TopCoder Statistics - Problem Statement

Problem Statement

Your friend just took part in a popular online programming contest. The participants were split across roomCount rooms, with each room containing exactly roomSize contestants. We will use n = roomCount * roomSize to denote the total number of contestants.

The contest was such that there were no ties. After the contest, each contestant had a distinct rank between 1 and n, inclusive. (The contestant with rank 1 is the winner.)

A room winner is the contestant with the best (i.e., smallest) rank in their room.

You do not know the final standings. The only thing you know are the ranks of all room winners. More precisely, you are given a int[] leaders with roomCount elements. The i-th element of leaders denotes the rank of the room winner of the i-th room.

Your friend just told you that her rank in this contest was friendPlace.

Return the number of different rooms in which your friend could have competed, given the information you have.

Definition

Class:: FindingFriend
Method:: find
Parameters:: int, int[], int
Returns:: int
Method signature:: int find(int roomSize, int[] leaders, int friendPlace)
(be sure your method is public)

Notes

The value of n is not explicitly given in the arguments, but can be computed as roomSize times the number of elements in leaders.

Constraints

roomSize will be between 1 and 1,000,000,000, inclusive.
roomCount will be between 1 and 1,000, inclusive.
Additionally, roomSize and roomCount will be such that n (that is, roomSize times roomCount) will not exceed 1,000,000,000.
leaders will contain exactly roomCount elements.
Each element of leaders will be between 1 and n, inclusive.
All elements of leaders will be distinct.
It is guaranteed there is at least one distribution of contestants into rooms that is consistent with leaders.
friendPlace will be between 1 and n, inclusive.

Examples

2

{5,1,2}

4

Returns: 2

We have 6 contestants: 3 rooms with 2 contestants in each of them. Your friend finished 4-th. Given the information you have, there are only two possible distributions of contestant ranks into rooms: Room 1: ranks 5 and 6. Room 2: ranks 1 and 3. Room 3: ranks 2 and 4. Room 1: ranks 5 and 6. Room 2: ranks 1 and 4. Room 3: ranks 2 and 3. Your friend has competed either in room 2 or in room 3. There are two possible rooms, so the correct return value is 2.
5

{1,2,3,4,5}

4

Returns: 1

You know for sure your friend is in room 4, as she is its room winner.
6

{10,5,1,4,2,20}

9

Returns: 4

Your friend can be in either of the rooms 2, 3, 4, and 5.
1000000000

{1}

700700700

Returns: 1
2

{3,6,8,1,2}

10

Returns: 5
374514

{82451613,13285326,24155806,66262612,82258828,13491426,61126893,63186351,80614383,7268742,57486522,45696773,26345552,3846508,23558986,33568265,15716152,19295268,41682706,13009471,4632112,52712892,7079204,58062272,30216817,35522043,29206635,70997637,62890820,41095132,19804091,545908,51613213,48683500,743106,6454792,21113129,76361666,84446876,79835377,23795576,35372803,16623128,68226077,53989077,54169096,19615325,27576939,85322589,32307138,9400296,52885585,46645415,51219362,25614107,43424017,67661189,23197829,53242554,57143614,43791010,58086256,21956841,60187903,80290799,76003127,77970765,72817913,29697743,5786208,38764367,64369645,13991340,25057708,11363005,72354317,77648199,69037934,72902143,58026903,6005340,18351117,75105947,71136474,1035217,40329568,21989377,41517588,3517452,37727291,12133627,10354836,39523534,19875034,83951794,3597880,61233670,71878226,17925042,64697706,65601808,34519170,66502074,63366603,35952023,78904944,52142884,77444828,15725036,48074356,21467111,78450594,83780599,34398958,74379333,42275558,66251688,54747302,15154365,33055339,49768565,51918092,36702718,65082034,2184871,44752547,11133396,31402142,18715564,27567349,9099712,57683050,26099046,62079414,55575261,76348657,23271350,46039106,73503352,49288535,38434749,24951617,82779491,21309993,69992681,29641928,81539429,94760,81172739,60475088,987987,42194563,48678392,28800911,35033534,85704663,13651744,1,78989105,45353914,74877884,47663901,44929372,65356254,32250905,43047849,50851979,38167396,46924081,52298826,44325813,70306041,55463939,25131424,41963469,3202845,60698946,56432900,70579091,11859010,14827162,68898526,30558683,83469626,81032362,15713506,58690779,56108853,56784740,31216824,72114743,20413841,62160208,10499804,2918276,55278999,8970916,28297150,8374501,75014691,49005977,17510670,40314149,74101218,4663797,31893821,25876745,6695964,46565050,63686249,67757408,85392743,39230138,50305580,36330397,16640989,5540666,37327000,29176180,31352943,67740456,76547406,40005638,17523641,9192526,83795325,8037070,2480610,79338614,11714668,67151039}

57478612

Returns: 155
453962

{88466979,65721589,18473376,91542956,45706635,19233036,51990834,48597336,9197046,61014396,87438074,4264232,94318952,46744082,58836383,74436972,32089578,76321090,35348762,81699850,48781051,15795946,82065745,74358968,6510211,37790519,14780255,18149519,51662914,85175683,65703430,82923600,87666793,69690542,55621248,36764465,5150729,50382667,16999767,67521833,63776603,41081180,41651514,79537157,93688628,77302332,54407622,5908254,48098233,46925336,4805454,13340797,50172509,36280185,87710067,5664497,10492760,6156758,92664717,11566151,60691793,56901854,43988058,19644322,96952553,13048466,72573767,92192258,27982988,636056,79792454,48512,22877026,67081201,50393456,54265687,86601598,2220140,52582906,9468073,16276497,43109540,32599137,10436629,66709067,75789505,39397419,20138066,35794020,63354042,96631468,9913539,2195285,45492197,7880044,45145881,94987189,68902967,74571489,85194427,80368161,97241053,8645795,33145265,72873928,15205372,82884015,34124361,44603435,59856715,64164170,49631807,41179018,97505594,83547983,90713398,42760160,87485789,85385901,62370400,63801069,61522544,71545065,93029120,30422041,13588253,1,23634541,29884571,8162359,14059001,70488043,28827603,30013404,20053724,37253557,39801564,57356722,80679742,41262682,26779949,934938,20935617,71323368,17371608,69359499,65216099,40795561,25821067,62160288,48410620,77468282,52504816,26840615,70485255,53555244,78154471,3958525,58817760,29900504,12501630,34800625,18758281,95349448,68934146,23126651,56127729,57514678,2586535,26939222,30589684,75979772,61986698,21395867,53563307,97533529,84420018,60231320,79424035,44214152,91657562,89093270,36730831,56013662,91151554,71624525,5717382,24294608,2330022,1485528,77750023,28483409,10288146,94390500,22664152,33070441,66695455,24463124,24048563,55252307,97104296,37691260,82099809,39036702,85161496,68407806,95933030,75121864,78205002,28362888,47278621,33286396,58156215,90130648,40089617,12709709,73476176,21668222,23935984}

3544712

Returns: 9
912988

{483463454,245076945,635063378,591487913,91783904,550801040,381704337,298557348,263500482,507258708,9129230,354346577,34302078,37807342,524331089,70719974,273770721,566988407,24701318,225381993,408300152,130481429,553688967,594148410,32808520,314328037,15941267,212468736,79969552,543720097,31948408,448339670,344900753,240580051,40439588,303577624,6833401,145063960,44479274,249456321,168247707,142242123,97400632,541815740,33982880,115148429,580566737,319693254,121952964,593368867,437342660,631684321,184642579,234195811,183390268,633975643,2019606,63625923,152081403,237655724,348538089,586015297,394549676,542340503,627026639,175917049,410429041,340505159,99985160,378561571,598496308,546896164,134548289,384954832,102660314,508649902,414563750,466729874,90328975,26601705,637210617,539378103,469020337,488814572,79654217,20822822,188329306,46899689,556764239,251208196,201550819,316682903,483008275,324535738,514966535,94806131,160408993,186784352,632355999,61725906,264614434,478226797,499260797,50283236,191110597,170043175,320523159,419868584,39644528,441069111,310429390,67527372,290294102,207561787,600396207,186184767,309385442,358586773,9248466,175476237,467845475,243771467,54059680,590539041,460613676,420073823,58128815,354405968,83135494,260407936,334384265,301275861,390689470,230737551,386168539,232597886,227683658,192646134,23458814,499229138,193232163,315693356,347418425,255499966,572412506,585190880,333892290,137904053,411186939,329094432,530455634,230240024,199325506,478009832,373598702,265419290,141272816,89423150,160959066,95705434,279324364,533983594,196691935,416282555,356645852,177573900,513803086,435320192,55033039,275307202,341261948,10983795,116931922,437633361,274350811,591628246,249914482,324097543,629222457,82351165,259023099,369577156,545828457,232334159,362385234,529862971,555596189,471795999,54805636,200481690,76897692,435474281,304826926,106043492,581388988,72932184,247878879,21895755,42022198,162007525,540433633,476569187,404172859,471256595,430749927,516593451,164036898,574207870,508404064,184164496,136873639,416767968,204340514,220086380,7791309,173781929,393862265,158074966,337977003,344241989,204237912,565329847,124812626,575951150,337407574,326318146,632419712,54468584,421628422,342128420,216863731,494797144,350499253,384804836,457510661,132820329,93326058,41798185,70028276,382711764,162698238,397263973,146938366,146874890,360247704,377746649,254118758,31015408,500113794,237776063,330619038,100372374,90471537,188560092,276899721,616453020,359238353,618936471,75562088,64121558,171855834,302363988,319895589,379153361,147652941,186091904,293275012,49030214,356791449,620383830,167488069,160301200,341862192,131241365,475411926,87263559,305637694,176472931,389562855,159529304,173989061,240202347,353890347,83441248,396790806,532470079,33557086,193675587,627777475,490182502,285799158,138011832,499556076,617747068,13470592,65606212,352503906,573066619,406953574,433492690,4180960,220848687,552942674,443671260,439464409,13463414,400742686,1,361261178,109038416,561383565,278963363,263670765,328621259,35818889,281267209,498200852,227788510,235708160,283782289,33376688,26136106,14854421,107116985,613243233,286135660,519754870,577372688,99977015,364203361,203939846,518359375,359666584,582581963,59157480,429202435,223883328,538638089,110910635,69224582,412371085,123995404,134764963,566957800,537651325,194424828,558660377,260640745,588848021,9834421,168129125,603716438,150918050,157279716,175802065,203579383,112903256,38334938,492194818,297930483,98969052,179216873,398962101,612651001,210703215,445965433,153474254,417888662,284254975,560520792,523088435,257040804,387607332,424007134,343620218,568315767,74399854,345755672,481848893,465558037,117221977,389755499,625319803,504152934,82320324,434526779,589025088,134697561,276279111,257895014,5468690,297108844,629223352,116753594,552310420,426433546,490486227,502891763,12133772,532370391,210464780,474277136,406277069,295572069,332504952,316974691,562766844,525013274,247104137,451297074,511832895,110253441,75297252,532518858,412928725,487265556,596871573,333293741,265088703,312727657,279160906,216360264,273053568,448659213,550417946,128301557,441504489,527675882,169735832,202602,324143948,65483246,597435253,559434938,216974907,155408660,616153794,248255849,114330525,298729174,457943715,51817034,508242886,17304329,154359624,322234270,110600615,636951608,570047691,582301134,483764611,19089036,22818159,561761370,521358684,105743386,500014298,363230872,246733246,366603446,229730533,92649083,18088259,465368612,207617774,429060656,189466149,120176290,456609984,613525974,239106513,593939347,600854568,395528172,198094217,222549993,78323983,118464578,133584309,401908767,624323880,252652845,287670028,202667416,107193746,317771427,623565762,454508221,621627006,3498721,526053993,148979016,372228979,102467895,440001845,87483041,178065472,24058475,575320386,617684258,121094474,118678413,420924310,79342724,400706071,577221780,468114967,28701636,94532199,611884577,313887578,466026880,270630254,259974308,405015709,329109033,607491552,594471201,529323749,444506566,216527784,156950326,316704283,427893272,99849413,383507822,614987194,460018887,482166911,267931014,389520060,3762577,45715606,483954368,540852877,120220473,309993328,268788447,447030055,462983551,600803158,561768561,583133018,293113855,604518355,348693175,62623360,434040439,544247932,175043350,48875707,284925403,69919911,404674264,376357536,287984499,132350634,408667576,397168568,454060314,610607527,472933583,209381506,608230033,98261612,332549378,29415624,419801617,212265197,564774274,372441328,270434431,352409632,349170350,449220295,198698570,129588084,218122682,529587211,444190135,422459761,308336766,145881291,549542113,67075775,606215079,464546878,512722705,452694274,86105131,495355213,142285698,235903254,432568465,374707106,545500471,271925454,379043943,338977314,557679339,486855882,19629404,127742813,304903941,525238546,423803323,40505367,495019466,453534137,45750808,374928355,226794871,359159978,626177422,548527744,447010070,268853735,292871570,73884378,517257845,243711364,478098657,287907301,431201743,150454376,259903159,536763126,242766654,495025963,418658739,222157017,362425034,285456161,571057851,52028547,192484149,60217446,46244728,568823574,332217870,599385330,319306451,636156078,301101947,80309131,28144642,225367697,134437401,306742795,472934693,144211254,553899901,151433325,413535547,602719521,376876556,215328624,575182252,586955419,206229234,368510679,489958004,460810240,577250626,500376313,255821408,369712982,169626175,512041870,519697944,518913094,213443022,234276651,166952201,509237519,522148489,42687841,311791985,626978371,605729075,460212586,112182248,296096207,607898334,370767025,611414926,281355503,456182333,392459675,124911476,499434776,493075790,246222600,165684341,396288170,1645489,60216876,384598078,586867376,480391013}

453765517

Returns: 498
153900

{26610351,53325881,32445988,40317548,53346030,58414099,24399789,25376926,77522240,24212764,37694946,48246228,47302632,11629322,55681656,568918,67056893,47157993,1573384,21337478,31785575,51847778,43744593,23980804,49668473,42009906,50975133,28035855,71277042,77157769,29688505,73059864,16392055,62560816,7410327,37241604,12474594,16354622,23625314,12488407,21383063,4009038,31200640,61395444,16556281,56017282,77754706,47745356,13135139,69203052,34449496,30309913,52891312,31196780,34989468,53511908,72917401,63780314,8383927,1155977,52680402,74289601,26796948,71623216,69307009,35552382,38012208,60632756,60429537,60471589,20889191,46040543,76317569,72282048,5580682,54528349,54732952,61985964,56103729,23170828,19001125,17889652,56624487,44122859,4565048,16562869,8572216,15360151,70573056,67598273,36965387,8309860,38229719,4605332,25472188,49935596,46575200,43682355,1794772,21705058,45049183,9962456,76676589,7599303,41990924,1747704,1231118,58709065,19649038,7171695,56746177,40393487,64477646,66765954,10989323,12224383,43056471,24914174,28460023,43450495,28109359,36794761,35769723,5054832,32131686,21980816,4908441,18600060,3096295,12189473,19443755,9236827,52092784,51291873,69443276,35895902,53935858,68781630,55021787,50888379,6467590,56368371,68870464,5241100,33133207,45689573,58825394,75486502,14564879,45536525,32223604,47389617,188413,67508131,59822053,78093213,26410585,56614906,11309186,47641630,72447028,32668471,30953401,59454906,72884538,62300432,66328534,59624225,4141029,22984635,18066171,64641255,31460309,29023193,71783013,59966359,21000244,14840975,33293039,27594217,51399220,35983349,43982233,39965039,18785415,77238719,63353270,65354406,50655326,633535,14232780,17180767,25070082,13023662,67174080,21712800,42405013,59131815,51079959,39060122,20260001,70098503,5831893,23950925,3713811,11975882,1840296,54164978,40699409,23510133,61663884,75603562,41200183,75368526,38102329,73465073,13584051,52221159,57686224,15533146,23316500,29680286,29125347,56698332,59292595,71069397,10618778,28745866,34547437,39159160,58368647,54232815,68236137,10262177,30436407,41033320,5353524,61975521,30712119,78442346,76691437,30647298,16234606,68468290,39624973,60259533,66796437,74910304,17410007,22632827,71771570,22761537,72759492,44634552,48779836,46203552,14621333,6334945,34318296,11710422,65042710,59087985,58169103,9790392,19624736,5725196,73759511,9052598,56251303,41163767,57525594,27989347,40616375,26682807,65048499,38078691,22447260,52964317,65635696,34099903,22302487,62018426,26139759,48825364,15471156,18075432,69616684,19162868,40818617,18697852,42147958,21025021,3367998,9520518,58054154,54432145,35203102,3664516,75190766,36233558,28494564,35113670,7719628,31825583,47694955,76440293,7894228,43241318,53840306,15070625,13868893,481160,47348116,25491270,20079908,60705280,7882978,2411209,61618702,52556742,44446744,49828023,44899073,56891136,63878092,67799801,42827076,27498179,1,48138887,13627509,61458772,6201655,49035695,67747418,24777712,68862261,13642753,41981923,5052001,9826227,62795290,48599335,74794659,75941041,10789823,32841065,60010350,2859518,46963955,4230569,9174561,16093824,32957562,71268321,8281994,40164457,2580128,11861041,64495583,70384757,33122529,10308355,25892180,46499403,69105254,9599389,33982283,35494512,50585938,27734217,36152669,75048101,62618032,17773265,3127706,24931107,49443832,44878681,36511764,64453126,55555040,27037480,10434505,2879809,62473850,49335641,15782279,33593538,32570402,29264407,55848605,19939405,77784080,37131901,11412466,70610110,74031218,17174012,45270068,20571127,18200865,33791545,20018795,63462684,42676071,987411,17664663,13442880,66573563,41292020,65677039,31432175,14395859,39268593,70548431,61196843,65649323,27369941,46819981,38745739,7345525,75590419,74252475,39453778,55092408,68028726,6239174,57640089,67389441,302535,64105902,68244633,26302528,46382605,38571037,76157560,39161003,38830450,27199266,71519079,15651945,52393347,13084906,3878836,6975154,73676890,28298509,73152780,63476518,45789437,8756658,49942736,36801788,16732652,21691468,53163128,62437625,54088897,48893498,2653276,23673206,50477974,1747910,29119981,43005386,41179731,72258159,77851493,37705843,76520077,55223972,77093532,25590557,22070690,43961980,44497360,66468204,20174437,10580931,51915922,29811391,76759793,57303732,14991049,70101569,69605055,19355347,36260534,1082571,41787974,70437584,30531954,73843235,145376,24583714,74492663,34423163,29505687,5806853,34861443,6296885,57787486,50294459,12777995,51657529,65851682,45975085,65101124,60217980,63242549}

15934526

Returns: 105
1472946

{314125135,414233596,366417564,795749857,66976531,620429859,13864033,654112280,698205471,264018538,618872857,460350544,704338198,211900397,740794960,344585918,7615260,69856411,497162534,414646384,687121074,311867958,25809812,676022122,711154706,607929320,401386016,253852070,139971552,94018931,188515321,422317104,535637043,136861127,204574176,75266759,115854223,368553413,768789768,296003939,592886256,701241686,487182848,652593162,193198388,216014740,58217866,285545907,687308965,259394662,207375460,544407084,59501939,541742525,232214844,57181473,276159195,280532101,183716849,356589146,706639528,631156716,25394972,218809733,446213386,300872828,88792234,373592457,134780282,34278914,505557527,383203780,489440171,176959130,45456066,602673503,124744937,622459259,175187054,95465701,5204269,34981039,149696201,412490709,758633013,474286059,241876144,693688504,407743408,570864645,45108831,17018491,13190336,285264094,466407663,597351153,153545761,550643255,357883351,263605859,672207860,469803583,542991832,550176612,793952514,664265438,564941199,97168454,133103758,217976452,98847790,388511720,561554616,416164445,478450824,65440946,227012885,224027062,578457803,326393547,15891707,754657993,734580817,463969006,614415691,50249926,194272717,91220376,750544640,396140611,598444698,332182505,141766476,492492897,450930877,553706803,472021931,476817084,57573989,223114916,91685206,440529442,628945713,389648418,429706367,772021307,37572769,258835826,693446643,117510604,317682928,356275983,556540007,510079842,524120597,655963119,764127803,419264943,493036406,408443401,157353859,504148373,734839628,536124035,546984557,617129613,680588620,832653,290140851,598717866,451118592,528619576,713250703,68412996,774429858,582361373,594913089,335009905,127201180,101867682,53547170,567909073,409405190,558122682,532772919,683583353,3769545,644552116,577404283,785701420,717375019,18365178,175508091,251394329,73285690,780265229,349531450,279666977,688630682,433645357,96794172,113704171,519487573,737216003,11564011,51605310,103692994,318778880,404464101,106851181,7268974,117730971,105472280,623893804,530440677,493039665,729436298,392895607,793618547,482139840,443180737,702369581,84689432,587538435,424646905,573997042,297622760,63521807,49823050,591966834,307074546,105777602,201628002,567484318,398732818,553634256,685815165,267684286,206270614,322689492,600637935,504906342,626567984,456635137,377140499,330509432,596606660,479028006,81173100,568282172,229342279,649376479,168824894,595147663,455222012,353534948,137270759,955836,499204502,319810483,31498382,244073561,432538567,584716205,498140854,361087613,464541934,270340141,74683416,107572878,420301345,658954116,88103253,209625326,649135970,335188451,372610807,776955160,287245315,375099954,764434259,179342535,742073159,586121139,540796855,348782963,239631710,146258234,323275928,81137051,334855182,358302902,517992883,766964782,790771845,485641412,690377647,155662697,249397062,293113791,291454800,726729653,19329924,305546308,273001974,515452215,347208354,612697353,184760276,123584252,197416524,395058634,139601162,59720702,150464157,269788915,126877242,705242838,112663172,548860188,299891895,617413802,731610001,755874825,758687131,198534605,580874928,16858253,474788264,340906135,217581571,634833463,480927391,519338465,23883923,304804611,159994432,663788748,283700212,551423548,579721869,490500668,426024060,769290473,521734754,246947477,373625043,646448777,94944145,610958991,623496872,687871243,161784247,753018778,466639783,294493861,31503821,44102474,746047155,691951096,563372093,163125109,367542699,125935811,377998230,503107000,306837684,379148550,40512455,743330587,38930360,536153482,278221722,789863896,442908798,255774784,752643007,237008765,386196751,744589558,272414028,233320640,484123646,391510831,202581621,637746496,192134291,315535953,359071337,268050476,524474093,787663066,762336446,393668613,530183131,736381186,604881816,131368390,486350782,150496762,30183835,347880646,446511299,428357671,9753595,298375390,662985969,345716287,1,162687522,246699387,674734022,435491423,768919863,756753667,330996181,73277223,638204680,203786895,576922245,783434736,162582687,467886541,163562810,412216449,719283569,168655285,506863313,226849657,157950874,403201546,77591074,608807125,335641698,426750977,371151832,638617637,526889331,440263555,699281782,191914178,671612084,233311638,560986149,223390855,180451390,259899841,533679842,457624493,147182822,733363954,343620499,631804924,565212357,498298869,182625464,279778239,744763017,654767849,459979919,66407581,505596780,629274775,437809915,717290373,179719571,384585130,23422630,714480536,28931329,329005999,212904831,378775542,295124717,86588750,641664311,34224566,540570030,129742697,235969612,694477683,121042311,309526694,679328152,140427945,332095518,188973990,321187022,664335640,570926450,403193064,744573300,397221787,250149652,188712924,611042738,105093219,241159702,48030031,719219687,678998668,651184231,636095533,724468779,720558710,119714911,662646085,673853855,641610137,682938670,725560047,774007018,361834925,446995035,454993545,168640225,798087843,659248289,220138716,447174369,263426629,50137338,728258450,243294905,590443759,785069292,669141737,145572270,214642898,647570292,170407874,73928235,423165792,779128743,437237543,784421189,507108041,510496493,249306743,308541085,782067822,323641333,710874865}

677984082

Returns: 461
1592528

{726334958,727906412,480165178,407117075,801124174,587064466,741828024,578445189,776540418,93623950,767523090,117867394,579699630,205609440,845625042,415369811,627257220,743987239,8845094,141817910,479461330,735067789,835350907,1541353,641008052,323458403,645605685,379197910,139695564,189296180,799041097,625782412,247895899,317544994,709666926,633543577,166696043,818287953,90405724,60443348,37741108,766947335,760602990,739662138,637880158,664324431,597109589,240469132,65631395,347292227,647829037,791021715,567913936,302376172,528946321,691156025,546060254,550148961,520820063,35407048,509348861,594615387,727892570,259856485,463063405,433955263,666300927,377516444,774204249,329475902,116731285,609299952,602804520,115392622,373749248,36322856,303099604,400972870,681228222,239115586,472846518,391962529,200165663,461700970,355606959,463501132,717767232,280189370,68143434,181309983,802056382,87418920,50189613,345873282,584430141,71996392,330114360,810981471,431836896,830339914,712462678,700047634,439270753,512482165,149202134,816489090,443627256,516566270,470082226,186311190,507638058,779606854,688006764,725541719,477213888,559511423,840309236,26244880,111910682,628312735,550637462,402043900,128493037,751528723,273417483,557434344,574216025,652979331,84213995,126449710,488987081,54312780,198221650,121574367,540265940,297412340,675226011,520745157,572346213,322273749,825603892,154747684,781124787,683199903,666233665,515840294,363503261,352389629,548339745,706906162,650535328,589096996,835953232,228963463,262387393,101443923,386558139,104096980,361717951,750238733,339153947,679334281,829573587,785944026,173913288,307997028,231758846,814010028,382195907,190789509,149804680,444124806,543361666,170188921,342469802,657173177,141224923,63907594,388727879,393739178,191283611,108340229,273737166,635885611,331986239,367465279,604440004,103284309,1,623403934,584361155,673321498,791396905,123417918,844041499,635009996,425133738,812210408,264408962,158979533,305107842,333847579,683153585,28454052,554465016,402778233,706975048,673572545,562051590,394805771,383097340,179081811,258874254,592409781,830004057,288822589,745125587,147459764,529856843,744671946,671565932,266639990,3360139,407558634,538574811,375239888,614579694,481495419,104799076,321453581,259721348,410043902,773804833,460940872,283949069,498978032,534853945,840018444,217868149,606429035,39621436,12716989,182428366,238116547,130350909,492322992,280745870,720076659,12746982,143569452,451707484,629653277,731522532,21354294,197314379,784009414,696678524,462539043,437122626,693999513,430751964,692822415,561711942,525139984,325931137,580864392,220569861,60032154,11119674,300987711,788749059,30957760,309588784,518403509,339309438,601548483,32953673,57312838,126109973,212527782,270505818,107994615,260236314,501631672,649990369,387921042,224194216,712436560,289803240,485436191,509651541,615106376,730658399,497882496,544441142,15044108,695105535,749684873,438593457,569287039,413898337,505338155,94613822,454804367,660538288,455914536,314775777,659299306,222047755,156369373,341627712,202943710,738722868,240883048,93281921,76343363,135729795,719652264,205121890,50816377,144367741,420374806,571127203,217913068,276196739,246145528,368284923,252090031,70185161,214459302,824825636,398318138,536390976,423267424,759679002,666082417,454250669,114643904,351463043,677705032,60023745,17892466,605016285,433966272,663540222,459709736,5856932,611453544,78875542,762000558,752520415,574324461,14853831,337357318,541937041,724288604,428700067,592960939,698091669,448635530,345307322,840398858,176240016,589191381,625545336,371166746,162045903,504551278,813541486,231356263,514344945,173380822,47267368,644162906,787464729,792702956,189096643,599433685,285066834,360397961,296925600,22071883,802515146,86088493,501569736,758291790,155169498,483220820,415824102,565202809,814774203,319760985,43687240,233878925,804223780,310696712,250044721,133687934,417237970,80873618,354774610,699956162,461596911,564061014,697260618,772271720,369976388,474191697,713538254,452050771,728284418,646316695,71790713,383332459,242049212,257746524,293441127,619502180,165262995,185156488,610478475,803753400,391216914,810180236,426074556,249540137,105310091,479296367,652472506,99552163,57004290,475666563,572558,170260635,211503716,356956125,37484818,35006229,365175353,177633653,332897367,691135922,134329940,270230945,290968429,163892357,394243214,551293256,124058475,447955837,441205277,90613790,782256717,833158826,152837932,287878188,706882287,71959425,642795587,522592545,524948469,687385869,68687046,755263136,184212747,798539162,832220379,226016736,324548591,154312700,795083777,764549360,17835361,312648968,251402815,250186020,634698281,618466723,82774650,496129740,401378214,621120640,491854597,493477904,116932285,230558559,53266591,373619627,44735332,655618509,83469820,573171077,521961184,777768538,226829457,488828043,426705607,209347699,741709095,421328524,822995610,30210333,280276758,556399952,278066400,208158089,535330295,20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92568097

Returns: 59
786428

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130231943

Returns: 169
734357

{129223826,120175100,17388092,144260207,116079118,164094947,7291067,80598509,126747366,163391994,82976603,172505360,50408073,90546064,58290161,1162904,6835191,103358729,36497603,169726908,21337587,19494799,83015079,118141000,124041180,1,22534112,53848959,100735805,4100452,138688821,109635810,5235684,129025849,111361932,36732337,86738880,40727132,94111916,29790366,117033828,77104543,148719732,76801602,64751623,133591630,106096692,28635241,114743055,70159440,56300145,47049101,127824036,63088847,18004400,105645205,149614454,34212082,26968995,2176032,41394983,23332634,170967037,122490151,13179083,81543479,68179087,45985556,118725412,46257494,161242365,44642857,62197224,86322021,76037333,171628522,71020194,139877186,89387489,28310343,108703060,58132127,104061793,35246593,147753685,45520910,139720987,95234379,98492580,158846652,101031987,159932302,103809210,10547555,96210639,41222903,107560901,30237889,111789541,152826808,125716890,120315463,49312138,129578055,40085116,369814,13620780,166947034,49957832,23166465,168492358,145268282,37089789,143366919,38315461,137016498,54152960,32691159,81927474,158244122,39352165,148806836,129243559,155434366,163581200,138950068,62758261,113300071,93061325,165355037,72672405,16188592,117696946,56150236,160180893,151172433,110875643,2576950,25512406,65962405,21235145,60590081,107185429,25274119,98352871,135914705,20243781,7817272,125559285,130640743,4650295,53048513,93430347,152706377,39856483,51262906,28216714,30818003,169412322,121144571,73805054,73116801,52340764,42120376,133409280,57381986,89815512,123609732,73938213,67528100,75350354,134803135,144814087,8525702,11172495,124839618,54009348,22934259,100597505,79436118,33389750,156795017,115908234,66171303,87707641,86865095,150916317,69735101,135524710,154766729,144942071,123259594,79285743,7546831,99754793,132160891,167772417,67062388,136879295,45659878,78318495,59827770,112613773,95012272,27649974,82127744,83025214,5340736,15980434,97396269,60858053,110771854,157754825,12429069,162404765,10694330,154881001,87634162,169929561,3045922,141719187,18722707,161504530,147162745,102682238,64590295,80752475,108567528,91172756,47061959,143083502,71803202,142001307,35714473,160299680,151857613,14944673}

167402689

Returns: 229
513481

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243571360

Returns: 475
4655951

{542129859,36104811,691271080,324561778,65616378,116393878,15626180,675280818,559185027,510670762,837049779,881469090,153855479,820557216,279934670,414233378,620977841,901992587,547462018,56534716,768674712,471939382,494217709,13671308,855780584,707394274,488130238,610393262,202716584,691018324,743259326,134922759,651304199,246729178,137581215,68588440,512077204,4307449,408421257,749207171,880169114,611112909,567219135,680365923,658852645,557853514,764719869,550607776,866506260,873791168,821485008,23787395,539005741,776492130,570055830,686164965,658535802,93159365,73324380,755979208,78396558,731724823,492466278,882224322,107596176,809507857,737212459,153729648,463381300,22748936,631590370,745743989,120648212,287324896,502012795,335341214,372876406,391071187,860573892,451138771,569918012,386842849,92283994,580316858,519444391,161324378,268673609,605168652,870251493,275987038,619015496,439563942,701899653,205780095,790195218,402468820,453378854,646422829,213292931,153468697,291580688,841034212,309393536,53696560,666494482,441934696,307682520,509723221,383957381,915771742,196780398,422087316,858222618,39411676,721142608,124772946,903078658,145757085,328778564,209476449,587557842,799018828,412781997,712329031,629919967,212389823,298965688,1,912273914,200918118,371780920,829575763,849851154,168464009,466514748,248422051,416230131,49920915,360782309,177411554,119776034,599472781,263713561,806742031,802714249,432067194,881558594,8526610,176294905,234010147,165509812,250031048,298778105,353502809,106077984,759210580,269928393,725933399,671495096,171063117,847140839,55050966,322043338,257128300,340540840,211457361,137041502,483451173,709321820,779312657,319839157,460348616,529736311,389036570,44343741,530445929,605360119,192606551,595600757,381407271,778613349,17223445,584860209,633606647,813680985,9771469,297444587,433359455,237960723,727373538,337247199,432111300,351786431,503596179,648235093,782651255,96528973,366783784}

233262232

Returns: 51
1421140

{205688702,321079112,689247313,461842931,627613474,58179845,522929451,339983485,290861257,58826690,667292455,122911806,252202802,528770103,287488666,142832798,279309366,206863685,357280000,529319957,404354245,219576509,559808025,584842726,544983286,451841752,175464218,250718015,605028716,674420225,511371083,247189128,420837367,109378018,431425127,475014992,296566703,281460611,513880949,395792262,254760463,458605945,39630478,536933632,570667238,320478121,424338422,541677658,87937551,64505734,173633992,264164938,101707868,591086831,101305543,509913552,176607023,159991069,321539606,618554565,68976333,658807469,392223763,105672255,340022086,178700822,551793788,465961248,629055388,336306831,192230532,515428164,410286192,41111621,235139856,643671956,127136695,526512496,275025716,23839670,372139887,640854468,422363133,45718495,571428595,427707234,654826384,135958368,564413752,470086308,505564971,40715267,156299302,681258760,363769721,351944043,347643887,185911338,472949317,98858970,244211659,452611171,169113936,365314661,389963211,8696276,371318506,682386621,259652982,566757276,518538516,278512726,36540354,502608065,253043946,37753649,147588564,216668000,364754549,354625978,13086396,187348808,125001864,603857674,95129739,506696624,2239702,519897462,478883504,314798393,541372534,218853576,401691692,480041312,30230391,618522579,432265625,574553963,646737309,27737041,550817922,240222227,332643414,579655536,176884515,420206610,661299842,221538313,490187396,312460503,575791060,393358558,669104857,269595872,89912298,498029028,140834017,204589648,675532699,499332174,439754609,70887694,252674416,54547624,144315980,324307222,481105908,74979492,412657315,181373155,82133842,240090586,297677364,30649935,394747026,405878659,359725370,292425129,246307115,409698107,642909075,349520716,195418807,609561827,198944299,615186270,563490597,60395822,436688248,596798760,287648289,406563010,96879473,192902372,426830461,23415411,626922038,597147231,209713017,76866557,373882909,600197974,74848201,162484470,67852039,388282648,204672169,512348781,161267161,181707667,231867313,455782784,378326046,236341657,306189003,537787398,433696750,29587180,587689914,205548176,128745660,423152409,600167795,94698354,7816842,133935708,279577343,383275811,464228448,222207938,626262554,496023297,302366065,693259814,157465266,161849397,646177766,447331458,257680918,7156046,617884297,637027731,534294518,245031569,26545897,491671422,150804150,281732551,662239594,215852139,318132034,4172626,355610413,145229974,151300366,131632560,212690484,60410113,13108876,400419087,660653729,57783957,552055627,313545948,688315393,686036859,683666891,415793038,442468284,149726401,639983063,482538171,170997549,261342571,508500357,32220816,485240533,564024699,69451589,625119543,202433029,199780038,632389386,638412537,229476110,18653343,225905096,426057385,274550475,488688291,21707420,594662213,490749509,690546143,345281695,473774717,618080795,443953440,647306753,86069951,283542522,615544083,665146424,209859917,4060407,231285395,43442743,365026092,543780484,198375191,346194198,236176532,654885499,338566924,592965727,264522364,635803223,405374592,349298173,226830732,329582323,572007274,458395407,298878656,329941219,623030164,160892933,52243265,335170358,398688646,604667108,672930779,561326736,579488938,126201852,402746634,592342501,383030158,495813179,413053096,664761978,582376517,79824750,366631814,309114441,43163978,383291802,69605647,462429688,387107829,675124552,293816734,339707887,324583141,304754150,446110274,616563647,382279173,558369557,156460932,554770263,337452697,307919546,271044450,131961994,532669181,537759622,497948966,111803793,121407616,440877156,446635299,689239721,220110576,225545374,97471033,564501858,189665006,2975127,232728897,457567484,541912492,466931013,437052396,650267347,492613390,295095437,263625287,64801206,587677098,434359773,684796532,49490112,466519346,484985271,103082907,471585187,8876823,680620446,56256870,606984686,137911750,310820860,583677587,115100829,1391813,672081922,503679830,93767813,484231281,669526474,361102433,377958576,525216531,107631459,286334016,576986044,42257006,352693787,584955358,49889509,364988930,528490483,316854329,186645613,88784616,272968151,171820399,592370342,167243911,119160490,450197977,673791666,326757921,450171360,117559310,319169739,177927996,112522512,70576689,476185944,148762076,267073020,110509311,409963145,195828314,133587491,634020986,561645921,249033315,115298059,302450127,380755790,612904341,372423193,154860788,242887877,552492232,535301037,16871189,519505762,354103635,50779221,18390888,80201063,419024842,652115985,119548502,265886305,84384649,90685092,259928626,646596167,516800107,165531635,35339600,140197265,599279387,519185880,546679216,301060302,130321737,547584466,191622401,606075874,397195657,653732322,332074044,1,16151958}

659368761

Returns: 465
1101501

{268585320,181442004,87243822,1887792,53031797,350015071,273076302,397449216,35353587,328411423,35650006,168043433,74832414,217832847,413224688,64024854,10658600,226288307,117370192,273354269,247207970,24884501,71125393,417209690,379917605,187974470,311819244,93033631,173351424,103477402,34763335,222474032,39073872,57776294,372511456,59761578,165193055,390495115,333771402,394173529,63861163,203351963,237184036,394064709,419968593,97546396,196015960,345282084,94477647,360492518,276019883,40121284,108707906,303923002,16077168,145438684,101406468,91189367,426095061,359318525,85393601,325691227,157828386,32834222,177893574,21498514,342387428,69999973,249045422,175596743,415987499,236348158,411367198,41519005,278811152,430539514,163803033,146683465,252075221,239510931,202189067,377172270,278217154,11057618,263245225,259861632,227050341,244319062,294683802,123951269,300491731,285961883,101599806,170542505,437644993,125216726,209027833,367236262,183713191,130284124,81201651,194586989,124531545,30791205,113389278,218463471,216321468,267310269,171744288,254785240,190990680,155780083,229943652,355646469,262872985,197041517,402024894,193209192,46002985,210573044,210279360,236905322,338639069,261984088,179835802,45131699,282407370,407485989,399988297,333804248,201486709,254519623,100102955,270941798,142628692,368144653,435748183,321116231,128314206,347845879,412659745,431605091,322095523,139088314,166133539,330921321,144023231,271510957,405010135,292386895,29034714,363183090,235526626,230333031,52752725,435469917,256911015,323936348,330194984,46423622,199237014,106625809,68752640,299350288,164462193,380472453,417821529,133023583,184301922,76133486,147079440,178698239,16659847,388150041,173344655,203299738,67283362,262780267,323712056,233210850,77224644,294945058,205738915,157376443,116199597,136446123,432700474,232303890,247664126,315807610,419952847,71949759,350197255,421049741,88936736,398147318,293683079,387274112,386385425,35283655,51855579,167272509,401481414,237150640,121181591,110127166,187505400,340903304,37158155,212375974,314538058,134361161,7172971,148090239,401920554,399143317,284296270,227063136,49151765,5583073,207371414,384814275,258527012,243102193,375491002,73652946,153864446,86807898,50620250,182923902,321985647,282027701,23112731,298490940,374063538,367979396,175340346,13615592,371516851,223540519,404370924,367735805,301880901,12517454,161950189,120583283,381775685,429276362,433693583,377782297,288355818,254275934,409167699,344503656,69518829,225143377,53655463,214008971,356232125,199397883,419311187,359805921,84153156,381604297,242604846,16472201,65652841,44245184,336875205,395325917,28572127,2444902,159319797,309288916,384185437,224040518,352995465,113355688,23909354,251574844,123332218,50642596,57028096,330407965,57598950,287050773,13196248,31485365,358081583,81502426,427293791,76634486,326076469,249083951,296269666,410391842,303673407,365836033,309042613,291836998,352104765,347814027,219952540,76368693,1767292,551526,100488678,131719845,342681351,362779359,5017022,332238612,81260188,246587042,42971070,158543373,318332863,423980441,211075763,337693182,338046015,96702014,94581779,215090512,118828861,115020394,308114508,425042732,112114293,182456678,129412403,356022823,172610415,151188384,289286886,273021621,159827717,432167321,290034648,19986113,117977726,24994829,320205739,275174066,306832808,102173694,136489433,188115197,301002125,186257990,311924488,392165233,311609583,126830993,233289446,58464420,369472235,425801146,189050968,92409920,315924878,204078120,269829759,274750830,237420499,305690205,106246571,86316226,32913422,153767436,438398233,414572786,389913910,62769254,340919041,364381684,144153210,351975967,8010196,92739017,151241291,141934954,260155743,6513658,390542227,148355226,318632147,66524507,109274156,1,407497329,131531929,216098913,25251936,17546196,280758953,138580210,139069965,197387467,260558675}

307307748

Returns: 280
291708

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20617360

Returns: 72
251721

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166579600

Returns: 663
22751

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1199929

Returns: 54
627225

{265379095,164683640,269096849,291813581,259886722,299059666,47107230,24164283,1767473,286297011,278663020,227767566,210356157,246444301,207085073,56269134,243306831,34340479,293866751,275897973,103546867,182981392,224342175,196980461,98865985,249254348,186071984,192366858,96471681,163603197,264948268,36888069,275124862,102545723,36185876,81883817,128682100,58656879,1135593,223018468,294489237,22350149,139663323,13440726,32003770,46552457,95379825,82720921,230075554,232545720,177701924,25544773,42697317,174002638,281266715,272573507,247331645,136440454,284447364,112289890,129586203,19741084,197499433,240604189,202689731,127723178,295282008,53999124,1979696,255703234,234557531,123709291,247616080,293776101,228869435,258175861,2856759,3660520,250135753,125117984,31691966,205239595,8277050,86641994,232359054,55216738,20070666,181781474,246102781,37094871,109629285,131534348,256851255,300094956,182764062,189107625,190503350,83999984,126892347,307933651,140631865,263746406,39546493,182839404,25845317,286826156,242518934,175532158,56166062,9201548,53396098,151337851,149033470,190833128,267538137,79567340,236396187,117926384,116720067,130866335,213086551,15669336,203520292,1,52795215,29376535,96817337,194935339,42100086,21379061,104656974,66306841,236493999,6162738,180292550,170555,65519505,300334982,219718741,123475558,136633377,157398623,31660168,304907847,10396104,226607157,62998004,68670531,212651653,281346453,135254089,157078088,49492500,119373880,290501915,154906442,297566651,284820146,280967553,54602194,236145057,296518506,263180112,108705810,202405363,157827895,302714284,268706711,164584322,140487959,201899367,263953959,110435798,210966118,160532204,166819047,101762539,76481957,114807746,11070125,176884398,281931601,273959761,92177887,119798205,85434475,105000283,44245668,299550854,75465701,39738118,209188219,21280364,216810708,61116868,194674515,18043365,83949729,107682362,167542462,259497616,271609710,29711174,111283733,44982052,239051727,99542372,142632482,150210053,229618968,115075217,211712220,280312268,186207956,292804991,309641154,252412369,77961086,168056419,12554840,183543425,48574207,120833536,4223358,220935153,250682385,249726809,98613187,80866265,225428824,286462264,82934881,238391260,4334553,236776038,296437323,86332266,268590169,98252165,89651042,101582497,142249923,168223348,166179939,200588989,138406310,156586526,129898069,107030659,181175878,94550174,147435177,162150786,61328487,195538424,231342506,147176397,68259151,222391615,141768794,306181945,105676000,16104854,103479717,182386951,161385116,63490660,173453359,242057962,306482392,285953739,305521433,155958624,132913946,198479667,45873282,147367004,8359993,14383100,49515766,206993243,33407456,84134313,130647159,162043350,277237519,291984152,149985708,283604588,71104323,92601938,23743990,128519945,221815668,203472896,6849116,263615193,112001746,11472134,191910318,68531674,141499326,25082476,13772832,122257580,57921323,274193171,145852194,275073007,304559226,60657928,58590357,146475759,121733323,126548118,186271645,109612068,269149248,111517536,7397990,118296036,244547765,254059063,188760316,15828535,157750030,72297834,233705360,162956380,277519863,117193497,91380322,129116502,77365311,57534087,270446197,289598686,214038738,280858903,235428950,70916943,207467479,28573466,40263935,46815727,120064343,42011243,58359303,242780561,188973458,16673488,77217340,144366061,227105130,22754575,93887276,303633956,300245442,290113425,106995746,198324239,216279739,19022573,247530539,115139861,229428956,235118800,275771414,51952755,80204363,11416293,18678535,262132357,100340705,153942388,241014875,80836421,255245500,185387229,138669434,70015314,31019422,104393572,176865768,173025552,187378571,45293473,49624885,258497215,217449188,251482602,6625417,175966288,287528625,253655674,90792562,25863259,199983037,64994903,152163164,178394214,178852876,289765227,43041841,243803396,37053586,87797606,226416343,216192525,125565061,275671873,37812457,194283477,170453823,124579309,224413303,210082978,49732250,303449112,75241611,92933922,169605294,219121537,66759871,230407707,300384948,215762806,28542475,171953529,137273811,35075125,71438714,160619178,155306482,214969335,210993022,67533409,189769890,206069285,193520461,218205023,304981723,297840844,288367874,202596039,88628807,133650650,144251772,178031208,86886044,4080667,51225810,267510031,68899422,308519836,166179290,86399434,20991729,261075707,74351278,57476514,72875559,35751542,257392877,76791724,38418322,262409260,260020730,157858375,253282042,22404317,205091971,309774951,149152518,171655094,242817930,135995678,133187867,112408527,265717542,220647828,97169100,153356274,152902359,145144755,171223542,63657858,172517213,256049748,196837488,239473423,95086128,112035256,271375564,219754958,200954505}

146747516

Returns: 235
1311998

{477970340,283336021,115796698,140698035,314101221,461361691,90544219,244650441,508597279,314722181,471412078,271057208,519479872,437894852,91639499,231587535,70249208,81149467,228264533,127894236,486914108,113083749,406127537,7448965,329280238,298948724,364375945,380106035,408549161,391639623,428716347,266612580,438976378,365982891,251105676,28249357,170785323,33694243,356316930,252055321,136363259,346919690,187426048,512663944,331979834,52845433,506661097,411556169,27668109,358493440,157365501,522070833,371281317,380613672,74721139,354162355,456133662,8541136,62832393,3126317,162463964,124595057,390677413,261948374,499487894,158075844,223631850,255819107,346207856,275029556,440973823,89129193,524675509,99503811,160121395,141483938,134917278,480732068,203916112,404675034,415605301,40659406,498903214,369898633,305685165,181882387,208450139,152429341,407999836,456164187,331829077,38990095,184221278,431888825,322016290,265031455,416513038,319161631,434876689,291920441,187752786,343457105,165669287,246651297,474064458,233214783,350668514,198078416,284100053,512517405,25942438,304271809,466409215,155231074,445986646,166017646,206178018,12009053,324474489,107790770,139499268,240020957,352875014,47623654,50085659,271981495,325187190,496632046,68961448,77284167,323870504,489489491,182913294,159093219,268720363,194948424,137638267,334410165,510589100,471788117,180327960,229006701,287690295,272173904,374758359,242894838,33221037,111788191,216025465,69671721,117331519,238032717,20933158,89555569,486295041,196440537,355536027,54280718,82121561,348212379,78510022,515526083,219387505,146857948,402128997,318724911,418598991,14721429,505879149,17288093,410358203,248053986,293951719,133449911,61353659,403671768,72935166,300045650,247909533,335752731,95881023,450199818,97658051,185092084,277912611,339774905,424289349,72152523,467870995,454999259,462386030,198768632,29562590,472296157,18165145,13833616,32691953,444356548,311859449,521944936,216355407,27003823,200379513,211896465,277002751,394057067,189341852,478583674,429661545,484396051,285327628,302625829,130468683,105196867,257820585,354584299,396072947,234466158,320295144,456968789,57483361,296120579,430216107,44184408,214226179,48872533,167150903,154255240,497576528,94603434,523272328,389572253,116934644,170147759,44431522,43213419,339980911,1128811,44426930,451368156,120282751,59551130,412428609,376767958,480175180,336881163,317024810,248983244,430216505,102185152,114557996,412736219,504574111,488951929,360025488,109344586,399179150,481407587,443238675,37988899,67739469,108667333,296834775,470818140,256786960,41222658,313497003,500279263,141746523,191271731,384735358,16044450,488295030,8822340,517676743,264310002,222386608,519629412,374133641,137273001,327381118,278028213,213848928,447730377,256242709,86885832,368366483,86429543,189072250,306159517,344533050,267536136,253345639,142764036,458294544,217986945,514869670,164384182,220752035,81988499,378943564,54725204,295101312,121757319,385910272,106252935,84461693,432514483,125551098,495534741,453183990,235692551,345957787,178297075,382142052,426096906,146527336,230016664,54353367,280333413,410715325,22590224,359176935,259553424,52273739,340162978,474524210,150827017,4270383,268950701,435742351,127969786,492198289,9170677,225843541,201672483,237058641,201328564,79351449,95244377,386287211,262949822,24488288,1,393599213,336321369,30945594,290835934,360079203,241605705,420825789,377525290,204810557,20625611,293012680,91549698,304871,502204976,168432944,126656859,208385803,207488124,449086319,63986890,239457948,225571706,308491247,494533393,175563646,371214263,420650350,366625753,62323313,177047417,144649603,158475207,94533111,398240453,131473974,423653224,468725434,395586256,465738375,306091640,330540272,443896855,307835928,192552525,508658764,92301276,175610013,147626423,427074460,123109872,66088689,172671912,459412703,287308025,369102023,399052176,273205554,4485970}

449231408

Returns: 344
857783

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6203,492423801,86126541,74094805,417009298,308108801,30299824,94817995,156545305,77486335,82782250,382995002,369422550,193293297,527331913,495091065,186224374,467457257,320469609,35328849,336979621,112548996,346097932,219270913,334784106,197865258,183209661,246720897,505851970,282939627,248719421,116638446,422759725,491210956,147480155,64567618,426114821,161629573,443947502,296431495,469629300,158713710,342169295,101152698,408988187,525099817,305773385,205187119,239809484,88297917,232176347,12341068,189379465,219580179,509294859,272705800,406326512,359901266,494901013,249064431,535104418,94016107,112992497,15233224,488305458,350601779,122401409,413255511,191573077,476737183,231507585,463098435,530462320,99095114,211045792,61721244,450799468,437244354,246428234,249366657,533818426,276268749,76551592,442284025,403228266,146664251,141728118,500105147,214183939,377372748,487194798,263963370,48648534,105369969,518761755,458020699,315575700,226661884,199098782,333929250,444737986,56550947,99955974,22971381,307736141,521241030,359074113,208060635,23823635,264774653,387669168,508447700,410891359,210271747,223854668,107660130,283474212,75168582,505456003,487653220,187637200,46369060,332846574,54359497,331971904}

464262182

Returns: 542
192410

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60227188

Returns: 316
2599769

{452921757,771960518,766802859,434295758,853830837,273378165,69567651,324784463,1710562,88467497,829216908,559083004,744778151,854016703,278268360,581475882,195756328,140994332,217463231,289974730,584419048,708387810,81967080,482109235,505343541,418547806,230718485,794849477,300481837,723493397,388847516,85435606,546382720,467758373,758434862,155454150,283020746,282215381,528580827,122549051,58004760,186744788,470120051,618013013,222135928,628691000,161122264,73980107,228351421,670602683,775221870,523521823,429126727,330275348,635023869,863152807,42660878,234441403,301888880,482048324,295127500,781376630,837956102,351873955,131109915,577163026,587031747,102396922,390889732,19070299,1,370115637,28115292,721048580,674919888,749449832,474536802,655016273,78489811,599606339,390907630,671724523,857507047,90270782,586559236,115909601,739536062,270071384,477931296,563091828,495699530,43283333,606270256,728699919,719654136,366120457,84876339,573337328,755891972,693593681,38267912,532687043,139276693,57848273,178766338,527981053,3533586,184529593,263783126,618071079,248755201,560845081,759882605,356108615,34871794,312320470,143315997,166053834,209886840,280486264,186880098,457184304,157354510,713397009,652032972,192358562,463722729,542845282,831366227,868952225,700200283,402202764,813795310,699305714,657232696,470220400,419263001,780727273,846558748,32175711,297797023,734049095,104518212,328839305,309716043,361623410,612331443,198550438,251994081,402313740,480326703,77709368,667759572,875931428,270604612,190141852,805295849,774660129,514739335,420756131,802884405,223756717,311826891,724895045,553751871,122001199,9736291,590152239,838187474,34351592,48957896,684750669,326374555,299876024,409487468,731383391,445462293,233588198,376991947,624844726,346706056,348870567,482639919,200640609,153015297,200300614,173991935,90063002,629885113,663803359,836158060,811575884,619530419,334508070,832566277,778431096,71204844,344504109,609501947,404223885,311112772,272394295,317965868,459501563,13945421,64686016,165040794,530596462,412734875,730813242,340470897,50453106,710884518,144988394,56951719,570782890,97675743,495544171,851899337,592670725,104579049,817844031,382606612,824947510,257365727,790254464,171429052,678696212,354808278,177633384,790006979,675948778,336317814,498763845,124757801,136667598,366062445,552968990,129601102,647351640,13636387,424607742,685226291,246124826,700945315,703997296,509104543,867394280,769149225,376962259,536007521,741808049,462402608,759610250,590137145,305777124,837388209,368185789,241603914,399747797,670858849,291468030,517154794,435526502,429987343,750568034,175925705,117851961,506453594,747552088,487365030,853960185,429148465,449351147,412432733,333061762,392729343,254474577,655180577,255734801,148154904,646516888,819758189,717511164,159442221,843280971,24689846,798790379,113996958,423885,63273056,532927300,214737636,266609788,632181514,614478472,569060815,694286814,822148868,220947344,361158960,597501505,101389604,111512138,26353424,643035909,133595838,53518736,451247121,192826579,576076622,869625274,428433978,641171614,616261542,177835021,441122644,600503803,231063158,22668297,521948204,787398252,808829103,253014655,237558093,685822434,660526271,803376365,386477508,556499373,490316375,792719936,550883272,506093192,503862785,379388933,4654578,514690330}

623647350

Returns: 242
69948

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677325

Returns: 11
1225148

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282056136

Returns: 231
482070

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97031380

Returns: 202
867468

{26017720,62127982,56366524,103308891,24508068,7276890,63811529,79310428,116010363,31343703,69533976,65723953,110469053,63083651,49155194,53406534,774491,115360241,47823186,82015103,57504574,38053654,114484580,5805792,17653119,46472707,18561253,108312182,42237764,80411133,92157728,13010546,8027571,60164434,12859844,45277757,105592856,93491350,91035478,90070505,9157470,76221797,70441481,32620070,11249441,55579282,77436285,68932207,100298873,23227750,79273367,43302521,111995851,66787699,76403830,98288704,61002671,43797088,25677800,49876217,91644346,29172497,94111400,72080149,103055890,33947421,9284569,26481900,39890688,100885803,38531623,53292461,87966589,527511,42679245,81511326,37742126,30264846,77597058,31011893,31352298,53062593,61656955,32438178,96687681,11963059,75133460,55451709,51538849,36487148,66513602,85799388,51405518,14954677,27724628,48808198,106646085,97370622,83955506,86037846,99279813,16163123,3495906,74439399,47100402,41099279,86829404,96166249,17143642,5253514,2130627,71987487,99649538,71641717,110294319,67473723,4095163,112264420,109730187,107334768,58341446,30952215,630817,82793219,17678198,16161155,18385923,20998322,14108052,81872777,104124483,1,106812419,94663037,23873525}

113517144

Returns: 132
899080

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312595549

Returns: 349
245183

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82052391

Returns: 2
160111

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107720105

Returns: 2
2140026

{209068604,196882393,423725149,264546532,84360518,359524369,57461806,272446616,439678847,346895056,34240417,142044799,168038587,20841717,308163745,98441197,49481079,272846772,389484733,365786277,181902211,374504551,353104291,332286683,111281353,199022419,63273593,164782003,269145228,147661795,27341653,408744967,29960365,342404161,314009632,385402879,355244317,406604941,221435105,192639617,141241717,38520469,250383043,241426303,154798579,82580214,178834860,15322643,291043537,14979956,259966751,71549347,402324889,151941847,428005201,286763485,449199131,130600731,115561405,331523160,40660495,25680313,343936149,319832759,77905035,284623459,102841831,89881093,171202081,299483408,74839629,281284912,235402861,303883693,206320972,7909996,55640677,429002899,100581223,339007491,316723849,360104161,444630,227213807,60121150,117701431,368084473,119738112,333217672,4280053,78692740,136961665,378784603,188322289,36152612,309187471,12773171,434425279,192024933,442985383,165917424,451545487,1,149801821,214002601,300911092,30276962,395904811,413025019,323031686,220422679,155536518,95767653,322857492,50213286,295323589,346684213,151999322,82823784,424432753,398044837,239682913,391624759,133481348,217722118,363734256,184042237,70620859,398758977,68480833,306023719,6420079,278203381,113177035,190462315,126565475,9719329,237542887,357384343,288399649,49220599,230596797,203696377,414595877,370362537,265814992,438054609,159622244,224702731,453685513,338124109,380924629,404464915,409829712,175482133,348177673,203302471,207590112,262848363,376564855,100777000,145521769,21280542,42800521,123270399,176287183,413487529,445125409,250420600,393322394,185853800,312443797,292806774,121981483,19260235,216142627,245307489,318863875,416931810,43930002,385204681,329564005,63883167,435843098,280343407,370224499,271783303,383064655,233262835,297421770,243091750,130541587,327423979,94161145,201162445,107408893,171644202,107001301,77040937,256803121,414953234,59920729,248243017,45452905,258490950,253864583,447265435,162641977,226235923,432264274,125088409,137276055,90024899}

322987645

Returns: 3
1250654

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391223532

Returns: 6
705027

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574789883

Returns: 5
1781015

{630226156,178101501,121603045,85488721,454392619,904755621,838858066,487237016,60592572,60554511,302233481,473810871,726345514,640125893,594859011,295362629,288524431,317020671,498684201,376742087,422563095,236541491,196372704,805042070,83707706,69750686,30950379,77634721,504027246,137878532,332312354,247561086,867354306,609107131,522580890,653632506,94393796,357984016,415179974,616231191,756931376,748548301,172235063,290728375,625449936,225379271,121109021,822288129,265371236,878700050,613855516,128424681,143039000,431005631,27170040,174586589,685690776,496903186,516494351,62122985,379099938,512932321,580610891,719801730,886945471,862011261,546771606,364611386,345516911,856310953,58199220,746245286,384699241,509370291,245200239,179882516,540365944,283181386,436348676,154249511,824609946,865573291,350859956,470975185,452377811,872697351,54973195,475378256,256837135,116456300,578829876,617380538,147824246,695511045,144876524,687471791,90831766,464329600,268933266,553820320,17810151,14248121,320299183,391823301,412659081,414976496,853106186,427443601,710624986,627037993,385205242,505552360,768960632,49868421,570281678,149666143,453283946,792551676,558748136,650070476,137138156,815704871,776348048,642946416,87269736,786030823,790770661,603764086,676785701,375794166,258106741,89050751,372159888,595297726,408799422,329487776,844201111,185225561,692278942,860004926,657409533,632862727,240437026,404290406,714187016,37401316,693151823,836678085,434567661,583398557,734677949,848814305,717749046,813923856,730964585,378449609,475141593,166038593,210947348,347297926,480874051,73021616,680347731,884112482,610310957,538746842,877911277,906536636,35352320,819832810,248570219,829211803,311677626,527345553,338471965,106860901,582391906,315239656,103753040,2003076,335399197,468406946,681441302,263590221,225107463,742683256,18267353,519981817,699791215,689252806,888051297,728072448,664941531,160291351,406286448,252904131,364507810,447034766,461282886,819266901,113984961,760493406,156729321,738551400,272621235,771179496,792921701,760689297,352703942,533195370,895850546,397166346,883383441,850333535,557457696,101517856,593047489,8030313,334830821,170977441,696494401,888828908,341954881,242218041,532523486,591296981,223799140,721549178,544990591,42744361,473749991,764055436,392037389,808580811,205724092,46306391,525282965,142098482,816905256,562800741,16029136,325786130,605545101,862678274,797894721,10686091,701517657,664318596,68137533,443472736,457749344,128233081,137212225,708843971,261809206,511151306,669721715,784990354,348399362,203035711,429224616,370451121,219141315,95874692,213721801,724873106,38679468,810361826,67678571,744464271,279615029,411186180,296995855,677355210,56992481,573486831,304553566,394448178,185782236,881602426,405984867,666180395,342642572,279778657,51649436,747567760,623004776,826390961,390042286,683909761,894069531,352640971,537866531,158386869,274748878,639384386,272495296,123420706,657194536,906708695,360466576,373727856,799675736,532573413,575267846,195911651,484357739,752857598,354338353,322351001,337928877,707062956,1,289125787,19254458,644727431,321325392,803237766,227147485,500465216,482949018,74802631,308115596,718065075,487848035,437674440,892288516,48087406,783646601,530716375,800139004,858023881,199269542,729655604,828457678,191990612,585953936,401443684,283802362,131795111,491560141,548158829,772832130,208884602,910098666,507589276,450596796,242530770,703640851,3886980,481091203,425363548,27803470,418413509,254474221,675004686,733778181,867671026,168486955,109503041,810729082,767617466,657812055,470187961,711646370,665438085,793455141,778604303,628162043,298883650,516923186,293867476,215502816,12467106,219662705,874320027,568508515,174370285,119328006,774131486,363327061,566362771,255291315,749296736,441291194,621574236,457720856,495122171,612669161,81926691,854122916,805018781,44525376,77738499,33839286,765836451,305834215,161174772,492372049,447197113,275086865,690546454,165250361,53162283,840971779,367142448,526253038,781865586,445253751,845654904,463063901,870916336,149605261,96003529,422059407,325198096,284632867,190568606,266908512,61674575,662332577,231898234,827942223,599936574,183444546,902974606,400020144,270577536,432010195,309271222,542762938,553948668,715868449,108641916,204816726,76583646,217283831,564581756,153167291,514713336,465386615,388261271,873769171,568143786,382193521,778303556,550333636,251123116,758712391,832159001,21048620,238656011,788915021,651851491,625136266,737340211,655050230,830213039,627549266,218337077,124221216,1203123,200102883,26715226,589087705,318087181,552114651,518382350,299790078,599563770,194130636,596634205,313458641,181663531,740902241,231531951,896762435,558143206,103298871,840639081,7124061,846579152,668924647,134653031,607326116,646508446,587734951,163853381,501151720,99736841,111814162,359765031,18322899,438405966,331268791,91902048,420198346,577048861,186480162,748745943,703500926,631695952,899412576,208378756,899445326,648289461,133175946,619793221,398947361,40963346,232803307,115765976}

94652033

Returns: 1
3547069

{3547070,426083650,705866732,560436903,141882761,695225525,95770864,318911968,418914268,568304198,6261260,41650952,750253134,291335555,301500866,52227032,549795696,39017760,17735346,759072767,361546921,329877418,675430802,163165175,348356896,145429830,490584482,661604022,31923622,205730003,415007074,10641208,212824141,603722899,742469433,706096497,251294954,452591479,425648281,698503789,573641172,484406992,754217401,294924878,741473663,148976899,417676561,269577245,213290525,46111898,24525676,677526334,209277072,279885506,657184551,244747762,592360524,576145090,649448989,362132606,227012417,117493416,631378283,737717826,248294831,546248627,202182934,241200693,524966213,453656557,510777937,369124439,347612763,691678456,74968134,503683799,521419144,152523968,106412071,67394312,513434811,264003667,712960870,471760178,489495523,680649859,35470691,20806338,63847243,127694485,613642938,446930695,393724660,535607420,649530910,340461483,234106555,378691321,195434666,640018172,532060351,479920539,478854316,475307247,217828597,603237323,56753105,354253791,702319663,330779994,713970667,138335692,258936038,517872075,102865002,276671383,613744717,154016750,727149146,49658967,400818798,389350923,461118971,88676726,733691183,507167862,358044726,312142073,368895177,109959140,407912936,81841077,599454662,603001731,287312590,624284145,92223795,627831214,123593183,720055008,525370534,23376740,184447589,1,166712244,10789209,554045358,567531041,575075635,191942483,259902487,272671926,759377848,633475401,447653060,432602647,439836557,542701558,496589661,497496410,443383626,223027929,638399618,728814030,722337638,113506209,588809959,176510531,304785376,305475662,58845480,191541727,290859659,326330349,230459975,585266386,237164912,644037248,670396042,155570894,70941381,336531482,134788623,117053278,171266554,409896337,383083453,397271729,170259313,187994658,404365867,341916443,72470427,688131387,666848973,563983972,319345367,551827288,386630522,127761279,283765521,99317933,180900520,646168845,733099850,464666040,595555992,253112868,315689142,672448189,375989315,620737076,78535834,538179033,435877487,468213109}

638692120

Returns: 3
1599208

{56065609,673266569,665270529,99199363,269757344,790008753,112687196,491248568,215893081,155172044,401401209,168513812,501098608,158321593,577386298,506212040,283918053,311483666,853977073,142329513,946545534,554925177,516050434,252674865,580512505,937357108,281460609,340137802,562921217,154933565,747495216,378424192,904381720,851424325,696877722,257175133,170381140,922743017,703651521,50492464,736426971,940241815,728724826,434984577,932338265,717134010,402744496,17591289,911548561,22388913,43178617,732527728,705250729,262956712,761223009,754826177,213095180,546914592,636253603,702052313,319277198,622305654,199246789,313259492,685689620,943532721,608444267,132482157,899214850,48649190,198301793,514944977,382210713,304493874,774016673,428968708,764255553,611380620,38226588,633286369,236682785,439782201,660472905,78353027,448919251,10361520,934872682,412022803,835062846,271865361,139131097,486901435,136052092,249260855,317710115,715672549,973346297,191904961,519522818,228115799,937135889,63968321,842082718,506768444,193171390,550127553,804401625,572645576,572516465,334417725,132195083,960612524,415794081,692457065,635647794,479762401,124738225,690216446,348712153,405329879,207596098,570917257,295853481,350459180,19190497,67504767,26733106,585904968,802802417,229713083,711625762,644055810,356623385,615695081,179034079,334234473,657274489,35588735,99150897,535734681,374059537,629248335,246278033,260670905,39956092,178736419,462691357,546764668,917945393,655675281,561098161,34635373,783611921,748774843,331409478,262456228,307047937,198787289,179235217,735635681,541683219,563722681,786810337,857188424,559722801,239881201,390206753,79351997,500462450,303849521,170467674,953127969,680793867,914746977,321683560,887560441,897155689,129535849,670417927,294254273,727639641,783822086,301408390,143258772,94353273,586462359,962723217,875296148,69872067,442966994,823755431,283059817,865171529,296853194,981913713,605129211,618825282,642825824,765902061,135526982,74365314,900323452,980314505,795558249,925916342,174699,209496249,173245959,878342273,893957273,626522635,44777825,391992795,126086419,776354851,724509463,768472307,255873281,352659405,791732525,732437265,385217959,845329097,343829721,117473549,591706961,500492719,27899695,813154316,188706545,523845152,967520841,448850409,556554453,414194873,510147353,616534009,710886111,50478736,64285893,746193363,533344837,470167153,492926538,297635670,652476865,708000361,474964777,84126771,743224459,850778657,536282590,606060588,407981059,772099085,436583785,92754065,844381825,969120049,407798041,900976732,15327011,206297833,855576281,774528497,837984993,4803009,647679241,831588161,367817841,460778177,590107753,431786161,545329929,363953516,820351503,321440809,289475462,484066204,629138861,308647145,377413089,186936812,470527946,166317633,19871582,451309769,654076073,453219095,806000833,800328850,486159233,945131929,722842017,272799367,520794633,73563569,441381409,958852998,915583859,425389329,300651105,458972697,288170477,61552902,791607961,812397665,713292534,933343880,598103793,688441288,3809789,287857441,511196957,373630500,243980388,167916841,243079617,788409545,478163193,806117798,327837641,881163609,821112209,522732158,286157439,676464985,399394883,575714881,50668603,565695983,553325969,472146854,550638559,326238433,147127137,862476627,95276397,247877241,921143809,778229525,271892802,539755390,821079300,818794497,828389745,39761250,370639077,115077926,396603585,623489268,194135809,868092288,494230262,121740182,869353323,217492289,212251013,276662985,695470578,569318049,529337849,482772775,677439429,610897457,87524944,556524385,422190913,29511588,530555047,775668303,359821801,127936641,263726928,582189726,970719257,913089795,253007939,97551689,105672725,889159649,175912881,143480059,105547729,9096422,874766777,894797790,815419772,951528761,856543751,829988953,496617607,241480409,883053246,670068153,369417049,3198417,946716851,971743716,459151902,658873697,258237955,821116874,277049338,387161868,379783284,149224003,601818689,345428929,447778241,611748412,466968737,584767432,31984161,446179033,363514948,510718334,898754897,532536265,684461025,160020236,860811333,76761985,235083577,536090458,428587745,908350145,870569826,357342200,418992497,817195289,220690705,964322425,226624351,102349313,85212941,650877657,147300204,666869737,965921633,328715256,360998258,190305753,839584201,567718841,957124110,337451766,345633963,617867518,527532727,419654844,742878184,140412358,599703001,65114049,46377033,505349729,526004164,681323268,809199249,433385369,159505233,759623801,153523969,699787799,739900291,103948521,674865777,229253795,268666945,719643601,977116089,111944561,279861401,481361609,600720459,309326149,426988537,177512089,462913873,890994801,77587977,938638086,441780006,292513549,60769905,248144673,83158817,55972281,71964361,151442272,23988121,796910190,687659441,860373905,109711159,468335145,977386590,24032088,621962295,393764222,47976241,810265335,730838057,604194312,721242809,1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26243264

Returns: 2
2768751

{47068768,487300177,454075165,271337599,88600033,260262595,151952240,498375181,191043820,523409054,571289109,173887548,594201368,106624979,227037583,484531426,580397569,556518952,103196353,116287543,358114232,473456422,240524001,315637615,329481370,426387655,503912683,24918760,220044128,418081402,604441962,37069538,207656326,199350073,408548534,584206462,461197373,364728517,63681274,290718856,7403739,544358630,598050217,155768999,215962579,30456262,467918920,22150009,337787623,149512555,34326666,346116553,603587719,7041574,132900049,585986514,446472972,592512715,344261209,202118824,160587559,141206302,182737567,343325125,84155611,236886128,91368784,134852683,415312651,306255384,193166233,481655076,127362547,442051102,373781386,2768752,562056454,340556374,320880850,519927449,167594744,3734847,238499727,404237647,117124240,186306287,567593956,76429083,146743804,375823923,474926250,213193828,163356310,332250121,218731330,351631378,368243884,166125061,183643667,47702287,296256358,298362265,287582831,387631144,612941062,382087639,501143932,220629087,607133463,396983253,51982058,531600193,589203350,255938093,54979628,64170475,420850153,409297534,233399999,179968816,266963449,570362707,578668960,575476480,487957176,395931394,510006147,495020109,316577156,251956342,468767529,442525673,228000705,528831442,509450185,518461444,130131298,279169764,276875101,171662563,56736552,196581322,557481904,406522689,504003465,152818276,362551333,293487607,423618904,371012635,456843916,439575023,71987527,210425077,96906286,598776655,445252529,41531266,534368944,18164087,297087403,249187591,464995216,83062531,385320816,434019212,110150233,65261419,426555065,174600522,435762073,74673517,60912523,322851809,457776693,304077651,16612507,237626508,492837679,517756438,12516176,431925157,32382281,254725093,27351551,550981450,379318888,545824637,41873781,271716597,124266534,384668953,535112984,312868864,77953435,539906446,204887575,121825045,475044290,310100113,542675197,232575085,99675037,553750201,352413009,1,514987687,334365315,393162643,401468896,112417945,609304608,260878383,563996324,357168880,324128424,282412603,282561687,142795984,102443788,91953852,138437551,265800097}

531129124

Returns: 1
167919

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100800657

Returns: 4
489508

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182737343

Returns: 1
939040

{31789367,157146493,186160840,220612030,110483765,225922806,228915605,307160971,16902721,136160801,108478755,200015521,40378721,43195841,197734487,19719841,129214155,84513601,76904345,79818401,246028481,260114081,254302223,97894249,217857281,141795041,57281441,230064801,64165171,108414295,81696481,274199681,238516161,195320321,209798193,44141106,27232161,183340363,37460128,130526561,80757441,287716709,292041441,265748321,235699041,103294401,20658881,216918241,173938095,123953281,154941601,139916961,91547939,213162081,195352743,172407640,306127041,61037601,203771681,10329441,297096000,7512321,246967521,162342092,66254299,128648481,282651041,314925982,298614721,291102401,114422929,169966241,302209728,56342401,317395521,182173761,29184154,52586241,310822241,156393296,296309435,1,193341150,90147841,195761137,166210081,256803597,178474099,159636801,78655643,57621564,126770401,145341234,234760001,132404641,258236001,280814953,262362977,26125053,178225890,270443521,76898880,10890278,75922141,247370022,132609979,161514881,113623841,59159521,230641131,134282721,244150401,52992092,86723191,48421609,30988321,70428001,226986940,318608337,43717550,283590081,117693249,69488961,104233441,32298052,311761281,67340092,287346241,62005878,223130589,252601761,32081014,198845472,307066081,191564161,251662721,215040161,267626401,125831361,72361857,307646449,46952001,286407201,304248961,210363617,152167698,268370666,181197820,124787291,24165128,70896936,189686081,41317761,312127554,152379731,25219017,190557955,96531963,167380569,275138721,105500359,236638081,47891041,147429281,1869779,36722674,301167844,253540801,201904791,89208801,29110241,176852821,12703441,115743219,245089441,123014241,288545089,200585560,83394517,292980481,237577121,106127552,209899723,269426175,21639119,39439681,145640775,208799139,894016,105172481,149307361,34849598,254520114,263810812,41878088,219735361,240394241,207527841,295253095,261053121,140632973,164095282,49211197,15963681,14085601,270788051,136446069,23476001,151185441,121743060,68549921,201446117,175600481,81813150,204710721,261992161,91620580,307508439,278075292,247358762,299775470,232256678,185929921,299553761,271723173,112467418,205473763,72306081,92291334,241333281,241413824,6573281,276921285,46012961,187940915,250723681,147550018,279833921,170827383,18780801,162801701,117380001,94843041,221183162,165024272,14123218,277955841,142374099,205465488,193991819,36622561,208466881,102161351,280772961,173722401,294858561,85452641,49402743,143673121,218796321,138977921,33953714,276077761,167149121,2839327,96791830,54464321,138038881,101416321,160575841,91086881,316226162,242508292,293919521,121112830,228186721,119258081,149692377,4458197,215935979,224504903,187808001,284529121,63854721,171844321,88269761,8451361,221238077,3972871,131465601,73337865,178658535,232926281,168568098,266687361,239455201,107904012,313639361,2027842,183112801,158030016,99055085,183144139,256357921,285414143,115298945,50748917,155880641,75123201,230482821,127709441,17841761,27622761,314578401,318334561,119972836,109005095,10718034,65732801,271455530,144612161,61296706,288556006,264809281,224430561,21501809,259175041,86391681,100477281,135146506,152124481,8566478,247384567,304358993,60098561,214101121,303118186,94913241,55403361,192503201,176539521}

290729867

Returns: 4
255261

{95083692,95467615,65091556,342640,50541679,90872917,151880296,85096341,49301158,133756765,94191310,6636787,17613010,84130073,120227932,101932810,141434749,96682716,99807052,113055776,134238977,9444658,31903607,76323040,86335480,31652365,60964601,135543592,101485742,8934136,82725561,109762231,45911390,133110985,149934831,44925937,72494125,66367861,94446571,111397624,61262641,1786828,34217281,29355016,43565818,40905891,75301996,138096202,86899107,62538946,5360482,65346817,153922384,150257084,53604811,47771540,153555265,54961148,11742007,141159334,129162067,41607544,114504645,104062432,63873693,119462149,121604646,76067779,89341351,7402570,38407855,59640794,101849140,110204702,12763051,53860072,51817984,1160122,120993715,148797095,127119979,39820717,115888495,19655098,123885061,113846407,130065156,59475814,152390818,110017492,13823185,143131543,73639237,66112600,90267822,9816760,141925117,118441105,24367743,58710031,90444055,4791220,129927850,29801900,54861927,125588413,26291884,122525281,81683521,138957567,44231741,75366143,25781362,43394371,75384185,127973921,70990659,38906480,57755429,15503277,87299263,95978137,151270461,96928633,11486746,131204155,6078330,16081444,17357749,78109867,69430993,100062313,112314841,56859656,42628588,81172999,68409949,117164800,60313041,57908249,16591966,108633063,9109863,135798853,140648812,147030337,20298866,103800623,106443838,116119255,83980870,111038536,120738454,139627768,73804408,27057667,255262,144774097,143956935,36961731,129654344,153248366,72549834,146009293,10168255,15640448,8557003,86300569,87878794,132225199,42118066,28844494,80662477,67388905,18188335,23285982,69941515,103635967,142882159,65598300,124400296,109505484,39310195,35736541,55646899,12229907,97762471,153156601,84746653,79386172,55806098,51840436,130693633,46202242,144834685,124312108,119206888,49265374,18123532,25039052,54273964,85767697,1959326,146525783,106069777,149327686,149582947,125059854,23994535,114717569,133810176,65857339,140138290,117358169,144247370,87823623,117930583,72841283,44160154,106954360,145498771,56632779,70906867,54115333,87412275,124773580,148497376,56350692,136664855,91638700,26506243,42883849,39841583,22970140,93170266,44670676,82194043,128195929,27312928,134885080,118696366,43128589,64581034,21771766,27512725,108182013,68154688,30376060,10465702,28333972,14549878,96488659,149838208,35226019,133501504,23194496,4084177,3573655,127630501,17868271,85793321,122589731,69175732,48740603,92106665,19329336,61773163,139754563,146519815,60752119,21186664,142690900,39565456,81905538,148118346,27618921,92915005,119972671,93343347,2714551,120234828,14123479,47478547,112720222,1,119686805,38189171,121248976,89036565,13528834,76874526,5072669,36757585,101338618,98949742,99551791,8423614,79130911,40261937,48443635,53040148,13784095,88682118,111804319,52583767,34715497,31739826,71728342,8168353,136054114,95655099,143470997,134998589,104657011,22462969,107614271,45691720,21455267,23309105,134418876,132990982,6880861,33670619,69686254,103125445,71983603,103380706,74280952,115377973,33398343,145514838,3318394,48244330,37413619,94701832,88575568,91115558,19144576,63304729,126609457,137330419,13018312,92357322,131719487,137585680,151114513,43659791,104912272,38033890,131454960,34970758,118185844,78568026,58774500,59528488,143456683,112711116,132480460,152439823,115122712,32419865,59028372,76524329,15060400,36502324,40586500,123801586,93580355,63585302,140393551,107209621,138886314,105933316,30120799,4594699,2552611,49848871,147441412,142067705,11997268,81428260,42132833,68637059,51208543,121504237,66476738,80917738,9699919,32418148,98530747,111250442,37716942,64624353,29610277,102346466,97509703,45436459,748530,10794485,57656928,142435639,75046735,83470348,84929493,136649128,46712764,136229854,63559990,2858342,20865741,138606724,46457503,83725609,152095712,97254442,128906806,40929565,84491392,57353527,6716241,132735721,109251709,104299282,54625855,144222466,92490532,116909539,148051381,102195013,16336705,26784584,68841383,93873854,61517902,141414595,62794207,115605545,73515169,74691576,56032181,62225697,89851873,126864718,49775896,24760318,134402955,82704565,29099755,41862805,6231349,5516827,117456421,102870184,128651545,97986368,13148924,121887857,112059580,107593141,37268107,125843674,123291064,130700740,148936836,140904073,67871003,73126854,28400801,24249796,98275486,110783275,24806891,78293963,78875650,79604530,62009050,116654278,107464882,48932095,38799673,7905107,130438372,121786319,100317574,15315661,2297350,126066045,52684400,127885762,52052081,12149558,14756452,50286418,31141843,101083357,114056890,150644715,35991802,80407216,106699099,64216417,4339438,105470599,115969684,99230848,28058267,45018071,129304810,66467069,16847227,79993614,47198384,20165620,126293403,10888788,76636948,32928670,21338765,10591517,40841761,71445656,33953011,98786008,90107134,86278219,67613078,91185716,118933984,136556167,113219970,30631321,1531567,19910359,144580424,114356929,82938481,70280074,51562723,31397104,701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70438970

Returns: 2
215153

{58441472,65694603,30735653,14415252,77434178,112976316,111455433,116806693,115642680,108637956,107000933,48977500,61338302,74811301,25321811,5532526,12964429,78671601,43788791,49485191,84755507,11213860,121515254,68025903,41870450,61058132,80466717,46678256,12664414,79854027,118258419,108952283,53052881,41412144,81158546,72023657,90802879,86555734,65191360,60875353,104869143,36791164,49041650,1721225,29056053,80679095,2930316,47278643,74579735,16071381,78403219,52301296,82833906,35285093,55509475,26509110,45022987,117656128,28731011,116046764,93131478,67556224,18938369,58091311,7454871,18250701,34318708,29547582,86113068,19921240,75231912,95724545,64220843,92929363,30864458,6239438,53553677,104473922,41415042,119425214,2705106,107355668,86234153,57015546,106269158,100121385,122392341,55351,81400200,58597031,20224383,62997124,17592586,50311513,29439974,95527933,18072853,67658185,114266093,9173710,92515791,33872933,99626361,45176608,39081182,92257529,88132709,36576011,70241461,35426442,98755228,16733614,3089583,105585741,55592070,98970381,120915987,48580708,36841656,3048166,51850256,75933910,111018949,20492549,49569962,34041472,62730161,31929083,54667349,51359182,64731101,70636986,58487596,18798268,113866794,40931303,106682837,29160843,37761759,97164807,100902312,39375732,87199917,21151922,87997578,6669744,119304387,83848435,10787649,33348716,120313886,17815103,115215697,10509281,31879032,59167076,109297725,83292206,121296450,37353060,122310481,43195858,108799536,9466733,28180697,1353453,11114990,99816717,56106603,1,57220451,88547148,122176299,111075399,60180162,47697123,89045467,11663414,98509398,91223767,121967626,10065709,81437178,121640473,116015568,115738318,8244087,90065859,80917187,100652906,105273010,22553853,63716741,77634025,30121595,83237197,32039693,76905264,117785020,48328723,89750540,24185721,50847886,98062805,75456769,74669583,72544634,1927671,13387935,60544037,105419930,19300239,33834754,94905936,18607788,69430354,73466441,61787686,24231205,93758774,115106856,69048351,102197676,107762094,62112835,81772666,107816141,19765596,69797099,94761432,89095221,118504057,89516743,39683298,105313971,28615350,63128950,28268269,102425308,104945009,22873606,474658,9653054,92730944,113191297,34754009,35909302,111202634,97427004,104443602,36360858,65801537,67815027,44313260,100203157,11886227,84882305,8108312,54646386,49845678,73606445,64722897,56262415,78908109,71554142,3557740,60800037,85978968,52886598,8919734,106647875,26207503,13339487,96564879,42560245,76379316,105359966,21027894,70552063,110323196,99079848,38925051,20573199,83459788,44462023,117741829,9732933,88756790,47778177,64407362,60422675,109985289,94266800,99298492,96684120,122368385,15452688,22587393,112425627,89487140,98298824,101347759,44815116,69469719,40828752,65299556,4713591,110424287,80232535,5929116,30820040,68201797,65621666,120112275,112110717,112462275,71273077,114779383,90216562,25638022,72881697,118681609,46177643,44718875,97892118,5719571,2056173,24088034,79821764,43886452,6729392,120239196,53594326,88256795,59302796,52037473,63209089,41899968,42809926,111269897,23115843,71873336,70982625,96600830,56766030,20714434,119080022,38297235,103612774,51004144,108162078,5129304,54413515,106200213,288255,21117169,56456989,50566895,77880009,22135281,103557041,104326519,76677995,4518214,35709299,102945040,109402635,46685215,99448939,7960662,18418698,16983912,100909791,67089750,118979610,84536568,91592196,32587643,101305357,7296192,101256682,28630983,69220247,96015355,66482278,82086801,47889357,37875515,74169649,7668629,109744049,2355671,58243886,59995918,53324379,87602907,91997700,91230164,76588750,52005154,2549318,73282645,52053798,57107904,40663918,30483469,64015742,61489589,16229552,1075557,46779104,93118035,8431115,33501527,24452345,68848961,14562488,59478147,35981582,25700789,77465411,25266120,114103523,86947904,85200589,48839732,28899010,94749207,109408334,6928461,94237015,102770779,15826830,32668604,101899477,22147178,45850131,69890278,5063552,53579123,40015499,31045315,82171392,16265955,22521567,43289165,41696590,55934213,41217210,113764221,82982291,15492115,103378204,40232517,45516293,67130350,76945807,37024716,25065143,27496423,90487674,65729713,43551893,11927303,94518187,59812535,79224811,43024051,79224266,919701,50501137,38307689,95710914,114187381,62215791,71130528,113263897,54218557,63685289,51426884,9837226,75733857,68452350,119942241,85635260,26482141,85542,46276892,14845558,10798249,72958481,96361111,13975335,115245551,31789656,3673126,102347537,79097491,78307076,34266231,55079169,116612927,33704848,23627877,27330551,39367363,15060659,66854855,57382833,93789175,32506316,17206061,120954570,20439536,93415791,6412440,85572782,72506562,110803796,74096554,27225025,117035407,31057946,45754322,90887474,73265006,66678124,90348655,117190927,103765868,95867591,40263288,62520446,47244212,112294713,80897529,37119391,3449967,84218868,111621577,102443372,55198240,4610913,10322063,76112128,38437685,27819679,12879658,13488318,119567606,1741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35763276

Returns: 3
977589

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152650710

Returns: 10
142672

{9844369,25698148,50999536,11546950,15676199,7265077,35941894,12483826,51661772,8495287,33851983,5136193,2491659,21545507,25101493,33485222,31387049,9182068,23498535,40946865,35298137,41703718,28450104,46653745,48760505,31885570,52279569,20460066,40179554,34099959,5774568,18475373,3042192,45740849,43352492,6277569,12215898,49630869,31815857,54555750,24102115,53756695,27195398,32065969,12118277,42710153,22542177,33710432,53005178,999705,32286366,47487048,55356737,14670224,39415038,38594690,8939059,24341532,35082910,51146470,19688737,39752686,24967601,41634991,25417428,49975574,22396245,51878943,26838004,29375880,19858347,47479669,45226142,4819139,29095907,5543491,5317788,36563379,42168353,23778221,47965225,47129865,13125825,30663414,29068364,16147085,47684914,25380985,54920448,1569393,27912549,18539335,29967329,14245143,19491140,2080133,2382612,43859018,20385506,832984,48339276,7430932,19084570,54358033,6910422,3258868,11841777,27887407,21528362,52075281,30246465,35471556,38117286,42959794,32264488,4659795,8223901,48869269,36414506,23655903,43509234,9185051,13160844,45327811,24824929,26782081,15840339,12837486,2669861,29527367,26297798,8463260,32545727,12387532,33132870,21209121,11164371,28270549,10167789,24254241,5958501,54498190,25787081,20736528,3380505,175600,32118233,20969165,1263485,1354826,4519588,6901843,39304503,17897198,46390759,3718043,26062293,4930581,8417649,11689166,10979783,4413554,15471630,19964102,10000449,37722066,17526761,25099769,49083551,55642081,13865880,52215027,930884,36153012,49222796,52534199,7808665,33094714,35756412,42493196,2282753,32224137,37362191,33902789,17263313,21971489,10260520,43667523,15544496,46902716,38380859,54639660,36705306,29497316,44213240,36688438,27535697,53524820,30333867,50631598,50329754,21727138,23839094,37984083,20665358,38821671,53894420,42144046,49047896,17776512,46212800,13615455,5138061,21045968,31044947,44527180,9432704,29815,5177799,31670878,7601947,50500964,44887644,14966757,47438147,43832890,38839270,33316361,35211800,23103264,253409,15236631,14289403,15189072,41232209,31216767,29559446,2950738,51647265,47205251,42691826,24618518,42366069,3736727,16494201,33549342,55214065,104932,46877931,16959898,34136497,24457828,40518849,27666519,10455052,22589022,12691246,42000831,6790449,3468067,22033408,36165347,14798110,37147203,7459073,1,28672500,28571247,6491609,8055122,27760446,48411245,40687510,51401967,34888581,28851326,9552467,25382968,18027895,11945067,39793632,44346451,26480068,3653818,31338674,46748743,16695932,8673043,45700905,35509624,4108927,12750943,45244333,18357847,37495764,51235667,49328522,10607989,55499409,4280161,22796742,23182856,41761623,30477553,11330972,14502680,27093968,15784268,18292499,17300064,9920350,44652982,30757908,40594814,25739336,16407281,53893633,1691280,19228297,45975941,43641455,49278999,49684646,17691329,13512303,2530743,1927986,6495553,49809088,45640162,21304846,39234801,6344042,34684406,41282858,36816946,40131693,32376896,41051968,29623113,18251832,48216571,11068510,597168,50654357,8576560,1767788,52136465,23218758,26585460,37768958,6905113,44135896,13305402,46318515,52536642,22228343,50839223,48230929,19826511,34004693,53184941,39931416,39662817,10586848,28135336,22828479,16462199,30801269,13627926,52194506,13880057,53161057,53502001,19736600,53839203,18782285,19055307,5518048,26933746,42596652,37621737,36085181,45026644,14263156,41481887,34669297,54551946,16893525,38256197,38649247}

39896821

Returns: 3
706668

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500272453

Returns: 3
841474

{234613159,60356759,153169993,278267221,118957671,106514047,316764093,82055743,237011104,331181318,304613589,162672305,307088090,108932776,111330031,256189751,78096703,172336253,53812794,67590157,3896574,21643170,228575561,34017718,223361165,195585900,66761275,129333197,221427064,297193502,149704083,12622111,300926410,218058123,77267502,214100368,113115839,268729009,153613822,2808034,200261443,169048011,13302055,137333476,260951982,26287695,277774491,259132586,219838936,301283925,244027461,35391656,186732378,253698547,139024478,278651652,209215667,86669625,201505862,4888733,104314550,335651244,319765994,96814209,146416477,71897279,48350836,189732159,170532965,330302632,46578919,151430204,160296789,289776742,16648906,190425745,46000756,235700638,82274519,98462478,205350122,154678390,128119622,337411306,147866449,349865482,83550669,181096003,206796821,116952356,88577222,205306554,67931113,136825664,347904678,7054116,307929010,154668226,49674080,251508193,354097005,28105308,335580413,143604125,191249941,126202923,21036851,302812788,168039652,319206039,19219362,21872927,321344030,326399489,9238167,69582287,179639832,198643950,24391442,217009816,180524343,14279981,274238390,181665990,31899534,339607332,199612239,355870551,198587865,173646494,164250718,163685576,227489790,226356507,97046308,8185027,336930828,223083546,3719379,249745300,334530644,260649536,343847937,74796648,316270083,65825826,80334710,348838572,56288348,282345641,339842221,120649288,274851564,46192427,10602348,127302125,247393357,257922506,313028329,202081430,289455104,71525291,105303304,90244267,83141819,125132172,354541301,75750975,58041613,115841006,251646043,294325977,42915175,290522619,126398381,261940349,265077673,40390753,69905351,1957408,298048436,99379589,156531656,326655094,230563877,278930396,186485040,162404483,199286546,347466108,132265240,286968991,185124281,310052571,326278082,27560658,47953439,348614365,111966209,151699459,311534873,130570433,16835282,102377722,210886232,18530646,41080204,151302884,58165700,234462468,114393098,349582855,280355040,296198849,263701085,33297426,341476908,166210658,308557954,141797667,61209613,315552751,107615294,277188462,257491045,189800063,59388462,134575020,314138174,212701805,127599368,27699049,319299253,268078395,328459505,138843211,99258919,196803618,131400974,267588733,239854892,171947397,200512703,214541047,114270760,248959638,233971918,286081506,230875525,76540822,187833729,194070200,15988007,18327483,161184319,48829990,150232299,54194977,333542497,86205694,245373482,88472738,50619628,24509849,46109954,268652059,117005945,267785047,168267377,286438347,178392489,216632416,322453486,24885402,282999356,318202779,288625583,313293142,95080268,290238428,163448394,194247563,230655308,81201864,123032103,300346698,31371722,272616202,93792867,188377658,233138817,56473849,10290986,175744644,140455156,72278113,351893844,241528829,346535400,332554844,225515033,30663070,170883630,10097689,342390502,238149972,221307663,122855205,264457384,253791388,133683494,284838553,332236037,344158192,325142047,121773957,63854193,282512599,228434262,299454727,180278166,356594036,31544060,1,174460981,55143767,31012687,328909432,59596612,144102687,118536588,14852012,30817066,95823802,35266910,230846546,93209234,40572477,317257279,291991682,345462333,191995742,146533323,349541895,85581001,171516218,182798878,321393477,253283675,99274567,310628308,65620706,244704979,124439112,154978617,250497841,111074569,296642395,207496914,142729115,208537250,185774363,103850433,261867028,246219948,239509793,772111,75283091,30293065,255808097,304781147,226535394,247890410,96016023,215409533,309570385,43154664,273149891,275786666,78847791,305948752,89071389,269365833,108480167,44429128,43265874,175954344,237771451,323256873,31603473,73788201,116573068,218552809,241918952,258445841,342812788,134129665,1682949,292673364,143720931,208997868,211337137,109395494,6356823,132674214,191129310,166311866,140978787,222500873,266063464,22069888,179233963,339038368,213022723,62008456,299222778,154780567,103501303,60323466,275591795,88121064,290269163,154043140,92025504,148940899}

221914806

Returns: 2
1012117

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171662444

Returns: 13
1490480

{165726213,198250576,403646805,439044813,25019966,92178497,132520258,70059946,203635968,39182527,254665614,240313099,423226965,227093755,317946102,24596371,455556127,11137762,125200321,118274156,274248321,20866721,87804514,460321797,204859131,174045208,265534430,380427558,164199586,274799924,235732012,190965461,484107147,51096305,246028049,185735564,68260213,437506704,50171373,426846802,74812914,148806201,448013395,425038195,281700721,344993558,414353441,19260150,333232410,167128245,80288516,307649507,95037967,241307652,376443276,228913161,132557856,482377935,323434161,213444554,242960928,298905786,216392884,92690959,325255722,327756597,304287849,162462321,2054563,22200822,407968880,211522399,61109681,136640179,442536204,272605123,457577361,252265839,422395474,341803037,153736202,382822082,204376903,156500401,8942881,471971147,13375362,266903642,483138615,339343768,224597511,28542901,464907578,179800288,443929533,175452348,384948488,394968314,420745910,126269256,170749169,217206010,384396845,290643601,232721701,22500497,76136425,426770986,127455268,201940944,417108314,491469171,404232594,398765914,16876966,99616986,153043480,363635004,171216629,293466228,310934427,355921419,341199620,119964105,405765197,186603972,80860842,395933216,464710303,494277792,1,110295521,105481428,410485204,284173678,36737945,487830585,284956792,13627376,285048611,414631227,426481728,453226829,262052087,2270149,400939121,464373212,68128656,76285621,83165089,493149824,314652397,479331348,250382984,460231042,412862961,347731599,63487304,142793870,446580965,387331685,267854343,271047985,368984588,53923344,295055190,1557031,221254122,216369648,245431097,86438647,117719308,478444081,47509193,140389874,473146678,261449356,371121734,745612,338109888,308882075,418758110,424670411,62516295,159084277,467945102,57347721,451615441,33566821,72660182,387777714,306369538,177951223,342156048,350825263,476874717,365813262,282322880,42815744,264640465,31862,480577718,287448088,433451698,458350387,370532999,150647789,46113126,353243761,360459150,353447501,96881201,182744255,311117398,452622531,304057921,365000797,137641307,121259723,380072401,357077723,105343619,255328274,101779333,327624905,16296199,372324399,277448070,184302993,236848747,147108280,439920878,274859412,257313161,486147189,401465158,389538219,472551706,116257441,10413608,329005307,237729699,343502453,378263505,445242314,169294430,84427688,134898916,176475672,144997775,366155096,309567376,216330760,230767339,110321064,347693799,301571934,394812662,234459577,212342935,446177236,159802833,248564890,195231622,189353113,90827389,36077080,111420791,314714042,44127326,102623559,198233841,162901173,148909225,330759791,55892559,89428801,390852446,216086705,295222832,31442216,138022533,61954274,102611691,122152494,200640249,470871111,358123873,256167838,420315361,186270368,291585042,371708074,299861964,207959341,193826953,319452906,330296259,111526237,178326943,489697810,31300081,436710641,297877040,357352872,34750909,393473840,100473772,57211122,26324450,45846660,33262597,256442614,131162241,97139676,278285509,157315220,72151281,224427211,52675069,319056015,405791724,462191810,232477577,142610135,246517927,333954169,66762172,324399780,129613465,207744686,193762401,434360257}

311387676

Returns: 8
179741

{52343073,31077037,21746884,28582380,24294048,2115272,54057087,33607300,43713683,42176952,27385464,37802401,36487424,8375538,31373117,12245389,8841224,12412368,37439531,41150428,35933012,53520278,46900995,43055981,20602751,20606260,39600447,700910,29101293,58595567,22287885,40441726,6568902,37008439,45189718,19591770,47952838,15466499,1,42962935,27900228,49528042,59186144,50478379,57617389,9165261,4474916,47164256,40487076,6998474,25182709,56592431,9376692,32313106,2336634,8084323,4237194,12614252,51046445,22632626,42272967,56052011,47993190,42732049,39429997,22774284,36997250,21681771,17800053,53274507,45896901,36846906,30691074,26601669,50577924,52149104,830453,25570006,1836058,9188346,15699941,9156387,16366212,18256047,57517121,48985998,58955049,20142638,18915588,43756155,2449245,14517396,4902573,57257731,26358256,10702066,26746228,51585668,36048125,44180534,4775595,48457491,38229035,32883609,18131269,41546650,17792049,56180135,26040286,51672910,24774771,13256439,28289946,58652432,41459704,22697152,9980319,12044604,54515976,30915453,49967999,6309297,32530350,10551631,59384915,22381595,7482065,31814158,54439335,38319985,48693209,8600844,46245895,30377122,7369382,26144797,10616707,3424327,13113667,216410,30128501,16162564,38319439,47651129,27028098,21960713,28547071,61459703,26745609,9693993,15330896,59980689,21386917,16356432,36667165,35194363,16672736,32623801,54956979,34807874,45618234,46227965,46270532,52889175,60215972,45033140,55643141,41388215,44818878,4476802,19339625,19227079,23509165,39526963,51090867,57157639,123248,32065533,54925190,47428793,47217120,35708284,31960904,46033542,60336134,37267163,34330532,3455102,61963654,62006944,38491537,19925468,490120,9829706,34012329,2819983,20810756,8755490,32577218,60143299,17025792,3577376,11323684,51114292,15996950,51930833,60285547,23383217,31589323,4071589,23823553,58260368,38434146,60027181,3186372,23186590,14691006,1050273,42598618,53408705,41062697,39357148,52722229,8268087,58020083,51976142,16895655,24234870,53810333,7460900,26624945,50135259,29703048,29525854,33795936,57566146,54144690,40732101,33251852,5520568,6042386,34595939,27336871,4709582,11876980,56960250,33350775,49597811,31172013,27239237,44496496,4726738,24082156,23350286,37700870,14118654,52580930,54443871,20356151,45405507,55530486,1359048,47034233,24884600,39613299,5718891,18851884,34462387,61522476,43414186,20073181,19661767,38709955,48271276,17598822,14464334,48951454,14379281,27912243,1342976,2422462,7908605,35905731,7144647,11568320,53030661,49218795,1622142,42857851,57947449,17396804,55250520,50244871,28988456,43622089,17536311,33307024,34786858,11472589,55819291,59546410,5423000,13853459,29343566,17051669,13714612,48466709,13471356,3415080,35537606,35206102,60663983,39225757,11042363,24516779,28938302,59588566,25875822,61255534,11447418,10228477,44461340,29821321,56344001,724578,12774431,30257347,18216703,6256895,25470284,6769051,14955717,21565174,56622593,50508842,58996871,41588332,20742171,44377747,24872567,2834060,15273965,40766965,13262269,61784391,37772414,45293052}

21948842

Returns: 14
507848

{177238953,163848342,26671250,218503668,198480997,6041830,87574134,200494218,138164780,213696048,12912527,127718435,122721706,76092052,183518756,90327607,41643537,75026395,197782269,103080803,4755491,3463828,65184210,79097596,84978076,73041987,142458967,139145914,120131496,77440322,111632750,97092860,136100739,231834660,77976805,1755959,191324731,172352956,46953071,119454622,180951482,197337554,149780661,83715088,18611854,170292952,139881353,193442939,211122157,177785275,215468301,108679686,115405606,93444026,169811305,124685560,208694228,217363112,216188167,217729939,150326316,101698828,116637104,185726080,216072155,32794657,211688222,161930930,168652463,33721764,57386825,339241,138134657,110059537,168531362,211391793,182825281,92701019,27880664,159208486,28947337,74999283,50999761,169499360,158448577,7333799,20479597,200483067,219158584,202906165,81506421,133056177,227323725,76557470,134013823,180295093,31426092,135533919,178231280,54259246,224875578,115943384,200092113,28117821,131139495,147847129,147275921,160215917,145347841,5435955,148641337,42009247,113744487,142661037,207201985,177695095,149888027,19746874,109399061,150927987,86880546,109412591,111602586,35596743,78283800,219314834,6022726,114120598,86055198,204105237,134770271,208660211,102551593,221730483,211724560,84810617,179778193,17765927,42873041,149839443,106262003,164449252,64283530,108635057,188340669,226422627,192474393,175056133,160693829,123370668,607063,154382496,40565693,192703293,204870790,100075865,61957457,37580753,16758985,205467720,231001062,15578609,93917642,125438457,163612265,94680188,171166985,190828923,137279601,104443102,178573088,174161410,36855030,171077865,223605472,157789756,72114417,175345824,194314052,153877945,32742261,143435597,112623122,17266833,85624042,130450823,58653336,232895677,46197797,144063967,198962237,157257320,92383555,29083635,204531606,118087919,173976267,59329510,21098797,72248413,80495056,55187981,218412757,43184365,66851426,53355348,69851799,204576441,23346624,180273227,173617808,22984421,196453533,119124921,223705689,155803446,174902684,210724903,95731486,63724156,48591684,53540295,82934960,155401489,166567721,25392401,102069570,91180202,25707615,731445,149038016,42650728,53324041,162411015,130215280,228017263,171785295,59552632,3822259,29644687,147277094,136862632,191838618,126326078,81365980,129198741,108125508,88215494,125465932,29950031,26967687,98230456,60408859,1242185,207470552,198627124,56639991,114476781,138428234,87851386,118619336,229962295,184439265,106810681,101569601,50667451,74491696,66227188,229897961,35041513,194228962,164680194,50276953,22750321,214296458,172430255,100634135,187122188,160776717,35497551,24807421,21724601,155502507,104432307,78712860,129231826,63535969,185364521,176219302,26308745,209678820,9141265,10664809,18938887,225206273,135723671,121011489,90023794,181076761,4761050,120867825,117019968,16052232,159212046,143436095,65735787,49094408,203417329,59628029,46898325,70032901,229039449,146228690,7679629,162649756,45020278,229340813,183118149,213797717,62469155,189592266,98266450,106140233,194541265,39564944,79416541,152404947,52770910,196828796,92323685,56077295,39624361,182162881,223187902,20104871,131318664,201421894,156275038,207851548,68626606,221371162,166724560,57860797,99322584,227008057,57590759,29569745,44101665,30515673,12441969,95188712,209838593,11571199,134326838,40471889,99890651,35385614,165294048,65817582,190378008,162784384,24280335,201218288,32853516,1,122206164,9387949,184277367,8114714,69860748,9423004,149264748,123914913,128378499,66719600,232284438,193525348,113234296,97010437,62454765,213879978,14620899,230088625,107359602,103379609,46530759,96798795,213851323,167589841,32046313,124282221,158828263,13243567,126739641,206384976,104797747,228518104,168097689,213239025,49078713,21537911,144159150,153088089,48146041,187375145,138554098,128993393,73664042,59857951,145523130,14024407,44159778,121755213,11023964,45537308,52308345,89311022,142197441,69393137,87593727,117011301,131209270,202631353,86693619,38460991,73210028,221682866,133303738,186740614,81401368,222814814,51153686,2011888,63214359,115221860,15208088,139001651,68559481,225912817,126548528,195409530,80966874,71606569,94544940,4020613,185892268,188766528,11781377,220913881,17789863,39104297,90618529,154345529,82800743,55433318,111218713,188393792,139601655,38088601,76300967}

154892761

Returns: 3
2561503

{463334050,12135151,89950504,68366122,473521825,425209499,790802464,248395575,508302266,438916996,129776760,677584666,598687635,751498910,683025840,247445389,648652202,281643796,171086088,694500447,713613843,39917695,235573394,187638605,715258558,405060020,673675290,539106710,403458280,610469435,692337998,545600140,350624379,435455511,126932675,480737776,793961795,104435874,657691760,222850762,364084498,462981126,647818373,182730539,197969063,318459237,358035649,395858247,526544154,1,777508599,299641128,709536332,619383244,240089241,6880565,11998460,609224000,225496631,210004631,390835318,279048943,478181061,39302573,96137565,669110496,758769517,79820156,576338176,188401205,107019401,397736143,655037350,73347086,379906349,118623655,774466659,298087088,325310882,679213068,663313609,604804953,60172327,782513884,389348457,590211841,386786954,167403165,165373803,796627434,28720878,436364799,551204118,546956612,631555095,363007089,542134180,690963706,243115233,76200830,280406525,267059337,154432674,498585713,800651515,85454266,600088393,562666022,642793567,530360116,75944741,770225155,806873446,644898844,591976512,694210497,371355085,636534129,236903850,563131521,145674023,452672733,616451458,374546600,130615790,510359101,762882253,368786214,243049965,109542837,765747275,549665655,491808577,651204730,444371964,22484801,502727356,608776700,13656582,72117158,615568191,658370705,448839583,468703982,546613789,336947984,29035097,585753440,741491382,295395611,338406635,280061842,784154549,758204889,744749996,46149625,25329435,114311517,513369441,247802800,250999184,225341247,457389032,161374690,140696932,315064870,279022960,728218170,37745696,334747391,251344605,556479807,270102951,808273920,685315191,567554709,125063746,347055891,659734624,768591888,712097835,289861829,558046,799327487,161665943,692624074,153169328,731109049,448263026,237751157,190513113,560093540,28176534,513862299,698479788,61270387,409302321,151128678,718397422,486351455,338700494,427760014,734864698,676815509,179384854,535044031,99068780,455050982,326293069,135759660,495901721,51343026,735710817,379066699,643183850,747604223,344168609,430759651,584022685,634255683,506915036,378249535,31573392,43241386,798900963,787788542,302574126,50690782,350779138,600805378,417505794,726617583,229676497,326007038,157626616,186989720,122952145,442593321,169480132,640375751,418810105,55211480,587213275,352523299,174919489,429466292,212784011,307380361,141994889,287919423,4519611,309424407,721077917,391130149,265818910,493389793,3142905,205198651,263695325,767756915,109347653,194893698,359345550,476340035,535338101,175642483,499822450,316481395,529562500,450106919,204920241,489247074,587019232,200171763,137231025,414963487,524007104,19805842,578749656,64408045,755404962,738105023,84407274,724496030,398276073,90406218,521424069,675426733,268348749,578000646,276642325,775180952,229134612,328613819,691330910,625676565,749105594,562740850,211312826,627445609,373979439,470180806,137576530,308836287,65482580,482170273,568963199,99479032,390516200,58027722,501003282,211270090,621949124,117829139,416810893,321641100,217261799}

348900120

Returns: 10
813616

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6882,370598515,251803880,425521169,333964003,412073001,179882715,38667885,278366764,232788889,305093950,456334466,104114623,362405178,486775827,318123857,70244948,502357101,211916821,18435128,282727167,59895994,491504705,300695755,433649240,403234987,355308626,21046683,131530585,78714598,99764551,249395838,221437388,528709757,229185860,168418513,297424665,123858596,531657250,291954345,109369146,537394958,522005478,551966084,285388705,331911991,225324071,69760546,162535425,295469039,556725456,418080393,415238842,290328494,169071301,479844427,65214073,271140283,533796728,538184146,7948657,395286464,72105415,126912293,35799105,330761243,348272236,96553473,524533856,340905105,7973411,357345206,228626097,577762758,478063596,363631456,459859927,202089410,87088885,120415169,570644272,325519848,11925880,480365218,230728367,176196691,419479543,469788812,516900665,54646774,266589459,290151398,362059121,204664589,321622864,305919617,405633665,195868757,39985587,580921825,472595737,502001073,446966697,90795965,256236418,217583958,531013302,518940660,339916826,26526392,470429731,261876580,452494569,203404001,247771398,307507915,65776116,568659828,280708952,135059411,544554799,11007754,378421312,318626635,278841129,536335445,519142021,91934244,216793847,503251370,409413922,513739661,581516361,467673493,299920825,490581793,495492145,262812251,335094899,341620929,154291077,376677143,181436369,276874531,70296185,188974637,526583360,75816200,257260690,248156541,22500548,201432254,133565320,184690833,374764213,34036331,425634567,89224998,135444068,231845052,497813379,55372062,13808874,400917853,567222959,301750371,547589668,533781040,15841961,292470205,477107737,13511583,342547068,181974898,323504337,219264738,209547515,171370616,387769150,178181905,154441442,172622635,395583625,34214349,352596959,46845679,424252027,574945776,545452357,14281134,555370636,182880665,265414233,388380485,232104901,396165311,1610324,508369369,543610473,489768639,298597073,106198561,493331032,145586243,391845141,527392156,66368211}

207439416

Returns: 7
3929502

{597013921,82623225,50837248,196241369,255127099,612587592,168528037,462170119,137576907,558833549,421954587,388333354,212311257,369370888,236990121,512536824,333725698,58703352,518694265,303246021,459751735,385091197,390951078,128516,389371579,109898567,137284566,592268991,169926008,355504325,453943800,158610026,27343510,576109947,82093487,18954399,267206137,76526600,553325374,64260324,298874465,147828177,473584234,290548554,440087968,100797092,505496374,535348300,605748861,412597711,504142651,541058129,318213367,56959539,445087123,35365519,234950818,562421314,286835000,361703953,256829870,603551550,121102126,192997240,618571484,520871247,429822041,972845,19496922,200799569,61404334,428315719,361514185,486260152,53613981,387427213,593685977,283535518,443454910,470627680,316796208,133603069,430492242,1,211730337,526553269,332789061,390964387,157180081,553672715,153250579,243629125,527556410,183649835,119242645,589425301,5004551,308721636,327480701,181947264,295383718,276053772,567449946,252515876,172769080,142737253,270551282,350626264,577885856,538665507,127590214,247068653,63452157,606306115,199319600,472458154,79565967,390806084,93067756,36063845,94812726,575898405,558777207,486052422,45588390,247341873,434122211,415887181,366572145,471308706,419896471,271165713,163436576,190434630,331891255,341886823,348550040,464357786,83856613,117203721,227052727,534412273,308330856,14665818,376278121,539161931,487792851,23378143,43019415,201676343,492862416,221097021,502481620,175442630,111465129,379069314,273736118,211166063,324446322}

448624717

Returns: 7
1264774

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480262186

Returns: 5
149790

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58227801

Returns: 9
558744

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19,75430441,58266752,116311629,125564770,9968112,22132506,59644495,160128567,105021489,103307768,147126726,255256541,171900790,31381055,19771302,22652693}

56112473

Returns: 6
318029

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221065800

Returns: 24
798526

{124699891,97173178,224342634,80324486,113557956,196137861,23955781,172753408,241953379,4791157,234849099,169202315,149180176,46818672,94348903,15653036,13199666,182645072,61691548,63230336,286136317,33492445,138232431,239174235,197220862,290578619,238596906,184047086,257793949,214201435,29645245,251267679,268082519,272632170,212608489,53387360,176546932,141341048,258400339,144169330,112167889,288112096,154040500,108301281,206775640,298648725,300995438,211172716,65259072,67385855,45447941,85122565,220393177,123605641,153168561,230774015,51038203,12776417,56574285,18821250,40682346,73818544,205132273,72917930,138954705,29286442,203509028,262417584,102309107,295393476,290743941,104617289,175570265,287404277,43549619,289199747,282628699,197560895,288544164,215357187,216400547,197524685,125035533,127764161,31316486,253484687,182177675,249806004,34336619,39311294,302598885,195122894,160848782,197762874,226461008,288719133,231332846,154140325,104606907,53434246,122174492,26351359,9490478,150795351,240442348,276486837,174168145,278272922,84702236,155579133,48892689,237899312,1229522,194581842,49065046,181265403,86966018,228126911,269508584,186202978,225448586,266747171,162706307,128572619,300245777,147825469,160354163,20521530,202236598,105833720,201419858,164174950,274662373,188044324,4925246,75025161,45545542,303439881,99873896,282657033,14205534,266981685,78809980,119944257,265337948,118212339,37677137,264299124,193243293,27058170,166615385,183796960,35668773,164986542,220509079,72095333,258169910,291837610,106196293,223655705,159431350,7963078,114451935,2289297,102169653,280255150,231306361,9546724,242042059,121970853,60336174,94039340,55098295,296099424,216594663,140395925,170269471,137583320,158417523,58467510,17678716,210495895,108413223,246748002,297148512,41523353,89438640,159928050,190336455,192444767,132708609,175896079,119566391,153966036,144603873,41688217,163444080,205201232,206716776,83340692,47911561,52702717,83429366,248425848,91726135,231886811,276117795,245147483,43120405,66923934,146026828,204795588,293973555,292908604,19911711,111773109,276711177,124046110,146939787,267706608,292978708,168274386,166641767,149297214,135660442,250513396,66252379,246066516,154174626,92491665,16650763,88680692,256930094,56391677,48529047,165481479,188863722,137681118,280579264,180159512,303929558,3074930,243002394,225887676,60017306,76589837,77891286,9638297,254990278,953509,175233514,181909943,136015350,79841597,285801391,117518120,20552338,541753,151904186,197930143,99334736,71867341,213175098,237144723,132555317,267941765,261637198,80662693,137162602,236066919,69110690,253132743,9054861,100958461,98792866,221157164,107801011,65976805,27555457,243509453,226226996,121375953,212407917,6958292,265580182,76330174,56717903,146135278,44717457,27108239,110730176,284142040,279484101,219293562,273688079,245928595,22914888,173736873,131756791,263120360,37927196,264695607,275491471,126387534,193368229,55896821,51325142,88268422,133656348,299046654,65971878,140936138,58759407,232895104,186682371,217140920,207991981,111619946,20161943,115605042,1,209651062,37530723,221709031,16010680,85482965,203667098,227223188,31805393,8683493,185919119,251219365,254692646,301613389,130029787,101062364,14662689,116667968,94196520,223368706,179178204,68923760,187071636,64680607,82281846,258970804,248312906,176352496,218677376,93000033,188840679,234181184,148991015,75859971,6388209,172481617,24741933,25197206,80813005,62404688,130508474,171016548,154835453,167059064,142284017,87461249,128194479,281879679,256215551,134595978,108935421,35004413,94119880,94834517,198902526,35215228,260329726,238665654,285073783,272146182,30955376,115556034}

268890900

Returns: 23
2091751

{138155477,254982586,362783718,115046306,309367904,184581749,261042463,10487779,301194531,131509639,371322076,354327041,64331444,1,16734009,6275254,324190299,159978847,25101013,265899315,387187422,412074948,272341799,341267609,292672336,175441718,318610933,284381731,56477278,181325901,78651445,340143138,324486372,422029943,392991564,191676392,220561000,374199696,336325862,83472607,152658649,156975062,236562083,166842855,392458368,216119902,142633367,271756423,326176386,416258450,305395647,317089581,8442983,42919767,417700053,94196401,39583888,278695748,240620274,332028895,278392260,216112279,136386183,156394982,201425370,399925321,188175013,131645910,49963164,265009570,53211443,51722980,277372101,369659434,166844264,316419936,84320067,73211286,25883146,143235386,215735043,290824004,312522606,7538127,365742093,119976312,208822249,191378778,236367864,45331622,251972566,224604280,262607979,248918370,140410370,288720952,148326462,135963816,287188512,378339576,259377125,347125323,354417363,389327920,181706030,200808097,408977954,122161034,82165511,67534344,76691424,150176082,31298720,297432042,100016674,30758423,89686303,397646510,350802518,241282666,145980511,2076009,254057321,101988502,27711168,173533671,163464397,194097058,361872924,296487867,204991599,41754428,155614644,239747916,182755050,385765584,306433088,211612946,60010078,362958802,97959981,337587363,251010121,383728872,338625366,400254943,82214039,58569029,265664597,106679302,352874963,23009262,286472594,232753463,262091125,17542453,62002535,334631904,245037624,216378998,107500299,128759696,47234314,80635921,14642258,125579339,309238201,110365052,66329327,187206466,341745667,167549296,121978211,419206378,110947040,413905499,208028150,382790434,407423724,116150024,32205982,405723134,225970277,20040576,326862553,118743305,98422884,358446686,2854459,374415471,205621731,86553455,376915715,315282614,296220522,64819728,173694544,37651519,397255344,175886360,215450354,73875828,231990313}

382841653

Returns: 1
1117118

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642132398

Returns: 17
482971

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311916360

Returns: 4
475567

{64234245,91407047,113970721,136955587,115306910,13751057,11896352,38025532,156914763,1,83963614,81084762,28186770,107878075,14429400,57246896,163147415,99276283,179699729,122607804,134145369,67378864,11118215,54229589,126320803,100820205,65122797,6644400,47556701,42431051,84223959,18313209,53914543,22421144,152036396,161449712,156260439,121925230,10203942,114130761,163990503,19618452,176648007,85551315,57291857,157283612,95090407,171204121,17096813,116124785,12282184,93504480,23634365,113660514,174181751,58970309,133840273,83407845,11064171,177923537,144720163,93157378,88726861,45311863,178860445,18270511,107478143,169641952,40587666,172630822,3802025,9140081,48301462,43276598,125471357,64142121,49934536,80042602,53146744,52895089,118502597,110402845,108712000,30383423,20931117,103846818,168985712,84881454,160664014,129340660,85658500,126038063,101270131,162844016,48846976,60256157,11514542,129285804,149867393,88955158,103670377,118211086,147865452,166348479,148524470,115018001,56060175,26849165,110331545,142172465,117824384,164290273,87942701,145470277,68309493,38651384,71224952,36194415,104460879,8560207,123541434,36126229,39388483,17363685,130033544,127951041,75139587,102246906,7639920,27989433,5231238,59521058,3360366,51828970,120318452,109855978,81845458,90875671,55405302,132461750,153502927,124430936,33156797,76266631,47878527,161984128,146005468,168350719,54561383,173270029,102987442,75297867,120653536,31976438,178344861,108250595,2868284,133604930,132175795,27969194,141718967,73712886,87504329,30761458,148946817,172155255,31599410,36336389,171269340,59419434,110562104,85709067,121157566,160266080,73890639,50372795,99335103,124160855,71415583,104938419,131638082,29810026,158631420,164157566,150239919,115703712,70310993,117030672,107912384,177462198,59895418,169446553,169424645,18591068,50912611,95413277,139975717,174057523,124122988,31156756,138645695,6864738,35667526,5682097,15510834,2237419,103759373,51621324,164449646,917626,25354358,37270063,7609073,239445,139082040,34303481,160391825,97865526,151350045,121718611,23759457,62590083,140458139,16022501,32434464,144497160,5699141,1902269,142072260,75688918,96801964,56860462,61181923,127878723,39947629,176480771,66523649,92412837,78024969,70909660,10938042,115858450,89277847,61207922,110601957,149803606,82358215,153438195,79099858,20940831,70844865,23193896,37384517,136928276,179969411,145781218,94118112,122145704,75967751,119156225,34750068,74096214,8989932,41849897,58494742,153273145,45079324,137869974,42083186,172777713,118591543,152617996,66435153,9232009,148087110,127273802,139328116,157946889,63738384,98820452,62927221,163110969,2594623,80793018,62067601,94594073,79414876,154432050,143866919,96064535,88287705,183968,174128731,24640917,46870066,61773958,154803912,78624451,135439813,140927593,43389353,136534055,106527009,32432610,3816830,159503061,68056856,48722687,77992989,167388690,161137975,112709380,151420827,52210524,15762839,18160081,82445311,89363130,101026270,34066505,130832219,132862353,70227870,125654909,142618136,13039314,69191491,111351248,25554054,26956337,66031626,66016352,46353842,168688265,40163234,129857982,50564012,174633817,96775209,145280739,76289967,146405163,40457921,106997063,85201317,105229059,134431620,21500014,67764204,44369110,20068468,143261564,15120485,92259999,128243826,29344525,167411459,73237319,166677601,98495766,16519820,136154089,155658787,157461131,158450172,112713050,90727822,24668299,98142591,96119919,43454102,150574471,134380791,43713326,175484438,56524660,179751513,24820047,102716692,174382604,80712266}

117253175

Returns: 9
590531

{69046383,71944837,81370050,2159297,10773418,56038552,88190544,22978583,19958190,74441635,35766049,40369371,80689550,77000548,75069675,89268318,50779293,73596708,50219196,39973145,20864716,62232294,80267325,49604605,28936020,29924954,44080871,83668262,16534869,17702628,33614379,84223240,85286201,90189801,56478649,41315865,45266659,42446200,10629559,73144433,72358385,89207879,69682659,12401152,53360087,17781823,19136949,60824694,39996158,90190699,5860126,30890564,78319729,6767219,37746490,54919384,65050019,3179109,61816796,57281508,47242481,70824457,29406856,40997325,52219624,79131155,1,14020280,3319716,88274254,39565578,36285027,34308567,13938801,82706555,73579565,23368435,27949421,76657120,5300865,23654793,30788525,32963024,64290127,70682077,58219865,42010415,17125400,82083810,2952656,48937809,48423543,66766436,33710161,57702206,45011666,53090021,7414900,7814913,87673862,68490558,26175340,77950093,49667997,4766353,441691,32201629,66163307,15622981,13369870,79430031,90740227,51966729,9831621,15353807,27130323,57438703,10905351,26560093,7717844,20668586,17914415,65067952,64325491,86217527,82482883,70220207,24462693,87191548,67248218,21916671,38338702,74707832,36908740,86609001,61143830,55303085,4383285,25433840,57741833,62289683,21771043,30707613,45013517,12438573,47699177,35431861,8805900,63273844,44695802,59471925,38504114,84782642,54120092,1181063,25221478,1360085}

36197868

Returns: 2
111604

{19300949,17974928,10181807,23317837,12649608,38521357,44488756,35990855,88742559,104653843,60153974,29688162,33596853,53123505,91915204,35587755,54993662,94360987,39900883,42023148,6473033,59784037,87145684,43162035,11328091,18306087,43009226,66701843,28070817,67855233,99230104,75890721,22231462,28843694,15122321,105349406,78683937,84792027,101658873,39038387,78096813,78484126,33686846,26206893,17230915,23498516,38421317,47679895,69495887,58592101,104252761,99345075,85780143,6788773,69816924,6048682,59402026,71231676,90562548,76837590,45633173,27011052,71732682,99173481,14847074,60235095,30386407,99104353,78322476,84890960,88189487,85874846,214571,38142642,58235779,21808194,85533146,91092065,21000597,61915589,21476240,25275013,107062971,36672837,4632710,92072368,27743252,2541538,77967283,56555701,8167365,29698547,94643471,65984582,79042818,37141511,28742056,20311493,3114304,16807998,40712747,207647,52446046,66325028,19456404,9811440,80338148,83548027,105485252,71224271,36440537,86664302,18256942,102611811,10021199,23717159,17521829,37833757,51074967,16124247,10817072,44864809,58025601,29276616,97559067,64900758,72917311,82145330,101111136,32253557,97030173,91230800,9680951,82132780,77868574,8566324,81715841,41533018,104492152,8036641,79832422,92388200,90204319,84595833,79472149,81582525,102525672,104116695,59828971,1411054,78003165,12611253,25540603,4666321,34575253,62127541,86757136,60549348,18670339,77439748,36706863,12477841,45804829,94703298,46742072,92570437,75649909,86556186,80829042,105965872,72232895,68876790,55573565,31782791,25206341,8433253,100638644,56117780,98764278,52304807,22858267,49998593,71421073,16454372,103852482,28639278,18203332,64230859,79466850,41864770,22447951,61150440,93133787,63713945,51736867,28004297,6347946,64058812,105683879,104796157,74646145,67897491,25488543,12661948,4360879,101878823,14843333,50549173,106778129,30282144,8227344,7067105,26388593,100405217,39936774,85973472,34488187,95175323,17613415,107809465,80411877,45144402,24825895,6508418,38391777,91032167,52770362,97310946,56431425,41405085,17721700,8816717,17075413,5464462,24293640,34461055,15707061,49173978,4142517,70645333,21198539,94155948,95421421,49323580,64965637,69150278,31980060,62957631,33071812,18164725,101164975,64175111,102601895,27389963,56948656,63091564,87051121,36656878,49567093,52861991,85562648,85681684,92654520,93534019,87369324,50215888,80243277,91850093,19959687,93971990,45530753,89532731,44262824,15585344,59715980,72848435,9224841,55913605,38949797,54195542,82732801,81183062,35312503,63158057,7807912,51181213,99441243,30702926,45247016,59347709,20025199,98812978,39772519,93219638,38601595,106197781,20257219,87084941,96872273,96087464,27008169,66336088,46566403,95638668,41839902,46656975,22246499,73737790,106733423,87537517,16709390,71091056,89053197,19346243,48659345,43515223,48523229,72409650,36264813,1062620,87725323,66437186,12388045,13796113,56809766,36547090,101629479,444521,84262641,107862352,85229729,12895816,2101560,105460438,47916827,103340161,16158354,102006057,28323721,3378822,82624402,4961507,45980849,61230720,65809743,50651026,100076448,82321687,32362154,24757763,67939403,95478638,14285313,29128645,72715146,69463352,102198762,65807473,1151938,28475526,89501542,12054479,94853088,43817579,2168019,57766103,24218069,80387733,103202845,62091899,68510257,47118617,17185504,59486571,2419105,87208004,48324533,11687711,83479793,7887828,89393707,10049466,6954334,32134103,26751175,85402676,72193440,35596453,89981521,35923986,69217281,107277740,93969095,98128844,13877781,40055836,79630094,3193010,14173709,14548028,4677632,13512298,74968003,62159107,65720764,97533325,76844490,970034,55233668,74228674,39320701,36212403,68236255,64226090,73658641,31423149,16596526,7466508,66511703,17581042,46538869,23898927,67743629,53137344,67408817,6026617,43895324,79530548,33256987,16777930,56567001,98099917,31648194,46425989,46043262,19655211,43413957,81885296,2302417,99662990,56339048,61474730,10995201,10592465,105221349,100355237,22458512,78795162,47349826,83542284,28404621,10160815,19989097,63742306,44579016,41464925,14418241,65341602,60957305,93053631,9142100,80505517,89176517,33920094,74789222,12982943,88997601,63800257,18477280,76319533,38602467,88613577,567024,66502193,13143409,74981575,53747002,106341700,107911176,53270603,45045576,11829318,55238844,58609138,70957793,83285127,106416702,69290853,15477661,91568110,57513939,102439707,75466908,21399545,35042080,60172327,41501534,59154487,1577943,84755715,31004306,98917950,30996601,20747347,107586257,50414862,71203353,5646395,35538770,65393944,87882739,80831288,106339817,80835277,3828919,69829053,33008978,98611191,27399981,7109957,333325,105019365,30610923,63329197,51428947,32330531,11606817,26540153,43867258,52118396,4217670,72620013,21256194,73747888,76258381,8627238,96734367,62965592,46803509,37441673,106583719,1,7351688,89855419,6249825,468399,3013309,48961884,7587711,18971698,45101593,34960317,33878635,73241621,40664758,77198535,97762501,92799628,1180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8222326

Returns: 6
681643

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506146400

Returns: 4
2485714

{284754322,779223430,673404285,152384136,721757744,614129814,358620040,636342785,377512615,502272678,106704004,328020264,423755393,430877733,526144684,345101088,387771385,94027781,770308773,712882705,827742763,370376000,355473862,76640897,521459290,570182131,142552761,383217390,626883815,114342845,747030176,702936511,1301138,854644883,14383723,352971389,844761280,891820708,52199995,292466880,549382920,96942847,143611776,573855629,867139497,308523967,377231960,152946109,835371112,32504798,561357676,844196605,47542357,257448371,633174443,700439927,594738902,83252310,494657087,487199945,415114239,730519286,306750461,274787441,196439974,101793227,583861504,686765402,548834470,886194675,338057105,472285661,313431887,857307907,19885713,232876021,374518507,416391202,643489367,302071623,697821704,889784966,871392155,764572228,594944394,196889220,131755618,265290550,815314193,12182291,551123557,249733940,253645921,800323030,53597675,738674681,671005847,236857776,195694242,31049898,867618446,75877262,460901926,400199955,85217268,159788979,435114376,202169549,451045463,725704139,541885653,431668870,841844534,508129561,749157001,188058829,278476749,89446115,653721980,97116861,503777477,147859658,86557133,589114219,709890037,39553465,308718923,370344581,391313697,534226898,186174827,894621577,179701607,353792876,523882945,477593227,213677271,173829750,392158320,685954226,419134469,104399989,770086453,59657055,240996434,436547289,182337431,253203881,701877565,269803554,225432089,332531793,748405458,589936299,582620899,474250972,578908733,820604234,41965495,577284896,555161899,693332702,174430352,290032992,512356250,348599599,9392781,743749062,879686337,44365229,272659926,732325276,667651687,37191773,165791114,616265244,563685228,304771133,618699517,455376075,340542819,243338713,367885673,817636712,831196612,263485685,223191881,235435072,121709601,680404832,461752607,593573444,114442949,206720916,781837110,362103537,218811842,545423550,637190729,743196798,661578422,185526730,499128827,660291731,756064715,126953720,854276498,459814223,894103256,300771395,738090834,226315722,180148720,133491687,292094322,819182920,345045903,646524380,146668379,7072502,473712382,286485080,824957918,476996304,874135733,623914215,71787733,173340693,644585755,843922560,382442537,739538701,807080337,851561185,320171479,728314203,640145977,544371367,67958123,401308164,788753400,127541789,656950297,162744201,626399929,210506153,452031277,200298342,501034538,477954899,223031560,809846821,426559533,4971429,793859102,138601763,673466386,62616799,283371397,688671656,856352377,115786134,566021937,678444533,564971619,159019947,708428491,210251139,878335183,772821620,248451015,799666820,720570524,392896443,73288536,140131344,545883848,513559576,596693502,22371427,442710227,169028553,123632289,422571381,766270855,424256873,881489061,389059608,734851772,469277486,401434443,711187665,875947543,538973200,805371337,494848263,786519665,686941931,322893951,26715906,443479145,79814261,467314233,29828569,60744542,613971359,785485625,429339467,218742833,341286844,631371357,45008706,760438183,330599963,534587842,506730704,530559931,517774971,576685649,105326416,847446462,313970050,264932733,762107385,651257069,896014205,270706264,837377361,124040980,402228374,23787292,656228497,1,107596872,488032594,797901547,828052233,529457083,362899375,15235748,406446714,775827468,594822119,242004411,492171373,323249995,832503153,404049376,333444591,605173952,715782061,664608417,591312693,295896975,679827704,250391352,56893166,65248012,444770088,611209772,785486745,170737607,810405359}

814368003

Returns: 4
1159195

{35273618,363221479,431786678,76967941,418882547,717806866,415447011,265556308,333880998,550848806,598988543,80839088,775875120,645959030,303164551,27372804,362109444,110205179,170384603,547680270,122136381,232924977,696196956,649597102,23458649,783153962,735449144,449007988,724838764,123966055,326741109,295954486,51611001,149268548,458044858,140036986,264296461,623571992,492603494,738421162,83462041,456945757,114157208,328918936,172849714,762600020,741965441,197063151,368235613,579276929,7820469,369494088,708223350,90177427,16093660,446851198,771861395,706031951,330252635,74986867,247805855,435573465,612041664,443153051,715159227,87524779,590737055,490285436,350150740,163080024,1,580782517,53692227,439360881,189340143,176197641,267583656,494914689,472963822,688167956,334740353,157634438,352395281,499593729,323411677,361668841,165496081,64286108,755418572,335616919,601345598,451012707,652656764,581182202,279365996,683714138,454858357,103927885,127636051,282843581,550956229,5674744,448507786,291966727,272634835,536707286,426665662,39864463,538636591,449315550,668789365,180834421,636594010,238961090,48938689,372936450,364719452,47724554,643622606,777039066,784427179,286725442,703631366,785934211,563368771,72554795,203225212,642841371,184685001,69452050,722069973,592348646,112441916,427471045,673222121,723142637,681394714,197217915,593631780,55192739,138298196,205386425,50112196,696796781,497040227,230563059,555712199,184989705,705614070,118864383,702395806,587672594,413950372,348917696,441623195,93604102,466380967,396031881,516880980,582357884,37989078,682169891,693803410,555095201,73018544,85755256,513799961,693041584,753449063,481006809,250469502,392516621,530996184,426334149,747640682,640132842,155183688,337913230,563894915,159350475,317133168,587962533,578438306,743879071,343347657,668058649,395770220,429975308,178516031,488581975,596943423,629399960,19986650,631330787,570846477,208883224,231431360,503927059,579058313,186451152,496135461,229435020,476597427,691271515,141125451,356198784,544821651,675724065,246908536,125186498,546923654,512553013,656986937,462518806,39412631,661900346,526413048,281431189,712871373,529486741,725402384,107805136,707210336,41859761,101824905,257171623,154172936,782456626,506302096,2090418,260818876,763063794,289222001,378232747,380957428,224883831,166924081,464376197,16365284,778257004,534342974,559616898,258500486,254414258,753739090,314940664,522639766,607694045,259521761,192191573,692223522,393718710,697291114,234898980,408344212,91495732,189770728,533504732,523919756,626405831,780071906,126324259,47400922,557555753,255781439,560853186,572915516,132896720,14806256,39929777,329010187,614373351,199896486,136733039,499989256,586584367,28132412,434262307,404900716,34589753,595433593,310633690,214494746,435491978,315503223,296793562,767006972,226170046,575744074,645430544,239244747,622487716,389947920,79046561,686751663,89258016,737355254,13280337,60524459,659833118,65765490,701312976,413832616,460236328,553132426,353435214,488234309,190816131,59118946,90563169,40487552,350076891,652276512,649149201,725273284,161206517,137234750,144129698,24933717,735006366,176328288,505722492,118664541,764672908,15980661,486861901,77615440,665517703,357164688,626879085,689602616,684976260,343159672,604121591,607690399,302102506,744375685,171130677,290957946,615324270,456053164,526274531,82196270,518313100,515640803,305777570,600091023,211273966,700153781,478591021,307186676,488021096,417660153,274437334,472435142,437861505,188013828,127511451,252628895,573353214,649604492,11444090,168802000,665944597,529691639,576982753,570245847,219905003,293052150,72212699,379414670,622933281,385600379,531036490,710064927,734795705,385878589,597653427,173465163,731286300,213784482,59313254,415053460,497445122,629805989,441744962,523015726,235100525,326472174,658596406,20510443,769052427,385192995,133442729,412387193,262636715,276941586,585060848,274294082,157968605,347452691,425424566,325593070,134226405,421367354,24943472,210813802,510270429,751158361,93897432,43398043,320798969,275175112,148128296,367159120,746026856,508886606,315989662,567120703,84573135,29544800,373659387,280513904,546383824,18938669,610983901,545933023,8970390,150223107,493002925,504909285,146311567,772412829,584592307,384559090,770063163,243930450,463624865,85876548,109223580,377897571,101431565,758121499,774771117,656268728,333175681,342185922,320352999,636328851,108922144,33611867,400808122,561076563,680319582,406217639,312884653,215981567,690472249,344988656,409746448,128646739,399807716,67007013,68677266,540058733,113306044,337528085,115512266,184312006,474734902,245304264,442673747,451936489,616961376,261978071,230546722,601312403,520921174,376738376,785964937,287191714,605678417,465288231,639132076,383340932,767779780,352745278,207419420,60321748,221546928,4386505,724358954,200422557,160860976,549651994,541922948,341080796,54285252,113369270,247721583,359985956,572439224,610895766,181781842,381391037,228361416,431984178,679288271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82714598

Returns: 21
758191

{11597337,8253208,16505375,28053068,34221064,24852964,32443449,11372866,28512495,52462874,14068134,44796282,2970629,20385686,51050936,33411562,7581911,8855824,1,34808037,46093790,4164606,29987181,24262113,17951706,43975079,44292768,3669487,30950271,28507117,47993896,9856484,49049184,20256281,46549863,4120672,42338274,3994388,48649479,25993870,40641217,10381252,19014027,27120935,39014727,36379897,13298060,51851736,20874564,12657402,47484833,21555270,38202837,37225242,49987425,33313708,17625908,35752934,14683894,16128266,24822463,39725203,738028,37894173,28129240,1312417,22432326,42309784,131592,5784277,15922012}

8179209

Returns: 1
655732

{304697084,199709630,139564351,257030960,247578239,29162727,14093928,62294541,276742830,93769677,322492690,77790430,123201811,331800393,238686449,35256140,116819533,149568284,86701730,214601691,31475137,289013239,159135385,256182736,306867295,230479540,73441985,325097028,170937668,204336007,313254377,310591959,77877210,175453750,226199893,51147097,167574875,243336094,244920173,182045668,264026790,327574531,92601102,270579324,242378087,316562867,274511335,222256177,229328000,15857352,85252686,264133369,291048374,146857024,17158266,48381815,248892691,98953993,131645711,214638455,90005840,266686321,301646582,18589237,76675803,248953856,313216147,307449876,120586182,117956199,248064130,119453940,44006504,254064609,187135142,21639157,208263340,59327947,98656541,111174173,229973099,289301728,24537702,7015560,182445959,86037058,290425454,23137988,137127288,43628352,250072644,118965978,171501233,179883015,133653825,90964457,273440245,136903668,318965448,41167399,101204619,144336835,201617710,220401650,49835582,18165463,301806810,42893221,140982381,133683614,655733,138223119,328091889,94612870,96167631,250808095,79135382,235555386,226397010,11147445,294069237,85816820,189962063,220539333,16094012,127518293,19179874,20983425,66228933,18272088,326472186,155923443,189707071,338347833,270646051,147365233,128523473,205015083,28852209,165678228,80295463,207228076,318685753,190953014,202555552,211718129,209027672,110818709,48990614,45717386,96949022,253122865,152683653,168581644,157647175,185608772,315297937,143134120,24488947,47868437,121871009,62961736,197076402,8928727,116064565,280653297,339125345,245807177,148565609,133100454,13064176,35508875,103350770,213112901,176712548,279284482,61298371,180737166,231890218,179616331,192995359,335112061,308894545,126687591,12829373,250369357,53356477,160998713,3278661,67750768,225571809,31938194,116684280,7048113,54926570,195833328,38399237,174091723,56115977,318991544,151763967,199726798,177081852,157880086,224916077,35055774,315681483,235264807,296649329,113231968,260913410,106783874,222616418,40440844,113451833,190791792,276365524,94832491,3967700,79124228,27671227,299059970,146228237,287624530,219298805,234531935,30167719,22572101,57574272,162701602,284899312,145382694,84249251,71114174,188345748,314146196,65573201,83758268,265336844,228423942,124552788,159540009,194340488,161858047,257971417,154598518,2190449,255528119,242026826,328146128,227884307,55581391,94381729,52975285,259206100,233831999,320652949,44958305,214602065,144086386,239868880,303943664,237832309,271134064,33442333,69290521,147646079,263753948,309208514,97365440,87186888,130089595,175691834,14407443,299487046,141200922,244461524,206685481,173040577,312359614,304929892,263235749,168211746,103120715,239585863,328451547,138749435,135080793,279892394,315389547,74517785,14588869,210627548,331809021,229745307,216720266,156327953,208663220,275021954,194013603,164581791,11947613,321936999,71579783,101108748,129355600,102949925,5727337,321203907,221158678,295697795,151238944,334278952,83240010,150877280,770878,261637069,131146401,307134884,269943166,288522081,89835285,322742686,3934393,64917469,109986317,292111401,165304882,184710620,338705767,183376600,252351814,108413725,234003605,11803177,196392531,206456242,46522853,184702119,107842677,276998498,281915523,123933349,179887414,1,91831397,72132112,119755333,149506897,246894496,235675268,142474207,291896447,154252808,256611308,269125422,169218467,106228585,1826976,306977937,29431972,55467963,140183240,271022897,62458807,37376725,164985476,255079749,189384786,198101451,315775089,39729520,103686454,113421118,302151549,107770165,334290552,193949214,333456773,291800741,150818361,296387991,132130971,58062586,160041647,27125961,206512687,203932653,89965982,179014837,22309876,37876786,124909135,75409181,187575689,67344587,221464007,238718017,297447302,323054636,68983876,292298164,233085702,267206818,151063302,75767790,218078844,284233076,330340170,141576182,238893433,32256110,157375681,129151999,73933663,252884006,220264347,281995899,232093692,305141992,70646680,198490175,77376377,82246342,283036996,202856037,185747248,124750016,66800928,201269479,285523605,99672568,111197653,46048443,172193079,274095977,135724517,103601236,88611618,217292289,54299515,99983649,177434754,245880349,26885013,125552692,195168657,78895853,10078477,300163647,275565949,34555212,339081362,6496962,312110912,107504357,82086878,57239376,96876534,205701597,218868827,4930243,336807988,283665416,262445564,324538204,336174196,68757169,337618294,51479338,39029379,287210617,295335754,64261737,42405031,118369889,308651205,327210269,277872088,294755611,332510965,24007842,213668226,280904090,323770434,136042973,183898011,169591650,59624336,173101909,192194283,227244610,264670685,81956591,212114313,241950314,300199226,120995592,166811864,257517494,286322827,294981811,162405993,41966849,50491365,22131129,33547094,258367228,329710002,8023025,5867166,52407994,214343258,266696947,113414686,112576870,163933001,173564423,262284741,60983077}

166767095

Returns: 5
822398

{11553715,165832318,198749288,24592741,13615883,56077271,78997313,44951665,113490925,30810331,152146788,114059366,212355725,68117499,178123036,16295430,19737553,157078019,15773696,197472950,125043325,147200687,175582886,37007911,57697345,83772426,2188392,209170553,240654631,230619173,92930975,143777986,190740001,224784723,89205957,28573495,158986200,45007957,117834770,210045428,50318738,146386845,42419273,86246206,149297090,95765913,1,94107217,136643025,117351579,237777,185621084,183271719,46360539,11269213,132019946,43962189,25610105,54454304,89820909,141720664,196960799,233305886,239977556,217913096,7401583,7588972,61584808,121836464,229474554,70225162,33526176,169908080,6495587,148939278,165254733,114488684,11542135,196912635,136001955,123424859,117244401,147517265,60825263,65390155,110758894,21465583,93317741,39759432,162849971,221116161,174890502,14880573,52215673,119179714,197592109,3618656,182860014,122565667,205167538,31916596,188256704,68675490,177210248,87760584,170545880,21101905,242474419,63903933,233263328,168243522,141426612,237594364,179192652,194059424,171881183,72020192,29234670,75488601,172134637,200148680,38575560,187324576,220328219,77135173,165682133,80610986,160777495,180071306,204143362,215188815,98687761,55146170,163650130,65621225,238161923,62711873,81311517,904893,98874765,188469622,234770287,133343521,58583024,63163761,33266567,62230371,180234885,191412809,142511141,127906487,240484185,225924702,20486926,200676139,107832109,22099739,117536072,148818654,152085943,91346261,226239687,126640362,162834805,212075889,119706748,136373845,3246599,58639202,227756428,68783529,173303738,94504073,13648012,202735731,207244297,219406431,74838219,133203285,168805778,128252610,222101920,158394857,184574772,231278878,125666114,157525752,111105746,18131202,202965119,43587095,140066283,70922036,174628798,217113073,100295584,24985973,109097920,223307424,229295827,196422402,8727467,81662410,27904623,211624741,97042965,145145652,38970941,87068775,30895209,243562910,110704668,232407103,85260476,244782173,144383026,116780517,105266945,139628868,245108010,217813795,134455060,128854123,129534387,231555061,35257353,208053206,27507468,222696481,213991841,174329458,195587997,78741833,78155745,221924206,26020390,52597839,160019630,23647712,4906592,115161099,9048557,182205038,148701718,76033853,194582120,97277981,77170899,67436637,101875905,45624824,17961872,181613888,110174877,54320614,39555837,107122203,236074884,5316269,233419786,101910667,10691175,48011958,72976821,167061308,103016286,72634088,207417744,154793150,215332380,100001483,88234348,154610825,159556014,104243270,193217574,128925495,154941065,125004497,192271149,227001942,242325255,189973939,46739821,105892818,83707543,186231688,148813747,138771252,46468884,133588305,209499315,37830309,49180322,40847665,33852428,106559026,90905377,203053637,54278269}

101406619

Returns: 4
1123420

{182687932,80037326,29150626,209413810,68792185,116989868,34826021,15269154,49218755,225272586,130959298,174005311,79300359,113658418,156360277,36934738,122452781,47939590,39845622,226377272,73770670,162383919,27332357,136957882,182077498,73299195,33647227,100998815,40870246,103195614,128888022,108529553,174485408,51677321,243695041,149296951,67139357,220405588,250643492,206121161,3257377,177250412,112330042,233934671,158502239,116742316,115712261,139855637,169636421,237249730,212335507,98162761,147237359,95340291,212326381,156322232,155655395,23591821,217773305,3260870,1,101729742,262587162,251966861,61486822,213552410,190411090,110959700,170759841,92535338,111963650,13258598,84146087,264454122,238354106,43462395,145355989,258699254,191393420,222040647,44694630,236291616,24392623,138526830,127454419,125754416,177928818,149642275,6397616,13183563,25793534,72695830,76722269,120205941,63883946,140696141,203947604,105826876,65292297,151418987,228946830,109485765,171717320,247098504,105472148,180870621,181799412,52451522,147883422,140242990,203124116,179747201,56547240,235918201,60664681,251990478,210375038,135046742,243322830,92812323,199627610,168513001,97381323,121259711,133686981,131848275,124278125,230025870,59040488,19081303,228374478,248446911,13341028,54348333,166675801,200547176,22468401,88594792,161631112,133895,119082521,203718019,186489806,5617101,37129485,66256287,161311115,65153493,226319317,11579321,200589039,231389652,144025105,37854345,222522082,65009670,99629288,237982931,90267220,172556203,197424114,62429844,176376941,243493959,15635434,89746570,143733233,134499777,193047984,75940913,260839194,10593854,153908541,26962081,257319449,91016307,6994952,248053528,51765561,255613409,213521808,31455761,82927032,71383618,86059544,260289339,191769401,206333074,6647376,41769401,254404354,192766633,159434288,218877241,1193803,195191544,28184955,185144531,53963487,144484295,185016348,261844718,123555932,128450244,123123946,248487961,191347562,154730685,45465721,161434758,256717610,231783267,49733576,19362131,224333768,14072032,9711097,84255983,219929461,81829719,78481321,84955900,96114177,241717512,186895565,207642136,188040787,237303016,46984156,104478061,32579181,134556352,164823128,56155335,35949441,214703081,107573270}

245535724

Returns: 10
114876

{38020100,11041997,61473892,16542145,56549021,64981744,54026187,49166929,43349394,31796188,30497775,16955654,58873470,34561678,64366977,29860442,32218870,38712708,10913221,21324783,24620982,33732606,57667753,50509906,3972193,59155058,61217466,10223965,13082664,25313141,65342057,6633498,1377796,53817816,344629,58485537,53126036,20613978,2928950,34851105,59675536,6153160,22378892,50070431,3862384,51832525,14014873,18306524,5540610,47422802,39939092,19988425,27263699,3515239,27421012,33035714,36624015,53072260,32120913,44230496,2412397,64588352,36203632,61061770,37733616,5669921,25148749,59580497,68241666,25453334,27110737,46168068,16078435,37727748,8850887,40282754,15930759,46030968,49376823,55109565,30696300,32029892,12116533,28702236,28029745,6851914,52613209,44893359,17015048,50377686,15623137,2023045,25233554,15809806,8271073,59046265,9637678,7921082,20182784,1,32951874,9771332,34647894,22807908,51315042,31897437,61566555,31131397,58001116,57208249,63606655,43053294,63871057,13470282,16886773,44076783,57344826,30644120,20102355,33482610,44485844,4646814,53059702,25951233,50626576,14563786,35203272,20506173,32833648,26131506,48707425,43106561,10645418,2430895,54253786,53316866,22654612,37812284,59927957,67979202,49581284,26266948,6673355,18485874,18538266,13262034,17026407,51140460,13210741,53685494,56679788,973246,26726643,48380200,23870270,16680430,3904885,14458215,41962117,49693196,32816451,44801072,67187397,47311994,61335625,58813967,27585392,17924890,48024395,26783981,3281426,43997509,28144621,21770963,54772120,63664798,8607833,59485644,8631663,16185865,46177507,34085804,14390804,856414,22765922,50148470,9751695,13297222,54537459,45694287,98480,3349025,10549264,57064396,49951307,23839283,50870505,17805781,56928781,17464789,18711720,11372725,12472835,47199521,60563265,7696693,29684841,2195003,26230193,33650671,7331429,24132661,47534371,16626685,25617349,47691408,14751463,20933266,4463699,48989240,62411516,35093027,10936084,54484721,12319242,66594866,6908029,51533439,35576541,55278699,27566422,41125609,52753660,39632221,16969224,39202571,67946140,13507673,20675334,44396231,64241150,38945570,25882290,7789032,2826635,64577542,46781027,37169556,5876139,43103842,46036684,1250591,34903443,30238096,47391184,40894645,29239658,67225843,53409344,62196934,28197015,41385724,43732688,17143060,50217814,34356570,58127257,67776841,4637133,66379775,61671516,57486124,21871294,62561582,2182645,28999069,14962998,18536978,23090077,65859969,52406448,68143967,42125709,4167763,36971499,46601647,62952049,19846644,21469592,52368804,45629414,55137056,11823928,11038078,14821562,39172717,33109166,29613914,24198260,12659053,18430930,945568,61407503,37441023,46421243,22013653,28924586,52119368,47997055,9534709,23155387,48711952,40720851,41313912,7445645,56001352,18451860,12337422,32697868,11701571,20613793,23775273,22137296,43709539,16296739,30888837,62385551,39401175,10330248,65113145,56249554,53770008,65445952,55643926,13642639,1709493,60117652,3574704,60402564,36091213,52700393,7849600,31138737,27722231,37059217,21214331,55599985,48362797,29704486,29204928,45350272,40206601,15351881,42700189,41699989,546155,67025373,53509504,3764505,6359857,3050426,42822032,4530357,14134616,63457613,48522114,19448945,45576999,6887674,31916821,64223592,37222087,27696861,15495495,48247921,20422079,42389245,36866025,19453340,62166570,31506787,23134819,55831326,31532010,66332816,31987968,33471041,41730054,9191687,9123685,1952498,19485078,58876,8480047,26564602,60969032,10423549,11920010,63054937,54492043,60736658,31198482,6543546,60884281,28365326,64793599,42472869,9057956,65773249,25636501,13767533,4603176,34944827,35752350,1838017,47754245,12286081,57323125,57897505,56602525,65830462,68072728,36340798,28275696,26449975,33353556,61925901,6258365,24965775,61849843,10718966,17902081,40604426,41420490,24711294,67650503,38719593,35895796,5075928,42195105,51435189,65619305,12061981,38900125,22264381,24332507,28918398,20506130,36384474,37620176,23552426,15246257,63384380,24084663,44412189,49674734,18194639,16048069,7554450,518400,67466244,5946129,60470430,31273139,51648343,9380932,54996276,1528045,2666835,5858677,56426813,56281339,59324050,4307440,51002956,60308306,52223024,33708928,48863420,32585013,10022727,346027,65021272,27159587,49281805,58471885,34131262,17470555,11588577,14118681,51974972,23198010,63079329,25663056,63222022,62512409,44980842,9994213,65561185,28915334,66171916,1488081,58220687,44150721,66857833,51497042,68500935,36760321,45868488,62002887,59107601,64100809,38418331,44494354,63919381,43156849,53923533,34793921,12761165,57771954,24583465,46731346,60080149,42498983,43515846,35876457,8358528,45205939,2618730,47099161,23477903,39659116,18115057,30212389,549879,21704748,7157840,39906940,33884251,26942275,55804753,14227561,3216529,40895928,55713765,50385476,54162775,58644154,19143537,14736416,5446151,19410941,28604125,24928093,19258509,66537340,49499244,35209259,22627880,38171947,40410872,37737706,38244050,54715490,5201570,51027171,35636850,30244754,39761938,28649962,64207182,12971397,66956101,40297632,42963625,15636449,67858689,8156197,66964614,11487601,41929741,29152057,58236437,59556112,46979035,52850233,39273418,20323457,8741424,30610027,22472863,45471055,21550034,41216530,37164560,65914556,5376773,5054545}

29963708

Returns: 14
481093

{43931479,256428283,317591889,132685354,116842652,41650944,62585556,231953869,140536510,25929785,240393800,28050343,132154799,40624562,192415823,220080716,137382807,147682396,232626403,330425817,105671289,194842666,87795523,201034593,170158711,142646869,74040177,184739713,332907566,17477205,209289023,75481486,246586137,336389159,226083356,7212783,54224333,262065666,129545286,242946893,246827691,145852713,253237931,8623048,142909044,327114511,336297069,117840901,48786370,166489253,400581814,168779722,295391103,252393140,283363778,63176471,331719319,159598097,37917833,81658867,277329508,220678580,265828897,195666018,68231951,193890662,179928783,277387216,337765585,114670457,353438442,361159219,81051935,325686725,35361514,275495910,331215291,157543141,280958313,96488139,76008490,401818734,340286312,348417961,118279650,357513311,208408649,133220096,77057669,395712860,333370632,38577567,250440615,44641742,367683426,201159733,33589045,72104276,287049954,355468984,329377619,290950393,145252298,249460463,307120196,188789210,357424899,115873498,92717047,235081486,134615754,161243581,198197407,363552178,313511991,199063613,208315447,202068980,335026267,11006636,65530901,387182762,241027594,21649186,339921746,116120177,324256683,130734538,107796551,105576824,405898111,160564206,290580173,120781402,302770025,334840729,392651021,57884829,93235152,173642857,53366463,51833788,307480052,337218050,228479285,69039825,219531981,112074839,133824826,92655810,322545818,129116152,352435204,60617719,374668962,283430774,181603426,80721207,256925465,274333147,345749976,117008664,8612694,102704607,78951317,399939110,234731358,378536784,26111837,18881062,205324094,296804124,366740853,388471330,155968014,276258540,20519420,185701899,313583621,177308782,215630746,342738124,343522670,135510991,306496055,151937996,24972672,189857265,256950057,194910133,322268720,288248511,124440560,382127439,281865705,213257778,96171979,311506703,73411473,221043906,320474818,121649424,265392452,301901659,199327048,262083084,145007941,99036549,142152422,327565619,134652919,4562525,376382620,49301005,392262098,371366315,149907833,190570130,218897316,251457417,155056547,224109285,111477743,250168361,152710620,383868874,27253805,364187402,205925770,388311303,64722530,371567343,7197049,91297853,270894023,223280272,172231295,247348743,121871332,20158281,287798407,406278252,345133476,66610092,199024804,401424971,257609240,55912821,341094938,127552121,297182078,301904397,160057760,316456920,386291009,237739048,201322229,390731894,84877006,275531587,217275005,203000587,76974881,187011617,157096707,241508687,49477217,162078649,365587513,163989339,342341924,86795830,382386045,70238309,256116282,103001028,65428439,396696396,28415184,244398809,338649908,290613766,390166424,113786944,204368951,287913353,313479319,181733639,236518903,156296856,311253935,1777390,304955547,139492716,63368924,47199165,311600862,269081234,229934815,32749094,174032794,301280056,82722796,172343506,183777527,128855272,117780570,374242990,106802647,23314599,328894540,149138831,365666620,315272447,221996251,221516047,69256093,372365983,46511278,390179728,222990472,279033941,192507554,259369052,39930720,57689983,299282878,165353838,212862522,221742161,125024202,78250382,203885937,99045710,138546869,207688273,326339980,11994780,59094760,40225597,177659835,377972127,134745002,392386891,91535286,270374267,298237195,396356464,113154084,88468431,57905232,86403994,149514168,304259677,290811582,120708558,1,4123525,352097251,30687343,257972395,364944504,168944914,144808994,55003180,144268425,107554283,379296003,191262353,10026146,316756212,7518124,273395311,108181925,16125978,245148381,406930928,349700973,383197789,170688387,248952788,196417652,332117305,254049532,112548972,122109180,279693475,192816059,254608997,166960272,203802609,398826098,83468604,61350318,101562171,324610094,90368360,297689933,308464371,260228591,268346493,342057124,281198078,186628920,239450071,305779138,230469628,212891173,2131198,364794036,119545716,30199235,138906716,293999309,197729224,191492472,339651659,13079736,110578734,343712436,368918343,12916240,147961778,5032532,328377561,381163379,264544352,189492755,59252063,154307261,293680177,84165018,239615046,396731364,163090528,241907988,29404262,242412941,137171961,346198270,159078785,41212670,347474089,13472568,225328719,16567910,193330815,163555606,394496261,319306274,282304214,301210203,65711919,3774678,8415687,254017105,227869063,32714325,90729458,94995483,335458651,360235793,264977421,130161724,233384380,261714593,99500263,170716931,195766074,57215518,104683325,385003346,51291024,218416223,170607982,81810817,164476841,178806167,373093164,368260132,101393178,13976394,55142323,135480420,120273251,312429510,190383135,1966665,226428762,284754790,622088,211295212,360819751,237659943,115366607,351678984,254259440,167482423,298996649,181304899,320474945,43265605,93566928,396685013,78591154,11906092,44915277,319705809,285210237,272412635,257897496,343489107,344615255,50942487,16475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340742393

Returns: 3
496075

{164789879,113822627,289821477,141880541,299891054,196610605,79372001,96559888,250218394,134932401,34227091,47578146,75774512,35579990,260947781,101858833,215993182,255683866,104186846,118940969,116322858,242747141,197596388,277089224,267384426,125432868,283336065,302812053,286176428,11545422,73828827,94002713,188940219,74144201,52117402,194548116,206213190,31638631,53080026,254049639,222903159,77032637,281934157,163143178,140649545,236149773,8766886,112007061,81356301,32740951,48286347,273676642,221668458,289006469,90430343,239909518,142134477,201027415,72387285,288219576,285739201,293872709,116027097,177346281,301256055,119201667,223790249,104565473,231681367,66019779,144357826,64985826,24584521,102963080,198681623,298637151,200032402,6057305,109873679,196175510,164200826,180062577,128993635,286609169,186028126,258970637,44364132,41214904,16043370,10492175,43365422,236919354,269448074,286458608,24968365,229980944,28382538,50915405,17120140,300808788,13223265,184136281,113902619,279708863,75372567,255049766,169637087,188160548,292777920,40391772,95038778,127088792,104125156,246234371,225714126,124137479,241807336,145074794,181799457,195885135,88035661,149915207,171913759,30025834,90604013,3902181,241800037,58057457,65105258,122448729,85069450,257119376,13843830,56352237,133589533,253879659,222683788,1953931,302521174,219182827,204006777,223729826,84610788,87100503,202050800,39806141,17393913,281770601,77277595,111557200,23573763,221249451,30197399,121169271,50507140,7795277,63993676,54449983,289693677,46025282,191785993,86115721,186889246,192719767,226038206,210570920,7130624,100152634,128387532,223854717,36823062,169538931,15170774,141039292,273008885,204900326,256966851,67965407,59885130,244496095,91669293,61591192,108600374,33720532,149814306,135819305,291652944,190956778,259943301,69993300,232636560,272386669,100824313,148359706,173517351,234599769,157212016,165630143,284504145,236129055,10308789,240612817,152097720,122541396,28980396,18614417,124018751,46839707,47747569,197571298,211025275,17546204,247541426,187324824,250857043,295324502,144679201,76574661,260928659,66171011,112471787,206706844,270768074,133448246,278647863,127659869,184962450,138052097,81879469,92334258,295501993,156708584,245919236,193830370,241200897,265400126,30588349,129730288,68880190,295956937,245365048,254823485,70165523,22045168,10206829,283024044,38396829,271437071,289392910,80178651,44150676,37747569,158667337,145769874,117381875,1,141424825,233067146,95750304,79868076,138600624,182847194,174082107,204562021,152165640,165572989,300652548,39042112,93575995,252006101,207359351,113513233,220028160,58760849,154011209,216953832,267851176,65977976,179127079,167344194,111518427,126499126,136751952,47606726,8928796,132948101,274323718,95876103,260915418,290854647,13829639,108364974,138629227,4423410,99502456,219610800,276304305,139893151,89378937,274721481,288523383,165336864,143193155,107683303,224222493,286254463,267981214,264125732,263871658,15516472,190108798,146005491,19318078,25293112,247854373,64148457,98358303,262513461,281189528,303608605,161182369,280478198,72357735,212928315,98299799,148748837,290950539,51324638,225944492,211140880,140234678,97854354,126729099,304746576,11322129,231170951,137881130,54072176,28050985,5706471,155612308,292998407,179061740,182972899,153615943,131053067,155795181,257702903,130286903,278441691,280047311,55559180,94180669,20424128,133444176,243984807,210002309,117495317,88693025,252744784,69665606,199891777,216602151,226215541,304244150,84332751,101695376,76395551,232934737,39686001,251398249,180195447,82466592,305664282,269095676,148050413,166882372,71355289,174813243,202647027,273170446,21735080,37470675,295109961,34138153,230243271,74907326,277459783,76607384,248707162,21319080,171316812,151437894,67466201,241969820,91339933,135626612,258477936,171084231,16866551,237581065,106465887,71633747,300621451,282762751,159523477,56518569,239621250,95168536,45469542,108003990,89719538,3472526,153125287,217776926,225963165,299261002,207779384,40862890,41813629,60238582,264075995,159055432,102319934,193187281,77140892,149541971,63271005,220141244,189116644,239108151,229041581,164525406,67929573,53178208,162203261,42506559,212199551,56719637,171402522,137378579,26664678,128738715,46136515,297436171,105322402,202055239,194128734,5456826,214289309,235483352,151193013,299090339,130507869,33135980,18711526,265667152,163058357,103372010,131914966,104423038,147208232,124031043,197298959,182591079,9907870,248533576,61512137,208593488,285049370,2321302,51622309,81531574,168665501,7134611,209113324,25828985,263415826,110120661,92944583,54148438,23312328,36536243,157284656,160931514,255444841,24158279,25261880,179366260,250021801,25800988,293320528,260114202,215109350,162542969,208303960,237577068,59977684,57382502,114989924,176190389,147162372,168039884,303597901,235139551,110727197,222050185,173130176,218060726,160728301,252397548,33404825,199549888,245061051,178008857,175442850,213017434,130923114,125509151,2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202986827

Returns: 9
767157

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648524539

Returns: 5
486940

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8,116532529,179192236,141743056,106639861,208897261,178332998,172497070,145087783,5074481,46037982,28242521,143160361,202219691,24461499,180528324,86858118,136945799,132267421,134172055,192792069,182321505,56375781,102910043,158292176,93718991,71797737,214247701}

95907826

Returns: 7
352259

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50351886

Returns: 6
465267

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251808912

Returns: 4
1540424

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88094451

Returns: 6
934985

{41476247,276755561,499394421,430226819,68253906,1828974,509205273,102864601,264079830,273051261,347814421,225742338,506906262,92202155,317389179,154801476,407056373,89147483,10150070,182322076,21841141,65079767,82244467,52553537,35391866,470627422,439344705,357983872,221375364,522656616,517575275,299515300,451589780,83311437,491507544,444842632,190967130,180084320,456415762,233276724,329991242,339314153,465493490,503410511,96997466,468933899,235408143,270330852,242183438,6931175,115021323,84098696,279560516,392680783,510121653,184328057,480333889,17764716,427288146,20282086,79431765,414629910,515229737,27939088,146150339,353424331,113622841,120336343,344722269,327368955,433592135,379987707,373535031,19564722,264953256,360897895,160817421,224200867,172944218,157014105,260860816,63776140,231395804,257988142,354789622,185193981,139037531,80989211,397669109,208399035,382408866,259687122,377500058,520375763,23917258,508631841,403449422,197234064,224190111,125676585,173907211,197759576,140976373,140247751,18900154,36056182,433695598,106588291,50689670,455337696,453484327,255327843,1493364,230983487,15125253,193333137,343557127,69283913,196719926,72383242,136827509,54313991,238852035,328726082,402043551,393262670,68264698,22245857,428367195,410214295,256141672,274844130,252095780,42551508,473653575,121767725,216208190,43192068,26005523,314247711,152389938,261083303,467344396,176058955,102691985,140954303,441232313,392855208,307230240,37635863,346573504,297560701,366020511,43614338,369461660,89281657,130941398,246265642,167137307,422957373,193181200,13191596,48303645,153946422,423624808,111284324,371802166,129839046,27220671,18504682,408403534,185395366,110737087,275167525,249807762,362774181,312165193,15114577,520068209,311345764,94237435,178123769,343139496,345944451,215542311,180035757,25212806,511757125,184706944,75570750,48722168,437125508,174594500,316520490,51556578,162235319,195587494,96766211,219557068,211518355,326182955,159075267,389023781,66100407,488793016,237115098,210899532,73588499,218016051,420133936,266037117,440500834,161637710,510578995,109040944,258910540,151467571,492064801,149461087,397413468,444294965,40204356,512462104,333448997,272054915,188623245,407684928,75135101,318906070,283300456,305929658,157776524,475486200,283980550,336867763,267195988,337807200,148220421,438351295,322612272,166951897,292678779,432165196,464625017,29640232,46708981,342204511,372062271,149302441,505556732,355096278,513107853,57406413,397368626,502273954,404848506,116774969,70453669,227394374,361140629,492700076,363195327,318829886,205959408,493701370,176805339,447721087,242161116,485522997,249587519,462006475,245803869,302684938,170675739,430093101,460485958,278336836,410867051,213176581,144653855,372785598,131417141,269883668,470824387,289607236,25601978,209003473,281212792,30982232,133566315,164787551,101010073,468261952,377128307,59168101,330977421,250215323,116645568,198197335,296878614,384812130,227836962,54229131,29797871,479956615,302868471,456086314,474807435,412328386,72207312,33659461,451616409,295494181,466381676,386896714,1,244804235,487750689,380848483,77724021,115031562,247040129,523711405,169388592,495257894,82508990,135572826,383976166,490806277,431560323,288750054,59252302,296974443,7853405,291129271,358170614,217325726,405721612,127111100,136381474,435613238,54239187,363783200,280486758,412398141,387312563,98649851,516139306,13089791,91302407,311334487,34255841,85764120,37138352,63278543,444117876,205696701,304139842,502816280,206669995,452742441,428223131,463504577,30483359,208319214,470108658,425154766,444718184,327244751,461424927,470837553,236878151,506761871,375863971,502086946,195228919,367449106,57034086,388784949,489501769,529201511,444982279,158674219,6540315,286468593,202848438,202551219,308968747,434315469,239924544,10635384,123588294,144153359,164121734,524116253,264294182,217880104,4480175,126157066,369319076,340294840,290561568,308995541,406442792,499737869,248706011,304691536,378953724,50059504,315946254,383873726,40809538,482452261,519851661,117086137,182933490,399579142,240707675,189275754,416892572,487123581,368198972,250194613,300660351,114291757,183475053,498170245,418305720,389052232,102436160,395084140,131757332,414090920,121896511,497120340,426353161,365230085,448101065,351494479,226897632,456726453,269628506,359664891,47385742,93498501,287882381,60697281,484322231,164064164,414251665,282082382,515176736,143987691,112859384,522673097,127464324,332083295,298396721,336165578,417122671,79225318,263873514,525443592,498638216,86662236,495795776,121548051,475326754,322894821,438856813,184231113,66308178,252844539,244031086,71480949,261143934,145696895,355279342,325368198,321548176,167176898,419679978,376744407,277214344,230700379,190088392,175955181,10546434,81891135,108430530,418558950,105343572,95740559,107250416,284086887,263547458,484464987,233638126,450567964,320251845,230006311,382988919,86613530,36926813,457777200,478712321,174952553,14153732,4557041,255047482,351684439,284039686,419489624,292445449,349845119,152334929,371189046,801891,236317564,201455810,307495846,400214713,354305479,9349851,197700599,395897565,402401672,61687843,340538891,334906501,126874726,96446727,155949245,45131333,204490555,110233525,220488858,135885663,125275601,321585959,213997649,313842753,142129444,441851703,483215418,95011393,457695933,334271947,477160986,349684391,223195598,294167120,526913769,171528817,348688067,517439249,479538162,3739941,214993337,391758716,525089925,99230702,162752454,293996212,76702056,58904056,330494680}

167147795

Returns: 9
519317

{100979509,349299232,233220255,90589306,240361232,240782904,243036972,397659714,129051651,148292024,16642401,161937008,218611349,218108086,412857016,261638894,126128931,105274488,334849000,54985921,70697793,243586607,393542619,289084433,222471776,246777273,54410071,425814626,323613028,426899202,168984661,235250602,1,33755606,361444633,278579455,29071065,86306193,161507588,124502182,360124166,298561663,128082731,275474050,209766498,120336935,5669826,185292482,422254128,413067273,313148152,328581616,286130714,255246628,2102803,3157310,194178519,105633560,250943826,170886602,229992350,225183273,14937230,228389669,126396331,231532514,421378247,308104306,326927598,111133839,25526402,315948173,14442102,192059767,342229904,97521269,46139026,109575888,315319296,149731396,304745964,57500205,256754748,279141613,304846037,432523945,174327434,302182361,89322525,157331292,353459482,383775264,126019783,180479467,125630407,92755964,6751122,422005244,355577314,392084336,284145637,402626750,121994158,436226281,258749020,14126076,363521901,62111730,152395041,145928078,314598115,326650394,321401287,287784300,363902300,146831204,171971585,67883575,285960594,72016110,118498481,267406627,237085207,197897945,276765766,23307690,238837275,427539451,259542091,329666609,221105050,414737222,113222352,132946069,326819450,215688015,207868204,187276864,408882143,296301795,185725525,368140424,18190553,97747035,130867885,300958538,192648895,276408180,169883573,287068487,3946402,91919110,64566589,35167356,378334787,10123948,230909455,251134796,103999233,308752204,164509603,111841652,305944425,104396911,12082126,247594165,165290258,272637512,167980821,400731336,438067211,317675094,287158333,60299920,346384440,80456050,308827,349036664,248212265,270359788,214369410,158521721,47266956,164563887,237188939,280176857,29301472,175594806,90361159,193185925,365636754,388753046,269397792,338745844,26832226,254004655,292885514,217593824,401116732,316568672,207182104,232590829,111610385,64148043,20774542,202921240,373908241,351805019,122874673,51964894,299935322,138199837,437393480,90828420,188878554,203511521,200797263,446867722,62161541,351174097,93419174,224864262,262774403,345345806,428521367,392603653,275768238,69295906,338099603,59494878,120798049,49579011,108324372,256489040,443897965,275022802,427201586,13931073,390526385,329130802,238182830,78735096,441003529,317302688,351058293,31859802,333320057,81284156,445152492,209242064,394158745,202014314,115506666,346877746,333920832,416979334,59202139,280615275,446537097,292230556,280425669,162316091,338864586,351426047,42987901,26893490,191108657,82447938,68460246,179683683,117454367,426196367,700685,423178367,414978525,253946014,348981025,361859498,229411459,262972044,155908120,344160581,11424975,344574374,406096614,7789756,297080180,215117795,383199566,211554115,357737107,225867370,442071933,102225824,385370391,440618586,258325351,226829363,85754909,214866158,424664502,39218351,273501851,36930944,134943815,323202242,256023282,191306635,182472791,198223672,202756910,387718283,53231995,174574627,261216452,131766883,245697690,305044268,181446899,352646101,15390427,362321447,405189581,58201860,302935631,74439040,106842739,294127735,342633023,265036920,38379296,72210118,331142026,87176764,380083015,58141989,112364082,183209381,34777667,250656306,178846962,178323660,363934955,141743506,84935456,199287062,421118647,404437020,446663567,435060781,107282791,222821300,433128914,116364671,267952268,379675013,340937606,372707712,53468898,335702436,430513794,310309134,283632571,379785118,150262936,213654810,239209461,291489649,118270563,328032413,278853296,138800326,266191681,297195417,159169373,415996172,428562800,143678960,139696274,5497395,51747277,402644556,265117804,60093909,206514426,48028958,331749100,43289931,87241376,76299742,243251202,404622268,229018798,440920936,146447395,239370062,95554329,272837916,196721563,264386867,81930013,140494160,215948966,348014101,417532359,368715071,106069000,144625035,271602792,334088383,85160668,227952509,189550706,382437053,56605554,19682067,245970658,8239157,307953842,184987388,227002926,98679701,385298283,218095956,224223629,432751168,204695321,168804390,379431834,302750976,362220755,76473279,22337371,189792755,422450555,359359748,436404897,204797226,250310795,289832980,115697554,334971074,119306344,445910706,172533679,355092617,62322132,47787733,108604637,338075368,123322088,75203175,235724168,295819861,398037826,426609966,444282508,64894794,52717491,8792213,3483150,105217407,123909080,290962914,337386770,271659787,219087906,369753705,124755499,208216584,286677285,65195410,195054008,405761842,46779325,42064678,441971062,430928394,259729973,129346029,415766729,393122970,182280268,358711246,80533482,299039566,346545184,350322698,17469546,66269116,151640565,277030240,264332354,39905361,197683028,196672162,152979338,381099725,42442540,71297538,195620015,134096182,181025902,233649492,130348568,199673415,242302213,243696068,417593440,245210582,19576284,370981228,235771051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171749229

Returns: 21
250000000

{1,702003704,326785678,20212243}

197174786

Returns: 2
2

{1,3,5}

4

Returns: 1
10

{1, 4, 21, 31 }

35

Returns: 1
2

{1, 3, 5 }

4

Returns: 1
2

{1, 3 }

4

Returns: 1
2

{1, 3, 5, 6, 7, 8 }

12

Returns: 4
5

{1, 6, 10, 16, 20 }

12

Returns: 2
2

{1, 3, 5 }

6

Returns: 1
3

{1, 4, 7 }

9

Returns: 1
2

{3, 1 }

4

Returns: 1
2

{1, 3, 5, 7 }

4

Returns: 1
3

{1, 5, 4 }

7

Returns: 2
2

{1, 3, 4, 5 }

6

Returns: 3
2

{1, 2, 3, 7, 8 }

10

Returns: 2
2

{3, 5, 6, 1 }

7

Returns: 2
2

{5, 1, 2 }

6

Returns: 1
3

{1, 4, 6 }

7

Returns: 2
3

{1, 4 }

6

Returns: 1
2

{5, 1, 3, 7 }

4

Returns: 1
3

{1, 4, 6 }

5

Returns: 1
6

{1, 7, 13, 19, 25, 31 }

20

Returns: 1
10

{1, 11, 21, 31 }

23

Returns: 1
3

{1, 2, 7, 10, 11, 12 }

18

Returns: 3
2

{1, 2, 3, 4, 9 }

10

Returns: 1
2

{7, 8, 1, 2, 3 }

9

Returns: 2
2

{1, 3, 5, 7, 8, 11, 12, 15 }

14

Returns: 2
2

{2, 5, 7, 6, 1 }

9

Returns: 3
1000000

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123456789

Returns: 8
3

{6, 10, 1, 4 }

7

Returns: 2
2

{3, 2, 1, 9, 6 }

4

Returns: 3
100

{1, 101, 201, 301, 401 }

404

Returns: 1
2

{1, 3, 5, 6 }

8

Returns: 2
10

{31, 32, 8, 1, 20 }

34

Returns: 2
3

{1, 3, 7 }

8

Returns: 1
10

{1, 2, 21, 31 }

22

Returns: 1
3

{1, 3, 6 }

4

Returns: 2
2

{6, 5, 2, 1 }

8

Returns: 2
2

{1, 3, 5, 6 }

7

Returns: 2
3

{1, 4, 5 }

6

Returns: 2
10

{1, 2, 21, 22 }

23

Returns: 2
10

{31, 32, 8, 1, 21 }

34

Returns: 2

Statistics

Problem Statement for "FindingFriend"

Problem Statement

Definition

Notes

Constraints

Examples