,85,83,80,68,64,54,67,72,60,46,36,44,36,65,103,121,72,75,86,91,86,79,48,53,71,57,48,26,17,66,85,109,157,215,156,154,167,187,160,159,107,107,130,126,120,71,57,30,47,49,69,97,71,81,82,90,74,79,56,56,61,67,74,43,38,36,38,60,88,118,85,73,85,97,86,80,51,51,69,59,46,28,19,70,72,101,153,212,172,156,153,197,167,165,113,95,122,140,117,78,61,31,38,50,67,89,77,77,79,98,80,77,60,52,60,68,73,48,41,39,34,51,86,123,95,79,74,99,87,88,53,43,62,72,44,30,20,84,81,101,133,240,206,169,167,187,171,168,132,92,110,153,118,76,65,43,38,57,52,107,86,81,92,88,84,76,67,51,57,74,72,47,41,41,43,44,81,133,120,88,75,99,87,92,65,41,53,79,46,29,24,92,75,96,125,220,246,179,173,188,182,167,138,99,108,136,125,87,70,46,34,53,56,95,103,82,85,98,84,74,71,53,62,63,72,52,46,46,41,43,69,125,143,97,88,90,98,93,67,46,46,73,53,35,24,93,79,86,121,199,253,174,178,171,180,165,148,105,109,126,119,92,66,44,34,48,59,79,110,79,85,86,84,81,69,61,56,66,68,54,49,49,45,38,62,120,143,95,93,85,96,84,79,44,53,60,51,38,17,111,84,86,115,173,253,208,189,169,185,169,158,110,107,119,118,98,70,51,37,44,53,70,116,96,92,85,86,83,74,60,56,59,64,65,47,60,47,42,62,103,137,112,97,84,99,86,84,50,51,60,54,33,23,127,94,85,108,178,262,233,212,170,199,184,170,122,94,117,129,94,73,56,44,41,51,77,118,102,104,86,97,91,77,64,52,61,65,63,50,71,50,44,57,101,144,131,108,84,102,93,93,58,42,56,64,31,23,129,92,89,102,154,280,260,204,172,197,191,172,135,95,108,131,92,82,60,44,40,55,65,133,114,92,89,96,96,81,68,52,59,63,60,57,69,48,49,47,89,147,146,112,83,101,95,91,67,43,49,68,32,25,127,96,88,109,163,275,280,204,190,196,195,174,140,99,107,119,95,89,56,48,43,55,80,129,124,92,91,106,92,80,71,50,64,57,58,64,71,48,45,54,83,146,156,112,99,90,103,94,69,49,43,62,37,25,145,103,92,109,157,255,295,200,210,183,205,181,150,103,109,115,99,96,60,49,43,53,79,115,134,87,104,94,98,92,68,56,57,63,55,69,85,54,49,56,78,140,161,113,106,89,107,89,82,47,52,52,44,27,153,117,86,95,148,206,301,244,210,191,203,186,169,109,106,114,107,101,68,58,41,48,65,98,134,107,103,97,95,94,77,57,57,62,60,75,85,59,45,47,83,108,167,137,107,94,108,92,92,52,49,52,47,26,168,126,93,93,130,186,306,264,213,178,207,192,175,114,92,110,112,102,73,62,47,45,55,88,141,115,103,91,102,96,80,58,51,60,59,70,95,64,46,48,75,98,165,149,110,87,105,96,95,56,41,50,53,32,166,143,86,89,121,168,300,269,199,179,203,190,178,132,92,101,117,110,76,65,43,42,59,74,146,118,91,95,98,97,83,65,49,58,63,76,90,78,43,47,62,94,154,151,108,84,105,93,95,67,43,43,54,34,179,143,97,86,112,156,269,296,204,189,194,192,185,137,92,102,103,115,78,67,48,42,54,71,129,130,93,94,104,93,84,69,46,62,55,76,101,76,49,44,58,85,140,166,111,95,90,99,101,68,46,40,48,39,175,146,106,89,108,143,256,299,211,209,188,201,182,154,102,99,103,115,70,73,50,42,57,63,120,138,95,102,96,97,93,69,56,56,62,76,105,73,56,47,51,80,136,161,116,107,92,104,89,85,46,43,41,39,162,162,125,86,102,144,197,309,237,214,193,193,175,159,104,99,95,121,71,74,62,43,51,63,95,147,107,104,98,94,91,73,56,59,53,79,91,88,63,43,51,81,102,162,130,110,95,99,84,86,48,40,42,42,145,177,128,90,90,121,176,315,255,211,175,210,175,164,109,81,94,127,60,80,65,43,44,53,91,146,112,103,88,105,92,75,55,50,57,79,85,97,63,47,46,68,85,169,143,108,87,105,83,89,54,31,37,48,150,185,141,89,92,107,158,306,277,204,175,208,175,165,127,84,91,134,69,82,67,43,42,51,80,146,118,99,88,102,90,81,62,47,59,82,81,103,74,46,50,56,78,160,159,105,87,106,85,84,65,37,32,52,123,197,141,99,89,107,141,274,294,214,186,198,188,170,129,86,90,128,56,85,69,49,42,49,68,134,124,107,90,104,89,87,66,44,63,78,67,112,72,50,47,58,73,140,170,107,96,94,99,83,63,42,27,50,116,187,154,102,94,90,148,246,295,213,194,192,194,173,132,93,94,128,57,76,77,50,42,42,73,121,136,98,96,96,94,95,62,55,60,80,59,111,77,52,52,48,75,125,159,115,98,96,100,78,70,38,34,48,108,172,172,130,94,91,145,216,317,243,197,193,196,178,144,95,84,127,48,75,81,64,47,41,73,111,145,114,99,95,94,91,73,51,54,82,60,97,91,66,47,50,72,105,172,129,98,98,102,87,71,44,30,45,102,158,176,138,102,89,130,195,326,252,206,172,214,182,157,100,69,126,49,62,81,67,51,43,59,97,152,116,104,87,105,96,78,53,45,84,53,96,95,71,51,46,71,98,174,136,102,85,109,86,79,47,24,42,70,97,142,165,169,158,144,165,146,135,143,128,136,142,120,94,71,57,28,40,63,83,72,65,61,84,66,69,67,60,66,70,67,58,50,40,42,57,79,82,97,93,83,81,80,66,76,68,70,72,53,36,21,17,65,92,105,171,154,165,140,156,162,127,146,131,127,144,113,106,78,57,27,38,43,83,74,60,62,78,75,62,68,61,63,73,54,68,52,40,38,54,62,88,80,105,78,78,87,65,78,70,64,71,59,38,26,17,63,84,96,167,158,160,149,153,170,131,152,129,123,151,120,110,80,58,24,33,43,81,74,58,65,72,81,64,74,59,66,74,58,67,55,39,38,51,54,86,84,102,84,81,89,67,78,70,57,77,62,43,25,19,60,81,85,157,167,148,162,148,160,143,140,130,133,145,123,102,78,66,24,33,37,69,82,58,76,60,80,66,73,59,71,69,59,61,52,45,36,48,48,88,85,90,86,88,80,77,67,71,62,76,64,41,26,21,59,73,94,145,153,164,157,154,162,156,136,133,127,145,129,108,76,71,27,27,41,66,77,69,65,65,82,73,72,58,67,65,63,63,47,50,32,46,53,79,76,95,92,89,80,83,64,75,60,80,66,45,29,21,62,70,95,115,169,159,164,152,154,161,127,135,133,141,136,104,86,68,31,29,40,49,86,73,70,66,79,76,66,63,67,66,70,52,57,48,31,41,55,66,83,86,94,86,75,85,61,72,66,75,66,52,29,20,65,65,95,103,168,159,161,148,163,171,125,136,130,134,148,105,91,75,29,31,41,42,85,73,60,72,82,81,61,66,63,64,79,52,62,54,36,34,54,61,83,86,101,76,81,90,64,70,67,70,69,53,29,21,69,66,84,103,160,172,156,156,166,180,126,142,127,130,153,114,96,73,37,30,35,45,77,84,59,72,81,84,61,72,56,66,80,60,62,50,32,36,49,58,83,88,97,84,85,96,65,70,71,64,73,54,34,23,68,63,91,97,160,190,151,167,162,177,147,140,131,136,144,125,86,77,39,25,39,39,71,93,59,81,71,87,66,74,60,68,74,66,53,54,29,38,52,58,89,97,92,86,91,90,81,66,71,68,70,59,33,23,68,66,84,108,146,186,168,160,177,175,161,129,137,127,141,133,91,76,38,31,34,50,67,90,68,71,77,87,75,68,60,65,71,69,53,57,30,35,50,58,79,96,100,89,100,88,86,61,77,62,70,64,38,19,79,67,79,106,131,188,183,168,179,177,167,127,136,135,148,129,90,78,45,33,35,47,54,94,79,69,76,90,77,63,64,67,72,67,49,62,34,34,44,59,77,94,104,99,103,87,90,64,72,68,76,62,41,16,90,78,80,116,129,212,195,181,179,187,187,127,144,135,135,135,91,88,51,32,40,50,57,100,92,68,86,88,86,61,68,60,65,76,48,67,39,46,40,66,72,112,103,113,93,99,101,66,76,75,70,59,43,21,102,85,77,112,135,220,210,193,180,192,196,135,150,130,131,139,103,85,54,42,39,50,63,106,98,87,89,89,89,66,77,54,68,76,58,61,48,43,38,62,72,114,112,106,91,103,107,69,73,76,63,63,45,24,123,85,83,101,132,210,236,191,199,196,193,152,148,140,135,134,108,84,59,45,38,44,62,93,118,87,101,80,92,70,78,61,70,73,61,57,64,40,45,57,70,117,118,104,98,116,101,82,70,79,65,61,47,27,128,86,94,94,139,209,257,228,207,211,200,169,143,152,131,138,109,89,62,47,46,38,67,96,124,98,100,92,96,82,76,68,72,70,65,62,66,39,48,56,72,113,133,130,107,119,104,87,67,84,59,68,44,27,131,89,90,94,138,186,268,232,217,203,209,176,144,142,134,137,106,92,55,51,43,46,65,83,137,95,102,89,102,84,76,65,68,73,64,61,76,38,47,48,73,103,131,137,115,114,107,92,68,77,66,64,42,31,132,101,94,89,141,172,254,254,218,190,207,192,140,151,144,126,106,94,56,60,47,47,68,83,124,107,94,92,98,92,72,71,69,68,69,62,76,41,47,42,73,89,130,147,124,98,109,100,68,80,75,58,37,32,132,114,91,85,131,157,250,261,230,195,203,204,147,160,135,122,112,91,63,62,49,42,63,79,123,116,99,95,92,96,78,79,60,73,71,58,69,52,42,43,68,78,127,145,131,100,111,108,69,81,75,49,41,33,125,124,95,91,117,152,225,283,214,215,198,210,158,149,141,122,108,93,58,65,56,42,53,75,102,133,92,111,78,103,77,78,66,71,65,61,67,59,39,49,64,77,123,150,122,104,120,107,81,71,75,51,43,32,122,133,90,94,102,148,217,271,222,220,204,221,169,142,147,124,107,94,57,65,54,45,44,80,97,127,98,109,86,110,81,75,72,73,61,67,65,68,36,49,58,68,120,144,124,111,118,111,88,67,75,51,46,27,110,133,111,102,101,155,190,278,234,231,208,225,188,141,139,131,108,110,54,56,60,52,47,85,90,129,102,112,96,110,88,77,68,77,60,73,56,77,51,50,54,70,100,149,132,119,112,115,100,64,71,54,48,37,98,128,123,104,95,159,160,274,263,221,194,223,208,143,139,130,107,112,49,55,70,50,46,84,87,125,119,98,96,103,102,76,67,71,62,75,49,73,53,54,49,75,73,149,144,123,98,120,106,67,72,59,45,37,104,133,116,101,90,150,163,248,276,224,200,212,216,148,154,117,113,111,52,60,63,51,47,76,89,113,127,97,102,101,100,78,82,56,73,72,52,73,53,50,43,74,74,135,149,127,98,111,116,70,72,61,40,39,101,121,131,98,98,138,158,226,290,209,221,205,210,164,153,123,116,115,44,54,68,56,48,63,92,101,141,90,117,86,99,80,86,60,75,73,57,67,63,42,50,75,66,125,149,119,104,119,111,84,67,63,41,42,99,120,138,96,103,125,164,214,277,227,221,216,223,173,144,136,107,119,44,56,66,56,48,58,92,104,132,96,111,93,104,87,80,68,68,73,55,64,72,40,55,67,72,110,145,131,110,123,119,86,64,68,39,46,97,121,148,103,103,119,158,192,279,254,230,226,233,186,144,137,103,125,44,58,68,59,52,60,88,97,133,108,113,100,111,90,77,70,66,76,53,63,80,44,51,59,70,95,146,146,117,126,122,96,67,67,37,49,34,36,40,54,64,60,55,66,55,70,63,56,66,71,64,74,51,36,18,20,22,30,27,29,27,30,19,28,30,21,32,34,35,41,27,23,16,16,18,24,37,31,28,36,36,42,33,35,34,37,29,33,24,13,28,25,41,52,55,62,53,54,69,66,64,55,62,67,69,70,50,41,17,14,22,28,27,26,26,27,25,22,36,17,28,32,34,42,30,24,11,11,19,24,28,36,27,27,44,44,28,38,34,35,35,28,20,17,25,25,33,51,54,59,58,52,65,69,59,57,64,55,69,72,44,43,16,14,19,30,25,27,28,26,25,25,31,18,27,28,29,45,25,25,9,11,14,21,29,32,30,26,40,44,28,39,37,27,40,26,19,18,20,29,33,48,59,58,61,53,69,56,70,57,63,57,69,71,44,46,15,17,17,25,30,24,30,28,26,19,33,22,25,29,29,46,25,29,5,12,16,23,29,34,31,25,43,37,37,35,38,28,40,25,19,17,21,30,31,39,52,67,61,54,65,53,73,65,53,58,66,64,48,46,16,18,17,18,29,26,26,28,28,20,29,28,20,28,30,39,30,29,5,12,14,21,23,41,35,26,37,33,44,37,33,30,36,25,18,17,19,27,29,38,61,57,66,53,63,58,80,67,53,53,61,67,51,44,14,15,18,19,28,25,20,27,32,19,30,33,17,24,29,40,31,27,5,12,11,19,33,32,46,26,31,39,50,34,36,29,32,27,20,17,15,31,24,39,63,54,67,60,55,67,70,74,53,55,52,64,53,47,9,19,15,20,29,24,23,28,25,26,24,40,15,24,27,34,35,29,6,12,9,19,34,30,44,32,30,41,46,34,38,31,25,30,18,18,25,28,24,33,59,60,72,62,54,66,73,67,54,59,47,57,58,46,12,17,14,17,31,24,29,26,25,24,27,33,19,23,27,26,38,27,13,11,10,16,28,36,43,36,29,42,46,34,35,36,20,31,20,19,25,30,29,31,57,76,65,71,54,72,63,75,55,56,48,54,58,49,10,18,17,16,26,33,25,31,27,28,23,35,21,23,25,26,37,28,15,12,12,15,31,43,40,40,27,44,40,40,34,33,23,28,21,21,25,30,31,32,49,85,73,76,61,69,65,80,63,51,53,54,49,53,12,16,18,19,19,41,27,30,28,30,28,32,25,21,26,29,30,30,13,14,13,13,30,44,46,46,33,39,37,48,38,30,27,25,19,23,32,32,35,35,49,83,80,88,68,67,64,86,69,54,47,52,48,56,15,17,17,21,22,34,35,31,31,33,23,35,33,18,22,26,29,33,17,15,18,14,27,49,45,57,37,34,41,51,36,36,25,26,19,23,31,37,42,32,49,88,83,89,79,58,69,81,71,52,51,48,43,60,11,22,19,18,24,37,32,34,34,30,29,31,35,16,25,26,23,39,20,15,23,14,25,51,51,55,45,28,40,50,36,36,26,22,20,21,37,38,36,31,42,79,82,95,83,60,74,82,69,53,52,42,44,56,14,21,18,15,22,37,25,42,37,28,30,35,32,18,25,25,21,40,23,17,18,16,20,42,57,53,46,32,44,47,37,35,27,17,23,16,36,36,34,31,43,68,94,89,88,61,84,69,75,56,51,42,46,55,16,20,17,14,21,29,34,38,36,31,33,27,35,21,22,25,23,38,20,16,17,17,22,39,60,51,52,30,51,42,40,35,29,17,23,17,38,37,31,33,36,59,89,88,82,65,78,70,76,61,42,46,43,50,19,19,15,16,19,24,37,35,34,31,35,29,32,23,18,26,23,31,19,18,16,17,17,35,52,53,48,34,43,41,44,38,24,20,20,19,36,34,36,35,39,51,88,82,80,71,74,70,79,63,44,39,47,55,21,13,22,14,23,23,34,35,31,34,35,25,35,30,15,19,26,35,15,21,14,21,16,28,54,47,49,37,39,45,44,33,29,20,21,20,34,36,36,38,31,45,85,83,88,81,64,73,73,65,45,39,43,52,21,15,22,16,17,19,40,35,33,39,30,31,29,32,16,20,25,29,13,21,14,22,14,26,45,48,55,42,34,42,44,33,29,19,18,23,27,43,38,35,33,40,75,77,97,76,64,72,75,63,49,42,34,48,16,19,22,16,17,21,36,27,43,34,30,30,32,31,18,21,22,26,11,24,16,19,16,19,39,50,54,42,34,42,43,32,31,21,12,22,32,40,39,31,37,42,56,93,84,80,68,80,67,72,47,43,34,45,19,18,20,17,17,22,25,37,37,34,35,31,28,37,18,19,23,28,13,22,19,14,20,20,31,56,47,46,33,49,39,35,29,24,11,17,24,44,36,32,39,41,46,84,86,74,63,79,63,76,53,38,37,44,13,23,20,18,19,20,21,36,35,30,31,32,29,34,23,17,23,28,11,21,16,14,20,21,25,48,51,44,32,47,34,42,30,21,14,16,22,41,38,37,43,40,43,76,86,81,69,79,63,79,57,36,30,46,10,25,16,23,18,22,23,32,36,32,31,36,26,36,29,14,16,31,12,16,22,14,25,18,20,44,50,49,38,43,37,43,28,22,14,15,22,36,38,41,45,33,37,70,85,89,65,70,74,71,64,37,35,40,11,22,18,24,21,19,15,37,36,36,29,32,34,31,34,14,20,26,11,14,20,17,24,14,22,33,49,53,36,38,40,40,30,23,15,14,22,25,42,40,39,36,35,60,73,97,74,70,72,73,62,38,35,38,11,17,20,24,21,16,17,30,30,42,31,32,33,34,33,17,20,25,11,8,22,16,18,20,18,30,43,55,43,38,39,39,29,21,15,13,18,31,47,43,39,41,36,48,85,93,78,74,77,66,69,33,37,40,10,21,23,25,21,16,15,21,39,42,32,38,32,31,37,15,20,28,8,10,24,18,18,25,21,27,46,51,46,36,45,35,32,18,17,12,22,28,48,36,45,52,37,44,79,100,81,70,81,58,74,43,34,39,12,18,26,20,24,23,17,19,39,45,36,32,37,28,33,22,17,28,10,10,22,16,21,29,20,25,40,55,45,38,44,30,41,21,17,11,26,22,47,39,44,56,41,45,79,100,88,77,76,59,79,49,36,33,15,14,28,15,29,22,19,23,37,48,37,35,37,27,36,28,15,23,11,8,19,24,15,34,22,22,42,52,51,42,39,32,43,21,21,10,388,431,671,979,968,825,722,901,856,900,645,509,681,693,631,425,284,277,164,224,343,513,462,377,365,485,430,434,323,242,351,391,360,228,179,197,224,207,327,466,505,447,356,417,426,466,321,267,330,301,270,197,105,80,308,405,605,862,993,854,713,839,908,897,726,525,599,694,640,469,306,313,144,183,319,447,476,399,349,439,465,439,354,250,305,385,373,252,195,226,164,222,286,415,517,455,364,400,443,458,372,275,294,309,267,217,111,87,292,417,536,803,989,859,720,771,902,883,779,554,526,711,666,498,302,311,120,201,272,416,500,379,348,406,479,438,378,264,276,388,380,275,192,229,171,216,263,386,489,480,372,365,422,446,401,290,250,323,285,223,110,82,230,399,472,741,937,852,727,702,895,850,825,574,480,697,662,512,316,322,97,186,238,389,481,385,339,374,490,408,406,280,252,366,386,292,191,234,133,213,234,352,456,467,388,328,405,442,419,294,228,331,276,220,125,88,254,374,422,653,897,811,691,664,871,814,844,578,485,654,662,532,328,328,116,166,220,330,464,377,315,358,462,411,406,295,238,340,390,316,187,238,138,208,202,323,433,434,376,306,409,403,438,283,247,314,272,216,141,90,259,321,415,601,847,829,672,639,820,826,842,616,481,597,657,544,342,330,133,142,197,313,431,393,304,324,444,421,409,314,236,314,374,332,205,233,126,179,218,288,416,436,368,315,376,405,433,302,245,283,283,212,137,97,293,332,402,596,816,852,729,652,762,870,859,669,499,558,637,576,367,314,157,159,184,321,421,413,354,321,410,456,426,324,253,289,361,350,216,226,136,173,218,275,395,439,375,331,352,414,433,345,246,269,276,226,151,88,292,294,401,536,754,821,742,634,703,856,827,732,529,501,645,597,392,321,156,136,191,274,389,413,345,312,380,462,414,353,266,272,360,355,241,236,136,158,210,262,365,408,397,322,323,394,413,379,263,229,285,242,151,85,313,294,392,468,714,825,755,648,663,859,799,779,548,465,638,596,421,346,168,137,189,231,377,426,342,314,355,468,385,387,275,253,353,365,267,243,145,157,203,237,337,399,413,334,308,391,414,392,273,212,285,231,154,103,328,284,387,442,648,817,723,649,643,842,791,807,559,466,600,588,442,354,164,133,166,237,325,424,338,310,347,449,402,383,296,236,331,366,279,243,164,151,221,205,323,393,385,339,296,393,389,424,263,230,269,222,163,111,335,294,356,434,603,792,690,662,605,807,811,807,599,461,559,573,459,373,159,149,158,210,313,412,332,316,304,448,403,389,314,238,311,347,298,257,176,145,198,224,290,380,358,346,301,359,408,418,285,223,248,226,161,116,328,316,370,404,571,749,718,655,608,746,854,808,639,470,528,572,486,386,155,156,173,184,298,385,345,320,303,396,440,402,314,245,291,341,316,269,173,160,197,220,273,364,373,335,305,350,414,406,325,225,237,231,170,117,373,326,350,446,522,708,747,672,619,724,844,798,703,499,476,592,506,402,200,165,162,209,265,354,356,328,306,384,444,400,350,257,276,348,317,287,173,161,188,237,257,354,391,344,313,340,400,398,353,242,200,244,189,115,364,334,352,437,484,656,736,680,657,679,845,764,756,531,449,602,498,453,192,166,166,199,243,336,363,331,322,356,463,372,385,275,254,343,331,316,172,168,186,238,241,320,373,349,335,323,382,392,371,256,195,259,167,137,339,332,353,432,462,601,747,650,666,650,836,772,778,549,445,571,499,495,175,175,162,190,246,310,385,312,327,338,448,392,383,293,232,321,337,349,164,157,191,242,216,291,362,338,339,312,388,380,395,256,213,250,162,146,332,331,344,380,471,549,712,681,679,634,803,801,771,589,440,531,509,514,168,172,177,167,233,280,366,328,340,313,442,398,388,313,227,307,325,376,164,159,167,213,238,269,346,353,339,321,361,403,383,276,213,224,184,138,323,326,330,380,431,515,677,675,671,626,753,824,788,624,438,494,505,539,165,161,171,177,212,257,341,321,345,306,397,429,400,318,234,281,314,401,158,165,159,203,219,258,336,354,326,320,356,395,388,306,204,213,191,138,317,340,324,359,452,476,639,690,651,625,709,808,771,682,460,436,509,556,155,177,170,164,219,232,324,344,328,306,372,426,388,353,243,256,312,407,162,163,154,195,233,244,315,346,323,319,337,382,383,329,217,180,197,149,314,337,323,339,427,432,590,675,641,633,671,806,731,700,487,399,509,591,156,177,170,165,197,217,301,332,319,311,350,443,354,371,265,228,302,431,158,160,153,174,230,215,289,343,322,322,321,363,377,329,222,171,207,160,295,325,323,335,408,418,528,678,617,647,653,808,738,720,509,399,486,609,149,166,174,164,181,220,265,330,303,319,343,427,375,362,289,213,290,452,146,159,149,171,227,198,263,348,314,328,310,381,363,358,220,186,196,157,290,325,332,331,360,417,490,656,631,646,621,766,761,721,539,387,436,622,143,161,177,171,173,202,243,331,313,324,314,417,379,375,303,212,265,446,147,164,155,160,187,215,247,325,318,322,307,349,382,346,236,175,171,176,280,321,312,322,359,365,460,613,625,630,613,724,773,718,577,390,392,621,144,164,158,167,182,173,230,309,305,332,301,390,400,374,304,221,234,441,136,157,154,155,177,192,230,304,320,298,312,334,373,344,273,169,158,180,293,317,322,316,341,388,406,583,669,605,612,686,763,704,628,405,349,616,147,161,169,164,165,191,209,286,335,306,304,365,407,358,336,229,209,427,146,156,153,152,176,197,197,297,334,299,308,321,356,346,292,176,140,189,276,306,343,319,335,381,369,534,660,624,631,664,776,686,655,442,332,613,137,156,174,170,160,189,184,258,326,309,319,351,426,336,352,251,198,422,139,150,169,149,175,192,185,276,334,315,312,313,350,350,303,191,134,191,263,298,339,317,345,362,363,496,659,619,636,646,765,686,659,456,333,568,130,150,174,165,168,167,193,236,333,303,324,341,405,356,340,270,192,395,133,148,165,152,177,195,170,260,326,316,312,305,360,330,319,186,141,173,248,293,327,327,331,335,355,445,657,620,618,617,737,698,670,499,321,562,123,147,167,172,171,161,183,212,331,305,321,314,404,356,351,284,188,391,125,146,160,155,160,174,172,233,326,315,297,303,333,342,319,215,133,171,315,354,448,566,507,523,579,579,486,377,312,283,419,425,271,180,117,94,149,160,214,276,229,285,300,282,235,181,162,137,226,209,153,104,79,72,166,194,234,290,278,239,279,298,251,196,150,146,194,217,118,76,38,22,277,349,412,543,554,493,566,562,542,425,329,257,370,430,320,179,124,111,124,155,197,256,250,266,289,279,269,192,176,127,201,218,168,107,76,83,153,194,215,287,304,227,277,283,273,233,153,130,169,212,152,72,48,28,259,340,412,525,583,455,557,578,557,442,341,276,332,408,362,198,126,116,117,156,188,249,258,245,291,294,269,198,191,127,180,216,190,112,81,87,142,184,224,276,325,209,266,284,288,244,150,149,152,191,172,87,45,28,260,326,392,485,586,491,533,576,588,468,364,279,303,396,377,219,137,120,119,145,180,223,268,248,297,291,284,211,196,129,165,210,197,121,89,87,141,181,212,262,318,243,236,285,304,257,168,150,138,186,180,98,48,33,271,321,367,460,601,492,555,579,579,501,366,301,284,401,370,232,136,122,125,150,170,214,279,220,316,296,281,245,173,156,142,215,190,134,85,88,146,171,197,246,322,272,239,283,298,256,193,145,142,186,180,98,51,34,285,312,373,446,572,524,528,600,593,537,387,313,274,380,381,252,143,122,134,141,177,208,267,228,300,311,282,264,179,167,133,206,198,149,85,90,151,171,196,238,305,296,228,289,311,273,208,146,141,174,183,103,58,32,303,301,381,428,553,557,546,589,594,565,437,337,253,366,396,272,146,133,147,141,180,203,258,262,293,306,289,280,193,179,125,199,210,154,95,93,156,160,201,225,295,295,253,283,305,285,244,158,128,167,186,118,51,40,312,298,352,426,531,582,549,590,603,564,469,351,260,333,376,304,163,128,154,146,172,200,251,273,290,311,296,278,214,195,122,182,206,173,96,89,158,152,180,226,280,309,259,279,307,286,255,156,138,151,170,131,67,39,353,299,354,410,501,656,617,582,624,610,481,377,271,302,370,322,175,130,179,143,165,193,242,322,309,309,313,293,225,201,129,165,196,180,100,90,174,156,189,217,259,334,308,273,311,317,256,176,142,137,174,142,75,40,406,327,355,385,494,689,671,621,642,613,504,385,304,276,381,313,191,145,199,151,166,186,238,342,332,329,326,292,248,187,156,141,210,167,119,98,207,176,189,199,256,347,339,292,316,321,256,198,148,135,171,146,72,47,422,351,354,404,475,708,712,656,657,635,543,399,321,275,356,332,208,151,209,167,158,193,229,352,351,345,341,307,272,190,169,134,197,177,132,98,213,184,196,211,246,356,361,311,316,328,271,209,152,141,159,155,76,53,429,380,332,418,452,696,760,697,655,628,575,444,337,249,347,347,211,163,207,182,157,198,212,347,367,368,335,316,288,199,181,125,192,190,127,106,222,198,175,220,240,349,393,329,320,312,287,245,156,124,155,157,84,57,472,383,329,398,454,641,810,695,643,632,582,477,343,270,323,337,239,168,214,192,158,188,214,338,390,360,331,315,287,219,193,127,180,187,144,113,258,191,171,210,240,303,420,335,312,317,295,258,150,143,143,150,95,55,470,409,329,385,438,557,809,715,625,645,616,494,365,279,294,326,261,177,210,209,155,170,215,286,400,354,326,327,299,235,196,138,163,176,161,120,260,200,174,215,223,271,409,361,299,318,317,259,169,141,131,150,100,57,469,438,342,369,419,532,820,751,653,640,613,515,376,304,266,342,246,192,207,216,155,168,209,271,425,356,340,329,294,262,180,163,136,190,148,132,262,222,187,201,210,261,395,395,313,311,319,253,196,141,130,152,98,60,484,447,351,348,422,505,760,747,682,648,620,551,392,325,258,324,259,195,219,221,164,155,209,266,392,355,348,339,301,280,186,178,131,182,154,139,265,226,187,193,213,239,368,392,334,309,319,271,206,147,127,142,105,56,460,463,360,332,425,476,718,766,711,641,626,567,441,335,230,319,273,207,203,226,172,155,198,242,376,364,373,331,316,287,201,180,123,179,160,147,257,237,188,177,227,234,342,402,338,310,310,280,240,155,107,140,113,60,423,478,381,327,384,471,653,828,691,635,627,579,476,341,255,289,268,222,194,222,188,154,176,233,340,397,358,337,314,290,224,190,127,169,151,156,229,256,193,173,208,238,313,431,333,298,313,289,252,151,128,120,117,66,406,488,413,339,377,442,580,848,718,621,640,619,493,371,260,269,263,235,197,225,208,158,167,220,299,417,360,329,328,307,239,200,135,160,147,162,209,263,205,181,210,222,281,431,358,292,312,312,254,171,125,109,116,73,379,493,439,344,354,405,538,835,737,646,638,603,512,370,284,238,276,227,195,228,222,151,161,210,274,422,349,347,329,297,265,179,160,131,154,153,184,265,217,193,193,195,264,413,388,299,309,306,247,191,124,107,122,74,354,472,459,356,330,407,532,769,758,665,642,610,535,384,303,235,262,239,183,217,231,168,143,212,274,387,361,338,333,301,277,182,169,130,151,153,171,255,228,188,187,195,258,382,397,327,309,309,258,202,134,105,111,86,352,479,487,366,324,407,486,713,781,694,638,636,552,430,305,216,264,251,178,224,232,176,154,205,246,370,371,360,328,323,287,199,166,126,157,155,174,255,255,190,170,202,240,343,410,334,310,313,265,231,139,90,107,96,324,475,506,407,333,390,470,644,835,675,628,646,555,464,317,228,229,258,155,234,232,186,163,189,232,339,401,343,330,324,284,223,180,124,142,161,169,241,274,221,170,201,238,305,434,332,298,322,271,241,137,104,87,97,302,460,502,450,331,368,460,603,838,701,608,661,589,469,342,230,214,271,149,231,226,210,158,176,232,307,417,342,316,343,290,234,189,127,132,169,153,229,276,240,173,192,228,296,421,359,292,318,299,235,153,103,82,102,270,424,504,457,349,361,431,582,830,739,631,649,583,496,341,251,200,284,121,220,229,221,162,176,222,293,417,348,337,338,284,263,169,146,117,182,149,204,275,236,187,185,209,289,413,391,294,311,299,233,172,105,83,102,278,420,509,464,362,356,424,566,793,767,650,645,603,503,351,278,199,287,140,211,231,224,171,164,221,284,404,363,334,341,295,266,177,160,114,186,138,209,278,240,191,192,203,282,389,404,316,304,308,237,174,118,85,101,162,148,177,244,247,294,279,274,267,196,212,170,200,161,130,80,59,54,78,69,88,105,123,132,146,141,127,90,109,73,98,85,65,50,35,35,84,79,89,139,124,162,133,133,140,106,103,97,102,76,65,30,24,19,173,141,170,231,240,324,295,268,290,229,207,176,190,184,133,96,55,56,82,65,78,106,115,157,153,137,134,103,110,80,91,92,69,58,32,35,91,76,92,125,125,167,142,131,156,126,97,96,99,92,64,38,23,21,173,145,157,225,247,312,307,263,303,244,218,176,194,201,142,104,54,59,79,64,72,99,119,151,160,134,140,108,116,87,89,99,79,64,30,38,94,80,85,126,128,161,147,129,163,136,101,89,105,102,64,40,24,21,175,161,135,214,269,312,331,294,322,264,214,201,188,196,154,105,56,60,80,76,59,95,122,155,150,156,153,125,106,98,86,96,87,59,38,34,95,85,76,119,147,157,181,138,169,139,108,103,102,100,67,46,18,26,173,164,128,191,277,316,355,304,307,290,225,219,183,200,147,122,59,56,86,72,62,87,122,158,165,152,155,141,98,119,78,97,81,68,41,32,87,92,66,104,155,158,190,152,152,149,127,100,105,103,66,54,18,24,165,174,139,192,282,311,360,338,300,311,239,233,176,212,161,112,69,52,88,84,62,89,120,147,168,172,150,153,107,117,77,102,91,58,50,30,77,90,77,103,162,164,192,166,150,158,132,116,99,110,70,54,19,22,180,184,140,177,284,313,379,325,297,320,251,232,176,193,179,118,79,53,94,87,64,83,127,147,186,161,150,151,112,125,83,92,89,65,53,31,86,97,76,94,157,166,193,164,147,169,139,107,93,101,90,53,26,22,181,195,150,164,266,315,374,348,298,332,254,233,185,183,202,118,80,61,106,85,68,78,122,152,182,174,143,157,114,124,94,88,97,65,50,38,75,110,82,86,144,163,192,174,155,175,140,109,91,95,105,53,30,23,178,190,172,139,252,340,359,371,318,346,282,235,206,176,193,139,86,63,103,83,82,66,117,158,179,172,163,169,129,116,107,80,94,78,49,44,75,107,90,73,135,182,180,199,155,177,153,119,99,96,99,61,37,19,196,179,191,138,233,335,374,385,328,325,310,233,228,166,204,138,97,55,102,88,88,71,116,154,174,178,164,163,149,95,129,70,102,75,58,41,94,91,103,67,117,181,200,207,164,162,161,138,99,96,102,63,39,14,212,176,197,149,221,314,355,392,352,323,327,257,238,160,205,154,90,66,104,89,93,75,106,145,155,186,174,158,160,109,125,71,100,86,49,51,108,87,104,74,115,169,200,206,178,165,167,148,113,89,105,68,41,15,210,176,201,147,216,314,364,408,362,309,359,283,254,177,188,165,96,81,107,96,96,72,100,146,161,191,167,151,169,122,138,86,94,83,56,58,103,80,105,75,116,168,203,217,195,158,190,161,116,91,94,82,40,23,233,191,206,162,218,303,355,393,400,317,359,290,246,185,186,184,99,81,115,108,98,80,103,137,171,184,190,150,170,123,129,95,90,90,61,59,118,83,108,82,115,166,184,209,210,167,189,167,117,90,96,94,38,22,231,199,204,181,184,284,393,375,395,333,364,305,241,210,174,180,116,81,108,113,99,93,88,139,184,176,185,167,173,139,121,110,79,92,66,58,123,86,105,88,96,145,209,199,210,166,191,166,120,100,95,88,50,23,240,215,200,188,174,261,347,392,405,354,344,329,230,235,158,195,119,90,105,117,104,84,88,127,172,183,195,174,170,153,101,134,66,103,64,65,135,98,96,104,86,134,175,209,210,180,174,176,129,101,92,92,55,25,230,233,196,201,184,239,330,383,416,366,325,330,246,235,153,200,137,92,103,118,104,95,92,116,158,179,198,182,164,156,107,127,71,106,74,62,127,115,92,106,92,123,172,204,218,184,161,174,139,108,82,94,63,30,212,234,197,206,178,239,322,363,419,368,309,345,264,242,178,180,149,108,99,111,115,97,89,111,155,171,202,179,153,163,119,135,87,93,80,72,113,123,82,109,89,128,167,192,217,189,156,182,145,107,91,87,69,36,208,243,200,204,174,228,281,364,398,381,312,339,269,241,180,168,156,116,100,111,118,95,86,114,134,178,189,184,153,153,118,133,93,88,83,78,108,132,82,109,88,114,147,186,209,197,159,186,151,108,87,80,73,38,191,234,196,200,189,195,276,353,378,374,327,345,282,230,205,151,161,132,88,102,112,92,93,96,134,169,177,176,171,163,128,123,105,74,90,85,103,132,84,108,96,99,142,184,201,198,156,182,154,107,100,77,71,47,178,241,205,190,204,190,268,340,374,374,345,323,299,220,226,142,166,137,95,105,109,93,88,98,132,161,175,177,178,161,142,105,125,63,93,92,83,136,96,97,116,92,136,179,199,197,167,162,157,115,101,79,73,45,170,226,215,191,212,180,254,331,362,392,349,322,302,240,215,151,160,154,83,107,107,99,92,94,119,165,164,189,179,165,148,110,114,71,88,106,87,119,108,92,120,86,135,166,198,203,170,157,154,130,101,80,72,48,171,210,222,183,223,195,246,311,363,395,350,306,322,263,218,164,136,169,75,103,106,101,96,105,113,155,165,192,172,152,159,119,123,82,75,111,96,107,116,82,127,90,133,156,198,203,178,154,163,144,95,82,61,58,164,201,227,175,224,194,241,296,375,380,361,316,319,263,223,156,140,182,69,100,107,95,99,94,115,138,187,175,178,152,161,118,127,78,79,115,95,101,120,80,125,100,126,158,188,205,183,164,158,145,96,78,61,67,165,194,232,197,210,202,230,311,370,376,361,327,333,266,216,177,126,185,69,92,103,104,90,100,117,149,179,175,170,166,167,123,120,88,64,118,96,102,129,93,120,102,113,162,191,201,191,161,166,143,96,89,62,67,135,189,239,213,202,235,243,309,377,401,381,358,333,297,219,200,120,178,54,89,105,108,96,106,130,153,185,183,175,184,170,141,108,106,55,114,81,100,134,105,106,129,113,156,192,218,206,174,163,156,111,94,65,64,142,181,238,216,191,246,239,309,373,413,412,362,320,318,233,195,126,181,58,80,109,102,97,109,129,143,183,193,185,185,167,157,112,101,61,116,84,101,129,114,94,137,110,166,190,220,227,177,153,161,121,94,65,65,69,98,128,132,168,161,146,153,132,115,119,104,148,111,87,76,49,49,40,48,57,65,79,64,71,63,71,52,59,48,68,62,45,39,29,39,29,50,71,67,89,97,75,90,61,63,60,56,80,49,42,37,20,10,65,88,119,113,158,158,145,145,143,112,116,107,128,146,89,70,56,48,39,42,62,45,76,70,67,57,71,61,47,51,57,76,48,38,33,39,26,46,57,68,82,88,78,88,72,51,69,56,71,70,41,32,23,9,65,78,119,110,150,155,142,153,129,121,118,108,114,154,90,78,49,54,32,42,62,47,66,70,69,66,61,66,52,49,51,81,50,40,28,41,32,35,57,63,84,85,73,87,68,55,66,59,63,73,40,37,21,12,65,77,104,119,139,149,159,143,151,125,118,115,96,146,105,75,55,50,31,43,51,56,59,70,74,63,66,63,52,58,43,70,59,40,30,35,34,34,53,63,80,79,85,80,85,62,66,57,53,76,46,35,25,15,64,68,98,121,131,145,163,153,144,131,109,116,100,141,112,72,58,50,32,41,46,55,60,66,71,75,62,62,51,60,45,64,65,38,32,32,32,27,52,66,71,79,92,78,82,69,58,56,55,77,47,34,26,18,68,76,87,122,121,156,162,152,159,131,106,126,99,126,128,79,63,47,37,41,41,58,51,77,65,80,65,67,52,58,46,57,70,40,34,29,31,35,46,64,70,79,97,72,94,64,54,68,53,69,58,39,29,18,69,70,82,114,120,158,152,159,149,141,117,115,105,119,138,82,57,50,34,37,38,60,50,76,70,76,60,64,65,51,48,56,69,48,29,34,35,33,44,54,70,82,82,83,89,77,52,64,57,63,69,34,28,16,69,74,77,117,115,157,145,155,159,137,131,117,111,111,140,86,55,51,39,32,41,63,48,69,65,73,67,62,67,54,52,53,73,47,32,33,30,42,36,54,67,88,80,82,92,75,64,63,59,58,67,39,23,18,76,75,70,102,122,157,150,151,151,160,138,118,120,96,137,98,58,53,41,33,36,51,57,65,70,70,67,73,67,55,62,44,65,57,35,31,35,42,34,51,65,92,80,81,84,87,71,63,58,52,72,41,23,22,85,77,63,93,124,135,160,156,168,155,152,117,118,102,130,97,59,55,51,38,33,43,56,64,76,71,80,70,71,55,64,46,59,58,35,34,34,39,30,50,68,71,84,85,88,85,81,62,54,56,71,39,24,21,91,75,70,82,131,123,170,161,161,166,146,117,126,99,128,106,58,55,49,41,35,37,63,55,79,69,85,72,74,60,60,48,57,62,33,35,42,34,35,45,68,68,91,92,76,94,72,57,66,51,71,44,25,20,83,85,77,80,122,133,156,166,178,158,149,124,124,104,116,112,62,52,42,46,41,37,64,50,75,74,91,67,71,69,56,48,58,61,39,32,41,39,36,43,58,83,81,92,87,91,78,55,68,56,58,51,23,20,88,89,78,79,128,117,167,173,177,166,147,129,128,109,109,117,69,47,41,50,39,39,68,47,79,74,91,72,73,68,58,53,53,64,39,31,47,39,39,40,60,70,88,99,86,94,74,61,70,56,56,53,30,16,91,88,87,77,108,130,160,179,175,164,163,134,124,123,95,114,73,57,35,52,42,39,54,57,70,79,83,75,77,69,56,64,46,57,42,35,56,36,45,38,54,73,90,100,92,89,86,65,68,59,49,57,31,22,89,99,84,68,98,133,157,165,181,183,156,153,113,120,103,110,76,53,31,55,43,37,47,59,72,72,84,85,72,74,52,67,44,54,48,33,58,44,41,31,51,74,85,93,97,98,84,79,61,53,59,56,28,20,81,112,84,75,94,145,154,177,183,168,170,150,113,125,103,106,87,59,29,55,44,38,47,66,65,85,76,85,72,76,56,62,45,52,54,34,52,57,40,37,47,79,89,92,107,83,98,74,57,63,58,54,33,25,84,92,89,82,90,139,161,169,180,177,171,153,125,117,103,105,89,71,26,43,47,45,44,72,67,80,77,91,73,69,71,54,45,53,53,43,58,49,42,37,46,67,94,89,103,86,98,84,54,63,58,52,36,28,84,89,92,86,86,136,150,185,177,180,169,151,135,120,108,96,97,74,33,35,51,44,44,71,68,83,72,95,73,73,74,55,49,48,58,45,51,54,41,42,42,65,82,102,105,85,96,78,61,65,59,48,39,29,89,96,97,93,84,126,152,183,195,185,170,167,133,126,112,83,93,83,35,34,51,46,45,64,74,76,89,91,80,76,73,56,57,41,52,53,54,62,46,47,39,62,78,107,106,94,90,91,60,70,55,42,41,30,92,89,105,93,72,113,153,184,171,194,177,152,147,113,112,87,91,86,38,30,54,46,39,54,69,86,76,88,85,70,75,51,61,39,51,58,54,59,51,47,33,59,84,98,95,106,92,82,72,62,51,48,40,28,84,92,110,86,77,100,158,179,187,188,174,164,144,111,117,83,82,87,36,34,47,43,38,46,77,85,85,82,90,72,74,56,54,36,45,60,48,58,63,43,39,54,81,94,102,106,84,92,70,55,63,47,37,27,84,101,98,95,87,91,154,183,193,197,177,169,152,115,109,84,82,86,43,32,41,49,45,41,81,87,89,87,89,73,73,67,47,38,45,60,41,69,57,46,42,50,73,96,104,110,88,96,79,48,62,46,37,26,86,107,98,99,95,88,139,169,211,199,175,177,148,126,110,89,69,91,47,42,39,49,42,44,74,81,96,85,91,74,71,67,49,43,37,64,39,65,59,50,53,44,65,88,115,114,84,103,77,59,61,46,32,27,82,102,101,97,98,87,136,172,205,205,189,175,164,127,116,92,66,89,46,40,41,46,47,44,73,85,88,94,92,78,75,68,52,52,34,59,36,62,60,51,51,43,63,87,117,111,97,97,89,59,64,40,32,30,87,119,102,112,98,82,124,197,218,188,206,186,158,153,106,94,62,90,50,52,38,54,49,41,63,98,106,91,91,84,71,78,49,57,30,60,37,67,64,58,49,41,61,99,112,97,115,102,87,75,57,37,32,30,90,116,102,122,100,89,110,193,217,214,218,175,177,148,109,96,66,94,50,53,39,50,53,45,55,100,109,102,93,86,75,77,57,50,32,61,40,63,63,72,47,44,55,93,108,112,125,89,102,71,52,46,34,33,51,74,74,85,98,93,122,149,106,78,46,73,114,123,117,67,56,33,27,38,44,42,42,43,55,50,30,32,21,37,49,56,54,34,39,19,24,36,30,43,56,50,67,99,76,46,25,36,65,67,63,33,17,14,42,68,61,71,89,104,101,136,108,85,62,55,107,114,119,85,53,35,22,36,31,36,40,41,50,48,30,29,28,26,46,49,56,41,34,22,20,32,30,35,49,63,51,88,78,56,34,29,61,65,63,44,19,13,33,63,67,72,82,95,90,132,115,84,62,63,96,117,112,93,55,40,19,32,36,38,41,32,40,49,34,25,27,30,37,56,53,44,30,29,14,31,31,34,41,63,50,82,80,59,35,33,59,61,59,49,24,11,31,53,70,62,85,82,94,109,124,90,73,59,85,112,119,100,51,45,18,25,35,37,42,27,42,42,38,25,31,26,36,52,57,46,27,31,13,28,35,25,43,55,52,67,86,65,42,33,49,60,62,54,24,14,26,44,63,57,80,82,84,96,121,93,83,52,77,109,112,108,56,50,15,20,34,36,37,29,36,37,37,26,32,22,37,49,50,51,31,34,11,24,29,21,43,53,48,59,84,67,51,30,40,60,62,57,25,16,26,39,64,47,70,73,88,90,110,97,81,58,64,106,109,105,64,50,12,21,34,27,32,27,36,34,35,28,30,24,31,44,49,52,31,35,14,18,30,20,38,46,52,56,75,69,51,34,33,62,60,53,33,15,23,32,65,61,70,77,80,83,109,93,82,68,54,95,110,106,65,44,10,16,34,32,33,30,28,40,37,26,27,30,24,43,46,52,35,30,13,16,31,29,37,47,52,43,72,67,55,38,30,52,64,54,30,14,20,29,62,64,60,72,74,82,104,104,76,64,60,85,107,104,70,52,5,18,31,34,27,30,21,36,36,33,21,29,29,36,50,48,36,35,15,11,31,30,33,42,53,46,68,71,55,35,31,49,57,56,34,17,21,29,45,68,53,70,77,72,97,112,76,73,54,76,102,105,81,51,11,17,20,35,28,22,27,28,35,34,21,34,26,36,49,50,40,34,10,12,25,33,25,48,50,44,62,78,55,39,28,40,53,55,41,17,23,27,35,55,53,66,70,68,85,114,79,78,52,67,102,97,87,57,11,16,15,26,31,23,21,25,32,36,23,33,23,37,44,48,46,34,12,11,20,29,22,43,49,43,53,78,56,45,29,30,58,49,41,23,20,25,29,51,53,61,72,66,87,101,92,79,57,59,99,93,85,61,10,13,15,25,27,21,26,23,33,31,30,32,26,30,42,47,46,34,10,12,14,26,26,40,46,43,54,70,62,47,31,29,57,46,39,27,17,22,23,46,53,52,72,60,80,98,87,83,69,49,95,92,87,59,11,12,14,20,25,19,29,16,34,28,27,35,32,25,43,45,45,33,6,10,9,26,28,33,43,44,46,70,60,48,37,24,52,47,42,26,21,17,27,38,61,46,69,55,76,99,91,79,72,58,87,88,82,65,14,7,18,18,29,18,31,14,29,32,28,30,32,29,39,47,43,36,7,10,9,20,32,28,38,41,47,67,63,49,40,29,48,41,39,29,18,19,23,33,59,41,68,56,72,93,100,84,78,55,73,90,82,69,9,12,15,13,27,18,25,17,24,32,30,30,36,25,36,48,42,37,9,7,8,20,32,23,43,39,48,61,70,54,42,30,37,42,40,32,15,18,20,29,52,40,68,62,62,86,102,89,86,61,63,93,78,88,8,11,11,13,21,20,26,20,19,31,31,31,40,24,38,42,38,51,7,7,9,16,31,20,42,42,43,55,71,58,46,37,25,51,40,37,17,15,19,29,51,37,61,58,60,87,95,92,79,67,55,87,82,100,11,9,8,16,23,17,23,20,16,32,31,32,34,31,28,40,46,54,6,6,11,13,28,20,38,38,44,55,64,60,45,36,27,47,36,46,18,21,17,23,46,50,47,68,52,85,95,85,85,70,51,83,78,104,12,12,8,13,22,21,18,24,13,36,31,27,36,33,23,41,39,61,6,9,9,10,24,29,29,44,39,49,64,58,49,37,28,42,39,43,12,21,16,22,42,57,40,58,54,80,92,91,80,68,57,75,76,112,8,13,7,13,19,25,14,24,14,27,32,30,29,32,28,36,40,67,4,8,9,9,23,32,26,34,40,53,60,61,51,36,29,39,36,45,15,18,20,18,38,58,43,64,54,75,89,96,86,77,55,62,77,106,9,9,11,11,15,25,24,24,16,26,32,32,31,36,26,32,40,64,6,9,9,7,23,33,19,40,38,49,57,64,55,41,29,30,37,42,20,20,21,13,39,54,45,71,57,69,85,102,88,85,58,53,74,104,10,12,11,7,18,24,24,28,19,21,32,36,29,39,23,35,32,62,10,8,10,6,21,30,21,43,38,48,53,66,59,46,35,18,42,42,24,18,17,16,41,49,49,63,58,65,86,98,98,82,61,52,68,100,12,12,9,6,19,25,20,25,20,20,33,40,33,33,30,27,36,56,12,6,8,10,22,24,29,38,38,45,53,58,65,49,31,25,32,44,25,19,18,16,34,47,55,54,61,65,85,94,93,88,66,53,65,100,12,14,9,7,17,21,24,22,21,20,34,38,30,35,34,24,36,56,13,5,9,9,17,26,31,32,40,45,51,56,63,53,32,29,29,44,31,15,19,20,30,41,65,51,58,62,88,100,98,88,68,55,59,99,13,12,11,7,16,19,32,21,21,22,31,44,31,33,33,28,33,59,18,3,8,13,14,22,33,30,37,40,57,56,67,55,35,27,26,40,33,16,18,22,24,42,62,44,57,59,86,93,108,87,77,54,51,96,15,13,9,10,12,19,29,23,20,19,32,38,38,31,34,27,29,64,18,3,9,12,12,23,33,21,37,40,54,55,70,56,43,27,22,32,31,23,19,18,25,40,53,48,64,59,77,92,108,98,84,59,48,96,15,13,11,8,12,16,24,27,23,20,31,35,40,31,38,26,32,59,16,10,8,10,13,24,29,21,41,39,46,57,68,67,46,33,16,37,30,28,18,16,27,40,47,51,55,56,76,91,104,99,85,63,45,95,13,15,11,7,12,18,24,22,21,20,30,35,43,33,32,31,26,63,17,13,7,9,15,22,23,29,34,36,46,56,61,66,53,32,19,32,62,76,90,112,101,102,116,117,101,87,78,69,104,100,89,54,43,34,31,31,46,68,54,52,55,63,42,40,34,35,53,49,49,36,27,21,31,45,44,44,47,50,61,54,59,47,44,34,51,51,40,18,16,13,64,69,84,98,108,98,113,117,113,97,80,60,97,101,90,68,39,41,35,30,42,59,60,51,57,59,49,46,36,28,52,47,50,45,26,25,29,39,42,39,48,47,56,58,64,51,44,32,45,54,40,23,13,16,54,66,81,102,109,100,115,111,111,95,90,64,87,99,94,66,37,40,31,25,40,62,60,52,58,54,51,45,42,29,45,46,49,45,25,28,23,41,40,39,48,47,56,56,59,49,47,35,41,52,44,21,12,12,53,62,72,101,115,91,105,123,106,96,92,74,80,99,96,65,36,43,31,26,34,57,64,41,58,64,52,42,44,35,41,49,49,42,25,30,22,36,38,44,51,50,47,59,54,54,48,39,39,50,47,23,11,13,53,57,74,94,116,103,104,111,116,104,98,73,74,97,94,75,33,46,27,28,34,49,68,49,54,60,58,49,43,34,37,52,46,43,25,28,26,29,40,45,48,54,50,51,58,55,55,39,37,45,48,32,8,18,50,60,66,98,108,111,78,120,126,101,103,74,68,105,91,77,42,46,25,30,28,49,64,57,44,59,69,46,44,36,34,55,42,44,26,29,25,30,38,49,44,54,34,61,57,55,59,38,34,50,49,33,16,17,49,63,66,91,115,113,92,115,119,114,106,83,63,99,92,79,44,43,24,35,32,43,69,57,50,59,65,53,49,38,32,51,44,45,28,30,25,28,34,48,46,56,42,56,54,61,57,45,31,48,48,34,16,13,43,55,63,81,109,112,101,103,110,122,104,90,74,84,85,91,47,37,21,32,25,40,66,55,49,53,57,60,51,43,36,45,43,46,32,28,22,23,38,41,43,57,52,50,53,62,53,47,38,39,42,45,15,9,42,58,68,72,102,112,97,113,120,110,102,100,80,77,92,85,54,38,23,33,32,33,56,56,44,59,62,56,49,47,40,42,46,46,33,27,19,25,36,39,46,56,53,54,58,54,53,53,40,35,46,39,21,11,40,52,67,73,92,116,114,103,118,122,106,103,84,74,91,81,62,38,23,29,32,32,44,65,53,53,63,61,53,44,42,40,48,46,33,29,17,23,35,41,48,51,61,50,55,61,53,59,42,34,43,35,29,9,48,55,69,71,91,119,118,97,124,129,109,109,84,65,101,81,66,42,24,29,35,30,39,67,55,49,62,70,51,49,41,36,54,45,37,29,24,26,34,41,52,52,63,48,62,59,58,60,43,29,47,36,29,13,60,60,63,72,85,112,125,113,124,124,115,111,89,66,93,84,66,50,32,28,34,32,42,58,58,56,58,64,53,56,40,35,51,43,38,35,28,32,29,40,43,54,67,57,66,60,62,55,49,31,42,41,28,15,72,52,69,66,86,102,126,124,124,116,127,108,97,71,81,83,76,47,38,26,39,27,43,53,63,59,61,55,59,55,46,34,45,43,41,35,34,26,30,39,43,49,63,65,63,61,68,53,51,37,36,40,35,12,75,48,70,69,75,110,119,114,126,126,119,107,99,77,78,79,72,54,35,25,36,32,35,56,63,50,61,64,61,52,46,36,41,43,43,37,40,23,34,37,40,54,56,64,65,62,58,55,53,41,37,36,29,17,82,48,59,73,81,101,120,124,123,124,127,110,102,78,74,76,66,59,40,27,28,36,38,55,67,54,62,60,66,56,45,38,37,44,39,39,42,21,31,37,43,46,53,70,61,64,61,54,57,40,37,32,27,20,81,53,63,74,78,87,118,122,119,133,134,111,107,76,63,88,63,64,45,21,30,38,36,48,65,55,60,65,70,53,49,39,33,49,36,43,36,32,33,36,42,39,53,67,59,68,64,58,58,37,30,39,27,21,80,60,64,68,77,80,115,127,112,129,124,120,111,77,61,82,67,68,40,27,29,36,38,38,64,60,58,64,65,56,55,38,29,49,36,45,40,33,35,32,39,42,51,67,54,65,59,64,56,39,32,33,31,23,62,71,55,68,73,82,99,130,119,132,111,131,106,82,69,71,57,76,30,34,27,37,30,40,51,64,62,66,53,62,55,43,34,43,32,52,32,37,28,31,43,42,48,66,57,66,58,69,51,39,35,28,25,24,59,80,56,68,79,71,95,128,117,145,128,131,109,97,75,68,57,75,31,33,29,35,36,37,49,67,61,67,64,66,53,48,42,40,34,49,28,47,27,33,43,34,46,61,56,78,64,65,56,49,33,28,23,26,49,83,56,58,75,80,83,110,130,133,128,135,111,105,72,63,60,79,24,40,29,31,37,40,40,64,61,66,64,71,55,50,39,37,39,52,25,43,27,27,38,40,43,46,69,67,64,64,56,55,33,26,21,27,48,80,63,62,78,75,84,105,131,120,135,141,119,105,74,55,66,74,21,42,26,30,43,37,41,61,64,62,69,76,59,47,44,34,41,47,27,38,37,32,35,38,43,44,67,58,66,65,60,58,30,21,25,27,53,81,62,64,70,80,81,110,125,116,133,127,127,106,79,57,64,74,26,41,29,28,39,42,38,62,62,62,66,67,62,53,42,34,40,49,27,40,33,36,31,38,43,48,63,54,67,60,65,53,37,23,24,25,51,65,75,58,68,77,75,97,137,116,137,118,140,99,85,66,60,77,24,32,38,24,41,34,40,52,65,65,71,59,67,50,44,36,37,50,27,33,37,34,27,43,35,45,72,51,66,59,73,49,41,30,23,27,54,56,82,58,66,75,73,103,130,122,136,124,133,103,93,70,59,74,27,29,38,26,36,39,36,49,69,65,65,65,69,51,45,39,32,53,27,27,44,32,30,36,37,54,61,57,71,59,64,52,48,31,27,21,53,52,83,55,65,85,90,97,123,135,131,126,140,108,101,65,58,78,25,25,40,26,33,49,39,52,71,65,67,64,74,55,47,37,31,55,28,27,43,29,32,36,51,45,52,70,64,62,66,53,54,28,27,23,53,55,83,58,67,88,91,101,114,135,117,140,141,120,100,66,47,83,22,30,43,24,32,53,46,54,61,64,61,71,73,60,44,41,27,54,31,25,40,34,35,35,45,47,53,71,56,69,68,60,56,25,20,29,6,8,14,8,13,16,22,30,19,16,12,13,22,29,26,13,18,11,1,3,5,4,7,7,7,15,8,11,4,5,9,13,14,6,11,10,5,5,9,4,6,9,15,15,11,5,8,8,13,16,12,7,7,1,7,7,11,13,13,10,21,32,18,20,9,12,18,27,29,11,14,17,3,2,4,6,7,7,5,15,8,10,4,7,8,10,17,6,7,14,4,5,7,7,6,3,16,17,10,10,5,5,10,17,12,5,7,3,9,8,11,16,17,7,25,29,23,17,17,15,22,25,34,14,15,18,3,2,4,5,11,3,5,13,12,9,6,6,9,10,19,8,6,15,5,5,7,11,7,3,20,16,11,9,11,9,13,15,14,7,9,3,11,6,6,21,19,13,27,28,30,16,15,11,21,22,28,17,15,19,3,2,2,7,9,5,10,10,16,7,7,4,10,7,14,8,8,15,8,4,4,14,10,8,17,18,14,9,8,7,11,15,14,9,7,4,14,6,6,19,16,15,23,31,28,18,15,9,19,19,29,19,13,18,7,1,2,7,7,4,8,12,13,8,8,2,8,8,13,9,6,13,7,5,4,12,9,11,15,19,15,10,7,7,11,11,16,10,7,5,10,10,6,14,21,17,19,33,30,16,20,7,14,21,29,21,11,18,5,4,1,5,9,7,8,12,13,7,10,1,8,6,13,11,7,10,5,6,5,9,12,10,11,21,17,9,10,6,6,15,16,10,4,8,9,9,7,9,19,23,14,30,35,21,21,7,13,18,25,21,10,15,4,4,2,3,8,11,6,7,17,11,8,3,7,6,9,12,6,9,5,5,5,6,11,12,8,23,18,10,13,4,6,12,16,9,4,6,5,10,8,12,21,22,16,27,34,23,17,15,15,19,21,27,13,14,3,4,3,6,8,12,7,7,14,14,8,5,8,7,7,14,8,9,2,6,5,6,13,10,9,20,20,9,9,10,7,12,14,13,5,5,4,9,7,7,23,18,17,24,30,27,17,15,10,21,16,25,14,17,2,4,3,3,8,10,7,9,11,14,9,6,4,9,5,13,7,12,2,5,4,4,15,8,10,15,19,13,8,9,6,12,11,12,7,5,2,10,6,9,18,16,19,20,26,28,17,20,9,18,17,23,15,19,2,5,1,4,7,9,6,8,9,12,9,9,3,7,6,11,8,13,0,5,5,5,11,7,13,12,17,16,8,11,6,11,11,12,7,6,5,6,7,7,20,23,18,21,26,33,18,23,12,14,20,21,16,17,2,4,2,2,10,10,6,6,9,14,8,11,4,7,5,10,8,11,3,2,5,5,10,13,12,15,17,19,10,12,8,7,15,11,8,6,8,5,7,8,14,23,20,11,26,31,25,22,12,13,18,22,17,18,4,4,2,2,8,9,7,5,7,13,12,9,5,7,7,8,9,11,4,1,5,6,6,14,13,6,19,18,13,13,7,6,11,14,8,7,6,4,7,7,12,20,19,14,23,30,25,16,17,14,15,15,22,17,2,3,2,2,6,7,8,6,6,10,14,7,7,7,7,5,11,10,4,1,5,5,6,13,11,8,17,20,11,9,10,7,8,10,11,7,9,5,5,6,7,22,13,15,20,24,28,20,19,9,18,12,20,19,4,3,2,2,3,9,5,5,5,9,12,10,8,3,11,3,10,13,5,2,3,4,4,13,8,10,15,15,16,10,11,6,7,9,10,6,11,4,6,6,9,18,16,22,20,28,31,24,21,7,17,15,21,19,6,2,4,2,3,8,8,10,7,11,13,11,10,1,9,6,10,12,5,2,2,4,6,10,8,12,13,17,18,13,11,6,8,9,11,7,7,8,4,7,7,17,19,19,16,28,31,23,27,9,15,15,18,18,6,2,3,2,2,8,10,8,5,10,12,10,14,3,9,5,9,11,1,6,1,5,5,9,9,11,11,18,19,13,13,6,6,10,9,7,6,9,4,7,9,15,18,19,13,28,29,26,26,11,13,15,20,16,5,3,3,2,3,7,9,8,7,8,10,13,11,5,8,6,9,9,1,6,1,5,6,8,9,11,6,20,19,13,15,6,5,9,11,7,9,10,4,7,7,12,21,16,17,27,29,29,22,15,11,14,9,22,7,4,3,3,2,5,8,9,9,6,9,15,10,5,7,7,4,14,2,6,1,4,5,7,13,7,8,21,20,14,12,10,4,7,5,8,7,11,5,6,9,13,20,14,19,22,29,32,22,17,11,13,10,22,5,6,3,2,2,5,8,6,10,6,10,13,11,6,5,8,3,14,2,5,2,4,7,8,12,8,9,16,19,19,11,11,6,5,7,8,5,10,4,6,10,9,17,16,20,21,27,35,23,19,10,11,12,20,3,6,1,3,2,3,7,9,9,8,8,13,11,8,2,8,6,12,2,4,3,3,8,6,10,7,11,13,19,22,12,11,8,3,6,8,7,7,9,4,11,7,15,19,17,16,27,33,22,22,9,8,12,19,3,7,2,2,3,1,7,11,8,6,9,12,10,11,1,6,6,12,4,0,7,2,8,6,8,8,9,10,18,21,12,11,8,2,6,7,7,8,9,4,9,12,17,16,22,13,26,34,24,22,9,7,12,17,3,7,2,2,2,4,7,7,10,7,9,10,12,8,3,5,5,11,4,1,7,2,7,8,10,9,12,6,17,24,12,14,6,2,7,6,8,8,8,5,7,11,10,22,15,17,26,26,28,21,12,9,11,16,4,6,2,3,2,3,6,9,7,9,7,8,15,9,3,5,5,10,4,2,6,2,5,8,4,13,8,8,19,18,13,12,9,4,6,6,9,7,9,4,9,10,9,21,11,19,21,28,27,20,13,8,10,12,4,5,4,3,4,3,5,10,4,9,5,10,13,10,4,3,6,8,5,2,5,1,5,7,4,11,7,10,16,18,14,10,9,5,4,4,11,9,11,4,9,12,9,18,16,19,17,30,27,20,14,8,9,14,5,4,6,3,5,5,4,10,7,8,6,9,11,10,5,1,6,9,6,5,5,1,4,7,5,8,9,11,11,21,16,10,9,7,3,5,7,10,8,6,7,10,10,18,21,14,16,26,34,20,21,8,8,17,4,4,6,2,5,4,1,11,9,5,5,7,15,9,9,1,6,12,3,6,2,4,2,6,9,7,12,9,11,19,19,11,12,7,2,5,19,28,47,83,73,64,71,73,67,66,51,47,56,55,59,43,23,24,9,10,17,48,43,29,32,30,31,31,20,18,32,24,26,29,15,18,10,18,30,35,30,35,39,43,36,35,31,29,24,31,33,14,8,6,22,25,40,67,75,78,66,76,70,63,63,41,53,54,56,51,27,26,9,12,15,33,39,46,31,28,30,32,24,17,27,23,27,30,16,19,13,13,25,34,36,32,35,48,40,31,39,24,26,31,29,21,11,7,20,24,27,71,78,75,62,82,70,63,71,52,48,59,60,50,29,22,10,11,11,32,40,41,28,27,31,31,28,19,17,32,26,30,18,14,10,13,16,39,38,34,34,55,39,32,43,33,31,27,34,19,11,8,19,25,27,61,77,83,58,81,70,65,74,53,46,57,52,56,29,22,8,12,11,24,42,40,26,34,26,31,32,20,18,33,19,34,18,14,11,13,16,37,35,43,32,47,44,34,42,33,28,24,33,22,11,8,29,19,34,54,78,78,67,78,78,69,68,53,52,55,52,49,33,23,14,9,13,19,42,41,30,33,30,31,32,21,20,33,22,24,23,16,15,10,21,35,36,37,37,45,48,38,36,32,32,22,30,25,10,7,33,20,34,46,73,77,74,71,83,71,69,54,47,53,54,48,35,24,17,7,15,18,36,38,32,34,34,27,34,24,19,28,25,23,25,18,16,13,19,28,37,39,42,37,49,44,35,30,28,25,29,25,10,6,38,19,28,42,76,81,80,69,79,76,66,62,44,57,47,48,39,26,20,9,12,17,37,39,36,32,30,29,34,23,19,27,21,26,25,17,18,10,16,25,39,42,44,37,49,47,32,39,25,30,26,22,14,9,40,22,28,31,79,84,77,65,86,80,67,69,52,49,50,45,36,25,22,12,11,14,37,40,34,31,32,35,32,29,22,16,30,24,22,17,18,10,17,17,42,44,43,34,54,45,35,40,30,33,20,21,14,8,42,25,29,29,64,87,86,67,90,77,68,78,55,47,52,40,41,26,22,13,13,13,28,39,38,30,37,29,30,36,22,16,31,17,25,17,20,12,16,16,36,48,48,37,53,48,38,42,33,31,21,23,16,9,45,32,20,32,57,90,80,69,79,80,72,71,56,58,53,36,41,30,28,15,11,12,23,41,34,32,33,31,32,34,21,22,32,17,22,20,17,17,9,20,34,49,46,37,46,49,40,37,35,36,21,19,19,10,40,38,21,31,52,85,88,78,73,93,72,76,59,52,53,38,41,32,26,19,10,13,21,39,36,36,33,40,29,37,24,20,28,19,22,21,14,19,11,18,31,46,52,42,40,53,43,39,35,32,25,19,19,11,32,40,21,26,47,81,75,86,73,85,79,73,69,46,59,34,37,40,20,21,10,11,18,37,28,38,34,33,33,39,24,19,29,17,21,24,12,19,11,15,29,44,47,48,39,52,46,34,45,27,30,17,16,16,28,45,22,29,35,85,87,84,73,87,83,72,74,53,53,45,30,37,16,27,11,12,12,38,36,35,33,30,39,33,31,21,17,30,17,22,12,18,11,17,23,47,51,49,40,57,44,39,43,32,36,15,13,15,34,46,29,30,37,80,92,86,75,92,78,72,80,55,48,50,25,39,20,30,15,13,15,35,41,34,37,35,33,33,36,22,16,31,11,26,14,16,14,17,22,45,51,52,38,57,45,39,44,33,32,19,14,13,39,44,40,20,34,73,97,82,76,81,86,74,79,54,57,52,27,37,21,30,22,9,12,32,47,37,32,32,35,34,36,21,22,30,12,24,18,14,18,11,22,41,50,45,44,49,51,40,43,33,35,22,15,13,38,36,43,23,31,62,94,84,79,72,95,75,78,60,50,52,33,36,21,23,24,11,13,26,46,33,35,33,37,32,38,25,20,27,17,24,17,13,19,12,18,36,48,51,44,39,58,43,40,35,30,25,16,12,37,36,47,23,34,52,92,76,92,73,84,85,69,69,43,57,28,38,22,21,30,11,15,21,45,34,40,32,29,38,36,27,19,26,16,25,15,15,17,12,19,31,47,42,52,41,55,47,33,42,24,31,12,13,39,35,49,25,33,37,91,84,90,70,86,84,70,67,53,49,35,37,19,17,32,13,15,15,47,36,37,30,30,38,31,30,22,16,25,24,20,18,17,12,18,22,44,48,53,40,56,46,39,37,31,33,10,13,35,38,46,28,36,34,86,88,88,72,84,84,73,76,51,43,40,35,13,19,29,14,17,11,45,39,37,32,34,36,33,34,21,15,25,24,22,19,17,14,19,23,41,49,51,40,50,48,40,42,30,28,15,11,35,41,41,38,30,35,77,95,84,72,76,86,78,74,50,51,46,35,16,20,26,21,14,10,38,43,41,29,29,37,35,34,21,20,26,24,19,21,15,17,16,25,39,52,43,43,47,49,43,40,29,31,20,11,34,40,35,44,26,35,66,90,91,72,69,92,82,70,61,42,48,34,13,21,22,25,11,14,30,42,42,32,30,38,35,35,26,17,23,21,21,19,13,19,15,21,36,48,49,40,39,54,47,35,35,25,25,13,28,39,38,44,26,37,51,99,78,86,72,83,87,69,64,38,52,35,11,20,21,25,11,16,21,49,35,40,32,32,36,36,25,19,23,22,17,19,17,19,15,21,30,50,43,46,40,51,51,33,39,19,29,13,27,40,35,46,28,33,40,98,88,85,70,81,81,71,63,47,45,38,14,16,18,29,11,13,15,53,39,34,31,30,37,30,28,23,15,28,13,24,17,17,17,20,25,45,49,51,39,51,44,41,35,24,30,10,30,31,38,47,29,35,36,89,86,92,72,79,79,72,71,44,41,40,19,12,19,29,13,14,14,49,38,35,30,33,34,32,32,21,16,28,11,19,19,18,16,21,22,40,48,57,42,46,45,40,39,23,25,12,27,36,43,42,44,30,35,87,89,87,76,81,84,76,67,47,45,38,14,17,20,27,23,11,17,42,40,39,30,32,36,33,32,19,21,22,13,19,23,15,21,19,18,45,49,48,46,49,48,43,35,28,24,16,28,42,47,38,46,28,37,76,91,95,77,77,88,77,65,54,38,41,13,19,24,23,22,10,21,36,43,41,31,36,35,31,33,22,18,22,15,23,23,15,24,18,16,40,48,54,46,41,53,46,32,32,20,19,34,47,58,85,77,87,81,92,84,72,70,63,98,75,90,72,45,46,16,24,31,41,34,47,31,41,39,34,34,34,46,31,46,42,24,32,18,23,27,44,43,40,50,50,45,38,36,29,51,44,44,30,21,14,32,48,49,74,87,76,84,79,90,76,69,58,96,78,86,76,51,37,13,21,27,35,41,36,41,34,41,33,34,26,50,36,39,43,31,24,19,27,22,39,46,40,43,45,49,43,35,32,46,42,47,33,20,13,27,42,54,74,85,77,85,78,86,77,75,61,86,84,89,74,57,38,8,21,29,33,44,33,44,31,39,37,36,28,45,38,42,41,33,25,19,21,25,40,41,43,41,46,47,40,39,33,41,46,47,33,23,13,28,38,54,73,84,68,87,70,92,83,73,60,76,94,76,79,51,38,10,20,29,35,40,33,44,26,41,38,38,23,42,38,38,43,31,23,18,18,25,38,44,35,43,44,51,45,35,37,34,56,38,36,20,15,22,38,48,66,85,69,79,84,83,89,75,63,68,94,71,78,54,47,6,18,25,36,39,31,40,34,39,41,40,24,37,43,30,41,33,29,16,20,23,30,46,38,39,50,44,48,35,39,31,51,41,37,21,18,21,31,53,57,74,71,74,81,86,91,74,67,61,98,74,77,56,42,5,13,28,29,38,29,36,35,40,42,34,29,35,49,29,37,34,26,16,18,25,28,36,42,38,46,46,49,40,38,26,49,45,40,22,16,19,30,48,59,66,78,67,81,81,88,77,70,53,92,72,72,58,40,6,11,23,33,29,33,31,41,35,41,34,34,23,50,29,33,34,26,13,19,25,26,37,45,36,40,46,47,43,36,30,42,43,39,24,14,20,27,41,57,64,73,68,80,76,89,77,73,59,78,75,75,55,49,7,7,21,33,30,32,31,40,30,41,38,34,26,42,31,35,33,31,13,20,20,24,34,41,37,40,46,48,39,39,33,36,44,40,22,18,22,24,37,52,65,70,62,83,70,93,81,73,56,76,86,67,64,46,11,6,20,28,31,32,30,39,24,43,38,38,21,44,36,33,37,32,11,18,17,24,34,38,32,44,46,50,43,35,35,32,50,34,27,14,21,23,35,49,66,64,63,74,83,74,84,77,61,64,85,68,62,56,9,5,17,25,37,24,27,35,33,38,40,42,23,36,40,29,33,38,12,18,18,24,29,40,36,39,50,36,44,35,38,28,45,39,29,18,18,23,31,56,60,68,68,71,84,82,92,71,70,59,84,72,60,60,6,8,11,30,34,30,28,33,33,41,41,33,31,34,42,26,30,43,12,15,20,26,26,38,40,38,51,41,51,38,39,25,42,46,30,17,14,25,34,46,60,65,65,67,87,76,91,82,69,56,78,70,58,70,5,8,12,24,36,27,27,29,39,36,42,34,35,25,46,26,26,49,9,17,22,22,24,38,38,38,48,40,49,48,34,31,32,44,32,21,13,25,28,42,53,57,61,70,74,77,79,89,74,62,64,66,57,69,4,8,8,24,32,17,28,30,35,35,38,44,33,27,39,28,27,47,9,17,20,18,21,40,33,40,39,42,41,45,41,35,25,38,30,22,15,27,26,42,47,56,62,61,75,72,89,91,74,55,61,69,48,71,2,11,6,24,25,21,30,28,32,32,44,39,39,21,39,29,22,51,13,16,20,18,22,35,32,33,43,40,45,52,35,34,22,40,26,20,23,21,23,38,43,47,56,63,66,79,78,93,76,60,56,64,51,68,5,8,8,18,23,23,20,27,25,36,42,43,40,23,33,33,22,44,18,13,15,20,20,24,36,36,41,43,36,50,36,37,23,31,29,24,23,17,21,30,53,44,51,65,62,76,73,96,69,68,57,67,42,67,7,6,8,9,26,21,20,28,24,33,37,46,31,30,33,34,19,45,16,11,13,21,27,23,31,37,38,43,36,50,38,38,24,33,23,22,18,17,24,32,43,48,48,60,64,78,73,87,78,71,54,66,43,69,7,6,8,9,20,26,18,21,26,37,35,41,33,34,25,40,19,44,11,11,16,23,23,22,30,39,38,41,38,46,45,37,29,26,24,25,18,15,23,27,40,48,47,54,64,69,78,77,83,71,58,54,47,59,9,4,8,7,21,26,17,17,28,31,37,36,40,33,26,33,22,40,9,11,15,20,19,22,30,37,36,38,41,41,43,38,32,21,25,19,20,15,19,26,35,46,48,57,55,70,66,83,85,70,52,52,55,49,8,5,7,6,19,22,18,21,24,29,30,41,37,37,20,35,26,34,12,10,12,20,16,24,30,36,31,41,36,42,48,33,32,17,29,15,17,21,14,20,35,40,49,48,60,64,70,71,93,66,56,50,48,48,6,6,4,7,16,15,24,15,26,25,33,37,43,36,23,30,24,29,11,15,10,13,19,25,25,33,34,39,37,34,50,30,33,20,24,19,14,28,17,18,26,42,41,55,63,59,70,73,92,62,64,50,53,43,7,10,4,7,8,19,20,22,24,22,31,39,42,29,30,28,29,27,7,18,13,11,18,23,21,33,39,37,39,34,50,33,34,22,24,16,17,30,15,20,27,34,39,53,58,62,71,77,83,73,64,52,55,42,10,13,4,6,6,14,21,21,20,25,35,38,40,30,34,24,35,23,7,17,11,14,21,20,18,32,38,37,36,39,43,43,30,28,20,19,13,23,17,21,26,32,39,46,52,61,67,81,74,79,62,56,42,48,8,11,5,5,5,16,19,17,19,26,30,39,33,34,31,26,26,28,5,12,12,16,21,16,20,29,33,35,37,42,41,45,31,30,16,20,13,20,20,20,23,30,39,47,53,59,71,70,80,86,62,51,43,49,9,9,8,6,4,15,15,19,21,27,26,34,38,35,32,21,30,28,4,11,12,14,19,15,24,28,32,32,45,36,42,51,30,30,13,21,11,16,21,20,22,28,41,44,48,63,64,79,74,91,60,51,46,47,9,7,8,7,7,12,16,21,15,28,22,36,39,39,33,21,26,27,2,9,13,13,15,16,25,23,33,35,42,43,35,52,27,30,20,20,14,15,22,18,23,23,41,39,51,55,61,78,77,89,58,53,46,52,10,8,8,5,8,8,19,15,19,23,22,34,41,38,26,27,24,30,4,7,14,13,15,15,22,24,32,32,39,44,36,51,32,26,22,22,29,41,29,31,36,64,67,52,42,29,43,31,56,54,36,34,19,15,13,19,13,19,12,29,35,26,18,11,19,14,29,27,22,21,13,11,16,22,16,12,24,35,32,26,24,18,24,17,27,27,14,13,6,4,26,40,33,34,28,51,65,59,42,35,46,31,54,50,43,33,17,16,10,20,15,19,10,24,33,29,19,16,19,15,23,25,26,24,10,12,16,20,18,15,18,27,32,30,23,19,27,16,31,25,17,9,7,4,25,40,40,26,30,44,64,66,38,37,40,37,49,47,49,31,24,16,5,24,16,13,12,20,31,32,20,15,16,17,21,23,30,20,16,12,20,15,23,13,18,23,33,34,17,21,23,19,27,23,19,11,8,4,20,37,40,25,33,47,64,60,50,41,34,45,43,52,54,27,30,19,3,23,15,14,15,20,29,27,29,16,14,22,19,28,32,17,19,14,17,14,25,11,18,27,35,33,21,25,20,23,24,24,22,10,11,5,21,28,45,25,38,44,68,59,54,41,37,48,36,52,57,29,31,18,5,18,19,11,22,17,32,28,29,20,13,24,17,28,32,17,19,13,16,10,26,14,16,27,36,31,25,21,24,24,19,24,25,12,12,5,20,26,43,32,40,36,59,59,60,42,45,49,31,53,50,35,29,20,6,13,21,15,22,11,30,29,27,20,16,25,13,28,29,20,19,13,14,13,22,17,18,25,29,30,33,22,29,24,18,25,21,15,10,7,33,21,34,34,44,42,61,62,65,45,47,50,31,48,49,42,30,20,13,10,16,14,22,17,30,29,29,21,19,23,16,22,26,26,22,12,20,11,18,20,22,25,31,33,36,24,28,27,15,26,23,16,8,8,30,24,34,37,34,50,63,68,69,43,46,48,38,44,43,42,29,25,12,7,19,13,16,23,32,32,30,21,22,19,18,21,23,27,20,17,18,17,15,24,18,27,31,36,39,22,24,29,20,23,20,15,9,8,32,22,34,35,31,48,60,70,60,51,46,42,42,39,47,43,22,32,15,7,18,12,13,21,26,33,25,28,21,18,21,17,27,28,15,22,17,15,16,23,18,27,34,37,35,23,25,24,21,22,20,15,7,10,27,28,27,39,30,43,65,71,64,53,47,45,45,35,48,43,24,28,12,11,15,14,12,19,28,34,29,27,23,16,24,15,27,27,15,20,15,17,12,25,18,24,37,37,35,26,24,29,21,20,21,16,9,8,19,28,22,36,34,42,54,65,64,60,45,52,43,33,51,39,31,25,10,11,11,15,15,18,22,32,29,27,23,21,22,13,28,25,19,18,9,17,11,21,19,24,32,33,35,33,22,31,21,20,23,14,12,7,25,37,19,32,40,37,53,68,71,60,45,54,45,34,45,39,38,27,16,15,9,15,19,15,23,31,33,28,20,26,19,15,22,22,25,21,9,22,10,17,21,22,30,37,38,32,25,28,26,19,23,17,13,6,24,42,23,30,42,32,43,67,79,71,41,52,47,38,41,41,36,24,15,22,6,16,18,13,22,32,38,32,18,28,18,15,21,24,23,17,9,20,17,14,24,19,21,35,41,39,23,24,29,23,20,17,13,7,20,40,27,32,40,34,41,65,85,68,51,48,50,44,36,45,40,24,10,23,9,15,17,18,21,30,41,29,26,24,21,18,15,28,25,16,10,17,18,17,23,16,20,35,44,39,25,24,29,26,21,17,15,8,26,35,33,30,45,39,35,61,81,74,55,46,49,47,35,44,37,27,12,21,12,15,18,22,17,28,43,34,27,22,19,22,13,28,21,17,14,14,21,15,27,17,18,33,38,40,28,24,30,25,22,16,16,10,30,30,31,26,47,41,43,59,74,76,65,43,48,49,36,45,27,35,15,18,11,12,20,21,23,27,41,34,29,20,21,22,13,28,18,22,15,12,20,14,27,20,20,32,33,42,36,23,27,27,23,17,9,13,27,25,37,20,46,40,41,51,73,82,63,47,49,50,35,40,28,36,12,16,18,9,21,16,22,23,35,40,31,20,26,20,14,24,17,25,15,9,19,11,25,24,19,28,38,42,32,27,23,30,21,16,11,11,26,22,37,21,36,47,39,44,71,83,74,46,41,52,37,38,31,39,12,13,21,5,19,17,17,21,34,39,35,21,23,21,14,20,19,27,14,9,16,16,17,30,22,23,37,44,39,25,18,31,23,18,12,12,25,16,34,27,32,45,32,42,71,82,67,52,46,44,45,32,38,38,11,10,20,10,14,16,16,21,31,39,31,26,21,20,19,15,23,26,14,6,14,17,18,29,16,21,40,43,36,26,25,24,26,17,15,12,18,20,30,32,25,54,32,36,61,77,73,56,46,47,49,35,37,37,11,11,18,13,12,21,15,17,25,38,33,29,20,19,24,12,23,25,7,9,12,19,13,33,17,19,36,39,40,27,26,28,25,23,14,12,18,26,22,27,29,43,38,41,55,72,70,64,46,46,45,32,39,35,10,14,13,11,14,18,18,21,21,38,30,32,19,20,24,9,25,25,8,12,9,16,15,25,20,20,34,34,40,32,27,26,21,23,14,10,14,23,22,31,22,39,38,37,47,75,70,69,47,42,49,34,33,40,11,11,14,14,11,18,16,19,20,35,34,32,19,20,23,13,19,30,3,12,8,17,11,21,22,18,27,40,36,37,28,22,26,21,14,10,13,27,19,30,23,37,48,38,45,70,76,78,43,40,48,33,30,42,9,15,13,15,7,21,19,16,20,34,37,36,20,20,21,13,16,30,4,12,6,15,16,16,29,22,25,36,39,42,23,20,27,20,14,12,15,29,17,26,25,36,47,35,42,69,76,64,57,44,37,40,23,40,9,16,12,15,8,19,18,18,19,30,41,28,29,19,16,18,11,28,6,13,5,11,17,17,29,17,23,39,35,36,28,25,21,22,12,12,17,23,25,30,22,30,55,40,45,62,74,75,57,47,39,40,23,37,9,14,16,17,7,14,24,23,22,24,41,35,30,19,14,22,10,25,8,9,9,13,15,16,31,17,23,38,33,40,27,28,25,18,13,12,23,23,27,24,27,29,53,50,49,61,71,68,69,47,41,35,24,38,11,13,17,14,10,13,23,25,26,22,40,28,35,19,15,21,9,26,12,10,10,10,17,16,30,25,23,39,31,40,34,28,26,14,15,12,68,110,154,160,173,153,158,144,134,139,116,126,164,161,104,76,64,25,33,59,72,74,90,87,74,67,65,72,61,66,85,78,56,50,43,19,35,51,82,86,83,66,84,77,69,67,55,60,79,83,48,26,21,6,56,91,136,162,163,143,159,152,122,140,125,107,158,166,119,82,57,38,34,40,65,76,82,86,81,69,53,75,65,52,87,79,63,49,41,30,22,51,71,86,81,57,78,83,69,65,60,55,71,87,56,33,16,8,54,82,126,173,168,139,149,163,119,151,116,119,144,158,134,77,61,44,30,38,63,79,84,80,79,75,53,75,63,56,80,81,72,47,41,34,23,43,64,94,84,60,70,88,67,76,54,64,64,77,63,30,19,10,57,79,116,170,154,154,157,155,130,143,131,117,124,172,128,80,58,43,25,41,55,81,73,86,80,77,60,67,73,54,69,89,68,47,38,37,32,38,61,89,81,68,77,78,70,76,58,63,55,83,60,33,20,6,56,74,112,167,170,162,157,154,157,136,137,115,124,166,133,81,59,47,20,36,57,76,80,82,82,74,74,69,70,56,66,90,65,49,42,39,36,38,55,91,90,80,75,80,83,67,67,59,58,76,68,32,17,8,54,68,108,159,163,173,157,162,169,125,140,120,117,160,146,81,57,50,17,31,55,72,75,81,91,77,74,60,75,62,58,86,72,49,42,39,37,37,53,87,88,92,66,85,95,65,65,58,59,74,74,32,15,11,54,69,96,157,171,183,150,173,167,133,149,123,112,149,150,87,53,54,22,35,42,76,79,85,88,84,75,59,82,65,54,85,71,48,40,44,32,34,54,81,92,98,62,89,92,74,67,58,58,64,79,39,13,10,69,68,85,133,178,188,152,166,171,140,158,120,121,137,143,109,43,52,30,31,40,65,79,85,84,87,78,60,78,68,56,79,70,62,32,44,39,37,45,68,99,103,68,79,93,80,80,52,65,58,73,47,11,8,77,65,89,123,174,162,168,176,178,145,152,130,120,122,149,111,47,53,40,26,48,55,85,69,87,88,83,66,70,74,55,71,75,61,31,44,37,39,41,68,89,93,81,88,95,79,82,56,65,51,74,50,16,9,80,63,80,117,170,164,171,179,167,158,148,134,111,125,148,115,55,54,46,23,39,55,75,80,79,88,75,74,72,71,54,70,84,57,38,47,34,40,41,62,95,84,92,91,92,84,76,63,57,55,64,58,17,7,97,61,77,111,163,164,184,180,178,173,135,140,111,118,140,126,56,57,49,23,37,53,71,80,82,97,81,72,61,77,59,61,80,67,39,46,48,38,40,58,92,84,102,83,97,101,74,63,52,57,60,59,17,11,107,67,75,100,165,179,199,162,190,174,139,143,115,116,137,123,63,55,49,28,37,44,78,79,92,93,87,75,60,79,63,56,85,62,41,46,58,39,38,56,87,100,107,69,103,99,79,64,52,60,52,61,22,9,102,79,73,88,148,179,198,163,183,183,142,155,118,121,126,119,84,53,52,35,36,38,74,74,96,87,89,81,59,78,67,57,76,64,52,47,50,44,37,50,74,105,102,76,94,102,83,77,51,64,50,55,32,6,107,83,71,93,137,170,178,174,194,177,147,153,129,119,111,123,90,56,45,44,30,49,66,72,84,87,92,81,61,75,75,57,68,69,55,49,62,39,41,44,71,98,94,87,102,96,86,78,54,62,43,54,35,7,118,90,67,89,125,154,177,190,192,170,168,147,137,106,117,121,92,58,56,48,27,43,64,67,91,85,91,75,75,76,73,55,65,78,51,51,62,42,40,46,61,87,86,105,101,95,93,71,64,51,52,43,41,7,125,105,62,86,122,169,172,195,182,186,170,136,145,104,113,114,107,62,58,53,25,43,62,80,83,89,89,81,73,63,83,56,58,75,62,55,67,52,37,43,60,89,89,106,93,105,97,73,62,48,55,39,45,7,121,120,70,80,108,152,185,206,173,194,173,143,152,111,114,112,109,65,55,60,30,43,48,78,84,96,90,83,77,64,85,60,59,74,62,53,66,60,40,37,60,74,101,110,83,111,96,79,67,51,55,38,47,12,125,119,82,78,97,147,182,202,178,191,175,143,160,122,112,108,96,77,54,64,36,39,43,77,80,97,89,90,79,63,81,70,56,69,58,60,71,55,46,39,54,70,102,105,89,101,96,80,79,52,56,39,38,17,110,130,89,80,109,131,189,181,193,192,181,142,155,132,119,104,95,76,49,63,49,35,57,65,87,90,95,93,84,62,76,76,58,67,57,53,61,67,40,45,52,66,102,91,98,99,97,80,79,56,61,37,38,23,103,128,97,77,96,133,168,179,202,196,175,163,144,135,104,110,99,72,47,62,52,30,46,73,73,88,91,97,78,75,74,71,54,65,66,46,56,66,45,47,50,60,95,91,111,99,97,88,70,64,50,45,33,26,106,129,114,76,93,126,180,175,211,187,188,169,133,139,108,104,96,87,52,58,58,31,44,67,81,80,95,97,84,76,62,80,60,58,59,60,54,71,56,45,49,59,99,95,116,90,104,93,71,59,48,46,37,27,103,122,125,79,88,108,163,190,209,180,186,162,133,137,113,106,92,91,47,55,64,33,47,51,77,86,97,96,82,75,62,79,62,58,59,59,56,67,61,46,41,57,86,104,112,84,104,87,71,58,51,48,33,32,103,127,112,86,82,103,139,193,205,170,184,168,137,142,118,106,96,90,46,56,58,37,40,49,69,82,99,88,86,77,61,74,68,57,59,63,57,71,54,49,42,54,70,111,106,82,98,91,76,68,50,49,37,27,107,116,120,86,83,105,134,188,182,190,182,182,137,145,120,109,84,97,46,49,58,47,32,54,67,80,90,94,87,84,61,72,71,59,52,66,61,67,62,39,51,51,67,108,92,96,95,98,76,73,49,50,32,31,93,111,127,97,80,95,135,171,187,203,183,170,159,134,126,98,85,101,37,49,58,55,30,47,70,75,94,92,87,73,77,70,67,55,53,72,56,62,69,42,50,48,65,96,93,111,96,97,82,64,59,43,32,29,82,109,124,114,80,99,122,187,181,209,171,187,167,127,130,97,80,107,35,51,52,60,32,50,62,84,85,98,85,84,76,62,76,56,47,80,47,58,72,54,48,49,60,103,96,111,86,103,91,65,54,41,33,27,7,13,8,4,4,17,11,15,5,7,10,6,13,13,13,6,4,2,3,7,4,2,2,11,2,5,2,4,5,3,6,8,5,2,3,1,4,6,4,2,2,6,9,10,3,3,5,3,7,5,8,4,1,1,4,10,13,3,5,13,15,9,9,7,9,6,9,13,15,6,7,3,2,5,6,2,2,8,7,null,5,3,6,3,3,6,8,2,4,2,2,5,7,1,3,5,8,9,4,4,3,3,6,7,7,4,3,1,4,11,12,3,7,9,17,8,11,9,7,5,12,11,14,9,5,5,2,5,6,2,3,6,9,null,5,3,4,3,5,5,7,4,2,4,2,6,6,1,4,3,8,8,6,6,3,2,7,6,7,5,3,1,4,7,11,5,4,10,15,11,12,8,8,6,11,12,12,12,5,5,2,2,5,3,2,5,9,1,5,4,4,2,6,5,8,4,2,4,2,5,6,2,2,5,6,10,7,4,4,4,5,7,4,8,3,1,2,7,11,6,4,6,16,10,13,6,8,9,7,13,11,13,4,5,null,4,5,3,2,3,10,1,4,2,5,4,4,6,7,6,2,4,2,3,6,3,2,3,6,9,9,4,3,5,3,7,4,7,2,1,2,6,7,11,3,6,14,13,15,4,8,10,5,13,12,12,5,6,0,3,4,5,1,3,8,4,4,2,4,5,3,6,8,6,2,4,2,3,3,6,2,3,6,9,11,2,4,5,2,7,4,6,3,2,2,5,11,11,3,6,13,14,10,10,8,9,6,10,11,13,6,7,0,2,5,4,2,2,8,6,0,6,3,6,3,4,6,8,2,5,2,3,6,7,1,4,5,8,10,4,5,3,3,6,5,5,4,2,2,5,11,11,3,6,9,15,8,12,10,7,5,13,9,10,9,6,0,2,5,4,2,2,5,7,0,5,4,4,3,6,5,5,4,5,2,3,6,7,1,4,4,8,8,7,6,3,2,7,4,5,5,1,1,4,9,9,5,5,10,13,12,12,7,7,6,10,10,10,9,5,1,2,2,5,3,3,5,7,1,5,4,4,2,6,5,6,4,4,0,2,7,4,2,2,5,6,11,7,3,3,4,4,5,4,5,1,1,2,10,9,7,5,7,17,10,14,5,7,9,6,13,8,8,4,1,0,4,6,3,2,4,10,1,6,2,5,4,4,6,5,5,3,0,2,6,3,4,3,3,7,9,8,3,2,5,2,7,3,3,1,1,2,8,8,11,5,8,14,12,15,8,7,10,6,12,9,8,5,1,0,3,6,5,2,4,7,4,5,5,4,5,3,7,6,5,3,0,2,5,2,6,3,4,7,8,10,3,3,5,3,5,3,3,2,5,1,6,10,10,4,8,15,12,10,14,7,9,7,9,11,8,7,2,0,2,7,4,3,3,7,5,1,9,3,6,3,4,7,5,5,3,1,4,3,6,1,5,8,7,9,5,4,3,4,5,4,3,2,5,1,6,10,12,4,8,11,16,9,15,10,7,6,13,8,7,9,1,1,3,5,7,3,3,5,8,1,7,5,4,4,6,5,5,6,4,0,3,5,5,1,5,6,8,8,8,5,3,2,7,3,2,3,5,2,5,8,12,5,7,12,15,13,12,11,7,7,11,9,10,8,1,1,3,2,8,3,4,6,8,2,5,6,4,3,6,5,6,5,4,1,2,6,4,2,3,6,7,11,7,5,3,4,5,4,4,3,4,4,4,9,10,8,6,9,19,10,17,10,9,11,7,12,8,9,0,2,2,4,7,3,3,5,11,1,7,5,6,5,4,6,5,5,4,2,2,5,3,5,3,4,8,9,10,5,3,6,3,6,3,4,6,5,3,9,10,11,6,9,15,13,19,11,9,12,6,12,7,11,0,3,1,4,7,6,2,5,8,5,7,6,5,6,3,7,5,5,6,2,2,5,3,5,4,4,7,8,12,5,4,6,3,5,2,6,5,5,3,7,11,11,5,10,15,15,12,18,11,10,7,9,9,12,0,2,2,3,7,5,3,4,7,8,1,11,5,6,4,4,6,7,5,3,1,4,4,6,2,6,8,7,11,7,6,4,3,5,3,5,6,5,3,6,11,13,4,8,12,19,11,18,12,9,4,12,8,13,1,1,3,3,5,8,3,3,6,10,1,9,7,4,3,6,5,8,5,4,0,3,6,5,1,5,6,9,10,9,5,5,1,6,3,5,4,5,4,5,11,11,7,7,12,17,13,16,10,9,7,10,8,8,1,1,3,3,4,7,5,4,6,8,2,7,7,5,3,5,5,5,3,4,1,2,7,4,2,3,6,9,11,9,3,4,4,5,3,3,4,4,5,4,11,10,8,6,9,20,10,18,9,9,10,6,11,6,3,0,3,2,6,6,5,3,5,10,1,7,4,6,5,3,6,3,1,4,2,2,5,4,3,3,4,10,9,11,5,3,5,3,5,3,6,5,4,3,10,8,11,5,9,17,11,16,9,8,10,4,11,7,3,0,2,1,5,6,6,2,5,8,4,5,4,5,5,2,7,3,3,5,2,2,5,2,5,3,4,9,7,11,5,3,5,2,4,4,6,4,5,2,8,9,10,4,9,15,13,10,14,9,10,4,7,8,3,0,2,1,4,6,5,3,4,7,6,1,8,4,6,2,4,5,3,4,3,1,4,3,5,1,5,8,7,9,6,5,4,2,3,3,4,5,5,2,5,10,11,3,8,12,15,8,16,11,9,2,10,4,2,1,1,2,2,5,6,3,3,6,8,1,6,6,4,2,6,3,2,4,4,0,3,5,5,0,5,6,7,7,10,5,5,0,4,1,6,4,5,3,4,10,8,8,6,12,16,11,14,10,8,5,8,7,3,1,1,2,2,4,4,7,3,6,8,2,5,6,5,2,5,5,3,3,4,1,2,6,4,1,3,6,8,9,9,4,3,3,3,2,5,5,4,4,3,11,8,10,5,11,19,8,17,9,7,7,4,11,1,3,0,2,1,6,5,7,2,5,10,1,6,3,5,3,3,7,4,2,4,2,2,5,3,3,3,6,9,7,11,6,2,4,1,4,4,6,5,4,3,9,8,12,6,11,17,10,19,10,7,8,3,12,2,3,0,2,1,4,7,6,2,5,9,4,8,3,5,4,2,8,2,3,5,2,2,5,1,6,4,6,8,6,11,7,2,4,1,4,22,30,55,55,47,40,35,44,35,52,39,40,45,39,40,25,19,26,14,11,23,34,25,15,17,17,17,22,17,17,18,20,25,15,11,20,8,19,32,21,22,25,18,27,18,30,22,23,27,19,15,10,8,6,16,27,43,57,43,41,41,36,45,42,41,33,52,38,38,27,22,26,10,13,14,31,26,17,20,16,19,17,20,15,20,19,20,19,13,20,6,14,29,26,17,24,21,20,26,25,21,18,32,19,18,8,9,6,17,24,35,60,40,48,29,35,41,43,45,34,50,40,35,28,23,26,8,11,9,31,25,20,13,17,18,18,20,16,22,18,15,20,16,19,9,13,26,29,15,28,16,18,23,25,25,18,28,22,20,8,7,7,18,21,33,53,44,50,30,36,41,34,47,37,44,47,30,34,21,25,8,10,9,26,28,23,11,18,18,16,19,17,21,21,13,23,15,20,10,11,24,27,16,27,19,18,23,18,28,20,23,26,17,11,6,5,15,20,29,47,49,40,33,33,40,32,51,39,40,46,30,36,20,26,6,10,11,19,29,19,13,16,15,17,20,17,18,18,16,25,12,22,9,10,18,28,20,21,20,17,25,15,31,22,22,28,14,11,8,4,15,17,30,42,58,32,31,33,36,40,49,39,32,48,35,34,18,29,5,9,12,15,32,13,15,15,16,16,20,17,14,20,17,22,12,24,10,8,18,27,26,19,16,18,20,24,29,22,18,28,18,12,6,5,18,16,26,43,49,33,34,26,31,41,43,40,31,51,34,31,22,27,6,10,12,12,26,17,15,11,15,16,17,20,14,19,18,17,16,21,12,6,14,31,23,16,19,15,16,25,26,20,17,32,16,14,6,6,19,19,24,29,50,35,42,24,31,38,45,41,33,47,35,29,21,26,10,10,11,7,23,20,17,9,16,16,19,20,15,21,16,12,18,19,9,9,13,22,27,15,25,15,15,22,26,21,18,26,19,17,3,7,9,22,22,30,40,34,46,25,34,40,37,43,35,42,42,26,24,22,5,11,11,9,18,20,18,9,16,16,17,19,15,20,20,11,18,16,4,11,11,21,22,14,28,16,18,24,20,24,20,22,22,15,6,6,9,20,20,27,37,36,36,31,31,39,35,49,36,39,40,26,29,21,5,10,11,11,12,20,12,11,13,15,17,20,16,17,18,14,20,14,4,10,9,16,25,16,24,20,18,24,18,29,20,22,22,12,9,7,11,17,17,28,33,44,35,33,31,39,41,48,37,32,43,28,25,23,5,7,10,12,10,23,11,13,14,17,16,20,17,13,20,15,16,16,6,10,7,16,23,21,24,20,17,22,25,28,20,19,23,13,9,7,11,17,15,25,34,36,35,35,31,34,42,44,38,32,44,30,22,23,4,7,10,12,9,19,14,14,12,17,16,18,20,13,19,17,11,17,7,10,5,13,25,17,21,21,19,17,26,26,18,19,25,13,11,6,11,16,17,23,25,37,35,43,26,36,39,46,41,33,45,30,21,23,4,8,10,10,6,18,18,16,8,18,17,20,21,12,23,14,9,17,7,8,7,13,19,19,17,27,18,18,22,26,20,21,22,16,12,6,12,11,19,22,24,29,31,44,25,34,40,38,42,37,42,32,17,23,4,5,9,11,9,12,17,18,8,16,17,19,19,14,22,15,7,18,8,6,10,11,15,17,14,26,17,18,23,19,23,23,20,17,10,5,14,12,19,19,26,29,32,35,32,30,42,38,50,36,37,34,17,26,4,4,9,11,11,10,17,15,11,15,17,20,20,16,17,16,10,18,10,8,10,8,15,19,15,20,21,15,25,18,30,20,20,18,7,8,11,10,13,16,26,24,34,26,36,31,40,41,48,36,29,36,20,26,1,5,6,9,12,9,17,9,15,16,17,19,20,17,10,18,13,16,10,5,7,7,14,15,17,17,21,15,23,22,28,19,19,18,7,10,9,10,16,12,24,23,27,25,34,33,34,43,44,35,33,38,23,25,1,5,9,6,11,6,11,12,14,15,17,18,17,19,11,16,15,16,8,5,7,6,13,17,16,13,20,18,17,25,27,16,22,22,8,9,7,10,15,13,20,21,25,23,40,29,34,40,47,39,31,35,24,24,0,5,10,6,9,6,10,13,15,11,19,18,19,19,10,18,12,16,7,5,5,7,11,15,15,10,25,18,15,22,28,20,21,17,12,8,13,9,11,14,19,23,24,22,39,28,30,43,36,39,34,33,23,21,4,4,6,7,9,6,8,13,16,10,14,20,15,17,13,17,13,13,9,5,5,7,10,17,16,9,23,18,16,23,21,22,21,16,10,8,11,9,14,16,15,24,25,27,32,28,29,38,33,45,35,31,22,19,4,3,8,6,8,10,8,14,14,8,16,15,17,18,16,13,12,13,7,6,6,10,7,14,17,13,18,20,13,23,16,27,19,18,10,6,10,10,14,15,15,24,23,32,27,30,30,37,38,41,34,23,29,20,6,2,8,6,6,9,9,16,9,12,15,16,17,15,16,8,16,13,4,8,6,9,9,15,14,16,18,18,15,21,21,26,18,15,13,7,15,10,11,18,16,26,25,29,29,30,31,32,41,40,33,26,31,23,8,3,6,9,6,12,8,12,13,12,13,16,16,14,18,9,16,15,7,7,5,9,10,14,17,17,16,18,18,16,25,26,15,17,15,8,16,11,12,20,21,25,24,31,27,45,30,39,42,42,37,30,31,24,8,1,7,11,8,11,8,15,14,16,11,21,15,17,18,10,18,15,8,10,5,9,13,14,16,16,13,29,19,18,27,25,19,20,13,9,15,11,11,15,21,18,25,27,29,42,30,36,41,33,36,30,28,26,8,3,6,8,8,9,9,12,16,16,11,17,16,13,16,11,16,16,7,8,5,7,13,9,16,15,13,26,19,19,25,20,20,19,12,10,16,9,10,15,20,19,27,24,33,33,33,33,43,35,42,29,29,24,8,4,3,7,7,10,12,9,17,14,12,17,16,15,17,13,14,15,8,5,7,8,13,9,15,15,16,19,21,16,27,20,25,16,15,9,14,8,9,11,19,20,24,27,36,24,40,34,41,37,38,30,19,29,6,5,2,6,8,9,9,11,19,9,17,18,17,13,14,16,8,20,8,3,7,5,11,11,15,16,17,15,23,16,24,24,24,14,11,9,19,21,38,58,37,38,57,27,35,29,36,36,40,35,28,15,9,10,11,8,21,31,19,18,21,11,15,5,17,10,22,18,9,6,6,7,8,13,17,27,18,20,36,16,20,24,19,26,18,17,19,9,3,3,10,18,34,49,44,30,40,38,32,28,31,36,41,34,27,17,10,8,7,7,17,30,20,9,13,15,16,5,15,12,19,17,9,7,6,5,3,11,17,19,24,21,27,23,16,23,16,24,22,17,18,10,4,3,13,18,30,47,46,34,36,44,32,31,30,30,35,43,31,16,8,7,8,8,16,25,21,13,13,15,17,6,14,11,15,19,12,7,5,5,5,10,14,22,25,21,23,29,15,25,16,19,20,24,19,9,3,2,11,18,24,49,50,32,37,47,31,30,29,32,32,45,29,16,10,6,7,8,11,26,23,14,13,17,16,7,11,12,12,23,12,5,5,5,4,10,13,23,27,18,24,30,15,23,18,20,20,22,17,11,5,1,8,21,19,38,46,33,28,48,32,27,28,32,32,38,32,21,11,5,5,11,7,20,22,14,12,17,15,8,6,16,10,19,16,5,5,5,3,10,12,18,24,19,16,31,17,19,22,16,22,19,16,16,6,null,9,19,17,30,48,30,26,42,32,31,26,34,30,38,34,25,4,7,4,12,7,17,21,14,10,15,14,13,5,15,9,19,17,7,0,6,5,7,10,13,27,16,16,27,18,18,21,19,21,19,17,18,4,1,9,17,17,26,41,35,23,37,38,29,27,26,32,34,34,26,7,8,3,12,7,15,23,14,6,16,15,13,5,11,12,17,17,8,1,6,6,5,10,11,18,21,17,21,23,16,22,15,20,17,17,18,6,2,9,17,14,24,37,34,23,38,41,28,29,25,29,29,42,27,7,8,3,11,6,14,20,14,6,15,16,15,4,11,11,14,20,9,2,6,6,6,8,10,17,20,17,23,25,13,25,14,18,15,22,18,5,2,7,16,15,20,33,34,23,36,44,28,27,24,29,26,45,27,11,9,2,10,7,10,18,15,8,13,19,14,5,7,11,11,24,11,2,6,5,6,8,10,15,19,15,23,25,14,22,17,18,15,21,16,9,3,14,14,20,19,27,37,26,30,47,29,30,26,30,30,34,28,14,6,4,8,12,6,17,15,10,13,18,14,10,5,14,11,19,14,2,3,10,6,8,13,10,22,16,17,29,15,20,21,16,19,15,14,12,3,13,14,25,16,24,37,27,32,44,33,30,27,29,25,33,30,12,5,5,5,16,5,16,14,12,14,17,14,13,4,13,7,19,16,5,1,8,9,9,11,8,23,15,18,27,19,17,23,16,18,14,14,7,4,14,12,26,18,22,30,29,30,47,37,27,32,24,27,32,28,13,5,7,4,15,6,12,16,11,11,21,14,13,6,11,9,16,15,6,0,7,8,11,12,10,14,18,19,26,23,14,26,13,18,16,13,7,5,10,13,24,18,21,27,30,32,36,43,28,35,24,24,28,35,15,3,6,4,13,8,11,16,12,11,15,15,14,7,11,8,13,17,7,0,4,9,11,10,10,11,18,21,21,28,14,28,13,16,15,18,8,3,11,13,23,19,18,27,26,28,35,46,28,31,26,27,23,35,17,5,5,4,13,9,8,17,12,12,14,18,13,7,7,10,10,19,9,1,6,9,10,10,10,10,14,16,21,28,15,24,19,17,13,16,8,4,4,20,18,24,15,21,32,28,33,49,29,27,28,30,23,28,21,7,3,7,10,13,2,16,15,11,14,19,13,9,5,13,8,14,12,2,1,13,8,11,13,5,17,17,19,30,16,18,23,17,15,14,9,5,7,17,16,24,16,17,29,26,32,43,32,30,27,30,19,24,18,5,4,7,6,16,4,12,10,12,14,17,13,13,4,13,4,11,11,2,3,10,10,8,12,5,19,14,18,26,19,17,23,17,15,13,7,3,5,15,13,22,17,16,22,29,28,40,37,26,31,24,23,25,17,8,2,7,5,14,5,10,10,12,10,18,15,12,6,11,7,9,10,4,3,8,8,8,12,6,12,17,18,22,22,14,25,13,16,16,7,4,9,11,12,21,17,16,22,26,30,30,40,30,32,23,19,24,23,8,5,6,3,12,7,6,14,11,11,12,16,14,7,10,7,9,10,5,4,5,9,9,10,10,8,15,19,18,24,16,25,13,12,15,13,3,8,12,14,20,16,15,22,27,25,33,43,29,31,25,23,18,24,9,3,5,5,11,7,3,15,11,10,12,18,14,8,8,9,5,12,5,5,7,9,9,9,12,7,16,15,21,25,15,23,17,14,13,12,4,7,5,19,16,20,12,19,28,26,30,45,28,26,28,24,20,19,14,3,3,7,10,9,1,14,9,9,14,18,13,9,6,12,4,9,9,4,2,12,6,11,11,5,19,17,16,27,15,17,22,12,16,10,5,6,7,17,14,19,14,17,28,25,31,39,32,31,28,24,16,18,14,2,4,7,6,11,2,11,8,11,13,16,13,14,4,12,3,8,9,4,3,10,8,8,12,6,20,14,18,23,19,17,24,12,13,10,5,5,7,14,12,18,19,15,23,28,28,37,35,29,31,20,17,17,15,2,4,6,4,11,4,8,10,10,10,17,14,13,5,9,6,7,10,3,3,8,8,7,15,7,13,18,18,20,21,16,26,11,11,10,5,3,7,12,12,20,18,12,22,30,31,31,35,31,26,23,13,12,18,2,3,6,3,10,6,3,12,10,11,12,14,14,6,10,5,5,11,1,4,6,9,10,12,9,10,20,20,19,21,17,20,13,8,7,7,3,6,13,13,18,16,14,22,30,25,33,38,28,24,19,19,10,14,2,2,5,4,10,7,5,14,9,10,12,16,14,6,6,9,4,8,1,4,8,9,8,9,9,8,21,15,21,22,14,18,13,10,6,6,4,4,8,19,15,18,15,20,29,26,30,36,29,22,20,20,9,13,2,1,4,6,9,8,7,14,7,9,14,14,14,6,4,10,3,8,2,3,4,13,6,10,8,6,22,17,16,22,15,16,16,10,6,5,7,2,6,16,14,18,17,17,34,25,34,30,30,25,23,18,9,12,4,0,3,6,5,10,6,12,10,10,14,11,12,11,3,9,3,7,3,2,3,10,9,8,11,5,24,15,20,19,18,14,20,9,6,5,363,406,516,621,551,386,579,713,606,548,362,253,273,252,220,169,131,98,171,225,232,310,262,191,331,356,294,255,164,121,127,130,108,104,89,67,192,181,284,311,289,195,248,356,312,293,198,131,145,121,111,65,42,31,331,400,495,593,630,438,494,718,706,563,438,259,266,256,224,180,133,115,152,216,230,293,305,215,279,384,339,278,186,126,131,128,116,96,86,83,179,184,265,300,325,223,215,334,367,285,252,133,135,128,108,84,47,32,335,411,491,610,654,504,531,731,767,567,527,288,268,265,221,192,129,125,169,212,237,297,322,244,298,388,376,278,231,131,137,128,126,96,82,97,166,199,253,313,332,260,233,343,391,289,297,157,131,137,94,96,47,29,358,412,483,595,663,593,550,704,824,607,562,339,238,275,225,183,144,135,186,201,255,287,318,310,281,383,398,299,256,153,119,136,126,92,91,103,172,211,228,308,345,283,269,321,426,308,306,186,119,139,99,91,53,32,378,428,480,605,693,656,558,723,846,666,614,381,257,257,245,190,150,142,192,201,260,282,344,340,273,397,419,323,296,176,126,125,134,98,97,109,186,227,220,323,349,316,285,326,427,343,318,205,131,132,111,92,53,33,415,464,491,614,719,758,644,729,903,748,638,450,252,282,229,208,146,138,218,206,266,285,359,392,319,398,457,361,309,202,125,126,131,112,97,101,197,258,225,329,360,366,325,331,446,387,329,248,127,156,98,96,49,37,532,503,545,608,739,813,758,727,985,843,663,504,292,273,249,220,155,153,275,226,299,282,366,419,392,391,511,408,324,222,135,146,130,127,97,114,257,277,246,326,373,394,366,336,474,435,339,282,157,127,119,93,58,39,523,505,564,593,733,833,786,763,949,918,673,577,310,282,254,217,166,153,274,227,301,293,353,418,396,407,499,455,327,257,147,150,124,131,96,114,249,278,263,300,380,415,390,356,450,463,346,320,163,132,130,86,70,39,530,519,564,594,701,819,822,790,912,979,712,632,374,259,268,212,159,166,280,242,286,307,321,388,444,394,488,479,339,309,176,134,138,124,94,123,250,277,278,287,380,431,378,396,424,500,373,323,198,125,130,88,65,43,555,550,576,587,710,813,853,811,919,982,787,677,417,271,251,222,163,170,293,261,284,315,324,390,453,409,496,487,376,335,200,135,129,130,97,121,262,289,292,272,386,423,400,402,423,495,411,342,217,136,122,92,66,49,545,576,576,588,694,785,858,803,914,1024,840,689,479,262,277,206,184,163,276,297,266,323,326,392,430,409,483,527,399,345,215,133,136,121,115,113,269,279,310,265,368,393,428,394,431,497,441,344,264,129,141,85,69,50,599,595,568,600,682,777,906,838,885,1046,902,716,536,293,271,249,186,182,314,307,260,323,321,387,470,427,459,538,449,350,243,140,146,134,121,128,285,288,308,277,361,390,436,411,426,508,453,366,293,153,125,115,65,54,652,611,598,619,659,818,959,884,922,1042,965,731,601,328,271,250,184,185,332,312,281,321,324,397,502,445,488,538,485,352,279,152,149,130,121,128,320,299,317,298,335,421,457,439,434,504,480,379,322,176,122,120,63,57,680,634,614,608,650,793,1018,993,911,1027,1035,754,629,392,246,257,195,171,358,319,295,304,348,378,505,534,457,540,510,360,308,186,132,142,124,117,322,315,319,304,302,415,513,459,454,487,525,394,321,206,114,115,71,54,664,650,630,597,635,790,1022,1015,919,1014,1031,812,680,425,253,243,215,181,337,322,309,294,345,380,515,528,459,538,509,381,342,207,135,131,137,126,327,328,321,303,290,410,507,487,460,476,522,431,338,218,118,112,78,55,710,664,643,613,635,766,1009,1111,927,1010,1077,880,693,490,261,266,201,198,357,322,326,285,351,375,512,578,468,530,552,411,344,228,141,139,125,140,353,342,317,328,284,391,497,533,459,480,525,469,349,262,120,127,76,58,710,703,646,602,618,810,950,1146,972,961,1097,914,736,539,283,253,220,209,353,355,324,276,333,404,465,606,485,512,565,448,352,252,147,143,124,154,357,348,322,326,285,406,485,540,487,449,532,466,384,287,136,110,96,55,677,730,641,600,636,751,964,1131,1002,971,1078,993,734,592,314,254,216,216,321,371,314,283,333,396,473,575,516,508,562,497,344,277,158,150,119,155,356,359,327,317,303,355,491,556,486,463,516,496,390,315,156,104,97,61,650,730,661,590,637,682,936,1133,1061,957,1048,1046,760,619,369,234,230,217,287,378,321,287,316,370,471,560,573,475,550,517,357,304,183,133,136,154,363,352,340,303,321,312,465,573,488,482,498,529,403,315,186,101,94,63,653,728,686,604,602,665,928,1112,1100,959,1034,1028,820,663,403,246,213,235,296,376,336,299,290,360,463,568,575,487,550,510,387,332,202,135,123,165,357,352,350,305,312,305,465,544,525,472,484,518,433,331,201,111,90,70,625,768,691,628,611,631,860,1097,1154,973,1017,1072,880,662,452,237,227,233,285,372,337,318,280,343,449,543,611,489,543,554,418,330,216,134,131,169,340,396,354,310,331,288,411,554,543,484,474,518,462,332,236,103,96,64,620,746,728,643,594,619,839,1027,1198,1006,1004,1086,918,709,488,263,228,248,289,358,360,320,274,323,440,495,629,507,528,564,462,346,233,142,140,171,331,388,368,323,320,296,399,532,569,499,476,522,456,363,255,121,88,77,625,735,776,643,592,622,799,1012,1208,1025,996,1072,979,709,539,295,224,244,294,346,386,312,275,309,431,494,628,526,517,564,496,344,263,151,142,174,331,389,390,331,317,313,368,518,580,499,479,508,483,365,276,144,82,70,570,713,779,692,588,590,712,964,1214,1092,958,1047,1038,742,577,340,208,264,268,320,385,338,282,285,392,485,615,583,474,554,527,356,297,174,127,187,302,393,394,354,306,305,320,479,599,509,484,493,511,386,280,166,81,77,541,696,768,720,610,578,710,995,1188,1143,981,1037,1026,809,640,368,226,256,256,318,377,354,295,273,396,517,603,605,492,555,515,393,331,198,137,179,285,378,391,366,315,305,314,478,585,538,489,482,511,416,309,170,89,77,570,674,802,717,620,578,678,947,1188,1209,972,1034,1065,853,649,419,230,277,281,309,384,349,312,261,380,480,604,636,484,550,552,414,332,220,136,199,289,365,418,368,308,317,298,467,584,573,488,484,513,439,317,199,94,78,278,341,362,440,470,595,574,454,349,318,307,334,397,335,234,183,131,91,146,180,164,206,231,287,266,210,159,163,163,178,200,153,125,106,92,61,132,161,198,234,239,307,307,244,190,155,144,156,197,182,109,77,39,30,257,355,344,432,463,522,646,504,381,340,300,290,407,359,238,195,125,107,134,186,163,195,228,250,317,234,179,168,155,163,197,176,119,106,83,78,123,169,181,237,235,272,329,270,202,172,145,127,210,183,119,89,42,29,269,328,342,433,461,502,641,545,414,349,309,288,377,375,254,203,121,114,131,174,167,193,223,240,319,256,195,172,155,163,189,185,121,112,78,81,138,154,175,240,237,261,321,289,219,177,154,126,188,190,133,90,43,33,221,316,364,413,466,485,656,563,447,356,334,287,351,370,271,211,129,114,110,172,179,187,228,226,327,266,211,167,167,163,174,189,128,118,81,76,111,144,185,226,238,259,329,297,236,189,167,124,177,181,143,93,48,38,267,309,355,388,462,492,648,572,485,366,326,290,344,367,296,216,130,121,134,162,185,167,224,239,323,268,231,171,165,155,179,180,148,120,76,79,133,147,170,221,238,253,325,304,254,195,161,135,165,187,148,96,54,42,243,307,350,366,453,513,606,617,507,377,336,304,294,403,311,211,146,121,121,156,183,163,211,253,296,294,245,166,174,165,161,193,158,115,82,84,122,151,167,203,242,260,310,323,262,211,162,139,133,210,153,96,64,37,253,290,359,352,454,504,587,657,517,407,340,298,285,390,329,214,148,121,120,149,192,164,207,247,288,318,243,191,172,153,162,189,170,115,83,87,133,141,167,188,247,257,299,339,274,216,168,145,123,201,159,99,65,34,259,288,336,355,441,543,585,663,557,429,367,305,282,359,352,219,157,117,123,141,181,175,196,270,281,333,249,199,180,150,159,181,179,118,89,83,136,147,155,180,245,273,304,330,308,230,187,155,123,178,173,101,68,34,356,310,341,369,452,621,653,710,603,477,375,342,282,336,354,243,169,114,173,149,186,182,201,314,311,352,267,215,177,169,160,170,184,128,101,78,183,161,155,187,251,307,342,358,336,262,198,173,122,166,170,115,68,36,370,341,322,376,439,652,691,751,641,530,391,340,295,328,342,271,180,117,169,173,170,200,198,337,320,364,284,238,183,173,152,174,177,150,110,79,201,168,152,176,241,315,371,387,357,292,208,167,143,154,165,121,70,38,370,342,328,379,431,636,757,739,693,578,396,347,310,289,371,287,175,128,154,180,168,204,197,319,357,350,319,254,178,181,161,158,187,154,107,81,216,162,160,175,234,317,400,389,374,324,218,166,149,131,184,133,68,47,459,380,340,391,457,685,826,798,772,633,453,369,326,284,363,298,181,133,176,197,175,210,203,328,383,368,353,267,201,186,168,159,190,161,110,80,283,183,165,181,254,357,443,430,419,366,252,183,158,125,173,137,71,53,513,402,357,394,464,698,892,818,796,695,500,399,327,290,336,311,186,148,211,204,178,210,225,321,427,381,369,287,220,193,167,165,178,170,106,95,302,198,179,184,239,377,465,437,427,408,280,206,160,125,158,141,80,53,534,432,363,395,483,684,911,849,823,729,529,411,372,297,319,324,198,161,235,208,186,214,248,319,430,395,387,299,226,194,187,166,169,180,112,105,299,224,177,181,235,365,481,454,436,430,303,217,185,131,150,144,86,56,540,452,397,378,471,678,911,874,846,743,591,443,365,297,316,316,218,169,245,212,200,202,253,314,449,400,395,317,260,198,183,164,174,170,130,105,295,240,197,176,218,364,462,474,451,426,331,245,182,133,142,146,88,64,568,480,384,381,440,646,904,931,817,767,642,446,361,323,276,352,235,170,269,214,202,198,243,296,444,433,376,344,268,194,188,175,160,190,132,103,299,266,182,183,197,350,460,498,441,423,374,252,173,148,116,162,103,67,577,486,396,353,422,589,884,933,811,797,629,457,362,325,272,346,244,177,281,223,207,179,236,282,437,433,372,367,273,207,183,171,156,195,135,115,296,263,189,174,186,307,447,500,439,430,356,250,179,154,116,151,109,62,591,506,413,355,395,556,852,969,796,792,644,471,382,327,275,325,261,187,289,231,217,176,216,289,407,459,379,372,275,217,187,170,159,183,152,120,302,275,196,179,179,267,445,510,417,420,369,254,195,157,116,142,109,67,549,521,433,360,373,534,779,935,820,811,671,474,406,347,282,303,280,212,265,249,213,179,210,287,367,451,377,384,283,218,196,181,160,171,164,137,284,272,220,181,163,247,412,484,443,427,388,256,210,166,122,132,116,75,508,526,433,394,369,488,720,922,851,797,712,528,418,332,281,292,287,220,245,260,208,196,207,263,346,457,390,377,306,243,197,171,158,171,163,147,263,266,225,198,162,225,374,465,461,420,406,285,221,161,123,121,124,73,489,542,464,386,374,463,636,911,898,785,727,568,409,346,305,253,310,229,235,272,219,201,195,257,304,451,433,370,335,248,191,183,170,155,174,150,254,270,245,185,179,206,332,460,465,415,392,320,218,163,135,98,136,79,439,553,467,423,360,447,586,848,891,779,766,584,427,368,312,246,304,260,215,267,211,216,192,246,284,415,426,373,357,249,203,186,174,148,179,165,224,286,256,207,168,201,302,433,465,406,409,335,224,182,138,98,125,95,402,575,483,447,349,424,567,835,924,779,760,636,449,390,314,251,288,286,203,281,218,234,181,229,285,408,449,376,361,277,214,191,168,151,173,185,199,294,265,213,168,195,282,427,475,403,399,359,235,199,146,100,115,101,380,545,520,462,350,397,560,777,926,803,782,651,466,396,335,261,253,303,195,264,252,232,181,231,276,373,456,387,377,285,216,193,177,161,151,199,185,281,268,230,169,166,284,404,470,416,405,366,250,203,158,100,102,104,359,531,544,450,387,394,503,727,940,840,779,671,512,418,329,264,239,318,180,262,264,220,192,222,264,342,475,392,379,300,241,201,175,159,146,204,179,269,280,230,195,172,239,385,465,448,400,371,271,217,154,105,93,114,315,531,561,486,386,370,484,655,904,885,776,697,541,407,345,289,218,342,158,262,271,232,192,204,258,313,452,428,367,325,250,201,187,170,137,216,157,269,290,254,194,166,226,342,452,457,409,372,291,206,158,119,81,126,6555,8253,10861,14937,15436,13880,13628,14583,13322,12873,10185,8377,10072,10034,8534,6086,4483,3310,3168,4062,5343,7284,7588,6918,7060,7699,7115,6658,5391,4458,5505,5763,5010,3890,3080,2439,3388,4191,5519,7653,7847,6963,6568,6884,6207,6214,4794,3919,4567,4271,3525,2196,1403,872,6170,7631,9958,13656,15684,14067,13488,14225,13720,13231,11190,8283,9400,10070,8779,6420,4566,3627,2977,3736,4930,6639,7682,6959,6989,7496,7350,6919,5829,4410,5106,5743,5203,4015,3125,2672,3193,3895,5028,7017,8002,7108,6499,6729,6370,6312,5361,3873,4294,4327,3576,2405,1441,955,5972,7354,9386,12877,15758,14300,13407,13873,14010,13064,11945,8714,9042,9991,9062,6793,4699,3916,2869,3555,4646,6284,7731,7031,6895,7377,7391,6940,6224,4659,4817,5701,5321,4239,3201,2898,3103,3799,4740,6593,8027,7269,6512,6496,6619,6124,5721,4055,4225,4290,3741,2554,1498,1018,6096,7047,8925,12339,15444,14703,13481,13772,14369,13175,12310,9440,8346,9784,9140,7111,4657,4123,2959,3364,4420,6055,7628,7277,6828,7254,7574,7038,6408,5036,4515,5554,5411,4371,3190,3060,3137,3683,4505,6284,7817,7427,6653,6518,6795,6137,5902,4404,3831,4231,3730,2740,1467,1063,6358,6879,8511,11607,15282,15059,13746,13705,14664,13313,12737,9729,8285,9641,9250,7409,4764,4291,3084,3289,4207,5739,7520,7478,6942,7171,7746,7151,6600,5232,4514,5386,5495,4513,3231,3210,3274,3590,4304,5868,7762,7581,6804,6534,6918,6162,6137,4497,3771,4255,3755,2896,1533,1081,6429,6597,8140,10867,14846,15427,13674,13701,14656,13504,12821,10360,7981,9492,9228,7655,4856,4427,3114,3168,4032,5357,7293,7709,6805,7179,7766,7279,6713,5499,4334,5330,5439,4677,3248,3308,3315,3429,4108,5510,7553,7718,6869,6522,6890,6225,6108,4861,3647,4162,3789,2978,1608,1119,6531,6500,7888,10352,14069,15482,13759,13758,14407,13813,13055,10992,8085,9109,9461,7831,5106,4580,3188,3140,3833,5139,6900,7643,6858,7204,7613,7403,6886,5814,4381,5082,5593,4800,3384,3421,3343,3360,4055,5213,7169,7839,6901,6554,6794,6410,6169,5178,3704,4027,3868,3031,1722,1159,6853,6425,7630,9771,13318,15449,13723,13591,14127,14016,12850,11600,8394,8648,9339,8018,5330,4717,3357,3112,3685,4861,6554,7619,6886,7047,7539,7423,6897,6143,4564,4755,5528,4908,3530,3514,3496,3313,3945,4910,6764,7830,6837,6544,6588,6593,5953,5457,3830,3893,3811,3110,1800,1203,6939,6505,7312,9234,12833,15427,13890,13476,13947,14369,12978,11954,9160,8031,9201,8188,5671,4840,3390,3175,3501,4585,6350,7633,6969,6955,7406,7615,7013,6318,4954,4480,5394,5051,3717,3615,3549,3330,3811,4649,6483,7794,6921,6521,6541,6754,5965,5636,4206,3551,3807,3137,1954,1225,6791,6582,7124,8760,12127,14893,13941,13432,13675,14593,13070,12272,9394,7988,9048,8297,5912,5027,3334,3226,3444,4354,6004,7325,6999,6896,7222,7760,7072,6462,5128,4499,5218,5123,3854,3763,3457,3356,3680,4406,6123,7568,6942,6536,6453,6833,5998,5810,4266,3489,3830,3174,2058,1264,6729,6643,6963,8474,11456,14424,13989,13237,13590,14552,13192,12368,10013,7676,8914,8204,6202,5176,3309,3238,3392,4208,5683,7080,7035,6745,7180,7774,7189,6581,5413,4299,5181,5031,4071,3866,3420,3405,3571,4266,5773,7344,6954,6492,6410,6778,6003,5787,4600,3377,3733,3173,2131,1310,6893,6730,6883,8366,11108,13900,14235,13315,13619,14359,13482,12518,10537,7711,8526,8378,6339,5403,3399,3292,3346,4093,5549,6825,7074,6811,7182,7705,7313,6732,5705,4296,4909,5166,4149,4009,3494,3438,3537,4273,5559,7075,7161,6504,6437,6654,6169,5786,4832,3415,3617,3212,2190,1394,7204,7016,6810,8226,10618,13496,14306,13345,13623,14122,13830,12359,11151,8039,8139,8319,6436,5661,3556,3408,3309,3995,5318,6652,7048,6836,7100,7655,7397,6774,6038,4491,4632,5151,4172,4184,3648,3608,3501,4231,5300,6844,7258,6509,6523,6467,6433,5585,5113,3548,3507,3168,2264,1477,7163,7115,6820,7955,9975,12970,14055,13251,13395,13848,14145,12490,11434,8715,7525,8199,6606,5928,3493,3475,3324,3824,5015,6434,6978,6782,6925,7471,7597,6880,6182,4866,4324,5022,4315,4347,3670,3640,3496,4131,4960,6536,7077,6469,6470,6377,6548,5610,5252,3849,3201,3177,2291,1581,7181,7159,6917,7773,9411,12032,13548,13100,13352,13568,14267,12513,11730,8925,7469,8041,6743,6192,3480,3511,3364,3744,4710,6004,6735,6713,6909,7288,7672,6898,6337,5008,4331,4866,4419,4517,3701,3648,3553,4029,4701,6028,6813,6387,6443,6280,6595,5615,5393,3917,3138,3175,2324,1675,7182,7132,6970,7498,8963,11238,13057,13187,13139,13421,14263,12731,11874,9501,7208,7940,6674,6487,3484,3499,3374,3616,4458,5651,6529,6817,6758,7187,7748,7043,6454,5287,4146,4805,4342,4723,3698,3633,3596,3882,4505,5587,6528,6370,6381,6234,6515,5688,5420,4214,3062,3135,2332,1764,7038,7125,6956,7313,8700,10580,12483,13201,12934,13433,13969,13096,11997,10037,7213,7594,6824,6630,3417,3495,3397,3529,4285,5346,6225,6709,6730,7205,7583,7171,6554,5544,4158,4551,4452,4830,3621,3630,3559,3784,4415,5234,6258,6492,6204,6228,6386,5925,5443,4493,3055,3043,2372,1800,6734,7151,7114,7143,8399,9978,11812,13114,12808,13300,13745,13374,11868,10625,7521,7277,6766,7007,3292,3526,3468,3430,4104,5038,5883,6656,6661,7052,7540,7249,6582,5870,4341,4286,4421,5059,3442,3625,3646,3713,4295,4940,5929,6458,6147,6248,6205,6125,5286,4755,3180,2991,2345,1948,6526,7152,7194,7121,8101,9342,11230,12870,12603,13010,13465,13626,11925,10912,8173,6761,6708,7238,3153,3514,3536,3458,3920,4753,5632,6554,6565,6841,7373,7409,6670,6012,4693,4000,4324,5232,3373,3638,3658,3663,4181,4589,5598,6316,6038,6169,6092,6217,5255,4900,3480,2761,2384,2006,6290,7117,7186,7175,7953,8842,10561,12452,12501,12951,13299,13851,12040,11199,8411,6699,6655,7474,3080,3458,3553,3517,3870,4467,5331,6358,6479,6771,7249,7545,6730,6157,4848,4011,4248,5366,3210,3659,3633,3658,4083,4375,5230,6094,6022,6180,6050,6306,5310,5042,3563,2688,2407,2108,6092,7094,7155,7302,7777,8619,10038,12051,12686,12648,13187,13893,12261,11367,8994,6502,6656,7629,2997,3447,3552,3556,3806,4345,5020,6117,6547,6585,7153,7605,6864,6260,5136,3874,4245,5451,3095,3647,3603,3746,3971,4274,5018,5934,6139,6063,6034,6288,5397,5107,3858,2628,2411,2178,5960,7079,7268,7364,7727,8616,9703,11685,12648,12583,13145,13628,12712,11477,9535,6602,6427,7885,2913,3434,3598,3632,3783,4319,4855,5967,6465,6627,7147,7479,7054,6395,5399,3919,4051,5636,3047,3645,3670,3732,3944,4297,4848,5718,6183,5956,5998,6149,5658,5082,4136,2683,2376,2249,5872,6927,7327,7590,7749,8613,9512,11259,12767,12595,13126,13440,13082,11435,10068,6936,6215,8026,2903,3373,3605,3753,3828,4282,4821,5729,6538,6604,7055,7458,7167,6463,5697,4129,3821,5758,2969,3554,3722,3837,3921,4331,4691,5530,6229,5991,6071,5982,5915,4972,4371,2807,2394,2268,5703,6779,7419,7842,8045,8610,9141,11060,12777,12633,13034,13288,13439,11597,10375,7632,5775,8226,2810,3278,3670,3897,3957,4199,4689,5654,6571,6636,6949,7356,7384,6574,5856,4510,3572,5877,2893,3501,3749,3945,4088,4411,4452,5406,6206,5997,6085,5932,6055,5023,4519,3122,2203,2349,5468,6577,7358,7863,8078,8461,8755,10578,12427,12621,12942,13182,13609,11762,10637,7896,5722,8285,2667,3207,3623,3899,3994,4142,4470,5384,6428,6585,6864,7266,7504,6647,5974,4697,3553,5864,2801,3370,3735,3964,4084,4319,4285,5194,5999,6036,6078,5916,6105,5115,4663,3199,2169,2421,5130,6380,7419,7878,8254,8226,8653,10098,12169,12814,12777,13122,13647,11995,10790,8369,5610,8362,2500,3134,3646,3920,4086,4066,4363,5162,6272,6678,6759,7211,7551,6804,6077,4918,3479,5951,2630,3246,3773,3958,4168,4160,4290,4936,5897,6136,6018,5911,6096,5191,4713,3451,2131,2411,118,175,229,313,306,245,304,274,278,224,203,177,281,258,203,118,90,59,57,84,115,143,150,131,150,141,135,118,110,93,143,129,110,60,60,39,61,91,114,170,156,114,154,133,143,106,93,84,138,129,93,58,30,20,108,166,211,277,320,262,283,279,287,252,211,171,252,265,213,135,95,73,52,82,104,131,156,125,136,149,141,124,115,81,134,133,121,66,62,47,56,84,107,146,164,137,147,130,146,128,96,90,118,132,92,69,33,26,113,153,202,261,320,276,263,288,284,257,224,194,226,258,225,151,88,81,61,74,100,112,154,140,132,141,154,125,114,98,122,131,121,83,55,49,52,80,102,150,166,136,131,147,130,132,110,96,104,127,104,69,32,31,127,144,187,253,333,291,261,303,304,256,236,210,183,268,229,149,91,84,71,66,93,110,159,150,130,149,160,124,123,109,97,138,125,83,54,53,56,78,94,143,174,141,131,154,144,132,113,101,86,130,104,66,37,31,131,142,183,244,336,298,243,316,290,285,237,215,171,262,231,169,90,83,72,64,90,112,160,150,121,159,153,135,123,113,92,135,125,97,53,53,59,78,93,132,176,148,122,157,137,150,114,102,79,127,106,72,37,30,147,118,184,230,312,321,256,306,299,309,245,216,156,267,223,180,98,83,70,56,88,117,145,162,129,149,169,142,123,116,77,140,116,114,51,56,77,62,96,113,167,159,127,157,130,167,122,100,79,127,107,66,47,27,148,128,173,225,293,320,261,300,301,304,262,218,173,238,236,177,110,89,69,56,91,109,144,160,133,141,168,149,125,117,82,132,123,109,61,63,79,72,82,116,149,160,128,159,133,155,137,101,91,106,113,68,49,26,160,131,172,210,285,308,287,288,323,315,261,232,192,216,232,188,116,90,74,67,84,103,134,157,148,134,164,170,122,115,98,118,123,111,70,64,86,64,88,107,151,151,139,154,159,145,139,117,94,98,109,77,46,26,161,141,162,201,268,328,289,289,319,330,269,238,206,174,244,193,119,91,81,73,78,94,125,161,147,138,160,175,130,119,106,92,130,116,70,61,80,68,84,107,143,167,142,151,159,155,139,119,100,82,114,77,49,30,160,140,159,197,251,315,281,272,319,318,299,237,213,163,241,197,128,93,83,70,69,94,118,164,143,132,160,168,147,121,112,87,127,113,78,62,77,70,90,103,133,151,138,140,159,150,152,116,101,76,114,84,50,31,165,162,139,195,231,275,318,282,313,329,314,245,211,156,249,187,141,95,80,79,60,95,117,138,156,143,138,183,146,127,115,80,132,100,96,62,85,83,79,100,114,137,162,139,175,146,168,118,96,76,117,87,45,33,168,163,145,184,236,280,316,288,312,331,314,258,213,168,226,200,142,105,76,80,66,95,121,145,156,140,138,178,155,129,116,83,124,105,90,73,92,83,79,89,115,135,160,148,174,153,159,129,97,85,102,95,52,32,171,172,139,184,227,259,307,301,294,344,311,258,228,178,196,208,138,106,82,86,72,86,115,129,154,150,138,173,170,121,117,94,110,111,83,81,89,86,67,98,112,130,153,151,156,171,141,137,111,84,86,97,55,25,177,165,153,170,218,253,315,303,286,342,330,266,230,194,160,224,144,110,84,83,83,77,107,131,158,151,138,170,173,128,120,104,86,120,93,76,93,82,70,93,111,122,157,152,148,172,157,138,110,90,74,104,51,34,161,171,158,166,207,251,293,299,284,345,319,303,231,200,149,218,156,118,75,84,85,71,106,120,155,148,136,172,167,145,121,109,83,115,94,83,86,87,73,95,101,131,138,151,148,173,152,158,110,91,66,103,62,35,159,186,183,156,220,311,314,336,288,335,330,313,236,201,148,225,145,124,80,94,87,73,114,148,155,174,143,153,179,147,123,110,78,118,82,91,79,92,96,83,106,163,159,162,145,182,151,166,113,91,70,107,63,33,177,192,174,153,203,307,311,339,289,334,332,302,251,205,160,204,155,127,86,91,82,73,105,160,148,168,143,152,171,149,128,108,82,119,84,91,91,101,92,80,98,147,163,171,146,182,161,153,123,97,78,85,71,36,179,189,178,151,193,282,305,323,314,316,348,302,251,216,173,170,170,137,88,97,82,80,97,150,139,159,152,154,171,163,122,110,95,100,96,94,91,92,96,71,96,132,166,164,162,162,177,139,129,106,78,70,74,43,178,188,172,155,170,249,326,349,329,304,345,321,259,217,180,146,175,140,86,94,86,86,84,132,155,167,163,151,167,171,124,114,100,82,104,101,92,94,86,69,86,117,171,182,166,153,178,150,135,103,80,64,71,39,166,192,178,167,154,228,321,338,328,293,350,308,291,219,196,132,179,144,72,95,89,86,71,118,161,161,165,145,173,159,143,118,103,77,104,105,94,97,89,81,83,110,160,177,163,148,177,149,148,101,93,55,75,39,176,177,184,176,142,212,313,313,349,287,340,317,301,222,190,129,176,150,75,92,89,82,65,115,155,148,181,144,160,175,143,117,102,74,101,107,101,85,95,94,77,97,158,165,168,143,180,142,158,105,88,55,75,43,177,180,188,174,154,194,306,323,339,292,341,327,297,238,191,138,158,155,81,87,88,80,71,98,160,156,166,150,158,172,153,119,102,75,102,103,96,93,100,94,83,96,146,167,173,142,183,155,144,119,89,63,56,52,164,184,196,186,149,189,286,332,325,313,330,348,301,243,202,157,136,166,67,91,101,82,72,89,155,157,161,159,162,173,171,116,105,90,87,113,97,93,95,104,77,100,131,175,164,154,168,175,130,127,97,67,49,53,165,183,204,179,163,179,251,333,351,327,315,346,315,257,207,165,119,170,73,82,107,85,85,81,134,164,176,162,157,170,176,126,108,93,74,120,92,101,97,94,78,98,117,169,175,165,158,176,139,131,99,72,45,50,161,176,207,186,169,166,237,337,345,332,303,348,308,285,211,179,105,176,73,76,107,91,88,73,121,167,168,171,147,174,164,146,111,99,68,129,88,100,100,95,81,93,116,170,177,161,156,174,144,139,100,80,37,47,154,190,189,199,189,143,229,326,337,361,314,342,318,296,215,173,108,167,73,85,102,98,90,65,118,165,160,187,156,159,177,147,111,99,65,123,81,105,87,101,99,78,111,161,177,174,158,183,141,149,104,74,43,44,10,10,13,12,10,20,23,25,16,19,12,12,26,42,39,39,24,14,5,2,5,3,6,7,10,15,6,5,5,2,16,19,16,26,13,10,5,8,8,9,4,13,13,10,10,14,7,10,10,23,23,13,11,4,11,7,14,12,9,16,23,20,21,18,19,6,26,29,42,36,26,12,7,2,5,3,3,7,10,11,10,7,6,null,11,17,19,18,18,9,4,5,9,9,6,9,13,9,11,11,13,6,15,12,23,18,8,3,9,6,10,15,10,13,19,21,21,18,20,5,23,30,39,33,25,14,6,1,5,4,4,6,7,9,11,8,5,1,8,17,20,14,15,10,3,5,5,11,6,7,12,12,10,10,15,4,15,12,18,18,9,4,7,7,12,13,10,9,23,17,23,20,19,6,20,27,32,33,28,15,4,3,5,4,3,5,8,6,13,10,5,1,5,16,18,13,16,12,3,4,7,9,7,4,15,11,10,10,14,5,15,11,14,20,12,3,6,9,10,14,12,8,20,19,24,21,21,8,14,28,34,31,25,15,3,5,2,6,3,4,6,8,13,8,7,3,3,15,18,14,14,11,3,4,8,8,9,4,14,11,11,13,14,5,11,13,16,17,11,4,6,12,9,15,14,8,19,20,26,24,19,15,9,31,28,34,21,17,2,8,2,4,4,3,6,10,14,10,6,6,1,14,16,15,12,11,4,4,7,11,10,5,13,10,12,14,13,9,8,17,12,19,9,6,5,12,8,15,10,11,15,21,22,23,20,22,12,28,30,36,26,28,1,8,2,5,3,4,6,9,12,10,7,6,3,11,20,15,18,21,4,4,6,10,7,7,9,12,10,13,13,16,9,17,10,21,8,7,5,13,7,12,15,14,18,19,24,26,20,24,13,24,32,33,25,31,2,8,1,5,6,5,7,8,11,13,9,7,4,8,20,17,15,21,3,5,6,7,9,9,11,11,13,13,11,17,9,16,12,16,10,10,3,13,7,15,15,15,14,20,22,26,26,22,14,22,25,28,26,29,1,6,3,5,6,5,6,7,9,14,13,6,3,6,16,15,12,19,2,7,4,10,9,10,8,13,13,12,13,16,11,16,9,13,14,10,7,9,8,11,12,16,13,18,21,26,23,24,15,15,27,30,26,24,3,3,4,2,5,6,5,6,8,14,9,9,4,3,15,15,11,17,4,6,4,9,7,10,8,12,13,12,14,15,11,12,12,15,15,7,4,7,11,7,14,21,9,18,18,24,23,22,19,12,28,24,29,27,1,2,7,1,5,9,3,5,9,10,8,8,7,2,14,15,12,18,3,5,4,6,9,12,6,13,9,14,15,14,12,10,14,9,17,9,5,9,10,6,15,17,16,14,20,22,23,21,24,11,26,24,26,28,2,2,6,1,5,6,7,4,8,10,8,8,7,2,10,17,11,17,3,7,4,5,10,11,9,10,12,12,15,13,17,9,16,7,15,11,3,3,13,6,13,11,16,15,20,23,24,22,22,13,25,24,23,25,2,1,7,1,3,5,6,5,8,9,10,9,8,3,8,15,11,14,1,2,6,5,10,6,10,10,12,14,14,13,14,10,17,9,12,11,4,3,10,7,17,10,14,15,17,24,21,24,22,13,21,23,21,27,2,1,5,3,4,5,5,6,5,10,10,10,8,3,5,16,11,14,2,2,5,4,13,5,9,9,12,14,11,14,14,10,16,7,10,13,4,6,8,10,12,11,16,12,19,24,26,22,27,15,16,22,26,22,1,4,4,5,2,5,5,5,7,11,12,8,11,4,4,13,15,12,3,2,4,5,10,6,11,7,12,13,14,14,16,11,12,9,11,10,5,5,7,12,9,17,17,12,20,20,26,24,23,21,13,24,19,25,2,4,2,8,2,6,6,4,7,11,12,9,8,9,3,11,13,14,3,1,5,4,7,11,11,8,13,9,14,15,15,12,10,13,6,11,9,4,5,10,9,18,11,14,16,23,22,27,24,23,10,20,20,28,4,3,1,6,3,7,3,4,6,10,11,11,8,7,3,7,15,15,5,1,4,4,6,11,8,10,10,13,11,16,16,16,7,13,5,13,7,7,2,11,6,14,15,12,15,21,23,27,23,24,10,21,21,26,3,4,1,6,2,4,6,3,6,9,9,13,9,7,3,7,14,14,4,3,1,5,4,10,9,9,9,12,14,14,14,17,7,14,7,12,7,6,3,8,8,17,15,13,13,16,23,25,27,22,11,19,19,27,2,2,1,4,4,5,7,3,7,4,9,13,11,6,3,5,14,17,5,4,2,4,4,12,8,10,6,12,14,12,16,16,8,14,5,10,3,5,5,6,8,14,15,12,9,20,21,25,25,22,15,12,19,29,1,1,2,3,4,4,7,3,4,9,7,13,9,7,5,3,11,19,2,4,3,3,4,10,8,9,5,11,14,12,16,15,10,9,8,10,7,4,4,4,11,12,14,14,9,18,19,22,26,20,18,11,19,22,3,1,1,1,7,4,6,4,3,7,9,10,10,6,7,3,9,14,4,3,3,3,4,8,8,10,6,11,10,12,16,14,11,8,10,8,5,4,3,4,9,12,16,11,9,16,22,19,28,20,21,10,21,27,2,1,1,1,6,5,5,3,3,8,9,8,12,7,6,3,8,18,3,3,2,3,3,7,11,8,6,8,13,11,16,13,15,7,13,9,6,1,3,2,12,10,17,13,9,14,20,22,30,19,24,8,22,23,3,1,1,1,7,4,6,5,2,6,8,9,13,7,8,3,8,16,3,0,2,1,5,6,11,8,7,8,12,13,17,12,16,5,14,7,8,1,3,3,9,11,17,14,11,12,20,25,28,24,20,9,16,24,3,1,1,1,5,5,5,8,1,5,6,9,14,10,7,3,4,19,5,0,2,2,4,6,12,6,10,7,14,16,14,14,13,6,12,5,7,2,1,6,7,9,17,16,11,9,22,21,27,25,19,12,8,25,2,1,1,2,3,4,5,8,1,3,9,6,14,10,7,5,2,19,5,1,0,4,4,5,12,8,10,6,13,15,13,15,12,7,6,6,5,4,1,4,5,11,16,14,12,8,21,19,25,27,15,19,10,26,1,2,1,1,1,6,4,6,2,2,8,8,10,11,6,9,4,19,4,2,0,3,4,5,12,8,10,6,13,11,15,16,9,10,6,7,50,91,104,117,113,132,107,109,86,102,96,85,113,107,117,73,48,44,24,57,46,57,53,58,51,51,43,44,54,40,46,58,59,34,33,29,27,34,57,60,60,74,55,58,42,57,41,45,67,49,58,38,15,16,25,78,100,122,112,114,114,107,102,98,100,82,110,109,109,80,58,55,9,49,48,63,49,54,55,45,50,47,56,37,50,50,49,46,35,35,16,29,52,59,63,60,59,62,52,51,44,45,60,59,60,34,23,20,17,71,91,112,119,104,123,106,106,91,99,87,106,105,113,82,60,60,6,41,49,55,58,46,53,48,54,43,54,41,46,55,49,44,37,40,11,30,42,57,61,58,70,58,52,48,45,46,60,50,64,38,23,20,13,59,90,105,118,104,112,105,104,95,102,88,97,108,105,98,57,67,5,32,53,50,55,47,48,47,52,47,52,46,43,54,49,51,31,46,8,27,37,55,63,57,64,58,52,48,50,42,54,54,56,47,26,21,19,48,86,105,109,107,107,105,107,85,100,96,84,109,101,108,66,73,7,24,53,46,52,52,45,50,51,44,43,54,38,47,55,57,30,51,12,24,33,59,57,55,62,55,56,41,57,42,46,62,46,51,36,22,16,39,74,103,117,98,93,108,106,92,98,92,80,107,96,103,69,55,6,16,48,49,57,45,41,53,47,45,45,53,38,48,47,51,36,40,10,23,26,54,60,53,52,55,59,47,53,39,42,59,49,52,33,15,15,22,73,95,109,89,89,101,98,94,94,93,78,102,97,96,67,49,5,9,46,45,56,34,43,48,42,48,47,52,37,49,48,46,39,34,10,13,27,50,53,55,46,53,56,46,47,41,41,53,49,50,28,15,11,18,68,86,100,86,81,106,93,94,88,93,79,96,94,96,63,54,4,7,39,45,49,38,36,46,42,51,43,50,40,44,52,43,36,35,7,11,29,41,51,48,45,60,51,43,45,43,39,52,42,53,27,19,5,21,56,83,97,79,77,95,92,91,91,95,82,87,96,89,75,55,4,6,32,46,46,37,34,44,41,48,47,47,44,40,54,41,43,34,1,15,24,37,51,42,43,51,51,43,44,48,38,47,42,48,32,21,5,19,45,81,100,82,80,93,91,99,80,91,91,78,98,86,79,61,2,6,23,48,44,39,40,42,44,46,43,38,53,37,46,48,45,37,3,13,22,33,56,43,40,51,47,53,37,53,38,41,52,38,34,24,8,19,40,70,95,96,76,85,101,102,88,94,88,72,95,84,78,60,3,5,18,43,44,45,35,38,49,43,44,43,51,37,48,43,41,40,5,14,22,27,51,51,41,47,52,59,44,51,37,35,47,41,37,20,33,27,32,74,101,108,88,98,109,116,99,102,93,79,99,86,76,65,18,9,13,43,46,50,38,44,52,45,50,47,53,37,49,45,38,43,15,18,19,31,55,58,50,54,57,71,49,55,40,42,50,41,38,22,38,32,39,77,90,102,93,95,123,117,117,96,97,80,94,82,69,71,18,15,17,42,43,46,48,40,55,54,58,46,49,39,47,45,32,48,20,17,22,35,47,56,45,55,68,63,59,50,48,41,47,37,37,23,45,36,50,69,92,100,105,98,117,116,117,104,104,88,85,88,62,76,24,21,18,36,50,43,53,45,53,55,57,54,45,46,40,51,29,49,21,15,32,33,42,57,52,53,64,61,60,50,59,42,45,37,33,27,41,40,50,55,89,117,102,107,115,122,131,99,108,100,74,87,66,78,20,20,21,28,55,49,49,53,48,64,59,51,44,52,40,41,36,49,21,20,29,27,34,68,53,54,67,58,72,48,64,48,34,46,30,29,48,42,39,58,79,127,108,107,105,135,134,111,109,96,75,89,65,77,24,20,15,28,49,55,56,48,48,66,61,52,50,50,42,43,33,46,24,22,24,30,30,72,52,59,57,69,73,59,59,46,33,46,32,31,55,45,29,54,78,126,112,103,112,132,127,118,112,99,74,84,66,64,28,23,12,25,44,58,55,47,50,64,56,56,56,49,38,42,35,36,27,22,17,29,34,68,57,56,62,68,71,62,56,50,36,42,31,28,62,41,38,51,79,104,120,107,107,130,119,128,101,106,80,84,60,64,35,21,18,22,43,46,57,56,47,56,58,63,54,49,41,42,35,36,27,20,20,29,36,58,63,51,60,74,61,65,47,57,39,42,25,28,64,50,39,50,66,116,129,110,119,122,121,123,109,105,90,77,65,64,31,29,24,19,33,64,57,53,52,52,57,58,59,46,46,37,39,39,33,21,15,31,33,52,72,57,67,70,64,65,50,59,44,40,26,25,69,42,48,46,56,99,139,110,114,121,118,131,101,107,93,70,71,67,35,20,28,20,28,57,58,50,56,49,60,61,52,45,47,39,35,41,34,22,20,26,28,42,81,60,58,72,58,70,49,62,46,31,36,26,64,60,50,38,65,86,134,112,118,106,126,135,110,112,87,69,71,67,27,32,26,14,33,48,57,51,51,52,61,62,53,52,44,39,35,37,37,28,24,24,32,38,77,61,67,54,65,73,57,60,43,30,36,30,61,73,59,28,56,81,131,113,111,119,130,123,120,116,96,67,68,71,22,40,33,11,27,42,61,49,50,58,60,55,59,58,45,35,33,40,39,33,26,17,29,39,70,64,61,61,70,68,61,58,51,32,35,31,63,72,48,41,49,77,115,121,117,116,134,123,133,111,101,71,63,74,22,38,27,17,24,42,57,53,57,53,58,58,65,57,44,37,30,43,41,34,21,24,25,35,58,68,60,63,76,65,68,54,57,34,33,31,70,67,53,48,51,72,114,115,118,133,128,123,130,119,105,76,56,68,30,31,28,24,23,35,59,49,58,56,56,56,62,64,45,40,26,39,40,36,25,24,28,37,55,66,60,77,72,67,68,55,60,36,30,29,73,77,50,54,51,64,117,131,112,136,135,126,141,109,110,84,55,70,29,35,24,27,24,36,63,53,50,63,58,63,63,58,43,44,31,37,44,42,26,27,27,28,54,78,62,73,77,63,78,51,67,40,24,33,71,70,64,58,44,62,110,137,116,136,119,135,146,120,116,80,56,71,31,29,31,27,20,32,60,57,53,61,56,64,65,59,52,43,31,35,40,41,33,31,24,30,50,80,63,75,63,71,81,61,64,37,25,36,522,620,768,1006,937,1009,1065,979,836,730,625,498,539,530,438,298,241,202,262,292,390,473,465,416,472,451,380,332,295,261,285,299,270,201,168,139,260,329,377,533,473,593,593,528,456,398,330,237,253,231,169,97,73,63,438,593,694,926,974,919,996,1015,884,763,687,475,531,506,466,314,244,234,210,278,342,436,466,405,431,463,407,338,330,228,282,279,278,210,158,169,228,315,352,490,508,514,565,552,477,425,357,247,249,227,188,104,86,65,437,550,702,856,1007,880,980,1004,899,775,702,530,511,513,496,326,249,240,196,260,334,406,490,401,419,459,416,354,326,256,271,275,299,212,156,179,241,290,368,450,517,479,561,545,483,421,376,274,240,238,198,113,93,61,413,537,642,830,993,859,978,987,918,773,716,579,476,527,479,358,239,252,188,252,314,407,468,412,423,466,440,348,327,281,251,291,281,233,154,188,225,285,328,423,525,447,555,521,478,425,389,298,225,236,198,125,85,64,419,514,629,791,981,851,955,982,932,792,717,610,502,512,488,381,239,272,186,252,291,385,464,427,421,467,442,365,325,290,264,280,286,241,163,200,233,262,338,406,517,424,534,515,490,427,392,320,238,232,202,140,76,72,450,487,626,738,953,885,930,961,959,845,714,638,490,507,506,388,244,272,211,239,293,354,451,429,411,465,458,393,333,297,254,274,300,246,170,193,239,248,333,384,502,456,519,496,501,452,381,341,236,233,206,142,74,79,482,487,625,709,902,963,893,937,975,847,764,675,471,504,483,426,247,256,219,240,294,342,420,460,416,449,475,402,340,333,235,275,284,269,173,192,263,247,331,367,482,503,477,488,500,445,424,342,236,229,199,157,74,64,470,487,585,715,830,984,867,932,937,862,749,680,510,482,484,449,251,247,211,220,279,335,399,474,397,447,457,423,356,327,260,263,284,284,178,188,259,267,306,380,431,510,470,485,480,439,393,353,250,219,200,165,73,59,525,476,575,663,848,991,845,936,920,882,756,689,560,456,495,434,289,252,252,215,272,324,405,475,393,443,465,441,353,329,286,248,293,269,205,189,273,261,303,339,443,516,452,493,455,441,403,360,274,208,202,165,84,63,535,452,548,635,812,979,860,917,936,856,777,692,586,470,479,451,308,241,245,213,273,300,390,483,385,438,459,425,369,327,288,264,278,274,213,188,290,239,275,335,422,496,475,479,477,431,408,365,298,206,201,177,95,53,524,482,517,650,765,945,916,897,937,881,810,694,608,458,473,452,320,245,241,230,259,301,365,447,415,419,475,431,378,334,296,253,275,280,217,188,283,252,258,349,400,498,501,478,462,450,432,360,312,205,198,172,103,57,514,497,520,639,750,912,949,862,919,895,814,718,660,439,474,437,348,254,235,234,255,305,353,418,434,409,448,442,387,332,338,230,274,270,228,197,279,263,265,334,397,494,515,453,471,453,427,386,322,209,200,167,120,57,538,497,515,611,736,855,955,831,908,921,824,714,663,496,451,435,355,264,254,236,232,299,346,410,453,387,451,454,405,345,331,261,255,279,239,205,284,261,283,312,390,445,502,444,457,467,419,369,332,235,196,156,116,59,543,506,487,594,684,842,950,824,916,917,873,717,687,542,423,435,348,296,252,243,229,279,336,395,448,392,440,466,435,332,345,279,236,279,227,232,291,263,258,315,348,447,502,432,476,451,438,385,342,263,187,156,121,64,502,527,465,577,661,776,920,816,891,931,841,752,681,567,433,437,356,332,232,245,219,285,312,353,446,387,439,469,422,353,342,283,250,267,236,255,270,282,246,292,349,423,474,429,452,462,419,399,339,284,183,170,120,77,520,518,485,538,672,725,887,864,858,917,860,786,683,587,425,428,370,328,246,244,223,266,317,333,420,406,418,466,430,379,342,289,240,262,242,243,274,274,262,272,355,392,467,458,440,451,430,407,341,298,185,166,128,85,489,520,498,525,640,705,840,900,808,900,865,800,710,626,403,433,365,355,250,265,229,255,304,324,398,427,398,453,438,394,342,324,220,256,239,268,239,255,269,270,336,381,442,473,410,447,427,406,368,302,183,177,126,87,473,515,492,507,587,683,772,916,788,881,865,807,708,640,458,396,365,369,235,273,229,232,278,309,372,447,380,452,437,408,353,325,245,230,241,282,238,242,263,275,309,374,400,469,408,429,428,399,355,315,213,166,124,87,403,529,500,480,578,628,778,904,772,855,859,829,694,667,514,360,375,363,203,261,242,227,263,305,362,443,378,425,449,427,339,339,278,205,246,268,200,268,258,253,315,323,416,461,394,430,410,402,355,328,236,155,129,95,408,511,527,472,555,621,723,884,807,852,876,800,734,657,540,380,369,369,205,251,253,223,270,292,337,435,397,431,456,412,361,342,277,228,229,272,203,260,274,249,285,329,386,449,410,421,420,388,373,315,263,152,140,97,405,516,525,472,521,612,668,864,818,835,868,803,765,662,554,381,340,395,195,253,264,223,246,290,312,425,401,425,459,411,383,343,281,225,216,281,210,263,261,249,275,322,356,439,417,410,409,392,382,319,273,156,124,114,418,492,533,486,518,582,648,826,872,789,867,817,784,685,595,370,355,413,207,242,271,226,243,282,304,395,435,404,453,430,392,340,322,205,217,294,211,250,262,260,275,300,344,431,437,385,414,387,392,345,273,165,138,119,408,482,532,493,503,546,644,765,900,789,854,829,800,693,604,428,335,419,195,223,276,233,225,263,294,377,445,405,452,439,412,357,316,241,200,297,213,259,256,260,278,283,350,388,455,384,402,390,388,336,288,187,135,122,416,442,543,512,499,527,613,782,899,770,826,840,829,686,635,472,306,422,205,222,265,249,233,244,308,365,444,395,431,449,432,346,337,264,183,302,211,220,278,263,266,283,305,417,455,375,395,391,397,340,298,208,123,120,400,460,506,537,491,543,615,732,859,802,839,856,799,717,627,498,308,422,195,229,244,259,230,264,293,341,421,401,436,461,413,365,339,261,197,298,205,231,262,278,261,279,322,391,438,401,403,395,386,352,288,237,111,124,359,445,495,527,488,524,587,664,843,825,824,853,813,748,636,505,307,414,176,218,235,259,234,248,280,324,401,409,427,464,431,378,344,267,190,299,183,227,260,268,254,276,307,340,442,416,397,389,382,370,292,238,117,115,193,242,295,356,330,329,372,354,314,247,218,178,250,246,177,132,98,65,110,118,126,162,155,154,195,161,138,126,100,86,123,111,106,82,68,39,83,124,169,194,175,175,177,193,176,121,117,92,127,135,72,50,29,26,162,224,266,340,347,317,371,376,328,272,219,177,239,260,197,143,101,79,87,112,124,146,151,164,181,178,151,133,102,85,121,119,114,77,75,49,75,112,142,194,196,153,190,198,177,139,117,92,118,141,83,66,26,30,162,210,264,319,343,310,357,376,353,268,238,184,210,277,205,142,98,77,77,113,121,143,149,150,175,184,154,127,110,92,111,131,112,80,67,52,85,97,143,175,194,160,181,192,199,141,128,92,99,146,93,62,30,24,161,208,265,316,334,296,362,363,363,290,241,207,194,254,224,156,92,86,77,115,124,145,149,134,176,185,162,128,118,102,100,122,116,94,59,61,84,93,141,171,185,162,186,178,201,162,123,105,94,132,108,62,33,25,177,202,232,321,326,310,339,383,366,310,246,212,193,243,234,166,95,85,84,112,112,142,145,141,157,204,161,140,122,106,97,120,114,99,62,62,93,90,120,179,181,169,182,179,205,170,124,106,96,123,120,67,33,23,174,188,241,283,339,315,327,373,379,318,259,220,174,244,229,171,93,85,81,98,120,123,155,140,156,188,174,144,126,109,89,118,106,104,59,64,93,90,121,160,184,175,171,185,205,174,133,111,85,126,123,67,34,21,181,184,225,269,336,340,316,373,394,323,273,226,179,229,242,181,102,80,83,92,112,127,145,161,157,177,189,155,129,104,93,118,116,113,62,58,98,92,113,142,191,179,159,196,205,168,144,122,86,111,126,68,40,22,171,189,218,269,313,327,319,374,383,352,274,246,194,207,257,188,103,80,82,86,116,122,142,164,151,176,191,158,133,118,101,104,126,114,64,54,89,103,102,147,171,163,168,198,192,194,141,128,93,103,131,74,39,26,167,189,215,260,296,326,307,384,366,361,304,243,217,186,245,192,125,78,76,88,117,123,129,159,143,185,185,168,135,124,106,95,119,110,81,53,91,101,98,137,167,167,164,199,181,193,169,119,111,91,126,82,44,25,173,187,215,232,304,323,315,366,379,364,316,252,222,186,232,205,134,86,74,84,119,114,138,147,152,170,196,161,145,130,112,92,123,106,85,60,99,103,96,118,166,176,163,196,183,203,171,122,110,94,109,99,49,26,177,184,198,241,274,343,329,349,379,378,319,272,240,174,236,211,149,104,77,83,105,129,115,169,156,169,187,170,147,138,119,88,120,111,100,75,100,101,93,112,159,174,173,180,192,208,172,134,121,86,116,100,49,29,176,170,196,220,273,342,323,331,380,374,323,295,234,177,221,226,157,114,78,73,107,116,130,162,154,169,182,168,152,140,113,89,113,118,105,75,98,97,89,104,143,180,169,162,198,206,171,155,121,88,108,108,52,39,173,172,188,224,270,335,335,313,399,367,346,288,251,184,197,236,159,109,79,82,88,127,124,157,166,154,195,174,156,140,120,95,99,125,102,76,94,90,100,97,146,178,169,159,204,193,190,148,131,89,98,111,57,33,183,162,187,219,265,295,341,302,388,346,352,314,243,208,177,226,166,134,90,75,89,121,125,127,168,144,190,177,159,144,122,102,93,113,102,94,93,87,98,98,140,168,173,158,198,169,193,170,121,106,84,113,64,40,165,171,182,227,242,287,316,295,366,375,351,320,248,211,173,220,176,150,91,74,85,126,117,126,148,148,178,197,154,147,127,108,89,117,93,108,74,97,97,101,125,161,168,147,188,178,197,173,121,103,84,103,83,42,140,174,183,200,255,249,330,298,343,369,363,312,266,220,157,209,176,163,79,75,82,105,132,94,156,151,175,189,168,144,133,110,83,106,93,122,61,99,101,95,123,155,174,147,168,180,195,168,133,110,74,103,83,41,138,173,174,188,221,255,307,317,310,374,361,319,280,219,163,192,186,167,83,78,78,101,115,116,138,153,162,183,168,157,135,107,87,105,95,119,55,95,96,87,106,139,169,164,148,191,193,162,145,112,76,87,91,48,155,162,168,183,219,249,275,325,298,376,343,350,278,237,176,166,189,165,89,71,80,92,117,111,124,162,150,186,169,164,139,118,95,94,100,114,66,91,88,91,102,138,151,163,148,190,174,186,139,119,81,72,89,51,135,169,156,182,211,231,265,314,288,379,326,337,306,245,191,155,179,178,76,81,72,89,115,107,117,149,141,190,171,160,142,126,98,91,91,114,59,88,84,93,96,124,148,165,147,189,155,177,164,119,93,64,88,64,121,159,168,174,215,207,253,304,286,349,353,341,311,249,200,147,173,186,66,86,73,81,119,95,108,143,143,177,187,156,147,125,105,85,92,111,55,73,95,93,96,112,145,161,143,172,166,185,164,124,95,62,81,75,127,141,169,179,196,220,210,319,287,328,362,351,310,269,204,133,177,191,72,76,75,80,104,110,87,146,146,169,190,165,145,137,101,76,98,112,55,65,94,99,92,110,123,173,141,159,172,186,165,132,103,57,79,79,129,150,170,170,179,209,220,286,310,304,368,342,316,284,205,146,160,210,65,88,78,77,92,106,105,129,155,161,183,161,154,140,100,83,90,129,64,62,92,93,87,103,115,157,155,143,185,181,162,144,105,63,70,81,121,144,153,174,170,197,235,257,326,285,376,333,343,277,227,162,142,202,61,82,69,86,79,105,108,117,164,145,196,167,158,140,113,89,84,124,60,62,84,88,91,92,127,140,162,140,180,166,185,137,114,73,58,78,126,134,165,162,171,194,236,246,322,283,380,326,332,294,221,178,125,200,65,75,82,76,83,108,111,114,160,142,194,169,154,146,113,97,77,122,61,59,83,86,88,86,125,132,162,141,186,157,178,148,108,81,48,78,125,128,159,169,167,203,198,241,335,306,341,350,335,292,237,180,115,192,62,69,85,71,80,117,90,110,163,162,169,184,150,148,124,101,70,118,63,59,74,98,87,86,108,131,172,144,172,166,185,144,113,79,45,74,104,136,154,179,170,169,206,216,335,309,329,347,346,298,253,183,107,189,46,78,83,81,78,96,102,99,165,168,167,182,158,146,133,98,62,123,58,58,71,98,92,73,104,117,170,141,162,165,188,152,120,85,45,66,20,23,28,31,38,54,46,40,29,29,32,40,44,34,22,17,9,11,10,12,14,17,20,28,23,15,12,14,17,21,17,15,12,12,7,8,10,11,14,14,18,26,23,25,17,15,15,19,27,19,10,5,2,3,13,30,19,27,35,46,50,46,29,25,30,41,43,39,19,17,15,10,5,16,11,12,19,25,25,20,12,11,13,26,14,15,13,10,12,6,8,14,8,15,16,21,25,26,17,14,17,15,29,24,6,7,3,4,14,25,25,21,34,38,51,49,31,22,34,37,42,40,23,18,14,11,5,12,16,10,19,19,26,21,15,6,15,24,15,15,13,11,11,6,9,13,9,11,14,18,25,28,15,16,18,12,27,25,10,7,3,5,19,24,24,22,30,41,45,50,32,20,35,36,36,46,26,16,14,11,4,15,13,11,18,19,24,22,15,7,17,22,15,19,13,11,11,6,15,9,11,11,12,22,21,28,17,13,18,14,21,27,13,5,3,5,20,19,23,24,30,39,46,47,35,27,33,31,39,47,28,16,13,8,6,11,12,12,17,20,24,22,14,11,16,16,19,20,14,10,10,5,14,8,11,12,13,19,22,25,21,16,17,15,20,27,14,6,3,3,18,17,28,22,33,33,42,47,41,33,28,35,37,45,33,16,12,12,7,8,15,11,17,15,23,24,15,13,12,19,20,19,14,12,7,9,11,9,13,11,16,18,19,23,26,20,16,16,17,26,19,4,5,3,16,15,32,20,28,34,36,44,47,30,30,35,40,40,37,15,12,14,6,6,16,11,12,19,18,25,18,12,11,16,26,14,16,12,8,10,10,9,16,9,16,15,18,19,29,18,19,19,14,26,21,3,4,4,15,17,27,28,22,35,35,44,50,32,26,36,36,40,33,21,11,14,6,6,13,16,9,19,16,23,23,15,7,17,25,14,14,12,7,11,9,11,14,12,13,16,19,21,27,17,19,19,11,26,19,9,4,3,11,19,26,27,21,30,40,41,50,33,22,35,36,38,38,23,12,10,5,5,15,13,10,17,16,22,23,14,8,18,22,15,16,12,7,8,6,14,11,14,11,13,24,19,27,19,14,17,14,23,22,11,5,2,15,19,19,27,24,29,34,41,47,33,28,35,30,39,43,23,14,10,5,5,10,14,12,16,16,22,21,13,11,17,17,19,19,11,8,8,10,14,9,13,12,13,18,19,26,20,17,18,13,20,24,12,6,2,16,18,17,29,21,33,31,41,44,37,34,29,34,37,40,28,12,12,7,6,8,15,11,19,13,22,21,13,13,12,19,20,18,13,8,8,9,12,9,14,10,14,18,19,23,24,21,17,15,17,22,15,4,4,22,17,15,33,21,25,35,38,44,43,36,27,32,40,35,30,12,13,9,6,6,17,12,12,18,20,24,17,14,9,16,27,13,14,9,9,13,11,9,16,9,13,17,18,20,26,22,18,16,13,22,16,3,4,23,16,15,26,31,20,36,36,43,46,35,25,33,36,37,28,20,14,12,5,6,12,17,10,19,20,21,21,14,7,16,25,15,13,11,9,11,11,9,14,14,10,17,16,22,25,21,18,17,11,22,15,9,5,23,12,16,26,27,21,27,38,39,49,33,28,32,35,34,30,21,16,13,4,5,15,13,11,14,19,20,23,15,9,15,21,15,15,11,9,10,8,11,11,14,10,13,19,19,26,18,19,17,14,19,15,10,7,17,17,17,20,26,23,28,32,38,49,34,34,31,31,36,33,23,15,11,6,5,11,11,11,15,15,20,22,15,12,15,17,18,18,11,9,6,11,12,9,15,12,13,17,18,27,19,22,16,14,18,15,12,6,14,18,19,15,32,22,24,30,41,49,37,36,26,32,36,35,27,17,9,7,6,7,16,10,14,12,25,24,15,13,10,18,21,17,13,11,5,11,13,8,16,12,10,18,16,25,22,23,16,14,15,18,14,6,14,24,18,11,34,23,17,33,36,50,42,36,28,32,38,31,27,21,8,10,6,5,16,12,8,17,19,27,18,15,8,16,25,13,13,14,6,14,12,6,18,11,9,16,17,23,24,21,20,16,13,18,14,7,8,23,17,13,30,27,15,30,37,45,46,37,29,31,35,33,24,24,4,12,5,5,13,14,8,15,20,22,23,15,7,15,24,14,13,15,4,11,12,8,17,13,7,15,17,23,23,22,22,16,11,19,11,9,9,25,13,17,28,26,17,29,40,40,48,37,29,33,36,32,25,27,3,13,4,6,16,11,10,12,17,20,23,18,8,15,22,15,14,16,6,12,9,11,12,15,7,17,23,20,25,19,21,18,14,17,11,11,10,21,18,18,23,26,24,28,35,42,48,36,32,28,33,33,29,28,3,12,6,5,11,13,12,15,14,22,22,16,11,13,18,17,17,17,7,9,12,13,12,13,12,13,21,20,26,20,21,15,15,16,12,11,10,16,22,19,18,36,22,26,36,39,49,39,33,22,35,33,32,28,3,8,9,6,7,21,10,12,15,21,24,16,13,8,19,20,16,17,7,8,13,13,11,15,12,14,21,18,25,23,20,14,16,13,16,11,14,12,26,19,17,30,23,25,31,36,51,43,33,24,32,37,29,30,8,7,11,6,6,15,11,10,14,18,26,18,14,8,15,25,13,20,6,5,15,13,11,15,12,15,17,18,25,25,19,16,17,12,16,10,13,7,28,20,16,24,30,23,30,34,48,47,35,24,30,34,32,29,7,3,14,7,6,12,15,11,14,17,23,22,16,7,14,22,15,17,6,4,14,13,10,12,15,12,16,17,25,25,19,17,16,12,17,12,17,9,28,15,21,28,30,22,32,35,42,49,36,29,30,32,29,32,10,4,15,5,6,15,15,10,14,15,21,23,18,10,15,19,15,17,7,5,13,10,15,13,15,12,18,20,21,26,18,19,15,13,14,15,19,13,21,19,22,22,31,29,31,32,45,50,37,30,27,28,32,31,12,5,13,6,5,11,17,13,15,12,21,23,16,13,13,16,18,18,7,8,8,13,17,11,14,16,16,20,24,27,21,17,14,12,14,13,23,15,16,22,19,20,35,27,34,35,44,51,38,32,20,29,30,30,14,8,10,8,6,7,19,12,14,15,23,25,14,13,9,17,21,14,9,7,6,14,13,13,16,15,20,20,21,26,24,19,11,12,9,16,90,96,134,167,141,139,136,150,130,125,112,97,113,119,90,71,46,26,44,49,60,77,72,58,76,72,59,59,52,44,55,58,52,50,23,15,46,47,74,90,69,81,60,78,71,66,60,53,58,61,38,21,23,11,86,89,124,162,131,141,142,140,126,126,125,97,101,124,101,71,48,29,42,49,59,73,60,70,72,68,59,60,59,37,51,61,55,55,27,16,44,40,65,89,71,71,70,72,67,66,66,60,50,63,46,16,21,13,80,87,119,154,146,147,127,155,138,124,126,114,93,128,111,71,55,30,36,48,53,64,72,71,64,73,66,58,55,51,47,67,58,52,36,15,44,39,67,90,74,76,63,82,72,66,71,64,46,60,53,19,19,14,85,87,112,138,158,148,135,148,148,125,130,106,100,122,102,78,49,39,42,46,56,55,77,75,64,72,71,56,56,50,44,65,49,53,37,18,43,41,56,83,81,73,71,76,77,69,74,56,56,57,53,25,12,21,69,89,98,136,162,145,137,147,151,128,127,121,98,113,105,79,47,43,33,42,51,60,76,76,56,78,71,55,62,54,41,59,52,56,30,22,36,47,47,76,86,69,81,69,80,73,65,67,57,54,53,23,17,21,65,95,94,134,159,138,154,142,154,135,121,127,92,108,113,78,50,39,30,45,54,60,69,68,74,73,70,66,52,61,38,52,56,53,35,22,35,50,40,74,90,70,80,69,84,69,69,66,54,56,57,25,15,17,68,86,93,118,162,135,151,141,151,129,125,128,95,103,112,80,55,42,30,41,53,57,72,57,79,68,74,58,59,60,33,54,58,49,41,25,38,45,40,61,90,78,72,73,77,71,66,68,62,49,54,31,14,17,71,78,94,119,150,139,148,125,170,134,128,128,109,94,115,86,56,39,32,36,55,54,66,70,70,61,80,64,58,56,46,49,63,48,39,26,39,42,39,65,84,69,78,64,90,70,70,72,63,45,52,38,17,13,66,81,93,116,138,143,144,138,153,145,132,135,107,100,114,80,60,37,29,41,53,60,54,69,70,65,70,74,59,59,51,43,63,42,39,27,37,40,40,56,84,74,74,73,83,71,73,76,56,57,51,38,21,10,63,77,102,105,134,153,135,143,152,144,132,136,119,91,112,81,66,36,30,38,52,57,59,73,69,59,76,74,57,66,56,35,62,44,45,24,33,39,50,48,75,80,66,84,76,70,75,70,63,56,50,37,21,12,64,75,102,98,131,157,137,161,136,154,132,129,126,88,101,96,60,38,31,37,51,59,61,70,66,77,71,73,66,55,63,34,53,52,43,26,33,38,51,39,70,87,71,84,65,81,66,74,63,54,48,44,17,12,50,77,96,101,121,168,129,159,157,153,129,136,128,93,98,101,62,45,21,38,49,59,58,75,57,81,72,75,63,62,62,34,53,55,39,35,29,39,47,42,63,93,72,78,85,78,66,74,66,59,45,46,23,10,61,81,89,105,124,153,155,155,146,163,135,133,122,111,89,103,67,52,31,40,47,63,56,69,75,75,69,75,69,58,55,49,47,60,39,40,30,41,42,42,68,84,80,80,77,88,66,75,67,62,42,43,28,12,56,71,88,106,117,146,154,146,154,151,143,132,135,107,91,106,67,56,28,36,50,61,60,61,75,71,73,69,76,59,60,52,41,64,36,42,28,35,38,45,57,85,79,75,81,82,67,73,75,55,50,42,31,14,65,66,83,108,107,148,155,139,159,153,149,132,135,116,87,100,71,62,32,36,43,57,59,69,74,72,67,78,78,58,62,56,37,60,41,45,33,30,40,51,48,79,81,67,92,75,71,74,73,60,50,40,30,17,68,61,75,105,109,129,153,135,171,139,159,133,128,123,91,90,79,61,35,34,37,53,63,63,65,63,79,71,78,66,54,62,37,53,44,46,33,27,38,52,46,66,88,72,92,68,81,67,74,61,54,37,35,15,78,52,77,100,107,121,149,131,167,158,157,124,133,121,93,89,77,63,41,24,42,51,63,54,70,55,88,73,78,61,61,58,38,51,47,49,37,28,35,49,44,67,79,76,79,85,79,63,72,63,55,38,30,14,75,59,75,90,113,129,131,141,147,151,166,135,127,115,103,78,87,68,38,28,38,47,71,55,58,65,76,72,77,69,56,52,48,44,57,46,37,31,37,43,42,74,73,76,71,79,89,66,71,63,55,34,30,22,78,59,61,91,109,111,127,134,136,145,151,142,121,125,99,82,84,67,40,27,31,51,62,53,50,65,67,69,72,74,56,56,50,42,55,43,38,32,30,40,47,58,77,69,69,76,79,68,65,69,49,40,29,24,76,68,60,83,111,110,128,138,122,148,155,149,123,129,101,77,80,73,35,33,31,42,59,57,55,65,70,59,81,76,55,62,51,37,53,49,41,35,29,41,52,53,73,73,52,89,74,73,68,67,50,40,27,24,70,69,61,78,106,109,122,142,120,155,149,155,129,120,111,73,75,71,34,37,31,38,54,60,55,64,60,73,76,74,66,51,61,32,49,46,36,32,30,40,52,49,67,78,60,82,73,81,63,69,50,41,26,25,71,76,55,75,95,101,116,148,118,148,158,150,125,123,111,78,72,71,30,42,24,38,48,59,53,67,55,79,73,74,62,58,56,33,46,47,41,34,31,37,47,42,63,81,63,69,85,76,63,65,55,45,26,24,64,75,61,76,86,98,123,126,133,142,147,165,130,123,109,93,62,78,28,37,31,39,44,59,54,52,69,75,72,77,67,55,50,45,36,50,36,38,30,37,42,39,69,74,64,67,75,88,63,68,59,48,26,28,65,77,58,67,90,97,106,131,136,134,148,155,138,125,119,85,69,73,26,38,27,36,51,53,52,52,72,74,69,72,73,56,52,44,36,48,39,39,31,31,39,44,54,79,64,60,79,83,65,69,67,41,33,25,58,76,63,65,80,102,99,126,137,128,144,157,147,122,123,88,61,78,21,33,32,36,40,54,50,54,65,76,61,77,75,55,60,45,31,53,37,43,31,29,40,48,49,72,72,52,83,80,72,67,63,43,30,25,54,71,66,67,81,99,98,113,143,119,161,145,148,123,115,98,62,86,21,30,35,34,41,50,54,49,64,61,78,75,68,64,51,54,29,59,33,41,31,33,40,49,44,64,79,58,83,70,80,59,64,44,33,27,58,82,103,107,104,112,120,124,103,107,80,94,114,119,109,104,54,43,29,48,56,60,53,41,64,51,31,42,35,50,48,56,52,59,30,22,29,34,47,47,51,71,56,73,72,65,45,44,66,63,57,45,24,21,56,66,99,110,94,115,117,127,86,107,96,85,109,115,103,109,78,39,29,39,50,63,48,46,56,55,28,42,36,42,50,58,45,60,48,18,27,27,49,47,46,69,61,72,58,65,60,43,59,57,58,49,30,21,52,67,86,117,93,111,112,128,94,105,101,80,106,111,102,105,78,46,25,38,44,64,51,48,47,60,32,44,36,35,57,49,50,56,49,22,27,29,42,53,42,63,65,68,62,61,65,45,49,62,52,49,29,24,50,62,79,112,98,100,115,131,100,105,105,83,94,111,99,108,80,45,25,32,45,57,55,46,47,56,44,39,40,34,51,50,50,56,50,24,25,30,34,55,43,54,68,75,56,66,65,49,43,61,49,52,30,21,46,56,75,101,106,97,105,119,115,106,108,76,93,106,105,101,76,46,23,29,39,52,58,44,43,59,47,36,42,33,47,48,53,49,52,25,23,27,36,49,48,53,62,60,68,70,66,43,46,58,52,52,24,21,36,61,70,109,93,91,106,122,122,105,106,85,76,116,100,92,78,46,16,30,41,58,45,42,41,60,56,37,39,34,43,52,53,45,51,24,20,31,29,51,48,49,65,62,66,68,67,51,33,64,47,47,27,22,32,57,60,93,99,80,102,106,122,86,112,93,81,99,103,83,71,50,15,27,35,45,50,39,42,49,56,31,44,33,41,48,56,39,48,30,17,30,25,48,49,41,60,57,66,55,68,60,40,51,47,44,23,20,33,52,65,85,109,78,102,102,128,88,107,101,71,97,98,84,75,55,14,24,33,41,54,37,47,46,60,30,44,36,33,52,46,44,49,32,19,28,32,44,55,41,55,56,68,58,63,65,38,45,52,40,26,23,31,52,58,76,105,76,88,107,131,92,105,102,74,85,97,85,76,54,14,24,29,42,49,37,40,48,58,40,40,41,31,50,44,44,45,33,17,28,29,34,56,39,48,59,73,52,65,61,43,35,53,41,31,21,24,44,54,73,99,78,83,104,122,109,97,108,74,79,95,92,71,56,11,20,27,38,46,37,39,44,62,45,32,45,32,42,43,51,39,37,13,24,27,35,53,41,44,60,60,64,65,63,42,37,52,41,32,19,28,39,57,66,100,79,65,104,118,122,92,107,85,68,100,91,62,59,11,17,27,36,50,32,32,42,61,53,30,44,35,38,45,51,33,40,17,22,30,30,50,47,33,62,57,69,62,63,50,30,55,40,29,19,28,33,59,60,91,85,77,97,111,125,88,110,89,70,94,87,62,61,14,15,26,33,44,39,38,39,53,56,31,45,30,36,46,47,32,42,14,18,33,27,47,46,39,58,58,69,57,65,59,34,48,40,30,19,22,33,52,60,83,84,63,100,104,127,91,103,102,67,88,85,63,58,14,14,24,31,42,40,28,46,43,61,32,44,35,30,50,39,35,36,8,19,28,29,41,44,35,54,61,66,59,59,67,37,38,46,28,22,20,27,49,61,78,78,64,89,110,134,94,103,101,73,80,80,64,62,12,11,22,31,41,36,26,42,46,59,41,39,40,31,47,36,35,39,8,16,27,30,37,42,38,47,64,75,53,64,61,42,33,44,29,23,17,18,47,54,71,81,67,78,102,118,117,95,108,75,74,79,69,65,9,8,21,29,36,39,29,36,41,62,48,32,44,32,42,37,37,40,8,10,26,25,35,42,38,42,61,56,69,63,64,43,32,42,32,25,15,27,38,55,61,81,71,63,101,119,123,96,107,87,62,84,71,58,10,10,17,28,33,40,29,29,39,62,54,32,42,35,37,41,37,39,5,17,21,27,28,41,42,34,62,57,69,64,65,52,25,43,34,19,20,27,30,56,58,79,67,68,97,107,133,88,107,93,63,78,65,69,10,13,14,26,32,39,28,30,40,52,56,32,44,31,34,44,32,46,10,14,16,30,26,40,39,38,57,55,77,56,63,62,29,34,33,23,26,22,32,51,55,75,73,63,98,95,131,96,99,104,63,73,61,63,10,15,14,23,29,36,31,26,43,41,63,36,40,37,30,45,28,41,16,7,18,28,26,39,42,37,55,54,68,60,59,67,33,28,33,22,31,20,29,49,58,71,70,62,87,104,134,93,95,103,67,67,56,64,14,14,12,21,31,31,29,27,42,43,61,41,35,40,29,40,28,38,17,6,17,28,27,40,41,35,45,61,73,52,60,63,38,27,28,26,33,22,27,47,54,61,69,70,81,100,127,107,92,106,70,62,54,67,16,13,12,19,27,28,29,30,40,37,67,43,33,41,27,35,29,42,17,9,15,28,27,33,40,40,41,63,60,64,59,65,43,27,25,25,32,21,26,37,56,53,69,64,66,105,115,115,91,98,80,50,57,72,18,13,11,17,25,28,32,24,31,39,57,51,33,37,29,29,30,44,14,8,15,20,31,25,37,40,35,66,58,64,58,61,51,21,27,28,34,23,27,28,56,52,67,57,72,100,110,122,82,101,84,49,61,68,18,10,15,13,24,26,29,23,33,38,51,54,31,41,26,24,34,41,16,13,12,15,32,26,38,34,39,62,59,68,51,60,58,25,27,27,33,34,24,28,53,47,64,68,63,100,100,129,85,95,91,49,50,67,18,13,17,12,24,21,28,28,26,45,40,63,32,41,29,20,31,37,15,21,7,16,29,26,36,40,37,55,60,66,53,54,62,29,19,30,29,32,25,25,49,43,60,68,59,89,103,134,89,92,89,56,47,66,13,14,16,10,22,18,29,26,23,42,42,61,40,36,34,21,29,38,16,18,9,15,27,25,31,42,36,47,61,73,49,56,55,35,18,28,29,33,21,20,46,46,56,76,59,81,100,122,106,95,90,58,51,64,15,14,12,9,21,20,25,33,22,40,35,64,45,35,36,21,31,34,14,19,9,11,25,26,31,43,37,41,65,58,61,60,54,37,20,30,32,32,22,24,37,46,55,71,65,66,101,114,111,92,87,68,43,65,14,16,13,10,17,20,23,33,25,30,37,56,50,36,35,24,26,37,18,16,9,14,20,26,32,38,40,36,64,58,61,56,52,44,17,28,36,34,55,75,82,66,64,59,62,57,59,51,69,84,54,50,35,27,15,15,33,32,39,31,31,23,33,28,29,20,33,41,27,28,18,16,21,19,22,43,43,35,33,36,29,29,30,31,36,44,27,22,17,11,34,30,54,60,86,64,76,58,65,62,59,52,63,81,60,42,35,25,17,15,28,24,46,28,36,24,30,36,26,23,28,38,28,22,19,17,17,15,25,35,39,35,39,33,34,25,32,28,34,42,31,20,16,8,34,32,44,58,86,69,64,57,73,63,59,51,58,84,61,44,44,24,18,15,21,29,41,32,31,22,34,33,28,21,25,41,32,20,26,16,16,17,22,28,46,36,32,34,38,29,30,29,32,44,28,23,17,8,33,32,39,54,83,74,65,59,69,64,61,56,52,76,61,49,37,31,18,15,19,29,39,32,34,22,31,36,28,29,18,41,30,24,23,20,15,17,20,25,44,42,31,37,38,28,33,27,34,35,31,25,14,11,27,30,39,51,82,75,55,70,61,67,58,59,53,66,71,49,40,34,14,14,18,30,34,33,26,31,25,38,26,28,18,36,35,26,25,21,13,16,21,21,48,42,29,39,36,29,32,31,35,30,36,23,15,13,24,35,38,48,81,82,50,77,66,66,63,56,54,60,76,52,34,38,11,19,18,27,32,40,20,37,26,33,32,27,21,29,34,29,19,24,13,16,20,21,49,42,30,40,40,33,31,29,33,31,42,23,15,14,26,37,33,52,70,96,55,79,63,75,67,61,52,62,77,53,37,33,10,22,16,28,26,48,22,37,28,34,37,27,24,28,36,25,21,20,16,15,17,24,44,48,33,42,35,41,30,34,28,34,41,28,16,13,26,36,38,46,64,108,69,74,65,85,70,63,52,56,82,54,35,33,11,21,18,21,28,49,29,36,24,40,36,29,24,24,39,29,16,20,15,15,20,25,36,59,40,38,41,45,34,34,28,32,43,25,19,13,34,37,34,43,60,100,76,72,67,84,73,63,55,53,76,54,38,34,17,22,16,19,30,43,27,38,25,36,38,27,30,19,40,26,17,21,17,15,18,24,30,57,49,34,42,48,35,36,25,34,36,28,21,13,35,29,38,50,52,91,84,63,84,72,76,59,56,54,68,69,36,36,19,16,21,21,29,35,37,33,37,28,43,24,29,19,37,36,17,22,16,13,17,29,23,56,47,30,47,44,33,35,27,35,31,33,19,14,39,28,36,44,55,93,92,64,81,78,76,64,55,54,60,76,39,33,20,12,21,20,29,32,46,28,39,30,36,33,27,21,29,36,23,19,19,16,15,24,26,61,46,36,42,48,40,31,28,33,31,40,16,14,37,29,41,42,60,76,104,65,85,73,77,66,60,54,55,69,38,32,19,12,24,21,31,26,50,28,40,29,34,37,26,24,25,33,20,20,18,17,17,21,29,50,54,37,45,44,43,29,34,30,30,36,18,12,38,34,37,42,45,70,112,67,82,73,88,67,59,51,53,68,41,26,23,13,21,21,18,28,48,34,40,22,43,33,31,22,22,34,22,16,15,21,16,21,27,42,64,33,42,51,45,34,28,29,31,34,19,10,42,35,39,35,48,66,98,77,82,75,89,68,60,57,54,59,42,29,25,16,22,17,16,32,39,35,44,26,40,39,29,28,19,32,21,16,17,19,17,18,32,34,59,42,38,49,49,29,31,29,35,27,21,13,44,32,34,36,47,66,88,87,69,87,81,72,64,55,54,56,52,32,22,14,16,19,17,32,31,39,33,37,33,43,28,26,20,29,31,17,22,18,18,17,30,34,57,48,36,50,48,29,36,29,34,27,21,15,33,39,32,43,37,51,83,90,67,88,84,70,62,55,49,49,56,37,19,16,13,22,15,22,29,43,30,43,31,36,31,26,20,24,31,22,14,23,19,21,22,29,54,47,37,45,53,34,31,29,29,25,25,15,40,40,25,46,36,51,76,94,67,90,77,81,62,58,48,51,51,37,15,19,11,24,17,25,26,44,28,43,29,39,36,25,21,23,31,20,25,21,14,22,19,26,50,50,39,47,48,42,26,33,27,28,20,17,35,38,29,41,44,34,75,97,62,80,74,88,66,54,47,48,57,33,15,20,12,19,22,12,31,42,28,39,24,42,36,28,20,21,33,19,20,18,17,22,22,22,44,55,34,41,50,46,30,26,27,27,24,14,33,43,32,35,45,37,72,93,71,78,75,89,69,51,57,42,48,40,14,22,16,16,23,15,32,39,27,39,29,39,42,26,28,14,30,24,19,21,16,19,22,22,40,54,44,39,46,50,27,25,29,28,18,16,39,44,36,32,45,43,67,88,83,62,84,78,76,53,55,38,46,43,16,20,18,16,23,13,33,34,33,32,36,31,45,27,25,12,25,29,23,24,18,16,22,30,34,54,50,30,48,47,31,26,30,26,21,14,43,42,40,29,48,42,64,86,83,66,89,81,76,55,58,44,39,55,18,22,17,16,23,17,31,34,38,29,44,31,39,30,27,15,23,34,25,20,23,13,25,25,33,52,45,37,45,50,37,25,31,29,16,21,40,40,48,30,47,44,58,80,99,64,98,74,80,58,55,43,39,53,14,19,24,16,24,18,32,31,47,28,45,30,38,34,26,17,17,33,26,21,24,14,23,26,26,49,52,36,53,44,42,24,29,26,22,20,41,38,41,39,43,42,47,78,103,72,89,77,85,63,53,49,33,54,16,18,24,15,21,21,17,36,47,32,42,25,43,32,29,21,11,34,25,20,17,24,22,21,30,42,56,40,47,52,42,31,24,28,22,20,41,34,43,36,44,51,44,73,94,80,85,86,83,65,48,57,30,52,16,16,25,16,20,28,16,36,43,32,43,30,38,38,23,27,9,32,25,18,18,20,24,23,28,37,51,48,42,56,45,27,25,30,21,20,29,44,43,38,38,53,43,66,86,89,76,101,80,71,49,54,32,56,13,19,21,16,17,30,16,33,39,40,38,43,35,40,24,25,11,32,16,25,22,22,21,23,27,33,47,49,38,58,45,31,25,29,21,24,25,46,48,43,35,56,47,57,92,89,76,103,88,71,54,52,34,52,10,19,28,17,14,31,23,28,39,43,36,47,38,34,30,25,13,29,15,27,20,26,21,25,24,29,53,46,40,56,50,37,24,27,21,23,260,291,357,507,479,514,469,518,419,342,358,276,347,354,246,177,118,87,121,128,188,258,234,256,231,261,206,163,174,147,184,183,120,102,86,65,139,163,169,249,245,258,238,257,213,178,183,128,162,170,126,75,32,22,240,259,345,486,516,514,509,521,446,380,351,298,327,363,263,197,119,103,107,121,170,246,258,246,258,265,215,181,183,155,163,200,131,108,82,78,133,138,175,240,258,268,251,256,231,199,168,143,164,163,132,89,37,25,255,280,320,457,533,500,516,544,470,393,361,313,301,372,289,197,119,109,107,133,153,231,256,242,270,283,224,191,184,163,147,211,146,104,84,80,148,147,166,226,278,258,247,262,247,202,177,150,155,162,144,93,34,29,269,255,335,415,557,514,563,520,526,397,374,337,290,368,292,216,126,102,128,111,159,206,278,254,291,259,263,188,181,177,147,200,154,113,87,75,141,144,176,209,279,260,272,261,263,209,193,160,143,168,138,103,39,27,260,262,311,389,548,517,603,525,530,419,362,369,296,350,327,219,133,109,127,123,135,202,277,255,308,262,267,202,172,187,159,190,175,110,89,85,133,139,176,187,271,262,295,263,263,217,190,182,137,160,152,109,44,24,266,279,299,357,516,548,611,543,567,438,381,394,298,341,344,219,135,113,128,128,133,178,261,273,306,271,292,209,180,196,159,182,186,118,83,89,138,151,166,179,255,275,305,272,275,229,201,198,139,159,158,101,52,24,290,275,271,364,533,564,617,583,564,481,417,380,309,345,351,246,133,115,146,112,128,173,270,293,291,296,291,234,197,193,163,178,198,129,80,85,144,163,143,191,263,271,326,287,273,247,220,187,146,167,153,117,53,30,287,269,288,337,506,597,583,600,571,507,430,390,328,319,364,257,146,127,145,109,139,157,259,293,288,314,296,252,205,193,167,164,209,139,83,93,142,160,149,180,247,304,295,286,275,255,225,197,161,155,155,118,63,34,304,271,276,350,468,642,635,625,545,567,443,411,367,303,359,260,175,116,147,122,116,167,236,311,306,322,275,286,210,201,193,157,199,147,98,84,157,149,160,183,232,331,329,303,270,281,233,210,174,146,160,113,77,32,336,287,290,344,453,649,681,680,582,588,480,410,381,297,346,292,178,119,156,134,127,154,238,325,325,337,291,302,234,190,192,160,192,163,100,88,180,153,163,190,215,324,356,343,291,286,246,220,189,137,154,129,78,31,363,310,306,336,446,661,738,701,606,622,509,427,425,299,339,314,185,120,148,148,135,149,220,341,343,353,305,324,243,204,207,165,186,175,111,87,215,162,171,187,226,320,395,348,301,298,266,223,218,134,153,139,74,33,399,343,325,322,451,678,760,728,655,632,534,461,431,315,315,319,202,128,172,163,137,148,218,348,364,345,333,322,256,228,217,164,172,187,118,90,227,180,188,174,233,330,396,383,322,310,278,233,214,151,143,132,84,38,455,344,340,331,433,653,790,737,691,638,571,478,444,340,302,321,214,147,197,169,137,157,212,330,377,364,351,328,275,233,224,177,158,192,120,102,258,175,203,174,221,323,413,373,340,310,296,245,220,163,144,129,94,45,480,365,353,310,437,591,772,791,714,623,617,493,460,381,285,322,215,156,218,181,153,137,209,306,380,383,368,314,310,242,231,198,154,186,128,105,262,184,200,173,228,285,392,408,346,309,307,251,229,183,131,136,87,51,475,402,354,328,412,551,764,805,753,636,641,515,450,391,298,306,242,166,215,194,157,147,193,292,379,384,372,317,327,256,226,197,162,176,143,111,260,208,197,181,219,259,385,421,381,319,314,259,224,194,136,130,99,55,445,422,355,344,379,495,709,828,757,636,667,519,464,421,291,303,253,163,208,193,163,150,176,262,365,395,374,320,340,255,231,214,163,169,152,104,237,229,192,194,203,233,344,433,383,316,327,264,233,207,128,134,101,59,446,445,367,351,346,500,712,790,767,671,652,562,478,422,305,291,259,188,216,222,176,138,171,254,370,393,357,341,326,279,239,222,162,160,163,118,230,223,191,213,175,246,342,397,410,330,326,283,239,200,143,131,96,70,401,486,363,354,342,458,690,792,765,707,645,585,498,425,323,286,262,198,191,245,178,138,167,235,364,377,367,362,328,289,243,222,169,155,163,128,210,241,185,216,175,223,326,415,398,345,317,296,255,203,154,131,99,70,406,483,382,362,329,459,631,778,790,722,614,616,503,436,361,267,260,213,196,235,185,156,155,226,336,385,372,364,305,311,248,223,189,146,151,143,210,248,197,206,174,233,295,393,418,358,309,305,255,213,172,121,109,70,409,469,414,350,340,407,573,771,796,749,616,632,498,437,367,270,241,240,202,234,195,151,161,190,313,385,389,368,299,327,256,223,186,150,144,159,207,235,219,199,179,217,260,386,407,381,317,305,242,214,181,120,97,81,419,465,436,354,368,389,513,751,801,769,628,647,515,456,400,268,231,235,206,240,199,163,165,194,273,393,383,385,308,331,255,238,203,153,139,159,213,225,237,191,203,195,240,358,418,384,320,316,260,218,197,115,92,76,397,468,449,367,368,352,500,762,800,776,664,626,565,467,404,280,222,249,208,229,221,175,150,177,264,397,389,366,334,314,285,242,217,151,129,174,189,239,228,192,218,175,236,365,411,410,330,312,280,225,187,129,93,75,393,428,497,381,363,356,462,728,812,780,705,637,574,486,408,301,226,245,207,215,240,189,145,184,234,391,385,379,363,323,288,248,220,163,126,168,186,213,257,192,218,172,228,337,427,401,342,314,286,238,188,138,100,77,390,420,499,407,359,331,455,677,819,806,721,618,605,498,418,332,218,254,199,209,242,199,159,159,226,366,399,390,368,308,317,256,217,181,126,175,191,211,257,208,200,172,229,311,420,416,353,310,288,242,201,151,92,79,371,426,494,442,374,349,433,631,843,829,750,640,649,522,422,351,221,279,181,224,246,208,169,164,207,343,413,402,372,315,346,268,219,185,124,191,190,202,248,234,205,185,226,288,430,427,378,325,303,254,203,166,97,88,324,441,482,456,377,378,416,579,831,861,773,665,665,546,435,381,225,280,169,227,252,213,173,171,199,298,415,414,393,336,340,277,227,205,133,189,155,214,230,243,204,207,217,281,416,447,380,329,325,269,208,176,92,91,9,10,18,34,23,34,24,34,36,20,22,17,34,26,19,16,15,8,4,2,7,16,7,15,13,16,14,9,13,7,17,11,11,10,9,2,5,8,11,18,16,19,11,18,22,11,9,10,17,15,8,6,6,6,8,11,15,30,25,29,26,25,37,32,22,19,24,34,20,18,13,6,5,2,5,16,8,11,15,12,19,6,14,10,11,17,9,11,7,2,3,9,10,14,17,18,11,13,18,26,8,9,13,17,11,7,6,4,7,10,12,26,25,30,30,21,39,33,25,22,20,38,18,19,14,8,4,4,2,14,9,8,18,11,18,9,15,11,8,20,6,11,8,4,3,6,10,12,16,22,12,10,21,24,10,11,12,18,12,8,6,4,6,12,12,26,27,23,33,19,37,41,20,26,17,39,18,19,15,8,3,5,2,14,12,6,15,12,17,14,11,13,8,20,5,12,9,5,3,7,10,12,15,17,18,7,20,27,9,13,9,19,13,7,6,3,6,11,11,19,33,26,27,21,37,40,26,25,18,35,23,19,12,14,3,4,3,8,16,8,11,12,16,15,10,13,8,19,6,11,9,7,3,7,8,11,17,18,16,9,21,25,16,12,10,16,17,8,3,7,5,11,8,15,34,24,35,24,33,38,38,28,22,26,32,18,14,14,0,5,1,6,19,5,15,12,15,17,12,14,10,12,13,10,9,7,5,6,7,9,15,19,20,12,18,21,26,14,12,14,19,8,5,7,6,7,10,12,27,28,29,32,26,43,40,31,26,26,34,18,14,15,0,5,1,4,15,8,11,16,10,20,11,16,13,10,15,8,9,8,6,2,9,8,12,20,18,16,16,23,29,15,13,16,19,10,5,7,8,8,8,10,26,26,32,33,17,44,43,31,25,22,36,18,13,15,3,3,3,2,14,9,10,16,8,19,12,18,12,7,18,5,9,8,5,5,5,8,12,17,22,17,9,25,31,13,13,15,18,13,4,7,9,8,9,10,24,25,22,37,22,37,48,26,33,20,34,17,15,13,4,2,4,2,11,13,7,13,11,16,16,14,17,8,16,4,11,7,5,6,5,8,13,12,15,24,11,21,32,12,16,12,18,13,4,6,9,7,9,11,18,29,27,32,28,35,42,31,34,21,31,22,15,11,4,3,3,3,7,15,8,9,13,16,14,15,17,9,17,5,10,6,5,4,6,8,11,14,19,23,15,19,28,16,17,12,14,17,5,5,7,7,11,11,19,35,25,40,31,35,38,41,32,30,23,31,14,11,3,2,5,4,10,18,7,14,12,17,16,15,16,14,12,12,9,7,4,5,6,7,9,17,18,26,19,18,22,26,16,16,11,19,5,4,7,8,9,13,17,31,28,29,39,25,43,40,36,27,25,32,15,10,3,3,5,2,9,15,9,9,15,12,21,11,18,13,10,15,7,7,4,5,4,11,8,16,19,20,24,13,22,29,18,14,15,17,8,3,5,8,9,10,19,33,29,31,45,18,41,46,34,32,20,34,13,15,3,4,4,4,5,17,12,8,17,10,20,14,19,13,8,17,4,13,2,4,5,6,14,16,17,23,28,8,21,32,15,19,12,17,9,2,9,8,9,12,19,35,37,22,45,23,39,46,32,39,17,32,12,13,5,5,3,5,6,16,18,6,14,12,17,16,14,17,8,15,4,11,4,3,6,7,13,19,19,16,31,11,22,30,18,22,9,17,8,2,7,9,7,11,18,26,32,29,34,33,35,41,34,38,18,29,20,13,4,5,3,4,7,12,16,9,11,15,17,13,15,15,9,16,6,11,3,4,4,7,11,14,16,20,23,18,18,28,19,23,9,13,14,2,8,6,8,14,15,20,40,26,35,31,33,34,41,33,26,19,28,11,4,4,2,7,6,9,19,6,12,11,17,13,14,14,11,10,10,9,4,2,6,7,9,11,21,20,23,20,16,21,27,19,15,9,18,2,11,8,7,9,18,17,32,31,30,40,26,40,38,38,22,22,29,12,5,6,2,5,8,6,15,8,10,13,14,17,11,16,11,9,12,9,6,2,5,4,10,11,17,23,20,27,12,23,27,22,11,13,17,3,15,7,8,6,14,19,32,28,34,40,16,42,42,35,25,18,27,14,5,5,4,2,7,6,14,9,9,12,9,18,12,19,10,8,14,9,10,2,4,4,7,13,18,19,25,28,7,24,30,16,15,10,13,5,10,8,9,7,12,16,29,29,25,40,21,39,42,28,35,15,25,14,4,5,6,2,6,6,12,8,6,12,11,17,13,14,16,7,13,8,6,3,3,5,6,10,17,21,19,28,10,22,29,14,19,8,12,6,11,7,9,8,12,14,22,29,30,33,32,37,35,31,35,15,22,17,5,5,5,4,4,5,7,12,8,10,15,17,10,15,13,7,13,8,6,2,4,4,8,9,15,17,22,23,17,20,25,16,22,8,9,9,8,9,8,10,15,12,16,35,29,33,34,37,27,38,32,22,15,22,3,5,5,3,7,4,5,15,7,10,14,19,9,14,13,10,10,12,5,4,3,7,8,8,11,20,22,23,20,18,18,24,19,12,5,10,6,6,12,10,12,15,14,28,32,33,41,28,33,36,36,19,19,20,2,3,9,4,6,6,4,11,10,11,16,14,14,11,16,10,9,11,4,3,3,6,6,9,10,17,22,22,25,14,19,25,20,9,10,9,7,8,6,9,12,14,15,24,28,32,42,18,38,41,31,24,14,24,3,4,4,3,6,7,3,9,8,10,15,11,15,12,19,10,7,14,4,4,2,6,6,7,12,15,20,22,27,7,23,29,12,14,7,10,8,6,7,9,12,12,15,24,30,24,46,25,36,43,26,30,13,21,1,2,6,4,5,5,6,8,10,7,15,14,15,13,14,13,7,12,7,4,1,5,7,7,9,16,20,17,31,11,21,30,12,17,6,9,9,7,7,11,13,12,18,16,36,34,40,32,34,36,29,28,13,22,1,3,6,3,8,4,8,5,10,12,15,15,15,10,15,12,7,13,8,4,1,8,5,8,10,11,26,22,25,17,19,26,14,16,6,9,8,6,6,10,11,15,19,13,40,31,36,28,36,27,34,26,17,17,2,3,3,4,3,6,7,5,13,9,13,13,18,8,13,12,9,10,6,3,3,6,8,9,12,8,27,22,23,15,18,19,21,14,8,7,2071,2664,3354,5182,5065,4412,4217,4677,4330,4148,3044,2634,3297,3008,2466,1680,1175,775,996,1295,1613,2570,2477,2193,2129,2454,2252,2097,1524,1394,1768,1601,1382,996,760,568,1075,1369,1741,2613,2588,2218,2088,2222,2078,2051,1519,1240,1528,1407,1083,684,415,207,1808,2413,3162,4648,5174,4342,4214,4412,4394,4233,3427,2495,3143,3083,2578,1823,1229,915,864,1163,1550,2285,2549,2123,2138,2305,2306,2135,1716,1299,1666,1690,1431,1089,790,664,944,1250,1612,2363,2625,2219,2076,2107,2088,2098,1711,1196,1477,1393,1147,734,439,251,1835,2262,2963,4368,5146,4395,4065,4243,4499,4228,3610,2603,2909,3122,2652,1960,1218,993,883,1088,1459,2130,2534,2171,2024,2219,2334,2173,1825,1335,1550,1718,1480,1158,784,720,951,1174,1504,2239,2612,2225,2041,2024,2165,2055,1785,1269,1358,1404,1172,801,433,273,1670,2158,2785,3945,5120,4376,4003,4106,4500,4188,3829,2740,2601,3166,2699,2019,1241,1043,812,1052,1338,1937,2528,2149,2002,2122,2331,2190,1940,1404,1404,1737,1510,1188,796,760,858,1106,1447,2008,2592,2227,2001,1984,2169,1998,1889,1336,1197,1429,1189,831,445,283,1770,2038,2618,3649,5011,4535,4025,3987,4489,4124,3970,2859,2504,3136,2708,2108,1277,1101,872,982,1265,1779,2487,2195,2032,2035,2359,2151,2019,1461,1360,1738,1496,1254,811,799,898,1056,1353,1870,2524,2340,1993,1952,2130,1973,1951,1398,1144,1398,1212,854,466,302,1811,2019,2486,3429,4827,4825,4093,4057,4424,4170,4005,3057,2447,3112,2737,2232,1330,1119,887,997,1191,1679,2375,2356,2019,2067,2290,2179,2065,1539,1327,1720,1532,1319,829,807,924,1022,1295,1750,2452,2469,2074,1990,2134,1991,1940,1518,1120,1392,1205,913,501,312,1947,2010,2442,3231,4628,4937,4158,4137,4343,4299,4057,3280,2365,2991,2873,2315,1437,1188,961,983,1161,1599,2250,2387,2067,2076,2260,2255,2061,1673,1277,1625,1646,1349,911,848,986,1027,1281,1632,2378,2550,2091,2061,2083,2044,1996,1607,1088,1366,1227,966,526,340,2016,1992,2349,3017,4367,5027,4267,4078,4208,4371,4076,3458,2456,2738,2892,2368,1529,1198,977,974,1124,1482,2127,2407,2115,2031,2194,2250,2102,1779,1295,1497,1656,1374,961,870,1039,1018,1225,1535,2240,2620,2152,2047,2014,2121,1974,1679,1161,1241,1236,994,568,328,2150,1953,2294,2869,4018,5020,4234,4075,4134,4402,4072,3684,2617,2480,2962,2411,1632,1223,1053,963,1112,1376,1964,2428,2070,2043,2110,2270,2125,1904,1373,1379,1685,1390,1027,880,1097,990,1182,1493,2054,2592,2164,2032,2024,2132,1947,1780,1244,1101,1277,1021,605,343,2209,2014,2148,2728,3794,4822,4465,4045,4080,4437,4055,3821,2753,2391,2941,2419,1737,1284,1093,997,1048,1315,1853,2329,2141,2042,2060,2321,2106,1976,1440,1335,1691,1390,1084,927,1116,1017,1100,1413,1941,2493,2324,2003,2020,2116,1949,1845,1313,1056,1250,1029,653,357,2263,2004,2105,2554,3517,4520,4471,3963,4036,4374,4045,3843,2887,2306,2891,2465,1817,1357,1128,969,1060,1232,1735,2194,2177,1989,2067,2237,2119,2009,1490,1274,1664,1437,1132,957,1135,1035,1045,1322,1782,2326,2294,1974,1969,2137,1926,1834,1397,1032,1227,1028,685,400,2397,2067,2062,2544,3383,4415,4536,4064,4036,4269,4188,3902,3117,2268,2783,2546,1876,1457,1192,1004,1009,1231,1681,2098,2206,2016,2079,2189,2198,2011,1633,1252,1571,1513,1166,1022,1205,1063,1053,1313,1702,2317,2330,2048,1957,2080,1990,1891,1484,1016,1212,1033,710,435,2482,2160,2083,2448,3191,4187,4604,4210,4037,4134,4265,3920,3307,2353,2585,2580,1904,1497,1236,1045,1021,1181,1562,1979,2225,2106,2049,2133,2211,2043,1742,1283,1459,1536,1188,1061,1246,1115,1062,1267,1629,2208,2379,2104,1988,2001,2054,1877,1565,1070,1126,1044,716,436,2474,2289,2046,2422,3019,3898,4637,4197,4059,4048,4327,3903,3526,2506,2341,2651,1972,1573,1206,1125,1001,1171,1467,1863,2265,2077,2048,2066,2236,2056,1860,1356,1347,1579,1221,1121,1268,1164,1045,1251,1552,2035,2372,2120,2011,1982,2091,1847,1666,1150,994,1072,751,452,2527,2269,2068,2298,2847,3656,4460,4357,4006,3975,4344,3889,3650,2620,2237,2643,1993,1714,1234,1135,1016,1097,1393,1776,2158,2139,2051,2026,2272,2047,1908,1418,1292,1582,1220,1216,1293,1134,1052,1201,1454,1880,2302,2218,1955,1949,2072,1842,1742,1202,945,1061,773,498,2474,2375,2078,2257,2731,3382,4254,4399,4008,3977,4295,3943,3711,2772,2179,2611,2055,1796,1225,1196,1015,1099,1337,1673,2040,2164,2032,2058,2232,2076,1965,1479,1243,1569,1259,1286,1249,1179,1063,1158,1394,1709,2214,2235,1976,1919,2063,1867,1746,1293,936,1042,796,510,2291,2457,2114,2197,2616,3122,4066,4391,4023,3966,4145,4049,3765,2988,2130,2498,2154,1855,1146,1241,1033,1061,1274,1549,1924,2166,2022,2041,2149,2149,1977,1602,1213,1477,1343,1314,1145,1216,1081,1136,1342,1573,2142,2225,2001,1925,1996,1900,1788,1386,917,1021,811,541,2219,2449,2160,2141,2508,2910,3780,4355,4085,3897,3982,4099,3767,3141,2214,2346,2186,1957,1093,1241,1065,1034,1206,1443,1828,2157,2073,1982,2078,2159,2007,1697,1242,1377,1372,1370,1126,1208,1095,1107,1302,1467,1952,2198,2012,1915,1904,1940,1760,1444,972,969,814,587,2093,2417,2233,2092,2420,2788,3422,4329,4008,3894,3873,4142,3708,3377,2341,2118,2220,2021,1045,1200,1099,1026,1146,1354,1667,2183,2017,1977,2015,2169,2017,1818,1308,1258,1391,1401,1048,1217,1134,1066,1274,1434,1755,2146,1991,1917,1858,1973,1691,1559,1033,860,829,620,1894,2445,2238,2116,2291,2648,3200,4107,4137,3826,3789,4146,3675,3485,2451,2032,2217,2122,948,1221,1110,1042,1085,1296,1559,2039,2052,1984,1977,2197,1982,1884,1368,1210,1387,1460,946,1224,1128,1074,1206,1352,1641,2068,2085,1842,1812,1949,1693,1601,1083,822,830,662,1788,2362,2310,2098,2226,2448,2936,3856,4121,3827,3737,4092,3724,3525,2606,1986,2176,2216,883,1171,1157,1011,1080,1199,1457,1889,2086,1953,1969,2161,2006,1931,1430,1183,1377,1535,905,1191,1153,1087,1146,1249,1479,1967,2035,1874,1768,1931,1718,1594,1176,803,799,681,1697,2269,2390,2132,2172,2361,2753,3685,4149,3822,3750,3949,3831,3567,2795,1943,2084,2338,822,1131,1204,1030,1042,1148,1387,1801,2124,1931,1969,2100,2090,1928,1540,1151,1309,1639,875,1138,1186,1102,1130,1213,1366,1884,2025,1891,1781,1849,1741,1639,1255,792,775,699,1657,2197,2371,2220,2196,2307,2614,3500,4137,3902,3741,3787,3936,3605,2949,2022,1949,2404,795,1084,1208,1075,1058,1081,1314,1711,2100,1995,1932,2035,2123,1964,1632,1188,1211,1686,862,1113,1163,1145,1138,1226,1300,1789,2037,1907,1809,1752,1813,1641,1317,834,738,718,1645,2130,2410,2284,2201,2322,2554,3272,4176,3918,3800,3759,4013,3580,3175,2134,1789,2435,773,1060,1216,1133,1051,1090,1284,1601,2113,2005,1965,1993,2143,1976,1757,1247,1125,1700,872,1070,1194,1151,1150,1232,1270,1671,2063,1913,1835,1766,1870,1604,1418,887,664,735,1554,1963,2461,2280,2209,2213,2522,3073,4017,4083,3817,3681,4024,3562,3304,2240,1723,2511,720,991,1227,1134,1058,1019,1263,1518,2024,2059,2007,1956,2180,1955,1839,1295,1084,1748,834,972,1234,1146,1151,1194,1259,1555,1993,2024,1810,1725,1844,1607,1465,945,639,763,1499,1924,2391,2424,2221,2191,2429,2936,3863,4127,3825,3705,4001,3592,3386,2389,1686,2553,721,964,1188,1227,1038,1048,1186,1475,1935,2103,1983,1986,2150,1977,1903,1361,1069,1775,778,960,1203,1197,1183,1143,1243,1461,1928,2024,1842,1719,1851,1615,1483,1028,617,778,2,1,1,0,1,2,9,5,3,5,3,1,6,9,7,5,2,1,0,1,1,0,1,1,3,1,1,0,0,0,4,5,3,3,2,1,2,0,0,0,0,1,6,4,2,5,3,1,2,4,4,2,0,0,2,1,1,null,1,2,5,7,4,4,2,2,5,8,6,6,4,null,null,1,1,null,1,1,2,2,1,null,null,null,3,5,2,3,3,null,2,null,null,null,null,1,3,5,3,4,2,2,2,3,4,3,1,null,2,null,2,null,null,2,5,8,3,6,2,2,4,9,6,6,5,null,null,null,2,null,null,2,1,2,2,null,null,null,2,7,2,3,3,null,2,null,null,null,null,null,4,6,1,6,2,2,2,2,4,3,2,null,2,null,1,1,null,1,4,8,3,7,2,2,1,9,8,5,5,1,null,null,1,1,null,1,2,2,null,1,null,null,null,6,4,3,3,1,2,null,null,null,null,null,2,6,3,6,2,2,1,3,4,2,2,null,null,2,1,1,null,1,3,7,4,5,4,2,1,7,8,6,5,2,null,null,1,1,null,1,2,1,null,1,null,null,null,5,4,3,3,2,null,2,null,null,null,null,1,6,4,4,4,2,1,2,4,3,2,null,0,1,1,1,0,1,3,7,3,4,5,3,1,6,8,5,4,2,0,0,1,1,0,1,1,2,0,1,0,0,0,5,4,2,3,2,0,1,0,0,0,0,2,5,3,3,5,3,1,1,4,3,1,0,1,1,2,1,0,1,3,5,7,5,5,3,2,4,10,5,5,2,1,0,2,1,0,1,1,2,2,1,0,1,0,2,7,2,3,2,0,1,0,0,0,0,2,3,5,4,5,2,2,2,3,3,2,0,1,1,0,3,0,0,2,6,8,5,6,4,1,4,9,6,4,3,1,0,0,3,0,0,2,1,3,2,0,1,0,2,7,2,3,2,0,1,0,0,0,0,0,5,5,3,6,3,1,2,2,4,1,1,2,0,0,3,1,1,2,4,9,5,10,4,1,2,9,8,4,4,1,0,0,2,1,0,1,2,3,0,3,1,0,0,6,4,3,3,1,0,0,1,0,1,1,2,6,5,7,3,1,2,3,4,1,1,2,0,0,3,2,1,3,4,9,6,10,7,2,4,7,7,4,5,1,0,0,2,0,0,1,2,3,0,4,1,0,1,5,3,3,4,1,0,0,1,2,1,2,2,6,6,6,6,2,3,2,4,1,1,4,0,0,3,3,1,4,3,9,6,9,10,4,5,7,8,5,4,3,0,0,2,0,0,1,2,3,1,5,1,0,1,4,4,3,4,1,0,0,1,3,1,3,1,6,5,4,9,4,4,3,4,2,0,2,1,0,4,2,2,1,5,6,8,9,9,6,5,5,9,5,3,1,1,0,2,0,0,0,3,2,2,4,1,2,1,2,6,2,3,1,0,0,2,2,2,1,2,4,6,5,8,4,4,3,3,3,0,2,1,0,1,3,3,0,6,6,9,7,12,6,4,3,8,7,2,1,1,0,0,2,0,0,4,1,3,3,2,1,1,2,5,3,2,1,0,0,1,1,3,0,2,5,6,4,10,5,3,1,3,4,0,1,2,0,0,4,3,0,2,3,10,7,15,7,4,2,8,7,3,1,1,0,0,2,0,0,1,2,3,1,4,2,1,1,4,3,3,0,1,0,0,2,3,0,1,1,7,6,11,5,3,1,4,4,0,1,2,0,0,2,4,0,1,4,7,6,12,12,4,2,7,7,3,1,1,0,0,1,0,0,0,2,3,0,5,2,1,1,4,3,3,0,1,0,0,1,4,0,1,2,4,6,7,10,3,1,3,4,0,0,2,0,0,1,3,1,1,4,6,7,13,11,7,4,4,7,3,0,2,0,0,0,0,0,0,1,2,2,5,2,1,1,2,3,2,0,0,0,0,1,3,1,1,3,4,5,8,9,6,3,2,4,1,1,0,1,0,2,2,2,0,5,4,8,12,11,7,4,2,4,5,0,0,1,0,1,0,0,0,1,1,2,4,2,2,1,1,3,3,1,0,0,0,1,2,2,0,4,3,6,8,9,5,3,1,1,2,1,0,1,0,1,2,4,1,5,2,9,10,13,6,4,2,3,5,0,0,1,0,0,1,0,0,1,0,3,3,3,1,1,2,2,3,1,0,0,0,1,1,4,1,4,2,6,7,10,5,3,0,1,2,1,0,1,0,1,3,4,1,2,3,9,7,17,5,3,3,4,7,0,0,1,0,1,1,0,0,1,0,3,1,4,1,1,1,3,5,1,0,0,0,0,2,4,1,1,3,6,6,13,4,2,2,1,2,1,0,1,0,2,2,3,3,1,5,8,6,15,10,3,2,3,6,0,0,1,0,0,1,0,1,0,1,3,0,6,1,1,1,2,5,1,0,0,0,2,1,3,2,1,4,5,6,9,9,2,1,1,1,1,0,1,0,2,2,3,3,1,4,10,5,13,10,4,2,1,8,0,0,1,0,0,1,0,1,0,1,3,0,5,2,1,1,1,6,1,0,0,0,2,1,3,2,1,3,7,5,8,8,3,1,0,2,0,1,0,1,1,3,2,2,2,3,7,7,12,10,5,2,1,5,0,0,0,1,0,1,0,0,1,1,1,1,4,2,2,1,1,4,0,1,0,0,1,2,2,2,1,2,6,6,8,8,3,1,0,1,0,1,0,0,1,3,2,2,2,3,4,9,10,12,4,3,2,4,0,0,0,0,0,0,1,0,1,1,0,2,3,3,1,1,2,3,0,1,0,0,1,3,1,2,1,2,4,7,7,9,3,2,0,1,0,1,0,0,0,3,3,2,2,2,4,8,7,17,3,3,1,3,0,0,0,0,0,0,1,0,1,1,0,2,1,5,1,1,1,3,0,1,0,0,0,3,2,2,1,1,4,6,6,12,2,2,0,0,0,1,0,1,0,2,3,3,2,1,4,9,6,14,6,3,1,3,0,0,0,1,0,0,1,0,1,0,1,3,0,6,1,1,1,3,0,1,0,0,0,2,2,3,1,1,3,6,6,8,5,2,0,0,0,1,0,1,0,2,3,3,2,1,3,9,3,11,8,2,2,3,0,0,0,1,0,0,1,0,1,0,1,3,0,4,2,1,1,3,0,1,0,0,0,2,2,3,1,1,2,6,3,7,6,1,1,0,5,9,8,10,21,23,18,19,11,11,15,16,28,28,23,11,12,8,1,5,4,2,11,7,4,6,2,4,7,5,11,13,12,6,7,6,4,4,4,8,10,16,14,13,9,7,8,11,17,15,11,5,5,2,6,7,9,6,20,21,20,19,13,10,13,15,22,32,23,10,11,7,2,4,4,1,11,7,4,7,2,3,6,5,9,13,13,5,5,6,4,3,5,5,9,14,16,12,11,7,7,10,13,19,10,5,6,1,6,6,9,7,14,21,23,19,13,12,11,14,21,31,21,14,10,8,1,3,4,2,8,8,4,8,1,3,5,7,6,14,11,9,5,6,5,3,5,5,6,13,19,11,12,9,6,7,15,17,10,5,5,2,5,7,7,10,13,21,19,22,15,11,15,17,19,30,20,16,13,9,1,4,3,4,6,8,4,7,2,3,4,8,5,12,12,8,7,6,4,3,4,6,7,13,15,15,13,8,11,9,14,18,8,8,6,3,3,5,9,7,11,21,15,18,22,10,13,17,15,28,26,17,8,13,1,2,5,4,3,10,2,3,6,1,4,9,4,13,12,8,5,8,2,3,4,3,8,11,13,15,16,9,9,8,11,15,14,9,3,5,2,5,8,7,6,23,15,14,20,14,12,18,10,26,26,21,7,11,1,1,5,3,0,12,3,2,5,2,4,7,4,9,12,11,5,8,1,4,3,4,6,11,12,12,15,12,8,11,6,17,14,10,2,3,3,3,3,4,5,16,15,18,17,16,9,17,12,21,29,19,8,10,1,1,2,0,0,10,3,2,4,2,3,6,5,8,13,11,5,7,2,2,1,4,5,6,12,16,13,14,6,11,7,13,16,8,3,3,4,4,2,4,4,11,13,19,13,14,12,13,13,20,31,15,12,8,2,1,1,1,0,8,4,1,5,1,3,6,8,5,14,10,8,6,2,3,1,3,4,3,9,18,8,13,9,7,5,15,17,5,4,2,4,4,5,5,6,7,14,15,17,15,11,16,14,18,28,14,13,9,2,2,2,1,0,5,6,1,6,3,3,6,8,4,12,10,6,7,2,2,3,4,6,2,8,14,11,12,8,10,6,14,16,4,7,2,4,2,5,2,4,8,11,12,18,17,10,13,16,16,24,19,12,8,2,1,1,0,0,3,5,1,4,5,1,5,9,4,12,11,5,6,2,1,4,2,4,5,6,11,14,12,9,8,7,12,12,8,7,2,3,2,4,4,4,7,18,15,16,20,16,11,18,11,25,20,16,5,2,0,1,1,0,1,9,4,2,8,3,5,8,5,9,11,7,5,1,2,3,3,4,6,9,11,14,12,13,6,10,6,16,9,9,0,4,2,3,5,6,5,14,14,16,19,18,8,16,13,18,23,12,6,2,0,1,1,0,0,8,4,0,9,3,3,6,6,7,11,6,5,2,2,2,4,6,5,6,10,16,10,15,5,10,7,11,12,6,1,3,3,4,6,6,6,9,15,17,15,16,14,13,14,16,20,11,8,2,1,1,0,1,1,5,5,1,6,2,4,6,6,5,9,7,5,1,2,3,6,5,5,4,10,16,9,14,10,7,8,11,11,4,3,2,2,1,5,7,8,6,12,14,19,17,11,16,11,16,18,12,8,1,1,0,1,1,1,3,3,2,6,2,4,5,6,4,7,9,3,1,1,1,4,6,7,3,9,12,13,15,7,11,5,12,11,3,5,2,0,1,6,8,6,7,9,18,18,18,12,11,12,13,15,11,7,1,0,0,1,1,1,2,3,3,3,5,2,4,7,4,7,5,4,1,0,1,5,7,5,5,6,15,15,13,10,7,5,9,8,6,3,2,0,1,4,7,6,4,10,16,12,18,16,9,11,9,17,10,11,1,0,0,1,2,1,0,3,2,1,6,3,3,5,4,7,5,6,1,0,1,3,5,5,4,7,14,11,12,13,6,6,5,10,5,5,2,0,0,2,6,7,3,5,15,14,17,17,7,10,11,12,13,10,1,0,0,1,2,2,0,0,2,0,7,2,2,5,5,6,6,5,1,0,0,1,4,5,3,5,13,14,10,15,5,5,6,6,7,5,1,1,0,2,5,7,5,6,13,15,16,17,10,8,9,11,13,9,0,1,0,1,1,1,1,1,2,1,6,2,3,4,5,4,7,4,1,0,0,1,4,6,4,5,11,14,10,15,7,4,4,7,6,5,0,2,0,3,7,6,7,5,8,19,21,18,9,11,8,11,10,9,0,1,0,1,2,1,1,0,2,2,6,2,4,3,6,3,6,4,0,1,0,2,5,5,6,5,6,17,15,16,5,8,2,8,4,5,0,2,0,1,8,7,5,6,9,17,19,19,10,10,10,7,9,8,0,1,0,0,2,2,1,0,3,1,3,6,2,3,7,3,4,3,0,1,0,1,6,5,4,6,6,16,16,13,8,7,3,4,5,5,0,2,0,2,5,8,5,5,10,17,18,19,12,11,10,5,7,9,0,1,0,1,1,3,2,0,2,2,2,6,1,5,5,3,3,4,0,1,0,1,4,5,3,5,8,15,16,13,11,6,5,2,4,5,2,2,0,2,3,7,8,4,10,15,18,18,12,9,9,6,5,10,1,1,0,0,2,3,3,0,3,2,1,6,1,4,4,3,2,6,1,1,0,2,1,4,5,4,7,13,17,12,11,5,5,3,3,4,3,2,1,0,5,7,7,5,10,12,19,21,13,10,7,6,4,9,3,0,1,0,2,3,2,1,2,2,1,8,1,3,3,3,1,6,0,2,0,0,3,4,5,4,8,10,18,13,12,7,4,3,3,3,3,1,2,0,4,5,6,8,7,11,16,23,14,6,11,5,5,8,3,0,1,0,1,3,1,2,1,3,1,7,1,2,2,4,1,5,0,1,1,0,3,2,5,6,6,8,15,16,13,4,9,1,4,3,4,1,3,3,4,7,10,6,8,11,16,21,18,5,11,8,5,7,4,0,1,1,2,3,3,2,1,4,1,4,5,0,3,5,1,4,0,1,2,2,2,4,7,4,7,7,15,17,13,5,8,3,4,3,4,2,3,2,4,5,13,6,8,11,17,16,18,9,10,10,4,8,4,1,1,1,2,2,5,3,1,4,2,2,5,2,3,5,2,3,0,1,2,1,2,3,8,3,7,7,15,14,13,7,7,5,2,5,28,50,52,75,52,63,76,62,66,25,28,43,65,63,33,29,16,21,11,17,24,39,29,32,41,29,28,8,14,24,33,26,21,22,8,18,17,33,28,36,23,31,35,33,38,17,14,19,32,37,12,7,8,3,20,51,48,74,53,69,65,79,57,39,28,38,47,71,35,27,17,21,11,17,19,36,31,40,29,42,23,15,15,17,24,38,17,19,10,16,9,34,29,38,22,29,36,37,34,24,13,21,23,33,18,8,7,5,27,44,43,73,57,57,71,73,60,45,25,41,45,66,44,25,20,21,14,14,15,37,32,30,35,41,25,18,13,17,24,36,19,17,12,17,13,30,28,36,25,27,36,32,35,27,12,24,21,30,25,8,8,4,25,41,49,65,65,53,64,71,70,50,24,41,42,67,48,27,19,22,11,13,18,32,35,25,32,40,30,22,10,17,23,36,23,18,11,17,14,28,31,33,30,28,32,31,40,28,14,24,19,31,25,9,8,5,31,32,49,54,70,52,59,76,64,57,30,31,43,64,56,22,20,24,12,12,16,24,37,27,30,40,29,24,13,13,23,33,27,16,11,17,19,20,33,30,33,25,29,36,35,33,17,18,20,31,29,6,9,7,30,27,53,40,79,54,56,71,72,66,31,31,42,56,54,25,23,13,11,12,16,15,41,30,29,40,31,27,10,15,23,29,27,12,17,10,19,15,37,25,38,24,27,31,41,39,21,16,19,27,27,13,6,3,27,25,49,46,75,46,65,69,84,57,38,29,37,50,71,27,18,12,9,14,15,17,39,29,35,33,44,23,14,16,18,25,38,14,13,7,18,11,34,29,36,17,30,36,40,34,24,13,19,25,33,13,5,5,24,29,46,42,78,51,61,74,76,62,44,28,40,44,63,36,18,12,9,17,13,14,39,31,28,38,43,24,17,14,17,24,36,15,13,8,15,12,33,28,39,20,33,36,33,38,27,14,23,20,27,21,5,4,28,27,41,48,66,64,58,64,78,70,48,25,39,44,64,36,19,10,11,14,13,16,33,36,24,32,43,30,22,11,16,25,35,18,12,8,17,13,28,32,33,28,34,32,35,40,26,14,23,19,29,18,7,2,33,30,30,48,54,81,53,66,82,69,56,31,30,41,62,47,18,12,14,14,12,13,25,44,26,34,42,30,24,13,14,23,34,25,12,7,19,16,18,35,29,37,27,32,40,39,32,18,16,18,28,22,6,5,32,30,25,55,44,81,58,61,78,77,61,29,30,40,51,54,24,10,14,14,12,15,17,45,30,32,42,34,25,9,17,22,30,28,12,7,18,16,13,40,27,36,28,29,36,43,36,20,13,18,21,26,12,3,32,24,25,54,55,79,54,67,74,85,59,37,30,36,43,62,26,11,13,9,15,16,23,42,28,35,34,45,22,14,18,17,24,36,15,6,19,15,10,38,32,37,26,32,40,40,37,23,12,19,19,26,11,5,39,21,27,44,47,88,56,57,75,80,68,44,27,43,38,57,31,13,17,9,16,12,17,47,31,25,37,45,25,18,15,19,23,34,16,8,22,12,11,32,30,41,25,32,38,35,43,26,12,24,15,23,15,5,42,28,28,40,52,77,67,54,72,80,79,48,25,41,37,55,31,13,17,12,14,12,20,45,34,26,34,42,35,21,11,18,23,31,16,9,25,16,14,28,32,32,33,28,38,38,44,27,14,23,14,24,15,4,40,33,33,31,44,68,78,55,66,88,75,59,30,33,33,53,38,14,17,14,17,10,13,38,41,29,35,43,36,23,12,16,19,31,22,8,23,19,16,21,31,30,37,26,31,45,39,36,18,17,14,22,16,6,42,30,34,26,52,57,80,56,57,81,81,60,30,31,36,38,40,21,19,13,18,12,17,30,44,27,31,44,39,23,9,17,18,26,22,12,23,17,16,14,35,27,36,29,26,37,42,37,21,14,18,12,18,9,48,33,26,28,46,60,86,53,67,72,93,60,35,31,33,32,50,20,24,13,11,17,14,31,49,25,35,36,50,22,12,17,15,21,31,13,24,20,15,11,32,29,37,28,32,36,43,38,23,14,18,11,19,7,45,41,23,31,43,49,87,63,65,75,84,69,42,27,39,34,42,26,20,21,11,16,13,20,51,31,34,39,45,28,16,13,18,23,26,17,25,20,12,15,30,29,36,32,31,36,39,41,26,14,21,11,16,9,44,41,30,28,44,55,81,72,59,68,84,79,47,26,40,32,42,23,23,19,13,12,16,21,46,39,30,34,46,35,19,10,19,22,26,15,21,22,17,16,28,34,35,33,29,34,38,44,28,16,21,10,16,8,47,41,35,32,34,57,73,75,64,66,90,73,57,30,32,29,43,25,25,19,16,15,12,20,40,38,34,35,46,35,22,12,15,18,26,16,22,22,19,17,22,37,33,37,30,31,44,38,35,18,17,11,17,9,41,48,34,36,28,65,64,79,65,64,82,82,60,28,30,32,29,36,24,21,15,19,15,21,33,43,32,34,46,39,23,9,16,17,19,21,17,27,19,17,13,44,31,36,33,30,36,43,37,19,14,15,10,15,42,56,34,30,27,62,64,92,61,72,75,87,63,32,31,31,25,41,24,27,14,13,16,22,30,43,31,36,37,48,24,13,17,15,16,26,18,29,20,17,11,40,34,49,30,36,38,39,39,19,14,16,9,15,48,53,41,26,31,54,64,96,67,65,79,79,65,40,25,36,26,39,30,23,16,12,16,20,28,48,35,31,40,45,27,17,14,17,17,26,18,30,25,14,15,34,36,48,32,34,39,34,38,23,11,19,9,13,38,46,42,32,27,50,63,91,68,67,71,84,75,47,24,38,25,40,23,22,16,14,12,22,24,48,36,33,33,47,35,21,11,18,16,26,15,24,26,18,15,28,39,43,32,34,38,37,40,26,13,20,9,14,38,46,43,34,31,40,65,86,76,63,76,86,70,56,27,31,25,37,24,21,17,14,13,21,27,43,39,33,37,46,35,24,13,16,16,23,14,25,26,20,18,19,38,43,37,30,39,40,35,32,14,15,9,14,41,42,48,31,36,34,73,76,84,72,72,82,77,59,31,30,27,36,24,22,18,12,15,18,27,38,44,37,36,47,40,25,12,17,16,24,17,20,30,19,21,16,46,38,40,35,36,35,37,34,19,13,11,12,84,122,169,177,195,175,194,206,162,140,136,134,173,174,154,109,81,64,39,55,85,89,84,85,82,103,57,64,71,61,76,86,84,61,56,49,45,67,84,88,111,90,112,103,105,76,65,73,97,88,70,48,25,15,70,97,159,163,195,178,186,199,177,152,136,114,180,173,153,120,77,66,34,44,71,82,94,82,89,96,64,62,73,55,81,82,78,69,51,54,36,53,88,81,101,96,97,103,113,90,63,59,99,91,75,51,26,12,58,100,142,169,191,167,185,208,166,157,140,118,167,178,159,119,81,65,27,51,64,85,94,78,88,93,68,61,71,62,78,81,75,68,54,51,30,49,78,84,97,89,97,115,98,96,69,56,89,97,84,51,27,14,56,88,134,158,187,158,188,208,178,165,137,124,140,188,161,123,78,70,25,44,60,81,95,69,96,85,84,57,67,73,55,89,81,67,52,53,31,44,74,77,92,89,92,123,94,108,70,51,85,99,80,56,26,17,54,85,125,152,179,167,169,190,196,162,157,133,137,162,171,123,88,75,23,41,54,80,86,74,85,79,94,51,80,71,59,77,86,67,55,60,31,44,71,72,93,93,84,111,102,111,77,62,78,85,85,56,33,15,53,73,110,156,157,176,176,180,209,162,160,139,118,176,163,127,94,74,28,33,51,82,71,78,85,81,95,52,79,74,52,81,83,67,61,58,25,40,59,74,86,98,91,99,114,110,81,65,66,95,80,60,33,16,62,67,92,155,154,159,173,181,198,171,155,142,118,171,157,132,90,74,28,33,41,72,73,71,83,81,90,63,68,75,59,81,75,74,54,54,34,34,51,83,81,88,90,100,108,108,87,67,59,90,82,58,36,20,64,55,91,131,155,168,146,182,211,163,151,145,122,163,159,130,94,80,27,23,46,60,76,74,71,84,86,68,58,73,68,78,76,72,55,58,37,32,45,71,79,94,75,98,125,95,93,72,54,85,83,58,39,22,71,57,82,124,149,184,149,186,199,182,162,145,121,146,166,132,95,80,29,24,39,53,76,89,63,95,75,80,56,75,74,60,78,81,52,58,42,33,43,71,73,95,86,91,124,102,106,70,47,86,88,51,43,22,77,61,78,120,145,179,160,173,186,198,153,155,131,142,146,138,89,83,34,26,38,50,77,85,68,84,73,92,52,78,73,66,68,75,51,62,43,35,40,70,68,94,92,89,113,106,101,77,58,76,78,63,38,21,81,61,68,105,148,149,170,173,174,205,153,154,134,115,165,140,88,81,39,30,30,46,78,67,75,81,75,91,53,76,72,56,79,72,50,60,42,31,38,59,70,82,95,92,99,114,100,78,62,59,86,68,38,21,80,73,63,89,139,145,161,173,176,199,171,147,143,115,153,142,103,79,36,31,33,38,61,70,71,84,78,86,62,65,76,60,80,68,59,59,44,42,30,51,78,75,90,89,98,113,109,82,67,55,73,74,44,20,84,80,58,85,125,133,166,156,177,210,167,137,144,114,148,140,106,76,37,33,26,42,54,65,75,75,80,87,69,54,74,62,78,69,62,54,47,47,32,43,71,68,91,81,97,123,98,83,70,52,70,71,44,22,81,79,61,78,123,136,173,149,173,194,189,154,138,121,128,144,107,86,40,31,30,37,52,72,78,67,88,75,87,56,70,73,59,73,63,59,41,48,31,41,71,64,95,82,85,119,102,98,68,48,69,71,44,27,81,76,61,79,117,137,174,150,174,190,207,149,146,130,123,130,104,98,42,32,28,39,50,70,81,66,83,79,93,54,73,70,63,67,56,67,39,44,33,40,67,67,93,84,91,111,114,95,73,60,60,63,48,31,82,81,66,72,107,143,152,163,170,175,217,157,150,132,105,138,110,97,41,37,31,35,45,70,74,71,79,82,93,56,76,68,55,73,58,65,41,44,35,37,62,73,78,92,91,93,124,101,74,64,50,65,52,32,86,81,74,64,92,147,171,157,172,172,200,174,143,138,104,134,108,96,45,38,33,32,41,67,86,69,81,80,85,70,63,75,56,74,55,63,41,43,41,32,51,80,85,88,91,92,115,104,80,63,48,60,53,33,82,87,80,61,89,130,155,172,160,180,210,176,131,146,106,130,108,96,41,43,35,28,44,62,73,77,76,84,89,73,54,76,59,73,54,58,41,44,45,33,45,68,82,95,84,96,121,103,77,70,47,57,54,38,90,86,79,63,78,120,158,182,158,185,200,193,147,132,114,116,116,92,44,45,38,28,39,51,76,84,68,95,79,87,58,69,66,58,59,60,46,41,41,35,39,69,82,98,90,90,121,106,89,63,48,58,57,32,89,83,79,63,77,114,144,185,159,172,191,198,140,142,124,109,109,94,41,44,41,28,42,50,68,90,68,81,82,89,56,74,67,57,60,59,48,39,38,35,35,64,76,95,91,91,109,109,84,68,57,52,49,35,73,79,88,66,69,92,145,159,171,180,175,207,145,145,120,95,114,95,35,43,46,32,33,45,70,77,71,82,83,89,59,76,62,48,66,57,38,36,42,34,36,47,75,82,100,98,92,118,86,69,58,47,48,38,69,80,86,72,67,78,136,163,161,176,176,194,166,134,131,91,110,101,36,39,41,37,33,37,60,84,68,80,85,81,69,64,69,51,65,55,33,41,45,35,34,41,76,79,93,96,91,113,97,70,62,40,45,46,59,80,88,74,57,80,113,149,177,155,181,203,167,121,140,96,112,130,34,37,42,35,24,38,53,74,79,73,85,85,74,53,74,52,68,73,25,43,46,39,33,42,60,75,98,82,96,118,93,68,66,44,44,57,54,84,83,73,60,82,107,140,182,152,175,186,182,136,122,106,102,124,31,38,40,31,25,37,49,64,84,65,86,73,84,56,70,61,53,79,23,46,43,42,35,45,58,76,98,87,89,113,98,80,52,45,49,45,50,82,86,81,62,79,100,130,173,167,172,188,189,137,131,107,96,127,31,35,46,36,24,37,42,53,84,72,82,78,84,59,73,57,55,81,19,47,40,45,38,42,58,77,89,95,90,110,105,78,58,50,41,46,61,70,84,92,70,79,88,132,159,179,170,179,200,142,135,104,81,137,41,33,44,42,31,31,39,57,73,75,82,85,85,62,71,55,47,93,20,37,40,50,39,48,49,75,86,104,88,94,115,80,64,49,34,44,44,70,58,64,87,99,137,116,116,80,48,63,121,151,166,94,66,48,20,33,34,28,43,44,66,42,37,27,19,38,71,79,83,56,43,28,24,37,24,36,44,55,71,74,79,53,29,25,50,72,83,38,23,20,38,59,70,64,79,75,128,110,117,95,54,54,92,143,162,108,58,54,23,28,33,33,37,31,62,45,45,27,21,34,54,75,84,57,40,31,15,31,37,31,42,44,66,65,72,68,33,20,38,68,78,51,18,23,34,53,67,65,79,71,107,108,117,98,63,47,80,137,157,118,55,58,23,22,36,32,38,28,48,47,47,30,22,29,42,76,82,60,38,39,11,31,31,33,41,43,59,61,69,68,41,18,38,60,74,57,17,19,33,44,72,61,77,73,85,108,112,113,68,52,69,136,152,131,55,62,20,19,38,34,33,31,38,43,50,37,21,30,38,78,82,65,35,43,13,25,34,27,44,42,47,65,62,76,47,22,31,58,70,66,20,19,28,40,68,65,80,69,73,106,106,115,80,50,56,127,140,137,65,65,16,18,32,37,31,33,31,50,41,41,30,22,34,72,81,66,37,45,12,22,36,28,49,36,42,56,65,74,50,28,22,55,59,71,28,20,30,42,59,63,70,69,65,106,104,104,87,56,55,117,124,143,77,62,14,23,29,35,30,32,23,57,41,37,26,25,34,69,68,72,47,41,16,19,30,28,40,37,42,49,63,67,61,31,21,48,56,71,30,21,31,34,54,64,65,67,55,105,97,107,87,52,56,90,130,140,78,60,14,21,25,33,34,31,21,52,42,42,27,21,35,54,70,74,44,40,17,13,29,31,31,36,34,53,55,65,60,31,21,36,60,66,34,20,27,31,51,59,64,71,56,93,98,105,94,60,50,79,124,133,85,67,11,19,20,34,32,33,19,43,44,45,32,22,30,41,72,73,47,43,16,12,31,25,32,38,37,50,54,60,62,38,20,38,52,60,38,24,23,27,43,66,54,63,57,71,96,102,105,60,51,70,118,122,97,68,9,14,18,35,32,26,24,33,39,47,39,18,29,39,70,68,50,43,14,13,25,31,22,37,33,38,57,55,66,42,22,31,48,54,47,25,24,26,40,70,60,58,55,65,96,101,107,77,50,62,113,116,107,74,12,15,15,34,36,24,26,30,44,42,42,27,24,37,64,71,55,45,12,11,25,36,24,34,29,35,52,59,65,50,26,25,49,45,52,29,20,26,42,62,55,56,62,58,95,101,99,81,52,59,100,106,112,79,7,14,19,31,30,26,28,19,47,42,41,23,25,36,58,62,59,52,13,12,23,31,25,30,34,39,48,59,58,58,27,23,42,44,53,27,21,27,36,52,62,56,69,46,95,94,105,88,47,57,79,116,115,75,9,12,17,25,31,27,30,17,48,39,47,26,18,36,47,65,64,52,12,15,19,27,31,29,39,29,47,55,58,62,29,21,32,51,51,23,23,22,35,48,65,61,63,49,81,96,104,91,56,49,72,112,108,81,13,9,18,20,37,29,28,19,39,39,46,32,20,30,38,67,64,55,10,13,17,28,28,32,35,30,42,57,58,59,36,19,34,45,44,26,19,25,28,42,64,57,57,53,63,95,107,99,59,47,67,107,102,85,11,11,14,15,32,33,22,21,28,37,49,37,17,26,38,62,58,57,8,14,14,27,32,24,35,32,35,58,58,62,42,21,29,45,44,28,17,27,25,38,61,56,56,53,62,90,101,99,71,44,55,103,95,92,10,16,14,13,30,31,18,26,26,37,45,38,23,20,33,58,60,54,7,11,11,25,31,25,38,27,36,53,56,61,48,24,22,45,35,38,26,19,26,37,59,57,49,54,56,89,101,102,76,49,54,90,87,102,15,11,13,15,29,30,19,27,20,44,43,40,21,24,33,53,50,60,11,8,13,22,30,27,30,27,36,45,58,62,55,25,21,37,37,42,20,22,26,34,53,59,49,58,44,87,95,109,78,48,54,71,89,102,10,12,11,16,24,30,21,27,17,43,37,47,24,20,33,41,51,65,10,10,15,18,29,29,28,31,27,44,58,62,54,28,21,30,38,37,17,20,20,27,47,52,56,57,44,77,90,100,88,52,47,63,84,114,7,11,9,13,18,27,24,28,15,36,37,43,32,20,28,32,51,75,10,9,11,14,29,25,32,29,29,41,53,57,56,32,19,31,33,39,18,14,20,25,40,55,48,57,48,60,87,103,93,58,43,56,90,105,9,9,10,12,16,27,24,24,20,25,35,45,36,19,25,31,55,68,9,5,10,13,24,28,24,33,28,35,52,58,57,39,18,25,35,37,18,14,21,22,39,56,46,58,43,59,87,97,92,65,44,51,82,93,8,8,11,11,17,24,22,21,21,25,34,42,39,23,21,31,46,59,10,6,10,11,22,32,24,37,22,34,53,55,53,42,23,20,36,34,16,19,17,26,36,57,46,50,48,59,87,99,91,70,48,48,74,103,7,11,9,12,17,25,20,20,22,21,37,41,40,22,24,30,42,64,9,8,8,14,19,32,26,30,26,38,50,58,51,48,24,18,32,39,18,14,19,26,30,47,43,49,59,47,85,86,93,73,45,48,64,121,10,8,8,11,15,19,19,20,29,17,40,29,42,26,17,32,37,76,8,6,11,15,15,28,24,29,30,30,45,57,51,47,28,16,27,45,15,16,20,19,28,42,37,46,54,46,75,84,86,86,53,42,60,138,10,7,8,8,14,16,15,19,27,17,34,31,37,36,18,25,33,90,5,9,12,11,14,26,22,27,27,29,41,53,49,50,35,17,27,48,15,18,17,23,28,41,38,44,51,50,65,80,93,88,58,41,53,136,7,10,8,10,12,17,17,21,22,22,25,26,41,38,19,24,31,89,8,8,9,13,16,24,21,23,29,28,40,54,52,50,39,17,22,47,16,14,17,25,21,42,38,44,52,45,60,87,94,93,69,43,46,116,7,8,9,12,10,18,14,22,19,22,23,29,39,43,25,21,32,79,9,6,8,13,11,24,24,22,33,23,37,58,55,50,44,22,14,37,15,13,20,21,24,41,46,36,56,45,58,87,97,89,70,48,42,97,6,8,10,11,10,19,18,17,25,20,19,33,40,41,24,21,31,65,9,5,10,10,14,22,28,19,31,25,39,54,57,48,46,27,11,32,2,3,4,8,10,19,25,16,16,13,18,14,37,41,28,24,24,18,1,2,1,3,5,9,9,5,6,2,6,9,19,11,17,15,14,14,1,1,3,5,5,9,16,11,9,11,11,5,18,30,11,9,10,4,2,2,4,4,12,11,28,14,18,14,12,17,27,37,34,24,21,25,1,2,1,1,7,4,14,4,6,6,4,9,15,15,14,17,11,20,1,null,3,3,5,7,14,10,12,8,8,8,12,22,20,7,10,5,2,2,4,5,12,8,27,17,21,15,10,18,28,28,39,20,18,24,1,2,2,1,8,4,11,5,5,5,3,9,14,13,14,15,7,21,1,null,2,4,4,4,16,11,16,9,7,8,14,15,25,4,10,3,4,2,3,6,15,7,25,18,23,20,11,19,23,31,43,21,16,25,1,2,1,2,12,3,12,5,5,7,3,9,12,17,16,14,8,19,3,null,2,4,3,4,13,13,18,13,8,10,11,14,27,7,8,6,4,2,8,7,13,7,24,23,26,22,11,22,19,35,41,23,13,23,2,1,5,2,9,3,11,8,6,8,2,9,9,19,11,16,7,19,2,1,3,5,4,4,13,15,20,14,9,13,10,16,30,7,6,4,6,2,7,7,14,8,24,27,25,25,15,14,20,39,41,26,17,17,3,1,3,2,7,4,10,9,5,10,3,5,11,19,11,15,11,14,3,1,4,5,7,4,14,18,20,15,12,9,9,20,30,11,6,3,7,1,6,7,10,12,15,30,16,31,21,16,21,33,36,31,19,22,2,0,4,2,6,6,5,13,2,12,7,4,13,14,14,12,14,17,5,1,2,5,4,6,10,17,14,19,14,12,8,19,22,19,5,5,9,3,5,6,8,19,11,24,19,33,23,15,18,29,37,37,17,22,2,1,4,2,4,9,5,10,6,11,9,4,11,14,16,13,13,15,7,2,1,4,4,10,6,14,13,22,14,11,7,15,21,24,4,7,6,5,4,5,7,19,8,22,18,30,24,14,17,24,33,37,19,23,2,1,4,1,2,11,3,11,4,10,9,4,8,13,17,14,12,15,4,4,0,4,5,8,5,11,14,20,15,10,9,11,16,23,7,8,6,3,1,6,6,13,6,21,18,26,25,15,18,18,33,34,20,22,2,1,1,3,1,7,3,10,6,8,9,3,7,10,18,11,13,16,4,2,0,3,5,6,3,11,12,18,16,12,11,8,15,23,7,6,7,5,1,6,5,13,15,20,18,27,31,20,16,21,39,36,21,23,4,2,1,3,1,5,10,10,5,6,12,4,6,15,19,12,11,17,3,3,0,3,4,8,5,10,13,21,19,16,10,6,20,24,10,6,9,6,0,4,7,10,18,14,22,16,35,20,18,21,37,32,23,23,6,2,0,4,2,3,10,5,10,5,11,5,6,14,17,14,9,17,3,4,0,0,5,7,8,9,12,11,24,15,12,7,20,18,14,6,4,10,3,4,8,9,16,13,27,17,36,21,14,21,27,31,26,23,3,2,2,3,4,2,7,7,11,6,12,6,3,13,15,15,9,18,1,8,1,1,4,7,9,6,16,11,24,15,11,8,12,16,17,5,5,4,5,4,8,8,18,9,25,25,33,31,14,19,23,26,28,21,4,2,2,4,3,2,8,3,11,6,12,11,3,11,15,13,10,14,1,2,3,0,5,6,10,6,14,19,21,20,11,8,8,13,18,7,3,6,5,3,13,11,23,12,29,32,40,41,24,26,32,30,28,22,3,3,2,1,8,4,7,5,13,13,14,17,6,12,20,16,9,15,0,3,3,2,5,7,16,7,16,19,26,24,18,14,12,14,19,7,2,6,7,2,15,8,19,17,23,32,38,36,27,14,30,33,25,23,2,3,3,1,7,2,7,7,11,13,13,15,8,6,21,17,10,13,0,3,4,1,8,6,12,10,12,19,25,21,19,8,9,16,15,10,3,5,6,3,10,10,12,18,17,30,28,42,26,20,24,31,19,23,2,3,2,2,5,4,4,6,5,13,11,13,10,8,15,16,9,11,1,2,4,1,5,6,8,12,12,17,17,29,16,12,9,15,10,12,4,2,8,3,8,10,8,22,13,30,27,47,26,20,19,31,19,24,2,2,2,2,5,5,1,7,6,11,12,16,11,8,11,16,10,12,2,0,6,1,3,5,7,15,7,19,15,31,15,12,8,15,9,12,3,2,8,7,7,9,13,21,12,29,32,40,36,18,21,27,20,26,1,2,3,2,5,2,5,8,5,13,12,14,14,7,10,16,10,13,2,0,5,5,2,7,8,13,7,16,20,26,22,11,11,11,10,13,6,1,10,6,5,12,14,21,9,31,32,35,37,18,24,25,20,25,4,1,5,2,2,5,5,7,4,14,13,12,16,5,11,15,9,13,2,0,5,4,3,7,9,14,5,17,19,23,21,13,13,10,11,12,8,1,7,8,9,11,12,16,15,23,36,41,32,23,14,25,23,19,5,1,3,4,5,5,4,6,5,9,13,14,14,7,6,16,11,9,3,0,4,4,4,6,8,10,10,14,23,27,18,16,8,9,12,10,7,2,6,9,5,10,14,16,17,19,32,37,39,24,18,21,21,19,5,2,3,4,1,6,6,4,6,6,13,14,16,10,7,13,11,8,2,0,3,5,4,4,8,12,11,13,19,23,23,14,11,8,10,11,10,4,3,13,7,12,13,16,26,15,34,38,44,26,16,17,23,20,6,3,3,3,4,6,5,4,10,7,13,17,17,12,7,10,13,9,4,1,0,10,3,6,8,12,16,8,21,21,27,14,9,7,10,11,10,3,3,9,11,12,12,15,26,14,32,40,40,29,15,18,17,19,5,3,3,4,4,7,5,4,10,5,15,16,16,13,7,9,10,10,5,0,0,5,7,5,7,11,16,9,17,24,24,16,8,9,7,9,9,4,1,10,11,11,14,15,20,10,34,39,38,31,17,18,14,20,4,4,1,5,4,6,7,4,7,3,14,16,14,15,6,8,10,12,5,0,0,5,7,5,7,11,13,7,20,23,24,16,11,10,4,8,8,9,1,6,13,11,17,14,16,15,27,42,42,28,24,11,17,21,4,6,1,3,5,6,8,6,4,4,11,14,16,14,9,5,10,12,4,3,0,3,8,5,9,8,12,11,16,28,26,14,15,6,7,9,26,28,27,40,65,66,73,64,71,52,41,57,103,98,104,89,83,78,7,16,8,15,33,29,28,20,27,20,19,27,54,50,45,51,54,52,19,12,19,25,32,37,45,43,44,31,22,30,49,48,59,38,29,26,16,30,26,41,60,71,76,76,74,56,46,46,87,103,105,81,77,88,5,16,10,15,24,36,38,23,27,21,18,24,48,50,45,47,47,56,11,14,16,26,36,35,38,53,47,35,28,22,39,53,60,34,30,32,21,24,37,41,72,79,79,82,67,61,67,45,83,105,109,87,70,109,7,11,17,16,23,39,39,28,25,20,27,26,39,52,53,49,44,71,13,12,20,25,48,40,40,55,42,40,40,20,44,53,56,38,26,37,23,29,37,40,62,92,83,87,69,67,75,53,72,109,105,82,76,100,6,13,15,16,26,45,39,33,25,26,33,23,36,56,53,38,50,67,17,16,22,24,36,47,44,54,44,41,42,30,36,53,52,44,26,33,23,28,37,35,55,83,70,88,70,71,66,62,62,101,86,98,70,89,7,11,17,12,24,38,29,33,26,29,25,29,30,55,41,49,43,61,16,17,20,23,31,45,41,55,44,42,41,33,32,46,45,49,27,28,17,18,35,35,53,74,55,85,71,69,70,51,53,104,90,93,70,83,6,6,19,12,24,31,30,32,26,22,32,20,25,59,40,48,39,57,11,12,16,23,29,43,25,53,45,47,38,31,28,45,50,45,31,26,18,17,32,34,53,72,71,86,72,75,67,68,59,96,97,97,63,83,9,6,16,14,23,27,35,34,21,29,27,31,30,53,48,44,36,55,9,11,16,20,30,45,36,52,51,46,40,37,29,43,49,53,27,28,26,20,27,44,50,65,83,103,86,72,68,85,51,91,94,95,71,82,14,8,12,19,24,22,40,44,31,27,26,40,26,43,49,49,38,53,12,12,15,25,26,43,43,59,55,45,42,45,25,48,45,46,33,29,28,14,29,34,48,62,72,84,89,75,73,75,57,79,93,89,64,83,17,5,13,16,21,24,36,32,33,28,29,33,28,39,51,45,31,54,11,9,16,18,27,38,36,52,56,47,44,42,29,40,42,44,33,29,32,21,25,33,43,58,70,79,90,82,68,73,64,69,92,79,74,75,19,10,9,17,20,27,31,30,27,33,29,32,29,33,51,40,36,48,13,11,16,16,23,31,39,49,63,49,39,41,35,36,41,39,38,27,34,27,27,37,39,56,75,77,95,82,74,77,59,64,92,81,73,68,17,15,8,22,13,22,31,36,33,29,27,37,25,27,52,38,38,43,17,12,19,15,26,34,44,41,62,53,47,40,34,37,40,43,35,25,31,24,27,36,43,54,75,78,95,84,77,73,64,62,87,79,76,66,15,12,10,18,17,20,29,38,34,24,33,31,29,29,47,42,36,40,16,12,17,18,26,34,46,40,61,60,44,42,35,33,40,37,40,26,23,36,20,32,47,50,70,78,94,84,71,69,80,47,89,78,72,59,12,16,8,11,20,17,30,37,35,25,24,30,37,21,45,41,37,34,11,20,12,21,27,33,40,41,59,59,47,39,43,26,44,37,35,25,31,35,25,32,47,48,71,77,92,83,77,73,72,52,77,76,65,65,14,13,10,12,19,16,30,33,39,22,27,33,30,24,39,42,33,36,17,22,15,20,28,32,41,44,53,61,50,40,42,28,38,34,32,29,24,35,31,30,48,51,68,78,88,93,84,71,74,65,60,82,59,66,12,17,12,12,18,16,31,28,43,29,31,34,32,29,31,47,30,36,12,18,19,18,30,35,37,50,45,64,53,37,42,36,29,35,29,30,26,40,28,27,52,46,59,87,80,92,85,76,71,62,47,81,59,68,10,19,10,8,24,15,25,30,36,32,27,32,33,27,22,48,27,37,16,21,18,19,28,31,34,57,44,60,58,44,38,35,25,33,32,31,19,38,24,24,42,44,44,71,75,89,95,76,68,60,47,69,56,67,6,21,10,8,19,17,18,27,37,33,28,32,30,26,23,38,32,38,13,17,14,16,23,27,26,44,38,56,67,44,38,34,24,31,24,29,23,31,37,24,42,48,43,55,76,90,91,78,65,73,45,62,53,74,8,17,15,9,15,21,16,25,37,32,29,32,27,34,20,33,30,45,15,14,22,15,27,27,27,30,39,58,62,46,38,39,25,29,23,29,18,32,31,23,37,49,47,63,78,74,92,83,73,71,50,53,57,70,8,16,13,13,13,22,17,27,35,33,26,34,30,31,24,30,34,39,10,16,18,10,24,27,30,36,43,41,66,49,43,40,26,23,23,31,19,28,34,27,33,49,46,67,74,74,89,88,75,67,63,44,58,66,8,12,15,11,12,21,16,29,30,35,22,35,34,28,28,24,35,40,11,16,19,16,21,28,30,38,44,39,67,53,41,39,35,20,23,26,17,29,38,25,30,49,47,62,75,72,83,92,80,69,58,35,61,65,8,11,17,10,10,24,16,28,31,34,29,32,33,29,25,18,35,41,9,18,21,15,20,25,31,34,44,38,54,60,47,40,33,17,26,24,12,32,35,27,29,49,44,52,69,76,80,103,80,73,55,38,51,69,7,9,18,10,10,22,16,21,28,37,34,32,33,29,24,18,32,45,5,23,17,17,19,27,28,31,41,39,46,71,47,44,31,20,19,24,19,27,30,32,32,39,54,50,64,83,87,94,85,70,74,40,49,60,10,7,17,13,13,11,23,20,29,40,36,30,33,30,33,18,30,41,9,20,13,19,19,28,31,30,35,43,51,64,52,40,41,22,19,19,16,21,33,28,32,34,47,44,63,81,79,81,91,77,65,49,44,65,8,8,15,10,14,10,19,17,30,33,37,21,38,33,27,20,26,41,8,13,18,18,18,24,28,27,33,48,42,60,53,44,38,29,18,24,15,25,29,32,35,38,44,44,64,73,78,89,89,81,65,56,32,72,5,13,13,12,13,14,19,15,29,34,38,23,37,38,24,25,15,47,10,12,16,20,22,24,25,29,35,39,40,66,52,43,41,31,17,25,16,21,29,36,28,37,42,44,59,75,74,80,94,86,70,53,28,73,7,11,11,16,10,13,19,12,29,36,34,29,35,35,30,22,11,48,9,10,18,20,18,24,23,32,30,39,40,51,59,51,40,31,17,25,113,123,154,204,179,176,201,197,171,141,109,85,146,152,143,99,66,75,62,48,69,104,94,83,90,91,70,57,45,45,70,85,78,66,43,53,51,75,85,101,86,93,111,106,101,84,64,40,76,67,65,33,23,22,113,108,142,197,193,185,196,195,178,151,133,79,133,157,135,116,61,79,51,45,67,95,95,96,86,92,74,63,57,38,61,91,72,76,42,57,62,63,75,102,98,89,110,103,104,88,76,41,72,66,63,40,19,22,105,114,138,190,203,178,197,196,186,156,136,89,118,152,131,125,58,81,51,44,62,87,104,96,84,93,70,71,54,42,58,86,69,82,39,58,54,70,76,102,98,82,113,102,116,85,82,47,60,66,62,43,19,23,111,112,129,176,206,175,191,199,192,161,141,102,108,143,145,121,71,77,51,49,56,72,109,88,84,97,77,68,55,51,59,68,84,73,50,55,60,63,73,104,97,87,107,102,115,93,86,51,49,75,61,48,21,22,107,114,122,164,223,178,201,204,201,170,140,108,96,143,145,126,80,73,49,56,51,68,109,91,98,91,84,75,54,48,55,68,83,74,57,52,58,58,71,96,114,87,103,113,117,95,86,60,41,75,62,52,23,21,108,111,118,158,199,210,194,213,196,177,147,130,83,152,135,129,82,68,53,53,48,73,90,104,99,95,89,69,64,54,43,75,82,73,60,45,55,58,70,85,109,106,95,118,107,108,83,76,40,77,53,56,22,23,98,124,104,142,199,214,208,207,203,182,151,134,94,135,141,118,94,67,48,56,43,70,84,112,112,92,95,73,64,57,45,63,84,64,69,46,50,68,61,72,115,102,96,115,108,109,87,77,49,72,57,54,25,21,100,107,91,138,196,221,202,206,207,189,156,148,98,123,134,121,98,66,48,53,33,65,82,117,107,90,94,73,70,62,47,60,77,67,70,46,52,54,58,73,114,104,95,116,113,116,86,86,51,63,57,54,28,20,113,104,91,132,194,228,208,208,211,193,157,151,113,114,130,126,98,79,53,50,39,59,81,118,107,91,96,78,64,64,59,62,60,78,59,59,60,54,52,73,113,110,101,117,115,115,93,87,54,52,70,48,39,20,114,99,95,114,184,239,212,209,208,207,167,154,113,110,137,119,109,80,52,50,44,50,77,117,114,96,88,82,71,63,54,59,63,73,64,64,62,49,51,64,107,122,98,113,120,125,96,91,59,51,74,46,45,16,129,105,97,107,172,244,240,207,206,206,180,148,132,90,152,112,112,83,62,53,46,45,83,114,119,105,87,88,71,64,60,42,76,70,61,64,67,52,51,62,89,130,121,102,119,118,109,84,72,48,76,42,51,19,144,100,105,112,150,245,222,221,205,212,184,164,138,96,136,127,98,99,68,53,44,46,69,108,110,116,83,93,75,67,62,44,66,77,55,73,76,47,61,66,81,137,112,105,122,119,109,97,76,52,70,50,43,26,146,101,102,111,152,234,225,214,215,220,190,167,155,102,120,132,99,99,73,52,49,46,66,107,107,114,94,98,77,73,65,49,62,76,61,71,73,49,53,65,86,127,118,100,121,122,113,94,90,53,58,56,38,28,152,111,96,112,157,232,233,211,221,215,200,169,160,104,113,126,98,104,70,55,50,54,70,112,115,109,98,100,87,66,68,55,62,61,65,73,82,56,46,58,87,120,118,102,123,115,113,103,92,49,51,65,33,31,164,110,98,112,136,216,246,225,223,214,215,181,163,107,96,128,101,111,80,56,50,56,61,107,121,126,106,94,95,76,67,52,50,63,67,75,84,54,48,56,75,109,125,99,117,120,120,105,96,55,46,65,34,36,160,116,94,107,136,192,247,230,219,212,215,186,164,131,82,146,89,118,72,60,46,51,63,95,121,115,109,91,99,74,73,59,39,75,61,76,88,56,48,56,73,97,126,115,110,121,116,112,91,72,43,71,28,42,144,129,88,105,137,170,257,219,229,207,209,181,171,149,89,126,101,114,69,65,47,45,62,83,121,111,115,90,100,76,70,67,40,66,65,74,75,64,41,60,75,87,136,108,114,117,109,105,101,82,49,60,36,40,141,133,99,92,134,170,251,216,213,222,216,182,172,156,94,107,111,114,62,70,56,42,57,77,124,109,114,98,99,75,78,65,46,54,68,74,79,63,43,50,77,93,127,107,99,124,117,107,94,91,48,53,43,40,144,132,106,85,123,158,235,229,206,223,209,189,173,160,103,97,108,117,60,70,58,41,56,72,106,118,105,98,100,82,70,71,53,50,59,80,84,62,48,44,67,86,129,111,101,125,109,107,103,89,50,47,49,37,138,130,97,86,123,141,218,230,209,213,208,204,179,161,115,87,111,113,57,64,55,42,57,64,101,110,106,105,95,89,77,70,56,44,62,77,81,66,42,44,66,77,117,120,103,108,113,115,102,91,59,43,49,36,132,144,99,97,107,132,201,240,230,210,213,210,181,164,128,81,122,113,58,59,56,47,47,59,94,116,113,103,94,97,74,77,60,38,66,80,74,85,43,50,60,73,107,124,117,107,119,113,107,87,68,43,56,33,130,139,113,90,103,125,177,242,223,214,209,215,173,176,145,89,101,108,57,60,62,49,41,56,83,117,116,111,89,99,78,75,64,38,56,80,73,79,51,41,62,69,94,125,107,103,120,116,95,101,81,51,45,28,127,130,112,97,89,127,157,235,210,204,223,213,188,173,147,93,80,123,59,52,65,53,41,57,69,115,110,107,98,101,80,79,62,43,44,90,68,78,47,44,48,70,88,120,100,97,125,112,108,94,85,50,36,33,122,136,117,104,101,115,152,230,224,202,216,204,199,177,162,101,79,117,60,55,64,58,48,50,66,115,118,104,94,98,88,72,75,52,44,83,62,81,53,46,53,65,86,115,106,98,122,106,111,105,87,49,35,34,111,145,130,99,100,119,137,221,235,209,210,207,216,182,165,104,77,119,59,61,68,57,49,53,61,114,113,111,98,93,97,76,71,52,39,86,52,84,62,42,51,66,76,107,122,98,112,114,119,106,94,52,38,33,107,145,132,103,105,118,127,208,229,223,212,211,214,183,164,128,70,122,61,64,63,59,53,56,59,101,114,115,108,96,97,78,77,58,34,88,46,81,69,44,52,62,68,107,115,108,104,115,117,105,87,70,36,34,31,40,29,53,67,83,80,74,41,43,45,57,75,87,91,70,52,45,14,23,13,24,33,38,36,21,15,16,25,28,36,36,50,40,28,29,17,17,16,29,34,45,44,53,26,27,20,29,39,51,41,30,24,16,26,32,33,44,58,74,79,79,53,41,44,51,67,97,83,86,40,48,11,19,15,18,25,34,40,26,18,17,18,26,36,39,48,38,25,29,15,13,18,26,33,40,39,53,35,24,26,25,31,58,35,48,15,19,25,24,39,34,56,68,78,87,54,37,49,50,58,93,85,86,46,45,11,14,19,15,24,30,40,26,17,15,19,27,30,42,41,41,26,26,14,10,20,19,32,37,37,61,37,22,30,23,28,50,43,44,20,19,19,26,37,34,58,59,74,81,73,38,46,49,62,79,89,81,45,49,11,11,22,14,24,25,38,31,20,15,15,28,34,35,44,39,25,27,8,15,15,20,34,34,36,50,53,23,31,21,28,44,45,42,20,22,24,29,39,33,46,64,76,86,73,42,39,53,54,79,85,81,52,43,10,14,23,12,21,29,39,35,20,17,12,28,29,40,38,43,27,26,14,15,16,21,25,35,37,51,53,25,27,25,25,39,47,38,25,17,30,29,34,29,47,63,70,76,81,45,41,46,52,81,87,68,59,47,14,14,21,12,19,32,36,35,20,15,15,23,26,43,40,36,29,31,16,15,13,17,28,31,34,41,61,30,26,23,26,38,47,32,30,16,31,26,29,33,45,54,60,74,80,53,38,44,50,66,91,69,60,43,16,12,18,16,16,27,28,39,25,17,15,20,26,37,40,42,26,29,15,14,11,17,29,27,32,35,55,36,23,24,24,29,51,27,34,14,38,25,22,37,37,53,62,69,86,54,39,49,49,61,82,77,59,50,22,10,14,18,14,20,31,38,24,16,15,21,28,33,39,38,28,30,16,15,8,19,23,33,31,31,62,38,24,28,21,28,43,39,31,20,35,20,27,35,34,51,60,71,77,71,35,49,49,66,73,78,64,49,21,11,11,20,14,20,26,39,26,19,14,17,29,37,32,41,32,30,14,9,16,15,20,31,34,32,51,52,21,32,20,29,41,37,32,19,34,19,29,38,29,44,67,65,80,67,39,48,51,57,79,74,67,49,21,8,14,19,11,21,28,34,31,16,14,17,27,30,41,33,39,27,13,11,15,19,18,23,39,31,49,51,25,31,24,27,38,41,28,22,30,22,30,34,26,41,61,66,74,76,44,43,42,56,80,73,55,57,18,9,15,19,11,16,29,33,33,17,13,16,22,28,41,33,34,32,12,13,15,15,15,25,32,33,41,59,31,27,20,28,39,40,21,25,23,27,27,29,33,33,53,57,79,85,52,37,43,50,70,79,55,60,12,14,11,17,15,10,23,30,42,24,13,17,19,26,37,35,35,30,11,13,16,12,18,23,30,27,37,61,39,20,24,24,33,44,20,30,22,30,29,23,37,29,44,61,72,90,56,33,46,47,60,73,65,54,11,18,11,14,18,12,19,30,40,26,14,15,21,25,31,37,33,31,11,12,18,9,19,17,25,31,32,64,42,18,25,22,29,36,32,23,20,28,21,28,37,27,42,55,67,77,68,33,41,45,66,64,69,58,12,15,11,11,18,13,19,23,36,27,18,13,17,22,35,31,37,36,8,13,10,17,19,14,23,32,31,50,50,20,24,23,31,33,32,22,15,32,21,28,35,27,39,53,68,85,66,39,46,46,55,72,61,63,10,18,8,13,18,10,21,20,36,35,15,14,18,24,28,40,28,44,5,14,13,15,17,17,18,33,32,50,51,25,28,22,27,32,33,19,12,27,26,35,35,25,42,45,64,79,71,46,41,41,54,75,66,58,9,13,11,16,19,9,20,18,29,39,17,15,17,21,25,41,32,40,3,14,15,19,16,16,22,27,35,40,54,31,24,20,29,34,34,18,12,21,29,29,34,31,34,42,56,75,80,57,34,40,48,66,68,65,9,11,14,12,19,15,12,18,25,38,27,20,16,20,24,37,32,42,3,10,15,17,15,16,22,24,31,37,53,37,18,20,24,29,36,23,12,19,28,29,28,31,31,43,54,71,84,58,33,42,44,61,64,73,9,10,15,11,15,13,11,18,22,37,25,20,16,20,23,32,35,43,3,9,13,18,13,18,20,25,32,34,59,38,17,22,21,29,29,30,10,17,28,21,33,31,27,46,54,66,77,69,34,40,43,60,57,80,7,11,14,11,15,13,11,21,21,32,26,22,15,18,22,35,29,48,3,6,14,10,18,18,16,25,33,34,51,47,19,22,21,25,28,32,17,12,31,20,32,32,24,42,49,65,83,63,42,42,42,50,64,78,12,7,16,8,16,14,9,22,20,32,33,19,16,18,21,28,38,47,5,5,15,12,16,18,15,20,29,33,50,44,26,24,21,22,26,31,13,13,24,23,30,34,21,40,44,64,73,72,47,41,37,48,62,79,10,8,12,10,15,18,7,20,18,29,36,20,17,19,19,25,38,46,3,5,12,13,15,16,14,20,26,35,37,52,30,22,18,23,24,33,9,13,19,27,25,33,27,37,45,53,70,79,53,36,39,45,57,78,7,8,10,13,12,20,10,14,21,20,36,28,16,18,17,24,37,45,2,5,9,14,13,13,17,23,24,33,34,51,37,18,22,21,20,33,9,12,19,29,25,22,33,32,46,52,72,81,55,34,41,46,49,79,7,9,11,15,10,14,15,11,22,18,37,26,17,17,19,25,29,47,2,3,8,14,15,8,18,21,24,34,35,55,38,17,22,21,20,32,10,9,18,26,22,25,35,30,45,48,64,80,68,34,39,40,48,78,8,7,12,13,12,11,18,14,20,17,29,28,21,16,16,21,30,46,2,2,6,13,10,14,17,16,25,31,35,52,47,18,23,19,18,32,9,12,13,28,20,30,34,25,47,49,61,85,62,43,40,41,40,79,7,9,8,15,9,15,20,10,22,20,27,33,17,17,16,21,25,52,2,3,5,13,11,15,14,15,25,29,34,52,45,26,24,20,15,27,13,9,13,27,24,30,30,25,51,45,63,73,72,50,41,33,41,73,8,7,9,14,11,16,17,13,25,18,27,34,19,17,18,15,23,49,5,2,4,13,13,14,13,12,26,27,36,39,53,33,23,18,18,24,45,67,52,78,78,81,66,63,54,54,63,43,74,51,58,31,28,26,25,38,26,44,36,36,29,25,23,27,29,17,38,26,32,19,17,20,20,29,26,34,42,45,37,38,31,27,34,26,36,25,26,12,11,6,31,60,59,73,76,79,66,68,56,62,57,52,62,59,53,37,35,24,16,30,35,36,35,42,26,24,22,31,31,18,31,31,28,19,24,19,15,30,24,37,41,37,40,44,34,31,26,34,31,28,25,18,11,5,31,51,59,73,81,72,73,73,52,65,55,61,59,58,55,36,33,25,13,26,35,29,40,36,28,26,19,29,32,23,29,27,30,20,22,20,18,25,23,43,40,35,44,46,33,35,23,37,29,30,25,16,11,5,23,51,60,71,74,77,70,70,62,63,54,61,60,60,53,44,24,27,11,28,34,31,38,36,26,29,22,27,31,25,27,30,28,25,14,22,12,23,26,40,36,41,44,41,40,36,23,36,33,30,25,19,10,5,26,44,63,60,77,80,73,70,72,62,50,67,54,69,50,48,25,23,12,25,34,27,39,34,29,28,29,26,25,31,21,34,24,28,16,17,14,19,29,33,38,46,44,42,43,36,25,36,33,35,26,20,9,6,30,36,57,62,71,81,78,67,71,65,54,63,51,71,50,51,25,20,16,20,27,34,36,34,31,28,27,28,27,28,19,39,22,29,16,15,14,16,30,28,35,47,47,39,44,37,27,35,32,32,28,22,9,5,32,32,53,62,71,62,75,66,69,59,62,57,54,63,56,46,27,23,19,16,25,36,34,24,33,24,24,25,32,29,19,32,27,24,15,19,13,16,28,26,37,38,42,42,45,34,30,28,35,31,29,22,12,4,34,33,49,57,65,67,65,65,69,56,65,52,60,60,56,50,30,26,18,13,26,34,24,33,28,25,25,22,30,29,23,31,24,27,18,20,16,20,23,23,41,34,37,40,44,34,35,23,37,29,32,23,12,6,39,28,50,55,63,64,69,65,64,63,64,50,58,59,57,48,33,26,20,11,28,32,26,32,29,25,25,22,29,27,25,27,26,26,19,19,19,17,22,23,37,32,40,40,39,41,35,23,33,32,31,22,14,7,35,29,41,56,49,61,67,61,60,64,62,45,63,51,60,41,39,25,19,11,24,31,22,30,26,23,23,25,28,23,30,21,30,21,23,18,16,18,17,25,27,31,41,38,37,39,34,22,33,30,30,20,16,7,33,31,38,50,49,55,63,71,59,65,60,54,57,50,61,43,48,29,18,14,20,26,27,30,25,27,20,25,27,28,27,19,36,20,29,21,15,17,18,24,22,25,38,44,39,40,33,26,30,31,25,23,19,8,28,32,38,50,47,52,59,67,61,68,58,59,51,55,55,42,44,40,15,17,19,23,30,25,26,27,21,23,25,27,28,20,29,23,25,26,13,15,19,27,17,27,33,40,40,45,33,32,23,35,26,19,19,14,20,35,32,45,44,52,57,62,59,70,54,61,47,63,55,43,45,37,13,18,14,22,29,21,29,26,21,25,20,28,28,25,28,22,25,26,7,17,18,23,15,31,28,36,38,45,34,33,19,38,27,21,20,11,15,36,29,43,43,51,48,64,58,67,61,62,48,59,50,47,42,37,12,18,12,24,26,23,24,28,22,26,22,27,28,27,24,27,23,25,3,18,17,19,17,28,24,36,36,41,39,35,20,32,26,20,19,12,16,31,30,39,47,40,56,62,58,62,65,61,45,62,44,52,36,43,11,17,14,23,26,20,28,23,24,22,28,27,25,33,18,29,22,29,5,14,16,16,21,20,28,39,34,40,37,34,20,29,26,23,14,14,19,28,29,36,45,38,53,63,60,55,65,52,57,50,42,55,34,43,12,15,15,20,23,21,29,26,22,20,28,20,30,28,17,33,18,30,7,13,14,16,22,17,24,37,38,35,37,32,27,22,25,22,16,13,22,19,30,34,43,40,51,52,53,56,69,51,60,48,48,52,36,44,14,10,18,17,20,25,28,21,22,24,26,20,28,28,20,30,22,28,8,9,12,17,23,15,23,31,31,32,43,31,32,20,28,22,14,16,25,18,29,29,44,39,50,57,48,60,70,52,57,45,52,58,30,38,13,11,16,14,21,25,25,25,21,24,25,19,25,27,24,32,17,23,12,7,13,15,23,14,25,32,27,36,45,33,32,18,28,26,13,15,25,16,31,29,41,38,57,56,56,53,64,62,57,52,56,51,35,35,12,13,15,14,22,22,26,27,24,22,26,22,23,31,29,27,21,21,13,3,16,15,19,16,31,29,32,31,38,40,34,21,27,24,14,14,19,18,29,29,36,44,41,60,53,53,60,66,54,47,56,43,47,40,10,12,15,14,21,23,19,30,18,24,22,27,22,23,34,17,31,23,9,6,14,15,15,21,22,30,35,29,38,39,32,24,22,26,16,17,19,20,27,26,36,47,37,52,56,55,56,64,48,56,54,41,47,43,11,13,14,13,21,21,17,30,20,21,21,26,18,27,29,17,30,26,8,7,13,13,15,26,20,22,36,34,35,38,30,29,25,24,17,17,20,21,20,28,35,46,31,53,53,52,59,65,48,61,51,46,42,44,12,14,11,16,17,19,16,28,19,21,23,24,20,28,31,18,24,28,8,7,9,12,18,27,15,25,34,31,36,41,28,33,20,28,18,16,21,24,17,33,32,37,34,50,58,48,59,64,49,58,48,50,39,42,12,14,12,17,15,15,19,23,26,18,24,22,17,26,30,22,20,28,9,10,5,16,17,22,15,27,32,30,35,42,32,32,18,28,19,14,26,24,13,35,28,31,38,43,57,55,56,59,58,52,46,48,35,42,14,12,12,15,11,15,20,19,25,20,24,23,20,19,29,21,16,30,12,12,1,20,17,16,18,24,32,35,32,36,38,33,17,27,19,12,29,19,16,31,31,26,45,37,59,54,61,56,67,45,46,52,30,44,15,10,11,15,13,13,21,19,28,15,29,19,27,18,25,29,9,31,14,9,5,16,18,13,24,18,31,39,32,37,40,27,21,23,21,13,26,18,19,26,29,33,38,31,52,58,61,58,64,44,54,48,27,44,11,11,12,13,14,16,18,14,28,19,26,23,25,19,27,28,9,30,15,7,7,13,15,17,20,17,24,39,35,35,39,25,27,20,18,14,65,97,104,115,134,116,138,113,102,100,96,100,160,110,98,72,40,39,31,39,46,55,68,56,62,57,38,48,42,40,76,55,50,40,27,29,34,58,58,60,66,60,76,56,64,52,54,60,83,55,48,32,13,10,46,90,92,121,129,126,118,118,108,90,97,95,148,121,102,79,37,43,22,36,37,57,64,62,55,56,42,44,44,40,66,59,51,46,21,29,24,54,55,64,65,64,63,62,66,46,53,55,82,62,51,33,16,14,56,78,93,109,136,128,115,124,101,94,105,94,132,130,101,85,47,36,25,34,36,51,65,71,55,62,47,37,51,42,62,62,52,44,29,22,30,43,57,58,71,57,60,62,54,57,54,52,70,68,49,41,17,14,61,77,91,107,128,129,122,123,102,99,97,104,115,140,94,80,50,39,27,31,37,47,67,67,58,63,48,39,48,48,51,69,45,44,30,23,34,46,54,60,61,62,64,60,54,60,49,56,64,71,49,36,20,16,56,63,98,103,123,125,123,132,101,101,103,95,103,149,96,80,59,40,25,30,38,49,57,67,59,60,50,41,51,44,44,69,51,42,35,24,31,33,60,54,66,58,64,72,51,60,52,51,59,80,45,38,24,16,55,57,92,105,110,131,127,129,112,108,99,95,101,145,101,94,57,38,25,29,36,48,53,68,68,55,53,46,50,45,40,69,55,46,36,24,30,28,56,57,57,63,59,74,59,62,49,50,61,76,46,48,21,14,60,46,97,96,118,122,121,131,117,107,87,96,94,147,113,84,54,46,30,24,38,42,56,61,58,59,52,44,41,48,42,67,57,43,33,28,30,22,59,54,62,61,63,72,65,63,46,48,52,80,56,41,21,18,54,47,90,94,103,129,121,127,132,102,92,100,92,125,122,86,61,47,24,21,39,40,46,60,66,54,63,45,36,50,42,58,57,45,35,31,30,26,51,54,57,69,55,73,69,57,56,50,50,67,65,41,26,16,46,61,82,90,105,121,118,118,136,104,90,96,100,111,135,81,59,46,15,31,34,36,45,65,59,51,69,46,35,47,48,49,62,42,34,33,31,30,48,54,60,56,59,67,67,58,55,49,52,62,73,39,25,13,51,56,66,106,95,118,113,119,139,114,97,100,95,100,146,99,72,50,19,28,29,42,45,55,58,54,65,53,39,49,46,41,63,56,44,35,32,28,37,64,50,63,55,65,74,61,58,51,49,59,83,43,28,15,52,56,57,105,98,104,121,117,137,127,100,98,98,99,145,103,86,61,24,26,26,40,43,49,61,60,60,56,45,49,46,38,68,56,52,44,28,30,31,65,55,55,60,57,77,71,55,49,52,61,77,47,34,17,56,56,54,102,109,111,121,118,137,131,103,87,92,95,143,114,79,67,31,26,24,40,46,48,62,57,63,58,44,43,45,42,63,59,49,47,25,30,30,62,63,63,59,61,74,73,59,44,47,53,80,55,30,20,52,56,51,97,109,109,125,121,131,140,105,84,97,91,124,124,82,67,29,25,22,39,48,44,59,65,61,65,47,36,51,41,55,61,51,44,23,31,29,58,61,65,66,56,70,75,58,48,46,50,69,63,31,23,59,54,60,87,108,111,122,118,129,142,104,87,94,96,110,121,78,73,35,24,28,36,45,47,61,60,59,69,46,37,50,45,46,59,43,51,24,30,32,51,63,64,61,58,70,73,58,50,44,51,64,62,35,22,56,58,54,69,117,102,126,115,128,140,118,95,96,87,98,130,79,81,36,28,25,31,44,48,53,56,61,66,55,41,50,43,39,61,43,59,20,30,29,38,73,54,73,59,67,74,63,54,46,44,59,69,36,22,58,67,55,58,112,109,116,119,127,141,131,104,90,89,90,122,78,86,31,37,25,29,41,51,51,58,65,62,57,47,49,44,32,61,44,58,27,30,30,29,71,58,65,61,62,79,74,57,41,45,58,61,34,28,60,61,58,56,103,109,107,117,125,134,129,107,87,89,89,118,83,84,32,32,28,26,37,52,44,59,61,64,56,46,43,48,36,54,47,50,28,29,30,30,66,57,63,58,64,70,73,61,44,41,53,64,36,34,63,53,63,56,95,102,98,119,131,133,140,104,90,96,83,103,81,91,33,29,31,25,36,45,42,57,68,60,61,48,37,51,37,49,42,57,30,24,32,31,59,57,56,62,63,73,79,56,53,45,46,54,39,34,54,53,53,62,94,91,97,111,121,127,147,108,90,94,92,91,85,99,25,30,24,29,37,36,43,58,60,56,68,50,37,49,45,37,48,62,29,23,29,33,57,55,54,53,61,71,79,58,53,45,47,54,37,37,57,57,57,50,73,107,86,110,116,130,133,121,88,96,87,88,90,90,26,31,26,21,31,43,41,55,57,61,62,55,39,47,45,34,48,55,31,26,31,29,42,64,45,55,59,69,71,66,49,49,42,54,42,35,51,59,61,54,59,100,94,105,116,132,126,133,92,88,88,81,95,92,25,28,31,26,27,39,41,54,56,67,55,60,42,46,45,30,53,54,26,31,30,28,32,61,53,51,60,65,71,73,50,42,43,51,42,38,45,66,60,56,56,101,93,104,116,125,125,133,100,79,89,80,85,91,22,32,31,28,25,41,39,50,60,61,59,57,44,39,48,30,46,52,23,34,29,28,31,60,54,54,56,64,66,76,56,40,41,50,39,39,51,70,59,59,53,97,100,91,122,127,127,136,107,81,89,75,79,89,25,33,31,30,23,36,47,41,60,66,59,61,49,34,48,33,44,47,26,37,28,29,30,61,53,50,62,61,68,75,58,47,41,42,35,42,53,62,62,54,61,96,91,91,117,126,135,143,109,82,88,82,71,89,24,27,32,26,28,36,37,43,58,63,62,71,49,36,48,42,35,51,29,35,30,28,33,60,54,48,59,63,73,72,60,46,40,40,36,38,52,63,65,63,60,81,109,89,121,118,140,138,125,85,89,73,68,86,27,29,34,31,30,29,42,46,57,60,68,65,57,38,44,40,31,53,25,34,31,32,30,52,67,43,64,58,72,73,68,47,45,33,37,33,64,59,64,66,62,68,117,94,120,124,133,132,136,89,81,78,62,91,34,29,28,35,31,29,45,45,58,61,70,59,63,41,42,42,24,56,30,30,36,31,31,39,72,49,62,63,63,73,73,48,39,36,38,35,129,124,160,241,244,226,263,234,206,167,149,143,170,210,148,103,70,54,76,54,87,123,119,97,127,115,102,71,74,83,86,113,83,63,51,45,53,70,73,118,125,129,136,119,104,96,75,60,84,97,65,40,19,9,115,118,145,200,261,238,234,256,210,190,149,133,177,200,141,121,75,55,60,62,67,109,125,111,106,124,104,88,72,74,92,104,82,73,53,48,55,56,78,91,136,127,128,132,106,102,77,59,85,96,59,48,22,7,114,133,140,194,273,237,240,290,215,192,167,135,179,184,153,125,81,61,58,75,60,106,131,113,113,142,104,89,77,68,94,99,86,73,58,50,56,58,80,88,142,125,127,148,112,103,89,67,84,85,67,52,23,11,123,126,146,184,263,250,259,301,228,218,169,150,152,183,162,128,71,64,57,74,66,91,131,116,125,142,112,103,75,76,83,97,91,73,47,53,66,52,80,93,132,134,134,159,116,115,94,74,69,86,71,55,24,11,140,130,144,172,256,258,263,286,274,223,184,147,147,163,189,129,70,68,68,77,64,87,135,121,126,131,131,110,77,72,86,86,100,76,46,55,72,53,80,85,121,137,137,155,143,113,107,75,61,77,89,53,24,13,156,136,144,159,247,272,273,284,281,232,197,157,129,172,180,132,82,70,78,79,67,78,125,134,137,133,128,119,82,74,74,89,100,74,52,56,78,57,77,81,122,138,136,151,153,113,115,83,55,83,80,58,30,14,174,137,144,158,230,271,267,288,291,240,224,155,130,174,185,124,84,71,94,71,76,70,123,133,137,133,132,118,102,72,73,88,98,71,54,53,80,66,68,88,107,138,130,155,159,122,122,83,57,86,87,53,30,18,162,139,139,170,214,288,274,286,311,240,215,173,138,175,170,135,86,80,78,71,74,68,113,137,135,141,143,117,100,81,69,91,93,79,52,59,84,68,65,102,101,151,139,145,168,123,115,92,69,84,77,56,34,21,178,132,131,182,213,273,272,302,309,254,233,181,148,152,170,138,93,76,90,63,72,71,106,134,130,145,139,128,105,83,77,85,92,82,59,55,88,69,59,111,107,139,142,157,170,126,128,98,71,67,78,56,34,21,160,156,135,177,190,276,278,316,308,276,230,183,157,145,159,163,96,76,70,79,78,66,94,137,136,142,139,135,111,76,80,85,84,90,60,57,90,77,57,111,96,139,142,174,169,141,119,107,77,60,75,73,36,19,168,152,144,156,173,246,283,320,312,278,241,201,162,130,163,162,98,79,66,83,82,66,88,116,131,150,147,129,117,88,81,78,84,89,61,57,102,69,62,90,85,130,152,170,165,149,124,113,81,52,79,73,37,22,176,169,155,144,178,240,277,313,312,303,247,223,163,131,162,164,99,87,71,92,80,71,89,122,126,139,152,138,117,103,83,74,83,88,59,64,105,77,75,73,89,118,151,174,160,165,130,120,80,57,79,76,40,23,172,177,164,149,170,227,278,309,314,325,254,214,180,136,167,152,112,81,77,87,87,77,82,115,132,136,152,145,127,98,88,72,89,83,66,55,95,90,77,72,88,112,146,173,162,180,127,116,92,64,78,69,46,26,170,194,163,141,166,210,273,310,327,312,266,228,184,151,146,156,114,90,77,101,83,76,76,106,135,143,155,144,129,104,86,80,80,84,66,62,93,93,80,65,90,104,138,167,172,168,137,124,98,71,66,72,48,28,187,195,188,142,166,178,283,324,352,314,283,227,180,162,137,146,130,93,83,92,97,76,79,89,136,164,158,148,137,107,79,83,80,85,71,60,104,103,91,66,87,89,147,160,194,166,146,120,101,79,57,61,59,33,182,210,189,154,174,161,279,329,356,322,294,244,203,159,128,148,126,97,80,94,107,83,79,86,135,159,166,160,138,117,90,81,80,80,74,62,102,116,82,71,95,75,144,170,190,162,156,127,113,78,48,68,52,35,181,209,193,173,160,174,253,336,346,324,318,241,221,167,130,141,131,104,82,93,110,90,81,89,127,164,163,157,149,114,104,85,75,79,76,67,99,116,83,83,79,85,126,172,183,167,169,127,117,82,55,62,55,37,178,207,189,168,163,169,230,335,359,325,334,246,215,180,131,145,123,111,77,101,97,86,83,79,121,161,170,158,156,123,100,90,72,83,75,72,101,106,92,82,80,90,109,174,189,167,178,123,115,90,59,62,48,39,159,208,215,172,148,169,219,320,362,338,325,273,228,177,144,125,125,119,67,101,112,81,79,82,110,155,179,163,151,139,105,86,78,78,75,78,92,107,103,91,69,87,109,165,183,175,174,134,123,91,66,47,50,41,161,216,214,187,154,163,191,327,367,358,324,289,235,180,152,121,116,128,75,104,107,92,83,70,100,155,191,167,154,144,112,84,81,76,72,86,86,112,107,95,71,93,91,172,176,191,170,145,123,96,71,45,44,42,155,222,218,183,162,163,184,311,356,360,320,306,240,200,150,114,113,126,81,102,101,98,88,68,98,153,177,168,160,149,115,93,82,73,64,85,74,120,117,85,74,95,86,158,179,192,160,157,125,107,68,41,49,41,151,208,218,193,170,156,188,285,359,367,321,315,250,210,161,118,114,128,75,97,100,107,86,78,92,151,175,173,160,155,116,103,84,70,68,81,76,111,118,86,84,78,96,134,184,194,161,160,134,107,77,48,46,47,138,212,215,203,173,161,184,271,344,359,326,320,256,204,162,121,121,129,71,103,103,104,85,82,90,148,164,177,162,156,125,94,87,69,73,85,67,109,112,99,88,79,94,123,180,182,164,164,131,110,75,52,48,44,140,199,220,232,174,149,184,258,322,366,333,321,280,224,164,133,102,132,74,100,110,118,82,73,91,137,159,183,163,162,142,103,83,75,67,85,66,99,110,114,92,76,93,121,163,183,170,159,138,121,81,58,35,47,130,185,230,223,194,154,170,225,335,364,355,320,285,234,175,141,97,141,67,98,113,111,96,74,83,118,163,189,169,163,147,110,82,78,65,92,63,87,117,112,98,80,87,107,172,175,186,157,138,124,93,63,32,49,122,179,226,229,189,157,161,213,318,363,360,319,292,244,185,142,95,143,58,99,110,109,94,78,76,116,156,179,173,165,148,118,83,79,65,90,64,80,116,120,95,79,85,97,162,184,187,154,144,126,102,63,30,53,36,65,73,78,95,92,73,71,68,57,51,55,75,77,64,33,20,24,17,32,38,33,44,39,37,25,37,23,27,25,40,34,31,24,14,16,20,32,35,45,51,53,35,47,30,34,24,30,35,43,32,10,6,8,26,63,78,69,90,101,70,82,66,62,50,51,78,77,64,40,25,24,12,33,39,31,38,45,32,33,34,23,26,26,38,37,29,24,19,15,14,30,39,38,52,56,38,49,32,39,24,25,40,40,35,16,6,9,30,57,82,74,86,89,79,79,66,67,50,52,65,85,64,44,26,25,12,33,38,39,35,37,39,36,29,32,22,26,32,42,29,25,20,15,18,24,44,35,52,53,40,43,37,35,27,25,33,43,35,18,6,10,27,51,77,76,91,93,91,82,70,76,46,58,58,83,67,47,29,23,9,26,40,33,43,37,46,42,22,38,19,29,24,44,32,24,22,16,18,25,37,43,48,56,45,40,48,38,27,29,34,39,35,23,7,7,31,48,82,76,92,87,96,86,72,71,52,56,59,75,74,51,26,21,9,22,43,35,41,39,43,48,20,37,22,27,25,41,32,27,19,16,22,26,39,41,51,48,53,38,52,34,30,29,34,34,42,24,7,5,41,33,77,87,75,97,87,91,77,69,57,48,58,75,73,58,22,24,15,17,40,41,30,46,38,49,26,36,23,25,26,37,35,30,15,18,26,16,37,46,45,51,49,42,51,33,34,23,32,38,38,28,7,6,39,36,71,82,71,91,93,84,89,69,59,51,56,71,77,45,27,21,15,15,33,42,33,40,44,44,34,33,24,28,26,36,38,25,16,17,24,21,38,40,38,51,49,40,55,36,35,23,30,35,39,20,11,4,32,39,59,81,76,79,87,87,90,71,68,55,58,59,82,50,27,20,15,13,32,38,38,34,41,43,43,27,32,28,27,28,43,25,17,16,17,26,27,43,38,45,46,44,47,44,36,27,31,31,39,25,10,4,29,39,55,78,70,83,80,91,90,72,78,48,57,58,82,54,28,23,13,11,30,42,32,38,38,47,45,22,38,24,28,25,47,27,18,19,16,28,25,36,38,45,42,44,45,50,40,24,29,33,35,27,10,4,26,31,51,75,66,83,71,92,89,73,73,51,56,56,72,58,31,24,14,6,28,38,31,38,31,45,48,20,37,23,27,27,39,27,21,20,12,25,23,37,35,45,40,47,41,53,36,28,29,29,33,31,10,4,21,48,40,73,72,70,82,86,92,78,73,58,52,54,71,61,35,25,13,15,22,39,36,29,37,39,50,25,38,24,27,26,35,30,22,21,8,33,18,34,36,41,45,47,42,53,35,34,25,28,36,31,13,4,38,44,43,62,69,66,82,85,80,87,71,61,55,58,67,63,34,26,18,18,20,31,35,33,37,38,42,32,35,26,30,27,33,32,20,21,20,26,23,31,34,33,45,47,38,55,36,35,25,31,34,31,14,5,36,46,42,53,73,67,82,90,83,92,71,67,57,60,58,64,42,26,17,23,12,34,32,35,38,37,44,41,31,34,26,27,27,34,24,20,19,23,30,19,41,32,44,53,39,51,40,33,31,33,31,30,18,6,44,48,45,51,73,63,80,93,90,96,73,78,47,61,57,67,45,29,20,24,15,29,40,27,39,39,46,47,26,40,23,29,25,37,26,20,24,24,30,22,33,36,41,54,44,49,47,38,24,32,32,30,19,9,38,50,40,52,76,60,79,77,98,92,79,73,52,61,53,66,44,34,16,26,13,26,43,26,34,31,46,49,26,38,25,27,26,39,21,25,22,24,27,26,33,34,45,46,52,43,53,35,27,34,27,27,23,9,34,42,50,40,67,69,68,82,98,95,80,74,52,56,53,60,49,34,17,19,20,19,35,34,27,34,42,53,27,38,23,28,26,33,24,26,17,23,30,21,32,35,41,48,56,42,53,36,29,28,27,27,25,8,29,47,44,36,59,61,66,88,98,89,86,72,56,53,58,58,50,33,13,22,18,15,32,30,30,40,42,47,32,35,24,29,27,31,25,23,16,25,26,21,27,31,36,48,56,42,54,37,32,24,31,27,25,10,23,44,42,39,49,69,61,83,89,84,95,66,63,54,56,51,53,41,11,19,22,12,30,31,28,40,36,43,44,29,32,24,26,25,29,27,12,25,20,27,19,38,33,43,53,41,51,37,31,30,30,26,24,14,21,38,47,39,44,65,53,79,83,85,91,69,72,45,55,51,53,42,10,16,23,14,23,33,23,39,31,43,46,27,36,20,26,24,32,26,11,22,24,25,21,32,30,40,52,42,45,42,36,25,29,27,21,16,21,31,53,32,43,62,52,76,72,89,86,72,71,52,58,50,54,43,12,12,28,12,17,32,25,37,31,41,47,25,36,24,25,28,32,23,9,19,25,20,26,30,27,39,41,48,39,47,35,28,33,22,22,20,27,33,42,43,29,56,66,63,82,88,90,71,73,53,53,48,52,45,15,16,19,19,10,30,32,32,34,40,52,26,35,24,23,26,31,26,12,17,23,24,19,26,34,31,48,48,38,45,38,29,30,22,21,19,38,33,41,45,32,52,62,54,92,90,83,82,72,59,52,51,51,40,21,16,17,20,12,28,28,30,43,39,43,34,35,26,27,26,30,22,17,17,24,25,20,24,34,24,49,51,40,48,37,33,25,25,21,18,39,27,43,42,35,38,64,56,84,87,80,91,65,63,56,48,43,42,20,14,17,21,11,22,24,31,42,34,40,46,27,32,24,23,24,24,19,13,26,21,24,16,40,25,42,53,40,45,38,31,32,25,19,18,34,24,39,45,33,39,65,58,79,93,83,86,61,69,44,54,40,48,17,13,15,20,11,19,31,28,38,37,40,49,22,36,19,25,21,30,17,11,24,25,22,20,34,30,41,56,43,37,39,33,25,29,19,18,42,28,37,53,33,32,63,55,83,86,92,87,63,65,51,52,38,52,23,18,13,26,12,12,33,25,41,39,42,49,21,34,23,22,23,30,19,10,24,27,21,20,30,30,42,47,50,38,42,31,28,30,15,22,39,31,38,45,46,35,58,64,71,89,94,87,70,69,53,48,41,52,23,18,17,21,18,15,29,33,33,43,39,50,26,36,22,21,24,31,16,13,21,24,28,20,29,31,38,46,55,37,44,33,31,27,17,21,6,8,12,19,14,20,24,25,24,26,25,22,22,41,39,25,19,8,5,5,6,6,3,5,15,15,8,13,16,8,12,21,18,15,12,1,1,3,6,13,11,15,9,10,16,13,9,14,10,20,21,10,7,7,5,6,12,14,16,20,23,25,23,23,28,22,22,41,34,31,20,7,3,6,5,6,6,2,13,15,9,11,15,12,11,18,15,20,12,2,2,null,7,8,10,18,10,10,14,12,13,10,11,23,19,11,8,5,4,4,12,11,15,20,19,30,23,23,26,31,18,31,43,28,23,6,2,4,6,4,6,2,11,19,8,11,12,18,6,18,18,16,14,3,2,null,6,7,9,18,8,11,15,12,14,13,12,13,25,12,9,3,2,5,12,16,11,23,20,27,24,28,27,30,18,29,38,30,21,6,1,4,7,5,4,4,12,16,12,10,14,18,6,16,21,13,14,3,1,1,5,11,7,19,8,11,12,18,13,12,12,13,17,17,7,3,2,6,8,14,15,17,16,25,30,27,31,26,21,24,37,35,19,10,1,5,5,6,6,4,5,14,16,9,17,17,7,13,20,14,14,6,1,1,3,8,9,13,11,11,14,18,14,9,14,11,17,21,5,4,0,7,7,12,18,19,17,24,33,29,30,27,20,26,36,28,21,12,0,5,5,4,8,7,2,14,20,10,16,17,9,12,21,11,13,7,0,2,2,8,10,12,15,10,13,19,14,10,11,14,15,17,8,5,2,5,9,11,14,17,24,20,32,27,31,30,22,26,37,28,21,12,0,3,7,2,5,4,9,11,18,11,17,17,12,13,18,11,13,9,2,2,2,9,9,13,15,9,14,16,14,13,10,13,19,17,8,3,6,5,5,14,14,20,24,24,36,26,29,26,33,18,32,33,18,17,0,3,5,6,3,6,6,12,21,10,17,11,20,7,18,13,10,13,6,2,0,8,11,14,18,12,15,16,12,15,13,11,14,20,8,4,6,5,8,14,16,14,22,28,36,28,32,28,32,19,26,31,25,18,1,2,7,8,3,4,6,14,18,13,14,16,20,5,15,16,10,13,5,3,1,6,13,10,16,14,18,15,18,12,12,14,11,15,15,5,6,5,8,10,16,11,22,26,30,34,29,34,27,21,22,31,22,19,2,2,7,7,3,4,6,10,17,16,12,19,17,6,13,15,8,14,4,3,1,3,13,7,16,16,13,18,17,15,10,15,9,16,14,5,8,4,8,9,17,15,20,28,26,36,36,32,30,20,24,28,20,22,5,1,7,6,4,5,6,8,15,20,14,19,18,6,13,16,7,13,3,3,1,3,13,10,14,20,11,16,22,13,12,14,11,12,13,9,10,4,7,9,16,20,21,36,20,34,33,32,30,25,21,32,19,21,8,0,5,7,4,6,8,13,9,20,13,16,18,13,12,15,7,14,2,4,2,2,12,14,13,23,11,14,20,16,12,12,9,17,12,7,11,5,6,7,15,18,24,31,21,37,29,28,23,32,16,27,24,21,9,0,4,6,5,5,11,9,11,21,10,15,12,19,7,17,7,15,2,5,2,1,10,13,13,22,10,16,19,13,11,13,9,10,17,6,10,6,4,8,14,19,22,31,25,33,28,30,27,29,15,23,24,27,7,2,2,7,5,6,11,8,13,17,12,13,16,17,5,15,12,15,3,4,2,1,9,13,11,23,12,16,16,17,11,12,10,8,12,12,9,12,4,8,13,18,21,29,21,30,32,28,29,24,19,20,23,29,5,6,2,6,8,4,10,9,8,17,16,11,16,15,7,13,11,17,4,6,2,2,5,14,11,20,13,13,16,17,13,9,12,7,12,12,4,16,4,6,11,19,19,29,23,25,32,33,22,28,19,20,19,26,1,10,1,5,7,6,8,11,8,13,18,13,13,17,8,12,11,14,3,6,3,1,4,13,11,18,15,12,14,20,9,11,11,8,8,12,4,15,6,7,10,15,17,29,26,21,33,23,21,28,19,20,20,26,2,10,1,5,8,6,6,12,8,9,20,9,11,16,11,11,11,15,2,5,5,2,2,9,11,17,18,12,13,14,10,12,8,9,9,11,5,15,6,7,6,18,17,24,27,21,34,20,22,22,26,16,17,24,1,10,1,5,5,8,5,12,7,9,22,8,14,11,16,6,13,13,4,5,5,2,1,10,12,12,20,12,12,12,8,11,10,10,4,11,5,11,8,5,12,15,22,21,28,26,34,22,20,25,26,15,16,25,2,7,3,3,8,7,7,12,5,14,18,11,10,15,16,4,12,15,3,4,5,2,4,8,15,9,23,12,16,11,10,10,10,11,4,10,6,7,13,5,10,14,18,21,30,25,33,26,20,25,21,17,15,21,3,5,7,2,6,8,5,8,10,9,19,14,8,15,13,5,11,13,3,2,6,3,4,6,13,13,20,16,14,12,12,10,8,12,4,8,8,3,17,5,7,10,17,17,28,25,25,27,23,18,23,17,17,19,3,2,10,1,5,4,4,5,10,9,14,15,9,12,14,6,11,11,5,1,7,4,2,6,13,12,18,16,11,12,14,6,9,11,6,8,5,3,17,5,3,7,16,16,24,31,20,28,19,18,20,16,18,20,1,2,10,1,2,4,3,6,10,10,7,17,8,9,12,8,9,12,4,1,7,4,1,3,13,10,14,21,13,11,11,9,8,8,9,8,5,5,15,9,3,3,13,13,29,30,24,29,20,15,18,20,14,18,2,2,9,2,2,1,5,4,14,9,9,17,8,8,9,11,6,11,3,3,6,7,1,2,8,9,15,21,15,12,12,7,9,9,8,7,7,4,11,7,4,2,10,16,22,26,26,30,21,16,20,19,11,22,2,1,7,2,2,1,3,4,10,5,12,15,10,6,12,10,3,14,5,3,4,5,2,1,7,12,12,21,14,15,11,10,8,9,8,8,6,6,6,12,4,2,10,17,18,26,24,30,27,17,21,16,12,22,2,3,3,6,2,1,6,4,6,7,9,16,15,5,13,9,4,14,4,3,3,6,2,1,4,13,12,19,15,14,12,12,8,7,8,8,7,7,3,13,3,2,5,19,16,24,26,26,28,21,18,16,15,17,2,3,1,6,1,2,2,7,4,7,10,12,15,8,11,9,5,13,5,4,2,7,2,0,3,12,12,17,16,14,13,13,7,7,10,4,64,89,117,156,168,135,163,169,140,128,134,128,182,163,123,105,84,60,29,38,58,63,88,53,85,64,73,56,71,53,84,74,63,59,49,41,35,51,60,94,80,83,78,104,67,73,63,76,98,89,60,46,35,19,45,87,118,129,153,156,127,179,140,130,119,144,158,169,125,105,72,74,25,37,55,56,78,67,64,84,61,59,60,67,79,83,51,63,41,49,20,50,63,73,75,89,63,95,79,71,59,77,79,86,74,42,31,25,57,79,119,117,147,161,127,170,148,131,120,142,150,168,131,111,78,75,34,31,57,50,67,79,56,83,63,62,59,65,75,79,53,71,43,52,23,47,62,66,81,82,70,87,85,69,61,77,76,89,79,40,34,23,66,72,102,124,150,148,135,156,171,133,125,137,139,164,131,119,74,81,35,33,41,61,63,74,57,86,67,64,63,70,65,71,58,73,46,54,31,39,61,63,87,74,78,70,104,69,62,67,74,93,73,46,28,27,69,70,94,121,148,151,135,149,180,132,128,140,131,165,140,111,75,82,40,33,35,63,58,78,55,83,71,71,59,71,57,74,62,65,47,55,29,37,59,58,90,73,80,66,109,61,69,69,74,91,78,46,28,27,74,64,85,115,144,165,150,151,179,146,126,132,134,168,140,115,76,77,39,34,35,57,56,85,66,81,73,71,64,66,56,85,64,61,48,51,35,30,50,58,88,80,84,70,106,75,62,66,78,83,76,54,28,26,78,52,96,113,135,165,172,138,193,142,142,128,149,154,153,109,75,74,42,27,44,55,58,77,76,70,89,60,71,62,69,76,79,49,49,45,36,25,52,58,77,88,96,68,104,82,71,66,80,78,74,60,26,29,72,63,89,118,121,156,181,148,188,159,143,128,151,146,153,113,79,71,35,36,39,57,52,65,83,71,89,65,75,61,70,73,77,48,56,45,37,27,50,61,69,91,98,77,99,94,68,67,81,73,76,65,23,26,62,73,82,109,129,158,178,152,179,177,145,136,140,139,151,119,87,74,28,38,41,43,61,64,89,63,92,74,72,68,74,65,71,59,54,48,34,35,41,66,68,94,89,89,87,103,73,68,66,74,80,60,33,26,80,78,79,103,121,164,191,170,190,185,146,140,143,135,155,126,84,77,38,42,39,39,62,75,90,66,95,71,77,68,73,61,74,59,51,51,42,36,40,64,59,89,101,104,95,114,69,72,70,74,81,67,33,26,79,86,74,97,117,170,196,181,182,187,160,135,136,129,157,125,95,80,40,45,39,38,61,71,91,74,91,74,76,66,69,58,81,64,49,52,39,41,35,59,56,99,105,107,91,113,84,69,67,71,76,61,46,28,79,80,65,106,131,182,228,207,173,215,158,152,138,143,140,136,89,81,41,43,35,46,64,76,96,84,82,95,66,74,66,68,71,76,41,52,38,37,30,60,67,106,132,123,91,120,92,78,72,75,69,60,48,29,100,86,77,101,140,175,265,242,194,209,187,161,138,144,133,132,92,88,52,45,45,43,66,75,111,104,88,93,79,77,64,67,65,72,42,59,48,41,32,58,74,100,154,138,106,116,108,84,74,77,68,60,50,29,105,82,83,88,133,183,271,248,216,199,206,164,149,136,126,135,90,98,53,45,49,42,60,81,113,110,79,101,83,76,71,67,58,68,46,66,52,37,34,46,73,102,158,138,137,98,123,88,78,69,68,67,44,32,115,98,83,90,123,193,274,253,230,206,207,164,155,144,121,137,100,100,55,55,48,46,50,93,116,112,85,104,79,83,71,73,56,67,51,68,60,43,35,44,73,100,158,141,145,102,128,81,84,71,65,70,49,32,115,98,87,86,112,175,272,273,234,205,216,169,157,135,122,135,106,101,53,56,47,45,45,84,109,127,92,101,80,81,75,69,51,71,59,67,62,42,40,41,67,91,163,146,142,104,136,88,82,66,71,64,47,34,102,113,90,66,116,175,246,278,241,205,228,168,159,139,129,124,106,110,47,62,46,38,50,79,107,121,97,93,94,73,76,65,62,63,65,66,55,51,44,28,66,96,139,157,144,112,134,95,83,74,67,61,41,44,97,110,93,79,105,162,201,271,245,209,217,195,160,141,125,116,109,116,49,52,49,44,41,77,87,111,106,92,95,83,80,65,62,59,63,71,48,58,44,35,64,85,114,160,139,117,122,112,80,76,63,57,46,45,102,111,88,82,97,141,192,266,227,227,213,214,165,146,124,114,107,113,51,51,45,45,41,66,88,110,108,86,107,86,75,75,64,58,56,72,51,60,43,37,56,75,104,156,119,141,106,128,90,71,60,56,51,41,105,116,100,80,92,117,180,265,237,221,222,206,167,145,135,110,108,119,52,53,51,41,43,51,79,114,107,82,110,81,83,74,71,52,57,76,53,63,49,39,49,66,101,151,130,139,112,125,84,71,64,58,51,43,109,113,101,84,91,114,165,254,248,213,220,214,182,141,131,104,113,119,48,51,53,43,47,53,76,105,116,88,106,88,83,71,71,44,65,75,61,62,48,41,44,61,89,149,132,125,114,126,99,70,60,60,48,44,111,118,113,82,76,126,167,231,267,221,214,233,169,146,145,116,101,109,47,53,56,41,41,62,72,101,115,95,97,101,74,71,74,56,55,70,64,65,57,41,35,64,95,130,152,126,117,132,95,75,71,60,46,39,106,103,118,91,71,115,161,221,263,238,204,219,191,153,146,116,96,112,47,51,54,43,41,56,75,93,108,101,88,100,83,72,72,60,53,71,59,52,64,48,30,59,86,128,155,137,116,119,108,81,74,56,43,41,94,112,118,85,77,102,139,214,259,235,217,216,211,150,143,112,91,111,33,56,53,37,43,51,68,97,102,103,79,113,85,67,77,58,48,67,61,56,65,48,34,51,71,117,157,132,138,103,126,83,66,54,43,44,89,122,132,104,79,103,143,205,263,260,224,223,217,156,141,126,90,112,38,64,59,49,44,48,70,97,114,119,80,113,82,76,70,66,43,68,51,58,73,55,35,55,73,108,149,141,144,110,135,80,71,60,47,44,95,131,128,107,102,102,134,197,269,270,231,228,220,184,139,127,91,121,44,64,58,55,51,51,66,93,117,124,94,108,88,87,67,67,41,71,51,67,70,52,51,51,68,104,152,146,137,120,132,97,72,60,50,50]}