#include <bits/stdc++.h>
using namespace std;

const long long MAX = 1000000000000000000;

long long MAP[18][10][10] = {
{{1,0,0,0,0,0,0,0,0,0},
{0,1,0,0,0,0,0,0,0,0},
{0,0,1,0,0,0,0,0,0,0},
{0,0,0,1,0,0,0,0,0,0},
{0,0,0,0,1,0,0,0,0,0},
{0,0,0,0,0,1,0,0,0,0},
{0,0,0,0,0,0,1,0,0,0},
{0,0,0,0,0,0,0,1,0,0},
{0,0,0,0,0,0,0,0,1,0},
{0,0,0,0,0,0,0,0,0,1}},

{{10,0,0,0,0,0,0,0,0,0},
{1,1,1,1,1,1,1,1,1,1},
{2,0,2,0,2,0,2,0,2,0},
{1,0,2,1,1,1,1,0,2,1},
{2,0,1,0,1,0,3,0,3,0},
{7,0,0,0,0,3,0,0,0,0},
{3,0,1,0,0,0,2,0,4,0},
{2,0,1,0,1,1,1,1,3,0},
{3,0,0,0,1,0,3,0,3,0},
{3,0,0,0,2,0,0,0,4,1}},

{{100,0,0,0,0,0,0,0,0,0},
{34,1,8,2,9,6,13,2,22,3},
{44,0,10,0,8,0,20,0,18,0},
{40,0,11,1,9,5,12,0,20,2},
{48,0,6,0,5,0,26,0,15,0},
{87,0,0,0,0,13,0,0,0,0},
{51,0,9,0,5,0,17,0,18,0},
{47,0,9,0,8,5,20,1,10,0},
{54,0,4,0,3,0,25,0,14,0},
{47,0,11,0,8,4,8,0,21,1}},

{{1000,0,0,0,0,0,0,0,0,0},
{552,1,68,3,55,33,141,3,138,6},
{632,0,58,0,33,0,162,0,115,0},
{613,0,79,1,39,21,105,0,139,3},
{681,0,39,0,16,0,157,0,107,0},
{958,0,0,0,0,42,0,0,0,0},
{694,0,61,0,18,0,107,0,120,0},
{694,0,42,0,28,21,160,1,54,0},
{755,0,32,0,6,0,124,0,83,0},
{684,0,87,0,19,15,61,0,133,1}},

{{10000,0,0,0,0,0,0,0,0,0},
{7263,1,466,4,214,132,1017,4,889,10},
{7913,0,353,0,98,0,920,0,716,0},
{7931,0,474,1,110,74,613,0,793,4},
{8431,0,256,0,37,0,716,0,560,0},
{9875,0,0,0,0,125,0,0,0,0},
{8480,0,324,0,42,0,551,0,603,0},
{8490,0,158,0,68,64,851,1,368,0},
{8853,0,204,0,10,0,549,0,384,0},
{8426,0,435,0,36,40,454,0,608,1}},

{{100000,0,0,0,0,0,0,0,0,0},
{85662,1,2670,5,615,435,5671,5,4921,15},
{89196,0,1897,0,230,0,4875,0,3802,0},
{89061,0,2301,1,245,245,4231,0,3911,5},
{91445,0,1356,0,71,0,4138,0,2990,0},
{99619,0,0,0,0,381,0,0,0,0},
{91008,0,1505,0,80,0,4376,0,3031,0},
{91302,0,615,0,135,245,4841,1,2861,0},
{92717,0,1055,0,15,0,3697,0,2516,0},
{90197,0,2061,0,60,160,4866,0,2655,1}},

{{1000000,0,0,0,0,0,0,0,0,0},
{920207,1,13460,6,1451,1466,36695,6,26687,21},
{933774,0,9528,0,462,0,34239,0,21997,0},
{929707,0,11421,1,471,951,37161,0,20282,6},
{942703,0,7026,0,181,0,30959,0,19131,0},
{998807,0,0,0,0,1193,0,0,0,0},
{938492,0,8066,0,255,0,36145,0,17042,0},
{944711,0,2723,0,356,1071,31657,1,19481,0},
{949299,0,5682,0,381,0,27476,0,17162,0},
{934209,0,11514,0,272,660,40587,0,12757,1}},

{{10000000,0,0,0,0,0,0,0,0,0},
{9491909,1,69420,7,3829,5341,274919,7,154539,28},
{9561834,0,52424,0,4088,0,249074,0,132580,0},
{9538181,0,65849,1,4599,3570,278572,0,109221,7},
{9618057,0,43660,0,8380,0,215859,0,114044,0},
{9996471,0,0,0,0,3529,0,0,0,0},
{9600907,0,53390,0,9030,0,243916,0,92757,0},
{9660218,0,20538,0,7203,3997,199990,1,108053,0},
{9666134,0,41076,0,15568,0,183288,0,93934,0},
{9594062,0,71365,0,7483,2219,259728,0,65142,1}},

{{100000000,0,0,0,0,0,0,0,0,0},
{96727773,1,417722,8,60180,18656,1905346,8,870270,36},
{97183454,0,365524,0,102076,0,1628882,0,720064,0},
{97126097,0,443468,1,92100,11516,1765044,0,561766,8},
{97570603,0,350312,0,153721,0,1354532,0,570832,0},
{99990575,0,0,0,0,9425,0,0,0,0},
{97548654,0,400655,0,136444,0,1460419,0,453828,0},
{97878586,0,253627,0,103832,12272,1241804,1,509878,0},
{97929955,0,346480,0,197436,0,1108366,0,417763,0},
{97622405,0,447454,0,93256,6160,1497504,0,333220,1}},

{{1000000000,0,0,0,0,0,0,0,0,0},
{979578102,1,3025242,9,939045,58029,11961897,9,4437621,45},
{982663764,0,2861164,0,1237482,0,9826356,0,3411234,0},
{982918871,0,3050403,1,974745,31869,10347712,0,2676390,9},
{985518393,0,2716767,0,1431757,0,7878618,0,2454465,0},
{999977349,0,0,0,0,22651,0,0,0,0},
{985857171,0,2737101,0,1135440,0,8275969,0,1994319,0},
{986865866,0,2468514,0,872481,32121,7594662,1,2166355,0},
{988296759,0,2465967,0,1451817,0,6168711,0,1616746,0},
{986706155,0,2547882,0,689718,14760,8430852,0,1610632,1}},

{{10000000000,0,0,0,0,0,0,0,0,0},
{9878382430,1,21873040,10,8732485,159430,70484777,10,20367762,55},
{9900526094,0,19875933,0,9375140,0,55772770,0,14450063,0},
{9904869365,0,18549872,1,6746485,77665,57999579,0,11757023,10},
{9921215165,0,17225847,0,8984341,0,42958482,0,9616165,0},
{9999950419,0,0,0,0,49581,0,0,0,0},
{9925270623,0,15470020,0,6592905,0,44579845,0,8086607,0},
{9925210327,0,17504924,0,5177200,74305,43064918,1,8968325,0},
{9939663569,0,13905250,0,7668415,0,32619365,0,6143401,0},
{9930928773,0,12496527,0,3684560,31620,45658394,0,7200125,1}},

{{100000000000,0,0,0,0,0,0,0,0,0},
{99326016765,1,136901413,11,56961531,392601,393138130,11,86589471,66},
{99474404786,0,114029719,0,52283957,0,300029554,0,59251984,0},
{99508935359,0,95437529,1,35198031,170951,309861453,0,50396665,11},
{99599615145,0,88964480,0,43316516,0,226544220,0,41559639,0},
{99999899712,0,0,0,0,100288,0,0,0,0},
{99629431515,0,72658872,0,29983250,0,231848266,0,36078097,0},
{99605068461,0,97084560,0,24155681,156101,225852154,1,47683042,0},
{99695226958,0,64420389,0,32267631,0,174572310,0,33512712,0},
{99660525302,0,52704410,0,15720617,62095,237397424,0,33590151,1}},

{{1000000000000,0,0,0,0,0,0,0,0,0},
{996499124003,1,722201372,12,289887214,882036,2099243511,12,388661761,78},
{997325950061,0,548127065,0,234585078,0,1585621052,0,305716744,0},
{997544339519,0,419808061,1,149913534,346710,1621936570,0,263655593,12},
{997934645314,0,388888545,0,172724905,0,1222418124,0,281323112,0},
{999999810115,0,0,0,0,189885,0,0,0,0},
{998128620262,0,292607074,0,114337410,0,1226533916,0,237901338,0},
{997878260436,0,446614093,0,94543912,303744,1191689622,1,388588192,0},
{998338308785,0,258797528,0,115887102,0,985390717,0,301615868,0},
{998299654938,0,194685645,0,57220132,113784,1249370002,0,198955498,1}},

{{10000000000000,0,0,0,0,0,0,0,0,0},
{9981948713433,1,3271729383,13,1229099287,1836159,11182203514,13,2366418106,91},
{9985836512869,0,2285533238,0,903400550,0,8637913830,0,2336639513,0},
{9987211394494,0,1619971288,1,559349921,657761,8723126763,0,1885499759,13},
{9988456300026,0,1508398229,0,629428255,0,6892012101,0,2513861389,0},
{9999999659867,0,0,0,0,340133,0,0,0,0},
{9989816998846,0,1047530068,0,417721980,0,6761320944,0,1956428162,0},
{9987751222276,0,1773930652,0,339754688,555373,6750044184,1,3384492826,0},
{9990122610763,0,962243490,0,459303364,0,5680583376,0,2775259007,0},
{9990887874782,0,644837349,0,218548824,197080,6864707499,0,1383834465,1}},

{{100000000000000,0,0,0,0,0,0,0,0,0},
{99902031287356,1,13114173697,14,4756606869,3586506,61491912211,14,18602433227,105},
{99919641710032,0,8606104340,0,3668907088,0,48528107058,0,19555171482,0},
{99929264352695,0,5647574611,1,2424698563,1180739,48266305206,0,14395888171,14},
{99931699651720,0,5483870016,0,3371107195,0,38898245701,0,20547125368,0},
{99999999418663,0,0,0,0,581337,0,0,0,0},
{99942017318716,0,3467777861,0,2569780759,0,37225384302,0,14719738362,0},
{99927873948748,0,6254904215,0,1614558232,964523,39307821385,1,24947802896,0},
{99939809553494,0,3566556644,0,4129671651,0,31435810812,0,21058407399,0},
{99949448192672,0,1963761996,0,1683101448,325780,37753002938,0,9151615165,1}},

{{1000000000000000,0,0,0,0,0,0,0,0,0},
{999441785434096,1,48104723380,15,24218431805,6638885,342906589613,15,142978182070,120},
{999530394990365,0,30615528854,0,27720348105,0,267931309640,0,143337823036,0},
{999601642329051,0,18366321393,1,21015375585,2023260,261504612384,0,97469338311,15},
{999593910499764,0,19811642068,0,38273670076,0,208454487722,0,139549700370,0},
{999999999045449,0,0,0,0,954551,0,0,0,0},
{999671553418406,0,11087644490,0,30658069785,0,193542768631,0,93158098688,0},
{999596377529707,0,19974463570,0,14620363805,1604205,217262336300,1,151763702412,0},
{999636863478955,0,13916789960,0,56183937930,0,161986434194,0,131049358961,0},
{999724777284070,0,5649374913,0,21235704485,517755,195567420696,0,52769698080,1}},

{{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996797304009863,1,167526488628,16,233925901576,11738656,1849155959180,16,952075901928,136},
{9997280671340441,0,107723197271,0,331483705352,0,1393872382200,0,886249374736,0},
{9997801672282131,0,57668744012,1,250479263736,3332376,1325951950092,0,564224427636,16},
{9997619051982521,0,74116160124,0,468171031201,0,1042289009976,0,796371816178,0},
{9999999998485887,0,0,0,0,1514113,0,0,0,0},
{9998179884076364,0,35679377951,0,355983047880,0,927930426481,0,500523071324,0},
{9997909326894869,0,58643574930,0,156560419056,2571616,1094162376972,1,781304162556,0},
{9997832483391271,0,57128708096,0,630784474456,0,789834040308,0,689769385869,0},
{9998560580374487,0,15803521564,0,234139390192,795680,925632437780,0,263843480296,1}},

{{100000000000000000,0,0,0,0,0,0,0,0,0},
{99981980972837834,1,574289772576,17,2661527233449,19952441,9348828582989,17,5434361620523,153},
{99984541917142935,0,387158434419,0,3589960401658,0,6781742947852,0,4699221073136,0},
{99988218706190613,0,180552032329,1,2569422345249,5304425,6202558665292,0,2828755462074,17},
{99986225932168174,0,287637011553,0,4590583290265,0,4970554559287,0,3925292970721,0},
{99999999997669469,0,0,0,0,2330531,0,0,0,0},
{99990104052509256,0,118324717262,0,3289671369520,0,4145913647648,0,2342037756314,0},
{99989902464958499,0,160145819015,0,1426962514565,3993521,5009166641964,1,3501256072435,0},
{99987242858821151,0,236438712690,0,5518031810925,0,3833552629569,0,3169118025665,0},
{99992750965596212,0,44175064060,0,2039166442570,1187824,4001253338345,0,1164438370988,1}
}};

long long DEG16[100][10] =
{{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996797304009863,1,167526488628,16,233925901576,11738656,1849155959180,16,952075901928,136},
{9997280671340441,0,107723197271,0,331483705352,0,1393872382200,0,886249374736,0},
{9997801672282131,0,57668744012,1,250479263736,3332376,1325951950092,0,564224427636,16},
{9997619051982521,0,74116160124,0,468171031201,0,1042289009976,0,796371816178,0},
{9999999998485887,0,0,0,0,1514113,0,0,0,0},
{9998179884076364,0,35679377951,0,355983047880,0,927930426481,0,500523071324,0},
{9997909326894869,0,58643574930,0,156560419056,2571616,1094162376972,1,781304162556,0},
{9997832483391271,0,57128708096,0,630784474456,0,789834040308,0,689769385869,0},
{9998560580374487,0,15803521564,0,234139390192,795680,925632437780,0,263843480296,1},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9994261945610933,1,892963347572,0,59454354254,2446200,4699681168004,0,85953073020,16},
{9998435783967383,0,23986901781,0,479845606496,0,631279381712,0,429104142628,0},
{9996583865270339,0,1028674347432,1,531029478832,458376,1493582512064,136,362847931124,1696},
{9998396352410331,0,30163814464,0,211174140057,0,762828092068,0,599481543080,0},
{9999999999634207,0,0,0,0,365793,0,0,0,0},
{9997950366458293,0,49090268244,0,796984668480,0,628495112015,0,575063492968,0},
{9995801501839084,0,1608162692296,0,1124163919000,152,716002643700,1,750168905751,16},
{9998847323516331,0,9270006488,0,315533727736,0,605214503092,0,222658246353,0},
{9998852192413575,0,210297156632,0,73528852376,146116,572826001676,136,291155429472,17},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9998695148143421,0,16743673425,0,151142490056,657120,735823586056,0,401141449922,0},
{9994782649202603,0,759465152960,0,31790429305,0,4373458159452,0,52637055680,0},
{9998214730940383,0,239769279280,0,41768228600,58096,1483463428913,0,20268064728,0},
{9998587445266527,0,18281639152,0,606793867696,0,432142761172,0,355336465453,0},
{9999999999936448,0,0,0,0,63552,0,0,0,0},
{9997320155691684,0,699272406113,0,747039349296,0,1031550780304,0,201981772603,0},
{9999110868929762,0,3118167956,0,175504951457,153456,618583618907,0,91924178462,0},
{9998753924702511,0,14399662504,0,270034311040,0,524925949893,0,436715374052,0},
{9998269089265517,0,6779542176,0,0,101360,1675482339946,0,48648751001,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996400686404393,0,86812248974,1,27281734512,64208,3425054591448,0,60164956464,0},
{9998012127541779,0,44731235124,0,938956789680,0,543556341401,0,460628092016,0},
{9994855594034827,0,772333727412,0,77197848312,677040,4264811786712,0,30061925696,1},
{9996624260093327,0,1139208316649,0,1140647606080,0,566963417720,0,528920566224,0},
{9999999999687679,0,0,0,0,312321,0,0,0,0},
{9999034748857889,0,5902436528,0,399012541216,0,378031962810,0,182304201557,0},
{9996548230434575,16,1091974861661,0,270296,1681680,1240758881048,0,1119033870724,0},
{9999042457830389,0,267817063526,0,53660186192,0,433103149824,0,202961770069,0},
{9997696929574774,0,536570553152,0,663549847201,118356,853186251013,16,249763655368,120},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9997626800240683,0,795625374320,0,150976183601,0,1040591911552,0,386006289844,0},
{9999032419091851,0,8019522192,0,193510080416,0,472064344100,0,293986961441,0},
{9997932068270957,0,112812677729,0,136,1920,1735974771516,0,219144277742,0},
{9995304729745629,0,680443465164,0,13801100080,0,3969927432399,0,31098256728,0},
{9999999999925248,0,0,0,0,74752,0,0,0,0},
{9998551148539717,0,247500813852,0,17477888418,0,1169406519668,0,14466238345,0},
{9996047663535267,0,23455289960,0,10896,262200,1763430874141,0,2165450027536,0},
{9998664952974977,0,15525277114,0,717332637840,0,317915662725,0,284273447344,0},
{9998883270276594,0,22007942090,0,272,310368,573807928603,0,520913542073,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996993118306365,0,1219524081310,0,943036067040,17,306885365948,0,537436179320,0},
{9997747431959048,0,444357307304,0,979558275712,0,727470434338,0,101182023598,0},
{9997779993539211,0,18240155212,240,7695856,10881,1881145797320,0,320612801280,0},
{9999321494757934,0,1659556056,0,221659860240,0,381334605556,0,73851220214,0},
{9999999999711712,0,0,0,0,288288,0,0,0,0},
{9998993459921822,0,6403564386,0,324590106516,0,370818492472,0,304727914804,0},
{9999365393342039,0,183064441640,0,20425768456,28057,312565128588,16,118551291204,0},
{9998638973104936,0,4026780884,0,0,0,1304110263956,0,52889850224,0},
{9998236991224361,0,75621809272,0,2732850120,11576,1502110234007,0,182543870664,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999454858014507,0,27922900,0,784944,7280,402718196057,0,142395074312,0},
{9996614947772643,0,54113931885,0,14007313320,0,3284419242176,0,32511739976,0},
{9999238563829421,0,3764065024,0,119950967152,142096,474735871800,0,162985124507,0},
{9998058991607297,0,41013307942,0,1029842583120,0,515868990872,0,354283510769,0},
{9999999999985632,0,0,0,0,14368,0,0,0,0},
{9995425776194943,0,620224710264,0,38458603064,0,3898961056528,0,16579435201,0},
{9997195730508435,0,1324666155208,0,321116235440,0,791909638964,0,366577461953,0},
{9997326543904103,0,741453102876,0,1108586178960,0,473428460941,0,349988353120,0},
{9999103929768136,0,98717689312,0,25721055480,12320,760580339456,0,11051135296,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999183735111719,0,31067123656,0,410213440,59484,337423647688,1,447363831412,12600},
{9999143031659185,0,4264712632,0,472746683137,0,234921228604,0,145035716442,0},
{9998250631444404,0,5468063920,0,572978003728,3636,1099507624048,0,71414860264,0},
{9996776579809739,0,1057313697800,0,41360,0,1100535590205,0,1065570860896,0},
{9999999999990559,0,0,0,0,9441,0,0,0,0},
{9999110713033987,0,358690003308,0,36686524000,0,362403627892,0,131506810813,0},
{9996441651717089,0,311268628934,0,66994543776,222784,3172771533448,0,7313353969,0},
{9998106258624880,0,334550628040,0,882984822720,0,544530291408,0,131675632952,0},
{9998205629406735,0,13769395496,0,3600,54080,1728727289848,136,51873850105,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999494353745955,0,392597812,0,100618321440,21840,382799109796,0,21836203157,0},
{9998231299966433,0,584674065544,0,128995776256,0,703678608753,0,351351583014,0},
{9997209325449237,0,905048113016,0,9798896,1920,1737407791650,0,148208845281,0},
{9999264845017515,0,3509085236,0,233164540336,0,293398926733,0,205082430180,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9998295781781223,0,65069822100,0,16,0,1441043887061,0,198104509600,0},
{9998638138663450,0,1058746654,0,0,17880,1333771235720,0,27031336296,0},
{9995855161575143,0,629793852980,0,4597410800,0,3492802532316,0,17644628761,0},
{9999314652879393,0,111747809296,0,3315443977,240,564729337580,0,5554529514,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9997699875641553,0,391155125976,0,845286842672,47280,819547719108,0,244134623170,241},
{9998847325982679,0,248341322176,0,6035466768,0,888800259288,0,9496969089,0},
{9996475750146699,0,22254844112,0,8508820321,14740,3476546429752,0,16939744376,0},
{9996251460315483,0,20209090128,0,1920,0,1662977385836,0,2065353206633,0},
{9999999999989360,0,0,0,0,10640,0,0,0,0},
{9998704919873536,0,13860111124,0,792049811280,0,268883852940,0,220286351120,0},
{9998511768194779,0,12812566740,0,36063731376,0,1411526925000,0,27828582105,0},
{9999278548602061,0,10425677336,0,17,0,378395419178,0,332630301408,0},
{9995568083803435,0,619286171824,0,87293735240,152880,3713928595932,0,11407540689,0}};

long long DEG15[1000][10] =
{{1000000000000000,0,0,0,0,0,0,0,0,0},
{999441785434096,1,48104723380,15,24218431805,6638885,342906589613,15,142978182070,120},
{999530394990365,0,30615528854,0,27720348105,0,267931309640,0,143337823036,0},
{999601642329051,0,18366321393,1,21015375585,2023260,261504612384,0,97469338311,15},
{999593910499764,0,19811642068,0,38273670076,0,208454487722,0,139549700370,0},
{999999999045449,0,0,0,0,954551,0,0,0,0},
{999671553418406,0,11087644490,0,30658069785,0,193542768631,0,93158098688,0},
{999596377529707,0,19974463570,0,14620363805,1604205,217262336300,1,151763702412,0},
{999636863478955,0,13916789960,0,56183937930,0,161986434194,0,131049358961,0},
{999724777284070,0,5649374913,0,21235704485,517755,195567420696,0,52769698080,1},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999168901575061,1,147996088340,0,7318548660,1531635,648495467273,0,27286789015,15},
{999722656229965,0,6907309210,0,45644639265,0,138570753455,0,86221068105,0},
{999315993277160,0,238760478290,1,32572132755,309428,330919726930,120,81754073936,1380},
{999682389518315,0,11002777976,0,20717730571,0,158929986683,0,126959986455,0},
{999999999753954,0,0,0,0,246046,0,0,0,0},
{999662497948227,0,11147593903,0,80263703520,0,127795276816,0,118295477534,0},
{999252130781474,0,296674648158,0,137619023220,135,156253029997,1,157322517000,15},
{999780405256444,0,3233910810,0,32021606100,0,136661365059,0,47677861587,0},
{999753628360293,0,22405194228,0,20438063640,104525,135656700008,120,67871577170,16},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999727411154567,0,6364922911,0,15654953280,438375,161887883932,0,88680646935,0},
{999238231448049,0,119287000440,0,4606737466,0,620110627735,0,17764186310,0},
{999630158268677,0,38288094292,0,10072167275,42435,318096155106,0,3385272215,0},
{999756282234273,0,4776600135,0,65217877740,0,96750138740,0,76973149112,0},
{999999999954715,0,0,0,0,45285,0,0,0,0},
{999486876964153,0,178310326111,0,51637050675,0,233843512466,0,49332146595,0},
{999816944621401,0,1282660150,0,19031037496,106940,141467007195,0,21274566818,0},
{999751645624105,0,5617289165,0,29260689315,0,113321122657,0,100155274758,0},
{999670183698169,0,2371375081,0,0,73710,319874562228,0,7570290812,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999533571030833,0,27249660428,1,9639484885,47103,410032778030,0,19506998720,0},
{999674935694062,0,10025850345,0,107573466000,0,105152224951,0,102312764642,0},
{999225127806973,0,138968835631,0,11396858560,453180,614209326200,0,10296719455,1},
{999377646693056,0,229874328976,0,154226351125,0,120324511525,0,117928115318,0},
{999999999785244,0,0,0,0,214756,0,0,0,0},
{999820260273170,0,1913085338,0,45753047355,0,90258571441,0,41815022696,0},
{999498760256997,15,167376326671,0,194160,780780,211740346914,0,122122094463,0},
{999814980577657,0,21987013416,0,16083318645,0,95862944180,0,51086146102,0},
{999553436310022,0,135351059605,0,47197640701,85170,206403391629,15,57611512753,105},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999542414319213,0,157823392890,0,11198311636,0,210862778486,0,77701197775,0},
{999793769285561,0,3257360905,0,22248940365,0,110256113028,0,70468300141,0},
{999667793502015,0,20475702549,0,120,1575,269276248591,0,42454545150,0},
{999297315309882,0,103667469395,0,2338051200,0,585549788053,0,11129381470,0},
{999999999946525,0,0,0,0,53475,0,0,0,0},
{999685729728739,0,39865026440,0,4702971975,0,267285109465,0,2417163381,0},
{999435656036155,0,4948941040,0,8415,173460,250614142727,0,308780698203,0},
{999774584326408,0,3823725390,0,87298020810,0,68162976262,0,66130951130,0},
{999727779823289,0,8166264255,0,240,213150,136802051205,0,127251647861,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999431059469948,0,238857698188,0,137506917240,16,72380742580,0,120195172028,0},
{999607792836898,0,123917073133,0,77356805541,0,164056188733,0,26877095695,0},
{999678209579467,0,6379527995,210,535200,8401,247362729894,0,68047618833,0},
{999860373052137,0,679741673,0,27140846460,0,93727739865,0,18078619865,0},
{999999999800710,0,0,0,0,199290,0,0,0,0},
{999802265883929,0,2665351253,0,39424029645,0,80541662695,0,75103072478,0},
{999866066667826,0,18496741720,0,6360390870,21471,77830139790,15,31246038308,0},
{999748934034860,0,1464154150,0,0,0,243804184260,0,5797626730,0},
{999639193889369,0,22362145275,0,601260660,8975,285293670100,0,52549025621,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999873893445591,0,16306255,0,518940,5460,105350111786,0,20739611968,0},
{999561448159372,0,17817052306,0,5350430085,0,404350834542,0,11033523695,0},
{999827688290152,0,1595144895,0,14633711835,101130,115161220472,0,40921531516,0},
{999679811226503,0,9515217105,0,133686382830,0,92556458175,0,84430715387,0},
{999999999989297,0,0,0,0,10703,0,0,0,0},
{999290289872521,0,110495233250,0,6572452608,0,586601927210,0,6040514411,0},
{999508099897096,0,166076869380,0,73663394805,0,168246703133,0,83913135586,0},
{999491075632295,0,163870275600,0,165688291860,0,96287238925,0,83078561320,0},
{999791660400332,0,16941942165,0,7023326415,9555,182681580503,0,1692741030,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999829923599068,0,10272761535,0,158143440,42645,62539518096,1,97105925660,9555},
{999845242598914,0,1257580005,0,61137055981,0,56888868475,0,35473896625,0},
{999717017441188,0,2116298104,0,77055731025,2850,182619418610,0,21191108223,0},
{999516931135603,0,166968563415,0,31815,0,188978429932,0,127121839235,0},
{999999999992754,0,0,0,0,7246,0,0,0,0},
{999851761828441,0,28583648410,0,11832154425,0,72038433603,0,35783935121,0},
{999395918076147,0,53080859606,0,11150940885,152895,537200414673,0,2649555794,0},
{999664413506742,0,93077423460,0,72829326570,0,136437574735,0,33242168493,0},
{999750705162429,0,2874122840,0,2940,38355,230196361740,120,16224311576,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999884889051674,0,192023780,0,13186380480,16380,95900244577,0,5832283109,0},
{999634002520411,0,127855897743,0,11691383110,0,152663522241,0,73786676495,0},
{999498484014308,0,144686071490,0,5944590,1575,312700966731,0,44123001306,0},
{999844315693641,0,1522503153,0,29990350390,0,71243522131,0,52927930685,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999709002729898,0,13220916660,0,15,0,240455702311,0,37320651116,0},
{999763636311642,0,443515445,0,0,13860,231910643988,0,4009515065,0},
{999354248509011,0,96927307680,0,908048535,0,541227822910,0,6688311864,0},
{999836867879168,0,24438336981,0,1312311786,210,136728680825,0,652791030,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999568564204856,0,106633003238,0,79997968290,34335,185119795926,0,59684993144,211},
{999738585826811,0,41446748960,0,1809563730,0,216488037938,0,1669822561,0},
{999522673945249,0,7800283640,0,3298555261,11445,460082053490,0,6145150915,0},
{999461276113724,0,4209425340,0,1575,0,233870380390,0,300644078971,0},
{999999999991810,0,0,0,0,8190,0,0,0,0},
{999781763731807,0,3422092405,0,108643209675,0,51625015818,0,54545950295,0},
{999675590367064,0,4433956935,0,10476077720,0,299846011530,0,9653586751,0},
{999811559668331,0,4137289435,0,16,0,95457824370,0,88845217848,0},
{999291913212579,0,122540553230,0,15162716340,109200,566285793950,0,4097614701,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999781892154197,0,6147781185,0,264360635,0,158846775765,0,52848928218,0},
{999537514804522,0,177911940615,0,143774532840,0,51570581808,0,89228140215,0},
{999765568439894,0,155325565055,0,274614810,0,43689016395,0,35142363846,0},
{999680739282350,0,80018118945,0,108050747805,0,117956578125,0,13235272775,0},
{999999999950635,0,0,0,0,49365,0,0,0,0},
{999716549119602,0,2441466538,0,479130,0,238785994455,0,42222940275,0},
{999693697374660,0,20483324830,0,169132005,470,257339600895,0,28310567140,0},
{999890678879205,0,364006145,0,36161405280,0,57779535390,0,15016173980,0},
{999839474405409,0,18339485635,0,85290,0,110480402040,0,31705621626,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999590548061145,1,119566740785,0,16920,225225,143269620780,0,146615335144,0},
{999835461648786,0,1186764661,0,49811541780,0,59438771413,0,54101273360,0},
{999776206593539,0,1034880,1,19320,21945,154041054115,0,69751276200,0},
{999897461509054,0,21369435250,0,4785255931,0,53979982550,0,22403817215,0},
{999999999995574,0,0,0,0,4426,0,0,0,0},
{999810647030789,0,904092191,0,0,0,182134577302,0,6314299718,0},
{999706048898861,0,72606864650,0,61387806495,18740,118845743520,1,41110667733,0},
{999736428404695,0,15012432645,0,561470910,0,215833398918,0,32164292832,0},
{999528756960364,0,216694300305,0,105180480420,0,107112127200,0,42256131710,1},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999685652293367,0,32105791,0,17798235,0,208561286417,0,105736516190,0},
{999911747353493,0,5247860,0,162646,0,73922291399,0,14324944602,0},
{999667871602161,0,122870126940,0,20927246460,0,151554776021,0,36776248418,0},
{999584007260134,0,11051788205,0,2709546840,0,396318440220,0,5912964601,0},
{999999999999335,0,0,0,0,665,0,0,0,0},
{999874945087663,0,774477916,0,19720857975,0,73639089091,0,30920487355,0},
{999309682060223,0,201224729165,0,145385340706,5670,341269505001,0,2438359235,0},
{999683298379794,0,9010286040,0,153594395955,0,87914709811,0,66182228400,0},
{999716387686055,0,19297484535,0,0,210,236825431436,0,27489397764,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999827953637497,0,80368023778,1,1926197028,10220,87816824390,0,1935307086,0},
{999354560866166,0,91067519085,0,3073853840,0,547848068886,0,3449692023,0},
{999868868921070,0,42330695533,0,4595564185,8855,35331434330,0,48873376026,1},
{999590285187333,0,177813645911,0,47428886505,0,113363507885,0,71108772366,0},
{999999999990339,0,0,0,0,9661,0,0,0,0},
{999588710689603,0,106941889735,0,169080584400,0,80594016570,0,54672819692,0},
{999637247387485,0,20641547804,0,55517889015,0,235508743676,0,51084432020,0},
{999835155158108,0,17601576090,0,3099546450,0,142851449990,0,1292269362,0},
{999778963642185,0,85396424465,0,11985205066,665,55405173645,0,68249553974,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999510027806887,0,951352220,0,1,46410,220869870857,0,268150923625,0},
{999861468195224,0,6533272740,0,95255160,0,50539847940,0,81363428936,0},
{999898227587165,0,1751106751,0,16172636565,32775,26560348460,0,57288288284,0},
{999858013502706,0,958738395,0,76113947910,0,35849678769,0,29064132220,0},
{999999999989570,0,0,0,0,10430,0,0,0,0},
{999759476150289,0,832985605,0,63614864040,0,165892453850,0,10183546216,0},
{999850797531104,0,2302451415,0,15,49140,81606584416,0,65293383910,0},
{999541847799099,0,161740074825,0,4725,0,170923006606,0,125489114745,0},
{999725261265926,0,83528001510,0,0,1365,180519300853,0,10691430346,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999778232192542,0,1354402030,0,3797495,1711,218066284650,0,2343321572,0},
{999867376472895,0,40954766000,0,8113609140,0,60422962460,0,23132189505,0},
{999594606807822,0,177337610719,0,111087737895,1,31480395095,0,85487448468,0},
{999472607338845,0,48684616755,0,5962051530,0,471092374425,0,1653618445,0},
{999999999999775,0,0,0,0,225,0,0,0,0},
{999730631649615,0,59740356936,0,103716112500,0,89028815216,0,16883065733,0},
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{999759999448811,0,164716947213,0,330331,0,73433110805,0,1850162840,0},
{999858174116995,0,583444800,0,999893895,0,129073215590,0,11169328720,0},
{999999999999879,0,0,0,0,121,0,0,0,0},
{999948239141457,0,13335688,0,21528356230,0,12403946970,0,17815219655,0},
{999889866193345,0,3873828273,0,42525,1380,91561753587,0,14698180890,0},
{999933898446178,0,44440592208,0,895182060,0,7221510424,0,13544269130,0},
{999957509797400,0,100690920,0,4153809660,1680,14775128220,0,23460572120,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999933821198725,0,21333886340,0,172202940,0,42603412525,0,2069299470,0},
{999867182752522,0,6284363730,0,401531130,0,124394068880,0,1737283738,0},
{999896148475578,0,14727525,0,3706316315,0,97028723655,0,3101756927,0},
{999714888169385,0,193016944050,0,20127547440,0,43013443825,0,28953895300,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999867652210235,0,3342775815,0,0,0,125957990555,0,3047023395,0},
{999777334653269,0,568533840,0,147623035560,0,27216709715,0,47257067616,0},
{999716423775560,0,4323338565,0,369134220,0,171864423870,0,107019327785,0},
{999650332024305,0,21884118720,0,438964320,0,317189961695,0,10154930960,0},
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{999964368276204,0,1027640685,0,15,0,31458564375,0,3145518721,0},
{999836570710132,0,269919783,0,0,0,144527067780,0,18632302305,0},
{999948085178835,0,32431983450,0,125411730,0,17543589960,0,1813836025,0},
{999747892396414,0,902256110,0,1809457650,0,248591675491,0,804214335,0},
{999999999999670,0,0,0,0,330,0,0,0,0},
{999776154443869,0,42644725341,0,125121511515,0,31650159942,0,24429159333,0},
{999901631614572,0,52751874175,0,15,6306435,43164453685,0,2445751118,0},
{999676632640056,0,12535511625,0,66058402410,0,243187053105,0,1586392804,0},
{999800814136613,0,25717993051,0,89678604016,1590,53599243050,0,30190021680,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999869695524904,0,5719841855,0,16516980480,0,39008349376,0,69059303385,0},
{999840004833375,0,4802076105,0,22536204600,0,102989181880,0,29667704040,0},
{999776887439993,0,81951892740,0,0,0,64427568011,0,76733099256,0},
{999827984495279,0,158723787213,0,0,0,9345788628,0,3945928880,0},
{999999999998425,0,0,0,0,1575,0,0,0,0},
{999816005815402,0,4227203610,0,582982400,0,166301422733,0,12882575855,0},
{999983994996454,0,4982306446,0,0,0,8921293805,0,2101403295,0},
{999945601444296,0,5272179293,0,593422830,0,48064096301,0,468857280,0},
{999893131124891,0,36810542630,0,0,0,9984139714,0,60074192765,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999895504342334,0,41414378175,0,345,0,59748119800,0,3333159346,0},
{999746982994439,0,13255187030,0,180570570180,0,57495007176,0,1696241175,0},
{999737871876458,0,123462587445,0,41556039736,0,87449470655,0,9660025706,0},
{999846121710945,0,116831530845,0,2842925085,0,11356755560,0,22847077565,0},
{999999999999880,0,0,0,0,120,0,0,0,0},
{999626159871294,0,101603447400,0,3515380260,0,94554126046,0,174167175000,0},
{999603914400874,0,195513360,0,151561410,330,395499944811,0,238579215,0},
{999891896419163,0,17701730865,0,1303908606,0,78609642685,0,10488298681,0},
{999910824191054,0,2920332481,0,105,120,31029418780,0,55226057460,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999882816592946,0,442056828,0,59824159395,5460,32844996776,0,24072188595,0},
{999871261536261,0,3219093633,0,50720670,0,101610259680,0,23858389756,0},
{999799047281164,0,48065925066,0,0,0,113797703210,0,39089090560,0},
{999899506705929,0,55545455,0,46410,0,92781672461,0,7656029745,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999588644711376,0,24164868,0,0,0,204097458165,0,207233665591,0},
{999868368377874,0,680,0,0,0,92142003551,0,39489617895,0},
{999803277350820,0,48949895,0,11505585,0,191073841265,0,5588352435,0},
{999865099543616,0,51091580750,0,0,0,82627372549,0,1181503085,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999724996719264,0,62693030766,0,379321800,15,180935747428,0,30995180727,0},
{999951005033651,0,630772221,0,0,0,20743967753,0,27620226375,0},
{999892408909550,0,9524890830,0,176486730,15,96649888715,0,1239824160,0},
{999940840278917,0,209055,0,120,0,43287931583,0,15871580325,0},
{999999999999790,0,0,0,0,210,0,0,0,0},
{999784019000295,0,26570446910,0,1397775,0,168112680220,0,21296474800,0},
{999877017160247,0,976584170,0,90300,0,121880781978,0,125383305,0},
{999944064901140,0,248509460,0,8134521060,0,14953205780,0,32598862560,0},
{999713396107744,0,202198875845,0,989863875,0,83401311436,0,13841100,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999802952613657,0,34605353520,0,54872197380,0,98482142863,0,9087692580,0},
{999951829555590,0,3352202805,0,2078505,0,27491966455,0,17324196645,0},
{999873432731169,0,4636545760,0,0,0,118064776761,0,3865946310,0},
{999923769801844,0,106226720,0,56731193610,0,11874472455,0,7518305371,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999654647945894,0,8329153875,0,283558275,0,189344605461,0,147394736495,0},
{999878609552345,0,29948515175,0,10908654120,0,34568664390,0,45964613970,0},
{999584891418206,0,3951997405,0,503993490,0,407652905706,0,2999685193,0},
{999866850796561,0,10586385,0,105387882810,0,27584205993,0,166528251,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999918909453855,0,2078505,0,660870,0,21482147145,0,59605659625,0},
{999886170638616,0,13070391421,0,15,0,88354390765,0,12404579183,0},
{999840333868546,0,853892750,0,3322158840,0,153692829976,0,1797249888,0},
{999975334373963,0,3667800,0,1161825,0,15218309339,0,9442487073,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999841350274666,0,62412470,0,51840514635,0,104799024525,0,1947773704,0},
{999780760077041,0,88751854780,0,17624900685,210,56130474224,0,56732693060,0},
{999624786370974,0,4064025,0,99226822905,0,213586012636,0,62396729460,0},
{999754601845465,0,90506860080,0,0,1575,154401822350,0,489470530,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999899116549866,0,753576090,0,210,0,84003079653,0,16126794181,0},
{999955972896366,0,216592740,0,0,0,27018600099,0,16791910795,0},
{999762661077714,0,2510654055,0,210,0,199997358220,0,34830909801,0},
{999950934586950,0,4182734300,0,2655252600,0,41990152673,0,237273477,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999800020868190,0,2268722705,0,15,0,197300361410,0,410047680,0},
{999712480037850,0,288596805,0,3060,0,127998454890,0,159232907395,0},
{999671784313915,0,117787536330,0,30,0,96145580320,0,114282569405,0},
{999626426395995,0,81971941545,0,53916594335,420,237360006470,0,325061235,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999477345780938,0,76701762806,0,17036141956,2730,427990181250,0,926130320,0},
{999959576724661,0,3023745530,0,32852820,0,37205065069,0,161611920,0},
{999802942521000,0,107880140139,0,38610000,0,64909789560,0,24228939301,0},
{999893875027351,0,33085739505,0,0,0,68420802814,0,4618430330,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999876085874341,0,88710315,0,65690637870,0,40793581328,0,17341196146,0},
{999788983032217,0,952638120,0,680,0,210024186478,0,40142505,0},
{999955328019838,0,8048774370,0,0,0,35727598272,0,895607520,0},
{999882756957967,0,6642153080,0,0,150150,75133800147,0,35466938656,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999940702747229,0,3762034824,0,0,90300,55407635357,0,127492290,0},
{999866216241136,0,11201434885,0,64324275,0,122161859681,0,356140023,0},
{999806769627825,0,9805097115,0,0,0,181508800295,0,1916474765,0},
{999867918333114,0,105,0,0,0,96763358971,0,35318307810,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999832851217524,0,142916910,0,187297110,0,157878358315,0,8940210141,0},
{999863016628310,0,40849757160,0,0,455,80654242215,0,15479371860,0},
{999752251310054,0,58767959970,0,88798725015,0,79168387501,0,21013617460,0},
{999733214726325,0,1887991980,0,7387380,0,171494917650,0,93394976665,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999826059519194,0,246472800,0,210,8190,173693906930,0,92675,1},
{999907952480799,0,50245231855,0,1358611800,0,35218041935,0,5225633611,0},
{999910486448455,0,8616474603,0,244679191,1575,80314900871,0,337495305,0},
{999870846397748,0,26257534656,0,60442200,0,101387635080,0,1447990316,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999879661108331,0,31490396210,0,0,0,66703695774,0,22144799685,0},
{999925437621978,0,33032448555,0,1634712170,1575,39895194370,0,21352,0},
{999802383252297,0,84422001300,0,65900586571,0,7397097024,0,39897062808,0},
{999845604856499,0,88844571615,0,127698480,0,17582359095,0,47840514311,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999899976553309,0,75469165905,0,0,0,18255200435,0,6299080351,0},
{999819725333969,0,31232880,0,0,0,166845617570,0,13397815581,0},
{999508177775170,0,10950024540,0,33229770,0,455835387935,0,25003582585,0},
{999678562669784,0,28912780865,0,2927882686,0,289458804465,0,137862200,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999915913737932,0,43048588695,0,1365,0,20948113750,0,20089558258,0},
{999906552635519,0,81044883591,0,413775180,0,4251884975,0,7736820735,0},
{999916984354220,0,206565900,0,0,0,72569521265,0,10239558615,0},
{999895801469784,0,300660481,0,37478581140,0,57427914990,0,8991373605,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999899290947051,0,58006253165,0,1786,0,18989148327,0,23713649671,0},
{999758881452155,0,21766402905,0,10166987730,0,198439711820,0,10745445390,0},
{999728317606699,0,3956486725,0,48932924040,0,218774894010,0,18088526,0},
{999827796114290,0,47985,0,3599115,0,122181314375,0,50018924235,0},
{999999999999999,0,0,0,0,1,0,0,0,0},
{999814665254434,0,13751785101,0,141683086545,0,25290859755,0,4609014165,0},
{999692835365766,0,179186579355,0,1,5460,118619054064,0,9358995354,0},
{999837150632979,0,71172575566,0,11744868135,0,75345972135,0,4585951185,0},
{999871355868819,0,35017902480,0,210,1575,83384814360,0,10241412556,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999947103208505,0,16390426965,0,2792549760,0,26157811219,0,7556003551,0},
{999909868032505,0,22769305630,0,8411157756,0,58774759589,0,176744520,0},
{999751606671526,0,106058544075,0,23929564935,0,117064466865,0,1340752599,0},
{999921488865481,0,3383751820,0,300570270,0,70538744799,0,4288067630,0},
{999999999998425,0,0,0,0,1575,0,0,0,0},
{999812377219979,0,20341150651,0,613407795,0,163310745115,0,3357476460,0},
{999809949119546,0,3330210,0,244680765,0,189418772825,0,384096654,0},
{999789900934043,0,590851425,0,0,0,208108909187,0,1399305345,0},
{999968941833980,0,10001265615,0,4911031125,0,16015586935,0,130282345,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999908834780475,0,5717075,0,0,0,90813789320,0,345713130,0},
{999812380409112,0,51765744450,0,68712949995,0,59947770670,0,7193125773,0},
{999791199523402,0,45651616740,0,646277835,1,147069317525,0,15433264497,0},
{999715865374476,0,310697625,0,275760,0,253335502521,0,30488149618,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999829412187465,0,28609761470,0,1319055675,0,135233062805,0,5425932585,0},
{999936773369614,0,16093387290,0,2583945,4201,29313003380,0,17817651570,0},
{999976078149565,0,131492340,0,645705060,0,8151464295,0,14993188740,0},
{999838141885872,0,4796279113,0,5903188215,0,81695385540,0,69463261260,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999836761210496,0,473142090,0,2479216740,0,160205479334,0,80951340,0},
{999936495429510,0,50252925480,0,814043700,0,6267525285,0,6170076025,0},
{999760460148807,0,18872755546,0,15918630,0,153653176500,0,66998000517,0},
{999889484839499,0,1159526551,0,680,0,98481414965,0,10874218305,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999942716808689,0,17358913515,0,2563781220,0,34011469955,0,3349026621,0},
{999877507803896,0,95595318,0,52240788600,0,50511700941,0,19644111245,0},
{999847528702540,0,6575251,0,1440105,0,112605831778,0,39857450326,0},
{999822256708149,0,29902040075,0,0,0,147746776380,0,94475396,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999901551291899,0,104556900,0,35505,0,90948479275,0,7395636421,0},
{999970857454906,0,3025171,0,9390381000,0,19232205623,0,516933300,0},
{999875956308399,0,52615733865,0,14583605611,0,31675835175,0,25168516950,0},
{999968392525696,0,99660890,0,15,0,28476431549,0,3031381850,0},
{999999999999999,0,0,0,0,1,0,0,0,0},
{999931789936845,0,170850,0,1785,0,34124637892,0,34085252628,0},
{999813919424038,0,66908205,0,2045949360,0,183686150887,0,281567510,0},
{999715897267242,0,152641940340,0,43723680,0,128743100940,0,2673967798,0},
{999729635056047,0,2201063250,0,164847560790,0,94420494148,0,8895825765,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999862799942886,0,3077131718,0,1786,0,93790632975,0,40332290635,0},
{999850004832794,0,131855130,0,1106837550,0,134251026431,0,14505448095,0},
{999591719988030,0,1489732726,0,1318852080,0,400854552839,0,4616874325,0},
{999882128231587,0,42674914485,0,10726252320,0,38215920993,0,26254680615,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999950291528774,0,21327254265,0,184264080,0,23120318050,0,5076634831,0},
{999570454635710,0,896539567,0,0,0,225054318913,0,203594505810,0},
{999678643308303,0,23669811480,0,50908747890,0,244157939572,0,2620192755,0},
{999847363964251,0,3280400075,0,0,0,148809980275,0,545655399,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999927973465266,0,35053320,0,0,0,62787258960,0,9204222454,0},
{999666349685834,0,2189644566,0,186696510,0,330557025205,0,716947885,0},
{999873993431116,0,1236705,0,97181760,0,125067765858,0,840384561,0},
{999894515322080,0,2130023100,0,43303260,0,57790551010,0,45520800550,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999743282172941,0,94595983375,0,76650,0,155360835873,0,6760931161,0},
{999718198948027,0,17761914935,0,10597036905,0,219140906198,0,34301193935,0},
{999911762595931,0,51069560115,0,4949490,0,29532230270,0,7630664194,0},
{999729016236669,0,63973940271,0,0,5005,72711517945,0,134298300110,0}};


long long small_coefficients[17*2 + 1][17 + 1];
long long coefficients[17*3 + 1][17*2 + 1][17 + 1];


long long factorials[20];

int mno(long long x){
	if(x < 10){
		return x;
	}

	long long y = 1;
	while(x > 0 && y > 0){
		y *= (x % 10);
		x /= 10;
	}
	return mno(y);
}

// so, basically, we start with some factor, and we fill in
// the remaining first D digits.
vector<long long> generate_counter(int D, vector<long long> factors){
	int original_size = factors.size();

	vector<long long> RES(10, 0);

	for(int l = 0; l < factors.size(); l++){
		if(factors[l] < 10){
			for(int i = 0; i < 10; i++){
				RES[i] += MAP[D][factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
		if(D == 16){
			vector<long long> vec;
			for(int i = 0; i < 10; i++){
				RES[i] += DEG16[factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
		if(D == 15){
			vector<long long> vec;
			for(int i = 0; i < 10; i++){
				RES[i] += DEG15[factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
	}

	if(factors.size() > 0){
		int amts[3];

		// if we can append any 5 whatsoever, and if the factor is not even.
		if(D >= 1){
			amts[0] = 0;
			amts[1] = 1;
			amts[2] = 0;
			long long v0 = 1;
			long long v1 = 5;
			long long v2 = 1;
			long long v, summand;
			while(true){
				// this is the crux of the algorithm.
				// first assume there is a five somewhere.
				// then adding any 2 will make things 0,
				// so we only have prime factors 3, 5, 7.
				// position 0 is 3, position 1 is 5, position 2 is 7.
				summand = factorials[D]/(factorials[amts[1]]*factorials[amts[2]]*factorials[D-amts[1]-amts[2]]) 
										* small_coefficients[amts[0]][D - amts[1] - amts[2]];
				v = v0 * v1 * v2;
				for(int l = 0; l < factors.size(); l++){
					RES[mno(v * factors[l])] += summand;
				}

				if(amts[0] == 2*(D - amts[1] - amts[2])){
					amts[0] = 0;
					v0 = 1;
				} else {
					amts[0]++;
					v0 *= 3;
					continue;
				}

				if(amts[1] + amts[2] == D){
					amts[1] = 1;
					v1 = 5;
				} else {
					amts[1]++;
					v1 *= 5;
					continue;
				}

				if(amts[2] == D - 1){
					amts[2] = 0;
					v2 = 1;
				} else {
					amts[2]++;
					v2 *= 7;
					continue;
				}

				break;
			}
		}

		amts[0] = 0;
		amts[1] = 0;
		amts[2] = 0;
		long long v0 = 1;
		long long v1 = 1;
		long long v2 = 1;
		long long v, summand;
		while(true){
			// again, this is the crux of the algorithm.
			// we assume there is NO five anywhere.
			// So we only have prime factors 2, 3, 7.
			// position 0 is 2, position 1 is 3, position 2 is 7.
			summand = coefficients[amts[0]][amts[1]][D - amts[2]];

			if(summand > 0){
				summand *= factorials[D] / (factorials[amts[2]] * factorials[D - amts[2]]);
				v = v0 * v1 * v2;
				for(int l = 0; l < factors.size(); l++){
					RES[mno(v * factors[l])] += summand;
				}

				amts[0]++;
				v0 *= 2;
				continue;
			} else {
				amts[0] = 0;
				v0 = 1;
			}

			if(amts[1] == 2*(D - amts[2])){
				amts[1] = 0;
				v1 = 1;
			} else {
				amts[1]++;
				v1 *= 3;
				continue;
			}

			if(amts[2] == D){
				amts[2] = 0;
				v2 = 1;
			} else {
				amts[2]++;
				v2 *= 7;
				continue;
			}

			break;
		}
	}

	// all the remaining cases will give us necessarily a 0.
	long long z = original_size;
	for(int i = 0; i < D; i++){
		z *= 10ll;
	}
	for(int i = 0; i < 10; i++){
		z -= RES[i];
	}
	RES[0] += z;

	return RES;
}

void process(){
	long long N;
	cin >> N;
	N++;

	long long x = 1;
	long long leading_digit = 1;
	long long power = 1;
	int degrees = 0;
	vector<long long> counter(10, 0);
	vector<long long> ans(10, 0);
	while(x <= N){
		// we include all of them exclusive of the upper range.
		for(int i = 0; i < 10; i++){
			ans[i] += counter[i];
		}

		if(degrees == 18) break;
		counter = generate_counter(degrees, {leading_digit});
		leading_digit++;
		x += power;
		if(leading_digit == 10){
			leading_digit = 1;
			power *= 10ll;
			degrees++;
		}
	}
	if(leading_digit == 1){
		leading_digit = 9;
		degrees--;
		power /= 10ll;
	}
	x -= power;

	// cout << N << endl;
	// cout << x << endl;

	if(N >= MAX){
		for(long long l = MAX; l < N; l++){
			ans[mno(l)]++;
		}

		for(int i = 0; i < 10; i++){
			cout << ans[i] << ' ';
		}
		cout << '\n';
		return;
	} else {
		power /= 10ll;
	}

	// cout << power << endl;

	// so now we have the following situation: 
	// MAX > N >= x
	// and we wish to calculate for all the numbers up to, but excluding, N.
	// currently, ans calculates for all the numbers up to, but excluding, x.


	vector<long long> digits;
	long long N_copy = N;
	while(N > 0){
		digits.push_back(N%10ll);
		N /= 10ll;
	}
	N = N_copy;

	long long factor = digits.back();
	for(int i = digits.size() - 2; i >= 0; i--){
		// cout << x << endl;
		vector<long long> input;
		if(x <= N){
			// we increase x.
			int upper_range = digits[i];
			if(i != 0 && digits[i - 1] >= 5){
				upper_range = digits[i] + 1;
			}

			for(long long d = 0; d < upper_range; d++){
				input.push_back(factor * d);
			}
			vector<long long> counter = generate_counter(i, input);

			for(int j = 0; j < 10; j++){
				ans[j] += counter[j];
			}

			x += power * upper_range;
		} else {
			// we decrease x.
			int lower_range = digits[i];
			if(i != 0 && digits[i - 1] >= 5){
				lower_range = digits[i] + 1;
			}

			for(long long d = 9; d >= lower_range; d--){
				input.push_back(factor * d);
			}
			vector<long long> counter = generate_counter(i, input);

			for(int j = 0; j < 10; j++){
				ans[j] -= counter[j];
			}

			x -= power * (10ll - lower_range);
			
		}

		factor *= digits[i];
		power /= 10ll;
	}

	for(int i = 0; i < 10; i++){
		cout << ans[i] << ' ';
	}
	cout << '\n';
}

void find_coefficients(){
	// firstly find the small coefficients.
	for(int i = 0; i < 17*2 + 1; i++){
		for(int k = 0; k < 17 + 1; k++){
			small_coefficients[i][k] = 0;

			if(i > 2*k){
				continue;
			}
			long long sum = 0;
			for(int s = max(0, i - k); 2*s <= i; s++){
				// so we have: s nines, i - 2*s threes, and k + s - i ones
				sum += factorials[k]/(factorials[s] * factorials[i - 2*s] * factorials[k + s - i]);
			}
			small_coefficients[i][k] = sum;
			// cout << "i = " << i << "  k = " << k << "  sum = " << sum << endl;
		}
	}
	// cout << "HERE" << endl;

	// and now the big coefficients.
	for(int i = 0; i < 17*3 + 1; i++){
		for(int j = 0; j < 17*2 + 1; j++){
			for(int k = 0; k < 17 + 1; k++){
				// here is how it looks like:
				// there is i factors of 2
				// there is j factors of 3
				// all of them are distributed over k fields.

				coefficients[i][j][k] = 0;
				if(i > 3*k || j > 2*k){
					continue;
				}
				// let a be the amount of number 6, and b the amount of fields in which I place values divisible by 2.
				for(int a = 0; a <= min(min(i, j), k); a++){
					for(int b = 0; b <= k - a; b++){
						if(i - a > 3*b || i - a - b < 0 || j - a > 2*(k - a - b)){
							continue;
						}
						long long val = factorials[k] / factorials[a];
						val /= factorials[b];
						val /= factorials[k - a - b];
						// now I place the values 2, 4, 8 on b fields.
						val *= small_coefficients[i - a - b][b];
						// and finally, I place the values 1, 3, 9 on k - a - b fields.
						val *= small_coefficients[j - a][k - a - b];

						coefficients[i][j][k] += val;
					}
				}
			}
		}
	}
}

// the normal main function

int main(){
	// std::chrono::steady_clock::time_point begin = std::chrono::steady_clock::now();
	cin.tie(NULL);
	ios_base::sync_with_stdio(0);

	factorials[0] = 1;
	for(long long i = 1; i < 20; i++){
		factorials[i] = i * factorials[i - 1];
	}
	find_coefficients();
	// cout << "DONE" << endl;

	int T;
	cin >> T;
	for(int v = 0; v < T; v++){
		process();
	}

	// std::chrono::steady_clock::time_point end = std::chrono::steady_clock::now();
	
	// std::cerr << "Time difference = " << std::chrono::duration_cast<std::chrono::microseconds>(end - begin).count() << "[µs]" << std::endl;
	// std::cerr << "Time difference = " << std::chrono::duration_cast<std::chrono::nanoseconds> (end - begin).count() << "[ns]" << std::endl;
}



// main function used to generate initial MAP values.
/*
int main(){
	cin.tie(NULL);
	ios_base::sync_with_stdio(0);

	factorials[0] = 1;
	for(long long i = 1; i < 20; i++){
		factorials[i] = i * factorials[i - 1];
	}
	find_coefficients();

	int d = 15;
	for(long long factor = 0; factor < 1000; factor++){
		// cout << "d = " << d << " " << "factor = " << factor << endl;
		vector<long long> vec = generate_counter(d, factor);
		cout << "{";

		for(int j = 0; j < 10; j++){
			cout << vec[j];
			if(j != 9){
				cout << ',';
			}
		}
		cout << "}";
		if(factor != 99){
			cout << ",";
		}
		cout << '\n';
	}
}
*/

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#include <bits/stdc++.h>
using namespace std;

const long long MAX = 1000000000000000000;

long long MAP[18][10][10] = {
{{1,0,0,0,0,0,0,0,0,0},
{0,1,0,0,0,0,0,0,0,0},
{0,0,1,0,0,0,0,0,0,0},
{0,0,0,1,0,0,0,0,0,0},
{0,0,0,0,1,0,0,0,0,0},
{0,0,0,0,0,1,0,0,0,0},
{0,0,0,0,0,0,1,0,0,0},
{0,0,0,0,0,0,0,1,0,0},
{0,0,0,0,0,0,0,0,1,0},
{0,0,0,0,0,0,0,0,0,1}},

{{10,0,0,0,0,0,0,0,0,0},
{1,1,1,1,1,1,1,1,1,1},
{2,0,2,0,2,0,2,0,2,0},
{1,0,2,1,1,1,1,0,2,1},
{2,0,1,0,1,0,3,0,3,0},
{7,0,0,0,0,3,0,0,0,0},
{3,0,1,0,0,0,2,0,4,0},
{2,0,1,0,1,1,1,1,3,0},
{3,0,0,0,1,0,3,0,3,0},
{3,0,0,0,2,0,0,0,4,1}},

{{100,0,0,0,0,0,0,0,0,0},
{34,1,8,2,9,6,13,2,22,3},
{44,0,10,0,8,0,20,0,18,0},
{40,0,11,1,9,5,12,0,20,2},
{48,0,6,0,5,0,26,0,15,0},
{87,0,0,0,0,13,0,0,0,0},
{51,0,9,0,5,0,17,0,18,0},
{47,0,9,0,8,5,20,1,10,0},
{54,0,4,0,3,0,25,0,14,0},
{47,0,11,0,8,4,8,0,21,1}},

{{1000,0,0,0,0,0,0,0,0,0},
{552,1,68,3,55,33,141,3,138,6},
{632,0,58,0,33,0,162,0,115,0},
{613,0,79,1,39,21,105,0,139,3},
{681,0,39,0,16,0,157,0,107,0},
{958,0,0,0,0,42,0,0,0,0},
{694,0,61,0,18,0,107,0,120,0},
{694,0,42,0,28,21,160,1,54,0},
{755,0,32,0,6,0,124,0,83,0},
{684,0,87,0,19,15,61,0,133,1}},

{{10000,0,0,0,0,0,0,0,0,0},
{7263,1,466,4,214,132,1017,4,889,10},
{7913,0,353,0,98,0,920,0,716,0},
{7931,0,474,1,110,74,613,0,793,4},
{8431,0,256,0,37,0,716,0,560,0},
{9875,0,0,0,0,125,0,0,0,0},
{8480,0,324,0,42,0,551,0,603,0},
{8490,0,158,0,68,64,851,1,368,0},
{8853,0,204,0,10,0,549,0,384,0},
{8426,0,435,0,36,40,454,0,608,1}},

{{100000,0,0,0,0,0,0,0,0,0},
{85662,1,2670,5,615,435,5671,5,4921,15},
{89196,0,1897,0,230,0,4875,0,3802,0},
{89061,0,2301,1,245,245,4231,0,3911,5},
{91445,0,1356,0,71,0,4138,0,2990,0},
{99619,0,0,0,0,381,0,0,0,0},
{91008,0,1505,0,80,0,4376,0,3031,0},
{91302,0,615,0,135,245,4841,1,2861,0},
{92717,0,1055,0,15,0,3697,0,2516,0},
{90197,0,2061,0,60,160,4866,0,2655,1}},

{{1000000,0,0,0,0,0,0,0,0,0},
{920207,1,13460,6,1451,1466,36695,6,26687,21},
{933774,0,9528,0,462,0,34239,0,21997,0},
{929707,0,11421,1,471,951,37161,0,20282,6},
{942703,0,7026,0,181,0,30959,0,19131,0},
{998807,0,0,0,0,1193,0,0,0,0},
{938492,0,8066,0,255,0,36145,0,17042,0},
{944711,0,2723,0,356,1071,31657,1,19481,0},
{949299,0,5682,0,381,0,27476,0,17162,0},
{934209,0,11514,0,272,660,40587,0,12757,1}},

{{10000000,0,0,0,0,0,0,0,0,0},
{9491909,1,69420,7,3829,5341,274919,7,154539,28},
{9561834,0,52424,0,4088,0,249074,0,132580,0},
{9538181,0,65849,1,4599,3570,278572,0,109221,7},
{9618057,0,43660,0,8380,0,215859,0,114044,0},
{9996471,0,0,0,0,3529,0,0,0,0},
{9600907,0,53390,0,9030,0,243916,0,92757,0},
{9660218,0,20538,0,7203,3997,199990,1,108053,0},
{9666134,0,41076,0,15568,0,183288,0,93934,0},
{9594062,0,71365,0,7483,2219,259728,0,65142,1}},

{{100000000,0,0,0,0,0,0,0,0,0},
{96727773,1,417722,8,60180,18656,1905346,8,870270,36},
{97183454,0,365524,0,102076,0,1628882,0,720064,0},
{97126097,0,443468,1,92100,11516,1765044,0,561766,8},
{97570603,0,350312,0,153721,0,1354532,0,570832,0},
{99990575,0,0,0,0,9425,0,0,0,0},
{97548654,0,400655,0,136444,0,1460419,0,453828,0},
{97878586,0,253627,0,103832,12272,1241804,1,509878,0},
{97929955,0,346480,0,197436,0,1108366,0,417763,0},
{97622405,0,447454,0,93256,6160,1497504,0,333220,1}},

{{1000000000,0,0,0,0,0,0,0,0,0},
{979578102,1,3025242,9,939045,58029,11961897,9,4437621,45},
{982663764,0,2861164,0,1237482,0,9826356,0,3411234,0},
{982918871,0,3050403,1,974745,31869,10347712,0,2676390,9},
{985518393,0,2716767,0,1431757,0,7878618,0,2454465,0},
{999977349,0,0,0,0,22651,0,0,0,0},
{985857171,0,2737101,0,1135440,0,8275969,0,1994319,0},
{986865866,0,2468514,0,872481,32121,7594662,1,2166355,0},
{988296759,0,2465967,0,1451817,0,6168711,0,1616746,0},
{986706155,0,2547882,0,689718,14760,8430852,0,1610632,1}},

{{10000000000,0,0,0,0,0,0,0,0,0},
{9878382430,1,21873040,10,8732485,159430,70484777,10,20367762,55},
{9900526094,0,19875933,0,9375140,0,55772770,0,14450063,0},
{9904869365,0,18549872,1,6746485,77665,57999579,0,11757023,10},
{9921215165,0,17225847,0,8984341,0,42958482,0,9616165,0},
{9999950419,0,0,0,0,49581,0,0,0,0},
{9925270623,0,15470020,0,6592905,0,44579845,0,8086607,0},
{9925210327,0,17504924,0,5177200,74305,43064918,1,8968325,0},
{9939663569,0,13905250,0,7668415,0,32619365,0,6143401,0},
{9930928773,0,12496527,0,3684560,31620,45658394,0,7200125,1}},

{{100000000000,0,0,0,0,0,0,0,0,0},
{99326016765,1,136901413,11,56961531,392601,393138130,11,86589471,66},
{99474404786,0,114029719,0,52283957,0,300029554,0,59251984,0},
{99508935359,0,95437529,1,35198031,170951,309861453,0,50396665,11},
{99599615145,0,88964480,0,43316516,0,226544220,0,41559639,0},
{99999899712,0,0,0,0,100288,0,0,0,0},
{99629431515,0,72658872,0,29983250,0,231848266,0,36078097,0},
{99605068461,0,97084560,0,24155681,156101,225852154,1,47683042,0},
{99695226958,0,64420389,0,32267631,0,174572310,0,33512712,0},
{99660525302,0,52704410,0,15720617,62095,237397424,0,33590151,1}},

{{1000000000000,0,0,0,0,0,0,0,0,0},
{996499124003,1,722201372,12,289887214,882036,2099243511,12,388661761,78},
{997325950061,0,548127065,0,234585078,0,1585621052,0,305716744,0},
{997544339519,0,419808061,1,149913534,346710,1621936570,0,263655593,12},
{997934645314,0,388888545,0,172724905,0,1222418124,0,281323112,0},
{999999810115,0,0,0,0,189885,0,0,0,0},
{998128620262,0,292607074,0,114337410,0,1226533916,0,237901338,0},
{997878260436,0,446614093,0,94543912,303744,1191689622,1,388588192,0},
{998338308785,0,258797528,0,115887102,0,985390717,0,301615868,0},
{998299654938,0,194685645,0,57220132,113784,1249370002,0,198955498,1}},

{{10000000000000,0,0,0,0,0,0,0,0,0},
{9981948713433,1,3271729383,13,1229099287,1836159,11182203514,13,2366418106,91},
{9985836512869,0,2285533238,0,903400550,0,8637913830,0,2336639513,0},
{9987211394494,0,1619971288,1,559349921,657761,8723126763,0,1885499759,13},
{9988456300026,0,1508398229,0,629428255,0,6892012101,0,2513861389,0},
{9999999659867,0,0,0,0,340133,0,0,0,0},
{9989816998846,0,1047530068,0,417721980,0,6761320944,0,1956428162,0},
{9987751222276,0,1773930652,0,339754688,555373,6750044184,1,3384492826,0},
{9990122610763,0,962243490,0,459303364,0,5680583376,0,2775259007,0},
{9990887874782,0,644837349,0,218548824,197080,6864707499,0,1383834465,1}},

{{100000000000000,0,0,0,0,0,0,0,0,0},
{99902031287356,1,13114173697,14,4756606869,3586506,61491912211,14,18602433227,105},
{99919641710032,0,8606104340,0,3668907088,0,48528107058,0,19555171482,0},
{99929264352695,0,5647574611,1,2424698563,1180739,48266305206,0,14395888171,14},
{99931699651720,0,5483870016,0,3371107195,0,38898245701,0,20547125368,0},
{99999999418663,0,0,0,0,581337,0,0,0,0},
{99942017318716,0,3467777861,0,2569780759,0,37225384302,0,14719738362,0},
{99927873948748,0,6254904215,0,1614558232,964523,39307821385,1,24947802896,0},
{99939809553494,0,3566556644,0,4129671651,0,31435810812,0,21058407399,0},
{99949448192672,0,1963761996,0,1683101448,325780,37753002938,0,9151615165,1}},

{{1000000000000000,0,0,0,0,0,0,0,0,0},
{999441785434096,1,48104723380,15,24218431805,6638885,342906589613,15,142978182070,120},
{999530394990365,0,30615528854,0,27720348105,0,267931309640,0,143337823036,0},
{999601642329051,0,18366321393,1,21015375585,2023260,261504612384,0,97469338311,15},
{999593910499764,0,19811642068,0,38273670076,0,208454487722,0,139549700370,0},
{999999999045449,0,0,0,0,954551,0,0,0,0},
{999671553418406,0,11087644490,0,30658069785,0,193542768631,0,93158098688,0},
{999596377529707,0,19974463570,0,14620363805,1604205,217262336300,1,151763702412,0},
{999636863478955,0,13916789960,0,56183937930,0,161986434194,0,131049358961,0},
{999724777284070,0,5649374913,0,21235704485,517755,195567420696,0,52769698080,1}},

{{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996797304009863,1,167526488628,16,233925901576,11738656,1849155959180,16,952075901928,136},
{9997280671340441,0,107723197271,0,331483705352,0,1393872382200,0,886249374736,0},
{9997801672282131,0,57668744012,1,250479263736,3332376,1325951950092,0,564224427636,16},
{9997619051982521,0,74116160124,0,468171031201,0,1042289009976,0,796371816178,0},
{9999999998485887,0,0,0,0,1514113,0,0,0,0},
{9998179884076364,0,35679377951,0,355983047880,0,927930426481,0,500523071324,0},
{9997909326894869,0,58643574930,0,156560419056,2571616,1094162376972,1,781304162556,0},
{9997832483391271,0,57128708096,0,630784474456,0,789834040308,0,689769385869,0},
{9998560580374487,0,15803521564,0,234139390192,795680,925632437780,0,263843480296,1}},

{{100000000000000000,0,0,0,0,0,0,0,0,0},
{99981980972837834,1,574289772576,17,2661527233449,19952441,9348828582989,17,5434361620523,153},
{99984541917142935,0,387158434419,0,3589960401658,0,6781742947852,0,4699221073136,0},
{99988218706190613,0,180552032329,1,2569422345249,5304425,6202558665292,0,2828755462074,17},
{99986225932168174,0,287637011553,0,4590583290265,0,4970554559287,0,3925292970721,0},
{99999999997669469,0,0,0,0,2330531,0,0,0,0},
{99990104052509256,0,118324717262,0,3289671369520,0,4145913647648,0,2342037756314,0},
{99989902464958499,0,160145819015,0,1426962514565,3993521,5009166641964,1,3501256072435,0},
{99987242858821151,0,236438712690,0,5518031810925,0,3833552629569,0,3169118025665,0},
{99992750965596212,0,44175064060,0,2039166442570,1187824,4001253338345,0,1164438370988,1}
}};

long long DEG16[100][10] =
{{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996797304009863,1,167526488628,16,233925901576,11738656,1849155959180,16,952075901928,136},
{9997280671340441,0,107723197271,0,331483705352,0,1393872382200,0,886249374736,0},
{9997801672282131,0,57668744012,1,250479263736,3332376,1325951950092,0,564224427636,16},
{9997619051982521,0,74116160124,0,468171031201,0,1042289009976,0,796371816178,0},
{9999999998485887,0,0,0,0,1514113,0,0,0,0},
{9998179884076364,0,35679377951,0,355983047880,0,927930426481,0,500523071324,0},
{9997909326894869,0,58643574930,0,156560419056,2571616,1094162376972,1,781304162556,0},
{9997832483391271,0,57128708096,0,630784474456,0,789834040308,0,689769385869,0},
{9998560580374487,0,15803521564,0,234139390192,795680,925632437780,0,263843480296,1},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9994261945610933,1,892963347572,0,59454354254,2446200,4699681168004,0,85953073020,16},
{9998435783967383,0,23986901781,0,479845606496,0,631279381712,0,429104142628,0},
{9996583865270339,0,1028674347432,1,531029478832,458376,1493582512064,136,362847931124,1696},
{9998396352410331,0,30163814464,0,211174140057,0,762828092068,0,599481543080,0},
{9999999999634207,0,0,0,0,365793,0,0,0,0},
{9997950366458293,0,49090268244,0,796984668480,0,628495112015,0,575063492968,0},
{9995801501839084,0,1608162692296,0,1124163919000,152,716002643700,1,750168905751,16},
{9998847323516331,0,9270006488,0,315533727736,0,605214503092,0,222658246353,0},
{9998852192413575,0,210297156632,0,73528852376,146116,572826001676,136,291155429472,17},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9998695148143421,0,16743673425,0,151142490056,657120,735823586056,0,401141449922,0},
{9994782649202603,0,759465152960,0,31790429305,0,4373458159452,0,52637055680,0},
{9998214730940383,0,239769279280,0,41768228600,58096,1483463428913,0,20268064728,0},
{9998587445266527,0,18281639152,0,606793867696,0,432142761172,0,355336465453,0},
{9999999999936448,0,0,0,0,63552,0,0,0,0},
{9997320155691684,0,699272406113,0,747039349296,0,1031550780304,0,201981772603,0},
{9999110868929762,0,3118167956,0,175504951457,153456,618583618907,0,91924178462,0},
{9998753924702511,0,14399662504,0,270034311040,0,524925949893,0,436715374052,0},
{9998269089265517,0,6779542176,0,0,101360,1675482339946,0,48648751001,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996400686404393,0,86812248974,1,27281734512,64208,3425054591448,0,60164956464,0},
{9998012127541779,0,44731235124,0,938956789680,0,543556341401,0,460628092016,0},
{9994855594034827,0,772333727412,0,77197848312,677040,4264811786712,0,30061925696,1},
{9996624260093327,0,1139208316649,0,1140647606080,0,566963417720,0,528920566224,0},
{9999999999687679,0,0,0,0,312321,0,0,0,0},
{9999034748857889,0,5902436528,0,399012541216,0,378031962810,0,182304201557,0},
{9996548230434575,16,1091974861661,0,270296,1681680,1240758881048,0,1119033870724,0},
{9999042457830389,0,267817063526,0,53660186192,0,433103149824,0,202961770069,0},
{9997696929574774,0,536570553152,0,663549847201,118356,853186251013,16,249763655368,120},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9997626800240683,0,795625374320,0,150976183601,0,1040591911552,0,386006289844,0},
{9999032419091851,0,8019522192,0,193510080416,0,472064344100,0,293986961441,0},
{9997932068270957,0,112812677729,0,136,1920,1735974771516,0,219144277742,0},
{9995304729745629,0,680443465164,0,13801100080,0,3969927432399,0,31098256728,0},
{9999999999925248,0,0,0,0,74752,0,0,0,0},
{9998551148539717,0,247500813852,0,17477888418,0,1169406519668,0,14466238345,0},
{9996047663535267,0,23455289960,0,10896,262200,1763430874141,0,2165450027536,0},
{9998664952974977,0,15525277114,0,717332637840,0,317915662725,0,284273447344,0},
{9998883270276594,0,22007942090,0,272,310368,573807928603,0,520913542073,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9996993118306365,0,1219524081310,0,943036067040,17,306885365948,0,537436179320,0},
{9997747431959048,0,444357307304,0,979558275712,0,727470434338,0,101182023598,0},
{9997779993539211,0,18240155212,240,7695856,10881,1881145797320,0,320612801280,0},
{9999321494757934,0,1659556056,0,221659860240,0,381334605556,0,73851220214,0},
{9999999999711712,0,0,0,0,288288,0,0,0,0},
{9998993459921822,0,6403564386,0,324590106516,0,370818492472,0,304727914804,0},
{9999365393342039,0,183064441640,0,20425768456,28057,312565128588,16,118551291204,0},
{9998638973104936,0,4026780884,0,0,0,1304110263956,0,52889850224,0},
{9998236991224361,0,75621809272,0,2732850120,11576,1502110234007,0,182543870664,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999454858014507,0,27922900,0,784944,7280,402718196057,0,142395074312,0},
{9996614947772643,0,54113931885,0,14007313320,0,3284419242176,0,32511739976,0},
{9999238563829421,0,3764065024,0,119950967152,142096,474735871800,0,162985124507,0},
{9998058991607297,0,41013307942,0,1029842583120,0,515868990872,0,354283510769,0},
{9999999999985632,0,0,0,0,14368,0,0,0,0},
{9995425776194943,0,620224710264,0,38458603064,0,3898961056528,0,16579435201,0},
{9997195730508435,0,1324666155208,0,321116235440,0,791909638964,0,366577461953,0},
{9997326543904103,0,741453102876,0,1108586178960,0,473428460941,0,349988353120,0},
{9999103929768136,0,98717689312,0,25721055480,12320,760580339456,0,11051135296,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999183735111719,0,31067123656,0,410213440,59484,337423647688,1,447363831412,12600},
{9999143031659185,0,4264712632,0,472746683137,0,234921228604,0,145035716442,0},
{9998250631444404,0,5468063920,0,572978003728,3636,1099507624048,0,71414860264,0},
{9996776579809739,0,1057313697800,0,41360,0,1100535590205,0,1065570860896,0},
{9999999999990559,0,0,0,0,9441,0,0,0,0},
{9999110713033987,0,358690003308,0,36686524000,0,362403627892,0,131506810813,0},
{9996441651717089,0,311268628934,0,66994543776,222784,3172771533448,0,7313353969,0},
{9998106258624880,0,334550628040,0,882984822720,0,544530291408,0,131675632952,0},
{9998205629406735,0,13769395496,0,3600,54080,1728727289848,136,51873850105,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9999494353745955,0,392597812,0,100618321440,21840,382799109796,0,21836203157,0},
{9998231299966433,0,584674065544,0,128995776256,0,703678608753,0,351351583014,0},
{9997209325449237,0,905048113016,0,9798896,1920,1737407791650,0,148208845281,0},
{9999264845017515,0,3509085236,0,233164540336,0,293398926733,0,205082430180,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9998295781781223,0,65069822100,0,16,0,1441043887061,0,198104509600,0},
{9998638138663450,0,1058746654,0,0,17880,1333771235720,0,27031336296,0},
{9995855161575143,0,629793852980,0,4597410800,0,3492802532316,0,17644628761,0},
{9999314652879393,0,111747809296,0,3315443977,240,564729337580,0,5554529514,0},
{10000000000000000,0,0,0,0,0,0,0,0,0},
{9997699875641553,0,391155125976,0,845286842672,47280,819547719108,0,244134623170,241},
{9998847325982679,0,248341322176,0,6035466768,0,888800259288,0,9496969089,0},
{9996475750146699,0,22254844112,0,8508820321,14740,3476546429752,0,16939744376,0},
{9996251460315483,0,20209090128,0,1920,0,1662977385836,0,2065353206633,0},
{9999999999989360,0,0,0,0,10640,0,0,0,0},
{9998704919873536,0,13860111124,0,792049811280,0,268883852940,0,220286351120,0},
{9998511768194779,0,12812566740,0,36063731376,0,1411526925000,0,27828582105,0},
{9999278548602061,0,10425677336,0,17,0,378395419178,0,332630301408,0},
{9995568083803435,0,619286171824,0,87293735240,152880,3713928595932,0,11407540689,0}};

long long DEG15[1000][10] =
{{1000000000000000,0,0,0,0,0,0,0,0,0},
{999441785434096,1,48104723380,15,24218431805,6638885,342906589613,15,142978182070,120},
{999530394990365,0,30615528854,0,27720348105,0,267931309640,0,143337823036,0},
{999601642329051,0,18366321393,1,21015375585,2023260,261504612384,0,97469338311,15},
{999593910499764,0,19811642068,0,38273670076,0,208454487722,0,139549700370,0},
{999999999045449,0,0,0,0,954551,0,0,0,0},
{999671553418406,0,11087644490,0,30658069785,0,193542768631,0,93158098688,0},
{999596377529707,0,19974463570,0,14620363805,1604205,217262336300,1,151763702412,0},
{999636863478955,0,13916789960,0,56183937930,0,161986434194,0,131049358961,0},
{999724777284070,0,5649374913,0,21235704485,517755,195567420696,0,52769698080,1},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999168901575061,1,147996088340,0,7318548660,1531635,648495467273,0,27286789015,15},
{999722656229965,0,6907309210,0,45644639265,0,138570753455,0,86221068105,0},
{999315993277160,0,238760478290,1,32572132755,309428,330919726930,120,81754073936,1380},
{999682389518315,0,11002777976,0,20717730571,0,158929986683,0,126959986455,0},
{999999999753954,0,0,0,0,246046,0,0,0,0},
{999662497948227,0,11147593903,0,80263703520,0,127795276816,0,118295477534,0},
{999252130781474,0,296674648158,0,137619023220,135,156253029997,1,157322517000,15},
{999780405256444,0,3233910810,0,32021606100,0,136661365059,0,47677861587,0},
{999753628360293,0,22405194228,0,20438063640,104525,135656700008,120,67871577170,16},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999727411154567,0,6364922911,0,15654953280,438375,161887883932,0,88680646935,0},
{999238231448049,0,119287000440,0,4606737466,0,620110627735,0,17764186310,0},
{999630158268677,0,38288094292,0,10072167275,42435,318096155106,0,3385272215,0},
{999756282234273,0,4776600135,0,65217877740,0,96750138740,0,76973149112,0},
{999999999954715,0,0,0,0,45285,0,0,0,0},
{999486876964153,0,178310326111,0,51637050675,0,233843512466,0,49332146595,0},
{999816944621401,0,1282660150,0,19031037496,106940,141467007195,0,21274566818,0},
{999751645624105,0,5617289165,0,29260689315,0,113321122657,0,100155274758,0},
{999670183698169,0,2371375081,0,0,73710,319874562228,0,7570290812,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999533571030833,0,27249660428,1,9639484885,47103,410032778030,0,19506998720,0},
{999674935694062,0,10025850345,0,107573466000,0,105152224951,0,102312764642,0},
{999225127806973,0,138968835631,0,11396858560,453180,614209326200,0,10296719455,1},
{999377646693056,0,229874328976,0,154226351125,0,120324511525,0,117928115318,0},
{999999999785244,0,0,0,0,214756,0,0,0,0},
{999820260273170,0,1913085338,0,45753047355,0,90258571441,0,41815022696,0},
{999498760256997,15,167376326671,0,194160,780780,211740346914,0,122122094463,0},
{999814980577657,0,21987013416,0,16083318645,0,95862944180,0,51086146102,0},
{999553436310022,0,135351059605,0,47197640701,85170,206403391629,15,57611512753,105},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999542414319213,0,157823392890,0,11198311636,0,210862778486,0,77701197775,0},
{999793769285561,0,3257360905,0,22248940365,0,110256113028,0,70468300141,0},
{999667793502015,0,20475702549,0,120,1575,269276248591,0,42454545150,0},
{999297315309882,0,103667469395,0,2338051200,0,585549788053,0,11129381470,0},
{999999999946525,0,0,0,0,53475,0,0,0,0},
{999685729728739,0,39865026440,0,4702971975,0,267285109465,0,2417163381,0},
{999435656036155,0,4948941040,0,8415,173460,250614142727,0,308780698203,0},
{999774584326408,0,3823725390,0,87298020810,0,68162976262,0,66130951130,0},
{999727779823289,0,8166264255,0,240,213150,136802051205,0,127251647861,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999431059469948,0,238857698188,0,137506917240,16,72380742580,0,120195172028,0},
{999607792836898,0,123917073133,0,77356805541,0,164056188733,0,26877095695,0},
{999678209579467,0,6379527995,210,535200,8401,247362729894,0,68047618833,0},
{999860373052137,0,679741673,0,27140846460,0,93727739865,0,18078619865,0},
{999999999800710,0,0,0,0,199290,0,0,0,0},
{999802265883929,0,2665351253,0,39424029645,0,80541662695,0,75103072478,0},
{999866066667826,0,18496741720,0,6360390870,21471,77830139790,15,31246038308,0},
{999748934034860,0,1464154150,0,0,0,243804184260,0,5797626730,0},
{999639193889369,0,22362145275,0,601260660,8975,285293670100,0,52549025621,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999873893445591,0,16306255,0,518940,5460,105350111786,0,20739611968,0},
{999561448159372,0,17817052306,0,5350430085,0,404350834542,0,11033523695,0},
{999827688290152,0,1595144895,0,14633711835,101130,115161220472,0,40921531516,0},
{999679811226503,0,9515217105,0,133686382830,0,92556458175,0,84430715387,0},
{999999999989297,0,0,0,0,10703,0,0,0,0},
{999290289872521,0,110495233250,0,6572452608,0,586601927210,0,6040514411,0},
{999508099897096,0,166076869380,0,73663394805,0,168246703133,0,83913135586,0},
{999491075632295,0,163870275600,0,165688291860,0,96287238925,0,83078561320,0},
{999791660400332,0,16941942165,0,7023326415,9555,182681580503,0,1692741030,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999829923599068,0,10272761535,0,158143440,42645,62539518096,1,97105925660,9555},
{999845242598914,0,1257580005,0,61137055981,0,56888868475,0,35473896625,0},
{999717017441188,0,2116298104,0,77055731025,2850,182619418610,0,21191108223,0},
{999516931135603,0,166968563415,0,31815,0,188978429932,0,127121839235,0},
{999999999992754,0,0,0,0,7246,0,0,0,0},
{999851761828441,0,28583648410,0,11832154425,0,72038433603,0,35783935121,0},
{999395918076147,0,53080859606,0,11150940885,152895,537200414673,0,2649555794,0},
{999664413506742,0,93077423460,0,72829326570,0,136437574735,0,33242168493,0},
{999750705162429,0,2874122840,0,2940,38355,230196361740,120,16224311576,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999884889051674,0,192023780,0,13186380480,16380,95900244577,0,5832283109,0},
{999634002520411,0,127855897743,0,11691383110,0,152663522241,0,73786676495,0},
{999498484014308,0,144686071490,0,5944590,1575,312700966731,0,44123001306,0},
{999844315693641,0,1522503153,0,29990350390,0,71243522131,0,52927930685,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999709002729898,0,13220916660,0,15,0,240455702311,0,37320651116,0},
{999763636311642,0,443515445,0,0,13860,231910643988,0,4009515065,0},
{999354248509011,0,96927307680,0,908048535,0,541227822910,0,6688311864,0},
{999836867879168,0,24438336981,0,1312311786,210,136728680825,0,652791030,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999568564204856,0,106633003238,0,79997968290,34335,185119795926,0,59684993144,211},
{999738585826811,0,41446748960,0,1809563730,0,216488037938,0,1669822561,0},
{999522673945249,0,7800283640,0,3298555261,11445,460082053490,0,6145150915,0},
{999461276113724,0,4209425340,0,1575,0,233870380390,0,300644078971,0},
{999999999991810,0,0,0,0,8190,0,0,0,0},
{999781763731807,0,3422092405,0,108643209675,0,51625015818,0,54545950295,0},
{999675590367064,0,4433956935,0,10476077720,0,299846011530,0,9653586751,0},
{999811559668331,0,4137289435,0,16,0,95457824370,0,88845217848,0},
{999291913212579,0,122540553230,0,15162716340,109200,566285793950,0,4097614701,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999781892154197,0,6147781185,0,264360635,0,158846775765,0,52848928218,0},
{999537514804522,0,177911940615,0,143774532840,0,51570581808,0,89228140215,0},
{999765568439894,0,155325565055,0,274614810,0,43689016395,0,35142363846,0},
{999680739282350,0,80018118945,0,108050747805,0,117956578125,0,13235272775,0},
{999999999950635,0,0,0,0,49365,0,0,0,0},
{999716549119602,0,2441466538,0,479130,0,238785994455,0,42222940275,0},
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{999791199523402,0,45651616740,0,646277835,1,147069317525,0,15433264497,0},
{999715865374476,0,310697625,0,275760,0,253335502521,0,30488149618,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999829412187465,0,28609761470,0,1319055675,0,135233062805,0,5425932585,0},
{999936773369614,0,16093387290,0,2583945,4201,29313003380,0,17817651570,0},
{999976078149565,0,131492340,0,645705060,0,8151464295,0,14993188740,0},
{999838141885872,0,4796279113,0,5903188215,0,81695385540,0,69463261260,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999836761210496,0,473142090,0,2479216740,0,160205479334,0,80951340,0},
{999936495429510,0,50252925480,0,814043700,0,6267525285,0,6170076025,0},
{999760460148807,0,18872755546,0,15918630,0,153653176500,0,66998000517,0},
{999889484839499,0,1159526551,0,680,0,98481414965,0,10874218305,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999942716808689,0,17358913515,0,2563781220,0,34011469955,0,3349026621,0},
{999877507803896,0,95595318,0,52240788600,0,50511700941,0,19644111245,0},
{999847528702540,0,6575251,0,1440105,0,112605831778,0,39857450326,0},
{999822256708149,0,29902040075,0,0,0,147746776380,0,94475396,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999901551291899,0,104556900,0,35505,0,90948479275,0,7395636421,0},
{999970857454906,0,3025171,0,9390381000,0,19232205623,0,516933300,0},
{999875956308399,0,52615733865,0,14583605611,0,31675835175,0,25168516950,0},
{999968392525696,0,99660890,0,15,0,28476431549,0,3031381850,0},
{999999999999999,0,0,0,0,1,0,0,0,0},
{999931789936845,0,170850,0,1785,0,34124637892,0,34085252628,0},
{999813919424038,0,66908205,0,2045949360,0,183686150887,0,281567510,0},
{999715897267242,0,152641940340,0,43723680,0,128743100940,0,2673967798,0},
{999729635056047,0,2201063250,0,164847560790,0,94420494148,0,8895825765,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999862799942886,0,3077131718,0,1786,0,93790632975,0,40332290635,0},
{999850004832794,0,131855130,0,1106837550,0,134251026431,0,14505448095,0},
{999591719988030,0,1489732726,0,1318852080,0,400854552839,0,4616874325,0},
{999882128231587,0,42674914485,0,10726252320,0,38215920993,0,26254680615,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999950291528774,0,21327254265,0,184264080,0,23120318050,0,5076634831,0},
{999570454635710,0,896539567,0,0,0,225054318913,0,203594505810,0},
{999678643308303,0,23669811480,0,50908747890,0,244157939572,0,2620192755,0},
{999847363964251,0,3280400075,0,0,0,148809980275,0,545655399,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999927973465266,0,35053320,0,0,0,62787258960,0,9204222454,0},
{999666349685834,0,2189644566,0,186696510,0,330557025205,0,716947885,0},
{999873993431116,0,1236705,0,97181760,0,125067765858,0,840384561,0},
{999894515322080,0,2130023100,0,43303260,0,57790551010,0,45520800550,0},
{1000000000000000,0,0,0,0,0,0,0,0,0},
{999743282172941,0,94595983375,0,76650,0,155360835873,0,6760931161,0},
{999718198948027,0,17761914935,0,10597036905,0,219140906198,0,34301193935,0},
{999911762595931,0,51069560115,0,4949490,0,29532230270,0,7630664194,0},
{999729016236669,0,63973940271,0,0,5005,72711517945,0,134298300110,0}};


long long small_coefficients[17*2 + 1][17 + 1];
long long coefficients[17*3 + 1][17*2 + 1][17 + 1];


long long factorials[20];

int mno(long long x){
	if(x < 10){
		return x;
	}

	long long y = 1;
	while(x > 0 && y > 0){
		y *= (x % 10);
		x /= 10;
	}
	return mno(y);
}

// so, basically, we start with some factor, and we fill in
// the remaining first D digits.
vector<long long> generate_counter(int D, vector<long long> factors){
	int original_size = factors.size();

	vector<long long> RES(10, 0);

	for(int l = 0; l < factors.size(); l++){
		if(factors[l] < 10){
			for(int i = 0; i < 10; i++){
				RES[i] += MAP[D][factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
		if(D == 16){
			vector<long long> vec;
			for(int i = 0; i < 10; i++){
				RES[i] += DEG16[factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
		if(D == 15){
			vector<long long> vec;
			for(int i = 0; i < 10; i++){
				RES[i] += DEG15[factors[l]][i];
			}
			factors.erase(factors.begin() + l);
			l--;
			continue;
		}
	}

	if(factors.size() > 0){
		int amts[3];

		// if we can append any 5 whatsoever, and if the factor is not even.
		if(D >= 1){
			amts[0] = 0;
			amts[1] = 1;
			amts[2] = 0;
			long long v0 = 1;
			long long v1 = 5;
			long long v2 = 1;
			long long v, summand;
			while(true){
				// this is the crux of the algorithm.
				// first assume there is a five somewhere.
				// then adding any 2 will make things 0,
				// so we only have prime factors 3, 5, 7.
				// position 0 is 3, position 1 is 5, position 2 is 7.
				summand = factorials[D]/(factorials[amts[1]]*factorials[amts[2]]*factorials[D-amts[1]-amts[2]]) 
										* small_coefficients[amts[0]][D - amts[1] - amts[2]];
				v = v0 * v1 * v2;
				for(int l = 0; l < factors.size(); l++){
					RES[mno(v * factors[l])] += summand;
				}

				if(amts[0] == 2*(D - amts[1] - amts[2])){
					amts[0] = 0;
					v0 = 1;
				} else {
					amts[0]++;
					v0 *= 3;
					continue;
				}

				if(amts[1] + amts[2] == D){
					amts[1] = 1;
					v1 = 5;
				} else {
					amts[1]++;
					v1 *= 5;
					continue;
				}

				if(amts[2] == D - 1){
					amts[2] = 0;
					v2 = 1;
				} else {
					amts[2]++;
					v2 *= 7;
					continue;
				}

				break;
			}
		}

		amts[0] = 0;
		amts[1] = 0;
		amts[2] = 0;
		long long v0 = 1;
		long long v1 = 1;
		long long v2 = 1;
		long long v, summand;
		while(true){
			// again, this is the crux of the algorithm.
			// we assume there is NO five anywhere.
			// So we only have prime factors 2, 3, 7.
			// position 0 is 2, position 1 is 3, position 2 is 7.
			summand = coefficients[amts[0]][amts[1]][D - amts[2]];

			if(summand > 0){
				summand *= factorials[D] / (factorials[amts[2]] * factorials[D - amts[2]]);
				v = v0 * v1 * v2;
				for(int l = 0; l < factors.size(); l++){
					RES[mno(v * factors[l])] += summand;
				}

				amts[0]++;
				v0 *= 2;
				continue;
			} else {
				amts[0] = 0;
				v0 = 1;
			}

			if(amts[1] == 2*(D - amts[2])){
				amts[1] = 0;
				v1 = 1;
			} else {
				amts[1]++;
				v1 *= 3;
				continue;
			}

			if(amts[2] == D){
				amts[2] = 0;
				v2 = 1;
			} else {
				amts[2]++;
				v2 *= 7;
				continue;
			}

			break;
		}
	}

	// all the remaining cases will give us necessarily a 0.
	long long z = original_size;
	for(int i = 0; i < D; i++){
		z *= 10ll;
	}
	for(int i = 0; i < 10; i++){
		z -= RES[i];
	}
	RES[0] += z;

	return RES;
}

void process(){
	long long N;
	cin >> N;
	N++;

	long long x = 1;
	long long leading_digit = 1;
	long long power = 1;
	int degrees = 0;
	vector<long long> counter(10, 0);
	vector<long long> ans(10, 0);
	while(x <= N){
		// we include all of them exclusive of the upper range.
		for(int i = 0; i < 10; i++){
			ans[i] += counter[i];
		}

		if(degrees == 18) break;
		counter = generate_counter(degrees, {leading_digit});
		leading_digit++;
		x += power;
		if(leading_digit == 10){
			leading_digit = 1;
			power *= 10ll;
			degrees++;
		}
	}
	if(leading_digit == 1){
		leading_digit = 9;
		degrees--;
		power /= 10ll;
	}
	x -= power;

	// cout << N << endl;
	// cout << x << endl;

	if(N >= MAX){
		for(long long l = MAX; l < N; l++){
			ans[mno(l)]++;
		}

		for(int i = 0; i < 10; i++){
			cout << ans[i] << ' ';
		}
		cout << '\n';
		return;
	} else {
		power /= 10ll;
	}

	// cout << power << endl;

	// so now we have the following situation: 
	// MAX > N >= x
	// and we wish to calculate for all the numbers up to, but excluding, N.
	// currently, ans calculates for all the numbers up to, but excluding, x.


	vector<long long> digits;
	long long N_copy = N;
	while(N > 0){
		digits.push_back(N%10ll);
		N /= 10ll;
	}
	N = N_copy;

	long long factor = digits.back();
	for(int i = digits.size() - 2; i >= 0; i--){
		// cout << x << endl;
		vector<long long> input;
		if(x <= N){
			// we increase x.
			int upper_range = digits[i];
			if(i != 0 && digits[i - 1] >= 5){
				upper_range = digits[i] + 1;
			}

			for(long long d = 0; d < upper_range; d++){
				input.push_back(factor * d);
			}
			vector<long long> counter = generate_counter(i, input);

			for(int j = 0; j < 10; j++){
				ans[j] += counter[j];
			}

			x += power * upper_range;
		} else {
			// we decrease x.
			int lower_range = digits[i];
			if(i != 0 && digits[i - 1] >= 5){
				lower_range = digits[i] + 1;
			}

			for(long long d = 9; d >= lower_range; d--){
				input.push_back(factor * d);
			}
			vector<long long> counter = generate_counter(i, input);

			for(int j = 0; j < 10; j++){
				ans[j] -= counter[j];
			}

			x -= power * (10ll - lower_range);
			
		}

		factor *= digits[i];
		power /= 10ll;
	}

	for(int i = 0; i < 10; i++){
		cout << ans[i] << ' ';
	}
	cout << '\n';
}

void find_coefficients(){
	// firstly find the small coefficients.
	for(int i = 0; i < 17*2 + 1; i++){
		for(int k = 0; k < 17 + 1; k++){
			small_coefficients[i][k] = 0;

			if(i > 2*k){
				continue;
			}
			long long sum = 0;
			for(int s = max(0, i - k); 2*s <= i; s++){
				// so we have: s nines, i - 2*s threes, and k + s - i ones
				sum += factorials[k]/(factorials[s] * factorials[i - 2*s] * factorials[k + s - i]);
			}
			small_coefficients[i][k] = sum;
			// cout << "i = " << i << "  k = " << k << "  sum = " << sum << endl;
		}
	}
	// cout << "HERE" << endl;

	// and now the big coefficients.
	for(int i = 0; i < 17*3 + 1; i++){
		for(int j = 0; j < 17*2 + 1; j++){
			for(int k = 0; k < 17 + 1; k++){
				// here is how it looks like:
				// there is i factors of 2
				// there is j factors of 3
				// all of them are distributed over k fields.

				coefficients[i][j][k] = 0;
				if(i > 3*k || j > 2*k){
					continue;
				}
				// let a be the amount of number 6, and b the amount of fields in which I place values divisible by 2.
				for(int a = 0; a <= min(min(i, j), k); a++){
					for(int b = 0; b <= k - a; b++){
						if(i - a > 3*b || i - a - b < 0 || j - a > 2*(k - a - b)){
							continue;
						}
						long long val = factorials[k] / factorials[a];
						val /= factorials[b];
						val /= factorials[k - a - b];
						// now I place the values 2, 4, 8 on b fields.
						val *= small_coefficients[i - a - b][b];
						// and finally, I place the values 1, 3, 9 on k - a - b fields.
						val *= small_coefficients[j - a][k - a - b];

						coefficients[i][j][k] += val;
					}
				}
			}
		}
	}
}

// the normal main function

int main(){
	// std::chrono::steady_clock::time_point begin = std::chrono::steady_clock::now();
	cin.tie(NULL);
	ios_base::sync_with_stdio(0);

	factorials[0] = 1;
	for(long long i = 1; i < 20; i++){
		factorials[i] = i * factorials[i - 1];
	}
	find_coefficients();
	// cout << "DONE" << endl;

	int T;
	cin >> T;
	for(int v = 0; v < T; v++){
		process();
	}

	// std::chrono::steady_clock::time_point end = std::chrono::steady_clock::now();
	
	// std::cerr << "Time difference = " << std::chrono::duration_cast<std::chrono::microseconds>(end - begin).count() << "[µs]" << std::endl;
	// std::cerr << "Time difference = " << std::chrono::duration_cast<std::chrono::nanoseconds> (end - begin).count() << "[ns]" << std::endl;
}



// main function used to generate initial MAP values.
/*
int main(){
	cin.tie(NULL);
	ios_base::sync_with_stdio(0);

	factorials[0] = 1;
	for(long long i = 1; i < 20; i++){
		factorials[i] = i * factorials[i - 1];
	}
	find_coefficients();

	int d = 15;
	for(long long factor = 0; factor < 1000; factor++){
		// cout << "d = " << d << " " << "factor = " << factor << endl;
		vector<long long> vec = generate_counter(d, factor);
		cout << "{";

		for(int j = 0; j < 10; j++){
			cout << vec[j];
			if(j != 9){
				cout << ',';
			}
		}
		cout << "}";
		if(factor != 99){
			cout << ",";
		}
		cout << '\n';
	}
}
*/